[ppl] 56/68: Imported Upstream version 1.1~pre8
Andreas Tille
tille at debian.org
Sat Nov 12 08:42:00 UTC 2016
This is an automated email from the git hooks/post-receive script.
tille pushed a commit to branch master
in repository ppl.
commit 38241bf302a5dd4bd9a364a8ae55c03b431e624d
Author: Andreas Tille <tille at debian.org>
Date: Sat Nov 12 01:16:13 2016 -0600
Imported Upstream version 1.1~pre8
---
ChangeLog | 4 -
Makefile.am | 6 +-
Makefile.in | 184 +-
NEWS | 43 +-
README | 662 +-
README.alpha | 4 +-
README.arm | 4 +-
README.configure | 6 +-
README.solaris | 4 +-
STANDARDS | 34 +-
aclocal.m4 | 370 +-
compile | 7 +-
config.guess | 13 +-
config.sub | 33 +-
configure | 334 +-
configure.ac | 74 +-
demos/Makefile.am | 2 +-
demos/Makefile.in | 147 +-
demos/ppl_lcdd/Makefile.am | 8 +-
demos/ppl_lcdd/Makefile.in | 197 +-
demos/ppl_lcdd/examples/Makefile.am | 2 +-
demos/ppl_lcdd/examples/Makefile.in | 43 +-
demos/ppl_lcdd/ppl_lcdd.1 | 2 +-
demos/ppl_lcdd/ppl_lcdd.cc | 502 +-
demos/ppl_lpsol/Makefile.am | 2 +-
demos/ppl_lpsol/Makefile.in | 203 +-
demos/ppl_lpsol/dummy.cc | 2 +-
demos/ppl_lpsol/examples/Makefile.am | 2 +-
demos/ppl_lpsol/examples/Makefile.in | 43 +-
demos/ppl_lpsol/ppl_lpsol.1 | 2 +-
demos/ppl_lpsol/ppl_lpsol.c | 158 +-
demos/ppl_pips/Makefile.am | 5 +-
demos/ppl_pips/Makefile.in | 194 +-
demos/ppl_pips/examples/Makefile.am | 2 +-
demos/ppl_pips/examples/Makefile.in | 43 +-
demos/ppl_pips/ppl_pips.1 | 2 +-
demos/ppl_pips/ppl_pips.cc | 68 +-
depcomp | 86 +-
doc/Makefile.am | 256 +-
doc/Makefile.in | 335 +-
doc/README.doc | 4 +-
doc/definitions.dox | 18 +-
doc/devref-language-interface.tex | 4 +-
doc/devref.doxyconf-html.in | 8 +-
doc/devref.doxyconf-latex.in | 8 +-
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doc/fdl.txt | 4 +-
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doc/libppl_c.3 | 2 +-
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doc/ppl-user-java-interface-1.1pre8-html.tar.gz | Bin 0 -> 425396 bytes
doc/ppl-user-java-interface-1.1pre8.pdf | 26401 ++++
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doc/ppl-user-prolog-interface-1.0-html.tar.gz | Bin 133960 -> 0 bytes
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doc/ppl.sty | 2 +-
doc/ppl_citations.bib | 27 +-
doc/user-language-interface.tex | 4 +-
doc/user.tex | 4 +-
instchk.hh | 2 +-
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interfaces/C/Makefile.in | 201 +-
interfaces/C/ppl_c.h.dist | 208 +-
interfaces/C/ppl_c_header.h | 202 +-
interfaces/C/ppl_c_implementation_common.cc | 248 +-
interfaces/C/ppl_c_implementation_common.defs.hh | 259 -
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interfaces/C/ppl_c_implementation_common_defs.hh | 259 +
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interfaces/C/ppl_c_version.h.in | 2 +-
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interfaces/C/tests/ppl_c_test.h | 2 +-
interfaces/C/tests/print_to_buffer.c | 28 +-
interfaces/C/tests/print_to_buffer.h | 12 +-
interfaces/C/tests/watchdog1.c | 4 +-
interfaces/C/tests/weightwatch1.c | 4 +-
interfaces/Java/Makefile.am | 2 +-
interfaces/Java/Makefile.in | 153 +-
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interfaces/Java/jni/ppl_java_common.cc | 92 +-
interfaces/Java/jni/ppl_java_common.defs.hh | 883 -
interfaces/Java/jni/ppl_java_common.inlines.hh | 245 -
interfaces/Java/jni/ppl_java_common_defs.hh | 899 +
interfaces/Java/jni/ppl_java_common_inlines.hh | 245 +
interfaces/Java/jni/ppl_java_globals.cc | 58 +-
.../Artificial_Parameter.java | 13 +-
.../Artificial_Parameter_Sequence.java | 7 +-
.../Bounded_Integer_Type_Overflow.java | 2 +-
.../Bounded_Integer_Type_Representation.java | 2 +-
.../Bounded_Integer_Type_Width.java | 2 +-
.../Java/parma_polyhedra_library/By_Reference.java | 8 +-
.../Java/parma_polyhedra_library/Coefficient.java | 14 +-
.../parma_polyhedra_library/Complexity_Class.java | 2 +-
.../Java/parma_polyhedra_library/Congruence.java | 19 +-
.../parma_polyhedra_library/Congruence_System.java | 7 +-
.../Java/parma_polyhedra_library/Constraint.java | 17 +-
.../parma_polyhedra_library/Constraint_System.java | 7 +-
.../Control_Parameter_Name.java | 2 +-
.../Control_Parameter_Value.java | 2 +-
.../Degenerate_Element.java | 2 +-
.../Domain_Error_Exception.java | 2 +-
.../Fake_Class_for_Doxygen.java | 50 +-
.../Java/parma_polyhedra_library/Generator.java | 26 +-
.../parma_polyhedra_library/Generator_System.java | 7 +-
.../parma_polyhedra_library/Generator_Type.java | 2 +-
.../parma_polyhedra_library/Grid_Generator.java | 34 +-
.../Grid_Generator_System.java | 8 +-
.../Grid_Generator_Type.java | 2 +-
interfaces/Java/parma_polyhedra_library/IO.java | 4 +-
.../Invalid_Argument_Exception.java | 2 +-
.../Length_Error_Exception.java | 2 +-
.../parma_polyhedra_library/Linear_Expression.java | 13 +-
.../Linear_Expression_Coefficient.java | 8 +-
.../Linear_Expression_Difference.java | 10 +-
.../Linear_Expression_Sum.java | 8 +-
.../Linear_Expression_Times.java | 20 +-
.../Linear_Expression_Unary_Minus.java | 6 +-
.../Linear_Expression_Variable.java | 8 +-
.../Logic_Error_Exception.java | 2 +-
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.../Java/parma_polyhedra_library/PIP_Problem.java | 13 +-
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.../parma_polyhedra_library/PIP_Solution_Node.java | 5 +-
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interfaces/Java/parma_polyhedra_library/Pair.java | 6 +-
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.../parma_polyhedra_library/Partial_Function.java | 4 +-
.../parma_polyhedra_library/Poly_Con_Relation.java | 16 +-
.../parma_polyhedra_library/Poly_Gen_Relation.java | 10 +-
.../parma_polyhedra_library/Relation_Symbol.java | 6 +-
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interfaces/Java/tests/C_Polyhedron_test1.java | 144 +-
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interfaces/Java/tests/MIP_Problem_test1.java | 116 +-
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interfaces/Java/tests/NNC_Polyhedron_test1.java | 136 +-
interfaces/Java/tests/PIP_Problem_test1.java | 226 +-
interfaces/Java/tests/PPL_Test.java | 4 +-
.../Java/tests/Parma_Polyhedra_Library_test1.java | 34 +-
.../Java/tests/Parma_Polyhedra_Library_test2.java | 30 +-
interfaces/Java/tests/Test_Executor.java | 40 +-
interfaces/Java/tests/Variable_Output_test1.java | 94 +
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tests/Octagonal_Shape/bhz03widening1.cc | 2 +-
tests/Octagonal_Shape/bounded1.cc | 2 +-
tests/Octagonal_Shape/boundedaffineimage1.cc | 2 +-
tests/Octagonal_Shape/boundedaffinepreimage1.cc | 2 +-
tests/Octagonal_Shape/bounds1.cc | 2 +-
tests/Octagonal_Shape/cc76extrapolation1.cc | 2 +-
tests/Octagonal_Shape/cc76narrowing1.cc | 2 +-
tests/Octagonal_Shape/chinainit.cc | 2 +-
tests/Octagonal_Shape/concatenate1.cc | 2 +-
tests/Octagonal_Shape/congruences1.cc | 2 +-
tests/Octagonal_Shape/constrains1.cc | 18 +-
tests/Octagonal_Shape/constraints1.cc | 2 +-
tests/Octagonal_Shape/contains1.cc | 2 +-
tests/Octagonal_Shape/containsintegerpoint1.cc | 2 +-
tests/Octagonal_Shape/difference1.cc | 2 +-
tests/Octagonal_Shape/discrete1.cc | 2 +-
tests/Octagonal_Shape/disjoint1.cc | 2 +-
tests/Octagonal_Shape/dropsomenonintegerpoints1.cc | 2 +-
tests/Octagonal_Shape/empty1.cc | 2 +-
tests/Octagonal_Shape/expandspacedim1.cc | 2 +-
tests/Octagonal_Shape/foldspacedims1.cc | 2 +-
tests/Octagonal_Shape/frequency1.cc | 2 +-
tests/Octagonal_Shape/frombdshape1.cc | 2 +-
tests/Octagonal_Shape/frombox1.cc | 2 +-
tests/Octagonal_Shape/fromgensys1.cc | 2 +-
tests/Octagonal_Shape/fromgrid1.cc | 2 +-
tests/Octagonal_Shape/fromoctagonalshape1.cc | 2 +-
tests/Octagonal_Shape/frompolyhedron1.cc | 2 +-
tests/Octagonal_Shape/fromspacedim1.cc | 2 +-
tests/Octagonal_Shape/generalizedaffineimage1.cc | 2 +-
tests/Octagonal_Shape/generalizedaffineimage2.cc | 2 +-
tests/Octagonal_Shape/generalizedaffineimage3.cc | 2 +-
tests/Octagonal_Shape/generalizedaffineimage4.cc | 2 +-
tests/Octagonal_Shape/generalizedaffineimage5.cc | 2 +-
.../Octagonal_Shape/generalizedaffinepreimage1.cc | 2 +-
.../Octagonal_Shape/generalizedaffinepreimage2.cc | 2 +-
.../Octagonal_Shape/generalizedaffinepreimage3.cc | 2 +-
.../Octagonal_Shape/generalizedaffinepreimage4.cc | 2 +-
tests/Octagonal_Shape/integerupperboundifexact1.cc | 2 +-
tests/Octagonal_Shape/intersection1.cc | 2 +-
.../Octagonal_Shape/limitedbhmz05extrapolation1.cc | 2 +-
tests/Octagonal_Shape/limitedcc76extrapolation1.cc | 2 +-
tests/Octagonal_Shape/mapspacedims1.cc | 2 +-
tests/Octagonal_Shape/max_min1.cc | 2 +-
tests/Octagonal_Shape/max_min2.cc | 2 +-
tests/Octagonal_Shape/maxspacedim1.cc | 2 +-
tests/Octagonal_Shape/membytes1.cc | 2 +-
tests/Octagonal_Shape/minconstraints1.cc | 2 +-
tests/Octagonal_Shape/relatwithcons1.cc | 2 +-
tests/Octagonal_Shape/relatwithcons2.cc | 2 +-
tests/Octagonal_Shape/relatwithcons3.cc | 2 +-
tests/Octagonal_Shape/relatwithgen1.cc | 2 +-
tests/Octagonal_Shape/removespacedims1.cc | 2 +-
tests/Octagonal_Shape/run_tests | 2 +-
tests/Octagonal_Shape/simplifyusingcontext1.cc | 2 +-
tests/Octagonal_Shape/timeelapse1.cc | 2 +-
tests/Octagonal_Shape/unconstrain1.cc | 2 +-
tests/Octagonal_Shape/universe1.cc | 2 +-
tests/Octagonal_Shape/upperbound1.cc | 2 +-
tests/Octagonal_Shape/upperboundifexact1.cc | 2 +-
tests/Octagonal_Shape/wrap1.cc | 2 +-
tests/Octagonal_Shape/writeoctagon1.cc | 2 +-
tests/PIP_Problem/Makefile.am | 2 +-
tests/PIP_Problem/Makefile.in | 85 +-
tests/PIP_Problem/ascii_dump_load1.cc | 2 +-
tests/PIP_Problem/exceptions1.cc | 2 +-
tests/PIP_Problem/pipproblem1.cc | 2 +-
tests/PIP_Problem/pipproblem2.cc | 2 +-
tests/PIP_Problem/pipproblem3.cc | 2 +-
tests/PIP_Problem/weightwatch1.cc | 2 +-
tests/Partially_Reduced_Product/Makefile.am | 2 +-
tests/Partially_Reduced_Product/Makefile.in | 85 +-
tests/Partially_Reduced_Product/addcongruences1.cc | 2 +-
tests/Partially_Reduced_Product/affineimage1.cc | 2 +-
tests/Partially_Reduced_Product/asciidumpload1.cc | 2 +-
tests/Partially_Reduced_Product/bounded1.cc | 2 +-
.../boundedaffineimage1.cc | 13 +-
tests/Partially_Reduced_Product/bounds1.cc | 8 +-
tests/Partially_Reduced_Product/concatenate1.cc | 2 +-
tests/Partially_Reduced_Product/congruences1.cc | 2 +-
.../congruencesproduct1.cc | 2 +-
tests/Partially_Reduced_Product/constraints1.cc | 2 +-
.../constraintsproduct1.cc | 2 +-
tests/Partially_Reduced_Product/contains1.cc | 2 +-
tests/Partially_Reduced_Product/difference1.cc | 2 +-
tests/Partially_Reduced_Product/dimension1.cc | 2 +-
tests/Partially_Reduced_Product/directproduct1.cc | 2 +-
tests/Partially_Reduced_Product/discrete1.cc | 2 +-
tests/Partially_Reduced_Product/disjoint1.cc | 2 +-
.../dropsomenonintegerpoints1.cc | 2 +-
tests/Partially_Reduced_Product/equals1.cc | 2 +-
tests/Partially_Reduced_Product/frombdshape1.cc | 2 +-
tests/Partially_Reduced_Product/frombox1.cc | 2 +-
tests/Partially_Reduced_Product/fromgrid1.cc | 2 +-
.../fromoctagonalshape1.cc | 2 +-
tests/Partially_Reduced_Product/frompolyhedron1.cc | 2 +-
tests/Partially_Reduced_Product/fromproduct1.cc | 2 +-
.../generalizedaffineimage1.cc | 2 +-
tests/Partially_Reduced_Product/intersection1.cc | 2 +-
tests/Partially_Reduced_Product/isempty1.cc | 2 +-
tests/Partially_Reduced_Product/isuniverse1.cc | 2 +-
tests/Partially_Reduced_Product/maxmin1.cc | 2 +-
.../partially_reduced_product_test.hh | 2 +-
.../refinewithcongruences1.cc | 2 +-
.../refinewithconstraints1.cc | 2 +-
tests/Partially_Reduced_Product/relations1.cc | 54 +-
.../shapepreservingproduct1.cc | 2 +-
tests/Partially_Reduced_Product/smashproduct1.cc | 4 +-
tests/Partially_Reduced_Product/spacedims1.cc | 2 +-
tests/Partially_Reduced_Product/timeelapse1.cc | 2 +-
tests/Partially_Reduced_Product/topclosed1.cc | 2 +-
tests/Partially_Reduced_Product/topclosure1.cc | 2 +-
tests/Partially_Reduced_Product/upperbound1.cc | 4 +-
tests/Polyhedron/Makefile.am | 2 +-
tests/Polyhedron/Makefile.in | 85 +-
tests/Polyhedron/addcongruence1.cc | 2 +-
tests/Polyhedron/addcongruences1.cc | 2 +-
tests/Polyhedron/addconstraint1.cc | 4 +-
tests/Polyhedron/addconstraints1.cc | 6 +-
tests/Polyhedron/addconstraints2.cc | 2 +-
tests/Polyhedron/addgenerator1.cc | 2 +-
tests/Polyhedron/addgenerator2.cc | 8 +-
tests/Polyhedron/addgenerators1.cc | 2 +-
tests/Polyhedron/addgenerators2.cc | 4 +-
tests/Polyhedron/addspacedims1.cc | 10 +-
tests/Polyhedron/addspacedims2.cc | 4 +-
tests/Polyhedron/affineimage1.cc | 6 +-
tests/Polyhedron/affineimage2.cc | 2 +-
tests/Polyhedron/affinepreimage1.cc | 6 +-
tests/Polyhedron/affinetrans.cc | 2 +-
tests/Polyhedron/append1.cc | 6 +-
tests/Polyhedron/append2.cc | 8 +-
tests/Polyhedron/ascii_dump_load1.cc | 2 +-
tests/Polyhedron/ascii_dump_load2.cc | 2 +-
tests/Polyhedron/ascii_dump_load3.cc | 2 +-
tests/Polyhedron/bgp99extrapolation1.cc | 14 +-
tests/Polyhedron/bgp99extrapolation2.cc | 2 +-
tests/Polyhedron/bhrz03widening1.cc | 8 +-
tests/Polyhedron/bhrz03widening2.cc | 2 +-
tests/Polyhedron/bhrz03widening3.cc | 36 +-
tests/Polyhedron/bhz03widening1.cc | 26 +-
tests/Polyhedron/bounded1.cc | 2 +-
tests/Polyhedron/boundedaffineimage1.cc | 26 +-
tests/Polyhedron/boundedaffinepreimage1.cc | 4 +-
tests/Polyhedron/boundedbhrz03extrapolation1.cc | 2 +-
tests/Polyhedron/boundedh79extrapolation1.cc | 6 +-
tests/Polyhedron/bounds1.cc | 2 +-
tests/Polyhedron/cnncconversion1.cc | 2 +-
tests/Polyhedron/concatenate1.cc | 2 +-
tests/Polyhedron/congruences1.cc | 2 +-
tests/Polyhedron/constrains1.cc | 18 +-
tests/Polyhedron/constraints1.cc | 2 +-
tests/Polyhedron/contains1.cc | 2 +-
tests/Polyhedron/contains2.cc | 2 +-
tests/Polyhedron/containsintegerpoint1.cc | 2 +-
tests/Polyhedron/disjoint1.cc | 4 +-
tests/Polyhedron/disjoint2.cc | 8 +-
tests/Polyhedron/dropsomenonintegerpoints1.cc | 2 +-
tests/Polyhedron/dropsomenonintegerpoints2.cc | 37 +-
tests/Polyhedron/dualhypercubes.cc | 64 +-
tests/Polyhedron/empty1.cc | 2 +-
tests/Polyhedron/equals1.cc | 2 +-
tests/Polyhedron/exceptions1.cc | 2 +-
tests/Polyhedron/exceptions2.cc | 2 +-
tests/Polyhedron/exceptions3.cc | 4 +-
tests/Polyhedron/expandspacedim1.cc | 6 +-
tests/Polyhedron/expandspacedim2.cc | 2 +-
tests/Polyhedron/foldspacedims1.cc | 2 +-
tests/Polyhedron/foldspacedims2.cc | 2 +-
tests/Polyhedron/frequency1.cc | 2 +-
tests/Polyhedron/frombdshape1.cc | 2 +-
tests/Polyhedron/frombox1.cc | 2 +-
tests/Polyhedron/frombox2.cc | 2 +-
tests/Polyhedron/fromgrid1.cc | 2 +-
tests/Polyhedron/fromoctagonalshape1.cc | 2 +-
tests/Polyhedron/generalizedaffineimage1.cc | 34 +-
tests/Polyhedron/generalizedaffineimage2.cc | 72 +-
tests/Polyhedron/generalizedaffinepreimage1.cc | 12 +-
tests/Polyhedron/generalizedaffinepreimage2.cc | 4 +-
tests/Polyhedron/generators1.cc | 10 +-
tests/Polyhedron/geomcovers1.cc | 2 +-
tests/Polyhedron/h79widening1.cc | 2 +-
tests/Polyhedron/h79widening2.cc | 2 +-
tests/Polyhedron/hybrid.cc | 10 +-
tests/Polyhedron/intersection1.cc | 26 +-
tests/Polyhedron/limitedbhrz03extrapolation1.cc | 2 +-
tests/Polyhedron/limitedh79extrapolation1.cc | 24 +-
tests/Polyhedron/linearexpression1.cc | 2 +-
tests/Polyhedron/linearpartition1.cc | 26 +-
tests/Polyhedron/linearsystem1.cc | 24 +-
tests/Polyhedron/mapspacedims1.cc | 2 +-
tests/Polyhedron/matrix1.cc | 18 +-
tests/Polyhedron/max_min1.cc | 2 +-
tests/Polyhedron/maxspacedim1.cc | 46 +-
tests/Polyhedron/mc91.cc | 2 +-
tests/Polyhedron/membytes1.cc | 8 +-
tests/Polyhedron/memory1.cc | 24 +-
tests/Polyhedron/memory2.cc | 22 +-
tests/Polyhedron/minconstraints1.cc | 2 +-
tests/Polyhedron/minconstraints2.cc | 4 +-
tests/Polyhedron/mingenerators1.cc | 2 +-
tests/Polyhedron/mingenerators2.cc | 2 +-
tests/Polyhedron/nncminimize1.cc | 16 +-
tests/Polyhedron/nncminimize2.cc | 2 +-
tests/Polyhedron/numberinput1.cc | 38 +-
tests/Polyhedron/onepoint.cc | 2 +-
tests/Polyhedron/permute.cc | 6 +-
tests/Polyhedron/polydifference1.cc | 2 +-
tests/Polyhedron/polydifference2.cc | 2 +-
tests/Polyhedron/polyhull1.cc | 18 +-
tests/Polyhedron/polyhull2.cc | 2 +-
tests/Polyhedron/polyhullifexact1.cc | 42 +-
tests/Polyhedron/polyhullifexact2.cc | 2 +-
tests/Polyhedron/randphull1.cc | 30 +-
tests/Polyhedron/refinewithcongruence1.cc | 4 +-
tests/Polyhedron/refinewithcongruences1.cc | 4 +-
tests/Polyhedron/refinewithconstraint1.cc | 6 +-
tests/Polyhedron/refinewithconstraints1.cc | 4 +-
tests/Polyhedron/relations1.cc | 2 +-
tests/Polyhedron/relations2.cc | 2 +-
tests/Polyhedron/relations3.cc | 6 +-
tests/Polyhedron/removespacedims1.cc | 4 +-
tests/Polyhedron/removespacedims2.cc | 4 +-
tests/Polyhedron/simplifyusingcontext1.cc | 2 +-
tests/Polyhedron/smm1.cc | 92 +-
tests/Polyhedron/sparserow1.cc | 2 +-
tests/Polyhedron/termination1.cc | 2 +-
tests/Polyhedron/termination2.cc | 2 +-
tests/Polyhedron/timeelapse1.cc | 2 +-
tests/Polyhedron/timeelapse2.cc | 2 +-
tests/Polyhedron/topclosed1.cc | 2 +-
tests/Polyhedron/topclosure1.cc | 2 +-
tests/Polyhedron/unconstrain1.cc | 2 +-
tests/Polyhedron/universe1.cc | 2 +-
tests/Polyhedron/universe2.cc | 2 +-
tests/Polyhedron/variablesset1.cc | 16 +-
tests/Polyhedron/watchdog1.cc | 4 +-
tests/Polyhedron/weightwatch1.cc | 2 +-
tests/Polyhedron/wrap1.cc | 2 +-
tests/Polyhedron/wrap2.cc | 2 +-
tests/Polyhedron/writeconsys1.cc | 2 +-
tests/Polyhedron/writegensys1.cc | 2 +-
tests/Polyhedron/writepolyhedron1.cc | 2 +-
tests/Polyhedron/writepolyhedron2.cc | 2 +-
tests/Polyhedron/writerelation1.cc | 2 +-
tests/Polyhedron/writevariable1.cc | 6 +-
tests/Powerset/Makefile.am | 2 +-
tests/Powerset/Makefile.in | 85 +-
tests/Powerset/addcongruences1.cc | 2 +-
tests/Powerset/addconstraints1.cc | 2 +-
tests/Powerset/affinedimension1.cc | 2 +-
tests/Powerset/affineimage1.cc | 2 +-
tests/Powerset/affinepreimage1.cc | 2 +-
tests/Powerset/bounded1.cc | 2 +-
tests/Powerset/bounds1.cc | 2 +-
tests/Powerset/closed1.cc | 2 +-
tests/Powerset/closure1.cc | 2 +-
tests/Powerset/collapse1.cc | 2 +-
tests/Powerset/concatenate1.cc | 2 +-
tests/Powerset/contains1.cc | 2 +-
tests/Powerset/containsintegerpoint1.cc | 2 +-
tests/Powerset/difference1.cc | 6 +-
tests/Powerset/discrete1.cc | 2 +-
tests/Powerset/disjoint1.cc | 2 +-
tests/Powerset/disjunct1.cc | 2 +-
tests/Powerset/empty1.cc | 2 +-
tests/Powerset/entails1.cc | 2 +-
tests/Powerset/equals1.cc | 2 +-
tests/Powerset/frombdshape1.cc | 2 +-
tests/Powerset/frombox1.cc | 2 +-
tests/Powerset/fromcongruences1.cc | 2 +-
tests/Powerset/fromconstraints1.cc | 4 +-
tests/Powerset/fromgrid1.cc | 2 +-
tests/Powerset/fromoctagonalshape1.cc | 2 +-
tests/Powerset/frompolyhedron1.cc | 2 +-
tests/Powerset/fromspacedimension1.cc | 2 +-
tests/Powerset/intersection1.cc | 2 +-
tests/Powerset/maxmin1.cc | 2 +-
tests/Powerset/meet1.cc | 2 +-
tests/Powerset/membytes1.cc | 2 +-
tests/Powerset/powerset1.cc | 4 +-
tests/Powerset/reduce1.cc | 2 +-
tests/Powerset/refinewith1.cc | 2 +-
tests/Powerset/relationwith1.cc | 2 +-
tests/Powerset/simplifyusingcontext1.cc | 2 +-
tests/Powerset/size1.cc | 2 +-
tests/Powerset/spacedims1.cc | 2 +-
tests/Powerset/universe1.cc | 2 +-
tests/Powerset/upperbound1.cc | 2 +-
tests/README | 4 +-
tests/Random_Number_Generator.defs.hh | 47 -
tests/Random_Number_Generator.inlines.hh | 92 -
tests/Random_Number_Generator.types.hh | 22 -
tests/Random_Number_Generator_defs.hh | 47 +
tests/Random_Number_Generator_inlines.hh | 92 +
tests/Random_Number_Generator_types.hh | 22 +
tests/Watchdog/Makefile.am | 2 +-
tests/Watchdog/Makefile.in | 85 +-
tests/Watchdog/watchdog1.cc | 2 +-
tests/files.cc | 2 +-
tests/files.hh | 2 +-
tests/ppl_test.cc | 48 +-
tests/ppl_test.hh | 400 +-
utils/Makefile.am | 2 +-
utils/Makefile.in | 105 +-
utils/build_header.in | 2 +-
utils/cm_cleaner.sh | 2 +-
utils/cm_splitter.sh | 2 +-
utils/text2cxxarray.in | 2 +-
utils/timings.cc | 20 +-
utils/timings.hh | 2 +-
1720 files changed, 321665 insertions(+), 332889 deletions(-)
diff --git a/ChangeLog b/ChangeLog
index 8bc799b..78886ab 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,9 +1,5 @@
2012-06-28 Roberto Bagnara <bagnara at cs.unipr.it>
- * PPL 1.0 released.
-
-2012-06-28 Roberto Bagnara <bagnara at cs.unipr.it>
-
* doc/definitions.dox: Work around a Doxygen bug. Stick to ASCII.
2012-06-28 Roberto Bagnara <bagnara at cs.unipr.it>
diff --git a/Makefile.am b/Makefile.am
index 1b80b3d..b56c5a7 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -36,10 +36,10 @@ dist_noinst_HEADERS = \
instchk.hh
ppl-config.h: config.h $(srcdir)/ppl-config.sed
- $(SED) -f $(srcdir)/ppl-config.sed $< >$@
+ $(SED) -f $(srcdir)/ppl-config.sed config.h >$@
ppl-config.h.in: config.h.in $(srcdir)/ppl-config.sed
- $(SED) -f $(srcdir)/ppl-config.sed $< >$@
+ $(SED) -f $(srcdir)/ppl-config.sed config.h.in >$@
DISTCHECK_CONFIGURE_FLAGS = \
--enable-shared
diff --git a/Makefile.in b/Makefile.in
index 4209ca6..54e1492 100644
--- a/Makefile.in
+++ b/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -100,12 +116,18 @@ CONFIG_HEADER = config.h
CONFIG_CLEAN_FILES = ppl.lsm
CONFIG_CLEAN_VPATH_FILES =
SCRIPTS = $(dist_noinst_SCRIPTS)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -115,14 +137,20 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
HEADERS = $(dist_noinst_HEADERS) $(nodist_noinst_HEADERS)
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
AM_RECURSIVE_TARGETS = $(RECURSIVE_TARGETS:-recursive=) \
$(RECURSIVE_CLEAN_TARGETS:-recursive=) tags TAGS ctags CTAGS \
- distdir dist dist-all distcheck
+ cscope distdir dist dist-all distcheck
ETAGS = etags
CTAGS = ctags
+CSCOPE = cscope
DIST_SUBDIRS = $(SUBDIRS)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
distdir = $(PACKAGE)-$(VERSION)
@@ -133,6 +161,7 @@ am__remove_distdir = \
&& rm -rf "$(distdir)" \
|| { sleep 5 && rm -rf "$(distdir)"; }; \
else :; fi
+am__post_remove_distdir = $(am__remove_distdir)
am__relativize = \
dir0=`pwd`; \
sed_first='s,^\([^/]*\)/.*$$,\1,'; \
@@ -161,6 +190,7 @@ am__relativize = \
DIST_ARCHIVES = $(distdir).tar.gz $(distdir).tar.bz2 $(distdir).tar.xz \
$(distdir).zip
GZIP_ENV = --best
+DIST_TARGETS = dist-xz dist-bzip2 dist-gzip dist-zip
distuninstallcheck_listfiles = find . -type f -print
am__distuninstallcheck_listfiles = $(distuninstallcheck_listfiles) \
| sed 's|^\./|$(prefix)/|' | grep -v '$(infodir)/dir$$'
@@ -462,12 +492,12 @@ distclean-libtool:
-rm -f libtool config.lt
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -477,7 +507,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -491,37 +525,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -530,6 +533,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -593,8 +600,32 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscope: cscope.files
+ test ! -s cscope.files \
+ || $(CSCOPE) -b -q $(AM_CSCOPEFLAGS) $(CSCOPEFLAGS) -i cscope.files $(CSCOPE_ARGS)
+
+clean-cscope:
+ -rm -f cscope.files
+
+cscope.files: clean-cscope cscopelist-recursive cscopelist
+
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
+ -rm -f cscope.out cscope.in.out cscope.po.out cscope.files
distdir: $(DISTFILES)
$(am__remove_distdir)
@@ -630,13 +661,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -668,41 +696,33 @@ distdir: $(DISTFILES)
|| chmod -R a+r "$(distdir)"
dist-gzip: distdir
tardir=$(distdir) && $(am__tar) | GZIP=$(GZIP_ENV) gzip -c >$(distdir).tar.gz
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
dist-bzip2: distdir
tardir=$(distdir) && $(am__tar) | BZIP2=$${BZIP2--9} bzip2 -c >$(distdir).tar.bz2
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
dist-lzip: distdir
tardir=$(distdir) && $(am__tar) | lzip -c $${LZIP_OPT--9} >$(distdir).tar.lz
- $(am__remove_distdir)
-
-dist-lzma: distdir
- tardir=$(distdir) && $(am__tar) | lzma -9 -c >$(distdir).tar.lzma
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
dist-xz: distdir
tardir=$(distdir) && $(am__tar) | XZ_OPT=$${XZ_OPT--e} xz -c >$(distdir).tar.xz
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
dist-tarZ: distdir
tardir=$(distdir) && $(am__tar) | compress -c >$(distdir).tar.Z
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
dist-shar: distdir
shar $(distdir) | GZIP=$(GZIP_ENV) gzip -c >$(distdir).shar.gz
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
dist-zip: distdir
-rm -f $(distdir).zip
zip -rq $(distdir).zip $(distdir)
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
-dist dist-all: distdir
- tardir=$(distdir) && $(am__tar) | GZIP=$(GZIP_ENV) gzip -c >$(distdir).tar.gz
- tardir=$(distdir) && $(am__tar) | BZIP2=$${BZIP2--9} bzip2 -c >$(distdir).tar.bz2
- tardir=$(distdir) && $(am__tar) | XZ_OPT=$${XZ_OPT--e} xz -c >$(distdir).tar.xz
- -rm -f $(distdir).zip
- zip -rq $(distdir).zip $(distdir)
- $(am__remove_distdir)
+dist dist-all:
+ $(MAKE) $(AM_MAKEFLAGS) $(DIST_TARGETS) am__post_remove_distdir='@:'
+ $(am__post_remove_distdir)
# This target untars the dist file and tries a VPATH configuration. Then
# it guarantees that the distribution is self-contained by making another
@@ -713,8 +733,6 @@ distcheck: dist
GZIP=$(GZIP_ENV) gzip -dc $(distdir).tar.gz | $(am__untar) ;;\
*.tar.bz2*) \
bzip2 -dc $(distdir).tar.bz2 | $(am__untar) ;;\
- *.tar.lzma*) \
- lzma -dc $(distdir).tar.lzma | $(am__untar) ;;\
*.tar.lz*) \
lzip -dc $(distdir).tar.lz | $(am__untar) ;;\
*.tar.xz*) \
@@ -726,9 +744,9 @@ distcheck: dist
*.zip*) \
unzip $(distdir).zip ;;\
esac
- chmod -R a-w $(distdir); chmod a+w $(distdir)
- mkdir $(distdir)/_build
- mkdir $(distdir)/_inst
+ chmod -R a-w $(distdir)
+ chmod u+w $(distdir)
+ mkdir $(distdir)/_build $(distdir)/_inst
chmod a-w $(distdir)
test -d $(distdir)/_build || exit 0; \
dc_install_base=`$(am__cd) $(distdir)/_inst && pwd | sed -e 's,^[^:\\/]:[\\/],/,'` \
@@ -760,7 +778,7 @@ distcheck: dist
&& $(MAKE) $(AM_MAKEFLAGS) distcleancheck \
&& cd "$$am__cwd" \
|| exit 1
- $(am__remove_distdir)
+ $(am__post_remove_distdir)
@(echo "$(distdir) archives ready for distribution: "; \
list='$(DIST_ARCHIVES)'; for i in $$list; do echo $$i; done) | \
sed -e 1h -e 1s/./=/g -e 1p -e 1x -e '$$p' -e '$$x'
@@ -897,12 +915,14 @@ ps-am:
uninstall-am:
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) all \
- ctags-recursive install-am install-strip tags-recursive
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
- all all-am am--refresh check check-am clean clean-generic \
- clean-libtool ctags ctags-recursive dist dist-all dist-bzip2 \
- dist-gzip dist-hook dist-lzip dist-lzma dist-shar dist-tarZ \
+ all all-am am--refresh check check-am clean clean-cscope \
+ clean-generic clean-libtool cscope cscopelist \
+ cscopelist-recursive ctags ctags-recursive dist dist-all \
+ dist-bzip2 dist-gzip dist-hook dist-lzip dist-shar dist-tarZ \
dist-xz dist-zip distcheck distclean distclean-generic \
distclean-hdr distclean-libtool distclean-tags distcleancheck \
distdir distuninstallcheck dvi dvi-am html html-am info \
@@ -918,10 +938,10 @@ uninstall-am:
ppl-config.h: config.h $(srcdir)/ppl-config.sed
- $(SED) -f $(srcdir)/ppl-config.sed $< >$@
+ $(SED) -f $(srcdir)/ppl-config.sed config.h >$@
ppl-config.h.in: config.h.in $(srcdir)/ppl-config.sed
- $(SED) -f $(srcdir)/ppl-config.sed $< >$@
+ $(SED) -f $(srcdir)/ppl-config.sed config.h.in >$@
# Kludge: we need to force building `ppl-config.h' on `make dist',
# hence we list it in `EXTRA_DIST'; but we do not want to distribute
diff --git a/NEWS b/NEWS
index fac7d33..5eda9f7 100644
--- a/NEWS
+++ b/NEWS
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
Verbatim copying and distribution of this entire article is permitted
in any medium, provided this notice is preserved.
@@ -9,6 +9,47 @@ Parma Polyhedra Library NEWS -- history of user-visible changes
===============================================================
--------------------------------------------------------------------------
+NEWS for version 1.1 (released date to be decided)
+--------------------------------------------------------------------------
+
+New and Changed Features
+========================
+
+o In the Java language interface:
+
+ - The constraint/generator/... system classes now extend the ArrayList
+ generic container (rather than Vector);
+
+ - Variable objects are now built from a long (rather than int) value,
+ thereby matching the type used elsewhere for space dimensions;
+
+ - added new static method to Variable class
+ void setStringifier(Variable_Stringifier)
+ where Variable_Stringifier is an interface allowing for
+ customization of the output routine for variable's names
+ (see example in interfaces/Java/tests/Variable_Output_test1.java);
+
+ - added value NOT_EQUAL to enumeration Relation_Symbol.
+
+
+Bugfixes
+========
+
+o Portability improved.
+
+o Fixed a precision regression in Polyhedron method
+ void drop_some_non_integer_points(const Variables_Set&,
+ Complexity_Class);
+
+o In the Java interface, fixed declaration of methods
+ void drop_some_non_integer_points(...);
+ so as to accept a Complexity_Class enum value.
+
+o Fixed an issue in method MIP_Problem::OK() whereby the method
+ was trying to enforce a non-invariant condition.
+
+
+--------------------------------------------------------------------------
NEWS for version 1.0 (released on June 28, 2012)
--------------------------------------------------------------------------
diff --git a/README b/README
index 57ce785..afc4f17 100644
--- a/README
+++ b/README
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -376,8 +376,8 @@ ppl-1.0
| | |-- ppl_c.h.dist
| | |-- ppl_c_header.h
| | |-- ppl_c_implementation_common.cc
-| | |-- ppl_c_implementation_common.defs.hh
-| | |-- ppl_c_implementation_common.inlines.hh
+| | |-- ppl_c_implementation_common_defs.hh
+| | |-- ppl_c_implementation_common_inlines.hh
| | |-- ppl_c_version.h.in
| | |-- ppl_interface_generator_c_cc_code.m4
| | |-- ppl_interface_generator_c_cc_files.m4
@@ -406,8 +406,8 @@ ppl-1.0
| | | |-- ppl_interface_generator_java_classes_cc_code.m4
| | | |-- ppl_interface_generator_java_classes_cc_files.m4
| | | |-- ppl_java_common.cc
-| | | |-- ppl_java_common.defs.hh
-| | | |-- ppl_java_common.inlines.hh
+| | | |-- ppl_java_common_defs.hh
+| | | |-- ppl_java_common_inlines.hh
| | | `-- ppl_java_globals.cc
| | |-- parma_polyhedra_library
| | | |-- Artificial_Parameter.java
@@ -501,8 +501,8 @@ ppl-1.0
| | |-- ppl_interface_generator_ocaml_mli_code.m4
| | |-- ppl_interface_generator_ocaml_procedure_generators.m4
| | |-- ppl_ocaml_common.cc
-| | |-- ppl_ocaml_common.defs.hh
-| | |-- ppl_ocaml_common.inlines.hh
+| | |-- ppl_ocaml_common_defs.hh
+| | |-- ppl_ocaml_common_inlines.hh
| | |-- ppl_ocaml_globals.ml
| | |-- ppl_ocaml_globals.mli
| | `-- tests
@@ -612,8 +612,8 @@ ppl-1.0
| | |-- ppl_interface_generator_prolog_procedure_generators.m4
| | |-- ppl_interface_generator_prolog_systems.m4
| | |-- ppl_prolog_common.cc
-| | |-- ppl_prolog_common.defs.hh
-| | |-- ppl_prolog_common.inlines.hh
+| | |-- ppl_prolog_common_defs.hh
+| | |-- ppl_prolog_common_inlines.hh
| | `-- tests
| | |-- Makefile.am
| | |-- Makefile.in
@@ -713,162 +713,162 @@ ppl-1.0
|-- ppl.lsm.in
|-- src
| |-- BDS_Status.idefs.hh
-| |-- BDS_Status.inlines.hh
+| |-- BDS_Status_inlines.hh
| |-- BD_Shape.cc
-| |-- BD_Shape.defs.hh
-| |-- BD_Shape.inlines.hh
-| |-- BD_Shape.templates.hh
-| |-- BD_Shape.types.hh
+| |-- BD_Shape_defs.hh
+| |-- BD_Shape_inlines.hh
+| |-- BD_Shape_templates.hh
+| |-- BD_Shape_types.hh
| |-- BHRZ03_Certificate.cc
-| |-- BHRZ03_Certificate.defs.hh
-| |-- BHRZ03_Certificate.inlines.hh
-| |-- BHRZ03_Certificate.types.hh
+| |-- BHRZ03_Certificate_defs.hh
+| |-- BHRZ03_Certificate_inlines.hh
+| |-- BHRZ03_Certificate_types.hh
| |-- BUGS.cc.dist
| |-- BUGS.hh.dist
| |-- Bit_Matrix.cc
-| |-- Bit_Matrix.defs.hh
-| |-- Bit_Matrix.inlines.hh
-| |-- Bit_Matrix.types.hh
+| |-- Bit_Matrix_defs.hh
+| |-- Bit_Matrix_inlines.hh
+| |-- Bit_Matrix_types.hh
| |-- Bit_Row.cc
-| |-- Bit_Row.defs.hh
-| |-- Bit_Row.inlines.hh
-| |-- Bit_Row.types.hh
-| |-- Boundary.defs.hh
+| |-- Bit_Row_defs.hh
+| |-- Bit_Row_inlines.hh
+| |-- Bit_Row_types.hh
+| |-- Boundary_defs.hh
| |-- Box.cc
-| |-- Box.defs.hh
-| |-- Box.inlines.hh
-| |-- Box.templates.hh
-| |-- Box.types.hh
+| |-- Box_defs.hh
+| |-- Box_inlines.hh
+| |-- Box_templates.hh
+| |-- Box_types.hh
| |-- Box_Status.idefs.hh
-| |-- Box_Status.inlines.hh
+| |-- Box_Status_inlines.hh
| |-- COPYING.cc.dist
| |-- COPYING.hh.dist
| |-- CO_Tree.cc
-| |-- CO_Tree.defs.hh
-| |-- CO_Tree.inlines.hh
-| |-- CO_Tree.templates.hh
-| |-- CO_Tree.types.hh
+| |-- CO_Tree_defs.hh
+| |-- CO_Tree_inlines.hh
+| |-- CO_Tree_templates.hh
+| |-- CO_Tree_types.hh
| |-- CREDITS.cc.dist
| |-- CREDITS.hh.dist
| |-- C_Integer.hh
| |-- C_Polyhedron.cc
-| |-- C_Polyhedron.defs.hh
-| |-- C_Polyhedron.inlines.hh
-| |-- C_Polyhedron.types.hh
-| |-- Cast_Floating_Point_Expression.defs.hh
-| |-- Cast_Floating_Point_Expression.inlines.hh
-| |-- Cast_Floating_Point_Expression.templates.hh
-| |-- Cast_Floating_Point_Expression.types.hh
+| |-- C_Polyhedron_defs.hh
+| |-- C_Polyhedron_inlines.hh
+| |-- C_Polyhedron_types.hh
+| |-- Cast_Floating_Point_Expression_defs.hh
+| |-- Cast_Floating_Point_Expression_inlines.hh
+| |-- Cast_Floating_Point_Expression_templates.hh
+| |-- Cast_Floating_Point_Expression_types.hh
| |-- Checked_Number.cc
-| |-- Checked_Number.defs.hh
-| |-- Checked_Number.inlines.hh
-| |-- Checked_Number.templates.hh
-| |-- Checked_Number.types.hh
+| |-- Checked_Number_defs.hh
+| |-- Checked_Number_inlines.hh
+| |-- Checked_Number_templates.hh
+| |-- Checked_Number_types.hh
| |-- Coefficient.cc
-| |-- Coefficient.defs.hh
-| |-- Coefficient.inlines.hh
-| |-- Coefficient.types.hh
+| |-- Coefficient_defs.hh
+| |-- Coefficient_inlines.hh
+| |-- Coefficient_types.hh
| |-- Coefficient_traits_template.hh
| |-- Concrete_Expression.cc
-| |-- Concrete_Expression.defs.hh
-| |-- Concrete_Expression.inlines.hh
-| |-- Concrete_Expression.types.hh
+| |-- Concrete_Expression_defs.hh
+| |-- Concrete_Expression_inlines.hh
+| |-- Concrete_Expression_types.hh
| |-- Congruence.cc
-| |-- Congruence.defs.hh
-| |-- Congruence.inlines.hh
-| |-- Congruence.types.hh
+| |-- Congruence_defs.hh
+| |-- Congruence_inlines.hh
+| |-- Congruence_types.hh
| |-- Congruence_System.cc
-| |-- Congruence_System.defs.hh
-| |-- Congruence_System.inlines.hh
-| |-- Congruence_System.types.hh
-| |-- Constant_Floating_Point_Expression.defs.hh
-| |-- Constant_Floating_Point_Expression.inlines.hh
-| |-- Constant_Floating_Point_Expression.types.hh
+| |-- Congruence_System_defs.hh
+| |-- Congruence_System_inlines.hh
+| |-- Congruence_System_types.hh
+| |-- Constant_Floating_Point_Expression_defs.hh
+| |-- Constant_Floating_Point_Expression_inlines.hh
+| |-- Constant_Floating_Point_Expression_types.hh
| |-- Constraint.cc
-| |-- Constraint.defs.hh
-| |-- Constraint.inlines.hh
-| |-- Constraint.types.hh
+| |-- Constraint_defs.hh
+| |-- Constraint_inlines.hh
+| |-- Constraint_types.hh
| |-- Constraint_System.cc
-| |-- Constraint_System.defs.hh
-| |-- Constraint_System.inlines.hh
-| |-- Constraint_System.types.hh
-| |-- DB_Matrix.defs.hh
-| |-- DB_Matrix.inlines.hh
-| |-- DB_Matrix.templates.hh
-| |-- DB_Matrix.types.hh
-| |-- DB_Row.defs.hh
-| |-- DB_Row.inlines.hh
-| |-- DB_Row.templates.hh
-| |-- DB_Row.types.hh
+| |-- Constraint_System_defs.hh
+| |-- Constraint_System_inlines.hh
+| |-- Constraint_System_types.hh
+| |-- DB_Matrix_defs.hh
+| |-- DB_Matrix_inlines.hh
+| |-- DB_Matrix_templates.hh
+| |-- DB_Matrix_types.hh
+| |-- DB_Row_defs.hh
+| |-- DB_Row_inlines.hh
+| |-- DB_Row_templates.hh
+| |-- DB_Row_types.hh
| |-- Dense_Row.cc
-| |-- Dense_Row.defs.hh
-| |-- Dense_Row.inlines.hh
-| |-- Dense_Row.templates.hh
-| |-- Dense_Row.types.hh
-| |-- Determinate.defs.hh
-| |-- Determinate.inlines.hh
-| |-- Determinate.types.hh
-| |-- Difference_Floating_Point_Expression.defs.hh
-| |-- Difference_Floating_Point_Expression.inlines.hh
-| |-- Difference_Floating_Point_Expression.templates.hh
-| |-- Difference_Floating_Point_Expression.types.hh
-| |-- Division_Floating_Point_Expression.defs.hh
-| |-- Division_Floating_Point_Expression.inlines.hh
-| |-- Division_Floating_Point_Expression.templates.hh
-| |-- Division_Floating_Point_Expression.types.hh
-| |-- Doubly_Linked_Object.defs.hh
-| |-- Doubly_Linked_Object.inlines.hh
-| |-- Doubly_Linked_Object.types.hh
-| |-- EList.defs.hh
-| |-- EList.inlines.hh
-| |-- EList.types.hh
-| |-- EList_Iterator.defs.hh
-| |-- EList_Iterator.inlines.hh
-| |-- EList_Iterator.types.hh
-| |-- Expression_Hide_Inhomo.defs.hh
-| |-- Expression_Hide_Inhomo.inlines.hh
-| |-- Expression_Hide_Inhomo.types.hh
-| |-- Expression_Hide_Last.defs.hh
-| |-- Expression_Hide_Last.inlines.hh
-| |-- Expression_Hide_Last.types.hh
+| |-- Dense_Row_defs.hh
+| |-- Dense_Row_inlines.hh
+| |-- Dense_Row_templates.hh
+| |-- Dense_Row_types.hh
+| |-- Determinate_defs.hh
+| |-- Determinate_inlines.hh
+| |-- Determinate_types.hh
+| |-- Difference_Floating_Point_Expression_defs.hh
+| |-- Difference_Floating_Point_Expression_inlines.hh
+| |-- Difference_Floating_Point_Expression_templates.hh
+| |-- Difference_Floating_Point_Expression_types.hh
+| |-- Division_Floating_Point_Expression_defs.hh
+| |-- Division_Floating_Point_Expression_inlines.hh
+| |-- Division_Floating_Point_Expression_templates.hh
+| |-- Division_Floating_Point_Expression_types.hh
+| |-- Doubly_Linked_Object_defs.hh
+| |-- Doubly_Linked_Object_inlines.hh
+| |-- Doubly_Linked_Object_types.hh
+| |-- EList_defs.hh
+| |-- EList_inlines.hh
+| |-- EList_types.hh
+| |-- EList_Iterator_defs.hh
+| |-- EList_Iterator_inlines.hh
+| |-- EList_Iterator_types.hh
+| |-- Expression_Hide_Inhomo_defs.hh
+| |-- Expression_Hide_Inhomo_inlines.hh
+| |-- Expression_Hide_Inhomo_types.hh
+| |-- Expression_Hide_Last_defs.hh
+| |-- Expression_Hide_Last_inlines.hh
+| |-- Expression_Hide_Last_types.hh
| |-- Float.cc
-| |-- Float.defs.hh
-| |-- Float.inlines.hh
-| |-- Float.templates.hh
-| |-- Floating_Point_Expression.defs.hh
-| |-- Floating_Point_Expression.inlines.hh
-| |-- Floating_Point_Expression.templates.hh
-| |-- Floating_Point_Expression.types.hh
-| |-- GMP_Integer.defs.hh
-| |-- GMP_Integer.inlines.hh
-| |-- GMP_Integer.types.hh
+| |-- Float_defs.hh
+| |-- Float_inlines.hh
+| |-- Float_templates.hh
+| |-- Floating_Point_Expression_defs.hh
+| |-- Floating_Point_Expression_inlines.hh
+| |-- Floating_Point_Expression_templates.hh
+| |-- Floating_Point_Expression_types.hh
+| |-- GMP_Integer_defs.hh
+| |-- GMP_Integer_inlines.hh
+| |-- GMP_Integer_types.hh
| |-- Generator.cc
-| |-- Generator.defs.hh
-| |-- Generator.inlines.hh
-| |-- Generator.types.hh
+| |-- Generator_defs.hh
+| |-- Generator_inlines.hh
+| |-- Generator_types.hh
| |-- Generator_System.cc
-| |-- Generator_System.defs.hh
-| |-- Generator_System.inlines.hh
-| |-- Generator_System.types.hh
-| |-- Grid.defs.hh
-| |-- Grid.inlines.hh
-| |-- Grid.templates.hh
-| |-- Grid.types.hh
+| |-- Generator_System_defs.hh
+| |-- Generator_System_inlines.hh
+| |-- Generator_System_types.hh
+| |-- Grid_defs.hh
+| |-- Grid_inlines.hh
+| |-- Grid_templates.hh
+| |-- Grid_types.hh
| |-- Grid_Certificate.cc
-| |-- Grid_Certificate.defs.hh
-| |-- Grid_Certificate.inlines.hh
-| |-- Grid_Certificate.types.hh
+| |-- Grid_Certificate_defs.hh
+| |-- Grid_Certificate_inlines.hh
+| |-- Grid_Certificate_types.hh
| |-- Grid_Generator.cc
-| |-- Grid_Generator.defs.hh
-| |-- Grid_Generator.inlines.hh
-| |-- Grid_Generator.types.hh
+| |-- Grid_Generator_defs.hh
+| |-- Grid_Generator_inlines.hh
+| |-- Grid_Generator_types.hh
| |-- Grid_Generator_System.cc
-| |-- Grid_Generator_System.defs.hh
-| |-- Grid_Generator_System.inlines.hh
-| |-- Grid_Generator_System.types.hh
+| |-- Grid_Generator_System_defs.hh
+| |-- Grid_Generator_System_inlines.hh
+| |-- Grid_Generator_System_types.hh
| |-- Grid_Status.cc
| |-- Grid_Status.idefs.hh
-| |-- Grid_Status.inlines.hh
+| |-- Grid_Status_inlines.hh
| |-- Grid_chdims.cc
| |-- Grid_conversion.cc
| |-- Grid_nonpublic.cc
@@ -876,255 +876,255 @@ ppl-1.0
| |-- Grid_simplify.cc
| |-- Grid_widenings.cc
| |-- H79_Certificate.cc
-| |-- H79_Certificate.defs.hh
-| |-- H79_Certificate.inlines.hh
-| |-- H79_Certificate.types.hh
-| |-- Handler.defs.hh
-| |-- Handler.inlines.hh
-| |-- Handler.types.hh
+| |-- H79_Certificate_defs.hh
+| |-- H79_Certificate_inlines.hh
+| |-- H79_Certificate_types.hh
+| |-- Handler_defs.hh
+| |-- Handler_inlines.hh
+| |-- Handler_types.hh
| |-- Has_Assign_Or_Swap.hh
| |-- Init.cc
-| |-- Init.defs.hh
-| |-- Init.inlines.hh
-| |-- Init.types.hh
+| |-- Init_defs.hh
+| |-- Init_inlines.hh
+| |-- Init_types.hh
| |-- Integer_Interval.hh
-| |-- Interval.defs.hh
-| |-- Interval.inlines.hh
-| |-- Interval.templates.hh
-| |-- Interval.types.hh
-| |-- Interval_Info.defs.hh
-| |-- Interval_Info.inlines.hh
-| |-- Interval_Info.types.hh
+| |-- Interval_defs.hh
+| |-- Interval_inlines.hh
+| |-- Interval_templates.hh
+| |-- Interval_types.hh
+| |-- Interval_Info_defs.hh
+| |-- Interval_Info_inlines.hh
+| |-- Interval_Info_types.hh
| |-- Linear_Expression.cc
-| |-- Linear_Expression.defs.hh
-| |-- Linear_Expression.inlines.hh
-| |-- Linear_Expression.types.hh
+| |-- Linear_Expression_defs.hh
+| |-- Linear_Expression_inlines.hh
+| |-- Linear_Expression_types.hh
| |-- Linear_Expression_Impl.cc
-| |-- Linear_Expression_Impl.defs.hh
-| |-- Linear_Expression_Impl.inlines.hh
-| |-- Linear_Expression_Impl.templates.hh
-| |-- Linear_Expression_Impl.types.hh
+| |-- Linear_Expression_Impl_defs.hh
+| |-- Linear_Expression_Impl_inlines.hh
+| |-- Linear_Expression_Impl_templates.hh
+| |-- Linear_Expression_Impl_types.hh
| |-- Linear_Expression_Interface.cc
-| |-- Linear_Expression_Interface.defs.hh
-| |-- Linear_Expression_Interface.types.hh
+| |-- Linear_Expression_Interface_defs.hh
+| |-- Linear_Expression_Interface_types.hh
| |-- Linear_Form.cc
-| |-- Linear_Form.defs.hh
-| |-- Linear_Form.inlines.hh
-| |-- Linear_Form.templates.hh
-| |-- Linear_Form.types.hh
-| |-- Linear_System.defs.hh
-| |-- Linear_System.inlines.hh
-| |-- Linear_System.templates.hh
-| |-- Linear_System.types.hh
+| |-- Linear_Form_defs.hh
+| |-- Linear_Form_inlines.hh
+| |-- Linear_Form_templates.hh
+| |-- Linear_Form_types.hh
+| |-- Linear_System_defs.hh
+| |-- Linear_System_inlines.hh
+| |-- Linear_System_templates.hh
+| |-- Linear_System_types.hh
| |-- MIP_Problem.cc
-| |-- MIP_Problem.defs.hh
-| |-- MIP_Problem.inlines.hh
-| |-- MIP_Problem.templates.hh
-| |-- MIP_Problem.types.hh
+| |-- MIP_Problem_defs.hh
+| |-- MIP_Problem_inlines.hh
+| |-- MIP_Problem_templates.hh
+| |-- MIP_Problem_types.hh
| |-- Makefile.am
| |-- Makefile.in
-| |-- Matrix.defs.hh
-| |-- Matrix.inlines.hh
-| |-- Matrix.templates.hh
-| |-- Matrix.types.hh
-| |-- Multiplication_Floating_Point_Expression.defs.hh
-| |-- Multiplication_Floating_Point_Expression.inlines.hh
-| |-- Multiplication_Floating_Point_Expression.templates.hh
-| |-- Multiplication_Floating_Point_Expression.types.hh
+| |-- Matrix_defs.hh
+| |-- Matrix_inlines.hh
+| |-- Matrix_templates.hh
+| |-- Matrix_types.hh
+| |-- Multiplication_Floating_Point_Expression_defs.hh
+| |-- Multiplication_Floating_Point_Expression_inlines.hh
+| |-- Multiplication_Floating_Point_Expression_templates.hh
+| |-- Multiplication_Floating_Point_Expression_types.hh
| |-- NNC_Polyhedron.cc
-| |-- NNC_Polyhedron.defs.hh
-| |-- NNC_Polyhedron.inlines.hh
-| |-- NNC_Polyhedron.types.hh
-| |-- Numeric_Format.defs.hh
-| |-- OR_Matrix.defs.hh
-| |-- OR_Matrix.inlines.hh
-| |-- OR_Matrix.templates.hh
-| |-- OR_Matrix.types.hh
+| |-- NNC_Polyhedron_defs.hh
+| |-- NNC_Polyhedron_inlines.hh
+| |-- NNC_Polyhedron_types.hh
+| |-- Numeric_Format_defs.hh
+| |-- OR_Matrix_defs.hh
+| |-- OR_Matrix_inlines.hh
+| |-- OR_Matrix_templates.hh
+| |-- OR_Matrix_types.hh
| |-- Octagonal_Shape.cc
-| |-- Octagonal_Shape.defs.hh
-| |-- Octagonal_Shape.inlines.hh
-| |-- Octagonal_Shape.templates.hh
-| |-- Octagonal_Shape.types.hh
+| |-- Octagonal_Shape_defs.hh
+| |-- Octagonal_Shape_inlines.hh
+| |-- Octagonal_Shape_templates.hh
+| |-- Octagonal_Shape_types.hh
| |-- Og_Status.idefs.hh
-| |-- Og_Status.inlines.hh
-| |-- Opposite_Floating_Point_Expression.defs.hh
-| |-- Opposite_Floating_Point_Expression.inlines.hh
-| |-- Opposite_Floating_Point_Expression.types.hh
+| |-- Og_Status_inlines.hh
+| |-- Opposite_Floating_Point_Expression_defs.hh
+| |-- Opposite_Floating_Point_Expression_inlines.hh
+| |-- Opposite_Floating_Point_Expression_types.hh
| |-- PIP_Problem.cc
-| |-- PIP_Problem.defs.hh
-| |-- PIP_Problem.inlines.hh
-| |-- PIP_Problem.templates.hh
-| |-- PIP_Problem.types.hh
+| |-- PIP_Problem_defs.hh
+| |-- PIP_Problem_inlines.hh
+| |-- PIP_Problem_templates.hh
+| |-- PIP_Problem_types.hh
| |-- PIP_Tree.cc
-| |-- PIP_Tree.defs.hh
-| |-- PIP_Tree.inlines.hh
-| |-- PIP_Tree.types.hh
+| |-- PIP_Tree_defs.hh
+| |-- PIP_Tree_inlines.hh
+| |-- PIP_Tree_types.hh
| |-- Partial_Function.cc
-| |-- Partial_Function.defs.hh
-| |-- Partial_Function.inlines.hh
-| |-- Partial_Function.types.hh
-| |-- Partially_Reduced_Product.defs.hh
-| |-- Partially_Reduced_Product.inlines.hh
-| |-- Partially_Reduced_Product.templates.hh
-| |-- Partially_Reduced_Product.types.hh
-| |-- Pending_Element.defs.hh
-| |-- Pending_Element.inlines.hh
-| |-- Pending_Element.types.hh
-| |-- Pending_List.defs.hh
-| |-- Pending_List.inlines.hh
-| |-- Pending_List.templates.hh
-| |-- Pending_List.types.hh
+| |-- Partial_Function_defs.hh
+| |-- Partial_Function_inlines.hh
+| |-- Partial_Function_types.hh
+| |-- Partially_Reduced_Product_defs.hh
+| |-- Partially_Reduced_Product_inlines.hh
+| |-- Partially_Reduced_Product_templates.hh
+| |-- Partially_Reduced_Product_types.hh
+| |-- Pending_Element_defs.hh
+| |-- Pending_Element_inlines.hh
+| |-- Pending_Element_types.hh
+| |-- Pending_List_defs.hh
+| |-- Pending_List_inlines.hh
+| |-- Pending_List_templates.hh
+| |-- Pending_List_types.hh
| |-- Ph_Status.cc
| |-- Ph_Status.idefs.hh
-| |-- Ph_Status.inlines.hh
+| |-- Ph_Status_inlines.hh
| |-- Pointset_Powerset.cc
-| |-- Pointset_Powerset.defs.hh
-| |-- Pointset_Powerset.inlines.hh
-| |-- Pointset_Powerset.templates.hh
-| |-- Pointset_Powerset.types.hh
+| |-- Pointset_Powerset_defs.hh
+| |-- Pointset_Powerset_inlines.hh
+| |-- Pointset_Powerset_templates.hh
+| |-- Pointset_Powerset_types.hh
| |-- Poly_Con_Relation.cc
-| |-- Poly_Con_Relation.defs.hh
-| |-- Poly_Con_Relation.inlines.hh
-| |-- Poly_Con_Relation.types.hh
+| |-- Poly_Con_Relation_defs.hh
+| |-- Poly_Con_Relation_inlines.hh
+| |-- Poly_Con_Relation_types.hh
| |-- Poly_Gen_Relation.cc
-| |-- Poly_Gen_Relation.defs.hh
-| |-- Poly_Gen_Relation.inlines.hh
-| |-- Poly_Gen_Relation.types.hh
-| |-- Polyhedron.defs.hh
-| |-- Polyhedron.inlines.hh
-| |-- Polyhedron.templates.hh
-| |-- Polyhedron.types.hh
+| |-- Poly_Gen_Relation_defs.hh
+| |-- Poly_Gen_Relation_inlines.hh
+| |-- Poly_Gen_Relation_types.hh
+| |-- Polyhedron_defs.hh
+| |-- Polyhedron_inlines.hh
+| |-- Polyhedron_templates.hh
+| |-- Polyhedron_types.hh
| |-- Polyhedron_chdims.cc
-| |-- Polyhedron_chdims.templates.hh
-| |-- Polyhedron_conversion.templates.hh
-| |-- Polyhedron_minimize.templates.hh
+| |-- Polyhedron_chdims_templates.hh
+| |-- Polyhedron_conversion_templates.hh
+| |-- Polyhedron_minimize_templates.hh
| |-- Polyhedron_nonpublic.cc
| |-- Polyhedron_public.cc
-| |-- Polyhedron_simplify.templates.hh
+| |-- Polyhedron_simplify_templates.hh
| |-- Polyhedron_widenings.cc
-| |-- Powerset.defs.hh
-| |-- Powerset.inlines.hh
-| |-- Powerset.templates.hh
-| |-- Powerset.types.hh
-| |-- Ptr_Iterator.defs.hh
-| |-- Ptr_Iterator.inlines.hh
-| |-- Ptr_Iterator.types.hh
+| |-- Powerset_defs.hh
+| |-- Powerset_inlines.hh
+| |-- Powerset_templates.hh
+| |-- Powerset_types.hh
+| |-- Ptr_Iterator_defs.hh
+| |-- Ptr_Iterator_inlines.hh
+| |-- Ptr_Iterator_types.hh
| |-- Rational_Box.hh
| |-- Rational_Interval.hh
-| |-- Result.defs.hh
-| |-- Result.inlines.hh
-| |-- Rounding_Dir.defs.hh
-| |-- Rounding_Dir.inlines.hh
+| |-- Result_defs.hh
+| |-- Result_inlines.hh
+| |-- Rounding_Dir_defs.hh
+| |-- Rounding_Dir_inlines.hh
| |-- Scalar_Products.cc
-| |-- Scalar_Products.defs.hh
-| |-- Scalar_Products.inlines.hh
-| |-- Scalar_Products.types.hh
+| |-- Scalar_Products_defs.hh
+| |-- Scalar_Products_inlines.hh
+| |-- Scalar_Products_types.hh
| |-- Slow_Copy.hh
| |-- Sparse_Row.cc
-| |-- Sparse_Row.defs.hh
-| |-- Sparse_Row.inlines.hh
-| |-- Sparse_Row.templates.hh
-| |-- Sparse_Row.types.hh
-| |-- Sum_Floating_Point_Expression.defs.hh
-| |-- Sum_Floating_Point_Expression.inlines.hh
-| |-- Sum_Floating_Point_Expression.templates.hh
-| |-- Sum_Floating_Point_Expression.types.hh
-| |-- Swapping_Vector.defs.hh
-| |-- Swapping_Vector.inlines.hh
-| |-- Swapping_Vector.types.hh
-| |-- Temp.defs.hh
-| |-- Temp.inlines.hh
-| |-- Temp.templates.hh
+| |-- Sparse_Row_defs.hh
+| |-- Sparse_Row_inlines.hh
+| |-- Sparse_Row_templates.hh
+| |-- Sparse_Row_types.hh
+| |-- Sum_Floating_Point_Expression_defs.hh
+| |-- Sum_Floating_Point_Expression_inlines.hh
+| |-- Sum_Floating_Point_Expression_templates.hh
+| |-- Sum_Floating_Point_Expression_types.hh
+| |-- Swapping_Vector_defs.hh
+| |-- Swapping_Vector_inlines.hh
+| |-- Swapping_Vector_types.hh
+| |-- Temp_defs.hh
+| |-- Temp_inlines.hh
+| |-- Temp_templates.hh
| |-- Threshold_Watcher.cc
-| |-- Threshold_Watcher.defs.hh
-| |-- Threshold_Watcher.inlines.hh
-| |-- Threshold_Watcher.templates.hh
-| |-- Threshold_Watcher.types.hh
+| |-- Threshold_Watcher_defs.hh
+| |-- Threshold_Watcher_inlines.hh
+| |-- Threshold_Watcher_templates.hh
+| |-- Threshold_Watcher_types.hh
| |-- Time.cc
-| |-- Time.defs.hh
-| |-- Time.inlines.hh
-| |-- Time.types.hh
-| |-- Topology.types.hh
+| |-- Time_defs.hh
+| |-- Time_inlines.hh
+| |-- Time_types.hh
+| |-- Topology_types.hh
| |-- Variable.cc
-| |-- Variable.defs.hh
-| |-- Variable.inlines.hh
-| |-- Variable.types.hh
-| |-- Variable_Floating_Point_Expression.defs.hh
-| |-- Variable_Floating_Point_Expression.inlines.hh
-| |-- Variable_Floating_Point_Expression.types.hh
+| |-- Variable_defs.hh
+| |-- Variable_inlines.hh
+| |-- Variable_types.hh
+| |-- Variable_Floating_Point_Expression_defs.hh
+| |-- Variable_Floating_Point_Expression_inlines.hh
+| |-- Variable_Floating_Point_Expression_types.hh
| |-- Variables_Set.cc
-| |-- Variables_Set.defs.hh
-| |-- Variables_Set.inlines.hh
-| |-- Variables_Set.types.hh
-| |-- WRD_coefficient_types.defs.hh
-| |-- WRD_coefficient_types.inlines.hh
+| |-- Variables_Set_defs.hh
+| |-- Variables_Set_inlines.hh
+| |-- Variables_Set_types.hh
+| |-- WRD_coefficient_types_defs.hh
+| |-- WRD_coefficient_types_inlines.hh
| |-- Watchdog.cc
-| |-- Watchdog.defs.hh
-| |-- Watchdog.inlines.hh
-| |-- Watchdog.types.hh
+| |-- Watchdog_defs.hh
+| |-- Watchdog_inlines.hh
+| |-- Watchdog_types.hh
| |-- Weight_Profiler.cc
-| |-- Weight_Profiler.defs.hh
-| |-- Widening_Function.defs.hh
-| |-- Widening_Function.inlines.hh
-| |-- Widening_Function.types.hh
+| |-- Weight_Profiler_defs.hh
+| |-- Widening_Function_defs.hh
+| |-- Widening_Function_inlines.hh
+| |-- Widening_Function_types.hh
| |-- algorithms.hh
| |-- assert.cc
| |-- assert.hh
| |-- assign_or_swap.hh
| |-- c_streambuf.cc
-| |-- c_streambuf.defs.hh
-| |-- c_streambuf.inlines.hh
-| |-- c_streambuf.types.hh
+| |-- c_streambuf_defs.hh
+| |-- c_streambuf_inlines.hh
+| |-- c_streambuf_types.hh
| |-- checked.cc
-| |-- checked.defs.hh
-| |-- checked.inlines.hh
-| |-- checked_ext.inlines.hh
-| |-- checked_float.inlines.hh
-| |-- checked_int.inlines.hh
-| |-- checked_mpq.inlines.hh
-| |-- checked_mpz.inlines.hh
+| |-- checked_defs.hh
+| |-- checked_inlines.hh
+| |-- checked_ext_inlines.hh
+| |-- checked_float_inlines.hh
+| |-- checked_int_inlines.hh
+| |-- checked_mpq_inlines.hh
+| |-- checked_mpz_inlines.hh
| |-- checked_numeric_limits.hh
| |-- compiler.hh
-| |-- distances.defs.hh
-| |-- distances.inlines.hh
-| |-- distances.types.hh
-| |-- fpu-c99.inlines.hh
+| |-- distances_defs.hh
+| |-- distances_inlines.hh
+| |-- distances_types.hh
+| |-- fpu-c99_inlines.hh
| |-- fpu-ia32.cc
-| |-- fpu-ia32.inlines.hh
-| |-- fpu-none.inlines.hh
-| |-- fpu-sparc.inlines.hh
-| |-- fpu.defs.hh
-| |-- fpu.types.hh
+| |-- fpu-ia32_inlines.hh
+| |-- fpu-none_inlines.hh
+| |-- fpu-sparc_inlines.hh
+| |-- fpu_defs.hh
+| |-- fpu_types.hh
| |-- globals.cc
-| |-- globals.defs.hh
-| |-- globals.inlines.hh
-| |-- globals.types.hh
+| |-- globals_defs.hh
+| |-- globals_inlines.hh
+| |-- globals_types.hh
| |-- initializer.hh
-| |-- intervals.defs.hh
-| |-- iterator_to_const.defs.hh
-| |-- iterator_to_const.inlines.hh
-| |-- iterator_to_const.types.hh
+| |-- intervals_defs.hh
+| |-- iterator_to_const_defs.hh
+| |-- iterator_to_const_inlines.hh
+| |-- iterator_to_const_types.hh
| |-- linearize.hh
-| |-- math_utilities.defs.hh
-| |-- math_utilities.inlines.hh
+| |-- math_utilities_defs.hh
+| |-- math_utilities_inlines.hh
| |-- max_space_dimension.hh
| |-- meta_programming.hh
| |-- mp_std_bits.cc
-| |-- mp_std_bits.defs.hh
-| |-- mp_std_bits.inlines.hh
+| |-- mp_std_bits_defs.hh
+| |-- mp_std_bits_inlines.hh
| |-- namespaces.hh
| |-- ppl-config.cc.in
| |-- ppl.hh.dist
| |-- ppl_header.hh
| |-- stdiobuf.cc
-| |-- stdiobuf.defs.hh
-| |-- stdiobuf.inlines.hh
-| |-- stdiobuf.types.hh
-| |-- swapping_sort.templates.hh
+| |-- stdiobuf_defs.hh
+| |-- stdiobuf_inlines.hh
+| |-- stdiobuf_types.hh
+| |-- swapping_sort_templates.hh
| |-- termination.cc
-| |-- termination.defs.hh
-| |-- termination.templates.hh
-| |-- termination.types.hh
+| |-- termination_defs.hh
+| |-- termination_templates.hh
+| |-- termination_types.hh
| |-- version.cc
| |-- version.hh.in
| |-- wrap_assign.hh
@@ -1284,8 +1284,8 @@ ppl-1.0
| | `-- cotree1.cc
| |-- Concrete_Expression
| | |-- C_Expr.cc
-| | |-- C_Expr.defs.hh
-| | |-- C_Expr.inlines.hh
+| | |-- C_Expr_defs.hh
+| | |-- C_Expr_inlines.hh
| | |-- Makefile.am
| | |-- Makefile.in
| | |-- bdshape1.cc
@@ -1711,9 +1711,9 @@ ppl-1.0
| | |-- universe1.cc
| | `-- upperbound1.cc
| |-- README
-| |-- Random_Number_Generator.defs.hh
-| |-- Random_Number_Generator.inlines.hh
-| |-- Random_Number_Generator.types.hh
+| |-- Random_Number_Generator_defs.hh
+| |-- Random_Number_Generator_inlines.hh
+| |-- Random_Number_Generator_types.hh
| |-- Watchdog
| | |-- Makefile.am
| | |-- Makefile.in
@@ -1737,7 +1737,7 @@ ppl-1.0
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/README.alpha b/README.alpha
index 5e9e6fa..490756c 100644
--- a/README.alpha
+++ b/README.alpha
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -28,7 +28,7 @@ should probably not worry. Your mileage may vary...
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/README.arm b/README.arm
index 18e2bad..435baae 100644
--- a/README.arm
+++ b/README.arm
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -23,7 +23,7 @@ For example:
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/README.configure b/README.configure
index 7181c84..54268f8 100644
--- a/README.configure
+++ b/README.configure
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -400,7 +400,7 @@ If desired, these default values can be customized to user's needs by
changing just a few lines of library code. For instance, the
constraint systems stored inside C_Polyhedron and NNC_Polyhedron
objects can be made to use the sparse representation by just changing
-the following line in Polyhedron.defs.hh:
+the following line in Polyhedron_defs.hh:
static const Representation default_con_sys_repr = DENSE;
@@ -488,7 +488,7 @@ you cannot explain otherwise, use `autoreconf -f'.
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/README.solaris b/README.solaris
index ead4a76..f940c14 100644
--- a/README.solaris
+++ b/README.solaris
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -19,7 +19,7 @@ This is recommended, even if only the C++ language interface is used.
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/STANDARDS b/STANDARDS
index ea09010..a73e161 100644
--- a/STANDARDS
+++ b/STANDARDS
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -136,13 +136,13 @@ Use `!' to negate a value.
For example, use
- if (!ph.is_empty())
- std::cout << "ph contains at least one point" << endl;
+ if (!ph.is_empty())
+ std::cout << "ph contains at least one point" << endl;
instead of
- if (ph.is_empty() == false)
- std::cout << "ph contains at least one point" << endl;
+ if (ph.is_empty() == false)
+ std::cout << "ph contains at least one point" << endl;
Comparison with zero
@@ -152,11 +152,11 @@ Be explicit when comparing a value with zero in a conditional context.
For example, use
- assert(sys.num_rows() != 0);
+ assert(sys.num_rows() != 0);
instead of
- assert(sys.num_rows());
+ assert(sys.num_rows());
Formatting Conventions
@@ -249,20 +249,20 @@ developer of the library should be provided with a set of source files
whose filenames start with `Xtype'. The source files for such a type
should be named and populated as follows:
-a) Xtype.types.hh
+a) Xtype_types.hh
Contains the forward declarations of type names (in particular, the
one for `Xtype') and other useful typedef's.
-b) Xtype.defs.hh
+b) Xtype_defs.hh
Contains the definition of the type, together with the declaration of
any function that, even though not being formally part of the type, is
nonetheless related to it and should therefore be considered part of
its interface.
-c) Xtype.inlines.hh
+c) Xtype_inlines.hh
Contains the definitions of inline functions.
-d) Xtype.templates.hh
+d) Xtype_templates.hh
Contains the non-inline definitions of all class template members and
all (member or non-member) function templates that are not fully
specialized.
@@ -277,8 +277,8 @@ Polyhedron_public.cc, Polyhedron_nonpublic.cc, Polyhedron_chdims.cc
and Polyhedron_widenings.cc, or even conversion.cc, minimize.cc, etc.).
Note that:
- - all interface functions should be declared in Xtype.defs.hh;
- - no function definition should be placed in Xtype.defs.hh;
+ - all interface functions should be declared in Xtype_defs.hh;
+ - no function definition should be placed in Xtype_defs.hh;
- bare declarations should not be declared inline (i.e., inline directives
should be placed only in front of the definition of the functions);
- inner classes are usually kept in the same files as the outer class;
@@ -374,7 +374,7 @@ Standards for Documenting the Project with Doxygen
5) In the source files, detailed comments should be placed together
with the brief ones, so that all the documentation pertinent to a
- code entity is kept in a single file (typically, the *.defs.hh file).
+ code entity is kept in a single file (typically, the *_defs.hh file).
6) Brief Doxygen comments should be brief (indeed).
If more than two lines are required, then the comment should be
@@ -384,7 +384,7 @@ Standards for Documenting the Project with Doxygen
(but that are useful for the developers) should be surrounded by
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! ... Doxygen comments ...
+ //! ... Doxygen comments ...
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
so that they will only appear in the developer's reference.
@@ -421,7 +421,7 @@ Standards for Documenting the Project with Doxygen
It seems that, in order to correctly match function declarations
and definitions, the \relates command should be placed in both places.
Typically, this will be the only kind of Doxygen command
- occurring in *.inlines.hh and *.cc source files.
+ occurring in *_inlines.hh and *.cc source files.
If Classname is a template class, the arguments of the template
(as well as the angle brackets) should be omitted.
@@ -708,7 +708,7 @@ o Ideally the tests should exercise every line of code in the library.
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/aclocal.m4 b/aclocal.m4
index 1df5f6c..15739f3 100644
--- a/aclocal.m4
+++ b/aclocal.m4
@@ -1,8 +1,7 @@
-# generated automatically by aclocal 1.11.3 -*- Autoconf -*-
+# generated automatically by aclocal 1.12.6 -*- Autoconf -*-
+
+# Copyright (C) 1996-2012 Free Software Foundation, Inc.
-# Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004,
-# 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation,
-# Inc.
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -18,27 +17,24 @@ m4_if(m4_defn([AC_AUTOCONF_VERSION]), [2.68],,
[m4_warning([this file was generated for autoconf 2.68.
You have another version of autoconf. It may work, but is not guaranteed to.
If you have problems, you may need to regenerate the build system entirely.
-To do so, use the procedure documented by the package, typically `autoreconf'.])])
+To do so, use the procedure documented by the package, typically 'autoreconf'.])])
-# Copyright (C) 2002, 2003, 2005, 2006, 2007, 2008, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 2002-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 1
-
# AM_AUTOMAKE_VERSION(VERSION)
# ----------------------------
# Automake X.Y traces this macro to ensure aclocal.m4 has been
# generated from the m4 files accompanying Automake X.Y.
# (This private macro should not be called outside this file.)
AC_DEFUN([AM_AUTOMAKE_VERSION],
-[am__api_version='1.11'
+[am__api_version='1.12'
dnl Some users find AM_AUTOMAKE_VERSION and mistake it for a way to
dnl require some minimum version. Point them to the right macro.
-m4_if([$1], [1.11.3], [],
+m4_if([$1], [1.12.6], [],
[AC_FATAL([Do not call $0, use AM_INIT_AUTOMAKE([$1]).])])dnl
])
@@ -54,24 +50,22 @@ m4_define([_AM_AUTOCONF_VERSION], [])
# Call AM_AUTOMAKE_VERSION and AM_AUTOMAKE_VERSION so they can be traced.
# This function is AC_REQUIREd by AM_INIT_AUTOMAKE.
AC_DEFUN([AM_SET_CURRENT_AUTOMAKE_VERSION],
-[AM_AUTOMAKE_VERSION([1.11.3])dnl
+[AM_AUTOMAKE_VERSION([1.12.6])dnl
m4_ifndef([AC_AUTOCONF_VERSION],
[m4_copy([m4_PACKAGE_VERSION], [AC_AUTOCONF_VERSION])])dnl
_AM_AUTOCONF_VERSION(m4_defn([AC_AUTOCONF_VERSION]))])
# AM_AUX_DIR_EXPAND -*- Autoconf -*-
-# Copyright (C) 2001, 2003, 2005, 2011 Free Software Foundation, Inc.
+# Copyright (C) 2001-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 1
-
# For projects using AC_CONFIG_AUX_DIR([foo]), Autoconf sets
-# $ac_aux_dir to `$srcdir/foo'. In other projects, it is set to
-# `$srcdir', `$srcdir/..', or `$srcdir/../..'.
+# $ac_aux_dir to '$srcdir/foo'. In other projects, it is set to
+# '$srcdir', '$srcdir/..', or '$srcdir/../..'.
#
# Of course, Automake must honor this variable whenever it calls a
# tool from the auxiliary directory. The problem is that $srcdir (and
@@ -90,7 +84,7 @@ _AM_AUTOCONF_VERSION(m4_defn([AC_AUTOCONF_VERSION]))])
#
# The reason of the latter failure is that $top_srcdir and $ac_aux_dir
# are both prefixed by $srcdir. In an in-source build this is usually
-# harmless because $srcdir is `.', but things will broke when you
+# harmless because $srcdir is '.', but things will broke when you
# start a VPATH build or use an absolute $srcdir.
#
# So we could use something similar to $top_srcdir/$ac_aux_dir/missing,
@@ -116,22 +110,19 @@ am_aux_dir=`cd $ac_aux_dir && pwd`
# AM_CONDITIONAL -*- Autoconf -*-
-# Copyright (C) 1997, 2000, 2001, 2003, 2004, 2005, 2006, 2008
-# Free Software Foundation, Inc.
+# Copyright (C) 1997-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 9
-
# AM_CONDITIONAL(NAME, SHELL-CONDITION)
# -------------------------------------
# Define a conditional.
AC_DEFUN([AM_CONDITIONAL],
-[AC_PREREQ(2.52)dnl
- ifelse([$1], [TRUE], [AC_FATAL([$0: invalid condition: $1])],
- [$1], [FALSE], [AC_FATAL([$0: invalid condition: $1])])dnl
+[AC_PREREQ([2.52])dnl
+ m4_if([$1], [TRUE], [AC_FATAL([$0: invalid condition: $1])],
+ [$1], [FALSE], [AC_FATAL([$0: invalid condition: $1])])dnl
AC_SUBST([$1_TRUE])dnl
AC_SUBST([$1_FALSE])dnl
_AM_SUBST_NOTMAKE([$1_TRUE])dnl
@@ -150,16 +141,14 @@ AC_CONFIG_COMMANDS_PRE(
Usually this means the macro was only invoked conditionally.]])
fi])])
-# Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2009,
-# 2010, 2011 Free Software Foundation, Inc.
+# Copyright (C) 1999-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 12
-# There are a few dirty hacks below to avoid letting `AC_PROG_CC' be
+# There are a few dirty hacks below to avoid letting 'AC_PROG_CC' be
# written in clear, in which case automake, when reading aclocal.m4,
# will think it sees a *use*, and therefore will trigger all it's
# C support machinery. Also note that it means that autoscan, seeing
@@ -169,7 +158,7 @@ fi])])
# _AM_DEPENDENCIES(NAME)
# ----------------------
# See how the compiler implements dependency checking.
-# NAME is "CC", "CXX", "GCJ", or "OBJC".
+# NAME is "CC", "CXX", "OBJC", "OBJCXX", "UPC", or "GJC".
# We try a few techniques and use that to set a single cache variable.
#
# We don't AC_REQUIRE the corresponding AC_PROG_CC since the latter was
@@ -182,12 +171,13 @@ AC_REQUIRE([AM_OUTPUT_DEPENDENCY_COMMANDS])dnl
AC_REQUIRE([AM_MAKE_INCLUDE])dnl
AC_REQUIRE([AM_DEP_TRACK])dnl
-ifelse([$1], CC, [depcc="$CC" am_compiler_list=],
- [$1], CXX, [depcc="$CXX" am_compiler_list=],
- [$1], OBJC, [depcc="$OBJC" am_compiler_list='gcc3 gcc'],
- [$1], UPC, [depcc="$UPC" am_compiler_list=],
- [$1], GCJ, [depcc="$GCJ" am_compiler_list='gcc3 gcc'],
- [depcc="$$1" am_compiler_list=])
+m4_if([$1], [CC], [depcc="$CC" am_compiler_list=],
+ [$1], [CXX], [depcc="$CXX" am_compiler_list=],
+ [$1], [OBJC], [depcc="$OBJC" am_compiler_list='gcc3 gcc'],
+ [$1], [OBJCXX], [depcc="$OBJCXX" am_compiler_list='gcc3 gcc'],
+ [$1], [UPC], [depcc="$UPC" am_compiler_list=],
+ [$1], [GCJ], [depcc="$GCJ" am_compiler_list='gcc3 gcc'],
+ [depcc="$$1" am_compiler_list=])
AC_CACHE_CHECK([dependency style of $depcc],
[am_cv_$1_dependencies_compiler_type],
@@ -195,8 +185,8 @@ AC_CACHE_CHECK([dependency style of $depcc],
# We make a subdir and do the tests there. Otherwise we can end up
# making bogus files that we don't know about and never remove. For
# instance it was reported that on HP-UX the gcc test will end up
- # making a dummy file named `D' -- because `-MD' means `put the output
- # in D'.
+ # making a dummy file named 'D' -- because '-MD' means "put the output
+ # in D".
rm -rf conftest.dir
mkdir conftest.dir
# Copy depcomp to subdir because otherwise we won't find it if we're
@@ -236,16 +226,16 @@ AC_CACHE_CHECK([dependency style of $depcc],
: > sub/conftest.c
for i in 1 2 3 4 5 6; do
echo '#include "conftst'$i'.h"' >> sub/conftest.c
- # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with
- # Solaris 8's {/usr,}/bin/sh.
- touch sub/conftst$i.h
+ # Using ": > sub/conftst$i.h" creates only sub/conftst1.h with
+ # Solaris 10 /bin/sh.
+ echo '/* dummy */' > sub/conftst$i.h
done
echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf
- # We check with `-c' and `-o' for the sake of the "dashmstdout"
+ # We check with '-c' and '-o' for the sake of the "dashmstdout"
# mode. It turns out that the SunPro C++ compiler does not properly
- # handle `-M -o', and we need to detect this. Also, some Intel
- # versions had trouble with output in subdirs
+ # handle '-M -o', and we need to detect this. Also, some Intel
+ # versions had trouble with output in subdirs.
am__obj=sub/conftest.${OBJEXT-o}
am__minus_obj="-o $am__obj"
case $depmode in
@@ -254,8 +244,8 @@ AC_CACHE_CHECK([dependency style of $depcc],
test "$am__universal" = false || continue
;;
nosideeffect)
- # after this tag, mechanisms are not by side-effect, so they'll
- # only be used when explicitly requested
+ # After this tag, mechanisms are not by side-effect, so they'll
+ # only be used when explicitly requested.
if test "x$enable_dependency_tracking" = xyes; then
continue
else
@@ -263,7 +253,7 @@ AC_CACHE_CHECK([dependency style of $depcc],
fi
;;
msvc7 | msvc7msys | msvisualcpp | msvcmsys)
- # This compiler won't grok `-c -o', but also, the minuso test has
+ # This compiler won't grok '-c -o', but also, the minuso test has
# not run yet. These depmodes are late enough in the game, and
# so weak that their functioning should not be impacted.
am__obj=conftest.${OBJEXT-o}
@@ -311,7 +301,7 @@ AM_CONDITIONAL([am__fastdep$1], [
# AM_SET_DEPDIR
# -------------
# Choose a directory name for dependency files.
-# This macro is AC_REQUIREd in _AM_DEPENDENCIES
+# This macro is AC_REQUIREd in _AM_DEPENDENCIES.
AC_DEFUN([AM_SET_DEPDIR],
[AC_REQUIRE([AM_SET_LEADING_DOT])dnl
AC_SUBST([DEPDIR], ["${am__leading_dot}deps"])dnl
@@ -321,9 +311,13 @@ AC_SUBST([DEPDIR], ["${am__leading_dot}deps"])dnl
# AM_DEP_TRACK
# ------------
AC_DEFUN([AM_DEP_TRACK],
-[AC_ARG_ENABLE(dependency-tracking,
-[ --disable-dependency-tracking speeds up one-time build
- --enable-dependency-tracking do not reject slow dependency extractors])
+[AC_ARG_ENABLE([dependency-tracking], [dnl
+AS_HELP_STRING(
+ [--enable-dependency-tracking],
+ [do not reject slow dependency extractors])
+AS_HELP_STRING(
+ [--disable-dependency-tracking],
+ [speeds up one-time build])])
if test "x$enable_dependency_tracking" != xno; then
am_depcomp="$ac_aux_dir/depcomp"
AMDEPBACKSLASH='\'
@@ -338,14 +332,12 @@ _AM_SUBST_NOTMAKE([am__nodep])dnl
# Generate code to set up dependency tracking. -*- Autoconf -*-
-# Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2008
-# Free Software Foundation, Inc.
+# Copyright (C) 1999-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-#serial 5
# _AM_OUTPUT_DEPENDENCY_COMMANDS
# ------------------------------
@@ -364,7 +356,7 @@ AC_DEFUN([_AM_OUTPUT_DEPENDENCY_COMMANDS],
# Strip MF so we end up with the name of the file.
mf=`echo "$mf" | sed -e 's/:.*$//'`
# Check whether this is an Automake generated Makefile or not.
- # We used to match only the files named `Makefile.in', but
+ # We used to match only the files named 'Makefile.in', but
# some people rename them; so instead we look at the file content.
# Grep'ing the first line is not enough: some people post-process
# each Makefile.in and add a new line on top of each file to say so.
@@ -376,21 +368,19 @@ AC_DEFUN([_AM_OUTPUT_DEPENDENCY_COMMANDS],
continue
fi
# Extract the definition of DEPDIR, am__include, and am__quote
- # from the Makefile without running `make'.
+ # from the Makefile without running 'make'.
DEPDIR=`sed -n 's/^DEPDIR = //p' < "$mf"`
test -z "$DEPDIR" && continue
am__include=`sed -n 's/^am__include = //p' < "$mf"`
test -z "am__include" && continue
am__quote=`sed -n 's/^am__quote = //p' < "$mf"`
- # When using ansi2knr, U may be empty or an underscore; expand it
- U=`sed -n 's/^U = //p' < "$mf"`
# Find all dependency output files, they are included files with
# $(DEPDIR) in their names. We invoke sed twice because it is the
# simplest approach to changing $(DEPDIR) to its actual value in the
# expansion.
for file in `sed -n "
s/^$am__include $am__quote\(.*(DEPDIR).*\)$am__quote"'$/\1/p' <"$mf" | \
- sed -e 's/\$(DEPDIR)/'"$DEPDIR"'/g' -e 's/\$U/'"$U"'/g'`; do
+ sed -e 's/\$(DEPDIR)/'"$DEPDIR"'/g'`; do
# Make sure the directory exists.
test -f "$dirpart/$file" && continue
fdir=`AS_DIRNAME(["$file"])`
@@ -408,7 +398,7 @@ AC_DEFUN([_AM_OUTPUT_DEPENDENCY_COMMANDS],
# This macro should only be invoked once -- use via AC_REQUIRE.
#
# This code is only required when automatic dependency tracking
-# is enabled. FIXME. This creates each `.P' file that we will
+# is enabled. FIXME. This creates each '.P' file that we will
# need in order to bootstrap the dependency handling code.
AC_DEFUN([AM_OUTPUT_DEPENDENCY_COMMANDS],
[AC_CONFIG_COMMANDS([depfiles],
@@ -418,15 +408,12 @@ AC_DEFUN([AM_OUTPUT_DEPENDENCY_COMMANDS],
# Do all the work for Automake. -*- Autoconf -*-
-# Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004,
-# 2005, 2006, 2008, 2009 Free Software Foundation, Inc.
+# Copyright (C) 1996-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 16
-
# This macro actually does too much. Some checks are only needed if
# your package does certain things. But this isn't really a big deal.
@@ -471,31 +458,41 @@ AC_SUBST([CYGPATH_W])
# Define the identity of the package.
dnl Distinguish between old-style and new-style calls.
m4_ifval([$2],
-[m4_ifval([$3], [_AM_SET_OPTION([no-define])])dnl
+[AC_DIAGNOSE([obsolete],
+[$0: two- and three-arguments forms are deprecated. For more info, see:
+http://www.gnu.org/software/automake/manual/automake.html#Modernize-AM_INIT_AUTOMAKE-invocation])
+m4_ifval([$3], [_AM_SET_OPTION([no-define])])dnl
AC_SUBST([PACKAGE], [$1])dnl
AC_SUBST([VERSION], [$2])],
[_AM_SET_OPTIONS([$1])dnl
dnl Diagnose old-style AC_INIT with new-style AM_AUTOMAKE_INIT.
-m4_if(m4_ifdef([AC_PACKAGE_NAME], 1)m4_ifdef([AC_PACKAGE_VERSION], 1), 11,,
+m4_if(
+ m4_ifdef([AC_PACKAGE_NAME], [ok]):m4_ifdef([AC_PACKAGE_VERSION], [ok]),
+ [ok:ok],,
[m4_fatal([AC_INIT should be called with package and version arguments])])dnl
AC_SUBST([PACKAGE], ['AC_PACKAGE_TARNAME'])dnl
AC_SUBST([VERSION], ['AC_PACKAGE_VERSION'])])dnl
_AM_IF_OPTION([no-define],,
-[AC_DEFINE_UNQUOTED(PACKAGE, "$PACKAGE", [Name of package])
- AC_DEFINE_UNQUOTED(VERSION, "$VERSION", [Version number of package])])dnl
+[AC_DEFINE_UNQUOTED([PACKAGE], ["$PACKAGE"], [Name of package])
+ AC_DEFINE_UNQUOTED([VERSION], ["$VERSION"], [Version number of package])])dnl
# Some tools Automake needs.
AC_REQUIRE([AM_SANITY_CHECK])dnl
AC_REQUIRE([AC_ARG_PROGRAM])dnl
-AM_MISSING_PROG(ACLOCAL, aclocal-${am__api_version})
-AM_MISSING_PROG(AUTOCONF, autoconf)
-AM_MISSING_PROG(AUTOMAKE, automake-${am__api_version})
-AM_MISSING_PROG(AUTOHEADER, autoheader)
-AM_MISSING_PROG(MAKEINFO, makeinfo)
+AM_MISSING_PROG([ACLOCAL], [aclocal-${am__api_version}])
+AM_MISSING_PROG([AUTOCONF], [autoconf])
+AM_MISSING_PROG([AUTOMAKE], [automake-${am__api_version}])
+AM_MISSING_PROG([AUTOHEADER], [autoheader])
+AM_MISSING_PROG([MAKEINFO], [makeinfo])
AC_REQUIRE([AM_PROG_INSTALL_SH])dnl
AC_REQUIRE([AM_PROG_INSTALL_STRIP])dnl
-AC_REQUIRE([AM_PROG_MKDIR_P])dnl
+AC_REQUIRE([AC_PROG_MKDIR_P])dnl
+# For better backward compatibility. To be removed once Automake 1.9.x
+# dies out for good. For more background, see:
+# <http://lists.gnu.org/archive/html/automake/2012-07/msg00001.html>
+# <http://lists.gnu.org/archive/html/automake/2012-07/msg00014.html>
+AC_SUBST([mkdir_p], ['$(MKDIR_P)'])
# We need awk for the "check" target. The system "awk" is bad on
# some platforms.
AC_REQUIRE([AC_PROG_AWK])dnl
@@ -506,28 +503,35 @@ _AM_IF_OPTION([tar-ustar], [_AM_PROG_TAR([ustar])],
[_AM_PROG_TAR([v7])])])
_AM_IF_OPTION([no-dependencies],,
[AC_PROVIDE_IFELSE([AC_PROG_CC],
- [_AM_DEPENDENCIES(CC)],
- [define([AC_PROG_CC],
- defn([AC_PROG_CC])[_AM_DEPENDENCIES(CC)])])dnl
+ [_AM_DEPENDENCIES([CC])],
+ [m4_define([AC_PROG_CC],
+ m4_defn([AC_PROG_CC])[_AM_DEPENDENCIES([CC])])])dnl
AC_PROVIDE_IFELSE([AC_PROG_CXX],
- [_AM_DEPENDENCIES(CXX)],
- [define([AC_PROG_CXX],
- defn([AC_PROG_CXX])[_AM_DEPENDENCIES(CXX)])])dnl
+ [_AM_DEPENDENCIES([CXX])],
+ [m4_define([AC_PROG_CXX],
+ m4_defn([AC_PROG_CXX])[_AM_DEPENDENCIES([CXX])])])dnl
AC_PROVIDE_IFELSE([AC_PROG_OBJC],
- [_AM_DEPENDENCIES(OBJC)],
- [define([AC_PROG_OBJC],
- defn([AC_PROG_OBJC])[_AM_DEPENDENCIES(OBJC)])])dnl
+ [_AM_DEPENDENCIES([OBJC])],
+ [m4_define([AC_PROG_OBJC],
+ m4_defn([AC_PROG_OBJC])[_AM_DEPENDENCIES([OBJC])])])dnl
+dnl Support for Objective C++ was only introduced in Autoconf 2.65,
+dnl but we still cater to Autoconf 2.62.
+m4_ifdef([AC_PROG_OBJCXX],
+[AC_PROVIDE_IFELSE([AC_PROG_OBJCXX],
+ [_AM_DEPENDENCIES([OBJCXX])],
+ [m4_define([AC_PROG_OBJCXX],
+ m4_defn([AC_PROG_OBJCXX])[_AM_DEPENDENCIES([OBJCXX])])])])dnl
])
_AM_IF_OPTION([silent-rules], [AC_REQUIRE([AM_SILENT_RULES])])dnl
-dnl The `parallel-tests' driver may need to know about EXEEXT, so add the
-dnl `am__EXEEXT' conditional if _AM_COMPILER_EXEEXT was seen. This macro
+dnl The 'parallel-tests' driver may need to know about EXEEXT, so add the
+dnl 'am__EXEEXT' conditional if _AM_COMPILER_EXEEXT was seen. This macro
dnl is hooked onto _AC_COMPILER_EXEEXT early, see below.
AC_CONFIG_COMMANDS_PRE(dnl
[m4_provide_if([_AM_COMPILER_EXEEXT],
[AM_CONDITIONAL([am__EXEEXT], [test -n "$EXEEXT"])])])dnl
])
-dnl Hook into `_AC_COMPILER_EXEEXT' early to learn its expansion. Do not
+dnl Hook into '_AC_COMPILER_EXEEXT' early to learn its expansion. Do not
dnl add the conditional right here, as _AC_COMPILER_EXEEXT may be further
dnl mangled by Autoconf and run in a shell conditional statement.
m4_define([_AC_COMPILER_EXEEXT],
@@ -555,15 +559,12 @@ for _am_header in $config_headers :; do
done
echo "timestamp for $_am_arg" >`AS_DIRNAME(["$_am_arg"])`/stamp-h[]$_am_stamp_count])
-# Copyright (C) 2001, 2003, 2005, 2008, 2011 Free Software Foundation,
-# Inc.
+# Copyright (C) 2001-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 1
-
# AM_PROG_INSTALL_SH
# ------------------
# Define $install_sh.
@@ -577,16 +578,14 @@ if test x"${install_sh}" != xset; then
install_sh="\${SHELL} $am_aux_dir/install-sh"
esac
fi
-AC_SUBST(install_sh)])
+AC_SUBST([install_sh])])
-# Copyright (C) 2003, 2005 Free Software Foundation, Inc.
+# Copyright (C) 2003-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 2
-
# Check whether the underlying file-system supports filenames
# with a leading dot. For instance MS-DOS doesn't.
AC_DEFUN([AM_SET_LEADING_DOT],
@@ -602,14 +601,12 @@ AC_SUBST([am__leading_dot])])
# Check to see how 'make' treats includes. -*- Autoconf -*-
-# Copyright (C) 2001, 2002, 2003, 2005, 2009 Free Software Foundation, Inc.
+# Copyright (C) 2001-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 4
-
# AM_MAKE_INCLUDE()
# -----------------
# Check to see how make treats includes.
@@ -627,7 +624,7 @@ am__quote=
_am_result=none
# First try GNU make style include.
echo "include confinc" > confmf
-# Ignore all kinds of additional output from `make'.
+# Ignore all kinds of additional output from 'make'.
case `$am_make -s -f confmf 2> /dev/null` in #(
*the\ am__doit\ target*)
am__include=include
@@ -654,15 +651,12 @@ rm -f confinc confmf
# Fake the existence of programs that GNU maintainers use. -*- Autoconf -*-
-# Copyright (C) 1997, 1999, 2000, 2001, 2003, 2004, 2005, 2008
-# Free Software Foundation, Inc.
+# Copyright (C) 1997-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 6
-
# AM_MISSING_PROG(NAME, PROGRAM)
# ------------------------------
AC_DEFUN([AM_MISSING_PROG],
@@ -670,7 +664,6 @@ AC_DEFUN([AM_MISSING_PROG],
$1=${$1-"${am_missing_run}$2"}
AC_SUBST($1)])
-
# AM_MISSING_HAS_RUN
# ------------------
# Define MISSING if not defined so far and test if it supports --run.
@@ -691,50 +684,18 @@ if eval "$MISSING --run true"; then
am_missing_run="$MISSING --run "
else
am_missing_run=
- AC_MSG_WARN([`missing' script is too old or missing])
+ AC_MSG_WARN(['missing' script is too old or missing])
fi
])
-# Copyright (C) 2003, 2004, 2005, 2006, 2011 Free Software Foundation,
-# Inc.
-#
-# This file is free software; the Free Software Foundation
-# gives unlimited permission to copy and/or distribute it,
-# with or without modifications, as long as this notice is preserved.
-
-# serial 1
-
-# AM_PROG_MKDIR_P
-# ---------------
-# Check for `mkdir -p'.
-AC_DEFUN([AM_PROG_MKDIR_P],
-[AC_PREREQ([2.60])dnl
-AC_REQUIRE([AC_PROG_MKDIR_P])dnl
-dnl Automake 1.8 to 1.9.6 used to define mkdir_p. We now use MKDIR_P,
-dnl while keeping a definition of mkdir_p for backward compatibility.
-dnl @MKDIR_P@ is magic: AC_OUTPUT adjusts its value for each Makefile.
-dnl However we cannot define mkdir_p as $(MKDIR_P) for the sake of
-dnl Makefile.ins that do not define MKDIR_P, so we do our own
-dnl adjustment using top_builddir (which is defined more often than
-dnl MKDIR_P).
-AC_SUBST([mkdir_p], ["$MKDIR_P"])dnl
-case $mkdir_p in
- [[\\/$]]* | ?:[[\\/]]*) ;;
- */*) mkdir_p="\$(top_builddir)/$mkdir_p" ;;
-esac
-])
-
# Helper functions for option handling. -*- Autoconf -*-
-# Copyright (C) 2001, 2002, 2003, 2005, 2008, 2010 Free Software
-# Foundation, Inc.
+# Copyright (C) 2001-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 5
-
# _AM_MANGLE_OPTION(NAME)
# -----------------------
AC_DEFUN([_AM_MANGLE_OPTION],
@@ -744,7 +705,7 @@ AC_DEFUN([_AM_MANGLE_OPTION],
# --------------------
# Set option NAME. Presently that only means defining a flag for this option.
AC_DEFUN([_AM_SET_OPTION],
-[m4_define(_AM_MANGLE_OPTION([$1]), 1)])
+[m4_define(_AM_MANGLE_OPTION([$1]), [1])])
# _AM_SET_OPTIONS(OPTIONS)
# ------------------------
@@ -758,14 +719,12 @@ AC_DEFUN([_AM_SET_OPTIONS],
AC_DEFUN([_AM_IF_OPTION],
[m4_ifset(_AM_MANGLE_OPTION([$1]), [$2], [$3])])
-# Copyright (C) 2001, 2003, 2005, 2011 Free Software Foundation, Inc.
+# Copyright (C) 2001-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 1
-
# AM_RUN_LOG(COMMAND)
# -------------------
# Run COMMAND, save the exit status in ac_status, and log it.
@@ -779,22 +738,16 @@ AC_DEFUN([AM_RUN_LOG],
# Check to make sure that the build environment is sane. -*- Autoconf -*-
-# Copyright (C) 1996, 1997, 2000, 2001, 2003, 2005, 2008
-# Free Software Foundation, Inc.
+# Copyright (C) 1996-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 5
-
# AM_SANITY_CHECK
# ---------------
AC_DEFUN([AM_SANITY_CHECK],
[AC_MSG_CHECKING([whether build environment is sane])
-# Just in case
-sleep 1
-echo timestamp > conftest.file
# Reject unsafe characters in $srcdir or the absolute working directory
# name. Accept space and tab only in the latter.
am_lf='
@@ -805,32 +758,40 @@ case `pwd` in
esac
case $srcdir in
*[[\\\"\#\$\&\'\`$am_lf\ \ ]]*)
- AC_MSG_ERROR([unsafe srcdir value: `$srcdir']);;
+ AC_MSG_ERROR([unsafe srcdir value: '$srcdir']);;
esac
-# Do `set' in a subshell so we don't clobber the current shell's
+# Do 'set' in a subshell so we don't clobber the current shell's
# arguments. Must try -L first in case configure is actually a
# symlink; some systems play weird games with the mod time of symlinks
# (eg FreeBSD returns the mod time of the symlink's containing
# directory).
if (
- set X `ls -Lt "$srcdir/configure" conftest.file 2> /dev/null`
- if test "$[*]" = "X"; then
- # -L didn't work.
- set X `ls -t "$srcdir/configure" conftest.file`
- fi
- rm -f conftest.file
- if test "$[*]" != "X $srcdir/configure conftest.file" \
- && test "$[*]" != "X conftest.file $srcdir/configure"; then
-
- # If neither matched, then we have a broken ls. This can happen
- # if, for instance, CONFIG_SHELL is bash and it inherits a
- # broken ls alias from the environment. This has actually
- # happened. Such a system could not be considered "sane".
- AC_MSG_ERROR([ls -t appears to fail. Make sure there is not a broken
-alias in your environment])
- fi
-
+ am_has_slept=no
+ for am_try in 1 2; do
+ echo "timestamp, slept: $am_has_slept" > conftest.file
+ set X `ls -Lt "$srcdir/configure" conftest.file 2> /dev/null`
+ if test "$[*]" = "X"; then
+ # -L didn't work.
+ set X `ls -t "$srcdir/configure" conftest.file`
+ fi
+ if test "$[*]" != "X $srcdir/configure conftest.file" \
+ && test "$[*]" != "X conftest.file $srcdir/configure"; then
+
+ # If neither matched, then we have a broken ls. This can happen
+ # if, for instance, CONFIG_SHELL is bash and it inherits a
+ # broken ls alias from the environment. This has actually
+ # happened. Such a system could not be considered "sane".
+ AC_MSG_ERROR([ls -t appears to fail. Make sure there is not a broken
+ alias in your environment])
+ fi
+ if test "$[2]" = conftest.file || test $am_try -eq 2; then
+ break
+ fi
+ # Just in case.
+ sleep 1
+ am_has_slept=yes
+ done
test "$[2]" = conftest.file
)
then
@@ -840,31 +801,50 @@ else
AC_MSG_ERROR([newly created file is older than distributed files!
Check your system clock])
fi
-AC_MSG_RESULT(yes)])
+AC_MSG_RESULT([yes])
+# If we didn't sleep, we still need to ensure time stamps of config.status and
+# generated files are strictly newer.
+am_sleep_pid=
+if grep 'slept: no' conftest.file >/dev/null 2>&1; then
+ ( sleep 1 ) &
+ am_sleep_pid=$!
+fi
+AC_CONFIG_COMMANDS_PRE(
+ [AC_MSG_CHECKING([that generated files are newer than configure])
+ if test -n "$am_sleep_pid"; then
+ # Hide warnings about reused PIDs.
+ wait $am_sleep_pid 2>/dev/null
+ fi
+ AC_MSG_RESULT([done])])
+rm -f conftest.file
+])
-# Copyright (C) 2009, 2011 Free Software Foundation, Inc.
+# Copyright (C) 2009-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 2
-
# AM_SILENT_RULES([DEFAULT])
# --------------------------
# Enable less verbose build rules; with the default set to DEFAULT
-# (`yes' being less verbose, `no' or empty being verbose).
+# ("yes" being less verbose, "no" or empty being verbose).
AC_DEFUN([AM_SILENT_RULES],
-[AC_ARG_ENABLE([silent-rules],
-[ --enable-silent-rules less verbose build output (undo: `make V=1')
- --disable-silent-rules verbose build output (undo: `make V=0')])
-case $enable_silent_rules in
-yes) AM_DEFAULT_VERBOSITY=0;;
-no) AM_DEFAULT_VERBOSITY=1;;
-*) AM_DEFAULT_VERBOSITY=m4_if([$1], [yes], [0], [1]);;
+[AC_ARG_ENABLE([silent-rules], [dnl
+AS_HELP_STRING(
+ [--enable-silent-rules],
+ [less verbose build output (undo: "make V=1")])
+AS_HELP_STRING(
+ [--disable-silent-rules],
+ [verbose build output (undo: "make V=0")])dnl
+])
+case $enable_silent_rules in @%:@ (((
+ yes) AM_DEFAULT_VERBOSITY=0;;
+ no) AM_DEFAULT_VERBOSITY=1;;
+ *) AM_DEFAULT_VERBOSITY=m4_if([$1], [yes], [0], [1]);;
esac
dnl
-dnl A few `make' implementations (e.g., NonStop OS and NextStep)
+dnl A few 'make' implementations (e.g., NonStop OS and NextStep)
dnl do not support nested variable expansions.
dnl See automake bug#9928 and bug#10237.
am_make=${MAKE-make}
@@ -882,7 +862,7 @@ else
am_cv_make_support_nested_variables=no
fi])
if test $am_cv_make_support_nested_variables = yes; then
- dnl Using `$V' instead of `$(V)' breaks IRIX make.
+ dnl Using '$V' instead of '$(V)' breaks IRIX make.
AM_V='$(V)'
AM_DEFAULT_V='$(AM_DEFAULT_VERBOSITY)'
else
@@ -899,44 +879,40 @@ AC_SUBST([AM_BACKSLASH])dnl
_AM_SUBST_NOTMAKE([AM_BACKSLASH])dnl
])
-# Copyright (C) 2001, 2003, 2005, 2011 Free Software Foundation, Inc.
+# Copyright (C) 2001-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 1
-
# AM_PROG_INSTALL_STRIP
# ---------------------
-# One issue with vendor `install' (even GNU) is that you can't
+# One issue with vendor 'install' (even GNU) is that you can't
# specify the program used to strip binaries. This is especially
# annoying in cross-compiling environments, where the build's strip
# is unlikely to handle the host's binaries.
# Fortunately install-sh will honor a STRIPPROG variable, so we
-# always use install-sh in `make install-strip', and initialize
+# always use install-sh in "make install-strip", and initialize
# STRIPPROG with the value of the STRIP variable (set by the user).
AC_DEFUN([AM_PROG_INSTALL_STRIP],
[AC_REQUIRE([AM_PROG_INSTALL_SH])dnl
-# Installed binaries are usually stripped using `strip' when the user
-# run `make install-strip'. However `strip' might not be the right
+# Installed binaries are usually stripped using 'strip' when the user
+# run "make install-strip". However 'strip' might not be the right
# tool to use in cross-compilation environments, therefore Automake
-# will honor the `STRIP' environment variable to overrule this program.
-dnl Don't test for $cross_compiling = yes, because it might be `maybe'.
+# will honor the 'STRIP' environment variable to overrule this program.
+dnl Don't test for $cross_compiling = yes, because it might be 'maybe'.
if test "$cross_compiling" != no; then
AC_CHECK_TOOL([STRIP], [strip], :)
fi
INSTALL_STRIP_PROGRAM="\$(install_sh) -c -s"
AC_SUBST([INSTALL_STRIP_PROGRAM])])
-# Copyright (C) 2006, 2008, 2010 Free Software Foundation, Inc.
+# Copyright (C) 2006-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 3
-
# _AM_SUBST_NOTMAKE(VARIABLE)
# ---------------------------
# Prevent Automake from outputting VARIABLE = @VARIABLE@ in Makefile.in.
@@ -950,18 +926,16 @@ AC_DEFUN([AM_SUBST_NOTMAKE], [_AM_SUBST_NOTMAKE($@)])
# Check how to create a tarball. -*- Autoconf -*-
-# Copyright (C) 2004, 2005, 2012 Free Software Foundation, Inc.
+# Copyright (C) 2004-2012 Free Software Foundation, Inc.
#
# This file is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
-# serial 2
-
# _AM_PROG_TAR(FORMAT)
# --------------------
# Check how to create a tarball in format FORMAT.
-# FORMAT should be one of `v7', `ustar', or `pax'.
+# FORMAT should be one of 'v7', 'ustar', or 'pax'.
#
# Substitute a variable $(am__tar) that is a command
# writing to stdout a FORMAT-tarball containing the directory
@@ -984,7 +958,7 @@ AC_MSG_CHECKING([how to create a $1 tar archive])
_am_tools='gnutar m4_if([$1], [ustar], [plaintar]) pax cpio none'
_am_tools=${am_cv_prog_tar_$1-$_am_tools}
# Do not fold the above two line into one, because Tru64 sh and
-# Solaris sh will not grok spaces in the rhs of `-'.
+# Solaris sh will not grok spaces in the rhs of '-'.
for _am_tool in $_am_tools
do
case $_am_tool in
diff --git a/compile b/compile
index 7b4a9a7..718dc6d 100755
--- a/compile
+++ b/compile
@@ -1,7 +1,7 @@
#! /bin/sh
# Wrapper for compilers which do not understand '-c -o'.
-scriptversion=2012-03-05.13; # UTC
+scriptversion=2012-10-14.11; # UTC
# Copyright (C) 1999-2012 Free Software Foundation, Inc.
# Written by Tom Tromey <tromey at cygnus.com>.
@@ -112,6 +112,11 @@ func_cl_dashl ()
lib=$dir/$lib.lib
break
fi
+ if test -f "$dir/lib$lib.a"; then
+ found=yes
+ lib=$dir/lib$lib.a
+ break
+ fi
done
IFS=$save_IFS
diff --git a/config.guess b/config.guess
index aa04f04..872b96a 100755
--- a/config.guess
+++ b/config.guess
@@ -4,7 +4,7 @@
# 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010,
# 2011, 2012 Free Software Foundation, Inc.
-timestamp='2012-06-17'
+timestamp='2012-09-25'
# This file is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by
@@ -306,7 +306,7 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
arm:RISC*:1.[012]*:*|arm:riscix:1.[012]*:*)
echo arm-acorn-riscix${UNAME_RELEASE}
exit ;;
- arm:riscos:*:*|arm:RISCOS:*:*)
+ arm*:riscos:*:*|arm*:RISCOS:*:*)
echo arm-unknown-riscos
exit ;;
SR2?01:HI-UX/MPP:*:* | SR8000:HI-UX/MPP:*:*)
@@ -805,6 +805,9 @@ EOF
i*:CYGWIN*:*)
echo ${UNAME_MACHINE}-pc-cygwin
exit ;;
+ *:MINGW64*:*)
+ echo ${UNAME_MACHINE}-pc-mingw64
+ exit ;;
*:MINGW*:*)
echo ${UNAME_MACHINE}-pc-mingw32
exit ;;
@@ -1205,6 +1208,9 @@ EOF
BePC:Haiku:*:*) # Haiku running on Intel PC compatible.
echo i586-pc-haiku
exit ;;
+ x86_64:Haiku:*:*)
+ echo x86_64-unknown-haiku
+ exit ;;
SX-4:SUPER-UX:*:*)
echo sx4-nec-superux${UNAME_RELEASE}
exit ;;
@@ -1334,9 +1340,6 @@ EOF
exit ;;
esac
-#echo '(No uname command or uname output not recognized.)' 1>&2
-#echo "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" 1>&2
-
eval $set_cc_for_build
cat >$dummy.c <<EOF
#ifdef _SEQUENT_
diff --git a/config.sub b/config.sub
index aa2cf19..8df5511 100755
--- a/config.sub
+++ b/config.sub
@@ -4,7 +4,7 @@
# 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010,
# 2011, 2012 Free Software Foundation, Inc.
-timestamp='2012-06-17'
+timestamp='2012-12-06'
# This file is (in principle) common to ALL GNU software.
# The presence of a machine in this file suggests that SOME GNU software
@@ -123,7 +123,7 @@ esac
maybe_os=`echo $1 | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\2/'`
case $maybe_os in
nto-qnx* | linux-gnu* | linux-android* | linux-dietlibc | linux-newlib* | \
- linux-uclibc* | uclinux-uclibc* | uclinux-gnu* | kfreebsd*-gnu* | \
+ linux-musl* | linux-uclibc* | uclinux-uclibc* | uclinux-gnu* | kfreebsd*-gnu* | \
knetbsd*-gnu* | netbsd*-gnu* | \
kopensolaris*-gnu* | \
storm-chaos* | os2-emx* | rtmk-nova*)
@@ -156,7 +156,7 @@ case $os in
-convergent* | -ncr* | -news | -32* | -3600* | -3100* | -hitachi* |\
-c[123]* | -convex* | -sun | -crds | -omron* | -dg | -ultra | -tti* | \
-harris | -dolphin | -highlevel | -gould | -cbm | -ns | -masscomp | \
- -apple | -axis | -knuth | -cray | -microblaze)
+ -apple | -axis | -knuth | -cray | -microblaze*)
os=
basic_machine=$1
;;
@@ -259,8 +259,10 @@ case $basic_machine in
| alpha | alphaev[4-8] | alphaev56 | alphaev6[78] | alphapca5[67] \
| alpha64 | alpha64ev[4-8] | alpha64ev56 | alpha64ev6[78] | alpha64pca5[67] \
| am33_2.0 \
- | arc | arm | arm[bl]e | arme[lb] | armv[2345] | armv[345][lb] | avr | avr32 \
- | be32 | be64 \
+ | arc \
+ | arm | arm[bl]e | arme[lb] | armv[2-8] | armv[3-8][lb] | armv7[arm] \
+ | avr | avr32 \
+ | be32 | be64 \
| bfin \
| c4x | clipper \
| d10v | d30v | dlx | dsp16xx \
@@ -273,7 +275,7 @@ case $basic_machine in
| le32 | le64 \
| lm32 \
| m32c | m32r | m32rle | m68000 | m68k | m88k \
- | maxq | mb | microblaze | mcore | mep | metag \
+ | maxq | mb | microblaze | microblazeel | mcore | mep | metag \
| mips | mipsbe | mipseb | mipsel | mipsle \
| mips16 \
| mips64 | mips64el \
@@ -389,7 +391,8 @@ case $basic_machine in
| lm32-* \
| m32c-* | m32r-* | m32rle-* \
| m68000-* | m680[012346]0-* | m68360-* | m683?2-* | m68k-* \
- | m88110-* | m88k-* | maxq-* | mcore-* | metag-* | microblaze-* \
+ | m88110-* | m88k-* | maxq-* | mcore-* | metag-* \
+ | microblaze-* | microblazeel-* \
| mips-* | mipsbe-* | mipseb-* | mipsel-* | mipsle-* \
| mips16-* \
| mips64-* | mips64el-* \
@@ -788,9 +791,13 @@ case $basic_machine in
basic_machine=ns32k-utek
os=-sysv
;;
- microblaze)
+ microblaze*)
basic_machine=microblaze-xilinx
;;
+ mingw64)
+ basic_machine=x86_64-pc
+ os=-mingw64
+ ;;
mingw32)
basic_machine=i386-pc
os=-mingw32
@@ -1019,7 +1026,11 @@ case $basic_machine in
basic_machine=i586-unknown
os=-pw32
;;
- rdos)
+ rdos | rdos64)
+ basic_machine=x86_64-pc
+ os=-rdos
+ ;;
+ rdos32)
basic_machine=i386-pc
os=-rdos
;;
@@ -1359,8 +1370,8 @@ case $os in
| -udi* | -eabi* | -lites* | -ieee* | -go32* | -aux* \
| -chorusos* | -chorusrdb* | -cegcc* \
| -cygwin* | -msys* | -pe* | -psos* | -moss* | -proelf* | -rtems* \
- | -mingw32* | -linux-gnu* | -linux-android* \
- | -linux-newlib* | -linux-uclibc* \
+ | -mingw32* | -mingw64* | -linux-gnu* | -linux-android* \
+ | -linux-newlib* | -linux-musl* | -linux-uclibc* \
| -uxpv* | -beos* | -mpeix* | -udk* \
| -interix* | -uwin* | -mks* | -rhapsody* | -darwin* | -opened* \
| -openstep* | -oskit* | -conix* | -pw32* | -nonstopux* \
diff --git a/configure b/configure
index 11e5756..68d8ff5 100755
--- a/configure
+++ b/configure
@@ -1,6 +1,6 @@
#! /bin/sh
# Guess values for system-dependent variables and create Makefiles.
-# Generated by GNU Autoconf 2.68 for the Parma Polyhedra Library 1.0.
+# Generated by GNU Autoconf 2.68 for the Parma Polyhedra Library 1.1pre8.
#
# Report bugs to <ppl-devel at cs.unipr.it>.
#
@@ -570,8 +570,8 @@ MAKEFLAGS=
# Identity of this package.
PACKAGE_NAME='the Parma Polyhedra Library'
PACKAGE_TARNAME='ppl'
-PACKAGE_VERSION='1.0'
-PACKAGE_STRING='the Parma Polyhedra Library 1.0'
+PACKAGE_VERSION='1.1pre8'
+PACKAGE_STRING='the Parma Polyhedra Library 1.1pre8'
PACKAGE_BUGREPORT='ppl-devel at cs.unipr.it'
PACKAGE_URL=''
@@ -1501,7 +1501,7 @@ if test "$ac_init_help" = "long"; then
# Omit some internal or obsolete options to make the list less imposing.
# This message is too long to be a string in the A/UX 3.1 sh.
cat <<_ACEOF
-\`configure' configures the Parma Polyhedra Library 1.0 to adapt to many kinds of systems.
+\`configure' configures the Parma Polyhedra Library 1.1pre8 to adapt to many kinds of systems.
Usage: $0 [OPTION]... [VAR=VALUE]...
@@ -1571,7 +1571,7 @@ fi
if test -n "$ac_init_help"; then
case $ac_init_help in
- short | recursive ) echo "Configuration of the Parma Polyhedra Library 1.0:";;
+ short | recursive ) echo "Configuration of the Parma Polyhedra Library 1.1pre8:";;
esac
cat <<\_ACEOF
@@ -1579,10 +1579,12 @@ Optional Features:
--disable-option-checking ignore unrecognized --enable/--with options
--disable-FEATURE do not include FEATURE (same as --enable-FEATURE=no)
--enable-FEATURE[=ARG] include FEATURE [ARG=yes]
- --enable-silent-rules less verbose build output (undo: `make V=1')
- --disable-silent-rules verbose build output (undo: `make V=0')
- --disable-dependency-tracking speeds up one-time build
- --enable-dependency-tracking do not reject slow dependency extractors
+ --enable-silent-rules less verbose build output (undo: "make V=1")
+ --disable-silent-rules verbose build output (undo: "make V=0")
+ --enable-dependency-tracking
+ do not reject slow dependency extractors
+ --disable-dependency-tracking
+ speeds up one-time build
--enable-debugging compile with debugging information
--enable-profiling compile for profiling
--enable-coverage compile for test coverage
@@ -1714,7 +1716,7 @@ fi
test -n "$ac_init_help" && exit $ac_status
if $ac_init_version; then
cat <<\_ACEOF
-the Parma Polyhedra Library configure 1.0
+the Parma Polyhedra Library configure 1.1pre8
generated by GNU Autoconf 2.68
Copyright (C) 2010 Free Software Foundation, Inc.
@@ -2896,7 +2898,7 @@ cat >config.log <<_ACEOF
This file contains any messages produced by compilers while
running configure, to aid debugging if configure makes a mistake.
-It was created by the Parma Polyhedra Library $as_me 1.0, which was
+It was created by the Parma Polyhedra Library $as_me 1.1pre8, which was
generated by GNU Autoconf 2.68. Invocation command line was
$ $0 $@
@@ -3358,7 +3360,7 @@ case $host_os in *\ *) host_os=`echo "$host_os" | sed 's/ /-/g'`;; esac
# Use Automake.
-am__api_version='1.11'
+am__api_version='1.12'
# Find a good install program. We prefer a C program (faster),
# so one script is as good as another. But avoid the broken or
@@ -3455,9 +3457,6 @@ test -z "$INSTALL_DATA" && INSTALL_DATA='${INSTALL} -m 644'
{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether build environment is sane" >&5
$as_echo_n "checking whether build environment is sane... " >&6; }
-# Just in case
-sleep 1
-echo timestamp > conftest.file
# Reject unsafe characters in $srcdir or the absolute working directory
# name. Accept space and tab only in the latter.
am_lf='
@@ -3468,32 +3467,40 @@ case `pwd` in
esac
case $srcdir in
*[\\\"\#\$\&\'\`$am_lf\ \ ]*)
- as_fn_error $? "unsafe srcdir value: \`$srcdir'" "$LINENO" 5;;
+ as_fn_error $? "unsafe srcdir value: '$srcdir'" "$LINENO" 5;;
esac
-# Do `set' in a subshell so we don't clobber the current shell's
+# Do 'set' in a subshell so we don't clobber the current shell's
# arguments. Must try -L first in case configure is actually a
# symlink; some systems play weird games with the mod time of symlinks
# (eg FreeBSD returns the mod time of the symlink's containing
# directory).
if (
- set X `ls -Lt "$srcdir/configure" conftest.file 2> /dev/null`
- if test "$*" = "X"; then
- # -L didn't work.
- set X `ls -t "$srcdir/configure" conftest.file`
- fi
- rm -f conftest.file
- if test "$*" != "X $srcdir/configure conftest.file" \
- && test "$*" != "X conftest.file $srcdir/configure"; then
-
- # If neither matched, then we have a broken ls. This can happen
- # if, for instance, CONFIG_SHELL is bash and it inherits a
- # broken ls alias from the environment. This has actually
- # happened. Such a system could not be considered "sane".
- as_fn_error $? "ls -t appears to fail. Make sure there is not a broken
-alias in your environment" "$LINENO" 5
- fi
-
+ am_has_slept=no
+ for am_try in 1 2; do
+ echo "timestamp, slept: $am_has_slept" > conftest.file
+ set X `ls -Lt "$srcdir/configure" conftest.file 2> /dev/null`
+ if test "$*" = "X"; then
+ # -L didn't work.
+ set X `ls -t "$srcdir/configure" conftest.file`
+ fi
+ if test "$*" != "X $srcdir/configure conftest.file" \
+ && test "$*" != "X conftest.file $srcdir/configure"; then
+
+ # If neither matched, then we have a broken ls. This can happen
+ # if, for instance, CONFIG_SHELL is bash and it inherits a
+ # broken ls alias from the environment. This has actually
+ # happened. Such a system could not be considered "sane".
+ as_fn_error $? "ls -t appears to fail. Make sure there is not a broken
+ alias in your environment" "$LINENO" 5
+ fi
+ if test "$2" = conftest.file || test $am_try -eq 2; then
+ break
+ fi
+ # Just in case.
+ sleep 1
+ am_has_slept=yes
+ done
test "$2" = conftest.file
)
then
@@ -3505,6 +3512,16 @@ Check your system clock" "$LINENO" 5
fi
{ $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5
$as_echo "yes" >&6; }
+# If we didn't sleep, we still need to ensure time stamps of config.status and
+# generated files are strictly newer.
+am_sleep_pid=
+if grep 'slept: no' conftest.file >/dev/null 2>&1; then
+ ( sleep 1 ) &
+ am_sleep_pid=$!
+fi
+
+rm -f conftest.file
+
test "$program_prefix" != NONE &&
program_transform_name="s&^&$program_prefix&;$program_transform_name"
# Use a double $ so make ignores it.
@@ -3531,8 +3548,8 @@ if eval "$MISSING --run true"; then
am_missing_run="$MISSING --run "
else
am_missing_run=
- { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: \`missing' script is too old or missing" >&5
-$as_echo "$as_me: WARNING: \`missing' script is too old or missing" >&2;}
+ { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 'missing' script is too old or missing" >&5
+$as_echo "$as_me: WARNING: 'missing' script is too old or missing" >&2;}
fi
if test x"${install_sh}" != xset; then
@@ -3544,10 +3561,10 @@ if test x"${install_sh}" != xset; then
esac
fi
-# Installed binaries are usually stripped using `strip' when the user
-# run `make install-strip'. However `strip' might not be the right
+# Installed binaries are usually stripped using 'strip' when the user
+# run "make install-strip". However 'strip' might not be the right
# tool to use in cross-compilation environments, therefore Automake
-# will honor the `STRIP' environment variable to overrule this program.
+# will honor the 'STRIP' environment variable to overrule this program.
if test "$cross_compiling" != no; then
if test -n "$ac_tool_prefix"; then
# Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args.
@@ -3686,12 +3703,6 @@ fi
{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $MKDIR_P" >&5
$as_echo "$MKDIR_P" >&6; }
-mkdir_p="$MKDIR_P"
-case $mkdir_p in
- [\\/$]* | ?:[\\/]*) ;;
- */*) mkdir_p="\$(top_builddir)/$mkdir_p" ;;
-esac
-
for ac_prog in gawk mawk nawk awk
do
# Extract the first word of "$ac_prog", so it can be a program name with args.
@@ -3779,10 +3790,10 @@ if test "${enable_silent_rules+set}" = set; then :
enableval=$enable_silent_rules;
fi
-case $enable_silent_rules in
-yes) AM_DEFAULT_VERBOSITY=0;;
-no) AM_DEFAULT_VERBOSITY=1;;
-*) AM_DEFAULT_VERBOSITY=1;;
+case $enable_silent_rules in # (((
+ yes) AM_DEFAULT_VERBOSITY=0;;
+ no) AM_DEFAULT_VERBOSITY=1;;
+ *) AM_DEFAULT_VERBOSITY=1;;
esac
am_make=${MAKE-make}
{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $am_make supports nested variables" >&5
@@ -3835,7 +3846,7 @@ fi
# Define the identity of the package.
PACKAGE='ppl'
- VERSION='1.0'
+ VERSION='1.1pre8'
# Some tools Automake needs.
@@ -3854,6 +3865,12 @@ AUTOHEADER=${AUTOHEADER-"${am_missing_run}autoheader"}
MAKEINFO=${MAKEINFO-"${am_missing_run}makeinfo"}
+# For better backward compatibility. To be removed once Automake 1.9.x
+# dies out for good. For more background, see:
+# <http://lists.gnu.org/archive/html/automake/2012-07/msg00001.html>
+# <http://lists.gnu.org/archive/html/automake/2012-07/msg00014.html>
+mkdir_p='$(MKDIR_P)'
+
# We need awk for the "check" target. The system "awk" is bad on
# some platforms.
# Always define AMTAR for backward compatibility. Yes, it's still used
@@ -3867,7 +3884,7 @@ $as_echo_n "checking how to create a ustar tar archive... " >&6; }
_am_tools='gnutar plaintar pax cpio none'
_am_tools=${am_cv_prog_tar_ustar-$_am_tools}
# Do not fold the above two line into one, because Tru64 sh and
-# Solaris sh will not grok spaces in the rhs of `-'.
+# Solaris sh will not grok spaces in the rhs of '-'.
for _am_tool in $_am_tools
do
case $_am_tool in
@@ -4824,7 +4841,7 @@ am__quote=
_am_result=none
# First try GNU make style include.
echo "include confinc" > confmf
-# Ignore all kinds of additional output from `make'.
+# Ignore all kinds of additional output from 'make'.
case `$am_make -s -f confmf 2> /dev/null` in #(
*the\ am__doit\ target*)
am__include=include
@@ -4880,8 +4897,8 @@ else
# We make a subdir and do the tests there. Otherwise we can end up
# making bogus files that we don't know about and never remove. For
# instance it was reported that on HP-UX the gcc test will end up
- # making a dummy file named `D' -- because `-MD' means `put the output
- # in D'.
+ # making a dummy file named 'D' -- because '-MD' means "put the output
+ # in D".
rm -rf conftest.dir
mkdir conftest.dir
# Copy depcomp to subdir because otherwise we won't find it if we're
@@ -4916,16 +4933,16 @@ else
: > sub/conftest.c
for i in 1 2 3 4 5 6; do
echo '#include "conftst'$i'.h"' >> sub/conftest.c
- # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with
- # Solaris 8's {/usr,}/bin/sh.
- touch sub/conftst$i.h
+ # Using ": > sub/conftst$i.h" creates only sub/conftst1.h with
+ # Solaris 10 /bin/sh.
+ echo '/* dummy */' > sub/conftst$i.h
done
echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf
- # We check with `-c' and `-o' for the sake of the "dashmstdout"
+ # We check with '-c' and '-o' for the sake of the "dashmstdout"
# mode. It turns out that the SunPro C++ compiler does not properly
- # handle `-M -o', and we need to detect this. Also, some Intel
- # versions had trouble with output in subdirs
+ # handle '-M -o', and we need to detect this. Also, some Intel
+ # versions had trouble with output in subdirs.
am__obj=sub/conftest.${OBJEXT-o}
am__minus_obj="-o $am__obj"
case $depmode in
@@ -4934,8 +4951,8 @@ else
test "$am__universal" = false || continue
;;
nosideeffect)
- # after this tag, mechanisms are not by side-effect, so they'll
- # only be used when explicitly requested
+ # After this tag, mechanisms are not by side-effect, so they'll
+ # only be used when explicitly requested.
if test "x$enable_dependency_tracking" = xyes; then
continue
else
@@ -4943,7 +4960,7 @@ else
fi
;;
msvc7 | msvc7msys | msvisualcpp | msvcmsys)
- # This compiler won't grok `-c -o', but also, the minuso test has
+ # This compiler won't grok '-c -o', but also, the minuso test has
# not run yet. These depmodes are late enough in the game, and
# so weak that their functioning should not be impacted.
am__obj=conftest.${OBJEXT-o}
@@ -5058,8 +5075,8 @@ fi
# The clang compiler masquerades as gcc, but we want to know.
if test x"$GCC" = xyes
then
- { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are actually using Clang" >&5
-$as_echo_n "checking whether we are actually using Clang... " >&6; }
+ { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are actually using clang" >&5
+$as_echo_n "checking whether we are actually using clang... " >&6; }
ac_ext=c
ac_cpp='$CPP $CPPFLAGS'
ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
@@ -5092,6 +5109,46 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu
fi
+# The llvm-gcc compiler masquerades as gcc, but we want to know.
+if test x"$GCC" = xyes
+then
+ { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are actually using llvm-gcc" >&5
+$as_echo_n "checking whether we are actually using llvm-gcc... " >&6; }
+ ac_ext=c
+ac_cpp='$CPP $CPPFLAGS'
+ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_c_compiler_gnu
+
+ save_CFLAGS="$CFLAGS"
+ CFLAGS="-fplugin-arg-dragonegg-emit-ir -S"
+ cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h. */
+
+int main() {
+ return 0;
+}
+
+_ACEOF
+if ac_fn_c_try_compile "$LINENO"; then :
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5
+$as_echo "yes" >&6; }
+ LLVM_GCC=yes
+else
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5
+$as_echo "no" >&6; }
+ LLVM_GCC=no
+fi
+rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext
+ CFLAGS="$save_CFLAGS"
+ ac_ext=c
+ac_cpp='$CPP $CPPFLAGS'
+ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_c_compiler_gnu
+
+fi
+
save_CXXFLAGS="$CXXFLAGS"
ac_ext=cpp
ac_cpp='$CXXCPP $CPPFLAGS'
@@ -5361,8 +5418,8 @@ else
# We make a subdir and do the tests there. Otherwise we can end up
# making bogus files that we don't know about and never remove. For
# instance it was reported that on HP-UX the gcc test will end up
- # making a dummy file named `D' -- because `-MD' means `put the output
- # in D'.
+ # making a dummy file named 'D' -- because '-MD' means "put the output
+ # in D".
rm -rf conftest.dir
mkdir conftest.dir
# Copy depcomp to subdir because otherwise we won't find it if we're
@@ -5397,16 +5454,16 @@ else
: > sub/conftest.c
for i in 1 2 3 4 5 6; do
echo '#include "conftst'$i'.h"' >> sub/conftest.c
- # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with
- # Solaris 8's {/usr,}/bin/sh.
- touch sub/conftst$i.h
+ # Using ": > sub/conftst$i.h" creates only sub/conftst1.h with
+ # Solaris 10 /bin/sh.
+ echo '/* dummy */' > sub/conftst$i.h
done
echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf
- # We check with `-c' and `-o' for the sake of the "dashmstdout"
+ # We check with '-c' and '-o' for the sake of the "dashmstdout"
# mode. It turns out that the SunPro C++ compiler does not properly
- # handle `-M -o', and we need to detect this. Also, some Intel
- # versions had trouble with output in subdirs
+ # handle '-M -o', and we need to detect this. Also, some Intel
+ # versions had trouble with output in subdirs.
am__obj=sub/conftest.${OBJEXT-o}
am__minus_obj="-o $am__obj"
case $depmode in
@@ -5415,8 +5472,8 @@ else
test "$am__universal" = false || continue
;;
nosideeffect)
- # after this tag, mechanisms are not by side-effect, so they'll
- # only be used when explicitly requested
+ # After this tag, mechanisms are not by side-effect, so they'll
+ # only be used when explicitly requested.
if test "x$enable_dependency_tracking" = xyes; then
continue
else
@@ -5424,7 +5481,7 @@ else
fi
;;
msvc7 | msvc7msys | msvisualcpp | msvcmsys)
- # This compiler won't grok `-c -o', but also, the minuso test has
+ # This compiler won't grok '-c -o', but also, the minuso test has
# not run yet. These depmodes are late enough in the game, and
# so weak that their functioning should not be impacted.
am__obj=conftest.${OBJEXT-o}
@@ -5555,6 +5612,47 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu
fi
+# The llvm-++ compiler masquerades as g++, but we want to know.
+if test x"$GXX" = xyes
+then
+ { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are actually using llvm-g++" >&5
+$as_echo_n "checking whether we are actually using llvm-g++... " >&6; }
+ ac_ext=cpp
+ac_cpp='$CXXCPP $CPPFLAGS'
+ac_compile='$CXX -c $CXXFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CXX -o conftest$ac_exeext $CXXFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_cxx_compiler_gnu
+
+ save_CXXFLAGS="$CXXFLAGS"
+ CXXFLAGS="-fplugin-arg-dragonegg-emit-ir -S"
+ cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h. */
+
+int main() {
+ return 0;
+}
+
+_ACEOF
+if ac_fn_cxx_try_compile "$LINENO"; then :
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5
+$as_echo "yes" >&6; }
+ LLVM_GXX=yes
+else
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5
+$as_echo "no" >&6; }
+ LLVM_GXX=no
+fi
+rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext
+ CXXFLAGS="$save_CXXFLAGS"
+ ac_ext=c
+ac_cpp='$CPP $CPPFLAGS'
+ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_c_compiler_gnu
+
+fi
+
+
{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for grep that handles long lines and -e" >&5
$as_echo_n "checking for grep that handles long lines and -e... " >&6; }
if ${ac_cv_path_GREP+:} false; then :
@@ -6318,21 +6416,20 @@ then
then
OPT_FLAGS="$OPT_FLAGS -fp-model strict -fp-speculation off"
else
- # -frounding-math is not yet supported in clang++, if we use it we get
- # lots of warnings.
- if test x"$CLANGXX" = xyes
+ # -frounding-math is not yet supported in clang++ or llvm-g++.
+ if test x"$CLANGXX" = xyes || x"$LLVM_GXX" = xyes
then
if test x"$use_fpmath" = xyes
then
{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: CANNOT RELY ON DIRECTED ROUNDING:
*** DISABLED ALL ABSTRACTIONS BASED ON MACHINE FLOATING-POINT NUMBERS.
-*** clang++ has been detected, which does not provide support for
+*** A compiler has been detected that does not provide support for
*** -frounding-math (or any other option with the same semantics).
*** Hence, we cannot rely on floating-point computations to happen
*** in agreement with the rounding direction(s) used by the PPL." >&5
$as_echo "$as_me: WARNING: CANNOT RELY ON DIRECTED ROUNDING:
*** DISABLED ALL ABSTRACTIONS BASED ON MACHINE FLOATING-POINT NUMBERS.
-*** clang++ has been detected, which does not provide support for
+*** A compiler has been detected that does not provide support for
*** -frounding-math (or any other option with the same semantics).
*** Hence, we cannot rely on floating-point computations to happen
*** in agreement with the rounding direction(s) used by the PPL." >&2;}
@@ -8751,7 +8848,46 @@ fi
{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cxx_long_double_binary_format" >&5
$as_echo "$ac_cxx_long_double_binary_format" >&6; }
-if test x"$ac_cxx_long_double_binary_format" = x"unknown" || test $ac_cv_can_control_fpu = 0
+{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether std::floor(long double) is buggy" >&5
+$as_echo_n "checking whether std::floor(long double) is buggy... " >&6; }
+if test "$cross_compiling" = yes; then :
+ ac_std_floor_long_double_is_buggy=no
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: assuming is not" >&5
+$as_echo "assuming is not" >&6; }
+else
+ cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h. */
+#include <cmath>
+#include <cstdlib>
+
+long double x = 13311002825915415087.0L;
+
+int main() {
+ long double y = std::floor(x);
+ if (x != y)
+ return 1;
+ else
+ return 0;
+}
+
+_ACEOF
+if ac_fn_cxx_try_run "$LINENO"; then :
+ ac_std_floor_long_double_is_buggy=no
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5
+$as_echo "no" >&6; }
+else
+ ac_std_floor_long_double_is_buggy=yes
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5
+$as_echo "yes" >&6; }
+fi
+rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \
+ conftest.$ac_objext conftest.beam conftest.$ac_ext
+fi
+
+
+if test x"$ac_cxx_long_double_binary_format" = x"unknown" \
+|| test $ac_cv_can_control_fpu = 0 \
+|| test x"$ac_std_floor_long_double_is_buggy" = x"yes"
then
ac_supported_long_double=0
else
@@ -9949,7 +10085,7 @@ $as_echo "${available_interfaces}" >&6; }
enableval=${default_interfaces}
fi
# Make the list blank-separated and lowercase; turn "c++" into "cxx".
- required_interfaces=`echo "${enableval}" | sed -e 's/-/_/g' -e 's/[ ,][ ,]*/ /g' -e 's/c++/cxx/g' | tr '[:upper:]' '[:lower:]'`
+ required_interfaces=`echo "${enableval}" | sed -e 's/-/_/g' -e 's/[ ,][ ,]*/ /g' -e 's/c++/cxx/g' | tr '[:upper:]' '[:lower:]'`
# Check that the specified interfaces exist.
for interface in ${required_interfaces}
do
@@ -10151,7 +10287,7 @@ else
JAVA_TEST=Test.java
CLASS_TEST=Test.class
cat << \EOF > $JAVA_TEST
-/* #line 10154 "configure" */
+/* #line 10290 "configure" */
public class Test {
public enum Relation_Symbol {
/*! Less than. */
@@ -10342,7 +10478,7 @@ EOF
if uudecode$EXEEXT Test.uue; then
ac_cv_prog_uudecode_base64=yes
else
- echo "configure: 10345: uudecode had trouble decoding base 64 file 'Test.uue'" >&5
+ echo "configure: 10481: uudecode had trouble decoding base 64 file 'Test.uue'" >&5
echo "configure: failed file was:" >&5
cat Test.uue >&5
ac_cv_prog_uudecode_base64=no
@@ -10461,7 +10597,7 @@ else
JAVA_TEST=Test.java
CLASS_TEST=Test.class
cat << \EOF > $JAVA_TEST
-/* #line 10464 "configure" */
+/* #line 10600 "configure" */
public class Test {
public enum Relation_Symbol {
/*! Less than. */
@@ -10510,7 +10646,7 @@ JAVA_TEST=Test.java
CLASS_TEST=Test.class
TEST=Test
cat << \EOF > $JAVA_TEST
-/* [#]line 10513 "configure" */
+/* [#]line 10649 "configure" */
public class Test {
public static void main (String args[]) {
System.exit (0);
@@ -11806,7 +11942,7 @@ $as_echo "yes" >&6; }
else
{ $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5
$as_echo "no" >&6; }
- ocamlopt_gmp="no"
+ ocamlopt_gmp="no"
fi
fi
fi
@@ -12911,7 +13047,7 @@ $as_echo "none" >&6; }
enableval=${available_instantiations}
fi
# Avoid extra blanks.
- required_instantiations=`echo "${enableval}" | sed -e 's/[ ][ ]*/ /g' -e 's/[ ]*\([@<>,]\)/\1/g' -e 's/\([@<>,]\)[ ]*/\1/g' -e 's/>>/> >/g' -e 's/^[ ]//g' -e 's/[ ]$//g'`
+ required_instantiations=`echo "${enableval}" | sed -e 's/[ ][ ]*/ /g' -e 's/[ ]*\([@<>,]\)/\1/g' -e 's/\([@<>,]\)[ ]*/\1/g' -e 's/>>/> >/g' -e 's/^[ ]//g' -e 's/[ ]$//g'`
# Check the specified instantiations for validity.
ac_save_CPPFLAGS="$CPPFLAGS"
CPPFLAGS="$CPPFLAGS -I${srcdir} ${gmp_include_options}"
@@ -23943,6 +24079,14 @@ LIBOBJS=$ac_libobjs
LTLIBOBJS=$ac_ltlibobjs
+{ $as_echo "$as_me:${as_lineno-$LINENO}: checking that generated files are newer than configure" >&5
+$as_echo_n "checking that generated files are newer than configure... " >&6; }
+ if test -n "$am_sleep_pid"; then
+ # Hide warnings about reused PIDs.
+ wait $am_sleep_pid 2>/dev/null
+ fi
+ { $as_echo "$as_me:${as_lineno-$LINENO}: result: done" >&5
+$as_echo "done" >&6; }
if test -n "$EXEEXT"; then
am__EXEEXT_TRUE=
am__EXEEXT_FALSE='#'
@@ -24565,7 +24709,7 @@ cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1
# report actual input values of CONFIG_FILES etc. instead of their
# values after options handling.
ac_log="
-This file was extended by the Parma Polyhedra Library $as_me 1.0, which was
+This file was extended by the Parma Polyhedra Library $as_me 1.1pre8, which was
generated by GNU Autoconf 2.68. Invocation command line was
CONFIG_FILES = $CONFIG_FILES
@@ -24631,7 +24775,7 @@ _ACEOF
cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1
ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`"
ac_cs_version="\\
-the Parma Polyhedra Library config.status 1.0
+the Parma Polyhedra Library config.status 1.1pre8
configured by $0, generated by GNU Autoconf 2.68,
with options \\"\$ac_cs_config\\"
@@ -25799,7 +25943,7 @@ $as_echo "$as_me: executing $ac_file commands" >&6;}
# Strip MF so we end up with the name of the file.
mf=`echo "$mf" | sed -e 's/:.*$//'`
# Check whether this is an Automake generated Makefile or not.
- # We used to match only the files named `Makefile.in', but
+ # We used to match only the files named 'Makefile.in', but
# some people rename them; so instead we look at the file content.
# Grep'ing the first line is not enough: some people post-process
# each Makefile.in and add a new line on top of each file to say so.
@@ -25833,21 +25977,19 @@ $as_echo X"$mf" |
continue
fi
# Extract the definition of DEPDIR, am__include, and am__quote
- # from the Makefile without running `make'.
+ # from the Makefile without running 'make'.
DEPDIR=`sed -n 's/^DEPDIR = //p' < "$mf"`
test -z "$DEPDIR" && continue
am__include=`sed -n 's/^am__include = //p' < "$mf"`
test -z "am__include" && continue
am__quote=`sed -n 's/^am__quote = //p' < "$mf"`
- # When using ansi2knr, U may be empty or an underscore; expand it
- U=`sed -n 's/^U = //p' < "$mf"`
# Find all dependency output files, they are included files with
# $(DEPDIR) in their names. We invoke sed twice because it is the
# simplest approach to changing $(DEPDIR) to its actual value in the
# expansion.
for file in `sed -n "
s/^$am__include $am__quote\(.*(DEPDIR).*\)$am__quote"'$/\1/p' <"$mf" | \
- sed -e 's/\$(DEPDIR)/'"$DEPDIR"'/g' -e 's/\$U/'"$U"'/g'`; do
+ sed -e 's/\$(DEPDIR)/'"$DEPDIR"'/g'`; do
# Make sure the directory exists.
test -f "$dirpart/$file" && continue
fdir=`$as_dirname -- "$file" ||
diff --git a/configure.ac b/configure.ac
index 2750ba6..bc97704 100644
--- a/configure.ac
+++ b/configure.ac
@@ -1,6 +1,6 @@
# Autoconf source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -24,7 +24,7 @@
# Process this file with Autoconf to produce a configure script.
# Every other copy of the package version number gets its value from here.
-AC_INIT([the Parma Polyhedra Library], [1.0], [ppl-devel at cs.unipr.it], [ppl])
+AC_INIT([the Parma Polyhedra Library], [1.1pre8], [ppl-devel at cs.unipr.it], [ppl])
# Minimum Autoconf version required.
AC_PREREQ(2.61)
@@ -178,7 +178,7 @@ AM_CONDITIONAL(ICC, test x"$ICC" = xyes)
# The clang compiler masquerades as gcc, but we want to know.
if test x"$GCC" = xyes
then
- AC_MSG_CHECKING([whether we are actually using Clang])
+ AC_MSG_CHECKING([whether we are actually using clang])
AC_LANG_PUSH(C)
AC_COMPILE_IFELSE([AC_LANG_SOURCE([[
#ifndef __clang__
@@ -194,6 +194,28 @@ choke me
AC_LANG_POP(C)
fi
+# The llvm-gcc compiler masquerades as gcc, but we want to know.
+if test x"$GCC" = xyes
+then
+ AC_MSG_CHECKING([whether we are actually using llvm-gcc])
+ AC_LANG_PUSH(C)
+ save_CFLAGS="$CFLAGS"
+ CFLAGS="-fplugin-arg-dragonegg-emit-ir -S"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([[
+int main() {
+ return 0;
+}
+]])],
+ AC_MSG_RESULT(yes)
+ LLVM_GCC=yes,
+ AC_MSG_RESULT(no)
+ LLVM_GCC=no,
+ AC_MSG_RESULT(no)
+ LLVM_GCC=no)
+ CFLAGS="$save_CFLAGS"
+ AC_LANG_POP(C)
+fi
+
save_CXXFLAGS="$CXXFLAGS"
AC_PROG_CXX
CXXFLAGS="$save_CXXFLAGS"
@@ -236,6 +258,29 @@ choke me
AC_LANG_POP(C++)
fi
+# The llvm-++ compiler masquerades as g++, but we want to know.
+if test x"$GXX" = xyes
+then
+ AC_MSG_CHECKING([whether we are actually using llvm-g++])
+ AC_LANG_PUSH(C++)
+ save_CXXFLAGS="$CXXFLAGS"
+ CXXFLAGS="-fplugin-arg-dragonegg-emit-ir -S"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([[
+int main() {
+ return 0;
+}
+]])],
+ AC_MSG_RESULT(yes)
+ LLVM_GXX=yes,
+ AC_MSG_RESULT(no)
+ LLVM_GXX=no,
+ AC_MSG_RESULT(no)
+ LLVM_GXX=no)
+ CXXFLAGS="$save_CXXFLAGS"
+ AC_LANG_POP(C++)
+fi
+
+
AC_PROG_FGREP
AC_PROG_EGREP
AC_PROG_SED
@@ -492,15 +537,14 @@ then
then
OPT_FLAGS="$OPT_FLAGS -fp-model strict -fp-speculation off"
else
- # -frounding-math is not yet supported in clang++, if we use it we get
- # lots of warnings.
- if test x"$CLANGXX" = xyes
+ # -frounding-math is not yet supported in clang++ or llvm-g++.
+ if test x"$CLANGXX" = xyes || x"$LLVM_GXX" = xyes
then
if test x"$use_fpmath" = xyes
then
AC_MSG_WARN([CANNOT RELY ON DIRECTED ROUNDING:
*** DISABLED ALL ABSTRACTIONS BASED ON MACHINE FLOATING-POINT NUMBERS.
-*** clang++ has been detected, which does not provide support for
+*** A compiler has been detected that does not provide support for
*** -frounding-math (or any other option with the same semantics).
*** Hence, we cannot rely on floating-point computations to happen
*** in agreement with the rounding direction(s) used by the PPL.])
@@ -957,7 +1001,7 @@ xall)
enableval=${default_interfaces}
fi
# Make the list blank-separated and lowercase; turn "c++" into "cxx".
- required_interfaces=`echo "${enableval}" | sed -e 's/-/_/g' -e 's/[[ ,]][[ ,]]*/ /g' -e 's/c++/cxx/g' | tr '[[:upper:]]' '[[:lower:]]'`
+ required_interfaces=`echo "${enableval}" | sed -e 's/-/_/g' -e 's/[[ ,]][[ ,]]*/ /g' -e 's/c++/cxx/g' | tr '[[:upper:]]' '[[:lower:]]'`
# Check that the specified interfaces exist.
for interface in ${required_interfaces}
do
@@ -1114,7 +1158,7 @@ then
ocamlopt_gmp="yes"
else
AC_MSG_RESULT(no)
- ocamlopt_gmp="no"
+ ocamlopt_gmp="no"
fi
fi
fi
@@ -1348,7 +1392,7 @@ xno | xnone)
enableval=${available_instantiations}
fi
# Avoid extra blanks.
- required_instantiations=`echo "${enableval}" | sed -e 's/[[ ]][[ ]]*/ /g' -e 's/[[ ]]*\([[@<>,]]\)/\1/g' -e 's/\([[@<>,]]\)[[ ]]*/\1/g' -e 's/>>/> >/g' -e 's/^[[ ]]//g' -e 's/[[ ]]$//g'`
+ required_instantiations=`echo "${enableval}" | sed -e 's/[[ ]][[ ]]*/ /g' -e 's/[[ ]]*\([[@<>,]]\)/\1/g' -e 's/\([[@<>,]]\)[[ ]]*/\1/g' -e 's/>>/> >/g' -e 's/^[[ ]]//g' -e 's/[[ ]]$//g'`
# Check the specified instantiations for validity.
ac_save_CPPFLAGS="$CPPFLAGS"
CPPFLAGS="$CPPFLAGS -I${srcdir} ${gmp_include_options}"
@@ -1642,12 +1686,12 @@ AC_CONFIG_FILES(Makefile
interfaces/C/Makefile
interfaces/C/ppl_c_version.h
interfaces/C/tests/Makefile
- interfaces/Java/Makefile
- interfaces/Java/jni/Makefile
- interfaces/Java/tests/Makefile
+ interfaces/Java/Makefile
+ interfaces/Java/jni/Makefile
+ interfaces/Java/tests/Makefile
interfaces/Java/parma_polyhedra_library/Makefile
- interfaces/OCaml/Makefile
- interfaces/OCaml/tests/Makefile
+ interfaces/OCaml/Makefile
+ interfaces/OCaml/tests/Makefile
interfaces/Prolog/Makefile
interfaces/Prolog/Ciao/Makefile
interfaces/Prolog/GNU/Makefile
diff --git a/demos/Makefile.am b/demos/Makefile.am
index e740daf..646b0dd 100644
--- a/demos/Makefile.am
+++ b/demos/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/demos/Makefile.in b/demos/Makefile.in
index 51264ce..aeb446f 100644
--- a/demos/Makefile.in
+++ b/demos/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -57,7 +73,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = demos
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -90,12 +107,18 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -105,6 +128,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
AM_RECURSIVE_TARGETS = $(RECURSIVE_TARGETS:-recursive=) \
@@ -376,12 +404,12 @@ clean-libtool:
-rm -rf .libs _libs
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -391,7 +419,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -405,37 +437,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -444,6 +445,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -507,6 +512,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -542,13 +561,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -669,22 +685,23 @@ ps-am:
uninstall-am:
-.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) ctags-recursive \
- install-am install-strip tags-recursive
+.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) \
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-generic clean-libtool \
- ctags ctags-recursive distclean distclean-generic \
- distclean-libtool distclean-tags distdir dvi dvi-am html \
- html-am info info-am install install-am install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-pdf install-pdf-am \
- install-ps install-ps-am install-strip installcheck \
- installcheck-am installdirs installdirs-am maintainer-clean \
- maintainer-clean-generic mostlyclean mostlyclean-generic \
- mostlyclean-libtool pdf pdf-am ps ps-am tags tags-recursive \
- uninstall uninstall-am
+ cscopelist cscopelist-recursive ctags ctags-recursive \
+ distclean distclean-generic distclean-libtool distclean-tags \
+ distdir dvi dvi-am html html-am info info-am install \
+ install-am install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-info install-info-am install-man \
+ install-pdf install-pdf-am install-ps install-ps-am \
+ install-strip installcheck installcheck-am installdirs \
+ installdirs-am maintainer-clean maintainer-clean-generic \
+ mostlyclean mostlyclean-generic mostlyclean-libtool pdf pdf-am \
+ ps ps-am tags tags-recursive uninstall uninstall-am
# Tell versions [3.59,3.63) of GNU make to not export all variables.
diff --git a/demos/ppl_lcdd/Makefile.am b/demos/ppl_lcdd/Makefile.am
index c85841c..2d2c462 100644
--- a/demos/ppl_lcdd/Makefile.am
+++ b/demos/ppl_lcdd/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -43,14 +43,16 @@ polka_lcdd.o: $(srcdir)/ppl_lcdd.cc $(top_builddir)/utils/libppl_utils.a
$(CXXCOMPILE) -c -o $@ -DUSE_POLKA $(srcdir)/ppl_lcdd.cc
polka_lcdd: polka_lcdd.o
- $(CXXLINK) $< -lpolkag -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
+ $(CXXLINK) polka_lcdd.o \
+ -lpolkag -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
polylib_lcdd.o: $(srcdir)/ppl_lcdd.cc
$(CXXCOMPILE) -c -o $@ -DUSE_POLYLIB $(srcdir)/ppl_lcdd.cc
polylib_lcdd: polylib_lcdd.o $(top_builddir)/utils/libppl_utils.a
- $(CXXLINK) $< -lpolylibgmp -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
+ $(CXXLINK) polylib_lcdd.o \
+ -lpolylibgmp -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
EXTRA_DIST = \
expected_mpz \
diff --git a/demos/ppl_lcdd/Makefile.in b/demos/ppl_lcdd/Makefile.in
index 1fba06f..14f4f89 100644
--- a/demos/ppl_lcdd/Makefile.in
+++ b/demos/ppl_lcdd/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ host_triplet = @host@
bin_PROGRAMS = ppl_lcdd$(EXEEXT)
subdir = demos/ppl_lcdd
DIST_COMMON = $(dist_man_MANS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -102,6 +119,19 @@ ppl_lcdd_DEPENDENCIES = $(top_builddir)/src/libppl.la \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -114,20 +144,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(ppl_lcdd_SOURCES)
DIST_SOURCES = $(ppl_lcdd_SOURCES)
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -137,6 +163,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -491,8 +522,11 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -572,11 +606,18 @@ clean-libtool:
-rm -rf .libs _libs
install-man1: $(dist_man_MANS)
@$(NORMAL_INSTALL)
- test -z "$(man1dir)" || $(MKDIR_P) "$(DESTDIR)$(man1dir)"
- @list=''; test -n "$(man1dir)" || exit 0; \
- { for i in $$list; do echo "$$i"; done; \
- l2='$(dist_man_MANS)'; for i in $$l2; do echo "$$i"; done | \
- sed -n '/\.1[a-z]*$$/p'; \
+ @list1=''; \
+ list2='$(dist_man_MANS)'; \
+ test -n "$(man1dir)" \
+ && test -n "`echo $$list1$$list2`" \
+ || exit 0; \
+ echo " $(MKDIR_P) '$(DESTDIR)$(man1dir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(man1dir)" || exit 1; \
+ { for i in $$list1; do echo "$$i"; done; \
+ if test -n "$$list2"; then \
+ for i in $$list2; do echo "$$i"; done \
+ | sed -n '/\.1[a-z]*$$/p'; \
+ fi; \
} | while read p; do \
if test -f $$p; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; echo "$$p"; \
@@ -608,12 +649,12 @@ uninstall-man1:
dir='$(DESTDIR)$(man1dir)'; $(am__uninstall_files_from_dir)
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -623,7 +664,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -637,37 +682,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -676,6 +690,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -739,6 +757,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -749,10 +781,10 @@ distdir: $(DISTFILES)
if test -f "$$d$$p"; then echo "$$d$$p"; else :; fi; done`; \
if test -n "$$list" && \
grep 'ab help2man is required to generate this page' $$list >/dev/null; then \
- echo "error: found man pages containing the \`missing help2man' replacement text:" >&2; \
+ echo "error: found man pages containing the 'missing help2man' replacement text:" >&2; \
grep -l 'ab help2man is required to generate this page' $$list | sed 's/^/ /' >&2; \
echo " to fix them, install help2man, remove and regenerate the man pages;" >&2; \
- echo " typically \`make maintainer-clean' will remove them" >&2; \
+ echo " typically 'make maintainer-clean' will remove them" >&2; \
exit 1; \
else :; fi; \
else :; fi
@@ -787,13 +819,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -927,22 +956,24 @@ uninstall-am: uninstall-binPROGRAMS uninstall-man
uninstall-man: uninstall-man1
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) check-am \
- ctags-recursive install-am install-strip tags-recursive
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am check-local clean clean-binPROGRAMS \
- clean-generic clean-libtool ctags ctags-recursive distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-binPROGRAMS install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-man1 install-pdf \
- install-pdf-am install-ps install-ps-am install-strip \
- installcheck installcheck-am installdirs installdirs-am \
- maintainer-clean maintainer-clean-generic mostlyclean \
- mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
- pdf pdf-am ps ps-am tags tags-recursive uninstall uninstall-am \
+ clean-generic clean-libtool cscopelist cscopelist-recursive \
+ ctags ctags-recursive distclean distclean-compile \
+ distclean-generic distclean-libtool distclean-tags distdir dvi \
+ dvi-am html html-am info info-am install install-am \
+ install-binPROGRAMS install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-info install-info-am install-man \
+ install-man1 install-pdf install-pdf-am install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs installdirs-am maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-compile \
+ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
+ tags tags-recursive uninstall uninstall-am \
uninstall-binPROGRAMS uninstall-man uninstall-man1
@@ -950,13 +981,15 @@ polka_lcdd.o: $(srcdir)/ppl_lcdd.cc $(top_builddir)/utils/libppl_utils.a
$(CXXCOMPILE) -c -o $@ -DUSE_POLKA $(srcdir)/ppl_lcdd.cc
polka_lcdd: polka_lcdd.o
- $(CXXLINK) $< -lpolkag -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
+ $(CXXLINK) polka_lcdd.o \
+ -lpolkag -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
polylib_lcdd.o: $(srcdir)/ppl_lcdd.cc
$(CXXCOMPILE) -c -o $@ -DUSE_POLYLIB $(srcdir)/ppl_lcdd.cc
polylib_lcdd: polylib_lcdd.o $(top_builddir)/utils/libppl_utils.a
- $(CXXLINK) $< -lpolylibgmp -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
+ $(CXXLINK) polylib_lcdd.o \
+ -lpolylibgmp -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
@HAVE_MD5SUM_TRUE at check-local: ppl_lcdd$(EXEEXT)
@HAVE_MD5SUM_TRUE@ echo $(TOUGH_EXAMPLES) >tough_examples
diff --git a/demos/ppl_lcdd/examples/Makefile.am b/demos/ppl_lcdd/examples/Makefile.am
index 4e6d6b7..8a516bf 100644
--- a/demos/ppl_lcdd/examples/Makefile.am
+++ b/demos/ppl_lcdd/examples/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/demos/ppl_lcdd/examples/Makefile.in b/demos/ppl_lcdd/examples/Makefile.in
index 4a6d5b5..1d03479 100644
--- a/demos/ppl_lcdd/examples/Makefile.in
+++ b/demos/ppl_lcdd/examples/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,7 @@ build_triplet = @build@
host_triplet = @host@
subdir = demos/ppl_lcdd/examples
DIST_COMMON = README $(dist_noinst_DATA) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -92,14 +108,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(dist_noinst_DATA)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
@@ -452,6 +479,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
diff --git a/demos/ppl_lcdd/ppl_lcdd.1 b/demos/ppl_lcdd/ppl_lcdd.1
index 9d5ebb8..7a8bf46 100644
--- a/demos/ppl_lcdd/ppl_lcdd.1
+++ b/demos/ppl_lcdd/ppl_lcdd.1
@@ -51,7 +51,7 @@ See the file \fBCREDITS\fR in the source distribution or use the command
Report bugs to <ppl\-devel at cs.unipr.it>.
.SH COPYRIGHT
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010\-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010\-2013 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
diff --git a/demos/ppl_lcdd/ppl_lcdd.cc b/demos/ppl_lcdd/ppl_lcdd.cc
index 744c696..8e2e2f4 100644
--- a/demos/ppl_lcdd/ppl_lcdd.cc
+++ b/demos/ppl_lcdd/ppl_lcdd.cc
@@ -1,6 +1,6 @@
/* A sort of clone of the cddlib test program `lcdd'.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -255,8 +255,8 @@ set_output(const char* file_name) {
if (file_name) {
output_stream_p = new std::ofstream(file_name,
- std::ios_base::out
- | std::ios_base::app);
+ std::ios_base::out
+ | std::ios_base::app);
if (!*output_stream_p)
fatal("cannot open output file `%s'", file_name);
output_file_name = file_name;
@@ -298,7 +298,7 @@ warning(const char* format, ...) {
#ifdef PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME
-extern "C" typedef void (*sig_handler_type)(int);
+extern "C" typedef void (* const sig_handler_type)(int);
void
set_alarm_on_cpu_time(const unsigned long seconds, sig_handler_type handler) {
@@ -360,7 +360,7 @@ extern "C" void
timeout(int) {
try {
std::cerr << "TIMEOUT"
- << std::endl;
+ << std::endl;
}
catch (...) {
}
@@ -368,7 +368,7 @@ timeout(int) {
try {
if (output_file_name)
output() << "TIMEOUT"
- << std::endl;
+ << std::endl;
}
catch (...) {
}
@@ -381,10 +381,10 @@ process_options(int argc, char* argv[]) {
while (true) {
#ifdef PPL_HAVE_GETOPT_H
int option_index = 0;
- int c = getopt_long(argc, argv, OPTION_LETTERS, long_options,
- &option_index);
+ const int c = getopt_long(argc, argv, OPTION_LETTERS, long_options,
+ &option_index);
#else
- int c = getopt(argc, argv, OPTION_LETTERS);
+ const int c = getopt(argc, argv, OPTION_LETTERS);
#endif
if (c == EOF)
@@ -407,23 +407,23 @@ process_options(int argc, char* argv[]) {
case 'C':
l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0)
- fatal("a non-negative integer must follow `-C'");
+ fatal("a non-negative integer must follow `-C'");
else
- max_seconds_of_cpu_time = l;
+ max_seconds_of_cpu_time = static_cast<unsigned long>(l);
break;
#endif // defined(PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME)
case 'R':
{
- const int MEGA = 1024*1024;
+ const unsigned long MEGA = 1024U*1024U;
l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0)
fatal("a non-negative integer must follow `-R'");
else if (static_cast<unsigned long>(l) > ULONG_MAX/MEGA)
max_bytes_of_virtual_memory = ULONG_MAX;
else
- max_bytes_of_virtual_memory = l*MEGA;
+ max_bytes_of_virtual_memory = static_cast<unsigned long>(l)*MEGA;
}
break;
@@ -487,15 +487,15 @@ maybe_print_clock() {
void
normalize(const std::vector<mpq_class>& source,
- std::vector<mpz_class>& dest,
- mpz_class& denominator) {
+ std::vector<mpz_class>& dest,
+ mpz_class& denominator) {
typedef std::vector<mpq_class>::size_type size_type;
- size_type n = source.size();
+ const size_type n = source.size();
denominator = 1;
for (size_type i = 0; i < n; ++i)
mpz_lcm(denominator.get_mpz_t(),
- denominator.get_mpz_t(),
- source[i].get_den().get_mpz_t());
+ denominator.get_mpz_t(),
+ source[i].get_den().get_mpz_t());
for (size_type i = 0; i < n; ++i)
dest[i] = denominator*source[i];
}
@@ -545,17 +545,17 @@ enum Number_Type { INTEGER, RATIONAL, REAL };
void
read_coefficients(std::istream& in,
- const Number_Type number_type,
- std::vector<mpz_class>& coefficients,
- mpz_class& denominator) {
+ const Number_Type number_type,
+ std::vector<mpz_class>& coefficients,
+ mpz_class& denominator) {
typedef std::vector<mpz_class>::size_type size_type;
- size_type num_coefficients = coefficients.size();
+ const size_type num_coefficients = coefficients.size();
switch (number_type) {
case INTEGER:
{
for (unsigned i = 0; i < num_coefficients; ++i)
- if (!guarded_read(in, coefficients[i]))
- error("missing or invalid integer coefficient");
+ if (!guarded_read(in, coefficients[i]))
+ error("missing or invalid integer coefficient");
denominator = 1;
break;
}
@@ -563,8 +563,8 @@ read_coefficients(std::istream& in,
{
std::vector<mpq_class> rational_coefficients(num_coefficients);
for (unsigned i = 0; i < num_coefficients; ++i)
- if (!guarded_read(in, rational_coefficients[i]))
- error("missing or invalid rational coefficient");
+ if (!guarded_read(in, rational_coefficients[i]))
+ error("missing or invalid rational coefficient");
normalize(rational_coefficients, coefficients, denominator);
break;
}
@@ -572,10 +572,10 @@ read_coefficients(std::istream& in,
{
std::vector<mpq_class> rational_coefficients(num_coefficients);
for (unsigned i = 0; i < num_coefficients; ++i) {
- double d;
- if (!guarded_read(in, d))
- error("missing or invalid real coefficient");
- rational_coefficients[i] = mpq_class(d);
+ double d;
+ if (!guarded_read(in, d))
+ error("missing or invalid real coefficient");
+ rational_coefficients[i] = mpq_class(d);
}
normalize(rational_coefficients, coefficients, denominator);
break;
@@ -585,8 +585,8 @@ read_coefficients(std::istream& in,
void
read_indexes_set(std::istream& in,
- std::set<unsigned>& dest,
- const char* what) {
+ std::set<unsigned>& dest,
+ const char* what) {
assert(dest.empty());
unsigned num_elements;
if (!guarded_read(in, num_elements))
@@ -619,11 +619,11 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
else if (s == "linearity" || s == "equality" || s == "partial_enum") {
read_indexes_set(in, linearity, "linearity");
if (verbose) {
- std::cerr << "Linearity: ";
- for (std::set<unsigned>::const_iterator j = linearity.begin(),
- linearity_end = linearity.end(); j != linearity_end; ++j)
- std::cerr << *j << " ";
- std::cerr << std::endl;
+ std::cerr << "Linearity: ";
+ for (std::set<unsigned>::const_iterator j = linearity.begin(),
+ linearity_end = linearity.end(); j != linearity_end; ++j)
+ std::cerr << *j << " ";
+ std::cerr << std::endl;
}
}
else if (s == "begin")
@@ -644,14 +644,14 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
std::istringstream iss(s);
if (!guarded_read(iss, num_rows))
error("illegal number of rows `%s' (\"*****\" would be accepted)",
- s.c_str());
+ s.c_str());
has_num_rows = true;
}
unsigned num_columns;
if (!guarded_read(in, num_columns))
error("illegal or missing number of columns");
- unsigned space_dim = num_columns - 1;
+ const unsigned space_dim = num_columns - 1;
if (!guarded_read(in, s))
error("missing number type");
@@ -672,8 +672,8 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
else
std::cerr << '?';
std::cerr << " x " << num_columns
- << "; number type: " << s
- << std::endl;
+ << "; number type: " << s
+ << std::endl;
}
#if defined(USE_PPL)
@@ -707,80 +707,80 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
for (row = 0; !has_num_rows || row < num_rows; ++row) {
int vertex_marker;
if (!has_num_rows) {
- // Must be prepared to read an "end" here.
- if (!guarded_read(in, s))
- error("missing vertex marker");
- if (s == "end")
- break;
- std::istringstream iss(s);
- if (!guarded_read(iss, vertex_marker)
- || vertex_marker < 0 || vertex_marker > 1)
- error("illegal vertex marker `%s'", s.c_str());
+ // Must be prepared to read an "end" here.
+ if (!guarded_read(in, s))
+ error("missing vertex marker");
+ if (s == "end")
+ break;
+ std::istringstream iss(s);
+ if (!guarded_read(iss, vertex_marker)
+ || vertex_marker < 0 || vertex_marker > 1)
+ error("illegal vertex marker `%s'", s.c_str());
}
else if (!guarded_read(in, vertex_marker)
- || vertex_marker < 0 || vertex_marker > 1)
- error("illegal or missing vertex marker");
+ || vertex_marker < 0 || vertex_marker > 1)
+ error("illegal or missing vertex marker");
read_coefficients(in, number_type, coefficients, denominator);
#if defined(USE_PPL)
// PPL variables have indices 0, 1, ..., space_dim-1.
PPL::Linear_Expression e;
for (unsigned j = space_dim; j-- > 0; )
- e += coefficients[j] * PPL::Variable(j);
+ e += coefficients[j] * PPL::Variable(j);
#elif defined(USE_POLKA)
// NewPolka variables have indices 2, 3, ..., space_dim+1.
for (unsigned j = space_dim; j-- > 0; )
- pkint_set(mat->p[row][j+2], coefficients[j].get_mpz_t());
+ pkint_set(mat->p[row][j+2], coefficients[j].get_mpz_t());
#elif defined(USE_POLYLIB)
// PolyLib variables have indices 1, 2, ..., space_dim.
for (unsigned j = space_dim; j-- > 0; )
- value_assign(mat->p[row][j+1], coefficients[j].get_mpz_t());
+ value_assign(mat->p[row][j+1], coefficients[j].get_mpz_t());
#endif
if (vertex_marker == 1) {
- assert(linearity.find(row+1) == linearity_end);
+ assert(linearity.find(row+1) == linearity_end);
#if defined(USE_PPL)
- gs.insert(point(e, denominator));
+ gs.insert(point(e, denominator));
#elif defined(USE_POLKA)
- // NewPolka stores the generator kind at index 0 (1 = ray/point)
- // and the common denominator at index 1.
- pkint_set_si(mat->p[row][0], 1);
- pkint_set(mat->p[row][1], denominator.get_mpz_t());
+ // NewPolka stores the generator kind at index 0 (1 = ray/point)
+ // and the common denominator at index 1.
+ pkint_set_si(mat->p[row][0], 1);
+ pkint_set(mat->p[row][1], denominator.get_mpz_t());
#elif defined(USE_POLYLIB)
- // PolyLib stores the generator kind at index 0 (1 = ray/point)
- // and the common denominator at index space_dim+1.
- value_set_si(mat->p[row][0], 1);
- value_assign(mat->p[row][space_dim+1], denominator.get_mpz_t());
+ // PolyLib stores the generator kind at index 0 (1 = ray/point)
+ // and the common denominator at index space_dim+1.
+ value_set_si(mat->p[row][0], 1);
+ value_assign(mat->p[row][space_dim+1], denominator.get_mpz_t());
#endif
- has_a_point = true;
+ has_a_point = true;
}
else if (linearity.find(row+1) != linearity_end) {
#if defined(USE_PPL)
- gs.insert(line(e));
+ gs.insert(line(e));
#elif defined(USE_POLKA)
- // NewPolka stores the generator kind at index 0 (0 = line)
- // and the common denominator at index 1 (0 for ray/line).
- pkint_set_si(mat->p[row][0], 0);
- pkint_set_si(mat->p[row][1], 0);
+ // NewPolka stores the generator kind at index 0 (0 = line)
+ // and the common denominator at index 1 (0 for ray/line).
+ pkint_set_si(mat->p[row][0], 0);
+ pkint_set_si(mat->p[row][1], 0);
#elif defined(USE_POLYLIB)
- // PolyLib stores the generator kind at index 0 (0 = line)
- // and the common denominator at index space_dim+1 (0 for ray/line).
- value_set_si(mat->p[row][0], 0);
- value_set_si(mat->p[row][space_dim+1], 0);
+ // PolyLib stores the generator kind at index 0 (0 = line)
+ // and the common denominator at index space_dim+1 (0 for ray/line).
+ value_set_si(mat->p[row][0], 0);
+ value_set_si(mat->p[row][space_dim+1], 0);
#endif
}
else {
#if defined(USE_PPL)
- gs.insert(ray(e));
+ gs.insert(ray(e));
#elif defined(USE_POLKA)
- // NewPolka stores the generator kind at index 0 (1 = ray/point)
- // and the common denominator at index 1 (0 for ray/line).
- pkint_set_si(mat->p[row][0], 1);
- pkint_set_si(mat->p[row][1], 0);
+ // NewPolka stores the generator kind at index 0 (1 = ray/point)
+ // and the common denominator at index 1 (0 for ray/line).
+ pkint_set_si(mat->p[row][0], 1);
+ pkint_set_si(mat->p[row][1], 0);
#elif defined(USE_POLYLIB)
- // PolyLib stores the generator kind at index 0 (1 = ray/point)
- // and the common denominator at index space_dim+1 (0 for ray/line).
- value_set_si(mat->p[row][0], 1);
- value_set_si(mat->p[row][space_dim+1], 0);
+ // PolyLib stores the generator kind at index 0 (1 = ray/point)
+ // and the common denominator at index space_dim+1 (0 for ray/line).
+ value_set_si(mat->p[row][0], 1);
+ value_set_si(mat->p[row][space_dim+1], 0);
#endif
}
}
@@ -793,23 +793,23 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
pkint_set_si(mat->p[num_rows][0], 1);
pkint_set_si(mat->p[num_rows][1], 1);
for (unsigned j = space_dim; j-- > 0; )
- pkint_set_si(mat->p[num_rows][j+2], 0);
+ pkint_set_si(mat->p[num_rows][j+2], 0);
++num_rows;
#elif defined(USE_POLYLIB)
// Add the origin as a point.
value_set_si(mat->p[num_rows][0], 1);
value_set_si(mat->p[num_rows][space_dim+1], 1);
for (unsigned j = space_dim; j-- > 0; )
- value_set_si(mat->p[num_rows][j+1], 0);
+ value_set_si(mat->p[num_rows][j+1], 0);
++num_rows;
#endif
}
if (verbose) {
if (!has_num_rows)
- std::cerr << "Problem dimension: " << row << " x " << num_columns
- << "; number type: " << s
- << std::endl;
+ std::cerr << "Problem dimension: " << row << " x " << num_columns
+ << "; number type: " << s
+ << std::endl;
#if defined(USE_PPL)
using namespace PPL::IO_Operators;
@@ -832,68 +832,68 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
mpz_class denominator;
for (row = 0; !has_num_rows || row < num_rows; ++row) {
if (!has_num_rows) {
- // Must be prepared to read an "end" here.
- std::getline(in, s);
- if (!in)
- error("premature end of file while seeking "
- "for coefficients or `end'");
- if (s.substr(0, 2) == "end")
- break;
- std::istringstream iss(s);
- read_coefficients(iss, number_type, coefficients, denominator);
+ // Must be prepared to read an "end" here.
+ std::getline(in, s);
+ if (!in)
+ error("premature end of file while seeking "
+ "for coefficients or `end'");
+ if (s.substr(0, 2) == "end")
+ break;
+ std::istringstream iss(s);
+ read_coefficients(iss, number_type, coefficients, denominator);
}
else
- read_coefficients(in, number_type, coefficients, denominator);
+ read_coefficients(in, number_type, coefficients, denominator);
#if defined(USE_PPL)
// PPL variables have indices 0, 1, ..., space_dim-1.
PPL::Linear_Expression e;
for (unsigned j = num_columns; j-- > 1; )
- e += coefficients[j] * PPL::Variable(j-1);
+ e += coefficients[j] * PPL::Variable(j-1);
e += coefficients[0];
#elif defined(USE_POLKA)
// NewPolka variables have indices 2, 3, ..., space_dim+1.
for (unsigned j = num_columns; j-- > 1; )
- pkint_set(mat->p[row][j+1], coefficients[j].get_mpz_t());
+ pkint_set(mat->p[row][j+1], coefficients[j].get_mpz_t());
// NewPolka stores the inhomogeneous term at index 1.
pkint_set(mat->p[row][1], coefficients[0].get_mpz_t());
#elif defined(USE_POLYLIB)
// PolyLib variables have indices 1, 2, ..., space_dim.
for (unsigned j = num_columns; j-- > 1; )
- value_assign(mat->p[row][j], coefficients[j].get_mpz_t());
+ value_assign(mat->p[row][j], coefficients[j].get_mpz_t());
// PolyLib stores the inhomogeneous term at index space_dim+1.
value_assign(mat->p[row][space_dim+1], coefficients[0].get_mpz_t());
#endif
if (linearity.find(row+1) != linearity_end) {
#if defined(USE_PPL)
- cs.insert(e == 0);
+ cs.insert(e == 0);
#elif defined(USE_POLKA)
- // NewPolka stores the constraint kind at index 0 (0 = equality).
- pkint_set_si(mat->p[row][0], 0);
+ // NewPolka stores the constraint kind at index 0 (0 = equality).
+ pkint_set_si(mat->p[row][0], 0);
#elif defined(USE_POLYLIB)
- // PolyLib stores the constraint kind at index 0 (0 = equality).
- value_set_si(mat->p[row][0], 0);
+ // PolyLib stores the constraint kind at index 0 (0 = equality).
+ value_set_si(mat->p[row][0], 0);
#endif
}
else {
#if defined(USE_PPL)
- cs.insert(e >= 0);
+ cs.insert(e >= 0);
#elif defined(USE_POLKA)
- // NewPolka stores the constraint kind at index 0 (1 = inequality).
- pkint_set_si(mat->p[row][0], 1);
+ // NewPolka stores the constraint kind at index 0 (1 = inequality).
+ pkint_set_si(mat->p[row][0], 1);
#elif defined(USE_POLYLIB)
- // PolyLib stores the constraint kind at index 0 (1 = inequality).
- value_set_si(mat->p[row][0], 1);
+ // PolyLib stores the constraint kind at index 0 (1 = inequality).
+ value_set_si(mat->p[row][0], 1);
#endif
}
}
if (verbose) {
if (!has_num_rows)
- std::cerr << "Problem dimension: " << row << " x " << num_columns
- << "; number type: " << s
- << std::endl;
+ std::cerr << "Problem dimension: " << row << " x " << num_columns
+ << "; number type: " << s
+ << std::endl;
#if defined(USE_PPL)
using namespace PPL::IO_Operators;
@@ -929,7 +929,7 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
// PolyLib is not lazy: it will perform the conversion immediately.
maybe_start_clock();
ph = AddConstraints(mat->p[0], num_rows, ph,
- max_constraints_or_generators);
+ max_constraints_or_generators);
maybe_print_clock();
#endif
}
@@ -944,7 +944,7 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
// PolyLib is not lazy: it will perform the conversion immediately.
maybe_start_clock();
ph = AddRays(mat->p[0], num_rows, ph,
- max_constraints_or_generators);
+ max_constraints_or_generators);
maybe_print_clock();
#endif
}
@@ -953,8 +953,8 @@ read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) {
void
write_polyhedron(std::ostream& out,
- const POLYHEDRON_TYPE& ph,
- const Representation rep) {
+ const POLYHEDRON_TYPE& ph,
+ const Representation rep) {
if (rep == H)
guarded_write(out, "H-representation\n");
else {
@@ -968,19 +968,19 @@ write_polyhedron(std::ostream& out,
if (rep == H) {
const PPL::Constraint_System& cs = ph.constraints();
for (PPL::Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
++num_rows;
if (i->is_equality())
- linearity.insert(linearity.end(), num_rows);
+ linearity.insert(linearity.end(), num_rows);
}
}
else {
const PPL::Generator_System& gs = ph.generators();
for (PPL::Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i) {
+ gs_end = gs.end(); i != gs_end; ++i) {
++num_rows;
if (i->is_line())
- linearity.insert(linearity.end(), num_rows);
+ linearity.insert(linearity.end(), num_rows);
}
}
#elif defined(USE_POLKA)
@@ -1006,7 +1006,7 @@ write_polyhedron(std::ostream& out,
guarded_write(out, "linearity ");
guarded_write(out, linearity.size());
for (std::set<unsigned>::const_iterator j = linearity.begin(),
- linearity_end = linearity.end(); j != linearity_end; ++j) {
+ linearity_end = linearity.end(); j != linearity_end; ++j) {
guarded_write(out, ' ');
guarded_write(out, *j);
}
@@ -1014,11 +1014,11 @@ write_polyhedron(std::ostream& out,
}
#if defined(USE_PPL)
- PPL::dimension_type space_dim = ph.space_dimension();
+ const PPL::dimension_type space_dim = ph.space_dimension();
#elif defined(USE_POLKA)
- unsigned space_dim = poly_dimension(ph);
+ const unsigned space_dim = poly_dimension(ph);
#elif defined(USE_POLYLIB)
- unsigned space_dim = mat->NbColumns - 2;
+ const unsigned space_dim = mat->NbColumns - 2;
#endif
guarded_write(out, "begin\n");
@@ -1035,12 +1035,12 @@ write_polyhedron(std::ostream& out,
if (rep == H) {
const PPL::Constraint_System& cs = ph.constraints();
for (PPL::Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
const PPL::Constraint& c = *i;
guarded_write(out, c.inhomogeneous_term());
for (PPL::dimension_type j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- guarded_write(out, c.coefficient(PPL::Variable(j)));
+ guarded_write(out, ' ');
+ guarded_write(out, c.coefficient(PPL::Variable(j)));
}
guarded_write(out, '\n');
}
@@ -1049,32 +1049,32 @@ write_polyhedron(std::ostream& out,
assert(rep == V);
const PPL::Generator_System& gs = ph.generators();
for (PPL::Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i) {
+ gs_end = gs.end(); i != gs_end; ++i) {
const PPL::Generator& g = *i;
if (g.is_point()) {
- guarded_write(out, '1');
- const PPL::Coefficient& divisor = g.divisor();
- for (PPL::dimension_type j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- if (g.coefficient(PPL::Variable(j)) == 0)
- guarded_write(out, '0');
- else {
- mpz_class numer, denom;
- PPL::assign_r(numer,
- g.coefficient(PPL::Variable(j)),
- PPL::ROUND_NOT_NEEDED);
- PPL::assign_r(denom, divisor, PPL::ROUND_NOT_NEEDED);
- guarded_write(out, mpq_class(numer, denom));
- }
- }
+ guarded_write(out, '1');
+ const PPL::Coefficient& divisor = g.divisor();
+ for (PPL::dimension_type j = 0; j < space_dim; ++j) {
+ guarded_write(out, ' ');
+ if (g.coefficient(PPL::Variable(j)) == 0)
+ guarded_write(out, '0');
+ else {
+ mpz_class numer, denom;
+ PPL::assign_r(numer,
+ g.coefficient(PPL::Variable(j)),
+ PPL::ROUND_NOT_NEEDED);
+ PPL::assign_r(denom, divisor, PPL::ROUND_NOT_NEEDED);
+ guarded_write(out, mpq_class(numer, denom));
+ }
+ }
}
else {
- // `g' is a ray or a line.
- guarded_write(out, '0');
- for (PPL::dimension_type j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- guarded_write(out, g.coefficient(PPL::Variable(j)));
- }
+ // `g' is a ray or a line.
+ guarded_write(out, '0');
+ for (PPL::dimension_type j = 0; j < space_dim; ++j) {
+ guarded_write(out, ' ');
+ guarded_write(out, g.coefficient(PPL::Variable(j)));
+ }
}
guarded_write(out, '\n');
}
@@ -1087,8 +1087,8 @@ write_polyhedron(std::ostream& out,
guarded_write(out, c[1]);
// The variables' coefficients.
for (unsigned j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- guarded_write(out, c[j+2]);
+ guarded_write(out, ' ');
+ guarded_write(out, c[j+2]);
}
guarded_write(out, '\n');
}
@@ -1100,21 +1100,21 @@ write_polyhedron(std::ostream& out,
guarded_write(out, g[0]);
const pkint_t divisor = g[1];
if (pkint_sgn(divisor) != 0)
- // `g' is a point.
- for (unsigned j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- if (pkint_sgn(g[j+2]) == 0)
- guarded_write(out, '0');
- else
- guarded_write(out, mpq_class(mpz_class(g[j+2].rep),
- mpz_class(divisor.rep)));
- }
+ // `g' is a point.
+ for (unsigned j = 0; j < space_dim; ++j) {
+ guarded_write(out, ' ');
+ if (pkint_sgn(g[j+2]) == 0)
+ guarded_write(out, '0');
+ else
+ guarded_write(out, mpq_class(mpz_class(g[j+2].rep),
+ mpz_class(divisor.rep)));
+ }
else
- // `g' is a ray or a line.
- for (unsigned j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- guarded_write(out, g[j+2]);
- }
+ // `g' is a ray or a line.
+ for (unsigned j = 0; j < space_dim; ++j) {
+ guarded_write(out, ' ');
+ guarded_write(out, g[j+2]);
+ }
guarded_write(out, '\n');
}
}
@@ -1126,8 +1126,8 @@ write_polyhedron(std::ostream& out,
guarded_write(out, c[space_dim+1]);
// The variables' coefficients.
for (unsigned j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- guarded_write(out, c[j+1]);
+ guarded_write(out, ' ');
+ guarded_write(out, c[j+1]);
}
guarded_write(out, '\n');
}
@@ -1139,21 +1139,21 @@ write_polyhedron(std::ostream& out,
guarded_write(out, g[0]);
const Value& divisor = g[space_dim+1];
if (value_sign(divisor) != 0)
- // `g' is a point.
- for (unsigned j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- if (value_sign(g[j+1]) == 0)
- guarded_write(out, '0');
- else
- guarded_write(out, mpq_class(mpz_class(g[j+1]),
- mpz_class(divisor)));
- }
+ // `g' is a point.
+ for (unsigned j = 0; j < space_dim; ++j) {
+ guarded_write(out, ' ');
+ if (value_sign(g[j+1]) == 0)
+ guarded_write(out, '0');
+ else
+ guarded_write(out, mpq_class(mpz_class(g[j+1]),
+ mpz_class(divisor)));
+ }
else
- // `g' is a ray or a line.
- for (unsigned j = 0; j < space_dim; ++j) {
- guarded_write(out, ' ');
- guarded_write(out, g[j+1]);
- }
+ // `g' is a ray or a line.
+ for (unsigned j = 0; j < space_dim; ++j) {
+ guarded_write(out, ' ');
+ guarded_write(out, g[j+1]);
+ }
guarded_write(out, '\n');
}
}
@@ -1181,12 +1181,12 @@ main(int argc, char* argv[]) try {
#if defined(USE_PPL)
if (strcmp(PPL_VERSION, PPL::version()) != 0)
fatal("was compiled with PPL version %s, but linked with version %s",
- PPL_VERSION, PPL::version());
+ PPL_VERSION, PPL::version());
if (verbose)
std::cerr << "Parma Polyhedra Library version:\n" << PPL::version()
- << "\n\nParma Polyhedra Library banner:\n" << PPL::banner()
- << std::endl;
+ << "\n\nParma Polyhedra Library banner:\n" << PPL::banner()
+ << std::endl;
#endif
// Process command line options.
@@ -1207,7 +1207,7 @@ main(int argc, char* argv[]) try {
set_output(output_file_name);
POLYHEDRON_TYPE ph;
- Representation rep = read_polyhedron(input(), ph);
+ const Representation rep = read_polyhedron(input(), ph);
enum Command { None, H_to_V, V_to_H };
Command command = None;
@@ -1259,76 +1259,76 @@ main(int argc, char* argv[]) try {
set_input(check_file_name);
// Read the polyhedron containing the expected result.
PPL::C_Polyhedron e_ph;
- Representation e_rep = read_polyhedron(input(), e_ph);
+ const Representation e_rep = read_polyhedron(input(), e_ph);
switch (command) {
case H_to_V:
{
- if (e_rep == H)
- warning("checking an H-to-V conversion with an H representation");
-
- // Count the number of generators of `ph'.
- unsigned ph_num_generators = 0;
- const PPL::Generator_System& ph_gs = ph.generators();
- for (PPL::Generator_System::const_iterator i = ph_gs.begin(),
- ph_gs_end = ph_gs.end(); i != ph_gs_end; ++i)
- ++ph_num_generators;
-
- // Count the number of generators of `e_ph'.
- unsigned e_ph_num_generators = 0;
- const PPL::Generator_System& e_ph_gs = e_ph.generators();
- for (PPL::Generator_System::const_iterator i = e_ph_gs.begin(),
- e_ph_gs_end = e_ph_gs.end(); i != e_ph_gs_end; ++i)
- ++e_ph_num_generators;
-
- // If the polyhedra differ, that is the problem.
- if (ph != e_ph) {
- if (verbose)
- std::cerr << "Check failed: polyhedra differ"
- << std::endl;
- return 1;
- }
- else if (ph_num_generators != e_ph_num_generators)
- // If we have different number of generators, we fail.
- std::cerr << "Check failed: different number of generators:\n"
- << "expected " << e_ph_num_generators
- << ", obtained " << ph_num_generators
- << std::endl;
- break;
+ if (e_rep == H)
+ warning("checking an H-to-V conversion with an H representation");
+
+ // Count the number of generators of `ph'.
+ unsigned ph_num_generators = 0;
+ const PPL::Generator_System& ph_gs = ph.generators();
+ for (PPL::Generator_System::const_iterator i = ph_gs.begin(),
+ ph_gs_end = ph_gs.end(); i != ph_gs_end; ++i)
+ ++ph_num_generators;
+
+ // Count the number of generators of `e_ph'.
+ unsigned e_ph_num_generators = 0;
+ const PPL::Generator_System& e_ph_gs = e_ph.generators();
+ for (PPL::Generator_System::const_iterator i = e_ph_gs.begin(),
+ e_ph_gs_end = e_ph_gs.end(); i != e_ph_gs_end; ++i)
+ ++e_ph_num_generators;
+
+ // If the polyhedra differ, that is the problem.
+ if (ph != e_ph) {
+ if (verbose)
+ std::cerr << "Check failed: polyhedra differ"
+ << std::endl;
+ return 1;
+ }
+ else if (ph_num_generators != e_ph_num_generators)
+ // If we have different number of generators, we fail.
+ std::cerr << "Check failed: different number of generators:\n"
+ << "expected " << e_ph_num_generators
+ << ", obtained " << ph_num_generators
+ << std::endl;
+ break;
}
case V_to_H:
{
- if (e_rep == V)
- warning("checking an V-to-H conversion with a V representation");
-
- // Count the number of constraints of `ph'.
- unsigned ph_num_constraints = 0;
- const PPL::Constraint_System& ph_cs = ph.constraints();
- for (PPL::Constraint_System::const_iterator i = ph_cs.begin(),
- ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i)
- ++ph_num_constraints;
-
- // Count the number of constraints of `e_ph'.
- unsigned e_ph_num_constraints = 0;
- const PPL::Constraint_System& e_ph_cs = e_ph.constraints();
- for (PPL::Constraint_System::const_iterator i = e_ph_cs.begin(),
- e_ph_cs_end = e_ph_cs.end(); i != e_ph_cs_end; ++i)
- ++e_ph_num_constraints;
-
- // If the polyhedra differ, that is the problem.
- if (ph != e_ph) {
- if (verbose)
- std::cerr << "Check failed: polyhedra differ"
- << std::endl;
- return 1;
- }
- else if (ph_num_constraints != e_ph_num_constraints)
- // If we have different number of constraints, we fail.
- std::cerr << "Check failed: different number of constraints:\n"
- << "expected " << e_ph_num_constraints
- << ", obtained " << ph_num_constraints
- << std::endl;
- break;
+ if (e_rep == V)
+ warning("checking an V-to-H conversion with a V representation");
+
+ // Count the number of constraints of `ph'.
+ unsigned ph_num_constraints = 0;
+ const PPL::Constraint_System& ph_cs = ph.constraints();
+ for (PPL::Constraint_System::const_iterator i = ph_cs.begin(),
+ ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i)
+ ++ph_num_constraints;
+
+ // Count the number of constraints of `e_ph'.
+ unsigned e_ph_num_constraints = 0;
+ const PPL::Constraint_System& e_ph_cs = e_ph.constraints();
+ for (PPL::Constraint_System::const_iterator i = e_ph_cs.begin(),
+ e_ph_cs_end = e_ph_cs.end(); i != e_ph_cs_end; ++i)
+ ++e_ph_num_constraints;
+
+ // If the polyhedra differ, that is the problem.
+ if (ph != e_ph) {
+ if (verbose)
+ std::cerr << "Check failed: polyhedra differ"
+ << std::endl;
+ return 1;
+ }
+ else if (ph_num_constraints != e_ph_num_constraints)
+ // If we have different number of constraints, we fail.
+ std::cerr << "Check failed: different number of constraints:\n"
+ << "expected " << e_ph_num_constraints
+ << ", obtained " << ph_num_constraints
+ << std::endl;
+ break;
}
case None:
break;
diff --git a/demos/ppl_lpsol/Makefile.am b/demos/ppl_lpsol/Makefile.am
index 44a4f7d..85703e5 100644
--- a/demos/ppl_lpsol/Makefile.am
+++ b/demos/ppl_lpsol/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/demos/ppl_lpsol/Makefile.in b/demos/ppl_lpsol/Makefile.in
index fb69fc2..b7a210d 100644
--- a/demos/ppl_lpsol/Makefile.in
+++ b/demos/ppl_lpsol/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -62,7 +78,8 @@ host_triplet = @host@
@BUILD_C_INTERFACE_TRUE@@HAVE_GLPK_TRUE@ ppl_lpsol$(EXEEXT)
subdir = demos/ppl_lpsol
DIST_COMMON = $(dist_man_MANS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -99,10 +116,8 @@ LIBRARIES = $(noinst_LIBRARIES)
ARFLAGS = cru
AM_V_AR = $(am__v_AR_ at AM_V@)
am__v_AR_ = $(am__v_AR_ at AM_DEFAULT_V@)
-am__v_AR_0 = @echo " AR " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_AR_0 = @echo " AR " $@;
+am__v_AR_1 =
libglpk_set_d_eps_a_AR = $(AR) $(ARFLAGS)
libglpk_set_d_eps_a_LIBADD =
am__libglpk_set_d_eps_a_SOURCES_DIST = glpk_set_d_eps.c
@@ -121,6 +136,19 @@ ppl_lpsol_OBJECTS = $(am_ppl_lpsol_OBJECTS)
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -133,14 +161,16 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
CXXCOMPILE = $(CXX) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \
$(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CXXFLAGS) $(CXXFLAGS)
LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
@@ -149,17 +179,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(libglpk_set_d_eps_a_SOURCES) $(ppl_lpsol_SOURCES)
DIST_SOURCES = $(am__libglpk_set_d_eps_a_SOURCES_DIST) \
$(am__ppl_lpsol_SOURCES_DIST)
@@ -170,6 +199,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -645,8 +679,11 @@ libglpk_set_d_eps.a: $(libglpk_set_d_eps_a_OBJECTS) $(libglpk_set_d_eps_a_DEPEND
$(AM_V_at)$(RANLIB) libglpk_set_d_eps.a
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -763,11 +800,18 @@ clean-libtool:
-rm -rf .libs _libs
install-man1: $(dist_man_MANS)
@$(NORMAL_INSTALL)
- test -z "$(man1dir)" || $(MKDIR_P) "$(DESTDIR)$(man1dir)"
- @list=''; test -n "$(man1dir)" || exit 0; \
- { for i in $$list; do echo "$$i"; done; \
- l2='$(dist_man_MANS)'; for i in $$l2; do echo "$$i"; done | \
- sed -n '/\.1[a-z]*$$/p'; \
+ @list1=''; \
+ list2='$(dist_man_MANS)'; \
+ test -n "$(man1dir)" \
+ && test -n "`echo $$list1$$list2`" \
+ || exit 0; \
+ echo " $(MKDIR_P) '$(DESTDIR)$(man1dir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(man1dir)" || exit 1; \
+ { for i in $$list1; do echo "$$i"; done; \
+ if test -n "$$list2"; then \
+ for i in $$list2; do echo "$$i"; done \
+ | sed -n '/\.1[a-z]*$$/p'; \
+ fi; \
} | while read p; do \
if test -f $$p; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; echo "$$p"; \
@@ -799,12 +843,12 @@ uninstall-man1:
dir='$(DESTDIR)$(man1dir)'; $(am__uninstall_files_from_dir)
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -814,7 +858,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -828,37 +876,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -867,6 +884,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -930,6 +951,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -940,10 +975,10 @@ distdir: $(DISTFILES)
if test -f "$$d$$p"; then echo "$$d$$p"; else :; fi; done`; \
if test -n "$$list" && \
grep 'ab help2man is required to generate this page' $$list >/dev/null; then \
- echo "error: found man pages containing the \`missing help2man' replacement text:" >&2; \
+ echo "error: found man pages containing the 'missing help2man' replacement text:" >&2; \
grep -l 'ab help2man is required to generate this page' $$list | sed 's/^/ /' >&2; \
echo " to fix them, install help2man, remove and regenerate the man pages;" >&2; \
- echo " typically \`make maintainer-clean' will remove them" >&2; \
+ echo " typically 'make maintainer-clean' will remove them" >&2; \
exit 1; \
else :; fi; \
else :; fi
@@ -978,13 +1013,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -1120,24 +1152,25 @@ uninstall-am: uninstall-binPROGRAMS uninstall-man
uninstall-man: uninstall-man1
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) check-am \
- ctags-recursive install-am install-strip tags-recursive
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am check-local clean clean-binPROGRAMS \
- clean-generic clean-libtool clean-noinstLIBRARIES ctags \
- ctags-recursive distclean distclean-compile distclean-generic \
- distclean-libtool distclean-tags distdir dvi dvi-am html \
- html-am info info-am install install-am install-binPROGRAMS \
- install-data install-data-am install-dvi install-dvi-am \
- install-exec install-exec-am install-html install-html-am \
- install-info install-info-am install-man install-man1 \
- install-pdf install-pdf-am install-ps install-ps-am \
- install-strip installcheck installcheck-am installdirs \
- installdirs-am maintainer-clean maintainer-clean-generic \
- mostlyclean mostlyclean-compile mostlyclean-generic \
- mostlyclean-libtool pdf pdf-am ps ps-am tags tags-recursive \
- uninstall uninstall-am uninstall-binPROGRAMS uninstall-man \
- uninstall-man1
+ clean-generic clean-libtool clean-noinstLIBRARIES cscopelist \
+ cscopelist-recursive ctags ctags-recursive distclean \
+ distclean-compile distclean-generic distclean-libtool \
+ distclean-tags distdir dvi dvi-am html html-am info info-am \
+ install install-am install-binPROGRAMS install-data \
+ install-data-am install-dvi install-dvi-am install-exec \
+ install-exec-am install-html install-html-am install-info \
+ install-info-am install-man install-man1 install-pdf \
+ install-pdf-am install-ps install-ps-am install-strip \
+ installcheck installcheck-am installdirs installdirs-am \
+ maintainer-clean maintainer-clean-generic mostlyclean \
+ mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
+ pdf pdf-am ps ps-am tags tags-recursive uninstall uninstall-am \
+ uninstall-binPROGRAMS uninstall-man uninstall-man1
@BUILD_C_INTERFACE_TRUE@@HAVE_GLPK_TRUE at check-local: ppl_lpsol$(EXEEXT)
diff --git a/demos/ppl_lpsol/dummy.cc b/demos/ppl_lpsol/dummy.cc
index 453114c..67adace 100644
--- a/demos/ppl_lpsol/dummy.cc
+++ b/demos/ppl_lpsol/dummy.cc
@@ -1,5 +1,5 @@
/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is free software; as a special exception the author gives
unlimited permission to copy and/or distribute it, with or without
diff --git a/demos/ppl_lpsol/examples/Makefile.am b/demos/ppl_lpsol/examples/Makefile.am
index a8c9fb6..88ff354 100644
--- a/demos/ppl_lpsol/examples/Makefile.am
+++ b/demos/ppl_lpsol/examples/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/demos/ppl_lpsol/examples/Makefile.in b/demos/ppl_lpsol/examples/Makefile.in
index 79d2f2c..3c36cff 100644
--- a/demos/ppl_lpsol/examples/Makefile.in
+++ b/demos/ppl_lpsol/examples/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,7 @@ build_triplet = @build@
host_triplet = @host@
subdir = demos/ppl_lpsol/examples
DIST_COMMON = README $(dist_noinst_DATA) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -92,14 +108,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(dist_noinst_DATA)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
@@ -369,6 +396,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
diff --git a/demos/ppl_lpsol/ppl_lpsol.1 b/demos/ppl_lpsol/ppl_lpsol.1
index 52f1231..8b0044f 100644
--- a/demos/ppl_lpsol/ppl_lpsol.1
+++ b/demos/ppl_lpsol/ppl_lpsol.1
@@ -86,7 +86,7 @@ See the file \fBCREDITS\fR in the source distribution or use the command
\fBppl\-config \-\-credits\fR for a list of contributors.
.SH COPYRIGHT
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010\-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010\-2013 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
diff --git a/demos/ppl_lpsol/ppl_lpsol.c b/demos/ppl_lpsol/ppl_lpsol.c
index 8c62b94..5d07c46 100644
--- a/demos/ppl_lpsol/ppl_lpsol.c
+++ b/demos/ppl_lpsol/ppl_lpsol.c
@@ -1,7 +1,7 @@
/* Solve linear programming problems by either vertex/point enumeration
or the primal simplex algorithm.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -298,14 +298,14 @@ process_options(int argc, char* argv[]) {
case 'c':
check_results = 1;
if (optarg) {
- d = strtod(optarg, &endptr);
- if (*endptr || errno == ERANGE || d < 0.0)
- fatal("only a non-negative floating point number can `-c'");
- else
- check_threshold = d;
+ d = strtod(optarg, &endptr);
+ if (*endptr || errno == ERANGE || d < 0.0)
+ fatal("only a non-negative floating point number can `-c'");
+ else
+ check_threshold = d;
}
else
- check_threshold = default_check_threshold;
+ check_threshold = default_check_threshold;
break;
case 'm':
@@ -331,9 +331,9 @@ process_options(int argc, char* argv[]) {
case 'C':
l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0)
- fatal("a non-negative integer must follow `-C'");
+ fatal("a non-negative integer must follow `-C'");
else
- max_seconds_of_cpu_time = l;
+ max_seconds_of_cpu_time = l;
break;
#endif /* defined (PPL_LPSOL_SUPPORTS_LIMIT_ON_CPU_TIME) */
@@ -341,11 +341,11 @@ process_options(int argc, char* argv[]) {
case 'R':
l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0)
- fatal("a non-negative integer must follow `-R'");
+ fatal("a non-negative integer must follow `-R'");
else if (((unsigned long) l) > ULONG_MAX/(1024*1024))
max_bytes_of_virtual_memory = ULONG_MAX;
else
- max_bytes_of_virtual_memory = l*1024*1024;
+ max_bytes_of_virtual_memory = l*1024*1024;
break;
case 'o':
@@ -355,9 +355,9 @@ process_options(int argc, char* argv[]) {
case 'p':
l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0 || l > 2)
- fatal("0 or 1 or 2 must follow `-p'");
+ fatal("0 or 1 or 2 must follow `-p'");
else
- pricing_method = l;
+ pricing_method = l;
break;
case 'e':
@@ -379,9 +379,9 @@ process_options(int argc, char* argv[]) {
case 'v':
l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0 || l > 4)
- fatal("verbosity must be an integer between 0 and 4");
+ fatal("verbosity must be an integer between 0 and 4");
else
- verbosity = l;
+ verbosity = l;
break;
case 'V':
@@ -408,7 +408,7 @@ process_options(int argc, char* argv[]) {
if (enumerate_required
&& (simplex_required
- || incremental_required))
+ || incremental_required))
fatal("-e option is incompatible with -i and -s");
if (enumerate_required)
@@ -428,10 +428,10 @@ process_options(int argc, char* argv[]) {
if (optind >= argc) {
if (verbosity >= 4)
fprintf(stderr,
- "Parma Polyhedra Library version:\n%s\n\n"
- "Parma Polyhedra Library banner:\n%s\n",
- get_ppl_version(),
- get_ppl_banner());
+ "Parma Polyhedra Library version:\n%s\n\n"
+ "Parma Polyhedra Library banner:\n%s\n",
+ get_ppl_version(),
+ get_ppl_banner());
else
fatal("no input files");
}
@@ -601,15 +601,15 @@ maybe_check_results(const int ppl_status, const double ppl_optimum_value) {
}
/* If no_optimization is enabled, the second case is not possibile. */
if (!((ppl_status == PPL_MIP_PROBLEM_STATUS_UNFEASIBLE
- && (glpk_status == LPX_NOFEAS || glpk_status == LPX_I_NOFEAS))
- || (ppl_status == PPL_MIP_PROBLEM_STATUS_UNBOUNDED
- && (glpk_status == LPX_UNBND || glpk_status == LPX_I_UNDEF))
- || (ppl_status == PPL_MIP_PROBLEM_STATUS_OPTIMIZED
- && ((glpk_status == LPX_OPT || glpk_status == LPX_I_OPT)
- /* If no_optimization is enabled, check if the problem is
- unbounded for GLPK. */
- || (no_optimization && (glpk_status == LPX_UNBND
- || glpk_status == LPX_I_UNDEF)))))) {
+ && (glpk_status == LPX_NOFEAS || glpk_status == LPX_I_NOFEAS))
+ || (ppl_status == PPL_MIP_PROBLEM_STATUS_UNBOUNDED
+ && (glpk_status == LPX_UNBND || glpk_status == LPX_I_UNDEF))
+ || (ppl_status == PPL_MIP_PROBLEM_STATUS_OPTIMIZED
+ && ((glpk_status == LPX_OPT || glpk_status == LPX_I_OPT)
+ /* If no_optimization is enabled, check if the problem is
+ unbounded for GLPK. */
+ || (no_optimization && (glpk_status == LPX_UNBND
+ || glpk_status == LPX_I_UNDEF)))))) {
if (ppl_status == PPL_MIP_PROBLEM_STATUS_UNFEASIBLE)
ppl_status_string = "unfeasible";
@@ -645,19 +645,19 @@ maybe_check_results(const int ppl_status, const double ppl_optimum_value) {
}
error("check failed: for GLPK the problem is %s, not %s",
- glpk_status_string, ppl_status_string);
+ glpk_status_string, ppl_status_string);
check_results_failed = 1;
}
else if (!no_optimization
- && ppl_status == PPL_MIP_PROBLEM_STATUS_OPTIMIZED) {
+ && ppl_status == PPL_MIP_PROBLEM_STATUS_OPTIMIZED) {
double glpk_optimum_value = treat_as_lp ? lpx_get_obj_val(glpk_lp)
: lpx_mip_obj_val(glpk_lp);
if (fabs(ppl_optimum_value - glpk_optimum_value) > check_threshold) {
error("check failed: for GLPK the problem's optimum is %.20g,"
- " not %.20g", glpk_optimum_value, ppl_optimum_value);
+ " not %.20g", glpk_optimum_value, ppl_optimum_value);
check_results_failed = 1;
}
}
@@ -676,8 +676,8 @@ variable_output_function(ppl_dimension_type var) {
static void
add_constraints(ppl_Linear_Expression_t ppl_le,
- int type, mpq_t rational_lb, mpq_t rational_ub, mpz_t den_lcm,
- ppl_Constraint_System_t ppl_cs) {
+ int type, mpq_t rational_lb, mpq_t rational_ub, mpz_t den_lcm,
+ ppl_Constraint_System_t ppl_cs) {
ppl_Constraint_t ppl_c;
ppl_Linear_Expression_t ppl_le2;
switch (type) {
@@ -706,7 +706,7 @@ add_constraints(ppl_Linear_Expression_t ppl_le,
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le,
- PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
+ PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
@@ -753,7 +753,7 @@ add_constraints(ppl_Linear_Expression_t ppl_le,
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le,
- PPL_CONSTRAINT_TYPE_EQUAL);
+ PPL_CONSTRAINT_TYPE_EQUAL);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
@@ -770,10 +770,10 @@ add_constraints(ppl_Linear_Expression_t ppl_le,
static int
solve_with_generators(ppl_Constraint_System_t ppl_cs,
- ppl_const_Linear_Expression_t ppl_objective_le,
- ppl_Coefficient_t optimum_n,
- ppl_Coefficient_t optimum_d,
- ppl_Generator_t point) {
+ ppl_const_Linear_Expression_t ppl_objective_le,
+ ppl_Coefficient_t optimum_n,
+ ppl_Coefficient_t optimum_d,
+ ppl_Generator_t point) {
ppl_Polyhedron_t ppl_ph;
int optimum_found = 0;
int empty;
@@ -878,10 +878,10 @@ solve_with_generators(ppl_Constraint_System_t ppl_cs,
static int
solve_with_simplex(ppl_const_Constraint_System_t cs,
- ppl_const_Linear_Expression_t objective,
- ppl_Coefficient_t optimum_n,
- ppl_Coefficient_t optimum_d,
- ppl_Generator_t point) {
+ ppl_const_Linear_Expression_t objective,
+ ppl_Coefficient_t optimum_n,
+ ppl_Coefficient_t optimum_d,
+ ppl_Generator_t point) {
ppl_MIP_Problem_t ppl_mip;
int optimum_found = 0;
int pricing = 0;
@@ -917,7 +917,7 @@ solve_with_simplex(ppl_const_Constraint_System_t cs,
ppl_MIP_Problem_set_optimization_mode(ppl_mip, mode);
if (!no_mip)
ppl_MIP_Problem_add_to_integer_space_dimensions(ppl_mip, integer_variables,
- glpk_lp_num_int);
+ glpk_lp_num_int);
if (incremental) {
/* Add the constraints of `cs' one at a time. */
ppl_new_Constraint_System_const_iterator(&i);
@@ -929,17 +929,17 @@ solve_with_simplex(ppl_const_Constraint_System_t cs,
while (!ppl_Constraint_System_const_iterator_equal_test(i, iend)) {
++counter;
if (verbosity >= 4)
- fprintf(output_file, "\nSolving constraint %d\n", counter);
+ fprintf(output_file, "\nSolving constraint %d\n", counter);
ppl_Constraint_System_const_iterator_dereference(i, &c);
ppl_MIP_Problem_add_constraint(ppl_mip, c);
if (no_optimization) {
- satisfiable = ppl_MIP_Problem_is_satisfiable(ppl_mip);
- if (!satisfiable)
- break;
+ satisfiable = ppl_MIP_Problem_is_satisfiable(ppl_mip);
+ if (!satisfiable)
+ break;
}
else
- status = ppl_MIP_Problem_solve(ppl_mip);
+ status = ppl_MIP_Problem_solve(ppl_mip);
ppl_Constraint_System_const_iterator_increment(i);
}
ppl_delete_Constraint_System_const_iterator(i);
@@ -1069,19 +1069,19 @@ solve(char* file_name) {
/* Read variables constrained to be integer. */
if (glpk_lp_problem_kind == LPX_MIP && !no_mip && use_simplex) {
if (verbosity >= 4)
- fprintf(output_file, "Integer variables:\n");
+ fprintf(output_file, "Integer variables:\n");
glpk_lp_num_int = lpx_get_num_int(glpk_lp);
integer_variables = (ppl_dimension_type*)
- malloc((glpk_lp_num_int + 1)*sizeof(ppl_dimension_type));
+ malloc((glpk_lp_num_int + 1)*sizeof(ppl_dimension_type));
for (i = 0, j = 0; i < dimension; ++i)
- if (lpx_get_col_kind(glpk_lp, i+1) == LPX_IV) {
- integer_variables[j] = i;
- if (verbosity >= 4) {
- ppl_io_fprint_variable(output_file, i);
- fprintf(output_file, " ");
- }
- ++j;
- }
+ if (lpx_get_col_kind(glpk_lp, i+1) == LPX_IV) {
+ integer_variables[j] = i;
+ if (verbosity >= 4) {
+ ppl_io_fprint_variable(output_file, i);
+ fprintf(output_file, " ");
+ }
+ ++j;
+ }
}
coefficient_index = (int*) malloc((dimension+1)*sizeof(int));
coefficient_value = (double*) malloc((dimension+1)*sizeof(double));
@@ -1125,7 +1125,7 @@ solve(char* file_name) {
mpz_divexact(tmp_z, tmp_z, mpq_denref(rational_coefficient[i]));
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_coefficient(ppl_le, coefficient_index[i]-1,
- ppl_coeff);
+ ppl_coeff);
}
add_constraints(ppl_le, type, rational_lb, rational_ub, den_lcm, ppl_cs);
@@ -1219,7 +1219,7 @@ solve(char* file_name) {
mpz_out_str(output_file, 10, den_lcm);
}
fprintf(output_file, "\n%s\n",
- (maximize ? "Maximizing." : "Minimizing."));
+ (maximize ? "Maximizing." : "Minimizing."));
}
ppl_new_Coefficient(&optimum_n);
@@ -1228,15 +1228,15 @@ solve(char* file_name) {
optimum_found = use_simplex
? solve_with_simplex(ppl_cs,
- ppl_objective_le,
- optimum_n,
- optimum_d,
- optimum_location)
+ ppl_objective_le,
+ optimum_n,
+ optimum_d,
+ optimum_location)
: solve_with_generators(ppl_cs,
- ppl_objective_le,
- optimum_n,
- optimum_d,
- optimum_location);
+ ppl_objective_le,
+ optimum_n,
+ optimum_d,
+ optimum_location);
ppl_delete_Linear_Expression(ppl_objective_le);
@@ -1259,11 +1259,11 @@ solve(char* file_name) {
ppl_Generator_divisor(optimum_location, ppl_coeff);
ppl_Coefficient_to_mpz_t(ppl_coeff, tmp_z);
for (i = 0; i < dimension; ++i) {
- mpz_set(mpq_denref(tmp1_q), tmp_z);
- ppl_Generator_coefficient(optimum_location, i, ppl_coeff);
- ppl_Coefficient_to_mpz_t(ppl_coeff, mpq_numref(tmp1_q));
- ppl_io_fprint_variable(output_file, i);
- fprintf(output_file, " = %.10g\n", mpq_get_d(tmp1_q));
+ mpz_set(mpq_denref(tmp1_q), tmp_z);
+ ppl_Generator_coefficient(optimum_location, i, ppl_coeff);
+ ppl_Coefficient_to_mpz_t(ppl_coeff, mpq_numref(tmp1_q));
+ ppl_io_fprint_variable(output_file, i);
+ fprintf(output_file, " = %.10g\n", mpq_get_d(tmp1_q));
}
}
#ifndef NDEBUG
@@ -1278,7 +1278,7 @@ solve(char* file_name) {
}
#endif
maybe_check_results(PPL_MIP_PROBLEM_STATUS_OPTIMIZED,
- mpq_get_d(optimum));
+ mpq_get_d(optimum));
mpq_clear(optimum);
}
@@ -1292,7 +1292,7 @@ solve(char* file_name) {
static void
error_handler(enum ppl_enum_error_code code,
- const char* description) {
+ const char* description) {
if (output_argument)
fprintf(output_file, "PPL error code %d: %s\n", code, description);
fatal("PPL error code %d: %s", code, description);
@@ -1339,7 +1339,7 @@ int
main(int argc, char* argv[]) {
#if defined(PPL_GLPK_HAS__GLP_LIB_PRINT_HOOK)
extern void _glp_lib_print_hook(int (*func)(void *info, const char *buf),
- void *info);
+ void *info);
#endif
program_name = argv[0];
if (ppl_initialize() < 0)
@@ -1357,7 +1357,7 @@ main(int argc, char* argv[]) {
if (strcmp(ppl_source_version, get_ppl_version()) != 0)
fatal("was compiled with PPL version %s, but linked with version %s",
- ppl_source_version, get_ppl_version());
+ ppl_source_version, get_ppl_version());
if (ppl_io_set_variable_output_function(variable_output_function) < 0)
fatal("cannot install the custom variable output function");
diff --git a/demos/ppl_pips/Makefile.am b/demos/ppl_pips/Makefile.am
index 80f567c..81d0b5b 100644
--- a/demos/ppl_pips/Makefile.am
+++ b/demos/ppl_pips/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -56,7 +56,8 @@ piplib_pips.o: $(srcdir)/ppl_pips.cc $(top_builddir)/utils/libppl_utils.a
$(CXXCOMPILE) -c -o $@ -DUSE_PIPLIB $(srcdir)/ppl_pips.cc
piplib_pips: piplib_pips.o
- $(CXXLINK) $< -lpip -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
+ $(CXXLINK) piplib_pips.o\
+ -lpip -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
EXTRA_DIST = \
expected_mpz \
diff --git a/demos/ppl_pips/Makefile.in b/demos/ppl_pips/Makefile.in
index ab8420e..8e50bee 100644
--- a/demos/ppl_pips/Makefile.in
+++ b/demos/ppl_pips/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ host_triplet = @host@
bin_PROGRAMS = ppl_pips$(EXEEXT)
subdir = demos/ppl_pips
DIST_COMMON = $(dist_man_MANS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -102,6 +119,19 @@ ppl_pips_DEPENDENCIES = $(top_builddir)/src/libppl.la \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -114,20 +144,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(ppl_pips_SOURCES)
DIST_SOURCES = $(ppl_pips_SOURCES)
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -137,6 +163,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -474,8 +505,11 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -555,11 +589,18 @@ clean-libtool:
-rm -rf .libs _libs
install-man1: $(dist_man_MANS)
@$(NORMAL_INSTALL)
- test -z "$(man1dir)" || $(MKDIR_P) "$(DESTDIR)$(man1dir)"
- @list=''; test -n "$(man1dir)" || exit 0; \
- { for i in $$list; do echo "$$i"; done; \
- l2='$(dist_man_MANS)'; for i in $$l2; do echo "$$i"; done | \
- sed -n '/\.1[a-z]*$$/p'; \
+ @list1=''; \
+ list2='$(dist_man_MANS)'; \
+ test -n "$(man1dir)" \
+ && test -n "`echo $$list1$$list2`" \
+ || exit 0; \
+ echo " $(MKDIR_P) '$(DESTDIR)$(man1dir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(man1dir)" || exit 1; \
+ { for i in $$list1; do echo "$$i"; done; \
+ if test -n "$$list2"; then \
+ for i in $$list2; do echo "$$i"; done \
+ | sed -n '/\.1[a-z]*$$/p'; \
+ fi; \
} | while read p; do \
if test -f $$p; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; echo "$$p"; \
@@ -591,12 +632,12 @@ uninstall-man1:
dir='$(DESTDIR)$(man1dir)'; $(am__uninstall_files_from_dir)
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -606,7 +647,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -620,37 +665,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -659,6 +673,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -722,6 +740,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -732,10 +764,10 @@ distdir: $(DISTFILES)
if test -f "$$d$$p"; then echo "$$d$$p"; else :; fi; done`; \
if test -n "$$list" && \
grep 'ab help2man is required to generate this page' $$list >/dev/null; then \
- echo "error: found man pages containing the \`missing help2man' replacement text:" >&2; \
+ echo "error: found man pages containing the 'missing help2man' replacement text:" >&2; \
grep -l 'ab help2man is required to generate this page' $$list | sed 's/^/ /' >&2; \
echo " to fix them, install help2man, remove and regenerate the man pages;" >&2; \
- echo " typically \`make maintainer-clean' will remove them" >&2; \
+ echo " typically 'make maintainer-clean' will remove them" >&2; \
exit 1; \
else :; fi; \
else :; fi
@@ -770,13 +802,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -910,22 +939,24 @@ uninstall-am: uninstall-binPROGRAMS uninstall-man
uninstall-man: uninstall-man1
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) check-am \
- ctags-recursive install-am install-strip tags-recursive
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am check-local clean clean-binPROGRAMS \
- clean-generic clean-libtool ctags ctags-recursive distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-binPROGRAMS install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-man1 install-pdf \
- install-pdf-am install-ps install-ps-am install-strip \
- installcheck installcheck-am installdirs installdirs-am \
- maintainer-clean maintainer-clean-generic mostlyclean \
- mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
- pdf pdf-am ps ps-am tags tags-recursive uninstall uninstall-am \
+ clean-generic clean-libtool cscopelist cscopelist-recursive \
+ ctags ctags-recursive distclean distclean-compile \
+ distclean-generic distclean-libtool distclean-tags distdir dvi \
+ dvi-am html html-am info info-am install install-am \
+ install-binPROGRAMS install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-info install-info-am install-man \
+ install-man1 install-pdf install-pdf-am install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs installdirs-am maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-compile \
+ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
+ tags tags-recursive uninstall uninstall-am \
uninstall-binPROGRAMS uninstall-man uninstall-man1
@@ -933,7 +964,8 @@ piplib_pips.o: $(srcdir)/ppl_pips.cc $(top_builddir)/utils/libppl_utils.a
$(CXXCOMPILE) -c -o $@ -DUSE_PIPLIB $(srcdir)/ppl_pips.cc
piplib_pips: piplib_pips.o
- $(CXXLINK) $< -lpip -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
+ $(CXXLINK) piplib_pips.o\
+ -lpip -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a
@HAVE_MD5SUM_TRUE at check-local: ppl_pips$(EXEEXT)
@HAVE_MD5SUM_TRUE@ echo $(TOUGH_EXAMPLES) >tough_examples
diff --git a/demos/ppl_pips/examples/Makefile.am b/demos/ppl_pips/examples/Makefile.am
index 3a669d6..ed5525d 100644
--- a/demos/ppl_pips/examples/Makefile.am
+++ b/demos/ppl_pips/examples/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/demos/ppl_pips/examples/Makefile.in b/demos/ppl_pips/examples/Makefile.in
index b54b37b..d6ae067 100644
--- a/demos/ppl_pips/examples/Makefile.in
+++ b/demos/ppl_pips/examples/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,7 @@ build_triplet = @build@
host_triplet = @host@
subdir = demos/ppl_pips/examples
DIST_COMMON = README $(dist_noinst_DATA) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -92,14 +108,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(dist_noinst_DATA)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
@@ -364,6 +391,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
diff --git a/demos/ppl_pips/ppl_pips.1 b/demos/ppl_pips/ppl_pips.1
index 0b55367..da2b2ea 100644
--- a/demos/ppl_pips/ppl_pips.1
+++ b/demos/ppl_pips/ppl_pips.1
@@ -118,7 +118,7 @@ See the file \fBCREDITS\fR in the source distribution or use the command
Report bugs to <ppl\-devel at cs.unipr.it>.
.SH COPYRIGHT
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010\-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010\-2013 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
diff --git a/demos/ppl_pips/ppl_pips.cc b/demos/ppl_pips/ppl_pips.cc
index b60d2ce..3538cef 100644
--- a/demos/ppl_pips/ppl_pips.cc
+++ b/demos/ppl_pips/ppl_pips.cc
@@ -1,6 +1,6 @@
/* A sort of clone of the cddlib test program `lcdd'.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -138,7 +138,7 @@ pip_display_sol(std::ostream& out,
<< " = " << *i << endl;
}
const Constraint_System &constraints = pip->constraints();
- bool constraints_empty = constraints.empty();
+ const bool constraints_empty = constraints.empty();
if (!constraints_empty) {
out << setw(indent*2) << "" << "if ";
for (Constraint_System::const_iterator
@@ -148,7 +148,7 @@ pip_display_sol(std::ostream& out,
out << ((i == cs_begin) ? "" : " and ") << *i;
out << " then" << endl;
}
- const PIP_Decision_Node* decision_node_p = pip->as_decision();
+ const PIP_Decision_Node* const decision_node_p = pip->as_decision();
if (decision_node_p) {
pip_display_sol(out, decision_node_p->child_node(true),
parameters, vars, space_dimension, indent+1);
@@ -157,7 +157,7 @@ pip_display_sol(std::ostream& out,
parameters, vars, space_dimension, indent+1);
}
else {
- const PIP_Solution_Node* solution_node_p = pip->as_solution();
+ const PIP_Solution_Node* const solution_node_p = pip->as_solution();
out << setw(indent*2 + (constraints_empty ? 0 : 2)) << "" << "{";
for (Variables_Set::const_iterator
v_begin = vars.begin(),
@@ -282,6 +282,7 @@ public:
std::istringstream iss(line);
iss >> bignum_column_coding;
}
+ PPL_ASSERT(bignum_column_coding >= -1);
PPL::dimension_type num_constraints;
PPL::dimension_type constraint_width;
@@ -305,15 +306,16 @@ public:
}
}
- PPL::dimension_type bignum_column = (bignum_column_coding == -1)
+ const PPL::dimension_type bignum_column
+ = (bignum_column_coding == -1)
? PPL::not_a_dimension()
- : (num_vars + (bignum_column_coding - 1));
+ : (num_vars + PPL::dimension_type(bignum_column_coding - 1));
- bool result = update_pip(num_vars, num_params,
- num_constraints, num_ctx_rows,
- constraints, context,
- constraint_type, ctx_type,
- bignum_column);
+ const bool result = update_pip(num_vars, num_params,
+ num_constraints, num_ctx_rows,
+ constraints, context,
+ constraint_type, ctx_type,
+ bignum_column);
return result;
}
@@ -349,9 +351,11 @@ public:
int bignum_column_coding;
in >> bignum_column_coding;
- PPL::dimension_type bignum_column = (bignum_column_coding == -1)
+ PPL_ASSERT(bignum_column_coding >= -1);
+ const PPL::dimension_type bignum_column
+ = (bignum_column_coding == -1)
? PPL::not_a_dimension()
- : (bignum_column_coding - 1);
+ : PPL::dimension_type(bignum_column_coding - 1);
int solve_integer;
in >> solve_integer;
@@ -362,7 +366,7 @@ public:
if (!expect(in, '('))
return false;
- PPL::dimension_type constraint_width = num_vars+num_params+1;
+ const PPL::dimension_type constraint_width = num_vars+num_params+1;
Coeff_Vector constraints(num_constraints * constraint_width);
Int_Vector constraint_type(num_constraints);
for (PPL::dimension_type i = 0; i < num_constraints; ++i)
@@ -379,11 +383,11 @@ public:
if (!read_vector(in, i, num_params+1, num_params, context))
return false;
- bool result = update_pip(num_vars, num_params,
- num_constraints, num_ctx_rows,
- constraints, context,
- constraint_type, ctx_type,
- bignum_column);
+ const bool result = update_pip(num_vars, num_params,
+ num_constraints, num_ctx_rows,
+ constraints, context,
+ constraint_type, ctx_type,
+ bignum_column);
return result;
}
@@ -427,7 +431,7 @@ protected:
if (in.fail())
return false;
std::istringstream iss(s);
- PPL::dimension_type start_index = row_index * row_size;
+ const PPL::dimension_type start_index = row_index * row_size;
PPL::dimension_type k = start_index;
for (PPL::dimension_type i = 0; i < cst_col; ++i, ++k) {
iss >> tab[k];
@@ -559,8 +563,8 @@ set_output(const char* file_name) {
if (file_name) {
output_stream_p = new std::ofstream(file_name,
- std::ios_base::out
- | std::ios_base::app);
+ std::ios_base::out
+ | std::ios_base::app);
if (!*output_stream_p)
fatal("cannot open output file `%s'", file_name);
output_file_name = file_name;
@@ -625,10 +629,10 @@ process_options(int argc, char* argv[]) {
while (true) {
#ifdef PPL_HAVE_GETOPT_H
int option_index = 0;
- int c = getopt_long(argc, argv, OPTION_LETTERS, long_options,
- &option_index);
+ const int c = getopt_long(argc, argv, OPTION_LETTERS, long_options,
+ &option_index);
#else
- int c = getopt(argc, argv, OPTION_LETTERS);
+ const int c = getopt(argc, argv, OPTION_LETTERS);
#endif
if (c == EOF)
@@ -647,14 +651,14 @@ process_options(int argc, char* argv[]) {
case 'R':
{
- const int MEGA = 1024*1024;
- long l = strtol(optarg, &endptr, 10);
+ const unsigned long MEGA = 1024U*1024U;
+ const long l = strtol(optarg, &endptr, 10);
if (*endptr || l < 0)
fatal("a non-negative integer must follow `-R'");
else if (static_cast<unsigned long>(l) > ULONG_MAX/MEGA)
max_bytes_of_virtual_memory = ULONG_MAX;
else
- max_bytes_of_virtual_memory = l*MEGA;
+ max_bytes_of_virtual_memory = static_cast<unsigned long>(l)*MEGA;
}
break;
@@ -681,7 +685,7 @@ process_options(int argc, char* argv[]) {
case 'i':
loop_iterations = strtol(optarg, &endptr, 10);
if (*endptr || loop_iterations < 1)
- fatal("a positive integer must follow `-i'");
+ fatal("a positive integer must follow `-i'");
break;
#if defined(USE_PPL)
@@ -756,12 +760,12 @@ main(int argc, char* argv[]) try {
#if defined(USE_PPL)
if (strcmp(PPL_VERSION, PPL::version()) != 0)
fatal("was compiled with PPL version %s, but linked with version %s",
- PPL_VERSION, PPL::version());
+ PPL_VERSION, PPL::version());
if (verbose)
std::cerr << "Parma Polyhedra Library version:\n" << PPL::version()
- << "\n\nParma Polyhedra Library banner:\n" << PPL::banner()
- << std::endl;
+ << "\n\nParma Polyhedra Library banner:\n" << PPL::banner()
+ << std::endl;
#endif
// Process command line options.
diff --git a/depcomp b/depcomp
index debb6ff..e1f51f4 100755
--- a/depcomp
+++ b/depcomp
@@ -1,7 +1,7 @@
#! /bin/sh
# depcomp - compile a program generating dependencies as side-effects
-scriptversion=2012-03-27.16; # UTC
+scriptversion=2012-07-12.20; # UTC
# Copyright (C) 1999-2012 Free Software Foundation, Inc.
@@ -74,6 +74,9 @@ tmpdepfile=${tmpdepfile-`echo "$depfile" | sed 's/\.\([^.]*\)$/.T\1/'`}
rm -f "$tmpdepfile"
+# Avoid interferences from the environment.
+gccflag= dashmflag=
+
# Some modes work just like other modes, but use different flags. We
# parameterize here, but still list the modes in the big case below,
# to make depend.m4 easier to write. Note that we *cannot* use a case
@@ -108,7 +111,7 @@ if test "$depmode" = msvc7msys; then
fi
if test "$depmode" = xlc; then
- # IBM C/C++ Compilers xlc/xlC can output gcc-like dependency informations.
+ # IBM C/C++ Compilers xlc/xlC can output gcc-like dependency information.
gccflag=-qmakedep=gcc,-MF
depmode=gcc
fi
@@ -142,13 +145,17 @@ gcc3)
;;
gcc)
+## Note that this doesn't just cater to obsosete pre-3.x GCC compilers.
+## but also to in-use compilers like IMB xlc/xlC and the HP C compiler.
+## (see the conditional assignment to $gccflag above).
## There are various ways to get dependency output from gcc. Here's
## why we pick this rather obscure method:
## - Don't want to use -MD because we'd like the dependencies to end
## up in a subdir. Having to rename by hand is ugly.
## (We might end up doing this anyway to support other compilers.)
## - The DEPENDENCIES_OUTPUT environment variable makes gcc act like
-## -MM, not -M (despite what the docs say).
+## -MM, not -M (despite what the docs say). Also, it might not be
+## supported by the other compilers which use the 'gcc' depmode.
## - Using -M directly means running the compiler twice (even worse
## than renaming).
if test -z "$gccflag"; then
@@ -334,6 +341,79 @@ icc)
rm -f "$tmpdepfile"
;;
+## The order of this option in the case statement is important, since the
+## shell code in configure will try each of these formats in the order
+## listed in this file. A plain '-MD' option would be understood by many
+## compilers, so we must ensure this comes after the gcc and icc options.
+pgcc)
+ # Portland's C compiler understands '-MD'.
+ # Will always output deps to 'file.d' where file is the root name of the
+ # source file under compilation, even if file resides in a subdirectory.
+ # The object file name does not affect the name of the '.d' file.
+ # pgcc 10.2 will output
+ # foo.o: sub/foo.c sub/foo.h
+ # and will wrap long lines using '\' :
+ # foo.o: sub/foo.c ... \
+ # sub/foo.h ... \
+ # ...
+ dir=`echo "$object" | sed -e 's|/[^/]*$|/|'`
+ test "x$dir" = "x$object" && dir=
+ # Use the source, not the object, to determine the base name, since
+ # that's sadly what pgcc will do too.
+ base=`echo "$source" | sed -e 's|^.*/||' -e 's/\.[-_a-zA-Z0-9]*$//'`
+ tmpdepfile="$base.d"
+
+ # For projects that build the same source file twice into different object
+ # files, the pgcc approach of using the *source* file root name can cause
+ # problems in parallel builds. Use a locking strategy to avoid stomping on
+ # the same $tmpdepfile.
+ lockdir="$base.d-lock"
+ trap "echo '$0: caught signal, cleaning up...' >&2; rm -rf $lockdir" 1 2 13 15
+ numtries=100
+ i=$numtries
+ while test $i -gt 0 ; do
+ # mkdir is a portable test-and-set.
+ if mkdir $lockdir 2>/dev/null; then
+ # This process acquired the lock.
+ "$@" -MD
+ stat=$?
+ # Release the lock.
+ rm -rf $lockdir
+ break
+ else
+ ## the lock is being held by a different process,
+ ## wait until the winning process is done or we timeout
+ while test -d $lockdir && test $i -gt 0; do
+ sleep 1
+ i=`expr $i - 1`
+ done
+ fi
+ i=`expr $i - 1`
+ done
+ trap - 1 2 13 15
+ if test $i -le 0; then
+ echo "$0: failed to acquire lock after $numtries attempts" >&2
+ echo "$0: check lockdir '$lockdir'" >&2
+ exit 1
+ fi
+
+ if test $stat -ne 0; then
+ rm -f "$tmpdepfile"
+ exit $stat
+ fi
+ rm -f "$depfile"
+ # Each line is of the form `foo.o: dependent.h',
+ # or `foo.o: dep1.h dep2.h \', or ` dep3.h dep4.h \'.
+ # Do two passes, one to just change these to
+ # `$object: dependent.h' and one to simply `dependent.h:'.
+ sed "s,^[^:]*:,$object :," < "$tmpdepfile" > "$depfile"
+ # Some versions of the HPUX 10.20 sed can't process this invocation
+ # correctly. Breaking it into two sed invocations is a workaround.
+ sed 's,^[^:]*: \(.*\)$,\1,;s/^\\$//;/^$/d;/:$/d' < "$tmpdepfile" |
+ sed -e 's/$/ :/' >> "$depfile"
+ rm -f "$tmpdepfile"
+ ;;
+
hp2)
# The "hp" stanza above does not work with aCC (C++) and HP's ia64
# compilers, which have integrated preprocessors. The correct option
diff --git a/doc/Makefile.am b/doc/Makefile.am
index 9cde930..8d5ce89 100644
--- a/doc/Makefile.am
+++ b/doc/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -72,7 +72,7 @@ gpl.dox \
fdl.dox
# NOTE: this variable is used to populate Doxygen configuration tag INPUT.
-# The file path is that of the build directory, hence we ca not use
+# The file path is that of the build directory, hence we cannot use
# variable DOX_LICENSE_FILES defined above.
DOX_LICENSE_INPUT = \
$(srcdir)/gpl.dox \
@@ -134,8 +134,8 @@ user-language-interface.tex
DEVREF_C_INTERFACE_STUFF = \
$(COMMON_C_INTERFACE_STUFF) \
devref-language-interface.tex \
-../interfaces/C/ppl_c_implementation_common.defs.hh \
-../interfaces/C/ppl_c_implementation_common.inlines.hh \
+../interfaces/C/ppl_c_implementation_common_defs.hh \
+../interfaces/C/ppl_c_implementation_common_inlines.hh \
../interfaces/C/ppl_c_implementation_common.cc
@@ -168,8 +168,8 @@ $(top_builddir)/interfaces/C/ppl_c.h
DEVREF_CONFIGURED_C_INTERFACE_STUFF = \
$(COMMON_C_INTERFACE_STUFF) \
$(top_builddir)/interfaces/C/ppl_c.h \
-../interfaces/C/ppl_c_implementation_common.defs.hh \
-../interfaces/C/ppl_c_implementation_common.inlines.hh \
+../interfaces/C/ppl_c_implementation_common_defs.hh \
+../interfaces/C/ppl_c_implementation_common_inlines.hh \
../interfaces/C/ppl_c_implementation_common.cc
endif BUILD_C_INTERFACE
@@ -219,8 +219,8 @@ devref-language-interface.tex \
ppl.sty \
../interfaces/Prolog/Prolog_interface.dox \
$(PROLOG_INTERFACE_ADDITIONAL_DOX_PAGES) \
-../interfaces/Prolog/ppl_prolog_common.defs.hh \
-../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+../interfaces/Prolog/ppl_prolog_common_defs.hh \
+../interfaces/Prolog/ppl_prolog_common_inlines.hh \
../interfaces/Prolog/ppl_prolog_common.cc
@@ -259,8 +259,8 @@ devref-language-interface.tex \
ppl.sty \
../interfaces/Prolog/Prolog_configured_interface.dox \
$(PROLOG_INTERFACE_ADDITIONAL_DOX_PAGES) \
-../interfaces/Prolog/ppl_prolog_common.defs.hh \
-../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+../interfaces/Prolog/ppl_prolog_common_defs.hh \
+../interfaces/Prolog/ppl_prolog_common_inlines.hh \
../interfaces/Prolog/ppl_prolog_common.cc \
$(top_builddir)/interfaces/Prolog/ppl_prolog_domains.hh \
$(top_builddir)/interfaces/Prolog/ppl_prolog_domains.cc.stamp
@@ -304,8 +304,8 @@ $(DOX_LICENSE_FILES) \
devref-language-interface.tex \
ppl.sty \
../interfaces/OCaml/OCaml_interface.dox \
-../interfaces/OCaml/ppl_ocaml_common.defs.hh \
-../interfaces/OCaml/ppl_ocaml_common.inlines.hh \
+../interfaces/OCaml/ppl_ocaml_common_defs.hh \
+../interfaces/OCaml/ppl_ocaml_common_inlines.hh \
../interfaces/OCaml/ppl_ocaml_common.cc \
../interfaces/OCaml/ppl_ocaml_globals.mli
@@ -421,8 +421,8 @@ devref-language-interface.tex \
ppl.sty \
$(JAVA_INTERFACE_JAVA_FILES) \
../interfaces/Java/jni/ppl_java_common.cc \
-../interfaces/Java/jni/ppl_java_common.defs.hh \
-../interfaces/Java/jni/ppl_java_common.inlines.hh \
+../interfaces/Java/jni/ppl_java_common_defs.hh \
+../interfaces/Java/jni/ppl_java_common_inlines.hh \
../interfaces/Java/jni/ppl_java_globals.cc
@@ -872,25 +872,27 @@ TEX_ENV = TEXINPUTS=$(abs_srcdir):$(TEXINPUTS)
user.latex-dir: user.doxyconf-latex $(USER_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) user.doxyconf-latex
devref.latex-dir: devref.doxyconf-latex $(DEVREF_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) devref.doxyconf-latex
ppl-user- at VERSION@.pdf: user.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user.latex-dir refman.pdf \
+ && mv -f user.latex-dir/refman.pdf $@
ppl-devref- at VERSION@.pdf: devref.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref.latex-dir refman.pdf \
+ && mv -f devref.latex-dir/refman.pdf $@
$(USER_CORE_HTML_DIR): user.doxyconf-html $(USER_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) user.doxyconf-html
$(DEVREF_CORE_HTML_DIR): devref.doxyconf-html $(DEVREF_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) devref.doxyconf-html
############################################################################
@@ -933,8 +935,8 @@ $(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/C/ppl_c_header.h \
$(srcdir)/../interfaces/C/C_interface.dox \
$(srcdir)/../interfaces/C/ppl_c_implementation_common.cc \
-$(srcdir)/../interfaces/C/ppl_c_implementation_common.defs.hh \
-$(srcdir)/../interfaces/C/ppl_c_implementation_common.inlines.hh
+$(srcdir)/../interfaces/C/ppl_c_implementation_common_defs.hh \
+$(srcdir)/../interfaces/C/ppl_c_implementation_common_inlines.hh
user-c-interface.latex-dir: \
user-language-interface.doxyconf \
@@ -945,7 +947,8 @@ $(USER_C_INTERFACE_STUFF)
> user-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_USER_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_USER)"'|' \
- $< > Doxyfile.user-c-interface-latex
+ user-language-interface.doxyconf \
+ > Doxyfile.user-c-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-c-interface-latex
devref-c-interface.latex-dir: \
@@ -957,14 +960,17 @@ $(DEVREF_C_INTERFACE_STUFF)
> devref-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_DEVREF_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-c-interface-latex
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-c-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-c-interface-latex
ppl-user-c-interface- at VERSION@.pdf: user-c-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-c-interface.latex-dir refman.pdf \
+ && mv -f user-c-interface.latex-dir/refman.pdf $@
ppl-devref-c-interface- at VERSION@.pdf: devref-c-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-c-interface.latex-dir refman.pdf \
+ && mv -f devref-c-interface.latex-dir/refman.pdf $@
ppl-user-c-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -975,7 +981,8 @@ $(USER_C_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_USER)"'|' \
- $< > Doxyfile.user-c-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-c-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-c-interface-html
ppl-devref-c-interface- at VERSION@-html: \
@@ -987,7 +994,8 @@ $(DEVREF_C_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
> devref-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_DEVREF_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-c-interface-html
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-c-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-c-interface-html
# (System Independent) Prolog Language Interface Targets
@@ -1013,8 +1021,8 @@ $(srcdir)/../interfaces/Prolog/Prolog_interface_sysindep.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_sysindep_domains.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_compilation.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_sysdep.dox \
-$(srcdir)/../interfaces/Prolog/ppl_prolog_common.defs.hh \
-$(srcdir)/../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+$(srcdir)/../interfaces/Prolog/ppl_prolog_common_defs.hh \
+$(srcdir)/../interfaces/Prolog/ppl_prolog_common_inlines.hh \
$(srcdir)/../interfaces/Prolog/ppl_prolog_common.cc
user-prolog-interface.latex-dir: \
@@ -1025,8 +1033,9 @@ $(USER_PROLOG_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
- $< > Doxyfile.user-prolog-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-prolog-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-prolog-interface-latex
devref-prolog-interface.latex-dir: \
@@ -1037,15 +1046,18 @@ $(DEVREF_PROLOG_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-prolog-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-prolog-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-prolog-interface-latex
ppl-user-prolog-interface- at VERSION@.pdf: user-prolog-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-prolog-interface.latex-dir refman.pdf \
+ && mv -f user-prolog-interface.latex-dir/refman.pdf $@
ppl-devref-prolog-interface- at VERSION@.pdf: devref-prolog-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-prolog-interface.latex-dir refman.pdf \
+ && mv -f devref-prolog-interface.latex-dir/refman.pdf $@
ppl-user-prolog-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1055,8 +1067,9 @@ $(USER_PROLOG_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
$(srcdir)/user-language-interface.tex \
> user-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_USER_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
- $< > Doxyfile.user-prolog-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-prolog-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-prolog-interface-html
ppl-devref-prolog-interface- at VERSION@-html: \
@@ -1067,8 +1080,9 @@ $(DEVREF_PROLOG_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-prolog-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf > \
+ Doxyfile.devref-prolog-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-prolog-interface-html
# OCaml Language Interface Targets
@@ -1087,8 +1101,8 @@ SED_OCAML_INPUT_DEVREF = \
$(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/OCaml/OCaml_interface.dox \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.cc \
-$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.defs.hh \
-$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.inlines.hh
+$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_defs.hh \
+$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_inlines.hh
OCAMLDOC_HTML_OPTIONS = \
-I @mlgmp_dir@ -I $(top_builddir)/interfaces/OCaml -html
@@ -1105,8 +1119,9 @@ $(USER_OCAML_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_USER)"'|' \
- $< > Doxyfile.user-ocaml-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_USER)"'|' \
+ user-language-interface.doxyconf > \
+ Doxyfile.user-ocaml-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-ocaml-interface-latex
$(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_globals.mli
@@ -1119,17 +1134,20 @@ $(DEVREF_OCAML_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-ocaml-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-ocaml-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-ocaml-interface-latex
$(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_globals.mli
ppl-user-ocaml-interface- at VERSION@.pdf: user-ocaml-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-ocaml-interface.latex-dir refman.pdf \
+ && mv -f user-ocaml-interface.latex-dir/refman.pdf $@
ppl-devref-ocaml-interface- at VERSION@.pdf: devref-ocaml-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-ocaml-interface.latex-dir refman.pdf \
+ && mv -f devref-ocaml-interface.latex-dir/refman.pdf $@
ppl-user-ocaml-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1140,7 +1158,8 @@ $(USER_OCAML_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_USER)"'|' \
- $< > Doxyfile.user-ocaml-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-ocaml-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-ocaml-interface-html
mkdir $@/ocamldoc
$(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -1154,8 +1173,9 @@ $(DEVREF_OCAML_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-ocaml-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-ocaml-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-ocaml-interface-html
mkdir $@/ocamldoc
$(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -1177,8 +1197,8 @@ SED_JAVA_INPUT_DEVREF = \
$(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/Java/parma_polyhedra_library \
$(srcdir)/../interfaces/Java/jni/ppl_java_common.cc \
-$(srcdir)/../interfaces/Java/jni/ppl_java_common.defs.hh \
-$(srcdir)/../interfaces/Java/jni/ppl_java_common.inlines.hh \
+$(srcdir)/../interfaces/Java/jni/ppl_java_common_defs.hh \
+$(srcdir)/../interfaces/Java/jni/ppl_java_common_inlines.hh \
$(srcdir)/../interfaces/Java/jni/ppl_java_globals.cc
user-java-interface.latex-dir: \
@@ -1189,8 +1209,9 @@ $(USER_JAVA_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
- $< > Doxyfile.user-java-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-java-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-java-interface-latex
devref-java-interface.latex-dir: \
@@ -1201,15 +1222,18 @@ $(DEVREF_JAVA_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-java-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-java-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-java-interface-latex
ppl-user-java-interface- at VERSION@.pdf: user-java-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-java-interface.latex-dir refman.pdf \
+ && mv -f user-java-interface.latex-dir/refman.pdf $@
ppl-devref-java-interface- at VERSION@.pdf: devref-java-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-java-interface.latex-dir refman.pdf \
+ && mv -f devref-java-interface.latex-dir/refman.pdf $@
ppl-user-java-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1219,8 +1243,9 @@ $(USER_JAVA_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
$(srcdir)/user-language-interface.tex \
> user-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_USER_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
- $< > Doxyfile.user-java-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-java-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-java-interface-html
ppl-devref-java-interface- at VERSION@-html: \
@@ -1231,8 +1256,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-java-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-java-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-java-interface-html
############################################################################
@@ -1258,8 +1284,8 @@ $(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/C/C_interface.dox \
../interfaces/C/ppl_c.h \
$(srcdir)/../interfaces/C/ppl_c_implementation_common.cc \
-$(srcdir)/../interfaces/C/ppl_c_implementation_common.defs.hh \
-$(srcdir)/../interfaces/C/ppl_c_implementation_common.inlines.hh
+$(srcdir)/../interfaces/C/ppl_c_implementation_common_defs.hh \
+$(srcdir)/../interfaces/C/ppl_c_implementation_common_inlines.hh
# FIXME add generated files
user-configured-c-interface.latex-dir: \
@@ -1271,7 +1297,8 @@ $(USER_CONFIGURED_C_INTERFACE_STUFF)
> user-configured-c-interface.tex
$(SED) $(SED_CONFIGURED_C_OPTION) $(SED_USER_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-c-interface-latex
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-c-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-c-interface-latex
devref-configured-c-interface.latex-dir: \
@@ -1283,16 +1310,19 @@ $(DEVREF_CONFIGURED_C_INTERFACE_STUFF)
> devref-configured-c-interface.tex
$(SED) $(SED_CONFIGURED_C_OPTION) $(SED_DEVREF_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-c-interface-latex
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-c-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-c-interface-latex
ppl-user-configured-c-interface- at VERSION@.pdf: \
user-configured-c-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-configured-c-interface.latex-dir refman.pdf \
+ && mv -f user-configured-c-interface.latex-dir/refman.pdf $@
ppl-devref-configured-c-interface- at VERSION@.pdf: \
devref-configured-c-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-configured-c-interface.latex-dir refman.pdf \
+ && mv -f devref-configured-c-interface.latex-dir/refman.pdf $@
ppl-user-configured-c-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1303,7 +1333,8 @@ $(USER_CONFIGURED_C_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-configured-c-interface.tex
$(SED) $(SED_CONFIGURED_C_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-c-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-c-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-c-interface-html
ppl-devref-configured-c-interface- at VERSION@-html: \
@@ -1315,7 +1346,8 @@ $(DEVREF_CONFIGURED_C_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
> devref-configured-c-interface.tex
$(SED) $(SED_CONFIGURED_C_OPTION) $(SED_DEVREF_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-c-interface-html
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-c-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-c-interface-html
endif BUILD_C_INTERFACE
@@ -1344,8 +1376,8 @@ $(srcdir)/../interfaces/Prolog/Prolog_interface_sysindep.dox \
../interfaces/Prolog/Prolog_configured_domains.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_compilation.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_sysdep.dox \
-$(srcdir)/../interfaces/Prolog/ppl_prolog_common.defs.hh \
-$(srcdir)/../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+$(srcdir)/../interfaces/Prolog/ppl_prolog_common_defs.hh \
+$(srcdir)/../interfaces/Prolog/ppl_prolog_common_inlines.hh \
$(srcdir)/../interfaces/Prolog/ppl_prolog_common.cc
# FIXME: add appropriate generated files.
@@ -1357,8 +1389,9 @@ $(USER_CONFIGURED_PROLOG_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-configured-prolog-interface.tex
$(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-prolog-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-prolog-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-prolog-interface-latex
devref-configured-prolog-interface.latex-dir: \
@@ -1369,17 +1402,22 @@ $(DEVREF_CONFIGURED_PROLOG_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-configured-prolog-interface.tex
$(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-prolog-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-prolog-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-prolog-interface-latex
ppl-user-configured-prolog-interface- at VERSION@.pdf: \
user-configured-prolog-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-configured-prolog-interface.latex-dir \
+ refman.pdf \
+ && mv -f user-configured-prolog-interface.latex-dir/refman.pdf $@
ppl-devref-configured-prolog-interface- at VERSION@.pdf: \
devref-configured-prolog-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-configured-prolog-interface.latex-dir \
+ refman.pdf \
+ && mv -f devref-configured-prolog-interface.latex-dir/refman.pdf $@
ppl-user-configured-prolog-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1389,8 +1427,9 @@ $(USER_CONFIGURED_PROLOG_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
$(srcdir)/user-language-interface.tex \
> user-configured-prolog-interface.tex
$(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_USER_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-prolog-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-prolog-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-prolog-interface-html
ppl-devref-configured-prolog-interface- at VERSION@-html: \
@@ -1401,8 +1440,9 @@ $(DEVREF_CONFIGURED_PROLOG_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-configured-prolog-interface.tex
$(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-prolog-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-prolog-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-prolog-interface-html
endif BUILD_SOME_PROLOG_INTERFACES
@@ -1424,8 +1464,8 @@ SED_CONFIGURED_OCAML_INPUT_DEVREF = \
$(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/OCaml/OCaml_interface.dox \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.cc \
-$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.defs.hh \
-$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.inlines.hh
+$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_defs.hh \
+$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_inlines.hh
user-configured-ocaml-interface.latex-dir: \
user-language-interface.doxyconf \
@@ -1435,8 +1475,9 @@ $(USER_CONFIGURED_OCAML_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-configured-ocaml-interface.tex
$(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-ocaml-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-ocaml-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-ocaml-interface-latex
$(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
../interfaces/OCaml/ppl_ocaml.mli
@@ -1449,19 +1490,24 @@ $(DEVREF_CONFIGURED_OCAML_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-configured-ocaml-interface.tex
$(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-ocaml-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-ocaml-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-ocaml-interface-latex
$(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
../interfaces/OCaml/ppl_ocaml.mli
ppl-user-configured-ocaml-interface- at VERSION@.pdf: \
user-configured-ocaml-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-configured-ocaml-interface.latex-dir \
+ refman.pdf \
+ && mv -f user-configured-ocaml-interface.latex-dir/refman.pdf $@
ppl-devref-configured-ocaml-interface- at VERSION@.pdf: \
devref-configured-ocaml-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-configured-ocaml-interface.latex-dir \
+ refman.pdf \
+ && mv -f devref-configured-ocaml-interface.latex-dir/refman.pdf $@
ppl-user-configured-ocaml-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1472,7 +1518,8 @@ $(USER_CONFIGURED_OCAML_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-configured-ocaml-interface.tex
$(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-ocaml-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-ocaml-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-ocaml-interface-html
mkdir $@/ocamldoc
$(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -1486,8 +1533,9 @@ $(DEVREF_CONFIGURED_OCAML_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-configured-ocaml-interface.tex
$(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-ocaml-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-ocaml-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-ocaml-interface-html
mkdir $@/ocamldoc
$(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -1527,7 +1575,8 @@ $(USER_CONFIGURED_JAVA_INTERFACE_STUFF)
> user-configured-java-interface.tex
$(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_USER_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-java-interface-latex
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-java-interface-latex
echo "HIDE_UNDOC_MEMBERS = NO" \
>> Doxyfile.user-configured-java-interface-latex
echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
@@ -1543,18 +1592,23 @@ $(DEVREF_CONFIGURED_JAVA_INTERFACE_STUFF)
> devref-configured-java-interface.tex
$(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_DEVREF_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-java-interface-latex
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-java-interface-latex
echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
>> Doxyfile.devref-configured-java-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-java-interface-latex
ppl-user-configured-java-interface- at VERSION@.pdf: \
user-configured-java-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-configured-java-interface.latex-dir \
+ refman.pdf \
+ && mv -f user-configured-java-interface.latex-dir/refman.pdf $@
ppl-devref-configured-java-interface- at VERSION@.pdf: \
devref-configured-java-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-configured-java-interface.latex-dir \
+ refman.pdf \
+ && mv -f devref-configured-java-interface.latex-dir/refman.pdf $@
ppl-user-configured-java-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1565,7 +1619,8 @@ $(USER_CONFIGURED_JAVA_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-configured-java-interface.tex
$(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_USER)"'|' \
- $< > Doxyfile.user-configured-java-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-configured-java-interface-html
echo "HIDE_UNDOC_MEMBERS = NO" \
>> Doxyfile.user-configured-java-interface-html
echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
@@ -1581,7 +1636,8 @@ $(DEVREF_CONFIGURED_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
> devref-configured-java-interface.tex
$(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_DEVREF_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-configured-java-interface-html
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-configured-java-interface-html
echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
>> Doxyfile.devref-configured-java-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-java-interface-html
diff --git a/doc/Makefile.in b/doc/Makefile.in
index 1501beb..72bd47a 100644
--- a/doc/Makefile.in
+++ b/doc/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -64,7 +80,7 @@ DIST_COMMON = $(dist_man_MANS) $(srcdir)/Makefile.am \
$(srcdir)/devref.doxyconf-latex.in \
$(srcdir)/user-language-interface.doxyconf.in \
$(srcdir)/user.doxyconf-html.in \
- $(srcdir)/user.doxyconf-latex.in
+ $(srcdir)/user.doxyconf-latex.in $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -100,14 +116,25 @@ CONFIG_CLEAN_FILES = user.doxyconf-latex devref.doxyconf-latex \
user-language-interface.doxyconf \
devref-language-interface.doxyconf
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -377,7 +404,7 @@ fdl.dox
# NOTE: this variable is used to populate Doxygen configuration tag INPUT.
-# The file path is that of the build directory, hence we ca not use
+# The file path is that of the build directory, hence we cannot use
# variable DOX_LICENSE_FILES defined above.
DOX_LICENSE_INPUT = \
$(srcdir)/gpl.dox \
@@ -440,8 +467,8 @@ $(PPL_SOURCE_FILES)
@BUILD_C_INTERFACE_TRUE at DEVREF_C_INTERFACE_STUFF = \
@BUILD_C_INTERFACE_TRUE@$(COMMON_C_INTERFACE_STUFF) \
@BUILD_C_INTERFACE_TRUE at devref-language-interface.tex \
- at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common.defs.hh \
- at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common.inlines.hh \
+ at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common_defs.hh \
+ at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common_inlines.hh \
@BUILD_C_INTERFACE_TRUE at ../interfaces/C/ppl_c_implementation_common.cc
@@ -477,8 +504,8 @@ $(PPL_SOURCE_FILES)
@BUILD_C_INTERFACE_TRUE at DEVREF_CONFIGURED_C_INTERFACE_STUFF = \
@BUILD_C_INTERFACE_TRUE@$(COMMON_C_INTERFACE_STUFF) \
@BUILD_C_INTERFACE_TRUE@$(top_builddir)/interfaces/C/ppl_c.h \
- at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common.defs.hh \
- at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common.inlines.hh \
+ at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common_defs.hh \
+ at BUILD_C_INTERFACE_TRUE@../interfaces/C/ppl_c_implementation_common_inlines.hh \
@BUILD_C_INTERFACE_TRUE at ../interfaces/C/ppl_c_implementation_common.cc
@@ -526,8 +553,8 @@ $(PPL_SOURCE_FILES)
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ppl.sty \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ../interfaces/Prolog/Prolog_interface.dox \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(PROLOG_INTERFACE_ADDITIONAL_DOX_PAGES) \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common.defs.hh \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common_defs.hh \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common_inlines.hh \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ../interfaces/Prolog/ppl_prolog_common.cc
@@ -569,8 +596,8 @@ $(PPL_SOURCE_FILES)
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ppl.sty \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ../interfaces/Prolog/Prolog_configured_interface.dox \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(PROLOG_INTERFACE_ADDITIONAL_DOX_PAGES) \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common.defs.hh \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common_defs.hh \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@../interfaces/Prolog/ppl_prolog_common_inlines.hh \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ../interfaces/Prolog/ppl_prolog_common.cc \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(top_builddir)/interfaces/Prolog/ppl_prolog_domains.hh \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(top_builddir)/interfaces/Prolog/ppl_prolog_domains.cc.stamp
@@ -613,8 +640,8 @@ $(PPL_SOURCE_FILES)
@BUILD_OCAML_INTERFACE_TRUE at devref-language-interface.tex \
@BUILD_OCAML_INTERFACE_TRUE at ppl.sty \
@BUILD_OCAML_INTERFACE_TRUE at ../interfaces/OCaml/OCaml_interface.dox \
- at BUILD_OCAML_INTERFACE_TRUE@../interfaces/OCaml/ppl_ocaml_common.defs.hh \
- at BUILD_OCAML_INTERFACE_TRUE@../interfaces/OCaml/ppl_ocaml_common.inlines.hh \
+ at BUILD_OCAML_INTERFACE_TRUE@../interfaces/OCaml/ppl_ocaml_common_defs.hh \
+ at BUILD_OCAML_INTERFACE_TRUE@../interfaces/OCaml/ppl_ocaml_common_inlines.hh \
@BUILD_OCAML_INTERFACE_TRUE at ../interfaces/OCaml/ppl_ocaml_common.cc \
@BUILD_OCAML_INTERFACE_TRUE at ../interfaces/OCaml/ppl_ocaml_globals.mli
@@ -733,8 +760,8 @@ $(PPL_SOURCE_FILES)
@BUILD_JAVA_INTERFACE_TRUE at ppl.sty \
@BUILD_JAVA_INTERFACE_TRUE@$(JAVA_INTERFACE_JAVA_FILES) \
@BUILD_JAVA_INTERFACE_TRUE at ../interfaces/Java/jni/ppl_java_common.cc \
- at BUILD_JAVA_INTERFACE_TRUE@../interfaces/Java/jni/ppl_java_common.defs.hh \
- at BUILD_JAVA_INTERFACE_TRUE@../interfaces/Java/jni/ppl_java_common.inlines.hh \
+ at BUILD_JAVA_INTERFACE_TRUE@../interfaces/Java/jni/ppl_java_common_defs.hh \
+ at BUILD_JAVA_INTERFACE_TRUE@../interfaces/Java/jni/ppl_java_common_inlines.hh \
@BUILD_JAVA_INTERFACE_TRUE at ../interfaces/Java/jni/ppl_java_globals.cc
@@ -978,8 +1005,8 @@ $(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/C/ppl_c_header.h \
$(srcdir)/../interfaces/C/C_interface.dox \
$(srcdir)/../interfaces/C/ppl_c_implementation_common.cc \
-$(srcdir)/../interfaces/C/ppl_c_implementation_common.defs.hh \
-$(srcdir)/../interfaces/C/ppl_c_implementation_common.inlines.hh
+$(srcdir)/../interfaces/C/ppl_c_implementation_common_defs.hh \
+$(srcdir)/../interfaces/C/ppl_c_implementation_common_inlines.hh
# (System Independent) Prolog Language Interface Targets
@@ -1004,8 +1031,8 @@ $(srcdir)/../interfaces/Prolog/Prolog_interface_sysindep.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_sysindep_domains.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_compilation.dox \
$(srcdir)/../interfaces/Prolog/Prolog_interface_sysdep.dox \
-$(srcdir)/../interfaces/Prolog/ppl_prolog_common.defs.hh \
-$(srcdir)/../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+$(srcdir)/../interfaces/Prolog/ppl_prolog_common_defs.hh \
+$(srcdir)/../interfaces/Prolog/ppl_prolog_common_inlines.hh \
$(srcdir)/../interfaces/Prolog/ppl_prolog_common.cc
@@ -1024,8 +1051,8 @@ SED_OCAML_INPUT_DEVREF = \
$(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/OCaml/OCaml_interface.dox \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.cc \
-$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.defs.hh \
-$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.inlines.hh
+$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_defs.hh \
+$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_inlines.hh
OCAMLDOC_HTML_OPTIONS = \
-I @mlgmp_dir@ -I $(top_builddir)/interfaces/OCaml -html
@@ -1050,8 +1077,8 @@ SED_JAVA_INPUT_DEVREF = \
$(DOX_LICENSE_INPUT) \
$(srcdir)/../interfaces/Java/parma_polyhedra_library \
$(srcdir)/../interfaces/Java/jni/ppl_java_common.cc \
-$(srcdir)/../interfaces/Java/jni/ppl_java_common.defs.hh \
-$(srcdir)/../interfaces/Java/jni/ppl_java_common.inlines.hh \
+$(srcdir)/../interfaces/Java/jni/ppl_java_common_defs.hh \
+$(srcdir)/../interfaces/Java/jni/ppl_java_common_inlines.hh \
$(srcdir)/../interfaces/Java/jni/ppl_java_globals.cc
@@ -1076,8 +1103,8 @@ $(srcdir)/../interfaces/Java/jni/ppl_java_globals.cc
@BUILD_C_INTERFACE_TRUE@$(srcdir)/../interfaces/C/C_interface.dox \
@BUILD_C_INTERFACE_TRUE at ../interfaces/C/ppl_c.h \
@BUILD_C_INTERFACE_TRUE@$(srcdir)/../interfaces/C/ppl_c_implementation_common.cc \
- at BUILD_C_INTERFACE_TRUE@$(srcdir)/../interfaces/C/ppl_c_implementation_common.defs.hh \
- at BUILD_C_INTERFACE_TRUE@$(srcdir)/../interfaces/C/ppl_c_implementation_common.inlines.hh
+ at BUILD_C_INTERFACE_TRUE@$(srcdir)/../interfaces/C/ppl_c_implementation_common_defs.hh \
+ at BUILD_C_INTERFACE_TRUE@$(srcdir)/../interfaces/C/ppl_c_implementation_common_inlines.hh
# Configuration-Dependent Prolog Language Interface Targets
@@ -1102,8 +1129,8 @@ $(srcdir)/../interfaces/Java/jni/ppl_java_globals.cc
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ../interfaces/Prolog/Prolog_configured_domains.dox \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/Prolog_interface_compilation.dox \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/Prolog_interface_sysdep.dox \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/ppl_prolog_common.defs.hh \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/ppl_prolog_common.inlines.hh \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/ppl_prolog_common_defs.hh \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/ppl_prolog_common_inlines.hh \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@$(srcdir)/../interfaces/Prolog/ppl_prolog_common.cc
@@ -1122,8 +1149,8 @@ $(srcdir)/../interfaces/Java/jni/ppl_java_globals.cc
@BUILD_OCAML_INTERFACE_TRUE@$(DOX_LICENSE_INPUT) \
@BUILD_OCAML_INTERFACE_TRUE@$(srcdir)/../interfaces/OCaml/OCaml_interface.dox \
@BUILD_OCAML_INTERFACE_TRUE@$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.cc \
- at BUILD_OCAML_INTERFACE_TRUE@$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.defs.hh \
- at BUILD_OCAML_INTERFACE_TRUE@$(srcdir)/../interfaces/OCaml/ppl_ocaml_common.inlines.hh
+ at BUILD_OCAML_INTERFACE_TRUE@$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_defs.hh \
+ at BUILD_OCAML_INTERFACE_TRUE@$(srcdir)/../interfaces/OCaml/ppl_ocaml_common_inlines.hh
# Configuration-Dependent Java Language Interface Targets
@@ -1234,11 +1261,18 @@ clean-libtool:
-rm -rf .libs _libs
install-man1: $(dist_man_MANS)
@$(NORMAL_INSTALL)
- test -z "$(man1dir)" || $(MKDIR_P) "$(DESTDIR)$(man1dir)"
- @list=''; test -n "$(man1dir)" || exit 0; \
- { for i in $$list; do echo "$$i"; done; \
- l2='$(dist_man_MANS)'; for i in $$l2; do echo "$$i"; done | \
- sed -n '/\.1[a-z]*$$/p'; \
+ @list1=''; \
+ list2='$(dist_man_MANS)'; \
+ test -n "$(man1dir)" \
+ && test -n "`echo $$list1$$list2`" \
+ || exit 0; \
+ echo " $(MKDIR_P) '$(DESTDIR)$(man1dir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(man1dir)" || exit 1; \
+ { for i in $$list1; do echo "$$i"; done; \
+ if test -n "$$list2"; then \
+ for i in $$list2; do echo "$$i"; done \
+ | sed -n '/\.1[a-z]*$$/p'; \
+ fi; \
} | while read p; do \
if test -f $$p; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; echo "$$p"; \
@@ -1270,11 +1304,18 @@ uninstall-man1:
dir='$(DESTDIR)$(man1dir)'; $(am__uninstall_files_from_dir)
install-man3: $(dist_man_MANS)
@$(NORMAL_INSTALL)
- test -z "$(man3dir)" || $(MKDIR_P) "$(DESTDIR)$(man3dir)"
- @list=''; test -n "$(man3dir)" || exit 0; \
- { for i in $$list; do echo "$$i"; done; \
- l2='$(dist_man_MANS)'; for i in $$l2; do echo "$$i"; done | \
- sed -n '/\.3[a-z]*$$/p'; \
+ @list1=''; \
+ list2='$(dist_man_MANS)'; \
+ test -n "$(man3dir)" \
+ && test -n "`echo $$list1$$list2`" \
+ || exit 0; \
+ echo " $(MKDIR_P) '$(DESTDIR)$(man3dir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(man3dir)" || exit 1; \
+ { for i in $$list1; do echo "$$i"; done; \
+ if test -n "$$list2"; then \
+ for i in $$list2; do echo "$$i"; done \
+ | sed -n '/\.3[a-z]*$$/p'; \
+ fi; \
} | while read p; do \
if test -f $$p; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; echo "$$p"; \
@@ -1310,6 +1351,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@list='$(MANS)'; if test -n "$$list"; then \
@@ -1318,10 +1361,10 @@ distdir: $(DISTFILES)
if test -f "$$d$$p"; then echo "$$d$$p"; else :; fi; done`; \
if test -n "$$list" && \
grep 'ab help2man is required to generate this page' $$list >/dev/null; then \
- echo "error: found man pages containing the \`missing help2man' replacement text:" >&2; \
+ echo "error: found man pages containing the 'missing help2man' replacement text:" >&2; \
grep -l 'ab help2man is required to generate this page' $$list | sed 's/^/ /' >&2; \
echo " to fix them, install help2man, remove and regenerate the man pages;" >&2; \
- echo " typically \`make maintainer-clean' will remove them" >&2; \
+ echo " typically 'make maintainer-clean' will remove them" >&2; \
exit 1; \
else :; fi; \
else :; fi
@@ -1684,25 +1727,27 @@ uninstall-txt:
user.latex-dir: user.doxyconf-latex $(USER_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) user.doxyconf-latex
devref.latex-dir: devref.doxyconf-latex $(DEVREF_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) devref.doxyconf-latex
ppl-user- at VERSION@.pdf: user.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user.latex-dir refman.pdf \
+ && mv -f user.latex-dir/refman.pdf $@
ppl-devref- at VERSION@.pdf: devref.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref.latex-dir refman.pdf \
+ && mv -f devref.latex-dir/refman.pdf $@
$(USER_CORE_HTML_DIR): user.doxyconf-html $(USER_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) user.doxyconf-html
$(DEVREF_CORE_HTML_DIR): devref.doxyconf-html $(DEVREF_CORE_STUFF)
rm -rf $@
- $(TEX_ENV) $(DOXYGEN) $<
+ $(TEX_ENV) $(DOXYGEN) devref.doxyconf-html
user-c-interface.latex-dir: \
user-language-interface.doxyconf \
@@ -1713,7 +1758,8 @@ $(USER_C_INTERFACE_STUFF)
> user-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_USER_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_USER)"'|' \
- $< > Doxyfile.user-c-interface-latex
+ user-language-interface.doxyconf \
+ > Doxyfile.user-c-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-c-interface-latex
devref-c-interface.latex-dir: \
@@ -1725,14 +1771,17 @@ $(DEVREF_C_INTERFACE_STUFF)
> devref-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_DEVREF_LATEX_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-c-interface-latex
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-c-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-c-interface-latex
ppl-user-c-interface- at VERSION@.pdf: user-c-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-c-interface.latex-dir refman.pdf \
+ && mv -f user-c-interface.latex-dir/refman.pdf $@
ppl-devref-c-interface- at VERSION@.pdf: devref-c-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-c-interface.latex-dir refman.pdf \
+ && mv -f devref-c-interface.latex-dir/refman.pdf $@
ppl-user-c-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1743,7 +1792,8 @@ $(USER_C_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_USER)"'|' \
- $< > Doxyfile.user-c-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-c-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-c-interface-html
ppl-devref-c-interface- at VERSION@-html: \
@@ -1755,7 +1805,8 @@ $(DEVREF_C_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
> devref-c-interface.tex
$(SED) $(SED_C_OPTION) $(SED_DEVREF_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_C_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-c-interface-html
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-c-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-c-interface-html
user-prolog-interface.latex-dir: \
@@ -1766,8 +1817,9 @@ $(USER_PROLOG_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
- $< > Doxyfile.user-prolog-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-prolog-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-prolog-interface-latex
devref-prolog-interface.latex-dir: \
@@ -1778,15 +1830,18 @@ $(DEVREF_PROLOG_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-prolog-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-prolog-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-prolog-interface-latex
ppl-user-prolog-interface- at VERSION@.pdf: user-prolog-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-prolog-interface.latex-dir refman.pdf \
+ && mv -f user-prolog-interface.latex-dir/refman.pdf $@
ppl-devref-prolog-interface- at VERSION@.pdf: devref-prolog-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-prolog-interface.latex-dir refman.pdf \
+ && mv -f devref-prolog-interface.latex-dir/refman.pdf $@
ppl-user-prolog-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1796,8 +1851,9 @@ $(USER_PROLOG_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
$(srcdir)/user-language-interface.tex \
> user-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_USER_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
- $< > Doxyfile.user-prolog-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-prolog-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-prolog-interface-html
ppl-devref-prolog-interface- at VERSION@-html: \
@@ -1808,8 +1864,9 @@ $(DEVREF_PROLOG_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-prolog-interface.tex
$(SED) $(SED_PROLOG_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-prolog-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_PROLOG_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf > \
+ Doxyfile.devref-prolog-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-prolog-interface-html
user-ocaml-interface.latex-dir: \
@@ -1820,8 +1877,9 @@ $(USER_OCAML_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_USER)"'|' \
- $< > Doxyfile.user-ocaml-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_USER)"'|' \
+ user-language-interface.doxyconf > \
+ Doxyfile.user-ocaml-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-ocaml-interface-latex
$(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_globals.mli
@@ -1834,17 +1892,20 @@ $(DEVREF_OCAML_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-ocaml-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-ocaml-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-ocaml-interface-latex
$(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
$(srcdir)/../interfaces/OCaml/ppl_ocaml_globals.mli
ppl-user-ocaml-interface- at VERSION@.pdf: user-ocaml-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-ocaml-interface.latex-dir refman.pdf \
+ && mv -f user-ocaml-interface.latex-dir/refman.pdf $@
ppl-devref-ocaml-interface- at VERSION@.pdf: devref-ocaml-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-ocaml-interface.latex-dir refman.pdf \
+ && mv -f devref-ocaml-interface.latex-dir/refman.pdf $@
ppl-user-ocaml-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1855,7 +1916,8 @@ $(USER_OCAML_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
> user-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_USER_HTML_OPTION) \
-e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_USER)"'|' \
- $< > Doxyfile.user-ocaml-interface-html
+ user-language-interface.doxyconf \
+ > Doxyfile.user-ocaml-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-ocaml-interface-html
mkdir $@/ocamldoc
$(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -1869,8 +1931,9 @@ $(DEVREF_OCAML_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-ocaml-interface.tex
$(SED) $(SED_OCAML_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-ocaml-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_OCAML_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-ocaml-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-ocaml-interface-html
mkdir $@/ocamldoc
$(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -1884,8 +1947,9 @@ $(USER_JAVA_INTERFACE_STUFF)
$(srcdir)/user-language-interface.tex \
> user-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_USER_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
- $< > Doxyfile.user-java-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-java-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-java-interface-latex
devref-java-interface.latex-dir: \
@@ -1896,15 +1960,18 @@ $(DEVREF_JAVA_INTERFACE_STUFF)
$(srcdir)/devref-language-interface.tex \
> devref-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-java-interface-latex
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-java-interface-latex
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-java-interface-latex
ppl-user-java-interface- at VERSION@.pdf: user-java-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C user-java-interface.latex-dir refman.pdf \
+ && mv -f user-java-interface.latex-dir/refman.pdf $@
ppl-devref-java-interface- at VERSION@.pdf: devref-java-interface.latex-dir
- $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ $(TEX_ENV) make -C devref-java-interface.latex-dir refman.pdf \
+ && mv -f devref-java-interface.latex-dir/refman.pdf $@
ppl-user-java-interface- at VERSION@-html: \
user-language-interface.doxyconf \
@@ -1914,8 +1981,9 @@ $(USER_JAVA_INTERFACE_STUFF) $(USER_CORE_HTML_DIR)
$(srcdir)/user-language-interface.tex \
> user-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_USER_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
- $< > Doxyfile.user-java-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_USER)"'|' \
+ user-language-interface.doxyconf \
+ > Doxyfile.user-java-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.user-java-interface-html
ppl-devref-java-interface- at VERSION@-html: \
@@ -1926,8 +1994,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
$(srcdir)/devref-language-interface.tex \
> devref-java-interface.tex
$(SED) $(SED_JAVA_OPTION) $(SED_DEVREF_HTML_OPTION) \
- -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
- $< > Doxyfile.devref-java-interface-html
+ -e 's|<PPL_SED_INPUT>|'"$(SED_JAVA_INPUT_DEVREF)"'|' \
+ devref-language-interface.doxyconf \
+ > Doxyfile.devref-java-interface-html
$(TEX_ENV) $(DOXYGEN) Doxyfile.devref-java-interface-html
# FIXME add generated files
@@ -1940,7 +2009,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_C_INTERFACE_TRUE@ > user-configured-c-interface.tex
@BUILD_C_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_C_OPTION) $(SED_USER_LATEX_OPTION) \
@BUILD_C_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_USER)"'|' \
- at BUILD_C_INTERFACE_TRUE@ $< > Doxyfile.user-configured-c-interface-latex
+ at BUILD_C_INTERFACE_TRUE@ user-language-interface.doxyconf \
+ at BUILD_C_INTERFACE_TRUE@ > Doxyfile.user-configured-c-interface-latex
@BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-c-interface-latex
@BUILD_C_INTERFACE_TRUE at devref-configured-c-interface.latex-dir: \
@@ -1952,16 +2022,19 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_C_INTERFACE_TRUE@ > devref-configured-c-interface.tex
@BUILD_C_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_C_OPTION) $(SED_DEVREF_LATEX_OPTION) \
@BUILD_C_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_DEVREF)"'|' \
- at BUILD_C_INTERFACE_TRUE@ $< > Doxyfile.devref-configured-c-interface-latex
+ at BUILD_C_INTERFACE_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_C_INTERFACE_TRUE@ > Doxyfile.devref-configured-c-interface-latex
@BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-c-interface-latex
@BUILD_C_INTERFACE_TRUE at ppl-user-configured-c-interface-@VERSION at .pdf: \
@BUILD_C_INTERFACE_TRUE at user-configured-c-interface.latex-dir
- at BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) make -C user-configured-c-interface.latex-dir refman.pdf \
+ at BUILD_C_INTERFACE_TRUE@ && mv -f user-configured-c-interface.latex-dir/refman.pdf $@
@BUILD_C_INTERFACE_TRUE at ppl-devref-configured-c-interface-@VERSION at .pdf: \
@BUILD_C_INTERFACE_TRUE at devref-configured-c-interface.latex-dir
- at BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) make -C devref-configured-c-interface.latex-dir refman.pdf \
+ at BUILD_C_INTERFACE_TRUE@ && mv -f devref-configured-c-interface.latex-dir/refman.pdf $@
@BUILD_C_INTERFACE_TRUE at ppl-user-configured-c-interface-@VERSION at -html: \
@BUILD_C_INTERFACE_TRUE at user-language-interface.doxyconf \
@@ -1972,7 +2045,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_C_INTERFACE_TRUE@ > user-configured-c-interface.tex
@BUILD_C_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_C_OPTION) $(SED_USER_HTML_OPTION) \
@BUILD_C_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_USER)"'|' \
- at BUILD_C_INTERFACE_TRUE@ $< > Doxyfile.user-configured-c-interface-html
+ at BUILD_C_INTERFACE_TRUE@ user-language-interface.doxyconf \
+ at BUILD_C_INTERFACE_TRUE@ > Doxyfile.user-configured-c-interface-html
@BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-c-interface-html
@BUILD_C_INTERFACE_TRUE at ppl-devref-configured-c-interface-@VERSION at -html: \
@@ -1984,7 +2058,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_C_INTERFACE_TRUE@ > devref-configured-c-interface.tex
@BUILD_C_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_C_OPTION) $(SED_DEVREF_HTML_OPTION) \
@BUILD_C_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_C_INPUT_DEVREF)"'|' \
- at BUILD_C_INTERFACE_TRUE@ $< > Doxyfile.devref-configured-c-interface-html
+ at BUILD_C_INTERFACE_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_C_INTERFACE_TRUE@ > Doxyfile.devref-configured-c-interface-html
@BUILD_C_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-c-interface-html
# FIXME: add appropriate generated files.
@@ -1996,8 +2071,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(srcdir)/user-language-interface.tex \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ > user-configured-prolog-interface.tex
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_USER_LATEX_OPTION) \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $< > Doxyfile.user-configured-prolog-interface-latex
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ user-language-interface.doxyconf \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ > Doxyfile.user-configured-prolog-interface-latex
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-prolog-interface-latex
@BUILD_SOME_PROLOG_INTERFACES_TRUE at devref-configured-prolog-interface.latex-dir: \
@@ -2008,17 +2084,22 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(srcdir)/devref-language-interface.tex \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ > devref-configured-prolog-interface.tex
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $< > Doxyfile.devref-configured-prolog-interface-latex
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ > Doxyfile.devref-configured-prolog-interface-latex
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-prolog-interface-latex
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ppl-user-configured-prolog-interface-@VERSION at .pdf: \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at user-configured-prolog-interface.latex-dir
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) make -C user-configured-prolog-interface.latex-dir \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ refman.pdf \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ && mv -f user-configured-prolog-interface.latex-dir/refman.pdf $@
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ppl-devref-configured-prolog-interface-@VERSION at .pdf: \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at devref-configured-prolog-interface.latex-dir
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) make -C devref-configured-prolog-interface.latex-dir \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ refman.pdf \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ && mv -f devref-configured-prolog-interface.latex-dir/refman.pdf $@
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ppl-user-configured-prolog-interface-@VERSION at -html: \
@BUILD_SOME_PROLOG_INTERFACES_TRUE at user-language-interface.doxyconf \
@@ -2028,8 +2109,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(srcdir)/user-language-interface.tex \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ > user-configured-prolog-interface.tex
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_USER_HTML_OPTION) \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $< > Doxyfile.user-configured-prolog-interface-html
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_USER)"'|' \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ user-language-interface.doxyconf \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ > Doxyfile.user-configured-prolog-interface-html
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-prolog-interface-html
@BUILD_SOME_PROLOG_INTERFACES_TRUE at ppl-devref-configured-prolog-interface-@VERSION at -html: \
@@ -2040,8 +2122,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(srcdir)/devref-language-interface.tex \
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ > devref-configured-prolog-interface.tex
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(SED) $(SED_CONFIGURED_PROLOG_OPTION) $(SED_DEVREF_HTML_OPTION) \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
- at BUILD_SOME_PROLOG_INTERFACES_TRUE@ $< > Doxyfile.devref-configured-prolog-interface-html
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_PROLOG_INPUT_DEVREF)"'|' \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_SOME_PROLOG_INTERFACES_TRUE@ > Doxyfile.devref-configured-prolog-interface-html
@BUILD_SOME_PROLOG_INTERFACES_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-prolog-interface-html
@BUILD_OCAML_INTERFACE_TRUE at user-configured-ocaml-interface.latex-dir: \
@@ -2052,8 +2135,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_OCAML_INTERFACE_TRUE@ $(srcdir)/user-language-interface.tex \
@BUILD_OCAML_INTERFACE_TRUE@ > user-configured-ocaml-interface.tex
@BUILD_OCAML_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_USER_LATEX_OPTION) \
- at BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_USER)"'|' \
- at BUILD_OCAML_INTERFACE_TRUE@ $< > Doxyfile.user-configured-ocaml-interface-latex
+ at BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_USER)"'|' \
+ at BUILD_OCAML_INTERFACE_TRUE@ user-language-interface.doxyconf \
+ at BUILD_OCAML_INTERFACE_TRUE@ > Doxyfile.user-configured-ocaml-interface-latex
@BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-ocaml-interface-latex
@BUILD_OCAML_INTERFACE_TRUE@ $(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
@BUILD_OCAML_INTERFACE_TRUE@ ../interfaces/OCaml/ppl_ocaml.mli
@@ -2066,19 +2150,24 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_OCAML_INTERFACE_TRUE@ $(srcdir)/devref-language-interface.tex \
@BUILD_OCAML_INTERFACE_TRUE@ > devref-configured-ocaml-interface.tex
@BUILD_OCAML_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_DEVREF_LATEX_OPTION) \
- at BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
- at BUILD_OCAML_INTERFACE_TRUE@ $< > Doxyfile.devref-configured-ocaml-interface-latex
+ at BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
+ at BUILD_OCAML_INTERFACE_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_OCAML_INTERFACE_TRUE@ > Doxyfile.devref-configured-ocaml-interface-latex
@BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-ocaml-interface-latex
@BUILD_OCAML_INTERFACE_TRUE@ $(OCAMLDOC) $(OCAMLDOC_LATEX_OPTIONS) -o $@/ocamldoc.tex \
@BUILD_OCAML_INTERFACE_TRUE@ ../interfaces/OCaml/ppl_ocaml.mli
@BUILD_OCAML_INTERFACE_TRUE at ppl-user-configured-ocaml-interface-@VERSION at .pdf: \
@BUILD_OCAML_INTERFACE_TRUE at user-configured-ocaml-interface.latex-dir
- at BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) make -C user-configured-ocaml-interface.latex-dir \
+ at BUILD_OCAML_INTERFACE_TRUE@ refman.pdf \
+ at BUILD_OCAML_INTERFACE_TRUE@ && mv -f user-configured-ocaml-interface.latex-dir/refman.pdf $@
@BUILD_OCAML_INTERFACE_TRUE at ppl-devref-configured-ocaml-interface-@VERSION at .pdf: \
@BUILD_OCAML_INTERFACE_TRUE at devref-configured-ocaml-interface.latex-dir
- at BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) make -C devref-configured-ocaml-interface.latex-dir \
+ at BUILD_OCAML_INTERFACE_TRUE@ refman.pdf \
+ at BUILD_OCAML_INTERFACE_TRUE@ && mv -f devref-configured-ocaml-interface.latex-dir/refman.pdf $@
@BUILD_OCAML_INTERFACE_TRUE at ppl-user-configured-ocaml-interface-@VERSION at -html: \
@BUILD_OCAML_INTERFACE_TRUE at user-language-interface.doxyconf \
@@ -2089,7 +2178,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_OCAML_INTERFACE_TRUE@ > user-configured-ocaml-interface.tex
@BUILD_OCAML_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_USER_HTML_OPTION) \
@BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_USER)"'|' \
- at BUILD_OCAML_INTERFACE_TRUE@ $< > Doxyfile.user-configured-ocaml-interface-html
+ at BUILD_OCAML_INTERFACE_TRUE@ user-language-interface.doxyconf \
+ at BUILD_OCAML_INTERFACE_TRUE@ > Doxyfile.user-configured-ocaml-interface-html
@BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.user-configured-ocaml-interface-html
@BUILD_OCAML_INTERFACE_TRUE@ mkdir $@/ocamldoc
@BUILD_OCAML_INTERFACE_TRUE@ $(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -2103,8 +2193,9 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_OCAML_INTERFACE_TRUE@ $(srcdir)/devref-language-interface.tex \
@BUILD_OCAML_INTERFACE_TRUE@ > devref-configured-ocaml-interface.tex
@BUILD_OCAML_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_OCAML_OPTION) $(SED_DEVREF_HTML_OPTION) \
- at BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
- at BUILD_OCAML_INTERFACE_TRUE@ $< > Doxyfile.devref-configured-ocaml-interface-html
+ at BUILD_OCAML_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_OCAML_INPUT_DEVREF)"'|' \
+ at BUILD_OCAML_INTERFACE_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_OCAML_INTERFACE_TRUE@ > Doxyfile.devref-configured-ocaml-interface-html
@BUILD_OCAML_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-ocaml-interface-html
@BUILD_OCAML_INTERFACE_TRUE@ mkdir $@/ocamldoc
@BUILD_OCAML_INTERFACE_TRUE@ $(OCAMLDOC) $(OCAMLDOC_HTML_OPTIONS) -d $@/ocamldoc \
@@ -2125,7 +2216,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_JAVA_INTERFACE_TRUE@ > user-configured-java-interface.tex
@BUILD_JAVA_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_USER_LATEX_OPTION) \
@BUILD_JAVA_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_USER)"'|' \
- at BUILD_JAVA_INTERFACE_TRUE@ $< > Doxyfile.user-configured-java-interface-latex
+ at BUILD_JAVA_INTERFACE_TRUE@ user-language-interface.doxyconf \
+ at BUILD_JAVA_INTERFACE_TRUE@ > Doxyfile.user-configured-java-interface-latex
@BUILD_JAVA_INTERFACE_TRUE@ echo "HIDE_UNDOC_MEMBERS = NO" \
@BUILD_JAVA_INTERFACE_TRUE@ >> Doxyfile.user-configured-java-interface-latex
@BUILD_JAVA_INTERFACE_TRUE@ echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
@@ -2141,18 +2233,23 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_JAVA_INTERFACE_TRUE@ > devref-configured-java-interface.tex
@BUILD_JAVA_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_DEVREF_LATEX_OPTION) \
@BUILD_JAVA_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_DEVREF)"'|' \
- at BUILD_JAVA_INTERFACE_TRUE@ $< > Doxyfile.devref-configured-java-interface-latex
+ at BUILD_JAVA_INTERFACE_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_JAVA_INTERFACE_TRUE@ > Doxyfile.devref-configured-java-interface-latex
@BUILD_JAVA_INTERFACE_TRUE@ echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
@BUILD_JAVA_INTERFACE_TRUE@ >> Doxyfile.devref-configured-java-interface-latex
@BUILD_JAVA_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-java-interface-latex
@BUILD_JAVA_INTERFACE_TRUE at ppl-user-configured-java-interface-@VERSION at .pdf: \
@BUILD_JAVA_INTERFACE_TRUE at user-configured-java-interface.latex-dir
- at BUILD_JAVA_INTERFACE_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_JAVA_INTERFACE_TRUE@ $(TEX_ENV) make -C user-configured-java-interface.latex-dir \
+ at BUILD_JAVA_INTERFACE_TRUE@ refman.pdf \
+ at BUILD_JAVA_INTERFACE_TRUE@ && mv -f user-configured-java-interface.latex-dir/refman.pdf $@
@BUILD_JAVA_INTERFACE_TRUE at ppl-devref-configured-java-interface-@VERSION at .pdf: \
@BUILD_JAVA_INTERFACE_TRUE at devref-configured-java-interface.latex-dir
- at BUILD_JAVA_INTERFACE_TRUE@ $(TEX_ENV) make -C $< refman.pdf && mv -f $</refman.pdf $@
+ at BUILD_JAVA_INTERFACE_TRUE@ $(TEX_ENV) make -C devref-configured-java-interface.latex-dir \
+ at BUILD_JAVA_INTERFACE_TRUE@ refman.pdf \
+ at BUILD_JAVA_INTERFACE_TRUE@ && mv -f devref-configured-java-interface.latex-dir/refman.pdf $@
@BUILD_JAVA_INTERFACE_TRUE at ppl-user-configured-java-interface-@VERSION at -html: \
@BUILD_JAVA_INTERFACE_TRUE at user-language-interface.doxyconf \
@@ -2163,7 +2260,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_JAVA_INTERFACE_TRUE@ > user-configured-java-interface.tex
@BUILD_JAVA_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_USER_HTML_OPTION) \
@BUILD_JAVA_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_USER)"'|' \
- at BUILD_JAVA_INTERFACE_TRUE@ $< > Doxyfile.user-configured-java-interface-html
+ at BUILD_JAVA_INTERFACE_TRUE@ user-language-interface.doxyconf \
+ at BUILD_JAVA_INTERFACE_TRUE@ > Doxyfile.user-configured-java-interface-html
@BUILD_JAVA_INTERFACE_TRUE@ echo "HIDE_UNDOC_MEMBERS = NO" \
@BUILD_JAVA_INTERFACE_TRUE@ >> Doxyfile.user-configured-java-interface-html
@BUILD_JAVA_INTERFACE_TRUE@ echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
@@ -2179,7 +2277,8 @@ $(DEVREF_JAVA_INTERFACE_STUFF) $(DEVREF_CORE_HTML_DIR)
@BUILD_JAVA_INTERFACE_TRUE@ > devref-configured-java-interface.tex
@BUILD_JAVA_INTERFACE_TRUE@ $(SED) $(SED_CONFIGURED_JAVA_OPTION) $(SED_DEVREF_HTML_OPTION) \
@BUILD_JAVA_INTERFACE_TRUE@ -e 's|<PPL_SED_INPUT>|'"$(SED_CONFIGURED_JAVA_INPUT_DEVREF)"'|' \
- at BUILD_JAVA_INTERFACE_TRUE@ $< > Doxyfile.devref-configured-java-interface-html
+ at BUILD_JAVA_INTERFACE_TRUE@ devref-language-interface.doxyconf \
+ at BUILD_JAVA_INTERFACE_TRUE@ > Doxyfile.devref-configured-java-interface-html
@BUILD_JAVA_INTERFACE_TRUE@ echo "EXCLUDE_PATTERNS = */Fake_Class_for_Doxygen*" \
@BUILD_JAVA_INTERFACE_TRUE@ >> Doxyfile.devref-configured-java-interface-html
@BUILD_JAVA_INTERFACE_TRUE@ $(TEX_ENV) $(DOXYGEN) Doxyfile.devref-configured-java-interface-html
diff --git a/doc/README.doc b/doc/README.doc
index 9799abf..1c86a95 100644
--- a/doc/README.doc
+++ b/doc/README.doc
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
@@ -136,7 +136,7 @@ command should be used to configure TeX system-wide).
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/doc/definitions.dox b/doc/definitions.dox
index cfb03dc..c9a459f 100644
--- a/doc/definitions.dox
+++ b/doc/definitions.dox
@@ -1,5 +1,5 @@
// Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-// Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+// Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
//
// This document describes the Parma Polyhedra Library (PPL).
//
@@ -1491,9 +1491,9 @@ We can define a <EM>floating-point interval linear form</EM>
\f$\langle\vect{\alpha}, \vect{x}\rangle
+ \beta\f$
as:
- \f[\left<\vect{\alpha}, \vect{x}\right> + \beta =
- \alpha_0x_0 + \ldots +
- \alpha_{n-1}x_{n-1} + \beta,\f]
+ \f[\left<\vect{\alpha}, \vect{x}\right> + \beta =
+ \alpha_0x_0 + \ldots +
+ \alpha_{n-1}x_{n-1} + \beta,\f]
where \f$\beta\f$, \f$\vect{\alpha}_k \in \mathbb{I}_{\mathrm{f}}\f$
for each \f$k = 0, \ldots, n - 1\f$.
@@ -1580,10 +1580,8 @@ is the smallest NNC polyhedron containing the set
\vect{p} \in \cP, \vect{q} \in \cQ, \lambda \in \nonnegRset
\,\bigr\}.
\f]
-Note that, if \f$\cP,\cQ \in \CPset_n\f$ are closed polyhedra,
-the above set is also a closed polyhedron.
-In contrast, when \f$\cQ\f$ is not topologically closed,
-the above set might not be an NNC polyhedron.
+Note that the above set might not be an NNC polyhedron.
+
\subsection Meet_Preserving_Simplification Meet-Preserving Enlargement and Simplification
@@ -4401,7 +4399,7 @@ If \f$A\f$ is a rational \f$m \times n\f$ matrix,
+ \vect{z}^\transpose B, \\
\vect{y} = (y_0, \ldots, y_{m-1})^\transpose \in \nonnegRset^{m},
\sum_{k=0}^{m-1} y_k = 1, \\
- \vect{z} \in \nonnegRset^{m'}
+ \vect{z} \in \nonnegRset^{m'}
},
\f]
then \f$\cQ\f$ is a rational polyhedron.
@@ -4464,7 +4462,7 @@ where \f$\xi \geq 0\f$. That is,
(\xi \vect{x}^\transpose, \xi)^\transpose
\mid
\xi A\vect{x} - \xi \vect{b}
- \geq \vect{0}, \xi \geq 0
+ \geq \vect{0}, \xi \geq 0
\,\}
= \{\,\vect{x}' \mid A'\vect{x}' \geq \vect{0}\,\}
\f]
diff --git a/doc/devref-language-interface.tex b/doc/devref-language-interface.tex
index be147d5..661feb5 100644
--- a/doc/devref-language-interface.tex
+++ b/doc/devref-language-interface.tex
@@ -1,5 +1,5 @@
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This document describes the Parma Polyhedra Library (PPL).
%
@@ -119,7 +119,7 @@ Abramo Bagnara\thanks{abramo.bagnara at bugseng.com,
\newpage
Copyright \copyright\ 2001--2010 Roberto Bagnara (bagnara at cs.unipr.it) \\
-Copyright \copyright\ 2010--2012 BUGSENG srl (http://bugseng.com)
+Copyright \copyright\ 2010--2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/doc/devref.doxyconf-html.in b/doc/devref.doxyconf-html.in
index c3002b7..58cd081 100644
--- a/doc/devref.doxyconf-html.in
+++ b/doc/devref.doxyconf-html.in
@@ -102,10 +102,10 @@ INPUT = @srcdir@/definitions.dox \
@srcdir@/gpl.dox \
@srcdir@/fdl.dox
INPUT_ENCODING = UTF-8
-FILE_PATTERNS = *.types.hh \
- *.defs.hh \
- *.inlines.hh \
- *.templates.hh \
+FILE_PATTERNS = *_types.hh \
+ *_defs.hh \
+ *_inlines.hh \
+ *_templates.hh \
*.cc \
C_Integer.hh \
Coefficient_traits_template.hh \
diff --git a/doc/devref.doxyconf-latex.in b/doc/devref.doxyconf-latex.in
index a2bd931..1259fd1 100644
--- a/doc/devref.doxyconf-latex.in
+++ b/doc/devref.doxyconf-latex.in
@@ -102,10 +102,10 @@ INPUT = @srcdir@/definitions.dox \
@srcdir@/gpl.dox \
@srcdir@/fdl.dox
INPUT_ENCODING = UTF-8
-FILE_PATTERNS = *.types.hh \
- *.defs.hh \
- *.inlines.hh \
- *.templates.hh \
+FILE_PATTERNS = *_types.hh \
+ *_defs.hh \
+ *_inlines.hh \
+ *_templates.hh \
*.cc \
C_Integer.hh \
Coefficient_traits_template.hh \
diff --git a/doc/devref.tex b/doc/devref.tex
index 930bb89..fd69ac1 100644
--- a/doc/devref.tex
+++ b/doc/devref.tex
@@ -1,5 +1,5 @@
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This document describes the Parma Polyhedra Library (PPL).
%
@@ -117,7 +117,7 @@ Abramo Bagnara\thanks{abramo.bagnara at bugseng.com,
\newpage
Copyright \copyright\ 2001--2010 Roberto Bagnara (bagnara at cs.unipr.it) \\
-Copyright \copyright\ 2010--2012 BUGSENG srl (http://bugseng.com)
+Copyright \copyright\ 2010--2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/doc/fdl.pdf b/doc/fdl.pdf
index 6fbea6c..876afc3 100644
Binary files a/doc/fdl.pdf and b/doc/fdl.pdf differ
diff --git a/doc/fdl.ps.gz b/doc/fdl.ps.gz
index 9518267..fa38f77 100644
Binary files a/doc/fdl.ps.gz and b/doc/fdl.ps.gz differ
diff --git a/doc/fdl.txt b/doc/fdl.txt
index 4a0fe1c..a988da5 100644
--- a/doc/fdl.txt
+++ b/doc/fdl.txt
@@ -1,5 +1,5 @@
- GNU Free Documentation License
- Version 1.2, November 2002
+ GNU Free Documentation License
+ Version 1.2, November 2002
Copyright (C) 2000,2001,2002 Free Software Foundation, Inc.
diff --git a/doc/gpl.pdf b/doc/gpl.pdf
index 593c449..a205184 100644
Binary files a/doc/gpl.pdf and b/doc/gpl.pdf differ
diff --git a/doc/gpl.ps.gz b/doc/gpl.ps.gz
index 6f273f0..26ef6f5 100644
Binary files a/doc/gpl.ps.gz and b/doc/gpl.ps.gz differ
diff --git a/doc/libppl.3 b/doc/libppl.3
index 691b187..03c9c55 100644
--- a/doc/libppl.3
+++ b/doc/libppl.3
@@ -218,7 +218,7 @@ Report bugs to <ppl\-devel at cs.unipr.it>.
.SH "COPYRIGHT AND NO WARRANTY"
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010\-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010\-2013 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
diff --git a/doc/libppl_c.3 b/doc/libppl_c.3
index aa76d21..3db0351 100644
--- a/doc/libppl_c.3
+++ b/doc/libppl_c.3
@@ -154,7 +154,7 @@ Report bugs to <ppl\-devel at cs.unipr.it>.
.SH "COPYRIGHT AND NO WARRANTY"
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010\-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010\-2013 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
diff --git a/doc/ppl-config.1 b/doc/ppl-config.1
index 3c18381..d03caac 100644
--- a/doc/ppl-config.1
+++ b/doc/ppl-config.1
@@ -103,7 +103,7 @@ See the file \fBCREDITS\fR in the source distribution or use the command
Report bugs to <ppl\-devel at cs.unipr.it>.
.SH "COPYRIGHT AND NO WARRANTY"
Copyright (C) 2001\-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010\-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010\-2013 BUGSENG srl (http://bugseng.com)
.br
This is free software; see the file \fBCOPYING\fR in the source
distribution or use the command \fBppl\-config \-\-copying\fR to
diff --git a/doc/ppl-user-1.0-html.tar.gz b/doc/ppl-user-1.0-html.tar.gz
deleted file mode 100644
index e75ee3e..0000000
Binary files a/doc/ppl-user-1.0-html.tar.gz and /dev/null differ
diff --git a/doc/ppl-user-1.0.pdf b/doc/ppl-user-1.0.pdf
deleted file mode 100644
index e4a4e5d..0000000
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-/Limits [(classParma__Polyhedra__Library_1_1Concrete__Expression_a837cb016717cabc430d6309b2d5bd28f) (classParma__Polyhedra__Library_1_1Congruence__System_1_1const__iterator)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_1_1const__iterator_a0ac88c873a13c4afa6f99d3d436e13a3) (classParma__Polyhedra__Library_1_1Congruence__System_1_1const__iterator_a97586e332fd16ccf6e7d642bb4bbf83e)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_1_1const__iterator_adca809f9ebacacf70bc610d41bbaff47) (classParma__Polyhedra__Library_1_1Congruence__System_a0a4f8e3f3469f021594ea9311c21aadd)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_a0bf701759fc56f8fb215c273e53b46ae) (classParma__Polyhedra__Library_1_1Congruence__System_a1a897aa9f5d0da382de3c8baafba247c)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_a20b0080e4a1abdb68ce945191c540b2e) (classParma__Polyhedra__Library_1_1Congruence__System_a3fe60e1a76b2a92143004e52ccfcb7c7)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_a548ae200545f7d25b875f190b5611368) (classParma__Polyhedra__Library_1_1Congruence__System_a705b9ccde802cccb058145896a399b50)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_a77c72d8473dc3e9856d7ff6c05ce7b07) (classParma__Polyhedra__Library_1_1Congruence__System_a8f78066abbc29188a3dccfad42477aec)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_a9d7fe3b07d9e1d35c04fa2d81e32bf34) (classParma__Polyhedra__Library_1_1Congruence__System_aaf3b18ae83d99811dad22d336a1a117f)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_ab8ae5d861fb56c8ed906f604be7c4f02) (classParma__Polyhedra__Library_1_1Congruence__System_ae4a4890ceb257496b788e0d31dbf6d7f)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_aea6d543c90be52299d6ffc57fc9ba5d1) (classParma__Polyhedra__Library_1_1Congruence__System_af97f2d43a487ec81e040aec36bbc6ebe)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence__System_afefca839fc7b4d2d166e7a1fe6196fd5) (classParma__Polyhedra__Library_1_1Congruence_a146b211f83e22bd011d3de2e5975073b)]
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-/Limits [(classParma__Polyhedra__Library_1_1Congruence_a29c63b939ed830a0395170835e60beaf) (classParma__Polyhedra__Library_1_1Congruence_a39b6f38fff55dd953ec509b3739dd17d)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid__Generator_aeca84d3bda389453f22a494ab9923088) (classParma__Polyhedra__Library_1_1Grid_a0047a6aa4f26d9133b9d741f68384f38)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a0262a2b32220536d8bc60d84ad8dac4c) (classParma__Polyhedra__Library_1_1Grid_a07bdac3717a59f64634da7d9b1cfaefd)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a092f5c04d267ab5709dda2d3e51aaeb9) (classParma__Polyhedra__Library_1_1Grid_a1287b254a91451368e7e2e456f448114)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a145cc7c23d407576222e5af347f401c1) (classParma__Polyhedra__Library_1_1Grid_a1ba97c180500b43954b09532151f6c9d)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a1cb88a546d32e7b5c07dc25055e33235) (classParma__Polyhedra__Library_1_1Grid_a2d4a31320735e93af31c8d2cc7e78329)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a2f31170286d3abc2f4867d0b193ae8bc) (classParma__Polyhedra__Library_1_1Grid_a3ac47497148e61f3d7a3da09d17a03bf)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a3cd0fe4ed600eb3430539b864ad4142b) (classParma__Polyhedra__Library_1_1Grid_a53f980fb1ac8fa21265bec985bd1382f)]
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-/Limits [(classParma__Polyhedra__Library_1_1Grid_a59634a195948ff0617177d0a41e30602) (classParma__Polyhedra__Library_1_1Grid_a659cb16eede4860a0c3597638ca77830)]
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-/Limits [(classParma__Polyhedra__Library_1_1MIP__Problem_aabc43ede7fd0577eaeb7255a0eca232dafb044a16e827afb114b4a2b9ba86fcbb) (classParma__Polyhedra__Library_1_1MIP__Problem_ae60e06beac90231262189084333bda57)]
->> endobj
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-/Names [(classParma__Polyhedra__Library_1_1MIP__Problem_aea40406b8f95d9ca4f61f23598448cd5) 12243 0 R (classParma__Polyhedra__Library_1_1MIP__Problem_aedfa8f360379ceb195993b2ef04424d4) 12236 0 R (classParma__Polyhedra__Library_1_1MIP__Problem_af46e579954688eec46ac0a43029fdaa1) 12231 0 R (classParma__Polyhedra__Library_1_1MIP__Problem_af9e8e2ee2a429df52a8755417e8c8df6) 12322 0 R (classParma__Polyhedra__Library_1_1MIP__Problem_afc1e5cbd96d9c2819ba1ec2151f3897e) 12284 0 R (classParma__Polyhe [...]
-/Limits [(classParma__Polyhedra__Library_1_1MIP__Problem_aea40406b8f95d9ca4f61f23598448cd5) (classParma__Polyhedra__Library_1_1MIP__Problem_aff27d012a01487b7c9c14a9a3b40d9b1)]
->> endobj
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-/Names [(classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression) 1236 0 R (classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression_a07785ee99516a90ab920842fa3ab54d1) 12459 0 R (classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression_a12e89691311b8923ae33e930a7c89f4b) 8339 0 R (classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression_a247581d9877a1544797ef8388c86f6f4) 12460 0 R (classParma__Polyhedra__ [...]
-/Limits [(classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression) (classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression_a598c3862b9f9e720061d5d3e87995840)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1Multiplication__Floating__Point__Expression_a7ff53437f750fd3ce8781dd441d7c304) (classParma__Polyhedra__Library_1_1NNC__Polyhedron)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a163f5dff452c6cf2e3a0c929eb2b8187) (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a56849f08cce0bbdb7b8118abb30471c2)]
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-/Limits [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a60ae86027d4480aec07a5eed85f6977a) (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a89d5bd03139c8fcaf1ab035208d680dd)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a8ee7e3364443dc8cd55f3f6388c81ecf) (classParma__Polyhedra__Library_1_1NNC__Polyhedron_af5aee1171c6c67b9c57f3949b7b75be8)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1No__Reduction) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a003331e749ebf3ac37f3d5d01005321a)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a04704288741dbaf6f50e8fc09c43f737) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a0d1677ef76c939ca2025722d2ee249e2)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a0d4db6f54c7332e1a2e0bc85e16ba176) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a100662089d61a01ea43a28a944da266c)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a107c769c3c982506e2abf6979b9e92f6) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a196d1efc79437ca1d96b79b7cd60387f)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a197fc2645bde64519a993bebc73f2caa) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a1f116cd62c9c54702aeafb564bf8e400)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a204fb0538d07ee8ac3d5f2724419928b) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a2d266342acc104c59dc0046242ccdac8)]
->> endobj
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a2f13e4ffe7b47ec50721791877b41622) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a3b9f6fbac96e03a00d061a2cd2ca2baf)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a44e10aa0180433db7d19fb8e473dc829) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a508d952b878adf2e55d70d6ca1e64d04)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a50ca45a8cfc186aa1fd90160b643d766) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a5d905934786546ee29986ddc15e2536b)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a5e74729a5f7cabef57fb795cc728869c) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a702b00ff42a88c23ab25eecf0e9acef0)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a703f57855b17ef63b28f88fe13a51870) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a7dcb9b448c8c0171e18f29551077d133)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a81c8a26a02090eb4fb9255dd814514a8) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a934cc1f45a6d438f5d468276140cd5a8)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a940509da64dedf971ad0e8c07fa75bc6) (classParma__Polyhedra__Library_1_1Octagonal__Shape_aa317313059bdf973567d2fcf5e030212)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_aa493e3939364ce0db66b42f0ef6511d0) (classParma__Polyhedra__Library_1_1Octagonal__Shape_aafdd0083c1c10d49e06f4718a826ae1b)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ab030b7a285d9b5e6470263311eeb87f4) (classParma__Polyhedra__Library_1_1Octagonal__Shape_ab88fa5dbd9a213a4826f1c766d547b55)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_aba8ba56b075b2be7b6309cfaed039070) (classParma__Polyhedra__Library_1_1Octagonal__Shape_ac6376a87e99d3cdabaa6ee7542474849)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_acb19de0243a618e9bf3d62e2ee04ae01) (classParma__Polyhedra__Library_1_1Octagonal__Shape_ad597da38af773e6cd9335ffd866fa32a)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ad8d04d80653fb850dd92468af1995f97) (classParma__Polyhedra__Library_1_1Octagonal__Shape_adc269190695c1745ab086168fcf35835)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ae37107ec8d1402bb69ac6462d7f4646d) (classParma__Polyhedra__Library_1_1Octagonal__Shape_aed38463ae788879580d6372653452603)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_aedd7f0d898b4ab1df6dfa90605fede79) (classParma__Polyhedra__Library_1_1Octagonal__Shape_af2c70f89a472f7fa34ba64817693776a)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_af3135ed5b5cb04d1e8a54fa9be77b90f) (classParma__Polyhedra__Library_1_1Octagonal__Shape_af9503f2a0fd1535ce7cb9465908006dc)]
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-/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_afa62abe41a99d6a01cca319ed860bb5b) (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a47224e5fc07b3798eb4f2f5837073894)]
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-/Limits [(classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a8684a78903049fa062f98ada32e1a1f4) (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a031ecc9f79496b10a1b48d6626fd98aa)]
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-/Limits [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_a058de183d237813010822dc5c734ce5c) (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a81497d1095efd042cd3034335a3d19e6)]
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-/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a0683916154cde6bb308ccdd9c22e1ecea3581e26c004ac37575fd4449822d09c5) (classParma__Polyhedra__Library_1_1PIP__Problem_a1fefbce40046822771b243b1d2f1277e)]
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-/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a25cc092f9c3d26be5b6dac41eb54186c) (classParma__Polyhedra__Library_1_1PIP__Problem_a56ce97c41ec068deda3ccfd81766ff83)]
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-/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a76c9012a376984a1b88823a59bd5bcde) (classParma__Polyhedra__Library_1_1Polyhedron_a8132d1a9b329271fb4f7faeb59c89c39)]
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-/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a90016052cbe535d7e8b1e20a2c599053) (classParma__Polyhedra__Library_1_1Polyhedron_a98c785602c5af8f7e0c1be92bb5e8b71)]
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+/Limits [(classParma__Polyhedra__Library_1_1Checked__Number_ae09d1e8f6ab1eea10ceba92f21681110) (classParma__Polyhedra__Library_1_1Checked__Number_af9daca45c3c1d0d1afd57ab47c6cacd4)]
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+/Limits [(classParma__Polyhedra__Library_1_1Concrete__Expression__Common_a9eeea4961725654dcc5f4526fa729df1) (classParma__Polyhedra__Library_1_1Concrete__Expression__Type_a1558ce3303b13a4d17df20c2f4d20ada)]
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+/Limits [(classParma__Polyhedra__Library_1_1Congruence_a2ca2446f563956eb2b92ddd17e5c0b2c) (classParma__Polyhedra__Library_1_1Congruence_a408ca35042312cfb3c8fb63d41ed2bf5)]
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+/Limits [(classParma__Polyhedra__Library_1_1Congruence_afd55d0cb3ab31c5e800c18eb849aa295) (classParma__Polyhedra__Library_1_1Constant__Floating__Point__Expression)]
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+/Limits [(classParma__Polyhedra__Library_1_1Constant__Floating__Point__Expression_a017b50a53d3f73e61cb5c9d787cb1907) (classParma__Polyhedra__Library_1_1Constant__Floating__Point__Expression_a5de206a495a44970b2dcd4b769fb2ef3)]
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+/Limits [(classParma__Polyhedra__Library_1_1Constant__Floating__Point__Expression_a79a27720fc3f7a3e989f10ebdb6b2800) (classParma__Polyhedra__Library_1_1Constraint__System)]
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+/Limits [(classParma__Polyhedra__Library_1_1Constraint__System__const__iterator) (classParma__Polyhedra__Library_1_1Constraint__System__const__iterator_a6d8bd16c6f8ccff0228956f76a9b7464)]
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+/Limits [(classParma__Polyhedra__Library_1_1Constraint__System__const__iterator_a8ab042e81927db600ee725d3c983b252) (classParma__Polyhedra__Library_1_1Constraint__System_a09afd391300355989769ad52d3cc97aa)]
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+/Limits [(classParma__Polyhedra__Library_1_1Constraint__System_a3410a53827de9155ac7d6cbd84263364) (classParma__Polyhedra__Library_1_1Constraint__System_a6293b813e42a59a9795cafe0efa762cc)]
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+>> endobj
+18337 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Grid__Generator_aaaba43818b9aa3f407359d15a971984e) 9398 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_ab1db3272b7beca7b1d9d17f23d22ecbd) 9420 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_aba6b40a4b9708e94d6cd10f54144ed70) 9498 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_abaa6c80abf60b23dd19db6cc042719b0) 9405 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_ac1e87cdf51be31f4c9c43c4c86bccb66) 9652 0 R (classPar [...]
+/Limits [(classParma__Polyhedra__Library_1_1Grid__Generator_aaaba43818b9aa3f407359d15a971984e) (classParma__Polyhedra__Library_1_1Grid__Generator_ac3e03bc2df621903d136c689c38bdb6f)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Grid__Generator_ac74dafaa0b06e9cd3d15ea0d2af1b213) 9574 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_ac915c8d26a7dbcdbbd0c4985ec5b7d4b) 9481 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_aca47a151389a78c2474186b9628ab5cc) 9646 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_acb1fb1a16ca8e051a815ae73b178dd62) 9414 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_acdc0aeddab3d98e336719f42e6e5b06c) 9497 0 R (classPar [...]
+/Limits [(classParma__Polyhedra__Library_1_1Grid__Generator_ac74dafaa0b06e9cd3d15ea0d2af1b213) (classParma__Polyhedra__Library_1_1Grid__Generator_ad32b963be25112be3f4856164c255730)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Grid__Generator_ad350a787056fefe667783a60a9f2923e) 9501 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_ad582c312a54b52e80b7fa8b836de9450) 9572 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_add0d04eab672e924694d77cc48921add) 9401 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_ae94a99f8e8d290b5791baa01fd540a14) 9576 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_aeabcfd0fb026563fd3464f04d32c8e60) 9424 0 R (classPar [...]
+/Limits [(classParma__Polyhedra__Library_1_1Grid__Generator_ad350a787056fefe667783a60a9f2923e) (classParma__Polyhedra__Library_1_1Grid__Generator_aeca84d3bda389453f22a494ab9923088)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Grid__Generator_aeed6163372d663031201f5b4c77b9d5c) 9589 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_af00dd6aeffc847b73a3aee11d6d169b6) 9577 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_af3146d81190eacbe889e3d0949907271) 9502 0 R (classParma__Polyhedra__Library_1_1Grid__Generator_af4e7705af87f5eb64d2ebdc60cd7a36e) 9496 0 R (classParma__Polyhedra__Library_1_1Grid_a0047a6aa4f26d9133b9d741f68384f38) 8615 0 R (classParma__Polyhed [...]
+/Limits [(classParma__Polyhedra__Library_1_1Grid__Generator_aeed6163372d663031201f5b4c77b9d5c) (classParma__Polyhedra__Library_1_1Grid_a0262a2b32220536d8bc60d84ad8dac4c)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Grid_a042613c3f4ad30b298d70143c935d7cd) 8623 0 R (classParma__Polyhedra__Library_1_1Grid_a0441c9c3b0ab0d55165bb6b4fd107f64) 8797 0 R (classParma__Polyhedra__Library_1_1Grid_a06894477c4e748b61eb0779ea8c0600f) 8872 0 R (classParma__Polyhedra__Library_1_1Grid_a071aa57e439ba4f358c7fd43b03a6a49) 8715 0 R (classParma__Polyhedra__Library_1_1Grid_a07bdac3717a59f64634da7d9b1cfaefd) 8855 0 R (classParma__Polyhedra__Library_1_1Grid_a092f5c04d267ab5709dda2d [...]
+/Limits [(classParma__Polyhedra__Library_1_1Grid_a042613c3f4ad30b298d70143c935d7cd) (classParma__Polyhedra__Library_1_1Grid_a092f5c04d267ab5709dda2d3e51aaeb9)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a0c02302b6281fa91ef9275bd37e43efc) (classParma__Polyhedra__Library_1_1Grid_a145cc7c23d407576222e5af347f401c1)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a19422844125a988daaf489cbaff3835b) (classParma__Polyhedra__Library_1_1Grid_a1cb88a546d32e7b5c07dc25055e33235)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a1d51ba9ca3c3e0bf0042502f40d2e11b) (classParma__Polyhedra__Library_1_1Grid_a2f31170286d3abc2f4867d0b193ae8bc)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a31603d81a2b0571a82c4c79b8c6e4564) (classParma__Polyhedra__Library_1_1Grid_a3cd0fe4ed600eb3430539b864ad4142b)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a453e51570268eb4d63fc529130a54440) (classParma__Polyhedra__Library_1_1Grid_a59634a195948ff0617177d0a41e30602)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a596fc5b3ee0d04895aca9139cb6cbcb6) (classParma__Polyhedra__Library_1_1Grid_a65f00faeb048901323ffd316d30d61a4)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a68665d093308c111817eca341b98d70a) (classParma__Polyhedra__Library_1_1Grid_a727dc2405cfc5f2252e6f21aa0f18074)]
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a7fc86a6331f34f34a506ab2b0609ac37) (classParma__Polyhedra__Library_1_1Grid_a8688fd38682b19e97422816d72524790)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a87d004db7f8febf6f9c96b4a2a1c85e5) (classParma__Polyhedra__Library_1_1Grid_a8edc85ba3e8a09593959814eaad72499)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a8f97dbc7a7c307fa72f7e904b2cbf21b) (classParma__Polyhedra__Library_1_1Grid_a953a608f6f9d413870fb3eee5cc6ad1e)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_a9831db06919c6ee05360b08e84cccbb7) (classParma__Polyhedra__Library_1_1Grid_aa033cfca735240b3699b523d60ad692a)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_aa26f672c32271db69ed68fc60eee8cff) (classParma__Polyhedra__Library_1_1Grid_ab6bba83ceaafdb71df04b77e43bed022)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_abb10ea556dd34e0c1e13f7e99b9efe70) (classParma__Polyhedra__Library_1_1Grid_ac9d9eaf8b76024bc20ce524e13bf86a6)]
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_ace98c3e57a1237e6dd5042b5a0919193) (classParma__Polyhedra__Library_1_1Grid_adc7cdee1981f44b5db23f6c28c79d0a6)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_adcf35e414093ac621958d1badd313e25) (classParma__Polyhedra__Library_1_1Grid_aeb9b562373b4d288c03549bdba93fede)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_aee33974909cfc1cba605734a57d44df0) (classParma__Polyhedra__Library_1_1Grid_afb9d83c4e182f640833116dc2f725076)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Grid_afc06f600e94b7bedb91d0371a51f4c38) (classParma__Polyhedra__Library_1_1H79__Certificate_a1e1a505b4cd4a4ac97d3a38864bd3977)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1H79__Certificate_a517f4965fd423413531cd1d2058748de) (classParma__Polyhedra__Library_1_1H79__Certificate_ab8bee5e53740adc193668686030bb4bb)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Implementation_1_1Doubly__Linked__Object) (classParma__Polyhedra__Library_1_1Implementation_1_1Doubly__Linked__Object_a86de0322fd10ae0c9061a9a84b64ae4d)]
+>> endobj
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+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a691bb5ef88a4c9638034de4c1b9532cc) 11283 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a6b1f2d6606a0b4d4fc8bbde3b24ce553) 11315 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a7358056031cb08692ae07044715987cd) 11277 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a86c7ff797f1b5e1b31217a176176eb4c) 11321 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a89d5bd03139c8fcaf1ab035208d680dd) 11278 0 R (cla [...]
+/Limits [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a691bb5ef88a4c9638034de4c1b9532cc) (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a8ee7e3364443dc8cd55f3f6388c81ecf)]
+>> endobj
+18412 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a91cfad066b0e12cdaf7454fe4585cfc5) 11312 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_a9dc9e3a464def0e2d929fab9cae6e360) 11314 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_ad5c6d64b009045df8248bcb8ffeea69e) 11279 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_aee8ba0ffc68e00046b55e12427c582cd) 11322 0 R (classParma__Polyhedra__Library_1_1NNC__Polyhedron_af5aee1171c6c67b9c57f3949b7b75be8) 11276 0 R (cla [...]
+/Limits [(classParma__Polyhedra__Library_1_1NNC__Polyhedron_a91cfad066b0e12cdaf7454fe4585cfc5) (classParma__Polyhedra__Library_1_1No__Reduction)]
+>> endobj
+18413 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1No__Reduction_a57a09616d44764f6c63a37c26986f154) 11380 0 R (classParma__Polyhedra__Library_1_1No__Reduction_ae20190c8d340b9d36a945b0a58ac8d84) 11379 0 R (classParma__Polyhedra__Library_1_1No__Reduction_af999fae66cdac4ceae98689fc25d1d26) 11384 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape) 779 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a02f64ed2505526a3265738f72fa17bec) 11671 0 R (classParma__Polyhedra__Library_1_1Octagonal [...]
+/Limits [(classParma__Polyhedra__Library_1_1No__Reduction_a57a09616d44764f6c63a37c26986f154) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a04704288741dbaf6f50e8fc09c43f737)]
+>> endobj
+18414 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a070725ccbafe78e4c5fff018814df408) 11429 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a079ab370103bd84c354f53173664cde5) 11508 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a07b4e1dbeb0e7020780d911a3dbe7e52) 11591 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a0e0ebabbfd873d4a5d7076ebc02aaeb2) 11600 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a1471791dde276599f724696b054d8060) 11675 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a070725ccbafe78e4c5fff018814df408) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a14e9595f982172047485a897079e2e64)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a15b6fd54370651a7884d81c6a6178601) 11513 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a165d6b70d974556eadf494f305ccec98) 11505 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a16f76a07b461817e79f8f10811206810) 11506 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a180261988d8bec7295dcfbfc7f458dc4) 11821 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a18331c91f5fb527759c43da03bb75a34) 11668 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a15b6fd54370651a7884d81c6a6178601) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a26d8154ade10de97de8dea739300059b)]
+>> endobj
+18416 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a293c185dd2a1e1d3e8444f13a3a4600a) 11767 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a2c32e2eea3afd94dbf1bcb6973d980c3) 11599 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a2d0d4c4268514182c172e823f3343a26) 11507 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a2e86a2f104abe01c52cbc1bc31249d58) 11597 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a2f41b8cdce44d152a3f50677d5fe34ae) 11755 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a293c185dd2a1e1d3e8444f13a3a4600a) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a3b9f6fbac96e03a00d061a2cd2ca2baf)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a3e2e5566d96001db1e141bdd098fda42) 11760 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a3efb45c45d24223addb9abcc922876c4) 11510 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a421196cbbaf6a1ebe24ca31ddf4a6ca2) 11590 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a4392d92c159c820229e9edeaaa1fde08) 11768 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a45fa62259c7d5c327bed58252c5d2535) 11761 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a3e2e5566d96001db1e141bdd098fda42) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a45fd26849ccae749af76d0b5844bd263)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a4706e460848762e3a7642f2c99a06666) 11763 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a4815c19ebb19e86a5c58ac16c17e671e) 11516 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a48ca5552a4b0a84570430527e50d114b) 11815 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a4c61c716f9b0c406953b9dac9b828699) 11520 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a4eb80821512bd8d880716af85e30267d) 11673 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a4706e460848762e3a7642f2c99a06666) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a500704447a47b59161c7b87a9a6e5a5e)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a50a4a535b9fc079cea6154105e752126) 11677 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a51b8a7ab7c9d312049b21add6cc8140e) 11672 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a54ce22f211a77cb0eef849d146af8435) 11822 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a55f0409ad0da54065b64778ee19811c7) 11512 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a5911188c5ec8dca792b4ef117e29e876) 11582 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a50a4a535b9fc079cea6154105e752126) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a5c0ee0095333aebf1465dcc23b728aad)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a5eca2acffa010b8e1b0311ef65584167) 11511 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a5f967c6b34fa38d22fac082d979db374) 11523 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a60e481255ba2a7e0d44bb2fe0c14a392) 11809 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a615afc2d71928f51973a0605de50dde2) 11770 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a65737f26c11afd6146e8831048e5f167) 11515 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a5eca2acffa010b8e1b0311ef65584167) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a657b456ab883ab71b6d31e408bbe2216)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a659108de10cd72f412b1bb6883e21b36) 11679 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a67a8415144aabfbe2b1118a6931cbeed) 11820 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a6b43af400f0bc0ee0e8e91ca0bf085b7) 11594 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a6edd4cd29fbac8a7b8b3905b6b31eefc) 11766 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_a6fb799a5569502c8429578e9137d034e) 11681 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a659108de10cd72f412b1bb6883e21b36) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a6fd695131c86734bc6d325b5d803677c)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a72b4003eb85d959872be6607bdd86450) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a82373711bf37090c84a7a8245f73c661)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a855f549ca6f288eda04f16c23eaf8b02) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a89bdd81414c3119d65b37cc28e14b8c3)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a8e202d4f687e3925b37da76b20c24d3e) (classParma__Polyhedra__Library_1_1Octagonal__Shape_a96859bc9dd73f8b6f5db13631192c258)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_a96bae54a01fe00bad4306bec61bb4687) (classParma__Polyhedra__Library_1_1Octagonal__Shape_aa9d4170ba31cb624f515f45dbd52a652)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_aaeb3f18cecfa915b9cdfca4237772b85) (classParma__Polyhedra__Library_1_1Octagonal__Shape_ab408b475a1d6b0d2221fae755ee75cab)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ab45b377c9c34a198290559e6571529dc) (classParma__Polyhedra__Library_1_1Octagonal__Shape_ac549f855c22dcda23d882bd8e659b38c)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ac6973f94432db196ff06218b7c38205a) (classParma__Polyhedra__Library_1_1Octagonal__Shape_ad9e4b27a90287bc7f17da3de37be34d2)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ada1a3fa1ca6f341e57d9f9f5eda2b308) 11504 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_ae532824081a0b50d3688e0ab72066fe9) 11585 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_ae5d22f897dedab2230da11af28069825) 11676 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_aeb635bf8c5edfacd4feff91b64fb436c) 11818 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_aebfcd81c55429a63a36b41f4223a2f8d) 11758 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_ada1a3fa1ca6f341e57d9f9f5eda2b308) (classParma__Polyhedra__Library_1_1Octagonal__Shape_aec1a9292123f47946225b3389f74de43)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Octagonal__Shape_aef89ae29f8c0dc6f2e566149a1732f8e) 11665 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_af1b57d321cb5695be7cadd0d4194bd04) 11757 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_af8c9072858fe3d8d47d6333e48071e58) 11587 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_af90f3efba85458dcd239a34b8126c466) 11811 0 R (classParma__Polyhedra__Library_1_1Octagonal__Shape_af98a7a6da325511098f6b8f0a21a182e) 11518 0 R [...]
+/Limits [(classParma__Polyhedra__Library_1_1Octagonal__Shape_aef89ae29f8c0dc6f2e566149a1732f8e) (classParma__Polyhedra__Library_1_1Octagonal__Shape_afd6cbc70ab6cbd8675a8e65b98e8f1f6)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression) 1233 0 R (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a0d7c444f0642b60fb3a6d7f86da57707) 12238 0 R (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a18324115d64b5357cb01e4f5d00ea385) 12255 0 R (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a2b16fa08980a81f9666d911c13304d7f) 12237 0 R (classParma__Polyhedra__Library_1_1Opposite__Fl [...]
+/Limits [(classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression) (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a7a1350528a7ad90dfdafa97409db9517)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a8cfa8df0c1472235cf53c0b03c70d0d1) 7516 0 R (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_aa533c6049f2d1352ad7659aeb6b0eb5a) 12236 0 R (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_abf06af1843d7e050eda09c687eed453b) 12256 0 R (classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_ac24cc83f88a80ad3e3742f4c9f075db0) 12234 0 R (classParma__ [...]
+/Limits [(classParma__Polyhedra__Library_1_1Opposite__Floating__Point__Expression_a8cfa8df0c1472235cf53c0b03c70d0d1) (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a031ecc9f79496b10a1b48d6626fd98aa)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_a058de183d237813010822dc5c734ce5c) 13111 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a27ccfe6ce15264f53bda385c5d93d0c3) 13113 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a3d06dcc99da3a287c6881d2b1e43935a) 13112 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a47e031aae6928828862422b0ceedec71) 13109 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a4d75a1f9b3e618d337fde1b4de9f [...]
+/Limits [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_a058de183d237813010822dc5c734ce5c) (classParma__Polyhedra__Library_1_1PIP__Decision__Node_a81497d1095efd042cd3034335a3d19e6)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_a9be1cd3f6bd0582f6a60bffe2d72d2cc) 13168 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_aa5e48e146300e08949a783b435f7672c) 13107 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_ab6e5b1dd2b5b7cc9dae9b4ca656cd05a) 13117 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_ad096a02cc969dcd4b8606cd77d501070) 13108 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_aebe39b79533783e53ef583a9ea30 [...]
+/Limits [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_a9be1cd3f6bd0582f6a60bffe2d72d2cc) (classParma__Polyhedra__Library_1_1PIP__Decision__Node_af6356910030e23dc05bd4e500f073428)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_af8feb908f5def7ba99abb739dd2dc6cc) 13110 0 R (classParma__Polyhedra__Library_1_1PIP__Decision__Node_afab20885083717c18371349d4c182481) 13167 0 R (classParma__Polyhedra__Library_1_1PIP__Problem) 1921 0 R (classParma__Polyhedra__Library_1_1PIP__Problem_a04f2cd33bf24eddaa306c392810004ef) 13249 0 R (classParma__Polyhedra__Library_1_1PIP__Problem_a06368fdf7c40ae26305476c42e412172) 13187 0 R (classParma__Polyhedra__Library_1_1PIP__ [...]
+/Limits [(classParma__Polyhedra__Library_1_1PIP__Decision__Node_af8feb908f5def7ba99abb739dd2dc6cc) (classParma__Polyhedra__Library_1_1PIP__Problem_a0683916154cde6bb308ccdd9c22e1ece)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a0683916154cde6bb308ccdd9c22e1ecea3581e26c004ac37575fd4449822d09c5) (classParma__Polyhedra__Library_1_1PIP__Problem_a1fefbce40046822771b243b1d2f1277e)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1PIP__Problem_a25cc092f9c3d26be5b6dac41eb54186c) 13239 0 R (classParma__Polyhedra__Library_1_1PIP__Problem_a26a3ca0eb57793c00b0517a6856b8c10) 13245 0 R (classParma__Polyhedra__Library_1_1PIP__Problem_a2a7a0b9f3dc8cd6d55e839e20fa28f12) 13287 0 R (classParma__Polyhedra__Library_1_1PIP__Problem_a2f2683794347b7bceb41d88e1b1412d8) 13247 0 R (classParma__Polyhedra__Library_1_1PIP__Problem_a38cc9e4158abcf9fa6fb719d079108d1) 13237 0 R (classParma__Polyhe [...]
+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a25cc092f9c3d26be5b6dac41eb54186c) (classParma__Polyhedra__Library_1_1PIP__Problem_a56ce97c41ec068deda3ccfd81766ff83)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a5958bfbbb683917b5f3d165a09fb00a3) (classParma__Polyhedra__Library_1_1PIP__Problem_a77a39c345913dd490ff33b698d45b7e2)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a785a8dddb80c0cf25b4b02f3f38b0631) (classParma__Polyhedra__Library_1_1PIP__Problem_a8fc1017d7db28f674678a1ccc49ae7b2a624c8a3766d76f8eabbb18e9270b32c1)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_a8fc1017d7db28f674678a1ccc49ae7b2a9fbd7fce64abd6f1a6459300d77884f4) (classParma__Polyhedra__Library_1_1PIP__Problem_aa7ceb834deaff6303def1cbe95373edc)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_ab9663a6c08e6c35bea0da7fa41c81393) (classParma__Polyhedra__Library_1_1PIP__Problem_ad750455647786b5cb28c5422930f0ec0)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Problem_ae37362cbad36fd84d0896ab2f30679f3) (classParma__Polyhedra__Library_1_1PIP__Solution__Node)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Solution__Node_a02d378f2284277bd0cf98f4f5e9daa37) (classParma__Polyhedra__Library_1_1PIP__Solution__Node_a50a4be6352d2c6b88989c7a49bae79cf)]
+>> endobj
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+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Solution__Node_a8db329a321108295b995b5af1058ff37) (classParma__Polyhedra__Library_1_1PIP__Solution__Node_ac3cf88993e63370f39ad5ea8915ba2af)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Solution__Node_ac75ace456537db34732d1e1cca5e06de) (classParma__Polyhedra__Library_1_1PIP__Tree__Node_1_1Artificial__Parameter_a022891f0008542ea787d812e6e6f9e48)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Tree__Node_1_1Artificial__Parameter_a243d9267fe6a9414af634749b27dac8d) (classParma__Polyhedra__Library_1_1PIP__Tree__Node_1_1Artificial__Parameter_a6cb598653a5f9e64b0b42b88e5a9b5d1)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Tree__Node_1_1Artificial__Parameter_a78184503805baea26065449944702c97) (classParma__Polyhedra__Library_1_1PIP__Tree__Node_1_1Artificial__Parameter_ac2c8b1fa8685b79a6e0dac07128b24d9)]
+>> endobj
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+>> endobj
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+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Tree__Node_a48b522405ad8896775cbe6d2344bba4a) (classParma__Polyhedra__Library_1_1PIP__Tree__Node_a77459bc72a66ade5bdb58c0ce1aaf020)]
+>> endobj
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+>> endobj
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+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Tree__Node_ac9be59196bce4192897f34838353409b) (classParma__Polyhedra__Library_1_1PIP__Tree__Node_af0d04edca3b2e3d30f5d6de7499396b5)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1PIP__Tree__Node_af46a1a2668f581e1bc158db432912f35) (classParma__Polyhedra__Library_1_1Partially__Reduced__Product_a044a9170ed6ce87a5639723422c558d3)]
+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Partially__Reduced__Product_a087db98367a61b27b10726a05a218dbf) (classParma__Polyhedra__Library_1_1Partially__Reduced__Product_a150344138f9e354d0055c7d3fd5cd88e)]
+>> endobj
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+>> endobj
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+>> endobj
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+/Limits [(classParma__Polyhedra__Library_1_1Partially__Reduced__Product_a3ce6d8050a4040c9cea2beabc7c28a20) (classParma__Polyhedra__Library_1_1Partially__Reduced__Product_a43ab45399b7e22ffcd6403b7e59a473c)]
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+/Names [(classParma__Polyhedra__Library_1_1Pointset__Powerset_adc14d69a6aa5791d0c7f8a4b33e6555f) 14088 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_adc580eb211e4b01ea98205fd00cc10ed) 13942 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_add02f1e43203f711fb4ff5a3a2964c88) 14089 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_ae304e2fce9a44bf70cb231d3c5eee805) 14033 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_ae312d1f6cbaa566ae76eba2d5343afd0) [...]
+/Limits [(classParma__Polyhedra__Library_1_1Pointset__Powerset_adc14d69a6aa5791d0c7f8a4b33e6555f) (classParma__Polyhedra__Library_1_1Pointset__Powerset_aef0a1e3939a61e4689c395faa11ea2d3)]
+>> endobj
+18486 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Pointset__Powerset_af2a0481ba54986a813ecd5ddf38b32e3) 14073 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_af301ce44669a47cba65f442cb83df09e) 13938 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_af92f79edc91ff46f8c78bb88e125909d) 13951 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_afae9026c6dd798922151da40278851be) 13871 0 R (classParma__Polyhedra__Library_1_1Pointset__Powerset_afbcad3e472c43fa5fbaedc7ca116285c) [...]
+/Limits [(classParma__Polyhedra__Library_1_1Pointset__Powerset_af2a0481ba54986a813ecd5ddf38b32e3) (classParma__Polyhedra__Library_1_1Poly__Con__Relation)]
+>> endobj
+18487 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Poly__Con__Relation_a1dd09c87a931132dbee52ea24266866a) 14446 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_a4cc725a9fe3bdaded2c131bb8bb47ed8) 14392 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_a553ae81ae234cedad36e72b32c967e65) 14443 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_a62827195c6aeacf38a8fb3df6df8ff2e) 14444 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_a80b9d602f99df76039d58032b200 [...]
+/Limits [(classParma__Polyhedra__Library_1_1Poly__Con__Relation_a1dd09c87a931132dbee52ea24266866a) (classParma__Polyhedra__Library_1_1Poly__Con__Relation_a825bf274e880e1c8d51b42d32c69004e)]
+>> endobj
+18488 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Poly__Con__Relation_a9f09728ae53c8e3dadeb202f28bb6fdb) 14445 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_aa317e5d2d782c3589c48cb3b45d6790d) 14440 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_aa4b60ce3ac62aee15faac1b5035fdb4d) 14390 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_ab92b75d150bd5fbfc03cadec75d59e0f) 14391 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_ab9da0d811233cfb64481a7fe08b7 [...]
+/Limits [(classParma__Polyhedra__Library_1_1Poly__Con__Relation_a9f09728ae53c8e3dadeb202f28bb6fdb) (classParma__Polyhedra__Library_1_1Poly__Con__Relation_ac8b0d22ea3470020b35240f778c34a94)]
+>> endobj
+18489 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Poly__Con__Relation_ad1bc9d7804925b15f8205df0b3efc8a4) 14455 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_af00b427f47054a80d236d124443c580c) 14456 0 R (classParma__Polyhedra__Library_1_1Poly__Con__Relation_af7184f692efc0672e3213f6be9d5cf4c) 14454 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation) 1969 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a0ca2fc9566495b3d4ac6b970a301d9a1) 14484 0 R (classParma__Polyhe [...]
+/Limits [(classParma__Polyhedra__Library_1_1Poly__Con__Relation_ad1bc9d7804925b15f8205df0b3efc8a4) (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a306699ac7d5f2c2c909c3a3baf303009)]
+>> endobj
+18490 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a419ea78710f4b45c1542647e1212a3f7) 14483 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a4f7df2a0b66616d7672e562fa8c4e8f6) 14482 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a5740d23d50b9aa7c95e8b6b51242258d) 14529 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a6d5d2010157ae8f712e4a3e551d355d7) 14531 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a8ede6a8a55e35d1c41065b01afac [...]
+/Limits [(classParma__Polyhedra__Library_1_1Poly__Gen__Relation_a419ea78710f4b45c1542647e1212a3f7) (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_aa303fa28c55c391afe4f067f91db36ce)]
+>> endobj
+18491 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Poly__Gen__Relation_aaf9d682418e536d9a1f6bd24991e1c56) 14486 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_ad99eb5124bfcd9c75379efdde73d1a1a) 14524 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_ade82782e3363de460caad677b3583559) 14533 0 R (classParma__Polyhedra__Library_1_1Poly__Gen__Relation_af78754c1ef47797c0acbd31cf48f9caf) 14522 0 R (classParma__Polyhedra__Library_1_1Polyhedron) 1254 0 R (classParma__Polyhedra__Libr [...]
+/Limits [(classParma__Polyhedra__Library_1_1Poly__Gen__Relation_aaf9d682418e536d9a1f6bd24991e1c56) (classParma__Polyhedra__Library_1_1Polyhedron_a0514c2e57ac8154666e9fe6bb56c0e18)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a05fba1023938607f7c5e345c0be716e3) 14801 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a075036249d2478e1710f5d6350c849f3) 14719 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a08e91d11b3deb5b694356b5573d2547a) 14810 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a0a5c586d872f15baf7fd70941fc16c41) 14706 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a0c58bbc8bf8db5f570da3db42a0ae2f7) 14942 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a05fba1023938607f7c5e345c0be716e3) (classParma__Polyhedra__Library_1_1Polyhedron_a0d9abbf681b7b0724963d97596286ae5)]
+>> endobj
+18493 0 obj <<
+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a13f15417d90174f6c2d3648e83d9fcf5) 14705 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a1a3647877302fc6e0e583b8b881a7a4f) 14889 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a1c30b772596f8f342d0f05b9b142a932) 15028 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a1cecffe684d1faa9b0f6b8d4f227e9ae) 15025 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a1d7db8ee4d8972c1818a36d6517ebbff) 14945 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a13f15417d90174f6c2d3648e83d9fcf5) (classParma__Polyhedra__Library_1_1Polyhedron_a236a18fe8cc922d00ee92a6c6e42f923)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a249ea59c1765ea299f4d9471388aa5f9) 15029 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a26cdbeaa84beec1df0c9f86b73b20cfb) 14807 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a281b8db6a8e0014ab2c41dd15f8c0708) 14888 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a2bf7987a6ee3547c1e125e83e432ee2a) 14632 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a3065d01256aa333117e0ee24d99b4431) 14896 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a249ea59c1765ea299f4d9471388aa5f9) (classParma__Polyhedra__Library_1_1Polyhedron_a31d70a625e092dfdaed4f3232701f35d)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a3569a428ad758dc9ac8273e0f1f77772) 14714 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a371deb67f73bf27ac9a7ff6f2216db9c) 14882 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a3b49993a1cd4fc6891da88a6259b9f93) 14951 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a3c1e5a2419a5f4a5cf89133606ed1680) 14800 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a418f9959fe50f163773ad9de147821ed) 14957 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a3569a428ad758dc9ac8273e0f1f77772) (classParma__Polyhedra__Library_1_1Polyhedron_a43cd840b1ec99350c222b3f217739cea)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a49fe44155b41ca85f41b2abc99c39e13) 14799 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a4b428098e57a9101473a54cd71a0753f) 14803 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a4f514edad990412bd66cc666347103ab) 14809 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a4f9a47ba1b29f1e07a32542584d50686) 14710 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a50e1047c49fffb06bc5089a06a051a3d) 14811 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a49fe44155b41ca85f41b2abc99c39e13) (classParma__Polyhedra__Library_1_1Polyhedron_a527e7c81841bbcf1963c6e260dadfe01)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a547a8d96908afe5a7f9e4ba2e10d7ac8) 14943 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a5c5da855445b7c877a626d824dfce64e) 14367 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a5d53d09dcc839672fedd4ab5d4142d57) 14707 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a5df26655af3ae7844569d7086edf8332) 14703 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a5dfef947c46e234a1ffd4707312332ec) 14556 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a547a8d96908afe5a7f9e4ba2e10d7ac8) (classParma__Polyhedra__Library_1_1Polyhedron_a6187dbe974649c7bd4de8e66f70d3e46)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a672b0568e7a27c37b3afde649f7c0171) 14804 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a6b737abc8f33b2a2362e3f9c9ab08d58) 14956 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a6b987d283ce345c52b5d193c0688ad28) 14884 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a6c7c72e56241da463eaeccdff79b6d49) 14947 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a6e73a7d462d6a9a3891fff6c4a923495) 14701 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a672b0568e7a27c37b3afde649f7c0171) (classParma__Polyhedra__Library_1_1Polyhedron_a6e9d9dd7740b414d407c16687c99a88e)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a6fb94f0e966e97bfb9dcf43dddcf12ba) 14634 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a7366f9b91109b63f078e963bccd9f5b4) 14887 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a73cb0d61cccb259e06b68d4f83deb6d7) 14950 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a76c9012a376984a1b88823a59bd5bcde) 15031 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a7af48c81caa850300e6042bea1008a38) 14702 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a6fb94f0e966e97bfb9dcf43dddcf12ba) (classParma__Polyhedra__Library_1_1Polyhedron_a7b8d597a3c23af1fce9d8d3e1d36e11d)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a7df62db3bf13024d4ee9f8aaf0d27dc6) 14708 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a7e68bea365fe939d08c91ec4edc61a2b) 14796 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a8132d1a9b329271fb4f7faeb59c89c39) 14802 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a858e0030826ee6c29545a934166874ef) 15024 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a86d2bbceaa288f2f605ac88516d313cb) 14959 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a7df62db3bf13024d4ee9f8aaf0d27dc6) (classParma__Polyhedra__Library_1_1Polyhedron_a87ebe6f7cd176227f61c6d0fe47a4f68)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a8af124edba7c75bc76ec394405aa893e) 15036 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a8c33b9ea975535b5aa0882241cf78986) 14637 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a8ed700f662722cbebdc9328344ba2839) 14638 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a90016052cbe535d7e8b1e20a2c599053) 14885 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a941caad4d0717e0fab30bf246adc0370) 15034 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a8af124edba7c75bc76ec394405aa893e) (classParma__Polyhedra__Library_1_1Polyhedron_a96e902093a55f87f0aebc2bb13a8d740)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_a9764ef2f159cfdcca3f151e899bd43ef) 14892 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a97ddb3b93ac699eebaca7e79f691b0ad) 14559 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a98c785602c5af8f7e0c1be92bb5e8b71) 14883 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a9a45b4b8f148a20359a2f3e2b1c2cb2d) 14711 0 R (classParma__Polyhedra__Library_1_1Polyhedron_a9bc768bb8d7d9b971b44b8b3be738963) 14958 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_a9764ef2f159cfdcca3f151e899bd43ef) (classParma__Polyhedra__Library_1_1Polyhedron_a9f3c5474494eb306717bc3da7c109307)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_aa0ac997a15935821583174de968e5bff) 14640 0 R (classParma__Polyhedra__Library_1_1Polyhedron_aa26e1a5815b7a0c3b610395c854594bf) 14718 0 R (classParma__Polyhedra__Library_1_1Polyhedron_aa38fbbd15d5dc2e98d5b24c92b06c290) 14946 0 R (classParma__Polyhedra__Library_1_1Polyhedron_aa39bdf85d6db02629fa73bbcaddab6d5) 14952 0 R (classParma__Polyhedra__Library_1_1Polyhedron_aa6b6fed08414c86d33fc4a44c59e9e22) 14894 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_aa0ac997a15935821583174de968e5bff) (classParma__Polyhedra__Library_1_1Polyhedron_aa78179b1d8478dce6cf572af8e0b9cb4)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_aa809bff4b85d09cd801e5e5cde1b8c06) 14805 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ab1b315e7f04c051a36f48d344dd34052) 14712 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ab4959b3da46291de301d9150f5afc3aa) 14961 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ab6ab1820f2fdf444d1431ff3af424451) 14960 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ab7a35f8df974c9e932df6291754859fb) 14631 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_aa809bff4b85d09cd801e5e5cde1b8c06) (classParma__Polyhedra__Library_1_1Polyhedron_abbb7562de97ccf13bd97b57bb5e3ac94)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_abfd98397c137d81dcc27111fba3ccd54) 14717 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ac2182f38e9f8acede601c3dcfa71c3b3) 14704 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ac251eb38d1b24b8b570d874ee11df424) 14645 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ac26060b9b14465d4f1d948ab9c838c9c) 14886 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ac5c7acc50141a9104ef5b9b7598c1438) 14649 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_abfd98397c137d81dcc27111fba3ccd54) (classParma__Polyhedra__Library_1_1Polyhedron_ac6ea1802e6a6cfb32e5af6d6d26eb424)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_ac93800b9ec7aae75937598e1f2209b1f) 14806 0 R (classParma__Polyhedra__Library_1_1Polyhedron_acbc86683af6afc0818cc9e980a84fcb8) 14812 0 R (classParma__Polyhedra__Library_1_1Polyhedron_acf531d280805472a54c22fed0f689932) 14891 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ad020ca98ef94bc16e1050da4e0d54971) 15032 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ad6a8cc7029bad7ad7ad116c90ff59aec) 14715 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_ac93800b9ec7aae75937598e1f2209b1f) (classParma__Polyhedra__Library_1_1Polyhedron_ad6d1e866b7ba9bf4233f3a5254cda0f9)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_ad84befb6d0ded481871cbef1b7306824) 15033 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ad909d5b60cab5d1a6816577c97b60fcf) 14636 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ad914801461cad05325559e95b9c4d9c6) 14651 0 R (classParma__Polyhedra__Library_1_1Polyhedron_adee3b5c0c3800ce2214e68a156cbcf77) 14897 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ae10fbc38125e63858549f5ec8a25e046) 14880 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_ad84befb6d0ded481871cbef1b7306824) (classParma__Polyhedra__Library_1_1Polyhedron_ae1c5216e2ba5c80d77e128daea25b46e)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_ae3be29eddce8f41019e7dcb731c8ba7b) 14646 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ae58a861a42c5216a2267e3f94ecaec8c) 14953 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ae680437fdc213b7174c581caa2e0c0d3) 14650 0 R (classParma__Polyhedra__Library_1_1Polyhedron_ae89cd985111a1a27c60a6fcc28ae9788) 14813 0 R (classParma__Polyhedra__Library_1_1Polyhedron_aeb14f5522982b3874f2cd19586813421) 14797 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_ae3be29eddce8f41019e7dcb731c8ba7b) (classParma__Polyhedra__Library_1_1Polyhedron_aeeb72a31f8e1823de7a8123585a331b6)]
+>> endobj
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+/Names [(classParma__Polyhedra__Library_1_1Polyhedron_aefab726809c553c136e5d8fda50c276e) 14944 0 R (classParma__Polyhedra__Library_1_1Polyhedron_af074d4d4d406dd065812b32cc8714222) 14890 0 R (classParma__Polyhedra__Library_1_1Polyhedron_af15f956dac6d4b19ecd8fee0f9718f29) 15021 0 R (classParma__Polyhedra__Library_1_1Polyhedron_af47944944e16e786df5c0671e7baa995) 14808 0 R (classParma__Polyhedra__Library_1_1Polyhedron_af496ec55802726ee3b39e52458ab0647) 14954 0 R (classParma__Polyhedra__Libra [...]
+/Limits [(classParma__Polyhedra__Library_1_1Polyhedron_aefab726809c553c136e5d8fda50c276e) (classParma__Polyhedra__Library_1_1Polyhedron_af60c3f345fb8ec8c708e49e8fa33f737)]
+>> endobj
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+/Limits [(table.901) (table.906)]
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+/Limits [(table.907) (table.911)]
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+/Limits [(table.912) (table.917)]
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+/Limits [(table.918) (table.922)]
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+/Limits [(table.923) (table.928)]
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+/Limits [(table.929) (table.933)]
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+/Limits [(table.934) (table.94)]
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+/Limits [(Doc-Start) (classParma__Polyhedra__Library_1_1BD__Shape_a39b8f1fb08978701670894460a54cf61)]
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+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Poly__Con__Relation_afc62e3c93daf5e744e4b3e450c7c7270) 2359 0 R (classparma__polyhedra__library_1_1Poly__Gen__Relation) 813 0 R (classparma__polyhedra__library_1_1Poly__Gen__Relation_a29127d8da5f0b833c4a89dbe3d41be27) 2376 0 R (classparma__polyhedra__library_1_1Poly__Gen__Relation_a40a81d6ee69dc679f08c5e89a101dfbb) 2379 0 R (classparma__polyhedra__library_1_1Poly__Gen__Relation_adebb1fbe14ec8f0b88fb538b86f0873b) 2380 0 R (classparma__polyhedra__ [...]
+/Limits [(classparma__polyhedra__library_1_1Poly__Con__Relation_afc62e3c93daf5e744e4b3e450c7c7270) (classparma__polyhedra__library_1_1Poly__Gen__Relation_afe2f6db5c7f1a92104fe7efa0c301a45)]
+>> endobj
+3492 0 obj <<
+/Names [(classparma__polyhedra__library_1_1Polyhedron) 814 0 R (classparma__polyhedra__library_1_1Polyhedron_a00413902e11b669bca9a8c81438202ee) 2658 0 R (classparma__polyhedra__library_1_1Polyhedron_a0e578573084aafbf76c85db7dd1363be) 2651 0 R (classparma__polyhedra__library_1_1Polyhedron_a110353a7864529b85d5465ac1bce2670) 2497 0 R (classparma__polyhedra__library_1_1Polyhedron_a1217cb151cbdbbcf4391987b9e2d232c) 2434 0 R (classparma__polyhedra__library_1_1Polyhedron_a1680eecb6021ebdb33388e [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron) (classparma__polyhedra__library_1_1Polyhedron_a1680eecb6021ebdb33388e32932e6ecc)]
+>> endobj
+3493 0 obj <<
+/Names [(classparma__polyhedra__library_1_1Polyhedron_a18afe96aac90a2f8f635fb0e3722fcc3) 2595 0 R (classparma__polyhedra__library_1_1Polyhedron_a1b75c266a974976557206ce451e45967) 2591 0 R (classparma__polyhedra__library_1_1Polyhedron_a1e5d8d199e0bcd20aeacd72b2fef10f6) 2505 0 R (classparma__polyhedra__library_1_1Polyhedron_a268b22472143daa3e8f2d0828d1ad565) 2662 0 R (classparma__polyhedra__library_1_1Polyhedron_a284af200f2e06dcfc079a58b3d4d6a59) 2491 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a18afe96aac90a2f8f635fb0e3722fcc3) (classparma__polyhedra__library_1_1Polyhedron_a2b74eef4fc5f2e35ba14f734f0e8e167)]
+>> endobj
+3494 0 obj <<
+/Names [(classparma__polyhedra__library_1_1Polyhedron_a34c73f38bc99dbcb38cc7214e1e0e82d) 2419 0 R (classparma__polyhedra__library_1_1Polyhedron_a3527c6d35935d9860c07b31970d6dfc4) 2424 0 R (classparma__polyhedra__library_1_1Polyhedron_a3797a521b54434e13ed2843ebd88a8c1) 2508 0 R (classparma__polyhedra__library_1_1Polyhedron_a3cdef8e8e717e8aae495db38ab2f3555) 2652 0 R (classparma__polyhedra__library_1_1Polyhedron_a3d3179300b5bf2b41a40b5b76650f8e7) 2492 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a34c73f38bc99dbcb38cc7214e1e0e82d) (classparma__polyhedra__library_1_1Polyhedron_a3d6404d09696f8b693b9260d267df2c3)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_a4211b10c19024d7056b4e36e4d2b7cff) 2416 0 R (classparma__polyhedra__library_1_1Polyhedron_a427ee580c9a357d0e154cd2520dbe33a) 2657 0 R (classparma__polyhedra__library_1_1Polyhedron_a4399e57484eec3301f8b88011c53c35b) 2507 0 R (classparma__polyhedra__library_1_1Polyhedron_a501e48144147e2563edc52dcd49503f9) 2589 0 R (classparma__polyhedra__library_1_1Polyhedron_a513cc77545233d96c437ba7e1d001557) 2421 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a4211b10c19024d7056b4e36e4d2b7cff) (classparma__polyhedra__library_1_1Polyhedron_a52ae035a37af93cc3115f3a45f4e032c)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_a56e3a5f9a94fb76a527fedea1bbd83cd) 2645 0 R (classparma__polyhedra__library_1_1Polyhedron_a58869dfc76ca4a5a51e1e130096cfc88) 2692 0 R (classparma__polyhedra__library_1_1Polyhedron_a5955d6b18f4135b382ca0db2479c11ac) 2592 0 R (classparma__polyhedra__library_1_1Polyhedron_a5c577b51724616ef96f58ce0f2fec482) 2488 0 R (classparma__polyhedra__library_1_1Polyhedron_a60ee53b704270f784fad7eab1a542bfd) 2415 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a56e3a5f9a94fb76a527fedea1bbd83cd) (classparma__polyhedra__library_1_1Polyhedron_a62737490fa8ee8763ee2ff8b54847670)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_a66510fe1afe13b5f7334057bc96efa36) 2582 0 R (classparma__polyhedra__library_1_1Polyhedron_a6be74fc6a3ef7d8e1c1939536af2a943) 2583 0 R (classparma__polyhedra__library_1_1Polyhedron_a6c51199902356b837c63915caaab7a40) 2571 0 R (classparma__polyhedra__library_1_1Polyhedron_a6e35f9362b9f7ed65be59ae07f1da622) 2585 0 R (classparma__polyhedra__library_1_1Polyhedron_a701a35ba2b5418869a471932535cf9e5) 2590 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a66510fe1afe13b5f7334057bc96efa36) (classparma__polyhedra__library_1_1Polyhedron_a73a395dac9898b73e0782a47f4537cd7)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_a7ce8a057ee2d4a20b8820da2bb6dc2af) 2425 0 R (classparma__polyhedra__library_1_1Polyhedron_a7e4588dc8f29c46edfb1fa34e6a9d424) 2496 0 R (classparma__polyhedra__library_1_1Polyhedron_a7f35fe17c4c48b15ddb66e52e110c2bd) 2647 0 R (classparma__polyhedra__library_1_1Polyhedron_a812e3b442d41612ca88f8905d6cb49bd) 2414 0 R (classparma__polyhedra__library_1_1Polyhedron_a81715f656d39c399cf4d63b72635194c) 2661 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a7ce8a057ee2d4a20b8820da2bb6dc2af) (classparma__polyhedra__library_1_1Polyhedron_a8561bc8f545197343c8cf1935e794af3)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_a86d72df251b72aa131ecdad46fe9a860) 2655 0 R (classparma__polyhedra__library_1_1Polyhedron_a8a9706372c9b371938f04b68516bb407) 2504 0 R (classparma__polyhedra__library_1_1Polyhedron_a8bf0912e9b611d41ee76da66fd1bd28f) 2690 0 R (classparma__polyhedra__library_1_1Polyhedron_a8f50e6dcc51327c56d99dc964961d6a2) 2498 0 R (classparma__polyhedra__library_1_1Polyhedron_a920814c13d635e9a503551b0988c2958) 2594 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a86d72df251b72aa131ecdad46fe9a860) (classparma__polyhedra__library_1_1Polyhedron_a945f11d66765e2f542f9c4fb654589d2)]
+>> endobj
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+/Limits [(classparma__polyhedra__library_1_1Polyhedron_a950e7082860fadc45452ffe241de4488) (classparma__polyhedra__library_1_1Polyhedron_a9f1fcbebed65fafcc7439ce24392b59a)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_aa01e5f8c42361cc03aba32786c4f9e3d) 2578 0 R (classparma__polyhedra__library_1_1Polyhedron_aaec18d4d5bd29cd38e153b4602e027da) 2650 0 R (classparma__polyhedra__library_1_1Polyhedron_ab11bfde2a1ce71a607644a38cb914b13) 2653 0 R (classparma__polyhedra__library_1_1Polyhedron_ab6edbecd120074f2661ed2cd06ce1cd1) 2435 0 R (classparma__polyhedra__library_1_1Polyhedron_ab780403b7f3997c5f5703ea0218c2841) 2487 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_aa01e5f8c42361cc03aba32786c4f9e3d) (classparma__polyhedra__library_1_1Polyhedron_ab8ef27e25132c083ae1b59d3162fa21a)]
+>> endobj
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+/Limits [(classparma__polyhedra__library_1_1Polyhedron_abdf75082ed3ae874de8fa5cb0198e080) (classparma__polyhedra__library_1_1Polyhedron_ac76c332a5b267f6b6bd749cc3b9e192e)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_acd5b7ab06d657819656175f7d6a0cd0d) 2584 0 R (classparma__polyhedra__library_1_1Polyhedron_acdf10439693c83932d0de9a5cf35b396) 2579 0 R (classparma__polyhedra__library_1_1Polyhedron_ad38a887658485f32f589a57a74e6a78c) 2646 0 R (classparma__polyhedra__library_1_1Polyhedron_ada449a9c1a600893585256666d6fe331) 2648 0 R (classparma__polyhedra__library_1_1Polyhedron_ae17f1279a841b6efc0efa6441878c025) 2417 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_acd5b7ab06d657819656175f7d6a0cd0d) (classparma__polyhedra__library_1_1Polyhedron_ae32bc538fedce99e602767b1065ad599)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_ae899d1e624241d1328d6c6421f5485e6) 2593 0 R (classparma__polyhedra__library_1_1Polyhedron_aee40105531fe1008562584274189cf35) 2691 0 R (classparma__polyhedra__library_1_1Polyhedron_aef8d1e4a767f5ea79384588d0e19b83c) 2586 0 R (classparma__polyhedra__library_1_1Polyhedron_af04e7f91e1cfaf69dcee2df81c3d64c3) 2580 0 R (classparma__polyhedra__library_1_1Polyhedron_af26aee5944d076192d5f6a12086c28f7) 2581 0 R (classparma__polyhedra__library_1_ [...]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_ae899d1e624241d1328d6c6421f5485e6) (classparma__polyhedra__library_1_1Polyhedron_afba20cade6fa4fcd26b81086a02923e5)]
+>> endobj
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+/Names [(classparma__polyhedra__library_1_1Polyhedron_afd99082f48df543223c3152ca1fe600c) 2418 0 R (classparma__polyhedra__library_1_1Polyhedron_afdef7f8fe0ba899b496aaa369780dfda) 2506 0 R (classparma__polyhedra__library_1_1Timeout__Exception) 816 0 R (classparma__polyhedra__library_1_1Timeout__Exception_a66765523c60cdb348393876561c5d0e7) 3034 0 R (classparma__polyhedra__library_1_1Variable) 817 0 R (classparma__polyhedra__library_1_1Variable_a008168f710b00996c0183f79c23031fb) 3055 0 R]
+/Limits [(classparma__polyhedra__library_1_1Polyhedron_afd99082f48df543223c3152ca1fe600c) (classparma__polyhedra__library_1_1Variable_a008168f710b00996c0183f79c23031fb)]
+>> endobj
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+/Limits [(classparma__polyhedra__library_1_1Variable_a515c8c049d322413eade7a3f05721444) (enumparma__polyhedra__library_1_1Bounded__Integer__Type__Overflow)]
+>> endobj
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+/Limits [(enumparma__polyhedra__library_1_1Bounded__Integer__Type__Overflow_a1834eabb1a60cd21454609bb6af2b70c) (enumparma__polyhedra__library_1_1Bounded__Integer__Type__Width_a0940a9ce95b204cbc7b0ba075e3802be)]
+>> endobj
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+/Names [(enumparma__polyhedra__library_1_1Bounded__Integer__Type__Width_a239f39386ac001c6c20a50505e8bb671) 1034 0 R (enumparma__polyhedra__library_1_1Bounded__Integer__Type__Width_a26d3ec66128ed1a32ecf5905b0beae28) 1032 0 R (enumparma__polyhedra__library_1_1Bounded__Integer__Type__Width_a6a6f001254ef8c3b3eddb432ca6e9dbe) 1033 0 R (enumparma__polyhedra__library_1_1Complexity__Class) 685 0 R (enumparma__polyhedra__library_1_1Complexity__Class_a00d82d93d2d0113f1ea5b615decb2849) 1176 0 R (en [...]
+/Limits [(enumparma__polyhedra__library_1_1Bounded__Integer__Type__Width_a239f39386ac001c6c20a50505e8bb671) (enumparma__polyhedra__library_1_1Complexity__Class_a5c1b244e9422e1c29c71844a9f896aee)]
+>> endobj
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+/Names [(enumparma__polyhedra__library_1_1Control__Parameter__Name) 689 0 R (enumparma__polyhedra__library_1_1Control__Parameter__Name_a3d873e83cf77a02b55c7d6d6d245ed23) 1259 0 R (enumparma__polyhedra__library_1_1Control__Parameter__Value) 690 0 R (enumparma__polyhedra__library_1_1Control__Parameter__Value_a7483a53d677492ed42b591525243d243) 1264 0 R (enumparma__polyhedra__library_1_1Control__Parameter__Value_ac1791e52b930ea1fc3863866a26b1a81) 1262 0 R (enumparma__polyhedra__library_1_1Co [...]
+/Limits [(enumparma__polyhedra__library_1_1Control__Parameter__Name) (enumparma__polyhedra__library_1_1Control__Parameter__Value_ad6243026e52cac8f2b4ef458ff4b760f)]
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+/Limits [(enumparma__polyhedra__library_1_1Degenerate__Element) (enumparma__polyhedra__library_1_1Generator__Type_aa8aee01f50041535fba84ef399e5ee81)]
+>> endobj
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diff --git a/doc/ppl-user-prolog-interface-1.0.ps.gz b/doc/ppl-user-prolog-interface-1.0.ps.gz
deleted file mode 100644
index 32c9c59..0000000
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diff --git a/doc/ppl-user-prolog-interface-1.1pre8-html.tar.gz b/doc/ppl-user-prolog-interface-1.1pre8-html.tar.gz
new file mode 100644
index 0000000..09592a9
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diff --git a/doc/ppl-user-prolog-interface-1.1pre8.pdf b/doc/ppl-user-prolog-interface-1.1pre8.pdf
new file mode 100644
index 0000000..3ff9071
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diff --git a/doc/ppl-user-prolog-interface-1.1pre8.ps.gz b/doc/ppl-user-prolog-interface-1.1pre8.ps.gz
new file mode 100644
index 0000000..a3ce203
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diff --git a/doc/ppl.bib b/doc/ppl.bib
index 1f79be3..0d73b78 100644
--- a/doc/ppl.bib
+++ b/doc/ppl.bib
@@ -1,7 +1,7 @@
A bibliography of papers that were consulted and/or written
for the design and implementation of the Parma Polyhedra Library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara AT cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This BibTeX database is made available under the Open Data Commons
Attribution License (ODC-By) v1.0, which is reproduced below for your
@@ -1787,7 +1787,7 @@ Summarizing:
The result is an efficient automatic tool for approximate,
but conservative, verification of reachability properties
of these systems.",
- URL = "http://www-verimag.imag.fr/PEOPLE/Nicolas.Halbwachs/hybrid.html"
+ URL = "http://www-verimag.imag.fr/~halbwach/hybrid.html"
}
@Manual{HalbwachsKP95,
@@ -1848,7 +1848,7 @@ Summarizing:
sufficient precision is obtained. We consider the
standard abstract convex-hull operator and a novel
abstract extrapolation operator.",
- URL = "http://www-cad.eecs.berkeley.edu/HomePages/tah/Publications/abstract-interpretation_strategies_for_hybrid_automata.html"
+ URL = "http://pub.ist.ac.at/~tah/Publications/abstract-interpretation_strategies_for_hybrid_automata.html"
}
@InProceedings{HenzingerPW01,
@@ -1874,7 +1874,7 @@ Summarizing:
to address some of the tool's shortcomings. We evaluate
these extensions, and conclude with some desiderata for
verification tools for hybrid systems.",
- URL = "http://www-cad.eecs.berkeley.edu/HomePages/tah/Publications/some_lessons_from_the_hytech_experience.html"
+ URL = "http://pub.ist.ac.at/~tah/Publications/some_lessons_from_the_hytech_experience.html"
}
@TechReport{HuelsbergenHL90,
diff --git a/doc/ppl.sty b/doc/ppl.sty
index 0d24812..369a0bc 100644
--- a/doc/ppl.sty
+++ b/doc/ppl.sty
@@ -1,6 +1,6 @@
%% LaTeX package providing macros for typesetting the PPL manuals.
%% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-%% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+%% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%%
%% This file is part of the Parma Polyhedra Library (PPL).
%%
diff --git a/doc/ppl_citations.bib b/doc/ppl_citations.bib
index 0e8e854..f89c823 100644
--- a/doc/ppl_citations.bib
+++ b/doc/ppl_citations.bib
@@ -1,7 +1,7 @@
A bibliography of papers that cite the Parma Polyhedra Library
and/or the works that defined the theory upon which it is based.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara AT cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This BibTeX database is made available under the Open Data Commons
Attribution License (ODC-By) v1.0, which is reproduced below for your
@@ -56,7 +56,7 @@ Summarizing:
@Article{AlbertACGPZ12,
Author = "E. Albert and P. Arenas and S. Genaim and G. Puebla
and D. Zanardini",
- Title = "Cost analysis of object-oriented bytecode programs",
+ Title = "Cost Analysis of Object-Oriented Bytecode Programs",
Journal = "Theoretical Computer Science",
Volume = 413,
Number = 1,
@@ -285,6 +285,25 @@ Summarizing:
programs."
}
+ at Article{AmatoPS12,
+ Author = "G. Amato and M. Parton and F. Scozzari",
+ Title = "Discovering Invariants via Simple Component Analysis",
+ Journal = "Journal of Symbolic Computation",
+ Volume = 47,
+ Number = 12,
+ Year = 2012,
+ Pages = "1533--1560",
+ Abstract = "We propose a new technique combining dynamic and static
+ analysis of programs to find linear invariants. We use a
+ statistical tool, called simple component analysis, to
+ analyze partial execution traces of a given program. We
+ get a new coordinate system in the vector space of
+ program variables, which is used to specialize numerical
+ abstract domains. As an application, we instantiate our
+ technique to interval analysis of simple imperative
+ programs and show some experimental evaluations."
+}
+
@Inproceedings{AmatoS12,
Author = "G. Amato and F. Scozzari",
Title = "Random: R-Based Analyzer for Numerical Domains",
@@ -511,7 +530,7 @@ Summarizing:
Institution = "Departament de Llenguatges i Sistemes Inform{\`a}tics,
Universitat Polit{\`e}cnica de Catalunya, Barcelona, Spain",
Year = 2005,
- Note = "Available at \url{http://www.lsi.upc.es/dept/techreps/techreps.html}"
+ Note = "Available at \url{http://www.lsi.upc.edu/dept/techreps/techreps.html}"
}
@Incollection{BandaG09,
@@ -2172,7 +2191,7 @@ Summarizing:
Title = "Software Model Checking",
Journal = "ACM Computing Surveys",
Volume = 41,
- Nnumber = 4,
+ Number = 4,
Year = 2009,
Pages = "1--54",
Publisher = "ACM Press",
diff --git a/doc/user-language-interface.tex b/doc/user-language-interface.tex
index 7a8bfea..df64139 100644
--- a/doc/user-language-interface.tex
+++ b/doc/user-language-interface.tex
@@ -1,5 +1,5 @@
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This document describes the Parma Polyhedra Library (PPL).
%
@@ -118,7 +118,7 @@ Abramo Bagnara\thanks{abramo.bagnara at bugseng.com,
\newpage
Copyright \copyright\ 2001--2010 Roberto Bagnara (bagnara at cs.unipr.it) \\
-Copyright \copyright\ 2010--2012 BUGSENG srl (http://bugseng.com)
+Copyright \copyright\ 2010--2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/doc/user.tex b/doc/user.tex
index 3d5a3dc..32469b7 100644
--- a/doc/user.tex
+++ b/doc/user.tex
@@ -1,5 +1,5 @@
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This document describes the Parma Polyhedra Library (PPL).
%
@@ -117,7 +117,7 @@ Abramo Bagnara\thanks{abramo.bagnara at bugseng.com,
\newpage
Copyright \copyright\ 2001--2010 Roberto Bagnara (bagnara at cs.unipr.it) \\
-Copyright \copyright\ 2010--2012 BUGSENG srl (http://bugseng.com)
+Copyright \copyright\ 2010--2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/instchk.hh b/instchk.hh
index bf96d43..93702b0 100644
--- a/instchk.hh
+++ b/instchk.hh
@@ -1,7 +1,7 @@
/* Fake declarations to test the validity of the arguments of the
--enabled-instantiations option defined in configure.ac.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/C/C_interface.dox b/interfaces/C/C_interface.dox
index c044bad..5351b21 100644
--- a/interfaces/C/C_interface.dox
+++ b/interfaces/C/C_interface.dox
@@ -1,6 +1,6 @@
/* Doxumentation for the C language interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -254,7 +254,7 @@ ppl_assign_NNC_Polyhedron_from_NNC_Polyhedron
*/
int
ppl_new_C_Polyhedron_from_NNC_Polyhedron(ppl_Polyhedron_t* pph,
- ppl_const_Polyhedron_t ph);
+ ppl_const_Polyhedron_t ph);
/*! \relates ppl_Polyhedron_tag \brief
Builds a C polyhedron that approximates NNC_Polyhedron \p ph,
@@ -277,7 +277,7 @@ ppl_new_C_Polyhedron_from_NNC_Polyhedron_with_complexity
*/
int
ppl_new_NNC_Polyhedron_from_C_Polyhedron(ppl_Polyhedron_t* pph,
- ppl_const_Polyhedron_t ph);
+ ppl_const_Polyhedron_t ph);
/*! \relates ppl_Polyhedron_tag \brief
Builds an NNC polyhedron that approximates C_Polyhedron \p ph,
diff --git a/interfaces/C/Makefile.am b/interfaces/C/Makefile.am
index a900889..407ac02 100644
--- a/interfaces/C/Makefile.am
+++ b/interfaces/C/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -88,7 +88,7 @@ ppl_c.h: ppl_c_header.h ppl_c_version.h ppl_c_domains.h Makefile $(top_builddir)
else !HAVE_PERL
ppl_c.h: ppl_c.h.dist
- cp -f $< $@
+ cp -f ppl_c.h.dist $@
endif !HAVE_PERL
@@ -140,8 +140,8 @@ AM_CPPFLAGS = \
lib_LTLIBRARIES = libppl_c.la
libppl_c_la_SOURCES = \
-ppl_c_implementation_common.defs.hh \
-ppl_c_implementation_common.inlines.hh \
+ppl_c_implementation_common_defs.hh \
+ppl_c_implementation_common_inlines.hh \
ppl_c_implementation_common.cc
nodist_libppl_c_la_SOURCES =
diff --git a/interfaces/C/Makefile.in b/interfaces/C/Makefile.in
index e016e2d..46d93d8 100644
--- a/interfaces/C/Makefile.in
+++ b/interfaces/C/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ build_triplet = @build@
host_triplet = @host@
subdir = interfaces/C
DIST_COMMON = $(include_HEADERS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in $(srcdir)/ppl_c_version.h.in
+ $(srcdir)/Makefile.in $(srcdir)/ppl_c_version.h.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -129,9 +146,22 @@ libppl_c_la_OBJECTS = $(am_libppl_c_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_c_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(libppl_c_la_LDFLAGS) $(LDFLAGS) -o $@
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -144,17 +174,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -163,17 +192,16 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_c_la_SOURCES) $(nodist_libppl_c_la_SOURCES) \
$(nodist_EXTRA_libppl_c_la_SOURCES)
DIST_SOURCES = $(libppl_c_la_SOURCES)
@@ -184,6 +212,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
HEADERS = $(include_HEADERS) $(nodist_noinst_HEADERS)
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
@@ -486,8 +519,8 @@ AM_CPPFLAGS = \
lib_LTLIBRARIES = libppl_c.la
libppl_c_la_SOURCES = \
-ppl_c_implementation_common.defs.hh \
-ppl_c_implementation_common.inlines.hh \
+ppl_c_implementation_common_defs.hh \
+ppl_c_implementation_common_inlines.hh \
ppl_c_implementation_common.cc
nodist_libppl_c_la_SOURCES =
@@ -635,7 +668,6 @@ ppl_c_version.h: $(top_builddir)/config.status $(srcdir)/ppl_c_version.h.in
cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@
install-libLTLIBRARIES: $(lib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(libdir)" || $(MKDIR_P) "$(DESTDIR)$(libdir)"
@list='$(lib_LTLIBRARIES)'; test -n "$(libdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -643,6 +675,8 @@ install-libLTLIBRARIES: $(lib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(libdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(libdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(libdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(libdir)"; \
}
@@ -658,12 +692,14 @@ uninstall-libLTLIBRARIES:
clean-libLTLIBRARIES:
-test -z "$(lib_LTLIBRARIES)" || rm -f $(lib_LTLIBRARIES)
- @list='$(lib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(lib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_c.la: $(libppl_c_la_OBJECTS) $(libppl_c_la_DEPENDENCIES) $(EXTRA_libppl_c_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_c_la_LINK) -rpath $(libdir) $(libppl_c_la_OBJECTS) $(libppl_c_la_LIBADD) $(LIBS)
@@ -774,8 +810,11 @@ clean-libtool:
-rm -rf .libs _libs
install-includeHEADERS: $(include_HEADERS)
@$(NORMAL_INSTALL)
- test -z "$(includedir)" || $(MKDIR_P) "$(DESTDIR)$(includedir)"
@list='$(include_HEADERS)'; test -n "$(includedir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(includedir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(includedir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -792,12 +831,12 @@ uninstall-includeHEADERS:
dir='$(DESTDIR)$(includedir)'; $(am__uninstall_files_from_dir)
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -807,7 +846,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -821,37 +864,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -860,6 +872,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -923,6 +939,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -958,13 +988,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -1103,24 +1130,24 @@ ps-am:
uninstall-am: uninstall-includeHEADERS uninstall-libLTLIBRARIES
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) all check \
- ctags-recursive install install-am install-strip \
- tags-recursive
+ cscopelist-recursive ctags-recursive install install-am \
+ install-strip tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-generic \
- clean-libLTLIBRARIES clean-libtool ctags ctags-recursive \
- dist-hook distclean distclean-compile distclean-generic \
- distclean-libtool distclean-tags distdir dvi dvi-am html \
- html-am info info-am install install-am install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am \
- install-includeHEADERS install-info install-info-am \
- install-libLTLIBRARIES install-man install-pdf install-pdf-am \
- install-ps install-ps-am install-strip installcheck \
- installcheck-am installdirs installdirs-am maintainer-clean \
- maintainer-clean-generic mostlyclean mostlyclean-compile \
- mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
- tags tags-recursive uninstall uninstall-am \
+ clean-libLTLIBRARIES clean-libtool cscopelist \
+ cscopelist-recursive ctags ctags-recursive dist-hook distclean \
+ distclean-compile distclean-generic distclean-libtool \
+ distclean-tags distdir dvi dvi-am html html-am info info-am \
+ install install-am install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-includeHEADERS install-info \
+ install-info-am install-libLTLIBRARIES install-man install-pdf \
+ install-pdf-am install-ps install-ps-am install-strip \
+ installcheck installcheck-am installdirs installdirs-am \
+ maintainer-clean maintainer-clean-generic mostlyclean \
+ mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
+ pdf pdf-am ps ps-am tags tags-recursive uninstall uninstall-am \
uninstall-includeHEADERS uninstall-libLTLIBRARIES
@@ -1130,7 +1157,7 @@ uninstall-am: uninstall-includeHEADERS uninstall-libLTLIBRARIES
@HAVE_PERL_TRUE@ $(top_srcdir)/interfaces/C/ppl_c_header.h >$@
@HAVE_PERL_FALSE at ppl_c.h: ppl_c.h.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f ppl_c.h.dist $@
# ppl_c.h is not distributed.
# ppl_c.h.dist, which is distributed, is a copy of ppl_c.h.
diff --git a/interfaces/C/ppl_c.h.dist b/interfaces/C/ppl_c.h.dist
index 2ccb2be..ba74a00 100644
--- a/interfaces/C/ppl_c.h.dist
+++ b/interfaces/C/ppl_c.h.dist
@@ -1,6 +1,6 @@
/* This is the header file of the C interface of the Parma Polyhedra Library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -259,7 +259,7 @@ ppl_set_irrational_precision PPL_PROTO((unsigned p));
PPL_VERSION_BETA is zero, <CODE>M "." m "." r "pre" b</CODE> if
neither PPL_VERSION_REVISION nor PPL_VERSION_BETA are zero.
*/
-#define PPL_VERSION "1.0"
+#define PPL_VERSION "1.1pre8"
/*! \brief
The major number of the PPL version.
@@ -271,7 +271,7 @@ ppl_set_irrational_precision PPL_PROTO((unsigned p));
The minor number of the PPL version.
\ingroup Version
*/
-#define PPL_VERSION_MINOR 0
+#define PPL_VERSION_MINOR 1
/*! \brief
The revision number of the PPL version.
@@ -284,7 +284,7 @@ ppl_set_irrational_precision PPL_PROTO((unsigned p));
releases and nonzero for development snapshots.
\ingroup Version
*/
-#define PPL_VERSION_BETA 0
+#define PPL_VERSION_BETA 8
/*! \brief
Returns the major number of the PPL version.
@@ -397,7 +397,7 @@ enum ppl_enum_error_code {
*/
int
ppl_set_error_handler PPL_PROTO((void (*h)(enum ppl_enum_error_code code,
- const char* description)));
+ const char* description)));
/*@}*/ /* Error */
@@ -580,9 +580,9 @@ ppl_io_get_variable_output_function(ppl_io_variable_output_function_type** pp);
*/
char*
ppl_io_wrap_string(const char* src,
- unsigned indent_depth,
- unsigned preferred_first_line_length,
- unsigned preferred_line_length);
+ unsigned indent_depth,
+ unsigned preferred_first_line_length,
+ unsigned preferred_line_length);
/*@}*/ /* Datatypes */
@@ -885,7 +885,7 @@ ppl_new_Coefficient_from_mpz_t PPL_PROTO((ppl_Coefficient_t* pc, mpz_t z));
*/
int
ppl_new_Coefficient_from_Coefficient PPL_PROTO((ppl_Coefficient_t* pc,
- ppl_const_Coefficient_t c));
+ ppl_const_Coefficient_t c));
/*! \relates ppl_Coefficient_tag \brief
Assign to \p dst the value given by the GMP integer \p z.
@@ -1048,8 +1048,8 @@ PPL_PROTO((ppl_const_Linear_Expression_t le, ppl_dimension_type* m));
*/
int
ppl_Linear_Expression_coefficient PPL_PROTO((ppl_const_Linear_Expression_t le,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Linear_Expression_tag \brief
Copies into \p n the inhomogeneous term of linear expression \p le.
@@ -1093,8 +1093,8 @@ PPL_PROTO((ppl_const_Linear_Expression_t le));
int
ppl_Linear_Expression_add_to_coefficient
PPL_PROTO((ppl_Linear_Expression_t le,
- ppl_dimension_type var,
- ppl_const_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_const_Coefficient_t n));
/*! \relates ppl_Linear_Expression_tag \brief
Adds \p n to the inhomogeneous term of the linear expression \p le.
@@ -1154,8 +1154,8 @@ enum ppl_enum_Constraint_Type {
*/
int
ppl_new_Constraint PPL_PROTO((ppl_Constraint_t* pc,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Constraint_Type rel));
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Constraint_Type rel));
/*! \relates ppl_Constraint_tag \brief
Creates the unsatisfiable (zero-dimension space) constraint \f$0 = 1\f$
@@ -1178,14 +1178,14 @@ ppl_new_Constraint_zero_dim_positivity PPL_PROTO((ppl_Constraint_t* pc));
*/
int
ppl_new_Constraint_from_Constraint PPL_PROTO((ppl_Constraint_t* pc,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*! \relates ppl_Constraint_tag \brief
Assigns a copy of the constraint \p src to \p dst.
*/
int
ppl_assign_Constraint_from_Constraint PPL_PROTO((ppl_Constraint_t dst,
- ppl_const_Constraint_t src));
+ ppl_const_Constraint_t src));
/*! \relates ppl_Constraint_tag \brief
Invalidates the handle \p c: this makes sure the corresponding
@@ -1204,7 +1204,7 @@ ppl_delete_Constraint PPL_PROTO((ppl_const_Constraint_t c));
*/
int
ppl_Constraint_space_dimension PPL_PROTO((ppl_const_Constraint_t c,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Constraint_tag \brief
Returns the type of constraint \p c.
@@ -1218,15 +1218,15 @@ ppl_Constraint_type PPL_PROTO((ppl_const_Constraint_t c));
*/
int
ppl_Constraint_coefficient PPL_PROTO((ppl_const_Constraint_t c,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Constraint_tag \brief
Copies into \p n the inhomogeneous term of constraint \p c.
*/
int
ppl_Constraint_inhomogeneous_term PPL_PROTO((ppl_const_Constraint_t c,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Constraint_tag \brief
Returns a positive integer if \p c is well formed, i.e., if it
@@ -1325,7 +1325,7 @@ PPL_PROTO((ppl_const_Constraint_System_t cs));
int
ppl_Constraint_System_begin
PPL_PROTO((ppl_const_Constraint_System_t cs,
- ppl_Constraint_System_const_iterator_t cit));
+ ppl_Constraint_System_const_iterator_t cit));
/*! \relates ppl_Constraint_System_tag \brief
Assigns to \p cit a const iterator "pointing" past the end of the
@@ -1334,7 +1334,7 @@ PPL_PROTO((ppl_const_Constraint_System_t cs,
int
ppl_Constraint_System_end
PPL_PROTO((ppl_const_Constraint_System_t cs,
- ppl_Constraint_System_const_iterator_t cit));
+ ppl_Constraint_System_const_iterator_t cit));
/*! \relates ppl_Constraint_System_tag \brief
Returns a positive integer if \p cs is well formed, i.e., if it
@@ -1362,7 +1362,7 @@ ppl_Constraint_System_clear PPL_PROTO((ppl_Constraint_System_t cs));
*/
int
ppl_Constraint_System_insert_Constraint PPL_PROTO((ppl_Constraint_System_t cs,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*@}*/ /* Functions that May Modify the Constraint System */
@@ -1387,7 +1387,7 @@ PPL_PROTO((ppl_Constraint_System_const_iterator_t* pcit));
int
ppl_new_Constraint_System_const_iterator_from_Constraint_System_const_iterator
PPL_PROTO((ppl_Constraint_System_const_iterator_t* pcit,
- ppl_const_Constraint_System_const_iterator_t cit));
+ ppl_const_Constraint_System_const_iterator_t cit));
/*! \relates ppl_Constraint_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -1395,7 +1395,7 @@ PPL_PROTO((ppl_Constraint_System_const_iterator_t* pcit,
int
ppl_assign_Constraint_System_const_iterator_from_Constraint_System_const_iterator
PPL_PROTO((ppl_Constraint_System_const_iterator_t dst,
- ppl_const_Constraint_System_const_iterator_t src));
+ ppl_const_Constraint_System_const_iterator_t src));
/*! \relates ppl_Constraint_System_const_iterator_tag \brief
Invalidates the handle \p cit: this makes sure the corresponding
@@ -1417,7 +1417,7 @@ PPL_PROTO((ppl_const_Constraint_System_const_iterator_t cit));
int
ppl_Constraint_System_const_iterator_dereference
PPL_PROTO((ppl_const_Constraint_System_const_iterator_t cit,
- ppl_const_Constraint_t* pc));
+ ppl_const_Constraint_t* pc));
/*! \relates ppl_Constraint_System_const_iterator_tag \brief
Increment \p cit so that it "points" to the next constraint.
@@ -1433,7 +1433,7 @@ PPL_PROTO((ppl_Constraint_System_const_iterator_t cit));
int
ppl_Constraint_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Constraint_System_const_iterator_t x,
- ppl_const_Constraint_System_const_iterator_t y));
+ ppl_const_Constraint_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -1465,9 +1465,9 @@ enum ppl_enum_Generator_Type {
*/
int
ppl_new_Generator PPL_PROTO((ppl_Generator_t* pg,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Generator_Type t,
- ppl_const_Coefficient_t d));
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Generator_Type t,
+ ppl_const_Coefficient_t d));
/*! \relates ppl_Generator_tag \brief
Creates the point that is the origin of the zero-dimensional space
@@ -1491,14 +1491,14 @@ ppl_new_Generator_zero_dim_closure_point PPL_PROTO((ppl_Generator_t* pg));
*/
int
ppl_new_Generator_from_Generator PPL_PROTO((ppl_Generator_t* pg,
- ppl_const_Generator_t g));
+ ppl_const_Generator_t g));
/*! \relates ppl_Generator_tag \brief
Assigns a copy of the generator \p src to \p dst.
*/
int
ppl_assign_Generator_from_Generator PPL_PROTO((ppl_Generator_t dst,
- ppl_const_Generator_t src));
+ ppl_const_Generator_t src));
/*! \relates ppl_Generator_tag \brief
Invalidates the handle \p g: this makes sure the corresponding
@@ -1517,7 +1517,7 @@ ppl_delete_Generator PPL_PROTO((ppl_const_Generator_t g));
*/
int
ppl_Generator_space_dimension PPL_PROTO((ppl_const_Generator_t g,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Generator_tag \brief
Returns the type of generator \p g.
@@ -1530,15 +1530,15 @@ ppl_Generator_type PPL_PROTO((ppl_const_Generator_t g));
*/
int
ppl_Generator_coefficient PPL_PROTO((ppl_const_Generator_t g,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Generator_tag \brief
If \p g is a point or a closure point assigns its divisor to \p n.
*/
int
ppl_Generator_divisor PPL_PROTO((ppl_const_Generator_t g,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Generator_tag \brief
Returns a positive integer if \p g is well formed, i.e., if it
@@ -1579,7 +1579,7 @@ PPL_PROTO((ppl_Generator_System_t* pgs));
*/
int
ppl_new_Generator_System_from_Generator PPL_PROTO((ppl_Generator_System_t* pgs,
- ppl_const_Generator_t g));
+ ppl_const_Generator_t g));
/*! \relates ppl_Generator_System_tag \brief
Builds a generator system that is a copy of \p gs; writes a handle
@@ -1630,7 +1630,7 @@ PPL_PROTO((ppl_const_Generator_System_t gs));
int
ppl_Generator_System_begin
PPL_PROTO((ppl_const_Generator_System_t gs,
- ppl_Generator_System_const_iterator_t git));
+ ppl_Generator_System_const_iterator_t git));
/*! \relates ppl_Generator_System_tag \brief
Assigns to \p git a const iterator "pointing" past the end of the
@@ -1639,7 +1639,7 @@ PPL_PROTO((ppl_const_Generator_System_t gs,
int
ppl_Generator_System_end
PPL_PROTO((ppl_const_Generator_System_t gs,
- ppl_Generator_System_const_iterator_t git));
+ ppl_Generator_System_const_iterator_t git));
/*! \relates ppl_Generator_System_tag \brief
Returns a positive integer if \p gs is well formed, i.e., if it
@@ -1667,7 +1667,7 @@ ppl_Generator_System_clear PPL_PROTO((ppl_Generator_System_t gs));
*/
int
ppl_Generator_System_insert_Generator PPL_PROTO((ppl_Generator_System_t gs,
- ppl_const_Generator_t g));
+ ppl_const_Generator_t g));
/*@}*/ /* Functions that May Modify the Generator System */
@@ -1692,7 +1692,7 @@ PPL_PROTO((ppl_Generator_System_const_iterator_t* pgit));
int
ppl_new_Generator_System_const_iterator_from_Generator_System_const_iterator
PPL_PROTO((ppl_Generator_System_const_iterator_t* pgit,
- ppl_const_Generator_System_const_iterator_t git));
+ ppl_const_Generator_System_const_iterator_t git));
/*! \relates ppl_Generator_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -1700,7 +1700,7 @@ PPL_PROTO((ppl_Generator_System_const_iterator_t* pgit,
int
ppl_assign_Generator_System_const_iterator_from_Generator_System_const_iterator
PPL_PROTO((ppl_Generator_System_const_iterator_t dst,
- ppl_const_Generator_System_const_iterator_t src));
+ ppl_const_Generator_System_const_iterator_t src));
/*! \relates ppl_Generator_System_const_iterator_tag \brief
Invalidates the handle \p git: this makes sure the corresponding
@@ -1722,7 +1722,7 @@ PPL_PROTO((ppl_const_Generator_System_const_iterator_t git));
int
ppl_Generator_System_const_iterator_dereference
PPL_PROTO((ppl_const_Generator_System_const_iterator_t git,
- ppl_const_Generator_t* pg));
+ ppl_const_Generator_t* pg));
/*! \relates ppl_Generator_System_const_iterator_tag \brief
Increment \p git so that it "points" to the next generator.
@@ -1738,7 +1738,7 @@ PPL_PROTO((ppl_Generator_System_const_iterator_t git));
int
ppl_Generator_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Generator_System_const_iterator_t x,
- ppl_const_Generator_System_const_iterator_t y));
+ ppl_const_Generator_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -1753,8 +1753,8 @@ PPL_PROTO((ppl_const_Generator_System_const_iterator_t x,
*/
int
ppl_new_Congruence PPL_PROTO((ppl_Congruence_t* pc,
- ppl_const_Linear_Expression_t le,
- ppl_const_Coefficient_t m));
+ ppl_const_Linear_Expression_t le,
+ ppl_const_Coefficient_t m));
/*! \relates ppl_Congruence_tag \brief
Creates the unsatisfiable (zero-dimension space) congruence
@@ -1777,14 +1777,14 @@ ppl_new_Congruence_zero_dim_integrality PPL_PROTO((ppl_Congruence_t* pc));
*/
int
ppl_new_Congruence_from_Congruence PPL_PROTO((ppl_Congruence_t* pc,
- ppl_const_Congruence_t c));
+ ppl_const_Congruence_t c));
/*! \relates ppl_Congruence_tag \brief
Assigns a copy of the congruence \p src to \p dst.
*/
int
ppl_assign_Congruence_from_Congruence PPL_PROTO((ppl_Congruence_t dst,
- ppl_const_Congruence_t src));
+ ppl_const_Congruence_t src));
/*! \relates ppl_Congruence_tag \brief
Invalidates the handle \p c: this makes sure the corresponding
@@ -1803,7 +1803,7 @@ ppl_delete_Congruence PPL_PROTO((ppl_const_Congruence_t c));
*/
int
ppl_Congruence_space_dimension PPL_PROTO((ppl_const_Congruence_t c,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Congruence_tag \brief
Copies into \p n the coefficient of variable \p var in
@@ -1811,22 +1811,22 @@ ppl_Congruence_space_dimension PPL_PROTO((ppl_const_Congruence_t c,
*/
int
ppl_Congruence_coefficient PPL_PROTO((ppl_const_Congruence_t c,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Congruence_tag \brief
Copies into \p n the inhomogeneous term of congruence \p c.
*/
int
ppl_Congruence_inhomogeneous_term PPL_PROTO((ppl_const_Congruence_t c,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Congruence_tag \brief
Copies into \p m the modulus of congruence \p c.
*/
int
ppl_Congruence_modulus PPL_PROTO((ppl_const_Congruence_t c,
- ppl_Coefficient_t m));
+ ppl_Coefficient_t m));
/*! \relates ppl_Congruence_tag \brief
Returns a positive integer if \p c is well formed, i.e., if it
@@ -1917,7 +1917,7 @@ PPL_PROTO((ppl_const_Congruence_System_t cs));
int
ppl_Congruence_System_begin
PPL_PROTO((ppl_const_Congruence_System_t cs,
- ppl_Congruence_System_const_iterator_t cit));
+ ppl_Congruence_System_const_iterator_t cit));
/*! \relates ppl_Congruence_System_tag \brief
Assigns to \p cit a const iterator "pointing" past the end of the
@@ -1926,7 +1926,7 @@ PPL_PROTO((ppl_const_Congruence_System_t cs,
int
ppl_Congruence_System_end
PPL_PROTO((ppl_const_Congruence_System_t cs,
- ppl_Congruence_System_const_iterator_t cit));
+ ppl_Congruence_System_const_iterator_t cit));
/*! \relates ppl_Congruence_System_tag \brief
Returns a positive integer if \p cs is well formed, i.e., if it
@@ -1954,7 +1954,7 @@ ppl_Congruence_System_clear PPL_PROTO((ppl_Congruence_System_t cs));
*/
int
ppl_Congruence_System_insert_Congruence PPL_PROTO((ppl_Congruence_System_t cs,
- ppl_const_Congruence_t c));
+ ppl_const_Congruence_t c));
/*@}*/ /* Functions that May Modify the Congruence System */
@@ -1979,7 +1979,7 @@ PPL_PROTO((ppl_Congruence_System_const_iterator_t* pcit));
int
ppl_new_Congruence_System_const_iterator_from_Congruence_System_const_iterator
PPL_PROTO((ppl_Congruence_System_const_iterator_t* pcit,
- ppl_const_Congruence_System_const_iterator_t cit));
+ ppl_const_Congruence_System_const_iterator_t cit));
/*! \relates ppl_Congruence_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -1987,7 +1987,7 @@ PPL_PROTO((ppl_Congruence_System_const_iterator_t* pcit,
int
ppl_assign_Congruence_System_const_iterator_from_Congruence_System_const_iterator
PPL_PROTO((ppl_Congruence_System_const_iterator_t dst,
- ppl_const_Congruence_System_const_iterator_t src));
+ ppl_const_Congruence_System_const_iterator_t src));
/*! \relates ppl_Congruence_System_const_iterator_tag \brief
Invalidates the handle \p cit: this makes sure the corresponding
@@ -2009,7 +2009,7 @@ PPL_PROTO((ppl_const_Congruence_System_const_iterator_t cit));
int
ppl_Congruence_System_const_iterator_dereference
PPL_PROTO((ppl_const_Congruence_System_const_iterator_t cit,
- ppl_const_Congruence_t* pc));
+ ppl_const_Congruence_t* pc));
/*! \relates ppl_Congruence_System_const_iterator_tag \brief
Increment \p cit so that it "points" to the next congruence.
@@ -2025,7 +2025,7 @@ PPL_PROTO((ppl_Congruence_System_const_iterator_t cit));
int
ppl_Congruence_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Congruence_System_const_iterator_t x,
- ppl_const_Congruence_System_const_iterator_t y));
+ ppl_const_Congruence_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -2055,9 +2055,9 @@ enum ppl_enum_Grid_Generator_Type {
*/
int
ppl_new_Grid_Generator PPL_PROTO((ppl_Grid_Generator_t* pg,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Grid_Generator_Type t,
- ppl_const_Coefficient_t d));
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Grid_Generator_Type t,
+ ppl_const_Coefficient_t d));
/*! \relates ppl_Grid_Generator_tag \brief
Creates the point that is the origin of the zero-dimensional space
@@ -2081,7 +2081,7 @@ PPL_PROTO((ppl_Grid_Generator_t* pg, ppl_const_Grid_Generator_t g));
int
ppl_assign_Grid_Generator_from_Grid_Generator
PPL_PROTO((ppl_Grid_Generator_t dst,
- ppl_const_Grid_Generator_t src));
+ ppl_const_Grid_Generator_t src));
/*! \relates ppl_Grid_Generator_tag \brief
Invalidates the handle \p g: this makes sure the corresponding
@@ -2100,7 +2100,7 @@ ppl_delete_Grid_Generator PPL_PROTO((ppl_const_Grid_Generator_t g));
*/
int
ppl_Grid_Generator_space_dimension PPL_PROTO((ppl_const_Grid_Generator_t g,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Grid_Generator_tag \brief
Returns the type of grid generator \p g.
@@ -2114,15 +2114,15 @@ ppl_Grid_Generator_type PPL_PROTO((ppl_const_Grid_Generator_t g));
*/
int
ppl_Grid_Generator_coefficient PPL_PROTO((ppl_const_Grid_Generator_t g,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Grid_Generator_tag \brief
If \p g is a point or a parameter assigns its divisor to \p n.
*/
int
ppl_Grid_Generator_divisor PPL_PROTO((ppl_const_Grid_Generator_t g,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Grid_Generator_tag \brief
Returns a positive integer if \p g is well formed, i.e., if it
@@ -2164,7 +2164,7 @@ PPL_PROTO((ppl_Grid_Generator_System_t* pgs));
int
ppl_new_Grid_Generator_System_from_Grid_Generator
PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
- ppl_const_Grid_Generator_t g));
+ ppl_const_Grid_Generator_t g));
/*! \relates ppl_Grid_Generator_System_tag \brief
Builds a grid generator system that is a copy of \p gs; writes a handle
@@ -2173,7 +2173,7 @@ PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
int
ppl_new_Grid_Generator_System_from_Grid_Generator_System
PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
- ppl_const_Grid_Generator_System_t gs));
+ ppl_const_Grid_Generator_System_t gs));
/*! \relates ppl_Grid_Generator_System_tag \brief
Assigns a copy of the grid generator system \p src to \p dst.
@@ -2181,7 +2181,7 @@ PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
int
ppl_assign_Grid_Generator_System_from_Grid_Generator_System
PPL_PROTO((ppl_Grid_Generator_System_t dst,
- ppl_const_Grid_Generator_System_t src));
+ ppl_const_Grid_Generator_System_t src));
/*! \relates ppl_Grid_Generator_System_tag \brief
Invalidates the handle \p gs: this makes sure the corresponding
@@ -2218,7 +2218,7 @@ PPL_PROTO((ppl_const_Grid_Generator_System_t gs));
int
ppl_Grid_Generator_System_begin
PPL_PROTO((ppl_const_Grid_Generator_System_t gs,
- ppl_Grid_Generator_System_const_iterator_t git));
+ ppl_Grid_Generator_System_const_iterator_t git));
/*! \relates ppl_Grid_Generator_System_tag \brief
Assigns to \p git a const iterator "pointing" past the end of the
@@ -2227,7 +2227,7 @@ PPL_PROTO((ppl_const_Grid_Generator_System_t gs,
int
ppl_Grid_Generator_System_end
PPL_PROTO((ppl_const_Grid_Generator_System_t gs,
- ppl_Grid_Generator_System_const_iterator_t git));
+ ppl_Grid_Generator_System_const_iterator_t git));
/*! \relates ppl_Grid_Generator_System_tag \brief
Returns a positive integer if \p gs is well formed, i.e., if it
@@ -2256,7 +2256,7 @@ ppl_Grid_Generator_System_clear PPL_PROTO((ppl_Grid_Generator_System_t gs));
int
ppl_Grid_Generator_System_insert_Grid_Generator
PPL_PROTO((ppl_Grid_Generator_System_t gs,
- ppl_const_Grid_Generator_t g));
+ ppl_const_Grid_Generator_t g));
/*@}*/ /* Functions that May Modify the Grid Generator System */
@@ -2281,7 +2281,7 @@ PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t* pgit));
int
ppl_new_Grid_Generator_System_const_iterator_from_Grid_Generator_System_const_iterator
PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t* pgit,
- ppl_const_Grid_Generator_System_const_iterator_t git));
+ ppl_const_Grid_Generator_System_const_iterator_t git));
/*! \relates ppl_Grid_Generator_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -2289,7 +2289,7 @@ PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t* pgit,
int
ppl_assign_Grid_Generator_System_const_iterator_from_Grid_Generator_System_const_iterator
PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t dst,
- ppl_const_Grid_Generator_System_const_iterator_t src));
+ ppl_const_Grid_Generator_System_const_iterator_t src));
/*! \relates ppl_Grid_Generator_System_const_iterator_tag \brief
Invalidates the handle \p git: this makes sure the corresponding
@@ -2311,7 +2311,7 @@ PPL_PROTO((ppl_const_Grid_Generator_System_const_iterator_t git));
int
ppl_Grid_Generator_System_const_iterator_dereference
PPL_PROTO((ppl_const_Grid_Generator_System_const_iterator_t git,
- ppl_const_Grid_Generator_t* pg));
+ ppl_const_Grid_Generator_t* pg));
/*! \relates ppl_Grid_Generator_System_const_iterator_tag \brief
Increment \p git so that it "points" to the next grid generator.
@@ -2327,7 +2327,7 @@ PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t git));
int
ppl_Grid_Generator_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Grid_Generator_System_const_iterator_t x,
- ppl_const_Grid_Generator_System_const_iterator_t y));
+ ppl_const_Grid_Generator_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -2552,7 +2552,7 @@ extern int PPL_PIP_PROBLEM_CONTROL_PARAMETER_PIVOT_ROW_STRATEGY_MAX_COLUMN;
*/
int
ppl_new_MIP_Problem_from_space_dimension PPL_PROTO((ppl_MIP_Problem_t* pmip,
- ppl_dimension_type d));
+ ppl_dimension_type d));
/*! \relates ppl_MIP_Problem_tag \brief
Builds a MIP problem of space dimension \p d having feasible region \p cs,
@@ -2561,10 +2561,10 @@ ppl_new_MIP_Problem_from_space_dimension PPL_PROTO((ppl_MIP_Problem_t* pmip,
*/
int
ppl_new_MIP_Problem PPL_PROTO((ppl_MIP_Problem_t* pmip,
- ppl_dimension_type d,
- ppl_const_Constraint_System_t cs,
- ppl_const_Linear_Expression_t le,
- int m));
+ ppl_dimension_type d,
+ ppl_const_Constraint_System_t cs,
+ ppl_const_Linear_Expression_t le,
+ int m));
/*! \relates ppl_MIP_Problem_tag \brief
Builds a MIP problem that is a copy of \p mip; writes a handle
@@ -2622,7 +2622,7 @@ PPL_PROTO((ppl_const_MIP_Problem_t mip, ppl_dimension_type ds[]));
*/
int
ppl_MIP_Problem_number_of_constraints PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_MIP_Problem_tag \brief
Writes at address \p pc a const handle to the \p i-th constraint
@@ -2630,8 +2630,8 @@ ppl_MIP_Problem_number_of_constraints PPL_PROTO((ppl_const_MIP_Problem_t mip,
*/
int
ppl_MIP_Problem_constraint_at_index PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_dimension_type i,
- ppl_const_Constraint_t* pc));
+ ppl_dimension_type i,
+ ppl_const_Constraint_t* pc));
/*! \relates ppl_MIP_Problem_tag \brief
Writes a const handle to the linear expression defining the
@@ -2689,7 +2689,7 @@ PPL_PROTO((ppl_MIP_Problem_t mip, ppl_dimension_type ds[], size_t n));
*/
int
ppl_MIP_Problem_add_constraint PPL_PROTO((ppl_MIP_Problem_t mip,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*! \relates ppl_MIP_Problem_tag \brief
Modifies the feasible region of the MIP problem \p mip by adding a copy
@@ -2697,7 +2697,7 @@ ppl_MIP_Problem_add_constraint PPL_PROTO((ppl_MIP_Problem_t mip,
*/
int
ppl_MIP_Problem_add_constraints PPL_PROTO((ppl_MIP_Problem_t mip,
- ppl_const_Constraint_System_t cs));
+ ppl_const_Constraint_System_t cs));
/*! \relates ppl_MIP_Problem_tag \brief
Sets the objective function of the MIP problem \p mip to a copy of \p le.
@@ -2711,7 +2711,7 @@ PPL_PROTO((ppl_MIP_Problem_t mip, ppl_const_Linear_Expression_t le));
*/
int
ppl_MIP_Problem_set_optimization_mode PPL_PROTO((ppl_MIP_Problem_t mip,
- int mode));
+ int mode));
/*@}*/ /* Functions that May Modify the MIP_Problem */
@@ -2757,7 +2757,7 @@ ppl_MIP_Problem_solve PPL_PROTO((ppl_const_MIP_Problem_t mip));
int
ppl_MIP_Problem_evaluate_objective_function
PPL_PROTO((ppl_const_MIP_Problem_t mip, ppl_const_Generator_t g,
- ppl_Coefficient_t num, ppl_Coefficient_t den));
+ ppl_Coefficient_t num, ppl_Coefficient_t den));
/*! \relates ppl_MIP_Problem_tag \brief
Writes a const handle to a feasible point for the MIP problem \p mip
@@ -2765,7 +2765,7 @@ PPL_PROTO((ppl_const_MIP_Problem_t mip, ppl_const_Generator_t g,
*/
int
ppl_MIP_Problem_feasible_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t* pg));
+ ppl_const_Generator_t* pg));
/*! \relates ppl_MIP_Problem_tag \brief
Writes a const handle to an optimizing point for the MIP problem \p mip
@@ -2773,7 +2773,7 @@ ppl_MIP_Problem_feasible_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
*/
int
ppl_MIP_Problem_optimizing_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t* pg));
+ ppl_const_Generator_t* pg));
/*! \relates ppl_MIP_Problem_tag \brief
Returns the optimal value for \p mip.
@@ -2790,7 +2790,7 @@ ppl_MIP_Problem_optimizing_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
int
ppl_MIP_Problem_optimal_value
PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_Coefficient_t num, ppl_Coefficient_t den));
+ ppl_Coefficient_t num, ppl_Coefficient_t den));
/*@}*/ /* Computing the Solution of the MIP_Problem */
@@ -2837,7 +2837,7 @@ PPL_PROTO((ppl_const_MIP_Problem_t mip, size_t* sz));
*/
int
ppl_new_PIP_Problem_from_space_dimension PPL_PROTO((ppl_PIP_Problem_t* ppip,
- ppl_dimension_type d));
+ ppl_dimension_type d));
/*! \relates ppl_PIP_Problem_tag \brief
Builds a PIP problem that is a copy of \p pip; writes a handle
@@ -2921,7 +2921,7 @@ PPL_PROTO((ppl_const_PIP_Problem_t pip, ppl_dimension_type* pd));
*/
int
ppl_PIP_Problem_number_of_constraints PPL_PROTO((ppl_const_PIP_Problem_t pip,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_PIP_Problem_tag \brief
Writes at address \p pc a const handle to the \p i-th constraint
@@ -2929,8 +2929,8 @@ ppl_PIP_Problem_number_of_constraints PPL_PROTO((ppl_const_PIP_Problem_t pip,
*/
int
ppl_PIP_Problem_constraint_at_index PPL_PROTO((ppl_const_PIP_Problem_t pip,
- ppl_dimension_type i,
- ppl_const_Constraint_t* pc));
+ ppl_dimension_type i,
+ ppl_const_Constraint_t* pc));
/*! \relates ppl_PIP_Problem_tag \brief
Writes into \p *sz the size in bytes of the memory occupied by \p pip.
@@ -3013,7 +3013,7 @@ PPL_PROTO((ppl_PIP_Problem_t pip, ppl_dimension_type d));
*/
int
ppl_PIP_Problem_add_constraint PPL_PROTO((ppl_PIP_Problem_t pip,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*! \relates ppl_PIP_Problem_tag \brief
Modifies the feasible region of the PIP problem \p pip by adding a copy
@@ -3021,7 +3021,7 @@ ppl_PIP_Problem_add_constraint PPL_PROTO((ppl_PIP_Problem_t pip,
*/
int
ppl_PIP_Problem_add_constraints PPL_PROTO((ppl_PIP_Problem_t pip,
- ppl_const_Constraint_System_t cs));
+ ppl_const_Constraint_System_t cs));
/*@}*/ /* Functions that May Modify the PIP_Problem */
@@ -3235,7 +3235,7 @@ PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t* papit));
int
ppl_new_Artificial_Parameter_Sequence_const_iterator_from_Artificial_Parameter_Sequence_const_iterator
PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t* papit,
- ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit));
+ ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit));
/*! \relates ppl_Artificial_Parameter_Sequence_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -3243,7 +3243,7 @@ PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t* papit,
int
ppl_assign_Artificial_Parameter_Sequence_const_iterator_from_Artificial_Parameter_Sequence_const_iterator
PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t dst,
- ppl_const_Artificial_Parameter_Sequence_const_iterator_t src));
+ ppl_const_Artificial_Parameter_Sequence_const_iterator_t src));
/*! \relates ppl_Artificial_Parameter_Sequence_const_iterator_tag \brief
Invalidates the handle \p apit: this makes sure the corresponding
@@ -3265,7 +3265,7 @@ PPL_PROTO((ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit));
int
ppl_Artificial_Parameter_Sequence_const_iterator_dereference
PPL_PROTO((ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit,
- ppl_const_Artificial_Parameter_t* pap));
+ ppl_const_Artificial_Parameter_t* pap));
/*! \relates ppl_Artificial_Parameter_Sequence_const_iterator_tag \brief
Increment \p apit so that it "points" to the next artificial parameter.
@@ -3281,7 +3281,7 @@ PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t apit));
int
ppl_Artificial_Parameter_Sequence_const_iterator_equal_test
PPL_PROTO((ppl_const_Artificial_Parameter_Sequence_const_iterator_t x,
- ppl_const_Artificial_Parameter_Sequence_const_iterator_t y));
+ ppl_const_Artificial_Parameter_Sequence_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
diff --git a/interfaces/C/ppl_c_header.h b/interfaces/C/ppl_c_header.h
index 9c95f3f..71ba536 100644
--- a/interfaces/C/ppl_c_header.h
+++ b/interfaces/C/ppl_c_header.h
@@ -1,6 +1,6 @@
/* This is the header file of the C interface of the Parma Polyhedra Library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -354,7 +354,7 @@ enum ppl_enum_error_code {
*/
int
ppl_set_error_handler PPL_PROTO((void (*h)(enum ppl_enum_error_code code,
- const char* description)));
+ const char* description)));
/*@}*/ /* Error */
@@ -537,9 +537,9 @@ ppl_io_get_variable_output_function(ppl_io_variable_output_function_type** pp);
*/
char*
ppl_io_wrap_string(const char* src,
- unsigned indent_depth,
- unsigned preferred_first_line_length,
- unsigned preferred_line_length);
+ unsigned indent_depth,
+ unsigned preferred_first_line_length,
+ unsigned preferred_line_length);
/*@}*/ /* Datatypes */
@@ -842,7 +842,7 @@ ppl_new_Coefficient_from_mpz_t PPL_PROTO((ppl_Coefficient_t* pc, mpz_t z));
*/
int
ppl_new_Coefficient_from_Coefficient PPL_PROTO((ppl_Coefficient_t* pc,
- ppl_const_Coefficient_t c));
+ ppl_const_Coefficient_t c));
/*! \relates ppl_Coefficient_tag \brief
Assign to \p dst the value given by the GMP integer \p z.
@@ -1005,8 +1005,8 @@ PPL_PROTO((ppl_const_Linear_Expression_t le, ppl_dimension_type* m));
*/
int
ppl_Linear_Expression_coefficient PPL_PROTO((ppl_const_Linear_Expression_t le,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Linear_Expression_tag \brief
Copies into \p n the inhomogeneous term of linear expression \p le.
@@ -1050,8 +1050,8 @@ PPL_PROTO((ppl_const_Linear_Expression_t le));
int
ppl_Linear_Expression_add_to_coefficient
PPL_PROTO((ppl_Linear_Expression_t le,
- ppl_dimension_type var,
- ppl_const_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_const_Coefficient_t n));
/*! \relates ppl_Linear_Expression_tag \brief
Adds \p n to the inhomogeneous term of the linear expression \p le.
@@ -1111,8 +1111,8 @@ enum ppl_enum_Constraint_Type {
*/
int
ppl_new_Constraint PPL_PROTO((ppl_Constraint_t* pc,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Constraint_Type rel));
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Constraint_Type rel));
/*! \relates ppl_Constraint_tag \brief
Creates the unsatisfiable (zero-dimension space) constraint \f$0 = 1\f$
@@ -1135,14 +1135,14 @@ ppl_new_Constraint_zero_dim_positivity PPL_PROTO((ppl_Constraint_t* pc));
*/
int
ppl_new_Constraint_from_Constraint PPL_PROTO((ppl_Constraint_t* pc,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*! \relates ppl_Constraint_tag \brief
Assigns a copy of the constraint \p src to \p dst.
*/
int
ppl_assign_Constraint_from_Constraint PPL_PROTO((ppl_Constraint_t dst,
- ppl_const_Constraint_t src));
+ ppl_const_Constraint_t src));
/*! \relates ppl_Constraint_tag \brief
Invalidates the handle \p c: this makes sure the corresponding
@@ -1161,7 +1161,7 @@ ppl_delete_Constraint PPL_PROTO((ppl_const_Constraint_t c));
*/
int
ppl_Constraint_space_dimension PPL_PROTO((ppl_const_Constraint_t c,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Constraint_tag \brief
Returns the type of constraint \p c.
@@ -1175,15 +1175,15 @@ ppl_Constraint_type PPL_PROTO((ppl_const_Constraint_t c));
*/
int
ppl_Constraint_coefficient PPL_PROTO((ppl_const_Constraint_t c,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Constraint_tag \brief
Copies into \p n the inhomogeneous term of constraint \p c.
*/
int
ppl_Constraint_inhomogeneous_term PPL_PROTO((ppl_const_Constraint_t c,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Constraint_tag \brief
Returns a positive integer if \p c is well formed, i.e., if it
@@ -1282,7 +1282,7 @@ PPL_PROTO((ppl_const_Constraint_System_t cs));
int
ppl_Constraint_System_begin
PPL_PROTO((ppl_const_Constraint_System_t cs,
- ppl_Constraint_System_const_iterator_t cit));
+ ppl_Constraint_System_const_iterator_t cit));
/*! \relates ppl_Constraint_System_tag \brief
Assigns to \p cit a const iterator "pointing" past the end of the
@@ -1291,7 +1291,7 @@ PPL_PROTO((ppl_const_Constraint_System_t cs,
int
ppl_Constraint_System_end
PPL_PROTO((ppl_const_Constraint_System_t cs,
- ppl_Constraint_System_const_iterator_t cit));
+ ppl_Constraint_System_const_iterator_t cit));
/*! \relates ppl_Constraint_System_tag \brief
Returns a positive integer if \p cs is well formed, i.e., if it
@@ -1319,7 +1319,7 @@ ppl_Constraint_System_clear PPL_PROTO((ppl_Constraint_System_t cs));
*/
int
ppl_Constraint_System_insert_Constraint PPL_PROTO((ppl_Constraint_System_t cs,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*@}*/ /* Functions that May Modify the Constraint System */
@@ -1344,7 +1344,7 @@ PPL_PROTO((ppl_Constraint_System_const_iterator_t* pcit));
int
ppl_new_Constraint_System_const_iterator_from_Constraint_System_const_iterator
PPL_PROTO((ppl_Constraint_System_const_iterator_t* pcit,
- ppl_const_Constraint_System_const_iterator_t cit));
+ ppl_const_Constraint_System_const_iterator_t cit));
/*! \relates ppl_Constraint_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -1352,7 +1352,7 @@ PPL_PROTO((ppl_Constraint_System_const_iterator_t* pcit,
int
ppl_assign_Constraint_System_const_iterator_from_Constraint_System_const_iterator
PPL_PROTO((ppl_Constraint_System_const_iterator_t dst,
- ppl_const_Constraint_System_const_iterator_t src));
+ ppl_const_Constraint_System_const_iterator_t src));
/*! \relates ppl_Constraint_System_const_iterator_tag \brief
Invalidates the handle \p cit: this makes sure the corresponding
@@ -1374,7 +1374,7 @@ PPL_PROTO((ppl_const_Constraint_System_const_iterator_t cit));
int
ppl_Constraint_System_const_iterator_dereference
PPL_PROTO((ppl_const_Constraint_System_const_iterator_t cit,
- ppl_const_Constraint_t* pc));
+ ppl_const_Constraint_t* pc));
/*! \relates ppl_Constraint_System_const_iterator_tag \brief
Increment \p cit so that it "points" to the next constraint.
@@ -1390,7 +1390,7 @@ PPL_PROTO((ppl_Constraint_System_const_iterator_t cit));
int
ppl_Constraint_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Constraint_System_const_iterator_t x,
- ppl_const_Constraint_System_const_iterator_t y));
+ ppl_const_Constraint_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -1422,9 +1422,9 @@ enum ppl_enum_Generator_Type {
*/
int
ppl_new_Generator PPL_PROTO((ppl_Generator_t* pg,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Generator_Type t,
- ppl_const_Coefficient_t d));
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Generator_Type t,
+ ppl_const_Coefficient_t d));
/*! \relates ppl_Generator_tag \brief
Creates the point that is the origin of the zero-dimensional space
@@ -1448,14 +1448,14 @@ ppl_new_Generator_zero_dim_closure_point PPL_PROTO((ppl_Generator_t* pg));
*/
int
ppl_new_Generator_from_Generator PPL_PROTO((ppl_Generator_t* pg,
- ppl_const_Generator_t g));
+ ppl_const_Generator_t g));
/*! \relates ppl_Generator_tag \brief
Assigns a copy of the generator \p src to \p dst.
*/
int
ppl_assign_Generator_from_Generator PPL_PROTO((ppl_Generator_t dst,
- ppl_const_Generator_t src));
+ ppl_const_Generator_t src));
/*! \relates ppl_Generator_tag \brief
Invalidates the handle \p g: this makes sure the corresponding
@@ -1474,7 +1474,7 @@ ppl_delete_Generator PPL_PROTO((ppl_const_Generator_t g));
*/
int
ppl_Generator_space_dimension PPL_PROTO((ppl_const_Generator_t g,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Generator_tag \brief
Returns the type of generator \p g.
@@ -1487,15 +1487,15 @@ ppl_Generator_type PPL_PROTO((ppl_const_Generator_t g));
*/
int
ppl_Generator_coefficient PPL_PROTO((ppl_const_Generator_t g,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Generator_tag \brief
If \p g is a point or a closure point assigns its divisor to \p n.
*/
int
ppl_Generator_divisor PPL_PROTO((ppl_const_Generator_t g,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Generator_tag \brief
Returns a positive integer if \p g is well formed, i.e., if it
@@ -1536,7 +1536,7 @@ PPL_PROTO((ppl_Generator_System_t* pgs));
*/
int
ppl_new_Generator_System_from_Generator PPL_PROTO((ppl_Generator_System_t* pgs,
- ppl_const_Generator_t g));
+ ppl_const_Generator_t g));
/*! \relates ppl_Generator_System_tag \brief
Builds a generator system that is a copy of \p gs; writes a handle
@@ -1587,7 +1587,7 @@ PPL_PROTO((ppl_const_Generator_System_t gs));
int
ppl_Generator_System_begin
PPL_PROTO((ppl_const_Generator_System_t gs,
- ppl_Generator_System_const_iterator_t git));
+ ppl_Generator_System_const_iterator_t git));
/*! \relates ppl_Generator_System_tag \brief
Assigns to \p git a const iterator "pointing" past the end of the
@@ -1596,7 +1596,7 @@ PPL_PROTO((ppl_const_Generator_System_t gs,
int
ppl_Generator_System_end
PPL_PROTO((ppl_const_Generator_System_t gs,
- ppl_Generator_System_const_iterator_t git));
+ ppl_Generator_System_const_iterator_t git));
/*! \relates ppl_Generator_System_tag \brief
Returns a positive integer if \p gs is well formed, i.e., if it
@@ -1624,7 +1624,7 @@ ppl_Generator_System_clear PPL_PROTO((ppl_Generator_System_t gs));
*/
int
ppl_Generator_System_insert_Generator PPL_PROTO((ppl_Generator_System_t gs,
- ppl_const_Generator_t g));
+ ppl_const_Generator_t g));
/*@}*/ /* Functions that May Modify the Generator System */
@@ -1649,7 +1649,7 @@ PPL_PROTO((ppl_Generator_System_const_iterator_t* pgit));
int
ppl_new_Generator_System_const_iterator_from_Generator_System_const_iterator
PPL_PROTO((ppl_Generator_System_const_iterator_t* pgit,
- ppl_const_Generator_System_const_iterator_t git));
+ ppl_const_Generator_System_const_iterator_t git));
/*! \relates ppl_Generator_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -1657,7 +1657,7 @@ PPL_PROTO((ppl_Generator_System_const_iterator_t* pgit,
int
ppl_assign_Generator_System_const_iterator_from_Generator_System_const_iterator
PPL_PROTO((ppl_Generator_System_const_iterator_t dst,
- ppl_const_Generator_System_const_iterator_t src));
+ ppl_const_Generator_System_const_iterator_t src));
/*! \relates ppl_Generator_System_const_iterator_tag \brief
Invalidates the handle \p git: this makes sure the corresponding
@@ -1679,7 +1679,7 @@ PPL_PROTO((ppl_const_Generator_System_const_iterator_t git));
int
ppl_Generator_System_const_iterator_dereference
PPL_PROTO((ppl_const_Generator_System_const_iterator_t git,
- ppl_const_Generator_t* pg));
+ ppl_const_Generator_t* pg));
/*! \relates ppl_Generator_System_const_iterator_tag \brief
Increment \p git so that it "points" to the next generator.
@@ -1695,7 +1695,7 @@ PPL_PROTO((ppl_Generator_System_const_iterator_t git));
int
ppl_Generator_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Generator_System_const_iterator_t x,
- ppl_const_Generator_System_const_iterator_t y));
+ ppl_const_Generator_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -1710,8 +1710,8 @@ PPL_PROTO((ppl_const_Generator_System_const_iterator_t x,
*/
int
ppl_new_Congruence PPL_PROTO((ppl_Congruence_t* pc,
- ppl_const_Linear_Expression_t le,
- ppl_const_Coefficient_t m));
+ ppl_const_Linear_Expression_t le,
+ ppl_const_Coefficient_t m));
/*! \relates ppl_Congruence_tag \brief
Creates the unsatisfiable (zero-dimension space) congruence
@@ -1734,14 +1734,14 @@ ppl_new_Congruence_zero_dim_integrality PPL_PROTO((ppl_Congruence_t* pc));
*/
int
ppl_new_Congruence_from_Congruence PPL_PROTO((ppl_Congruence_t* pc,
- ppl_const_Congruence_t c));
+ ppl_const_Congruence_t c));
/*! \relates ppl_Congruence_tag \brief
Assigns a copy of the congruence \p src to \p dst.
*/
int
ppl_assign_Congruence_from_Congruence PPL_PROTO((ppl_Congruence_t dst,
- ppl_const_Congruence_t src));
+ ppl_const_Congruence_t src));
/*! \relates ppl_Congruence_tag \brief
Invalidates the handle \p c: this makes sure the corresponding
@@ -1760,7 +1760,7 @@ ppl_delete_Congruence PPL_PROTO((ppl_const_Congruence_t c));
*/
int
ppl_Congruence_space_dimension PPL_PROTO((ppl_const_Congruence_t c,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Congruence_tag \brief
Copies into \p n the coefficient of variable \p var in
@@ -1768,22 +1768,22 @@ ppl_Congruence_space_dimension PPL_PROTO((ppl_const_Congruence_t c,
*/
int
ppl_Congruence_coefficient PPL_PROTO((ppl_const_Congruence_t c,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Congruence_tag \brief
Copies into \p n the inhomogeneous term of congruence \p c.
*/
int
ppl_Congruence_inhomogeneous_term PPL_PROTO((ppl_const_Congruence_t c,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Congruence_tag \brief
Copies into \p m the modulus of congruence \p c.
*/
int
ppl_Congruence_modulus PPL_PROTO((ppl_const_Congruence_t c,
- ppl_Coefficient_t m));
+ ppl_Coefficient_t m));
/*! \relates ppl_Congruence_tag \brief
Returns a positive integer if \p c is well formed, i.e., if it
@@ -1874,7 +1874,7 @@ PPL_PROTO((ppl_const_Congruence_System_t cs));
int
ppl_Congruence_System_begin
PPL_PROTO((ppl_const_Congruence_System_t cs,
- ppl_Congruence_System_const_iterator_t cit));
+ ppl_Congruence_System_const_iterator_t cit));
/*! \relates ppl_Congruence_System_tag \brief
Assigns to \p cit a const iterator "pointing" past the end of the
@@ -1883,7 +1883,7 @@ PPL_PROTO((ppl_const_Congruence_System_t cs,
int
ppl_Congruence_System_end
PPL_PROTO((ppl_const_Congruence_System_t cs,
- ppl_Congruence_System_const_iterator_t cit));
+ ppl_Congruence_System_const_iterator_t cit));
/*! \relates ppl_Congruence_System_tag \brief
Returns a positive integer if \p cs is well formed, i.e., if it
@@ -1911,7 +1911,7 @@ ppl_Congruence_System_clear PPL_PROTO((ppl_Congruence_System_t cs));
*/
int
ppl_Congruence_System_insert_Congruence PPL_PROTO((ppl_Congruence_System_t cs,
- ppl_const_Congruence_t c));
+ ppl_const_Congruence_t c));
/*@}*/ /* Functions that May Modify the Congruence System */
@@ -1936,7 +1936,7 @@ PPL_PROTO((ppl_Congruence_System_const_iterator_t* pcit));
int
ppl_new_Congruence_System_const_iterator_from_Congruence_System_const_iterator
PPL_PROTO((ppl_Congruence_System_const_iterator_t* pcit,
- ppl_const_Congruence_System_const_iterator_t cit));
+ ppl_const_Congruence_System_const_iterator_t cit));
/*! \relates ppl_Congruence_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -1944,7 +1944,7 @@ PPL_PROTO((ppl_Congruence_System_const_iterator_t* pcit,
int
ppl_assign_Congruence_System_const_iterator_from_Congruence_System_const_iterator
PPL_PROTO((ppl_Congruence_System_const_iterator_t dst,
- ppl_const_Congruence_System_const_iterator_t src));
+ ppl_const_Congruence_System_const_iterator_t src));
/*! \relates ppl_Congruence_System_const_iterator_tag \brief
Invalidates the handle \p cit: this makes sure the corresponding
@@ -1966,7 +1966,7 @@ PPL_PROTO((ppl_const_Congruence_System_const_iterator_t cit));
int
ppl_Congruence_System_const_iterator_dereference
PPL_PROTO((ppl_const_Congruence_System_const_iterator_t cit,
- ppl_const_Congruence_t* pc));
+ ppl_const_Congruence_t* pc));
/*! \relates ppl_Congruence_System_const_iterator_tag \brief
Increment \p cit so that it "points" to the next congruence.
@@ -1982,7 +1982,7 @@ PPL_PROTO((ppl_Congruence_System_const_iterator_t cit));
int
ppl_Congruence_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Congruence_System_const_iterator_t x,
- ppl_const_Congruence_System_const_iterator_t y));
+ ppl_const_Congruence_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -2012,9 +2012,9 @@ enum ppl_enum_Grid_Generator_Type {
*/
int
ppl_new_Grid_Generator PPL_PROTO((ppl_Grid_Generator_t* pg,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Grid_Generator_Type t,
- ppl_const_Coefficient_t d));
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Grid_Generator_Type t,
+ ppl_const_Coefficient_t d));
/*! \relates ppl_Grid_Generator_tag \brief
Creates the point that is the origin of the zero-dimensional space
@@ -2038,7 +2038,7 @@ PPL_PROTO((ppl_Grid_Generator_t* pg, ppl_const_Grid_Generator_t g));
int
ppl_assign_Grid_Generator_from_Grid_Generator
PPL_PROTO((ppl_Grid_Generator_t dst,
- ppl_const_Grid_Generator_t src));
+ ppl_const_Grid_Generator_t src));
/*! \relates ppl_Grid_Generator_tag \brief
Invalidates the handle \p g: this makes sure the corresponding
@@ -2057,7 +2057,7 @@ ppl_delete_Grid_Generator PPL_PROTO((ppl_const_Grid_Generator_t g));
*/
int
ppl_Grid_Generator_space_dimension PPL_PROTO((ppl_const_Grid_Generator_t g,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_Grid_Generator_tag \brief
Returns the type of grid generator \p g.
@@ -2071,15 +2071,15 @@ ppl_Grid_Generator_type PPL_PROTO((ppl_const_Grid_Generator_t g));
*/
int
ppl_Grid_Generator_coefficient PPL_PROTO((ppl_const_Grid_Generator_t g,
- ppl_dimension_type var,
- ppl_Coefficient_t n));
+ ppl_dimension_type var,
+ ppl_Coefficient_t n));
/*! \relates ppl_Grid_Generator_tag \brief
If \p g is a point or a parameter assigns its divisor to \p n.
*/
int
ppl_Grid_Generator_divisor PPL_PROTO((ppl_const_Grid_Generator_t g,
- ppl_Coefficient_t n));
+ ppl_Coefficient_t n));
/*! \relates ppl_Grid_Generator_tag \brief
Returns a positive integer if \p g is well formed, i.e., if it
@@ -2121,7 +2121,7 @@ PPL_PROTO((ppl_Grid_Generator_System_t* pgs));
int
ppl_new_Grid_Generator_System_from_Grid_Generator
PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
- ppl_const_Grid_Generator_t g));
+ ppl_const_Grid_Generator_t g));
/*! \relates ppl_Grid_Generator_System_tag \brief
Builds a grid generator system that is a copy of \p gs; writes a handle
@@ -2130,7 +2130,7 @@ PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
int
ppl_new_Grid_Generator_System_from_Grid_Generator_System
PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
- ppl_const_Grid_Generator_System_t gs));
+ ppl_const_Grid_Generator_System_t gs));
/*! \relates ppl_Grid_Generator_System_tag \brief
Assigns a copy of the grid generator system \p src to \p dst.
@@ -2138,7 +2138,7 @@ PPL_PROTO((ppl_Grid_Generator_System_t* pgs,
int
ppl_assign_Grid_Generator_System_from_Grid_Generator_System
PPL_PROTO((ppl_Grid_Generator_System_t dst,
- ppl_const_Grid_Generator_System_t src));
+ ppl_const_Grid_Generator_System_t src));
/*! \relates ppl_Grid_Generator_System_tag \brief
Invalidates the handle \p gs: this makes sure the corresponding
@@ -2175,7 +2175,7 @@ PPL_PROTO((ppl_const_Grid_Generator_System_t gs));
int
ppl_Grid_Generator_System_begin
PPL_PROTO((ppl_const_Grid_Generator_System_t gs,
- ppl_Grid_Generator_System_const_iterator_t git));
+ ppl_Grid_Generator_System_const_iterator_t git));
/*! \relates ppl_Grid_Generator_System_tag \brief
Assigns to \p git a const iterator "pointing" past the end of the
@@ -2184,7 +2184,7 @@ PPL_PROTO((ppl_const_Grid_Generator_System_t gs,
int
ppl_Grid_Generator_System_end
PPL_PROTO((ppl_const_Grid_Generator_System_t gs,
- ppl_Grid_Generator_System_const_iterator_t git));
+ ppl_Grid_Generator_System_const_iterator_t git));
/*! \relates ppl_Grid_Generator_System_tag \brief
Returns a positive integer if \p gs is well formed, i.e., if it
@@ -2213,7 +2213,7 @@ ppl_Grid_Generator_System_clear PPL_PROTO((ppl_Grid_Generator_System_t gs));
int
ppl_Grid_Generator_System_insert_Grid_Generator
PPL_PROTO((ppl_Grid_Generator_System_t gs,
- ppl_const_Grid_Generator_t g));
+ ppl_const_Grid_Generator_t g));
/*@}*/ /* Functions that May Modify the Grid Generator System */
@@ -2238,7 +2238,7 @@ PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t* pgit));
int
ppl_new_Grid_Generator_System_const_iterator_from_Grid_Generator_System_const_iterator
PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t* pgit,
- ppl_const_Grid_Generator_System_const_iterator_t git));
+ ppl_const_Grid_Generator_System_const_iterator_t git));
/*! \relates ppl_Grid_Generator_System_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -2246,7 +2246,7 @@ PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t* pgit,
int
ppl_assign_Grid_Generator_System_const_iterator_from_Grid_Generator_System_const_iterator
PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t dst,
- ppl_const_Grid_Generator_System_const_iterator_t src));
+ ppl_const_Grid_Generator_System_const_iterator_t src));
/*! \relates ppl_Grid_Generator_System_const_iterator_tag \brief
Invalidates the handle \p git: this makes sure the corresponding
@@ -2268,7 +2268,7 @@ PPL_PROTO((ppl_const_Grid_Generator_System_const_iterator_t git));
int
ppl_Grid_Generator_System_const_iterator_dereference
PPL_PROTO((ppl_const_Grid_Generator_System_const_iterator_t git,
- ppl_const_Grid_Generator_t* pg));
+ ppl_const_Grid_Generator_t* pg));
/*! \relates ppl_Grid_Generator_System_const_iterator_tag \brief
Increment \p git so that it "points" to the next grid generator.
@@ -2284,7 +2284,7 @@ PPL_PROTO((ppl_Grid_Generator_System_const_iterator_t git));
int
ppl_Grid_Generator_System_const_iterator_equal_test
PPL_PROTO((ppl_const_Grid_Generator_System_const_iterator_t x,
- ppl_const_Grid_Generator_System_const_iterator_t y));
+ ppl_const_Grid_Generator_System_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
@@ -2509,7 +2509,7 @@ extern int PPL_PIP_PROBLEM_CONTROL_PARAMETER_PIVOT_ROW_STRATEGY_MAX_COLUMN;
*/
int
ppl_new_MIP_Problem_from_space_dimension PPL_PROTO((ppl_MIP_Problem_t* pmip,
- ppl_dimension_type d));
+ ppl_dimension_type d));
/*! \relates ppl_MIP_Problem_tag \brief
Builds a MIP problem of space dimension \p d having feasible region \p cs,
@@ -2518,10 +2518,10 @@ ppl_new_MIP_Problem_from_space_dimension PPL_PROTO((ppl_MIP_Problem_t* pmip,
*/
int
ppl_new_MIP_Problem PPL_PROTO((ppl_MIP_Problem_t* pmip,
- ppl_dimension_type d,
- ppl_const_Constraint_System_t cs,
- ppl_const_Linear_Expression_t le,
- int m));
+ ppl_dimension_type d,
+ ppl_const_Constraint_System_t cs,
+ ppl_const_Linear_Expression_t le,
+ int m));
/*! \relates ppl_MIP_Problem_tag \brief
Builds a MIP problem that is a copy of \p mip; writes a handle
@@ -2579,7 +2579,7 @@ PPL_PROTO((ppl_const_MIP_Problem_t mip, ppl_dimension_type ds[]));
*/
int
ppl_MIP_Problem_number_of_constraints PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_MIP_Problem_tag \brief
Writes at address \p pc a const handle to the \p i-th constraint
@@ -2587,8 +2587,8 @@ ppl_MIP_Problem_number_of_constraints PPL_PROTO((ppl_const_MIP_Problem_t mip,
*/
int
ppl_MIP_Problem_constraint_at_index PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_dimension_type i,
- ppl_const_Constraint_t* pc));
+ ppl_dimension_type i,
+ ppl_const_Constraint_t* pc));
/*! \relates ppl_MIP_Problem_tag \brief
Writes a const handle to the linear expression defining the
@@ -2646,7 +2646,7 @@ PPL_PROTO((ppl_MIP_Problem_t mip, ppl_dimension_type ds[], size_t n));
*/
int
ppl_MIP_Problem_add_constraint PPL_PROTO((ppl_MIP_Problem_t mip,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*! \relates ppl_MIP_Problem_tag \brief
Modifies the feasible region of the MIP problem \p mip by adding a copy
@@ -2654,7 +2654,7 @@ ppl_MIP_Problem_add_constraint PPL_PROTO((ppl_MIP_Problem_t mip,
*/
int
ppl_MIP_Problem_add_constraints PPL_PROTO((ppl_MIP_Problem_t mip,
- ppl_const_Constraint_System_t cs));
+ ppl_const_Constraint_System_t cs));
/*! \relates ppl_MIP_Problem_tag \brief
Sets the objective function of the MIP problem \p mip to a copy of \p le.
@@ -2668,7 +2668,7 @@ PPL_PROTO((ppl_MIP_Problem_t mip, ppl_const_Linear_Expression_t le));
*/
int
ppl_MIP_Problem_set_optimization_mode PPL_PROTO((ppl_MIP_Problem_t mip,
- int mode));
+ int mode));
/*@}*/ /* Functions that May Modify the MIP_Problem */
@@ -2714,7 +2714,7 @@ ppl_MIP_Problem_solve PPL_PROTO((ppl_const_MIP_Problem_t mip));
int
ppl_MIP_Problem_evaluate_objective_function
PPL_PROTO((ppl_const_MIP_Problem_t mip, ppl_const_Generator_t g,
- ppl_Coefficient_t num, ppl_Coefficient_t den));
+ ppl_Coefficient_t num, ppl_Coefficient_t den));
/*! \relates ppl_MIP_Problem_tag \brief
Writes a const handle to a feasible point for the MIP problem \p mip
@@ -2722,7 +2722,7 @@ PPL_PROTO((ppl_const_MIP_Problem_t mip, ppl_const_Generator_t g,
*/
int
ppl_MIP_Problem_feasible_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t* pg));
+ ppl_const_Generator_t* pg));
/*! \relates ppl_MIP_Problem_tag \brief
Writes a const handle to an optimizing point for the MIP problem \p mip
@@ -2730,7 +2730,7 @@ ppl_MIP_Problem_feasible_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
*/
int
ppl_MIP_Problem_optimizing_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t* pg));
+ ppl_const_Generator_t* pg));
/*! \relates ppl_MIP_Problem_tag \brief
Returns the optimal value for \p mip.
@@ -2747,7 +2747,7 @@ ppl_MIP_Problem_optimizing_point PPL_PROTO((ppl_const_MIP_Problem_t mip,
int
ppl_MIP_Problem_optimal_value
PPL_PROTO((ppl_const_MIP_Problem_t mip,
- ppl_Coefficient_t num, ppl_Coefficient_t den));
+ ppl_Coefficient_t num, ppl_Coefficient_t den));
/*@}*/ /* Computing the Solution of the MIP_Problem */
@@ -2794,7 +2794,7 @@ PPL_PROTO((ppl_const_MIP_Problem_t mip, size_t* sz));
*/
int
ppl_new_PIP_Problem_from_space_dimension PPL_PROTO((ppl_PIP_Problem_t* ppip,
- ppl_dimension_type d));
+ ppl_dimension_type d));
/*! \relates ppl_PIP_Problem_tag \brief
Builds a PIP problem that is a copy of \p pip; writes a handle
@@ -2878,7 +2878,7 @@ PPL_PROTO((ppl_const_PIP_Problem_t pip, ppl_dimension_type* pd));
*/
int
ppl_PIP_Problem_number_of_constraints PPL_PROTO((ppl_const_PIP_Problem_t pip,
- ppl_dimension_type* m));
+ ppl_dimension_type* m));
/*! \relates ppl_PIP_Problem_tag \brief
Writes at address \p pc a const handle to the \p i-th constraint
@@ -2886,8 +2886,8 @@ ppl_PIP_Problem_number_of_constraints PPL_PROTO((ppl_const_PIP_Problem_t pip,
*/
int
ppl_PIP_Problem_constraint_at_index PPL_PROTO((ppl_const_PIP_Problem_t pip,
- ppl_dimension_type i,
- ppl_const_Constraint_t* pc));
+ ppl_dimension_type i,
+ ppl_const_Constraint_t* pc));
/*! \relates ppl_PIP_Problem_tag \brief
Writes into \p *sz the size in bytes of the memory occupied by \p pip.
@@ -2970,7 +2970,7 @@ PPL_PROTO((ppl_PIP_Problem_t pip, ppl_dimension_type d));
*/
int
ppl_PIP_Problem_add_constraint PPL_PROTO((ppl_PIP_Problem_t pip,
- ppl_const_Constraint_t c));
+ ppl_const_Constraint_t c));
/*! \relates ppl_PIP_Problem_tag \brief
Modifies the feasible region of the PIP problem \p pip by adding a copy
@@ -2978,7 +2978,7 @@ ppl_PIP_Problem_add_constraint PPL_PROTO((ppl_PIP_Problem_t pip,
*/
int
ppl_PIP_Problem_add_constraints PPL_PROTO((ppl_PIP_Problem_t pip,
- ppl_const_Constraint_System_t cs));
+ ppl_const_Constraint_System_t cs));
/*@}*/ /* Functions that May Modify the PIP_Problem */
@@ -3192,7 +3192,7 @@ PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t* papit));
int
ppl_new_Artificial_Parameter_Sequence_const_iterator_from_Artificial_Parameter_Sequence_const_iterator
PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t* papit,
- ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit));
+ ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit));
/*! \relates ppl_Artificial_Parameter_Sequence_const_iterator_tag \brief
Assigns a copy of the const iterator \p src to \p dst.
@@ -3200,7 +3200,7 @@ PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t* papit,
int
ppl_assign_Artificial_Parameter_Sequence_const_iterator_from_Artificial_Parameter_Sequence_const_iterator
PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t dst,
- ppl_const_Artificial_Parameter_Sequence_const_iterator_t src));
+ ppl_const_Artificial_Parameter_Sequence_const_iterator_t src));
/*! \relates ppl_Artificial_Parameter_Sequence_const_iterator_tag \brief
Invalidates the handle \p apit: this makes sure the corresponding
@@ -3222,7 +3222,7 @@ PPL_PROTO((ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit));
int
ppl_Artificial_Parameter_Sequence_const_iterator_dereference
PPL_PROTO((ppl_const_Artificial_Parameter_Sequence_const_iterator_t apit,
- ppl_const_Artificial_Parameter_t* pap));
+ ppl_const_Artificial_Parameter_t* pap));
/*! \relates ppl_Artificial_Parameter_Sequence_const_iterator_tag \brief
Increment \p apit so that it "points" to the next artificial parameter.
@@ -3238,7 +3238,7 @@ PPL_PROTO((ppl_Artificial_Parameter_Sequence_const_iterator_t apit));
int
ppl_Artificial_Parameter_Sequence_const_iterator_equal_test
PPL_PROTO((ppl_const_Artificial_Parameter_Sequence_const_iterator_t x,
- ppl_const_Artificial_Parameter_Sequence_const_iterator_t y));
+ ppl_const_Artificial_Parameter_Sequence_const_iterator_t y));
/*@}*/ /* Dereferencing, Incrementing and Equality Testing */
diff --git a/interfaces/C/ppl_c_implementation_common.cc b/interfaces/C/ppl_c_implementation_common.cc
index b884410..85b027a 100644
--- a/interfaces/C/ppl_c_implementation_common.cc
+++ b/interfaces/C/ppl_c_implementation_common.cc
@@ -1,6 +1,6 @@
/* Implementation of the C interface: variables and non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,7 +23,7 @@ site: http://bugseng.com/products/ppl/ . */
/* Interface for Coefficient. */
-#include "ppl_c_implementation_common.defs.hh"
+#include "ppl_c_implementation_common_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -378,7 +378,7 @@ CATCH_ALL
int
ppl_new_Coefficient_from_Coefficient(ppl_Coefficient_t* pc,
- ppl_const_Coefficient_t c) try {
+ ppl_const_Coefficient_t c) try {
const Coefficient& cc = *to_const(c);
*pc = to_nonconst(new Coefficient(cc));
return 0;
@@ -409,7 +409,7 @@ CATCH_ALL
int
ppl_assign_Coefficient_from_Coefficient(ppl_Coefficient_t dst,
- ppl_const_Coefficient_t src) try {
+ ppl_const_Coefficient_t src) try {
const Coefficient& ssrc = *to_const(src);
Coefficient& ddst = *to_nonconst(dst);
ddst = ssrc;
@@ -433,8 +433,8 @@ int
ppl_Coefficient_min(mpz_t min) try {
if (std::numeric_limits<Coefficient>::is_bounded) {
assign_r(reinterpret_mpz_class(min),
- std::numeric_limits<Coefficient>::min(),
- ROUND_NOT_NEEDED);
+ std::numeric_limits<Coefficient>::min(),
+ ROUND_NOT_NEEDED);
return 1;
}
else
@@ -446,8 +446,8 @@ int
ppl_Coefficient_max(mpz_t max) try {
if (std::numeric_limits<Coefficient>::is_bounded) {
assign_r(reinterpret_mpz_class(max),
- std::numeric_limits<Coefficient>::max(),
- ROUND_NOT_NEEDED);
+ std::numeric_limits<Coefficient>::max(),
+ ROUND_NOT_NEEDED);
return 1;
}
else
@@ -466,10 +466,10 @@ CATCH_ALL
int
ppl_new_Linear_Expression_with_dimension(ppl_Linear_Expression_t* ple,
- ppl_dimension_type d) try {
+ ppl_dimension_type d) try {
*ple = to_nonconst(d == 0
- ? new Linear_Expression(0)
- : new Linear_Expression(0*Variable(d-1)));
+ ? new Linear_Expression(0)
+ : new Linear_Expression(0*Variable(d-1)));
return 0;
}
CATCH_ALL
@@ -502,8 +502,8 @@ CATCH_ALL
int
ppl_Linear_Expression_add_to_coefficient(ppl_Linear_Expression_t le,
- ppl_dimension_type var,
- ppl_const_Coefficient_t n) try {
+ ppl_dimension_type var,
+ ppl_const_Coefficient_t n) try {
Linear_Expression& lle = *to_nonconst(le);
const Coefficient& nn = *to_const(n);
add_mul_assign(lle, nn, Variable(var));
@@ -513,7 +513,7 @@ CATCH_ALL
int
ppl_Linear_Expression_add_to_inhomogeneous(ppl_Linear_Expression_t le,
- ppl_const_Coefficient_t n) try {
+ ppl_const_Coefficient_t n) try {
Linear_Expression& lle = *to_nonconst(le);
const Coefficient& nn = *to_const(n);
lle += nn;
@@ -543,7 +543,7 @@ CATCH_ALL
int
ppl_multiply_Linear_Expression_by_Coefficient(ppl_Linear_Expression_t le,
- ppl_const_Coefficient_t n) try {
+ ppl_const_Coefficient_t n) try {
Linear_Expression& lle = *to_nonconst(le);
const Coefficient& nn = *to_const(n);
lle *= nn;
@@ -553,7 +553,7 @@ CATCH_ALL
int
ppl_Linear_Expression_space_dimension(ppl_const_Linear_Expression_t le,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(le)->space_dimension();
return 0;
}
@@ -561,8 +561,8 @@ CATCH_ALL
int
ppl_Linear_Expression_coefficient(ppl_const_Linear_Expression_t le,
- ppl_dimension_type var,
- ppl_Coefficient_t n) try {
+ ppl_dimension_type var,
+ ppl_Coefficient_t n) try {
const Linear_Expression& lle = *to_const(le);
Coefficient& nn = *to_nonconst(n);
nn = lle.coefficient(Variable(var));
@@ -572,7 +572,7 @@ CATCH_ALL
int
ppl_Linear_Expression_inhomogeneous_term(ppl_const_Linear_Expression_t le,
- ppl_Coefficient_t n) try {
+ ppl_Coefficient_t n) try {
const Linear_Expression& lle = *to_const(le);
Coefficient& nn = *to_nonconst(n);
nn = lle.inhomogeneous_term();
@@ -603,8 +603,8 @@ CATCH_ALL
int
ppl_new_Constraint(ppl_Constraint_t* pc,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Constraint_Type t) try {
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Constraint_Type t) try {
Constraint* ppc;
const Linear_Expression& lle = *to_const(le);
switch (t) {
@@ -625,7 +625,7 @@ ppl_new_Constraint(ppl_Constraint_t* pc,
break;
default:
throw std::invalid_argument("ppl_new_Constraint(pc, le, t): "
- "t invalid");
+ "t invalid");
}
*pc = to_nonconst(ppc);
return 0;
@@ -648,7 +648,7 @@ CATCH_ALL
int
ppl_new_Constraint_from_Constraint(ppl_Constraint_t* pc,
- ppl_const_Constraint_t c) try {
+ ppl_const_Constraint_t c) try {
const Constraint& cc = *to_const(c);
*pc = to_nonconst(new Constraint(cc));
return 0;
@@ -664,7 +664,7 @@ CATCH_ALL
int
ppl_assign_Constraint_from_Constraint(ppl_Constraint_t dst,
- ppl_const_Constraint_t src) try {
+ ppl_const_Constraint_t src) try {
const Constraint& ssrc = *to_const(src);
Constraint& ddst = *to_nonconst(dst);
ddst = ssrc;
@@ -674,7 +674,7 @@ CATCH_ALL
int
ppl_Constraint_space_dimension(ppl_const_Constraint_t c,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(c)->space_dimension();
return 0;
}
@@ -696,8 +696,8 @@ CATCH_ALL
int
ppl_Constraint_coefficient(ppl_const_Constraint_t c,
- ppl_dimension_type var,
- ppl_Coefficient_t n) try {
+ ppl_dimension_type var,
+ ppl_Coefficient_t n) try {
const Constraint& cc = *to_const(c);
Coefficient& nn = *to_nonconst(n);
nn = cc.coefficient(Variable(var));
@@ -707,7 +707,7 @@ CATCH_ALL
int
ppl_Constraint_inhomogeneous_term(ppl_const_Constraint_t c,
- ppl_Coefficient_t n) try {
+ ppl_Coefficient_t n) try {
const Constraint& cc = *to_const(c);
Coefficient& nn = *to_nonconst(n);
nn = cc.inhomogeneous_term();
@@ -723,9 +723,9 @@ CATCH_ALL
int
ppl_new_Linear_Expression_from_Constraint(ppl_Linear_Expression_t* ple,
- ppl_const_Constraint_t c) try {
+ ppl_const_Constraint_t c) try {
const Constraint& cc = *to_const(c);
- *ple = to_nonconst(new Linear_Expression(cc));
+ *ple = to_nonconst(new Linear_Expression(cc.expression()));
return 0;
}
CATCH_ALL
@@ -742,7 +742,7 @@ CATCH_ALL
int
ppl_new_Constraint_System_zero_dim_empty(ppl_Constraint_System_t* pcs) try {
*pcs = to_nonconst(new
- Constraint_System(Constraint_System::zero_dim_empty()));
+ Constraint_System(Constraint_System::zero_dim_empty()));
return 0;
}
CATCH_ALL
@@ -750,7 +750,7 @@ CATCH_ALL
int
ppl_new_Constraint_System_from_Constraint(ppl_Constraint_System_t* pcs,
- ppl_const_Constraint_t c) try {
+ ppl_const_Constraint_t c) try {
const Constraint& cc = *to_const(c);
*pcs = to_nonconst(new Constraint_System(cc));
return 0;
@@ -785,7 +785,7 @@ CATCH_ALL
int
ppl_Constraint_System_space_dimension(ppl_const_Constraint_System_t cs,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(cs)->space_dimension();
return 0;
}
@@ -816,7 +816,7 @@ CATCH_ALL
int
ppl_Constraint_System_insert_Constraint(ppl_Constraint_System_t cs,
- ppl_const_Constraint_t c) try {
+ ppl_const_Constraint_t c) try {
const Constraint& cc = *to_const(c);
Constraint_System& ccs = *to_nonconst(cs);
ccs.insert(cc);
@@ -871,7 +871,7 @@ CATCH_ALL
int
ppl_Constraint_System_begin(ppl_const_Constraint_System_t cs,
- ppl_Constraint_System_const_iterator_t cit) try {
+ ppl_Constraint_System_const_iterator_t cit) try {
const Constraint_System& ccs = *to_const(cs);
Constraint_System::const_iterator& ccit = *to_nonconst(cit);
ccit = ccs.begin();
@@ -881,7 +881,7 @@ CATCH_ALL
int
ppl_Constraint_System_end(ppl_const_Constraint_System_t cs,
- ppl_Constraint_System_const_iterator_t cit) try {
+ ppl_Constraint_System_const_iterator_t cit) try {
const Constraint_System& ccs = *to_const(cs);
Constraint_System::const_iterator& ccit = *to_nonconst(cit);
ccit = ccs.end();
@@ -923,9 +923,9 @@ CATCH_ALL
int
ppl_new_Generator(ppl_Generator_t* pg,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Generator_Type t,
- ppl_const_Coefficient_t d) try {
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Generator_Type t,
+ ppl_const_Coefficient_t d) try {
Generator* ppg;
const Linear_Expression& lle = *to_const(le);
const Coefficient& dd = *to_const(d);
@@ -966,7 +966,7 @@ CATCH_ALL
int
ppl_new_Generator_from_Generator(ppl_Generator_t* pg,
- ppl_const_Generator_t g) try {
+ ppl_const_Generator_t g) try {
const Generator& gg = *to_const(g);
*pg = to_nonconst(new Generator(gg));
return 0;
@@ -982,7 +982,7 @@ CATCH_ALL
int
ppl_assign_Generator_from_Generator(ppl_Generator_t dst,
- ppl_const_Generator_t src) try {
+ ppl_const_Generator_t src) try {
const Generator& ssrc = *to_const(src);
Generator& ddst = *to_nonconst(dst);
ddst = ssrc;
@@ -992,7 +992,7 @@ CATCH_ALL
int
ppl_Generator_space_dimension(ppl_const_Generator_t g,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(g)->space_dimension();
return 0;
}
@@ -1016,8 +1016,8 @@ CATCH_ALL
int
ppl_Generator_coefficient(ppl_const_Generator_t g,
- ppl_dimension_type var,
- ppl_Coefficient_t n) try {
+ ppl_dimension_type var,
+ ppl_Coefficient_t n) try {
const Generator& gg = *to_const(g);
Coefficient& nn = *to_nonconst(n);
nn = gg.coefficient(Variable(var));
@@ -1027,7 +1027,7 @@ CATCH_ALL
int
ppl_Generator_divisor(ppl_const_Generator_t g,
- ppl_Coefficient_t n) try {
+ ppl_Coefficient_t n) try {
const Generator& gg = *to_const(g);
Coefficient& nn = *to_nonconst(n);
nn = gg.divisor();
@@ -1043,9 +1043,9 @@ CATCH_ALL
int
ppl_new_Linear_Expression_from_Generator(ppl_Linear_Expression_t* ple,
- ppl_const_Generator_t g) try {
+ ppl_const_Generator_t g) try {
const Generator& gg = *to_const(g);
- *ple = to_nonconst(new Linear_Expression(gg));
+ *ple = to_nonconst(new Linear_Expression(gg.expression()));
return 0;
}
CATCH_ALL
@@ -1068,7 +1068,7 @@ CATCH_ALL
int
ppl_new_Generator_System_from_Generator(ppl_Generator_System_t* pgs,
- ppl_const_Generator_t g) try {
+ ppl_const_Generator_t g) try {
const Generator& gg = *to_const(g);
*pgs = to_nonconst(new Generator_System(gg));
return 0;
@@ -1103,7 +1103,7 @@ CATCH_ALL
int
ppl_Generator_System_space_dimension(ppl_const_Generator_System_t gs,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(gs)->space_dimension();
return 0;
}
@@ -1126,7 +1126,7 @@ CATCH_ALL
int
ppl_Generator_System_insert_Generator(ppl_Generator_System_t gs,
- ppl_const_Generator_t g) try {
+ ppl_const_Generator_t g) try {
const Generator& gg = *to_const(g);
Generator_System& ggs = *to_nonconst(gs);
ggs.insert(gg);
@@ -1180,7 +1180,7 @@ CATCH_ALL
int
ppl_Generator_System_begin(ppl_const_Generator_System_t gs,
- ppl_Generator_System_const_iterator_t git) try {
+ ppl_Generator_System_const_iterator_t git) try {
const Generator_System& ggs = *to_const(gs);
Generator_System::const_iterator& ggit = *to_nonconst(git);
ggit = ggs.begin();
@@ -1190,7 +1190,7 @@ CATCH_ALL
int
ppl_Generator_System_end(ppl_const_Generator_System_t gs,
- ppl_Generator_System_const_iterator_t git) try {
+ ppl_Generator_System_const_iterator_t git) try {
const Generator_System& ggs = *to_const(gs);
Generator_System::const_iterator& ggit = *to_nonconst(git);
ggit = ggs.end();
@@ -1232,8 +1232,8 @@ CATCH_ALL
int
ppl_new_Congruence(ppl_Congruence_t* pc,
- ppl_const_Linear_Expression_t le,
- ppl_const_Coefficient_t m) try {
+ ppl_const_Linear_Expression_t le,
+ ppl_const_Coefficient_t m) try {
Congruence* ppc;
const Linear_Expression& lle = *to_const(le);
const Coefficient& mm = *to_const(m);
@@ -1259,7 +1259,7 @@ CATCH_ALL
int
ppl_new_Congruence_from_Congruence(ppl_Congruence_t* pc,
- ppl_const_Congruence_t c) try {
+ ppl_const_Congruence_t c) try {
const Congruence& cc = *to_const(c);
*pc = to_nonconst(new Congruence(cc));
return 0;
@@ -1275,7 +1275,7 @@ CATCH_ALL
int
ppl_assign_Congruence_from_Congruence(ppl_Congruence_t dst,
- ppl_const_Congruence_t src) try {
+ ppl_const_Congruence_t src) try {
const Congruence& ssrc = *to_const(src);
Congruence& ddst = *to_nonconst(dst);
ddst = ssrc;
@@ -1285,7 +1285,7 @@ CATCH_ALL
int
ppl_Congruence_space_dimension(ppl_const_Congruence_t c,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(c)->space_dimension();
return 0;
}
@@ -1293,8 +1293,8 @@ CATCH_ALL
int
ppl_Congruence_coefficient(ppl_const_Congruence_t c,
- ppl_dimension_type var,
- ppl_Coefficient_t n) try {
+ ppl_dimension_type var,
+ ppl_Coefficient_t n) try {
const Congruence& cc = *to_const(c);
Coefficient& nn = *to_nonconst(n);
nn = cc.coefficient(Variable(var));
@@ -1304,7 +1304,7 @@ CATCH_ALL
int
ppl_Congruence_inhomogeneous_term(ppl_const_Congruence_t c,
- ppl_Coefficient_t n) try {
+ ppl_Coefficient_t n) try {
const Congruence& cc = *to_const(c);
Coefficient& nn = *to_nonconst(n);
nn = cc.inhomogeneous_term();
@@ -1314,7 +1314,7 @@ CATCH_ALL
int
ppl_Congruence_modulus(ppl_const_Congruence_t c,
- ppl_Coefficient_t m) try {
+ ppl_Coefficient_t m) try {
const Congruence& cc = *to_const(c);
Coefficient& mm = *to_nonconst(m);
mm = cc.modulus();
@@ -1330,9 +1330,9 @@ CATCH_ALL
int
ppl_new_Linear_Expression_from_Congruence(ppl_Linear_Expression_t* ple,
- ppl_const_Congruence_t c) try {
+ ppl_const_Congruence_t c) try {
const Congruence& cc = *to_const(c);
- *ple = to_nonconst(new Linear_Expression(cc));
+ *ple = to_nonconst(new Linear_Expression(cc.expression()));
return 0;
}
CATCH_ALL
@@ -1349,7 +1349,7 @@ CATCH_ALL
int
ppl_new_Congruence_System_zero_dim_empty(ppl_Congruence_System_t* pcs) try {
*pcs = to_nonconst(new
- Congruence_System(Congruence_System::zero_dim_empty()));
+ Congruence_System(Congruence_System::zero_dim_empty()));
return 0;
}
CATCH_ALL
@@ -1357,7 +1357,7 @@ CATCH_ALL
int
ppl_new_Congruence_System_from_Congruence(ppl_Congruence_System_t* pcs,
- ppl_const_Congruence_t c) try {
+ ppl_const_Congruence_t c) try {
const Congruence& cc = *to_const(c);
*pcs = to_nonconst(new Congruence_System(cc));
return 0;
@@ -1392,7 +1392,7 @@ CATCH_ALL
int
ppl_Congruence_System_space_dimension(ppl_const_Congruence_System_t cs,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(cs)->space_dimension();
return 0;
}
@@ -1415,7 +1415,7 @@ CATCH_ALL
int
ppl_Congruence_System_insert_Congruence(ppl_Congruence_System_t cs,
- ppl_const_Congruence_t c) try {
+ ppl_const_Congruence_t c) try {
const Congruence& cc = *to_const(c);
Congruence_System& ccs = *to_nonconst(cs);
ccs.insert(cc);
@@ -1470,7 +1470,7 @@ CATCH_ALL
int
ppl_Congruence_System_begin(ppl_const_Congruence_System_t cs,
- ppl_Congruence_System_const_iterator_t cit) try {
+ ppl_Congruence_System_const_iterator_t cit) try {
const Congruence_System& ccs = *to_const(cs);
Congruence_System::const_iterator& ccit = *to_nonconst(cit);
ccit = ccs.begin();
@@ -1480,7 +1480,7 @@ CATCH_ALL
int
ppl_Congruence_System_end(ppl_const_Congruence_System_t cs,
- ppl_Congruence_System_const_iterator_t cit) try {
+ ppl_Congruence_System_const_iterator_t cit) try {
const Congruence_System& ccs = *to_const(cs);
Congruence_System::const_iterator& ccit = *to_nonconst(cit);
ccit = ccs.end();
@@ -1522,9 +1522,9 @@ CATCH_ALL
int
ppl_new_Grid_Generator(ppl_Grid_Generator_t* pg,
- ppl_const_Linear_Expression_t le,
- enum ppl_enum_Grid_Generator_Type t,
- ppl_const_Coefficient_t d) try {
+ ppl_const_Linear_Expression_t le,
+ enum ppl_enum_Grid_Generator_Type t,
+ ppl_const_Coefficient_t d) try {
Grid_Generator* ppg;
const Linear_Expression& lle = *to_const(le);
const Coefficient& dd = *to_const(d);
@@ -1540,7 +1540,7 @@ ppl_new_Grid_Generator(ppl_Grid_Generator_t* pg,
break;
default:
throw std::invalid_argument("ppl_new_Grid_Generator(pg, le, t, d): "
- "t invalid");
+ "t invalid");
}
*pg = to_nonconst(ppg);
return 0;
@@ -1556,7 +1556,7 @@ CATCH_ALL
int
ppl_new_Grid_Generator_from_Grid_Generator(ppl_Grid_Generator_t* pg,
- ppl_const_Grid_Generator_t g) try {
+ ppl_const_Grid_Generator_t g) try {
const Grid_Generator& gg = *to_const(g);
*pg = to_nonconst(new Grid_Generator(gg));
return 0;
@@ -1583,7 +1583,7 @@ CATCH_ALL
int
ppl_Grid_Generator_space_dimension(ppl_const_Grid_Generator_t g,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(g)->space_dimension();
return 0;
}
@@ -1605,8 +1605,8 @@ CATCH_ALL
int
ppl_Grid_Generator_coefficient(ppl_const_Grid_Generator_t g,
- ppl_dimension_type var,
- ppl_Coefficient_t n) try {
+ ppl_dimension_type var,
+ ppl_Coefficient_t n) try {
const Grid_Generator& gg = *to_const(g);
Coefficient& nn = *to_nonconst(n);
nn = gg.coefficient(Variable(var));
@@ -1616,7 +1616,7 @@ CATCH_ALL
int
ppl_Grid_Generator_divisor(ppl_const_Grid_Generator_t g,
- ppl_Coefficient_t n) try {
+ ppl_Coefficient_t n) try {
const Grid_Generator& gg = *to_const(g);
Coefficient& nn = *to_nonconst(n);
nn = gg.divisor();
@@ -1696,7 +1696,7 @@ CATCH_ALL
int
ppl_Grid_Generator_System_space_dimension(ppl_const_Grid_Generator_System_t gs,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(gs)->space_dimension();
return 0;
}
@@ -1835,9 +1835,9 @@ CATCH_ALL
int
ppl_new_MIP_Problem(ppl_MIP_Problem_t* pmip,
- ppl_dimension_type d,
- ppl_const_Constraint_System_t cs,
- ppl_const_Linear_Expression_t le, int m) try {
+ ppl_dimension_type d,
+ ppl_const_Constraint_System_t cs,
+ ppl_const_Linear_Expression_t le, int m) try {
const Constraint_System& ccs = *to_const(cs);
const Linear_Expression& lle = *to_const(le);
Optimization_Mode mm = (m == PPL_OPTIMIZATION_MODE_MINIMIZATION)
@@ -1849,7 +1849,7 @@ CATCH_ALL
int
ppl_new_MIP_Problem_from_MIP_Problem(ppl_MIP_Problem_t* pmip,
- ppl_const_MIP_Problem_t mip) try {
+ ppl_const_MIP_Problem_t mip) try {
const MIP_Problem& mmip = *to_const(mip);
*pmip = to_nonconst(new MIP_Problem(mmip));
return 0;
@@ -1865,7 +1865,7 @@ CATCH_ALL
int
ppl_assign_MIP_Problem_from_MIP_Problem(ppl_MIP_Problem_t dst,
- ppl_const_MIP_Problem_t src) try {
+ ppl_const_MIP_Problem_t src) try {
const MIP_Problem& ssrc = *to_const(src);
MIP_Problem& ddst = *to_nonconst(dst);
ddst = ssrc;
@@ -1875,7 +1875,7 @@ CATCH_ALL
int
ppl_MIP_Problem_space_dimension(ppl_const_MIP_Problem_t mip,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(mip)->space_dimension();
return 0;
}
@@ -1883,7 +1883,7 @@ CATCH_ALL
int
ppl_MIP_Problem_number_of_integer_space_dimensions(ppl_const_MIP_Problem_t mip,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
const MIP_Problem& mmip = *to_const(mip);
*m = mmip.integer_space_dimensions().size();
return 0;
@@ -1892,11 +1892,11 @@ CATCH_ALL
int
ppl_MIP_Problem_integer_space_dimensions(ppl_const_MIP_Problem_t mip,
- ppl_dimension_type ds[]) try {
+ ppl_dimension_type ds[]) try {
const Variables_Set& vars = to_const(mip)->integer_space_dimensions();
ppl_dimension_type* ds_i = ds;
for (Variables_Set::const_iterator v_iter = vars.begin(),
- v_end = vars.end(); v_iter != v_end; ++v_iter, ++ds_i)
+ v_end = vars.end(); v_iter != v_end; ++v_iter, ++ds_i)
*ds_i = *v_iter;
return 0;
}
@@ -1904,7 +1904,7 @@ CATCH_ALL
int
ppl_MIP_Problem_number_of_constraints(ppl_const_MIP_Problem_t mip,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
const MIP_Problem& mmip = *to_const(mip);
*m = static_cast<ppl_dimension_type>(mmip.constraints_end() - mmip.constraints_begin());
return 0;
@@ -1913,8 +1913,8 @@ CATCH_ALL
int
ppl_MIP_Problem_constraint_at_index(ppl_const_MIP_Problem_t mip,
- ppl_dimension_type i,
- ppl_const_Constraint_t* pc) try {
+ ppl_dimension_type i,
+ ppl_const_Constraint_t* pc) try {
#ifndef NDEBUG
ppl_dimension_type num_constraints;
ppl_MIP_Problem_number_of_constraints(mip, &num_constraints);
@@ -1929,7 +1929,7 @@ CATCH_ALL
int
ppl_MIP_Problem_objective_function(ppl_const_MIP_Problem_t mip,
- ppl_const_Linear_Expression_t* ple) try {
+ ppl_const_Linear_Expression_t* ple) try {
const Linear_Expression& le = to_const(mip)->objective_function();
*ple = to_const(&le);
return 0;
@@ -1951,7 +1951,7 @@ CATCH_ALL
int
ppl_MIP_Problem_add_space_dimensions_and_embed(ppl_MIP_Problem_t mip,
- ppl_dimension_type d) try {
+ ppl_dimension_type d) try {
MIP_Problem& mmip = *to_nonconst(mip);
mmip.add_space_dimensions_and_embed(d);
return 0;
@@ -1960,8 +1960,8 @@ CATCH_ALL
int
ppl_MIP_Problem_add_to_integer_space_dimensions(ppl_MIP_Problem_t mip,
- ppl_dimension_type ds[],
- size_t n) try {
+ ppl_dimension_type ds[],
+ size_t n) try {
MIP_Problem& mmip = *to_nonconst(mip);
Variables_Set vars;
for (ppl_dimension_type i = n; i-- > 0; )
@@ -1973,7 +1973,7 @@ CATCH_ALL
int
ppl_MIP_Problem_add_constraint(ppl_MIP_Problem_t mip,
- ppl_const_Constraint_t c) try {
+ ppl_const_Constraint_t c) try {
const Constraint& cc = *to_const(c);
MIP_Problem& mmip = *to_nonconst(mip);
mmip.add_constraint(cc);
@@ -1983,7 +1983,7 @@ CATCH_ALL
int
ppl_MIP_Problem_add_constraints(ppl_MIP_Problem_t mip,
- ppl_const_Constraint_System_t cs) try {
+ ppl_const_Constraint_System_t cs) try {
const Constraint_System& ccs = *to_const(cs);
MIP_Problem& mmip = *to_nonconst(mip);
mmip.add_constraints(ccs);
@@ -1993,7 +1993,7 @@ CATCH_ALL
int
ppl_MIP_Problem_set_objective_function(ppl_MIP_Problem_t mip,
- ppl_const_Linear_Expression_t le) try {
+ ppl_const_Linear_Expression_t le) try {
const Linear_Expression& lle = *to_const(le);
MIP_Problem& mmip = *to_nonconst(mip);
mmip.set_objective_function(lle);
@@ -2025,9 +2025,9 @@ CATCH_ALL
int
ppl_MIP_Problem_evaluate_objective_function(ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t g,
- ppl_Coefficient_t num,
- ppl_Coefficient_t den) try {
+ ppl_const_Generator_t g,
+ ppl_Coefficient_t num,
+ ppl_Coefficient_t den) try {
const MIP_Problem& mmip = *to_const(mip);
const Generator& gg = *to_const(g);
Coefficient& nnum = *to_nonconst(num);
@@ -2039,7 +2039,7 @@ CATCH_ALL
int
ppl_MIP_Problem_feasible_point(ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t* pg) try {
+ ppl_const_Generator_t* pg) try {
const Generator& g = to_const(mip)->feasible_point();
*pg = to_const(&g);
return 0;
@@ -2048,7 +2048,7 @@ CATCH_ALL
int
ppl_MIP_Problem_optimizing_point(ppl_const_MIP_Problem_t mip,
- ppl_const_Generator_t* pg) try {
+ ppl_const_Generator_t* pg) try {
const Generator& g = to_const(mip)->optimizing_point();
*pg = to_const(&g);
return 0;
@@ -2057,8 +2057,8 @@ CATCH_ALL
int
ppl_MIP_Problem_optimal_value(ppl_const_MIP_Problem_t mip,
- ppl_Coefficient_t num,
- ppl_Coefficient_t den) try {
+ ppl_Coefficient_t num,
+ ppl_Coefficient_t den) try {
Coefficient& nnum = *to_nonconst(num);
Coefficient& dden = *to_nonconst(den);
to_const(mip)->optimal_value(nnum, dden);
@@ -2117,7 +2117,7 @@ CATCH_ALL
int
ppl_new_PIP_Problem_from_PIP_Problem(ppl_PIP_Problem_t* dpip,
- ppl_const_PIP_Problem_t pip) try {
+ ppl_const_PIP_Problem_t pip) try {
const PIP_Problem& spip = *to_const(pip);
*dpip = to_nonconst(new PIP_Problem(spip));
return 0;
@@ -2143,7 +2143,7 @@ CATCH_ALL
int
ppl_assign_PIP_Problem_from_PIP_Problem(ppl_PIP_Problem_t dst,
- ppl_const_PIP_Problem_t src) try {
+ ppl_const_PIP_Problem_t src) try {
const PIP_Problem& ssrc = *to_const(src);
PIP_Problem& ddst = *to_nonconst(dst);
ddst = ssrc;
@@ -2160,7 +2160,7 @@ CATCH_ALL
int
ppl_PIP_Problem_space_dimension(ppl_const_PIP_Problem_t pip,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
*m = to_const(pip)->space_dimension();
return 0;
}
@@ -2181,7 +2181,7 @@ ppl_PIP_Problem_parameter_space_dimensions(ppl_const_PIP_Problem_t pip,
const Variables_Set& vars = to_const(pip)->parameter_space_dimensions();
ppl_dimension_type* ds_i = ds;
for (Variables_Set::const_iterator v_iter = vars.begin(),
- v_end = vars.end(); v_iter != v_end; ++v_iter, ++ds_i)
+ v_end = vars.end(); v_iter != v_end; ++v_iter, ++ds_i)
*ds_i = *v_iter;
return 0;
}
@@ -2189,7 +2189,7 @@ CATCH_ALL
int
ppl_PIP_Problem_number_of_constraints(ppl_const_PIP_Problem_t pip,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
const PIP_Problem& ppip = *to_const(pip);
*m = static_cast<ppl_dimension_type>(ppip.constraints_end() - ppip.constraints_begin());
return 0;
@@ -2198,8 +2198,8 @@ CATCH_ALL
int
ppl_PIP_Problem_constraint_at_index(ppl_const_PIP_Problem_t pip,
- ppl_dimension_type i,
- ppl_const_Constraint_t* pc) try {
+ ppl_dimension_type i,
+ ppl_const_Constraint_t* pc) try {
#ifndef NDEBUG
ppl_dimension_type num_constraints;
ppl_PIP_Problem_number_of_constraints(pip, &num_constraints);
@@ -2219,8 +2219,8 @@ ppl_PIP_Problem_clear(ppl_PIP_Problem_t pip) try {
CATCH_ALL
int
ppl_PIP_Problem_add_space_dimensions_and_embed(ppl_PIP_Problem_t pip,
- ppl_dimension_type pip_vars,
- ppl_dimension_type pip_params)
+ ppl_dimension_type pip_vars,
+ ppl_dimension_type pip_params)
try {
PIP_Problem& spip = *to_nonconst(pip);
spip.add_space_dimensions_and_embed(pip_vars,pip_params);
@@ -2229,8 +2229,8 @@ ppl_PIP_Problem_add_space_dimensions_and_embed(ppl_PIP_Problem_t pip,
CATCH_ALL
int
ppl_PIP_Problem_add_to_parameter_space_dimensions(ppl_PIP_Problem_t pip,
- ppl_dimension_type ds[],
- size_t n) try {
+ ppl_dimension_type ds[],
+ size_t n) try {
PIP_Problem& ppip = *to_nonconst(pip);
Variables_Set vars;
for (ppl_dimension_type i = n; i-- > 0; )
@@ -2241,7 +2241,7 @@ ppl_PIP_Problem_add_to_parameter_space_dimensions(ppl_PIP_Problem_t pip,
CATCH_ALL
int
ppl_PIP_Problem_add_constraint(ppl_PIP_Problem_t pip,
- ppl_const_Constraint_t c) try {
+ ppl_const_Constraint_t c) try {
const Constraint& cc = *to_const(c);
PIP_Problem& ppip = *to_nonconst(pip);
ppip.add_constraint(cc);
@@ -2251,7 +2251,7 @@ CATCH_ALL
int
ppl_PIP_Problem_add_constraints(ppl_PIP_Problem_t pip,
- ppl_const_Constraint_System_t cs) try {
+ ppl_const_Constraint_System_t cs) try {
const Constraint_System& ccs = *to_const(cs);
PIP_Problem& ppip = *to_nonconst(pip);
ppip.add_constraints(ccs);
@@ -2376,7 +2376,7 @@ CATCH_ALL
int
ppl_PIP_Tree_Node_number_of_artificials(ppl_const_PIP_Tree_Node_t pip_tree,
- ppl_dimension_type* m) try {
+ ppl_dimension_type* m) try {
const PIP_Tree_Node& node = *to_const(pip_tree);
*m = node.art_parameter_count();
return 0;
@@ -2616,13 +2616,13 @@ DEFINE_OUTPUT_FUNCTIONS(Artificial_Parameter)
char*
ppl_io_wrap_string(const char* src,
- unsigned indent_depth,
- unsigned preferred_first_line_length,
- unsigned preferred_line_length) {
+ unsigned indent_depth,
+ unsigned preferred_first_line_length,
+ unsigned preferred_line_length) {
using namespace IO_Operators;
return strdup(wrap_string(src, indent_depth,
- preferred_first_line_length,
- preferred_line_length).c_str());
+ preferred_first_line_length,
+ preferred_line_length).c_str());
}
int
diff --git a/interfaces/C/ppl_c_implementation_common.defs.hh b/interfaces/C/ppl_c_implementation_common.defs.hh
deleted file mode 100644
index fe5156a..0000000
--- a/interfaces/C/ppl_c_implementation_common.defs.hh
+++ /dev/null
@@ -1,259 +0,0 @@
-/* Implementation of the C interface: declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_c_implementation_common_defs_hh
-#define PPL_ppl_c_implementation_common_defs_hh 1
-
-#define PPL_NO_AUTOMATIC_INITIALIZATION
-#include "ppl.hh"
-#include "ppl_c.h"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace C {
-
-extern "C" typedef void
-(*error_handler_type)(enum ppl_enum_error_code code, const char* description);
-
-extern error_handler_type user_error_handler;
-
-void notify_error(enum ppl_enum_error_code code, const char* description);
-
-Relation_Symbol relation_symbol(enum ppl_enum_Constraint_Type t);
-
-Bounded_Integer_Type_Width
-bounded_integer_type_width(enum ppl_enum_Bounded_Integer_Type_Width w);
-
-Bounded_Integer_Type_Representation
-bounded_integer_type_representation(enum ppl_enum_Bounded_Integer_Type_Representation r);
-
-/*! \brief
- A class to wrap an array of fixed length into a partial function interface
- suitable for the map_space_dimension() methods.
-*/
-class Array_Partial_Function_Wrapper {
-public:
- /*! \brief
- Construct a partial function wrapping the first \p n positions of
- \p v.
- */
- Array_Partial_Function_Wrapper(dimension_type* v, size_t n);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the represented partial
- function has an empty codomain (i.e., it is always undefined).
- */
- bool has_empty_codomain() const;
-
- /*! \brief
- Returns the maximum value that belongs to the codomain
- of the partial function.
- */
- dimension_type max_in_codomain() const;
-
- /*! \brief
- Assigns to \p j the value associated to \p i by \p *this, if any.
-
- Let \f$f\f$ be the function represented by \p *this and \f$k\f$ be
- the value of \p i. If \f$f\f$ is defined in \f$k\f$, then
- \f$f(k)\f$ is assigned to \p j and <CODE>true</CODE> is returned.
- If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
- returned.
- */
- bool maps(dimension_type i, dimension_type& j) const;
-
-private:
- //! Holds the vector implementing the map.
- dimension_type* vec;
-
- //! Holds the size of \p vec.
- size_t vec_size;
-
- //! Cache for computing the maximum dimension in the codomain.
- mutable dimension_type max_in_codomain_;
-
- //! Cache for computing emptiness:
- //! -1 if we still don't know, 0 if not empty, 1 if empty.
- mutable int empty;
-};
-
-class timeout_exception : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-void reset_timeout();
-
-class deterministic_timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-void reset_deterministic_timeout();
-
-} // namespace C
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-
-#define CATCH_STD_EXCEPTION(exception, code) \
-catch (const std::exception& e) { \
- notify_error(code, e.what()); \
- return code; \
-}
-
-#define CATCH_ALL \
-CATCH_STD_EXCEPTION(bad_alloc, PPL_ERROR_OUT_OF_MEMORY) \
-CATCH_STD_EXCEPTION(invalid_argument, PPL_ERROR_INVALID_ARGUMENT) \
-CATCH_STD_EXCEPTION(domain_error, PPL_ERROR_DOMAIN_ERROR) \
-CATCH_STD_EXCEPTION(length_error, PPL_ERROR_LENGTH_ERROR) \
-CATCH_STD_EXCEPTION(logic_error, PPL_ERROR_LOGIC_ERROR) \
-CATCH_STD_EXCEPTION(overflow_error, PPL_ARITHMETIC_OVERFLOW) \
-CATCH_STD_EXCEPTION(runtime_error, PPL_ERROR_INTERNAL_ERROR) \
-CATCH_STD_EXCEPTION(exception, PPL_ERROR_UNKNOWN_STANDARD_EXCEPTION) \
-catch (timeout_exception&) { \
- reset_timeout(); \
- notify_error(PPL_TIMEOUT_EXCEPTION, "PPL timeout expired"); \
- return PPL_TIMEOUT_EXCEPTION; \
-} \
-catch (deterministic_timeout_exception&) { \
- reset_deterministic_timeout(); \
- notify_error(PPL_TIMEOUT_EXCEPTION, "PPL deterministic timeout expired"); \
- return PPL_TIMEOUT_EXCEPTION; \
-} \
-catch (...) { \
- notify_error(PPL_ERROR_UNEXPECTED_ERROR, \
- "completely unexpected error: a bug in the PPL"); \
- return PPL_ERROR_UNEXPECTED_ERROR; \
-}
-
-#define DECLARE_CONVERSIONS(Type, CPP_Type) \
- inline const CPP_Type* \
- to_const(ppl_const_##Type##_t x) { \
- return reinterpret_cast<const CPP_Type*>(x); \
- } \
- \
- inline CPP_Type* \
- to_nonconst(ppl_##Type##_t x) { \
- return reinterpret_cast<CPP_Type*>(x); \
- } \
- \
- inline ppl_const_##Type##_t \
- to_const(const CPP_Type* x) { \
- return reinterpret_cast<ppl_const_##Type##_t>(x); \
- } \
- \
- inline ppl_##Type##_t \
- to_nonconst(CPP_Type* x) { \
- return reinterpret_cast<ppl_##Type##_t>(x); \
- }
-
-#define DEFINE_PRINT_FUNCTIONS(Type) \
- int \
- ppl_io_print_##Type(ppl_const_##Type##_t x) try { \
- using namespace IO_Operators; \
- stdiobuf sb(stdout); \
- std::ostream os(&sb); \
- os << *to_const(x); \
- if (!os) \
- return PPL_STDIO_ERROR; \
- return 0; \
- } \
- CATCH_ALL \
- \
- int \
- ppl_io_fprint_##Type(FILE* file, ppl_const_##Type##_t x) try { \
- using namespace IO_Operators; \
- stdiobuf sb(file); \
- std::ostream os(&sb); \
- os << *to_const(x); \
- if (!os) \
- return PPL_STDIO_ERROR; \
- return 0; \
- } \
- CATCH_ALL \
- \
- int \
- ppl_io_asprint_##Type(char** strp, ppl_const_##Type##_t x) try { \
- using namespace IO_Operators; \
- std::ostringstream os; \
- os << *to_const(x); \
- if (!os) \
- return PPL_STDIO_ERROR; \
- *strp = strdup(os.str().c_str()); \
- if (*strp == 0) \
- return PPL_ERROR_OUT_OF_MEMORY; \
- return 0; \
- } \
- CATCH_ALL
-
-#define DEFINE_ASCII_DUMP_FUNCTIONS(Type) \
- int \
- ppl_##Type##_ascii_dump(ppl_const_##Type##_t x, FILE* file) try { \
- stdiobuf sb(file); \
- std::ostream os(&sb); \
- to_const(x)->ascii_dump(os); \
- if (!os) \
- return PPL_STDIO_ERROR; \
- return 0; \
- } \
- CATCH_ALL
-
-#define DEFINE_ASCII_LOAD_FUNCTIONS(Type) \
- int \
- ppl_##Type##_ascii_load(ppl_##Type##_t x, FILE* file) try { \
- stdiobuf sb(file); \
- std::istream is(&sb); \
- if (!to_nonconst(x)->ascii_load(is)) \
- return PPL_STDIO_ERROR; \
- return 0; \
- } \
- CATCH_ALL
-
-#define DEFINE_ASCII_DUMP_LOAD_FUNCTIONS(Type) \
- DEFINE_ASCII_DUMP_FUNCTIONS(Type) \
- DEFINE_ASCII_LOAD_FUNCTIONS(Type)
-
-#define DEFINE_OUTPUT_FUNCTIONS(Type) \
- DEFINE_PRINT_FUNCTIONS(Type) \
- DEFINE_ASCII_DUMP_LOAD_FUNCTIONS(Type)
-
-#include "ppl_c_implementation_common.inlines.hh"
-
-#endif // !defined(PPL_ppl_c_implementation_common_defs_hh)
diff --git a/interfaces/C/ppl_c_implementation_common.inlines.hh b/interfaces/C/ppl_c_implementation_common.inlines.hh
deleted file mode 100644
index 3e3e8f0..0000000
--- a/interfaces/C/ppl_c_implementation_common.inlines.hh
+++ /dev/null
@@ -1,214 +0,0 @@
-/* Implementation of the C interface: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_c_implementation_common_inlines_hh
-#define PPL_ppl_c_implementation_common_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace C {
-
-// FIXME: this same function is used also in the OCaml interface.
-// It should be placed in some common header file in the interfaces
-// directory.
-//! Reinterpret an mpz_t as mpz_class.
-inline mpz_class&
-reinterpret_mpz_class(mpz_t n) {
- return reinterpret_cast<mpz_class&>(*n);
-}
-
-DECLARE_CONVERSIONS(Coefficient, Coefficient)
-
-DECLARE_CONVERSIONS(Linear_Expression, Linear_Expression)
-
-DECLARE_CONVERSIONS(Constraint, Constraint)
-
-DECLARE_CONVERSIONS(Constraint_System, Constraint_System)
-
-DECLARE_CONVERSIONS(Constraint_System_const_iterator,
- Constraint_System_const_iterator)
-
-DECLARE_CONVERSIONS(Generator, Generator)
-
-DECLARE_CONVERSIONS(Generator_System, Generator_System)
-
-DECLARE_CONVERSIONS(Generator_System_const_iterator,
- Generator_System_const_iterator)
-
-DECLARE_CONVERSIONS(Congruence, Congruence)
-
-DECLARE_CONVERSIONS(Congruence_System, Congruence_System)
-
-typedef Congruence_System::const_iterator Congruence_System_const_iterator;
-DECLARE_CONVERSIONS(Congruence_System_const_iterator,
- Congruence_System_const_iterator)
-
-DECLARE_CONVERSIONS(Grid_Generator, Grid_Generator)
-
-DECLARE_CONVERSIONS(Grid_Generator_System, Grid_Generator_System)
-
-typedef Grid_Generator_System::const_iterator
-Grid_Generator_System_const_iterator;
-DECLARE_CONVERSIONS(Grid_Generator_System_const_iterator,
- Grid_Generator_System_const_iterator)
-
-typedef PIP_Tree_Node::Artificial_Parameter
-Artificial_Parameter;
-DECLARE_CONVERSIONS(Artificial_Parameter, Artificial_Parameter)
-
-typedef PIP_Tree_Node::Artificial_Parameter_Sequence
-Artificial_Parameter_Sequence;
-DECLARE_CONVERSIONS(Artificial_Parameter_Sequence,
- Artificial_Parameter_Sequence)
-
-typedef PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
-Artificial_Parameter_Sequence_const_iterator;
-DECLARE_CONVERSIONS(Artificial_Parameter_Sequence_const_iterator,
- Artificial_Parameter_Sequence_const_iterator)
-
-DECLARE_CONVERSIONS(MIP_Problem, MIP_Problem)
-
-DECLARE_CONVERSIONS(PIP_Problem, PIP_Problem)
-
-DECLARE_CONVERSIONS(PIP_Tree_Node, PIP_Tree_Node)
-
-DECLARE_CONVERSIONS(PIP_Decision_Node, PIP_Decision_Node)
-
-DECLARE_CONVERSIONS(PIP_Solution_Node, PIP_Solution_Node)
-
-inline Relation_Symbol
-relation_symbol(enum ppl_enum_Constraint_Type t) {
- switch (t) {
- case PPL_CONSTRAINT_TYPE_LESS_THAN:
- return LESS_THAN;
- case PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL:
- return LESS_OR_EQUAL;
- case PPL_CONSTRAINT_TYPE_EQUAL:
- return EQUAL;
- case PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL:
- return GREATER_OR_EQUAL;
- case PPL_CONSTRAINT_TYPE_GREATER_THAN:
- return GREATER_THAN;
- default:
- return static_cast<Relation_Symbol>(t);
- }
-}
-
-inline Bounded_Integer_Type_Width
-bounded_integer_type_width(enum ppl_enum_Bounded_Integer_Type_Width w) {
- switch (w) {
- case PPL_BITS_8:
- return BITS_8;
- case PPL_BITS_16:
- return BITS_16;
- case PPL_BITS_32:
- return BITS_32;
- case PPL_BITS_64:
- return BITS_64;
- case PPL_BITS_128:
- return BITS_128;
- default:
- return static_cast<Bounded_Integer_Type_Width>(w);
- }
-}
-
-inline Bounded_Integer_Type_Representation
-bounded_integer_type_representation(enum ppl_enum_Bounded_Integer_Type_Representation r) {
- switch (r) {
- case PPL_UNSIGNED:
- return UNSIGNED;
- case PPL_SIGNED_2_COMPLEMENT:
- return SIGNED_2_COMPLEMENT;
- default:
- return static_cast<Bounded_Integer_Type_Representation>(r);
- }
-}
-
-inline Bounded_Integer_Type_Overflow
-bounded_integer_type_overflow(enum ppl_enum_Bounded_Integer_Type_Overflow o) {
- switch (o) {
- case PPL_OVERFLOW_WRAPS:
- return OVERFLOW_WRAPS;
- case PPL_OVERFLOW_UNDEFINED:
- return OVERFLOW_UNDEFINED;
- case PPL_OVERFLOW_IMPOSSIBLE:
- return OVERFLOW_IMPOSSIBLE;
- default:
- return static_cast<Bounded_Integer_Type_Overflow>(o);
- }
-}
-
-inline
-Array_Partial_Function_Wrapper
-::Array_Partial_Function_Wrapper(dimension_type* v, size_t n)
- : vec(v), vec_size(n), max_in_codomain_(not_a_dimension()), empty(-1) {
-}
-
-inline bool
-Array_Partial_Function_Wrapper::has_empty_codomain() const {
- if (empty < 0) {
- empty = 1;
- for (size_t i = vec_size; i-- > 0; )
- if (vec[i] != not_a_dimension()) {
- empty = 0;
- break;
- }
- }
- return (empty != 0);
-}
-
-inline dimension_type
-Array_Partial_Function_Wrapper::max_in_codomain() const {
- if (max_in_codomain_ == not_a_dimension()) {
- for (size_t i = vec_size; i-- > 0; ) {
- dimension_type vec_i = vec[i];
- if (vec_i != not_a_dimension()
- && (max_in_codomain_ == not_a_dimension()
- || vec_i > max_in_codomain_))
- max_in_codomain_ = vec_i;
- }
- }
- return max_in_codomain_;
-}
-
-inline bool
-Array_Partial_Function_Wrapper::maps(dimension_type i,
- dimension_type& j) const {
- if (i >= vec_size)
- return false;
- dimension_type vec_i = vec[i];
- if (vec_i == not_a_dimension())
- return false;
- j = vec_i;
- return true;
-}
-
-} // namespace C
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_ppl_c_implementation_common_inlines_hh)
diff --git a/interfaces/C/ppl_c_implementation_common_defs.hh b/interfaces/C/ppl_c_implementation_common_defs.hh
new file mode 100644
index 0000000..cc4d36e
--- /dev/null
+++ b/interfaces/C/ppl_c_implementation_common_defs.hh
@@ -0,0 +1,259 @@
+/* Implementation of the C interface: declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_c_implementation_common_defs_hh
+#define PPL_ppl_c_implementation_common_defs_hh 1
+
+#define PPL_NO_AUTOMATIC_INITIALIZATION
+#include "ppl.hh"
+#include "ppl_c.h"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace C {
+
+extern "C" typedef void
+(*error_handler_type)(enum ppl_enum_error_code code, const char* description);
+
+extern error_handler_type user_error_handler;
+
+void notify_error(enum ppl_enum_error_code code, const char* description);
+
+Relation_Symbol relation_symbol(enum ppl_enum_Constraint_Type t);
+
+Bounded_Integer_Type_Width
+bounded_integer_type_width(enum ppl_enum_Bounded_Integer_Type_Width w);
+
+Bounded_Integer_Type_Representation
+bounded_integer_type_representation(enum ppl_enum_Bounded_Integer_Type_Representation r);
+
+/*! \brief
+ A class to wrap an array of fixed length into a partial function interface
+ suitable for the map_space_dimension() methods.
+*/
+class Array_Partial_Function_Wrapper {
+public:
+ /*! \brief
+ Construct a partial function wrapping the first \p n positions of
+ \p v.
+ */
+ Array_Partial_Function_Wrapper(dimension_type* v, size_t n);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty codomain (i.e., it is always undefined).
+ */
+ bool has_empty_codomain() const;
+
+ /*! \brief
+ Returns the maximum value that belongs to the codomain
+ of the partial function.
+ */
+ dimension_type max_in_codomain() const;
+
+ /*! \brief
+ Assigns to \p j the value associated to \p i by \p *this, if any.
+
+ Let \f$f\f$ be the function represented by \p *this and \f$k\f$ be
+ the value of \p i. If \f$f\f$ is defined in \f$k\f$, then
+ \f$f(k)\f$ is assigned to \p j and <CODE>true</CODE> is returned.
+ If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
+ returned.
+ */
+ bool maps(dimension_type i, dimension_type& j) const;
+
+private:
+ //! Holds the vector implementing the map.
+ dimension_type* vec;
+
+ //! Holds the size of \p vec.
+ size_t vec_size;
+
+ //! Cache for computing the maximum dimension in the codomain.
+ mutable dimension_type max_in_codomain_;
+
+ //! Cache for computing emptiness:
+ //! -1 if we still don't know, 0 if not empty, 1 if empty.
+ mutable int empty;
+};
+
+class timeout_exception : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+void reset_timeout();
+
+class deterministic_timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+void reset_deterministic_timeout();
+
+} // namespace C
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+
+#define CATCH_STD_EXCEPTION(exception, code) \
+catch (const std::exception& e) { \
+ notify_error(code, e.what()); \
+ return code; \
+}
+
+#define CATCH_ALL \
+CATCH_STD_EXCEPTION(bad_alloc, PPL_ERROR_OUT_OF_MEMORY) \
+CATCH_STD_EXCEPTION(invalid_argument, PPL_ERROR_INVALID_ARGUMENT) \
+CATCH_STD_EXCEPTION(domain_error, PPL_ERROR_DOMAIN_ERROR) \
+CATCH_STD_EXCEPTION(length_error, PPL_ERROR_LENGTH_ERROR) \
+CATCH_STD_EXCEPTION(logic_error, PPL_ERROR_LOGIC_ERROR) \
+CATCH_STD_EXCEPTION(overflow_error, PPL_ARITHMETIC_OVERFLOW) \
+CATCH_STD_EXCEPTION(runtime_error, PPL_ERROR_INTERNAL_ERROR) \
+CATCH_STD_EXCEPTION(exception, PPL_ERROR_UNKNOWN_STANDARD_EXCEPTION) \
+catch (timeout_exception&) { \
+ reset_timeout(); \
+ notify_error(PPL_TIMEOUT_EXCEPTION, "PPL timeout expired"); \
+ return PPL_TIMEOUT_EXCEPTION; \
+} \
+catch (deterministic_timeout_exception&) { \
+ reset_deterministic_timeout(); \
+ notify_error(PPL_TIMEOUT_EXCEPTION, "PPL deterministic timeout expired"); \
+ return PPL_TIMEOUT_EXCEPTION; \
+} \
+catch (...) { \
+ notify_error(PPL_ERROR_UNEXPECTED_ERROR, \
+ "completely unexpected error: a bug in the PPL"); \
+ return PPL_ERROR_UNEXPECTED_ERROR; \
+}
+
+#define DECLARE_CONVERSIONS(Type, CPP_Type) \
+ inline const CPP_Type* \
+ to_const(ppl_const_##Type##_t x) { \
+ return reinterpret_cast<const CPP_Type*>(x); \
+ } \
+ \
+ inline CPP_Type* \
+ to_nonconst(ppl_##Type##_t x) { \
+ return reinterpret_cast<CPP_Type*>(x); \
+ } \
+ \
+ inline ppl_const_##Type##_t \
+ to_const(const CPP_Type* x) { \
+ return reinterpret_cast<ppl_const_##Type##_t>(x); \
+ } \
+ \
+ inline ppl_##Type##_t \
+ to_nonconst(CPP_Type* x) { \
+ return reinterpret_cast<ppl_##Type##_t>(x); \
+ }
+
+#define DEFINE_PRINT_FUNCTIONS(Type) \
+ int \
+ ppl_io_print_##Type(ppl_const_##Type##_t x) try { \
+ using namespace IO_Operators; \
+ stdiobuf sb(stdout); \
+ std::ostream os(&sb); \
+ os << *to_const(x); \
+ if (!os) \
+ return PPL_STDIO_ERROR; \
+ return 0; \
+ } \
+ CATCH_ALL \
+ \
+ int \
+ ppl_io_fprint_##Type(FILE* file, ppl_const_##Type##_t x) try { \
+ using namespace IO_Operators; \
+ stdiobuf sb(file); \
+ std::ostream os(&sb); \
+ os << *to_const(x); \
+ if (!os) \
+ return PPL_STDIO_ERROR; \
+ return 0; \
+ } \
+ CATCH_ALL \
+ \
+ int \
+ ppl_io_asprint_##Type(char** strp, ppl_const_##Type##_t x) try { \
+ using namespace IO_Operators; \
+ std::ostringstream os; \
+ os << *to_const(x); \
+ if (!os) \
+ return PPL_STDIO_ERROR; \
+ *strp = strdup(os.str().c_str()); \
+ if (*strp == 0) \
+ return PPL_ERROR_OUT_OF_MEMORY; \
+ return 0; \
+ } \
+ CATCH_ALL
+
+#define DEFINE_ASCII_DUMP_FUNCTIONS(Type) \
+ int \
+ ppl_##Type##_ascii_dump(ppl_const_##Type##_t x, FILE* file) try { \
+ stdiobuf sb(file); \
+ std::ostream os(&sb); \
+ to_const(x)->ascii_dump(os); \
+ if (!os) \
+ return PPL_STDIO_ERROR; \
+ return 0; \
+ } \
+ CATCH_ALL
+
+#define DEFINE_ASCII_LOAD_FUNCTIONS(Type) \
+ int \
+ ppl_##Type##_ascii_load(ppl_##Type##_t x, FILE* file) try { \
+ stdiobuf sb(file); \
+ std::istream is(&sb); \
+ if (!to_nonconst(x)->ascii_load(is)) \
+ return PPL_STDIO_ERROR; \
+ return 0; \
+ } \
+ CATCH_ALL
+
+#define DEFINE_ASCII_DUMP_LOAD_FUNCTIONS(Type) \
+ DEFINE_ASCII_DUMP_FUNCTIONS(Type) \
+ DEFINE_ASCII_LOAD_FUNCTIONS(Type)
+
+#define DEFINE_OUTPUT_FUNCTIONS(Type) \
+ DEFINE_PRINT_FUNCTIONS(Type) \
+ DEFINE_ASCII_DUMP_LOAD_FUNCTIONS(Type)
+
+#include "ppl_c_implementation_common_inlines.hh"
+
+#endif // !defined(PPL_ppl_c_implementation_common_defs_hh)
diff --git a/interfaces/C/ppl_c_implementation_common_inlines.hh b/interfaces/C/ppl_c_implementation_common_inlines.hh
new file mode 100644
index 0000000..35af8d3
--- /dev/null
+++ b/interfaces/C/ppl_c_implementation_common_inlines.hh
@@ -0,0 +1,214 @@
+/* Implementation of the C interface: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_c_implementation_common_inlines_hh
+#define PPL_ppl_c_implementation_common_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace C {
+
+// FIXME: this same function is used also in the OCaml interface.
+// It should be placed in some common header file in the interfaces
+// directory.
+//! Reinterpret an mpz_t as mpz_class.
+inline mpz_class&
+reinterpret_mpz_class(mpz_t n) {
+ return reinterpret_cast<mpz_class&>(*n);
+}
+
+DECLARE_CONVERSIONS(Coefficient, Coefficient)
+
+DECLARE_CONVERSIONS(Linear_Expression, Linear_Expression)
+
+DECLARE_CONVERSIONS(Constraint, Constraint)
+
+DECLARE_CONVERSIONS(Constraint_System, Constraint_System)
+
+DECLARE_CONVERSIONS(Constraint_System_const_iterator,
+ Constraint_System_const_iterator)
+
+DECLARE_CONVERSIONS(Generator, Generator)
+
+DECLARE_CONVERSIONS(Generator_System, Generator_System)
+
+DECLARE_CONVERSIONS(Generator_System_const_iterator,
+ Generator_System_const_iterator)
+
+DECLARE_CONVERSIONS(Congruence, Congruence)
+
+DECLARE_CONVERSIONS(Congruence_System, Congruence_System)
+
+typedef Congruence_System::const_iterator Congruence_System_const_iterator;
+DECLARE_CONVERSIONS(Congruence_System_const_iterator,
+ Congruence_System_const_iterator)
+
+DECLARE_CONVERSIONS(Grid_Generator, Grid_Generator)
+
+DECLARE_CONVERSIONS(Grid_Generator_System, Grid_Generator_System)
+
+typedef Grid_Generator_System::const_iterator
+Grid_Generator_System_const_iterator;
+DECLARE_CONVERSIONS(Grid_Generator_System_const_iterator,
+ Grid_Generator_System_const_iterator)
+
+typedef PIP_Tree_Node::Artificial_Parameter
+Artificial_Parameter;
+DECLARE_CONVERSIONS(Artificial_Parameter, Artificial_Parameter)
+
+typedef PIP_Tree_Node::Artificial_Parameter_Sequence
+Artificial_Parameter_Sequence;
+DECLARE_CONVERSIONS(Artificial_Parameter_Sequence,
+ Artificial_Parameter_Sequence)
+
+typedef PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
+Artificial_Parameter_Sequence_const_iterator;
+DECLARE_CONVERSIONS(Artificial_Parameter_Sequence_const_iterator,
+ Artificial_Parameter_Sequence_const_iterator)
+
+DECLARE_CONVERSIONS(MIP_Problem, MIP_Problem)
+
+DECLARE_CONVERSIONS(PIP_Problem, PIP_Problem)
+
+DECLARE_CONVERSIONS(PIP_Tree_Node, PIP_Tree_Node)
+
+DECLARE_CONVERSIONS(PIP_Decision_Node, PIP_Decision_Node)
+
+DECLARE_CONVERSIONS(PIP_Solution_Node, PIP_Solution_Node)
+
+inline Relation_Symbol
+relation_symbol(enum ppl_enum_Constraint_Type t) {
+ switch (t) {
+ case PPL_CONSTRAINT_TYPE_LESS_THAN:
+ return LESS_THAN;
+ case PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL:
+ return LESS_OR_EQUAL;
+ case PPL_CONSTRAINT_TYPE_EQUAL:
+ return EQUAL;
+ case PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL:
+ return GREATER_OR_EQUAL;
+ case PPL_CONSTRAINT_TYPE_GREATER_THAN:
+ return GREATER_THAN;
+ default:
+ return static_cast<Relation_Symbol>(t);
+ }
+}
+
+inline Bounded_Integer_Type_Width
+bounded_integer_type_width(enum ppl_enum_Bounded_Integer_Type_Width w) {
+ switch (w) {
+ case PPL_BITS_8:
+ return BITS_8;
+ case PPL_BITS_16:
+ return BITS_16;
+ case PPL_BITS_32:
+ return BITS_32;
+ case PPL_BITS_64:
+ return BITS_64;
+ case PPL_BITS_128:
+ return BITS_128;
+ default:
+ return static_cast<Bounded_Integer_Type_Width>(w);
+ }
+}
+
+inline Bounded_Integer_Type_Representation
+bounded_integer_type_representation(enum ppl_enum_Bounded_Integer_Type_Representation r) {
+ switch (r) {
+ case PPL_UNSIGNED:
+ return UNSIGNED;
+ case PPL_SIGNED_2_COMPLEMENT:
+ return SIGNED_2_COMPLEMENT;
+ default:
+ return static_cast<Bounded_Integer_Type_Representation>(r);
+ }
+}
+
+inline Bounded_Integer_Type_Overflow
+bounded_integer_type_overflow(enum ppl_enum_Bounded_Integer_Type_Overflow o) {
+ switch (o) {
+ case PPL_OVERFLOW_WRAPS:
+ return OVERFLOW_WRAPS;
+ case PPL_OVERFLOW_UNDEFINED:
+ return OVERFLOW_UNDEFINED;
+ case PPL_OVERFLOW_IMPOSSIBLE:
+ return OVERFLOW_IMPOSSIBLE;
+ default:
+ return static_cast<Bounded_Integer_Type_Overflow>(o);
+ }
+}
+
+inline
+Array_Partial_Function_Wrapper
+::Array_Partial_Function_Wrapper(dimension_type* v, size_t n)
+ : vec(v), vec_size(n), max_in_codomain_(not_a_dimension()), empty(-1) {
+}
+
+inline bool
+Array_Partial_Function_Wrapper::has_empty_codomain() const {
+ if (empty < 0) {
+ empty = 1;
+ for (size_t i = vec_size; i-- > 0; )
+ if (vec[i] != not_a_dimension()) {
+ empty = 0;
+ break;
+ }
+ }
+ return (empty != 0);
+}
+
+inline dimension_type
+Array_Partial_Function_Wrapper::max_in_codomain() const {
+ if (max_in_codomain_ == not_a_dimension()) {
+ for (size_t i = vec_size; i-- > 0; ) {
+ dimension_type vec_i = vec[i];
+ if (vec_i != not_a_dimension()
+ && (max_in_codomain_ == not_a_dimension()
+ || vec_i > max_in_codomain_))
+ max_in_codomain_ = vec_i;
+ }
+ }
+ return max_in_codomain_;
+}
+
+inline bool
+Array_Partial_Function_Wrapper::maps(dimension_type i,
+ dimension_type& j) const {
+ if (i >= vec_size)
+ return false;
+ dimension_type vec_i = vec[i];
+ if (vec_i == not_a_dimension())
+ return false;
+ j = vec_i;
+ return true;
+}
+
+} // namespace C
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_ppl_c_implementation_common_inlines_hh)
diff --git a/interfaces/C/ppl_c_version.h.in b/interfaces/C/ppl_c_version.h.in
index c53254f..f3db745 100644
--- a/interfaces/C/ppl_c_version.h.in
+++ b/interfaces/C/ppl_c_version.h.in
@@ -1,6 +1,6 @@
/* Header file providing version information for the C interface. -*- C -*-
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/C/ppl_interface_generator_c_cc_code.m4 b/interfaces/C/ppl_interface_generator_c_cc_code.m4
index 829482a..f337995 100644
--- a/interfaces/C/ppl_interface_generator_c_cc_code.m4
+++ b/interfaces/C/ppl_interface_generator_c_cc_code.m4
@@ -6,7 +6,7 @@ files ppl_c_DOMAIN.cc for each interface domain DOMAIN
in ppl_interface instantiations.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -41,7 +41,7 @@ ppl_new_ at TOPOLOGY@@CLASS at _from_space_dimension
(ppl_ at CLASS@_t* pph,
ppl_dimension_type d,
int empty) try {
- Degenerate_Element e = (empty != 0) ? EMPTY : UNIVERSE;
+ const Degenerate_Element e = (empty != 0) ? EMPTY : UNIVERSE;
*pph = to_nonconst(new @TOPOLOGY@@CPP_CLASS@(d, e));
return 0;
}
@@ -227,7 +227,7 @@ ppl_ at CLASS@_ at MAXMIN@
Coefficient& ssup_n = *to_nonconst(sup_n);
Coefficient& ssup_d = *to_nonconst(sup_d);
bool optimum;
- bool ok = pph. at MAXMIN@(lle, ssup_n, ssup_d, optimum);
+ const bool ok = pph. at MAXMIN@(lle, ssup_n, ssup_d, optimum);
if (ok)
*poptimum = optimum ? 1 : 0;
return ok ? 1 : 0;
@@ -251,7 +251,7 @@ ppl_ at CLASS@_ at MAXMIN@_with_point
Coefficient& ssup_d = *to_nonconst(sup_d);
Generator& ppoint = *to_nonconst(point);
bool optimum;
- bool ok = pph. at MAXMIN@(lle, ssup_n, ssup_d, optimum, ppoint);
+ const bool ok = pph. at MAXMIN@(lle, ssup_n, ssup_d, optimum, ppoint);
if (ok)
*poptimum = optimum ? 1 : 0;
return ok ? 1 : 0;
@@ -272,7 +272,7 @@ ppl_ at CLASS@_has_ at UPPERLOWER@_bound
Coefficient& eext_n = *to_nonconst(ext_n);
Coefficient& eext_d = *to_nonconst(ext_d);
bool closed;
- bool bounded
+ const bool bounded
= pps.has_ at UPPERLOWER@_bound(Variable(var), eext_n, eext_d, closed);
if (bounded)
*pclosed = closed ? 1 : 0;
@@ -386,7 +386,7 @@ ppl_ at CLASS@_constrains
(ppl_ at CLASS@_t ph,
ppl_dimension_type var
) try {
- @CPP_CLASS@& pph = *to_nonconst(ph);
+ const @CPP_CLASS@& pph = *to_const(ph);
return pph.constrains(Variable(var)) ? 1 : 0;
}
CATCH_ALL
@@ -845,7 +845,7 @@ ppl_ at CLASS@_map_space_dimensions
ppl_dimension_type maps[],
size_t n) try {
@CPP_CLASS@& pph = *to_nonconst(ph);
- Array_Partial_Function_Wrapper function(maps, n);
+ const Array_Partial_Function_Wrapper function(maps, n);
pph.map_space_dimensions(function);
return 0;
}
@@ -1288,7 +1288,7 @@ ppl_one_affine_ranking_function_ at TERMINATION_ID@_ at TOPOLOGY@@CLASS@
const @TOPOLOGY@@CPP_CLASS@& ppset
= *static_cast<const @TOPOLOGY@@CPP_CLASS@*>(to_const(pset));
Generator& ppoint = *to_nonconst(point);
- bool ok = one_affine_ranking_function_ at TERMINATION_ID@(ppset, ppoint);
+ const bool ok = one_affine_ranking_function_ at TERMINATION_ID@(ppset, ppoint);
return ok ? 1 : 0;
}
CATCH_ALL
@@ -1306,9 +1306,9 @@ ppl_one_affine_ranking_function_ at TERMINATION_ID@_ at TOPOLOGY@@CLASS at _2
const @TOPOLOGY@@CPP_CLASS@& ppset_after
= *static_cast<const @TOPOLOGY@@CPP_CLASS@*>(to_const(pset_after));
Generator& ppoint = *to_nonconst(point);
- bool ok = one_affine_ranking_function_ at TERMINATION_ID@_2(ppset_before,
- ppset_after,
- ppoint);
+ const bool ok = one_affine_ranking_function_ at TERMINATION_ID@_2(ppset_before,
+ ppset_after,
+ ppoint);
return ok ? 1 : 0;
}
CATCH_ALL
@@ -1402,8 +1402,8 @@ ppl_ at CLASS@_wrap_assign
Variables_Set vars;
for (ppl_dimension_type i = n; i-- > 0; )
vars.insert(ds[i]);
- const Constraint_System* ccs = to_const(*pcs);
- bool b = (wrap_individually != 0);
+ const Constraint_System* const ccs = to_const(*pcs);
+ const bool b = (wrap_individually != 0);
pph.wrap_assign(vars,
bounded_integer_type_width(w),
bounded_integer_type_representation(r),
diff --git a/interfaces/C/ppl_interface_generator_c_cc_files.m4 b/interfaces/C/ppl_interface_generator_c_cc_files.m4
index c4344e9..7e5e135 100644
--- a/interfaces/C/ppl_interface_generator_c_cc_files.m4
+++ b/interfaces/C/ppl_interface_generator_c_cc_files.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_c_cc
dnl using the code in ppl_interface_generator_c_cc_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -46,7 +46,7 @@ ___BEGIN_OF_FILE___ ppl_c_`'m4_current_interface`'.cc << ___END_OF_FILE___
m4_include(`ppl_interface_generator_copyright')`'dnl
*/
-`#'include "ppl_c_implementation_common.defs.hh"
+`#'include "ppl_c_implementation_common_defs.hh"
`#'include "interfaced_boxes.hh"
`#'include "ppl_c_implementation_domains.hh"
diff --git a/interfaces/C/ppl_interface_generator_c_h.m4 b/interfaces/C/ppl_interface_generator_c_h.m4
index d011835..98d61c8 100644
--- a/interfaces/C/ppl_interface_generator_c_h.m4
+++ b/interfaces/C/ppl_interface_generator_c_h.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_c_domains.h
dnl using the code in ppl_interface_generator_c_h_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/C/ppl_interface_generator_c_h_code.m4 b/interfaces/C/ppl_interface_generator_c_h_code.m4
index b2c6ebb..b95b6ce 100644
--- a/interfaces/C/ppl_interface_generator_c_h_code.m4
+++ b/interfaces/C/ppl_interface_generator_c_h_code.m4
@@ -5,7 +5,7 @@ This m4 file contains the program header code for generating the
files ppl_c_domains.h.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/C/ppl_interface_generator_c_hh_files.m4 b/interfaces/C/ppl_interface_generator_c_hh_files.m4
index df69534..36b95bd 100644
--- a/interfaces/C/ppl_interface_generator_c_hh_files.m4
+++ b/interfaces/C/ppl_interface_generator_c_hh_files.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_c_h
dnl using the code in ppl_interface_generator_c_h_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/C/ppl_interface_generator_c_procedure_generators.m4 b/interfaces/C/ppl_interface_generator_c_procedure_generators.m4
index 1e8931a..7b021ad 100644
--- a/interfaces/C/ppl_interface_generator_c_procedure_generators.m4
+++ b/interfaces/C/ppl_interface_generator_c_procedure_generators.m4
@@ -5,7 +5,7 @@ dnl for the C interface; this includes:
dnl - the list in the imported file and any C specific procedures.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/C/tests/Makefile.am b/interfaces/C/tests/Makefile.am
index 2e6b1dd..9933502 100644
--- a/interfaces/C/tests/Makefile.am
+++ b/interfaces/C/tests/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/C/tests/Makefile.in b/interfaces/C/tests/Makefile.in
index c285085..7aeefd5 100644
--- a/interfaces/C/tests/Makefile.in
+++ b/interfaces/C/tests/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -63,7 +79,8 @@ XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1) $(am__EXEEXT_2)
subdir = interfaces/C/tests
DIST_COMMON = $(noinst_HEADERS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -99,10 +116,8 @@ CONFIG_CLEAN_VPATH_FILES =
ARFLAGS = cru
AM_V_AR = $(am__v_AR_ at AM_V@)
am__v_AR_ = $(am__v_AR_ at AM_DEFAULT_V@)
-am__v_AR_0 = @echo " AR " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_AR_0 = @echo " AR " $@;
+am__v_AR_1 =
libppl_c_tests_a_AR = $(AR) $(ARFLAGS)
libppl_c_tests_a_LIBADD =
am_libppl_c_tests_a_OBJECTS = libppl_c_tests_a-ppl_c_test.$(OBJEXT)
@@ -119,6 +134,7 @@ formatted_output_DEPENDENCIES = libppl_c_tests.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_pip_test_OBJECTS = pip_test.$(OBJEXT)
pip_test_OBJECTS = $(am_pip_test_OBJECTS)
pip_test_LDADD = $(LDADD)
@@ -134,6 +150,18 @@ weightwatch1_OBJECTS = $(am_weightwatch1_OBJECTS)
weightwatch1_LDADD = $(LDADD)
weightwatch1_DEPENDENCIES = libppl_c_tests.a \
$(top_builddir)/interfaces/C/libppl_c.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -146,14 +174,16 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
CXXCOMPILE = $(CXX) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \
$(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CXXFLAGS) $(CXXFLAGS)
LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
@@ -162,17 +192,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(libppl_c_tests_a_SOURCES) \
$(nodist_EXTRA_libppl_c_tests_a_SOURCES) \
$(formatted_output_SOURCES) \
@@ -183,11 +212,18 @@ SOURCES = $(libppl_c_tests_a_SOURCES) \
DIST_SOURCES = $(libppl_c_tests_a_SOURCES) $(formatted_output_SOURCES) \
$(pip_test_SOURCES) $(watchdog1_SOURCES) \
$(weightwatch1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
HEADERS = $(noinst_HEADERS)
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -665,6 +701,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -678,7 +728,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -902,7 +952,7 @@ uninstall-am:
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
clean-checkLIBRARIES clean-checkPROGRAMS clean-generic \
- clean-libtool ctags distclean distclean-compile \
+ clean-libtool cscopelist ctags distclean distclean-compile \
distclean-generic distclean-libtool distclean-tags distdir dvi \
dvi-am html html-am info info-am install install-am \
install-data install-data-am install-dvi install-dvi-am \
diff --git a/interfaces/C/tests/formatted_output.c b/interfaces/C/tests/formatted_output.c
index 5e3884b..34ee030 100644
--- a/interfaces/C/tests/formatted_output.c
+++ b/interfaces/C/tests/formatted_output.c
@@ -1,6 +1,6 @@
/* Test the use of C++ output facilities from C code.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/C/tests/pip_test.c b/interfaces/C/tests/pip_test.c
index f5c0537..6d72200 100644
--- a/interfaces/C/tests/pip_test.c
+++ b/interfaces/C/tests/pip_test.c
@@ -1,6 +1,6 @@
/* Test the use of the PPL PIP solver from C code.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -48,7 +48,7 @@ fatal(const char* format, ...) {
static void
error_handler(enum ppl_enum_error_code code,
- const char* description) {
+ const char* description) {
fatal("PPL error code %d: %s", code, description);
}
diff --git a/interfaces/C/tests/ppl_c_test.cc b/interfaces/C/tests/ppl_c_test.cc
index 06e9cd3..759208d 100644
--- a/interfaces/C/tests/ppl_c_test.cc
+++ b/interfaces/C/tests/ppl_c_test.cc
@@ -1,7 +1,7 @@
/* Implementation of utility functions used in test programs
of the C interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/C/tests/ppl_c_test.h b/interfaces/C/tests/ppl_c_test.h
index 8d296df..b6bd8af 100644
--- a/interfaces/C/tests/ppl_c_test.h
+++ b/interfaces/C/tests/ppl_c_test.h
@@ -1,6 +1,6 @@
/* Header file for C test programs.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/C/tests/print_to_buffer.c b/interfaces/C/tests/print_to_buffer.c
index 569d270..88dde25 100644
--- a/interfaces/C/tests/print_to_buffer.c
+++ b/interfaces/C/tests/print_to_buffer.c
@@ -1,6 +1,6 @@
/* Definitions of print_ppl_*_to_buffer() functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -28,19 +28,19 @@ site: http://bugseng.com/products/ppl/ . */
#define DEFINE_PRINT_TO_BUFFER(Type) \
char* \
- print_ppl_##Type##_to_buffer(ppl_const_##Type##_t p, \
- unsigned indent_depth, \
- unsigned preferred_first_line_length, \
- unsigned preferred_line_length) { \
- char *buf, *ret; \
- int r = ppl_io_asprint_##Type(&buf, p); \
- if (r != 0) \
- return 0; \
- ret = ppl_io_wrap_string(buf, indent_depth, \
- preferred_first_line_length, \
- preferred_line_length); \
- free(buf); \
- return ret; \
+ print_ppl_##Type##_to_buffer(ppl_const_##Type##_t p, \
+ unsigned indent_depth, \
+ unsigned preferred_first_line_length, \
+ unsigned preferred_line_length) { \
+ char *buf, *ret; \
+ int r = ppl_io_asprint_##Type(&buf, p); \
+ if (r != 0) \
+ return 0; \
+ ret = ppl_io_wrap_string(buf, indent_depth, \
+ preferred_first_line_length, \
+ preferred_line_length); \
+ free(buf); \
+ return ret; \
}
DEFINE_PRINT_TO_BUFFER(Coefficient)
diff --git a/interfaces/C/tests/print_to_buffer.h b/interfaces/C/tests/print_to_buffer.h
index ed6756c..15512ad 100644
--- a/interfaces/C/tests/print_to_buffer.h
+++ b/interfaces/C/tests/print_to_buffer.h
@@ -1,6 +1,6 @@
/* Declarations of print_ppl_*_to_buffer() functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -34,12 +34,12 @@ site: http://bugseng.com/products/ppl/ . */
`preferred_first_line_length' and `preferred_line_length',
respectively.
*/
-#define DECLARE_PRINT_TO_BUFFER(Type) \
+#define DECLARE_PRINT_TO_BUFFER(Type) \
char* \
-print_ppl_##Type##_to_buffer(ppl_const_##Type##_t p, \
- unsigned indent_depth, \
- unsigned preferred_first_line_length, \
- unsigned preferred_line_length);
+print_ppl_##Type##_to_buffer(ppl_const_##Type##_t p, \
+ unsigned indent_depth, \
+ unsigned preferred_first_line_length, \
+ unsigned preferred_line_length);
#ifdef __cplusplus
extern "C" {
diff --git a/interfaces/C/tests/watchdog1.c b/interfaces/C/tests/watchdog1.c
index ee06a05..fd429e8 100644
--- a/interfaces/C/tests/watchdog1.c
+++ b/interfaces/C/tests/watchdog1.c
@@ -1,6 +1,6 @@
/* Test the timeout facility of the PPL C interface library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -47,7 +47,7 @@ fatal(const char* format, ...) {
static void
error_handler(enum ppl_enum_error_code code,
- const char* description) {
+ const char* description) {
if (check_noisy() || check_very_noisy())
fprintf(stderr, "PPL error code %d: %s\n", code, description);
#if !PPL_WATCHDOG_OBJECTS_ARE_SUPPORTED
diff --git a/interfaces/C/tests/weightwatch1.c b/interfaces/C/tests/weightwatch1.c
index 2378e38..92cfa69 100644
--- a/interfaces/C/tests/weightwatch1.c
+++ b/interfaces/C/tests/weightwatch1.c
@@ -1,6 +1,6 @@
/* Test the deterministic timeout facility of the PPL C interface library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -47,7 +47,7 @@ fatal(const char* format, ...) {
static void
error_handler(enum ppl_enum_error_code code,
- const char* description) {
+ const char* description) {
if (check_noisy() || check_very_noisy())
fprintf(stderr, "PPL error code %d: %s\n", code, description);
}
diff --git a/interfaces/Java/Makefile.am b/interfaces/Java/Makefile.am
index 15d64ae..204bafe 100644
--- a/interfaces/Java/Makefile.am
+++ b/interfaces/Java/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Java/Makefile.in b/interfaces/Java/Makefile.in
index e734665..510f5fb 100644
--- a/interfaces/Java/Makefile.in
+++ b/interfaces/Java/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -58,7 +74,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Java
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -91,12 +108,18 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -106,6 +129,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -417,8 +445,11 @@ clean-libtool:
-rm -rf .libs _libs
install-jarDATA: $(jar_DATA)
@$(NORMAL_INSTALL)
- test -z "$(jardir)" || $(MKDIR_P) "$(DESTDIR)$(jardir)"
@list='$(jar_DATA)'; test -n "$(jardir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(jardir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(jardir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -435,12 +466,12 @@ uninstall-jarDATA:
dir='$(DESTDIR)$(jardir)'; $(am__uninstall_files_from_dir)
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -450,7 +481,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -464,37 +499,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -503,6 +507,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -566,6 +574,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -601,13 +623,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -732,22 +751,24 @@ ps-am:
uninstall-am: uninstall-jarDATA
-.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) ctags-recursive \
- install-am install-strip tags-recursive
+.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) \
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-generic clean-libtool \
- ctags ctags-recursive distclean distclean-generic \
- distclean-libtool distclean-tags distdir dvi dvi-am html \
- html-am info info-am install install-am install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-jarDATA install-man install-pdf \
- install-pdf-am install-ps install-ps-am install-strip \
- installcheck installcheck-am installdirs installdirs-am \
- maintainer-clean maintainer-clean-generic mostlyclean \
- mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
- tags tags-recursive uninstall uninstall-am uninstall-jarDATA
+ cscopelist cscopelist-recursive ctags ctags-recursive \
+ distclean distclean-generic distclean-libtool distclean-tags \
+ distdir dvi dvi-am html html-am info info-am install \
+ install-am install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-info install-info-am install-jarDATA \
+ install-man install-pdf install-pdf-am install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs installdirs-am maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-generic \
+ mostlyclean-libtool pdf pdf-am ps ps-am tags tags-recursive \
+ uninstall uninstall-am uninstall-jarDATA
ppl_java.jar: parma_polyhedra_library/java_classes.stamp
diff --git a/interfaces/Java/README.java b/interfaces/Java/README.java
index abe3fb1..48a6ee5 100644
--- a/interfaces/Java/README.java
+++ b/interfaces/Java/README.java
@@ -1,5 +1,5 @@
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is free software; as a special exception the author gives
# unlimited permission to copy and/or distribute it, with or without
diff --git a/interfaces/Java/jni/Makefile.am b/interfaces/Java/jni/Makefile.am
index cc20998..33a9d0e 100644
--- a/interfaces/Java/jni/Makefile.am
+++ b/interfaces/Java/jni/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -93,8 +93,8 @@ endif !HOST_OS_MINGW
endif !HOST_OS_DARWIN
libppl_java_la_SOURCES = \
-ppl_java_common.defs.hh \
-ppl_java_common.inlines.hh \
+ppl_java_common_defs.hh \
+ppl_java_common_inlines.hh \
ppl_java_common.cc \
ppl_java_globals.cc
diff --git a/interfaces/Java/jni/Makefile.in b/interfaces/Java/jni/Makefile.in
index 86858ce..f8fc8c8 100644
--- a/interfaces/Java/jni/Makefile.in
+++ b/interfaces/Java/jni/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -58,7 +74,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Java/jni
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -125,10 +142,23 @@ libppl_java_la_OBJECTS = $(am_libppl_java_la_OBJECTS)
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_java_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX \
$(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=link $(CXXLD) \
$(AM_CXXFLAGS) $(CXXFLAGS) $(libppl_java_la_LDFLAGS) \
$(LDFLAGS) -o $@
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -141,17 +171,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -160,20 +189,24 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_java_la_SOURCES) \
$(nodist_EXTRA_libppl_java_la_SOURCES)
DIST_SOURCES = $(libppl_java_la_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
@@ -418,8 +451,8 @@ AM_LIBTOOLFLAGS = --tag=disable-static
@HOST_OS_DARWIN_TRUE at -shrext .jnilib
libppl_java_la_SOURCES = \
-ppl_java_common.defs.hh \
-ppl_java_common.inlines.hh \
+ppl_java_common_defs.hh \
+ppl_java_common_inlines.hh \
ppl_java_common.cc \
ppl_java_globals.cc
@@ -549,7 +582,6 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)"
@list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -557,6 +589,8 @@ install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkglibdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \
}
@@ -572,12 +606,14 @@ uninstall-pkglibLTLIBRARIES:
clean-pkglibLTLIBRARIES:
-test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES)
- @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(pkglib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_java.la: $(libppl_java_la_OBJECTS) $(libppl_java_la_DEPENDENCIES) $(EXTRA_libppl_java_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_java_la_LINK) -rpath $(pkglibdir) $(libppl_java_la_OBJECTS) $(libppl_java_la_LIBADD) $(LIBS)
@@ -738,6 +774,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -886,18 +936,19 @@ uninstall-am: uninstall-pkglibLTLIBRARIES
.MAKE: all check install install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-am clean clean-generic \
- clean-libtool clean-pkglibLTLIBRARIES ctags distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-data install-data-am install-dvi \
- install-dvi-am install-exec install-exec-am install-html \
- install-html-am install-info install-info-am install-man \
- install-pdf install-pdf-am install-pkglibLTLIBRARIES \
- install-ps install-ps-am install-strip installcheck \
- installcheck-am installdirs maintainer-clean \
- maintainer-clean-generic mostlyclean mostlyclean-compile \
- mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
- tags uninstall uninstall-am uninstall-pkglibLTLIBRARIES
+ clean-libtool clean-pkglibLTLIBRARIES cscopelist ctags \
+ distclean distclean-compile distclean-generic \
+ distclean-libtool distclean-tags distdir dvi dvi-am html \
+ html-am info info-am install install-am install-data \
+ install-data-am install-dvi install-dvi-am install-exec \
+ install-exec-am install-html install-html-am install-info \
+ install-info-am install-man install-pdf install-pdf-am \
+ install-pkglibLTLIBRARIES install-ps install-ps-am \
+ install-strip installcheck installcheck-am installdirs \
+ maintainer-clean maintainer-clean-generic mostlyclean \
+ mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
+ pdf pdf-am ps ps-am tags uninstall uninstall-am \
+ uninstall-pkglibLTLIBRARIES
ppl_java_implementation_domains.cc.stamp: $(interface_generator_dependencies)
diff --git a/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_code.m4 b/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_code.m4
index a06df38..99d35a2 100644
--- a/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_code.m4
+++ b/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_code.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
This m4 file contains the code for generating ppl_java_<CLASS_NAME>.cc
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -1171,7 +1171,7 @@ CATCH_ALL
m4_define(`ppl_ at CLASS@_drop_some_non_integer_points_code',
`dnl
-JNIEXPORT void JNICALL Java_parma_1polyhedra_1library_ at 1CLASS@_drop_1some_1non_1integer_1points
+JNIEXPORT void JNICALL Java_parma_1polyhedra_1library_ at 1CLASS@_drop_1some_1non_1integer_1points__Lparma_1polyhedra_1library_Complexity_1Class_2
(JNIEnv* env, jobject j_this, jobject j_complexity) try {
@CPP_CLASS@* this_ptr
= reinterpret_cast<@CPP_CLASS@*>(get_ptr(env, j_this));
@@ -1200,7 +1200,7 @@ CATCH_ALL
m4_define(`ppl_ at CLASS@_drop_some_non_integer_points_2_code',
`dnl
-JNIEXPORT void JNICALL Java_parma_1polyhedra_1library_ at 1CLASS@_drop_1some_1non_1integer_1points_12
+JNIEXPORT void JNICALL Java_parma_1polyhedra_1library_ at 1CLASS@_drop_1some_1non_1integer_1points__Lparma_1polyhedra_1library_Variables_1Set_2Lparma_1polyhedra_1library_Complexity_1Class_2
(JNIEnv* env, jobject j_this, jobject j_v_set, jobject j_complexity) try {
@CPP_CLASS@* this_ptr
= reinterpret_cast<@CPP_CLASS@*>(get_ptr(env, j_this));
diff --git a/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_files.m4 b/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_files.m4
index fac0061..6b1486d 100644
--- a/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_files.m4
+++ b/interfaces/Java/jni/ppl_interface_generator_java_classes_cc_files.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file parma_polyhedra_library_classes.cc
dnl using the code in ppl_interface_generator_java_classes_cc_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -49,7 +49,7 @@ ___BEGIN_OF_FILE___ ppl_java_Termination.cc << ___END_OF_FILE___
m4_include(`ppl_interface_generator_copyright')`'dnl
*/
-`#'include "ppl_java_common.defs.hh"
+`#'include "ppl_java_common_defs.hh"
`#'include "parma_polyhedra_library_Termination.h"
`#'include "parma_polyhedra_library_C_Polyhedron.h"
`#'include "parma_polyhedra_library_NNC_Polyhedron.h"
@@ -66,7 +66,7 @@ ___BEGIN_OF_FILE___ ppl_java_`'m4_current_interface`'.cc << ___END_OF_FILE___
m4_include(`ppl_interface_generator_copyright')`'dnl
*/
-`#'include "ppl_java_common.defs.hh"
+`#'include "ppl_java_common_defs.hh"
`#'include "parma_polyhedra_library_`'m4_current_interface`'.h"
m4_ifelse(m4_current_interface, Polyhedron,
`#'include "parma_polyhedra_library_C_Polyhedron.h"
diff --git a/interfaces/Java/jni/ppl_java_common.cc b/interfaces/Java/jni/ppl_java_common.cc
index b3447c3..faea99b 100644
--- a/interfaces/Java/jni/ppl_java_common.cc
+++ b/interfaces/Java/jni/ppl_java_common.cc
@@ -1,6 +1,6 @@
/* PPL Java interface common routines implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -21,7 +21,7 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-#include "ppl_java_common.defs.hh"
+#include "ppl_java_common_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -34,6 +34,8 @@ Java_Class_Cache cached_classes;
Java_FMID_Cache cached_FMIDs;
Java_Class_Cache::Java_Class_Cache() {
+ // Java Virtual Machine pointer.
+ jvm = NULL;
// Non-PPL classes.
Boolean = NULL;
Integer = NULL;
@@ -75,6 +77,7 @@ Java_Class_Cache::Java_Class_Cache() {
PPL_Object = NULL;
Relation_Symbol = NULL;
Variable = NULL;
+ Variable_Stringifier = NULL;
Variables_Set = NULL;
}
@@ -93,6 +96,8 @@ Java_Class_Cache::init_cache(JNIEnv* env, jclass& field, const char* name) {
void
Java_Class_Cache::init_cache(JNIEnv* env) {
assert(env != NULL);
+ // Java Virtual Machine pointer.
+ env->GetJavaVM(&jvm);
// Non-PPL classes.
init_cache(env, Boolean, "java/lang/Boolean");
init_cache(env, Integer, "java/lang/Integer");
@@ -155,6 +160,8 @@ Java_Class_Cache::init_cache(JNIEnv* env) {
init_cache(env, PPL_Object, "parma_polyhedra_library/PPL_Object");
init_cache(env, Relation_Symbol, "parma_polyhedra_library/Relation_Symbol");
init_cache(env, Variable, "parma_polyhedra_library/Variable");
+ // NOTE: initialization of concrete Variable_Stringifier is responsibility
+ // of static (native) method Variable.setStringifier.
init_cache(env, Variables_Set, "parma_polyhedra_library/Variables_Set");
}
@@ -170,6 +177,8 @@ Java_Class_Cache::clear_cache(JNIEnv* env, jclass& field) {
void
Java_Class_Cache::clear_cache(JNIEnv* env) {
assert(env != NULL);
+ // Clearing the JVM pointer.
+ jvm = NULL;
// Non-PPL classes.
clear_cache(env, Boolean);
clear_cache(env, Integer);
@@ -209,6 +218,7 @@ Java_Class_Cache::clear_cache(JNIEnv* env) {
clear_cache(env, PPL_Object);
clear_cache(env, Relation_Symbol);
clear_cache(env, Variable);
+ clear_cache(env, Variable_Stringifier);
clear_cache(env, Variables_Set);
}
@@ -334,7 +344,7 @@ build_java_poly_gen_relation(JNIEnv* env, Poly_Gen_Relation& r) {
}
}
jobject ret = env->NewObject(cached_classes.Poly_Gen_Relation,
- cached_FMIDs.Poly_Gen_Relation_init_ID,
+ cached_FMIDs.Poly_Gen_Relation_init_ID,
j_value);
CHECK_RESULT_THROW(env, ret);
return ret;
@@ -362,7 +372,7 @@ build_java_poly_con_relation(JNIEnv* env, Poly_Con_Relation& r) {
}
}
jobject ret = env->NewObject(cached_classes.Poly_Con_Relation,
- cached_FMIDs.Poly_Con_Relation_init_ID,
+ cached_FMIDs.Poly_Con_Relation_init_ID,
j_value);
CHECK_RESULT_THROW(env, ret);
return ret;
@@ -469,7 +479,7 @@ build_java_variables_set(JNIEnv* env, const Variables_Set& v_set) {
cached_FMIDs.Variables_Set_init_ID);
CHECK_RESULT_THROW(env, j_vs);
for (Variables_Set::const_iterator v_begin = v_set.begin(),
- v_end = v_set.end(); v_begin != v_end; ++v_begin) {
+ v_end = v_set.end(); v_begin != v_end; ++v_begin) {
Variable var(*v_begin);
jobject j_variable = build_java_variable(env, var);
env->CallBooleanMethod(j_vs,
@@ -549,6 +559,8 @@ build_cxx_relsym(JNIEnv* env, jobject j_relsym) {
return GREATER_OR_EQUAL;
case 4:
return GREATER_THAN;
+ case 5:
+ return NOT_EQUAL;
default:
PPL_JAVA_UNEXPECTED;
}
@@ -643,11 +655,11 @@ build_java_control_parameter_name
CHECK_RESULT_ASSERT(env, j_cp_name_class);
jfieldID cp_name_pricing_get_id
= env->GetStaticFieldID(j_cp_name_class, "PRICING",
- "Lparma_polyhedra_library/Control_Parameter_Name;");
+ "Lparma_polyhedra_library/Control_Parameter_Name;");
CHECK_RESULT_ASSERT(env, cp_name_pricing_get_id);
if (cp_name == MIP_Problem::PRICING)
return env->GetStaticObjectField(j_cp_name_class,
- cp_name_pricing_get_id);
+ cp_name_pricing_get_id);
else
PPL_UNREACHABLE;
}
@@ -726,19 +738,19 @@ build_java_pip_problem_control_parameter_name
CHECK_RESULT_ASSERT(env, j_cp_name_class);
jfieldID cp_name_cutting_strategy_get_id
= env->GetStaticFieldID(j_cp_name_class, "CUTTING_STRATEGY",
- "Lparma_polyhedra_library/PIP_Problem_Control_Parameter_Name;");
+ "Lparma_polyhedra_library/PIP_Problem_Control_Parameter_Name;");
CHECK_RESULT_ASSERT(env, cp_name_cutting_strategy_get_id);
jfieldID cp_name_pivot_row_strategy_get_id
= env->GetStaticFieldID(j_cp_name_class, "PIVOT_ROW_STRATEGY",
- "Lparma_polyhedra_library/PIP_Problem_Control_Parameter_Name;");
+ "Lparma_polyhedra_library/PIP_Problem_Control_Parameter_Name;");
CHECK_RESULT_ASSERT(env, cp_name_pivot_row_strategy_get_id);
switch (cp_name) {
case PIP_Problem::CUTTING_STRATEGY:
return env->GetStaticObjectField(j_cp_name_class,
- cp_name_cutting_strategy_get_id);
+ cp_name_cutting_strategy_get_id);
case PIP_Problem::PIVOT_ROW_STRATEGY:
return env->GetStaticObjectField(j_cp_name_class,
- cp_name_pivot_row_strategy_get_id);
+ cp_name_pivot_row_strategy_get_id);
default:
PPL_UNREACHABLE;
}
@@ -838,7 +850,7 @@ build_cxx_linear_expression(JNIEnv* env, jobject j_le) {
if (env->IsAssignableFrom(current_class,
cached_classes.Linear_Expression_Variable)) {
jmethodID mID = cached_FMIDs.Linear_Expression_Variable_var_id_ID;
- jint var_id = env->CallIntMethod(j_le, mID);
+ jlong var_id = env->CallLongMethod(j_le, mID);
return Linear_Expression(Variable(var_id));
}
// LE_Coefficient
@@ -1025,7 +1037,7 @@ build_java_constraint(JNIEnv* env, const Constraint& c) {
= env->GetStaticObjectField(cached_classes.Relation_Symbol, fID);
jobject ret = env->NewObject(cached_classes.Constraint,
cached_FMIDs.Constraint_init_ID,
- lhs, relation, rhs);
+ lhs, relation, rhs);
CHECK_RESULT_THROW(env, ret);
return ret;
}
@@ -1038,7 +1050,7 @@ build_java_congruence(JNIEnv* env, const Congruence& cg) {
= build_java_linear_expression_coefficient(env, -cg.inhomogeneous_term());
jobject ret = env->NewObject(cached_classes.Congruence,
cached_FMIDs.Congruence_init_ID,
- j_lhs, j_rhs, j_mod);
+ j_lhs, j_rhs, j_mod);
CHECK_RESULT_THROW(env, ret);
return ret;
}
@@ -1050,12 +1062,12 @@ build_java_generator(JNIEnv* env, const Generator& g) {
switch (g.type()) {
case Generator::LINE:
ret = env->CallStaticObjectMethod(cached_classes.Generator,
- cached_FMIDs.Generator_line_ID,
+ cached_FMIDs.Generator_line_ID,
j_g_le);
break;
case Generator::RAY:
ret = env->CallStaticObjectMethod(cached_classes.Generator,
- cached_FMIDs.Generator_ray_ID,
+ cached_FMIDs.Generator_ray_ID,
j_g_le);
break;
case Generator::POINT:
@@ -1090,7 +1102,7 @@ build_java_grid_generator(JNIEnv* env, const Grid_Generator& g) {
switch (g.type()) {
case Grid_Generator::LINE:
ret = env->CallStaticObjectMethod(cached_classes.Grid_Generator,
- cached_FMIDs.Grid_Generator_grid_line_ID,
+ cached_FMIDs.Grid_Generator_grid_line_ID,
j_g_le);
break;
case Grid_Generator::PARAMETER:
@@ -1124,7 +1136,7 @@ build_java_constraint_system(JNIEnv* env, const Constraint_System& cs) {
cached_FMIDs.Constraint_System_init_ID);
CHECK_RESULT_THROW(env, j_cs);
for (Constraint_System::const_iterator v_begin = cs.begin(),
- v_end = cs.end(); v_begin != v_end; ++v_begin) {
+ v_end = cs.end(); v_begin != v_end; ++v_begin) {
jobject j_constraint = build_java_constraint(env, *v_begin);
env->CallBooleanMethod(j_cs,
cached_FMIDs.Constraint_System_add_ID,
@@ -1140,7 +1152,7 @@ build_java_generator_system(JNIEnv* env, const Generator_System& gs) {
cached_FMIDs.Generator_System_init_ID);
CHECK_RESULT_THROW(env, j_gs);
for (Generator_System::const_iterator v_begin = gs.begin(),
- v_end = gs.end(); v_begin != v_end; ++v_begin) {
+ v_end = gs.end(); v_begin != v_end; ++v_begin) {
jobject j_generator = build_java_generator(env, *v_begin);
env->CallBooleanMethod(j_gs,
cached_FMIDs.Generator_System_add_ID,
@@ -1152,12 +1164,12 @@ build_java_generator_system(JNIEnv* env, const Generator_System& gs) {
jobject
build_java_grid_generator_system(JNIEnv* env,
- const Grid_Generator_System& gs) {
+ const Grid_Generator_System& gs) {
jobject j_gs = env->NewObject(cached_classes.Grid_Generator_System,
cached_FMIDs.Grid_Generator_System_init_ID);
CHECK_RESULT_THROW(env, j_gs);
for (Grid_Generator_System::const_iterator v_begin = gs.begin(),
- v_end = gs.end(); v_begin != v_end; ++v_begin) {
+ v_end = gs.end(); v_begin != v_end; ++v_begin) {
jobject j_generator = build_java_grid_generator(env, *v_begin);
env->CallBooleanMethod(j_gs,
cached_FMIDs.Grid_Generator_System_add_ID,
@@ -1173,7 +1185,7 @@ build_java_congruence_system(JNIEnv* env, const Congruence_System& cgs) {
cached_FMIDs.Congruence_System_init_ID);
CHECK_RESULT_THROW(env, j_cgs);
for (Congruence_System::const_iterator v_begin = cgs.begin(),
- v_end = cgs.end(); v_begin != v_end; ++v_begin) {
+ v_end = cgs.end(); v_begin != v_end; ++v_begin) {
jobject j_congruence = build_java_congruence(env,*v_begin);
env->CallBooleanMethod(j_cgs,
cached_FMIDs.Congruence_System_add_ID,
@@ -1190,11 +1202,45 @@ build_java_artificial_parameter
jobject j_den = build_java_coeff(env, art.denominator());
jobject ret = env->NewObject(cached_classes.Artificial_Parameter,
cached_FMIDs.Artificial_Parameter_init_ID,
- j_le, j_den);
+ j_le, j_den);
CHECK_RESULT_THROW(env, ret);
return ret;
}
+void
+Java_Variable_output_function(std::ostream& s, Variable v) {
+ // Use cached Java Virtual Machine pointer to retrieve JNI env.
+ JavaVM* jvm = cached_classes.jvm;
+ JNIEnv *env = 0;
+ jvm->AttachCurrentThread((void **)&env, NULL);
+ CHECK_EXCEPTION_ASSERT(env);
+ // Retrieve stringifier object.
+ jclass var_class = cached_classes.Variable;
+ jfieldID fID = cached_FMIDs.Variable_stringifier_ID;
+ jobject stringifier = env->GetStaticObjectField(var_class, fID);
+ CHECK_RESULT_THROW(env, stringifier);
+ // Use it to get the Java string for the variable.
+ jmethodID mID = cached_FMIDs.Variable_Stringifier_stringify_ID;
+#ifndef NDEBUG
+ {
+ // Dynamically retrieve stringifier class and use it to compute
+ // the corresponding method ID, so as to compare it with cached one.
+ jclass dyn_class = env->GetObjectClass(stringifier);
+ jmethodID dyn_mID = env->GetMethodID(dyn_class, "stringify",
+ "(J)Ljava/lang/String;");
+ CHECK_RESULT_ASSERT(env, mID == dyn_mID);
+ }
+#endif // #ifndef NDEBUG
+ jstring bi_string
+ = (jstring) env->CallObjectMethod(stringifier, mID, v.id());
+ CHECK_EXCEPTION_THROW(env);
+ // Convert the string and print it on C++ stream.
+ const char* nativeString = env->GetStringUTFChars(bi_string, 0);
+ CHECK_RESULT_THROW(env, nativeString);
+ s << nativeString;
+ env->ReleaseStringUTFChars(bi_string, nativeString);
+}
+
} // namespace Java
} // namespace Interfaces
diff --git a/interfaces/Java/jni/ppl_java_common.defs.hh b/interfaces/Java/jni/ppl_java_common.defs.hh
deleted file mode 100644
index 990d4f8..0000000
--- a/interfaces/Java/jni/ppl_java_common.defs.hh
+++ /dev/null
@@ -1,883 +0,0 @@
-/* Domain-independent part of the Java interface: declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_java_common_defs_hh
-#define PPL_ppl_java_common_defs_hh 1
-
-#define PPL_NO_AUTOMATIC_INITIALIZATION
-#include "ppl.hh"
-
-#include <jni.h>
-#include "interfaced_boxes.hh"
-#include "marked_pointers.hh"
-
-#define PPL_JAVA_UNEXPECTED \
- throw std::runtime_error("PPL Java interface internal error")
-
-#define CATCH_ALL \
- catch(const Java_ExceptionOccurred& e) { \
- } \
- catch(const std::overflow_error& e) { \
- handle_exception(env, e); \
- } \
- catch(const std::length_error& e) { \
- handle_exception(env, e); \
- } \
- catch (const std::bad_alloc& e) { \
- handle_exception(env, e); \
- } \
- catch (const std::domain_error& e) { \
- handle_exception(env, e); \
- } \
- catch (const std::invalid_argument& e) { \
- handle_exception(env, e); \
- } \
- catch(const std::logic_error& e) { \
- handle_exception(env, e); \
- } \
- catch (const std::exception& e) { \
- handle_exception(env, e); \
- } \
- catch (const timeout_exception& e) { \
- handle_exception(env, e); \
- } \
- catch (const deterministic_timeout_exception& e) { \
- handle_exception(env, e); \
- } \
- catch (...) { \
- handle_exception(env); \
- }
-
-#define CHECK_EXCEPTION_ASSERT(env) \
- assert(!env->ExceptionOccurred())
-#define CHECK_EXCEPTION_THROW(env) \
- do { \
- if (env->ExceptionOccurred()) \
- throw Java_ExceptionOccurred(); \
- } while (0)
-#define CHECK_EXCEPTION_RETURN(env, val) \
- do { \
- if (env->ExceptionOccurred()) \
- return val; \
- } while (0)
-#define CHECK_EXCEPTION_RETURN_VOID(env) \
- do { \
- if (env->ExceptionOccurred()) \
- return; \
- } while (0)
-#define CHECK_RESULT_ABORT(env, cond) \
- do { \
- if (!(cond)) \
- abort(); \
- } while (0)
-#define CHECK_RESULT_ASSERT(env, cond) \
- assert(cond)
-#define CHECK_RESULT_THROW(env, cond) \
- do { \
- if (!(cond)) \
- throw Java_ExceptionOccurred(); \
- } while (0)
-#define CHECK_RESULT_RETURN(env, cond, val) \
- do { \
- if (!(cond)) \
- return val; \
- } while (0)
-#define CHECK_RESULT_RETURN_VOID(env, cond) \
- do { \
- if (!(cond)) \
- return; \
- } while (0)
-
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace Java {
-
-struct Java_ExceptionOccurred : public std::exception {
-};
-
-class timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-class deterministic_timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-extern Parma_Polyhedra_Library::Watchdog* p_timeout_object;
-
-typedef
-Parma_Polyhedra_Library::Threshold_Watcher
-<Parma_Polyhedra_Library::Weightwatch_Traits> Weightwatch;
-
-extern Weightwatch* p_deterministic_timeout_object;
-
-void reset_timeout();
-
-void reset_deterministic_timeout();
-
-void
-handle_exception(JNIEnv* env, const std::logic_error& e);
-
-void
-handle_exception(JNIEnv* env, const std::invalid_argument& e);
-
-void
-handle_exception(JNIEnv* env, const std::domain_error& e);
-
-void
-handle_exception(JNIEnv* env, const std::overflow_error& e);
-
-void
-handle_exception(JNIEnv* env, const std::length_error& e);
-
-void
-handle_exception(JNIEnv* env, const std::bad_alloc&);
-
-void
-handle_exception(JNIEnv* env, const std::exception& e);
-
-void
-handle_exception(JNIEnv* env, const timeout_exception& e);
-
-void
-handle_exception(JNIEnv* env, const deterministic_timeout_exception& e);
-
-void
-handle_exception(JNIEnv* env);
-
-//! A cache for global references to Java classes.
-/*!
- The cache is loaded by \c Parma_Polyhedra_Library.initialize_library();
- It is cleared by \c Parma_Polyhedra_Library.finalize_library().
-*/
-class Java_Class_Cache {
-public:
- // Non-PPL types.
- jclass Boolean;
- jclass Integer;
- jclass Long;
- jclass Iterator;
- // PPL types.
- jclass Artificial_Parameter;
- jclass Artificial_Parameter_Sequence;
- jclass Bounded_Integer_Type_Overflow;
- jclass Bounded_Integer_Type_Representation;
- jclass Bounded_Integer_Type_Width;
- jclass By_Reference;
- jclass Coefficient;
- jclass Congruence;
- jclass Constraint;
- jclass Generator;
- jclass Grid_Generator;
- jclass Generator_Type;
- jclass Grid_Generator_Type;
- jclass Constraint_System;
- jclass Congruence_System;
- jclass Generator_System;
- jclass Grid_Generator_System;
- jclass Linear_Expression;
- jclass Linear_Expression_Coefficient;
- jclass Linear_Expression_Difference;
- jclass Linear_Expression_Sum;
- jclass Linear_Expression_Times;
- jclass Linear_Expression_Unary_Minus;
- jclass Linear_Expression_Variable;
- jclass MIP_Problem_Status;
- jclass Optimization_Mode;
- jclass Pair;
- jclass PIP_Problem_Control_Parameter_Name;
- jclass PIP_Problem_Control_Parameter_Value;
- jclass PIP_Problem_Status;
- jclass Poly_Con_Relation;
- jclass Poly_Gen_Relation;
- jclass PPL_Object;
- jclass Relation_Symbol;
- jclass Variable;
- jclass Variables_Set;
-
- //! Default constructor.
- Java_Class_Cache();
-
- //! Initializes all cache fields.
- void init_cache(JNIEnv* env);
-
- //! Resets all fields to \c NULL.
- void clear_cache(JNIEnv* env);
-
-private:
- //! Sets \p field to a global reference to Java class called \p name.
- void init_cache(JNIEnv* env, jclass& field, const char* name);
-
- //! Resets \p field to \c NULL, deleting the global reference (if any).
- void clear_cache(JNIEnv* env, jclass& field);
-
- // Private and not implemented: copy construction not allowed.
- Java_Class_Cache(const Java_Class_Cache&);
- // Private and not implemented: copy assignment not allowed.
- Java_Class_Cache& operator=(const Java_Class_Cache&);
-};
-
-//! A cache for field and method IDs of Java classes.
-/*!
- The IDs for fields and methods of PPL Java classes are automatically
- by the static initializer of the corresponding Java class.
- The static initializers of some PPL Java class also stores the IDs
- for fields and methods of non-PPL classes (e.g., Boolean, Long, etc.).
-*/
-struct Java_FMID_Cache {
- // Non-PPL type method IDs: stored when loading Coefficient.
- jmethodID Boolean_valueOf_ID;
- jmethodID Boolean_boolValue_ID;
- jmethodID Integer_valueOf_ID;
- jmethodID Integer_intValue_ID;
- jmethodID Long_valueOf_ID;
- jmethodID Long_longValue_ID;
-
- // PPL type field and method IDs.
- // Artificial_Parameter.
- jfieldID Artificial_Parameter_le_ID;
- jfieldID Artificial_Parameter_den_ID;
- jmethodID Artificial_Parameter_init_ID;
- jmethodID Artificial_Parameter_Sequence_init_ID;
- jmethodID Artificial_Parameter_Sequence_add_ID;
- // Bounded_Integer_Type_Overflow.
- jfieldID Bounded_Integer_Type_Overflow_OVERFLOW_WRAPS_ID;
- jfieldID Bounded_Integer_Type_Overflow_OVERFLOW_UNDEFINED_ID;
- jfieldID Bounded_Integer_Type_Overflow_OVERFLOW_IMPOSSIBLE_ID;
- jmethodID Bounded_Integer_Type_Overflow_ordinal_ID;
- // Bounded_Integer_Type_Representation.
- jfieldID Bounded_Integer_Type_Representation_UNSIGNED_ID;
- jfieldID Bounded_Integer_Type_Representation_SIGNED_2_COMPLEMENT_ID;
- jmethodID Bounded_Integer_Type_Representation_ordinal_ID;
- // Bounded_Integer_Type_Width.
- jfieldID Bounded_Integer_Type_Width_BITS_8_ID;
- jfieldID Bounded_Integer_Type_Width_BITS_16_ID;
- jfieldID Bounded_Integer_Type_Width_BITS_32_ID;
- jfieldID Bounded_Integer_Type_Width_BITS_64_ID;
- jfieldID Bounded_Integer_Type_Width_BITS_128_ID;
- jmethodID Bounded_Integer_Type_Width_ordinal_ID;
- // By_Reference.
- jfieldID By_Reference_obj_ID;
- jmethodID By_Reference_init_ID;
- // Coefficient.
- jfieldID Coefficient_value_ID;
- jmethodID Coefficient_init_from_String_ID;
- jmethodID Coefficient_toString_ID;
- // Complexity_Class.
- jmethodID Complexity_Class_ordinal_ID;
- // Congruence.
- jfieldID Congruence_mod_ID;
- jfieldID Congruence_lhs_ID;
- jfieldID Congruence_rhs_ID;
- jmethodID Congruence_init_ID;
- // Constraint.
- jfieldID Constraint_lhs_ID;
- jfieldID Constraint_rhs_ID;
- jfieldID Constraint_kind_ID;
- jmethodID Constraint_init_ID;
- // Degenerate_Element.
- jmethodID Degenerate_Element_ordinal_ID;
- // Generator.
- jfieldID Generator_gt_ID;
- jfieldID Generator_le_ID;
- jfieldID Generator_div_ID;
- jmethodID Generator_line_ID;
- jmethodID Generator_ray_ID;
- jmethodID Generator_point_ID;
- jmethodID Generator_closure_point_ID;
- // Grid_Generator.
- jfieldID Grid_Generator_gt_ID;
- jfieldID Grid_Generator_le_ID;
- jfieldID Grid_Generator_div_ID;
- jmethodID Grid_Generator_grid_line_ID;
- jmethodID Grid_Generator_parameter_ID;
- jmethodID Grid_Generator_grid_point_ID;
- // (Grid_) Generator_Type.
- jmethodID Generator_Type_ordinal_ID;
- jmethodID Grid_Generator_Type_ordinal_ID;
- // Systems of Constraint, Congruence, Generator and Grid_Generator.
- jmethodID Constraint_System_init_ID;
- jmethodID Constraint_System_add_ID;
- jmethodID Congruence_System_init_ID;
- jmethodID Congruence_System_add_ID;
- jmethodID Generator_System_init_ID;
- jmethodID Generator_System_add_ID;
- jmethodID Grid_Generator_System_init_ID;
- jmethodID Grid_Generator_System_add_ID;
- // System_Iterator: stored when loading Constraint_System.
- jmethodID System_iterator_ID;
- jmethodID System_Iterator_has_next_ID;
- jmethodID System_Iterator_next_ID;
- // Linear_Expression.
- jmethodID Linear_Expression_sum_ID;
- jmethodID Linear_Expression_times_ID;
- // Classes extending Linear_Expression.
- jfieldID Linear_Expression_Coefficient_coeff_ID;
- jmethodID Linear_Expression_Coefficient_init_ID;
- jfieldID Linear_Expression_Difference_lhs_ID;
- jfieldID Linear_Expression_Difference_rhs_ID;
- jfieldID Linear_Expression_Sum_lhs_ID;
- jfieldID Linear_Expression_Sum_rhs_ID;
- jfieldID Linear_Expression_Times_coeff_ID;
- jfieldID Linear_Expression_Times_lin_expr_ID;
- jmethodID Linear_Expression_Times_init_from_coeff_var_ID;
- jfieldID Linear_Expression_Unary_Minus_arg_ID;
- jmethodID Linear_Expression_Variable_init_ID;
- jmethodID Linear_Expression_Variable_var_id_ID;
- // MIP_Problem_Status.
- jfieldID MIP_Problem_Status_UNFEASIBLE_MIP_PROBLEM_ID;
- jfieldID MIP_Problem_Status_UNBOUNDED_MIP_PROBLEM_ID;
- jfieldID MIP_Problem_Status_OPTIMIZED_MIP_PROBLEM_ID;
- jmethodID MIP_Problem_Status_ordinal_ID;
- // Optmization_Mode.
- jfieldID Optimization_Mode_MAXIMIZATION_ID;
- jfieldID Optimization_Mode_MINIMIZATION_ID;
- jmethodID Optimization_Mode_ordinal_ID;
- // PIP_Problem_Control_Parameter_Name.
- jfieldID PIP_Problem_Control_Parameter_Name_CUTTING_STRATEGY_ID;
- jfieldID PIP_Problem_Control_Parameter_Name_PIVOT_ROW_STRATEGY;
- jmethodID PIP_Problem_Control_Parameter_Name_ordinal_ID;
- // PIP_Problem_Control_Parameter_Value.
- jfieldID PIP_Problem_Control_Parameter_Value_CUTTING_STRATEGY_FIRST_ID;
- jfieldID PIP_Problem_Control_Parameter_Value_CUTTING_STRATEGY_DEEPEST_ID;
- jfieldID PIP_Problem_Control_Parameter_Value_CUTTING_STRATEGY_ALL_ID;
- jfieldID PIP_Problem_Control_Parameter_Value_PIVOT_ROW_STRATEGY_FIRST_ID;
- jfieldID PIP_Problem_Control_Parameter_Value_PIVOT_ROW_STRATEGY_MAX_COLUMN_ID;
- jmethodID PIP_Problem_Control_Parameter_Value_ordinal_ID;
- // PIP_Problem_Status.
- jfieldID PIP_Problem_Status_UNFEASIBLE_PIP_PROBLEM_ID;
- jfieldID PIP_Problem_Status_OPTIMIZED_PIP_PROBLEM_ID;
- jmethodID PIP_Problem_Status_ordinal_ID;
- // Pair.
- jfieldID Pair_first_ID;
- jfieldID Pair_second_ID;
- // Poly_Con_Relation and Poly_Gen_Relation.
- jmethodID Poly_Con_Relation_init_ID;
- jmethodID Poly_Gen_Relation_init_ID;
- // PPL_Object.
- jfieldID PPL_Object_ptr_ID;
- // Relation_Symbol.
- jfieldID Relation_Symbol_EQUAL_ID;
- jfieldID Relation_Symbol_GREATER_OR_EQUAL_ID;
- jfieldID Relation_Symbol_GREATER_THAN_ID;
- jmethodID Relation_Symbol_ordinal_ID;
- // Variable.
- jfieldID Variable_varid_ID;
- jmethodID Variable_init_ID;
- // Variables_Set.
- jmethodID Variables_Set_init_ID;
- jmethodID Variables_Set_add_ID;
- jmethodID Variables_Set_iterator_ID;
- // Iterators on Variables_Set.
- jmethodID Variables_Set_Iterator_has_next_ID;
- jmethodID Variables_Set_Iterator_next_ID;
-};
-
-//! The cached class references.
-extern Java_Class_Cache cached_classes;
-
-//! The field and method ID cache.
-extern Java_FMID_Cache cached_FMIDs;
-
-
-/*! \brief
- Builds an unsigned C++ number from the Java native number \p value.
-
- \param value
- The Java native number of type V to be converted.
-
- \exception std::invalid_argument
- Thrown if \p value is negative.
-*/
-template <typename U, typename V>
-U
-jtype_to_unsigned(const V& value);
-
-//! Builds a Java Boolean from C++ bool \p value.
-jobject
-bool_to_j_boolean_class(JNIEnv* env, const bool value);
-
-//! Returns the Java int stored in Java Integer \p j_integer.
-jint
-j_integer_to_j_int(JNIEnv* env, jobject j_integer);
-
-//! Builds a Java Integer from Java int \p value.
-jobject
-j_int_to_j_integer(JNIEnv* env, jint value);
-
-//! Returns the Java long stored in Java Long \p j_long.
-jlong
-j_long_class_to_j_long(JNIEnv* env, jobject j_long);
-
-//! Builds a Java Long from Java long \p value.
-jobject
-j_long_to_j_long_class(JNIEnv* env, jlong value);
-
-/*! \brief
- Returns \c true if and only if the Java object \p ppl_object
- refers to a C++ object.
-*/
-bool
-is_java_marked(JNIEnv* env, jobject ppl_object);
-
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Poly_Gen_Relation
- from C++ Poly_Gen_Relation \p r.
-*/
-jobject
-build_java_poly_gen_relation(JNIEnv* env, Poly_Gen_Relation& r);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Poly_Con_Relation
- from C++ Poly_Con_Relation \p r.
-*/
-jobject
-build_java_poly_con_relation(JNIEnv* env, Poly_Con_Relation& r);
-
-/*! \brief
- Builds a C++ Variables_Set
- from Java parma_polyhedra_library::Variables_Set \p v_set.
-*/
-Variables_Set
-build_cxx_variables_set(JNIEnv* env, jobject v_set);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Variables_Set
- from C++ Variables_Set \p v_set.
-*/
-jobject
-build_java_variables_set(JNIEnv* env, const Variables_Set& v_set);
-
-/*! \brief
- Builds a C++ Relation_Symbol
- from Java parma_polyhedra_library::Relation_Symbol \p j_relsym.
-*/
-Relation_Symbol
-build_cxx_relsym(JNIEnv* env, jobject j_relsym);
-
-/*! \brief
- Builds a C++ Bounded_Integer_Type_Overflow
- from Java parma_polyhedra_library::Bounded_Integer_Type_Overflow
- \p j_bounded_overflow.
-*/
-Bounded_Integer_Type_Overflow
-build_cxx_bounded_overflow(JNIEnv* env, jobject j_bounded_overflow);
-
-/*! \brief
- Builds a C++ Bounded_Integer_Type_Width
- from Java parma_polyhedra_library::Bounded_Integer_Type_Width
- \p j_bounded_width.
-*/
-Bounded_Integer_Type_Width
-build_cxx_bounded_width(JNIEnv* env, jobject j_bounded_width);
-
-/*! \brief
- Builds a C++ Bounded_Integer_Type_Representation
- from Java parma_polyhedra_library::Bounded_Integer_Type_Representation
- \p j_bounded_rep.
-*/
-Bounded_Integer_Type_Representation
-build_cxx_bounded_rep(JNIEnv* env, jobject j_bounded_rep);
-
-/*! \brief
- Builds a C++ Optimization_Mode
- from Java parma_polyhedra_library::Optimization_Mode \p j_opt_mode.
-*/
-Optimization_Mode
-build_cxx_optimization_mode(JNIEnv* env, jobject j_opt_mode);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Optimization_Mode
- from C++ Optimization_Mode \p opt_mode.
-*/
-jobject
-build_java_optimization_mode(JNIEnv* env, const Optimization_Mode& opt_mode);
-
-/*! \brief
- Builds a C++ MIP_Problem::Control_Parameter_Name
- from Java parma_polyhedra_library::Control_Parameter_Name \p j_cp_name.
-*/
-MIP_Problem::Control_Parameter_Name
-build_cxx_control_parameter_name(JNIEnv* env, jobject j_cp_name);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Control_Parameter_Name
- from C++ MIP_Problem::Control_Parameter_Name \p cp_name.
-*/
-jobject
-build_java_control_parameter_name
-(JNIEnv* env, const MIP_Problem::Control_Parameter_Name& cp_name);
-
-/*! \brief
- Builds a C++ MIP_Problem::Control_Parameter_Value
- from Java parma_polyhedra_library::Control_Parameter_Value \p j_cp_value.
-*/
-MIP_Problem::Control_Parameter_Value
-build_cxx_control_parameter_value(JNIEnv* env, jobject j_cp_value);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Control_Parameter_Value
- from C++ MIP_Problem::Control_Parameter_Value \p cp_value.
-*/
-jobject
-build_java_control_parameter_value
-(JNIEnv* env, const MIP_Problem::Control_Parameter_Value& cp_value);
-
-/*! \brief
- Builds a C++ PIP_Problem::Control_Parameter_Name
- from Java parma_polyhedra_library::PIP_Problem_Control_Parameter_Name
- \p j_cp_name.
-*/
-PIP_Problem::Control_Parameter_Name
-build_cxx_pip_problem_control_parameter_name(JNIEnv* env, jobject j_cp_name);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::PIP_Problem_Control_Parameter_Name
- from C++ PIP_Problem::Control_Parameter_Name \p cp_name.
-*/
-jobject
-build_java_pip_problem_control_parameter_name
-(JNIEnv* env, const PIP_Problem::Control_Parameter_Name& cp_name);
-
-/*! \brief
- Builds a C++ PIP_Problem::Control_Parameter_Value
- from Java parma_polyhedra_library::PIP_Problem_Control_Parameter_Value
- \p j_cp_value.
-*/
-PIP_Problem::Control_Parameter_Value
-build_cxx_pip_problem_control_parameter_value(JNIEnv* env, jobject j_cp_value);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Control_Parameter_Value
- from C++ PIP_Problem::Control_Parameter_Value \p cp_value.
-*/
-jobject
-build_java_pip_problem_control_parameter_value
-(JNIEnv* env, const PIP_Problem::Control_Parameter_Value& cp_value);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::MIP_Problem_Status
- from C++ MIP_Problem_Status \p mip_status.
-*/
-jobject
-build_java_mip_status(JNIEnv* env, const MIP_Problem_Status& mip_status);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::PIP_Problem_Status
- from C++ PIP_Problem_Status \p pip_status.
-*/
-jobject
-build_java_pip_status(JNIEnv* env, const PIP_Problem_Status& pip_status);
-
-/*! \brief
- Builds a C++ Variable
- from Java parma_polyhedra_library::Variable \p j_var.
-*/
-Variable
-build_cxx_variable(JNIEnv* env, jobject j_var);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Variable
- from C++ Variable \p var.
-*/
-jobject
-build_java_variable(JNIEnv* env, const Variable var);
-
-/*! \brief
- Builds a C++ Coefficient
- from Java parma_polyhedra_library::Coefficient \p j_coeff.
-*/
-Coefficient
-build_cxx_coeff(JNIEnv* env, jobject j_coeff);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Coefficient
- from C++ Coefficient \p ppl_coeff.
-*/
-jobject
-build_java_coeff(JNIEnv* env, const Coefficient& ppl_coeff);
-
-/*! \brief
- Builds a C++ Constraint
- from Java parma_polyhedra_library::Constraint \p j_constraint.
-*/
-Constraint
-build_cxx_constraint(JNIEnv* env, jobject j_constraint);
-
-/*! \brief
- Builds a C++ Artificial_Parameter
- from Java parma_polyhedra_library::Artificial_Parameter
- \p j_artificial_parameter.
-*/
-PIP_Tree_Node::Artificial_Parameter
-build_cxx_artificial_parameter(JNIEnv* env, jobject j_ap);
-
-/*! \brief
- Builds a C++ Linear_Expression
- from Java parma_polyhedra_library::Linear_Expression \p j_le.
-*/
-Linear_Expression
-build_cxx_linear_expression(JNIEnv* env, jobject j_le);
-
-/*! \brief
- Builds a C++ Congruence
- from Java parma_polyhedra_library::Congruence \p j_cg.
-*/
-Congruence
-build_cxx_congruence(JNIEnv* env, jobject j_cg);
-
-/*! \brief
- Builds a C++ Generator
- from Java parma_polyhedra_library::Generator \p j_g.
-*/
-Generator
-build_cxx_generator(JNIEnv* env, jobject j_g);
-
-/*! \brief
- Builds a C++ Grid_Generator
- from Java parma_polyhedra_library::Grid_Generator \p j_g.
-*/
-Grid_Generator
-build_cxx_grid_generator(JNIEnv* env, jobject j_g);
-
-/*! \brief
- Builds a C++ Grid_Generator_System
- from Java parma_polyhedra_library::Grid_Generator_System \p j_gs.
-*/
-Grid_Generator_System
-build_cxx_grid_generator_system(JNIEnv* env, jobject j_gs);
-
-/*! \brief
- Builds a C++ Constraint_System
- from Java parma_polyhedra_library::Constraint_System \p j_cs.
-*/
-Constraint_System
-build_cxx_constraint_system(JNIEnv* env, jobject j_cs);
-
-/*! \brief
- Builds a C++ Artificial_Parameter
- from Java parma_polyhedra_library::Artificial_Parameter \p j_art_param.
-*/
-PIP_Tree_Node::Artificial_Parameter
-build_cxx_artificial_parameter(JNIEnv* env, jobject j_art_param);
-
-/*! \brief
- Builds a C++ Artificial_Parameter_Sequence
- from Java parma_polyhedra_library::Artificial_Parameter_Sequence \p j_aps.
-*/
-PIP_Tree_Node::Artificial_Parameter_Sequence
-build_cxx_artificial_parameter_sequence(JNIEnv* env, jobject j_aps);
-
-/*! \brief
- Builds a C++ Generator_System
- from Java parma_polyhedra_library::Generator_System \p j_gs.
-*/
-Generator_System
-build_cxx_generator_system(JNIEnv* env, jobject j_gs);
-
-/*! \brief
- Builds a C++ Congruence_System
- from Java parma_polyhedra_library::Congruence_System \p j_cgs.
-*/
-Congruence_System
-build_cxx_congruence_system(JNIEnv* env, jobject j_cgs);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Constraint
- from C++ Constraint \p c.
-*/
-jobject
-build_java_constraint(JNIEnv* env, const Constraint& c);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Artificial_Parameter
- from C++ Artificial_Parameter \p ap.
-*/
-jobject
-build_java_artificial_parameter(JNIEnv* env,
- const PIP_Tree_Node::Artificial_Parameter& ap);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Congruence
- from C++ Congruence \p cg.
-*/
-jobject
-build_java_congruence(JNIEnv* env, const Congruence& cg);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Generator
- from C++ Generator \p g.
-*/
-jobject
-build_java_generator(JNIEnv* env, const Generator& g);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Grid_Generator
- from C++ Grid_Generator \p g.
-*/
-jobject
-build_java_grid_generator(JNIEnv* env, const Grid_Generator& g);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Constraint_System
- from C++ Constraint_System \p cs.
-*/
-jobject
-build_java_constraint_system(JNIEnv* env, const Constraint_System& cs);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Artificial_Parameter_Sequence
- from C++ Artificial_Parameter_Sequence \p aps.
-*/
-jobject
-build_java_artificial_parameter_sequence
-(JNIEnv* env, const PIP_Tree_Node::Artificial_Parameter_Sequence& aps);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Grid_Generator_System
- from C++ Grid_Generator_System \p gs.
-*/
-jobject
-build_java_grid_generator_system(JNIEnv* env, const Grid_Generator_System& gs);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Generator_System
- from C++ Generator_System \p gs.
-*/
-jobject
-build_java_generator_system(JNIEnv* env, const Generator_System& gs);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Congruence_System
- from C++ Congruence_System \p cgs.
-*/
-jobject
-build_java_congruence_system(JNIEnv* env, const Congruence_System& cgs);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Linear_Expression_Coefficient
- from C++ Coefficient \p coeff.
-*/
-jobject
-build_java_linear_expression_coefficient(JNIEnv* env, const Coefficient& coeff);
-
-/*! \brief
- Sets Java parma_polyhedra_library::Generator \p dst
- to have the same value as \p src.
-*/
-void
-set_generator(JNIEnv* env, jobject dst, jobject src);
-
-/*! \brief
- Sets Java Coefficient \p dst to have the same value as \p src.
-*/
-void
-set_coefficient(JNIEnv* env, jobject dst, jobject src);
-
-/*! \brief
- Modifies parma_polyhedra_library::By_Reference object \p by_ref_dst
- so that it references object \p src.
-*/
-void
-set_by_reference(JNIEnv* env, jobject by_ref_dst, jobject src);
-
-/*! \brief
- Returns the object referenced by
- parma_polyhedra_library::By_Reference object \p by_reference.
-*/
-jobject
-get_by_reference(JNIEnv* env, jobject by_reference);
-
-
-/*! \brief
- Assigns \p src to one of the fields of
- parma_polyhedra_library::Pair object \p dst_pair.
-
- If \p arg is 0, the first element of \p dst_pair is overwritten;
- if \p arg is 1, the second element of \p dst_pair is overwritten.
-
- \exception std::runtime_error
- Thrown if \p arg is neither 0 nor 1.
-*/
-void
-set_pair_element(JNIEnv* env, jobject dst_pair, int arg, jobject src);
-
-/*! \brief
- Returns one of the fields of the
- parma_polyhedra_library::Pair object \p pair.
-
- If \p arg is 0, the first element of \p pair is returned;
- if \p arg is 1, the second element of \p pair is returned.
-
- \exception std::runtime_error
- Thrown if \p arg is neither 0 nor 1.
-*/
-jobject
-get_pair_element(JNIEnv* env, int arg, jobject pair);
-
-//! Returns a pointer to the C++ object wrapped by \p ppl_object.
-void*
-get_ptr(JNIEnv* env, jobject ppl_object);
-
-//! Sets the pointer of the underlying C++ object in the Java object.
-template <typename T>
-void
-set_ptr(JNIEnv* env, jobject ppl_object,
- const T* address, bool to_be_marked = false);
-
-/*! \brief
- Builds a Java parma_polyhedra_library::Linear_Expression
- from the C++ constraint/congruence \p r.
-*/
-template <typename R>
-jobject
-build_linear_expression(JNIEnv* env, const R& r);
-
-} // namespace Java
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-
-#include "ppl_java_common.inlines.hh"
-
-#endif // !defined(PPL_ppl_prolog_common_defs_hh)
diff --git a/interfaces/Java/jni/ppl_java_common.inlines.hh b/interfaces/Java/jni/ppl_java_common.inlines.hh
deleted file mode 100644
index aab7cc1..0000000
--- a/interfaces/Java/jni/ppl_java_common.inlines.hh
+++ /dev/null
@@ -1,245 +0,0 @@
-/* Domain-independent part of the Java interface: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_java_common_inlines_hh
-#define PPL_ppl_java_common_inlines_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace Java {
-
-template <typename U, typename V>
-U
-jtype_to_unsigned(const V& value) {
- if (value < 0)
- throw std::invalid_argument("not an unsigned integer.");
-
- if (sizeof(U) < sizeof(V)) {
- if (value > static_cast<V>(std::numeric_limits<U>::max()))
- throw std::invalid_argument("unsigned integer out of range.");
- }
-
- return value;
-}
-
-template <typename T>
-inline void
-set_ptr(JNIEnv* env, jobject ppl_object,
- const T* address, bool to_be_marked) {
- const T* ptr = (to_be_marked ? mark(address) : address);
- jlong pointer_value = reinterpret_cast<jlong>(ptr);
- assert(reinterpret_cast<const T*>(pointer_value) == ptr);
- env->SetLongField(ppl_object, cached_FMIDs.PPL_Object_ptr_ID, pointer_value);
-}
-
-inline void*
-get_ptr(JNIEnv* env, jobject ppl_object) {
- jlong pointer_value
- = env->GetLongField(ppl_object, cached_FMIDs.PPL_Object_ptr_ID);
- void* ptr = reinterpret_cast<void*>(pointer_value);
- assert(reinterpret_cast<jlong>(ptr) == pointer_value);
- return unmark(ptr);
-}
-
-inline bool
-is_java_marked(JNIEnv* env, jobject ppl_object) {
- jlong pointer_value
- = env->GetLongField(ppl_object, cached_FMIDs.PPL_Object_ptr_ID);
- const void* ptr = reinterpret_cast<const void*>(pointer_value);
- assert(reinterpret_cast<jlong>(ptr) == pointer_value);
- return marked(ptr);
-}
-
-inline void
-set_coefficient(JNIEnv* env, jobject dst, jobject src) {
- jobject src_bi
- = env->GetObjectField(src, cached_FMIDs.Coefficient_value_ID);
- env->SetObjectField(dst, cached_FMIDs.Coefficient_value_ID, src_bi);
-}
-
-inline void
-set_by_reference(JNIEnv* env, jobject by_ref_dst, jobject src) {
- env->SetObjectField(by_ref_dst,
- cached_FMIDs.By_Reference_obj_ID,
- src);
-}
-
-inline jobject
-get_by_reference(JNIEnv* env, jobject by_reference) {
- return env->GetObjectField(by_reference, cached_FMIDs.By_Reference_obj_ID);
-}
-
-template <typename R>
-jobject
-build_linear_expression(JNIEnv* env, const R& r) {
- jobject j_ret;
- PPL_DIRTY_TEMP_COEFFICIENT(coefficient);
- dimension_type varid = 0;
- dimension_type space_dimension = r.space_dimension();
- while (varid < space_dimension
- && (coefficient = r.coefficient(Variable(varid))) == 0)
- ++varid;
- if (varid >= space_dimension) {
- jobject j_coefficient_zero = build_java_coeff(env, Coefficient(0));
- j_ret = env->NewObject(cached_classes.Linear_Expression_Coefficient,
- cached_FMIDs.Linear_Expression_Coefficient_init_ID,
- j_coefficient_zero);
- CHECK_RESULT_THROW(env, j_ret);
- }
- else {
- jmethodID coeff_var_init_ID
- = cached_FMIDs.Linear_Expression_Times_init_from_coeff_var_ID;
- jobject j_coefficient = build_java_coeff(env, coefficient);
- jobject j_variable = build_java_variable(env, Variable(varid));
- jclass j_le_times_class = cached_classes.Linear_Expression_Times;
- jobject j_coeff_var = env->NewObject(j_le_times_class,
- coeff_var_init_ID,
- j_coefficient, j_variable);
- CHECK_EXCEPTION_THROW(env);
- j_ret = j_coeff_var;
- while (true) {
- ++varid;
- while (varid < space_dimension
- && (coefficient = r.coefficient(Variable(varid))) == 0)
- ++varid;
- if (varid >= space_dimension)
- break;
- else {
- j_coefficient = build_java_coeff(env, coefficient);
- j_variable = build_java_variable(env, Variable(varid));
- j_coeff_var = env->NewObject(j_le_times_class,
- coeff_var_init_ID,
- j_coefficient, j_variable);
- CHECK_EXCEPTION_THROW(env);
- j_ret = env->CallObjectMethod(j_ret,
- cached_FMIDs.Linear_Expression_sum_ID,
- j_coeff_var);
- CHECK_EXCEPTION_THROW(env);
- }
- }
- }
- return j_ret;
-}
-
-inline Variable
-build_cxx_variable(JNIEnv* env, jobject j_var) {
- return Variable(env->GetIntField(j_var, cached_FMIDs.Variable_varid_ID));
-}
-
-inline jobject
-build_java_variable(JNIEnv* env, const Variable var) {
- jobject ret = env->NewObject(cached_classes.Variable,
- cached_FMIDs.Variable_init_ID,
- var.id());
- CHECK_RESULT_THROW(env, ret);
- return ret;
-}
-
-inline Coefficient
-build_cxx_coeff(JNIEnv* env, jobject j_coeff) {
- jstring bi_string
- = (jstring) env->CallObjectMethod(j_coeff,
- cached_FMIDs.Coefficient_toString_ID);
- CHECK_EXCEPTION_THROW(env);
- const char *nativeString = env->GetStringUTFChars(bi_string, 0);
- CHECK_RESULT_THROW(env, nativeString);
- PPL_DIRTY_TEMP_COEFFICIENT(ppl_coeff);
- ppl_coeff = Coefficient(nativeString);
- env->ReleaseStringUTFChars(bi_string, nativeString);
- return ppl_coeff;
-}
-
-inline jobject
-build_java_coeff(JNIEnv* env, const Coefficient& ppl_coeff) {
- std::ostringstream s;
- s << ppl_coeff;
- std::string str = s.str();
- jstring coeff_string = env->NewStringUTF(str.c_str());
- CHECK_RESULT_THROW(env, coeff_string);
- jobject ret = env->NewObject(cached_classes.Coefficient,
- cached_FMIDs.Coefficient_init_from_String_ID,
- coeff_string);
- CHECK_RESULT_THROW(env, ret);
- return ret;
-}
-
-template <typename System, typename Elem_Builder>
-System
-build_cxx_system(JNIEnv* env, jobject j_iterable, Elem_Builder build_cxx_elem) {
- // Get the iterator.
- jobject j_iter
- = env->CallObjectMethod(j_iterable, cached_FMIDs.System_iterator_ID);
- CHECK_EXCEPTION_THROW(env);
- // Get the iterator method IDs.
- jmethodID has_next_mID = cached_FMIDs.System_Iterator_has_next_ID;
- jmethodID next_mID = cached_FMIDs.System_Iterator_next_ID;
- // Initialize an empty system.
- System cxx_sys;
- jobject j_element;
- jboolean has_next_value = env->CallBooleanMethod(j_iter, has_next_mID);
- CHECK_EXCEPTION_ASSERT(env);
- while (has_next_value) {
- j_element = env->CallObjectMethod(j_iter, next_mID);
- CHECK_EXCEPTION_ASSERT(env);
- cxx_sys.insert(build_cxx_elem(env, j_element));
- has_next_value = env->CallBooleanMethod(j_iter, has_next_mID);
- CHECK_EXCEPTION_ASSERT(env);
- }
- return cxx_sys;
-}
-
-inline Congruence_System
-build_cxx_congruence_system(JNIEnv* env, jobject j_iterable) {
- return
- build_cxx_system<Congruence_System>(env, j_iterable, build_cxx_congruence);
-}
-
-inline Constraint_System
-build_cxx_constraint_system(JNIEnv* env, jobject j_iterable) {
- return
- build_cxx_system<Constraint_System>(env, j_iterable, build_cxx_constraint);
-}
-
-inline Generator_System
-build_cxx_generator_system(JNIEnv* env, jobject j_iterable) {
- return
- build_cxx_system<Generator_System>(env, j_iterable, build_cxx_generator);
-}
-
-inline Grid_Generator_System
-build_cxx_grid_generator_system(JNIEnv* env, jobject j_iterable) {
- return build_cxx_system<Grid_Generator_System> (env, j_iterable,
- build_cxx_grid_generator);
-}
-
-} // namespace Java
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_ppl_java_common_inlines_hh)
diff --git a/interfaces/Java/jni/ppl_java_common_defs.hh b/interfaces/Java/jni/ppl_java_common_defs.hh
new file mode 100644
index 0000000..fb33500
--- /dev/null
+++ b/interfaces/Java/jni/ppl_java_common_defs.hh
@@ -0,0 +1,899 @@
+/* Domain-independent part of the Java interface: declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_java_common_defs_hh
+#define PPL_ppl_java_common_defs_hh 1
+
+#define PPL_NO_AUTOMATIC_INITIALIZATION
+#include "ppl.hh"
+
+#include <jni.h>
+#include "interfaced_boxes.hh"
+#include "marked_pointers.hh"
+
+#define PPL_JAVA_UNEXPECTED \
+ throw std::runtime_error("PPL Java interface internal error")
+
+#define CATCH_ALL \
+ catch(const Java_ExceptionOccurred& e) { \
+ } \
+ catch(const std::overflow_error& e) { \
+ handle_exception(env, e); \
+ } \
+ catch(const std::length_error& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (const std::bad_alloc& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (const std::domain_error& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (const std::invalid_argument& e) { \
+ handle_exception(env, e); \
+ } \
+ catch(const std::logic_error& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (const std::exception& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (const timeout_exception& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (const deterministic_timeout_exception& e) { \
+ handle_exception(env, e); \
+ } \
+ catch (...) { \
+ handle_exception(env); \
+ }
+
+#define CHECK_EXCEPTION_ASSERT(env) \
+ assert(!env->ExceptionOccurred())
+#define CHECK_EXCEPTION_THROW(env) \
+ do { \
+ if (env->ExceptionOccurred()) \
+ throw Java_ExceptionOccurred(); \
+ } while (0)
+#define CHECK_EXCEPTION_RETURN(env, val) \
+ do { \
+ if (env->ExceptionOccurred()) \
+ return val; \
+ } while (0)
+#define CHECK_EXCEPTION_RETURN_VOID(env) \
+ do { \
+ if (env->ExceptionOccurred()) \
+ return; \
+ } while (0)
+#define CHECK_RESULT_ABORT(env, cond) \
+ do { \
+ if (!(cond)) \
+ abort(); \
+ } while (0)
+#define CHECK_RESULT_ASSERT(env, cond) \
+ assert(cond)
+#define CHECK_RESULT_THROW(env, cond) \
+ do { \
+ if (!(cond)) \
+ throw Java_ExceptionOccurred(); \
+ } while (0)
+#define CHECK_RESULT_RETURN(env, cond, val) \
+ do { \
+ if (!(cond)) \
+ return val; \
+ } while (0)
+#define CHECK_RESULT_RETURN_VOID(env, cond) \
+ do { \
+ if (!(cond)) \
+ return; \
+ } while (0)
+
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace Java {
+
+struct Java_ExceptionOccurred : public std::exception {
+};
+
+class timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+class deterministic_timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+extern Parma_Polyhedra_Library::Watchdog* p_timeout_object;
+
+typedef
+Parma_Polyhedra_Library::Threshold_Watcher
+<Parma_Polyhedra_Library::Weightwatch_Traits> Weightwatch;
+
+extern Weightwatch* p_deterministic_timeout_object;
+
+void reset_timeout();
+
+void reset_deterministic_timeout();
+
+void
+handle_exception(JNIEnv* env, const std::logic_error& e);
+
+void
+handle_exception(JNIEnv* env, const std::invalid_argument& e);
+
+void
+handle_exception(JNIEnv* env, const std::domain_error& e);
+
+void
+handle_exception(JNIEnv* env, const std::overflow_error& e);
+
+void
+handle_exception(JNIEnv* env, const std::length_error& e);
+
+void
+handle_exception(JNIEnv* env, const std::bad_alloc&);
+
+void
+handle_exception(JNIEnv* env, const std::exception& e);
+
+void
+handle_exception(JNIEnv* env, const timeout_exception& e);
+
+void
+handle_exception(JNIEnv* env, const deterministic_timeout_exception& e);
+
+void
+handle_exception(JNIEnv* env);
+
+//! A cache for global references to Java classes.
+/*!
+ The cache is loaded by \c Parma_Polyhedra_Library.initialize_library();
+ It is cleared by \c Parma_Polyhedra_Library.finalize_library().
+*/
+class Java_Class_Cache {
+public:
+ // The Java VM pointer (not a class, but sometimes needed).
+ JavaVM* jvm;
+ // Non-PPL types.
+ jclass Boolean;
+ jclass Integer;
+ jclass Long;
+ jclass Iterator;
+ // PPL types.
+ jclass Artificial_Parameter;
+ jclass Artificial_Parameter_Sequence;
+ jclass Bounded_Integer_Type_Overflow;
+ jclass Bounded_Integer_Type_Representation;
+ jclass Bounded_Integer_Type_Width;
+ jclass By_Reference;
+ jclass Coefficient;
+ jclass Congruence;
+ jclass Constraint;
+ jclass Generator;
+ jclass Grid_Generator;
+ jclass Generator_Type;
+ jclass Grid_Generator_Type;
+ jclass Constraint_System;
+ jclass Congruence_System;
+ jclass Generator_System;
+ jclass Grid_Generator_System;
+ jclass Linear_Expression;
+ jclass Linear_Expression_Coefficient;
+ jclass Linear_Expression_Difference;
+ jclass Linear_Expression_Sum;
+ jclass Linear_Expression_Times;
+ jclass Linear_Expression_Unary_Minus;
+ jclass Linear_Expression_Variable;
+ jclass MIP_Problem_Status;
+ jclass Optimization_Mode;
+ jclass Pair;
+ jclass PIP_Problem_Control_Parameter_Name;
+ jclass PIP_Problem_Control_Parameter_Value;
+ jclass PIP_Problem_Status;
+ jclass Poly_Con_Relation;
+ jclass Poly_Gen_Relation;
+ jclass PPL_Object;
+ jclass Relation_Symbol;
+ jclass Variable;
+ jclass Variable_Stringifier;
+ jclass Variables_Set;
+
+ //! Default constructor.
+ Java_Class_Cache();
+
+ //! Initializes all cache fields.
+ void init_cache(JNIEnv* env);
+
+ //! Resets all fields to \c NULL.
+ void clear_cache(JNIEnv* env);
+
+private:
+ //! Sets \p field to a global reference to Java class called \p name.
+ void init_cache(JNIEnv* env, jclass& field, const char* name);
+
+ //! Resets \p field to \c NULL, deleting the global reference (if any).
+ void clear_cache(JNIEnv* env, jclass& field);
+
+ // Private and not implemented: copy construction not allowed.
+ Java_Class_Cache(const Java_Class_Cache&);
+ // Private and not implemented: copy assignment not allowed.
+ Java_Class_Cache& operator=(const Java_Class_Cache&);
+};
+
+//! A cache for field and method IDs of Java classes.
+/*!
+ The IDs for fields and methods of PPL Java classes are automatically
+ by the static initializer of the corresponding Java class.
+ The static initializers of some PPL Java class also stores the IDs
+ for fields and methods of non-PPL classes (e.g., Boolean, Long, etc.).
+*/
+struct Java_FMID_Cache {
+ // Non-PPL type method IDs: stored when loading Coefficient.
+ jmethodID Boolean_valueOf_ID;
+ jmethodID Boolean_boolValue_ID;
+ jmethodID Integer_valueOf_ID;
+ jmethodID Integer_intValue_ID;
+ jmethodID Long_valueOf_ID;
+ jmethodID Long_longValue_ID;
+
+ // PPL type field and method IDs.
+ // Artificial_Parameter.
+ jfieldID Artificial_Parameter_le_ID;
+ jfieldID Artificial_Parameter_den_ID;
+ jmethodID Artificial_Parameter_init_ID;
+ jmethodID Artificial_Parameter_Sequence_init_ID;
+ jmethodID Artificial_Parameter_Sequence_add_ID;
+ // Bounded_Integer_Type_Overflow.
+ jfieldID Bounded_Integer_Type_Overflow_OVERFLOW_WRAPS_ID;
+ jfieldID Bounded_Integer_Type_Overflow_OVERFLOW_UNDEFINED_ID;
+ jfieldID Bounded_Integer_Type_Overflow_OVERFLOW_IMPOSSIBLE_ID;
+ jmethodID Bounded_Integer_Type_Overflow_ordinal_ID;
+ // Bounded_Integer_Type_Representation.
+ jfieldID Bounded_Integer_Type_Representation_UNSIGNED_ID;
+ jfieldID Bounded_Integer_Type_Representation_SIGNED_2_COMPLEMENT_ID;
+ jmethodID Bounded_Integer_Type_Representation_ordinal_ID;
+ // Bounded_Integer_Type_Width.
+ jfieldID Bounded_Integer_Type_Width_BITS_8_ID;
+ jfieldID Bounded_Integer_Type_Width_BITS_16_ID;
+ jfieldID Bounded_Integer_Type_Width_BITS_32_ID;
+ jfieldID Bounded_Integer_Type_Width_BITS_64_ID;
+ jfieldID Bounded_Integer_Type_Width_BITS_128_ID;
+ jmethodID Bounded_Integer_Type_Width_ordinal_ID;
+ // By_Reference.
+ jfieldID By_Reference_obj_ID;
+ jmethodID By_Reference_init_ID;
+ // Coefficient.
+ jfieldID Coefficient_value_ID;
+ jmethodID Coefficient_init_from_String_ID;
+ jmethodID Coefficient_toString_ID;
+ // Complexity_Class.
+ jmethodID Complexity_Class_ordinal_ID;
+ // Congruence.
+ jfieldID Congruence_mod_ID;
+ jfieldID Congruence_lhs_ID;
+ jfieldID Congruence_rhs_ID;
+ jmethodID Congruence_init_ID;
+ // Constraint.
+ jfieldID Constraint_lhs_ID;
+ jfieldID Constraint_rhs_ID;
+ jfieldID Constraint_kind_ID;
+ jmethodID Constraint_init_ID;
+ // Degenerate_Element.
+ jmethodID Degenerate_Element_ordinal_ID;
+ // Generator.
+ jfieldID Generator_gt_ID;
+ jfieldID Generator_le_ID;
+ jfieldID Generator_div_ID;
+ jmethodID Generator_line_ID;
+ jmethodID Generator_ray_ID;
+ jmethodID Generator_point_ID;
+ jmethodID Generator_closure_point_ID;
+ // Grid_Generator.
+ jfieldID Grid_Generator_gt_ID;
+ jfieldID Grid_Generator_le_ID;
+ jfieldID Grid_Generator_div_ID;
+ jmethodID Grid_Generator_grid_line_ID;
+ jmethodID Grid_Generator_parameter_ID;
+ jmethodID Grid_Generator_grid_point_ID;
+ // (Grid_) Generator_Type.
+ jmethodID Generator_Type_ordinal_ID;
+ jmethodID Grid_Generator_Type_ordinal_ID;
+ // Systems of Constraint, Congruence, Generator and Grid_Generator.
+ jmethodID Constraint_System_init_ID;
+ jmethodID Constraint_System_add_ID;
+ jmethodID Congruence_System_init_ID;
+ jmethodID Congruence_System_add_ID;
+ jmethodID Generator_System_init_ID;
+ jmethodID Generator_System_add_ID;
+ jmethodID Grid_Generator_System_init_ID;
+ jmethodID Grid_Generator_System_add_ID;
+ // System_Iterator: stored when loading Constraint_System.
+ jmethodID System_iterator_ID;
+ jmethodID System_Iterator_has_next_ID;
+ jmethodID System_Iterator_next_ID;
+ // Linear_Expression.
+ jmethodID Linear_Expression_sum_ID;
+ jmethodID Linear_Expression_times_ID;
+ // Classes extending Linear_Expression.
+ jfieldID Linear_Expression_Coefficient_coeff_ID;
+ jmethodID Linear_Expression_Coefficient_init_ID;
+ jfieldID Linear_Expression_Difference_lhs_ID;
+ jfieldID Linear_Expression_Difference_rhs_ID;
+ jfieldID Linear_Expression_Sum_lhs_ID;
+ jfieldID Linear_Expression_Sum_rhs_ID;
+ jfieldID Linear_Expression_Times_coeff_ID;
+ jfieldID Linear_Expression_Times_lin_expr_ID;
+ jmethodID Linear_Expression_Times_init_from_coeff_var_ID;
+ jfieldID Linear_Expression_Unary_Minus_arg_ID;
+ jmethodID Linear_Expression_Variable_init_ID;
+ jmethodID Linear_Expression_Variable_var_id_ID;
+ // MIP_Problem_Status.
+ jfieldID MIP_Problem_Status_UNFEASIBLE_MIP_PROBLEM_ID;
+ jfieldID MIP_Problem_Status_UNBOUNDED_MIP_PROBLEM_ID;
+ jfieldID MIP_Problem_Status_OPTIMIZED_MIP_PROBLEM_ID;
+ jmethodID MIP_Problem_Status_ordinal_ID;
+ // Optmization_Mode.
+ jfieldID Optimization_Mode_MAXIMIZATION_ID;
+ jfieldID Optimization_Mode_MINIMIZATION_ID;
+ jmethodID Optimization_Mode_ordinal_ID;
+ // PIP_Problem_Control_Parameter_Name.
+ jfieldID PIP_Problem_Control_Parameter_Name_CUTTING_STRATEGY_ID;
+ jfieldID PIP_Problem_Control_Parameter_Name_PIVOT_ROW_STRATEGY;
+ jmethodID PIP_Problem_Control_Parameter_Name_ordinal_ID;
+ // PIP_Problem_Control_Parameter_Value.
+ jfieldID PIP_Problem_Control_Parameter_Value_CUTTING_STRATEGY_FIRST_ID;
+ jfieldID PIP_Problem_Control_Parameter_Value_CUTTING_STRATEGY_DEEPEST_ID;
+ jfieldID PIP_Problem_Control_Parameter_Value_CUTTING_STRATEGY_ALL_ID;
+ jfieldID PIP_Problem_Control_Parameter_Value_PIVOT_ROW_STRATEGY_FIRST_ID;
+ jfieldID PIP_Problem_Control_Parameter_Value_PIVOT_ROW_STRATEGY_MAX_COLUMN_ID;
+ jmethodID PIP_Problem_Control_Parameter_Value_ordinal_ID;
+ // PIP_Problem_Status.
+ jfieldID PIP_Problem_Status_UNFEASIBLE_PIP_PROBLEM_ID;
+ jfieldID PIP_Problem_Status_OPTIMIZED_PIP_PROBLEM_ID;
+ jmethodID PIP_Problem_Status_ordinal_ID;
+ // Pair.
+ jfieldID Pair_first_ID;
+ jfieldID Pair_second_ID;
+ // Poly_Con_Relation and Poly_Gen_Relation.
+ jmethodID Poly_Con_Relation_init_ID;
+ jmethodID Poly_Gen_Relation_init_ID;
+ // PPL_Object.
+ jfieldID PPL_Object_ptr_ID;
+ // Relation_Symbol.
+ jfieldID Relation_Symbol_EQUAL_ID;
+ jfieldID Relation_Symbol_GREATER_OR_EQUAL_ID;
+ jfieldID Relation_Symbol_GREATER_THAN_ID;
+ jmethodID Relation_Symbol_ordinal_ID;
+ // Variable.
+ jfieldID Variable_varid_ID;
+ jfieldID Variable_stringifier_ID;
+ jmethodID Variable_init_ID;
+ // Variable_Stringifier.
+ jmethodID Variable_Stringifier_stringify_ID;
+ // Variables_Set.
+ jmethodID Variables_Set_init_ID;
+ jmethodID Variables_Set_add_ID;
+ jmethodID Variables_Set_iterator_ID;
+ // Iterators on Variables_Set.
+ jmethodID Variables_Set_Iterator_has_next_ID;
+ jmethodID Variables_Set_Iterator_next_ID;
+};
+
+//! The cached class references.
+extern Java_Class_Cache cached_classes;
+
+//! The field and method ID cache.
+extern Java_FMID_Cache cached_FMIDs;
+
+
+/*! \brief
+ Builds an unsigned C++ number from the Java native number \p value.
+
+ \param value
+ The Java native number of type V to be converted.
+
+ \exception std::invalid_argument
+ Thrown if \p value is negative.
+*/
+template <typename U, typename V>
+U
+jtype_to_unsigned(const V& value);
+
+//! Builds a Java Boolean from C++ bool \p value.
+jobject
+bool_to_j_boolean_class(JNIEnv* env, const bool value);
+
+//! Returns the Java int stored in Java Integer \p j_integer.
+jint
+j_integer_to_j_int(JNIEnv* env, jobject j_integer);
+
+//! Builds a Java Integer from Java int \p value.
+jobject
+j_int_to_j_integer(JNIEnv* env, jint value);
+
+//! Returns the Java long stored in Java Long \p j_long.
+jlong
+j_long_class_to_j_long(JNIEnv* env, jobject j_long);
+
+//! Builds a Java Long from Java long \p value.
+jobject
+j_long_to_j_long_class(JNIEnv* env, jlong value);
+
+/*! \brief
+ Returns \c true if and only if the Java object \p ppl_object
+ refers to a C++ object.
+*/
+bool
+is_java_marked(JNIEnv* env, jobject ppl_object);
+
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Poly_Gen_Relation
+ from C++ Poly_Gen_Relation \p r.
+*/
+jobject
+build_java_poly_gen_relation(JNIEnv* env, Poly_Gen_Relation& r);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Poly_Con_Relation
+ from C++ Poly_Con_Relation \p r.
+*/
+jobject
+build_java_poly_con_relation(JNIEnv* env, Poly_Con_Relation& r);
+
+/*! \brief
+ Builds a C++ Variables_Set
+ from Java parma_polyhedra_library::Variables_Set \p v_set.
+*/
+Variables_Set
+build_cxx_variables_set(JNIEnv* env, jobject v_set);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Variables_Set
+ from C++ Variables_Set \p v_set.
+*/
+jobject
+build_java_variables_set(JNIEnv* env, const Variables_Set& v_set);
+
+/*! \brief
+ Builds a C++ Relation_Symbol
+ from Java parma_polyhedra_library::Relation_Symbol \p j_relsym.
+*/
+Relation_Symbol
+build_cxx_relsym(JNIEnv* env, jobject j_relsym);
+
+/*! \brief
+ Builds a C++ Bounded_Integer_Type_Overflow
+ from Java parma_polyhedra_library::Bounded_Integer_Type_Overflow
+ \p j_bounded_overflow.
+*/
+Bounded_Integer_Type_Overflow
+build_cxx_bounded_overflow(JNIEnv* env, jobject j_bounded_overflow);
+
+/*! \brief
+ Builds a C++ Bounded_Integer_Type_Width
+ from Java parma_polyhedra_library::Bounded_Integer_Type_Width
+ \p j_bounded_width.
+*/
+Bounded_Integer_Type_Width
+build_cxx_bounded_width(JNIEnv* env, jobject j_bounded_width);
+
+/*! \brief
+ Builds a C++ Bounded_Integer_Type_Representation
+ from Java parma_polyhedra_library::Bounded_Integer_Type_Representation
+ \p j_bounded_rep.
+*/
+Bounded_Integer_Type_Representation
+build_cxx_bounded_rep(JNIEnv* env, jobject j_bounded_rep);
+
+/*! \brief
+ Builds a C++ Optimization_Mode
+ from Java parma_polyhedra_library::Optimization_Mode \p j_opt_mode.
+*/
+Optimization_Mode
+build_cxx_optimization_mode(JNIEnv* env, jobject j_opt_mode);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Optimization_Mode
+ from C++ Optimization_Mode \p opt_mode.
+*/
+jobject
+build_java_optimization_mode(JNIEnv* env, const Optimization_Mode& opt_mode);
+
+/*! \brief
+ Builds a C++ MIP_Problem::Control_Parameter_Name
+ from Java parma_polyhedra_library::Control_Parameter_Name \p j_cp_name.
+*/
+MIP_Problem::Control_Parameter_Name
+build_cxx_control_parameter_name(JNIEnv* env, jobject j_cp_name);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Control_Parameter_Name
+ from C++ MIP_Problem::Control_Parameter_Name \p cp_name.
+*/
+jobject
+build_java_control_parameter_name
+(JNIEnv* env, const MIP_Problem::Control_Parameter_Name& cp_name);
+
+/*! \brief
+ Builds a C++ MIP_Problem::Control_Parameter_Value
+ from Java parma_polyhedra_library::Control_Parameter_Value \p j_cp_value.
+*/
+MIP_Problem::Control_Parameter_Value
+build_cxx_control_parameter_value(JNIEnv* env, jobject j_cp_value);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Control_Parameter_Value
+ from C++ MIP_Problem::Control_Parameter_Value \p cp_value.
+*/
+jobject
+build_java_control_parameter_value
+(JNIEnv* env, const MIP_Problem::Control_Parameter_Value& cp_value);
+
+/*! \brief
+ Builds a C++ PIP_Problem::Control_Parameter_Name
+ from Java parma_polyhedra_library::PIP_Problem_Control_Parameter_Name
+ \p j_cp_name.
+*/
+PIP_Problem::Control_Parameter_Name
+build_cxx_pip_problem_control_parameter_name(JNIEnv* env, jobject j_cp_name);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::PIP_Problem_Control_Parameter_Name
+ from C++ PIP_Problem::Control_Parameter_Name \p cp_name.
+*/
+jobject
+build_java_pip_problem_control_parameter_name
+(JNIEnv* env, const PIP_Problem::Control_Parameter_Name& cp_name);
+
+/*! \brief
+ Builds a C++ PIP_Problem::Control_Parameter_Value
+ from Java parma_polyhedra_library::PIP_Problem_Control_Parameter_Value
+ \p j_cp_value.
+*/
+PIP_Problem::Control_Parameter_Value
+build_cxx_pip_problem_control_parameter_value(JNIEnv* env, jobject j_cp_value);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Control_Parameter_Value
+ from C++ PIP_Problem::Control_Parameter_Value \p cp_value.
+*/
+jobject
+build_java_pip_problem_control_parameter_value
+(JNIEnv* env, const PIP_Problem::Control_Parameter_Value& cp_value);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::MIP_Problem_Status
+ from C++ MIP_Problem_Status \p mip_status.
+*/
+jobject
+build_java_mip_status(JNIEnv* env, const MIP_Problem_Status& mip_status);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::PIP_Problem_Status
+ from C++ PIP_Problem_Status \p pip_status.
+*/
+jobject
+build_java_pip_status(JNIEnv* env, const PIP_Problem_Status& pip_status);
+
+/*! \brief
+ Builds a C++ Variable
+ from Java parma_polyhedra_library::Variable \p j_var.
+*/
+Variable
+build_cxx_variable(JNIEnv* env, jobject j_var);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Variable
+ from C++ Variable \p var.
+*/
+jobject
+build_java_variable(JNIEnv* env, const Variable var);
+
+/*! \brief
+ The customizable variable output function for Java interface.
+
+ Customization is obtained by providing an object implementing interface
+ <CODE>Variable_Stringifier</CODE> and attaching it to class
+ <CODE>Variable</CODE> using static method <CODE>setStringifier</CODE>.
+*/
+void
+Java_Variable_output_function(std::ostream& s, Variable v);
+
+/*! \brief
+ Builds a C++ Coefficient
+ from Java parma_polyhedra_library::Coefficient \p j_coeff.
+*/
+Coefficient
+build_cxx_coeff(JNIEnv* env, jobject j_coeff);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Coefficient
+ from C++ Coefficient \p ppl_coeff.
+*/
+jobject
+build_java_coeff(JNIEnv* env, const Coefficient& ppl_coeff);
+
+/*! \brief
+ Builds a C++ Constraint
+ from Java parma_polyhedra_library::Constraint \p j_constraint.
+*/
+Constraint
+build_cxx_constraint(JNIEnv* env, jobject j_constraint);
+
+/*! \brief
+ Builds a C++ Artificial_Parameter
+ from Java parma_polyhedra_library::Artificial_Parameter
+ \p j_artificial_parameter.
+*/
+PIP_Tree_Node::Artificial_Parameter
+build_cxx_artificial_parameter(JNIEnv* env, jobject j_ap);
+
+/*! \brief
+ Builds a C++ Linear_Expression
+ from Java parma_polyhedra_library::Linear_Expression \p j_le.
+*/
+Linear_Expression
+build_cxx_linear_expression(JNIEnv* env, jobject j_le);
+
+/*! \brief
+ Builds a C++ Congruence
+ from Java parma_polyhedra_library::Congruence \p j_cg.
+*/
+Congruence
+build_cxx_congruence(JNIEnv* env, jobject j_cg);
+
+/*! \brief
+ Builds a C++ Generator
+ from Java parma_polyhedra_library::Generator \p j_g.
+*/
+Generator
+build_cxx_generator(JNIEnv* env, jobject j_g);
+
+/*! \brief
+ Builds a C++ Grid_Generator
+ from Java parma_polyhedra_library::Grid_Generator \p j_g.
+*/
+Grid_Generator
+build_cxx_grid_generator(JNIEnv* env, jobject j_g);
+
+/*! \brief
+ Builds a C++ Grid_Generator_System
+ from Java parma_polyhedra_library::Grid_Generator_System \p j_gs.
+*/
+Grid_Generator_System
+build_cxx_grid_generator_system(JNIEnv* env, jobject j_gs);
+
+/*! \brief
+ Builds a C++ Constraint_System
+ from Java parma_polyhedra_library::Constraint_System \p j_cs.
+*/
+Constraint_System
+build_cxx_constraint_system(JNIEnv* env, jobject j_cs);
+
+/*! \brief
+ Builds a C++ Artificial_Parameter
+ from Java parma_polyhedra_library::Artificial_Parameter \p j_art_param.
+*/
+PIP_Tree_Node::Artificial_Parameter
+build_cxx_artificial_parameter(JNIEnv* env, jobject j_art_param);
+
+/*! \brief
+ Builds a C++ Artificial_Parameter_Sequence
+ from Java parma_polyhedra_library::Artificial_Parameter_Sequence \p j_aps.
+*/
+PIP_Tree_Node::Artificial_Parameter_Sequence
+build_cxx_artificial_parameter_sequence(JNIEnv* env, jobject j_aps);
+
+/*! \brief
+ Builds a C++ Generator_System
+ from Java parma_polyhedra_library::Generator_System \p j_gs.
+*/
+Generator_System
+build_cxx_generator_system(JNIEnv* env, jobject j_gs);
+
+/*! \brief
+ Builds a C++ Congruence_System
+ from Java parma_polyhedra_library::Congruence_System \p j_cgs.
+*/
+Congruence_System
+build_cxx_congruence_system(JNIEnv* env, jobject j_cgs);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Constraint
+ from C++ Constraint \p c.
+*/
+jobject
+build_java_constraint(JNIEnv* env, const Constraint& c);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Artificial_Parameter
+ from C++ Artificial_Parameter \p ap.
+*/
+jobject
+build_java_artificial_parameter(JNIEnv* env,
+ const PIP_Tree_Node::Artificial_Parameter& ap);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Congruence
+ from C++ Congruence \p cg.
+*/
+jobject
+build_java_congruence(JNIEnv* env, const Congruence& cg);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Generator
+ from C++ Generator \p g.
+*/
+jobject
+build_java_generator(JNIEnv* env, const Generator& g);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Grid_Generator
+ from C++ Grid_Generator \p g.
+*/
+jobject
+build_java_grid_generator(JNIEnv* env, const Grid_Generator& g);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Constraint_System
+ from C++ Constraint_System \p cs.
+*/
+jobject
+build_java_constraint_system(JNIEnv* env, const Constraint_System& cs);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Artificial_Parameter_Sequence
+ from C++ Artificial_Parameter_Sequence \p aps.
+*/
+jobject
+build_java_artificial_parameter_sequence
+(JNIEnv* env, const PIP_Tree_Node::Artificial_Parameter_Sequence& aps);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Grid_Generator_System
+ from C++ Grid_Generator_System \p gs.
+*/
+jobject
+build_java_grid_generator_system(JNIEnv* env, const Grid_Generator_System& gs);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Generator_System
+ from C++ Generator_System \p gs.
+*/
+jobject
+build_java_generator_system(JNIEnv* env, const Generator_System& gs);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Congruence_System
+ from C++ Congruence_System \p cgs.
+*/
+jobject
+build_java_congruence_system(JNIEnv* env, const Congruence_System& cgs);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Linear_Expression_Coefficient
+ from C++ Coefficient \p coeff.
+*/
+jobject
+build_java_linear_expression_coefficient(JNIEnv* env, const Coefficient& coeff);
+
+/*! \brief
+ Sets Java parma_polyhedra_library::Generator \p dst
+ to have the same value as \p src.
+*/
+void
+set_generator(JNIEnv* env, jobject dst, jobject src);
+
+/*! \brief
+ Sets Java Coefficient \p dst to have the same value as \p src.
+*/
+void
+set_coefficient(JNIEnv* env, jobject dst, jobject src);
+
+/*! \brief
+ Modifies parma_polyhedra_library::By_Reference object \p by_ref_dst
+ so that it references object \p src.
+*/
+void
+set_by_reference(JNIEnv* env, jobject by_ref_dst, jobject src);
+
+/*! \brief
+ Returns the object referenced by
+ parma_polyhedra_library::By_Reference object \p by_reference.
+*/
+jobject
+get_by_reference(JNIEnv* env, jobject by_reference);
+
+
+/*! \brief
+ Assigns \p src to one of the fields of
+ parma_polyhedra_library::Pair object \p dst_pair.
+
+ If \p arg is 0, the first element of \p dst_pair is overwritten;
+ if \p arg is 1, the second element of \p dst_pair is overwritten.
+
+ \exception std::runtime_error
+ Thrown if \p arg is neither 0 nor 1.
+*/
+void
+set_pair_element(JNIEnv* env, jobject dst_pair, int arg, jobject src);
+
+/*! \brief
+ Returns one of the fields of the
+ parma_polyhedra_library::Pair object \p pair.
+
+ If \p arg is 0, the first element of \p pair is returned;
+ if \p arg is 1, the second element of \p pair is returned.
+
+ \exception std::runtime_error
+ Thrown if \p arg is neither 0 nor 1.
+*/
+jobject
+get_pair_element(JNIEnv* env, int arg, jobject pair);
+
+//! Returns a pointer to the C++ object wrapped by \p ppl_object.
+void*
+get_ptr(JNIEnv* env, jobject ppl_object);
+
+//! Sets the pointer of the underlying C++ object in the Java object.
+template <typename T>
+void
+set_ptr(JNIEnv* env, jobject ppl_object,
+ const T* address, bool to_be_marked = false);
+
+/*! \brief
+ Builds a Java parma_polyhedra_library::Linear_Expression
+ from the C++ constraint/congruence \p r.
+*/
+template <typename R>
+jobject
+build_linear_expression(JNIEnv* env, const R& r);
+
+} // namespace Java
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+
+#include "ppl_java_common_inlines.hh"
+
+#endif // !defined(PPL_ppl_prolog_common_defs_hh)
diff --git a/interfaces/Java/jni/ppl_java_common_inlines.hh b/interfaces/Java/jni/ppl_java_common_inlines.hh
new file mode 100644
index 0000000..3f3c8f0
--- /dev/null
+++ b/interfaces/Java/jni/ppl_java_common_inlines.hh
@@ -0,0 +1,245 @@
+/* Domain-independent part of the Java interface: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_java_common_inlines_hh
+#define PPL_ppl_java_common_inlines_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace Java {
+
+template <typename U, typename V>
+U
+jtype_to_unsigned(const V& value) {
+ if (value < 0)
+ throw std::invalid_argument("not an unsigned integer.");
+
+ if (sizeof(U) < sizeof(V)) {
+ if (value > static_cast<V>(std::numeric_limits<U>::max()))
+ throw std::invalid_argument("unsigned integer out of range.");
+ }
+
+ return value;
+}
+
+template <typename T>
+inline void
+set_ptr(JNIEnv* env, jobject ppl_object,
+ const T* address, bool to_be_marked) {
+ const T* ptr = (to_be_marked ? mark(address) : address);
+ jlong pointer_value = reinterpret_cast<jlong>(ptr);
+ assert(reinterpret_cast<const T*>(pointer_value) == ptr);
+ env->SetLongField(ppl_object, cached_FMIDs.PPL_Object_ptr_ID, pointer_value);
+}
+
+inline void*
+get_ptr(JNIEnv* env, jobject ppl_object) {
+ jlong pointer_value
+ = env->GetLongField(ppl_object, cached_FMIDs.PPL_Object_ptr_ID);
+ void* ptr = reinterpret_cast<void*>(pointer_value);
+ assert(reinterpret_cast<jlong>(ptr) == pointer_value);
+ return unmark(ptr);
+}
+
+inline bool
+is_java_marked(JNIEnv* env, jobject ppl_object) {
+ jlong pointer_value
+ = env->GetLongField(ppl_object, cached_FMIDs.PPL_Object_ptr_ID);
+ const void* ptr = reinterpret_cast<const void*>(pointer_value);
+ assert(reinterpret_cast<jlong>(ptr) == pointer_value);
+ return marked(ptr);
+}
+
+inline void
+set_coefficient(JNIEnv* env, jobject dst, jobject src) {
+ jobject src_bi
+ = env->GetObjectField(src, cached_FMIDs.Coefficient_value_ID);
+ env->SetObjectField(dst, cached_FMIDs.Coefficient_value_ID, src_bi);
+}
+
+inline void
+set_by_reference(JNIEnv* env, jobject by_ref_dst, jobject src) {
+ env->SetObjectField(by_ref_dst,
+ cached_FMIDs.By_Reference_obj_ID,
+ src);
+}
+
+inline jobject
+get_by_reference(JNIEnv* env, jobject by_reference) {
+ return env->GetObjectField(by_reference, cached_FMIDs.By_Reference_obj_ID);
+}
+
+template <typename R>
+jobject
+build_linear_expression(JNIEnv* env, const R& r) {
+ jobject j_ret;
+ PPL_DIRTY_TEMP_COEFFICIENT(coefficient);
+ dimension_type varid = 0;
+ dimension_type space_dimension = r.space_dimension();
+ while (varid < space_dimension
+ && (coefficient = r.coefficient(Variable(varid))) == 0)
+ ++varid;
+ if (varid >= space_dimension) {
+ jobject j_coefficient_zero = build_java_coeff(env, Coefficient(0));
+ j_ret = env->NewObject(cached_classes.Linear_Expression_Coefficient,
+ cached_FMIDs.Linear_Expression_Coefficient_init_ID,
+ j_coefficient_zero);
+ CHECK_RESULT_THROW(env, j_ret);
+ }
+ else {
+ jmethodID coeff_var_init_ID
+ = cached_FMIDs.Linear_Expression_Times_init_from_coeff_var_ID;
+ jobject j_coefficient = build_java_coeff(env, coefficient);
+ jobject j_variable = build_java_variable(env, Variable(varid));
+ jclass j_le_times_class = cached_classes.Linear_Expression_Times;
+ jobject j_coeff_var = env->NewObject(j_le_times_class,
+ coeff_var_init_ID,
+ j_coefficient, j_variable);
+ CHECK_EXCEPTION_THROW(env);
+ j_ret = j_coeff_var;
+ while (true) {
+ ++varid;
+ while (varid < space_dimension
+ && (coefficient = r.coefficient(Variable(varid))) == 0)
+ ++varid;
+ if (varid >= space_dimension)
+ break;
+ else {
+ j_coefficient = build_java_coeff(env, coefficient);
+ j_variable = build_java_variable(env, Variable(varid));
+ j_coeff_var = env->NewObject(j_le_times_class,
+ coeff_var_init_ID,
+ j_coefficient, j_variable);
+ CHECK_EXCEPTION_THROW(env);
+ j_ret = env->CallObjectMethod(j_ret,
+ cached_FMIDs.Linear_Expression_sum_ID,
+ j_coeff_var);
+ CHECK_EXCEPTION_THROW(env);
+ }
+ }
+ }
+ return j_ret;
+}
+
+inline Variable
+build_cxx_variable(JNIEnv* env, jobject j_var) {
+ return Variable(env->GetIntField(j_var, cached_FMIDs.Variable_varid_ID));
+}
+
+inline jobject
+build_java_variable(JNIEnv* env, const Variable var) {
+ jobject ret = env->NewObject(cached_classes.Variable,
+ cached_FMIDs.Variable_init_ID,
+ var.id());
+ CHECK_RESULT_THROW(env, ret);
+ return ret;
+}
+
+inline Coefficient
+build_cxx_coeff(JNIEnv* env, jobject j_coeff) {
+ jstring bi_string
+ = (jstring) env->CallObjectMethod(j_coeff,
+ cached_FMIDs.Coefficient_toString_ID);
+ CHECK_EXCEPTION_THROW(env);
+ const char *nativeString = env->GetStringUTFChars(bi_string, 0);
+ CHECK_RESULT_THROW(env, nativeString);
+ PPL_DIRTY_TEMP_COEFFICIENT(ppl_coeff);
+ ppl_coeff = Coefficient(nativeString);
+ env->ReleaseStringUTFChars(bi_string, nativeString);
+ return ppl_coeff;
+}
+
+inline jobject
+build_java_coeff(JNIEnv* env, const Coefficient& ppl_coeff) {
+ std::ostringstream s;
+ s << ppl_coeff;
+ std::string str = s.str();
+ jstring coeff_string = env->NewStringUTF(str.c_str());
+ CHECK_RESULT_THROW(env, coeff_string);
+ jobject ret = env->NewObject(cached_classes.Coefficient,
+ cached_FMIDs.Coefficient_init_from_String_ID,
+ coeff_string);
+ CHECK_RESULT_THROW(env, ret);
+ return ret;
+}
+
+template <typename System, typename Elem_Builder>
+System
+build_cxx_system(JNIEnv* env, jobject j_iterable, Elem_Builder build_cxx_elem) {
+ // Get the iterator.
+ jobject j_iter
+ = env->CallObjectMethod(j_iterable, cached_FMIDs.System_iterator_ID);
+ CHECK_EXCEPTION_THROW(env);
+ // Get the iterator method IDs.
+ jmethodID has_next_mID = cached_FMIDs.System_Iterator_has_next_ID;
+ jmethodID next_mID = cached_FMIDs.System_Iterator_next_ID;
+ // Initialize an empty system.
+ System cxx_sys;
+ jobject j_element;
+ jboolean has_next_value = env->CallBooleanMethod(j_iter, has_next_mID);
+ CHECK_EXCEPTION_ASSERT(env);
+ while (has_next_value) {
+ j_element = env->CallObjectMethod(j_iter, next_mID);
+ CHECK_EXCEPTION_ASSERT(env);
+ cxx_sys.insert(build_cxx_elem(env, j_element));
+ has_next_value = env->CallBooleanMethod(j_iter, has_next_mID);
+ CHECK_EXCEPTION_ASSERT(env);
+ }
+ return cxx_sys;
+}
+
+inline Congruence_System
+build_cxx_congruence_system(JNIEnv* env, jobject j_iterable) {
+ return
+ build_cxx_system<Congruence_System>(env, j_iterable, build_cxx_congruence);
+}
+
+inline Constraint_System
+build_cxx_constraint_system(JNIEnv* env, jobject j_iterable) {
+ return
+ build_cxx_system<Constraint_System>(env, j_iterable, build_cxx_constraint);
+}
+
+inline Generator_System
+build_cxx_generator_system(JNIEnv* env, jobject j_iterable) {
+ return
+ build_cxx_system<Generator_System>(env, j_iterable, build_cxx_generator);
+}
+
+inline Grid_Generator_System
+build_cxx_grid_generator_system(JNIEnv* env, jobject j_iterable) {
+ return build_cxx_system<Grid_Generator_System> (env, j_iterable,
+ build_cxx_grid_generator);
+}
+
+} // namespace Java
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_ppl_java_common_inlines_hh)
diff --git a/interfaces/Java/jni/ppl_java_globals.cc b/interfaces/Java/jni/ppl_java_globals.cc
index 47b679a..7ee4ce7 100644
--- a/interfaces/Java/jni/ppl_java_globals.cc
+++ b/interfaces/Java/jni/ppl_java_globals.cc
@@ -1,6 +1,6 @@
/* PPL Java interface: domain-independent functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -21,7 +21,7 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-#include "ppl_java_common.defs.hh"
+#include "ppl_java_common_defs.hh"
#include "parma_polyhedra_library_Artificial_Parameter.h"
#include "parma_polyhedra_library_Artificial_Parameter_Sequence.h"
#include "parma_polyhedra_library_Bounded_Integer_Type_Overflow.h"
@@ -388,7 +388,7 @@ Java_parma_1polyhedra_1library_Linear_1Expression_1Coefficient_initIDs
cached_FMIDs.Linear_Expression_Coefficient_coeff_ID = fID;
jmethodID mID;
mID = env->GetMethodID(j_le_coeff_class, "<init>",
- "(Lparma_polyhedra_library/Coefficient;)V");
+ "(Lparma_polyhedra_library/Coefficient;)V");
CHECK_RESULT_ASSERT(env, mID);
cached_FMIDs.Linear_Expression_Coefficient_init_ID = mID;
}
@@ -456,10 +456,10 @@ Java_parma_1polyhedra_1library_Linear_1Expression_1Variable_initIDs
(JNIEnv* env, jclass j_le_var_class) {
jmethodID mID;
mID = env->GetMethodID(j_le_var_class, "<init>",
- "(Lparma_polyhedra_library/Variable;)V");
+ "(Lparma_polyhedra_library/Variable;)V");
CHECK_RESULT_ASSERT(env, mID);
cached_FMIDs.Linear_Expression_Variable_init_ID = mID;
- mID = env->GetMethodID(j_le_var_class, "var_id", "()I");
+ mID = env->GetMethodID(j_le_var_class, "var_id", "()J");
CHECK_RESULT_ASSERT(env, mID);
cached_FMIDs.Linear_Expression_Variable_var_id_ID = mID;
}
@@ -675,10 +675,14 @@ Java_parma_1polyhedra_1library_Bounded_1Integer_1Type_1Width_initIDs
JNIEXPORT void JNICALL
Java_parma_1polyhedra_1library_Variable_initIDs
(JNIEnv* env, jclass j_variable_class) {
- jfieldID fID = env->GetFieldID(j_variable_class, "varid", "I");
+ jfieldID fID = env->GetFieldID(j_variable_class, "varid", "J");
CHECK_RESULT_ASSERT(env, fID);
cached_FMIDs.Variable_varid_ID = fID;
- jmethodID mID = env->GetMethodID(j_variable_class, "<init>", "(I)V");
+ fID = env->GetStaticFieldID(j_variable_class, "stringifier",
+ "Lparma_polyhedra_library/Variable_Stringifier;");
+ CHECK_RESULT_ASSERT(env, fID);
+ cached_FMIDs.Variable_stringifier_ID = fID;
+ jmethodID mID = env->GetMethodID(j_variable_class, "<init>", "(J)V");
CHECK_RESULT_ASSERT(env, mID);
cached_FMIDs.Variable_init_ID = mID;
}
@@ -966,7 +970,7 @@ Java_parma_1polyhedra_1library_MIP_1Problem_constraints
MIP_Problem* mip
= reinterpret_cast<MIP_Problem*>(get_ptr(env, j_this_mip_problem));
for (MIP_Problem::const_iterator cs_it = mip->constraints_begin(),
- cs_end = mip->constraints_end(); cs_it != cs_end; ++cs_it) {
+ cs_end = mip->constraints_end(); cs_it != cs_end; ++cs_it) {
jobject j_constraint = build_java_constraint(env, *cs_it);
env->CallBooleanMethod(j_cs,
cached_FMIDs.Constraint_System_add_ID,
@@ -1252,6 +1256,44 @@ Java_parma_1polyhedra_1library_MIP_1Problem_ascii_1dump
}
JNIEXPORT jstring JNICALL
+Java_parma_1polyhedra_1library_Variable_toString
+(JNIEnv* env, jobject j_this) {
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ Variable ppl_var = build_cxx_variable(env, j_this);
+ std::ostringstream s;
+ s << ppl_var;
+ return env->NewStringUTF(s.str().c_str());
+}
+
+JNIEXPORT void JNICALL
+Java_parma_1polyhedra_1library_Variable_setStringifier
+(JNIEnv* env, jclass j_variable_class, jobject j_stringifier) {
+ // Store j_stringifier in the corresponding static field.
+ env->SetStaticObjectField(j_variable_class,
+ cached_FMIDs.Variable_stringifier_ID,
+ j_stringifier);
+ if (j_stringifier == NULL) {
+ // No stringifier object: reset cache values.
+ cached_classes.Variable_Stringifier = NULL;
+ cached_FMIDs.Variable_Stringifier_stringify_ID = NULL;
+ // Reset default C++ output function.
+ Variable::set_output_function(&Variable::default_output_function);
+ }
+ else {
+ // Update cache with values computed for concrete class.
+ jclass vs_class = env->GetObjectClass(j_stringifier);
+ CHECK_RESULT_ASSERT(env, vs_class);
+ cached_classes.Variable_Stringifier = vs_class;
+ jmethodID mID = env->GetMethodID(vs_class, "stringify",
+ "(J)Ljava/lang/String;");
+ CHECK_RESULT_ASSERT(env, mID);
+ cached_FMIDs.Variable_Stringifier_stringify_ID = mID;
+ // Set C++ output function to the Java wrapper.
+ Variable::set_output_function(&Java_Variable_output_function);
+ }
+}
+
+JNIEXPORT jstring JNICALL
Java_parma_1polyhedra_1library_Linear_1Expression_toString
(JNIEnv* env, jobject j_this) {
using namespace Parma_Polyhedra_Library::IO_Operators;
diff --git a/interfaces/Java/parma_polyhedra_library/Artificial_Parameter.java b/interfaces/Java/parma_polyhedra_library/Artificial_Parameter.java
index a76585c..2fb8b28 100644
--- a/interfaces/Java/parma_polyhedra_library/Artificial_Parameter.java
+++ b/interfaces/Java/parma_polyhedra_library/Artificial_Parameter.java
@@ -1,6 +1,6 @@
/* Artificial_Parameter Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,9 +24,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
/*!
An Artificial_Parameter object represents the result
of the integer division of a Linear_Expression (on the other
@@ -59,22 +56,22 @@ public class Artificial_Parameter {
and a denominator.
*/
public Artificial_Parameter(Linear_Expression e, Coefficient d) {
- le = e.clone();
- den = new Coefficient(d);
+ le = e.clone();
+ den = new Coefficient(d);
}
/*! \brief
Returns the linear expression in artificial parameter \p this.
*/
public Linear_Expression linear_expression() {
- return le;
+ return le;
}
/*! \brief
Returns the denominator in artificial parameter \p this.
*/
public Coefficient denominator() {
- return den;
+ return den;
}
//! Returns an ascii formatted internal representation of \p this.
diff --git a/interfaces/Java/parma_polyhedra_library/Artificial_Parameter_Sequence.java b/interfaces/Java/parma_polyhedra_library/Artificial_Parameter_Sequence.java
index 94c2768..ec8dca6 100644
--- a/interfaces/Java/parma_polyhedra_library/Artificial_Parameter_Sequence.java
+++ b/interfaces/Java/parma_polyhedra_library/Artificial_Parameter_Sequence.java
@@ -1,6 +1,6 @@
/* Artificial_Parameter_Sequence Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,16 +23,13 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A sequence of artificial parameters.
/*! \ingroup PPL_Java_interface
An object of the class Artificial_Parameter_Sequence is a
sequence of artificial parameters.
*/
public class Artificial_Parameter_Sequence
- extends java.util.Vector<Artificial_Parameter> {
+ extends java.util.ArrayList<Artificial_Parameter> {
//! Default constructor: builds an empty sequence of artificial parameters.
public Artificial_Parameter_Sequence() {
diff --git a/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Overflow.java b/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Overflow.java
index 75c24cb..40fd8f1 100644
--- a/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Overflow.java
+++ b/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Overflow.java
@@ -1,6 +1,6 @@
/* Bounded_Integer_Type_Overflow enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Representation.java b/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Representation.java
index 9b63758..16a37b8 100644
--- a/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Representation.java
+++ b/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Representation.java
@@ -1,6 +1,6 @@
/* Bounded_Integer_Type_Representation enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Width.java b/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Width.java
index 37dd4f5..3587f3f 100644
--- a/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Width.java
+++ b/interfaces/Java/parma_polyhedra_library/Bounded_Integer_Type_Width.java
@@ -1,6 +1,6 @@
/* Bounded_Integer_Type_Width enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/By_Reference.java b/interfaces/Java/parma_polyhedra_library/By_Reference.java
index 22e9347..0390b6b 100644
--- a/interfaces/Java/parma_polyhedra_library/By_Reference.java
+++ b/interfaces/Java/parma_polyhedra_library/By_Reference.java
@@ -1,6 +1,6 @@
/* By_Reference Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -31,17 +31,17 @@ public class By_Reference<T> {
//! Builds an object encapsulating \p object_value.
public By_Reference(T object_value) {
- obj = object_value;
+ obj = object_value;
}
//! Set an object to value \p object_value.
public void set(T y) {
- obj = y;
+ obj = y;
}
//! Returns the value held by \p this.
public T get() {
- return obj;
+ return obj;
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Coefficient.java b/interfaces/Java/parma_polyhedra_library/Coefficient.java
index 82ae8b5..34a3f4b 100644
--- a/interfaces/Java/parma_polyhedra_library/Coefficient.java
+++ b/interfaces/Java/parma_polyhedra_library/Coefficient.java
@@ -1,6 +1,6 @@
/* Coefficient Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -43,12 +43,12 @@ public class Coefficient {
//! Builds a coefficient valued \p l.
public Coefficient(long l) {
- value = BigInteger.valueOf(l);
+ value = BigInteger.valueOf(l);
}
//! Builds a coefficient valued \p bi.
public Coefficient(BigInteger bi) {
- value = bi;
+ value = bi;
}
//! Builds a coefficient from the decimal representation in \p s.
@@ -57,22 +57,22 @@ public class Coefficient {
Thrown if \p s does not contain a valid decimal representation.
*/
public Coefficient(String s) {
- value = new BigInteger(s);
+ value = new BigInteger(s);
}
//! Builds a copy of \p c.
public Coefficient(Coefficient c) {
- value = c.value;
+ value = c.value;
}
//! Returns a String representation of \p this.
public String toString() {
- return value.toString();
+ return value.toString();
}
//! Returns the value held by \p this.
public BigInteger getBigInteger() {
- return value;
+ return value;
}
//! Returns the number of bits of PPL coefficients; 0 if unbounded.
diff --git a/interfaces/Java/parma_polyhedra_library/Complexity_Class.java b/interfaces/Java/parma_polyhedra_library/Complexity_Class.java
index ee8e62c..406497d 100644
--- a/interfaces/Java/parma_polyhedra_library/Complexity_Class.java
+++ b/interfaces/Java/parma_polyhedra_library/Complexity_Class.java
@@ -1,6 +1,6 @@
/* Complexity_Class enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Congruence.java b/interfaces/Java/parma_polyhedra_library/Congruence.java
index 0c9d201..35a29bc 100644
--- a/interfaces/Java/parma_polyhedra_library/Congruence.java
+++ b/interfaces/Java/parma_polyhedra_library/Congruence.java
@@ -1,6 +1,6 @@
/* Congruence Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,9 +23,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A linear congruence.
/*! \ingroup PPL_Java_interface
An object of the class Congruence is an object represeting a congruence:
@@ -55,25 +52,25 @@ public class Congruence {
\f$\mathtt{e1} = \mathtt{e2} \pmod{\mathtt{m}}\f$.
*/
public Congruence(Linear_Expression e1, Linear_Expression e2,
- Coefficient m) {
- mod = new Coefficient(m);
- lhs = e1.clone();
- rhs = e2.clone();
+ Coefficient m) {
+ mod = new Coefficient(m);
+ lhs = e1.clone();
+ rhs = e2.clone();
}
//! Returns the left hand side of \p this.
public Linear_Expression left_hand_side() {
- return lhs;
+ return lhs;
}
//! Returns the right hand side of \p this.
public Linear_Expression right_hand_side() {
- return rhs;
+ return rhs;
}
//! Returns the relation symbol of \p this.
public Coefficient modulus() {
- return mod;
+ return mod;
}
//! Returns an ascii formatted internal representation of \p this.
diff --git a/interfaces/Java/parma_polyhedra_library/Congruence_System.java b/interfaces/Java/parma_polyhedra_library/Congruence_System.java
index e69150f..f7f43be 100644
--- a/interfaces/Java/parma_polyhedra_library/Congruence_System.java
+++ b/interfaces/Java/parma_polyhedra_library/Congruence_System.java
@@ -1,6 +1,6 @@
/* Congruence_System Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,15 +23,12 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A system of congruences.
/*! \ingroup PPL_Java_interface
An object of the class Congruence_System is a system of congruences,
i.e., a multiset of objects of the class Congruence.
*/
-public class Congruence_System extends java.util.Vector<Congruence> {
+public class Congruence_System extends java.util.ArrayList<Congruence> {
//! Default constructor: builds an empty system of congruences.
public Congruence_System() {
}
diff --git a/interfaces/Java/parma_polyhedra_library/Constraint.java b/interfaces/Java/parma_polyhedra_library/Constraint.java
index d0f3105..d1862ee 100644
--- a/interfaces/Java/parma_polyhedra_library/Constraint.java
+++ b/interfaces/Java/parma_polyhedra_library/Constraint.java
@@ -1,6 +1,6 @@
/* Constraint Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,9 +23,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A linear equality or inequality.
/*! \ingroup PPL_Java_interface
An object of the class Constraint is either:
@@ -50,24 +47,24 @@ public class Constraint {
*/
public Constraint(Linear_Expression le1, Relation_Symbol rel_sym,
Linear_Expression le2) {
- lhs = le1.clone();
- rhs = le2.clone();
- kind = rel_sym;
+ lhs = le1.clone();
+ rhs = le2.clone();
+ kind = rel_sym;
}
//! Returns the left hand side of \p this.
public Linear_Expression left_hand_side() {
- return lhs;
+ return lhs;
}
//! Returns the right hand side of \p this.
public Linear_Expression right_hand_side() {
- return rhs;
+ return rhs;
}
//! Returns the relation symbol of \p this.
public Relation_Symbol kind() {
- return kind;
+ return kind;
}
//! Returns an ascii formatted internal representation of \p this.
diff --git a/interfaces/Java/parma_polyhedra_library/Constraint_System.java b/interfaces/Java/parma_polyhedra_library/Constraint_System.java
index c4376e0..cff9954 100644
--- a/interfaces/Java/parma_polyhedra_library/Constraint_System.java
+++ b/interfaces/Java/parma_polyhedra_library/Constraint_System.java
@@ -1,6 +1,6 @@
/* Constraint_System Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,15 +23,12 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A system of constraints.
/*! \ingroup PPL_Java_interface
An object of the class Constraint_System is a system of constraints,
i.e., a multiset of objects of the class Constraint.
*/
-public class Constraint_System extends java.util.Vector<Constraint> {
+public class Constraint_System extends java.util.ArrayList<Constraint> {
//! Default constructor: builds an empty system of constraints.
public Constraint_System() {
diff --git a/interfaces/Java/parma_polyhedra_library/Control_Parameter_Name.java b/interfaces/Java/parma_polyhedra_library/Control_Parameter_Name.java
index 32af5dc..dcf0aad 100644
--- a/interfaces/Java/parma_polyhedra_library/Control_Parameter_Name.java
+++ b/interfaces/Java/parma_polyhedra_library/Control_Parameter_Name.java
@@ -1,6 +1,6 @@
/* MIP_Problem Control_Parameter_Name enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Control_Parameter_Value.java b/interfaces/Java/parma_polyhedra_library/Control_Parameter_Value.java
index ce406bc..da1ffb3 100644
--- a/interfaces/Java/parma_polyhedra_library/Control_Parameter_Value.java
+++ b/interfaces/Java/parma_polyhedra_library/Control_Parameter_Value.java
@@ -1,6 +1,6 @@
/* MIP_Problem's Control_Parameter_Value enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Degenerate_Element.java b/interfaces/Java/parma_polyhedra_library/Degenerate_Element.java
index 333a43d..5d0da10 100644
--- a/interfaces/Java/parma_polyhedra_library/Degenerate_Element.java
+++ b/interfaces/Java/parma_polyhedra_library/Degenerate_Element.java
@@ -1,6 +1,6 @@
/* Degenerate_Element enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Domain_Error_Exception.java b/interfaces/Java/parma_polyhedra_library/Domain_Error_Exception.java
index ace6a27..8d07af3 100644
--- a/interfaces/Java/parma_polyhedra_library/Domain_Error_Exception.java
+++ b/interfaces/Java/parma_polyhedra_library/Domain_Error_Exception.java
@@ -1,6 +1,6 @@
/* Domain_Error_Exception Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Fake_Class_for_Doxygen.java b/interfaces/Java/parma_polyhedra_library/Fake_Class_for_Doxygen.java
index 38db0b1..87dd72d 100644
--- a/interfaces/Java/parma_polyhedra_library/Fake_Class_for_Doxygen.java
+++ b/interfaces/Java/parma_polyhedra_library/Fake_Class_for_Doxygen.java
@@ -1,6 +1,6 @@
/* Doxumentation for the Java interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -145,8 +145,8 @@ public class Polyhedron extends PPL_Object {
and \p maximum are left untouched.
*/
public native boolean maximize(Linear_Expression expr,
- Coefficient sup_n, Coefficient sup_d,
- By_Reference<Boolean> maximum);
+ Coefficient sup_n, Coefficient sup_d,
+ By_Reference<Boolean> maximum);
/*! \brief
Returns \c true if and only if \p this is not empty
@@ -173,8 +173,8 @@ public class Polyhedron extends PPL_Object {
and \p minimum are left untouched.
*/
public native boolean minimize(Linear_Expression expr,
- Coefficient inf_n, Coefficient inf_d,
- By_Reference<Boolean> minimum);
+ Coefficient inf_n, Coefficient inf_d,
+ By_Reference<Boolean> minimum);
/*! \brief
Returns \c true if and only if \p this is not empty
@@ -205,9 +205,9 @@ public class Polyhedron extends PPL_Object {
and \p g are left untouched.
*/
public native boolean maximize(Linear_Expression expr,
- Coefficient sup_n, Coefficient sup_d,
- By_Reference<Boolean> maximum,
- Generator g);
+ Coefficient sup_n, Coefficient sup_d,
+ By_Reference<Boolean> maximum,
+ Generator g);
/*! \brief
Returns \c true if and only if \p this is not empty
@@ -238,9 +238,9 @@ public class Polyhedron extends PPL_Object {
and \p g are left untouched.
*/
public native boolean minimize(Linear_Expression expr,
- Coefficient inf_n, Coefficient inf_d,
- By_Reference<Boolean> minimum,
- Generator g);
+ Coefficient inf_n, Coefficient inf_d,
+ By_Reference<Boolean> minimum,
+ Generator g);
/*! \brief
Returns the relations holding between the polyhedron \p this
@@ -499,7 +499,7 @@ public class Polyhedron extends PPL_Object {
\p this.
*/
public native void affine_image(Variable var, Linear_Expression expr,
- Coefficient denominator);
+ Coefficient denominator);
/*! \brief
Assigns to \p this the
@@ -551,9 +551,9 @@ public class Polyhedron extends PPL_Object {
dimension of \p this.
*/
public native void bounded_affine_image(Variable var,
- Linear_Expression lb_expr,
- Linear_Expression ub_expr,
- Coefficient denominator);
+ Linear_Expression lb_expr,
+ Linear_Expression ub_expr,
+ Coefficient denominator);
/*! \brief
Assigns to \p this the preimage of \p this with respect to the
@@ -814,7 +814,7 @@ public class Polyhedron extends PPL_Object {
\p this.
*/
public native void remove_higher_space_dimensions(long
- new_dimension);
+ new_dimension);
//! Creates \p m copies of the space dimension corresponding to \p var.
/*!
@@ -849,7 +849,7 @@ public class Polyhedron extends PPL_Object {
Also thrown if \p dest is contained in \p vars.
*/
public native void fold_space_dimensions(Variables_Set vars,
- Variable dest);
+ Variable dest);
/*! \brief
Remaps the dimensions of the vector space according to
@@ -966,9 +966,9 @@ public class Polyhedron extends PPL_Object {
dimension-incompatible.
*/
public native
- void limited_BHRZ03_extrapolation_assign(Polyhedron y,
- Constraint_System cs,
- By_Reference<Integer> tp);
+ void limited_BHRZ03_extrapolation_assign(Polyhedron y,
+ Constraint_System cs,
+ By_Reference<Integer> tp);
/*! \brief
Improves the result of the \extref{H79_widening, H79-widening}
@@ -991,7 +991,7 @@ public class Polyhedron extends PPL_Object {
dimension-incompatible.
*/
public native
- void limited_H79_extrapolation_assign(Polyhedron y,
+ void limited_H79_extrapolation_assign(Polyhedron y,
Constraint_System cs,
By_Reference<Integer> tp);
@@ -1018,9 +1018,9 @@ public class Polyhedron extends PPL_Object {
dimension-incompatible.
*/
public native
- void bounded_BHRZ03_extrapolation_assign(Polyhedron y,
- Constraint_System cs,
- By_Reference<Integer> tp);
+ void bounded_BHRZ03_extrapolation_assign(Polyhedron y,
+ Constraint_System cs,
+ By_Reference<Integer> tp);
/*! \brief
Improves the result of the \extref{H79_widening, H79-widening}
@@ -1045,7 +1045,7 @@ public class Polyhedron extends PPL_Object {
dimension-incompatible.
*/
public native
- void bounded_H79_extrapolation_assign(Polyhedron y,
+ void bounded_H79_extrapolation_assign(Polyhedron y,
Constraint_System cs,
By_Reference<Integer> tp);
diff --git a/interfaces/Java/parma_polyhedra_library/Generator.java b/interfaces/Java/parma_polyhedra_library/Generator.java
index 468b959..6001ad7 100644
--- a/interfaces/Java/parma_polyhedra_library/Generator.java
+++ b/interfaces/Java/parma_polyhedra_library/Generator.java
@@ -1,6 +1,6 @@
/* Generator Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,10 +23,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
-import java.util.*;
import javax.management.RuntimeErrorException;
//! A line, ray, point or closure point.
@@ -52,7 +48,7 @@ public class Generator {
stealing the coefficients from \p e.
*/
private Generator(Linear_Expression e, Generator_Type g_type) {
- le = e.clone();
+ le = e.clone();
gt = g_type;
}
@@ -65,7 +61,7 @@ public class Generator {
if (d.getBigInteger().equals(java.math.BigInteger.ZERO)) {
Error cause = new Error("parma_polyhedra_library.Generator::"
+ "Generator(e, d):\n"
- + "the divisor can not be zero.");
+ + "the divisor can not be zero.");
throw new RuntimeErrorException(cause);
}
Generator g = new Generator(e, Generator_Type.CLOSURE_POINT);
@@ -90,9 +86,9 @@ public class Generator {
*/
public static Generator point(Linear_Expression e, Coefficient d) {
if (d.getBigInteger().equals(java.math.BigInteger.ZERO)) {
- Error cause = new Error("parma_polyhedra_library.Generator::"
+ Error cause = new Error("parma_polyhedra_library.Generator::"
+ "Generator(e, d):\n"
- + "the divisor can not be zero.");
+ + "the divisor can not be zero.");
throw new RuntimeErrorException(cause);
}
@@ -128,12 +124,12 @@ public class Generator {
*/
public Coefficient divisor() {
if (this.gt == Generator_Type.POINT
- || this.gt == Generator_Type.CLOSURE_POINT)
- return div;
- Error cause = new Error("parma_polyhedra_library.Generator::divisor:\n"
- + "this is neither a point"
- + " nor a closure point.");
- throw new RuntimeErrorException(cause);
+ || this.gt == Generator_Type.CLOSURE_POINT)
+ return div;
+ Error cause = new Error("parma_polyhedra_library.Generator::divisor:\n"
+ + "this is neither a point"
+ + " nor a closure point.");
+ throw new RuntimeErrorException(cause);
}
//! Returns an ascii formatted internal representation of \p this.
diff --git a/interfaces/Java/parma_polyhedra_library/Generator_System.java b/interfaces/Java/parma_polyhedra_library/Generator_System.java
index 9f59757..7175f2d 100644
--- a/interfaces/Java/parma_polyhedra_library/Generator_System.java
+++ b/interfaces/Java/parma_polyhedra_library/Generator_System.java
@@ -1,6 +1,6 @@
/* Generator_System Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,16 +23,13 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A system of generators.
/*! \ingroup PPL_Java_interface
An object of the class Generator_System is a system of generators,
i.e., a multiset of objects of the class Generator
(lines, rays, points and closure points).
*/
-public class Generator_System extends java.util.Vector<Generator> {
+public class Generator_System extends java.util.ArrayList<Generator> {
//! Default constructor: builds an empty system of generators.
public Generator_System() {
diff --git a/interfaces/Java/parma_polyhedra_library/Generator_Type.java b/interfaces/Java/parma_polyhedra_library/Generator_Type.java
index fcf1786..7e2342d 100644
--- a/interfaces/Java/parma_polyhedra_library/Generator_Type.java
+++ b/interfaces/Java/parma_polyhedra_library/Generator_Type.java
@@ -1,6 +1,6 @@
/* Generator_Type enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Grid_Generator.java b/interfaces/Java/parma_polyhedra_library/Grid_Generator.java
index d02b5c1..3caad9e 100644
--- a/interfaces/Java/parma_polyhedra_library/Grid_Generator.java
+++ b/interfaces/Java/parma_polyhedra_library/Grid_Generator.java
@@ -1,6 +1,6 @@
/* Grid Generator Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,8 +23,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
import javax.management.RuntimeErrorException;
//! A grid line, parameter or grid point.
@@ -49,10 +47,10 @@ public class Grid_Generator {
private Coefficient div;
private Grid_Generator(Linear_Expression e, Coefficient d,
- Grid_Generator_Type generator_type) {
- le = e.clone();
- div = new Coefficient(d);
- gt = generator_type;
+ Grid_Generator_Type generator_type) {
+ le = e.clone();
+ div = new Coefficient(d);
+ gt = generator_type;
}
//! Returns the line of direction \p e.
@@ -62,8 +60,8 @@ public class Grid_Generator {
the vector space.
*/
public static Grid_Generator grid_line(Linear_Expression e) {
- return new Grid_Generator(e, new Coefficient(0),
- Grid_Generator_Type.LINE);
+ return new Grid_Generator(e, new Coefficient(0),
+ Grid_Generator_Type.LINE);
}
//! Returns the parameter at \p e / \p d.
@@ -72,8 +70,8 @@ public class Grid_Generator {
Thrown if \p d is zero.
*/
public static Grid_Generator parameter(Linear_Expression e,
- Coefficient d) {
- return new Grid_Generator(e, d, Grid_Generator_Type.PARAMETER);
+ Coefficient d) {
+ return new Grid_Generator(e, d, Grid_Generator_Type.PARAMETER);
}
//! Returns the point at \p e / \p d.
@@ -82,8 +80,8 @@ public class Grid_Generator {
Thrown if \p d is zero.
*/
public static Grid_Generator grid_point(Linear_Expression e,
- Coefficient d) {
- return new Grid_Generator(e, d, Grid_Generator_Type.POINT);
+ Coefficient d) {
+ return new Grid_Generator(e, d, Grid_Generator_Type.POINT);
}
//! Returns the generator type.
@@ -103,12 +101,12 @@ public class Grid_Generator {
*/
public Coefficient divisor() {
if (this.gt != Grid_Generator_Type.LINE)
- return div;
- Error cause = new Error("parma_polyhedra_library."
+ return div;
+ Error cause = new Error("parma_polyhedra_library."
+ "Grid_Generator::divisor:\n"
- + "this is neither a grid point"
- + " nor a parameter.");
- throw new RuntimeErrorException(cause);
+ + "this is neither a grid point"
+ + " nor a parameter.");
+ throw new RuntimeErrorException(cause);
}
//! Returns an ascii formatted internal representation of \p this.
diff --git a/interfaces/Java/parma_polyhedra_library/Grid_Generator_System.java b/interfaces/Java/parma_polyhedra_library/Grid_Generator_System.java
index 128209a..d9cb51f 100644
--- a/interfaces/Java/parma_polyhedra_library/Grid_Generator_System.java
+++ b/interfaces/Java/parma_polyhedra_library/Grid_Generator_System.java
@@ -1,6 +1,6 @@
/* Grid Generator_System Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,15 +24,13 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A system of grid generators.
/*! \ingroup PPL_Java_interface
An object of the class Grid_Generator_System is a system of grid
generators, i.e., a multiset of objects of the class Grid_Generator.
*/
-public class Grid_Generator_System extends java.util.Vector<Grid_Generator> {
+public class Grid_Generator_System
+ extends java.util.ArrayList<Grid_Generator> {
//! Default constructor: builds an empty system of grid generators.
public Grid_Generator_System() {
diff --git a/interfaces/Java/parma_polyhedra_library/Grid_Generator_Type.java b/interfaces/Java/parma_polyhedra_library/Grid_Generator_Type.java
index 045bbd6..2efdca2 100644
--- a/interfaces/Java/parma_polyhedra_library/Grid_Generator_Type.java
+++ b/interfaces/Java/parma_polyhedra_library/Grid_Generator_Type.java
@@ -1,6 +1,6 @@
/* Grid_Generator_Type enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/IO.java b/interfaces/Java/parma_polyhedra_library/IO.java
index 06e32b8..12b868b 100644
--- a/interfaces/Java/parma_polyhedra_library/IO.java
+++ b/interfaces/Java/parma_polyhedra_library/IO.java
@@ -1,6 +1,6 @@
/* IO Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -44,5 +44,5 @@ public class IO {
The wrapped string.
*/
public static native String wrap_string(String str, int indent_depth,
- int preferred_first_line_length, int preferred_line_length);
+ int preferred_first_line_length, int preferred_line_length);
}
diff --git a/interfaces/Java/parma_polyhedra_library/Invalid_Argument_Exception.java b/interfaces/Java/parma_polyhedra_library/Invalid_Argument_Exception.java
index 2ae39c4..abc803a 100644
--- a/interfaces/Java/parma_polyhedra_library/Invalid_Argument_Exception.java
+++ b/interfaces/Java/parma_polyhedra_library/Invalid_Argument_Exception.java
@@ -1,6 +1,6 @@
/* Invalid_Argument_Exception Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Length_Error_Exception.java b/interfaces/Java/parma_polyhedra_library/Length_Error_Exception.java
index e0a8033..85170da 100644
--- a/interfaces/Java/parma_polyhedra_library/Length_Error_Exception.java
+++ b/interfaces/Java/parma_polyhedra_library/Length_Error_Exception.java
@@ -1,6 +1,6 @@
/* Length_Error_Exception Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression.java
index cddd765..4f224cd 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression.java
@@ -1,6 +1,6 @@
/* Linear_Expression Java declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,9 +23,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A linear expression.
/*! \ingroup PPL_Java_interface
An object of the class Linear_Expression represents a linear expression
@@ -37,22 +34,22 @@ public abstract class Linear_Expression implements Cloneable {
//! Returns the sum of \p this and \p y.
public Linear_Expression sum(Linear_Expression y) {
- return new Linear_Expression_Sum(this, y);
+ return new Linear_Expression_Sum(this, y);
}
//! Returns the difference of \p this and \p y.
public Linear_Expression subtract(Linear_Expression y) {
- return new Linear_Expression_Difference(this, y);
+ return new Linear_Expression_Difference(this, y);
}
//! Returns the product of \p this times \p c.
public Linear_Expression times(Coefficient c) {
- return new Linear_Expression_Times(this, c);
+ return new Linear_Expression_Times(this, c);
}
//! Returns the negation of \p this.
public Linear_Expression unary_minus() {
- return new Linear_Expression_Unary_Minus(this);
+ return new Linear_Expression_Unary_Minus(this);
}
//! Returns a copy of the linear expression.
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Coefficient.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Coefficient.java
index bb18da8..aa0f9f5 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Coefficient.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Coefficient.java
@@ -1,6 +1,6 @@
/* Linear_Expression_Coefficient class definition and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -33,17 +33,17 @@ public class Linear_Expression_Coefficient
//! Builds the object corresponding to a copy of the coefficient \p c.
public Linear_Expression_Coefficient(Coefficient c) {
- coeff = new Coefficient(c);
+ coeff = new Coefficient(c);
}
//! Returns coefficient representing the linear expression.
public Coefficient argument() {
- return coeff;
+ return coeff;
}
//! Builds a copy of this.
public Linear_Expression_Coefficient clone() {
- return new Linear_Expression_Coefficient(coeff);
+ return new Linear_Expression_Coefficient(coeff);
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Difference.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Difference.java
index e30c4b2..614bb02 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Difference.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Difference.java
@@ -1,6 +1,6 @@
/* Linear_Expression_Difference class definition and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -39,24 +39,24 @@ public class Linear_Expression_Difference
\p y.
*/
public Linear_Expression_Difference(Linear_Expression x,
- Linear_Expression y) {
+ Linear_Expression y) {
lhs = x.clone();
rhs = y.clone();
}
//! Returns the left hand side of \p this.
public Linear_Expression left_hand_side() {
- return lhs;
+ return lhs;
}
//! Returns the left hand side of \p this.
public Linear_Expression right_hand_side() {
- return rhs;
+ return rhs;
}
//! Builds a copy of this.
public Linear_Expression_Difference clone() {
- return new Linear_Expression_Difference(lhs, rhs);
+ return new Linear_Expression_Difference(lhs, rhs);
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Sum.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Sum.java
index 2940fb3..70f3930 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Sum.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Sum.java
@@ -1,6 +1,6 @@
/* Linear_Expression_Sum class definition and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -42,17 +42,17 @@ public class Linear_Expression_Sum
//! Returns the left hand side of \p this.
public Linear_Expression left_hand_side() {
- return lhs;
+ return lhs;
}
//! Returns the right hand side of \p this.
public Linear_Expression right_hand_side() {
- return rhs;
+ return rhs;
}
//! Builds a copy of this.
public Linear_Expression_Sum clone() {
- return new Linear_Expression_Sum(lhs, rhs);
+ return new Linear_Expression_Sum(lhs, rhs);
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Times.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Times.java
index f6fe741..3cc64f6 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Times.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Times.java
@@ -1,6 +1,6 @@
/* Linear_Expression_Times class definition and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -36,35 +36,35 @@ public class Linear_Expression_Times
//! Builds an object cloning the input arguments.
public Linear_Expression_Times(Coefficient c, Variable v) {
- coeff = new Coefficient(c);
- lin_expr = new Linear_Expression_Variable(v);
+ coeff = new Coefficient(c);
+ lin_expr = new Linear_Expression_Variable(v);
}
//! Builds an object cloning the input arguments.
public Linear_Expression_Times(Coefficient c, Linear_Expression l) {
- coeff = new Coefficient(c);
- lin_expr = l.clone();
+ coeff = new Coefficient(c);
+ lin_expr = l.clone();
}
//! Builds an object cloning the input arguments.
public Linear_Expression_Times(Linear_Expression l, Coefficient c) {
- coeff = new Coefficient(c);
- lin_expr = l.clone();
+ coeff = new Coefficient(c);
+ lin_expr = l.clone();
}
//! Returns the coefficient of \p this.
public Coefficient coefficient() {
- return coeff;
+ return coeff;
}
//! Returns the linear expression subobject of \p this.
public Linear_Expression linear_expression() {
- return lin_expr;
+ return lin_expr;
}
//! Builds a copy of this.
public Linear_Expression_Times clone() {
- return new Linear_Expression_Times(coeff, lin_expr);
+ return new Linear_Expression_Times(coeff, lin_expr);
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Unary_Minus.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Unary_Minus.java
index 4c045b1..dae5a35 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Unary_Minus.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Unary_Minus.java
@@ -1,6 +1,6 @@
/* Linear_Expression_Unary_Minus class definition and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -33,12 +33,12 @@ public class Linear_Expression_Unary_Minus
//! Builds an object that represents the negation of the copy \p x.
public Linear_Expression_Unary_Minus(Linear_Expression x) {
- arg = x.clone();
+ arg = x.clone();
}
//! Returns the value that \p this negates.
public Linear_Expression argument() {
- return arg;
+ return arg;
}
//! Builds a copy of this.
diff --git a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Variable.java b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Variable.java
index 80811a6..b2afb29 100644
--- a/interfaces/Java/parma_polyhedra_library/Linear_Expression_Variable.java
+++ b/interfaces/Java/parma_polyhedra_library/Linear_Expression_Variable.java
@@ -1,6 +1,6 @@
/* Linear_Expression_Variable class definition and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -32,7 +32,7 @@ extends Linear_Expression {
//! Builds the object associated to the copy of \p v.
public Linear_Expression_Variable(Variable v) {
- arg = new Variable(v.id());
+ arg = new Variable(v.id());
}
//! Returns the variable representing the linear expression.
@@ -42,10 +42,10 @@ extends Linear_Expression {
//! Builds a copy of this.
public Linear_Expression_Variable clone() {
- return new Linear_Expression_Variable(arg);
+ return new Linear_Expression_Variable(arg);
}
- private int var_id() {
+ private long var_id() {
return arg.id();
}
diff --git a/interfaces/Java/parma_polyhedra_library/Logic_Error_Exception.java b/interfaces/Java/parma_polyhedra_library/Logic_Error_Exception.java
index 1376bd3..3fc2cc1 100644
--- a/interfaces/Java/parma_polyhedra_library/Logic_Error_Exception.java
+++ b/interfaces/Java/parma_polyhedra_library/Logic_Error_Exception.java
@@ -1,6 +1,6 @@
/* Logic_Error_Exception Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/MIP_Problem.java b/interfaces/Java/parma_polyhedra_library/MIP_Problem.java
index 86aa387..13c2159 100644
--- a/interfaces/Java/parma_polyhedra_library/MIP_Problem.java
+++ b/interfaces/Java/parma_polyhedra_library/MIP_Problem.java
@@ -1,6 +1,6 @@
/* MIP_Problem Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,9 +24,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A Mixed Integer (linear) Programming problem.
/*! \ingroup PPL_Java_interface
An object of this class encodes a mixed integer (linear) programming problem.
@@ -72,7 +69,7 @@ public class MIP_Problem extends PPL_Object {
Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
*/
public MIP_Problem(long dim) {
- build_cpp_object(dim);
+ build_cpp_object(dim);
}
/*! \brief
@@ -102,12 +99,12 @@ public class MIP_Problem extends PPL_Object {
*/
public MIP_Problem(long dim, Constraint_System cs, Linear_Expression obj,
Optimization_Mode mode) {
- build_cpp_object(dim, cs, obj, mode);
+ build_cpp_object(dim, cs, obj, mode);
}
//! Builds a copy of \p y.
public MIP_Problem(MIP_Problem y) {
- build_cpp_object(y);
+ build_cpp_object(y);
}
/*! \brief
@@ -265,8 +262,8 @@ public class MIP_Problem extends PPL_Object {
or if the generator \p evaluating_point is not a point.
*/
public native void evaluate_objective_function(Generator evaluating_point,
- Coefficient num,
- Coefficient den);
+ Coefficient num,
+ Coefficient den);
//! Returns a feasible point for \p this, if it exists.
/*!
@@ -316,9 +313,9 @@ public class MIP_Problem extends PPL_Object {
//! Builds the underlying C++ object.
private native void build_cpp_object(long dim,
- Constraint_System cs,
- Linear_Expression obj,
- Optimization_Mode mode);
+ Constraint_System cs,
+ Linear_Expression obj,
+ Optimization_Mode mode);
//! Builds the underlying C++ object.
private native void build_cpp_object(MIP_Problem y);
diff --git a/interfaces/Java/parma_polyhedra_library/MIP_Problem_Status.java b/interfaces/Java/parma_polyhedra_library/MIP_Problem_Status.java
index 803278c..810d8be 100644
--- a/interfaces/Java/parma_polyhedra_library/MIP_Problem_Status.java
+++ b/interfaces/Java/parma_polyhedra_library/MIP_Problem_Status.java
@@ -1,6 +1,6 @@
/* MIP_Problem_Status enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Makefile.am b/interfaces/Java/parma_polyhedra_library/Makefile.am
index 7031ed5..90a4801 100644
--- a/interfaces/Java/parma_polyhedra_library/Makefile.am
+++ b/interfaces/Java/parma_polyhedra_library/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -186,6 +186,7 @@ $(srcdir)/PPL_Object.java \
$(srcdir)/Relation_Symbol.java \
$(srcdir)/Timeout_Exception.java \
$(srcdir)/Variable.java \
+$(srcdir)/Variable_Stringifier.java \
$(srcdir)/Variables_Set.java
# NOTE: do _NOT_ add Fake_Class_for_Doxygen.java to this list.
diff --git a/interfaces/Java/parma_polyhedra_library/Makefile.in b/interfaces/Java/parma_polyhedra_library/Makefile.in
index 3273a1c..e5d7b71 100644
--- a/interfaces/Java/parma_polyhedra_library/Makefile.in
+++ b/interfaces/Java/parma_polyhedra_library/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -57,7 +73,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Java/parma_polyhedra_library
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -90,14 +107,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -454,6 +482,7 @@ $(srcdir)/PPL_Object.java \
$(srcdir)/Relation_Symbol.java \
$(srcdir)/Timeout_Exception.java \
$(srcdir)/Variable.java \
+$(srcdir)/Variable_Stringifier.java \
$(srcdir)/Variables_Set.java
@@ -594,6 +623,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
diff --git a/interfaces/Java/parma_polyhedra_library/Optimization_Mode.java b/interfaces/Java/parma_polyhedra_library/Optimization_Mode.java
index 95a31ff..a5ef51f 100644
--- a/interfaces/Java/parma_polyhedra_library/Optimization_Mode.java
+++ b/interfaces/Java/parma_polyhedra_library/Optimization_Mode.java
@@ -1,6 +1,6 @@
/* Optimization_Mode enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Overflow_Error_Exception.java b/interfaces/Java/parma_polyhedra_library/Overflow_Error_Exception.java
index 532656c..b66bf15 100644
--- a/interfaces/Java/parma_polyhedra_library/Overflow_Error_Exception.java
+++ b/interfaces/Java/parma_polyhedra_library/Overflow_Error_Exception.java
@@ -1,6 +1,6 @@
/* Overflow_Error_Exception Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Decision_Node.java b/interfaces/Java/parma_polyhedra_library/PIP_Decision_Node.java
index 8861f87..ad6f6c9 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Decision_Node.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Decision_Node.java
@@ -1,6 +1,6 @@
/* PIP_Decision_Node Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,9 +24,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! An internal node of the PIP solution tree.
public class PIP_Decision_Node extends PIP_Tree_Node {
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Problem.java b/interfaces/Java/parma_polyhedra_library/PIP_Problem.java
index ce7bd87..9a0df31 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Problem.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Problem.java
@@ -1,6 +1,6 @@
/* PIP_Problem Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,9 +24,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A Parametric Integer Programming problem.
/*! \ingroup PPL_Java_interface
An object of this class encodes a parametric integer (linear)
@@ -111,7 +108,7 @@ public class PIP_Problem extends PPL_Object {
Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
*/
public PIP_Problem(long dim) {
- build_cpp_object(dim);
+ build_cpp_object(dim);
}
//! Builds a PIP problem from a sequence of constraints.
@@ -121,12 +118,12 @@ public class PIP_Problem extends PPL_Object {
parameters.
*/
public PIP_Problem(long dim, Constraint_System cs, Variables_Set params) {
- build_cpp_object(dim, cs, params);
+ build_cpp_object(dim, cs, params);
}
//! Builds a copy of \p y.
public PIP_Problem(PIP_Problem y) {
- build_cpp_object(y);
+ build_cpp_object(y);
}
/*! \brief
@@ -318,7 +315,7 @@ public class PIP_Problem extends PPL_Object {
//! Builds the underlying C++ object.
private native void build_cpp_object(long dim,
- Constraint_System cs,
+ Constraint_System cs,
Variables_Set vars);
//! Builds the underlying C++ object.
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Name.java b/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Name.java
index 6049759..2a2d2df 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Name.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Name.java
@@ -1,6 +1,6 @@
/* PIP_Problem PIP_Problem_Control_Parameter_Name enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Value.java b/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Value.java
index b63f4d0..44fa3f7 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Value.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Problem_Control_Parameter_Value.java
@@ -1,6 +1,6 @@
/* PIP_Problem PIP_Problem_Control_Parameter_Value enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Problem_Status.java b/interfaces/Java/parma_polyhedra_library/PIP_Problem_Status.java
index e904446..ae2b022 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Problem_Status.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Problem_Status.java
@@ -1,6 +1,6 @@
/* PIP_Problem_Status enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Solution_Node.java b/interfaces/Java/parma_polyhedra_library/PIP_Solution_Node.java
index 5e35320..958cfa2 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Solution_Node.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Solution_Node.java
@@ -1,6 +1,6 @@
/* PIP_Solution_Node Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,9 +24,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A leaf node of the PIP solution tree.
public class PIP_Solution_Node extends PIP_Tree_Node {
diff --git a/interfaces/Java/parma_polyhedra_library/PIP_Tree_Node.java b/interfaces/Java/parma_polyhedra_library/PIP_Tree_Node.java
index 1deba93..1addb94 100644
--- a/interfaces/Java/parma_polyhedra_library/PIP_Tree_Node.java
+++ b/interfaces/Java/parma_polyhedra_library/PIP_Tree_Node.java
@@ -1,6 +1,6 @@
/* PIP_Tree_Node Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,9 +24,6 @@ site: http://bugseng.com/products/ppl/ . */
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
//! A node of the PIP solution tree.
/*!
This is the base class for the nodes of the binary trees representing
diff --git a/interfaces/Java/parma_polyhedra_library/PPL_Object.java b/interfaces/Java/parma_polyhedra_library/PPL_Object.java
index 071eed9..1aa23e4 100644
--- a/interfaces/Java/parma_polyhedra_library/PPL_Object.java
+++ b/interfaces/Java/parma_polyhedra_library/PPL_Object.java
@@ -1,6 +1,6 @@
/* PPL_Object Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -36,7 +36,7 @@ public class PPL_Object {
//! Builds an object that points to `null'.
protected PPL_Object() {
- ptr = 0;
+ ptr = 0;
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Pair.java b/interfaces/Java/parma_polyhedra_library/Pair.java
index 499347e..c3f986f 100644
--- a/interfaces/Java/parma_polyhedra_library/Pair.java
+++ b/interfaces/Java/parma_polyhedra_library/Pair.java
@@ -1,6 +1,6 @@
/* Pair Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -37,12 +37,12 @@ public class Pair<K, V> {
//! Returns the object of type K.
public K getFirst() {
- return first;
+ return first;
}
//! Returns the object of type V.
public V getSecond() {
- return second;
+ return second;
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Parma_Polyhedra_Library.java b/interfaces/Java/parma_polyhedra_library/Parma_Polyhedra_Library.java
index 2e222b3..b2b34f0 100644
--- a/interfaces/Java/parma_polyhedra_library/Parma_Polyhedra_Library.java
+++ b/interfaces/Java/parma_polyhedra_library/Parma_Polyhedra_Library.java
@@ -1,6 +1,6 @@
/* Parma_Polyhedra_Library Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -105,7 +105,7 @@ site: http://bugseng.com/products/ppl/ . */
- In the following, any of the above numerical
abstract domains is called a PPL <EM>domain</EM>
- and any element of a PPL domain is called a <EM>PPL object</EM>.
+ and any element of a PPL domain is called a PPL <EM>object</EM>.
- A Java program can create a new object for a PPL domain by
using the constructors for the class corresponding to the domain.
@@ -129,6 +129,22 @@ site: http://bugseng.com/products/ppl/ . */
\extref{representation, Representations of Convex Polyhedra}
of the main PPL user manual.
+ - A <EM>system</EM> of constraints (i.e., an instance of class
+ <CODE>parma_polyhedra_library.Constraint_System</CODE>)
+ is implemented by extending class <CODE>java.util.ArrayList</CODE>
+ (note: <CODE>java.util.Vector</CODE> was used up to version 1.0.)
+ As a consequence, it is possible to iterate over the constraints
+ in the system by using corresponding inherited methods. Similarly,
+ it is possible to modify a system of constraints by using methods
+ such as <CODE>add</CODE>; be warned, however, that the constraint
+ system obtained from a PPL object is a <EM>copy</EM> of the (C++)
+ data structure used in the object itself: any modification will not
+ directly affect the original PPL object; clearly, the modified
+ constraint system can be used with appropriate methods to,
+ e.g., build a new PPL object or modify an existing one.
+ The same observations apply to systems of congruences and
+ systems of (grid) generators.
+
*/ /* \mainpage */
/*! \brief The PPL Java interface package.
diff --git a/interfaces/Java/parma_polyhedra_library/Partial_Function.java b/interfaces/Java/parma_polyhedra_library/Partial_Function.java
index 7219baf..c8e926d 100644
--- a/interfaces/Java/parma_polyhedra_library/Partial_Function.java
+++ b/interfaces/Java/parma_polyhedra_library/Partial_Function.java
@@ -1,6 +1,6 @@
/* Partial_Function Java interface declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -34,7 +34,7 @@ public class Partial_Function extends PPL_Object {
Builds the empty map.
*/
public Partial_Function() {
- build_cpp_object();
+ build_cpp_object();
}
/*! \brief
diff --git a/interfaces/Java/parma_polyhedra_library/Poly_Con_Relation.java b/interfaces/Java/parma_polyhedra_library/Poly_Con_Relation.java
index 39a0bb7..e1dc9fd 100644
--- a/interfaces/Java/parma_polyhedra_library/Poly_Con_Relation.java
+++ b/interfaces/Java/parma_polyhedra_library/Poly_Con_Relation.java
@@ -1,6 +1,6 @@
/* Poly_Con_Relation Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -41,12 +41,12 @@ public class Poly_Con_Relation {
//! Constructs from a integer value.
public Poly_Con_Relation(int val) {
- mask_value = val;
+ mask_value = val;
}
//! The assertion that says nothing.
public static Poly_Con_Relation nothing() {
- return new Poly_Con_Relation(Poly_Con_Relation.NOTHING);
+ return new Poly_Con_Relation(Poly_Con_Relation.NOTHING);
}
/*! \brief
@@ -54,7 +54,7 @@ public class Poly_Con_Relation {
the constraint are disjoint.
*/
public static Poly_Con_Relation is_disjoint() {
- return new Poly_Con_Relation(Poly_Con_Relation.IS_DISJOINT);
+ return new Poly_Con_Relation(Poly_Con_Relation.IS_DISJOINT);
}
/*! \brief
@@ -62,7 +62,7 @@ public class Poly_Con_Relation {
the constraint, but it is not included in it.
*/
public static Poly_Con_Relation strictly_intersects() {
- return new Poly_Con_Relation(Poly_Con_Relation.STRICTLY_INTERSECTS);
+ return new Poly_Con_Relation(Poly_Con_Relation.STRICTLY_INTERSECTS);
}
/*! \brief
@@ -70,7 +70,7 @@ public class Poly_Con_Relation {
the constraint.
*/
public static Poly_Con_Relation is_included() {
- return new Poly_Con_Relation(Poly_Con_Relation.IS_INCLUDED);
+ return new Poly_Con_Relation(Poly_Con_Relation.IS_INCLUDED);
}
/*! \brief
@@ -78,12 +78,12 @@ public class Poly_Con_Relation {
the constraint.
*/
public static Poly_Con_Relation saturates() {
- return new Poly_Con_Relation(Poly_Con_Relation.SATURATES);
+ return new Poly_Con_Relation(Poly_Con_Relation.SATURATES);
}
//! True if and only if \p this implies \p y.
public boolean implies(Poly_Con_Relation y) {
- return (this.mask_value & y.mask_value) == y.mask_value;
+ return (this.mask_value & y.mask_value) == y.mask_value;
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Poly_Gen_Relation.java b/interfaces/Java/parma_polyhedra_library/Poly_Gen_Relation.java
index a99d1ed..1ae906d 100644
--- a/interfaces/Java/parma_polyhedra_library/Poly_Gen_Relation.java
+++ b/interfaces/Java/parma_polyhedra_library/Poly_Gen_Relation.java
@@ -1,6 +1,6 @@
/* Poly_Gen_Relation Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -38,22 +38,22 @@ public class Poly_Gen_Relation {
//! Constructs from a integer value.
public Poly_Gen_Relation(int val) {
- mask_value = val;
+ mask_value = val;
}
//! The assertion that says nothing.
public static Poly_Gen_Relation nothing() {
- return new Poly_Gen_Relation(Poly_Gen_Relation.NOTHING);
+ return new Poly_Gen_Relation(Poly_Gen_Relation.NOTHING);
}
//! Adding the generator would not change the polyhedron.
public static Poly_Gen_Relation subsumes() {
- return new Poly_Gen_Relation(Poly_Gen_Relation.SUBSUMES);
+ return new Poly_Gen_Relation(Poly_Gen_Relation.SUBSUMES);
}
//! True if and only if \p this implies \p y.
public boolean implies(Poly_Gen_Relation y) {
- return (this.mask_value & y.mask_value) == y.mask_value;
+ return (this.mask_value & y.mask_value) == y.mask_value;
}
private static native void initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Relation_Symbol.java b/interfaces/Java/parma_polyhedra_library/Relation_Symbol.java
index b3de214..f696016 100644
--- a/interfaces/Java/parma_polyhedra_library/Relation_Symbol.java
+++ b/interfaces/Java/parma_polyhedra_library/Relation_Symbol.java
@@ -1,6 +1,6 @@
/* Relation_Symbol enum declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -35,7 +35,9 @@ public enum Relation_Symbol {
//! Greater than or equal to.
GREATER_OR_EQUAL,
//! Greater than.
- GREATER_THAN;
+ GREATER_THAN,
+ //! Not equal to.
+ NOT_EQUAL;
private static native void initIDs();
static {
diff --git a/interfaces/Java/parma_polyhedra_library/Timeout_Exception.java b/interfaces/Java/parma_polyhedra_library/Timeout_Exception.java
index 848d9ff..a5da527 100644
--- a/interfaces/Java/parma_polyhedra_library/Timeout_Exception.java
+++ b/interfaces/Java/parma_polyhedra_library/Timeout_Exception.java
@@ -1,6 +1,6 @@
/* Timeout_Exception Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/Variable.java b/interfaces/Java/parma_polyhedra_library/Variable.java
index 7d1d66f..2ebe8ac 100644
--- a/interfaces/Java/parma_polyhedra_library/Variable.java
+++ b/interfaces/Java/parma_polyhedra_library/Variable.java
@@ -1,6 +1,6 @@
/* Variable Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -37,37 +37,57 @@ import javax.management.RuntimeErrorException;
*/
public class Variable implements Comparable<Variable> {
//! The index of the Cartesian axis.
- private int varid;
+ private long varid;
//! Builds the variable corresponding to the Cartesian axis of index \p i.
/*!
\exception RuntimeErrorException
Thrown if <CODE>i</CODE> is has negative value.
*/
- public Variable(int i) {
- if (i < 0)
- throw new
- RuntimeErrorException(new Error("parma_polyhedra_library.Variable::"
- + "Variable:"
- + " an index variable"
- + " cannot be negative."));
- varid = i;
+ public Variable(long i) {
+ if (i < 0)
+ throw new
+ RuntimeErrorException(new Error("parma_polyhedra_library.Variable::"
+ + "Variable:"
+ + " an index variable"
+ + " cannot be negative."));
+ varid = i;
}
//! Returns the index of the Cartesian axis associated to \p this.
- public int id() {
- return varid;
+ public long id() {
+ return varid;
}
- /*! \brief
- Returns a negative number if \p this comes first than \p v,
- a zero if \p this equals \p v, a positive number if
- if \p this comes first than \p v.
- */
+ /*! \brief
+ Returns a negative number if \p this is smaller than \p v,
+ a zero if \p this equals \p v, a positive number if \p v
+ is greater than \p v.
+ */
public int compareTo(Variable v) {
- return varid - v.varid;
+ if (varid < v.varid)
+ return -1;
+ else if (varid == v.varid)
+ return 0;
+ else
+ return 1;
}
+ //! Optional customization provider for \c toString.
+ private static Variable_Stringifier stringifier;
+
+ /*! \brief
+ Sets the variable stringifier object.
+
+ A variable stringifier object provides customization for the
+ \c toString method; if no variable stringifier object is set
+ (or if it is set to a null refeerence value), the PPL default
+ variable output function will be used.
+ */
+ public static native void setStringifier(Variable_Stringifier vs);
+
+ public native String toString();
+
private static native void initIDs();
static {
initIDs();
diff --git a/interfaces/Java/parma_polyhedra_library/Variable_Stringifier.java b/interfaces/Java/parma_polyhedra_library/Variable_Stringifier.java
new file mode 100644
index 0000000..5349c98
--- /dev/null
+++ b/interfaces/Java/parma_polyhedra_library/Variable_Stringifier.java
@@ -0,0 +1,33 @@
+/* Variable_Stringifier Java interface.
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+package parma_polyhedra_library;
+
+//! An interface for objects converting a Variable id to a string.
+/*! \ingroup PPL_Java_interface
+ If customized variable output is required, the user should implement
+ this interface and pass a corresponding instance to Variable's static
+ method \c setStringifier.
+*/
+public interface Variable_Stringifier {
+ public String stringify(long var_id);
+}
diff --git a/interfaces/Java/parma_polyhedra_library/Variables_Set.java b/interfaces/Java/parma_polyhedra_library/Variables_Set.java
index a4c1861..8140a1e 100644
--- a/interfaces/Java/parma_polyhedra_library/Variables_Set.java
+++ b/interfaces/Java/parma_polyhedra_library/Variables_Set.java
@@ -1,6 +1,6 @@
/* Variables_Set Java class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java.m4 b/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java.m4
index dda8588..3f7424f 100644
--- a/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java.m4
+++ b/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the files <CLASS_NAME>.java
dnl using the code in ppl_interface_generator_java_classes_java_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -61,9 +61,6 @@ m4_include(`ppl_interface_generator_copyright')`'dnl
package parma_polyhedra_library;
-import java.io.Writer;
-import java.io.IOException;
-
/*! \brief
Java class interfacing C++ m4_this_cplusplus_class
\ingroup PPL_java_interface
diff --git a/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java_code.m4 b/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java_code.m4
index cb86f1f..3f71d75 100644
--- a/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java_code.m4
+++ b/interfaces/Java/parma_polyhedra_library/ppl_interface_generator_java_classes_java_code.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
This m4 file contains the code for generating files <CLASS_NAME>.java
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -538,7 +538,7 @@ m4_define(`ppl_ at CLASS@_drop_some_non_integer_points_code',
___END_OF_FILE___
___BEGIN_OF_FILE___ @CLASS at .java << ___END_OF_FILE___
public native void drop_some_non_integer_points
- (Integer complexity_threshold);
+ (Complexity_Class complexity);
')
@@ -546,8 +546,8 @@ m4_define(`ppl_ at CLASS@_drop_some_non_integer_points_2_code',
`dnl
___END_OF_FILE___
___BEGIN_OF_FILE___ @CLASS at .java << ___END_OF_FILE___
- public native void drop_some_non_integer_points_2
- (Variables_Set vars, Integer complexity_threshold);
+ public native void drop_some_non_integer_points
+ (Variables_Set vars, Complexity_Class complexity);
')
diff --git a/interfaces/Java/ppl_interface_generator_java_procedure_generators.m4 b/interfaces/Java/ppl_interface_generator_java_procedure_generators.m4
index b81340a..a05b5ae 100644
--- a/interfaces/Java/ppl_interface_generator_java_procedure_generators.m4
+++ b/interfaces/Java/ppl_interface_generator_java_procedure_generators.m4
@@ -5,7 +5,7 @@ dnl for the Java interface; this includes:
dnl - the list in the imported file and any Java specific methods.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Java/tests/C_Polyhedron_test1.java b/interfaces/Java/tests/C_Polyhedron_test1.java
index e902668..674d4aa 100644
--- a/interfaces/Java/tests/C_Polyhedron_test1.java
+++ b/interfaces/Java/tests/C_Polyhedron_test1.java
@@ -1,7 +1,7 @@
/* Test C_Polyhedron Java test class of the Parma Polyhedra Library Java
interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,87 +22,105 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.math.BigInteger;
-import java.util.Iterator;
-import java.util.Vector;
import parma_polyhedra_library.*;
public class C_Polyhedron_test1 {
-static {
- try {
- System.loadLibrary("ppl_java");
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
}
- catch (UnsatisfiedLinkError e) {
- System.out.println("Unable to load the library");
- System.out.println(e.getMessage());
- System.exit(-1);
- }
-}
// This code tests the method `map_space_dimension(pfunc)'.
public static boolean test01() {
- Partial_Function partial_function = new Partial_Function();
- partial_function.insert(0, 2);
- partial_function.insert(2, 0);
- partial_function.insert(1, 1);
- Variable A = new Variable(0);
- Variable B = new Variable(1);
- Variable C = new Variable(2);
- Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
- Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
- Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
- Linear_Expression_Sum le_a_plus_b
+ Partial_Function partial_function = new Partial_Function();
+ partial_function.insert(0, 2);
+ partial_function.insert(2, 0);
+ partial_function.insert(1, 1);
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Variable C = new Variable(2);
+ Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
+ Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Linear_Expression_Sum le_a_plus_b
= new Linear_Expression_Sum(le_a, le_b);
- Linear_Expression_Sum le_a_plus_c
+ Linear_Expression_Sum le_a_plus_c
= new Linear_Expression_Sum(le_a, le_c);
- Linear_Expression_Sum le_c_plus_b
+ Linear_Expression_Sum le_c_plus_b
= new Linear_Expression_Sum(le_c, le_b);
- Linear_Expression_Sum le_c_plus_a
+ Linear_Expression_Sum le_c_plus_a
= new Linear_Expression_Sum(le_c, le_a);
- Linear_Expression_Coefficient le_two
- = new Linear_Expression_Coefficient(new Coefficient(2));
- Linear_Expression_Times le_2c
- = new Linear_Expression_Times(le_c, new Coefficient(2));
- Linear_Expression_Times le_2a
- = new Linear_Expression_Times(le_a, new Coefficient(2));
-
- Generator_System gs = new Generator_System();
- gs.add(Generator.point(le_2c, new Coefficient(1)));
- gs.add(Generator.line(le_a_plus_b));
- gs.add(Generator.ray(le_a_plus_c));
-
- C_Polyhedron poly1 = new C_Polyhedron(gs);
- poly1.map_space_dimensions(partial_function);
-
- Generator_System known_gs = new Generator_System();
- known_gs.add(Generator.point(le_2a, new Coefficient(1)));
- known_gs.add(Generator.line(le_c_plus_b));
- known_gs.add(Generator.ray(le_c_plus_a));
-
- C_Polyhedron known_result = new C_Polyhedron(known_gs);
- return known_result.equals(poly1);
+ Linear_Expression_Coefficient le_two
+ = new Linear_Expression_Coefficient(new Coefficient(2));
+ Linear_Expression_Times le_2c
+ = new Linear_Expression_Times(le_c, new Coefficient(2));
+ Linear_Expression_Times le_2a
+ = new Linear_Expression_Times(le_a, new Coefficient(2));
+
+ Generator_System gs = new Generator_System();
+ gs.add(Generator.point(le_2c, new Coefficient(1)));
+ gs.add(Generator.line(le_a_plus_b));
+ gs.add(Generator.ray(le_a_plus_c));
+
+ C_Polyhedron poly1 = new C_Polyhedron(gs);
+ poly1.map_space_dimensions(partial_function);
+
+ Generator_System known_gs = new Generator_System();
+ known_gs.add(Generator.point(le_2a, new Coefficient(1)));
+ known_gs.add(Generator.line(le_c_plus_b));
+ known_gs.add(Generator.ray(le_c_plus_a));
+
+ C_Polyhedron known_result = new C_Polyhedron(known_gs);
+ return known_result.equals(poly1);
}
public static boolean test02() {
- // Test if `minimized_constraints' returns an empty Constraint_System
- // if the Polyhedron is built from universe with a dimension greater
- // than zero.
- Variable X = new Variable(0);
- Variable Y = new Variable(1);
- Variable Z = new Variable(2);
- C_Polyhedron ph = new C_Polyhedron(3, Degenerate_Element.UNIVERSE);
- Constraint_System cs = ph.minimized_constraints();
- return cs.isEmpty();
+ // Test if `minimized_constraints' returns an empty Constraint_System
+ // if the Polyhedron is built from universe with a dimension greater
+ // than zero.
+ Variable X = new Variable(0);
+ Variable Y = new Variable(1);
+ Variable Z = new Variable(2);
+ C_Polyhedron ph = new C_Polyhedron(3, Degenerate_Element.UNIVERSE);
+ Constraint_System cs = ph.minimized_constraints();
+ return cs.isEmpty();
+ }
+
+ public static boolean test03() {
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Generator_System gs = new Generator_System();
+ gs.add(Generator.point(new Linear_Expression_Variable(A),
+ new Coefficient(2)));
+ gs.add(Generator.point(new Linear_Expression_Variable(B),
+ new Coefficient(2)));
+ C_Polyhedron ph = new C_Polyhedron(gs);
+ Variables_Set var_set = new Variables_Set();
+ var_set.add(B);
+ ph.drop_some_non_integer_points(var_set,
+ Complexity_Class.ANY_COMPLEXITY);
+ Generator_System gs_out = ph.minimized_generators();
+ boolean ok = (gs_out.size() == 1);
+ ph.drop_some_non_integer_points(Complexity_Class.ANY_COMPLEXITY);
+ gs_out = ph.minimized_generators();
+ ok = ok && gs_out.isEmpty();
+ return ok;
}
public static void main(String[] args) {
Parma_Polyhedra_Library.initialize_library();
- boolean test_result_ok =
- Test_Executor.executeTests(C_Polyhedron_test1.class);
+ boolean test_result_ok =
+ Test_Executor.executeTests(C_Polyhedron_test1.class);
Parma_Polyhedra_Library.finalize_library();
- if (!test_result_ok)
- System.exit(1);
- System.exit(0);
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
}
}
diff --git a/interfaces/Java/tests/Custom_Variable_Stringifier.java b/interfaces/Java/tests/Custom_Variable_Stringifier.java
new file mode 100644
index 0000000..899107c
--- /dev/null
+++ b/interfaces/Java/tests/Custom_Variable_Stringifier.java
@@ -0,0 +1,29 @@
+/* A class providing customized variable output for Java.
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+import parma_polyhedra_library.*;
+
+public class Custom_Variable_Stringifier implements Variable_Stringifier {
+ public String stringify(long var_id) {
+ return "Var_" + var_id;
+ }
+}
diff --git a/interfaces/Java/tests/MIP_Problem_test1.java b/interfaces/Java/tests/MIP_Problem_test1.java
index e687338..23019be 100644
--- a/interfaces/Java/tests/MIP_Problem_test1.java
+++ b/interfaces/Java/tests/MIP_Problem_test1.java
@@ -1,7 +1,7 @@
/* Test MIP_Problem Java test class of the Parma Polyhedra Library Java
interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,49 +22,45 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.math.BigInteger;
-import java.util.Iterator;
-import java.util.Vector;
import parma_polyhedra_library.*;
-
public class MIP_Problem_test1 {
-static {
- try {
- System.loadLibrary("ppl_java");
- }
- catch (UnsatisfiedLinkError e) {
- System.out.println("Unable to load the library");
- System.out.println(e.getMessage());
- System.exit(-1);
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
}
-}
// This code tests the MIP_Problem methods.
public static boolean test01() {
- Variable A = new Variable(0);
- Variable B = new Variable(1);
- Variable C = new Variable(2);
- Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
- Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
- Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Variable C = new Variable(2);
+ Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
+ Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_3 = new Coefficient(3);
Coefficient coeff_5 = new Coefficient(5);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
- Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
+ Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
- // Constraint declarations.
- Constraint c_a_geq_1
+ // Constraint declarations.
+ Constraint c_a_geq_1
= new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_a_leq_5
+ Constraint c_a_leq_5
= new Constraint(le_a, Relation_Symbol.LESS_OR_EQUAL, le_5);
- Constraint c_b_geq_3
+ Constraint c_b_geq_3
= new Constraint(le_b, Relation_Symbol.GREATER_OR_EQUAL, le_3);
- Constraint constraint1 = c_a_geq_1;
- Constraint constraint2 = c_b_geq_3;
- Constraint_System constraints1 = new Constraint_System();
+ Constraint constraint1 = c_a_geq_1;
+ Constraint constraint2 = c_b_geq_3;
+ Constraint_System constraints1 = new Constraint_System();
constraints1.add(constraint1);
C_Polyhedron ph1 = new C_Polyhedron(3, Degenerate_Element.UNIVERSE);
ph1.add_constraints(constraints1);
@@ -72,7 +68,7 @@ static {
ph2.add_constraints(constraints1);
ph2.add_constraint(constraint2);
- MIP_Problem mip1
+ MIP_Problem mip1
= new MIP_Problem(3, constraints1, le_a,
Optimization_Mode.MAXIMIZATION);
Constraint_System mip1_constraints = mip1.constraints();
@@ -108,36 +104,36 @@ static {
mip3_ph.add_constraints(mip3_constraints);
ok = ok && mip3_ph.equals(ph2);
- return ok;
+ return ok;
}
// This code tests more MIP_Problem methods.
public static boolean test02() {
- Variable A = new Variable(0);
- Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Variable A = new Variable(0);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
Coefficient coeff_0 = new Coefficient(0);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_5 = new Coefficient(5);
Coefficient coeff_8 = new Coefficient(8);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
- Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
+ Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
- // Constraint declarations.
- Constraint c_a_geq_1
+ // Constraint declarations.
+ Constraint c_a_geq_1
= new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_a_leq_5
+ Constraint c_a_leq_5
= new Constraint(le_a, Relation_Symbol.LESS_OR_EQUAL, le_5);
- Constraint c_a_eq_8
+ Constraint c_a_eq_8
= new Constraint(le_a, Relation_Symbol.EQUAL, le_8);
- Constraint constraint1 = c_a_geq_1;
- Constraint_System constraints1 = new Constraint_System();
+ Constraint constraint1 = c_a_geq_1;
+ Constraint_System constraints1 = new Constraint_System();
constraints1.add(constraint1);
Variables_Set var_set_A = new Variables_Set();
var_set_A.add(A);
- MIP_Problem mip1
+ MIP_Problem mip1
= new MIP_Problem(1, constraints1, le_a,
Optimization_Mode.MAXIMIZATION);
Constraint_System mip1_constraints = mip1.constraints();
@@ -159,16 +155,16 @@ static {
MIP_Problem_Status mip1_status;
mip1_status = mip1.solve();
- ok = ok && (mip1_status == MIP_Problem_Status.UNBOUNDED_MIP_PROBLEM);
+ ok = ok && (mip1_status == MIP_Problem_Status.UNBOUNDED_MIP_PROBLEM);
MIP_Problem_Status mip2_status;
mip1.add_constraint(c_a_leq_5);
mip2_status = mip1.solve();
- ok = ok && (mip2_status == MIP_Problem_Status.OPTIMIZED_MIP_PROBLEM);
+ ok = ok && (mip2_status == MIP_Problem_Status.OPTIMIZED_MIP_PROBLEM);
if (!ok)
return false;
- MIP_Problem mip3
+ MIP_Problem mip3
= new MIP_Problem(1, constraints1, le_a,
Optimization_Mode.MAXIMIZATION);
MIP_Problem_Status mip3_status;
@@ -178,11 +174,11 @@ static {
Constraint_System cs = mip3.constraints();
mip3_status = mip3.solve();
ok = !mip3.is_satisfiable();
- ok = ok && (mip3_status == MIP_Problem_Status.UNFEASIBLE_MIP_PROBLEM);
+ ok = ok && (mip3_status == MIP_Problem_Status.UNFEASIBLE_MIP_PROBLEM);
if (!ok)
return false;
- Generator g1 = Generator.point(le_a, coeff_1);
+ Generator g1 = Generator.point(le_a, coeff_1);
Coefficient num = coeff_1;
Coefficient den = coeff_1;
mip1.evaluate_objective_function(g1, num, den);
@@ -190,12 +186,12 @@ static {
if (!ok)
return false;
- Linear_Expression le_5a = le_a.times(coeff_5);
+ Linear_Expression le_5a = le_a.times(coeff_5);
Generator f_point = mip1.feasible_point();
C_Polyhedron f_ph = new C_Polyhedron(1, Degenerate_Element.EMPTY);
f_ph.add_generator(f_point);
- Generator expected_f_point = Generator.point(le_5a, coeff_1);
+ Generator expected_f_point = Generator.point(le_5a, coeff_1);
C_Polyhedron expected_f_ph
= new C_Polyhedron(1, Degenerate_Element.EMPTY);
expected_f_ph.add_generator(expected_f_point);
@@ -204,7 +200,7 @@ static {
Generator o_point = mip1.optimizing_point();
C_Polyhedron o_ph = new C_Polyhedron(1, Degenerate_Element.EMPTY);
o_ph.add_generator(o_point);
- Generator expected_o_point = Generator.point(le_5a, coeff_1);
+ Generator expected_o_point = Generator.point(le_5a, coeff_1);
C_Polyhedron expected_o_ph
= new C_Polyhedron(1, Degenerate_Element.EMPTY);
expected_o_ph.add_generator(expected_o_point);
@@ -220,9 +216,9 @@ static {
// ok = (le_ov_num == le_5 && le_ov_den == le_1);
C_Polyhedron ov_ph
= new C_Polyhedron(1, Degenerate_Element.EMPTY);
- Constraint c_a_leq_ov_num
+ Constraint c_a_leq_ov_num
= new Constraint(le_a, Relation_Symbol.LESS_OR_EQUAL, le_ov_num);
- Constraint c_a_geq_ov_num
+ Constraint c_a_geq_ov_num
= new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_ov_den);
ov_ph.add_constraint(c_a_leq_ov_num);
C_Polyhedron expected_ov_ph
@@ -263,16 +259,16 @@ static {
&& (cp_value3
== Control_Parameter_Value.PRICING_TEXTBOOK);
- return ok && mip1.OK();
+ return ok && mip1.OK();
}
public static void main(String[] args) {
Parma_Polyhedra_Library.initialize_library();
- boolean test_result_ok =
- Test_Executor.executeTests(MIP_Problem_test1.class);
+ boolean test_result_ok =
+ Test_Executor.executeTests(MIP_Problem_test1.class);
Parma_Polyhedra_Library.finalize_library();
- if (!test_result_ok)
- System.exit(1);
- System.exit(0);
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
}
}
diff --git a/interfaces/Java/tests/Makefile.am b/interfaces/Java/tests/Makefile.am
index 99c9f2d..990b0ed 100644
--- a/interfaces/Java/tests/Makefile.am
+++ b/interfaces/Java/tests/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -49,7 +49,9 @@ PIP_Problem_test1.java \
Parma_Polyhedra_Library_test1.java \
Parma_Polyhedra_Library_test2.java \
PPL_Test.java \
-ppl_java_tests_common
+ppl_java_tests_common \
+Custom_Variable_Stringifier.java \
+Variable_Output_test1.java
if ENABLE_SHARED
@@ -62,6 +64,8 @@ MIP_Problem_test1.java \
PIP_Problem_test1.java \
Parma_Polyhedra_Library_test1.java \
Parma_Polyhedra_Library_test2.java \
+Custom_Variable_Stringifier.java \
+Variable_Output_test1.java \
PPL_Test.java
CLASSPATH = ../ppl_java.jar:.
@@ -88,6 +92,7 @@ check-local: ppl_java_generated_tests.java
$(java_test_environment) PIP_Problem_test1
$(java_test_environment) Parma_Polyhedra_Library_test1
$(java_test_environment) Parma_Polyhedra_Library_test2
+ $(java_test_environment) Variable_Output_test1
CLEANFILES = \
ppl_java_generated_tests.java
diff --git a/interfaces/Java/tests/Makefile.in b/interfaces/Java/tests/Makefile.in
index dbf0352..50e1b70 100644
--- a/interfaces/Java/tests/Makefile.in
+++ b/interfaces/Java/tests/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -57,7 +73,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Java/tests
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -90,14 +107,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
CLASSPATH_ENV = CLASSPATH=$(JAVAROOT):$(srcdir)/$(JAVAROOT)$${CLASSPATH:+":$$CLASSPATH"}
am__java_sources = $(check_JAVA)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
@@ -321,7 +349,9 @@ PIP_Problem_test1.java \
Parma_Polyhedra_Library_test1.java \
Parma_Polyhedra_Library_test2.java \
PPL_Test.java \
-ppl_java_tests_common
+ppl_java_tests_common \
+Custom_Variable_Stringifier.java \
+Variable_Output_test1.java
@ENABLE_SHARED_TRUE at check_JAVA = \
@ENABLE_SHARED_TRUE at ppl_java_generated_tests.java \
@@ -332,6 +362,8 @@ ppl_java_tests_common
@ENABLE_SHARED_TRUE at PIP_Problem_test1.java \
@ENABLE_SHARED_TRUE at Parma_Polyhedra_Library_test1.java \
@ENABLE_SHARED_TRUE at Parma_Polyhedra_Library_test2.java \
+ at ENABLE_SHARED_TRUE@Custom_Variable_Stringifier.java \
+ at ENABLE_SHARED_TRUE@Variable_Output_test1.java \
@ENABLE_SHARED_TRUE at PPL_Test.java
@ENABLE_SHARED_TRUE at CLASSPATH = ../ppl_java.jar:.
@@ -404,6 +436,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
@@ -568,6 +602,7 @@ uninstall-am:
@ENABLE_SHARED_TRUE@ $(java_test_environment) PIP_Problem_test1
@ENABLE_SHARED_TRUE@ $(java_test_environment) Parma_Polyhedra_Library_test1
@ENABLE_SHARED_TRUE@ $(java_test_environment) Parma_Polyhedra_Library_test2
+ at ENABLE_SHARED_TRUE@ $(java_test_environment) Variable_Output_test1
$(top_builddir)/interfaces/ppl_interface_instantiations.m4:
$(MAKE) $(AM_MAKEFLAGS) -C $(top_builddir)/interfaces ppl_interface_instantiations.m4
diff --git a/interfaces/Java/tests/NNC_Polyhedron_test1.java b/interfaces/Java/tests/NNC_Polyhedron_test1.java
index c032638..d55220e 100644
--- a/interfaces/Java/tests/NNC_Polyhedron_test1.java
+++ b/interfaces/Java/tests/NNC_Polyhedron_test1.java
@@ -1,7 +1,7 @@
/* Test NNC_Polyhedron Java test class of the Parma Polyhedra Library Java
interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,106 +22,102 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.math.BigInteger;
-import java.util.Iterator;
-import java.util.Vector;
import parma_polyhedra_library.*;
-
public class NNC_Polyhedron_test1 {
-static {
- try {
- System.loadLibrary("ppl_java");
- }
- catch (UnsatisfiedLinkError e) {
- System.out.println("Unable to load the library");
- System.out.println(e.getMessage());
- System.exit(-1);
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
}
-}
public static boolean test01() {
- Variable X = new Variable(0);
- Variable Y = new Variable(1);
- Variable Z = new Variable(2);
- NNC_Polyhedron ph = new NNC_Polyhedron(3, Degenerate_Element.UNIVERSE);
- Linear_Expression le_X = new Linear_Expression_Variable(X);
- Linear_Expression le_Y = new Linear_Expression_Variable(Y);
- Linear_Expression le_Z = new Linear_Expression_Variable(Z);
- Linear_Expression le_2Y = le_Y.times(new Coefficient(2));
- Linear_Expression le_5Z = le_Z.times(new Coefficient(5));
- Linear_Expression le_7
- = new Linear_Expression_Coefficient(new Coefficient(7));
- Linear_Expression le_5
- = new Linear_Expression_Coefficient(new Coefficient(5));
- Linear_Expression lhs1 = le_X.sum(le_2Y.sum(le_5Z));
- NNC_Polyhedron ph1
+ Variable X = new Variable(0);
+ Variable Y = new Variable(1);
+ Variable Z = new Variable(2);
+ NNC_Polyhedron ph = new NNC_Polyhedron(3, Degenerate_Element.UNIVERSE);
+ Linear_Expression le_X = new Linear_Expression_Variable(X);
+ Linear_Expression le_Y = new Linear_Expression_Variable(Y);
+ Linear_Expression le_Z = new Linear_Expression_Variable(Z);
+ Linear_Expression le_2Y = le_Y.times(new Coefficient(2));
+ Linear_Expression le_5Z = le_Z.times(new Coefficient(5));
+ Linear_Expression le_7
+ = new Linear_Expression_Coefficient(new Coefficient(7));
+ Linear_Expression le_5
+ = new Linear_Expression_Coefficient(new Coefficient(5));
+ Linear_Expression lhs1 = le_X.sum(le_2Y.sum(le_5Z));
+ NNC_Polyhedron ph1
= new NNC_Polyhedron(3, Degenerate_Element.UNIVERSE);
- ph1.add_constraint(new Constraint(lhs1,
+ ph1.add_constraint(new Constraint(lhs1,
Relation_Symbol.GREATER_OR_EQUAL,
le_7));
- ph1.add_constraint(new Constraint(le_X,
+ ph1.add_constraint(new Constraint(le_X,
Relation_Symbol.LESS_THAN,
- le_5Z));
- PPL_Test.println_if_noisy(ph1.constraints().toString());
+ le_5Z));
+ PPL_Test.println_if_noisy(ph1.constraints().toString());
Constraint c = new Constraint(le_5Z,
Relation_Symbol.GREATER_THAN,
le_X);
Poly_Con_Relation rel = ph1.relation_with(c);
- return rel.implies(Poly_Con_Relation.is_included());
+ return rel.implies(Poly_Con_Relation.is_included());
}
public static boolean test02() {
- // Test if `minimized_constraints' returns an empty Constraint_System
- // if the Polyhedron is built from universe with a dimension greater
- // than zero.
- Variable X = new Variable(0);
- Variable Y = new Variable(1);
- Variable Z = new Variable(2);
- NNC_Polyhedron ph = new NNC_Polyhedron(3, Degenerate_Element.UNIVERSE);
- Constraint_System cs = ph.minimized_constraints();
- return cs.isEmpty();
+ // Test if `minimized_constraints' returns an empty Constraint_System
+ // if the Polyhedron is built from universe with a dimension greater
+ // than zero.
+ Variable X = new Variable(0);
+ Variable Y = new Variable(1);
+ Variable Z = new Variable(2);
+ NNC_Polyhedron ph = new NNC_Polyhedron(3, Degenerate_Element.UNIVERSE);
+ Constraint_System cs = ph.minimized_constraints();
+ return cs.isEmpty();
}
public static boolean test03() {
- // Test termination methods.
- Variable X1 = new Variable(0);
- Variable X2 = new Variable(1);
- Variable XP1 = new Variable(2);
- Variable XP2 = new Variable(3);
- NNC_Polyhedron ph = new NNC_Polyhedron(4, Degenerate_Element.UNIVERSE);
+ // Test termination methods.
+ Variable X1 = new Variable(0);
+ Variable X2 = new Variable(1);
+ Variable XP1 = new Variable(2);
+ Variable XP2 = new Variable(3);
+ NNC_Polyhedron ph = new NNC_Polyhedron(4, Degenerate_Element.UNIVERSE);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_0 = new Coefficient(0);
- Linear_Expression le_X1 = new Linear_Expression_Variable(X1);
- Linear_Expression le_X2 = new Linear_Expression_Variable(X2);
- Linear_Expression le_XP1 = new Linear_Expression_Variable(XP1);
- Linear_Expression le_XP2 = new Linear_Expression_Variable(XP2);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_0 = new Linear_Expression_Coefficient(coeff_0);
- Linear_Expression le_X1_difference_XP1 = le_X1.sum(le_XP1);
- Constraint c_XP2_eq_1
+ Linear_Expression le_X1 = new Linear_Expression_Variable(X1);
+ Linear_Expression le_X2 = new Linear_Expression_Variable(X2);
+ Linear_Expression le_XP1 = new Linear_Expression_Variable(XP1);
+ Linear_Expression le_XP2 = new Linear_Expression_Variable(XP2);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_0 = new Linear_Expression_Coefficient(coeff_0);
+ Linear_Expression le_X1_difference_XP1 = le_X1.sum(le_XP1);
+ Constraint c_XP2_eq_1
= new Constraint(le_XP2, Relation_Symbol.EQUAL, le_1);
- Constraint c_X1_geq_1
+ Constraint c_X1_geq_1
= new Constraint(le_X1, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_X1_minus_XP1_geq_1
+ Constraint c_X1_minus_XP1_geq_1
= new Constraint(le_X1_difference_XP1, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_X2_leq_0
+ Constraint c_X2_leq_0
= new Constraint(le_X2, Relation_Symbol.LESS_OR_EQUAL, le_0);
- ph.add_constraint(c_XP2_eq_1);
- ph.add_constraint(c_X1_geq_1);
- ph.add_constraint(c_X1_minus_XP1_geq_1);
- ph.add_constraint(c_X2_leq_0);
- return Termination.termination_test_MS_NNC_Polyhedron(ph);
+ ph.add_constraint(c_XP2_eq_1);
+ ph.add_constraint(c_X1_geq_1);
+ ph.add_constraint(c_X1_minus_XP1_geq_1);
+ ph.add_constraint(c_X2_leq_0);
+ return Termination.termination_test_MS_NNC_Polyhedron(ph);
}
public static void main(String[] args) {
Parma_Polyhedra_Library.initialize_library();
- boolean test_result_ok =
- Test_Executor.executeTests(NNC_Polyhedron_test1.class);
+ boolean test_result_ok =
+ Test_Executor.executeTests(NNC_Polyhedron_test1.class);
Parma_Polyhedra_Library.finalize_library();
- if (!test_result_ok)
- System.exit(1);
- System.exit(0);
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
}
}
diff --git a/interfaces/Java/tests/PIP_Problem_test1.java b/interfaces/Java/tests/PIP_Problem_test1.java
index 64bf3be..bde8178 100644
--- a/interfaces/Java/tests/PIP_Problem_test1.java
+++ b/interfaces/Java/tests/PIP_Problem_test1.java
@@ -1,7 +1,7 @@
/* Test PIP_Problem Java test class of the Parma Polyhedra Library Java
interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,55 +22,51 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.math.BigInteger;
-import java.util.Iterator;
-import java.util.Vector;
import parma_polyhedra_library.*;
-
public class PIP_Problem_test1 {
-static {
- try {
- System.loadLibrary("ppl_java");
- }
- catch (UnsatisfiedLinkError e) {
- System.out.println("Unable to load the library");
- System.out.println(e.getMessage());
- System.exit(-1);
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
}
-}
// This code tests the PIP_Problem methods.
public static boolean test01() {
- Variable A = new Variable(0);
- Variable B = new Variable(1);
- Variable C = new Variable(2);
- Variable D = new Variable(3);
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Variable C = new Variable(2);
+ Variable D = new Variable(3);
Variables_Set var_set_D = new Variables_Set();
var_set_D.add(D);
- Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
- Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
- Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
- Linear_Expression_Variable le_d = new Linear_Expression_Variable(D);
+ Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
+ Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Linear_Expression_Variable le_d = new Linear_Expression_Variable(D);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_3 = new Coefficient(3);
Coefficient coeff_5 = new Coefficient(5);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
- Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
+ Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
- // Constraint declarations.
- Constraint c_a_geq_1
+ // Constraint declarations.
+ Constraint c_a_geq_1
= new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_a_leq_5
+ Constraint c_a_leq_5
= new Constraint(le_a, Relation_Symbol.LESS_OR_EQUAL, le_5);
- Constraint c_b_geq_3
+ Constraint c_b_geq_3
= new Constraint(le_b, Relation_Symbol.GREATER_OR_EQUAL, le_3);
- Constraint c_d_leq_1
+ Constraint c_d_leq_1
= new Constraint(le_d, Relation_Symbol.LESS_OR_EQUAL, le_1);
- Constraint constraint1 = c_a_geq_1;
- Constraint constraint2 = c_b_geq_3;
- Constraint_System constraints1 = new Constraint_System();
+ Constraint constraint1 = c_a_geq_1;
+ Constraint constraint2 = c_b_geq_3;
+ Constraint_System constraints1 = new Constraint_System();
constraints1.add(constraint1);
C_Polyhedron ph1 = new C_Polyhedron(3, Degenerate_Element.UNIVERSE);
ph1.add_constraints(constraints1);
@@ -78,7 +74,7 @@ static {
ph2.add_constraints(constraints1);
ph2.add_constraint(constraint2);
- PIP_Problem pip1 = new PIP_Problem(3);
+ PIP_Problem pip1 = new PIP_Problem(3);
pip1.add_constraints(constraints1);
Constraint pip1_c1 = pip1.constraint_at_index(0);
long pip1_dim = pip1.space_dimension();
@@ -96,8 +92,8 @@ static {
pip3.add_constraint(constraint2);
ok = ok && (pip3.space_dimension() == 4);
- Constraint constraint4 = c_d_leq_1;
- Constraint_System constraints4 = new Constraint_System();
+ Constraint constraint4 = c_d_leq_1;
+ Constraint_System constraints4 = new Constraint_System();
constraints4.add(constraint1);
constraints4.add(constraint4);
PIP_Problem pip4 = new PIP_Problem(4, constraints4, var_set_D);
@@ -105,37 +101,37 @@ static {
&& (pip4.space_dimension() == 4)
&& (pip4.number_of_parameter_space_dimensions() == 1);
- return ok;
+ return ok;
}
// This code tests more PIP_Problem methods.
public static boolean test02() {
- Variable A = new Variable(0);
- Variable B = new Variable(1);
- Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
Coefficient coeff_0 = new Coefficient(0);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_5 = new Coefficient(5);
Coefficient coeff_8 = new Coefficient(8);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
- Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
+ Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
- // Constraint declarations.
- Constraint c_a_geq_1
+ // Constraint declarations.
+ Constraint c_a_geq_1
= new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_a_leq_5
+ Constraint c_a_leq_5
= new Constraint(le_a, Relation_Symbol.LESS_OR_EQUAL, le_5);
- Constraint c_a_eq_8
+ Constraint c_a_eq_8
= new Constraint(le_a, Relation_Symbol.EQUAL, le_8);
- Constraint constraint1 = c_a_geq_1;
- Constraint_System constraints1 = new Constraint_System();
+ Constraint constraint1 = c_a_geq_1;
+ Constraint_System constraints1 = new Constraint_System();
constraints1.add(constraint1);
Variables_Set var_set_B = new Variables_Set();
var_set_B.add(B);
- PIP_Problem pip1 = new PIP_Problem(2);
+ PIP_Problem pip1 = new PIP_Problem(2);
pip1.add_constraints(constraints1);
long pip1_dim = pip1.space_dimension();
pip1.add_to_parameter_space_dimensions(var_set_B);
@@ -149,12 +145,12 @@ static {
PIP_Problem_Status pip1_status;
pip1_status = pip1.solve();
- ok = ok && (pip1_status == PIP_Problem_Status.OPTIMIZED_PIP_PROBLEM);
+ ok = ok && (pip1_status == PIP_Problem_Status.OPTIMIZED_PIP_PROBLEM);
PIP_Problem_Status pip2_status;
pip1.add_constraint(c_a_leq_5);
pip2_status = pip1.solve();
- ok = ok && (pip2_status == PIP_Problem_Status.OPTIMIZED_PIP_PROBLEM);
+ ok = ok && (pip2_status == PIP_Problem_Status.OPTIMIZED_PIP_PROBLEM);
if (!ok)
return false;
@@ -199,49 +195,49 @@ static {
&& (cp_value4
== PIP_Problem_Control_Parameter_Value.CUTTING_STRATEGY_ALL);
- return ok && pip1.OK();
+ return ok && pip1.OK();
}
// This code tests PIP_Tree and its methods.
public static boolean test03() {
- Variable A = new Variable(0);
- Variable B = new Variable(1);
- Variable C = new Variable(2);
- Variable D = new Variable(3);
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Variable C = new Variable(2);
+ Variable D = new Variable(3);
Variables_Set var_set_D = new Variables_Set();
var_set_D.add(D);
- Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
- Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
- Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
- Linear_Expression_Variable le_d = new Linear_Expression_Variable(D);
+ Linear_Expression_Variable le_b = new Linear_Expression_Variable(B);
+ Linear_Expression_Variable le_c = new Linear_Expression_Variable(C);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Linear_Expression_Variable le_d = new Linear_Expression_Variable(D);
Coefficient coeff_0 = new Coefficient(0);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_3 = new Coefficient(3);
Coefficient coeff_5 = new Coefficient(5);
Coefficient coeff_8 = new Coefficient(8);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
- Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
- Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
+ Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
+ Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
- // Constraint declarations.
- Constraint c_a_geq_1
+ // Constraint declarations.
+ Constraint c_a_geq_1
= new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_1);
- Constraint c_a_leq_5
+ Constraint c_a_leq_5
= new Constraint(le_a, Relation_Symbol.LESS_OR_EQUAL, le_5);
- Constraint c_a_eq_8
+ Constraint c_a_eq_8
= new Constraint(le_a, Relation_Symbol.EQUAL, le_8);
- Constraint c_d_leq_1
+ Constraint c_d_leq_1
= new Constraint(le_d, Relation_Symbol.LESS_OR_EQUAL, le_1);
- Constraint constraint1 = c_a_geq_1;
- Constraint_System constraints1 = new Constraint_System();
+ Constraint constraint1 = c_a_geq_1;
+ Constraint_System constraints1 = new Constraint_System();
constraints1.add(constraint1);
Variables_Set var_set_B = new Variables_Set();
var_set_B.add(B);
- PIP_Problem pip1 = new PIP_Problem(2);
+ PIP_Problem pip1 = new PIP_Problem(2);
pip1.add_constraints(constraints1);
long pip1_dim = pip1.space_dimension();
pip1.add_to_parameter_space_dimensions(var_set_B);
@@ -274,8 +270,8 @@ static {
PPL_Test.println_if_noisy(IO.wrap_string(ptree1.toString(), 4, 64, 60));
PPL_Test.println_if_noisy();
- Constraint constraint2 = c_d_leq_1;
- Constraint_System constraints2 = new Constraint_System();
+ Constraint constraint2 = c_d_leq_1;
+ Constraint_System constraints2 = new Constraint_System();
constraints2.add(constraint1);
constraints2.add(constraint2);
PIP_Problem pip2 = new PIP_Problem(4, constraints2, var_set_D);
@@ -302,17 +298,17 @@ static {
// This code is based on test02 in pipproblem1.cc.
public static boolean test04() {
- Variable I = new Variable(0);
- Variable J = new Variable(1);
- Variable N = new Variable(2);
- Variable M = new Variable(3);
+ Variable I = new Variable(0);
+ Variable J = new Variable(1);
+ Variable N = new Variable(2);
+ Variable M = new Variable(3);
Variables_Set params = new Variables_Set();
params.add(N);
params.add(M);
- Linear_Expression_Variable le_i = new Linear_Expression_Variable(I);
- Linear_Expression_Variable le_j = new Linear_Expression_Variable(J);
- Linear_Expression_Variable le_n = new Linear_Expression_Variable(N);
- Linear_Expression_Variable le_m = new Linear_Expression_Variable(M);
+ Linear_Expression_Variable le_i = new Linear_Expression_Variable(I);
+ Linear_Expression_Variable le_j = new Linear_Expression_Variable(J);
+ Linear_Expression_Variable le_n = new Linear_Expression_Variable(N);
+ Linear_Expression_Variable le_m = new Linear_Expression_Variable(M);
Coefficient coeff_0 = new Coefficient(0);
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_2 = new Coefficient(2);
@@ -321,42 +317,42 @@ static {
Coefficient coeff_7 = new Coefficient(7);
Coefficient coeff_8 = new Coefficient(8);
Coefficient coeff_10 = new Coefficient(10);
- Linear_Expression le_0 = new Linear_Expression_Coefficient(coeff_0);
- Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
- Linear_Expression le_2 = new Linear_Expression_Coefficient(coeff_2);
- Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
- Linear_Expression le_4 = new Linear_Expression_Coefficient(coeff_4);
- Linear_Expression le_7 = new Linear_Expression_Coefficient(coeff_7);
- Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
- Linear_Expression le_10 = new Linear_Expression_Coefficient(coeff_10);
- Linear_Expression le_2i = le_i.times(coeff_2);
- Linear_Expression le_3j = le_j.times(coeff_3);
- Linear_Expression le_2i_plus_3j = le_2i.sum(le_3j);
- Linear_Expression le_4i = le_i.times(coeff_4);
- Linear_Expression le_4i_diff_j = le_4i.subtract(le_j);
- Linear_Expression le_m_diff_j = le_m.subtract(le_j);
- Linear_Expression le_n_diff_i = le_n.subtract(le_i);
-
- // Constraint declarations.
- Constraint c_1
+ Linear_Expression le_0 = new Linear_Expression_Coefficient(coeff_0);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Linear_Expression le_2 = new Linear_Expression_Coefficient(coeff_2);
+ Linear_Expression le_3 = new Linear_Expression_Coefficient(coeff_3);
+ Linear_Expression le_4 = new Linear_Expression_Coefficient(coeff_4);
+ Linear_Expression le_7 = new Linear_Expression_Coefficient(coeff_7);
+ Linear_Expression le_8 = new Linear_Expression_Coefficient(coeff_8);
+ Linear_Expression le_10 = new Linear_Expression_Coefficient(coeff_10);
+ Linear_Expression le_2i = le_i.times(coeff_2);
+ Linear_Expression le_3j = le_j.times(coeff_3);
+ Linear_Expression le_2i_plus_3j = le_2i.sum(le_3j);
+ Linear_Expression le_4i = le_i.times(coeff_4);
+ Linear_Expression le_4i_diff_j = le_4i.subtract(le_j);
+ Linear_Expression le_m_diff_j = le_m.subtract(le_j);
+ Linear_Expression le_n_diff_i = le_n.subtract(le_i);
+
+ // Constraint declarations.
+ Constraint c_1
= new Constraint(le_2i_plus_3j, Relation_Symbol.GREATER_OR_EQUAL,
le_8);
- Constraint c_2
+ Constraint c_2
= new Constraint(le_4i_diff_j, Relation_Symbol.GREATER_OR_EQUAL,
le_4);
- Constraint c_3
+ Constraint c_3
= new Constraint(le_m_diff_j, Relation_Symbol.GREATER_OR_EQUAL,
le_0);
- Constraint c_4
+ Constraint c_4
= new Constraint(le_n_diff_i, Relation_Symbol.GREATER_OR_EQUAL,
le_0);
- Constraint_System cs = new Constraint_System();
+ Constraint_System cs = new Constraint_System();
cs.add(c_1);
cs.add(c_2);
cs.add(c_3);
cs.add(c_4);
- PIP_Problem pip = new PIP_Problem(4, cs, params);
+ PIP_Problem pip = new PIP_Problem(4, cs, params);
// Known to overflow if PPL uses 8-bits checked integers.
try {
@@ -392,7 +388,7 @@ static {
Constraint_System cs1 = root.constraints();
if (cs1.size() != 1)
return false;
- Constraint c = cs.firstElement();
+ Constraint c = cs.get(0);
Linear_Expression le_left = c.left_hand_side();
Linear_Expression le_right = c.right_hand_side();
Relation_Symbol relsym = c.kind();
@@ -417,7 +413,7 @@ static {
Constraint_System cs2 = t_child.constraints();
if (cs2.size() != 1)
return false;
- Constraint c2 = cs2.firstElement();
+ Constraint c2 = cs2.get(0);
Linear_Expression le_left2 = c2.left_hand_side();
Linear_Expression le_right2 = c2.right_hand_side();
Relation_Symbol relsym2 = c2.kind();
@@ -448,7 +444,7 @@ static {
// Check artificial parameter.
if (t_f_child.number_of_artificials() != 1)
return false;
- Artificial_Parameter ap = t_f_child.artificials().firstElement();
+ Artificial_Parameter ap = t_f_child.artificials().get(0);
Linear_Expression ap_le = ap.linear_expression();
Coefficient ap_den = ap.denominator();
@@ -462,7 +458,7 @@ static {
Constraint_System cs4 = t_f_child.constraints();
if (cs4.size() != 1)
return false;
- Constraint c4 = cs4.firstElement();
+ Constraint c4 = cs4.get(0);
if (c4.kind() != Relation_Symbol.GREATER_OR_EQUAL)
return false;
// Check parametric values.
@@ -474,11 +470,11 @@ static {
public static void main(String[] args) {
Parma_Polyhedra_Library.initialize_library();
- boolean test_result_ok =
- Test_Executor.executeTests(PIP_Problem_test1.class);
+ boolean test_result_ok =
+ Test_Executor.executeTests(PIP_Problem_test1.class);
Parma_Polyhedra_Library.finalize_library();
- if (!test_result_ok)
- System.exit(1);
- System.exit(0);
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
}
}
diff --git a/interfaces/Java/tests/PPL_Test.java b/interfaces/Java/tests/PPL_Test.java
index 81eab9b..370ed97 100644
--- a/interfaces/Java/tests/PPL_Test.java
+++ b/interfaces/Java/tests/PPL_Test.java
@@ -1,6 +1,6 @@
/* Test helper class of the Parma Polyhedra Library Java interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -21,8 +21,6 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.util.Map;
-
public class PPL_Test {
static boolean NOISY = false;
diff --git a/interfaces/Java/tests/Parma_Polyhedra_Library_test1.java b/interfaces/Java/tests/Parma_Polyhedra_Library_test1.java
index 2042bac..a66f757 100644
--- a/interfaces/Java/tests/Parma_Polyhedra_Library_test1.java
+++ b/interfaces/Java/tests/Parma_Polyhedra_Library_test1.java
@@ -1,7 +1,7 @@
/* Parma_Polyhedra_Library Java test class of the
Parma Polyhedra Library Java interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,23 +22,19 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.math.BigInteger;
-import java.util.Iterator;
-import java.util.Vector;
import parma_polyhedra_library.*;
-
public class Parma_Polyhedra_Library_test1 {
-static {
- try {
- System.loadLibrary("ppl_java");
- }
- catch (UnsatisfiedLinkError e) {
- System.out.println("Unable to load the library");
- System.out.println(e.getMessage());
- System.exit(-1);
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
}
-}
// This code tests the Parma_Polyhedra_Library methods.
public static boolean test01() {
@@ -66,11 +62,11 @@ static {
public static void main(String[] args) {
Parma_Polyhedra_Library.initialize_library();
- boolean test_result_ok =
- Test_Executor.executeTests(Parma_Polyhedra_Library_test1.class);
+ boolean test_result_ok =
+ Test_Executor.executeTests(Parma_Polyhedra_Library_test1.class);
Parma_Polyhedra_Library.finalize_library();
- if (!test_result_ok)
- System.exit(1);
- System.exit(0);
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
}
}
diff --git a/interfaces/Java/tests/Parma_Polyhedra_Library_test2.java b/interfaces/Java/tests/Parma_Polyhedra_Library_test2.java
index e1733da..0f2af4e 100644
--- a/interfaces/Java/tests/Parma_Polyhedra_Library_test2.java
+++ b/interfaces/Java/tests/Parma_Polyhedra_Library_test2.java
@@ -1,7 +1,7 @@
/* Parma_Polyhedra_Library Java test class of the
Parma Polyhedra Library Java interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -25,16 +25,16 @@ site: http://bugseng.com/products/ppl/ . */
import parma_polyhedra_library.*;
public class Parma_Polyhedra_Library_test2 {
-static {
- try {
- System.loadLibrary("ppl_java");
- }
- catch (UnsatisfiedLinkError e) {
- System.out.println("Unable to load the library");
- System.out.println(e.getMessage());
- System.exit(-1);
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
}
-}
// This code tests the timeout functions.
public static boolean test01() {
@@ -53,12 +53,12 @@ static {
public static void main(String[] args) {
Parma_Polyhedra_Library.initialize_library();
- boolean test_result_ok =
- Test_Executor.executeTests(Parma_Polyhedra_Library_test2.class);
+ boolean test_result_ok =
+ Test_Executor.executeTests(Parma_Polyhedra_Library_test2.class);
Parma_Polyhedra_Library.finalize_library();
- if (!test_result_ok)
- System.exit(1);
- System.exit(0);
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
}
private static void open_hypercube(int dimension, Polyhedron ph) {
diff --git a/interfaces/Java/tests/Test_Executor.java b/interfaces/Java/tests/Test_Executor.java
index 30895a7..1f533fa 100644
--- a/interfaces/Java/tests/Test_Executor.java
+++ b/interfaces/Java/tests/Test_Executor.java
@@ -1,6 +1,6 @@
/* Test helper class of the Parma Polyhedra Library Java interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -39,27 +39,27 @@ public class Test_Executor {
*/
public static boolean executeTests(Class c) {
PPL_Test.initialize();
- boolean global_test_result_ok = true;
- System.out.println("Checking " + c.getName());
- Method methods[] = c.getDeclaredMethods();
+ boolean global_test_result_ok = true;
+ System.out.println("Checking " + c.getName());
+ Method methods[] = c.getDeclaredMethods();
Object[] no_args = new Object[0];
- for (Method currentMethod:methods) {
- try {
- if (currentMethod.getName().startsWith("test")) {
- System.out.println("Executing " + currentMethod.getName());
- boolean ok = (Boolean) currentMethod.invoke(null, no_args);
- if (!ok) {
- global_test_result_ok = false;
- System.out.println(currentMethod.getName() + " failed");
- }
- }
- }
- catch (Exception e) {
+ for (Method currentMethod:methods) {
+ try {
+ if (currentMethod.getName().startsWith("test")) {
+ System.out.println("Executing " + currentMethod.getName());
+ boolean ok = (Boolean) currentMethod.invoke(null, no_args);
+ if (!ok) {
+ global_test_result_ok = false;
+ System.out.println(currentMethod.getName() + " failed");
+ }
+ }
+ }
+ catch (Exception e) {
System.out.println("Unexpected exception caught.");
System.out.println(e.getMessage());
- return false;
- }
- }
- return global_test_result_ok;
+ return false;
+ }
+ }
+ return global_test_result_ok;
}
}
diff --git a/interfaces/Java/tests/Variable_Output_test1.java b/interfaces/Java/tests/Variable_Output_test1.java
new file mode 100644
index 0000000..ad26dd8
--- /dev/null
+++ b/interfaces/Java/tests/Variable_Output_test1.java
@@ -0,0 +1,94 @@
+/* Test customization of variable output in Java.
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+import parma_polyhedra_library.*;
+
+public class Variable_Output_test1 {
+ static {
+ try {
+ System.loadLibrary("ppl_java");
+ }
+ catch (UnsatisfiedLinkError e) {
+ System.out.println("Unable to load the library");
+ System.out.println(e.getMessage());
+ System.exit(-1);
+ }
+ }
+
+ public static boolean test01() {
+ Variable A = new Variable(0);
+ Variable B = new Variable(1);
+ Variable C = new Variable(2);
+ Linear_Expression_Variable le_a = new Linear_Expression_Variable(A);
+ Coefficient coeff_1 = new Coefficient(1);
+ Linear_Expression le_1 = new Linear_Expression_Coefficient(coeff_1);
+ Constraint con
+ = new Constraint(le_a, Relation_Symbol.GREATER_OR_EQUAL, le_1);
+ C_Polyhedron ph = new C_Polyhedron(1, Degenerate_Element.UNIVERSE);
+ ph.add_constraint(con);
+ boolean ok = false;
+
+ // Printing with default output function.
+ ok = (A.toString().equals("A") &&
+ B.toString().equals("B") &&
+ C.toString().equals("C") &&
+ con.toString().equals("A >= 1") &&
+ ph.toString().equals("A >= 1"));
+ if (!ok)
+ return false;
+
+ // Changing output function to custom one.
+ Variable_Stringifier vs = new Custom_Variable_Stringifier();
+ Variable.setStringifier(vs);
+
+ ok = (A.toString().equals("Var_0") &&
+ B.toString().equals("Var_1") &&
+ C.toString().equals("Var_2") &&
+ con.toString().equals("Var_0 >= 1") &&
+ ph.toString().equals("Var_0 >= 1"));
+ if (!ok)
+ return false;
+
+ // Restoring default output function.
+ Variable.setStringifier(null);
+
+ ok = (A.toString().equals("A") &&
+ B.toString().equals("B") &&
+ C.toString().equals("C") &&
+ con.toString().equals("A >= 1") &&
+ ph.toString().equals("A >= 1"));
+ if (!ok)
+ return false;
+
+ return ok;
+ }
+
+ public static void main(String[] args) {
+ Parma_Polyhedra_Library.initialize_library();
+ boolean test_result_ok =
+ Test_Executor.executeTests(Variable_Output_test1.class);
+ Parma_Polyhedra_Library.finalize_library();
+ if (!test_result_ok)
+ System.exit(1);
+ System.exit(0);
+ }
+}
diff --git a/interfaces/Java/tests/ppl_interface_generator_java_test_java.m4 b/interfaces/Java/tests/ppl_interface_generator_java_test_java.m4
index f464b25..b5fbcf2 100644
--- a/interfaces/Java/tests/ppl_interface_generator_java_test_java.m4
+++ b/interfaces/Java/tests/ppl_interface_generator_java_test_java.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_java_classes_test.java
dnl using the code in ppl_interface_generator_java_test_code.m4.
dnl
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Java/tests/ppl_interface_generator_java_test_java_code.m4 b/interfaces/Java/tests/ppl_interface_generator_java_test_java_code.m4
index 51c17ad..d166ed0 100644
--- a/interfaces/Java/tests/ppl_interface_generator_java_test_java_code.m4
+++ b/interfaces/Java/tests/ppl_interface_generator_java_test_java_code.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
This m4 file contains the code for generating ppl_java_generated_tests.java
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Java/tests/ppl_java_tests_common b/interfaces/Java/tests/ppl_java_tests_common
index b94acc2..5c1c32c 100644
--- a/interfaces/Java/tests/ppl_java_tests_common
+++ b/interfaces/Java/tests/ppl_java_tests_common
@@ -1,6 +1,6 @@
/* Common code for the PPL Java interface tests.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -21,9 +21,6 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-import java.math.BigInteger;
-import java.util.Iterator;
-import java.util.Vector;
import parma_polyhedra_library.*;
public class ppl_java_generated_tests {
@@ -74,107 +71,107 @@ public class ppl_java_generated_tests {
// Initialize output variables.
PPL_Test.initialize();
- // Coefficient declaration.
- coeff_0 = new Coefficient("0");
+ // Coefficient declaration.
+ coeff_0 = new Coefficient("0");
Coefficient coeff_1 = new Coefficient(1);
Coefficient coeff_2 = new Coefficient(2);
Coefficient coeff_4 = new Coefficient(4);
- coeff_5 = new Coefficient("5");
+ coeff_5 = new Coefficient("5");
Coefficient coeff_10 = new Coefficient("10");
- // Variable declarations.
- Variable A = new Variable(0);
- Variable C = new Variable(2);
- var_C = C;
+ // Variable declarations.
+ Variable A = new Variable(0);
+ Variable C = new Variable(2);
+ var_C = C;
var_set_A = new Variables_Set();
var_set_A.add(A);
- // Linear_Expression declarations.
- Linear_Expression le_0 = new Linear_Expression_Coefficient(coeff_0);
- Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
- le_A = new Linear_Expression_Variable(A);
- Linear_Expression le_2A = le_A.times(coeff_2);
- Linear_Expression le_C = new Linear_Expression_Variable(C);
- Linear_Expression le_2A_plus_C = le_2A.sum(le_C);
- Linear_Expression le_40A_plus_10C = le_2A_plus_C.times(coeff_10);
+ // Linear_Expression declarations.
+ Linear_Expression le_0 = new Linear_Expression_Coefficient(coeff_0);
+ Linear_Expression le_5 = new Linear_Expression_Coefficient(coeff_5);
+ le_A = new Linear_Expression_Variable(A);
+ Linear_Expression le_2A = le_A.times(coeff_2);
+ Linear_Expression le_C = new Linear_Expression_Variable(C);
+ Linear_Expression le_2A_plus_C = le_2A.sum(le_C);
+ Linear_Expression le_40A_plus_10C = le_2A_plus_C.times(coeff_10);
- PPL_Test.print_if_noisy("Printing a linear expression (2A + C): ");
+ PPL_Test.print_if_noisy("Printing a linear expression (2A + C): ");
PPL_Test.println_if_noisy(le_2A_plus_C.toString());
- // Constraint declarations.
- Constraint c_5_geq_0
+ // Constraint declarations.
+ Constraint c_5_geq_0
= new Constraint(le_5, Relation_Symbol.GREATER_OR_EQUAL, le_0);
- constraint1 = c_5_geq_0;
- Constraint c_C_eq_5
+ constraint1 = c_5_geq_0;
+ Constraint c_C_eq_5
= new Constraint(le_C, Relation_Symbol.EQUAL, le_5);
- Constraint c_2A_eq_5
+ Constraint c_2A_eq_5
= new Constraint(le_2A, Relation_Symbol.EQUAL, le_5);
- Constraint c_2A_plus_C_eq_2A
+ Constraint c_2A_plus_C_eq_2A
= new Constraint(le_2A_plus_C, Relation_Symbol.EQUAL, le_2A);
- Constraint c_2A_plus_C_geq_5
+ Constraint c_2A_plus_C_geq_5
= new Constraint(le_2A_plus_C,
- Relation_Symbol.GREATER_OR_EQUAL,
- le_5);
- PPL_Test.print_if_noisy("Printing a constraint (2A + C >= 5): ");
- PPL_Test.println_if_noisy(c_2A_plus_C_geq_5.toString());
-
- Congruence cg_2A_eq_5 = new Congruence(le_2A, le_5, coeff_0);
- Congruence cg_C_eq_5 = new Congruence(le_C, le_5, coeff_0);
- Congruence cg_C_int = new Congruence(le_C, le_0, coeff_1);
- congruence1 = cg_2A_eq_5;
- PPL_Test.print_if_noisy("Printing a congruence (2A == 5): ");
+ Relation_Symbol.GREATER_OR_EQUAL,
+ le_5);
+ PPL_Test.print_if_noisy("Printing a constraint (2A + C >= 5): ");
+ PPL_Test.println_if_noisy(c_2A_plus_C_geq_5.toString());
+
+ Congruence cg_2A_eq_5 = new Congruence(le_2A, le_5, coeff_0);
+ Congruence cg_C_eq_5 = new Congruence(le_C, le_5, coeff_0);
+ Congruence cg_C_int = new Congruence(le_C, le_0, coeff_1);
+ congruence1 = cg_2A_eq_5;
+ PPL_Test.print_if_noisy("Printing a congruence (2A == 5): ");
PPL_Test.println_if_noisy(cg_2A_eq_5.toString());
- // Constraint_System declarations.
- constraints1 = new Constraint_System();
- constraints1.add(c_5_geq_0);
- constraints1.add(c_C_eq_5);
- PPL_Test.print_if_noisy("Printing a constraint system (C == 5):");
- PPL_Test.println_if_noisy(constraints1.toString());
-
- constraints2 = new Constraint_System();
- constraints2.add(c_2A_plus_C_eq_2A);
- constraints2.add(c_2A_eq_5);
-
- congruences1 = new Congruence_System();
- congruences1.add(cg_2A_eq_5);
- congruences1.add(cg_C_eq_5);
- PPL_Test.print_if_noisy("Printing a congruence system: ");
- PPL_Test.println_if_noisy(congruences1.toString());
-
- congruences2 = new Congruence_System();
- congruences2.add(cg_C_int);
-
- // Generator declarations.
- Generator g1 = Generator.point(le_40A_plus_10C, coeff_1);
- generator1 = g1;
- Generator g2 = Generator.point(le_40A_plus_10C, coeff_2);
- Generator g4 = Generator.point(le_A, coeff_4);
- PPL_Test.print_if_noisy("Printing a generator (p(40A + 10C)):");
- PPL_Test.println_if_noisy(g1.toString());
+ // Constraint_System declarations.
+ constraints1 = new Constraint_System();
+ constraints1.add(c_5_geq_0);
+ constraints1.add(c_C_eq_5);
+ PPL_Test.print_if_noisy("Printing a constraint system (C == 5):");
+ PPL_Test.println_if_noisy(constraints1.toString());
+
+ constraints2 = new Constraint_System();
+ constraints2.add(c_2A_plus_C_eq_2A);
+ constraints2.add(c_2A_eq_5);
+
+ congruences1 = new Congruence_System();
+ congruences1.add(cg_2A_eq_5);
+ congruences1.add(cg_C_eq_5);
+ PPL_Test.print_if_noisy("Printing a congruence system: ");
+ PPL_Test.println_if_noisy(congruences1.toString());
+
+ congruences2 = new Congruence_System();
+ congruences2.add(cg_C_int);
+
+ // Generator declarations.
+ Generator g1 = Generator.point(le_40A_plus_10C, coeff_1);
+ generator1 = g1;
+ Generator g2 = Generator.point(le_40A_plus_10C, coeff_2);
+ Generator g4 = Generator.point(le_A, coeff_4);
+ PPL_Test.print_if_noisy("Printing a generator (p(40A + 10C)):");
+ PPL_Test.println_if_noisy(g1.toString());
// Generator_System declaration.
generators1 = new Generator_System();
generators1.add(g1);
generators1.add(g2);
generators1.add(g4);
- PPL_Test.print_if_noisy("Printing a generator system: ");
- PPL_Test.println_if_noisy(generators1.toString());
+ PPL_Test.print_if_noisy("Printing a generator system: ");
+ PPL_Test.println_if_noisy(generators1.toString());
- // Grid_Generator declarations.
- Grid_Generator gg1
+ // Grid_Generator declarations.
+ Grid_Generator gg1
= Grid_Generator.grid_point(le_40A_plus_10C, coeff_1);
- grid_generator1 = gg1;
- Grid_Generator gg2
+ grid_generator1 = gg1;
+ Grid_Generator gg2
= Grid_Generator.grid_point(le_40A_plus_10C, coeff_2);
- Grid_Generator gg4
+ Grid_Generator gg4
= Grid_Generator.grid_point(le_A, coeff_4);
- // Grid_Generator_System declaration.
- grid_generators1 = new Grid_Generator_System();
- grid_generators1.add(gg1);
- grid_generators1.add(gg2);
- grid_generators1.add(gg4);
+ // Grid_Generator_System declaration.
+ grid_generators1 = new Grid_Generator_System();
+ grid_generators1.add(gg1);
+ grid_generators1.add(gg2);
+ grid_generators1.add(gg4);
bool_by_ref1 = new By_Reference<Boolean>(true);
bool_by_ref2 = new By_Reference<Boolean>(true);
@@ -183,9 +180,9 @@ public class ppl_java_generated_tests {
zero_by_ref1 = new By_Reference<Integer>(0);
partial_function = new Partial_Function();
- partial_function.insert(0, 2);
- partial_function.insert(2, 0);
- partial_function.insert(1, 1);
+ partial_function.insert(0, 2);
+ partial_function.insert(2, 0);
+ partial_function.insert(1, 1);
}
// Helper method.
diff --git a/interfaces/Makefile.am b/interfaces/Makefile.am
index 3811fd7..c467f3d 100644
--- a/interfaces/Makefile.am
+++ b/interfaces/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Makefile.in b/interfaces/Makefile.in
index 498d7b3..ad5e8d6 100644
--- a/interfaces/Makefile.in
+++ b/interfaces/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,7 @@ build_triplet = @build@
host_triplet = @host@
subdir = interfaces
DIST_COMMON = $(noinst_HEADERS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -92,12 +108,18 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -107,6 +129,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
HEADERS = $(noinst_HEADERS)
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
@@ -401,12 +428,12 @@ clean-libtool:
-rm -rf .libs _libs
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -416,7 +443,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -430,37 +461,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -469,6 +469,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -532,6 +536,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -567,13 +585,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -699,22 +714,22 @@ ps-am:
uninstall-am:
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) all check \
- ctags-recursive install install-am install-strip \
- tags-recursive
+ cscopelist-recursive ctags-recursive install install-am \
+ install-strip tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-generic clean-libtool \
- ctags ctags-recursive distclean distclean-generic \
- distclean-libtool distclean-tags distdir dvi dvi-am html \
- html-am info info-am install install-am install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-pdf install-pdf-am \
- install-ps install-ps-am install-strip installcheck \
- installcheck-am installdirs installdirs-am maintainer-clean \
- maintainer-clean-generic mostlyclean mostlyclean-generic \
- mostlyclean-libtool pdf pdf-am ps ps-am tags tags-recursive \
- uninstall uninstall-am
+ cscopelist cscopelist-recursive ctags ctags-recursive \
+ distclean distclean-generic distclean-libtool distclean-tags \
+ distdir dvi dvi-am html html-am info info-am install \
+ install-am install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-info install-info-am install-man \
+ install-pdf install-pdf-am install-ps install-ps-am \
+ install-strip installcheck installcheck-am installdirs \
+ installdirs-am maintainer-clean maintainer-clean-generic \
+ mostlyclean mostlyclean-generic mostlyclean-libtool pdf pdf-am \
+ ps ps-am tags tags-recursive uninstall uninstall-am
ppl_interface_instantiations.m4: Makefile
diff --git a/interfaces/OCaml/Makefile.am b/interfaces/OCaml/Makefile.am
index f7dd04f..b5e05ac 100644
--- a/interfaces/OCaml/Makefile.am
+++ b/interfaces/OCaml/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -72,8 +72,8 @@ ppl_ocaml_domains_cc_files.stamp
pkglib_LIBRARIES = libppl_ocaml.a
libppl_ocaml_a_SOURCES = \
-ppl_ocaml_common.defs.hh \
-ppl_ocaml_common.inlines.hh \
+ppl_ocaml_common_defs.hh \
+ppl_ocaml_common_inlines.hh \
ppl_ocaml_common.cc
nodist_EXTRA_libppl_ocaml_a_SOURCES = \
@@ -216,16 +216,16 @@ ppl_ocaml.o: ppl_ocaml.cmx
fi
ppl_ocaml.cmi: ppl_ocaml.mli
- $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) $<
+ $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) ppl_ocaml.mli
ppl_ocaml_globals.cmo: ppl_ocaml_globals.ml ppl_ocaml_globals.cmi
$(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) \
- $(srcdir)/ppl_ocaml_globals.ml
+ $(srcdir)/ppl_ocaml_globals.ml
ppl_ocaml_globals.cmx: \
ppl_ocaml_globals.ml ppl_ocaml_globals.cmi
$(OCAMLOPT_ENV) $(OCAMLOPT) -o $@ -c $(OCAMLOPT_COMPILE_FLAGS) \
- $(srcdir)/ppl_ocaml_globals.ml
+ $(srcdir)/ppl_ocaml_globals.ml
ppl_ocaml_globals.o: ppl_ocaml_globals.cmx
@if test -f $@; then :; else \
@@ -234,20 +234,21 @@ ppl_ocaml_globals.o: ppl_ocaml_globals.cmx
fi
ppl_ocaml_globals.cmi: ppl_ocaml_globals.mli
- $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) $<
+ $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) \
+ $(srcdir)/ppl_ocaml_globals.mli
ppl_ocaml.ml: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_ml.m4 > $@
+ $(srcdir)/ppl_interface_generator_ocaml_ml.m4 > $@
ppl_ocaml.mli: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_mli.m4 > $@
+ $(srcdir)/ppl_interface_generator_ocaml_mli.m4 > $@
ppl_ocaml_domains_cc_files.stamp: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_cc_files.m4 \
- > ppl_ocaml_cc_blob
+ $(srcdir)/ppl_interface_generator_ocaml_cc_files.m4 \
+ > ppl_ocaml_cc_blob
$(top_srcdir)/utils/cm_cleaner.sh ./ppl_ocaml_cc_blob
$(top_srcdir)/utils/cm_splitter.sh ./ppl_ocaml_cc_blob
rm -f ppl_ocaml_cc_blob
@@ -255,8 +256,8 @@ ppl_ocaml_domains_cc_files.stamp: $(interface_generator_dependencies)
ppl_ocaml_domains.hh: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_hh_files.m4 \
- > ppl_ocaml_hh_blob
+ $(srcdir)/ppl_interface_generator_ocaml_hh_files.m4 \
+ > ppl_ocaml_hh_blob
$(top_srcdir)/utils/cm_cleaner.sh ./ppl_ocaml_hh_blob
$(top_srcdir)/utils/cm_splitter.sh ./ppl_ocaml_hh_blob
rm -f ppl_ocaml_hh_blob
diff --git a/interfaces/OCaml/Makefile.in b/interfaces/OCaml/Makefile.in
index d417a32..fc29078 100644
--- a/interfaces/OCaml/Makefile.in
+++ b/interfaces/OCaml/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/OCaml
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -124,13 +141,23 @@ LIBRARIES = $(pkglib_LIBRARIES)
ARFLAGS = cru
AM_V_AR = $(am__v_AR_ at AM_V@)
am__v_AR_ = $(am__v_AR_ at AM_DEFAULT_V@)
-am__v_AR_0 = @echo " AR " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_AR_0 = @echo " AR " $@;
+am__v_AR_1 =
libppl_ocaml_a_AR = $(AR) $(ARFLAGS)
am_libppl_ocaml_a_OBJECTS = ppl_ocaml_common.$(OBJEXT)
libppl_ocaml_a_OBJECTS = $(am_libppl_ocaml_a_OBJECTS)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -140,20 +167,23 @@ CXXCOMPILE = $(CXX) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=compile $(CXX) $(DEFS) \
$(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -162,17 +192,16 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_ocaml_a_SOURCES) \
$(nodist_EXTRA_libppl_ocaml_a_SOURCES)
DIST_SOURCES = $(libppl_ocaml_a_SOURCES)
@@ -183,6 +212,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(ocaml_DATA)
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
@@ -448,8 +482,8 @@ ppl_ocaml_domains_cc_files.stamp
pkglib_LIBRARIES = libppl_ocaml.a
libppl_ocaml_a_SOURCES = \
-ppl_ocaml_common.defs.hh \
-ppl_ocaml_common.inlines.hh \
+ppl_ocaml_common_defs.hh \
+ppl_ocaml_common_inlines.hh \
ppl_ocaml_common.cc
nodist_EXTRA_libppl_ocaml_a_SOURCES = \
@@ -614,7 +648,6 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-pkglibLIBRARIES: $(pkglib_LIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)"
@list='$(pkglib_LIBRARIES)'; test -n "$(pkglibdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -622,6 +655,8 @@ install-pkglibLIBRARIES: $(pkglib_LIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkglibdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" || exit 1; \
echo " $(INSTALL_DATA) $$list2 '$(DESTDIR)$(pkglibdir)'"; \
$(INSTALL_DATA) $$list2 "$(DESTDIR)$(pkglibdir)" || exit $$?; }
@$(POST_INSTALL)
@@ -754,8 +789,11 @@ clean-libtool:
-rm -rf .libs _libs
install-ocamlDATA: $(ocaml_DATA)
@$(NORMAL_INSTALL)
- test -z "$(ocamldir)" || $(MKDIR_P) "$(DESTDIR)$(ocamldir)"
@list='$(ocaml_DATA)'; test -n "$(ocamldir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(ocamldir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(ocamldir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -772,12 +810,12 @@ uninstall-ocamlDATA:
dir='$(DESTDIR)$(ocamldir)'; $(am__uninstall_files_from_dir)
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -787,7 +825,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -801,37 +843,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -840,6 +851,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -903,6 +918,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -938,13 +967,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -1079,24 +1105,25 @@ ps-am:
uninstall-am: uninstall-ocamlDATA uninstall-pkglibLIBRARIES
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) all check \
- ctags-recursive install install-am install-strip \
- tags-recursive
+ cscopelist-recursive ctags-recursive install install-am \
+ install-strip tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-generic clean-libtool \
- clean-pkglibLIBRARIES ctags ctags-recursive distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-data install-data-am install-dvi \
- install-dvi-am install-exec install-exec-am install-html \
- install-html-am install-info install-info-am install-man \
- install-ocamlDATA install-pdf install-pdf-am \
- install-pkglibLIBRARIES install-ps install-ps-am install-strip \
- installcheck installcheck-am installdirs installdirs-am \
- maintainer-clean maintainer-clean-generic mostlyclean \
- mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
- pdf pdf-am ps ps-am tags tags-recursive uninstall uninstall-am \
- uninstall-ocamlDATA uninstall-pkglibLIBRARIES
+ clean-pkglibLIBRARIES cscopelist cscopelist-recursive ctags \
+ ctags-recursive distclean distclean-compile distclean-generic \
+ distclean-libtool distclean-tags distdir dvi dvi-am html \
+ html-am info info-am install install-am install-data \
+ install-data-am install-dvi install-dvi-am install-exec \
+ install-exec-am install-html install-html-am install-info \
+ install-info-am install-man install-ocamlDATA install-pdf \
+ install-pdf-am install-pkglibLIBRARIES install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs installdirs-am maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-compile \
+ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
+ tags tags-recursive uninstall uninstall-am uninstall-ocamlDATA \
+ uninstall-pkglibLIBRARIES
ppl_ocaml.cma: ppl_ocaml_globals.cmo ppl_ocaml.cmo libppl_ocaml.a
@@ -1133,16 +1160,16 @@ ppl_ocaml.o: ppl_ocaml.cmx
fi
ppl_ocaml.cmi: ppl_ocaml.mli
- $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) $<
+ $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) ppl_ocaml.mli
ppl_ocaml_globals.cmo: ppl_ocaml_globals.ml ppl_ocaml_globals.cmi
$(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) \
- $(srcdir)/ppl_ocaml_globals.ml
+ $(srcdir)/ppl_ocaml_globals.ml
ppl_ocaml_globals.cmx: \
ppl_ocaml_globals.ml ppl_ocaml_globals.cmi
$(OCAMLOPT_ENV) $(OCAMLOPT) -o $@ -c $(OCAMLOPT_COMPILE_FLAGS) \
- $(srcdir)/ppl_ocaml_globals.ml
+ $(srcdir)/ppl_ocaml_globals.ml
ppl_ocaml_globals.o: ppl_ocaml_globals.cmx
@if test -f $@; then :; else \
@@ -1151,20 +1178,21 @@ ppl_ocaml_globals.o: ppl_ocaml_globals.cmx
fi
ppl_ocaml_globals.cmi: ppl_ocaml_globals.mli
- $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) $<
+ $(OCAMLC_ENV) $(OCAMLC) -o $@ -c $(OCAMLC_COMPILE_FLAGS) \
+ $(srcdir)/ppl_ocaml_globals.mli
ppl_ocaml.ml: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_ml.m4 > $@
+ $(srcdir)/ppl_interface_generator_ocaml_ml.m4 > $@
ppl_ocaml.mli: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_mli.m4 > $@
+ $(srcdir)/ppl_interface_generator_ocaml_mli.m4 > $@
ppl_ocaml_domains_cc_files.stamp: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_cc_files.m4 \
- > ppl_ocaml_cc_blob
+ $(srcdir)/ppl_interface_generator_ocaml_cc_files.m4 \
+ > ppl_ocaml_cc_blob
$(top_srcdir)/utils/cm_cleaner.sh ./ppl_ocaml_cc_blob
$(top_srcdir)/utils/cm_splitter.sh ./ppl_ocaml_cc_blob
rm -f ppl_ocaml_cc_blob
@@ -1172,8 +1200,8 @@ ppl_ocaml_domains_cc_files.stamp: $(interface_generator_dependencies)
ppl_ocaml_domains.hh: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I.. -I$(srcdir) -I$(srcdir)/.. \
- $(srcdir)/ppl_interface_generator_ocaml_hh_files.m4 \
- > ppl_ocaml_hh_blob
+ $(srcdir)/ppl_interface_generator_ocaml_hh_files.m4 \
+ > ppl_ocaml_hh_blob
$(top_srcdir)/utils/cm_cleaner.sh ./ppl_ocaml_hh_blob
$(top_srcdir)/utils/cm_splitter.sh ./ppl_ocaml_hh_blob
rm -f ppl_ocaml_hh_blob
diff --git a/interfaces/OCaml/OCaml_interface.dox b/interfaces/OCaml/OCaml_interface.dox
index 8cb9c6f..56ceff4 100644
--- a/interfaces/OCaml/OCaml_interface.dox
+++ b/interfaces/OCaml/OCaml_interface.dox
@@ -1,6 +1,6 @@
/* Documentation for the OCaml interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/OCaml/README.ocaml b/interfaces/OCaml/README.ocaml
index 6b3cc52..b88415d 100644
--- a/interfaces/OCaml/README.ocaml
+++ b/interfaces/OCaml/README.ocaml
@@ -1,5 +1,5 @@
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is free software; as a special exception the author gives
# unlimited permission to copy and/or distribute it, with or without
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_cc_code.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_cc_code.m4
index f5d4ae0..f07f513 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_cc_code.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_cc_code.m4
@@ -6,7 +6,7 @@ files ppl_ocaml_DOMAIN.cc for each interface domain DOMAIN
in ppl_interface instantiations.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -67,8 +67,8 @@ extern "C"
CAMLprim value
ppl_new_ at TOPOLOGY@@CLASS at _from_space_dimension(value d, value caml_de) try {
CAMLparam2(d, caml_de);
- dimension_type dd = value_to_ppl_dimension(d);
- Degenerate_Element ppl_de = build_ppl_Degenerate_Element(caml_de);
+ const dimension_type dd = value_to_ppl_dimension(d);
+ const Degenerate_Element ppl_de = build_ppl_Degenerate_Element(caml_de);
@TOPOLOGY@@CPP_CLASS@& ppl_value = *new @TOPOLOGY@@CPP_CLASS@(dd, ppl_de);
CAMLreturn(unregistered_value_p_ at CLASS@(ppl_value));
}
@@ -255,7 +255,7 @@ CAMLprim value
ppl_ at CLASS@_ at BINOP@(value ph1, value ph2) try {
CAMLparam2(ph1, ph2);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
pph1. at BINOP@(pph2);
CAMLreturn(Val_unit);
}
@@ -270,7 +270,7 @@ CAMLprim value
ppl_ at CLASS@_simplify_using_context_assign(value ph1, value ph2) try {
CAMLparam2(ph1, ph2);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
CAMLreturn(Val_bool(pph1.simplify_using_context_assign(pph2)));
}
CATCH_ALL
@@ -284,7 +284,7 @@ CAMLprim value
ppl_ at CLASS@_add_space_dimensions_ at EMBEDPROJECT@
(value ph, value d) try {
CAMLparam2(ph, d);
- dimension_type dd = value_to_ppl_dimension(d);
+ const dimension_type dd = value_to_ppl_dimension(d);
@CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
pph.add_space_dimensions_and_embed(dd);
CAMLreturn(Val_unit);
@@ -313,7 +313,7 @@ extern "C"
CAMLprim value
ppl_ at CLASS@_remove_higher_space_dimensions(value ph, value d) try {
CAMLparam2(ph, d);
- dimension_type dd = value_to_ppl_dimension(d);
+ const dimension_type dd = value_to_ppl_dimension(d);
@CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
pph.remove_higher_space_dimensions(dd);
CAMLreturn(Val_unit);
@@ -329,7 +329,7 @@ CAMLprim value
ppl_ at CLASS@_fold_space_dimensions
(value ph, value caml_vset, value caml_dim) try {
CAMLparam1(ph);
- dimension_type ppl_dim = Int_val(caml_dim);
+ const dimension_type ppl_dim = Int_val(caml_dim);
@CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
Variables_Set ppl_vset;
if (Int_val(caml_vset) == 0)
@@ -358,8 +358,8 @@ ppl_ at CLASS@_map_space_dimensions(value ph, value caml_mapped_dims) try {
Partial_Function pfunc;
while (caml_mapped_dims != Val_emptylist) {
head = Field(caml_mapped_dims, 0);
- dimension_type domain_dim = value_to_ppl_dimension(Field(head, 0));
- dimension_type codomain_dim = value_to_ppl_dimension(Field(head, 1));
+ const dimension_type domain_dim = value_to_ppl_dimension(Field(head, 0));
+ const dimension_type codomain_dim = value_to_ppl_dimension(Field(head, 1));
pfunc.insert(domain_dim, codomain_dim);
caml_mapped_dims = Field(caml_mapped_dims, 1);
}
@@ -378,8 +378,8 @@ CAMLprim value
ppl_ at CLASS@_expand_space_dimension
(value ph, value var_index, value m) try {
CAMLparam3(ph, var_index, m);
- Variable var = build_ppl_Variable(var_index);
- dimension_type c_m = value_to_ppl_dimension(m);
+ const Variable var = build_ppl_Variable(var_index);
+ const dimension_type c_m = value_to_ppl_dimension(m);
@CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
pph.expand_space_dimension(var, c_m);
CAMLreturn(Val_unit);
@@ -396,7 +396,7 @@ ppl_ at CLASS@_drop_some_non_integer_points
(value ph, value caml_cc) try {
CAMLparam1(ph);
@CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
- Complexity_Class ppl_cc = build_ppl_Complexity_Class(caml_cc);
+ const Complexity_Class ppl_cc = build_ppl_Complexity_Class(caml_cc);
pph.drop_some_non_integer_points(ppl_cc);
CAMLreturn(Val_unit);
}
@@ -421,7 +421,7 @@ ppl_ at CLASS@_drop_some_non_integer_points_2
break;
caml_vset = Field(caml_vset, 1);
}
- Complexity_Class ppl_cc = build_ppl_Complexity_Class(caml_cc);
+ const Complexity_Class ppl_cc = build_ppl_Complexity_Class(caml_cc);
pph.drop_some_non_integer_points(ppl_vset, ppl_cc);
CAMLreturn(Val_unit);
}
@@ -625,7 +625,7 @@ CAMLprim value
ppl_ at CLASS@_ at WIDEN@_widening_assign(value ph1, value ph2) try {
CAMLparam2(ph1, ph2);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
pph1. at WIDEN@_widening_assign(pph2);
CAMLreturn(Val_unit);
}
@@ -642,7 +642,7 @@ ppl_ at CLASS@_ at WIDEN@_widening_assign_with_tokens
(value ph1, value ph2, value tokens) try {
CAMLparam3(ph1, ph2, tokens);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
unsigned u_tokens = value_to_unsigned<unsigned>(tokens);
pph1. at WIDEN@_widening_assign(pph2, &u_tokens);
CAMLreturn(Val_long(u_tokens));
@@ -658,7 +658,7 @@ CAMLprim value
ppl_ at CLASS@_widening_assign(value ph1, value ph2) try {
CAMLparam2(ph1, ph2);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
pph1.widening_assign(pph2);
CAMLreturn(Val_unit);
}
@@ -674,7 +674,7 @@ ppl_ at CLASS@_widening_assign_with_tokens
(value ph1, value ph2, value tokens) try {
CAMLparam3(ph1, ph2, tokens);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
unsigned u_tokens = value_to_unsigned<unsigned>(tokens);
pph1.widening_assign(pph2, &u_tokens);
CAMLreturn(Val_long(u_tokens));
@@ -691,8 +691,8 @@ ppl_ at CLASS@_ at LIMITEDBOUNDED@_ at WIDENEXPN@_extrapolation_assign_with_tokens
(value ph1, value ph2, value caml_cs, value tokens) try {
CAMLparam4(ph1, ph2, caml_cs, tokens);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
- @!CONSTRAINER at _System ppl_cs = build_ppl_@!CONSTRAINER at _System(caml_cs);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @!CONSTRAINER at _System ppl_cs = build_ppl_@!CONSTRAINER at _System(caml_cs);
unsigned u_tokens = value_to_unsigned<unsigned>(tokens);
pph1. at LIMITEDBOUNDED@_ at WIDENEXPN@_extrapolation_assign(pph2, ppl_cs,
&u_tokens);
@@ -711,8 +711,8 @@ ppl_ at CLASS@_ at LIMITEDBOUNDED@_ at WIDENEXPN@_extrapolation_assign(value ph1,
value caml_cs) try {
CAMLparam3(ph1, ph2, caml_cs);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
- @!CONSTRAINER at _System ppl_cs = build_ppl_@!CONSTRAINER at _System(caml_cs);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @!CONSTRAINER at _System ppl_cs = build_ppl_@!CONSTRAINER at _System(caml_cs);
pph1. at LIMITEDBOUNDED@_ at WIDENEXPN@_extrapolation_assign(pph2, ppl_cs);
CAMLreturn(Val_unit);
}
@@ -839,7 +839,7 @@ extern "C"
CAMLprim value
ppl_ at CLASS@_ at MEMBYTES@(value ph) try {
CAMLparam1(ph);
- @CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
+ const @CPP_CLASS@& pph = *p_ at CLASS@_val(ph);
CAMLreturn(Val_long(pph. at MEMBYTES@()));
}
CATCH_ALL
@@ -867,8 +867,8 @@ extern "C"
CAMLprim value
ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND@(value ph) try {
CAMLparam1(ph);
- @B_FRIEND@& pph = *(reinterpret_cast<@B_FRIEND@*>( p_ at A_FRIEND@_val(ph)));
- @CPP_CLASS@& ppl_value
+ @B_FRIEND@& pph = *(reinterpret_cast<@B_FRIEND@*>(p_ at A_FRIEND@_val(ph)));
+ const @CPP_CLASS@& ppl_value
= *(reinterpret_cast<@CPP_CLASS@*>(new @TOPOLOGY@@CPP_CLASS@(pph)));
CAMLreturn(unregistered_value_p_ at CLASS@(ppl_value));
}
@@ -883,7 +883,7 @@ CAMLprim value
ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND at _with_complexity(value ph, value caml_cc) try {
CAMLparam1(ph);
@B_FRIEND@& pph = *(reinterpret_cast<@B_FRIEND@*>( p_ at A_FRIEND@_val(ph)));
- Complexity_Class ppl_cc = build_ppl_Complexity_Class(caml_cc);
+ const Complexity_Class ppl_cc = build_ppl_Complexity_Class(caml_cc);
@CPP_CLASS@& ppl_value
= *(reinterpret_cast<@CPP_CLASS@*>(new @TOPOLOGY@@CPP_CLASS@(pph, ppl_cc)));
CAMLreturn(unregistered_value_p_ at CLASS@(ppl_value));
@@ -959,7 +959,7 @@ ppl_ at CLASS@_ at EXTRAPOLATION@_extrapolation_assign_with_tokens
(value ph1, value ph2, value tokens) try {
CAMLparam3(ph1, ph2, tokens);
@CPP_CLASS@& pph1 = *p_ at CLASS@_val(ph1);
- @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
+ const @CPP_CLASS@& pph2 = *p_ at CLASS@_val(ph2);
unsigned u_tokens = value_to_unsigned<unsigned>(tokens);
pph1. at EXTRAPOLATION@_extrapolation_assign(pph2, &u_tokens);
CAMLreturn(Val_long(u_tokens));
@@ -1491,9 +1491,9 @@ ppl_ at CLASS@_wrap_assign_native
}
build_ppl_bounded_integer_type_representation(rep);
build_ppl_bounded_integer_type_overflow(oflow);
- Constraint_System ppl_cs = build_ppl_Constraint_System(cs);
- unsigned ppl_complexity = value_to_unsigned<unsigned>(complexity);
- bool ppl_wrap_ind = Bool_val(wrap_ind);
+ const Constraint_System ppl_cs = build_ppl_Constraint_System(cs);
+ const unsigned ppl_complexity = value_to_unsigned<unsigned>(complexity);
+ const bool ppl_wrap_ind = Bool_val(wrap_ind);
pph.wrap_assign(ppl_vset,
build_ppl_bounded_integer_type_width(width),
build_ppl_bounded_integer_type_representation(rep),
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_cc_files.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_cc_files.m4
index 178f4d0..a8d2204 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_cc_files.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_cc_files.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_ocaml.cc
dnl using the code in ppl_interface_generator_ocaml_cc_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_hh_code.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_hh_code.m4
index 94cc9e9..cc6a57c 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_hh_code.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_hh_code.m4
@@ -1,7 +1,7 @@
dnl Used by ppl_interfaces_generator_ocaml_hh_files.m4
dnl for generating the access code for the OCaml interface.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_hh_files.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_hh_files.m4
index 5a98205..c39ae9f 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_hh_files.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_hh_files.m4
@@ -7,7 +7,7 @@ dnl in ppl_interface instantiations.m4 using the code in
dnl ppl_interface_generator_ocaml_hh_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -58,7 +58,7 @@ ___BEGIN_OF_FILE___ ppl_ocaml_domains.hh << ___END_OF_FILE___
m4_include(`ppl_interface_generator_copyright')`'dnl
*/
-`#'include "ppl_ocaml_common.defs.hh"
+`#'include "ppl_ocaml_common_defs.hh"
m4_all_code
___END_OF_FILE___
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_ml.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_ml.m4
index 9317a54..7546b40 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_ml.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_ml.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_ocaml.ml
dnl using the code in ppl_interface_generator_ocaml_ml_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_ml_code.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_ml_code.m4
index 9dfb5b1..472f86f 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_ml_code.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_ml_code.m4
@@ -4,7 +4,7 @@ sm4_divert(-1)
This m4 file contains the program code for generating ppl_ocaml.ml
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_mli.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_mli.m4
index ff71553..9208bde 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_mli.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_mli.m4
@@ -5,7 +5,7 @@ dnl This m4 file generates the file ppl_ocaml.mli
dnl using the code in ppl_interface_generator_ocaml_mli_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_mli_code.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_mli_code.m4
index b357840..cb33cb6 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_mli_code.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_mli_code.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
This m4 file contains the program code for generating ppl_ocaml.mli
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_interface_generator_ocaml_procedure_generators.m4 b/interfaces/OCaml/ppl_interface_generator_ocaml_procedure_generators.m4
index 29866b7..47dfada 100644
--- a/interfaces/OCaml/ppl_interface_generator_ocaml_procedure_generators.m4
+++ b/interfaces/OCaml/ppl_interface_generator_ocaml_procedure_generators.m4
@@ -5,7 +5,7 @@ dnl for the OCaml interface; this includes:
dnl - the list in the imported file and any OCaml specific procedures.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/ppl_ocaml_common.cc b/interfaces/OCaml/ppl_ocaml_common.cc
index 889dda1..3e39178 100644
--- a/interfaces/OCaml/ppl_ocaml_common.cc
+++ b/interfaces/OCaml/ppl_ocaml_common.cc
@@ -1,6 +1,6 @@
/* Domain-independent part of the OCaml interface: non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -21,7 +21,7 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-#include "ppl_ocaml_common.defs.hh"
+#include "ppl_ocaml_common_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -360,7 +360,7 @@ get_linear_expression(const R& r) {
dimension_type varid = 0;
PPL_DIRTY_TEMP_COEFFICIENT(coeff);
while (varid < space_dimension
- && (coeff = r.coefficient(Variable(varid))) == 0)
+ && (coeff = r.coefficient(Variable(varid))) == 0)
++varid;
if (varid >= space_dimension) {
zero_mpz = unregistered_value_p_zero_mpz();
@@ -379,21 +379,21 @@ get_linear_expression(const R& r) {
while (true) {
++varid;
while (varid < space_dimension
- && (coeff = r.coefficient(Variable(varid))) == 0)
- ++varid;
+ && (coeff = r.coefficient(Variable(varid))) == 0)
+ ++varid;
if (varid >= space_dimension)
- CAMLreturn(term1);
+ CAMLreturn(term1);
else {
- ml_le_var2 = caml_alloc(1,0);
- Store_field(ml_le_var2, 0, ppl_dimension_to_value(varid));
- term2 = caml_alloc(2,6);
- ppl_coeff = r.coefficient(Variable(varid));
- Store_field(term2, 0, build_ocaml_coefficient(ppl_coeff));
- Store_field(term2, 1, ml_le_var2);
- sum = caml_alloc(2,4);
- Store_field(sum, 0, term1);
- Store_field(sum, 1, term2);
- term1 = sum;
+ ml_le_var2 = caml_alloc(1,0);
+ Store_field(ml_le_var2, 0, ppl_dimension_to_value(varid));
+ term2 = caml_alloc(2,6);
+ ppl_coeff = r.coefficient(Variable(varid));
+ Store_field(term2, 0, build_ocaml_coefficient(ppl_coeff));
+ Store_field(term2, 1, ml_le_var2);
+ sum = caml_alloc(2,4);
+ Store_field(sum, 0, term1);
+ Store_field(sum, 1, term2);
+ term1 = sum;
}
}
}
@@ -513,7 +513,7 @@ build_ocaml_congruence_system(const Congruence_System& ppl_cgs) {
CAMLlocal2(result, new_tail);
result = Val_emptylist;
for (Congruence_System::const_iterator v_begin = ppl_cgs.begin(),
- v_end = ppl_cgs.end(); v_begin != v_end; ++v_begin) {
+ v_end = ppl_cgs.end(); v_begin != v_end; ++v_begin) {
new_tail = caml_alloc_tuple(2);
Store_field(new_tail, 0, build_ocaml_congruence(*v_begin));
Store_field(new_tail, 1, result);
@@ -528,7 +528,7 @@ build_ocaml_constraint_system(const Constraint_System& ppl_cs) {
CAMLlocal2(result, new_tail);
result = Val_emptylist;
for (Constraint_System::const_iterator v_begin = ppl_cs.begin(),
- v_end = ppl_cs.end(); v_begin != v_end; ++v_begin) {
+ v_end = ppl_cs.end(); v_begin != v_end; ++v_begin) {
new_tail = caml_alloc_tuple(2);
Store_field(new_tail, 0, build_ocaml_constraint(*v_begin));
Store_field(new_tail, 1, result);
@@ -543,7 +543,7 @@ build_ocaml_generator_system(const Generator_System& ppl_gs) {
CAMLlocal2(result, new_tail);
result = Val_emptylist;
for (Generator_System::const_iterator v_begin = ppl_gs.begin(),
- v_end = ppl_gs.end(); v_begin != v_end; ++v_begin) {
+ v_end = ppl_gs.end(); v_begin != v_end; ++v_begin) {
new_tail = caml_alloc_tuple(2);
Store_field(new_tail, 0, build_ocaml_generator(*v_begin));
Store_field(new_tail, 1, result);
@@ -558,7 +558,7 @@ build_ocaml_grid_generator_system(const Grid_Generator_System& ppl_ggs) {
CAMLlocal2(result, new_tail);
result = Val_emptylist;
for (Grid_Generator_System::const_iterator v_begin = ppl_ggs.begin(),
- v_end = ppl_ggs.end(); v_begin != v_end; ++v_begin) {
+ v_end = ppl_ggs.end(); v_begin != v_end; ++v_begin) {
new_tail = caml_alloc_tuple(2);
Store_field(new_tail, 0, build_ocaml_grid_generator(*v_begin));
Store_field(new_tail, 1, result);
@@ -645,13 +645,13 @@ build_ppl_Generator(value g) {
// Point
mpz_class z(mpz_ptr_val(Field(g, 1)));
return Generator::point(build_ppl_Linear_Expression(Field(g, 0)),
- Coefficient(z));
+ Coefficient(z));
}
case 3: {
// Closure_point
mpz_class z(mpz_ptr_val(Field(g, 1)));
return Generator::closure_point(build_ppl_Linear_Expression(Field(g, 0)),
- Coefficient(z));
+ Coefficient(z));
}
default:
throw std::invalid_argument("PPL OCaml interface invalid argument:\n"
@@ -669,13 +669,13 @@ build_ppl_Grid_Generator(value gg) {
// Parameter
mpz_class z(mpz_ptr_val(Field(gg, 1)));
return parameter(build_ppl_Linear_Expression(Field(gg, 0)),
- Coefficient(z));
+ Coefficient(z));
}
case 2: {
// Point
mpz_class z(mpz_ptr_val(Field(gg, 1)));
return grid_point(build_ppl_Linear_Expression(Field(gg, 0)),
- Coefficient(z));
+ Coefficient(z));
}
default:
// We should not be here!
@@ -833,7 +833,7 @@ extern "C"
CAMLprim value
ppl_new_MIP_Problem_from_space_dimension(value d) try {
CAMLparam1(d);
- dimension_type dd = value_to_ppl_dimension(d);
+ const dimension_type dd = value_to_ppl_dimension(d);
MIP_Problem& ppl_mip = *new MIP_Problem(dd);
CAMLreturn(unregistered_value_p_MIP_Problem(ppl_mip));
}
@@ -842,13 +842,13 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_new_MIP_Problem(value d, value caml_cs, value caml_cost,
- value caml_opt_mode) try {
+ value caml_opt_mode) try {
CAMLparam4(d, caml_cs, caml_cost, caml_opt_mode);
- dimension_type dd = value_to_ppl_dimension(d);
- Constraint_System ppl_cs = build_ppl_Constraint_System(caml_cs);
- Linear_Expression ppl_cost = build_ppl_Linear_Expression(caml_cost);
- Optimization_Mode ppl_opt_mode = build_ppl_opt_mode(caml_opt_mode);
- MIP_Problem& ppl_mip = *new MIP_Problem(dd, ppl_cs, ppl_cost, ppl_opt_mode);
+ const dimension_type dd = value_to_ppl_dimension(d);
+ const Constraint_System ppl_cs = build_ppl_Constraint_System(caml_cs);
+ const Linear_Expression ppl_cost = build_ppl_Linear_Expression(caml_cost);
+ const Optimization_Mode ppl_opt_mode = build_ppl_opt_mode(caml_opt_mode);
+ MIP_Problem& ppl_mip = *new MIP_Problem(dd, ppl_cs, ppl_cost, ppl_opt_mode);
CAMLreturn(unregistered_value_p_MIP_Problem(ppl_mip));
}
CATCH_ALL
@@ -890,7 +890,7 @@ ppl_MIP_Problem_constraints(value caml_mip) try {
const MIP_Problem& ppl_mip = *p_MIP_Problem_val(caml_mip);
Constraint_System cs;
for (MIP_Problem::const_iterator cs_it = ppl_mip.constraints_begin(),
- cs_end = ppl_mip.constraints_end(); cs_it != cs_end; ++cs_it) {
+ cs_end = ppl_mip.constraints_end(); cs_it != cs_end; ++cs_it) {
cs.insert(*cs_it);
}
CAMLreturn(build_ocaml_constraint_system(cs));
@@ -901,7 +901,7 @@ extern "C"
CAMLprim value
ppl_MIP_Problem_add_space_dimensions_and_embed(value caml_mip, value dim) try {
CAMLparam2(caml_mip, dim);
- dimension_type ppl_dim = value_to_ppl_dimension(dim);
+ const dimension_type ppl_dim = value_to_ppl_dimension(dim);
MIP_Problem& ppl_mip = *p_MIP_Problem_val(caml_mip);
ppl_mip.add_space_dimensions_and_embed(ppl_dim);
CAMLreturn(Val_unit);
@@ -911,7 +911,7 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_MIP_Problem_add_to_integer_space_dimensions(value caml_mip,
- value caml_ivars) try {
+ value caml_ivars) try {
CAMLparam2(caml_mip, caml_ivars);
MIP_Problem& ppl_mip = *p_MIP_Problem_val(caml_mip);
ppl_mip.add_to_integer_space_dimensions(build_ppl_Variables_Set(caml_ivars));
@@ -922,7 +922,7 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_MIP_Problem_add_constraint(value caml_mip,
- value caml_constraint) try {
+ value caml_constraint) try {
CAMLparam2(caml_mip, caml_constraint);
MIP_Problem& ppl_mip = *p_MIP_Problem_val(caml_mip);
ppl_mip.add_constraint(build_ppl_Constraint(caml_constraint));
@@ -944,7 +944,7 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_MIP_Problem_set_objective_function(value caml_mip,
- value caml_cost) try {
+ value caml_cost) try {
CAMLparam2(caml_mip, caml_cost);
MIP_Problem& ppl_mip = *p_MIP_Problem_val(caml_mip);
ppl_mip.set_objective_function(build_ppl_Linear_Expression(caml_cost));
@@ -1067,7 +1067,7 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_MIP_Problem_evaluate_objective_function(value caml_mip,
- value caml_generator) try {
+ value caml_generator) try {
CAMLparam2(caml_mip, caml_generator);
CAMLlocal1(caml_return_value);
Generator g = build_ppl_Generator(caml_generator);
@@ -1157,7 +1157,7 @@ extern "C"
CAMLprim value
ppl_new_PIP_Problem_from_space_dimension(value d) try {
CAMLparam1(d);
- dimension_type dd = value_to_ppl_dimension(d);
+ const dimension_type dd = value_to_ppl_dimension(d);
PIP_Problem& ppl_pip = *new PIP_Problem(dd);
CAMLreturn(unregistered_value_p_PIP_Problem(ppl_pip));
}
@@ -1167,8 +1167,8 @@ extern "C"
CAMLprim value
ppl_new_PIP_Problem(value d, value caml_cs, value caml_vset) try {
CAMLparam3(d, caml_cs, caml_vset);
- dimension_type dd = value_to_ppl_dimension(d);
- Constraint_System ppl_cs = build_ppl_Constraint_System(caml_cs);
+ const dimension_type dd = value_to_ppl_dimension(d);
+ const Constraint_System ppl_cs = build_ppl_Constraint_System(caml_cs);
Variables_Set ppl_vset;
if (Int_val(caml_vset) == 0)
CAMLreturn(Val_unit);
@@ -1190,7 +1190,7 @@ CAMLprim value
ppl_PIP_Problem_space_dimension(value pip) try {
CAMLparam1(pip);
const PIP_Problem& ppip = *p_PIP_Problem_val(pip);
- dimension_type d = ppip.space_dimension();
+ const dimension_type d = ppip.space_dimension();
CAMLreturn(ppl_dimension_to_value(d));
}
CATCH_ALL
@@ -1221,7 +1221,7 @@ ppl_PIP_Problem_constraints(value caml_pip) try {
const PIP_Problem& ppl_pip = *p_PIP_Problem_val(caml_pip);
Constraint_System cs;
for (PIP_Problem::const_iterator cs_it = ppl_pip.constraints_begin(),
- cs_end = ppl_pip.constraints_end(); cs_it != cs_end; ++cs_it) {
+ cs_end = ppl_pip.constraints_end(); cs_it != cs_end; ++cs_it) {
cs.insert(*cs_it);
}
CAMLreturn(build_ocaml_constraint_system(cs));
@@ -1244,7 +1244,7 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_PIP_Problem_add_to_parameter_space_dimensions(value caml_pip,
- value caml_ivars) try {
+ value caml_ivars) try {
CAMLparam2(caml_pip, caml_ivars);
PIP_Problem& ppl_pip = *p_PIP_Problem_val(caml_pip);
ppl_pip.add_to_parameter_space_dimensions
@@ -1256,7 +1256,7 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_PIP_Problem_add_constraint(value caml_pip,
- value caml_constraint) try {
+ value caml_constraint) try {
CAMLparam2(caml_pip, caml_constraint);
PIP_Problem& ppl_pip = *p_PIP_Problem_val(caml_pip);
ppl_pip.add_constraint(build_ppl_Constraint(caml_constraint));
@@ -1278,9 +1278,9 @@ CATCH_ALL
extern "C"
CAMLprim value
ppl_PIP_Problem_set_big_parameter_dimension(value caml_pip,
- value caml_dim) try {
+ value caml_dim) try {
CAMLparam2(caml_pip, caml_dim);
- dimension_type ppl_dim = value_to_ppl_dimension(caml_dim);
+ const dimension_type ppl_dim = value_to_ppl_dimension(caml_dim);
PIP_Problem& ppl_pip = *p_PIP_Problem_val(caml_pip);
ppl_pip.set_big_parameter_dimension(ppl_dim);
CAMLreturn(Val_unit);
@@ -1505,7 +1505,7 @@ ppl_PIP_Tree_Node_artificials(value caml_node) try {
"node is bottom.");
for (PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
v_begin = ppl_node->art_parameter_begin(),
- v_end = ppl_node->art_parameter_end(); v_begin != v_end; ++v_begin) {
+ v_end = ppl_node->art_parameter_end(); v_begin != v_end; ++v_begin) {
new_tail = caml_alloc_tuple(2);
Store_field(new_tail, 0, build_ocaml_artificial_parameter(*v_begin));
Store_field(new_tail, 1, result);
diff --git a/interfaces/OCaml/ppl_ocaml_common.defs.hh b/interfaces/OCaml/ppl_ocaml_common.defs.hh
deleted file mode 100644
index 17377fe..0000000
--- a/interfaces/OCaml/ppl_ocaml_common.defs.hh
+++ /dev/null
@@ -1,234 +0,0 @@
-/* Domain-independent part of the OCaml interface: declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_ocaml_common_defs_hh
-#define PPL_ppl_ocaml_common_defs_hh 1
-
-#include "ppl.hh"
-#include "interfaced_boxes.hh"
-#include "marked_pointers.hh"
-
-// Note: throw exception if the error is at the OCaml interface level.
-#define PPL_OCAML_UNEXPECTED \
- throw std::runtime_error("PPL OCaml interface internal error")
-#define PPL_OCAML_UNEXPECTED_MSG(msg) \
- throw std::runtime_error("PPL OCaml interface internal error:\n" msg)
-
-
-// OCaml include files.
-extern "C" {
-
-#define CAML_NAME_SPACE
-#include "caml/mlvalues.h"
-#include "caml/memory.h"
-#include "caml/custom.h"
-#include "caml/fail.h"
-#include "caml/callback.h"
-#include "caml/alloc.h"
-#undef CAML_NAME_SPACE
-
-} // extern "C"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace OCaml {
-
-template <typename U_Int>
-U_Int value_to_unsigned(value v);
-
-value
-ppl_dimension_to_value(dimension_type dim);
-
-dimension_type
-value_to_ppl_dimension(value dim);
-
-Variable
-build_ppl_Variable(value var);
-
-Degenerate_Element
-build_ppl_Degenerate_Element(value de);
-
-Complexity_Class
-build_ppl_Complexity_Class(value cc);
-
-Relation_Symbol
-build_ppl_relsym(value caml_relsym);
-
-Bounded_Integer_Type_Overflow
-build_ppl_bounded_integer_type_overflow(value caml_oflow);
-
-Bounded_Integer_Type_Representation
-build_ppl_bounded_integer_type_representation(value caml_rep);
-
-Bounded_Integer_Type_Width
-build_ppl_bounded_integer_type_width(value caml_width);
-
-Coefficient
-build_ppl_Coefficient(value coeff);
-
-Variable
-build_ppl_Variable(value caml_var);
-
-Variables_Set
-build_ppl_Variables_Set(value caml_vset);
-
-Linear_Expression
-build_ppl_Linear_Expression(value e);
-
-Constraint
-build_ppl_Constraint(value c);
-
-Congruence
-build_ppl_Congruence(value c);
-
-Generator
-build_ppl_Generator(value g);
-
-Grid_Generator
-build_ppl_Grid_Generator(value gg);
-
-Constraint_System
-build_ppl_Constraint_System(value cl);
-
-Congruence_System
-build_ppl_Congruence_System(value cgl);
-
-Generator_System
-build_ppl_Generator_System(value gl);
-
-Grid_Generator_System
-build_ppl_Grid_Generator_System(value ggs);
-
-value
-build_ocaml_poly_con_relation(Poly_Con_Relation& r);
-
-value
-build_ocaml_poly_gen_relation(Poly_Gen_Relation& r);
-
-value
-build_ocaml_coefficient(const Coefficient& c);
-
-value
-build_ocaml_constraint(const Constraint& c);
-
-value
-build_ocaml_congruence(const Congruence& cg);
-
-value
-build_ocaml_generator(const Generator& g);
-
-value
-build_ocaml_constraint_system(const Constraint_System& cs);
-
-value
-build_ocaml_congruence_system(const Congruence_System& cgs);
-
-value
-build_ocaml_grid_generator(const Grid_Generator& gg);
-
-value
-build_ocaml_generator_system(const Generator_System& gs);
-
-value
-build_ocaml_grid_generator_system(const Grid_Generator_System& ggs);
-
-class timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-class deterministic_timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-void reset_timeout();
-
-void reset_deterministic_timeout();
-
-} // namespace OCaml
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-#define CATCH_ALL \
-catch(std::bad_alloc&) { \
- caml_raise_out_of_memory(); \
-} \
-catch(std::invalid_argument& e) { \
- caml_invalid_argument(const_cast<char*>(e.what())); \
-} \
-catch(std::overflow_error& e) { \
- caml_raise_with_string(*caml_named_value("PPL_arithmetic_overflow"), \
- (const_cast<char*>(e.what()))); \
-} \
-catch(std::domain_error& e) { \
- caml_raise_with_string(*caml_named_value("PPL_domain_error"), \
- (const_cast<char*>(e.what()))); \
-} \
-catch(std::length_error& e) { \
- caml_raise_with_string(*caml_named_value("PPL_length_error"), \
- (const_cast<char*>(e.what()))); \
-} \
-catch(std::logic_error& e) { \
- caml_raise_with_string(*caml_named_value("PPL_logic_error"), \
- (const_cast<char*>(e.what()))); \
-} \
-catch(std::runtime_error& e) { \
- caml_raise_with_string(*caml_named_value("PPL_internal_error"), \
- (const_cast<char*>(e.what()))); \
-} \
-catch(std::exception& e) { \
- caml_raise_with_string(*caml_named_value("PPL_unknown_standard_exception"), \
- (const_cast<char*>(e.what()))); \
-} \
-catch(timeout_exception&) { \
- reset_timeout(); \
- caml_raise_constant(*caml_named_value("PPL_timeout_exception")); \
-} \
-catch(deterministic_timeout_exception&) { \
- reset_deterministic_timeout(); \
- caml_raise_constant(*caml_named_value("PPL_timeout_exception")); \
-} \
-catch(...) { \
- caml_raise_constant(*caml_named_value("PPL_unexpected_error")); \
-}
-
-#include "ppl_ocaml_common.inlines.hh"
-
-#endif // !defined(PPL_ppl_prolog_common_defs_hh)
diff --git a/interfaces/OCaml/ppl_ocaml_common.inlines.hh b/interfaces/OCaml/ppl_ocaml_common.inlines.hh
deleted file mode 100644
index f9054e5..0000000
--- a/interfaces/OCaml/ppl_ocaml_common.inlines.hh
+++ /dev/null
@@ -1,82 +0,0 @@
-/* Domain-independent part of the OCaml interface: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_ocaml_common_inlines_hh
-#define PPL_ppl_ocaml_common_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace OCaml {
-
-template <typename U_Int>
-U_Int
-value_to_unsigned(value v) {
- // FIXME: check the following at compile time.
- assert(std::numeric_limits<U_Int>::is_integer
- && !std::numeric_limits<U_Int>::is_signed);
- if (!Is_long(v)) {
- const char* what = "PPL OCaml interface invalid argument error:\n"
- "argument is not an integer (expecting a non-negative integer).";
- throw std::invalid_argument(what);
- }
- intnat vv = Long_val(v);
- if (vv < 0) {
- const char* what = "PPL OCaml interface invalid argument error:\n"
- "argument is negative (expecting a non-negative integer).";
- throw std::invalid_argument(what);
- }
- const uintnat u_max = std::numeric_limits<U_Int>::max();
- if (static_cast<uintnat>(vv) > u_max) {
- const char* what = "PPL OCaml interface invalid argument:\n"
- "argument value is too big (expecting a smaller non-negative integer).";
- throw std::invalid_argument(what);
- }
- return static_cast<U_Int>(vv);
-}
-
-inline dimension_type
-value_to_ppl_dimension(value v) {
- return value_to_unsigned<dimension_type>(v);
-}
-
-inline value
-ppl_dimension_to_value(dimension_type dim) {
- // FIXME: what if this assertion fails?
- assert(static_cast<uintnat>(dim) <= static_cast<uintnat>(Max_long));
- return Val_long(dim);
-}
-
-inline Variable
-build_ppl_Variable(value caml_var) {
- return Variable(value_to_ppl_dimension(caml_var));
-}
-
-} // namespace OCaml
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_ppl_ocaml_common_inlines_hh)
diff --git a/interfaces/OCaml/ppl_ocaml_common_defs.hh b/interfaces/OCaml/ppl_ocaml_common_defs.hh
new file mode 100644
index 0000000..c6cde29
--- /dev/null
+++ b/interfaces/OCaml/ppl_ocaml_common_defs.hh
@@ -0,0 +1,234 @@
+/* Domain-independent part of the OCaml interface: declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_ocaml_common_defs_hh
+#define PPL_ppl_ocaml_common_defs_hh 1
+
+#include "ppl.hh"
+#include "interfaced_boxes.hh"
+#include "marked_pointers.hh"
+
+// Note: throw exception if the error is at the OCaml interface level.
+#define PPL_OCAML_UNEXPECTED \
+ throw std::runtime_error("PPL OCaml interface internal error")
+#define PPL_OCAML_UNEXPECTED_MSG(msg) \
+ throw std::runtime_error("PPL OCaml interface internal error:\n" msg)
+
+
+// OCaml include files.
+extern "C" {
+
+#define CAML_NAME_SPACE
+#include "caml/mlvalues.h"
+#include "caml/memory.h"
+#include "caml/custom.h"
+#include "caml/fail.h"
+#include "caml/callback.h"
+#include "caml/alloc.h"
+#undef CAML_NAME_SPACE
+
+} // extern "C"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace OCaml {
+
+template <typename U_Int>
+U_Int value_to_unsigned(value v);
+
+value
+ppl_dimension_to_value(dimension_type dim);
+
+dimension_type
+value_to_ppl_dimension(value dim);
+
+Variable
+build_ppl_Variable(value var);
+
+Degenerate_Element
+build_ppl_Degenerate_Element(value de);
+
+Complexity_Class
+build_ppl_Complexity_Class(value cc);
+
+Relation_Symbol
+build_ppl_relsym(value caml_relsym);
+
+Bounded_Integer_Type_Overflow
+build_ppl_bounded_integer_type_overflow(value caml_oflow);
+
+Bounded_Integer_Type_Representation
+build_ppl_bounded_integer_type_representation(value caml_rep);
+
+Bounded_Integer_Type_Width
+build_ppl_bounded_integer_type_width(value caml_width);
+
+Coefficient
+build_ppl_Coefficient(value coeff);
+
+Variable
+build_ppl_Variable(value caml_var);
+
+Variables_Set
+build_ppl_Variables_Set(value caml_vset);
+
+Linear_Expression
+build_ppl_Linear_Expression(value e);
+
+Constraint
+build_ppl_Constraint(value c);
+
+Congruence
+build_ppl_Congruence(value c);
+
+Generator
+build_ppl_Generator(value g);
+
+Grid_Generator
+build_ppl_Grid_Generator(value gg);
+
+Constraint_System
+build_ppl_Constraint_System(value cl);
+
+Congruence_System
+build_ppl_Congruence_System(value cgl);
+
+Generator_System
+build_ppl_Generator_System(value gl);
+
+Grid_Generator_System
+build_ppl_Grid_Generator_System(value ggs);
+
+value
+build_ocaml_poly_con_relation(Poly_Con_Relation& r);
+
+value
+build_ocaml_poly_gen_relation(Poly_Gen_Relation& r);
+
+value
+build_ocaml_coefficient(const Coefficient& c);
+
+value
+build_ocaml_constraint(const Constraint& c);
+
+value
+build_ocaml_congruence(const Congruence& cg);
+
+value
+build_ocaml_generator(const Generator& g);
+
+value
+build_ocaml_constraint_system(const Constraint_System& cs);
+
+value
+build_ocaml_congruence_system(const Congruence_System& cgs);
+
+value
+build_ocaml_grid_generator(const Grid_Generator& gg);
+
+value
+build_ocaml_generator_system(const Generator_System& gs);
+
+value
+build_ocaml_grid_generator_system(const Grid_Generator_System& ggs);
+
+class timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+class deterministic_timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+void reset_timeout();
+
+void reset_deterministic_timeout();
+
+} // namespace OCaml
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+#define CATCH_ALL \
+catch(std::bad_alloc&) { \
+ caml_raise_out_of_memory(); \
+} \
+catch(std::invalid_argument& e) { \
+ caml_invalid_argument(const_cast<char*>(e.what())); \
+} \
+catch(std::overflow_error& e) { \
+ caml_raise_with_string(*caml_named_value("PPL_arithmetic_overflow"), \
+ (const_cast<char*>(e.what()))); \
+} \
+catch(std::domain_error& e) { \
+ caml_raise_with_string(*caml_named_value("PPL_domain_error"), \
+ (const_cast<char*>(e.what()))); \
+} \
+catch(std::length_error& e) { \
+ caml_raise_with_string(*caml_named_value("PPL_length_error"), \
+ (const_cast<char*>(e.what()))); \
+} \
+catch(std::logic_error& e) { \
+ caml_raise_with_string(*caml_named_value("PPL_logic_error"), \
+ (const_cast<char*>(e.what()))); \
+} \
+catch(std::runtime_error& e) { \
+ caml_raise_with_string(*caml_named_value("PPL_internal_error"), \
+ (const_cast<char*>(e.what()))); \
+} \
+catch(std::exception& e) { \
+ caml_raise_with_string(*caml_named_value("PPL_unknown_standard_exception"), \
+ (const_cast<char*>(e.what()))); \
+} \
+catch(timeout_exception&) { \
+ reset_timeout(); \
+ caml_raise_constant(*caml_named_value("PPL_timeout_exception")); \
+} \
+catch(deterministic_timeout_exception&) { \
+ reset_deterministic_timeout(); \
+ caml_raise_constant(*caml_named_value("PPL_timeout_exception")); \
+} \
+catch(...) { \
+ caml_raise_constant(*caml_named_value("PPL_unexpected_error")); \
+}
+
+#include "ppl_ocaml_common_inlines.hh"
+
+#endif // !defined(PPL_ppl_prolog_common_defs_hh)
diff --git a/interfaces/OCaml/ppl_ocaml_common_inlines.hh b/interfaces/OCaml/ppl_ocaml_common_inlines.hh
new file mode 100644
index 0000000..ddfd0b5
--- /dev/null
+++ b/interfaces/OCaml/ppl_ocaml_common_inlines.hh
@@ -0,0 +1,82 @@
+/* Domain-independent part of the OCaml interface: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_ocaml_common_inlines_hh
+#define PPL_ppl_ocaml_common_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace OCaml {
+
+template <typename U_Int>
+U_Int
+value_to_unsigned(value v) {
+ // FIXME: check the following at compile time.
+ assert(std::numeric_limits<U_Int>::is_integer
+ && !std::numeric_limits<U_Int>::is_signed);
+ if (!Is_long(v)) {
+ const char* what = "PPL OCaml interface invalid argument error:\n"
+ "argument is not an integer (expecting a non-negative integer).";
+ throw std::invalid_argument(what);
+ }
+ intnat vv = Long_val(v);
+ if (vv < 0) {
+ const char* what = "PPL OCaml interface invalid argument error:\n"
+ "argument is negative (expecting a non-negative integer).";
+ throw std::invalid_argument(what);
+ }
+ const uintnat u_max = std::numeric_limits<U_Int>::max();
+ if (static_cast<uintnat>(vv) > u_max) {
+ const char* what = "PPL OCaml interface invalid argument:\n"
+ "argument value is too big (expecting a smaller non-negative integer).";
+ throw std::invalid_argument(what);
+ }
+ return static_cast<U_Int>(vv);
+}
+
+inline dimension_type
+value_to_ppl_dimension(value v) {
+ return value_to_unsigned<dimension_type>(v);
+}
+
+inline value
+ppl_dimension_to_value(dimension_type dim) {
+ // FIXME: what if this assertion fails?
+ assert(static_cast<uintnat>(dim) <= static_cast<uintnat>(Max_long));
+ return Val_long(dim);
+}
+
+inline Variable
+build_ppl_Variable(value caml_var) {
+ return Variable(value_to_ppl_dimension(caml_var));
+}
+
+} // namespace OCaml
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_ppl_ocaml_common_inlines_hh)
diff --git a/interfaces/OCaml/ppl_ocaml_globals.ml b/interfaces/OCaml/ppl_ocaml_globals.ml
index 11e1d8b..1dd95b5 100644
--- a/interfaces/OCaml/ppl_ocaml_globals.ml
+++ b/interfaces/OCaml/ppl_ocaml_globals.ml
@@ -1,6 +1,6 @@
(* OCaml interface: domain-independent functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/OCaml/ppl_ocaml_globals.mli b/interfaces/OCaml/ppl_ocaml_globals.mli
index 427e28b..f387e41 100644
--- a/interfaces/OCaml/ppl_ocaml_globals.mli
+++ b/interfaces/OCaml/ppl_ocaml_globals.mli
@@ -1,6 +1,6 @@
(* OCaml interface: module inteface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/OCaml/tests/Makefile.am b/interfaces/OCaml/tests/Makefile.am
index 3f23f07..20e0034 100644
--- a/interfaces/OCaml/tests/Makefile.am
+++ b/interfaces/OCaml/tests/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -114,7 +114,7 @@ test1$(EXEEXT): test1.cmo ../ppl_ocaml.cma
$(OCAMLC_ENV) $(OCAMLC) -o $@ \
-cc "$(CXX)" $(OCAMLC_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLC_LINK_FLAGS) \
- ppl_ocaml.cma $<
+ ppl_ocaml.cma test1.cmo
test1_opt_SOURCES = test1.ml
@@ -122,7 +122,7 @@ test1_opt$(EXEEXT): test1.cmx ../ppl_ocaml.cmxa
$(OCAMLOPT_ENV) $(OCAMLOPT) -o $@ \
-cc "$(CXX)" $(OCAMLOPT_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLOPT_LINK_FLAGS) \
- ppl_ocaml.cmxa $<
+ ppl_ocaml.cmxa test1.cmx
nodist_ppl_ocaml_generated_test_SOURCES = ppl_ocaml_generated_test.ml
@@ -140,14 +140,14 @@ ppl_ocaml_generated_test.cmo ../ppl_ocaml.cma
$(OCAMLC_ENV) $(OCAMLC) -o $@ \
-cc "$(CXX)" $(OCAMLC_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLC_LINK_FLAGS) \
- ppl_ocaml.cma $<
+ ppl_ocaml.cma ppl_ocaml_generated_test.cmo
ppl_ocaml_generated_test_opt$(EXEEXT): \
ppl_ocaml_generated_test.cmx ../ppl_ocaml.cmxa
$(OCAMLOPT_ENV) $(OCAMLOPT) -o $@ \
-cc "$(CXX)" $(OCAMLOPT_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLOPT_LINK_FLAGS) \
- ppl_ocaml.cmxa $<
+ ppl_ocaml.cmxa ppl_ocaml_generated_test.cmx
MOSTLYCLEANFILES = \
test1.cmi \
diff --git a/interfaces/OCaml/tests/Makefile.in b/interfaces/OCaml/tests/Makefile.in
index 87d65f7..e45fe4c 100644
--- a/interfaces/OCaml/tests/Makefile.in
+++ b/interfaces/OCaml/tests/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,8 @@ host_triplet = @host@
TESTS = $(am__EXEEXT_1) $(am__EXEEXT_2)
check_PROGRAMS = $(am__EXEEXT_3)
subdir = interfaces/OCaml/tests
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -104,6 +121,7 @@ ppl_ocaml_generated_test_LDADD = $(LDADD)
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
nodist_ppl_ocaml_generated_test_opt_OBJECTS =
ppl_ocaml_generated_test_opt_OBJECTS = \
$(nodist_ppl_ocaml_generated_test_opt_OBJECTS)
@@ -114,6 +132,18 @@ test1_LDADD = $(LDADD)
am_test1_opt_OBJECTS =
test1_opt_OBJECTS = $(am_test1_opt_OBJECTS)
test1_opt_LDADD = $(LDADD)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
@@ -123,26 +153,29 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(nodist_ppl_ocaml_generated_test_SOURCES) \
$(nodist_ppl_ocaml_generated_test_opt_SOURCES) \
$(test1_SOURCES) $(test1_opt_SOURCES)
DIST_SOURCES = $(test1_SOURCES) $(test1_opt_SOURCES)
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -468,6 +501,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
check-TESTS: $(TESTS)
@failed=0; all=0; xfail=0; xpass=0; skip=0; \
@@ -479,7 +514,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -724,13 +759,13 @@ test1$(EXEEXT): test1.cmo ../ppl_ocaml.cma
$(OCAMLC_ENV) $(OCAMLC) -o $@ \
-cc "$(CXX)" $(OCAMLC_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLC_LINK_FLAGS) \
- ppl_ocaml.cma $<
+ ppl_ocaml.cma test1.cmo
test1_opt$(EXEEXT): test1.cmx ../ppl_ocaml.cmxa
$(OCAMLOPT_ENV) $(OCAMLOPT) -o $@ \
-cc "$(CXX)" $(OCAMLOPT_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLOPT_LINK_FLAGS) \
- ppl_ocaml.cmxa $<
+ ppl_ocaml.cmxa test1.cmx
ppl_ocaml_generated_test.ml: $(interface_generator_dependencies)
$(M4) --prefix-builtin -I../.. \
@@ -743,14 +778,14 @@ ppl_ocaml_generated_test.cmo ../ppl_ocaml.cma
$(OCAMLC_ENV) $(OCAMLC) -o $@ \
-cc "$(CXX)" $(OCAMLC_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLC_LINK_FLAGS) \
- ppl_ocaml.cma $<
+ ppl_ocaml.cma ppl_ocaml_generated_test.cmo
ppl_ocaml_generated_test_opt$(EXEEXT): \
ppl_ocaml_generated_test.cmx ../ppl_ocaml.cmxa
$(OCAMLOPT_ENV) $(OCAMLOPT) -o $@ \
-cc "$(CXX)" $(OCAMLOPT_COMPILE_FLAGS) \
$(BUILT_PPL_FLAGS) $(OCAMLOPT_LINK_FLAGS) \
- ppl_ocaml.cmxa $<
+ ppl_ocaml.cmxa ppl_ocaml_generated_test.cmx
../ppl_ocaml.cma:
$(MAKE) $(AM_MAKEFLAGS) -C .. ppl_ocaml.cma
diff --git a/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml.m4 b/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml.m4
index ac6213c..74cf925 100644
--- a/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml.m4
+++ b/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml.m4
@@ -1,7 +1,7 @@
m4_define(`dnl', `m4_dnl')`'dnl
m4_divert(-1)
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml_code.m4 b/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml_code.m4
index 6670594..56b4280 100644
--- a/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml_code.m4
+++ b/interfaces/OCaml/tests/ppl_interface_generator_ocaml_test_ml_code.m4
@@ -1,5 +1,5 @@
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/OCaml/tests/ppl_ocaml_tests_common b/interfaces/OCaml/tests/ppl_ocaml_tests_common
index d5e98cc..01efb26 100644
--- a/interfaces/OCaml/tests/ppl_ocaml_tests_common
+++ b/interfaces/OCaml/tests/ppl_ocaml_tests_common
@@ -1,6 +1,6 @@
(* Common part of the OCaml generated tests. -*- Tuareg -*-
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/OCaml/tests/test1.ml b/interfaces/OCaml/tests/test1.ml
index 42ed551..184b4f1 100644
--- a/interfaces/OCaml/tests/test1.ml
+++ b/interfaces/OCaml/tests/test1.ml
@@ -1,6 +1,6 @@
(* Simple program testing the PPL OCaml interface on a few random things.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/Ciao/Makefile.am b/interfaces/Prolog/Ciao/Makefile.am
index bb60f1b..b228713 100644
--- a/interfaces/Prolog/Ciao/Makefile.am
+++ b/interfaces/Prolog/Ciao/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Prolog/Ciao/Makefile.in b/interfaces/Prolog/Ciao/Makefile.in
index 990bc06..6e6ac93 100644
--- a/interfaces/Prolog/Ciao/Makefile.in
+++ b/interfaces/Prolog/Ciao/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Prolog/Ciao
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -131,11 +148,24 @@ libppl_ciao_la_OBJECTS = $(am_libppl_ciao_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_ciao_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX \
$(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=link $(CXXLD) \
$(AM_CXXFLAGS) $(CXXFLAGS) $(libppl_ciao_la_LDFLAGS) \
$(LDFLAGS) -o $@
@ENABLE_SHARED_TRUE at am_libppl_ciao_la_rpath = -rpath $(pkglibdir)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -148,17 +178,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -167,20 +196,24 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_ciao_la_SOURCES) $(nodist_libppl_ciao_la_SOURCES) \
$(nodist_EXTRA_libppl_ciao_la_SOURCES)
DIST_SOURCES = $(am__libppl_ciao_la_SOURCES_DIST)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(pkgdata_DATA)
ETAGS = etags
CTAGS = ctags
@@ -573,7 +606,6 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)"
@list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -581,6 +613,8 @@ install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkglibdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \
}
@@ -596,12 +630,14 @@ uninstall-pkglibLTLIBRARIES:
clean-pkglibLTLIBRARIES:
-test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES)
- @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(pkglib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_ciao.la: $(libppl_ciao_la_OBJECTS) $(libppl_ciao_la_DEPENDENCIES) $(EXTRA_libppl_ciao_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_ciao_la_LINK) $(am_libppl_ciao_la_rpath) $(libppl_ciao_la_OBJECTS) $(libppl_ciao_la_LIBADD) $(LIBS)
@@ -1249,8 +1285,11 @@ clean-libtool:
-rm -rf .libs _libs
install-pkgdataDATA: $(pkgdata_DATA)
@$(NORMAL_INSTALL)
- test -z "$(pkgdatadir)" || $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)"
@list='$(pkgdata_DATA)'; test -n "$(pkgdatadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkgdatadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1315,6 +1354,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1463,8 +1516,8 @@ uninstall-am: uninstall-pkgdataDATA uninstall-pkglibLTLIBRARIES
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-am check-local clean \
- clean-generic clean-libtool clean-pkglibLTLIBRARIES ctags \
- distclean distclean-compile distclean-generic \
+ clean-generic clean-libtool clean-pkglibLTLIBRARIES cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/interfaces/Prolog/Ciao/README.ciao b/interfaces/Prolog/Ciao/README.ciao
index 9ed8610..5814d90 100644
--- a/interfaces/Prolog/Ciao/README.ciao
+++ b/interfaces/Prolog/Ciao/README.ciao
@@ -1,5 +1,5 @@
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is free software; as a special exception the author gives
# unlimited permission to copy and/or distribute it, with or without
diff --git a/interfaces/Prolog/Ciao/ciao_cfli.hh b/interfaces/Prolog/Ciao/ciao_cfli.hh
index 9cf3d39..d9b48cb 100644
--- a/interfaces/Prolog/Ciao/ciao_cfli.hh
+++ b/interfaces/Prolog/Ciao/ciao_cfli.hh
@@ -1,6 +1,6 @@
/* Ciao Prolog Common Foreign Language Interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -121,7 +121,7 @@ Prolog_atom_from_string(const char* s) {
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1) {
+ Prolog_term_ref a1) {
Prolog_term_ref args[1];
args[0] = a1;
t = ciao_structure_a(f, 1, args);
@@ -134,7 +134,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2) {
+ Prolog_term_ref a1, Prolog_term_ref a2) {
Prolog_term_ref args[2];
args[0] = a1;
args[1] = a2;
@@ -148,8 +148,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3) {
Prolog_term_ref args[3];
args[0] = a1;
args[1] = a2;
@@ -164,8 +164,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4) {
Prolog_term_ref args[4];
args[0] = a1;
args[1] = a2;
@@ -180,7 +180,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_cons(Prolog_term_ref& c,
- Prolog_term_ref h, Prolog_term_ref t) {
+ Prolog_term_ref h, Prolog_term_ref t) {
c = ciao_list(h, t);
return 1;
}
diff --git a/interfaces/Prolog/Ciao/ciao_clpq.pl b/interfaces/Prolog/Ciao/ciao_clpq.pl
index 1ed9b61..3b4f15f 100644
--- a/interfaces/Prolog/Ciao/ciao_clpq.pl
+++ b/interfaces/Prolog/Ciao/ciao_clpq.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the toy PPL/CIAO-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -28,21 +28,22 @@ site: http://bugseng.com/products/ppl/ . */
:- use_module(library(prolog_sys)).
:- use_module(library(read)).
:- use_module(library(write)).
-:- use_module(ppl_ciao, [
- ppl_initialize/0,
- ppl_finalize/0,
- ppl_new_C_Polyhedron_from_space_dimension/3,
- ppl_new_NNC_Polyhedron_from_space_dimension/3,
- ppl_new_C_Polyhedron_from_C_Polyhedron/2,
- ppl_new_C_Polyhedron_from_NNC_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_C_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
- ppl_delete_Polyhedron/1,
- ppl_Polyhedron_space_dimension/2,
- ppl_Polyhedron_get_constraints/2,
- ppl_Polyhedron_add_space_dimensions_and_embed/2,
- ppl_Polyhedron_remove_higher_space_dimensions/2
-]).
+:- use_module(ppl_ciao,
+ [
+ ppl_initialize/0,
+ ppl_finalize/0,
+ ppl_new_C_Polyhedron_from_space_dimension/3,
+ ppl_new_NNC_Polyhedron_from_space_dimension/3,
+ ppl_new_C_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_C_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_delete_Polyhedron/1,
+ ppl_Polyhedron_space_dimension/2,
+ ppl_Polyhedron_get_constraints/2,
+ ppl_Polyhedron_add_space_dimensions_and_embed/2,
+ ppl_Polyhedron_remove_higher_space_dimensions/2
+ ]).
:- set_prolog_flag(multi_arity_warnings, off).
diff --git a/interfaces/Prolog/Ciao/ciao_clpq2.pl b/interfaces/Prolog/Ciao/ciao_clpq2.pl
index 3f8a646..a3cae5a 100644
--- a/interfaces/Prolog/Ciao/ciao_clpq2.pl
+++ b/interfaces/Prolog/Ciao/ciao_clpq2.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the 2nd toy PPL/CIAO-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -31,18 +31,18 @@ site: http://bugseng.com/products/ppl/ . */
:- use_module(library(sort)).
:- use_module(library(write)).
:- use_module(ppl_ciao, [
- ppl_initialize/0,
- ppl_finalize/0,
- ppl_new_C_Polyhedron_from_space_dimension/3,
- ppl_new_NNC_Polyhedron_from_space_dimension/3,
- ppl_new_C_Polyhedron_from_C_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
- ppl_delete_Polyhedron/1,
- ppl_Polyhedron_space_dimension/2,
- ppl_Polyhedron_get_constraints/2,
- ppl_Polyhedron_add_space_dimensions_and_embed/2,
- ppl_Polyhedron_remove_space_dimensions/2,
- ppl_Polyhedron_remove_higher_space_dimensions/2
+ ppl_initialize/0,
+ ppl_finalize/0,
+ ppl_new_C_Polyhedron_from_space_dimension/3,
+ ppl_new_NNC_Polyhedron_from_space_dimension/3,
+ ppl_new_C_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_delete_Polyhedron/1,
+ ppl_Polyhedron_space_dimension/2,
+ ppl_Polyhedron_get_constraints/2,
+ ppl_Polyhedron_add_space_dimensions_and_embed/2,
+ ppl_Polyhedron_remove_space_dimensions/2,
+ ppl_Polyhedron_remove_higher_space_dimensions/2
]).
:- set_prolog_flag(multi_arity_warnings, off).
diff --git a/interfaces/Prolog/Ciao/ciao_efli.cc b/interfaces/Prolog/Ciao/ciao_efli.cc
index 5282cf1..437edf0 100644
--- a/interfaces/Prolog/Ciao/ciao_efli.cc
+++ b/interfaces/Prolog/Ciao/ciao_efli.cc
@@ -1,6 +1,6 @@
/* Ciao Prolog extended foreign language interface: definitions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ciao_efli.hh"
-#include "ppl_prolog_common.defs.hh"
+#include "ppl_prolog_common_defs.hh"
namespace Parma_Polyhedra_Library {
diff --git a/interfaces/Prolog/Ciao/ciao_efli.hh b/interfaces/Prolog/Ciao/ciao_efli.hh
index bc61f25..267796e 100644
--- a/interfaces/Prolog/Ciao/ciao_efli.hh
+++ b/interfaces/Prolog/Ciao/ciao_efli.hh
@@ -1,6 +1,6 @@
/* Ciao Prolog extended foreign language interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/Ciao/ciao_pl_check.pl b/interfaces/Prolog/Ciao/ciao_pl_check.pl
index a6d7bae..5590465 100644
--- a/interfaces/Prolog/Ciao/ciao_pl_check.pl
+++ b/interfaces/Prolog/Ciao/ciao_pl_check.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the toy PPL/CIAO-Prolog predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -29,104 +29,104 @@ site: http://bugseng.com/products/ppl/ . */
:- use_module(library(read)).
:- use_module(library(write)).
:- use_module(ppl_ciao, [
- ppl_version_major/1,
- ppl_version_minor/1,
- ppl_version_revision/1,
- ppl_version_beta/1,
- ppl_version/1,
- ppl_banner/1,
- ppl_max_space_dimension/1,
- ppl_Coefficient_is_bounded/0,
- ppl_Coefficient_max/1,
- ppl_Coefficient_min/1,
- ppl_initialize/0,
- ppl_finalize/0,
- ppl_set_timeout_exception_atom/1,
- ppl_timeout_exception_atom/1,
- ppl_set_timeout/1,
- ppl_reset_timeout/0,
+ ppl_version_major/1,
+ ppl_version_minor/1,
+ ppl_version_revision/1,
+ ppl_version_beta/1,
+ ppl_version/1,
+ ppl_banner/1,
+ ppl_max_space_dimension/1,
+ ppl_Coefficient_is_bounded/0,
+ ppl_Coefficient_max/1,
+ ppl_Coefficient_min/1,
+ ppl_initialize/0,
+ ppl_finalize/0,
+ ppl_set_timeout_exception_atom/1,
+ ppl_timeout_exception_atom/1,
+ ppl_set_timeout/1,
+ ppl_reset_timeout/0,
ppl_set_rounding_for_PPL/0,
ppl_restore_pre_PPL_rounding/0,
- ppl_new_C_Polyhedron_from_space_dimension/3,
- ppl_new_NNC_Polyhedron_from_space_dimension/3,
- ppl_new_C_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_C_Polyhedron_from_space_dimension/3,
+ ppl_new_NNC_Polyhedron_from_space_dimension/3,
+ ppl_new_C_Polyhedron_from_C_Polyhedron/2,
ppl_new_C_Polyhedron_from_C_Polyhedron_with_complexity/3,
ppl_new_C_Polyhedron_from_NNC_Polyhedron/2,
ppl_new_C_Polyhedron_from_NNC_Polyhedron_with_complexity/3,
- ppl_new_NNC_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_C_Polyhedron/2,
ppl_new_NNC_Polyhedron_from_C_Polyhedron_with_complexity/3,
- ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
ppl_new_NNC_Polyhedron_from_NNC_Polyhedron_with_complexity/3,
- ppl_new_C_Polyhedron_from_constraints/2,
- ppl_new_NNC_Polyhedron_from_constraints/2,
- ppl_new_C_Polyhedron_from_generators/2,
- ppl_new_NNC_Polyhedron_from_generators/2,
- ppl_Polyhedron_swap/2,
- ppl_delete_Polyhedron/1,
- ppl_Polyhedron_space_dimension/2,
- ppl_Polyhedron_affine_dimension/2,
- ppl_Polyhedron_get_constraints/2,
- ppl_Polyhedron_get_minimized_constraints/2,
- ppl_Polyhedron_get_generators/2,
- ppl_Polyhedron_get_minimized_generators/2,
- ppl_Polyhedron_relation_with_constraint/3,
- ppl_Polyhedron_relation_with_generator/3,
- ppl_Polyhedron_is_empty/1,
- ppl_Polyhedron_is_universe/1,
- ppl_Polyhedron_is_bounded/1,
- ppl_Polyhedron_contains_integer_point/1,
- ppl_Polyhedron_bounds_from_above/2,
- ppl_Polyhedron_bounds_from_below/2,
- ppl_Polyhedron_maximize/5,
- ppl_Polyhedron_maximize_with_point/6,
- ppl_Polyhedron_minimize/5,
- ppl_Polyhedron_minimize_with_point/6,
+ ppl_new_C_Polyhedron_from_constraints/2,
+ ppl_new_NNC_Polyhedron_from_constraints/2,
+ ppl_new_C_Polyhedron_from_generators/2,
+ ppl_new_NNC_Polyhedron_from_generators/2,
+ ppl_Polyhedron_swap/2,
+ ppl_delete_Polyhedron/1,
+ ppl_Polyhedron_space_dimension/2,
+ ppl_Polyhedron_affine_dimension/2,
+ ppl_Polyhedron_get_constraints/2,
+ ppl_Polyhedron_get_minimized_constraints/2,
+ ppl_Polyhedron_get_generators/2,
+ ppl_Polyhedron_get_minimized_generators/2,
+ ppl_Polyhedron_relation_with_constraint/3,
+ ppl_Polyhedron_relation_with_generator/3,
+ ppl_Polyhedron_is_empty/1,
+ ppl_Polyhedron_is_universe/1,
+ ppl_Polyhedron_is_bounded/1,
+ ppl_Polyhedron_contains_integer_point/1,
+ ppl_Polyhedron_bounds_from_above/2,
+ ppl_Polyhedron_bounds_from_below/2,
+ ppl_Polyhedron_maximize/5,
+ ppl_Polyhedron_maximize_with_point/6,
+ ppl_Polyhedron_minimize/5,
+ ppl_Polyhedron_minimize_with_point/6,
ppl_Polyhedron_is_topologically_closed/1,
- ppl_Polyhedron_contains_Polyhedron/2,
- ppl_Polyhedron_strictly_contains_Polyhedron/2,
- ppl_Polyhedron_is_disjoint_from_Polyhedron/2,
+ ppl_Polyhedron_contains_Polyhedron/2,
+ ppl_Polyhedron_strictly_contains_Polyhedron/2,
+ ppl_Polyhedron_is_disjoint_from_Polyhedron/2,
ppl_Polyhedron_equals_Polyhedron/2,
- ppl_Polyhedron_OK/1,
- ppl_Polyhedron_add_constraint/2,
- ppl_Polyhedron_add_generator/2,
- ppl_Polyhedron_add_constraints/2,
- ppl_Polyhedron_add_generators/2,
- ppl_Polyhedron_intersection_assign/2,
- ppl_Polyhedron_poly_hull_assign/2,
- ppl_Polyhedron_poly_difference_assign/2,
- ppl_Polyhedron_affine_image/4,
- ppl_Polyhedron_affine_preimage/4,
- ppl_Polyhedron_bounded_affine_image/5,
- ppl_Polyhedron_bounded_affine_preimage/5,
- ppl_Polyhedron_generalized_affine_image/5,
- ppl_Polyhedron_generalized_affine_preimage/5,
- ppl_Polyhedron_generalized_affine_image_lhs_rhs/4,
- ppl_Polyhedron_generalized_affine_preimage_lhs_rhs/4,
- ppl_Polyhedron_time_elapse_assign/2,
+ ppl_Polyhedron_OK/1,
+ ppl_Polyhedron_add_constraint/2,
+ ppl_Polyhedron_add_generator/2,
+ ppl_Polyhedron_add_constraints/2,
+ ppl_Polyhedron_add_generators/2,
+ ppl_Polyhedron_intersection_assign/2,
+ ppl_Polyhedron_poly_hull_assign/2,
+ ppl_Polyhedron_poly_difference_assign/2,
+ ppl_Polyhedron_affine_image/4,
+ ppl_Polyhedron_affine_preimage/4,
+ ppl_Polyhedron_bounded_affine_image/5,
+ ppl_Polyhedron_bounded_affine_preimage/5,
+ ppl_Polyhedron_generalized_affine_image/5,
+ ppl_Polyhedron_generalized_affine_preimage/5,
+ ppl_Polyhedron_generalized_affine_image_lhs_rhs/4,
+ ppl_Polyhedron_generalized_affine_preimage_lhs_rhs/4,
+ ppl_Polyhedron_time_elapse_assign/2,
ppl_Polyhedron_topological_closure_assign/1,
ppl_Polyhedron_constrains/2,
ppl_Polyhedron_unconstrain_space_dimension/2,
ppl_Polyhedron_unconstrain_space_dimensions/2,
- ppl_Polyhedron_BHRZ03_widening_assign_with_tokens/4,
- ppl_Polyhedron_BHRZ03_widening_assign/2,
- ppl_Polyhedron_limited_BHRZ03_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_limited_BHRZ03_extrapolation_assign/3,
- ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign/3,
- ppl_Polyhedron_H79_widening_assign_with_tokens/4,
- ppl_Polyhedron_H79_widening_assign/2,
- ppl_Polyhedron_limited_H79_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_limited_H79_extrapolation_assign/3,
- ppl_Polyhedron_bounded_H79_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_bounded_H79_extrapolation_assign/3,
- ppl_Polyhedron_add_space_dimensions_and_project/2,
- ppl_Polyhedron_add_space_dimensions_and_embed/2,
- ppl_Polyhedron_concatenate_assign/2,
- ppl_Polyhedron_remove_space_dimensions/2,
- ppl_Polyhedron_remove_higher_space_dimensions/2,
- ppl_Polyhedron_expand_space_dimension/3,
- ppl_Polyhedron_fold_space_dimensions/3,
- ppl_Polyhedron_map_space_dimensions/2,
+ ppl_Polyhedron_BHRZ03_widening_assign_with_tokens/4,
+ ppl_Polyhedron_BHRZ03_widening_assign/2,
+ ppl_Polyhedron_limited_BHRZ03_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_limited_BHRZ03_extrapolation_assign/3,
+ ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign/3,
+ ppl_Polyhedron_H79_widening_assign_with_tokens/4,
+ ppl_Polyhedron_H79_widening_assign/2,
+ ppl_Polyhedron_limited_H79_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_limited_H79_extrapolation_assign/3,
+ ppl_Polyhedron_bounded_H79_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_bounded_H79_extrapolation_assign/3,
+ ppl_Polyhedron_add_space_dimensions_and_project/2,
+ ppl_Polyhedron_add_space_dimensions_and_embed/2,
+ ppl_Polyhedron_concatenate_assign/2,
+ ppl_Polyhedron_remove_space_dimensions/2,
+ ppl_Polyhedron_remove_higher_space_dimensions/2,
+ ppl_Polyhedron_expand_space_dimension/3,
+ ppl_Polyhedron_fold_space_dimensions/3,
+ ppl_Polyhedron_map_space_dimensions/2,
ppl_new_MIP_Problem_from_space_dimension/2,
ppl_new_MIP_Problem/5,
ppl_new_MIP_Problem_from_MIP_Problem/2,
diff --git a/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_pl.m4 b/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_pl.m4
index f52cdb5..33368bc 100644
--- a/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_pl.m4
+++ b/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_pl.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_ciao.pl.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_prolog_generated_test_pl.m4 b/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_prolog_generated_test_pl.m4
index 89a85f9..ce52953 100644
--- a/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_prolog_generated_test_pl.m4
+++ b/interfaces/Prolog/Ciao/ppl_interface_generator_ciao_prolog_generated_test_pl.m4
@@ -5,7 +5,7 @@ dnl This m4 file defines macros needed for generating
dnl the Ciao dependent code for ciao_prolog_generated_test.pl.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/Ciao/ppl_prolog_sysdep.hh b/interfaces/Prolog/Ciao/ppl_prolog_sysdep.hh
index 558b295..a6b53a2 100644
--- a/interfaces/Prolog/Ciao/ppl_prolog_sysdep.hh
+++ b/interfaces/Prolog/Ciao/ppl_prolog_sysdep.hh
@@ -1,6 +1,6 @@
/* System-dependent part of the Prolog interfaces: stub for Ciao Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/GNU/Makefile.am b/interfaces/Prolog/GNU/Makefile.am
index ad51958..41d09d4 100644
--- a/interfaces/Prolog/GNU/Makefile.am
+++ b/interfaces/Prolog/GNU/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Prolog/GNU/Makefile.in b/interfaces/Prolog/GNU/Makefile.in
index dab27f5..1e485a7 100644
--- a/interfaces/Prolog/GNU/Makefile.in
+++ b/interfaces/Prolog/GNU/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -41,6 +40,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -61,7 +77,8 @@ build_triplet = @build@
host_triplet = @host@
bin_PROGRAMS = ppl_gprolog$(EXEEXT)
subdir = interfaces/Prolog/GNU
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -131,6 +148,7 @@ libppl_gprolog_la_OBJECTS = $(am_libppl_gprolog_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_gprolog_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX \
$(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=link $(CXXLD) \
$(AM_CXXFLAGS) $(CXXFLAGS) $(libppl_gprolog_la_LDFLAGS) \
@@ -139,6 +157,18 @@ PROGRAMS = $(bin_PROGRAMS)
am_ppl_gprolog_OBJECTS =
ppl_gprolog_OBJECTS = $(am_ppl_gprolog_OBJECTS)
ppl_gprolog_LDADD = $(LDADD)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -151,17 +181,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -170,22 +199,26 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_gprolog_la_SOURCES) \
$(nodist_libppl_gprolog_la_SOURCES) \
$(nodist_EXTRA_libppl_gprolog_la_SOURCES) \
$(ppl_gprolog_SOURCES)
DIST_SOURCES = $(libppl_gprolog_la_SOURCES) $(ppl_gprolog_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(pkgdata_DATA)
ETAGS = etags
CTAGS = ctags
@@ -586,7 +619,6 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)"
@list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -594,6 +626,8 @@ install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkglibdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \
}
@@ -609,18 +643,23 @@ uninstall-pkglibLTLIBRARIES:
clean-pkglibLTLIBRARIES:
-test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES)
- @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(pkglib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_gprolog.la: $(libppl_gprolog_la_OBJECTS) $(libppl_gprolog_la_DEPENDENCIES) $(EXTRA_libppl_gprolog_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_gprolog_la_LINK) -rpath $(pkglibdir) $(libppl_gprolog_la_OBJECTS) $(libppl_gprolog_la_LIBADD) $(LIBS)
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -1305,8 +1344,11 @@ clean-libtool:
-rm -rf .libs _libs
install-pkgdataDATA: $(pkgdata_DATA)
@$(NORMAL_INSTALL)
- test -z "$(pkgdatadir)" || $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)"
@list='$(pkgdata_DATA)'; test -n "$(pkgdatadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkgdatadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1371,6 +1413,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1520,19 +1576,19 @@ uninstall-am: uninstall-binPROGRAMS uninstall-pkgdataDATA \
.PHONY: CTAGS GTAGS all all-am check check-am check-local clean \
clean-binPROGRAMS clean-generic clean-libtool \
- clean-pkglibLTLIBRARIES ctags distclean distclean-compile \
- distclean-generic distclean-libtool distclean-tags distdir dvi \
- dvi-am html html-am info info-am install install-am \
- install-binPROGRAMS install-data install-data-am install-dvi \
- install-dvi-am install-exec install-exec-am install-html \
- install-html-am install-info install-info-am install-man \
- install-pdf install-pdf-am install-pkgdataDATA \
- install-pkglibLTLIBRARIES install-ps install-ps-am \
- install-strip installcheck installcheck-am installdirs \
- maintainer-clean maintainer-clean-generic mostlyclean \
- mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
- pdf pdf-am ps ps-am tags uninstall uninstall-am \
- uninstall-binPROGRAMS uninstall-pkgdataDATA \
+ clean-pkglibLTLIBRARIES cscopelist ctags distclean \
+ distclean-compile distclean-generic distclean-libtool \
+ distclean-tags distdir dvi dvi-am html html-am info info-am \
+ install install-am install-binPROGRAMS install-data \
+ install-data-am install-dvi install-dvi-am install-exec \
+ install-exec-am install-html install-html-am install-info \
+ install-info-am install-man install-pdf install-pdf-am \
+ install-pkgdataDATA install-pkglibLTLIBRARIES install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs maintainer-clean maintainer-clean-generic \
+ mostlyclean mostlyclean-compile mostlyclean-generic \
+ mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \
+ uninstall-am uninstall-binPROGRAMS uninstall-pkgdataDATA \
uninstall-pkglibLTLIBRARIES
diff --git a/interfaces/Prolog/GNU/README.gprolog b/interfaces/Prolog/GNU/README.gprolog
index 5ce3af5..96e9ff4 100644
--- a/interfaces/Prolog/GNU/README.gprolog
+++ b/interfaces/Prolog/GNU/README.gprolog
@@ -1,5 +1,5 @@
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is free software; as a special exception the author gives
# unlimited permission to copy and/or distribute it, with or without
diff --git a/interfaces/Prolog/GNU/gnu_pl_check.pl b/interfaces/Prolog/GNU/gnu_pl_check.pl
index 95ed0a6..f38db5e 100644
--- a/interfaces/Prolog/GNU/gnu_pl_check.pl
+++ b/interfaces/Prolog/GNU/gnu_pl_check.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the PPL/GNU-Prolog predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -28,9 +28,9 @@ main :-
open(obtained_pchk, write, Stream),
set_output(Stream),
(check_all ->
- write('OK')
+ write('OK')
;
- write('FAILURE')
+ write('FAILURE')
),
nl,
close(Stream),
diff --git a/interfaces/Prolog/GNU/gnu_prolog_generated_test.pl b/interfaces/Prolog/GNU/gnu_prolog_generated_test.pl
index 54d65d0..b4504c7 100644
--- a/interfaces/Prolog/GNU/gnu_prolog_generated_test.pl
+++ b/interfaces/Prolog/GNU/gnu_prolog_generated_test.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the PPL/GNU-Prolog predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -28,9 +28,9 @@ main :-
open(obtained_pgt, write, Stream),
set_output(Stream),
(check_all ->
- write('OK')
+ write('OK')
;
- write('FAILURE')
+ write('FAILURE')
),
nl,
close(Stream),
diff --git a/interfaces/Prolog/GNU/gp_clpq.pl b/interfaces/Prolog/GNU/gp_clpq.pl
index 2c93c01..bd863aa 100644
--- a/interfaces/Prolog/GNU/gp_clpq.pl
+++ b/interfaces/Prolog/GNU/gp_clpq.pl
@@ -1,6 +1,6 @@
/* Main program for the toy PPL/GNU-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/GNU/gprolog_cfli.hh b/interfaces/Prolog/GNU/gprolog_cfli.hh
index 975acd6..451d201 100644
--- a/interfaces/Prolog/GNU/gprolog_cfli.hh
+++ b/interfaces/Prolog/GNU/gprolog_cfli.hh
@@ -1,6 +1,6 @@
/* GNU Prolog Common Foreign Language Interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -184,7 +184,7 @@ Prolog_atom_from_string(const char* s) {
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1) {
+ Prolog_term_ref a1) {
Prolog_term_ref args[1];
args[0] = a1;
t = Mk_Compound(f, 1, args);
@@ -197,7 +197,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2) {
+ Prolog_term_ref a1, Prolog_term_ref a2) {
Prolog_term_ref args[2];
args[0] = a1;
args[1] = a2;
@@ -211,8 +211,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3) {
Prolog_term_ref args[3];
args[0] = a1;
args[1] = a2;
@@ -227,8 +227,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4) {
Prolog_term_ref args[4];
args[0] = a1;
args[1] = a2;
@@ -243,7 +243,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_cons(Prolog_term_ref& c,
- Prolog_term_ref h, Prolog_term_ref t) {
+ Prolog_term_ref h, Prolog_term_ref t) {
Prolog_term_ref args[2];
args[0] = h;
args[1] = t;
diff --git a/interfaces/Prolog/GNU/gprolog_efli.cc b/interfaces/Prolog/GNU/gprolog_efli.cc
index b2ee0f8..a9bd184 100644
--- a/interfaces/Prolog/GNU/gprolog_efli.cc
+++ b/interfaces/Prolog/GNU/gprolog_efli.cc
@@ -1,6 +1,6 @@
/* GNU Prolog extended foreign language interface: definitions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "gprolog_efli.hh"
-#include "ppl_prolog_common.defs.hh"
+#include "ppl_prolog_common_defs.hh"
namespace Parma_Polyhedra_Library {
diff --git a/interfaces/Prolog/GNU/gprolog_efli.hh b/interfaces/Prolog/GNU/gprolog_efli.hh
index e8c883e..88f8d3c 100644
--- a/interfaces/Prolog/GNU/gprolog_efli.hh
+++ b/interfaces/Prolog/GNU/gprolog_efli.hh
@@ -1,6 +1,6 @@
/* GNU Prolog extended foreign language interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/GNU/ppl_interface_generator_gprolog_pl.m4 b/interfaces/Prolog/GNU/ppl_interface_generator_gprolog_pl.m4
index 7420b0c..34a11bb 100644
--- a/interfaces/Prolog/GNU/ppl_interface_generator_gprolog_pl.m4
+++ b/interfaces/Prolog/GNU/ppl_interface_generator_gprolog_pl.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_gprolog.pl.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/GNU/ppl_prolog_sysdep.hh b/interfaces/Prolog/GNU/ppl_prolog_sysdep.hh
index 7bc2dda..b0e1fe9 100644
--- a/interfaces/Prolog/GNU/ppl_prolog_sysdep.hh
+++ b/interfaces/Prolog/GNU/ppl_prolog_sysdep.hh
@@ -1,6 +1,6 @@
/* System-dependent part of the Prolog interfaces: stub for GNU Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/Makefile.am b/interfaces/Prolog/Makefile.am
index f057fce..9548c15 100644
--- a/interfaces/Prolog/Makefile.am
+++ b/interfaces/Prolog/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -69,8 +69,8 @@ ppl_interface_generator_prolog_dox_code.m4
EXTRA_DIST = \
$(interface_generator_files) \
-ppl_prolog_common.defs.hh \
-ppl_prolog_common.inlines.hh \
+ppl_prolog_common_defs.hh \
+ppl_prolog_common_inlines.hh \
ppl_prolog_common.cc \
Prolog_configured_interface.dox \
$(interface_generator_dox_files) \
diff --git a/interfaces/Prolog/Makefile.in b/interfaces/Prolog/Makefile.in
index 2955e81..47daf5d 100644
--- a/interfaces/Prolog/Makefile.in
+++ b/interfaces/Prolog/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -58,7 +74,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Prolog
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -91,12 +108,18 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -106,6 +129,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(nodist_noinst_DATA)
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
@@ -362,8 +390,8 @@ ppl_interface_generator_prolog_dox_code.m4
EXTRA_DIST = \
$(interface_generator_files) \
-ppl_prolog_common.defs.hh \
-ppl_prolog_common.inlines.hh \
+ppl_prolog_common_defs.hh \
+ppl_prolog_common_inlines.hh \
ppl_prolog_common.cc \
Prolog_configured_interface.dox \
$(interface_generator_dox_files) \
@@ -444,12 +472,12 @@ clean-libtool:
-rm -rf .libs _libs
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -459,7 +487,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -473,37 +505,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -512,6 +513,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -575,6 +580,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -610,13 +629,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -742,22 +758,22 @@ ps-am:
uninstall-am:
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) all check \
- ctags-recursive install install-am install-strip \
- tags-recursive
+ cscopelist-recursive ctags-recursive install install-am \
+ install-strip tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-generic clean-libtool \
- ctags ctags-recursive distclean distclean-generic \
- distclean-libtool distclean-tags distdir dvi dvi-am html \
- html-am info info-am install install-am install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-pdf install-pdf-am \
- install-ps install-ps-am install-strip installcheck \
- installcheck-am installdirs installdirs-am maintainer-clean \
- maintainer-clean-generic mostlyclean mostlyclean-generic \
- mostlyclean-libtool pdf pdf-am ps ps-am tags tags-recursive \
- uninstall uninstall-am
+ cscopelist cscopelist-recursive ctags ctags-recursive \
+ distclean distclean-generic distclean-libtool distclean-tags \
+ distdir dvi dvi-am html html-am info info-am install \
+ install-am install-data install-data-am install-dvi \
+ install-dvi-am install-exec install-exec-am install-html \
+ install-html-am install-info install-info-am install-man \
+ install-pdf install-pdf-am install-ps install-ps-am \
+ install-strip installcheck installcheck-am installdirs \
+ installdirs-am maintainer-clean maintainer-clean-generic \
+ mostlyclean mostlyclean-generic mostlyclean-libtool pdf pdf-am \
+ ps ps-am tags tags-recursive uninstall uninstall-am
Prolog_configured_domains.dox: \
diff --git a/interfaces/Prolog/Prolog_configured_interface.dox b/interfaces/Prolog/Prolog_configured_interface.dox
index 1480f17..87df134 100644
--- a/interfaces/Prolog/Prolog_configured_interface.dox
+++ b/interfaces/Prolog/Prolog_configured_interface.dox
@@ -1,6 +1,6 @@
/* Configuration Dependent Documentation for Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/Prolog_interface.dox b/interfaces/Prolog/Prolog_interface.dox
index 11aeaa4..e2830d2 100644
--- a/interfaces/Prolog/Prolog_interface.dox
+++ b/interfaces/Prolog/Prolog_interface.dox
@@ -1,6 +1,6 @@
/* Configuration Independent Documentation for Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/Prolog_interface_compilation.dox b/interfaces/Prolog/Prolog_interface_compilation.dox
index d8a2dd5..ce3509c 100644
--- a/interfaces/Prolog/Prolog_interface_compilation.dox
+++ b/interfaces/Prolog/Prolog_interface_compilation.dox
@@ -1,5 +1,5 @@
// Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-// Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+// Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
//
// This document describes the Parma Polyhedra Library (PPL).
//
diff --git a/interfaces/Prolog/Prolog_interface_sysdep.dox b/interfaces/Prolog/Prolog_interface_sysdep.dox
index 2472e0a..a565ba7 100644
--- a/interfaces/Prolog/Prolog_interface_sysdep.dox
+++ b/interfaces/Prolog/Prolog_interface_sysdep.dox
@@ -1,6 +1,6 @@
/* System-Dependent Documentation for Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/Prolog_interface_sysindep.dox b/interfaces/Prolog/Prolog_interface_sysindep.dox
index 482525f..0edc71d 100644
--- a/interfaces/Prolog/Prolog_interface_sysindep.dox
+++ b/interfaces/Prolog/Prolog_interface_sysindep.dox
@@ -1,6 +1,6 @@
/* Configuration Independent Documentation for Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -163,56 +163,56 @@ The PPL predicates provided by the Prolog interface are specified below.
The specification uses the following grammar rules:
\code
- Number --> unsigned integer ranging from 0 to an upper bound
- depending on the actual Prolog system.
+ Number --> unsigned integer ranging from 0 to an upper bound
+ depending on the actual Prolog system.
- C_int --> Number | - Number C integer
+ C_int --> Number | - Number C integer
- C_unsigned --> Number C unsigned integer
+ C_unsigned --> Number C unsigned integer
- Coeff --> Number used in linear expressions;
- the upper bound will depend on how
- the PPL has been configured
+ Coeff --> Number used in linear expressions;
+ the upper bound will depend on how
+ the PPL has been configured
Dimension_Type
- --> Number used for the number of affine and
- space dimensions and the names of
- the dimensions;
- the upper bound will depend on
- the maximum number of dimensions
- allowed by the PPL
- (see ppl_max_space_dimensions/1)
+ --> Number used for the number of affine and
+ space dimensions and the names of
+ the dimensions;
+ the upper bound will depend on
+ the maximum number of dimensions
+ allowed by the PPL
+ (see ppl_max_space_dimensions/1)
Boolean --> true | false
- Handle --> Prolog term used to identify a Polyhedron
+ Handle --> Prolog term used to identify a Polyhedron
- Topology --> c | nnc Polyhedral kind;
- c is closed and nnc is NNC
+ Topology --> c | nnc Polyhedral kind;
+ c is closed and nnc is NNC
- VarId --> Dimension_Type variable identifier
+ VarId --> Dimension_Type variable identifier
- PPL_Var --> '$VAR'(VarId) PPL variable
+ PPL_Var --> '$VAR'(VarId) PPL variable
- Lin_Expr --> PPL_Var PPL variable
+ Lin_Expr --> PPL_Var PPL variable
| Coeff
- | Lin_Expr unary plus
- | - Lin_Expr unary minus
- | Lin_Expr + Lin_Expr addition
- | Lin_Expr - Lin_Expr subtraction
- | Coeff * Lin_Expr multiplication
- | Lin_Expr * Coeff multiplication
-
- Relation_Symbol --> = equals
- | =< less than or equal
- | >= greater than or equal
- | < strictly less than
- | > strictly greater than
+ | Lin_Expr unary plus
+ | - Lin_Expr unary minus
+ | Lin_Expr + Lin_Expr addition
+ | Lin_Expr - Lin_Expr subtraction
+ | Coeff * Lin_Expr multiplication
+ | Lin_Expr * Coeff multiplication
+
+ Relation_Symbol --> = equals
+ | =< less than or equal
+ | >= greater than or equal
+ | < strictly less than
+ | > strictly greater than
Constraint --> Lin_Expr Relation_Symbol Lin_Expr
- constraint
+ constraint
- Constraint_System list of constraints
+ Constraint_System list of constraints
--> []
| [Constraint | Constraint_System]
@@ -222,63 +222,63 @@ The specification uses the following grammar rules:
| (Lin_Expr =:= Lin_Expr) / Modulus
congruence with modulo Modulus
- Congruence_System list of congruences
+ Congruence_System list of congruences
--> []
| [Congruence | Congruence_System]
- Generator_Denominator --> Coeff must be non-zero
- | - Coeff
+ Generator_Denominator --> Coeff must be non-zero
+ | - Coeff
- Generator --> point(Lin_Expr) point
+ Generator --> point(Lin_Expr) point
| point(Lin_Expr, Generator_Denominator)
- point
- | closure_point(Lin_Expr) closure point
+ point
+ | closure_point(Lin_Expr) closure point
| closure_point(Lin_Expr, Generator_Denominator)
- closure point
- | ray(Lin_Expr) ray
- | line(Lin_Expr) line
+ closure point
+ | ray(Lin_Expr) ray
+ | line(Lin_Expr) line
- Generator_System list of generators
+ Generator_System list of generators
--> []
- | [Generator | Generator_System]
+ | [Generator | Generator_System]
Grid_Generator
- --> grid_point(Lin_Expr) grid point
+ --> grid_point(Lin_Expr) grid point
| grid_point(Lin_Expr, Generator_Denominator)
- grid point
- | parameter(Lin_Expr) parameter
+ grid point
+ | parameter(Lin_Expr) parameter
| parameter(Lin_Expr, Generator_Denominator)
parameter
| grid_line(Lin_Expr) grid line
- Grid_Generator_System list of grid generators
+ Grid_Generator_System list of grid generators
--> []
- | [Grid_Generator | Grid_Generator_System]
+ | [Grid_Generator | Grid_Generator_System]
Artificial_Parameter --> Lin_Expr / Coeff
Artificial_Parameter_List --> []
- | [Artificial_Parameter | Artificial_Parameter_List]
+ | [Artificial_Parameter | Artificial_Parameter_List]
Atom --> Prolog atom
- Universe_or_Empty PPL object
+ Universe_or_Empty PPL object
--> universe | empty
Poly_Relation --> is_disjoint with a constraint or congruence
- | strictly_intersects with a constraint or congruence
- | is_included with a constraint or congruence
- | saturates with a constraint or congruence
- | subsumes with a (grid) generator
+ | strictly_intersects with a constraint or congruence
+ | is_included with a constraint or congruence
+ | saturates with a constraint or congruence
+ | subsumes with a (grid) generator
Relation_List --> []
- | [Poly_Relation | Relation_List]
+ | [Poly_Relation | Relation_List]
Complexity --> polynomial | simplex | any
Vars_Pair --> PPL_Var - PPL_Var map relation
- P_Func --> [] list of map relations
+ P_Func --> [] list of map relations
| [Vars_Pair | P_Func].
Width --> bits_8 | bits_16 | bits_32 | bits_64 | bits_128
@@ -307,7 +307,7 @@ The specification uses the following grammar rules:
| pivot_row_strategy_first
| pivot_row_strategy_max_column
- Vars_List --> [] list of PPL variables
+ Vars_List --> [] list of PPL variables
| [PPL_Var | Vars_List].
\endcode
diff --git a/interfaces/Prolog/Prolog_interface_sysindep_domains.dox b/interfaces/Prolog/Prolog_interface_sysindep_domains.dox
index a16eb14..a6b488f 100644
--- a/interfaces/Prolog/Prolog_interface_sysindep_domains.dox
+++ b/interfaces/Prolog/Prolog_interface_sysindep_domains.dox
@@ -1,6 +1,6 @@
/* Configuration Independent Documentation for Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SICStus/Makefile.am b/interfaces/Prolog/SICStus/Makefile.am
index 7469919..fe651b2 100644
--- a/interfaces/Prolog/SICStus/Makefile.am
+++ b/interfaces/Prolog/SICStus/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -72,7 +72,7 @@ ppl_sicstus.so: ppl_sicstus.pl $(top_builddir)/src/libppl.la libppl_sicstus.la
install-data-local: ppl_sicstus.so
$(LIBTOOL) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) \
- $< $(DESTDIR)$(pkglibdir)/$<
+ ppl_sicstus.so $(DESTDIR)$(pkglibdir)/ppl_sicstus.so
else !ENABLE_SHARED
diff --git a/interfaces/Prolog/SICStus/Makefile.in b/interfaces/Prolog/SICStus/Makefile.in
index 1d73c98..ccc44ab 100644
--- a/interfaces/Prolog/SICStus/Makefile.in
+++ b/interfaces/Prolog/SICStus/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -41,6 +40,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -61,7 +77,8 @@ build_triplet = @build@
host_triplet = @host@
bin_PROGRAMS = ppl_sicstus$(EXEEXT)
subdir = interfaces/Prolog/SICStus
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -103,6 +120,7 @@ libppl_sicstus_la_OBJECTS = $(am_libppl_sicstus_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_sicstus_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX \
$(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=link $(CXXLD) \
$(AM_CXXFLAGS) $(CXXFLAGS) $(libppl_sicstus_la_LDFLAGS) \
@@ -112,6 +130,18 @@ PROGRAMS = $(bin_PROGRAMS)
am_ppl_sicstus_OBJECTS =
ppl_sicstus_OBJECTS = $(am_ppl_sicstus_OBJECTS)
ppl_sicstus_LDADD = $(LDADD)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -124,17 +154,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -143,22 +172,26 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_sicstus_la_SOURCES) \
$(nodist_libppl_sicstus_la_SOURCES) \
$(nodist_EXTRA_libppl_sicstus_la_SOURCES) \
$(ppl_sicstus_SOURCES)
DIST_SOURCES = $(libppl_sicstus_la_SOURCES) $(ppl_sicstus_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -579,18 +612,23 @@ $(am__aclocal_m4_deps):
clean-noinstLTLIBRARIES:
-test -z "$(noinst_LTLIBRARIES)" || rm -f $(noinst_LTLIBRARIES)
- @list='$(noinst_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(noinst_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_sicstus.la: $(libppl_sicstus_la_OBJECTS) $(libppl_sicstus_la_DEPENDENCIES) $(EXTRA_libppl_sicstus_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_sicstus_la_LINK) $(libppl_sicstus_la_OBJECTS) $(libppl_sicstus_la_LIBADD) $(LIBS)
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -1276,8 +1314,11 @@ clean-libtool:
-rm -rf .libs _libs
install-pkgdataDATA: $(pkgdata_DATA)
@$(NORMAL_INSTALL)
- test -z "$(pkgdatadir)" || $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)"
@list='$(pkgdata_DATA)'; test -n "$(pkgdatadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkgdatadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1342,6 +1383,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1491,19 +1546,19 @@ uninstall-am: uninstall-binPROGRAMS uninstall-pkgdataDATA
.PHONY: CTAGS GTAGS all all-am check check-am check-local clean \
clean-binPROGRAMS clean-generic clean-libtool \
- clean-noinstLTLIBRARIES ctags distclean distclean-compile \
- distclean-generic distclean-libtool distclean-tags distdir dvi \
- dvi-am html html-am info info-am install install-am \
- install-binPROGRAMS install-data install-data-am \
- install-data-local install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-pdf install-pdf-am \
- install-pkgdataDATA install-ps install-ps-am install-strip \
- installcheck installcheck-am installdirs maintainer-clean \
- maintainer-clean-generic mostlyclean mostlyclean-compile \
- mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
- tags uninstall uninstall-am uninstall-binPROGRAMS \
- uninstall-pkgdataDATA
+ clean-noinstLTLIBRARIES cscopelist ctags distclean \
+ distclean-compile distclean-generic distclean-libtool \
+ distclean-tags distdir dvi dvi-am html html-am info info-am \
+ install install-am install-binPROGRAMS install-data \
+ install-data-am install-data-local install-dvi install-dvi-am \
+ install-exec install-exec-am install-html install-html-am \
+ install-info install-info-am install-man install-pdf \
+ install-pdf-am install-pkgdataDATA install-ps install-ps-am \
+ install-strip installcheck installcheck-am installdirs \
+ maintainer-clean maintainer-clean-generic mostlyclean \
+ mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
+ pdf pdf-am ps ps-am tags uninstall uninstall-am \
+ uninstall-binPROGRAMS uninstall-pkgdataDATA
ppl_sicstus_sd.cc: $(interface_generator_dependencies)
@@ -1521,7 +1576,7 @@ ppl_sicstus_sd.cc: $(interface_generator_dependencies)
@ENABLE_SHARED_TRUE at install-data-local: ppl_sicstus.so
@ENABLE_SHARED_TRUE@ $(LIBTOOL) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) \
- at ENABLE_SHARED_TRUE@ $< $(DESTDIR)$(pkglibdir)/$<
+ at ENABLE_SHARED_TRUE@ ppl_sicstus.so $(DESTDIR)$(pkglibdir)/ppl_sicstus.so
ppl_sicstus$(EXEEXT): ppl_sicstus.s.o $(top_builddir)/src/libppl.la
$(LIBTOOL) --mode=link --tag=CXX \
diff --git a/interfaces/Prolog/SICStus/ppl_interface_generator_sicstus_sd_cc.m4 b/interfaces/Prolog/SICStus/ppl_interface_generator_sicstus_sd_cc.m4
index 0bb5c5a..fe06db1 100644
--- a/interfaces/Prolog/SICStus/ppl_interface_generator_sicstus_sd_cc.m4
+++ b/interfaces/Prolog/SICStus/ppl_interface_generator_sicstus_sd_cc.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_sicstus_sd.cc.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/SICStus/ppl_prolog_sysdep.hh b/interfaces/Prolog/SICStus/ppl_prolog_sysdep.hh
index 8e0409c..996977e 100644
--- a/interfaces/Prolog/SICStus/ppl_prolog_sysdep.hh
+++ b/interfaces/Prolog/SICStus/ppl_prolog_sysdep.hh
@@ -1,6 +1,6 @@
/* System-dependent part of the Prolog interfaces: stub for SICStus Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SICStus/ppl_sicstus.pl b/interfaces/Prolog/SICStus/ppl_sicstus.pl
index 19be8a0..0f43913 100644
--- a/interfaces/Prolog/SICStus/ppl_sicstus.pl
+++ b/interfaces/Prolog/SICStus/ppl_sicstus.pl
@@ -1,6 +1,6 @@
/* Loader for the SICStus Prolog interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,8 +23,8 @@ site: http://bugseng.com/products/ppl/ . */
foreign_resource(ppl_sicstus,
[
- init(ppl_sicstus_init),
- deinit(ppl_sicstus_deinit)
+ init(ppl_sicstus_init),
+ deinit(ppl_sicstus_deinit)
]).
:- load_foreign_resource(ppl_sicstus).
diff --git a/interfaces/Prolog/SICStus/sicstus_cfli.cc b/interfaces/Prolog/SICStus/sicstus_cfli.cc
index e97aa45..0ad4b28 100644
--- a/interfaces/Prolog/SICStus/sicstus_cfli.cc
+++ b/interfaces/Prolog/SICStus/sicstus_cfli.cc
@@ -1,6 +1,6 @@
/* SICStus Prolog Common Foreign Language Interface: implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SICStus/sicstus_cfli.h b/interfaces/Prolog/SICStus/sicstus_cfli.h
index 5ba53a3..0ec2027 100644
--- a/interfaces/Prolog/SICStus/sicstus_cfli.h
+++ b/interfaces/Prolog/SICStus/sicstus_cfli.h
@@ -1,6 +1,6 @@
/* SICStus Prolog Common Foreign Language Interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -82,25 +82,25 @@ Prolog_atom_from_string(const char* s);
PCFLI_DECLSPEC int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1);
+ Prolog_term_ref a1);
PCFLI_DECLSPEC int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2);
+ Prolog_term_ref a1, Prolog_term_ref a2);
PCFLI_DECLSPEC int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3);
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3);
PCFLI_DECLSPEC int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4);
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4);
PCFLI_DECLSPEC int
Prolog_construct_cons(Prolog_term_ref c,
- Prolog_term_ref h, Prolog_term_ref t);
+ Prolog_term_ref h, Prolog_term_ref t);
PCFLI_DECLSPEC void
Prolog_raise_exception(Prolog_term_ref t);
@@ -134,7 +134,7 @@ Prolog_get_atom_name(Prolog_term_ref t, Prolog_atom& name);
PCFLI_DECLSPEC int
Prolog_get_compound_name_arity(Prolog_term_ref t,
- Prolog_atom& name, int& arity);
+ Prolog_atom& name, int& arity);
PCFLI_DECLSPEC int
Prolog_get_arg(int i, Prolog_term_ref t, Prolog_term_ref a);
diff --git a/interfaces/Prolog/SICStus/sicstus_cfli.ic b/interfaces/Prolog/SICStus/sicstus_cfli.ic
index 5dfe493..56101c9 100644
--- a/interfaces/Prolog/SICStus/sicstus_cfli.ic
+++ b/interfaces/Prolog/SICStus/sicstus_cfli.ic
@@ -1,6 +1,6 @@
/* SICStus Common Foreign Language Interface: definitions. -*- C -*-
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -122,7 +122,7 @@ Prolog_atom_from_string(const char* s) {
*/
PCFLI_EXTERN_INLINE int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1) {
+ Prolog_term_ref a1) {
return SP_cons_functor(t, f, 1, a1);
}
@@ -132,7 +132,7 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
PCFLI_EXTERN_INLINE int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2) {
+ Prolog_term_ref a1, Prolog_term_ref a2) {
return SP_cons_functor(t, f, 2, a1, a2);
}
@@ -142,8 +142,8 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
PCFLI_EXTERN_INLINE int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3) {
return SP_cons_functor(t, f, 3, a1, a2, a3);
}
@@ -153,8 +153,8 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
PCFLI_EXTERN_INLINE int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4) {
return SP_cons_functor(t, f, 4, a1, a2, a3, a4);
}
@@ -163,7 +163,7 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
PCFLI_EXTERN_INLINE int
Prolog_construct_cons(Prolog_term_ref c,
- Prolog_term_ref h, Prolog_term_ref t) {
+ Prolog_term_ref h, Prolog_term_ref t) {
return SP_cons_list(c, h, t);
}
diff --git a/interfaces/Prolog/SICStus/sicstus_efli.cc b/interfaces/Prolog/SICStus/sicstus_efli.cc
index c9a3e73..39d6827 100644
--- a/interfaces/Prolog/SICStus/sicstus_efli.cc
+++ b/interfaces/Prolog/SICStus/sicstus_efli.cc
@@ -1,6 +1,6 @@
/* SICStus Prolog extended foreign language interface: definitions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SICStus/sicstus_efli.hh b/interfaces/Prolog/SICStus/sicstus_efli.hh
index d8a0ba1..df4bc32 100644
--- a/interfaces/Prolog/SICStus/sicstus_efli.hh
+++ b/interfaces/Prolog/SICStus/sicstus_efli.hh
@@ -1,6 +1,6 @@
/* SICStus Prolog extended foreign language interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SICStus/sp_clpq.pl b/interfaces/Prolog/SICStus/sp_clpq.pl
index 1fa96d9..abfcfa0 100644
--- a/interfaces/Prolog/SICStus/sp_clpq.pl
+++ b/interfaces/Prolog/SICStus/sp_clpq.pl
@@ -1,6 +1,6 @@
/* Main program for the toy PPL/SICStus-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,21 +24,21 @@ site: http://bugseng.com/products/ppl/ . */
:- ensure_loaded('ppl_sicstus.pl').
version_dependent_declarations :-
- prolog_flag(version, V),
- atom_codes(V, VList),
- VList = [_S, _I, _C, _S, _t, _u, _s, _, N|_],
- (N is "4" ->
- true
- ;
- set_prolog_flag(language, iso),
- use_module(library(lists), [append/3, member/2])
- ).
+ prolog_flag(version, V),
+ atom_codes(V, VList),
+ VList = [_S, _I, _C, _S, _t, _u, _s, _, N|_],
+ (N is "4" ->
+ true
+ ;
+ set_prolog_flag(language, iso),
+ use_module(library(lists), [append/3, member/2])
+ ).
eat_eol :-
- get_code(user_input, _EOL).
+ get_code(user_input, _EOL).
main(CLPQ) :-
- version_dependent_declarations,
- ensure_loaded(CLPQ),
- set_prolog_flag(fileerrors, off),
- common_main.
+ version_dependent_declarations,
+ ensure_loaded(CLPQ),
+ set_prolog_flag(fileerrors, off),
+ common_main.
diff --git a/interfaces/Prolog/SICStus/sp_pl_check.pl b/interfaces/Prolog/SICStus/sp_pl_check.pl
index 305be92..73f6ff3 100644
--- a/interfaces/Prolog/SICStus/sp_pl_check.pl
+++ b/interfaces/Prolog/SICStus/sp_pl_check.pl
@@ -1,6 +1,6 @@
/* Main program for the toy PPL/SICStus-Prolog CLP(Q) predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -26,24 +26,24 @@ prolog_system('SICStus').
:- ensure_loaded('ppl_sicstus.pl').
version_dependent_declarations :-
- prolog_flag(version, V),
- atom_codes(V, VList),
- VList = [_S, _I, _C, _S, _t, _u, _s, _, N|_],
- (N is "4" ->
- true
- ;
- set_prolog_flag(language, iso),
- use_module(library(lists), [append/3, member/2])
- ).
+ prolog_flag(version, V),
+ atom_codes(V, VList),
+ VList = [_S, _I, _C, _S, _t, _u, _s, _, N|_],
+ (N is "4" ->
+ true
+ ;
+ set_prolog_flag(language, iso),
+ use_module(library(lists), [append/3, member/2])
+ ).
main :-
- version_dependent_declarations,
- ensure_loaded('pl_check.pl'),
- set_prolog_flag(fileerrors, off),
- (check_all ->
- write('OK')
- ;
- write('FAILURE')
- ),
- nl,
- halt.
+ version_dependent_declarations,
+ ensure_loaded('pl_check.pl'),
+ set_prolog_flag(fileerrors, off),
+ (check_all ->
+ write('OK')
+ ;
+ write('FAILURE')
+ ),
+ nl,
+ halt.
diff --git a/interfaces/Prolog/SICStus/sp_prolog_generated_test.pl b/interfaces/Prolog/SICStus/sp_prolog_generated_test.pl
index 683b3e1..56171e8 100644
--- a/interfaces/Prolog/SICStus/sp_prolog_generated_test.pl
+++ b/interfaces/Prolog/SICStus/sp_prolog_generated_test.pl
@@ -1,6 +1,6 @@
/* Main program for the PPL/SICStus-Prolog generated tests.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -26,24 +26,24 @@ prolog_system('SICStus').
:- ensure_loaded('ppl_sicstus.pl').
version_dependent_declarations :-
- prolog_flag(version, V),
- atom_codes(V, VList),
- VList = [_S, _I, _C, _S, _t, _u, _s, _, N|_],
- (N is "4" ->
- true
- ;
- set_prolog_flag(language, iso),
- use_module(library(lists), [append/3, member/2])
- ).
+ prolog_flag(version, V),
+ atom_codes(V, VList),
+ VList = [_S, _I, _C, _S, _t, _u, _s, _, N|_],
+ (N is "4" ->
+ true
+ ;
+ set_prolog_flag(language, iso),
+ use_module(library(lists), [append/3, member/2])
+ ).
main :-
- version_dependent_declarations,
+ version_dependent_declarations,
ensure_loaded('ppl_prolog_generated_test_main.pl'),
- set_prolog_flag(fileerrors, off),
- (check_all ->
- write('OK')
- ;
- write('FAILURE')
- ),
- nl,
- halt.
+ set_prolog_flag(fileerrors, off),
+ (check_all ->
+ write('OK')
+ ;
+ write('FAILURE')
+ ),
+ nl,
+ halt.
diff --git a/interfaces/Prolog/SWI/Makefile.am b/interfaces/Prolog/SWI/Makefile.am
index f517ca3..26d08c8 100644
--- a/interfaces/Prolog/SWI/Makefile.am
+++ b/interfaces/Prolog/SWI/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Prolog/SWI/Makefile.in b/interfaces/Prolog/SWI/Makefile.in
index ecec6f8..749b404 100644
--- a/interfaces/Prolog/SWI/Makefile.in
+++ b/interfaces/Prolog/SWI/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -41,6 +40,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -62,7 +78,8 @@ host_triplet = @host@
check_PROGRAMS = ppl_pl$(EXEEXT) pl_clpq$(EXEEXT) pl_clpq2$(EXEEXT)
@ENABLE_SHARED_FALSE at bin_PROGRAMS = ppl_pl$(EXEEXT)
subdir = interfaces/Prolog/SWI
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -134,6 +151,7 @@ libppl_swiprolog_la_OBJECTS = $(am_libppl_swiprolog_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_swiprolog_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX \
$(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=link $(CXXLD) \
$(AM_CXXFLAGS) $(CXXFLAGS) $(libppl_swiprolog_la_LDFLAGS) \
@@ -148,6 +166,18 @@ pl_clpq2_LDADD = $(LDADD)
am_ppl_pl_OBJECTS = ppl_pl.$(OBJEXT)
ppl_pl_OBJECTS = $(am_ppl_pl_OBJECTS)
ppl_pl_LDADD = $(LDADD)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -160,17 +190,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -179,23 +208,27 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_swiprolog_la_SOURCES) \
$(nodist_libppl_swiprolog_la_SOURCES) \
$(nodist_EXTRA_libppl_swiprolog_la_SOURCES) $(pl_clpq_SOURCES) \
$(pl_clpq2_SOURCES) $(ppl_pl_SOURCES)
DIST_SOURCES = $(libppl_swiprolog_la_SOURCES) $(pl_clpq_SOURCES) \
$(pl_clpq2_SOURCES) $(ppl_pl_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(pkgdata_DATA)
ETAGS = etags
CTAGS = ctags
@@ -612,7 +645,6 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)"
@list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -620,6 +652,8 @@ install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkglibdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \
}
@@ -635,18 +669,23 @@ uninstall-pkglibLTLIBRARIES:
clean-pkglibLTLIBRARIES:
-test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES)
- @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(pkglib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_swiprolog.la: $(libppl_swiprolog_la_OBJECTS) $(libppl_swiprolog_la_DEPENDENCIES) $(EXTRA_libppl_swiprolog_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_swiprolog_la_LINK) -rpath $(pkglibdir) $(libppl_swiprolog_la_OBJECTS) $(libppl_swiprolog_la_LIBADD) $(LIBS)
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -1343,8 +1382,11 @@ clean-libtool:
-rm -rf .libs _libs
install-pkgdataDATA: $(pkgdata_DATA)
@$(NORMAL_INSTALL)
- test -z "$(pkgdatadir)" || $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)"
@list='$(pkgdata_DATA)'; test -n "$(pkgdatadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkgdatadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1409,6 +1451,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1559,20 +1615,20 @@ uninstall-am: uninstall-binPROGRAMS uninstall-pkgdataDATA \
.PHONY: CTAGS GTAGS all all-am check check-am check-local clean \
clean-binPROGRAMS clean-checkPROGRAMS clean-generic \
- clean-libtool clean-pkglibLTLIBRARIES ctags distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-binPROGRAMS install-data \
- install-data-am install-dvi install-dvi-am install-exec \
- install-exec-am install-html install-html-am install-info \
- install-info-am install-man install-pdf install-pdf-am \
- install-pkgdataDATA install-pkglibLTLIBRARIES install-ps \
- install-ps-am install-strip installcheck installcheck-am \
- installdirs maintainer-clean maintainer-clean-generic \
- mostlyclean mostlyclean-compile mostlyclean-generic \
- mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \
- uninstall-am uninstall-binPROGRAMS uninstall-pkgdataDATA \
- uninstall-pkglibLTLIBRARIES
+ clean-libtool clean-pkglibLTLIBRARIES cscopelist ctags \
+ distclean distclean-compile distclean-generic \
+ distclean-libtool distclean-tags distdir dvi dvi-am html \
+ html-am info info-am install install-am install-binPROGRAMS \
+ install-data install-data-am install-dvi install-dvi-am \
+ install-exec install-exec-am install-html install-html-am \
+ install-info install-info-am install-man install-pdf \
+ install-pdf-am install-pkgdataDATA install-pkglibLTLIBRARIES \
+ install-ps install-ps-am install-strip installcheck \
+ installcheck-am installdirs maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-compile \
+ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
+ tags uninstall uninstall-am uninstall-binPROGRAMS \
+ uninstall-pkgdataDATA uninstall-pkglibLTLIBRARIES
ppl_swiprolog.cc: $(interface_generator_dependencies)
diff --git a/interfaces/Prolog/SWI/README.swiprolog b/interfaces/Prolog/SWI/README.swiprolog
index 867b39b..d3c5a7c 100644
--- a/interfaces/Prolog/SWI/README.swiprolog
+++ b/interfaces/Prolog/SWI/README.swiprolog
@@ -1,5 +1,5 @@
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is free software; as a special exception the author gives
# unlimited permission to copy and/or distribute it, with or without
diff --git a/interfaces/Prolog/SWI/pl_clpq.cc b/interfaces/Prolog/SWI/pl_clpq.cc
index 42e8283..04fd85c 100644
--- a/interfaces/Prolog/SWI/pl_clpq.cc
+++ b/interfaces/Prolog/SWI/pl_clpq.cc
@@ -1,6 +1,6 @@
/* C++ main program for the toy PPL/SWI-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/pl_clpq.pl b/interfaces/Prolog/SWI/pl_clpq.pl
index 55f692e..246ddfe 100644
--- a/interfaces/Prolog/SWI/pl_clpq.pl
+++ b/interfaces/Prolog/SWI/pl_clpq.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the toy PPL/SWI-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/ppl_interface_generator_swiprolog_cc.m4 b/interfaces/Prolog/SWI/ppl_interface_generator_swiprolog_cc.m4
index 049e46f..fa71c76 100644
--- a/interfaces/Prolog/SWI/ppl_interface_generator_swiprolog_cc.m4
+++ b/interfaces/Prolog/SWI/ppl_interface_generator_swiprolog_cc.m4
@@ -3,7 +3,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_swiprolog.cc.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/SWI/ppl_pl.cc b/interfaces/Prolog/SWI/ppl_pl.cc
index 98fd7fa..a2d279a 100644
--- a/interfaces/Prolog/SWI/ppl_pl.cc
+++ b/interfaces/Prolog/SWI/ppl_pl.cc
@@ -1,6 +1,6 @@
/* Main program for SWI-Prolog with the PPL statically linked.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/ppl_prolog_sysdep.hh b/interfaces/Prolog/SWI/ppl_prolog_sysdep.hh
index 477e69e..0830c7d 100644
--- a/interfaces/Prolog/SWI/ppl_prolog_sysdep.hh
+++ b/interfaces/Prolog/SWI/ppl_prolog_sysdep.hh
@@ -1,6 +1,6 @@
/* System-dependent part of the Prolog interfaces: stub for SWI Prolog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/ppl_swiprolog.pl b/interfaces/Prolog/SWI/ppl_swiprolog.pl
index d4ce1a6..4c19beb 100644
--- a/interfaces/Prolog/SWI/ppl_swiprolog.pl
+++ b/interfaces/Prolog/SWI/ppl_swiprolog.pl
@@ -1,6 +1,6 @@
/* Loader for the SWI-Prolog interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/swi_cfli.hh b/interfaces/Prolog/SWI/swi_cfli.hh
index 414d1f4..4fe3071 100644
--- a/interfaces/Prolog/SWI/swi_cfli.hh
+++ b/interfaces/Prolog/SWI/swi_cfli.hh
@@ -1,6 +1,6 @@
/* SWI-Prolog Common Foreign Language Interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -171,7 +171,7 @@ Prolog_atom_from_string(const char* s) {
*/
inline int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1) {
+ Prolog_term_ref a1) {
#if PLVERSION >= 50800
return PL_cons_functor(t, PL_new_functor(f, 1), a1);
#else
@@ -186,7 +186,7 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2) {
+ Prolog_term_ref a1, Prolog_term_ref a2) {
#if PLVERSION >= 50800
return PL_cons_functor(t, PL_new_functor(f, 2), a1, a2);
#else
@@ -201,8 +201,8 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3) {
#if PLVERSION >= 50800
return PL_cons_functor(t, PL_new_functor(f, 3), a1, a2, a3);
#else
@@ -217,8 +217,8 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4) {
#if PLVERSION >= 50800
return PL_cons_functor(t, PL_new_functor(f, 4), a1, a2, a3, a4);
#else
@@ -232,7 +232,7 @@ Prolog_construct_compound(Prolog_term_ref t, Prolog_atom f,
*/
inline int
Prolog_construct_cons(Prolog_term_ref c,
- Prolog_term_ref h, Prolog_term_ref t) {
+ Prolog_term_ref h, Prolog_term_ref t) {
#if PLVERSION >= 50800
return PL_cons_list(c, h, t);
#else
diff --git a/interfaces/Prolog/SWI/swi_efli.cc b/interfaces/Prolog/SWI/swi_efli.cc
index a1e0f8b..9ba49ca 100644
--- a/interfaces/Prolog/SWI/swi_efli.cc
+++ b/interfaces/Prolog/SWI/swi_efli.cc
@@ -1,6 +1,6 @@
/* SWI-Prolog extended foreign language interface: definitions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/swi_efli.hh b/interfaces/Prolog/SWI/swi_efli.hh
index 060de2f..037f3ac 100644
--- a/interfaces/Prolog/SWI/swi_efli.hh
+++ b/interfaces/Prolog/SWI/swi_efli.hh
@@ -1,6 +1,6 @@
/* SWI-Prolog extended foreign language interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/SWI/swi_pl_check.pl b/interfaces/Prolog/SWI/swi_pl_check.pl
index ddb3667..c64957a 100644
--- a/interfaces/Prolog/SWI/swi_pl_check.pl
+++ b/interfaces/Prolog/SWI/swi_pl_check.pl
@@ -1,6 +1,6 @@
/* Main program for the PPL/SWI-Prolog checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -30,9 +30,9 @@ main :-
open(obtained_pchk, write, Stream),
set_output(Stream),
(check_all ->
- write('OK')
+ write('OK')
;
- write('FAILURE')
+ write('FAILURE')
),
nl,
close(Stream),
diff --git a/interfaces/Prolog/SWI/swi_prolog_generated_test.pl b/interfaces/Prolog/SWI/swi_prolog_generated_test.pl
index c1e95db..79484ad 100644
--- a/interfaces/Prolog/SWI/swi_prolog_generated_test.pl
+++ b/interfaces/Prolog/SWI/swi_prolog_generated_test.pl
@@ -1,6 +1,6 @@
/* Main program for the PPL/SWI-Prolog generated tests.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -38,9 +38,9 @@ main :-
open(obtained_pgt, write, Stream),
set_output(Stream),
(check_all ->
- write('OK')
+ write('OK')
;
- write('FAILURE')
+ write('FAILURE')
),
nl,
close(Stream),
diff --git a/interfaces/Prolog/XSB/Makefile.am b/interfaces/Prolog/XSB/Makefile.am
index 105d351..862766f 100644
--- a/interfaces/Prolog/XSB/Makefile.am
+++ b/interfaces/Prolog/XSB/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Prolog/XSB/Makefile.in b/interfaces/Prolog/XSB/Makefile.in
index 91f960c..f315baa 100644
--- a/interfaces/Prolog/XSB/Makefile.in
+++ b/interfaces/Prolog/XSB/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Prolog/XSB
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -100,10 +117,23 @@ libppl_xsb_la_OBJECTS = $(am_libppl_xsb_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_xsb_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX \
$(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=link $(CXXLD) \
$(AM_CXXFLAGS) $(CXXFLAGS) $(libppl_xsb_la_LDFLAGS) $(LDFLAGS) \
-o $@
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -116,17 +146,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -135,20 +164,24 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_xsb_la_SOURCES) $(nodist_libppl_xsb_la_SOURCES) \
$(nodist_EXTRA_libppl_xsb_la_SOURCES)
DIST_SOURCES = $(libppl_xsb_la_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -578,12 +611,14 @@ $(am__aclocal_m4_deps):
clean-noinstLTLIBRARIES:
-test -z "$(noinst_LTLIBRARIES)" || rm -f $(noinst_LTLIBRARIES)
- @list='$(noinst_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(noinst_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl_xsb.la: $(libppl_xsb_la_OBJECTS) $(libppl_xsb_la_DEPENDENCIES) $(EXTRA_libppl_xsb_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_xsb_la_LINK) $(libppl_xsb_la_OBJECTS) $(libppl_xsb_la_LIBADD) $(LIBS)
@@ -1231,8 +1266,11 @@ clean-libtool:
-rm -rf .libs _libs
install-pkgdataDATA: $(pkgdata_DATA)
@$(NORMAL_INSTALL)
- test -z "$(pkgdatadir)" || $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)"
@list='$(pkgdata_DATA)'; test -n "$(pkgdatadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkgdatadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1297,6 +1335,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1447,8 +1499,8 @@ uninstall-am: uninstall-pkgdataDATA
.MAKE: all check check-am install install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-am check-local clean \
- clean-generic clean-libtool clean-noinstLTLIBRARIES ctags \
- distclean distclean-compile distclean-generic \
+ clean-generic clean-libtool clean-noinstLTLIBRARIES cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_H.m4 b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_H.m4
index 4950fa1..b346f41 100644
--- a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_H.m4
+++ b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_H.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_xsb.H.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_cc.m4 b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_cc.m4
index 7a86d27..e97d8cb 100644
--- a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_cc.m4
+++ b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_cc.m4
@@ -3,7 +3,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_xsb.cc.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_hh.m4 b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_hh.m4
index 88d3042..2465c68 100644
--- a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_hh.m4
+++ b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_hh.m4
@@ -3,7 +3,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_xsb.cc.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_prolog_generated_test_P.m4 b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_prolog_generated_test_P.m4
index dd926f6..1e4dedd 100644
--- a/interfaces/Prolog/XSB/ppl_interface_generator_xsb_prolog_generated_test_P.m4
+++ b/interfaces/Prolog/XSB/ppl_interface_generator_xsb_prolog_generated_test_P.m4
@@ -5,7 +5,7 @@ dnl This m4 file defines macros needed for generating
dnl the XSB dependent code for xsb_prolog_generated_test.pl.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/XSB/ppl_prolog_sysdep.hh b/interfaces/Prolog/XSB/ppl_prolog_sysdep.hh
index 08a5af1..83eede1 100644
--- a/interfaces/Prolog/XSB/ppl_prolog_sysdep.hh
+++ b/interfaces/Prolog/XSB/ppl_prolog_sysdep.hh
@@ -1,6 +1,6 @@
/* System-dependent part of the Prolog interfaces: stub for XSB.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/XSB/xsb_cfli.hh b/interfaces/Prolog/XSB/xsb_cfli.hh
index 434baba..fa6c8f0 100644
--- a/interfaces/Prolog/XSB/xsb_cfli.hh
+++ b/interfaces/Prolog/XSB/xsb_cfli.hh
@@ -1,6 +1,6 @@
/* XSB Prolog Common Foreign Language Interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -134,7 +134,7 @@ Prolog_atom_from_string(const char* s) {
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1) {
+ Prolog_term_ref a1) {
prolog_term new_compound = p2p_new();
c2p_functor(f, 1, new_compound);
p2p_unify(p2p_arg(new_compound, 1), a1);
@@ -148,7 +148,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2) {
+ Prolog_term_ref a1, Prolog_term_ref a2) {
prolog_term new_compound = p2p_new();
c2p_functor(f, 2, new_compound);
p2p_unify(p2p_arg(new_compound, 1), a1);
@@ -163,8 +163,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3) {
prolog_term new_compound = p2p_new();
c2p_functor(f, 3, new_compound);
p2p_unify(p2p_arg(new_compound, 1), a1);
@@ -180,8 +180,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4) {
prolog_term new_compound = p2p_new();
c2p_functor(f, 4, new_compound);
p2p_unify(p2p_arg(new_compound, 1), a1);
@@ -197,7 +197,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_cons(Prolog_term_ref& c,
- Prolog_term_ref h, Prolog_term_ref t) {
+ Prolog_term_ref h, Prolog_term_ref t) {
prolog_term new_cons = p2p_new();
c2p_list(new_cons);
p2p_unify(p2p_car(new_cons), h);
diff --git a/interfaces/Prolog/XSB/xsb_clpq.P b/interfaces/Prolog/XSB/xsb_clpq.P
index d4d7ac7..dd0e452 100644
--- a/interfaces/Prolog/XSB/xsb_clpq.P
+++ b/interfaces/Prolog/XSB/xsb_clpq.P
@@ -1,6 +1,6 @@
/* Prolog main program for the toy PPL/XSB-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,19 +27,19 @@ site: http://bugseng.com/products/ppl/ . */
:- import append/3, length/2, member/2 from basics.
:- import
- ppl_initialize/0,
- ppl_finalize/0,
- ppl_new_C_Polyhedron_from_space_dimension/3,
- ppl_new_NNC_Polyhedron_from_space_dimension/3,
- ppl_new_C_Polyhedron_from_C_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
- ppl_delete_Polyhedron/1,
+ ppl_initialize/0,
+ ppl_finalize/0,
+ ppl_new_C_Polyhedron_from_space_dimension/3,
+ ppl_new_NNC_Polyhedron_from_space_dimension/3,
+ ppl_new_C_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_delete_Polyhedron/1,
ppl_Polyhedron_is_empty/1,
- ppl_Polyhedron_space_dimension/2,
+ ppl_Polyhedron_space_dimension/2,
ppl_Polyhedron_add_constraints/2,
- ppl_Polyhedron_get_constraints/2,
- ppl_Polyhedron_add_space_dimensions_and_embed/2,
- ppl_Polyhedron_remove_higher_space_dimensions/2
+ ppl_Polyhedron_get_constraints/2,
+ ppl_Polyhedron_add_space_dimensions_and_embed/2,
+ ppl_Polyhedron_remove_higher_space_dimensions/2
from ppl_xsb.
:- [ppl_xsb].
diff --git a/interfaces/Prolog/XSB/xsb_clpq2.P b/interfaces/Prolog/XSB/xsb_clpq2.P
index cc6da7f..4218630 100644
--- a/interfaces/Prolog/XSB/xsb_clpq2.P
+++ b/interfaces/Prolog/XSB/xsb_clpq2.P
@@ -1,6 +1,6 @@
/* Prolog main program for the toy PPL/XSB-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,20 +27,20 @@ site: http://bugseng.com/products/ppl/ . */
:- import append/3, length/2, member/2 from basics.
:- import
- ppl_initialize/0,
- ppl_finalize/0,
- ppl_new_C_Polyhedron_from_space_dimension/3,
- ppl_new_NNC_Polyhedron_from_space_dimension/3,
- ppl_new_C_Polyhedron_from_C_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
- ppl_delete_Polyhedron/1,
+ ppl_initialize/0,
+ ppl_finalize/0,
+ ppl_new_C_Polyhedron_from_space_dimension/3,
+ ppl_new_NNC_Polyhedron_from_space_dimension/3,
+ ppl_new_C_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_delete_Polyhedron/1,
ppl_Polyhedron_is_empty/1,
- ppl_Polyhedron_space_dimension/2,
+ ppl_Polyhedron_space_dimension/2,
ppl_Polyhedron_add_constraints/2,
- ppl_Polyhedron_get_constraints/2,
- ppl_Polyhedron_add_space_dimensions_and_embed/2,
- ppl_Polyhedron_remove_space_dimensions/2,
- ppl_Polyhedron_remove_higher_space_dimensions/2
+ ppl_Polyhedron_get_constraints/2,
+ ppl_Polyhedron_add_space_dimensions_and_embed/2,
+ ppl_Polyhedron_remove_space_dimensions/2,
+ ppl_Polyhedron_remove_higher_space_dimensions/2
from ppl_xsb.
:- [ppl_xsb].
diff --git a/interfaces/Prolog/XSB/xsb_efli.cc b/interfaces/Prolog/XSB/xsb_efli.cc
index e17dd25..689eb90 100644
--- a/interfaces/Prolog/XSB/xsb_efli.cc
+++ b/interfaces/Prolog/XSB/xsb_efli.cc
@@ -1,6 +1,6 @@
/* XSB extended foreign language interface: definitions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "xsb_efli.hh"
-#include "ppl_prolog_common.defs.hh"
+#include "ppl_prolog_common_defs.hh"
namespace Parma_Polyhedra_Library {
diff --git a/interfaces/Prolog/XSB/xsb_efli.hh b/interfaces/Prolog/XSB/xsb_efli.hh
index efa79a4..5dc4336 100644
--- a/interfaces/Prolog/XSB/xsb_efli.hh
+++ b/interfaces/Prolog/XSB/xsb_efli.hh
@@ -1,6 +1,6 @@
/* XSB extended foreign language interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/XSB/xsb_pl_check.P b/interfaces/Prolog/XSB/xsb_pl_check.P
index 0426c72..76b13e9 100644
--- a/interfaces/Prolog/XSB/xsb_pl_check.P
+++ b/interfaces/Prolog/XSB/xsb_pl_check.P
@@ -1,6 +1,6 @@
/* Prolog main program for the PPL/XSB-Prolog predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,112 +27,112 @@ site: http://bugseng.com/products/ppl/ . */
:- import append/3, length/2, member/2 from basics.
:- import
- ppl_version_major/1,
- ppl_version_minor/1,
- ppl_version_revision/1,
- ppl_version_beta/1,
- ppl_version/1,
- ppl_banner/1,
- ppl_max_space_dimension/1,
+ ppl_version_major/1,
+ ppl_version_minor/1,
+ ppl_version_revision/1,
+ ppl_version_beta/1,
+ ppl_version/1,
+ ppl_banner/1,
+ ppl_max_space_dimension/1,
ppl_Coefficient_bits/1,
- ppl_Coefficient_is_bounded/0,
- ppl_Coefficient_max/1,
- ppl_Coefficient_min/1,
- ppl_initialize/0,
- ppl_finalize/0,
+ ppl_Coefficient_is_bounded/0,
+ ppl_Coefficient_max/1,
+ ppl_Coefficient_min/1,
+ ppl_initialize/0,
+ ppl_finalize/0,
ppl_set_irrational_precision/1,
ppl_irrational_precision/1,
- ppl_set_timeout_exception_atom/1,
- ppl_timeout_exception_atom/1,
- ppl_set_timeout/1,
- ppl_reset_timeout/0,
+ ppl_set_timeout_exception_atom/1,
+ ppl_timeout_exception_atom/1,
+ ppl_set_timeout/1,
+ ppl_reset_timeout/0,
ppl_set_rounding_for_PPL/0,
ppl_restore_pre_PPL_rounding/0,
- ppl_new_C_Polyhedron_from_space_dimension/3,
- ppl_new_NNC_Polyhedron_from_space_dimension/3,
- ppl_new_C_Polyhedron_from_C_Polyhedron/2,
- ppl_new_C_Polyhedron_from_NNC_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_C_Polyhedron/2,
- ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
- ppl_new_C_Polyhedron_from_constraints/2,
- ppl_new_NNC_Polyhedron_from_constraints/2,
- ppl_new_C_Polyhedron_from_generators/2,
- ppl_new_NNC_Polyhedron_from_generators/2,
+ ppl_new_C_Polyhedron_from_space_dimension/3,
+ ppl_new_NNC_Polyhedron_from_space_dimension/3,
+ ppl_new_C_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_C_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_C_Polyhedron/2,
+ ppl_new_NNC_Polyhedron_from_NNC_Polyhedron/2,
+ ppl_new_C_Polyhedron_from_constraints/2,
+ ppl_new_NNC_Polyhedron_from_constraints/2,
+ ppl_new_C_Polyhedron_from_generators/2,
+ ppl_new_NNC_Polyhedron_from_generators/2,
ppl_C_Polyhedron_upper_bound_assign_if_exact/2,
ppl_NNC_Polyhedron_upper_bound_assign_if_exact/2,
- ppl_Polyhedron_swap/2,
- ppl_delete_Polyhedron/1,
- ppl_Polyhedron_space_dimension/2,
- ppl_Polyhedron_affine_dimension/2,
- ppl_Polyhedron_get_constraints/2,
- ppl_Polyhedron_get_minimized_constraints/2,
- ppl_Polyhedron_get_generators/2,
- ppl_Polyhedron_get_minimized_generators/2,
- ppl_Polyhedron_relation_with_constraint/3,
- ppl_Polyhedron_relation_with_generator/3,
- ppl_Polyhedron_is_empty/1,
- ppl_Polyhedron_is_universe/1,
- ppl_Polyhedron_is_bounded/1,
- ppl_Polyhedron_contains_integer_point/1,
- ppl_Polyhedron_bounds_from_above/2,
- ppl_Polyhedron_bounds_from_below/2,
- ppl_Polyhedron_maximize/5,
- ppl_Polyhedron_maximize_with_point/6,
- ppl_Polyhedron_minimize/5,
- ppl_Polyhedron_minimize_with_point/6,
+ ppl_Polyhedron_swap/2,
+ ppl_delete_Polyhedron/1,
+ ppl_Polyhedron_space_dimension/2,
+ ppl_Polyhedron_affine_dimension/2,
+ ppl_Polyhedron_get_constraints/2,
+ ppl_Polyhedron_get_minimized_constraints/2,
+ ppl_Polyhedron_get_generators/2,
+ ppl_Polyhedron_get_minimized_generators/2,
+ ppl_Polyhedron_relation_with_constraint/3,
+ ppl_Polyhedron_relation_with_generator/3,
+ ppl_Polyhedron_is_empty/1,
+ ppl_Polyhedron_is_universe/1,
+ ppl_Polyhedron_is_bounded/1,
+ ppl_Polyhedron_contains_integer_point/1,
+ ppl_Polyhedron_bounds_from_above/2,
+ ppl_Polyhedron_bounds_from_below/2,
+ ppl_Polyhedron_maximize/5,
+ ppl_Polyhedron_maximize_with_point/6,
+ ppl_Polyhedron_minimize/5,
+ ppl_Polyhedron_minimize_with_point/6,
ppl_Polyhedron_is_topologically_closed/1,
- ppl_Polyhedron_contains_Polyhedron/2,
- ppl_Polyhedron_strictly_contains_Polyhedron/2,
- ppl_Polyhedron_is_disjoint_from_Polyhedron/2,
+ ppl_Polyhedron_contains_Polyhedron/2,
+ ppl_Polyhedron_strictly_contains_Polyhedron/2,
+ ppl_Polyhedron_is_disjoint_from_Polyhedron/2,
ppl_Polyhedron_equals_Polyhedron/2,
- ppl_Polyhedron_OK/1,
- ppl_Polyhedron_add_constraint/2,
- ppl_Polyhedron_add_generator/2,
- ppl_Polyhedron_add_constraints/2,
- ppl_Polyhedron_add_generators/2,
- ppl_Polyhedron_intersection_assign/2,
- ppl_Polyhedron_poly_hull_assign/2,
- ppl_Polyhedron_poly_difference_assign/2,
- ppl_Polyhedron_affine_image/4,
- ppl_Polyhedron_affine_preimage/4,
- ppl_Polyhedron_bounded_affine_image/5,
- ppl_Polyhedron_bounded_affine_preimage/5,
- ppl_Polyhedron_generalized_affine_image/5,
- ppl_Polyhedron_generalized_affine_preimage/5,
- ppl_Polyhedron_generalized_affine_image_lhs_rhs/4,
- ppl_Polyhedron_generalized_affine_preimage_lhs_rhs/4,
- ppl_Polyhedron_time_elapse_assign/2,
+ ppl_Polyhedron_OK/1,
+ ppl_Polyhedron_add_constraint/2,
+ ppl_Polyhedron_add_generator/2,
+ ppl_Polyhedron_add_constraints/2,
+ ppl_Polyhedron_add_generators/2,
+ ppl_Polyhedron_intersection_assign/2,
+ ppl_Polyhedron_poly_hull_assign/2,
+ ppl_Polyhedron_poly_difference_assign/2,
+ ppl_Polyhedron_affine_image/4,
+ ppl_Polyhedron_affine_preimage/4,
+ ppl_Polyhedron_bounded_affine_image/5,
+ ppl_Polyhedron_bounded_affine_preimage/5,
+ ppl_Polyhedron_generalized_affine_image/5,
+ ppl_Polyhedron_generalized_affine_preimage/5,
+ ppl_Polyhedron_generalized_affine_image_lhs_rhs/4,
+ ppl_Polyhedron_generalized_affine_preimage_lhs_rhs/4,
+ ppl_Polyhedron_time_elapse_assign/2,
ppl_Polyhedron_topological_closure_assign/1,
- ppl_Polyhedron_BHRZ03_widening_assign_with_tokens/4,
- ppl_Polyhedron_BHRZ03_widening_assign/2,
- ppl_Polyhedron_limited_BHRZ03_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_limited_BHRZ03_extrapolation_assign/3,
- ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign/3,
- ppl_Polyhedron_H79_widening_assign_with_tokens/4,
- ppl_Polyhedron_H79_widening_assign/2,
- ppl_Polyhedron_limited_H79_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_limited_H79_extrapolation_assign/3,
- ppl_Polyhedron_bounded_H79_extrapolation_assign_with_tokens/5,
- ppl_Polyhedron_bounded_H79_extrapolation_assign/3,
- ppl_Polyhedron_add_space_dimensions_and_project/2,
- ppl_Polyhedron_add_space_dimensions_and_embed/2,
- ppl_Polyhedron_concatenate_assign/2,
- ppl_Polyhedron_remove_space_dimensions/2,
- ppl_Polyhedron_remove_higher_space_dimensions/2,
- ppl_Polyhedron_expand_space_dimension/3,
- ppl_Polyhedron_fold_space_dimensions/3,
- ppl_Polyhedron_map_space_dimensions/2,
+ ppl_Polyhedron_BHRZ03_widening_assign_with_tokens/4,
+ ppl_Polyhedron_BHRZ03_widening_assign/2,
+ ppl_Polyhedron_limited_BHRZ03_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_limited_BHRZ03_extrapolation_assign/3,
+ ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign/3,
+ ppl_Polyhedron_H79_widening_assign_with_tokens/4,
+ ppl_Polyhedron_H79_widening_assign/2,
+ ppl_Polyhedron_limited_H79_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_limited_H79_extrapolation_assign/3,
+ ppl_Polyhedron_bounded_H79_extrapolation_assign_with_tokens/5,
+ ppl_Polyhedron_bounded_H79_extrapolation_assign/3,
+ ppl_Polyhedron_add_space_dimensions_and_project/2,
+ ppl_Polyhedron_add_space_dimensions_and_embed/2,
+ ppl_Polyhedron_concatenate_assign/2,
+ ppl_Polyhedron_remove_space_dimensions/2,
+ ppl_Polyhedron_remove_higher_space_dimensions/2,
+ ppl_Polyhedron_expand_space_dimension/3,
+ ppl_Polyhedron_fold_space_dimensions/3,
+ ppl_Polyhedron_map_space_dimensions/2,
ppl_Polyhedron_constrains/2,
ppl_Polyhedron_unconstrain_space_dimension/2,
ppl_Polyhedron_unconstrain_space_dimensions/2,
ppl_termination_test_C_Polyhedron_MS/1,
ppl_termination_test_C_Polyhedron_PR/1,
- ppl_new_MIP_Problem_from_space_dimension/2,
- ppl_new_MIP_Problem/5,
- ppl_new_MIP_Problem_from_MIP_Problem/2,
- ppl_MIP_Problem_swap/2,
- ppl_delete_MIP_Problem/1,
+ ppl_new_MIP_Problem_from_space_dimension/2,
+ ppl_new_MIP_Problem/5,
+ ppl_new_MIP_Problem_from_MIP_Problem/2,
+ ppl_MIP_Problem_swap/2,
+ ppl_delete_MIP_Problem/1,
ppl_MIP_Problem_space_dimension/2,
ppl_MIP_Problem_integer_space_dimensions/2,
ppl_MIP_Problem_constraints/2,
diff --git a/interfaces/Prolog/YAP/Makefile.am b/interfaces/Prolog/YAP/Makefile.am
index c79ad45..69cfe19 100644
--- a/interfaces/Prolog/YAP/Makefile.am
+++ b/interfaces/Prolog/YAP/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Prolog/YAP/Makefile.in b/interfaces/Prolog/YAP/Makefile.in
index 8f710d4..02ee103 100644
--- a/interfaces/Prolog/YAP/Makefile.in
+++ b/interfaces/Prolog/YAP/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Prolog/YAP
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -132,10 +149,23 @@ ppl_yap_la_OBJECTS = $(am_ppl_yap_la_OBJECTS) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
ppl_yap_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(ppl_yap_la_LDFLAGS) $(LDFLAGS) -o $@
@ENABLE_SHARED_TRUE at am_ppl_yap_la_rpath = -rpath $(pkglibdir)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -148,17 +178,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -167,20 +196,24 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(ppl_yap_la_SOURCES) $(nodist_ppl_yap_la_SOURCES) \
$(nodist_EXTRA_ppl_yap_la_SOURCES)
DIST_SOURCES = $(am__ppl_yap_la_SOURCES_DIST)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DATA = $(pkgdata_DATA)
ETAGS = etags
CTAGS = ctags
@@ -577,7 +610,6 @@ $(ACLOCAL_M4): $(am__aclocal_m4_deps)
$(am__aclocal_m4_deps):
install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)"
@list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -585,6 +617,8 @@ install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkglibdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \
}
@@ -600,12 +634,14 @@ uninstall-pkglibLTLIBRARIES:
clean-pkglibLTLIBRARIES:
-test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES)
- @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(pkglib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
ppl_yap.la: $(ppl_yap_la_OBJECTS) $(ppl_yap_la_DEPENDENCIES) $(EXTRA_ppl_yap_la_DEPENDENCIES)
$(AM_V_CXXLD)$(ppl_yap_la_LINK) $(am_ppl_yap_la_rpath) $(ppl_yap_la_OBJECTS) $(ppl_yap_la_LIBADD) $(LIBS)
@@ -1254,8 +1290,11 @@ clean-libtool:
-rm -rf .libs _libs
install-pkgdataDATA: $(pkgdata_DATA)
@$(NORMAL_INSTALL)
- test -z "$(pkgdatadir)" || $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)"
@list='$(pkgdata_DATA)'; test -n "$(pkgdatadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(pkgdatadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(pkgdatadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1320,6 +1359,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1468,8 +1521,8 @@ uninstall-am: uninstall-pkgdataDATA uninstall-pkglibLTLIBRARIES
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-am check-local clean \
- clean-generic clean-libtool clean-pkglibLTLIBRARIES ctags \
- distclean distclean-compile distclean-generic \
+ clean-generic clean-libtool clean-pkglibLTLIBRARIES cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/interfaces/Prolog/YAP/README.yap b/interfaces/Prolog/YAP/README.yap
index db5ea39..01c9fda 100644
--- a/interfaces/Prolog/YAP/README.yap
+++ b/interfaces/Prolog/YAP/README.yap
@@ -1,5 +1,5 @@
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is free software; as a special exception the author gives
# unlimited permission to copy and/or distribute it, with or without
diff --git a/interfaces/Prolog/YAP/ppl_interface_generator_yap_cc.m4 b/interfaces/Prolog/YAP/ppl_interface_generator_yap_cc.m4
index 5acee83..3141f40 100644
--- a/interfaces/Prolog/YAP/ppl_interface_generator_yap_cc.m4
+++ b/interfaces/Prolog/YAP/ppl_interface_generator_yap_cc.m4
@@ -3,7 +3,7 @@ m4_divert(-1)
dnl This m4 file generates the file ppl_yap.cc.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/YAP/ppl_prolog_sysdep.hh b/interfaces/Prolog/YAP/ppl_prolog_sysdep.hh
index d114c59..82b0ffb 100644
--- a/interfaces/Prolog/YAP/ppl_prolog_sysdep.hh
+++ b/interfaces/Prolog/YAP/ppl_prolog_sysdep.hh
@@ -1,6 +1,6 @@
/* System-dependent part of the Prolog interfaces: stub for YAP.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/YAP/ppl_yap.pl b/interfaces/Prolog/YAP/ppl_yap.pl
index e309bd5..9cfdcad 100644
--- a/interfaces/Prolog/YAP/ppl_yap.pl
+++ b/interfaces/Prolog/YAP/ppl_yap.pl
@@ -1,6 +1,6 @@
/* Loader for the YAP Prolog interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/YAP/yap_cfli.hh b/interfaces/Prolog/YAP/yap_cfli.hh
index 7730b7c..d0dbbc2 100644
--- a/interfaces/Prolog/YAP/yap_cfli.hh
+++ b/interfaces/Prolog/YAP/yap_cfli.hh
@@ -1,6 +1,6 @@
/* YAP Prolog Common Foreign Language Interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -128,7 +128,7 @@ Prolog_atom_from_string(const char* s) {
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1) {
+ Prolog_term_ref a1) {
YAP_Term args[1];
args[0] = a1;
t = YAP_MkApplTerm(YAP_MkFunctor(f, 1), 1, args);
@@ -141,7 +141,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2) {
+ Prolog_term_ref a1, Prolog_term_ref a2) {
YAP_Term args[2];
args[0] = a1;
args[1] = a2;
@@ -155,8 +155,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3) {
YAP_Term args[3];
args[0] = a1;
args[1] = a2;
@@ -171,8 +171,8 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
- Prolog_term_ref a1, Prolog_term_ref a2,
- Prolog_term_ref a3, Prolog_term_ref a4) {
+ Prolog_term_ref a1, Prolog_term_ref a2,
+ Prolog_term_ref a3, Prolog_term_ref a4) {
YAP_Term args[4];
args[0] = a1;
args[1] = a2;
@@ -187,7 +187,7 @@ Prolog_construct_compound(Prolog_term_ref& t, Prolog_atom f,
*/
inline int
Prolog_construct_cons(Prolog_term_ref& c,
- Prolog_term_ref h, Prolog_term_ref t) {
+ Prolog_term_ref h, Prolog_term_ref t) {
c = YAP_MkPairTerm(h, t);
return 1;
}
@@ -264,7 +264,7 @@ Prolog_get_long(Prolog_term_ref t, long* lp) {
}
YAP_BigNumOfTerm(t, tmp_mpz_t);
if (mpz_cmp_si(tmp_mpz_t, LONG_MIN) >= 0
- && mpz_cmp_si(tmp_mpz_t, LONG_MAX) <= 0)
+ && mpz_cmp_si(tmp_mpz_t, LONG_MAX) <= 0)
*lp = mpz_get_si(tmp_mpz_t);
else
return 0;
diff --git a/interfaces/Prolog/YAP/yap_clpq.pl b/interfaces/Prolog/YAP/yap_clpq.pl
index 30e142a..c72793c 100644
--- a/interfaces/Prolog/YAP/yap_clpq.pl
+++ b/interfaces/Prolog/YAP/yap_clpq.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the toy PPL/YAP-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/YAP/yap_clpq2.pl b/interfaces/Prolog/YAP/yap_clpq2.pl
index f150104..e582fe3 100644
--- a/interfaces/Prolog/YAP/yap_clpq2.pl
+++ b/interfaces/Prolog/YAP/yap_clpq2.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the 2nd toy PPL/YAP-Prolog CLP(Q) interpreter.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/YAP/yap_efli.cc b/interfaces/Prolog/YAP/yap_efli.cc
index 9277440..196f815 100644
--- a/interfaces/Prolog/YAP/yap_efli.cc
+++ b/interfaces/Prolog/YAP/yap_efli.cc
@@ -1,6 +1,6 @@
/* YAP extended foreign language interface: definitions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/YAP/yap_efli.hh b/interfaces/Prolog/YAP/yap_efli.hh
index b6dbba6..98fb20d 100644
--- a/interfaces/Prolog/YAP/yap_efli.hh
+++ b/interfaces/Prolog/YAP/yap_efli.hh
@@ -1,6 +1,6 @@
/* YAP extended foreign language interface: declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/Prolog/YAP/yap_pl_check.pl b/interfaces/Prolog/YAP/yap_pl_check.pl
index 302f807..40adbb8 100644
--- a/interfaces/Prolog/YAP/yap_pl_check.pl
+++ b/interfaces/Prolog/YAP/yap_pl_check.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the PPL/YAP-Prolog predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -28,8 +28,8 @@ prolog_system('YAP').
main :-
(check_all ->
- write('OK')
+ write('OK')
;
- write('FAILURE')
+ write('FAILURE')
),
nl.
diff --git a/interfaces/Prolog/YAP/yap_prolog_generated_test.pl b/interfaces/Prolog/YAP/yap_prolog_generated_test.pl
index 3bc6d01..af68b4b 100644
--- a/interfaces/Prolog/YAP/yap_prolog_generated_test.pl
+++ b/interfaces/Prolog/YAP/yap_prolog_generated_test.pl
@@ -1,6 +1,6 @@
/* Prolog main program for the PPL/YAP-Prolog predicate checker.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -29,8 +29,8 @@ prolog_system('YAP').
main :-
(check_all ->
- write('OK')
+ write('OK')
;
- write('FAILURE')
+ write('FAILURE')
),
nl.
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_cc_code.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_cc_code.m4
index a9d64f0..a7f739c 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_cc_code.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_cc_code.m4
@@ -6,7 +6,7 @@ files ppl_prolog_DOMAIN.cc for each interface domain DOMAIN
in ppl_interface instantiations.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -62,18 +62,18 @@ ppl_new_ at TOPOLOGY@@CLASS at _from_space_dimension(Prolog_term_ref t_nd,
m4_define(`ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND at _code',
`extern "C" Prolog_foreign_return_type
-ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND@(
- Prolog_term_ref t_ph_source, Prolog_term_ref t_ph)
+ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND@
+(Prolog_term_ref t_ph_source, Prolog_term_ref t_ph)
{
- static const char* where =
- "ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND@/2";
+ static const char* where
+ = "ppl_new_ at TOPOLOGY@@CLASS at _from_@FRIEND@/2";
try {
@TOPOLOGY@@CPP_CLASS@* ph;
- const @B_FRIEND@* ph_source
- = static_cast<const @B_FRIEND@*>
+ const @B_FRIEND@* const ph_source
+ = static_cast<const @B_FRIEND@*>
(term_to_handle<@B_FRIEND@ >(t_ph_source, where));
PPL_CHECK(ph_source);
- ph = new @TOPOLOGY@@CPP_CLASS@(*ph_source);
+ ph = new @TOPOLOGY@@CPP_CLASS@(*ph_source);
Prolog_term_ref tmp = Prolog_new_term_ref();
Prolog_put_address(tmp, ph);
if (Prolog_unify(t_ph, tmp)) {
@@ -217,7 +217,8 @@ m4_define(`ppl_ at CLASS@_get_ at CLASS_REPRESENT@s_code',
Prolog_term_ref t_glist) {
static const char* where = "ppl_ at CLASS@_get_ at CLASS_REPRESENT@s/2";
try {
- const @CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
+ const @CPP_CLASS@* const ph
+ = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
Prolog_term_ref tail = Prolog_new_term_ref();
@@ -241,7 +242,8 @@ m4_define(`ppl_ at CLASS@_get_minimized_ at CLASS_REPRESENT@s_code',
Prolog_term_ref t_glist) {
static const char* where = "ppl_ at CLASS@_get_minimized_ at CLASS_REPRESENT@s/2";
try {
- const @CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
+ const @CPP_CLASS@* const ph
+ = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
Prolog_term_ref tail = Prolog_new_term_ref();
@@ -703,7 +705,8 @@ m4_define(`ppl_ at CLASS@_ at HAS_PROPERTY@_code',
ppl_ at CLASS@_ at HAS_PROPERTY@(Prolog_term_ref t_ph) {
static const char* where = "ppl_ at CLASS@_ at HAS_PROPERTY@/1";
try {
- const @CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
+ const @CPP_CLASS@* const ph
+ = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
if (ph->@HAS_PROPERTY@())
return PROLOG_SUCCESS;
@@ -793,7 +796,7 @@ m4_define(`ppl_ at CLASS@_bounds_from_ at ABOVEBELOW@_code',
try {
@CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
- Linear_Expression l = build_linear_expression(t_expr, where);
+ const Linear_Expression l = build_linear_expression(t_expr, where);
if (ph->bounds_from_ at ABOVEBELOW@(l))
return PROLOG_SUCCESS;
}
@@ -838,7 +841,8 @@ m4_define(`ppl_ at CLASS@_ at MAXMIN@_code',
Prolog_term_ref t_maxmin) {
static const char* where = "ppl_ at CLASS@_ at MAXMIN@/5";
try {
- const @CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
+ const @CPP_CLASS@* const ph
+ = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
const Linear_Expression le = build_linear_expression(t_le_expr, where);
PPL_DIRTY_TEMP_COEFFICIENT(n);
@@ -846,7 +850,7 @@ m4_define(`ppl_ at CLASS@_ at MAXMIN@_code',
bool maxmin;
if (ph->@MAXMIN@(le, n, d, maxmin)) {
Prolog_term_ref t = Prolog_new_term_ref();
- Prolog_atom a = (maxmin ? a_true : a_false);
+ const Prolog_atom a = (maxmin ? a_true : a_false);
Prolog_put_atom(t, a);
if (Prolog_unify_Coefficient(t_n, n)
&& Prolog_unify_Coefficient(t_d, d)
@@ -860,14 +864,15 @@ m4_define(`ppl_ at CLASS@_ at MAXMIN@_code',
')
m4_define(`ppl_ at CLASS@_ at MAXMIN@_with_point_code',
- `extern "C" Prolog_foreign_return_type
- ppl_ at CLASS@_ at MAXMIN@_with_point(Prolog_term_ref t_ph,
- Prolog_term_ref t_le_expr,
- Prolog_term_ref t_n, Prolog_term_ref t_d,
- Prolog_term_ref t_maxmin, Prolog_term_ref t_g) {
+`extern "C" Prolog_foreign_return_type
+ppl_ at CLASS@_ at MAXMIN@_with_point
+(Prolog_term_ref t_ph,
+ Prolog_term_ref t_le_expr,
+ Prolog_term_ref t_n, Prolog_term_ref t_d,
+ Prolog_term_ref t_maxmin, Prolog_term_ref t_g) {
static const char* where = "ppl_ at CLASS@_ at MAXMIN@_with_point/6";
try {
- const @CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
+ const @CPP_CLASS@* const ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
const Linear_Expression le = build_linear_expression(t_le_expr, where);
PPL_DIRTY_TEMP_COEFFICIENT(n);
@@ -876,7 +881,7 @@ m4_define(`ppl_ at CLASS@_ at MAXMIN@_with_point_code',
Generator g(point());
if (ph->@MAXMIN@(le, n, d, maxmin, g)) {
Prolog_term_ref t = Prolog_new_term_ref();
- Prolog_atom a = (maxmin ? a_true : a_false);
+ const Prolog_atom a = (maxmin ? a_true : a_false);
Prolog_put_atom(t, a);
if (Prolog_unify_Coefficient(t_n, n)
&& Prolog_unify_Coefficient(t_d, d)
@@ -930,7 +935,7 @@ m4_define(`ppl_ at CLASS@_OK_code',
ppl_ at CLASS@_OK(Prolog_term_ref t_ph) {
static const char* where = "ppl_ at CLASS@_OK/1";
try {
- const @CPP_CLASS@* ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
+ const @CPP_CLASS@* const ph = term_to_handle<@CPP_CLASS@ >(t_ph, where);
PPL_CHECK(ph);
if (ph->OK())
return PROLOG_SUCCESS;
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_cc_files.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_cc_files.m4
index e57071b..8068595 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_cc_files.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_cc_files.m4
@@ -7,7 +7,7 @@ dnl in ppl_interface instantiations.m4 using the code in
dnl ppl_interface_generator_prolog_cc_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -47,7 +47,7 @@ m4_include(`ppl_interface_generator_copyright')`'dnl
*/
#include "ppl_prolog_sysdep.hh"
-#include "ppl_prolog_common.defs.hh"
+#include "ppl_prolog_common_defs.hh"
')
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_dox.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_dox.m4
index ca7f938..2d1523c 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_dox.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_dox.m4
@@ -4,7 +4,7 @@ m4_divert(-1)
dnl This m4 file generates the file Prolog_configured_domains.dox
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_dox_code.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_dox_code.m4
index 994e48e..fdc7c4b 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_dox_code.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_dox_code.m4
@@ -3,7 +3,7 @@ m4_divert(-1)
dnl This m4 file contains the program code for generating Prolog_interface.dox
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_hh_code.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_hh_code.m4
index 1183769..e0066fa 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_hh_code.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_hh_code.m4
@@ -6,7 +6,7 @@ dnl files ppl_prolog_DOMAIN.hh for each interface domain DOMAIN
dnl in ppl_interface instantiations.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_hh_files.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_hh_files.m4
index 256abc2..2212ad8 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_hh_files.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_hh_files.m4
@@ -7,7 +7,7 @@ dnl in ppl_interface instantiations.m4 using the code in
dnl ppl_interface_generator_prolog_hh_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -61,7 +61,7 @@ m4_undefine(`m4_current_interface')`'dnl
m4_divert`'dnl
-`#'include "ppl_prolog_common.defs.hh"`'dnl
+`#'include "ppl_prolog_common_defs.hh"`'dnl
dnl
dnl Generate the non-fixed part of the file.
m4_all_code`'dnl
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_procedure_generators.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_procedure_generators.m4
index 364335e..ed54e60 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_procedure_generators.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_procedure_generators.m4
@@ -7,7 +7,7 @@ dnl ppl_interface_generator_common_procedure_generators.m4;
dnl - the list of library predicates needed for the system dependent files.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/ppl_interface_generator_prolog_systems.m4 b/interfaces/Prolog/ppl_interface_generator_prolog_systems.m4
index 9329f14..eb7476c 100644
--- a/interfaces/Prolog/ppl_interface_generator_prolog_systems.m4
+++ b/interfaces/Prolog/ppl_interface_generator_prolog_systems.m4
@@ -5,7 +5,7 @@ dnl This m4 file defines macros needed for generating
dnl the Prolog system-dependent code files.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/ppl_prolog_common.cc b/interfaces/Prolog/ppl_prolog_common.cc
index 9ed2fd7..d0dc23f 100644
--- a/interfaces/Prolog/ppl_prolog_common.cc
+++ b/interfaces/Prolog/ppl_prolog_common.cc
@@ -1,6 +1,6 @@
/* Common part of the Prolog interfaces: variables and non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -21,7 +21,7 @@ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
-#include "ppl_prolog_common.defs.hh"
+#include "ppl_prolog_common_defs.hh"
#include <exception>
#include <stdexcept>
#include <sstream>
@@ -316,19 +316,19 @@ handle_exception(const Prolog_unsigned_out_of_range& e) {
Prolog_term_ref max = Prolog_new_term_ref();
Prolog_put_ulong(max, e.max());
Prolog_construct_compound(max,
- Prolog_atom_from_string("unsigned_integer"
- "_less_or_equal"),
- max);
+ Prolog_atom_from_string("unsigned_integer"
+ "_less_or_equal"),
+ max);
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected, max);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -339,15 +339,15 @@ handle_exception(const not_unsigned_integer& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected,
- Prolog_atom_term_from_string("unsigned_integer"));
+ Prolog_atom_term_from_string("unsigned_integer"));
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -358,16 +358,16 @@ handle_exception(const non_linear& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected,
- Prolog_atom_term_from_string
- ("linear_expression_or_constraint"));
+ Prolog_atom_term_from_string
+ ("linear_expression_or_constraint"));
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -375,20 +375,20 @@ void
handle_exception(const not_a_variable& e) {
Prolog_term_ref found = Prolog_new_term_ref();
Prolog_construct_compound(found, a_found,
- e.term());
+ e.term());
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected,
- Prolog_atom_term_from_string
- ("$VAR(unsigned_integer)"));
+ Prolog_atom_term_from_string
+ ("$VAR(unsigned_integer)"));
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -399,15 +399,15 @@ handle_exception(const not_an_integer& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected,
- Prolog_atom_term_from_string("integer"));
+ Prolog_atom_term_from_string("integer"));
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -418,15 +418,15 @@ handle_exception(const ppl_handle_mismatch& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected,
- Prolog_atom_term_from_string("handle"));
+ Prolog_atom_term_from_string("handle"));
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -438,17 +438,17 @@ handle_exception(const not_an_optimization_mode& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("max"), expected);
+ Prolog_atom_term_from_string("max"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("min"), expected);
+ Prolog_atom_term_from_string("min"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -460,19 +460,19 @@ handle_exception(const not_a_complexity_class& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("polynomial"), expected);
+ Prolog_atom_term_from_string("polynomial"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("simplex"), expected);
+ Prolog_atom_term_from_string("simplex"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("any"), expected);
+ Prolog_atom_term_from_string("any"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -484,14 +484,14 @@ void
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pricing"), expected);
+ Prolog_atom_term_from_string("pricing"), expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -503,21 +503,21 @@ void
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pricing_steepest_edge_float"),
+ Prolog_atom_term_from_string("pricing_steepest_edge_float"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pricing_steepest_edge_exact"),
+ Prolog_atom_term_from_string("pricing_steepest_edge_exact"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pricing_textbook"),
+ Prolog_atom_term_from_string("pricing_textbook"),
expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -529,18 +529,18 @@ void
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("cutting_strategy"),
+ Prolog_atom_term_from_string("cutting_strategy"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pivot_row_strategy"),
+ Prolog_atom_term_from_string("pivot_row_strategy"),
expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -552,26 +552,26 @@ void
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("cutting_strategy_first"),
+ Prolog_atom_term_from_string("cutting_strategy_first"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("cutting_strategy_deepest"),
+ Prolog_atom_term_from_string("cutting_strategy_deepest"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("cutting_strategy_all"),
+ Prolog_atom_term_from_string("cutting_strategy_all"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pivot_row_strategy_first"),
+ Prolog_atom_term_from_string("pivot_row_strategy_first"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("pivot_row_strategy_max_column"),
+ Prolog_atom_term_from_string("pivot_row_strategy_max_column"),
expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -583,17 +583,17 @@ handle_exception(const not_universe_or_empty& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("universe"), expected);
+ Prolog_atom_term_from_string("universe"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("empty"), expected);
+ Prolog_atom_term_from_string("empty"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -605,17 +605,17 @@ handle_exception(const not_a_boolean& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("true"), expected);
+ Prolog_atom_term_from_string("true"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("false"), expected);
+ Prolog_atom_term_from_string("false"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -627,23 +627,23 @@ handle_exception(const not_a_bounded_integer_type_width& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("bits_8"), expected);
+ Prolog_atom_term_from_string("bits_8"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("bits_16"), expected);
+ Prolog_atom_term_from_string("bits_16"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("bits_32"), expected);
+ Prolog_atom_term_from_string("bits_32"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("bits_64"), expected);
+ Prolog_atom_term_from_string("bits_64"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("bits_128"), expected);
+ Prolog_atom_term_from_string("bits_128"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -655,18 +655,18 @@ handle_exception(const not_a_bounded_integer_type_representation& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("unsigned"), expected);
+ Prolog_atom_term_from_string("unsigned"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("signed_2_complement"),
+ Prolog_atom_term_from_string("signed_2_complement"),
expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -678,22 +678,22 @@ handle_exception(const not_a_bounded_integer_type_overflow& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("overflow_wraps"),
+ Prolog_atom_term_from_string("overflow_wraps"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("overflow_undefined"),
+ Prolog_atom_term_from_string("overflow_undefined"),
expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("overflow_impossible"),
+ Prolog_atom_term_from_string("overflow_impossible"),
expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -705,23 +705,23 @@ handle_exception(const not_a_relation& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("="), expected);
+ Prolog_atom_term_from_string("="), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string(">="), expected);
+ Prolog_atom_term_from_string(">="), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("=<"), expected);
+ Prolog_atom_term_from_string("=<"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string(">"), expected);
+ Prolog_atom_term_from_string(">"), expected);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string("<"), expected);
+ Prolog_atom_term_from_string("<"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -733,16 +733,16 @@ handle_exception(const not_a_nil_terminated_list& e) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_put_atom(expected, a_nil);
Prolog_construct_cons(expected,
- Prolog_atom_term_from_string
+ Prolog_atom_term_from_string
("Prolog_list"), expected);
Prolog_construct_compound(expected, a_expected, expected);
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string(e.where()));
+ Prolog_atom_term_from_string(e.where()));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
}
@@ -750,15 +750,15 @@ void
handle_exception(const PPL_integer_out_of_range& e) {
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string("Coefficient_to_integer_term"));
+ Prolog_atom_term_from_string("Coefficient_to_integer_term"));
Prolog_term_ref exception_term = Prolog_new_term_ref();
std::ostringstream s;
s << e.value();
std::string str = s.str();
Prolog_construct_compound(exception_term, a_ppl_representation_error,
- Prolog_atom_term_from_string(str.c_str()),
- where);
+ Prolog_atom_term_from_string(str.c_str()),
+ where);
Prolog_raise_exception(exception_term);
}
@@ -773,7 +773,7 @@ void
handle_exception(const std::overflow_error& e) {
Prolog_term_ref et = Prolog_new_term_ref();
Prolog_construct_compound(et, a_ppl_overflow_error,
- Prolog_atom_term_from_string(e.what()));
+ Prolog_atom_term_from_string(e.what()));
Prolog_raise_exception(et);
}
@@ -781,7 +781,7 @@ void
handle_exception(const std::domain_error& e) {
Prolog_term_ref et = Prolog_new_term_ref();
Prolog_construct_compound(et, a_ppl_domain_error,
- Prolog_atom_term_from_string(e.what()));
+ Prolog_atom_term_from_string(e.what()));
Prolog_raise_exception(et);
}
@@ -789,7 +789,7 @@ void
handle_exception(const std::length_error& e) {
Prolog_term_ref et = Prolog_new_term_ref();
Prolog_construct_compound(et, a_ppl_length_error,
- Prolog_atom_term_from_string(e.what()));
+ Prolog_atom_term_from_string(e.what()));
Prolog_raise_exception(et);
}
@@ -797,7 +797,7 @@ void
handle_exception(const std::invalid_argument& e) {
Prolog_term_ref et = Prolog_new_term_ref();
Prolog_construct_compound(et, a_ppl_invalid_argument,
- Prolog_atom_term_from_string(e.what()));
+ Prolog_atom_term_from_string(e.what()));
Prolog_raise_exception(et);
}
@@ -805,7 +805,7 @@ void
handle_exception(const std::logic_error& e) {
Prolog_term_ref et = Prolog_new_term_ref();
Prolog_construct_compound(et, a_ppl_logic_error,
- Prolog_atom_term_from_string(e.what()));
+ Prolog_atom_term_from_string(e.what()));
Prolog_raise_exception(et);
}
@@ -890,7 +890,7 @@ term_to_boolean(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_true || name == a_false))
+ && (name == a_true || name == a_false))
return name;
}
throw not_a_boolean(t, where);
@@ -901,7 +901,7 @@ term_to_universe_or_empty(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_universe || name == a_empty))
+ && (name == a_universe || name == a_empty))
return name;
}
throw not_universe_or_empty(t, where);
@@ -947,53 +947,53 @@ build_linear_expression(Prolog_term_ref t, const char* where) {
switch (arity) {
case 1:
{
- Prolog_term_ref arg = Prolog_new_term_ref();
- Prolog_get_arg(1, t, arg);
- if (functor == a_minus)
- // Unary minus.
- return -build_linear_expression(arg, where);
- else if (functor == a_dollar_VAR)
- // Variable.
- return Variable(term_to_unsigned<dimension_type>(arg, where));
+ Prolog_term_ref arg = Prolog_new_term_ref();
+ Prolog_get_arg(1, t, arg);
+ if (functor == a_minus)
+ // Unary minus.
+ return -build_linear_expression(arg, where);
+ else if (functor == a_dollar_VAR)
+ // Variable.
+ return Variable(term_to_unsigned<dimension_type>(arg, where));
}
break;
case 2:
{
- Prolog_term_ref arg1 = Prolog_new_term_ref();
- Prolog_term_ref arg2 = Prolog_new_term_ref();
- Prolog_get_arg(1, t, arg1);
- Prolog_get_arg(2, t, arg2);
- if (functor == a_plus)
- // Plus.
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- + build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- + integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- + build_linear_expression(arg2, where);
- else if (functor == a_minus)
- // Minus.
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- - build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- - integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- - build_linear_expression(arg2, where);
- else if (functor == a_asterisk) {
- // Times.
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- * build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- * integer_term_to_Coefficient(arg2);
- }
+ Prolog_term_ref arg1 = Prolog_new_term_ref();
+ Prolog_term_ref arg2 = Prolog_new_term_ref();
+ Prolog_get_arg(1, t, arg1);
+ Prolog_get_arg(2, t, arg2);
+ if (functor == a_plus)
+ // Plus.
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ + build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ + integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ + build_linear_expression(arg2, where);
+ else if (functor == a_minus)
+ // Minus.
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ - build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ - integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ - build_linear_expression(arg2, where);
+ else if (functor == a_asterisk) {
+ // Times.
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ * build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ * integer_term_to_Coefficient(arg2);
+ }
}
}
}
@@ -1013,60 +1013,60 @@ build_constraint(Prolog_term_ref t, const char* where) {
Prolog_get_arg(1, t, arg1);
Prolog_get_arg(2, t, arg2);
if (functor == a_equal)
- // =
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- == build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- == integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- == build_linear_expression(arg2, where);
+ // =
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ == build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ == integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ == build_linear_expression(arg2, where);
else if (functor == a_equal_less_than)
- // =<
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- <= build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- <= integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- <= build_linear_expression(arg2, where);
+ // =<
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ <= build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ <= integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ <= build_linear_expression(arg2, where);
else if (functor == a_greater_than_equal)
- // >=
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- >= build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- >= integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- >= build_linear_expression(arg2, where);
+ // >=
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ >= build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ >= integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ >= build_linear_expression(arg2, where);
else if (functor == a_less_than)
- // <
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- < build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- < integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- < build_linear_expression(arg2, where);
+ // <
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ < build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ < integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ < build_linear_expression(arg2, where);
else if (functor == a_greater_than) {
- // >
- if (Prolog_is_integer(arg1))
- return integer_term_to_Coefficient(arg1)
- > build_linear_expression(arg2, where);
- else if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- > integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- > build_linear_expression(arg2, where);
+ // >
+ if (Prolog_is_integer(arg1))
+ return integer_term_to_Coefficient(arg1)
+ > build_linear_expression(arg2, where);
+ else if (Prolog_is_integer(arg2))
+ return build_linear_expression(arg1, where)
+ > integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ > build_linear_expression(arg2, where);
}
}
}
@@ -1087,51 +1087,51 @@ build_congruence(Prolog_term_ref t, const char* where) {
Prolog_get_arg(2, t, arg2);
if (functor == a_modulo) {
// /
- if (Prolog_is_integer(arg2)) {
+ if (Prolog_is_integer(arg2)) {
Prolog_atom functor1;
int arity1;
Prolog_get_compound_name_arity(arg1, &functor1, &arity1);
if (arity1 == 2) {
if (functor1 == a_is_congruent_to) {
- // =:=
+ // =:=
Prolog_term_ref arg11 = Prolog_new_term_ref();
Prolog_term_ref arg12 = Prolog_new_term_ref();
Prolog_get_arg(1, arg1, arg11);
Prolog_get_arg(2, arg1, arg12);
if (Prolog_is_integer(arg12))
- return (build_linear_expression(arg11, where)
- %= integer_term_to_Coefficient(arg12))
- / integer_term_to_Coefficient(arg2);
- else
- return (build_linear_expression(arg11, where)
- %= build_linear_expression(arg12, where))
- / integer_term_to_Coefficient(arg2);
- }
- }
- }
+ return (build_linear_expression(arg11, where)
+ %= integer_term_to_Coefficient(arg12))
+ / integer_term_to_Coefficient(arg2);
+ else
+ return (build_linear_expression(arg11, where)
+ %= build_linear_expression(arg12, where))
+ / integer_term_to_Coefficient(arg2);
+ }
+ }
+ }
}
else
if (functor == a_is_congruent_to)
- // =:=
+ // =:=
if (Prolog_is_integer(arg2))
- return build_linear_expression(arg1, where)
- %= integer_term_to_Coefficient(arg2);
- else
- return build_linear_expression(arg1, where)
- %= build_linear_expression(arg2, where);
- else
+ return build_linear_expression(arg1, where)
+ %= integer_term_to_Coefficient(arg2);
+ else
+ return build_linear_expression(arg1, where)
+ %= build_linear_expression(arg2, where);
+ else
if (functor == a_equal) {
- // =
- if (Prolog_is_integer(arg1))
- return (build_linear_expression(arg2, where)
- %= integer_term_to_Coefficient(arg1)) / 0;
- else if (Prolog_is_integer(arg2))
- return (build_linear_expression(arg1, where)
- %= integer_term_to_Coefficient(arg2)) / 0;
- else
- return (build_linear_expression(arg1, where)
- %= build_linear_expression(arg2, where)) / 0;
- }
+ // =
+ if (Prolog_is_integer(arg1))
+ return (build_linear_expression(arg2, where)
+ %= integer_term_to_Coefficient(arg1)) / 0;
+ else if (Prolog_is_integer(arg2))
+ return (build_linear_expression(arg1, where)
+ %= integer_term_to_Coefficient(arg2)) / 0;
+ else
+ return (build_linear_expression(arg1, where)
+ %= build_linear_expression(arg2, where)) / 0;
+ }
}
}
// Invalid.
@@ -1148,13 +1148,13 @@ build_generator(Prolog_term_ref t, const char* where) {
Prolog_term_ref arg = Prolog_new_term_ref();
Prolog_get_arg(1, t, arg);
if (functor == a_line)
- return Generator::line(build_linear_expression(arg, where));
+ return Generator::line(build_linear_expression(arg, where));
else if (functor == a_ray)
- return Generator::ray(build_linear_expression(arg, where));
+ return Generator::ray(build_linear_expression(arg, where));
else if (functor == a_point)
- return Generator::point(build_linear_expression(arg, where));
+ return Generator::point(build_linear_expression(arg, where));
else if (functor == a_closure_point)
- return Generator::closure_point(build_linear_expression(arg, where));
+ return Generator::closure_point(build_linear_expression(arg, where));
}
else if (arity == 2) {
Prolog_term_ref arg1 = Prolog_new_term_ref();
@@ -1163,11 +1163,11 @@ build_generator(Prolog_term_ref t, const char* where) {
Prolog_get_arg(2, t, arg2);
if (Prolog_is_integer(arg2)) {
if (functor == a_point)
- return Generator::point(build_linear_expression(arg1, where),
- integer_term_to_Coefficient(arg2));
+ return Generator::point(build_linear_expression(arg1, where),
+ integer_term_to_Coefficient(arg2));
else if (functor == a_closure_point)
- return Generator::closure_point(build_linear_expression(arg1, where),
- integer_term_to_Coefficient(arg2));
+ return Generator::closure_point(build_linear_expression(arg1, where),
+ integer_term_to_Coefficient(arg2));
}
}
}
@@ -1185,11 +1185,11 @@ build_grid_generator(Prolog_term_ref t, const char* where) {
Prolog_term_ref arg = Prolog_new_term_ref();
Prolog_get_arg(1, t, arg);
if (functor == a_grid_line)
- return Grid_Generator::grid_line(build_linear_expression(arg, where));
+ return Grid_Generator::grid_line(build_linear_expression(arg, where));
else if (functor == a_parameter)
- return Grid_Generator::parameter(build_linear_expression(arg, where));
+ return Grid_Generator::parameter(build_linear_expression(arg, where));
else if (functor == a_grid_point)
- return Grid_Generator::grid_point(build_linear_expression(arg, where));
+ return Grid_Generator::grid_point(build_linear_expression(arg, where));
}
else if (arity == 2) {
Prolog_term_ref arg1 = Prolog_new_term_ref();
@@ -1198,13 +1198,13 @@ build_grid_generator(Prolog_term_ref t, const char* where) {
Prolog_get_arg(2, t, arg2);
if (Prolog_is_integer(arg2)) {
if (functor == a_grid_point)
- return Grid_Generator::grid_point(build_linear_expression(arg1,
- where),
- integer_term_to_Coefficient(arg2));
+ return Grid_Generator::grid_point(build_linear_expression(arg1,
+ where),
+ integer_term_to_Coefficient(arg2));
else if (functor == a_parameter)
- return Grid_Generator::parameter(build_linear_expression(arg1,
- where),
- integer_term_to_Coefficient(arg2));
+ return Grid_Generator::parameter(build_linear_expression(arg1,
+ where),
+ integer_term_to_Coefficient(arg2));
}
}
}
@@ -1220,31 +1220,31 @@ get_homogeneous_expression(const R& r) {
dimension_type varid = 0;
dimension_type space_dimension = r.space_dimension();
while (varid < space_dimension
- && (coefficient = r.coefficient(Variable(varid))) == 0)
+ && (coefficient = r.coefficient(Variable(varid))) == 0)
++varid;
if (varid >= space_dimension) {
Prolog_put_long(so_far, 0);
}
else {
Prolog_construct_compound(so_far, a_asterisk,
- Coefficient_to_integer_term(coefficient),
- variable_term(varid));
+ Coefficient_to_integer_term(coefficient),
+ variable_term(varid));
while (true) {
++varid;
while (varid < space_dimension
- && (coefficient = r.coefficient(Variable(varid))) == 0)
- ++varid;
+ && (coefficient = r.coefficient(Variable(varid))) == 0)
+ ++varid;
if (varid >= space_dimension)
- break;
+ break;
else {
- Prolog_term_ref addendum = Prolog_new_term_ref();
- Prolog_construct_compound(addendum, a_asterisk,
- Coefficient_to_integer_term(coefficient),
- variable_term(varid));
- Prolog_term_ref new_so_far = Prolog_new_term_ref();
- Prolog_construct_compound(new_so_far, a_plus,
- so_far, addendum);
- so_far = new_so_far;
+ Prolog_term_ref addendum = Prolog_new_term_ref();
+ Prolog_construct_compound(addendum, a_asterisk,
+ Coefficient_to_integer_term(coefficient),
+ variable_term(varid));
+ Prolog_term_ref new_so_far = Prolog_new_term_ref();
+ Prolog_construct_compound(new_so_far, a_plus,
+ so_far, addendum);
+ so_far = new_so_far;
}
}
}
@@ -1329,12 +1329,12 @@ generator_term(const Generator& g) {
constructor = a_point;
const Coefficient& divisor = g.divisor();
if (divisor == 1)
- break;
+ break;
else {
- Prolog_construct_compound(t, constructor,
- get_homogeneous_expression(g),
- Coefficient_to_integer_term(divisor));
- return t;
+ Prolog_construct_compound(t, constructor,
+ get_homogeneous_expression(g),
+ Coefficient_to_integer_term(divisor));
+ return t;
}
}
case Generator::CLOSURE_POINT:
@@ -1342,12 +1342,12 @@ generator_term(const Generator& g) {
constructor = a_closure_point;
const Coefficient& divisor = g.divisor();
if (divisor == 1)
- break;
+ break;
else {
- Prolog_construct_compound(t, constructor,
- get_homogeneous_expression(g),
- Coefficient_to_integer_term(divisor));
- return t;
+ Prolog_construct_compound(t, constructor,
+ get_homogeneous_expression(g),
+ Coefficient_to_integer_term(divisor));
+ return t;
}
}
default:
@@ -1370,12 +1370,12 @@ grid_generator_term(const Grid_Generator& g) {
constructor = a_parameter;
const Coefficient& divisor = g.divisor();
if (divisor == 1)
- break;
+ break;
else {
- Prolog_construct_compound(t, constructor,
- get_homogeneous_expression(g),
- Coefficient_to_integer_term(divisor));
- return t;
+ Prolog_construct_compound(t, constructor,
+ get_homogeneous_expression(g),
+ Coefficient_to_integer_term(divisor));
+ return t;
}
}
case Grid_Generator::POINT:
@@ -1383,12 +1383,12 @@ grid_generator_term(const Grid_Generator& g) {
constructor = a_grid_point;
const Coefficient& divisor = g.divisor();
if (divisor == 1)
- break;
+ break;
else {
- Prolog_construct_compound(t, constructor,
- get_homogeneous_expression(g),
- Coefficient_to_integer_term(divisor));
- return t;
+ Prolog_construct_compound(t, constructor,
+ get_homogeneous_expression(g),
+ Coefficient_to_integer_term(divisor));
+ return t;
}
}
default:
@@ -1417,7 +1417,7 @@ term_to_Variable(Prolog_term_ref t, const char* where) {
Prolog_term_ref arg = Prolog_new_term_ref();
Prolog_get_arg(1, t, arg);
return
- Variable(term_to_unsigned<dimension_type>(arg, "term_to_Variable"));
+ Variable(term_to_unsigned<dimension_type>(arg, "term_to_Variable"));
}
}
throw not_a_variable(t, where);
@@ -1436,7 +1436,7 @@ term_to_bounded_integer_type_width(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_bits_8 || name == a_bits_16
+ && (name == a_bits_8 || name == a_bits_16
|| name == a_bits_32 || name == a_bits_64
|| name == a_bits_128))
return name;
@@ -1450,7 +1450,7 @@ term_to_bounded_integer_type_representation(Prolog_term_ref t,
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_unsigned || name == a_signed_2_complement))
+ && (name == a_unsigned || name == a_signed_2_complement))
return name;
}
throw not_a_bounded_integer_type_representation(t, where);
@@ -1462,7 +1462,7 @@ term_to_bounded_integer_type_overflow(Prolog_term_ref t,
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_overflow_wraps
+ && (name == a_overflow_wraps
|| name == a_overflow_undefined
|| name == a_overflow_impossible))
return name;
@@ -1475,7 +1475,7 @@ term_to_optimization_mode(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_max || name == a_min))
+ && (name == a_max || name == a_min))
return name;
}
throw not_an_optimization_mode(t, where);
@@ -1486,7 +1486,7 @@ term_to_control_parameter_name(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_pricing || name == a_cutting_strategy))
+ && (name == a_pricing || name == a_cutting_strategy))
return name;
}
throw not_a_control_parameter_name(t, where);
@@ -1497,7 +1497,7 @@ term_to_pip_problem_control_parameter_name(Prolog_term_ref t, const char* where)
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_cutting_strategy || name == a_pivot_row_strategy))
+ && (name == a_cutting_strategy || name == a_pivot_row_strategy))
return name;
}
throw not_a_pip_problem_control_parameter_name(t, where);
@@ -1508,7 +1508,7 @@ term_to_control_parameter_value(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_pricing_steepest_edge_float
+ && (name == a_pricing_steepest_edge_float
|| name == a_pricing_steepest_edge_exact
|| name == a_pricing_textbook
|| name == a_cutting_strategy_first
@@ -1524,7 +1524,7 @@ term_to_pip_problem_control_parameter_value(Prolog_term_ref t,
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_cutting_strategy_first
+ && (name == a_cutting_strategy_first
|| name == a_cutting_strategy_deepest
|| name == a_cutting_strategy_all
|| name == a_pivot_row_strategy_first
@@ -1557,8 +1557,8 @@ max_representable_dimension(dimension_type d) {
bool
term_to_boundary(Prolog_term_ref t_b, Boundary_Kind kind,
- bool& finite, bool& closed,
- Coefficient& n, Coefficient& d) {
+ bool& finite, bool& closed,
+ Coefficient& n, Coefficient& d) {
if (!Prolog_is_compound(t_b))
return false;
@@ -1621,11 +1621,11 @@ term_to_relation(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_equal
- || name == a_greater_than_equal
- || name == a_equal_less_than
- || name == a_greater_than
- || name == a_less_than))
+ && (name == a_equal
+ || name == a_greater_than_equal
+ || name == a_equal_less_than
+ || name == a_greater_than
+ || name == a_less_than))
return name;
}
throw not_a_relation(t, where);
@@ -1661,8 +1661,8 @@ rational_term(const Rational_Box::interval_type::boundary_type& q) {
Prolog_put_Coefficient(t, numerator);
else
Prolog_construct_compound(t, a_slash,
- Coefficient_to_integer_term(numerator),
- Coefficient_to_integer_term(denominator));
+ Coefficient_to_integer_term(numerator),
+ Coefficient_to_integer_term(denominator));
return t;
}
@@ -1702,7 +1702,7 @@ term_to_complexity_class(Prolog_term_ref t, const char* where) {
if (Prolog_is_atom(t)) {
Prolog_atom name;
if (Prolog_get_atom_name(t, &name)
- && (name == a_polynomial || name == a_simplex || name == a_any))
+ && (name == a_polynomial || name == a_simplex || name == a_any))
return name;
}
throw not_a_complexity_class(t, where);
@@ -1864,8 +1864,8 @@ ppl_set_timeout_exception_atom(Prolog_term_ref t_tea) {
if (Prolog_is_atom(t_tea)) {
Prolog_atom tea;
if (Prolog_get_atom_name(t_tea, &tea)) {
- timeout_exception_atom = tea;
- return PROLOG_SUCCESS;
+ timeout_exception_atom = tea;
+ return PROLOG_SUCCESS;
}
}
Prolog_term_ref found = Prolog_new_term_ref();
@@ -1873,16 +1873,16 @@ ppl_set_timeout_exception_atom(Prolog_term_ref t_tea) {
Prolog_term_ref expected = Prolog_new_term_ref();
Prolog_construct_compound(expected, a_expected,
- Prolog_atom_term_from_string("atom"));
+ Prolog_atom_term_from_string("atom"));
Prolog_term_ref where = Prolog_new_term_ref();
Prolog_construct_compound(where, a_where,
- Prolog_atom_term_from_string
- ("ppl_set_timeout_exception_atom"));
+ Prolog_atom_term_from_string
+ ("ppl_set_timeout_exception_atom"));
Prolog_term_ref exception_term = Prolog_new_term_ref();
Prolog_construct_compound(exception_term, a_ppl_invalid_argument,
- found, expected, where);
+ found, expected, where);
Prolog_raise_exception(exception_term);
return PROLOG_FAILURE;
}
@@ -1979,9 +1979,9 @@ ppl_Coefficient_min(Prolog_term_ref t_min) {
PPL_DIRTY_TEMP_COEFFICIENT(min);
min = std::numeric_limits<Coefficient>::min();
if (Prolog_has_unbounded_integers
- || (min >= Prolog_min_integer && min <= Prolog_min_integer))
- return Prolog_unify_Coefficient(t_min, min)
- ? PROLOG_SUCCESS : PROLOG_FAILURE;
+ || (min >= Prolog_min_integer && min <= Prolog_min_integer))
+ return Prolog_unify_Coefficient(t_min, min)
+ ? PROLOG_SUCCESS : PROLOG_FAILURE;
}
}
CATCH_ALL;
@@ -1994,9 +1994,9 @@ ppl_Coefficient_max(Prolog_term_ref t_max) {
PPL_DIRTY_TEMP_COEFFICIENT(max);
max = std::numeric_limits<Coefficient>::max();
if (Prolog_has_unbounded_integers
- || (max >= Prolog_min_integer && max <= Prolog_min_integer))
- return Prolog_unify_Coefficient(t_max, max)
- ? PROLOG_SUCCESS : PROLOG_FAILURE;
+ || (max >= Prolog_min_integer && max <= Prolog_min_integer))
+ return Prolog_unify_Coefficient(t_max, max)
+ ? PROLOG_SUCCESS : PROLOG_FAILURE;
}
}
CATCH_ALL;
@@ -2023,10 +2023,10 @@ ppl_new_MIP_Problem_from_space_dimension
extern "C" Prolog_foreign_return_type
ppl_new_MIP_Problem(Prolog_term_ref t_nd,
- Prolog_term_ref t_clist,
- Prolog_term_ref t_le_expr,
- Prolog_term_ref t_opt,
- Prolog_term_ref t_mip) {
+ Prolog_term_ref t_clist,
+ Prolog_term_ref t_le_expr,
+ Prolog_term_ref t_opt,
+ Prolog_term_ref t_mip) {
static const char* where = "ppl_new_MIP_Problem/5";
try {
Constraint_System cs;
@@ -2044,7 +2044,7 @@ ppl_new_MIP_Problem(Prolog_term_ref t_nd,
MIP_Problem* mip
= new MIP_Problem(term_to_unsigned<dimension_type>(t_nd, where),
- cs, le, mode);
+ cs, le, mode);
Prolog_term_ref tmp = Prolog_new_term_ref();
Prolog_put_address(tmp, mip);
if (Prolog_unify(t_mip, tmp)) {
@@ -2059,7 +2059,7 @@ ppl_new_MIP_Problem(Prolog_term_ref t_nd,
extern "C" Prolog_foreign_return_type
ppl_new_MIP_Problem_from_MIP_Problem(Prolog_term_ref t_mip_source,
- Prolog_term_ref t_mip) {
+ Prolog_term_ref t_mip) {
static const char* where = "ppl_new_MIP_Problem_from_MIP_Problem/2";
try {
const MIP_Problem* mip_source
@@ -2119,7 +2119,7 @@ ppl_MIP_Problem_space_dimension(Prolog_term_ref t_mip, Prolog_term_ref t_sd) {
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_integer_space_dimensions(Prolog_term_ref t_mip,
- Prolog_term_ref t_vlist) {
+ Prolog_term_ref t_vlist) {
static const char* where = "ppl_MIP_Problem_integer_space_dimensions/2";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2130,7 +2130,7 @@ ppl_MIP_Problem_integer_space_dimensions(Prolog_term_ref t_mip,
const Variables_Set& i_vars = mip->integer_space_dimensions();
for (Variables_Set::const_iterator i = i_vars.begin(),
- i_end = i_vars.end(); i != i_end; ++i)
+ i_end = i_vars.end(); i != i_end; ++i)
Prolog_construct_cons(tail, variable_term(*i), tail);
if (Prolog_unify(t_vlist, tail))
@@ -2141,7 +2141,7 @@ ppl_MIP_Problem_integer_space_dimensions(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_constraints(Prolog_term_ref t_mip,
- Prolog_term_ref t_clist) {
+ Prolog_term_ref t_clist) {
static const char* where = "ppl_MIP_Problem_constraints/2";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2150,7 +2150,7 @@ ppl_MIP_Problem_constraints(Prolog_term_ref t_mip,
Prolog_term_ref tail = Prolog_new_term_ref();
Prolog_put_atom(tail, a_nil);
for (MIP_Problem::const_iterator i = mip->constraints_begin(),
- i_end = mip->constraints_end(); i != i_end; ++i)
+ i_end = mip->constraints_end(); i != i_end; ++i)
Prolog_construct_cons(tail, constraint_term(*i), tail);
if (Prolog_unify(t_clist, tail))
@@ -2161,7 +2161,7 @@ ppl_MIP_Problem_constraints(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_objective_function(Prolog_term_ref t_mip,
- Prolog_term_ref t_le_expr) {
+ Prolog_term_ref t_le_expr) {
static const char* where = "ppl_MIP_Problem_objective_function/2";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2178,7 +2178,7 @@ ppl_MIP_Problem_objective_function(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_optimization_mode(Prolog_term_ref t_mip,
- Prolog_term_ref t_opt) {
+ Prolog_term_ref t_opt) {
static const char* where = "ppl_MIP_Problem_optimization_mode/2";
try {
MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2223,7 +2223,7 @@ ppl_MIP_Problem_add_space_dimensions_and_embed
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_add_to_integer_space_dimensions(Prolog_term_ref t_mip,
- Prolog_term_ref t_vlist) {
+ Prolog_term_ref t_vlist) {
static const char* where
= "ppl_MIP_Problem_add_to_integer_space_dimensions/2";
try {
@@ -2260,7 +2260,7 @@ ppl_MIP_Problem_add_constraint(Prolog_term_ref t_mip, Prolog_term_ref t_c) {
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_add_constraints(Prolog_term_ref t_mip,
- Prolog_term_ref t_clist) {
+ Prolog_term_ref t_clist) {
static const char* where = "ppl_MIP_Problem_add_constraints/2";
try {
MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2284,7 +2284,7 @@ ppl_MIP_Problem_add_constraints(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_set_objective_function(Prolog_term_ref t_mip,
- Prolog_term_ref t_le_expr) {
+ Prolog_term_ref t_le_expr) {
static const char* where = "ppl_MIP_Problem_set_objective_function/2";
try {
MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2297,7 +2297,7 @@ ppl_MIP_Problem_set_objective_function(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_set_optimization_mode(Prolog_term_ref t_mip,
- Prolog_term_ref t_opt) {
+ Prolog_term_ref t_opt) {
static const char* where = "ppl_MIP_Problem_set_optimization_mode/2";
try {
MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2313,7 +2313,7 @@ ppl_MIP_Problem_set_optimization_mode(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_set_control_parameter(Prolog_term_ref t_mip,
- Prolog_term_ref t_cp_value) {
+ Prolog_term_ref t_cp_value) {
static const char* where = "ppl_MIP_Problem_set_control_parameter/2";
try {
MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2413,7 +2413,7 @@ ppl_MIP_Problem_solve(Prolog_term_ref t_mip, Prolog_term_ref t_status) {
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_feasible_point(Prolog_term_ref t_mip,
- Prolog_term_ref t_g) {
+ Prolog_term_ref t_g) {
static const char* where = "ppl_MIP_Problem_feasible_point/2";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2427,7 +2427,7 @@ ppl_MIP_Problem_feasible_point(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_optimizing_point(Prolog_term_ref t_mip,
- Prolog_term_ref t_g) {
+ Prolog_term_ref t_g) {
static const char* where = "ppl_MIP_Problem_optimizing_point/2";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2441,8 +2441,8 @@ ppl_MIP_Problem_optimizing_point(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_optimal_value(Prolog_term_ref t_mip,
- Prolog_term_ref t_n,
- Prolog_term_ref t_d) {
+ Prolog_term_ref t_n,
+ Prolog_term_ref t_d) {
static const char* where = "ppl_MIP_Problem_optimal_value/3";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2451,7 +2451,7 @@ ppl_MIP_Problem_optimal_value(Prolog_term_ref t_mip,
PPL_DIRTY_TEMP_COEFFICIENT(d);
mip->optimal_value(n, d);
if (Prolog_unify_Coefficient(t_n, n)
- && Prolog_unify_Coefficient(t_d, d))
+ && Prolog_unify_Coefficient(t_d, d))
return PROLOG_SUCCESS;
}
CATCH_ALL;
@@ -2459,9 +2459,9 @@ ppl_MIP_Problem_optimal_value(Prolog_term_ref t_mip,
extern "C" Prolog_foreign_return_type
ppl_MIP_Problem_evaluate_objective_function(Prolog_term_ref t_mip,
- Prolog_term_ref t_g,
- Prolog_term_ref t_n,
- Prolog_term_ref t_d) {
+ Prolog_term_ref t_g,
+ Prolog_term_ref t_n,
+ Prolog_term_ref t_d) {
static const char* where = "ppl_MIP_Problem_evaluate_objective_function/4";
try {
const MIP_Problem* mip = term_to_handle<MIP_Problem>(t_mip, where);
@@ -2470,7 +2470,7 @@ ppl_MIP_Problem_evaluate_objective_function(Prolog_term_ref t_mip,
PPL_DIRTY_TEMP_COEFFICIENT(d);
mip->evaluate_objective_function(build_generator(t_g, where), n, d);
if (Prolog_unify_Coefficient(t_n, n)
- && Prolog_unify_Coefficient(t_d, d))
+ && Prolog_unify_Coefficient(t_d, d))
return PROLOG_SUCCESS;
}
CATCH_ALL;
@@ -2560,7 +2560,7 @@ ppl_new_PIP_Problem(Prolog_term_ref t_dim,
extern "C" Prolog_foreign_return_type
ppl_new_PIP_Problem_from_PIP_Problem(Prolog_term_ref t_pip_source,
- Prolog_term_ref t_pip) {
+ Prolog_term_ref t_pip) {
static const char* where = "ppl_new_PIP_Problem_from_PIP_Problem/2";
try {
const PIP_Problem* pip_source
@@ -2631,7 +2631,7 @@ ppl_PIP_Problem_parameter_space_dimensions(Prolog_term_ref t_pip,
const Variables_Set& params = pip->parameter_space_dimensions();
for (Variables_Set::const_iterator i = params.begin(),
- i_end = params.end(); i != i_end; ++i)
+ i_end = params.end(); i != i_end; ++i)
Prolog_construct_cons(tail, variable_term(*i), tail);
if (Prolog_unify(t_vlist, tail))
@@ -2642,7 +2642,7 @@ ppl_PIP_Problem_parameter_space_dimensions(Prolog_term_ref t_pip,
extern "C" Prolog_foreign_return_type
ppl_PIP_Problem_constraints(Prolog_term_ref t_pip,
- Prolog_term_ref t_clist) {
+ Prolog_term_ref t_clist) {
static const char* where = "ppl_PIP_Problem_constraints/2";
try {
const PIP_Problem* pip = term_to_handle<PIP_Problem>(t_pip, where);
@@ -2651,7 +2651,7 @@ ppl_PIP_Problem_constraints(Prolog_term_ref t_pip,
Prolog_term_ref tail = Prolog_new_term_ref();
Prolog_put_atom(tail, a_nil);
for (PIP_Problem::const_iterator i = pip->constraints_begin(),
- i_end = pip->constraints_end(); i != i_end; ++i)
+ i_end = pip->constraints_end(); i != i_end; ++i)
Prolog_construct_cons(tail, constraint_term(*i), tail);
if (Prolog_unify(t_clist, tail))
@@ -2729,7 +2729,7 @@ ppl_PIP_Problem_add_constraint(Prolog_term_ref t_pip, Prolog_term_ref t_c) {
extern "C" Prolog_foreign_return_type
ppl_PIP_Problem_add_constraints(Prolog_term_ref t_pip,
- Prolog_term_ref t_clist) {
+ Prolog_term_ref t_clist) {
static const char* where = "ppl_PIP_Problem_add_constraints/2";
try {
PIP_Problem* pip = term_to_handle<PIP_Problem>(t_pip, where);
@@ -2808,7 +2808,7 @@ ppl_PIP_Problem_get_control_parameter(Prolog_term_ref t_pip,
extern "C" Prolog_foreign_return_type
ppl_PIP_Problem_set_control_parameter(Prolog_term_ref t_pip,
- Prolog_term_ref t_cp_value) {
+ Prolog_term_ref t_cp_value) {
static const char* where = "ppl_PIP_Problem_set_control_parameter/2";
try {
PIP_Problem* pip = term_to_handle<PIP_Problem>(t_pip, where);
@@ -2962,7 +2962,7 @@ ppl_PIP_Problem_ascii_dump(Prolog_term_ref t_pip) {
extern "C" Prolog_foreign_return_type
ppl_PIP_Tree_Node_constraints(Prolog_term_ref t_pip,
- Prolog_term_ref t_cs) {
+ Prolog_term_ref t_cs) {
static const char* where = "ppl_PIP_Tree_Node_constraints/2";
try {
const PIP_Tree_Node* pip = term_to_handle<PIP_Tree_Node>(t_pip, where);
@@ -3048,8 +3048,8 @@ ppl_PIP_Tree_Node_artificials(Prolog_term_ref t_tree_node,
extern "C" Prolog_foreign_return_type
ppl_PIP_Tree_Node_parametric_values(Prolog_term_ref t_pip,
- Prolog_term_ref t_var,
- Prolog_term_ref t_le) {
+ Prolog_term_ref t_var,
+ Prolog_term_ref t_le) {
static const char* where = "ppl_PIP_Solution_Node_get_parametric_values/3";
try {
const PIP_Solution_Node* pip
@@ -3064,7 +3064,7 @@ ppl_PIP_Tree_Node_parametric_values(Prolog_term_ref t_pip,
extern "C" Prolog_foreign_return_type
ppl_PIP_Tree_Node_true_child(Prolog_term_ref t_pip,
- Prolog_term_ref t_ptree) {
+ Prolog_term_ref t_ptree) {
static const char* where = "ppl_PIP_Decision_Node_get_true_child/2";
try {
const PIP_Decision_Node* pip
@@ -3084,7 +3084,7 @@ ppl_PIP_Tree_Node_true_child(Prolog_term_ref t_pip,
extern "C" Prolog_foreign_return_type
ppl_PIP_Tree_Node_false_child(Prolog_term_ref t_pip,
- Prolog_term_ref t_ptree) {
+ Prolog_term_ref t_ptree) {
static const char* where = "ppl_PIP_Decision_Node_get_false_child/2";
try {
const PIP_Decision_Node* pip
diff --git a/interfaces/Prolog/ppl_prolog_common.defs.hh b/interfaces/Prolog/ppl_prolog_common.defs.hh
deleted file mode 100644
index baf7400..0000000
--- a/interfaces/Prolog/ppl_prolog_common.defs.hh
+++ /dev/null
@@ -1,1084 +0,0 @@
-/* Common part of the Prolog interfaces: declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_prolog_common_defs_hh
-#define PPL_ppl_prolog_common_defs_hh 1
-
-#define PPL_NO_AUTOMATIC_INITIALIZATION
-#include "ppl.hh"
-#include "ppl_prolog_sysdep.hh"
-#include "interfaced_boxes.hh"
-#include <set>
-#include <vector>
-#include <exception>
-#include <stdexcept>
-#include <iostream>
-
-#ifndef PROLOG_TRACK_ALLOCATION
-#define PROLOG_TRACK_ALLOCATION 0
-#endif
-#ifndef NOISY_PROLOG_TRACK_ALLOCATION
-#define NOISY_PROLOG_TRACK_ALLOCATION 0
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interfaces {
-
-namespace Prolog {
-
-#if PROLOG_TRACK_ALLOCATION || NOISY_PROLOG_TRACK_ALLOCATION
-
-class Allocation_Tracker {
-public:
- //! Construct an allocation tracker with no registered objects.
- Allocation_Tracker();
-
- /*! \brief
- Register an object whose deletion is under the Prolog programmer
- responsibility.
- */
- template <typename T>
- void insert(const T* p);
-
- /*! \brief
- Register an object whose deletion is under the PPL library
- responsibility.
- */
- template <typename T>
- void weak_insert(const T* p);
-
- //! Check whether the object was correctly registered.
- template <typename T>
- void check(const T* p) const;
-
- /*! \brief
- Unregister an object whose deletion is under the Prolog programmer
- responsibility.
- */
- template <typename T>
- void remove(const T* p);
-
- /*! \brief
- Destroy the allocation tracker: an error message will be output
- if there still are registered objects whose deletion was under
- the Prolog programmer responsibility.
- */
- ~Allocation_Tracker();
-
-private:
- //! The type for recording a set of pointers to PPL library objects.
- typedef std::set<const void*, std::less<const void*> > Set;
-
- /*! \brief
- A set of pointers to objects whose deallocation is under the
- rensponsibility of the Prolog programmer: they should be deallocated
- before the termination of the program.
- */
- Set s;
-
- /*! \brief
- A set of pointers to objects whose deallocation is under the
- rensponsibility of the PPL library: they should not be deallocated
- by the Prolog programmer.
- */
- Set weak_s;
-};
-
-extern Allocation_Tracker allocation_tracker;
-
-#define PPL_REGISTER(x) \
- Parma_Polyhedra_Library::Interfaces::Prolog \
- ::allocation_tracker.insert(x)
-#define PPL_WEAK_REGISTER(x) \
- Parma_Polyhedra_Library::Interfaces::Prolog \
- ::allocation_tracker.weak_insert(x)
-#define PPL_UNREGISTER(x) \
- Parma_Polyhedra_Library::Interfaces::Prolog \
- ::allocation_tracker.remove(x)
-#define PPL_CHECK(x) \
- Parma_Polyhedra_Library::Interfaces::Prolog \
- ::allocation_tracker.check(x)
-
-#else // !PROLOG_TRACK_ALLOCATION && !NOISY_PROLOG_TRACK_ALLOCATION
-
-#define PPL_REGISTER(x)
-#define PPL_WEAK_REGISTER(x)
-#define PPL_UNREGISTER(x)
-#define PPL_CHECK(x)
-
-#endif // !PROLOG_TRACK_ALLOCATION && !NOISY_PROLOG_TRACK_ALLOCATION
-
-class internal_exception {
-private:
- Prolog_term_ref t;
- const char* w;
-
-public:
- internal_exception(Prolog_term_ref term, const char* where)
- : t(term),
- w(where) {
- }
-
- virtual ~internal_exception() {
- }
-
- virtual Prolog_term_ref term() const {
- return t;
- }
-
- virtual const char* where() const {
- return w;
- }
-};
-
-class Prolog_unsigned_out_of_range : public internal_exception {
-private:
- unsigned long m;
-
-public:
- Prolog_unsigned_out_of_range(Prolog_term_ref term,
- const char* where,
- unsigned long max)
- : internal_exception(term, where),
- m(max) {
- }
-
- unsigned long max() const {
- return m;
- }
-};
-
-class non_linear : public internal_exception {
-public:
- non_linear(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_an_integer : public internal_exception {
-public:
- not_an_integer(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_unsigned_integer : public internal_exception {
-public:
- not_unsigned_integer(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_boolean : public internal_exception {
-public:
- not_a_boolean(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_variable : public internal_exception {
-public:
- not_a_variable(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_an_optimization_mode : public internal_exception {
-public:
- not_an_optimization_mode(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_bounded_integer_type_width : public internal_exception {
-public:
- not_a_bounded_integer_type_width(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_bounded_integer_type_representation : public internal_exception {
-public:
- not_a_bounded_integer_type_representation(Prolog_term_ref term,
- const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_bounded_integer_type_overflow : public internal_exception {
-public:
- not_a_bounded_integer_type_overflow(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_complexity_class : public internal_exception {
-public:
- not_a_complexity_class(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_control_parameter_name : public internal_exception {
-public:
- not_a_control_parameter_name(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_control_parameter_value : public internal_exception {
-public:
- not_a_control_parameter_value(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_pip_problem_control_parameter_name : public internal_exception {
-public:
- not_a_pip_problem_control_parameter_name(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_pip_problem_control_parameter_value : public internal_exception {
-public:
- not_a_pip_problem_control_parameter_value(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_universe_or_empty : public internal_exception {
-public:
- not_universe_or_empty(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_relation : public internal_exception {
-public:
- not_a_relation(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class not_a_nil_terminated_list : public internal_exception {
-public:
- not_a_nil_terminated_list(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class PPL_integer_out_of_range {
-private:
- Parma_Polyhedra_Library::Coefficient n;
-
-public:
- PPL_integer_out_of_range(const Parma_Polyhedra_Library::Coefficient& value)
- : n(value) {
- }
-
- const Parma_Polyhedra_Library::Coefficient value() const {
- return n;
- }
-};
-
-class ppl_handle_mismatch : public internal_exception {
-public:
- ppl_handle_mismatch(Prolog_term_ref term, const char* where)
- : internal_exception(term, where) {
- }
-};
-
-class unknown_interface_error {
-private:
- const char* w;
-
-public:
- unknown_interface_error(const char* s)
- : w(s) {
- }
-
- const char* where() const {
- return w;
- }
-};
-
-// For Prolog lists.
-extern Prolog_atom a_nil;
-
-// For variables.
-extern Prolog_atom a_dollar_VAR;
-
-// For linear expressions.
-extern Prolog_atom a_plus;
-extern Prolog_atom a_minus;
-extern Prolog_atom a_asterisk;
-
-// To represent rational numbers as fractions.
-extern Prolog_atom a_slash;
-
-// For constraints.
-extern Prolog_atom a_less_than;
-extern Prolog_atom a_equal_less_than;
-extern Prolog_atom a_equal;
-extern Prolog_atom a_greater_than_equal;
-extern Prolog_atom a_greater_than;
-
-// For congruences.
-extern Prolog_atom a_is_congruent_to;
-extern Prolog_atom a_modulo;
-
-// For generators.
-extern Prolog_atom a_line;
-extern Prolog_atom a_ray;
-extern Prolog_atom a_point;
-extern Prolog_atom a_closure_point;
-
-// For grid_generators.
-extern Prolog_atom a_grid_line;
-extern Prolog_atom a_parameter;
-extern Prolog_atom a_grid_point;
-
-// For the relation between a polyhedron and a constraint.
-extern Prolog_atom a_is_disjoint;
-extern Prolog_atom a_strictly_intersects;
-extern Prolog_atom a_is_included;
-extern Prolog_atom a_saturates;
-
-// For the relation between a polyhedron and a generator.
-extern Prolog_atom a_subsumes;
-
-// Denotes a closed interval boundary.
-extern Prolog_atom a_c;
-
-// Denotes the empty set such as the empty interval or polyhedron.
-extern Prolog_atom a_empty;
-
-// Denotes an open interval boundary.
-extern Prolog_atom a_o;
-
-// Denotes the constructor that turns two boundaries into a proper interval.
-extern Prolog_atom a_i;
-
-// Denote the -infinity and +infinity interval boundaries.
-extern Prolog_atom a_minf;
-extern Prolog_atom a_pinf;
-
-// Denote complexity classes.
-extern Prolog_atom a_polynomial;
-extern Prolog_atom a_simplex;
-extern Prolog_atom a_any;
-
-// Denote possible widths of bounded integer types.
-extern Prolog_atom a_bits_8;
-extern Prolog_atom a_bits_16;
-extern Prolog_atom a_bits_32;
-extern Prolog_atom a_bits_64;
-extern Prolog_atom a_bits_128;
-
-// Denote possible representations of bounded integer types.
-extern Prolog_atom a_unsigned;
-extern Prolog_atom a_signed_2_complement;
-
-// Denote possible overflow behavior of bounded integer types.
-extern Prolog_atom a_overflow_wraps;
-extern Prolog_atom a_overflow_undefined;
-extern Prolog_atom a_overflow_impossible;
-
-// Boolean constants.
-extern Prolog_atom a_true;
-extern Prolog_atom a_false;
-
-
-struct Prolog_Interface_Atom {
- Prolog_atom* p_atom;
- const char* name;
-};
-
-extern const Prolog_Interface_Atom prolog_interface_atoms[];
-
-void
-handle_exception(const Prolog_unsigned_out_of_range& e);
-
-void
-handle_exception(const not_unsigned_integer& e);
-
-void
-handle_exception(const not_a_boolean& e);
-
-void
-handle_exception(const non_linear& e);
-
-void
-handle_exception(const not_a_variable& e);
-
-void
-handle_exception(const not_an_integer& e);
-
-void
-handle_exception(const ppl_handle_mismatch& e);
-
-void
-handle_exception(const not_an_optimization_mode& e);
-
-void
-handle_exception(const not_a_complexity_class& e);
-
-void
-handle_exception(const not_a_bounded_integer_type_width& e);
-
-void
-handle_exception(const not_a_bounded_integer_type_representation& e);
-
-void
-handle_exception(const not_a_bounded_integer_type_overflow& e);
-
-void
-handle_exception(const not_a_control_parameter_name& e);
-
-void
-handle_exception(const not_a_control_parameter_value& e);
-
-void
-handle_exception(const not_a_pip_problem_control_parameter_name& e);
-
-void
-handle_exception(const not_a_pip_problem_control_parameter_value& e);
-
-void
-handle_exception(const not_universe_or_empty& e);
-
-void
-handle_exception(const not_a_relation& e);
-
-void
-handle_exception(const not_a_nil_terminated_list& e);
-
-void
-handle_exception(const PPL_integer_out_of_range& e);
-
-void
-handle_exception(const unknown_interface_error& e);
-
-void
-handle_exception(const std::overflow_error& e);
-
-void
-handle_exception(const std::domain_error& e);
-
-void
-handle_exception(const std::length_error& e);
-
-void
-handle_exception(const std::invalid_argument& e);
-
-void
-handle_exception(const std::logic_error& e);
-
-void
-handle_exception(const std::bad_alloc&);
-
-void
-handle_exception(const std::exception& e);
-
-void
-handle_exception();
-
-class timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-void
-handle_exception(const timeout_exception&);
-
-class deterministic_timeout_exception
- : public Parma_Polyhedra_Library::Throwable {
-public:
- void throw_me() const {
- throw *this;
- }
- int priority() const {
- return 0;
- }
-};
-
-void
-handle_exception(const deterministic_timeout_exception&);
-
-#define CATCH_ALL \
- catch (const Prolog_unsigned_out_of_range& e) { \
- handle_exception(e); \
- } \
- catch (const not_unsigned_integer& e) { \
- handle_exception(e); \
- } \
- catch (const non_linear& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_variable& e) { \
- handle_exception(e); \
- } \
- catch (const not_an_integer& e) { \
- handle_exception(e); \
- } \
- catch (const ppl_handle_mismatch& e) { \
- handle_exception(e); \
- } \
- catch (const not_an_optimization_mode& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_complexity_class& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_bounded_integer_type_width& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_bounded_integer_type_representation& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_bounded_integer_type_overflow& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_control_parameter_name& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_control_parameter_value& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_pip_problem_control_parameter_name& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_pip_problem_control_parameter_value& e) { \
- handle_exception(e); \
- } \
- catch (const not_universe_or_empty& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_relation& e) { \
- handle_exception(e); \
- } \
- catch (const not_a_nil_terminated_list& e) { \
- handle_exception(e); \
- } \
- catch (const PPL_integer_out_of_range& e) { \
- handle_exception(e); \
- } \
- catch (const unknown_interface_error& e) { \
- handle_exception(e); \
- } \
- catch (const timeout_exception& e) { \
- handle_exception(e); \
- } \
- catch (const deterministic_timeout_exception& e) { \
- handle_exception(e); \
- } \
- catch(const std::overflow_error& e) { \
- handle_exception(e); \
- } \
- catch(const std::domain_error& e) { \
- handle_exception(e); \
- } \
- catch(const std::length_error& e) { \
- handle_exception(e); \
- } \
- catch(const std::invalid_argument& e) { \
- handle_exception(e); \
- } \
- catch (const std::logic_error& e) { \
- handle_exception(e); \
- } \
- catch (const std::bad_alloc& e) { \
- handle_exception(e); \
- } \
- catch (const std::exception& e) { \
- handle_exception(e); \
- } \
- catch (...) { \
- handle_exception(); \
- } \
- return PROLOG_FAILURE
-
-
-Prolog_term_ref
-variable_term(dimension_type varid);
-
-template <typename U>
-U
-term_to_unsigned(Prolog_term_ref t, const char* where) {
- using namespace Parma_Polyhedra_Library;
- using namespace Parma_Polyhedra_Library::Interfaces::Prolog;
- if (!Prolog_is_integer(t))
- throw not_unsigned_integer(t, where);
-
- U d = 0;
- long l;
- if (Prolog_get_long(t, &l))
- if (l < 0)
- throw not_unsigned_integer(t, where);
- else if (static_cast<unsigned long>(l) > std::numeric_limits<U>::max())
- throw Prolog_unsigned_out_of_range(t, where,
- std::numeric_limits<U>::max());
- else
- d = l;
- else {
- PPL_DIRTY_TEMP_COEFFICIENT(v);
- Prolog_get_Coefficient(t, v);
- if (v < 0)
- throw not_unsigned_integer(t, where);
- Result r = assign_r(d, raw_value(v), ROUND_IGNORE);
- if (result_overflow(r))
- throw Prolog_unsigned_out_of_range(t, where,
- std::numeric_limits<U>::max());
- }
- return d;
-}
-
-Prolog_atom
-term_to_boolean(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_universe_or_empty(Prolog_term_ref t, const char* where);
-
-Prolog_term_ref
-interval_term(const Parma_Polyhedra_Library::Rational_Box::interval_type& i);
-
-Prolog_atom
-term_to_complexity_class(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_bounded_integer_type_width(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_bounded_integer_type_representation(Prolog_term_ref t,
- const char* where);
-
-Prolog_atom
-term_to_bounded_integer_type_overflow(Prolog_term_ref t, const char* where);
-
-template <typename T>
-T*
-term_to_handle(Prolog_term_ref t, const char* where) {
- if (Prolog_is_address(t)) {
- void* p;
- if (Prolog_get_address(t, &p))
- return static_cast<T*>(p);
- }
- throw ppl_handle_mismatch(t, where);
-}
-
-enum Boundary_Kind {
- LOWER_BOUNDARY,
- UPPER_BOUNDARY
-};
-
-bool
-term_to_boundary(Prolog_term_ref t_b, Boundary_Kind kind,
- bool& finite, bool& closed,
- Parma_Polyhedra_Library::Coefficient& n, Parma_Polyhedra_Library::Coefficient& d);
-
-Parma_Polyhedra_Library::Relation_Symbol
-term_to_relation_symbol(Prolog_term_ref t_r, const char* where);
-
-Parma_Polyhedra_Library::Coefficient
-integer_term_to_Coefficient(Prolog_term_ref t);
-
-Prolog_term_ref
-Coefficient_to_integer_term(const Parma_Polyhedra_Library::Coefficient& n);
-
-bool
-unify_long(Prolog_term_ref t, long l);
-
-bool
-unify_ulong(Prolog_term_ref t, unsigned long l);
-
-Parma_Polyhedra_Library::Linear_Expression
-build_linear_expression(Prolog_term_ref t, const char* where);
-
-Parma_Polyhedra_Library::Constraint
-build_constraint(Prolog_term_ref t, const char* where);
-
-Parma_Polyhedra_Library::Congruence
-build_congruence(Prolog_term_ref t, const char* where);
-
-Parma_Polyhedra_Library::Generator
-build_generator(Prolog_term_ref t, const char* where);
-
-Parma_Polyhedra_Library::Grid_Generator
-build_grid_generator(Prolog_term_ref t, const char* where);
-
-Prolog_term_ref
-get_linear_expression(const Parma_Polyhedra_Library::Linear_Expression& le);
-
-Prolog_term_ref
-constraint_term(const Parma_Polyhedra_Library::Constraint& c);
-
-Prolog_term_ref
-congruence_term(const Parma_Polyhedra_Library::Congruence& cg);
-
-Prolog_term_ref
-generator_term(const Parma_Polyhedra_Library::Generator& g);
-
-Prolog_term_ref
-grid_generator_term(const Parma_Polyhedra_Library::Grid_Generator& g);
-
-Parma_Polyhedra_Library::Variable
-term_to_Variable(Prolog_term_ref t, const char* where);
-
-Parma_Polyhedra_Library::Coefficient
-term_to_Coefficient(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_optimization_mode(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_control_parameter_name(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_control_parameter_value(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_pip_problem_control_parameter_name(Prolog_term_ref t, const char* where);
-
-Prolog_atom
-term_to_pip_problem_control_parameter_value(Prolog_term_ref t, const char* where);
-
-void
-check_nil_terminating(Prolog_term_ref t, const char* where);
-
-} // namespace Prolog
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-extern "C" Prolog_foreign_return_type
-ppl_version_major(Prolog_term_ref t_v);
-
-extern "C" Prolog_foreign_return_type
-ppl_version_minor(Prolog_term_ref t_v);
-
-extern "C" Prolog_foreign_return_type
-ppl_version_revision(Prolog_term_ref t_v);
-
-extern "C" Prolog_foreign_return_type
-ppl_version_beta(Prolog_term_ref t_v);
-
-extern "C" Prolog_foreign_return_type
-ppl_version(Prolog_term_ref t_v);
-
-extern "C" Prolog_foreign_return_type
-ppl_banner(Prolog_term_ref t_b);
-
-extern "C" Prolog_foreign_return_type
-ppl_max_space_dimension(Prolog_term_ref t_msd);
-
-extern "C" Prolog_foreign_return_type
-ppl_initialize();
-
-extern "C" Prolog_foreign_return_type
-ppl_finalize();
-
-extern "C" Prolog_foreign_return_type
-ppl_set_rounding_for_PPL();
-
-extern "C" Prolog_foreign_return_type
-ppl_restore_pre_PPL_rounding();
-
-extern "C" Prolog_foreign_return_type
-ppl_irrational_precision(Prolog_term_ref t_p);
-
-extern "C" Prolog_foreign_return_type
-ppl_set_irrational_precision(Prolog_term_ref t_p);
-
-extern "C" Prolog_foreign_return_type
-ppl_set_timeout_exception_atom(Prolog_term_ref t_tea);
-
-extern "C" Prolog_foreign_return_type
-ppl_timeout_exception_atom(Prolog_term_ref t);
-
-extern "C" Prolog_foreign_return_type
-ppl_set_timeout(Prolog_term_ref t_csecs);
-
-extern "C" Prolog_foreign_return_type
-ppl_reset_timeout();
-
-extern "C" Prolog_foreign_return_type
-ppl_set_deterministic_timeout(Prolog_term_ref t_unscaled_weight,
- Prolog_term_ref t_scale);
-
-extern "C" Prolog_foreign_return_type
-ppl_reset_deterministic_timeout();
-
-extern "C" Prolog_foreign_return_type
-ppl_Coefficient_bits(Prolog_term_ref t_bits);
-
-extern "C" Prolog_foreign_return_type
-ppl_Coefficient_is_bounded();
-
-extern "C" Prolog_foreign_return_type
-ppl_Coefficient_min(Prolog_term_ref t_min);
-
-extern "C" Prolog_foreign_return_type
-ppl_Coefficient_max(Prolog_term_ref t_max);
-
-extern "C" Prolog_foreign_return_type
-ppl_new_MIP_Problem_from_space_dimension
-(Prolog_term_ref t_nd, Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_new_MIP_Problem(Prolog_term_ref t_nd,
- Prolog_term_ref t_clist,
- Prolog_term_ref t_le_expr,
- Prolog_term_ref t_opt,
- Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_new_MIP_Problem_from_MIP_Problem(Prolog_term_ref t_mip_source,
- Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_swap(Prolog_term_ref t_lhs, Prolog_term_ref t_rhs);
-
-extern "C" Prolog_foreign_return_type
-ppl_delete_MIP_Problem(Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_space_dimension(Prolog_term_ref t_mip, Prolog_term_ref t_sd);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_integer_space_dimensions(Prolog_term_ref t_mip,
- Prolog_term_ref t_vlist);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_constraints(Prolog_term_ref t_mip,
- Prolog_term_ref t_clist);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_objective_function(Prolog_term_ref t_mip,
- Prolog_term_ref t_le_expr);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_optimization_mode(Prolog_term_ref t_mip,
- Prolog_term_ref t_opt);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_get_control_parameter(Prolog_term_ref t_mip,
- Prolog_term_ref t_cp_name,
- Prolog_term_ref t_cp_value);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_clear(Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_add_space_dimensions_and_embed
-(Prolog_term_ref t_mip, Prolog_term_ref t_nnd);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_add_to_integer_space_dimensions(Prolog_term_ref t_mip,
- Prolog_term_ref t_vlist);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_add_constraint(Prolog_term_ref t_mip, Prolog_term_ref t_c);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_add_constraints(Prolog_term_ref t_mip,
- Prolog_term_ref t_clist);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_set_objective_function(Prolog_term_ref t_mip,
- Prolog_term_ref t_le_expr);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_set_optimization_mode(Prolog_term_ref t_mip,
- Prolog_term_ref t_opt);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_set_control_parameter(Prolog_term_ref t_mip,
- Prolog_term_ref t_cp_value);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_is_satisfiable(Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_solve(Prolog_term_ref t_mip, Prolog_term_ref t_status);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_feasible_point(Prolog_term_ref t_mip,
- Prolog_term_ref t_g);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_optimizing_point(Prolog_term_ref t_mip,
- Prolog_term_ref t_g);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_optimal_value(Prolog_term_ref t_mip,
- Prolog_term_ref t_n,
- Prolog_term_ref t_d);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_evaluate_objective_function(Prolog_term_ref t_mip,
- Prolog_term_ref t_g,
- Prolog_term_ref t_n,
- Prolog_term_ref t_d);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_OK(Prolog_term_ref t_mip);
-
-extern "C" Prolog_foreign_return_type
-ppl_MIP_Problem_ascii_dump(Prolog_term_ref t_mip);
-
-
-extern "C" Prolog_foreign_return_type
-ppl_new_PIP_Problem_from_space_dimension(Prolog_term_ref t_nd,
- Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_new_PIP_Problem_from_PIP_Problem(Prolog_term_ref t_pip_source,
- Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_new_PIP_Problem(Prolog_term_ref t_dim,
- Prolog_term_ref t_cs,
- Prolog_term_ref t_params,
- Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_swap(Prolog_term_ref t_lhs, Prolog_term_ref t_rhs);
-
-extern "C" Prolog_foreign_return_type
-ppl_delete_PIP_Problem(Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_space_dimension(Prolog_term_ref t_pip, Prolog_term_ref t_sd);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_parameter_space_dimensions(Prolog_term_ref t_pip,
- Prolog_term_ref t_vlist);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_constraints(Prolog_term_ref t_pip, Prolog_term_ref t_cs);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_get_control_parameter(Prolog_term_ref t_pip,
- Prolog_term_ref t_cp_name,
- Prolog_term_ref t_cp_value);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_clear(Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_add_space_dimensions_and_embed
-(Prolog_term_ref t_pip,
- Prolog_term_ref t_num_vars,
- Prolog_term_ref t_num_params);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_add_to_parameter_space_dimensions(Prolog_term_ref t_pip,
- Prolog_term_ref t_vlist);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_add_constraint(Prolog_term_ref t_pip, Prolog_term_ref t_c);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_add_constraints(Prolog_term_ref t_pip,
- Prolog_term_ref t_clist);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_set_control_parameter(Prolog_term_ref t_pip,
- Prolog_term_ref t_cp_value);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_is_satisfiable(Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_solve(Prolog_term_ref t_pip, Prolog_term_ref t_status);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_solution(Prolog_term_ref t_pip,
- Prolog_term_ref t_pip_tree);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_optimizing_solution(Prolog_term_ref t_pip,
- Prolog_term_ref t_pip_tree);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_has_big_parameter_dimension(Prolog_term_ref t_pip,
- Prolog_term_ref t_d);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_set_big_parameter_dimension(Prolog_term_ref t_pip,
- Prolog_term_ref t_d);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_OK(Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Problem_ascii_dump(Prolog_term_ref t_pip);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_constraints(Prolog_term_ref t_tree_node,
- Prolog_term_ref t_clist);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_is_solution(Prolog_term_ref t_tree_node);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_is_decision(Prolog_term_ref t_tree_node);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_is_bottom(Prolog_term_ref t_tree_node);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_artificials(Prolog_term_ref t_tree_node,
- Prolog_term_ref t_artlist);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_OK(Prolog_term_ref t_pip_tree);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_parametric_values(Prolog_term_ref t_pip_sol,
- Prolog_term_ref t_var,
- Prolog_term_ref t_pvalue_list);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_true_child(Prolog_term_ref t_pip_dec,
- Prolog_term_ref t_pip_tree);
-
-extern "C" Prolog_foreign_return_type
-ppl_PIP_Tree_Node_false_child(Prolog_term_ref t_pip_dec,
- Prolog_term_ref t_pip_tree);
-
-using namespace Parma_Polyhedra_Library;
-using namespace Parma_Polyhedra_Library::Interfaces::Prolog;
-
-#include "ppl_prolog_common.inlines.hh"
-
-#endif // !defined(PPL_ppl_prolog_common_defs_hh)
diff --git a/interfaces/Prolog/ppl_prolog_common.inlines.hh b/interfaces/Prolog/ppl_prolog_common.inlines.hh
deleted file mode 100644
index f0aeeb0..0000000
--- a/interfaces/Prolog/ppl_prolog_common.inlines.hh
+++ /dev/null
@@ -1,88 +0,0 @@
-/* Common part of the Prolog interfaces: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_ppl_prolog_common_inlines_hh
-#define PPL_ppl_prolog_common_inlines_hh 1
-
-#if PROLOG_TRACK_ALLOCATION || NOISY_PROLOG_TRACK_ALLOCATION
-
-#include <typeinfo>
-#include <iomanip>
-
-template <typename T>
-void
-Allocation_Tracker::insert(const T* p) {
-#if NOISY_PROLOG_TRACK_ALLOCATION
- std::cerr << "inserting " << typeid(*p).name()
- << " at " << std::hex << (void*) p << std::endl;
-#endif
- std::pair<Set::iterator, bool> stat = s.insert(p);
- if (!stat.second) {
- std::cerr << "Interfaces::Prolog::Allocation_Tracker:"
- " two objects at the same address at the same time?!"
- << std::endl;
- abort();
- }
-}
-
-template <typename T>
-void
-Allocation_Tracker::weak_insert(const T* p) {
-#if NOISY_PROLOG_TRACK_ALLOCATION
- std::cerr << "inserting weak " << typeid(*p).name()
- << " at " << std::hex << (void*) p << std::endl;
-#endif
- weak_s.insert(p);
-}
-
-template <typename T>
-void
-Allocation_Tracker::remove(const T* p) {
-#if NOISY_PROLOG_TRACK_ALLOCATION
- std::cerr << "removing " << typeid(*p).name()
- << " at " << std::hex << (void*) p << std::endl;
-#endif
- if (s.erase(p) != 1) {
- std::cerr << "Interfaces::Prolog::Allocation_Tracker:"
- " attempt to deallocate a nonexistent polyhedron."
- << std::endl;
- abort();
- }
-}
-
-template <typename T>
-void
-Allocation_Tracker::check(const T* p) const {
- if (s.find(p) == s.end()
- && weak_s.find(p) == weak_s.end()) {
- std::cerr << "Interfaces::Prolog::Allocation_Tracker:"
- " attempt to access a nonexistent "
- << typeid(*p).name()
- << " at " << std::hex << (void*) p << std::endl;
- abort();
- }
-}
-
-#endif // PROLOG_TRACK_ALLOCATION || NOISY_PROLOG_TRACK_ALLOCATION
-
-#endif // !defined(PPL_ppl_prolog_common_inlines_hh)
diff --git a/interfaces/Prolog/ppl_prolog_common_defs.hh b/interfaces/Prolog/ppl_prolog_common_defs.hh
new file mode 100644
index 0000000..3f85ef2
--- /dev/null
+++ b/interfaces/Prolog/ppl_prolog_common_defs.hh
@@ -0,0 +1,1084 @@
+/* Common part of the Prolog interfaces: declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_prolog_common_defs_hh
+#define PPL_ppl_prolog_common_defs_hh 1
+
+#define PPL_NO_AUTOMATIC_INITIALIZATION
+#include "ppl.hh"
+#include "ppl_prolog_sysdep.hh"
+#include "interfaced_boxes.hh"
+#include <set>
+#include <vector>
+#include <exception>
+#include <stdexcept>
+#include <iostream>
+
+#ifndef PROLOG_TRACK_ALLOCATION
+#define PROLOG_TRACK_ALLOCATION 0
+#endif
+#ifndef NOISY_PROLOG_TRACK_ALLOCATION
+#define NOISY_PROLOG_TRACK_ALLOCATION 0
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interfaces {
+
+namespace Prolog {
+
+#if PROLOG_TRACK_ALLOCATION || NOISY_PROLOG_TRACK_ALLOCATION
+
+class Allocation_Tracker {
+public:
+ //! Construct an allocation tracker with no registered objects.
+ Allocation_Tracker();
+
+ /*! \brief
+ Register an object whose deletion is under the Prolog programmer
+ responsibility.
+ */
+ template <typename T>
+ void insert(const T* p);
+
+ /*! \brief
+ Register an object whose deletion is under the PPL library
+ responsibility.
+ */
+ template <typename T>
+ void weak_insert(const T* p);
+
+ //! Check whether the object was correctly registered.
+ template <typename T>
+ void check(const T* p) const;
+
+ /*! \brief
+ Unregister an object whose deletion is under the Prolog programmer
+ responsibility.
+ */
+ template <typename T>
+ void remove(const T* p);
+
+ /*! \brief
+ Destroy the allocation tracker: an error message will be output
+ if there still are registered objects whose deletion was under
+ the Prolog programmer responsibility.
+ */
+ ~Allocation_Tracker();
+
+private:
+ //! The type for recording a set of pointers to PPL library objects.
+ typedef std::set<const void*, std::less<const void*> > Set;
+
+ /*! \brief
+ A set of pointers to objects whose deallocation is under the
+ rensponsibility of the Prolog programmer: they should be deallocated
+ before the termination of the program.
+ */
+ Set s;
+
+ /*! \brief
+ A set of pointers to objects whose deallocation is under the
+ rensponsibility of the PPL library: they should not be deallocated
+ by the Prolog programmer.
+ */
+ Set weak_s;
+};
+
+extern Allocation_Tracker allocation_tracker;
+
+#define PPL_REGISTER(x) \
+ Parma_Polyhedra_Library::Interfaces::Prolog \
+ ::allocation_tracker.insert(x)
+#define PPL_WEAK_REGISTER(x) \
+ Parma_Polyhedra_Library::Interfaces::Prolog \
+ ::allocation_tracker.weak_insert(x)
+#define PPL_UNREGISTER(x) \
+ Parma_Polyhedra_Library::Interfaces::Prolog \
+ ::allocation_tracker.remove(x)
+#define PPL_CHECK(x) \
+ Parma_Polyhedra_Library::Interfaces::Prolog \
+ ::allocation_tracker.check(x)
+
+#else // !PROLOG_TRACK_ALLOCATION && !NOISY_PROLOG_TRACK_ALLOCATION
+
+#define PPL_REGISTER(x)
+#define PPL_WEAK_REGISTER(x)
+#define PPL_UNREGISTER(x)
+#define PPL_CHECK(x)
+
+#endif // !PROLOG_TRACK_ALLOCATION && !NOISY_PROLOG_TRACK_ALLOCATION
+
+class internal_exception {
+private:
+ Prolog_term_ref t;
+ const char* w;
+
+public:
+ internal_exception(Prolog_term_ref term, const char* where)
+ : t(term),
+ w(where) {
+ }
+
+ virtual ~internal_exception() {
+ }
+
+ virtual Prolog_term_ref term() const {
+ return t;
+ }
+
+ virtual const char* where() const {
+ return w;
+ }
+};
+
+class Prolog_unsigned_out_of_range : public internal_exception {
+private:
+ unsigned long m;
+
+public:
+ Prolog_unsigned_out_of_range(Prolog_term_ref term,
+ const char* where,
+ unsigned long max)
+ : internal_exception(term, where),
+ m(max) {
+ }
+
+ unsigned long max() const {
+ return m;
+ }
+};
+
+class non_linear : public internal_exception {
+public:
+ non_linear(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_an_integer : public internal_exception {
+public:
+ not_an_integer(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_unsigned_integer : public internal_exception {
+public:
+ not_unsigned_integer(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_boolean : public internal_exception {
+public:
+ not_a_boolean(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_variable : public internal_exception {
+public:
+ not_a_variable(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_an_optimization_mode : public internal_exception {
+public:
+ not_an_optimization_mode(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_bounded_integer_type_width : public internal_exception {
+public:
+ not_a_bounded_integer_type_width(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_bounded_integer_type_representation : public internal_exception {
+public:
+ not_a_bounded_integer_type_representation(Prolog_term_ref term,
+ const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_bounded_integer_type_overflow : public internal_exception {
+public:
+ not_a_bounded_integer_type_overflow(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_complexity_class : public internal_exception {
+public:
+ not_a_complexity_class(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_control_parameter_name : public internal_exception {
+public:
+ not_a_control_parameter_name(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_control_parameter_value : public internal_exception {
+public:
+ not_a_control_parameter_value(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_pip_problem_control_parameter_name : public internal_exception {
+public:
+ not_a_pip_problem_control_parameter_name(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_pip_problem_control_parameter_value : public internal_exception {
+public:
+ not_a_pip_problem_control_parameter_value(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_universe_or_empty : public internal_exception {
+public:
+ not_universe_or_empty(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_relation : public internal_exception {
+public:
+ not_a_relation(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class not_a_nil_terminated_list : public internal_exception {
+public:
+ not_a_nil_terminated_list(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class PPL_integer_out_of_range {
+private:
+ Parma_Polyhedra_Library::Coefficient n;
+
+public:
+ PPL_integer_out_of_range(const Parma_Polyhedra_Library::Coefficient& value)
+ : n(value) {
+ }
+
+ const Parma_Polyhedra_Library::Coefficient value() const {
+ return n;
+ }
+};
+
+class ppl_handle_mismatch : public internal_exception {
+public:
+ ppl_handle_mismatch(Prolog_term_ref term, const char* where)
+ : internal_exception(term, where) {
+ }
+};
+
+class unknown_interface_error {
+private:
+ const char* w;
+
+public:
+ unknown_interface_error(const char* s)
+ : w(s) {
+ }
+
+ const char* where() const {
+ return w;
+ }
+};
+
+// For Prolog lists.
+extern Prolog_atom a_nil;
+
+// For variables.
+extern Prolog_atom a_dollar_VAR;
+
+// For linear expressions.
+extern Prolog_atom a_plus;
+extern Prolog_atom a_minus;
+extern Prolog_atom a_asterisk;
+
+// To represent rational numbers as fractions.
+extern Prolog_atom a_slash;
+
+// For constraints.
+extern Prolog_atom a_less_than;
+extern Prolog_atom a_equal_less_than;
+extern Prolog_atom a_equal;
+extern Prolog_atom a_greater_than_equal;
+extern Prolog_atom a_greater_than;
+
+// For congruences.
+extern Prolog_atom a_is_congruent_to;
+extern Prolog_atom a_modulo;
+
+// For generators.
+extern Prolog_atom a_line;
+extern Prolog_atom a_ray;
+extern Prolog_atom a_point;
+extern Prolog_atom a_closure_point;
+
+// For grid_generators.
+extern Prolog_atom a_grid_line;
+extern Prolog_atom a_parameter;
+extern Prolog_atom a_grid_point;
+
+// For the relation between a polyhedron and a constraint.
+extern Prolog_atom a_is_disjoint;
+extern Prolog_atom a_strictly_intersects;
+extern Prolog_atom a_is_included;
+extern Prolog_atom a_saturates;
+
+// For the relation between a polyhedron and a generator.
+extern Prolog_atom a_subsumes;
+
+// Denotes a closed interval boundary.
+extern Prolog_atom a_c;
+
+// Denotes the empty set such as the empty interval or polyhedron.
+extern Prolog_atom a_empty;
+
+// Denotes an open interval boundary.
+extern Prolog_atom a_o;
+
+// Denotes the constructor that turns two boundaries into a proper interval.
+extern Prolog_atom a_i;
+
+// Denote the -infinity and +infinity interval boundaries.
+extern Prolog_atom a_minf;
+extern Prolog_atom a_pinf;
+
+// Denote complexity classes.
+extern Prolog_atom a_polynomial;
+extern Prolog_atom a_simplex;
+extern Prolog_atom a_any;
+
+// Denote possible widths of bounded integer types.
+extern Prolog_atom a_bits_8;
+extern Prolog_atom a_bits_16;
+extern Prolog_atom a_bits_32;
+extern Prolog_atom a_bits_64;
+extern Prolog_atom a_bits_128;
+
+// Denote possible representations of bounded integer types.
+extern Prolog_atom a_unsigned;
+extern Prolog_atom a_signed_2_complement;
+
+// Denote possible overflow behavior of bounded integer types.
+extern Prolog_atom a_overflow_wraps;
+extern Prolog_atom a_overflow_undefined;
+extern Prolog_atom a_overflow_impossible;
+
+// Boolean constants.
+extern Prolog_atom a_true;
+extern Prolog_atom a_false;
+
+
+struct Prolog_Interface_Atom {
+ Prolog_atom* p_atom;
+ const char* name;
+};
+
+extern const Prolog_Interface_Atom prolog_interface_atoms[];
+
+void
+handle_exception(const Prolog_unsigned_out_of_range& e);
+
+void
+handle_exception(const not_unsigned_integer& e);
+
+void
+handle_exception(const not_a_boolean& e);
+
+void
+handle_exception(const non_linear& e);
+
+void
+handle_exception(const not_a_variable& e);
+
+void
+handle_exception(const not_an_integer& e);
+
+void
+handle_exception(const ppl_handle_mismatch& e);
+
+void
+handle_exception(const not_an_optimization_mode& e);
+
+void
+handle_exception(const not_a_complexity_class& e);
+
+void
+handle_exception(const not_a_bounded_integer_type_width& e);
+
+void
+handle_exception(const not_a_bounded_integer_type_representation& e);
+
+void
+handle_exception(const not_a_bounded_integer_type_overflow& e);
+
+void
+handle_exception(const not_a_control_parameter_name& e);
+
+void
+handle_exception(const not_a_control_parameter_value& e);
+
+void
+handle_exception(const not_a_pip_problem_control_parameter_name& e);
+
+void
+handle_exception(const not_a_pip_problem_control_parameter_value& e);
+
+void
+handle_exception(const not_universe_or_empty& e);
+
+void
+handle_exception(const not_a_relation& e);
+
+void
+handle_exception(const not_a_nil_terminated_list& e);
+
+void
+handle_exception(const PPL_integer_out_of_range& e);
+
+void
+handle_exception(const unknown_interface_error& e);
+
+void
+handle_exception(const std::overflow_error& e);
+
+void
+handle_exception(const std::domain_error& e);
+
+void
+handle_exception(const std::length_error& e);
+
+void
+handle_exception(const std::invalid_argument& e);
+
+void
+handle_exception(const std::logic_error& e);
+
+void
+handle_exception(const std::bad_alloc&);
+
+void
+handle_exception(const std::exception& e);
+
+void
+handle_exception();
+
+class timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+void
+handle_exception(const timeout_exception&);
+
+class deterministic_timeout_exception
+ : public Parma_Polyhedra_Library::Throwable {
+public:
+ void throw_me() const {
+ throw *this;
+ }
+ int priority() const {
+ return 0;
+ }
+};
+
+void
+handle_exception(const deterministic_timeout_exception&);
+
+#define CATCH_ALL \
+ catch (const Prolog_unsigned_out_of_range& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_unsigned_integer& e) { \
+ handle_exception(e); \
+ } \
+ catch (const non_linear& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_variable& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_an_integer& e) { \
+ handle_exception(e); \
+ } \
+ catch (const ppl_handle_mismatch& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_an_optimization_mode& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_complexity_class& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_bounded_integer_type_width& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_bounded_integer_type_representation& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_bounded_integer_type_overflow& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_control_parameter_name& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_control_parameter_value& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_pip_problem_control_parameter_name& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_pip_problem_control_parameter_value& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_universe_or_empty& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_relation& e) { \
+ handle_exception(e); \
+ } \
+ catch (const not_a_nil_terminated_list& e) { \
+ handle_exception(e); \
+ } \
+ catch (const PPL_integer_out_of_range& e) { \
+ handle_exception(e); \
+ } \
+ catch (const unknown_interface_error& e) { \
+ handle_exception(e); \
+ } \
+ catch (const timeout_exception& e) { \
+ handle_exception(e); \
+ } \
+ catch (const deterministic_timeout_exception& e) { \
+ handle_exception(e); \
+ } \
+ catch(const std::overflow_error& e) { \
+ handle_exception(e); \
+ } \
+ catch(const std::domain_error& e) { \
+ handle_exception(e); \
+ } \
+ catch(const std::length_error& e) { \
+ handle_exception(e); \
+ } \
+ catch(const std::invalid_argument& e) { \
+ handle_exception(e); \
+ } \
+ catch (const std::logic_error& e) { \
+ handle_exception(e); \
+ } \
+ catch (const std::bad_alloc& e) { \
+ handle_exception(e); \
+ } \
+ catch (const std::exception& e) { \
+ handle_exception(e); \
+ } \
+ catch (...) { \
+ handle_exception(); \
+ } \
+ return PROLOG_FAILURE
+
+
+Prolog_term_ref
+variable_term(dimension_type varid);
+
+template <typename U>
+U
+term_to_unsigned(Prolog_term_ref t, const char* where) {
+ using namespace Parma_Polyhedra_Library;
+ using namespace Parma_Polyhedra_Library::Interfaces::Prolog;
+ if (!Prolog_is_integer(t))
+ throw not_unsigned_integer(t, where);
+
+ U d = 0;
+ long l;
+ if (Prolog_get_long(t, &l))
+ if (l < 0)
+ throw not_unsigned_integer(t, where);
+ else if (static_cast<unsigned long>(l) > std::numeric_limits<U>::max())
+ throw Prolog_unsigned_out_of_range(t, where,
+ std::numeric_limits<U>::max());
+ else
+ d = l;
+ else {
+ PPL_DIRTY_TEMP_COEFFICIENT(v);
+ Prolog_get_Coefficient(t, v);
+ if (v < 0)
+ throw not_unsigned_integer(t, where);
+ Result r = assign_r(d, raw_value(v), ROUND_IGNORE);
+ if (result_overflow(r))
+ throw Prolog_unsigned_out_of_range(t, where,
+ std::numeric_limits<U>::max());
+ }
+ return d;
+}
+
+Prolog_atom
+term_to_boolean(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_universe_or_empty(Prolog_term_ref t, const char* where);
+
+Prolog_term_ref
+interval_term(const Parma_Polyhedra_Library::Rational_Box::interval_type& i);
+
+Prolog_atom
+term_to_complexity_class(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_bounded_integer_type_width(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_bounded_integer_type_representation(Prolog_term_ref t,
+ const char* where);
+
+Prolog_atom
+term_to_bounded_integer_type_overflow(Prolog_term_ref t, const char* where);
+
+template <typename T>
+T*
+term_to_handle(Prolog_term_ref t, const char* where) {
+ if (Prolog_is_address(t)) {
+ void* p;
+ if (Prolog_get_address(t, &p))
+ return static_cast<T*>(p);
+ }
+ throw ppl_handle_mismatch(t, where);
+}
+
+enum Boundary_Kind {
+ LOWER_BOUNDARY,
+ UPPER_BOUNDARY
+};
+
+bool
+term_to_boundary(Prolog_term_ref t_b, Boundary_Kind kind,
+ bool& finite, bool& closed,
+ Parma_Polyhedra_Library::Coefficient& n, Parma_Polyhedra_Library::Coefficient& d);
+
+Parma_Polyhedra_Library::Relation_Symbol
+term_to_relation_symbol(Prolog_term_ref t_r, const char* where);
+
+Parma_Polyhedra_Library::Coefficient
+integer_term_to_Coefficient(Prolog_term_ref t);
+
+Prolog_term_ref
+Coefficient_to_integer_term(const Parma_Polyhedra_Library::Coefficient& n);
+
+bool
+unify_long(Prolog_term_ref t, long l);
+
+bool
+unify_ulong(Prolog_term_ref t, unsigned long l);
+
+Parma_Polyhedra_Library::Linear_Expression
+build_linear_expression(Prolog_term_ref t, const char* where);
+
+Parma_Polyhedra_Library::Constraint
+build_constraint(Prolog_term_ref t, const char* where);
+
+Parma_Polyhedra_Library::Congruence
+build_congruence(Prolog_term_ref t, const char* where);
+
+Parma_Polyhedra_Library::Generator
+build_generator(Prolog_term_ref t, const char* where);
+
+Parma_Polyhedra_Library::Grid_Generator
+build_grid_generator(Prolog_term_ref t, const char* where);
+
+Prolog_term_ref
+get_linear_expression(const Parma_Polyhedra_Library::Linear_Expression& le);
+
+Prolog_term_ref
+constraint_term(const Parma_Polyhedra_Library::Constraint& c);
+
+Prolog_term_ref
+congruence_term(const Parma_Polyhedra_Library::Congruence& cg);
+
+Prolog_term_ref
+generator_term(const Parma_Polyhedra_Library::Generator& g);
+
+Prolog_term_ref
+grid_generator_term(const Parma_Polyhedra_Library::Grid_Generator& g);
+
+Parma_Polyhedra_Library::Variable
+term_to_Variable(Prolog_term_ref t, const char* where);
+
+Parma_Polyhedra_Library::Coefficient
+term_to_Coefficient(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_optimization_mode(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_control_parameter_name(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_control_parameter_value(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_pip_problem_control_parameter_name(Prolog_term_ref t, const char* where);
+
+Prolog_atom
+term_to_pip_problem_control_parameter_value(Prolog_term_ref t, const char* where);
+
+void
+check_nil_terminating(Prolog_term_ref t, const char* where);
+
+} // namespace Prolog
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+extern "C" Prolog_foreign_return_type
+ppl_version_major(Prolog_term_ref t_v);
+
+extern "C" Prolog_foreign_return_type
+ppl_version_minor(Prolog_term_ref t_v);
+
+extern "C" Prolog_foreign_return_type
+ppl_version_revision(Prolog_term_ref t_v);
+
+extern "C" Prolog_foreign_return_type
+ppl_version_beta(Prolog_term_ref t_v);
+
+extern "C" Prolog_foreign_return_type
+ppl_version(Prolog_term_ref t_v);
+
+extern "C" Prolog_foreign_return_type
+ppl_banner(Prolog_term_ref t_b);
+
+extern "C" Prolog_foreign_return_type
+ppl_max_space_dimension(Prolog_term_ref t_msd);
+
+extern "C" Prolog_foreign_return_type
+ppl_initialize();
+
+extern "C" Prolog_foreign_return_type
+ppl_finalize();
+
+extern "C" Prolog_foreign_return_type
+ppl_set_rounding_for_PPL();
+
+extern "C" Prolog_foreign_return_type
+ppl_restore_pre_PPL_rounding();
+
+extern "C" Prolog_foreign_return_type
+ppl_irrational_precision(Prolog_term_ref t_p);
+
+extern "C" Prolog_foreign_return_type
+ppl_set_irrational_precision(Prolog_term_ref t_p);
+
+extern "C" Prolog_foreign_return_type
+ppl_set_timeout_exception_atom(Prolog_term_ref t_tea);
+
+extern "C" Prolog_foreign_return_type
+ppl_timeout_exception_atom(Prolog_term_ref t);
+
+extern "C" Prolog_foreign_return_type
+ppl_set_timeout(Prolog_term_ref t_csecs);
+
+extern "C" Prolog_foreign_return_type
+ppl_reset_timeout();
+
+extern "C" Prolog_foreign_return_type
+ppl_set_deterministic_timeout(Prolog_term_ref t_unscaled_weight,
+ Prolog_term_ref t_scale);
+
+extern "C" Prolog_foreign_return_type
+ppl_reset_deterministic_timeout();
+
+extern "C" Prolog_foreign_return_type
+ppl_Coefficient_bits(Prolog_term_ref t_bits);
+
+extern "C" Prolog_foreign_return_type
+ppl_Coefficient_is_bounded();
+
+extern "C" Prolog_foreign_return_type
+ppl_Coefficient_min(Prolog_term_ref t_min);
+
+extern "C" Prolog_foreign_return_type
+ppl_Coefficient_max(Prolog_term_ref t_max);
+
+extern "C" Prolog_foreign_return_type
+ppl_new_MIP_Problem_from_space_dimension
+(Prolog_term_ref t_nd, Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_new_MIP_Problem(Prolog_term_ref t_nd,
+ Prolog_term_ref t_clist,
+ Prolog_term_ref t_le_expr,
+ Prolog_term_ref t_opt,
+ Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_new_MIP_Problem_from_MIP_Problem(Prolog_term_ref t_mip_source,
+ Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_swap(Prolog_term_ref t_lhs, Prolog_term_ref t_rhs);
+
+extern "C" Prolog_foreign_return_type
+ppl_delete_MIP_Problem(Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_space_dimension(Prolog_term_ref t_mip, Prolog_term_ref t_sd);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_integer_space_dimensions(Prolog_term_ref t_mip,
+ Prolog_term_ref t_vlist);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_constraints(Prolog_term_ref t_mip,
+ Prolog_term_ref t_clist);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_objective_function(Prolog_term_ref t_mip,
+ Prolog_term_ref t_le_expr);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_optimization_mode(Prolog_term_ref t_mip,
+ Prolog_term_ref t_opt);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_get_control_parameter(Prolog_term_ref t_mip,
+ Prolog_term_ref t_cp_name,
+ Prolog_term_ref t_cp_value);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_clear(Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_add_space_dimensions_and_embed
+(Prolog_term_ref t_mip, Prolog_term_ref t_nnd);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_add_to_integer_space_dimensions(Prolog_term_ref t_mip,
+ Prolog_term_ref t_vlist);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_add_constraint(Prolog_term_ref t_mip, Prolog_term_ref t_c);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_add_constraints(Prolog_term_ref t_mip,
+ Prolog_term_ref t_clist);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_set_objective_function(Prolog_term_ref t_mip,
+ Prolog_term_ref t_le_expr);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_set_optimization_mode(Prolog_term_ref t_mip,
+ Prolog_term_ref t_opt);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_set_control_parameter(Prolog_term_ref t_mip,
+ Prolog_term_ref t_cp_value);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_is_satisfiable(Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_solve(Prolog_term_ref t_mip, Prolog_term_ref t_status);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_feasible_point(Prolog_term_ref t_mip,
+ Prolog_term_ref t_g);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_optimizing_point(Prolog_term_ref t_mip,
+ Prolog_term_ref t_g);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_optimal_value(Prolog_term_ref t_mip,
+ Prolog_term_ref t_n,
+ Prolog_term_ref t_d);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_evaluate_objective_function(Prolog_term_ref t_mip,
+ Prolog_term_ref t_g,
+ Prolog_term_ref t_n,
+ Prolog_term_ref t_d);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_OK(Prolog_term_ref t_mip);
+
+extern "C" Prolog_foreign_return_type
+ppl_MIP_Problem_ascii_dump(Prolog_term_ref t_mip);
+
+
+extern "C" Prolog_foreign_return_type
+ppl_new_PIP_Problem_from_space_dimension(Prolog_term_ref t_nd,
+ Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_new_PIP_Problem_from_PIP_Problem(Prolog_term_ref t_pip_source,
+ Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_new_PIP_Problem(Prolog_term_ref t_dim,
+ Prolog_term_ref t_cs,
+ Prolog_term_ref t_params,
+ Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_swap(Prolog_term_ref t_lhs, Prolog_term_ref t_rhs);
+
+extern "C" Prolog_foreign_return_type
+ppl_delete_PIP_Problem(Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_space_dimension(Prolog_term_ref t_pip, Prolog_term_ref t_sd);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_parameter_space_dimensions(Prolog_term_ref t_pip,
+ Prolog_term_ref t_vlist);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_constraints(Prolog_term_ref t_pip, Prolog_term_ref t_cs);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_get_control_parameter(Prolog_term_ref t_pip,
+ Prolog_term_ref t_cp_name,
+ Prolog_term_ref t_cp_value);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_clear(Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_add_space_dimensions_and_embed
+(Prolog_term_ref t_pip,
+ Prolog_term_ref t_num_vars,
+ Prolog_term_ref t_num_params);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_add_to_parameter_space_dimensions(Prolog_term_ref t_pip,
+ Prolog_term_ref t_vlist);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_add_constraint(Prolog_term_ref t_pip, Prolog_term_ref t_c);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_add_constraints(Prolog_term_ref t_pip,
+ Prolog_term_ref t_clist);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_set_control_parameter(Prolog_term_ref t_pip,
+ Prolog_term_ref t_cp_value);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_is_satisfiable(Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_solve(Prolog_term_ref t_pip, Prolog_term_ref t_status);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_solution(Prolog_term_ref t_pip,
+ Prolog_term_ref t_pip_tree);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_optimizing_solution(Prolog_term_ref t_pip,
+ Prolog_term_ref t_pip_tree);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_has_big_parameter_dimension(Prolog_term_ref t_pip,
+ Prolog_term_ref t_d);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_set_big_parameter_dimension(Prolog_term_ref t_pip,
+ Prolog_term_ref t_d);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_OK(Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Problem_ascii_dump(Prolog_term_ref t_pip);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_constraints(Prolog_term_ref t_tree_node,
+ Prolog_term_ref t_clist);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_is_solution(Prolog_term_ref t_tree_node);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_is_decision(Prolog_term_ref t_tree_node);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_is_bottom(Prolog_term_ref t_tree_node);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_artificials(Prolog_term_ref t_tree_node,
+ Prolog_term_ref t_artlist);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_OK(Prolog_term_ref t_pip_tree);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_parametric_values(Prolog_term_ref t_pip_sol,
+ Prolog_term_ref t_var,
+ Prolog_term_ref t_pvalue_list);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_true_child(Prolog_term_ref t_pip_dec,
+ Prolog_term_ref t_pip_tree);
+
+extern "C" Prolog_foreign_return_type
+ppl_PIP_Tree_Node_false_child(Prolog_term_ref t_pip_dec,
+ Prolog_term_ref t_pip_tree);
+
+using namespace Parma_Polyhedra_Library;
+using namespace Parma_Polyhedra_Library::Interfaces::Prolog;
+
+#include "ppl_prolog_common_inlines.hh"
+
+#endif // !defined(PPL_ppl_prolog_common_defs_hh)
diff --git a/interfaces/Prolog/ppl_prolog_common_inlines.hh b/interfaces/Prolog/ppl_prolog_common_inlines.hh
new file mode 100644
index 0000000..e759bb4
--- /dev/null
+++ b/interfaces/Prolog/ppl_prolog_common_inlines.hh
@@ -0,0 +1,88 @@
+/* Common part of the Prolog interfaces: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_ppl_prolog_common_inlines_hh
+#define PPL_ppl_prolog_common_inlines_hh 1
+
+#if PROLOG_TRACK_ALLOCATION || NOISY_PROLOG_TRACK_ALLOCATION
+
+#include <typeinfo>
+#include <iomanip>
+
+template <typename T>
+void
+Allocation_Tracker::insert(const T* p) {
+#if NOISY_PROLOG_TRACK_ALLOCATION
+ std::cerr << "inserting " << typeid(*p).name()
+ << " at " << std::hex << (void*) p << std::endl;
+#endif
+ std::pair<Set::iterator, bool> stat = s.insert(p);
+ if (!stat.second) {
+ std::cerr << "Interfaces::Prolog::Allocation_Tracker:"
+ " two objects at the same address at the same time?!"
+ << std::endl;
+ abort();
+ }
+}
+
+template <typename T>
+void
+Allocation_Tracker::weak_insert(const T* p) {
+#if NOISY_PROLOG_TRACK_ALLOCATION
+ std::cerr << "inserting weak " << typeid(*p).name()
+ << " at " << std::hex << (void*) p << std::endl;
+#endif
+ weak_s.insert(p);
+}
+
+template <typename T>
+void
+Allocation_Tracker::remove(const T* p) {
+#if NOISY_PROLOG_TRACK_ALLOCATION
+ std::cerr << "removing " << typeid(*p).name()
+ << " at " << std::hex << (void*) p << std::endl;
+#endif
+ if (s.erase(p) != 1) {
+ std::cerr << "Interfaces::Prolog::Allocation_Tracker:"
+ " attempt to deallocate a nonexistent polyhedron."
+ << std::endl;
+ abort();
+ }
+}
+
+template <typename T>
+void
+Allocation_Tracker::check(const T* p) const {
+ if (s.find(p) == s.end()
+ && weak_s.find(p) == weak_s.end()) {
+ std::cerr << "Interfaces::Prolog::Allocation_Tracker:"
+ " attempt to access a nonexistent "
+ << typeid(*p).name()
+ << " at " << std::hex << (void*) p << std::endl;
+ abort();
+ }
+}
+
+#endif // PROLOG_TRACK_ALLOCATION || NOISY_PROLOG_TRACK_ALLOCATION
+
+#endif // !defined(PPL_ppl_prolog_common_inlines_hh)
diff --git a/interfaces/Prolog/tests/Makefile.am b/interfaces/Prolog/tests/Makefile.am
index df2f4eb..dc574e6 100644
--- a/interfaces/Prolog/tests/Makefile.am
+++ b/interfaces/Prolog/tests/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/interfaces/Prolog/tests/Makefile.in b/interfaces/Prolog/tests/Makefile.in
index a89bb99..53ace2d 100644
--- a/interfaces/Prolog/tests/Makefile.in
+++ b/interfaces/Prolog/tests/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -57,7 +73,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = interfaces/Prolog/tests
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -90,14 +107,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -385,6 +413,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
diff --git a/interfaces/Prolog/tests/clpq.pl b/interfaces/Prolog/tests/clpq.pl
index b97f422..776dba3 100644
--- a/interfaces/Prolog/tests/clpq.pl
+++ b/interfaces/Prolog/tests/clpq.pl
@@ -2,7 +2,7 @@
% for testing the Parma Polyhedra Library and its Prolog interface.
%
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This file is part of the Parma Polyhedra Library (PPL).
%
@@ -45,9 +45,9 @@ solve(Goals, Variable_Names) :-
ppl_new_C_Polyhedron_from_space_dimension(Dims, universe, Polyhedron),
% Try to reduce `Goals' to the empty continuation.
(solve(Goals, true, Polyhedron) ->
- Failed = no
+ Failed = no
;
- Failed = yes
+ Failed = yes
),
% On failure, cleanup must occur anyway.
% The one who creates the polyhedron must delete it.
@@ -116,9 +116,9 @@ solve(Atom, Goals, Polyhedron) :-
% Try to solve the body augmented with the parameter passing equations.
(solve(PP_Constraints, (Body, Goals), Poly_Copy) ->
- Failed = no
+ Failed = no
;
- Failed = yes
+ Failed = yes
),
% Our copy must be thrown anyway.
ppl_delete_Polyhedron(Poly_Copy),
@@ -129,18 +129,18 @@ parameter_passing(Atom, Head, PP_Constraints) :-
Atom =.. [_|Actuals],
Head =.. [_|Formals],
(Actuals == [] ->
- PP_Constraints = true
+ PP_Constraints = true
;
- build_pp_constraints(Actuals, Formals, Equations),
- PP_Constraints = ({ Equations })
+ build_pp_constraints(Actuals, Formals, Equations),
+ PP_Constraints = ({ Equations })
).
build_pp_constraints([A|Actuals], [F|Formals], Equations) :-
(Actuals == [] ->
- Equations = (A = F)
+ Equations = (A = F)
;
- Equations = ((A = F), More_Equations),
- build_pp_constraints(Actuals, Formals, More_Equations)
+ Equations = ((A = F), More_Equations),
+ build_pp_constraints(Actuals, Formals, More_Equations)
).
select_clause(Atom, Head, Body) :-
@@ -265,8 +265,8 @@ main_loop :-
% get rid of it.
eat_eol,
catch(do_command(Command, VN),
- Exception,
- (print_exception_term(Exception), main_loop_no)).
+ Exception,
+ (print_exception_term(Exception), main_loop_no)).
print_exception_term(ppl_overflow_error(Cause)) :-
nl,
@@ -795,7 +795,7 @@ POSSIBILITY OF SUCH DAMAGES.\n').
common_main :-
write('\
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>\n\
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)\n\
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)\n\
this program is free software, covered by the GNU General Public License,\n\
and you are welcome to change it and/or distribute copies of it\n\
under certain conditions.\n\
diff --git a/interfaces/Prolog/tests/clpq2.pl b/interfaces/Prolog/tests/clpq2.pl
index 2a7ae82..be5b062 100644
--- a/interfaces/Prolog/tests/clpq2.pl
+++ b/interfaces/Prolog/tests/clpq2.pl
@@ -2,7 +2,7 @@
% for testing the Parma Polyhedra Library and its Prolog interface.
%
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This file is part of the Parma Polyhedra Library (PPL).
%
@@ -348,8 +348,8 @@ main_loop :-
read_term(Command, [variable_names(VN)]),
eat_eol,
catch(do_command(Command, VN),
- Exception,
- (print_exception_term(Exception), main_loop_no)).
+ Exception,
+ (print_exception_term(Exception), main_loop_no)).
print_exception_term(ppl_overflow_error(Cause)) :-
nl,
@@ -1112,7 +1112,7 @@ POSSIBILITY OF SUCH DAMAGES.\n').
common_main :-
write('\
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>\n\
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)\n\
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)\n\
this program is free software, covered by the GNU General Public License,\n\
and you are welcome to change it and/or distribute copies of it\n\
under certain conditions.\n\
diff --git a/interfaces/Prolog/tests/expected_clpq2_int16 b/interfaces/Prolog/tests/expected_clpq2_int16
index 97834f0..e9a54c1 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int16
+++ b/interfaces/Prolog/tests/expected_clpq2_int16
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int16_a b/interfaces/Prolog/tests/expected_clpq2_int16_a
index a29bc3a..f6ffe89 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int16_a
+++ b/interfaces/Prolog/tests/expected_clpq2_int16_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int32 b/interfaces/Prolog/tests/expected_clpq2_int32
index 7505ea6..fe5dbcc 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int32
+++ b/interfaces/Prolog/tests/expected_clpq2_int32
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int32_a b/interfaces/Prolog/tests/expected_clpq2_int32_a
index ca82946..8342abe 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int32_a
+++ b/interfaces/Prolog/tests/expected_clpq2_int32_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int64 b/interfaces/Prolog/tests/expected_clpq2_int64
index 7505ea6..fe5dbcc 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int64
+++ b/interfaces/Prolog/tests/expected_clpq2_int64
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int64_a b/interfaces/Prolog/tests/expected_clpq2_int64_a
index 7505ea6..fe5dbcc 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int64_a
+++ b/interfaces/Prolog/tests/expected_clpq2_int64_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int8 b/interfaces/Prolog/tests/expected_clpq2_int8
index 8696719..58a46aa 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int8
+++ b/interfaces/Prolog/tests/expected_clpq2_int8
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_int8_a b/interfaces/Prolog/tests/expected_clpq2_int8_a
index 8696719..58a46aa 100644
--- a/interfaces/Prolog/tests/expected_clpq2_int8_a
+++ b/interfaces/Prolog/tests/expected_clpq2_int8_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_mpz b/interfaces/Prolog/tests/expected_clpq2_mpz
index 7505ea6..fe5dbcc 100644
--- a/interfaces/Prolog/tests/expected_clpq2_mpz
+++ b/interfaces/Prolog/tests/expected_clpq2_mpz
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq2_mpz_a b/interfaces/Prolog/tests/expected_clpq2_mpz_a
index 7505ea6..fe5dbcc 100644
--- a/interfaces/Prolog/tests/expected_clpq2_mpz_a
+++ b/interfaces/Prolog/tests/expected_clpq2_mpz_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int16 b/interfaces/Prolog/tests/expected_clpq_int16
index 029dfb2..1c4f9a1 100644
--- a/interfaces/Prolog/tests/expected_clpq_int16
+++ b/interfaces/Prolog/tests/expected_clpq_int16
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int16_a b/interfaces/Prolog/tests/expected_clpq_int16_a
index 029dfb2..1c4f9a1 100644
--- a/interfaces/Prolog/tests/expected_clpq_int16_a
+++ b/interfaces/Prolog/tests/expected_clpq_int16_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int32 b/interfaces/Prolog/tests/expected_clpq_int32
index dc31695..4f4a21c 100644
--- a/interfaces/Prolog/tests/expected_clpq_int32
+++ b/interfaces/Prolog/tests/expected_clpq_int32
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int32_a b/interfaces/Prolog/tests/expected_clpq_int32_a
index dc31695..4f4a21c 100644
--- a/interfaces/Prolog/tests/expected_clpq_int32_a
+++ b/interfaces/Prolog/tests/expected_clpq_int32_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int64 b/interfaces/Prolog/tests/expected_clpq_int64
index dc31695..4f4a21c 100644
--- a/interfaces/Prolog/tests/expected_clpq_int64
+++ b/interfaces/Prolog/tests/expected_clpq_int64
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int64_a b/interfaces/Prolog/tests/expected_clpq_int64_a
index dc31695..4f4a21c 100644
--- a/interfaces/Prolog/tests/expected_clpq_int64_a
+++ b/interfaces/Prolog/tests/expected_clpq_int64_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int8 b/interfaces/Prolog/tests/expected_clpq_int8
index 11395d8..d3a38b7 100644
--- a/interfaces/Prolog/tests/expected_clpq_int8
+++ b/interfaces/Prolog/tests/expected_clpq_int8
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_int8_a b/interfaces/Prolog/tests/expected_clpq_int8_a
index 11395d8..d3a38b7 100644
--- a/interfaces/Prolog/tests/expected_clpq_int8_a
+++ b/interfaces/Prolog/tests/expected_clpq_int8_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_mpz b/interfaces/Prolog/tests/expected_clpq_mpz
index dc31695..4f4a21c 100644
--- a/interfaces/Prolog/tests/expected_clpq_mpz
+++ b/interfaces/Prolog/tests/expected_clpq_mpz
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/expected_clpq_mpz_a b/interfaces/Prolog/tests/expected_clpq_mpz_a
index dc31695..4f4a21c 100644
--- a/interfaces/Prolog/tests/expected_clpq_mpz_a
+++ b/interfaces/Prolog/tests/expected_clpq_mpz_a
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
this program is free software, covered by the GNU General Public License,
and you are welcome to change it and/or distribute copies of it
under certain conditions.
diff --git a/interfaces/Prolog/tests/pl_check.pl b/interfaces/Prolog/tests/pl_check.pl
index 4235caa..6f1cd84 100644
--- a/interfaces/Prolog/tests/pl_check.pl
+++ b/interfaces/Prolog/tests/pl_check.pl
@@ -1,6 +1,6 @@
/* Various tests on the Prolog interface.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -101,20 +101,20 @@ run_fail(Group) :-
% the exception was thrown and then it fails.
run_exception(Group, Exception) :-
- group_predicates(Group, Predicates),
- (Exception = ppl_overflow_error(_) ->
- Kind = 'Overflow exception'
- ;
- Kind = 'Exception'
- ),
+ group_predicates(Group, Predicates),
+ (Exception = ppl_overflow_error(_) ->
+ Kind = 'Overflow exception'
+ ;
+ Kind = 'Exception'
+ ),
prolog_system(System),
- display_message([Kind, 'occurred while performing test ', Group,
+ display_message([Kind, 'occurred while performing test ', Group,
'which checks predicates ', nl, Predicates]),
display_message(['Prolog interface checks failed on', System,
'Prolog.']),
- print_exception_term(Exception),
- % Do fail for all but overflow exceptions.
- Exception = ppl_overflow_error(_).
+ print_exception_term(Exception),
+ % Do fail for all but overflow exceptions.
+ Exception = ppl_overflow_error(_).
% run_one/1
% Runs the named group of tests.
@@ -1835,7 +1835,7 @@ termination_test :-
-A + C >= 0,
-B + D >= 1,
B >= 0],
- P2),
+ P2),
ppl_termination_test_NNC_Polyhedron_MS(P2),
ppl_termination_test_NNC_Polyhedron_PR(P2),
!,
diff --git a/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl.m4 b/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl.m4
index a4dff11..4dd1b2d 100644
--- a/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl.m4
+++ b/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl.m4
@@ -6,7 +6,7 @@ dnl ppl_prolog_generated_test_<CLASS_NAME>.pl using the code in
dnl ppl_interface_generator_prolog_generated_test_pl_code.m4.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl_code.m4 b/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl_code.m4
index 1ae5385..60b940c 100644
--- a/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl_code.m4
+++ b/interfaces/Prolog/tests/ppl_interface_generator_prolog_generated_test_pl_code.m4
@@ -6,7 +6,7 @@ dnl the generated Prolog interface predicates
dnl and the main file ppl_prolog_generated_test_main.pl.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/Prolog/tests/ppl_prolog_generated_test_common.pl b/interfaces/Prolog/tests/ppl_prolog_generated_test_common.pl
index 6a0a5dc..985f2cf 100644
--- a/interfaces/Prolog/tests/ppl_prolog_generated_test_common.pl
+++ b/interfaces/Prolog/tests/ppl_prolog_generated_test_common.pl
@@ -1,6 +1,6 @@
% Extra test code for the generated tests for the Prolog interfaces.
% Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-% Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+% Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
%
% This file is part of the Parma Polyhedra Library (PPL).
%
diff --git a/interfaces/Prolog/tests/smm.clpq b/interfaces/Prolog/tests/smm.clpq
index bdfd2ff..d6c608b 100644
--- a/interfaces/Prolog/tests/smm.clpq
+++ b/interfaces/Prolog/tests/smm.clpq
@@ -10,22 +10,22 @@
% M O N E Y
solve(S, E, N, D, M, O, R, Y) :-
- constraints(S, E, N, D, M, O, R, Y).
+ constraints(S, E, N, D, M, O, R, Y).
constraints(S, E, N, D, M, O, R, Y) :-
{
- S >= 0, E >= 0, N >= 0, D >= 0, M >= 0, O >= 0, R >= 0, Y >= 0,
- S =< 9, E =< 9, N =< 9, D =< 9, M =< 9, O =< 9, R =< 9, Y =< 9,
- S >= 1, M >= 1,
- C1 >= 0, C2 >= 0, C3 >= 0, C4 >= 0,
- C1 =< 1, C2 =< 1, C3 =< 1, C4 =< 1,
- M = C1,
- C2 + S + M = O + C1 * 10,
- C3 + E + O = N + 10 * C2,
- C4 + N + R = E + 10 * C3,
- D + E = Y + 10*C4
+ S >= 0, E >= 0, N >= 0, D >= 0, M >= 0, O >= 0, R >= 0, Y >= 0,
+ S =< 9, E =< 9, N =< 9, D =< 9, M =< 9, O =< 9, R =< 9, Y =< 9,
+ S >= 1, M >= 1,
+ C1 >= 0, C2 >= 0, C3 >= 0, C4 >= 0,
+ C1 =< 1, C2 =< 1, C3 =< 1, C4 =< 1,
+ M = C1,
+ C2 + S + M = O + C1 * 10,
+ C3 + E + O = N + 10 * C2,
+ C4 + N + R = E + 10 * C3,
+ D + E = Y + 10*C4
},
- bit(C1), bit(C2), bit(C3), bit(C4).
+ bit(C1), bit(C2), bit(C3), bit(C4).
bit(0).
bit(1).
diff --git a/interfaces/interfaced_boxes.hh b/interfaces/interfaced_boxes.hh
index 4a85668..7293f5b 100644
--- a/interfaces/interfaced_boxes.hh
+++ b/interfaces/interfaced_boxes.hh
@@ -1,7 +1,7 @@
/* Declarations for the Box instantiations offered by the non-templatic
language interfaces.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/marked_pointers.hh b/interfaces/marked_pointers.hh
index 82c97d9..86a365d 100644
--- a/interfaces/marked_pointers.hh
+++ b/interfaces/marked_pointers.hh
@@ -1,7 +1,7 @@
/* Implementation of marked pointers for use in some PPL non-templatic
language interfaces.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/interfaces/ppl_interface_generator_common.m4 b/interfaces/ppl_interface_generator_common.m4
index 5442747..8b3cd1a 100644
--- a/interfaces/ppl_interface_generator_common.m4
+++ b/interfaces/ppl_interface_generator_common.m4
@@ -5,7 +5,7 @@ dnl - application independent helper macros used here and by other m4 files.
dnl - defining the main code generation macro m4_all_code.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/ppl_interface_generator_common_dat.m4 b/interfaces/ppl_interface_generator_common_dat.m4
index 099795a..d887eb8 100644
--- a/interfaces/ppl_interface_generator_common_dat.m4
+++ b/interfaces/ppl_interface_generator_common_dat.m4
@@ -6,7 +6,7 @@ dnl - the control of the procedures to be generated for each class;
dnl - the replacements for the patterns in the code files.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/ppl_interface_generator_common_procedure_generators.m4 b/interfaces/ppl_interface_generator_common_procedure_generators.m4
index 2e89423..47f5282 100644
--- a/interfaces/ppl_interface_generator_common_procedure_generators.m4
+++ b/interfaces/ppl_interface_generator_common_procedure_generators.m4
@@ -4,7 +4,7 @@ dnl This m4 file defines the list of the procedures generated
dnl that are independent of the interface being generated.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/interfaces/ppl_interface_generator_copyright b/interfaces/ppl_interface_generator_copyright
index 8f392fb..ec4176b 100644
--- a/interfaces/ppl_interface_generator_copyright
+++ b/interfaces/ppl_interface_generator_copyright
@@ -1,5 +1,5 @@
` Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/m4/Makefile.am b/m4/Makefile.am
index f09ad18..397ae4a 100644
--- a/m4/Makefile.am
+++ b/m4/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/m4/Makefile.in b/m4/Makefile.in
index 1a6bad5..d9ea992 100644
--- a/m4/Makefile.in
+++ b/m4/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -58,7 +74,8 @@ POST_UNINSTALL = :
build_triplet = @build@
host_triplet = @host@
subdir = m4
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -91,14 +108,25 @@ mkinstalldirs = $(SHELL) $(top_srcdir)/mkinstalldirs
CONFIG_HEADER = $(top_builddir)/config.h
CONFIG_CLEAN_FILES =
CONFIG_CLEAN_VPATH_FILES =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
AM_V_GEN = $(am__v_GEN_ at AM_V@)
am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
AM_V_at = $(am__v_at_ at AM_V@)
am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
am__v_at_0 = @
+am__v_at_1 =
SOURCES =
DIST_SOURCES =
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
am__vpath_adj = case $$p in \
$(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
@@ -400,8 +428,11 @@ clean-libtool:
-rm -rf .libs _libs
install-m4dataDATA: $(m4data_DATA)
@$(NORMAL_INSTALL)
- test -z "$(m4datadir)" || $(MKDIR_P) "$(DESTDIR)$(m4datadir)"
@list='$(m4data_DATA)'; test -n "$(m4datadir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(m4datadir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(m4datadir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -422,6 +453,8 @@ TAGS:
ctags: CTAGS
CTAGS:
+cscope cscopelist:
+
distdir: $(DISTFILES)
@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
diff --git a/m4/ac_check_ciao.m4 b/m4/ac_check_ciao.m4
index 6d070b5..265596c 100644
--- a/m4/ac_check_ciao.m4
+++ b/m4/ac_check_ciao.m4
@@ -1,6 +1,6 @@
dnl A function to check for the existence and usability of Ciao-Prolog.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_check_fpu_control.m4 b/m4/ac_check_fpu_control.m4
index 1541051..806d2f0 100644
--- a/m4/ac_check_fpu_control.m4
+++ b/m4/ac_check_fpu_control.m4
@@ -1,6 +1,6 @@
dnl A function to check for the possibility to control the FPU.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_check_gmp.m4 b/m4/ac_check_gmp.m4
index 5ceb585..39b6513 100644
--- a/m4/ac_check_gmp.m4
+++ b/m4/ac_check_gmp.m4
@@ -1,6 +1,6 @@
dnl A function to check for the existence and usability of GMP.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_check_sicstus_prolog.m4 b/m4/ac_check_sicstus_prolog.m4
index d74438d..764e9d7 100644
--- a/m4/ac_check_sicstus_prolog.m4
+++ b/m4/ac_check_sicstus_prolog.m4
@@ -1,6 +1,6 @@
dnl A function to check for the existence and usability of SICStus Prolog.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_check_swi_prolog.m4 b/m4/ac_check_swi_prolog.m4
index 8ea56fd..e6df9b0 100644
--- a/m4/ac_check_swi_prolog.m4
+++ b/m4/ac_check_swi_prolog.m4
@@ -1,6 +1,6 @@
dnl A function to check for the existence and usability of SWI-Prolog.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_check_xsb_prolog.m4 b/m4/ac_check_xsb_prolog.m4
index c40335a..c0ff9ad 100644
--- a/m4/ac_check_xsb_prolog.m4
+++ b/m4/ac_check_xsb_prolog.m4
@@ -1,6 +1,6 @@
dnl A function to check for the existence and usability of XSB Prolog.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_check_yap.m4 b/m4/ac_check_yap.m4
index 0b87156..e95665c 100644
--- a/m4/ac_check_yap.m4
+++ b/m4/ac_check_yap.m4
@@ -1,6 +1,6 @@
dnl A function to check for the existence and usability of YAP Prolog.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_attribute_weak.m4 b/m4/ac_cxx_attribute_weak.m4
index e29c033..34e6596 100644
--- a/m4/ac_cxx_attribute_weak.m4
+++ b/m4/ac_cxx_attribute_weak.m4
@@ -1,7 +1,7 @@
dnl A function to check whether the C++ compiler supports the function
dnl __attribute__ ((weak)).
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_double_binary_format.m4 b/m4/ac_cxx_double_binary_format.m4
index 3f06137..83c8ec7 100644
--- a/m4/ac_cxx_double_binary_format.m4
+++ b/m4/ac_cxx_double_binary_format.m4
@@ -1,6 +1,6 @@
dnl A function to detect the binary format used by C++ doubles.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_float_binary_format.m4 b/m4/ac_cxx_float_binary_format.m4
index ea6ad69..8427bcc 100644
--- a/m4/ac_cxx_float_binary_format.m4
+++ b/m4/ac_cxx_float_binary_format.m4
@@ -1,6 +1,6 @@
dnl A function to detect the binary format used by C++ floats.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_ieee_inexact_flag.m4 b/m4/ac_cxx_ieee_inexact_flag.m4
index 433c7ea..e05bfb6 100644
--- a/m4/ac_cxx_ieee_inexact_flag.m4
+++ b/m4/ac_cxx_ieee_inexact_flag.m4
@@ -1,7 +1,7 @@
dnl A function to check whether the IEEE inexact flag is supported and
dnl available to C++ programs.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_limit_memory.m4 b/m4/ac_cxx_limit_memory.m4
index df4b450..fcf8ec8 100644
--- a/m4/ac_cxx_limit_memory.m4
+++ b/m4/ac_cxx_limit_memory.m4
@@ -1,7 +1,7 @@
dnl A function to check whether it is possible to limit the memory
dnl available to processes using setrlimit().
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_long_double_binary_format.m4 b/m4/ac_cxx_long_double_binary_format.m4
index 588d4b3..bc6cc49 100644
--- a/m4/ac_cxx_long_double_binary_format.m4
+++ b/m4/ac_cxx_long_double_binary_format.m4
@@ -1,6 +1,6 @@
dnl A function to detect the binary format used by C++ long doubles.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -314,7 +314,30 @@ fi
AC_MSG_RESULT($ac_cxx_long_double_binary_format)
-if test x"$ac_cxx_long_double_binary_format" = x"unknown" || test $ac_cv_can_control_fpu = 0
+AC_MSG_CHECKING([whether std::floor(long double) is buggy])
+AC_RUN_IFELSE([AC_LANG_SOURCE([[#include <cmath>
+#include <cstdlib>
+
+long double x = 13311002825915415087.0L;
+
+int main() {
+ long double y = std::floor(x);
+ if (x != y)
+ return 1;
+ else
+ return 0;
+}
+ ]])],
+ ac_std_floor_long_double_is_buggy=no
+ AC_MSG_RESULT(no),
+ ac_std_floor_long_double_is_buggy=yes
+ AC_MSG_RESULT(yes),
+ ac_std_floor_long_double_is_buggy=no
+ AC_MSG_RESULT([assuming is not]))
+
+if test x"$ac_cxx_long_double_binary_format" = x"unknown" \
+|| test $ac_cv_can_control_fpu = 0 \
+|| test x"$ac_std_floor_long_double_is_buggy" = x"yes"
then
ac_supported_long_double=0
else
diff --git a/m4/ac_cxx_plain_char_is_signed.m4 b/m4/ac_cxx_plain_char_is_signed.m4
index 2328975..81b6fed 100644
--- a/m4/ac_cxx_plain_char_is_signed.m4
+++ b/m4/ac_cxx_plain_char_is_signed.m4
@@ -1,6 +1,6 @@
dnl A function to check whether the plain char type is signed.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_proper_long_double.m4 b/m4/ac_cxx_proper_long_double.m4
index 23a4b6d..17432aa 100644
--- a/m4/ac_cxx_proper_long_double.m4
+++ b/m4/ac_cxx_proper_long_double.m4
@@ -1,7 +1,7 @@
dnl A function to check whether the C++ compiler provides long double
dnl numbers that have bigger range or precision than double.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_cxx_zero_length_arrays.m4 b/m4/ac_cxx_zero_length_arrays.m4
index 116d24d..33d5a98 100644
--- a/m4/ac_cxx_zero_length_arrays.m4
+++ b/m4/ac_cxx_zero_length_arrays.m4
@@ -1,6 +1,6 @@
dnl A function to check whether the C++ compiler supports zero-length arrays.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ac_prog_jar.m4 b/m4/ac_prog_jar.m4
index 1cdbb02..7e0f9b2 100644
--- a/m4/ac_prog_jar.m4
+++ b/m4/ac_prog_jar.m4
@@ -36,7 +36,7 @@
#
# Copyright (C) 2000 Egon Willighagen <e.willighagen at science.ru.nl>
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# Copying and distribution of this file, with or without
# modification, are permitted in any medium without royalty provided
diff --git a/m4/ac_prog_java.m4 b/m4/ac_prog_java.m4
index cd405f3..5205c79 100644
--- a/m4/ac_prog_java.m4
+++ b/m4/ac_prog_java.m4
@@ -23,7 +23,7 @@
#
# Copyright (C) 2000 Stephane Bortzmeyer <bortzmeyer at pasteur.fr>
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License as
diff --git a/m4/ac_prog_javac.m4 b/m4/ac_prog_javac.m4
index 9d2a584..7a9a9b6 100644
--- a/m4/ac_prog_javac.m4
+++ b/m4/ac_prog_javac.m4
@@ -1,6 +1,6 @@
dnl A function to check whether the Java compiler supports enums.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
@@ -98,7 +98,7 @@ AC_PROVIDE([$0])dnl
#
# Copyright (c) 2000 Stephane Bortzmeyer <bortzmeyer at pasteur.fr>
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License as
diff --git a/m4/ac_prog_javah.m4 b/m4/ac_prog_javah.m4
index 04241cf..0525349 100644
--- a/m4/ac_prog_javah.m4
+++ b/m4/ac_prog_javah.m4
@@ -18,7 +18,7 @@
#
# Copyright (C) 2002 Luc Maisonobe <luc at spaceroots.org>
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# Copying and distribution of this file, with or without
# modification, are permitted in any medium without royalty provided
diff --git a/m4/ac_text_md5sum.m4 b/m4/ac_text_md5sum.m4
index 9156dc9..d1c77d7 100644
--- a/m4/ac_text_md5sum.m4
+++ b/m4/ac_text_md5sum.m4
@@ -1,6 +1,6 @@
dnl A function to set the command for computing the MD5 checksum of text files.
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ppl.m4 b/m4/ppl.m4
index e3ec23b..6259ce4 100644
--- a/m4/ppl.m4
+++ b/m4/ppl.m4
@@ -2,7 +2,7 @@ dnl A function to test for the existence and usability of particular
dnl versions of the PPL, defining macros containing the required paths.
dnl Copyright (C) 1997 Owen Taylor
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/m4/ppl_c.m4 b/m4/ppl_c.m4
index 69277b3..8680612 100644
--- a/m4/ppl_c.m4
+++ b/m4/ppl_c.m4
@@ -3,7 +3,7 @@ dnl versions of the C interface of the PPL, defining macros containing
dnl the required paths.
dnl Copyright (C) 1997 Owen Taylor
dnl Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-dnl Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+dnl Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
dnl
dnl This file is part of the Parma Polyhedra Library (PPL).
dnl
diff --git a/ppl-config.h.in b/ppl-config.h.in
index b8f71c0..e69de29 100644
--- a/ppl-config.h.in
+++ b/ppl-config.h.in
@@ -1,411 +0,0 @@
-/* config.h.in. Generated from configure.ac by autoheader. */
-
-
-/* BEGIN ppl-config.h */
-
-#ifndef PPL_ppl_config_h
-#define PPL_ppl_config_h 1
-
-/* Unique (nonzero) code for the IEEE 754 Single Precision
- floating point format. */
-#define PPL_FLOAT_IEEE754_SINGLE 1
-
-/* Unique (nonzero) code for the IEEE 754 Double Precision
- floating point format. */
-#define PPL_FLOAT_IEEE754_DOUBLE 2
-
-/* Unique (nonzero) code for the IEEE 754 Quad Precision
- floating point format. */
-#define PPL_FLOAT_IEEE754_QUAD 3
-
-/* Unique (nonzero) code for the Intel Double-Extended
- floating point format. */
-#define PPL_FLOAT_INTEL_DOUBLE_EXTENDED 4
-
-
-/* Define if building universal (internal helper macro) */
-#undef AC_APPLE_UNIVERSAL_BUILD
-
-/* Define to 1 if you have the declaration of `ffs', and to 0 if you don't. */
-#undef PPL_HAVE_DECL_FFS
-
-/* Define to 1 if you have the declaration of `fma', and to 0 if you don't. */
-#undef PPL_HAVE_DECL_FMA
-
-/* Define to 1 if you have the declaration of `fmaf', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_FMAF
-
-/* Define to 1 if you have the declaration of `fmal', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_FMAL
-
-/* Define to 1 if you have the declaration of `getenv', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_GETENV
-
-/* Define to 1 if you have the declaration of `getrusage', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_GETRUSAGE
-
-/* Define to 1 if you have the declaration of `rintf', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_RINTF
-
-/* Define to 1 if you have the declaration of `rintl', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_RINTL
-
-/* Define to 1 if you have the declaration of `RLIMIT_AS', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_RLIMIT_AS
-
-/* Define to 1 if you have the declaration of `RLIMIT_DATA', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_RLIMIT_DATA
-
-/* Define to 1 if you have the declaration of `RLIMIT_RSS', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_RLIMIT_RSS
-
-/* Define to 1 if you have the declaration of `RLIMIT_VMEM', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_RLIMIT_VMEM
-
-/* Define to 1 if you have the declaration of `setitimer', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_SETITIMER
-
-/* Define to 1 if you have the declaration of `setrlimit', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_SETRLIMIT
-
-/* Define to 1 if you have the declaration of `sigaction', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_SIGACTION
-
-/* Define to 1 if you have the declaration of `strtod', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_STRTOD
-
-/* Define to 1 if you have the declaration of `strtof', and to 0 if you don't.
- */
-#undef PPL_HAVE_DECL_STRTOF
-
-/* Define to 1 if you have the declaration of `strtold', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_STRTOLD
-
-/* Define to 1 if you have the declaration of `strtoll', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_STRTOLL
-
-/* Define to 1 if you have the declaration of `strtoull', and to 0 if you
- don't. */
-#undef PPL_HAVE_DECL_STRTOULL
-
-/* Define to 1 if you have the <dlfcn.h> header file. */
-#undef PPL_HAVE_DLFCN_H
-
-/* Define to 1 if you have the <fenv.h> header file. */
-#undef PPL_HAVE_FENV_H
-
-/* Define to 1 if you have the <getopt.h> header file. */
-#undef PPL_HAVE_GETOPT_H
-
-/* Define to 1 if you have the <glpk/glpk.h> header file. */
-#undef PPL_HAVE_GLPK_GLPK_H
-
-/* Define to 1 if you have the <glpk.h> header file. */
-#undef PPL_HAVE_GLPK_H
-
-/* Define to 1 if you have the <ieeefp.h> header file. */
-#undef PPL_HAVE_IEEEFP_H
-
-/* Define to 1 if you have the <inttypes.h> header file. */
-#undef PPL_HAVE_INTTYPES_H
-
-/* Define to 1 if the system has the type `int_fast16_t'. */
-#undef PPL_HAVE_INT_FAST16_T
-
-/* Define to 1 if the system has the type `int_fast32_t'. */
-#undef PPL_HAVE_INT_FAST32_T
-
-/* Define to 1 if the system has the type `int_fast64_t'. */
-#undef PPL_HAVE_INT_FAST64_T
-
-/* Define to 1 if you have the <memory.h> header file. */
-#undef PPL_HAVE_MEMORY_H
-
-/* Define to 1 if the system has the type `siginfo_t'. */
-#undef PPL_HAVE_SIGINFO_T
-
-/* Define to 1 if you have the <signal.h> header file. */
-#undef PPL_HAVE_SIGNAL_H
-
-/* Define to 1 if you have the <stdint.h> header file. */
-#undef PPL_HAVE_STDINT_H
-
-/* Define to 1 if you have the <stdlib.h> header file. */
-#undef PPL_HAVE_STDLIB_H
-
-/* Define to 1 if you have the <strings.h> header file. */
-#undef PPL_HAVE_STRINGS_H
-
-/* Define to 1 if you have the <string.h> header file. */
-#undef PPL_HAVE_STRING_H
-
-/* Define to 1 if you have the <sys/resource.h> header file. */
-#undef PPL_HAVE_SYS_RESOURCE_H
-
-/* Define to 1 if you have the <sys/stat.h> header file. */
-#undef PPL_HAVE_SYS_STAT_H
-
-/* Define to 1 if you have the <sys/time.h> header file. */
-#undef PPL_HAVE_SYS_TIME_H
-
-/* Define to 1 if you have the <sys/types.h> header file. */
-#undef PPL_HAVE_SYS_TYPES_H
-
-/* Define to 1 if the system has the type `timeval'. */
-#undef PPL_HAVE_TIMEVAL
-
-/* Define to 1 if typeof works with your compiler. */
-#undef PPL_HAVE_TYPEOF
-
-/* Define to 1 if the system has the type `uintptr_t'. */
-#undef PPL_HAVE_UINTPTR_T
-
-/* Define to 1 if the system has the type `uint_fast16_t'. */
-#undef PPL_HAVE_UINT_FAST16_T
-
-/* Define to 1 if the system has the type `uint_fast32_t'. */
-#undef PPL_HAVE_UINT_FAST32_T
-
-/* Define to 1 if the system has the type `uint_fast64_t'. */
-#undef PPL_HAVE_UINT_FAST64_T
-
-/* Define to 1 if you have the <unistd.h> header file. */
-#undef PPL_HAVE_UNISTD_H
-
-/* Define to 1 if `_mp_alloc' is a member of `__mpz_struct'. */
-#undef PPL_HAVE___MPZ_STRUCT__MP_ALLOC
-
-/* Define to 1 if `_mp_d' is a member of `__mpz_struct'. */
-#undef PPL_HAVE___MPZ_STRUCT__MP_D
-
-/* Define to 1 if `_mp_size' is a member of `__mpz_struct'. */
-#undef PPL_HAVE___MPZ_STRUCT__MP_SIZE
-
-/* Define to the sub-directory in which libtool stores uninstalled libraries.
- */
-#undef LT_OBJDIR
-
-/* Define to the address where bug reports for this package should be sent. */
-#undef PPL_PACKAGE_BUGREPORT
-
-/* Define to the full name of this package. */
-#undef PPL_PACKAGE_NAME
-
-/* Define to the full name and version of this package. */
-#undef PPL_PACKAGE_STRING
-
-/* Define to the one symbol short name of this package. */
-#undef PPL_PACKAGE_TARNAME
-
-/* Define to the home page for this package. */
-#undef PACKAGE_URL
-
-/* Define to the version of this package. */
-#undef PPL_PACKAGE_VERSION
-
-/* ABI-breaking extra assertions are enabled when this is defined. */
-#undef PPL_ABI_BREAKING_EXTRA_DEBUG
-
-/* Not zero if the FPU can be controlled. */
-#undef PPL_CAN_CONTROL_FPU
-
-/* Defined if the integral type to be used for coefficients is a checked one.
- */
-#undef PPL_CHECKED_INTEGERS
-
-/* The number of bits of coefficients; 0 if unbounded. */
-#undef PPL_COEFFICIENT_BITS
-
-/* The integral type used to represent coefficients. */
-#undef PPL_COEFFICIENT_TYPE
-
-/* This contains the options with which `configure' was invoked. */
-#undef PPL_CONFIGURE_OPTIONS
-
-/* The unique code of the binary format of C++ doubles, if supported;
- undefined otherwise. */
-#undef PPL_CXX_DOUBLE_BINARY_FORMAT
-
-/* The binary format of C++ floats, if supported; undefined otherwise. */
-#undef PPL_CXX_FLOAT_BINARY_FORMAT
-
-/* The unique code of the binary format of C++ long doubles, if supported;
- undefined otherwise. */
-#undef PPL_CXX_LONG_DOUBLE_BINARY_FORMAT
-
-/* Not zero if the the plain char type is signed. */
-#undef PPL_CXX_PLAIN_CHAR_IS_SIGNED
-
-/* Not zero if the C++ compiler provides long double numbers that have bigger
- range or precision than double. */
-#undef PPL_CXX_PROVIDES_PROPER_LONG_DOUBLE
-
-/* Not zero if the C++ compiler supports __attribute__ ((weak)). */
-#undef PPL_CXX_SUPPORTS_ATTRIBUTE_WEAK
-
-/* Not zero if the the IEEE inexact flag is supported in C++. */
-#undef PPL_CXX_SUPPORTS_IEEE_INEXACT_FLAG
-
-/* Not zero if it is possible to limit memory using setrlimit(). */
-#undef PPL_CXX_SUPPORTS_LIMITING_MEMORY
-
-/* Not zero if the C++ compiler supports zero_length arrays. */
-#undef PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
-
-/* Defined if floating point arithmetic may use the 387 unit. */
-#undef PPL_FPMATH_MAY_USE_387
-
-/* Defined if floating point arithmetic may use the SSE instruction set. */
-#undef PPL_FPMATH_MAY_USE_SSE
-
-/* Defined if GLPK provides glp_term_hook(). */
-#undef PPL_GLPK_HAS_GLP_TERM_HOOK
-
-/* Defined if GLPK provides glp_term_out(). */
-#undef PPL_GLPK_HAS_GLP_TERM_OUT
-
-/* Defined if GLPK provides lib_set_print_hook(). */
-#undef PPL_GLPK_HAS_LIB_SET_PRINT_HOOK
-
-/* Defined if GLPK provides _glp_lib_print_hook(). */
-#undef PPL_GLPK_HAS__GLP_LIB_PRINT_HOOK
-
-/* Defined if the integral type to be used for coefficients is GMP's one. */
-#undef PPL_GMP_INTEGERS
-
-/* Not zero if GMP has been compiled with support for exceptions. */
-#undef PPL_GMP_SUPPORTS_EXCEPTIONS
-
-/* Defined if the integral type to be used for coefficients is a native one.
- */
-#undef PPL_NATIVE_INTEGERS
-
-/* Assertions are disabled when this is defined. */
-#undef PPL_NDEBUG
-
-/* Not zero if doubles are supported. */
-#undef PPL_SUPPORTED_DOUBLE
-
-/* Not zero if floats are supported. */
-#undef PPL_SUPPORTED_FLOAT
-
-/* Not zero if long doubles are supported. */
-#undef PPL_SUPPORTED_LONG_DOUBLE
-
-/* The size of `char', as computed by sizeof. */
-#undef PPL_SIZEOF_CHAR
-
-/* The size of `double', as computed by sizeof. */
-#undef PPL_SIZEOF_DOUBLE
-
-/* The size of `float', as computed by sizeof. */
-#undef PPL_SIZEOF_FLOAT
-
-/* The size of `fp', as computed by sizeof. */
-#undef PPL_SIZEOF_FP
-
-/* The size of `int', as computed by sizeof. */
-#undef PPL_SIZEOF_INT
-
-/* The size of `int*', as computed by sizeof. */
-#undef PPL_SIZEOF_INTP
-
-/* The size of `long', as computed by sizeof. */
-#undef PPL_SIZEOF_LONG
-
-/* The size of `long double', as computed by sizeof. */
-#undef PPL_SIZEOF_LONG_DOUBLE
-
-/* The size of `long long', as computed by sizeof. */
-#undef PPL_SIZEOF_LONG_LONG
-
-/* The size of `mp_limb_t', as computed by sizeof. */
-#undef PPL_SIZEOF_MP_LIMB_T
-
-/* The size of `short', as computed by sizeof. */
-#undef PPL_SIZEOF_SHORT
-
-/* The size of `size_t', as computed by sizeof. */
-#undef PPL_SIZEOF_SIZE_T
-
-/* Define to 1 if you have the ANSI C header files. */
-#undef PPL_STDC_HEADERS
-
-/* Define PPL_WORDS_BIGENDIAN to 1 if your processor stores words with the most
- significant byte first (like Motorola and SPARC, unlike Intel). */
-#if defined AC_APPLE_UNIVERSAL_BUILD
-# if defined __BIG_ENDIAN__
-# define PPL_WORDS_BIGENDIAN 1
-# endif
-#else
-# ifndef PPL_WORDS_BIGENDIAN
-# undef PPL_WORDS_BIGENDIAN
-# endif
-#endif
-
-/* When defined and libstdc++ is used, it is used in debug mode. */
-#undef _GLIBCXX_DEBUG
-
-/* When defined and libstdc++ is used, it is used in pedantic debug mode. */
-#undef _GLIBCXX_DEBUG_PEDANTIC
-
-/* Define to empty if `const' does not conform to ANSI C. */
-#undef const
-
-/* Define to `__inline__' or `__inline' if that's what the C compiler
- calls it, or to nothing if 'inline' is not supported under any name. */
-#ifndef __cplusplus
-#undef inline
-#endif
-
-/* Define to __typeof__ if your compiler spells it that way. */
-#undef typeof
-
-/* Define to the type of an unsigned integer type wide enough to hold a
- pointer, if such a type exists, and if the system does not define it. */
-#undef uintptr_t
-
-
-#if defined(PPL_NDEBUG) && !defined(NDEBUG)
-# define NDEBUG PPL_NDEBUG
-#endif
-
-/* In order for the definition of `int64_t' to be seen by Comeau C/C++,
- we must make sure <stdint.h> is included before <sys/types.hh> is
- (even indirectly) included. Moreover we need to define
- __STDC_LIMIT_MACROS before the first inclusion of <stdint.h>
- in order to have the macros defined also in C++. */
-
-#ifdef PPL_HAVE_STDINT_H
-# ifndef __STDC_LIMIT_MACROS
-# define __STDC_LIMIT_MACROS 1
-# endif
-# include <stdint.h>
-#endif
-
-#ifdef PPL_HAVE_INTTYPES_H
-# include <inttypes.h>
-#endif
-
-#define PPL_U(x) x
-
-#endif /* !defined(PPL_ppl_config_h) */
-
-/* END ppl-config.h */
-
diff --git a/src/BDS_Status.idefs.hh b/src/BDS_Status.idefs.hh
deleted file mode 100644
index cfe2580..0000000
--- a/src/BDS_Status.idefs.hh
+++ /dev/null
@@ -1,117 +0,0 @@
-/* BD_Shape<T>::Status class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BDS_Status_idefs_hh
-#define PPL_BDS_Status_idefs_hh 1
-
-#ifndef PPL_IN_BD_Shape_CLASS
-#error "Do not include BDS_Status.idefs.hh directly; use BD_Shape.defs.hh instead"
-#endif
-
-//! A conjunctive assertion about a BD_Shape<T> object.
-/*! \ingroup PPL_CXX_interface
- The assertions supported are:
- - <EM>zero-dim universe</EM>: the BDS is the zero-dimensional
- vector space \f$\Rset^0 = \{\cdot\}\f$;
- - <EM>empty</EM>: the BDS is the empty set;
- - <EM>shortest-path closed</EM>: the BDS is represented by a shortest-path
- closed system of bounded differences, so that all the constraints are
- as tight as possible;
- - <EM>shortest-path reduced</EM>: the BDS is represented by a shortest-path
- closed system of bounded differences and each constraint in such a system
- is marked as being either redundant or non-redundant.
-
- Not all the conjunctions of these elementary assertions constitute
- a legal Status. In fact:
- - <EM>zero-dim universe</EM> excludes any other assertion;
- - <EM>empty</EM>: excludes any other assertion;
- - <EM>shortest-path reduced</EM> implies <EM>shortest-path closed</EM>.
-*/
-class Status {
-public:
- //! By default Status is the <EM>zero-dim universe</EM> assertion.
- Status();
-
- //! \name Test, remove or add an individual assertion from the conjunction.
- //@{
- bool test_zero_dim_univ() const;
- void reset_zero_dim_univ();
- void set_zero_dim_univ();
-
- bool test_empty() const;
- void reset_empty();
- void set_empty();
-
- bool test_shortest_path_closed() const;
- void reset_shortest_path_closed();
- void set_shortest_path_closed();
-
- bool test_shortest_path_reduced() const;
- void reset_shortest_path_reduced();
- void set_shortest_path_reduced();
- //@}
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
-private:
- //! Status is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bit-masks for the individual assertions.
- //@{
- static const flags_t ZERO_DIM_UNIV = 0U;
- static const flags_t EMPTY = 1U << 0;
- static const flags_t SHORTEST_PATH_CLOSED = 1U << 1;
- static const flags_t SHORTEST_PATH_REDUCED = 1U << 2;
- //@}
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! Construct from a bit-mask.
- Status(flags_t mask);
-
- //! Check whether <EM>all</EM> bits in \p mask are set.
- bool test_all(flags_t mask) const;
-
- //! Check whether <EM>at least one</EM> bit in \p mask is set.
- bool test_any(flags_t mask) const;
-
- //! Set the bits in \p mask.
- void set(flags_t mask);
-
- //! Reset the bits in \p mask.
- void reset(flags_t mask);
-};
-
-#endif // !defined(PPL_BDS_Status_idefs_hh)
diff --git a/src/BDS_Status.inlines.hh b/src/BDS_Status.inlines.hh
deleted file mode 100644
index 9ba7aed..0000000
--- a/src/BDS_Status.inlines.hh
+++ /dev/null
@@ -1,268 +0,0 @@
-/* BD_Shape<T>::Status class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BDS_Status_inlines_hh
-#define PPL_BDS_Status_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline
-BD_Shape<T>::Status::Status(flags_t mask)
- : flags(mask) {
-}
-
-template <typename T>
-inline
-BD_Shape<T>::Status::Status()
- : flags(ZERO_DIM_UNIV) {
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::Status::test_all(flags_t mask) const {
- return (flags & mask) == mask;
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::Status::test_any(flags_t mask) const {
- return (flags & mask) != 0;
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::set(flags_t mask) {
- flags |= mask;
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::reset(flags_t mask) {
- flags &= ~mask;
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::Status::test_zero_dim_univ() const {
- return flags == ZERO_DIM_UNIV;
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::reset_zero_dim_univ() {
- // This is a no-op if the current status is not zero-dim.
- if (flags == ZERO_DIM_UNIV)
- // In the zero-dim space, if it is not the universe it is empty.
- flags = EMPTY;
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::set_zero_dim_univ() {
- // Zero-dim universe is incompatible with anything else.
- flags = ZERO_DIM_UNIV;
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::Status::test_empty() const {
- return test_any(EMPTY);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::reset_empty() {
- reset(EMPTY);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::set_empty() {
- flags = EMPTY;
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::Status::test_shortest_path_closed() const {
- return test_any(SHORTEST_PATH_CLOSED);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::reset_shortest_path_closed() {
- // A system is reduced only if it is also closed.
- reset(SHORTEST_PATH_CLOSED | SHORTEST_PATH_REDUCED);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::set_shortest_path_closed() {
- set(SHORTEST_PATH_CLOSED);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::Status::test_shortest_path_reduced() const {
- return test_any(SHORTEST_PATH_REDUCED);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::reset_shortest_path_reduced() {
- reset(SHORTEST_PATH_REDUCED);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::Status::set_shortest_path_reduced() {
- PPL_ASSERT(test_shortest_path_closed());
- set(SHORTEST_PATH_REDUCED);
-}
-
-template <typename T>
-bool
-BD_Shape<T>::Status::OK() const {
- if (test_zero_dim_univ())
- // Zero-dim universe is OK.
- return true;
-
- if (test_empty()) {
- Status copy = *this;
- copy.reset_empty();
- if (copy.test_zero_dim_univ())
- return true;
- else {
-#ifndef NDEBUG
- std::cerr << "The empty flag is incompatible with any other one."
- << std::endl;
-#endif
- return false;
- }
- }
-
- // Shortest-path reduction implies shortest-path closure.
- if (test_shortest_path_reduced()) {
- if (test_shortest_path_closed())
- return true;
- else {
-#ifndef NDEBUG
- std::cerr << "The shortest-path reduction flag should also imply "
- << "the closure flag."
- << std::endl;
-#endif
- return false;
- }
- }
-
- // Any other case is OK.
- return true;
-}
-
-
-namespace Implementation {
-
-namespace BD_Shapes {
-
-// These are the keywords that indicate the individual assertions.
-const std::string zero_dim_univ = "ZE";
-const std::string empty = "EM";
-const std::string sp_closed = "SPC";
-const std::string sp_reduced = "SPR";
-const char yes = '+';
-const char no = '-';
-const char separator = ' ';
-
-/*! \relates Parma_Polyhedra_Library::BD_Shape::Status
- Reads a keyword and its associated on/off flag from \p s.
- Returns <CODE>true</CODE> if the operation is successful,
- returns <CODE>false</CODE> otherwise.
- When successful, \p positive is set to <CODE>true</CODE> if the flag
- is on; it is set to <CODE>false</CODE> otherwise.
-*/
-inline bool
-get_field(std::istream& s, const std::string& keyword, bool& positive) {
- std::string str;
- if (!(s >> str)
- || (str[0] != yes && str[0] != no)
- || str.substr(1) != keyword)
- return false;
- positive = (str[0] == yes);
- return true;
-}
-
-} // namespace BD_Shapes
-
-} // namespace Implementation
-
-template <typename T>
-void
-BD_Shape<T>::Status::ascii_dump(std::ostream& s) const {
- using namespace Implementation::BD_Shapes;
- s << (test_zero_dim_univ() ? yes : no) << zero_dim_univ << separator
- << (test_empty() ? yes : no) << empty << separator
- << separator
- << (test_shortest_path_closed() ? yes : no) << sp_closed << separator
- << (test_shortest_path_reduced() ? yes : no) << sp_reduced << separator;
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(T, BD_Shape<T>::Status)
-
-template <typename T>
-bool
-BD_Shape<T>::Status::ascii_load(std::istream& s) {
- using namespace Implementation::BD_Shapes;
- PPL_UNINITIALIZED(bool, positive);
-
- if (!get_field(s, zero_dim_univ, positive))
- return false;
- if (positive)
- set_zero_dim_univ();
-
- if (!get_field(s, empty, positive))
- return false;
- if (positive)
- set_empty();
-
- if (!get_field(s, sp_closed, positive))
- return false;
- if (positive)
- set_shortest_path_closed();
- else
- reset_shortest_path_closed();
-
- if (!get_field(s, sp_reduced, positive))
- return false;
- if (positive)
- set_shortest_path_reduced();
- else
- reset_shortest_path_reduced();
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_BDS_Status_inlines_hh)
diff --git a/src/BDS_Status_idefs.hh b/src/BDS_Status_idefs.hh
new file mode 100644
index 0000000..c2a609e
--- /dev/null
+++ b/src/BDS_Status_idefs.hh
@@ -0,0 +1,117 @@
+/* BD_Shape<T>::Status class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BDS_Status_idefs_hh
+#define PPL_BDS_Status_idefs_hh 1
+
+#ifndef PPL_IN_BD_Shape_CLASS
+#error "Do not include BDS_Status_idefs.hh directly; use BD_Shape_defs.hh instead"
+#endif
+
+//! A conjunctive assertion about a BD_Shape<T> object.
+/*! \ingroup PPL_CXX_interface
+ The assertions supported are:
+ - <EM>zero-dim universe</EM>: the BDS is the zero-dimensional
+ vector space \f$\Rset^0 = \{\cdot\}\f$;
+ - <EM>empty</EM>: the BDS is the empty set;
+ - <EM>shortest-path closed</EM>: the BDS is represented by a shortest-path
+ closed system of bounded differences, so that all the constraints are
+ as tight as possible;
+ - <EM>shortest-path reduced</EM>: the BDS is represented by a shortest-path
+ closed system of bounded differences and each constraint in such a system
+ is marked as being either redundant or non-redundant.
+
+ Not all the conjunctions of these elementary assertions constitute
+ a legal Status. In fact:
+ - <EM>zero-dim universe</EM> excludes any other assertion;
+ - <EM>empty</EM>: excludes any other assertion;
+ - <EM>shortest-path reduced</EM> implies <EM>shortest-path closed</EM>.
+*/
+class Status {
+public:
+ //! By default Status is the <EM>zero-dim universe</EM> assertion.
+ Status();
+
+ //! \name Test, remove or add an individual assertion from the conjunction.
+ //@{
+ bool test_zero_dim_univ() const;
+ void reset_zero_dim_univ();
+ void set_zero_dim_univ();
+
+ bool test_empty() const;
+ void reset_empty();
+ void set_empty();
+
+ bool test_shortest_path_closed() const;
+ void reset_shortest_path_closed();
+ void set_shortest_path_closed();
+
+ bool test_shortest_path_reduced() const;
+ void reset_shortest_path_reduced();
+ void set_shortest_path_reduced();
+ //@}
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+private:
+ //! Status is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bit-masks for the individual assertions.
+ //@{
+ static const flags_t ZERO_DIM_UNIV = 0U;
+ static const flags_t EMPTY = 1U << 0;
+ static const flags_t SHORTEST_PATH_CLOSED = 1U << 1;
+ static const flags_t SHORTEST_PATH_REDUCED = 1U << 2;
+ //@}
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! Construct from a bit-mask.
+ Status(flags_t mask);
+
+ //! Check whether <EM>all</EM> bits in \p mask are set.
+ bool test_all(flags_t mask) const;
+
+ //! Check whether <EM>at least one</EM> bit in \p mask is set.
+ bool test_any(flags_t mask) const;
+
+ //! Set the bits in \p mask.
+ void set(flags_t mask);
+
+ //! Reset the bits in \p mask.
+ void reset(flags_t mask);
+};
+
+#endif // !defined(PPL_BDS_Status_idefs_hh)
diff --git a/src/BDS_Status_inlines.hh b/src/BDS_Status_inlines.hh
new file mode 100644
index 0000000..8cf9130
--- /dev/null
+++ b/src/BDS_Status_inlines.hh
@@ -0,0 +1,268 @@
+/* BD_Shape<T>::Status class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BDS_Status_inlines_hh
+#define PPL_BDS_Status_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+BD_Shape<T>::Status::Status(flags_t mask)
+ : flags(mask) {
+}
+
+template <typename T>
+inline
+BD_Shape<T>::Status::Status()
+ : flags(ZERO_DIM_UNIV) {
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::Status::test_all(flags_t mask) const {
+ return (flags & mask) == mask;
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::Status::test_any(flags_t mask) const {
+ return (flags & mask) != 0;
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::set(flags_t mask) {
+ flags |= mask;
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::reset(flags_t mask) {
+ flags &= ~mask;
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::Status::test_zero_dim_univ() const {
+ return flags == ZERO_DIM_UNIV;
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::reset_zero_dim_univ() {
+ // This is a no-op if the current status is not zero-dim.
+ if (flags == ZERO_DIM_UNIV)
+ // In the zero-dim space, if it is not the universe it is empty.
+ flags = EMPTY;
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::set_zero_dim_univ() {
+ // Zero-dim universe is incompatible with anything else.
+ flags = ZERO_DIM_UNIV;
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::Status::test_empty() const {
+ return test_any(EMPTY);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::reset_empty() {
+ reset(EMPTY);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::set_empty() {
+ flags = EMPTY;
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::Status::test_shortest_path_closed() const {
+ return test_any(SHORTEST_PATH_CLOSED);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::reset_shortest_path_closed() {
+ // A system is reduced only if it is also closed.
+ reset(SHORTEST_PATH_CLOSED | SHORTEST_PATH_REDUCED);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::set_shortest_path_closed() {
+ set(SHORTEST_PATH_CLOSED);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::Status::test_shortest_path_reduced() const {
+ return test_any(SHORTEST_PATH_REDUCED);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::reset_shortest_path_reduced() {
+ reset(SHORTEST_PATH_REDUCED);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::Status::set_shortest_path_reduced() {
+ PPL_ASSERT(test_shortest_path_closed());
+ set(SHORTEST_PATH_REDUCED);
+}
+
+template <typename T>
+bool
+BD_Shape<T>::Status::OK() const {
+ if (test_zero_dim_univ())
+ // Zero-dim universe is OK.
+ return true;
+
+ if (test_empty()) {
+ Status copy = *this;
+ copy.reset_empty();
+ if (copy.test_zero_dim_univ())
+ return true;
+ else {
+#ifndef NDEBUG
+ std::cerr << "The empty flag is incompatible with any other one."
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+
+ // Shortest-path reduction implies shortest-path closure.
+ if (test_shortest_path_reduced()) {
+ if (test_shortest_path_closed())
+ return true;
+ else {
+#ifndef NDEBUG
+ std::cerr << "The shortest-path reduction flag should also imply "
+ << "the closure flag."
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+
+ // Any other case is OK.
+ return true;
+}
+
+
+namespace Implementation {
+
+namespace BD_Shapes {
+
+// These are the keywords that indicate the individual assertions.
+const std::string zero_dim_univ = "ZE";
+const std::string empty = "EM";
+const std::string sp_closed = "SPC";
+const std::string sp_reduced = "SPR";
+const char yes = '+';
+const char no = '-';
+const char separator = ' ';
+
+/*! \relates Parma_Polyhedra_Library::BD_Shape::Status
+ Reads a keyword and its associated on/off flag from \p s.
+ Returns <CODE>true</CODE> if the operation is successful,
+ returns <CODE>false</CODE> otherwise.
+ When successful, \p positive is set to <CODE>true</CODE> if the flag
+ is on; it is set to <CODE>false</CODE> otherwise.
+*/
+inline bool
+get_field(std::istream& s, const std::string& keyword, bool& positive) {
+ std::string str;
+ if (!(s >> str)
+ || (str[0] != yes && str[0] != no)
+ || str.substr(1) != keyword)
+ return false;
+ positive = (str[0] == yes);
+ return true;
+}
+
+} // namespace BD_Shapes
+
+} // namespace Implementation
+
+template <typename T>
+void
+BD_Shape<T>::Status::ascii_dump(std::ostream& s) const {
+ using namespace Implementation::BD_Shapes;
+ s << (test_zero_dim_univ() ? yes : no) << zero_dim_univ << separator
+ << (test_empty() ? yes : no) << empty << separator
+ << separator
+ << (test_shortest_path_closed() ? yes : no) << sp_closed << separator
+ << (test_shortest_path_reduced() ? yes : no) << sp_reduced << separator;
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(T, BD_Shape<T>::Status)
+
+template <typename T>
+bool
+BD_Shape<T>::Status::ascii_load(std::istream& s) {
+ using namespace Implementation::BD_Shapes;
+ PPL_UNINITIALIZED(bool, positive);
+
+ if (!get_field(s, zero_dim_univ, positive))
+ return false;
+ if (positive)
+ set_zero_dim_univ();
+
+ if (!get_field(s, empty, positive))
+ return false;
+ if (positive)
+ set_empty();
+
+ if (!get_field(s, sp_closed, positive))
+ return false;
+ if (positive)
+ set_shortest_path_closed();
+ else
+ reset_shortest_path_closed();
+
+ if (!get_field(s, sp_reduced, positive))
+ return false;
+ if (positive)
+ set_shortest_path_reduced();
+ else
+ reset_shortest_path_reduced();
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_BDS_Status_inlines_hh)
diff --git a/src/BD_Shape.cc b/src/BD_Shape.cc
index ab9932e..f772fcd 100644
--- a/src/BD_Shape.cc
+++ b/src/BD_Shape.cc
@@ -1,6 +1,6 @@
/* BD_Shape class implementation: non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "BD_Shape.defs.hh"
+#include "BD_Shape_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -80,7 +80,7 @@ PPL::BD_Shape_Helpers::extract_bounded_difference(const Constraint& c,
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
void
PPL::compute_leader_indices(const std::vector<dimension_type>& predecessor,
- std::vector<dimension_type>& indices) {
+ std::vector<dimension_type>& indices) {
// The vector `indices' contains one entry for each equivalence
// class, storing the index of the corresponding leader in
// increasing order: it is used to avoid repeated tests for leadership.
diff --git a/src/BD_Shape.defs.hh b/src/BD_Shape.defs.hh
deleted file mode 100644
index 64b882e..0000000
--- a/src/BD_Shape.defs.hh
+++ /dev/null
@@ -1,2367 +0,0 @@
-/* BD_Shape class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BD_Shape_defs_hh
-#define PPL_BD_Shape_defs_hh 1
-
-#include "BD_Shape.types.hh"
-#include "globals.defs.hh"
-#include "Constraint.types.hh"
-#include "Generator.types.hh"
-#include "Congruence.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint_System.types.hh"
-#include "Generator_System.types.hh"
-#include "Congruence_System.types.hh"
-#include "Poly_Con_Relation.types.hh"
-#include "Poly_Gen_Relation.types.hh"
-#include "Polyhedron.types.hh"
-#include "Box.types.hh"
-#include "Grid.types.hh"
-#include "Octagonal_Shape.types.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.types.hh"
-#include "DB_Matrix.defs.hh"
-#include "DB_Row.defs.hh"
-#include "Checked_Number.defs.hh"
-#include "WRD_coefficient_types.defs.hh"
-#include "Bit_Matrix.defs.hh"
-#include "Coefficient.defs.hh"
-#include "Interval.types.hh"
-#include "Linear_Form.types.hh"
-#include <cstddef>
-#include <iosfwd>
-#include <vector>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::BD_Shape
- Writes a textual representation of \p bds on \p s:
- <CODE>false</CODE> is written if \p bds is an empty polyhedron;
- <CODE>true</CODE> is written if \p bds is the universe polyhedron;
- a system of constraints defining \p bds is written otherwise,
- all constraints separated by ", ".
-*/
-template <typename T>
-std::ostream&
-operator<<(std::ostream& s, const BD_Shape<T>& bds);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates BD_Shape */
-template <typename T>
-void swap(BD_Shape<T>& x, BD_Shape<T>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are the same BDS.
-/*! \relates BD_Shape
- Note that \p x and \p y may be dimension-incompatible shapes:
- in this case, the value <CODE>false</CODE> is returned.
-*/
-template <typename T>
-bool operator==(const BD_Shape<T>& x, const BD_Shape<T>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are not the same BDS.
-/*! \relates BD_Shape
- Note that \p x and \p y may be dimension-incompatible shapes:
- in this case, the value <CODE>true</CODE> is returned.
-*/
-template <typename T>
-bool operator!=(const BD_Shape<T>& x, const BD_Shape<T>& y);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates BD_Shape
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates BD_Shape
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates BD_Shape
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates BD_Shape
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates BD_Shape
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates BD_Shape
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates BD_Shape
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates BD_Shape
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates BD_Shape
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-// This class contains some helper functions that need to be friends of
-// Linear_Expression.
-class BD_Shape_Helpers {
-public:
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Decodes the constraint \p c as a bounded difference.
- /*! \relates BD_Shape
- \return
- <CODE>true</CODE> if the constraint \p c is a
- \ref Bounded_Difference_Shapes "bounded difference";
- <CODE>false</CODE> otherwise.
-
- \param c
- The constraint to be decoded.
-
- \param c_num_vars
- If <CODE>true</CODE> is returned, then it will be set to the number
- of variables having a non-zero coefficient. The only legal values
- will therefore be 0, 1 and 2.
-
- \param c_first_var
- If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
- then it will be set to the index of the first variable having
- a non-zero coefficient in \p c.
-
- \param c_second_var
- If <CODE>true</CODE> is returned and if \p c_num_vars is set to 2,
- then it will be set to the index of the second variable having
- a non-zero coefficient in \p c. If \p c_num_vars is set to 1, this must be
- 0.
-
- \param c_coeff
- If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
- then it will be set to the value of the first non-zero coefficient
- in \p c.
- */
- #endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- static bool extract_bounded_difference(const Constraint& c,
- dimension_type& c_num_vars,
- dimension_type& c_first_var,
- dimension_type& c_second_var,
- Coefficient& c_coeff);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Extracts leader indices from the predecessor relation.
-/*! \relates BD_Shape */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void compute_leader_indices(const std::vector<dimension_type>& predecessor,
- std::vector<dimension_type>& indices);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A bounded difference shape.
-/*! \ingroup PPL_CXX_interface
- The class template BD_Shape<T> allows for the efficient representation
- of a restricted kind of <EM>topologically closed</EM> convex polyhedra
- called <EM>bounded difference shapes</EM> (BDSs, for short).
- The name comes from the fact that the closed affine half-spaces that
- characterize the polyhedron can be expressed by constraints of the form
- \f$\pm x_i \leq k\f$ or \f$x_i - x_j \leq k\f$, where the inhomogeneous
- term \f$k\f$ is a rational number.
-
- Based on the class template type parameter \p T, a family of extended
- numbers is built and used to approximate the inhomogeneous term of
- bounded differences. These extended numbers provide a representation
- for the value \f$+\infty\f$, as well as <EM>rounding-aware</EM>
- implementations for several arithmetic functions.
- The value of the type parameter \p T may be one of the following:
- - a bounded precision integer type (e.g., \c int32_t or \c int64_t);
- - a bounded precision floating point type (e.g., \c float or \c double);
- - an unbounded integer or rational type, as provided by GMP
- (i.e., \c mpz_class or \c mpq_class).
-
- The user interface for BDSs is meant to be as similar as possible to
- the one developed for the polyhedron class C_Polyhedron.
-
- The domain of BD shapes <EM>optimally supports</EM>:
- - tautological and inconsistent constraints and congruences;
- - bounded difference constraints;
- - non-proper congruences (i.e., equalities) that are expressible
- as bounded-difference constraints.
-
- Depending on the method, using a constraint or congruence that is not
- optimally supported by the domain will either raise an exception or
- result in a (possibly non-optimal) upward approximation.
-
- A constraint is a bounded difference if it has the form
- \f[
- a_i x_i - a_j x_j \relsym b
- \f]
- where \f$\mathord{\relsym} \in \{ \leq, =, \geq \}\f$ and
- \f$a_i\f$, \f$a_j\f$, \f$b\f$ are integer coefficients such that
- \f$a_i = 0\f$, or \f$a_j = 0\f$, or \f$a_i = a_j\f$.
- The user is warned that the above bounded difference Constraint object
- will be mapped into a \e correct and \e optimal approximation that,
- depending on the expressive power of the chosen template argument \p T,
- may loose some precision. Also note that strict constraints are not
- bounded differences.
-
- For instance, a Constraint object encoding \f$3x - 3y \leq 1\f$ will be
- approximated by:
- - \f$x - y \leq 1\f$,
- if \p T is a (bounded or unbounded) integer type;
- - \f$x - y \leq \frac{1}{3}\f$,
- if \p T is the unbounded rational type \c mpq_class;
- - \f$x - y \leq k\f$, where \f$k > \frac{1}{3}\f$,
- if \p T is a floating point type (having no exact representation
- for \f$\frac{1}{3}\f$).
-
- On the other hand, depending from the context, a Constraint object
- encoding \f$3x - y \leq 1\f$ will be either upward approximated
- (e.g., by safely ignoring it) or it will cause an exception.
-
- In the following examples it is assumed that the type argument \p T
- is one of the possible instances listed above and that variables
- <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE> are defined
- (where they are used) as follows:
- \code
- Variable x(0);
- Variable y(1);
- Variable z(2);
- \endcode
-
- \par Example 1
- The following code builds a BDS corresponding to a cube in \f$\Rset^3\f$,
- given as a system of constraints:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x <= 1);
- cs.insert(y >= 0);
- cs.insert(y <= 1);
- cs.insert(z >= 0);
- cs.insert(z <= 1);
- BD_Shape<T> bd(cs);
- \endcode
- Since only those constraints having the syntactic form of a
- <EM>bounded difference</EM> are optimally supported, the following code
- will throw an exception (caused by constraints 7, 8 and 9):
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x <= 1);
- cs.insert(y >= 0);
- cs.insert(y <= 1);
- cs.insert(z >= 0);
- cs.insert(z <= 1);
- cs.insert(x + y <= 0); // 7
- cs.insert(x - z + x >= 0); // 8
- cs.insert(3*z - y <= 1); // 9
- BD_Shape<T> bd(cs);
- \endcode
-*/
-template <typename T>
-class Parma_Polyhedra_Library::BD_Shape {
-private:
- /*! \brief
- The (extended) numeric type of the inhomogeneous term of
- the inequalities defining a BDS.
- */
-#ifndef NDEBUG
- typedef Checked_Number<T, Debug_WRD_Extended_Number_Policy> N;
-#else
- typedef Checked_Number<T, WRD_Extended_Number_Policy> N;
-#endif
-
-public:
- //! The numeric base type upon which bounded differences are built.
- typedef T coefficient_type_base;
-
- /*! \brief
- The (extended) numeric type of the inhomogeneous term of the
- inequalities defining a BDS.
- */
- typedef N coefficient_type;
-
- //! Returns the maximum space dimension that a BDS can handle.
- static dimension_type max_space_dimension();
-
- /*! \brief
- Returns \c false indicating that this domain cannot recycle constraints.
- */
- static bool can_recycle_constraint_systems();
-
- /*! \brief
- Returns \c false indicating that this domain cannot recycle congruences.
- */
- static bool can_recycle_congruence_systems();
-
- //! \name Constructors, Assignment, Swap and Destructor
- //@{
-
- //! Builds a universe or empty BDS of the specified space dimension.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the BDS;
-
- \param kind
- Specifies whether the universe or the empty BDS has to be built.
- */
- explicit BD_Shape(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- BD_Shape(const BD_Shape& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a conservative, upward approximation of \p y.
- /*!
- The complexity argument is ignored.
- */
- template <typename U>
- explicit BD_Shape(const BD_Shape<U>& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a BDS from the system of constraints \p cs.
- /*!
- The BDS inherits the space dimension of \p cs.
-
- \param cs
- A system of BD constraints.
-
- \exception std::invalid_argument
- Thrown if \p cs contains a constraint which is not optimally supported
- by the BD shape domain.
- */
- explicit BD_Shape(const Constraint_System& cs);
-
- //! Builds a BDS from a system of congruences.
- /*!
- The BDS inherits the space dimension of \p cgs
-
- \param cgs
- A system of congruences.
-
- \exception std::invalid_argument
- Thrown if \p cgs contains congruences which are not optimally
- supported by the BD shape domain.
- */
- explicit BD_Shape(const Congruence_System& cgs);
-
- //! Builds a BDS from the system of generators \p gs.
- /*!
- Builds the smallest BDS containing the polyhedron defined by \p gs.
- The BDS inherits the space dimension of \p gs.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
- */
- explicit BD_Shape(const Generator_System& gs);
-
- //! Builds a BDS from the polyhedron \p ph.
- /*!
- Builds a BDS containing \p ph using algorithms whose complexity
- does not exceed the one specified by \p complexity. If
- \p complexity is \p ANY_COMPLEXITY, then the BDS built is the
- smallest one containing \p ph.
- */
- explicit BD_Shape(const Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a BDS out of a box.
- /*!
- The BDS inherits the space dimension of the box.
- The built BDS is the most precise BDS that includes the box.
-
- \param box
- The box representing the BDS to be built.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum
- allowed space dimension.
- */
- template <typename Interval>
- explicit BD_Shape(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a BDS out of a grid.
- /*!
- The BDS inherits the space dimension of the grid.
- The built BDS is the most precise BDS that includes the grid.
-
- \param grid
- The grid used to build the BDS.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p grid exceeds the maximum
- allowed space dimension.
- */
- explicit BD_Shape(const Grid& grid,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a BDS from an octagonal shape.
- /*!
- The BDS inherits the space dimension of the octagonal shape.
- The built BDS is the most precise BDS that includes the octagonal shape.
-
- \param os
- The octagonal shape used to build the BDS.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p os exceeds the maximum
- allowed space dimension.
- */
- template <typename U>
- explicit BD_Shape(const Octagonal_Shape<U>& os,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator
- (\p *this and \p y can be dimension-incompatible).
- */
- BD_Shape& operator=(const BD_Shape& y);
-
- /*! \brief
- Swaps \p *this with \p y
- (\p *this and \p y can be dimension-incompatible).
- */
- void m_swap(BD_Shape& y);
-
- //! Destructor.
- ~BD_Shape();
-
- //@} Constructors, Assignment, Swap and Destructor
-
- //! \name Member Functions that Do Not Modify the BD_Shape
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns \f$0\f$, if \p *this is empty; otherwise, returns the
- \ref Affine_Independence_and_Affine_Dimension "affine dimension"
- of \p *this.
- */
- dimension_type affine_dimension() const;
-
- //! Returns a system of constraints defining \p *this.
- Constraint_System constraints() const;
-
- //! Returns a minimized system of constraints defining \p *this.
- Constraint_System minimized_constraints() const;
-
- //! Returns a system of (equality) congruences satisfied by \p *this.
- Congruence_System congruences() const;
-
- /*! \brief
- Returns a minimal system of (equality) congruences
- satisfied by \p *this with the same affine dimension as \p *this.
- */
- Congruence_System minimized_congruences() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from above in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from below in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d
- and \p maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value;
-
- \param g
- When maximization succeeds, will be assigned the point or
- closure point where \p expr reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p g are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value;
-
- \param g
- When minimization succeeds, will be assigned a point or
- closure point where \p expr reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p g are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if there exist a
- unique value \p val such that \p *this
- saturates the equality <CODE>expr = val</CODE>.
-
- \param expr
- The linear expression for which the frequency is needed;
-
- \param freq_n
- If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
- Present for interface compatibility with class Grid, where
- the \ref Grid_Frequency "frequency" can have a non-zero value;
-
- \param freq_d
- If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
-
- \param val_n
- The numerator of \p val;
-
- \param val_d
- The denominator of \p val;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
- \p val_n and \p val_d are left untouched.
- */
- bool frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool contains(const BD_Shape& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool strictly_contains(const BD_Shape& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
- /*!
- \exception std::invalid_argument
- Thrown if \p x and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool is_disjoint_from(const BD_Shape& y) const;
-
- //! Returns the relations holding between \p *this and the constraint \p c.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- //! Returns the relations holding between \p *this and the congruence \p cg.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- //! Returns the relations holding between \p *this and the generator \p g.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- Poly_Gen_Relation relation_with(const Generator& g) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is an empty BDS.
- bool is_empty() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a universe BDS.
- bool is_universe() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
- bool is_discrete() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a topologically closed subset of the vector space.
- */
- bool is_topologically_closed() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a bounded BDS.
- bool is_bounded() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains at least one integer point.
- */
- bool contains_integer_point() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- bool constrains(Variable var) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this satisfies
- all its invariants.
- */
- bool OK() const;
-
- //@} Member Functions that Do Not Modify the BD_Shape
-
- //! \name Space-Dimension Preserving Member Functions that May Modify the BD_Shape
- //@{
-
- /*! \brief
- Adds a copy of constraint \p c to the system of bounded differences
- defining \p *this.
-
- \param c
- The constraint to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible,
- or \p c is not optimally supported by the BD shape domain.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds a copy of congruence \p cg to the system of congruences of \p *this.
-
- \param cg
- The congruence to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible,
- or \p cg is not optimally supported by the BD shape domain.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Adds the constraints in \p cs to the system of bounded differences
- defining \p *this.
-
- \param cs
- The constraints that will be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible,
- or \p cs contains a constraint which is not optimally supported
- by the BD shape domain.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Adds the constraints in \p cs to the system of constraints
- of \p *this.
-
- \param cs
- The constraint system to be added to \p *this. The constraints in
- \p cs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible,
- or \p cs contains a constraint which is not optimally supported
- by the BD shape domain.
-
- \warning
- The only assumption that can be made on \p cs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_constraints(Constraint_System& cs);
-
- /*! \brief
- Adds to \p *this constraints equivalent to the congruences in \p cgs.
-
- \param cgs
- Contains the congruences that will be added to the system of
- constraints of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- or \p cgs contains a congruence which is not optimally supported
- by the BD shape domain.
- */
- void add_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Adds to \p *this constraints equivalent to the congruences in \p cgs.
-
- \param cgs
- Contains the congruences that will be added to the system of
- constraints of \p *this. Its elements may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- or \p cgs contains a congruence which is not optimally supported
- by the BD shape domain.
-
- \warning
- The only assumption that can be made on \p cgs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_congruences(Congruence_System& cgs);
-
- /*! \brief
- Uses a copy of constraint \p c to refine the system of bounded differences
- defining \p *this.
-
- \param c
- The constraint. If it is not a bounded difference, it will be ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- /*! \brief
- Uses a copy of congruence \p cg to refine the system of
- bounded differences of \p *this.
-
- \param cg
- The congruence. If it is not a bounded difference equality, it
- will be ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- /*! \brief
- Uses a copy of the constraints in \p cs to refine the system of
- bounded differences defining \p *this.
-
- \param cs
- The constraint system to be used. Constraints that are not bounded
- differences are ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- /*! \brief
- Uses a copy of the congruences in \p cgs to refine the system of
- bounded differences defining \p *this.
-
- \param cgs
- The congruence system to be used. Congruences that are not bounded
- difference equalities are ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Refines the system of BD_Shape constraints defining \p *this using
- the constraint expressed by \p left \f$\leq\f$ \p right.
-
- \param left
- The linear form on intervals with floating point boundaries that
- is at the left of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param right
- The linear form on intervals with floating point boundaries that
- is at the right of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \exception std::invalid_argument
- Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
-
- This function is used in abstract interpretation to model a filter
- that is generated by a comparison of two expressions that are correctly
- approximated by \p left and \p right respectively.
- */
- template <typename Interval_Info>
- void refine_with_linear_form_inequality(
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
-
- /*! \brief
- Refines the system of BD_Shape constraints defining \p *this using
- the constraint expressed by \p left \f$\relsym\f$ \p right, where
- \f$\relsym\f$ is the relation symbol specified by \p relsym.
-
- \param left
- The linear form on intervals with floating point boundaries that
- is at the left of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param right
- The linear form on intervals with floating point boundaries that
- is at the right of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param relsym
- The relation symbol.
-
- \exception std::invalid_argument
- Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
-
- \exception std::runtime_error
- Thrown if \p relsym is not a valid relation symbol.
-
- This function is used in abstract interpretation to model a filter
- that is generated by a comparison of two expressions that are correctly
- approximated by \p left and \p right respectively.
- */
- template <typename Interval_Info>
- void generalized_refine_with_linear_form_inequality(
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right,
- Relation_Symbol relsym);
-
- //! Applies to \p dest the interval constraints embedded in \p *this.
- /*!
- \param dest
- The object to which the constraints will be added.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest.
-
- The template type parameter U must provide the following methods.
- \code
- dimension_type space_dimension() const
- \endcode
- returns the space dimension of the object.
- \code
- void set_empty()
- \endcode
- sets the object to an empty object.
- \code
- bool restrict_lower(dimension_type dim, const T& lb)
- \endcode
- restricts the object by applying the lower bound \p lb to the space
- dimension \p dim and returns <CODE>false</CODE> if and only if the
- object becomes empty.
- \code
- bool restrict_upper(dimension_type dim, const T& ub)
- \endcode
- restricts the object by applying the upper bound \p ub to the space
- dimension \p dim and returns <CODE>false</CODE> if and only if the
- object becomes empty.
- */
- template <typename U>
- void export_interval_constraints(U& dest) const;
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- //! Assigns to \p *this the intersection of \p *this and \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void intersection_assign(const BD_Shape& y);
-
- /*! \brief
- Assigns to \p *this the smallest BDS containing the union
- of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void upper_bound_assign(const BD_Shape& y);
-
- /*! \brief
- If the upper bound of \p *this and \p y is exact, it is assigned
- to \p *this and <CODE>true</CODE> is returned,
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool upper_bound_assign_if_exact(const BD_Shape& y);
-
- /*! \brief
- If the \e integer upper bound of \p *this and \p y is exact,
- it is assigned to \p *this and <CODE>true</CODE> is returned;
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \note
- The integer upper bound of two rational BDS is the smallest rational
- BDS containing all the integral points of the two arguments.
- This method requires that the coefficient type parameter \c T is
- an integral type.
- */
- bool integer_upper_bound_assign_if_exact(const BD_Shape& y);
-
- /*! \brief
- Assigns to \p *this the smallest BD shape containing
- the set difference of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void difference_assign(const BD_Shape& y);
-
- /*! \brief
- Assigns to \p *this a \ref Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
- If \c false is returned, then the intersection is empty.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool simplify_using_context_assign(const BD_Shape& y);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine image"
- of \p *this under the function mapping variable \p var into the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned.
-
- \param expr
- The numerator of the affine expression.
-
- \param denominator
- The denominator of the affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension of \p *this.
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- // FIXME: To be completed.
- /*! \brief
- Assigns to \p *this the \ref affine_form_relation "affine form image"
- of \p *this under the function mapping variable \p var into the
- affine expression(s) specified by \p lf.
-
- \param var
- The variable to which the affine expression is assigned.
-
- \param lf
- The linear form on intervals with floating point coefficients that
- defines the affine expression. ALL of its coefficients MUST be bounded.
-
- \exception std::invalid_argument
- Thrown if \p lf and \p *this are dimension-incompatible or if \p var
- is not a dimension of \p *this.
- */
- template <typename Interval_Info>
- void affine_form_image(Variable var,
- const Linear_Form<Interval<T, Interval_Info> >& lf);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine preimage"
- of \p *this under the function mapping variable \p var into the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is substituted.
-
- \param expr
- The numerator of the affine expression.
-
- \param denominator
- The denominator of the affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension of \p *this.
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine transfer function.
-
- \param relsym
- The relation symbol.
-
- \param expr
- The numerator of the right hand side affine expression.
-
- \param denominator
- The denominator of the right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension
- of \p *this or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression.
-
- \param relsym
- The relation symbol.
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine transfer function.
-
- \param relsym
- The relation symbol.
-
- \param expr
- The numerator of the right hand side affine expression.
-
- \param denominator
- The denominator of the right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension
- of \p *this or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression.
-
- \param relsym
- The relation symbol.
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*!
- \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*!
- \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void time_elapse_assign(const BD_Shape& y);
-
- /*! \brief
- \ref Wrapping_Operator "Wraps" the specified dimensions of the
- vector space.
-
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be wrapped.
-
- \param w
- The width of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param r
- The representation of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param o
- The overflow behavior of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param cs_p
- Possibly null pointer to a constraint system whose variables
- are contained in \p vars. If <CODE>*cs_p</CODE> depends on
- variables not in \p vars, the behavior is undefined.
- When non-null, the pointed-to constraint system is assumed to
- represent the conditional or looping construct guard with respect
- to which wrapping is performed. Since wrapping requires the
- computation of upper bounds and due to non-distributivity of
- constraint refinement over upper bounds, passing a constraint
- system in this way can be more precise than refining the result of
- the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
-
- \param complexity_threshold
- A precision parameter of the \ref Wrapping_Operator "wrapping operator":
- higher values result in possibly improved precision.
-
- \param wrap_individually
- <CODE>true</CODE> if the dimensions should be wrapped individually
- (something that results in much greater efficiency to the detriment of
- precision).
-
- \exception std::invalid_argument
- Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
- \p vars, or if \p *this is dimension-incompatible \p vars or with
- <CODE>*cs_p</CODE>.
- */
- void wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p = 0,
- unsigned complexity_threshold = 16,
- bool wrap_individually = true);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void CC76_extrapolation_assign(const BD_Shape& y, unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param first
- An iterator referencing the first stop-point.
-
- \param last
- An iterator referencing one past the last stop-point.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- template <typename Iterator>
- void CC76_extrapolation_assign(const BD_Shape& y,
- Iterator first, Iterator last,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref BHMZ05_widening "BHMZ05-widening" of \p *this and \p y.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void BHMZ05_widening_assign(const BD_Shape& y, unsigned* tp = 0);
-
- /*! \brief
- Improves the result of the \ref BHMZ05_widening "BHMZ05-widening"
- computation by also enforcing those constraints in \p cs that are
- satisfied by all the points of \p *this.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param cs
- The system of constraints used to improve the widened BDS.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are dimension-incompatible or
- if \p cs contains a strict inequality.
- */
- void limited_BHMZ05_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of restoring in \p y the constraints
- of \p *this that were lost by
- \ref CC76_extrapolation "CC76-extrapolation" applications.
-
- \param y
- A BDS that <EM>must</EM> contain \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \note
- As was the case for widening operators, the argument \p y is meant to
- denote the value computed in the previous iteration step, whereas
- \p *this denotes the value computed in the current iteration step
- (in the <EM>decreasing</EM> iteration sequence). Hence, the call
- <CODE>x.CC76_narrowing_assign(y)</CODE> will assign to \p x
- the result of the computation \f$\mathtt{y} \Delta \mathtt{x}\f$.
- */
- void CC76_narrowing_assign(const BD_Shape& y);
-
- /*! \brief
- Improves the result of the \ref CC76_extrapolation "CC76-extrapolation"
- computation by also enforcing those constraints in \p cs that are
- satisfied by all the points of \p *this.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param cs
- The system of constraints used to improve the widened BDS.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are dimension-incompatible or
- if \p cs contains a strict inequality.
- */
- void limited_CC76_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref H79_widening "H79-widening" between \p *this and \p y.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void H79_widening_assign(const BD_Shape& y, unsigned* tp = 0);
-
- //! Same as H79_widening_assign(y, tp).
- void widening_assign(const BD_Shape& y, unsigned* tp = 0);
-
- /*! \brief
- Improves the result of the \ref H79_widening "H79-widening"
- computation by also enforcing those constraints in \p cs that are
- satisfied by all the points of \p *this.
-
- \param y
- A BDS that <EM>must</EM> be contained in \p *this.
-
- \param cs
- The system of constraints used to improve the widened BDS.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are dimension-incompatible.
- */
- void limited_H79_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- //@} Space-Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- //! Adds \p m new dimensions and embeds the old BDS into the new space.
- /*!
- \param m
- The number of dimensions to add.
-
- The new dimensions will be those having the highest indexes in the new
- BDS, which is defined by a system of bounded differences in which the
- variables running through the new dimensions are unconstrained.
- For instance, when starting from the BDS \f$\cB \sseq \Rset^2\f$
- and adding a third dimension, the result will be the BDS
- \f[
- \bigl\{\,
- (x, y, z)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cB
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Adds \p m new dimensions to the BDS and does not embed it in
- the new vector space.
-
- \param m
- The number of dimensions to add.
-
- The new dimensions will be those having the highest indexes in the
- new BDS, which is defined by a system of bounded differences in
- which the variables running through the new dimensions are all
- constrained to be equal to 0.
- For instance, when starting from the BDS \f$\cB \sseq \Rset^2\f$
- and adding a third dimension, the result will be the BDS
- \f[
- \bigl\{\,
- (x, y, 0)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cB
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- /*! \brief
- Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
- of \p *this and \p y, taken in this order.
-
- \exception std::length_error
- Thrown if the concatenation would cause the vector space
- to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void concatenate_assign(const BD_Shape& y);
-
- //! Removes all the specified dimensions.
- /*!
- \param vars
- The set of Variable objects corresponding to the dimensions to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the Variable
- objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher dimensions so that the resulting space
- will have dimension \p new_dimension.
-
- \exception std::invalid_argument
- Thrown if \p new_dimension is greater than the space dimension
- of \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
-
- \param pfunc
- The partial function specifying the destiny of each dimension.
-
- The template type parameter Partial_Function must provide
- the following methods.
- \code
- bool has_empty_codomain() const
- \endcode
- returns <CODE>true</CODE> if and only if the represented partial
- function has an empty co-domain (i.e., it is always undefined).
- The <CODE>has_empty_codomain()</CODE> method will always be called
- before the methods below. However, if
- <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
- of the functions below will be called.
- \code
- dimension_type max_in_codomain() const
- \endcode
- returns the maximum value that belongs to the co-domain
- of the partial function.
- \code
- bool maps(dimension_type i, dimension_type& j) const
- \endcode
- Let \f$f\f$ be the represented function and \f$k\f$ be the value
- of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
- assigned to \p j and <CODE>true</CODE> is returned.
- If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
- returned.
-
- The result is undefined if \p pfunc does not encode a partial
- function with the properties described in the
- \ref Mapping_the_Dimensions_of_the_Vector_Space
- "specification of the mapping operator".
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref expand_space_dimension "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars.
- Also thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are \ref fold_space_dimensions "folded"
- into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //! Refines \p store with the constraints defining \p *this.
- /*!
- \param store
- The interval floating point abstract store to refine.
- */
- template <typename Interval_Info>
- void refine_fp_interval_abstract_store(Box<Interval<T, Interval_Info> >&
- store) const;
-
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If \p x and \p y are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- friend bool operator==<T>(const BD_Shape<T>& x, const BD_Shape<T>& y);
-
- template <typename Temp, typename To, typename U>
- friend bool Parma_Polyhedra_Library::rectilinear_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<U>& x, const BD_Shape<U>& y, const Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2);
- template <typename Temp, typename To, typename U>
- friend bool Parma_Polyhedra_Library::euclidean_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<U>& x, const BD_Shape<U>& y, const Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2);
- template <typename Temp, typename To, typename U>
- friend bool Parma_Polyhedra_Library::l_infinity_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<U>& x, const BD_Shape<U>& y, const Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2);
-
-private:
- template <typename U> friend class Parma_Polyhedra_Library::BD_Shape;
- template <typename Interval> friend class Parma_Polyhedra_Library::Box;
-
- //! The matrix representing the system of bounded differences.
- DB_Matrix<N> dbm;
-
-#define PPL_IN_BD_Shape_CLASS
-#include "BDS_Status.idefs.hh"
-#undef PPL_IN_BD_Shape_CLASS
-
- //! The status flags to keep track of the internal state.
- Status status;
-
- //! A matrix indicating which constraints are redundant.
- Bit_Matrix redundancy_dbm;
-
- //! Returns <CODE>true</CODE> if the BDS is the zero-dimensional universe.
- bool marked_zero_dim_univ() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the BDS is known to be empty.
-
- The return value <CODE>false</CODE> does not necessarily
- implies that \p *this is non-empty.
- */
- bool marked_empty() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the system of bounded differences
- is known to be shortest-path closed.
-
- The return value <CODE>false</CODE> does not necessarily
- implies that <CODE>this->dbm</CODE> is not shortest-path closed.
- */
- bool marked_shortest_path_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the system of bounded differences
- is known to be shortest-path reduced.
-
- The return value <CODE>false</CODE> does not necessarily
- implies that <CODE>this->dbm</CODE> is not shortest-path reduced.
- */
- bool marked_shortest_path_reduced() const;
-
- //! Turns \p *this into an empty BDS.
- void set_empty();
-
- //! Turns \p *this into an zero-dimensional universe BDS.
- void set_zero_dim_univ();
-
- //! Marks \p *this as shortest-path closed.
- void set_shortest_path_closed();
-
- //! Marks \p *this as shortest-path closed.
- void set_shortest_path_reduced();
-
- //! Marks \p *this as possibly not shortest-path closed.
- void reset_shortest_path_closed();
-
- //! Marks \p *this as possibly not shortest-path reduced.
- void reset_shortest_path_reduced();
-
- //! Assigns to <CODE>this->dbm</CODE> its shortest-path closure.
- void shortest_path_closure_assign() const;
-
- /*! \brief
- Assigns to <CODE>this->dbm</CODE> its shortest-path closure and
- records into <CODE>this->redundancy_dbm</CODE> which of the entries
- in <CODE>this->dbm</CODE> are redundant.
- */
- void shortest_path_reduction_assign() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if <CODE>this->dbm</CODE>
- is shortest-path closed and <CODE>this->redundancy_dbm</CODE>
- correctly flags the redundant entries in <CODE>this->dbm</CODE>.
- */
- bool is_shortest_path_reduced() const;
-
- /*! \brief
- Incrementally computes shortest-path closure, assuming that only
- constraints affecting variable \p var need to be considered.
-
- \note
- It is assumed that \c *this, which was shortest-path closed,
- has only been modified by adding constraints affecting variable
- \p var. If this assumption is not satisfied, i.e., if a non-redundant
- constraint not affecting variable \p var has been added, the behavior
- is undefined.
- */
- void incremental_shortest_path_closure_assign(Variable var) const;
-
- //! Checks if and how \p expr is bounded in \p *this.
- /*!
- Returns <CODE>true</CODE> if and only if \p from_above is
- <CODE>true</CODE> and \p expr is bounded from above in \p *this,
- or \p from_above is <CODE>false</CODE> and \p expr is bounded
- from below in \p *this.
-
- \param expr
- The linear expression to test;
-
- \param from_above
- <CODE>true</CODE> if and only if the boundedness of interest is
- "from above".
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds(const Linear_Expression& expr, bool from_above) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p
- *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p * this;
-
- \param g
- When maximization or minimization succeeds, will be assigned
- a point or closure point where \p expr reaches the
- corresponding extremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p g are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator& g) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p
- *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p * this;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p point are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
-
- /*! \brief
- If the upper bound of \p *this and \p y is exact it is assigned
- to \p *this and \c true is returned, otherwise \c false is returned.
-
- Current implementation is based on a variant of Algorithm 4.1 in
- A. Bemporad, K. Fukuda, and F. D. Torrisi
- <em>Convexity Recognition of the Union of Polyhedra</em>
- Technical Report AUT00-13, ETH Zurich, 2000
- tailored to the special case of BD shapes.
-
- \note
- It is assumed that \p *this and \p y are dimension-compatible;
- if the assumption does not hold, the behavior is undefined.
- */
- bool BFT00_upper_bound_assign_if_exact(const BD_Shape& y);
-
- /*! \brief
- If the upper bound of \p *this and \p y is exact it is assigned
- to \p *this and \c true is returned, otherwise \c false is returned.
-
- Implementation for the rational (resp., integer) case is based on
- Theorem 5.2 (resp. Theorem 5.3) of \ref BHZ09b "[BHZ09b]".
- The Boolean template parameter \c integer_upper_bound allows for
- choosing between the rational and integer upper bound algorithms.
-
- \note
- It is assumed that \p *this and \p y are dimension-compatible;
- if the assumption does not hold, the behavior is undefined.
-
- \note
- The integer case is only enabled if T is an integer data type.
- */
- template <bool integer_upper_bound>
- bool BHZ09_upper_bound_assign_if_exact(const BD_Shape& y);
-
- /*! \brief
- Uses the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be added. Non BD constraints are ignored.
-
- \warning
- If \p c and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Constraint& c);
-
- /*! \brief
- Uses the congruence \p cg to refine \p *this.
-
- \param cg
- The congruence to be added.
- Nontrivial proper congruences are ignored.
- Non BD equalities are ignored.
-
- \warning
- If \p cg and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Congruence& cg);
-
- //! Adds the constraint <CODE>dbm[i][j] \<= k</CODE>.
- void add_dbm_constraint(dimension_type i, dimension_type j, const N& k);
-
- //! Adds the constraint <CODE>dbm[i][j] \<= numer/denom</CODE>.
- void add_dbm_constraint(dimension_type i, dimension_type j,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom);
-
- /*! \brief
- Adds to the BDS the constraint
- \f$\mathrm{var} \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$.
-
- Note that the coefficient of \p var in \p expr is null.
- */
- void refine(Variable var, Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- //! Removes all the constraints on row/column \p v.
- void forget_all_dbm_constraints(dimension_type v);
- //! Removes all binary constraints on row/column \p v.
- void forget_binary_dbm_constraints(dimension_type v);
-
- //! An helper function for the computation of affine relations.
- /*!
- For each dbm index \p u (less than or equal to \p last_v and different
- from \p v), deduce constraints of the form <CODE>v - u \<= c</CODE>,
- starting from \p ub_v which is an upper bound for \p v.
-
- The shortest-path closure is able to deduce the constraint
- <CODE>v - u \<= ub_v - lb_u</CODE>. We can be more precise if variable
- \p u played an active role in the computation of the upper bound for
- \p v, i.e., if the corresponding coefficient
- <CODE>q == sc_expr[u]/sc_denom</CODE> is greater than zero. In particular:
- - if <CODE>q \>= 1</CODE>, then <CODE>v - u \<= ub_v - ub_u</CODE>;
- - if <CODE>0 \< q \< 1</CODE>, then
- <CODE>v - u \<= ub_v - (q*ub_u + (1-q)*lb_u)</CODE>.
- */
- void deduce_v_minus_u_bounds(dimension_type v,
- dimension_type last_v,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& ub_v);
-
- /* \brief
- Auxiliary function for \ref affine_form_relation "affine form image" that
- handle the general case: \f$l \equal c\f$
- */
- template <typename Interval_Info>
- void inhomogeneous_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b);
-
- /* \brief
- Auxiliary function for \ref affine_form_relation "affine form image" that
- handle the general case: \f$l \equal ax + c\f$
- */
- template <typename Interval_Info>
- void one_variable_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b,
- const Interval<T, Interval_Info>& w_coeff,
- const dimension_type& w_id,
- const dimension_type& space_dim);
-
- /* \brief
- Auxiliary function for \ref affine_form_relation "affine form image" that
- handle the general case: \f$l \equal ax + by + c\f$
- */
- template <typename Interval_Info>
- void two_variables_affine_form_image(const dimension_type& var_id,
- const Linear_Form<Interval<T,Interval_Info> >& lf,
- const dimension_type& space_dim);
-
- /* \brief
- Auxiliary function for refine with linear form that handle
- the general case: \f$l \equal ax + c\f$
- */
- template <typename Interval_Info>
- void left_inhomogeneous_refine(const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
-
- /* \brief
- Auxiliary function for refine with linear form that handle
- the general case: \f$ax +b \equal cy + d\f$
- */
- template <typename Interval_Info>
- void left_one_var_refine(const dimension_type& left_w_id,
- const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
-
-/* \brief
- Auxiliary function for refine with linear form that handle
- the general case.
- */
- template <typename Interval_Info>
- void general_refine(const dimension_type& left_w_id,
- const dimension_type& right_w_id,
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
-
- template <typename Interval_Info>
- void linear_form_upper_bound(const Linear_Form<Interval<T, Interval_Info> >&
- lf,
- N& result) const;
-
- //! An helper function for the computation of affine relations.
- /*!
- For each dbm index \p u (less than or equal to \p last_v and different
- from \p v), deduce constraints of the form <CODE>u - v \<= c</CODE>,
- starting from \p minus_lb_v which is a lower bound for \p v.
-
- The shortest-path closure is able to deduce the constraint
- <CODE>u - v \<= ub_u - lb_v</CODE>. We can be more precise if variable
- \p u played an active role in the computation of the lower bound for
- \p v, i.e., if the corresponding coefficient
- <CODE>q == sc_expr[u]/sc_denom</CODE> is greater than zero.
- In particular:
- - if <CODE>q \>= 1</CODE>, then <CODE>u - v \<= lb_u - lb_v</CODE>;
- - if <CODE>0 \< q \< 1</CODE>, then
- <CODE>u - v \<= (q*lb_u + (1-q)*ub_u) - lb_v</CODE>.
- */
- void deduce_u_minus_v_bounds(dimension_type v,
- dimension_type last_v,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& minus_lb_v);
-
- /*! \brief
- Adds to \p limiting_shape the bounded differences in \p cs
- that are satisfied by \p *this.
- */
- void get_limiting_shape(const Constraint_System& cs,
- BD_Shape& limiting_shape) const;
-
- //! Compute the (zero-equivalence classes) predecessor relation.
- /*!
- It is assumed that the BDS is not empty and shortest-path closed.
- */
- void compute_predecessors(std::vector<dimension_type>& predecessor) const;
-
- //! Compute the leaders of zero-equivalence classes.
- /*!
- It is assumed that the BDS is not empty and shortest-path closed.
- */
- void compute_leaders(std::vector<dimension_type>& leaders) const;
-
- void drop_some_non_integer_points_helper(N& elem);
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators
- ::operator<<<>(std::ostream& s, const BD_Shape<T>& c);
-
- //! \name Exception Throwers
- //@{
- void throw_dimension_incompatible(const char* method,
- const BD_Shape& y) const;
-
- void throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const;
-
- void throw_dimension_incompatible(const char* method,
- const Constraint& c) const;
-
- void throw_dimension_incompatible(const char* method,
- const Congruence& cg) const;
-
- void throw_dimension_incompatible(const char* method,
- const Generator& g) const;
-
- void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
-
- template<typename Interval_Info>
- void
- throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<Interval<T, Interval_Info> >&
- lf) const;
-
- static void throw_expression_too_complex(const char* method,
- const Linear_Expression& le);
-
- static void throw_invalid_argument(const char* method, const char* reason);
- //@} // Exception Throwers
-};
-
-#include "BDS_Status.inlines.hh"
-#include "BD_Shape.inlines.hh"
-#include "BD_Shape.templates.hh"
-
-#endif // !defined(PPL_BD_Shape_defs_hh)
diff --git a/src/BD_Shape.inlines.hh b/src/BD_Shape.inlines.hh
deleted file mode 100644
index cfbd4df..0000000
--- a/src/BD_Shape.inlines.hh
+++ /dev/null
@@ -1,910 +0,0 @@
-/* BD_Shape class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BD_Shape_inlines_hh
-#define PPL_BD_Shape_inlines_hh 1
-
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "C_Polyhedron.defs.hh"
-#include "Grid.defs.hh"
-#include "Octagonal_Shape.defs.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "Temp.defs.hh"
-#include "meta_programming.hh"
-#include "wrap_assign.hh"
-#include "assert.hh"
-#include <vector>
-#include <iostream>
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline dimension_type
-BD_Shape<T>::max_space_dimension() {
- // One dimension is reserved to have a value of type dimension_type
- // that does not represent a legal dimension.
- return std::min(DB_Matrix<N>::max_num_rows() - 1,
- DB_Matrix<N>::max_num_columns() - 1);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::marked_zero_dim_univ() const {
- return status.test_zero_dim_univ();
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::marked_empty() const {
- return status.test_empty();
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::marked_shortest_path_closed() const {
- return status.test_shortest_path_closed();
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::marked_shortest_path_reduced() const {
- return status.test_shortest_path_reduced();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::set_zero_dim_univ() {
- status.set_zero_dim_univ();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::set_empty() {
- status.set_empty();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::set_shortest_path_closed() {
- status.set_shortest_path_closed();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::set_shortest_path_reduced() {
- status.set_shortest_path_reduced();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::reset_shortest_path_closed() {
- status.reset_shortest_path_closed();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::reset_shortest_path_reduced() {
- status.reset_shortest_path_reduced();
-}
-
-template <typename T>
-inline
-BD_Shape<T>::BD_Shape(const dimension_type num_dimensions,
- const Degenerate_Element kind)
- : dbm(num_dimensions + 1), status(), redundancy_dbm() {
- if (kind == EMPTY)
- set_empty();
- else {
- if (num_dimensions > 0)
- // A (non zero-dim) universe BDS is closed.
- set_shortest_path_closed();
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline
-BD_Shape<T>::BD_Shape(const BD_Shape& y, Complexity_Class)
- : dbm(y.dbm), status(y.status), redundancy_dbm() {
- if (y.marked_shortest_path_reduced())
- redundancy_dbm = y.redundancy_dbm;
-}
-
-template <typename T>
-template <typename U>
-inline
-BD_Shape<T>::BD_Shape(const BD_Shape<U>& y, Complexity_Class)
- // For maximum precision, enforce shortest-path closure
- // before copying the DB matrix.
- : dbm((y.shortest_path_closure_assign(), y.dbm)),
- status(),
- redundancy_dbm() {
- // TODO: handle flags properly, possibly taking special cases into account.
- if (y.marked_empty())
- set_empty();
- else if (y.marked_zero_dim_univ())
- set_zero_dim_univ();
-}
-
-template <typename T>
-inline Congruence_System
-BD_Shape<T>::congruences() const {
- return minimized_congruences();
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::add_constraints(const Constraint_System& cs) {
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
- add_constraint(*i);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::add_recycled_constraints(Constraint_System& cs) {
- add_constraints(cs);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::add_congruences(const Congruence_System& cgs) {
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
- add_congruence(*i);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::add_recycled_congruences(Congruence_System& cgs) {
- add_congruences(cgs);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::refine_with_constraint(const Constraint& c) {
- const dimension_type c_space_dim = c.space_dimension();
- // Dimension-compatibility check.
- if (c_space_dim > space_dimension())
- throw_dimension_incompatible("refine_with_constraint(c)", c);
-
- if (!marked_empty())
- refine_no_check(c);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::refine_with_constraints(const Constraint_System& cs) {
- // Dimension-compatibility check.
- if (cs.space_dimension() > space_dimension())
- throw_invalid_argument("refine_with_constraints(cs)",
- "cs and *this are space-dimension incompatible");
-
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
- refine_no_check(*i);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::refine_with_congruence(const Congruence& cg) {
- const dimension_type cg_space_dim = cg.space_dimension();
- // Dimension-compatibility check.
- if (cg_space_dim > space_dimension())
- throw_dimension_incompatible("refine_with_congruence(cg)", cg);
-
- if (!marked_empty())
- refine_no_check(cg);
-}
-
-template <typename T>
-void
-BD_Shape<T>::refine_with_congruences(const Congruence_System& cgs) {
- // Dimension-compatibility check.
- if (cgs.space_dimension() > space_dimension())
- throw_invalid_argument("refine_with_congruences(cgs)",
- "cgs and *this are space-dimension incompatible");
-
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
- refine_no_check(*i);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::refine_no_check(const Congruence& cg) {
- PPL_ASSERT(!marked_empty());
- PPL_ASSERT(cg.space_dimension() <= space_dimension());
-
- if (cg.is_proper_congruence()) {
- if (cg.is_inconsistent())
- set_empty();
- // Other proper congruences are just ignored.
- return;
- }
-
- PPL_ASSERT(cg.is_equality());
- Constraint c(cg);
- refine_no_check(c);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::can_recycle_constraint_systems() {
- return false;
-}
-
-
-template <typename T>
-inline bool
-BD_Shape<T>::can_recycle_congruence_systems() {
- return false;
-}
-
-template <typename T>
-inline
-BD_Shape<T>::BD_Shape(const Constraint_System& cs)
- : dbm(cs.space_dimension() + 1), status(), redundancy_dbm() {
- if (cs.space_dimension() > 0)
- // A (non zero-dim) universe BDS is shortest-path closed.
- set_shortest_path_closed();
- add_constraints(cs);
-}
-
-template <typename T>
-template <typename Interval>
-inline
-BD_Shape<T>::BD_Shape(const Box<Interval>& box,
- Complexity_Class)
- : dbm(box.space_dimension() + 1), status(), redundancy_dbm() {
- // Check emptiness for maximum precision.
- if (box.is_empty())
- set_empty();
- else if (box.space_dimension() > 0) {
- // A (non zero-dim) universe BDS is shortest-path closed.
- set_shortest_path_closed();
- refine_with_constraints(box.constraints());
- }
-}
-
-template <typename T>
-inline
-BD_Shape<T>::BD_Shape(const Grid& grid,
- Complexity_Class)
- : dbm(grid.space_dimension() + 1), status(), redundancy_dbm() {
- if (grid.space_dimension() > 0)
- // A (non zero-dim) universe BDS is shortest-path closed.
- set_shortest_path_closed();
- // Taking minimized congruences ensures maximum precision.
- refine_with_congruences(grid.minimized_congruences());
-}
-
-template <typename T>
-template <typename U>
-inline
-BD_Shape<T>::BD_Shape(const Octagonal_Shape<U>& os,
- Complexity_Class)
- : dbm(os.space_dimension() + 1), status(), redundancy_dbm() {
- // Check for emptiness for maximum precision.
- if (os.is_empty())
- set_empty();
- else if (os.space_dimension() > 0) {
- // A (non zero-dim) universe BDS is shortest-path closed.
- set_shortest_path_closed();
- refine_with_constraints(os.constraints());
- // After refining, shortest-path closure is possibly lost
- // (even when `os' was strongly closed: recall that U
- // is possibly different from T).
- }
-}
-
-template <typename T>
-inline BD_Shape<T>&
-BD_Shape<T>::operator=(const BD_Shape& y) {
- dbm = y.dbm;
- status = y.status;
- if (y.marked_shortest_path_reduced())
- redundancy_dbm = y.redundancy_dbm;
- return *this;
-}
-
-template <typename T>
-inline
-BD_Shape<T>::~BD_Shape() {
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::m_swap(BD_Shape& y) {
- using std::swap;
- swap(dbm, y.dbm);
- swap(status, y.status);
- swap(redundancy_dbm, y.redundancy_dbm);
-}
-
-template <typename T>
-inline dimension_type
-BD_Shape<T>::space_dimension() const {
- return dbm.num_rows() - 1;
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::is_empty() const {
- shortest_path_closure_assign();
- return marked_empty();
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::bounds_from_above(const Linear_Expression& expr) const {
- return bounds(expr, true);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::bounds_from_below(const Linear_Expression& expr) const {
- return bounds(expr, false);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
- return max_min(expr, true, sup_n, sup_d, maximum);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const {
- return max_min(expr, true, sup_n, sup_d, maximum, g);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
- return max_min(expr, false, inf_n, inf_d, minimum);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const {
- return max_min(expr, false, inf_n, inf_d, minimum, g);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::is_topologically_closed() const {
- return true;
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::is_discrete() const {
- return affine_dimension() == 0;
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::topological_closure_assign() {
-}
-
-/*! \relates BD_Shape */
-template <typename T>
-inline bool
-operator==(const BD_Shape<T>& x, const BD_Shape<T>& y) {
- const dimension_type x_space_dim = x.space_dimension();
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- return false;
-
- // Zero-dim BDSs are equal if and only if they are both empty or universe.
- if (x_space_dim == 0) {
- if (x.marked_empty())
- return y.marked_empty();
- else
- return !y.marked_empty();
- }
-
- // The exact equivalence test requires shortest-path closure.
- x.shortest_path_closure_assign();
- y.shortest_path_closure_assign();
-
- // If one of two BDSs is empty, then they are equal
- // if and only if the other BDS is empty too.
- if (x.marked_empty())
- return y.marked_empty();
- if (y.marked_empty())
- return false;
- // Check for syntactic equivalence of the two (shortest-path closed)
- // systems of bounded differences.
- return x.dbm == y.dbm;
-}
-
-/*! \relates BD_Shape */
-template <typename T>
-inline bool
-operator!=(const BD_Shape<T>& x, const BD_Shape<T>& y) {
- return !(x == y);
-}
-
-/*! \relates BD_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- const dimension_type x_space_dim = x.space_dimension();
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- return false;
-
- // Zero-dim BDSs are equal if and only if they are both empty or universe.
- if (x_space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires shortest-path closure.
- x.shortest_path_closure_assign();
- y.shortest_path_closure_assign();
-
- // If one of two BDSs is empty, then they are equal if and only if
- // the other BDS is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- return rectilinear_distance_assign(r, x.dbm, y.dbm, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates BD_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates BD_Shape */
-template <typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
- return rectilinear_distance_assign<To, To, T>(r, x, y, dir);
-}
-
-/*! \relates BD_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- const dimension_type x_space_dim = x.space_dimension();
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- return false;
-
- // Zero-dim BDSs are equal if and only if they are both empty or universe.
- if (x_space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires shortest-path closure.
- x.shortest_path_closure_assign();
- y.shortest_path_closure_assign();
-
- // If one of two BDSs is empty, then they are equal if and only if
- // the other BDS is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- return euclidean_distance_assign(r, x.dbm, y.dbm, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates BD_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates BD_Shape */
-template <typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
- return euclidean_distance_assign<To, To, T>(r, x, y, dir);
-}
-
-/*! \relates BD_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- const dimension_type x_space_dim = x.space_dimension();
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- return false;
-
- // Zero-dim BDSs are equal if and only if they are both empty or universe.
- if (x_space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires shortest-path closure.
- x.shortest_path_closure_assign();
- y.shortest_path_closure_assign();
-
- // If one of two BDSs is empty, then they are equal if and only if
- // the other BDS is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- return l_infinity_distance_assign(r, x.dbm, y.dbm, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates BD_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates BD_Shape */
-template <typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
- return l_infinity_distance_assign<To, To, T>(r, x, y, dir);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::add_dbm_constraint(const dimension_type i,
- const dimension_type j,
- const N& k) {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(i <= space_dimension() && j <= space_dimension() && i != j);
- N& dbm_ij = dbm[i][j];
- if (dbm_ij > k) {
- dbm_ij = k;
- if (marked_shortest_path_closed())
- reset_shortest_path_closed();
- }
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::add_dbm_constraint(const dimension_type i,
- const dimension_type j,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(i <= space_dimension() && j <= space_dimension() && i != j);
- PPL_ASSERT(denom != 0);
- PPL_DIRTY_TEMP(N, k);
- div_round_up(k, numer, denom);
- add_dbm_constraint(i, j, k);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::time_elapse_assign(const BD_Shape& y) {
- // Dimension-compatibility check.
- if (space_dimension() != y.space_dimension())
- throw_dimension_incompatible("time_elapse_assign(y)", y);
- // Compute time-elapse on polyhedra.
- // TODO: provide a direct implementation.
- C_Polyhedron ph_x(constraints());
- C_Polyhedron ph_y(y.constraints());
- ph_x.time_elapse_assign(ph_y);
- BD_Shape<T> x(ph_x);
- m_swap(x);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::strictly_contains(const BD_Shape& y) const {
- const BD_Shape<T>& x = *this;
- return x.contains(y) && !y.contains(x);
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::upper_bound_assign_if_exact(const BD_Shape& y) {
- if (space_dimension() != y.space_dimension())
- throw_dimension_incompatible("upper_bound_assign_if_exact(y)", y);
-#if 0
- return BFT00_upper_bound_assign_if_exact(y);
-#else
- const bool integer_upper_bound = false;
- return BHZ09_upper_bound_assign_if_exact<integer_upper_bound>(y);
-#endif
-}
-
-template <typename T>
-inline bool
-BD_Shape<T>::integer_upper_bound_assign_if_exact(const BD_Shape& y) {
- PPL_COMPILE_TIME_CHECK(std::numeric_limits<T>::is_integer,
- "BD_Shape<T>::integer_upper_bound_assign_if_exact(y):"
- " T in not an integer datatype.");
- if (space_dimension() != y.space_dimension())
- throw_dimension_incompatible("integer_upper_bound_assign_if_exact(y)", y);
- const bool integer_upper_bound = true;
- return BHZ09_upper_bound_assign_if_exact<integer_upper_bound>(y);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>
-::remove_higher_space_dimensions(const dimension_type new_dimension) {
- // Dimension-compatibility check: the variable having
- // maximum index is the one occurring last in the set.
- const dimension_type space_dim = space_dimension();
- if (new_dimension > space_dim)
- throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
- new_dimension);
-
- // The removal of no dimensions from any BDS is a no-op.
- // Note that this case also captures the only legal removal of
- // dimensions from a zero-dim space BDS.
- if (new_dimension == space_dim) {
- PPL_ASSERT(OK());
- return;
- }
-
- // Shortest-path closure is necessary as in remove_space_dimensions().
- shortest_path_closure_assign();
- dbm.resize_no_copy(new_dimension + 1);
-
- // Shortest-path closure is maintained.
- // TODO: see whether or not reduction can be (efficiently!) maintained too.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
-
- // If we removed _all_ dimensions from a non-empty BDS,
- // the zero-dim universe BDS has been obtained.
- if (new_dimension == 0 && !marked_empty())
- set_zero_dim_univ();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p,
- unsigned complexity_threshold,
- bool wrap_individually) {
- Implementation::wrap_assign(*this,
- vars, w, r, o, cs_p,
- complexity_threshold, wrap_individually,
- "BD_Shape");
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::CC76_extrapolation_assign(const BD_Shape& y, unsigned* tp) {
- static N stop_points[] = {
- N(-2, ROUND_UP),
- N(-1, ROUND_UP),
- N( 0, ROUND_UP),
- N( 1, ROUND_UP),
- N( 2, ROUND_UP)
- };
- CC76_extrapolation_assign(y,
- stop_points,
- stop_points
- + sizeof(stop_points)/sizeof(stop_points[0]),
- tp);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::H79_widening_assign(const BD_Shape& y, unsigned* tp) {
- // Compute the H79 widening on polyhedra.
- // TODO: provide a direct implementation.
- C_Polyhedron ph_x(constraints());
- C_Polyhedron ph_y(y.constraints());
- ph_x.H79_widening_assign(ph_y, tp);
- BD_Shape x(ph_x);
- m_swap(x);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::widening_assign(const BD_Shape& y, unsigned* tp) {
- H79_widening_assign(y, tp);
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::limited_H79_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp) {
- // Compute the limited H79 extrapolation on polyhedra.
- // TODO: provide a direct implementation.
- C_Polyhedron ph_x(constraints());
- C_Polyhedron ph_y(y.constraints());
- ph_x.limited_H79_extrapolation_assign(ph_y, cs, tp);
- BD_Shape x(ph_x);
- m_swap(x);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline memory_size_type
-BD_Shape<T>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename T>
-inline int32_t
-BD_Shape<T>::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-template <typename T>
-template <typename Interval_Info>
-inline void
-BD_Shape<T>::generalized_refine_with_linear_form_inequality(
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right,
- const Relation_Symbol relsym) {
- switch (relsym) {
- case EQUAL:
- // TODO: see if we can handle this case more efficiently.
- refine_with_linear_form_inequality(left, right);
- refine_with_linear_form_inequality(right, left);
- break;
- case LESS_THAN:
- case LESS_OR_EQUAL:
- refine_with_linear_form_inequality(left, right);
- break;
- case GREATER_THAN:
- case GREATER_OR_EQUAL:
- refine_with_linear_form_inequality(right, left);
- break;
- case NOT_EQUAL:
- break;
- default:
- PPL_UNREACHABLE;
- }
-}
-
-template <typename T>
-template <typename Interval_Info>
-inline void
-BD_Shape<T>
-::refine_fp_interval_abstract_store(Box<Interval<T, Interval_Info> >&
- store) const {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "BD_Shape<T>::refine_fp_interval_abstract_store:"
- " T not a floating point type.");
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
- store.intersection_assign(Box<FP_Interval_Type>(*this));
-}
-
-template <typename T>
-inline void
-BD_Shape<T>::drop_some_non_integer_points_helper(N& elem) {
- if (!is_integer(elem)) {
- Result r = floor_assign_r(elem, elem, ROUND_DOWN);
- PPL_USED(r);
- PPL_ASSERT(r == V_EQ);
- reset_shortest_path_closed();
- }
-}
-
-/*! \relates BD_Shape */
-template <typename T>
-inline void
-swap(BD_Shape<T>& x, BD_Shape<T>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_BD_Shape_inlines_hh)
diff --git a/src/BD_Shape.templates.hh b/src/BD_Shape.templates.hh
deleted file mode 100644
index f14bae4..0000000
--- a/src/BD_Shape.templates.hh
+++ /dev/null
@@ -1,6781 +0,0 @@
-/* BD_Shape class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BD_Shape_templates_hh
-#define PPL_BD_Shape_templates_hh 1
-
-#include "Generator_System.defs.hh"
-#include "Generator_System.inlines.hh"
-#include "Congruence_System.inlines.hh"
-#include "Congruence_System.defs.hh"
-#include "Interval.defs.hh"
-#include "Linear_Form.defs.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "MIP_Problem.defs.hh"
-#include "Variables_Set.defs.hh"
-#include "Bit_Row.defs.hh"
-#include "Temp.defs.hh"
-#include "assert.hh"
-#include <vector>
-#include <deque>
-#include <iostream>
-#include <sstream>
-#include <stdexcept>
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-BD_Shape<T>::BD_Shape(const Congruence_System& cgs)
- : dbm(cgs.space_dimension() + 1),
- status(),
- redundancy_dbm() {
- add_congruences(cgs);
-}
-
-template <typename T>
-BD_Shape<T>::BD_Shape(const Generator_System& gs)
- : dbm(gs.space_dimension() + 1), status(), redundancy_dbm() {
- const Generator_System::const_iterator gs_begin = gs.begin();
- const Generator_System::const_iterator gs_end = gs.end();
- if (gs_begin == gs_end) {
- // An empty generator system defines the empty BD shape.
- set_empty();
- return;
- }
-
- const dimension_type space_dim = space_dimension();
- DB_Row<N>& dbm_0 = dbm[0];
- PPL_DIRTY_TEMP(N, tmp);
-
- bool dbm_initialized = false;
- bool point_seen = false;
- // Going through all the points and closure points.
- for (Generator_System::const_iterator gs_i = gs_begin;
- gs_i != gs_end; ++gs_i) {
- const Generator& g = *gs_i;
- switch (g.type()) {
- case Generator::POINT:
- point_seen = true;
- // Intentionally fall through.
- case Generator::CLOSURE_POINT:
- if (!dbm_initialized) {
- // When handling the first (closure) point, we initialize the DBM.
- dbm_initialized = true;
- const Coefficient& d = g.divisor();
- // TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i > 0; --i) {
- const Coefficient& g_i = g.expression().get(Variable(i - 1));
- DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = space_dim; j > 0; --j)
- if (i != j)
- div_round_up(dbm_i[j], g.expression().get(Variable(j - 1)) - g_i, d);
- div_round_up(dbm_i[0], -g_i, d);
- }
- for (dimension_type j = space_dim; j > 0; --j)
- div_round_up(dbm_0[j], g.expression().get(Variable(j - 1)), d);
- // Note: no need to initialize the first element of the main diagonal.
- }
- else {
- // This is not the first point: the DBM already contains
- // valid values and we must compute maxima.
- const Coefficient& d = g.divisor();
- // TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i > 0; --i) {
- const Coefficient& g_i = g.expression().get(Variable(i - 1));
- DB_Row<N>& dbm_i = dbm[i];
- // The loop correctly handles the case when i == j.
- for (dimension_type j = space_dim; j > 0; --j) {
- div_round_up(tmp, g.expression().get(Variable(j - 1)) - g_i, d);
- max_assign(dbm_i[j], tmp);
- }
- div_round_up(tmp, -g_i, d);
- max_assign(dbm_i[0], tmp);
- }
- for (dimension_type j = space_dim; j > 0; --j) {
- div_round_up(tmp, g.expression().get(Variable(j - 1)), d);
- max_assign(dbm_0[j], tmp);
- }
- }
- break;
- default:
- // Lines and rays temporarily ignored.
- break;
- }
- }
-
- if (!point_seen)
- // The generator system is not empty, but contains no points.
- throw_invalid_argument("BD_Shape(gs)",
- "the non-empty generator system gs "
- "contains no points.");
-
- // Going through all the lines and rays.
- for (Generator_System::const_iterator gs_i = gs_begin;
- gs_i != gs_end; ++gs_i) {
- const Generator& g = *gs_i;
- switch (g.type()) {
- case Generator::LINE:
- // TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i > 0; --i) {
- const Coefficient& g_i = g.expression().get(Variable(i - 1));
- DB_Row<N>& dbm_i = dbm[i];
- // The loop correctly handles the case when i == j.
- for (dimension_type j = space_dim; j > 0; --j)
- if (g_i != g.expression().get(Variable(j - 1)))
- assign_r(dbm_i[j], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (g_i != 0)
- assign_r(dbm_i[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- for (Generator::Expression::const_iterator i = g.expression().begin(),
- i_end = g.expression().end(); i != i_end; ++i)
- assign_r(dbm_0[i.variable().space_dimension()],
- PLUS_INFINITY, ROUND_NOT_NEEDED);
- break;
- case Generator::RAY:
- // TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i > 0; --i) {
- const Coefficient& g_i = g.expression().get(Variable(i - 1));
- DB_Row<N>& dbm_i = dbm[i];
- // The loop correctly handles the case when i == j.
- for (dimension_type j = space_dim; j > 0; --j)
- if (g_i < g.expression().get(Variable(j - 1)))
- assign_r(dbm_i[j], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (g_i < 0)
- assign_r(dbm_i[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- for (Generator::Expression::const_iterator i = g.expression().begin(),
- i_end = g.expression().end(); i != i_end; ++i)
- if (*i > 0)
- assign_r(dbm_0[i.variable().space_dimension()],
- PLUS_INFINITY, ROUND_NOT_NEEDED);
- break;
- default:
- // Points and closure points already dealt with.
- break;
- }
- }
- set_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-BD_Shape<T>::BD_Shape(const Polyhedron& ph, const Complexity_Class complexity)
- : dbm(), status(), redundancy_dbm() {
- const dimension_type num_dimensions = ph.space_dimension();
-
- if (ph.marked_empty()) {
- *this = BD_Shape<T>(num_dimensions, EMPTY);
- return;
- }
-
- if (num_dimensions == 0) {
- *this = BD_Shape<T>(num_dimensions, UNIVERSE);
- return;
- }
-
- // Build from generators when we do not care about complexity
- // or when the process has polynomial complexity.
- if (complexity == ANY_COMPLEXITY
- || (!ph.has_pending_constraints() && ph.generators_are_up_to_date())) {
- *this = BD_Shape<T>(ph.generators());
- return;
- }
-
- // We cannot afford exponential complexity, we do not have a complete set
- // of generators for the polyhedron, and the polyhedron is not trivially
- // empty or zero-dimensional. Constraints, however, are up to date.
- PPL_ASSERT(ph.constraints_are_up_to_date());
-
- if (!ph.has_something_pending() && ph.constraints_are_minimized()) {
- // If the constraint system of the polyhedron is minimized,
- // the test `is_universe()' has polynomial complexity.
- if (ph.is_universe()) {
- *this = BD_Shape<T>(num_dimensions, UNIVERSE);
- return;
- }
- }
-
- // See if there is at least one inconsistent constraint in `ph.con_sys'.
- for (Constraint_System::const_iterator i = ph.con_sys.begin(),
- cs_end = ph.con_sys.end(); i != cs_end; ++i)
- if (i->is_inconsistent()) {
- *this = BD_Shape<T>(num_dimensions, EMPTY);
- return;
- }
-
- // If `complexity' allows it, use simplex to derive the exact (modulo
- // the fact that our BDSs are topologically closed) variable bounds.
- if (complexity == SIMPLEX_COMPLEXITY) {
- MIP_Problem lp(num_dimensions);
- lp.set_optimization_mode(MAXIMIZATION);
-
- const Constraint_System& ph_cs = ph.constraints();
- if (!ph_cs.has_strict_inequalities())
- lp.add_constraints(ph_cs);
- else
- // Adding to `lp' a topologically closed version of `ph_cs'.
- for (Constraint_System::const_iterator i = ph_cs.begin(),
- ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_strict_inequality())
- lp.add_constraint(Linear_Expression(c) >= 0);
- else
- lp.add_constraint(c);
- }
-
- // Check for unsatisfiability.
- if (!lp.is_satisfiable()) {
- *this = BD_Shape<T>(num_dimensions, EMPTY);
- return;
- }
-
- // Start with a universe BDS that will be refined by the simplex.
- *this = BD_Shape<T>(num_dimensions, UNIVERSE);
- // Get all the upper bounds.
- Generator g(point());
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- for (dimension_type i = 1; i <= num_dimensions; ++i) {
- Variable x(i-1);
- // Evaluate optimal upper bound for `x <= ub'.
- lp.set_objective_function(x);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(dbm[0][i], numer, denom);
- }
- // Evaluate optimal upper bound for `x - y <= ub'.
- for (dimension_type j = 1; j <= num_dimensions; ++j) {
- if (i == j)
- continue;
- Variable y(j-1);
- lp.set_objective_function(x - y);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(dbm[j][i], numer, denom);
- }
- }
- // Evaluate optimal upper bound for `-x <= ub'.
- lp.set_objective_function(-x);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(dbm[i][0], numer, denom);
- }
- }
- set_shortest_path_closed();
- PPL_ASSERT(OK());
- return;
- }
-
- // Extract easy-to-find bounds from constraints.
- PPL_ASSERT(complexity == POLYNOMIAL_COMPLEXITY);
- *this = BD_Shape<T>(num_dimensions, UNIVERSE);
- refine_with_constraints(ph.constraints());
-}
-
-template <typename T>
-dimension_type
-BD_Shape<T>::affine_dimension() const {
- const dimension_type space_dim = space_dimension();
- // A zero-space-dim shape always has affine dimension zero.
- if (space_dim == 0)
- return 0;
-
- // Shortest-path closure is necessary to detect emptiness
- // and all (possibly implicit) equalities.
- shortest_path_closure_assign();
- if (marked_empty())
- return 0;
-
- // The vector `predecessor' is used to represent equivalence classes:
- // `predecessor[i] == i' if and only if `i' is the leader of its
- // equivalence class (i.e., the minimum index in the class).
- std::vector<dimension_type> predecessor;
- compute_predecessors(predecessor);
-
- // Due to the fictitious variable `0', the affine dimension is one
- // less the number of equivalence classes.
- dimension_type affine_dim = 0;
- // Note: disregard the first equivalence class.
- for (dimension_type i = 1; i <= space_dim; ++i)
- if (predecessor[i] == i)
- ++affine_dim;
-
- return affine_dim;
-}
-
-template <typename T>
-Congruence_System
-BD_Shape<T>::minimized_congruences() const {
- // Shortest-path closure is necessary to detect emptiness
- // and all (possibly implicit) equalities.
- shortest_path_closure_assign();
-
- const dimension_type space_dim = space_dimension();
- Congruence_System cgs(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cgs = Congruence_System::zero_dim_empty();
- return cgs;
- }
-
- if (marked_empty()) {
- cgs.insert(Congruence::zero_dim_false());
- return cgs;
- }
-
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
-
- // Compute leader information.
- std::vector<dimension_type> leaders;
- compute_leaders(leaders);
-
- // Go through the non-leaders to generate equality constraints.
- const DB_Row<N>& dbm_0 = dbm[0];
- for (dimension_type i = 1; i <= space_dim; ++i) {
- const dimension_type leader = leaders[i];
- if (i != leader) {
- // Generate the constraint relating `i' and its leader.
- if (leader == 0) {
- // A unary equality has to be generated.
- PPL_ASSERT(!is_plus_infinity(dbm_0[i]));
- numer_denom(dbm_0[i], numer, denom);
- cgs.insert(denom*Variable(i-1) == numer);
- }
- else {
- // A binary equality has to be generated.
- PPL_ASSERT(!is_plus_infinity(dbm[i][leader]));
- numer_denom(dbm[i][leader], numer, denom);
- cgs.insert(denom*Variable(leader-1) - denom*Variable(i-1) == numer);
- }
- }
- }
- return cgs;
-}
-
-template <typename T>
-void
-BD_Shape<T>::add_constraint(const Constraint& c) {
- // Dimension-compatibility check.
- if (c.space_dimension() > space_dimension())
- throw_dimension_incompatible("add_constraint(c)", c);
-
- // Get rid of strict inequalities.
- if (c.is_strict_inequality()) {
- if (c.is_inconsistent()) {
- set_empty();
- return;
- }
- if (c.is_tautological())
- return;
- // Nontrivial strict inequalities are not allowed.
- throw_invalid_argument("add_constraint(c)",
- "strict inequalities are not allowed");
- }
-
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- // Constraints that are not bounded differences are not allowed.
- if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff))
- throw_invalid_argument("add_constraint(c)",
- "c is not a bounded difference constraint");
-
- const Coefficient& inhomo = c.inhomogeneous_term();
- if (num_vars == 0) {
- // Dealing with a trivial constraint (not a strict inequality).
- if (inhomo < 0
- || (inhomo != 0 && c.is_equality()))
- set_empty();
- return;
- }
-
- // Select the cell to be modified for the "<=" part of the constraint,
- // and set `coeff' to the absolute value of itself.
- const bool negative = (coeff < 0);
- if (negative)
- neg_assign(coeff);
-
- bool changed = false;
- N& x = negative ? dbm[i][j] : dbm[j][i];
- // Compute the bound for `x', rounding towards plus infinity.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, inhomo, coeff);
- if (x > d) {
- x = d;
- changed = true;
- }
-
- if (c.is_equality()) {
- N& y = negative ? dbm[j][i] : dbm[i][j];
- // Also compute the bound for `y', rounding towards plus infinity.
- PPL_DIRTY_TEMP_COEFFICIENT(minus_c_term);
- neg_assign(minus_c_term, inhomo);
- div_round_up(d, minus_c_term, coeff);
- if (y > d) {
- y = d;
- changed = true;
- }
- }
-
- // In general, adding a constraint does not preserve the shortest-path
- // closure or reduction of the bounded difference shape.
- if (changed && marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::add_congruence(const Congruence& cg) {
- const dimension_type cg_space_dim = cg.space_dimension();
- // Dimension-compatibility check:
- // the dimension of `cg' can not be greater than space_dim.
- if (space_dimension() < cg_space_dim)
- throw_dimension_incompatible("add_congruence(cg)", cg);
-
- // Handle the case of proper congruences first.
- if (cg.is_proper_congruence()) {
- if (cg.is_tautological())
- return;
- if (cg.is_inconsistent()) {
- set_empty();
- return;
- }
- // Non-trivial and proper congruences are not allowed.
- throw_invalid_argument("add_congruence(cg)",
- "cg is a non-trivial, proper congruence");
- }
-
- PPL_ASSERT(cg.is_equality());
- Constraint c(cg);
- add_constraint(c);
-}
-
-template <typename T>
-void
-BD_Shape<T>::refine_no_check(const Constraint& c) {
- PPL_ASSERT(!marked_empty());
- PPL_ASSERT(c.space_dimension() <= space_dimension());
-
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- // Constraints that are not bounded differences are ignored.
- if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff))
- return;
-
- const Coefficient& inhomo = c.inhomogeneous_term();
- if (num_vars == 0) {
- // Dealing with a trivial constraint (might be a strict inequality).
- if (inhomo < 0
- || (c.is_equality() && inhomo != 0)
- || (c.is_strict_inequality() && inhomo == 0))
- set_empty();
- return;
- }
-
- // Select the cell to be modified for the "<=" part of the constraint,
- // and set `coeff' to the absolute value of itself.
- const bool negative = (coeff < 0);
- N& x = negative ? dbm[i][j] : dbm[j][i];
- N& y = negative ? dbm[j][i] : dbm[i][j];
- if (negative)
- neg_assign(coeff);
-
- bool changed = false;
- // Compute the bound for `x', rounding towards plus infinity.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, inhomo, coeff);
- if (x > d) {
- x = d;
- changed = true;
- }
-
- if (c.is_equality()) {
- // Also compute the bound for `y', rounding towards plus infinity.
- PPL_DIRTY_TEMP_COEFFICIENT(minus_c_term);
- neg_assign(minus_c_term, inhomo);
- div_round_up(d, minus_c_term, coeff);
- if (y > d) {
- y = d;
- changed = true;
- }
- }
-
- // In general, adding a constraint does not preserve the shortest-path
- // closure or reduction of the bounded difference shape.
- if (changed && marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::concatenate_assign(const BD_Shape& y) {
- BD_Shape& x = *this;
-
- const dimension_type x_space_dim = x.space_dimension();
- const dimension_type y_space_dim = y.space_dimension();
-
- // If `y' is an empty 0-dim space bounded difference shape,
- // let `*this' become empty.
- if (y_space_dim == 0 && y.marked_empty()) {
- set_empty();
- return;
- }
-
- // If `x' is an empty 0-dim space BDS, then it is sufficient to adjust
- // the dimension of the vector space.
- if (x_space_dim == 0 && marked_empty()) {
- dbm.grow(y_space_dim + 1);
- PPL_ASSERT(OK());
- return;
- }
- // First we increase the space dimension of `x' by adding
- // `y.space_dimension()' new dimensions.
- // The matrix for the new system of constraints is obtained
- // by leaving the old system of constraints in the upper left-hand side
- // and placing the constraints of `y' in the lower right-hand side,
- // except the constraints as `y(i) >= cost' or `y(i) <= cost', that are
- // placed in the right position on the new matrix.
- add_space_dimensions_and_embed(y_space_dim);
- const dimension_type new_space_dim = x_space_dim + y_space_dim;
- for (dimension_type i = x_space_dim + 1; i <= new_space_dim; ++i) {
- DB_Row<N>& dbm_i = dbm[i];
- dbm_i[0] = y.dbm[i - x_space_dim][0];
- dbm[0][i] = y.dbm[0][i - x_space_dim];
- for (dimension_type j = x_space_dim + 1; j <= new_space_dim; ++j)
- dbm_i[j] = y.dbm[i - x_space_dim][j - x_space_dim];
- }
-
- if (marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-bool
-BD_Shape<T>::contains(const BD_Shape& y) const {
- const BD_Shape<T>& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
-
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- throw_dimension_incompatible("contains(y)", y);
-
- if (x_space_dim == 0) {
- // The zero-dimensional empty shape only contains another
- // zero-dimensional empty shape.
- // The zero-dimensional universe shape contains any other
- // zero-dimensional shape.
- return marked_empty() ? y.marked_empty() : true;
- }
-
- /*
- The `y' bounded difference shape must be closed. As an example,
- consider the case where in `*this' we have the constraints
-
- x1 - x2 <= 1,
- x1 <= 3,
- x2 <= 2,
-
- and in `y' the constraints are
-
- x1 - x2 <= 0,
- x2 <= 1.
-
- Without closure the (erroneous) analysis of the inhomogeneous terms
- would conclude containment does not hold. Closing `y' results into
- the "discovery" of the implicit constraint
-
- x1 <= 1,
-
- at which point the inhomogeneous terms can be examined to determine
- that containment does hold.
- */
- y.shortest_path_closure_assign();
- // An empty shape is contained in any other dimension-compatible shapes.
- if (y.marked_empty())
- return true;
-
- // If `x' is empty it can not contain `y' (which is not empty).
- if (x.is_empty())
- return false;
-
- // `*this' contains `y' if and only if every cell of `dbm'
- // is greater than or equal to the correspondent one of `y.dbm'.
- for (dimension_type i = x_space_dim + 1; i-- > 0; ) {
- const DB_Row<N>& x_dbm_i = x.dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (dimension_type j = x_space_dim + 1; j-- > 0; )
- if (x_dbm_i[j] < y_dbm_i[j])
- return false;
- }
- return true;
-}
-
-template <typename T>
-bool
-BD_Shape<T>::is_disjoint_from(const BD_Shape& y) const {
- const dimension_type space_dim = space_dimension();
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("is_disjoint_from(y)", y);
-
- // If one of the two bounded difference shape is empty,
- // then the two bounded difference shape are disjoint.
- shortest_path_closure_assign();
- if (marked_empty())
- return true;
- y.shortest_path_closure_assign();
- if (y.marked_empty())
- return true;
-
- // Two BDSs are disjoint when their intersection is empty.
- // That is if and only if there exists at least a bounded difference
- // such that the upper bound of the bounded difference in the first
- // BD_Shape is strictly less than the lower bound of
- // the corresponding bounded difference in the second BD_Shape
- // or vice versa.
- // For example: let be
- // in `*this': -a_j_i <= v_j - v_i <= a_i_j;
- // and in `y': -b_j_i <= v_j - v_i <= b_i_j;
- // `*this' and `y' are disjoint if
- // 1.) a_i_j < -b_j_i or
- // 2.) b_i_j < -a_j_i.
- PPL_DIRTY_TEMP(N, tmp);
- for (dimension_type i = space_dim+1; i-- > 0; ) {
- const DB_Row<N>& x_i = dbm[i];
- for (dimension_type j = space_dim+1; j-- > 0; ) {
- neg_assign_r(tmp, y.dbm[j][i], ROUND_UP);
- if (x_i[j] < tmp)
- return true;
- }
- }
-
- return false;
-}
-
-template <typename T>
-bool
-BD_Shape<T>::is_universe() const {
- if (marked_empty())
- return false;
-
- const dimension_type space_dim = space_dimension();
- // If the BDS is non-empty and zero-dimensional,
- // then it is necessarily the universe BDS.
- if (space_dim == 0)
- return true;
-
- // A bounded difference shape defining the universe BDS can only
- // contain trivial constraints.
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- const DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; )
- if (!is_plus_infinity(dbm_i[j]))
- return false;
- }
- return true;
-}
-
-template <typename T>
-bool
-BD_Shape<T>::is_bounded() const {
- shortest_path_closure_assign();
- const dimension_type space_dim = space_dimension();
- // A zero-dimensional or empty BDS is bounded.
- if (marked_empty() || space_dim == 0)
- return true;
-
- // A bounded difference shape defining the bounded BDS never can
- // contain trivial constraints.
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- const DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; )
- if (i != j)
- if (is_plus_infinity(dbm_i[j]))
- return false;
- }
-
- return true;
-}
-
-template <typename T>
-bool
-BD_Shape<T>::contains_integer_point() const {
- // Force shortest-path closure.
- if (is_empty())
- return false;
-
- const dimension_type space_dim = space_dimension();
- if (space_dim == 0)
- return true;
-
- // A non-empty BD_Shape defined by integer constraints
- // necessarily contains an integer point.
- if (std::numeric_limits<T>::is_integer)
- return true;
-
- // Build an integer BD_Shape z with bounds at least as tight as
- // those in *this and then recheck for emptiness.
- BD_Shape<mpz_class> bds_z(space_dim);
- typedef BD_Shape<mpz_class>::N Z;
- bds_z.reset_shortest_path_closed();
- PPL_DIRTY_TEMP(N, tmp);
- bool all_integers = true;
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<Z>& z_i = bds_z.dbm[i];
- const DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- const N& dbm_i_j = dbm_i[j];
- if (is_plus_infinity(dbm_i_j))
- continue;
- if (is_integer(dbm_i_j))
- assign_r(z_i[j], dbm_i_j, ROUND_NOT_NEEDED);
- else {
- all_integers = false;
- Z& z_i_j = z_i[j];
- // Copy dbm_i_j into z_i_j, but rounding downwards.
- neg_assign_r(tmp, dbm_i_j, ROUND_NOT_NEEDED);
- assign_r(z_i_j, tmp, ROUND_UP);
- neg_assign_r(z_i_j, z_i_j, ROUND_NOT_NEEDED);
- }
- }
- }
- return all_integers || !bds_z.is_empty();
-}
-
-template <typename T>
-bool
-BD_Shape<T>::frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const {
- dimension_type space_dim = space_dimension();
- // The dimension of `expr' must be at most the dimension of *this.
- if (space_dim < expr.space_dimension())
- throw_dimension_incompatible("frequency(e, ...)", "e", expr);
-
- // Check if `expr' has a constant value.
- // If it is constant, set the frequency `freq_n' to 0
- // and return true. Otherwise the values for \p expr
- // are not discrete so return false.
-
- // Space dimension is 0: if empty, then return false;
- // otherwise the frequency is 0 and the value is the inhomogeneous term.
- if (space_dim == 0) {
- if (is_empty())
- return false;
- freq_n = 0;
- freq_d = 1;
- val_n = expr.inhomogeneous_term();
- val_d = 1;
- return true;
- }
-
- shortest_path_closure_assign();
- // For an empty BD shape, we simply return false.
- if (marked_empty())
- return false;
-
- // The BD shape has at least 1 dimension and is not empty.
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- PPL_DIRTY_TEMP(N, tmp);
- Linear_Expression le = expr;
- // Boolean to keep track of a variable `v' in expression `le'.
- // If we can replace `v' by an expression using variables other
- // than `v' and are already in `le', then this is set to true.
-
- PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
- val_denom = 1;
-
- // TODO: This loop can be optimized more, if needed, exploiting the
- // (possible) sparseness of le.
- for (dimension_type i = dbm.num_rows(); i-- > 1; ) {
- const Variable v(i-1);
- coeff = le.coefficient(v);
- if (coeff == 0)
- continue;
-
- const DB_Row<N>& dbm_i = dbm[i];
- // Check if `v' is constant in the BD shape.
- assign_r(tmp, dbm_i[0], ROUND_NOT_NEEDED);
- if (is_additive_inverse(dbm[0][i], tmp)) {
- // If `v' is constant, replace it in `le' by the value.
- numer_denom(tmp, numer, denom);
- sub_mul_assign(le, coeff, v);
- le *= denom;
- le -= numer*coeff;
- val_denom *= denom;
- continue;
- }
- // Check the bounded differences with the other dimensions that
- // have non-zero coefficient in `le'.
- else {
- bool constant_v = false;
- for (Linear_Expression::const_iterator j = le.begin(),
- j_end = le.lower_bound(Variable(i - 1)); j != j_end; ++j) {
- const Variable vj = j.variable();
- const dimension_type j_dim = vj.space_dimension();
- assign_r(tmp, dbm_i[j_dim], ROUND_NOT_NEEDED);
- if (is_additive_inverse(dbm[j_dim][i], tmp)) {
- // The coefficient for `vj' in `le' is not 0
- // and the difference with `v' in the BD shape is constant.
- // So apply this equality to eliminate `v' in `le'.
- numer_denom(tmp, numer, denom);
- // Modifying le invalidates the iterators, but it's not a problem
- // since we are going to exit the loop.
- sub_mul_assign(le, coeff, v);
- add_mul_assign(le, coeff, vj);
- le *= denom;
- le -= numer*coeff;
- val_denom *= denom;
- constant_v = true;
- break;
- }
- }
- if (!constant_v)
- // The expression `expr' is not constant.
- return false;
- }
- }
-
- // The expression `expr' is constant.
- freq_n = 0;
- freq_d = 1;
-
- // Reduce `val_n' and `val_d'.
- normalize2(le.inhomogeneous_term(), val_denom, val_n, val_d);
- return true;
-}
-
-template <typename T>
-bool
-BD_Shape<T>::constrains(const Variable var) const {
- // `var' should be one of the dimensions of the BD shape.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dimension() < var_space_dim)
- throw_dimension_incompatible("constrains(v)", "v", var);
-
- shortest_path_closure_assign();
- // A BD shape known to be empty constrains all variables.
- // (Note: do not force emptiness check _yet_)
- if (marked_empty())
- return true;
-
- // Check whether `var' is syntactically constrained.
- const DB_Row<N>& dbm_v = dbm[var_space_dim];
- for (dimension_type i = dbm.num_rows(); i-- > 0; ) {
- if (!is_plus_infinity(dbm_v[i])
- || !is_plus_infinity(dbm[i][var_space_dim]))
- return true;
- }
-
- // `var' is not syntactically constrained:
- // now force an emptiness check.
- return is_empty();
-}
-
-template <typename T>
-void
-BD_Shape<T>
-::compute_predecessors(std::vector<dimension_type>& predecessor) const {
- PPL_ASSERT(!marked_empty() && marked_shortest_path_closed());
- PPL_ASSERT(predecessor.size() == 0);
- // Variables are ordered according to their index.
- // The vector `predecessor' is used to indicate which variable
- // immediately precedes a given one in the corresponding equivalence class.
- // The `leader' of an equivalence class is the element having minimum
- // index: leaders are their own predecessors.
- const dimension_type predecessor_size = dbm.num_rows();
- // Initially, each variable is leader of its own zero-equivalence class.
- predecessor.reserve(predecessor_size);
- for (dimension_type i = 0; i < predecessor_size; ++i)
- predecessor.push_back(i);
- // Now compute actual predecessors.
- for (dimension_type i = predecessor_size; i-- > 1; )
- if (i == predecessor[i]) {
- const DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = i; j-- > 0; )
- if (j == predecessor[j]
- && is_additive_inverse(dbm[j][i], dbm_i[j])) {
- // Choose as predecessor the variable having the smaller index.
- predecessor[i] = j;
- break;
- }
- }
-}
-
-template <typename T>
-void
-BD_Shape<T>::compute_leaders(std::vector<dimension_type>& leaders) const {
- PPL_ASSERT(!marked_empty() && marked_shortest_path_closed());
- PPL_ASSERT(leaders.size() == 0);
- // Compute predecessor information.
- compute_predecessors(leaders);
- // Flatten the predecessor chains so as to obtain leaders.
- PPL_ASSERT(leaders[0] == 0);
- for (dimension_type i = 1, l_size = leaders.size(); i != l_size; ++i) {
- const dimension_type leaders_i = leaders[i];
- PPL_ASSERT(leaders_i <= i);
- if (leaders_i != i) {
- const dimension_type leaders_leaders_i = leaders[leaders_i];
- PPL_ASSERT(leaders_leaders_i == leaders[leaders_leaders_i]);
- leaders[i] = leaders_leaders_i;
- }
- }
-}
-
-template <typename T>
-bool
-BD_Shape<T>::is_shortest_path_reduced() const {
- // If the BDS is empty, it is also reduced.
- if (marked_empty())
- return true;
-
- const dimension_type space_dim = space_dimension();
- // Zero-dimensional BDSs are necessarily reduced.
- if (space_dim == 0)
- return true;
-
- // A shortest-path reduced dbm is just a dbm with an indication of
- // those constraints that are redundant. If there is no indication
- // of the redundant constraints, then it cannot be reduced.
- if (!marked_shortest_path_reduced())
- return false;
-
- const BD_Shape x_copy = *this;
- x_copy.shortest_path_closure_assign();
- // If we just discovered emptiness, it cannot be reduced.
- if (x_copy.marked_empty())
- return false;
-
- // The vector `leader' is used to indicate which variables are equivalent.
- std::vector<dimension_type> leader(space_dim + 1);
-
- // We store the leader.
- for (dimension_type i = space_dim + 1; i-- > 0; )
- leader[i] = i;
-
- // Step 1: we store really the leader with the corrected value.
- // We search for the equivalent or zero-equivalent variables.
- // The variable(i-1) and variable(j-1) are equivalent if and only if
- // m_i_j == -(m_j_i).
- for (dimension_type i = 0; i < space_dim; ++i) {
- const DB_Row<N>& x_copy_dbm_i = x_copy.dbm[i];
- for (dimension_type j = i + 1; j <= space_dim; ++j)
- if (is_additive_inverse(x_copy.dbm[j][i], x_copy_dbm_i[j]))
- // Two equivalent variables have got the same leader
- // (the smaller variable).
- leader[j] = leader[i];
- }
-
- // Step 2: we check if there are redundant constraints in the zero_cycle
- // free bounded difference shape, considering only the leaders.
- // A constraint `c' is redundant, when there are two constraints such that
- // their sum is the same constraint with the inhomogeneous term
- // less than or equal to the `c' one.
- PPL_DIRTY_TEMP(N, c);
- for (dimension_type k = 0; k <= space_dim; ++k)
- if (leader[k] == k) {
- const DB_Row<N>& x_k = x_copy.dbm[k];
- for (dimension_type i = 0; i <= space_dim; ++i)
- if (leader[i] == i) {
- const DB_Row<N>& x_i = x_copy.dbm[i];
- const Bit_Row& redundancy_i = redundancy_dbm[i];
- const N& x_i_k = x_i[k];
- for (dimension_type j = 0; j <= space_dim; ++j)
- if (leader[j] == j) {
- const N& x_i_j = x_i[j];
- if (!is_plus_infinity(x_i_j)) {
- add_assign_r(c, x_i_k, x_k[j], ROUND_UP);
- if (x_i_j >= c && !redundancy_i[j])
- return false;
- }
- }
- }
- }
-
- // The vector `var_conn' is used to check if there is a single cycle
- // that connected all zero-equivalent variables between them.
- // The value `space_dim + 1' is used to indicate that the equivalence
- // class contains a single variable.
- std::vector<dimension_type> var_conn(space_dim + 1);
- for (dimension_type i = space_dim + 1; i-- > 0; )
- var_conn[i] = space_dim + 1;
-
- // Step 3: we store really the `var_conn' with the right value, putting
- // the variable with the selected variable is connected:
- // we check the row of each variable:
- // a- each leader could be connected with only zero-equivalent one,
- // b- each non-leader with only another zero-equivalent one.
- for (dimension_type i = 0; i <= space_dim; ++i) {
- // It count with how many variables the selected variable is
- // connected.
- dimension_type t = 0;
- dimension_type leader_i = leader[i];
- // Case a: leader.
- if (leader_i == i) {
- for (dimension_type j = 0; j <= space_dim; ++j) {
- dimension_type leader_j = leader[j];
- // Only the connectedness with equivalent variables
- // is considered.
- if (j != leader_j)
- if (!redundancy_dbm[i][j]) {
- if (t == 1)
- // Two non-leaders cannot be connected with the same leader.
- return false;
- else
- if (leader_j != i)
- // The variables are not in the same equivalence class.
- return false;
- else {
- ++t;
- var_conn[i] = j;
- }
- }
- }
- }
- // Case b: non-leader.
- else {
- for (dimension_type j = 0; j <= space_dim; ++j) {
- if (!redundancy_dbm[i][j]) {
- dimension_type leader_j = leader[j];
- if (leader_i != leader_j)
- // The variables are not in the same equivalence class.
- return false;
- else {
- if (t == 1)
- // The variables cannot be connected with the same leader.
- return false;
- else {
- ++t;
- var_conn[i] = j;
- }
- }
- // A non-leader must be connected with
- // another variable.
- if (t == 0)
- return false;
- }
- }
- }
- }
-
- // The vector `just_checked' is used to check if
- // a variable is already checked.
- std::vector<bool> just_checked(space_dim + 1);
- for (dimension_type i = space_dim + 1; i-- > 0; )
- just_checked[i] = false;
-
- // Step 4: we check if there are single cycles that
- // connected all the zero-equivalent variables between them.
- for (dimension_type i = 0; i <= space_dim; ++i) {
- // We do not re-check the already considered single cycles.
- if (!just_checked[i]) {
- dimension_type v_con = var_conn[i];
- // We consider only the equivalence classes with
- // 2 or plus variables.
- if (v_con != space_dim + 1) {
- // There is a single cycle if taken a variable,
- // we return to this same variable.
- while (v_con != i) {
- just_checked[v_con] = true;
- v_con = var_conn[v_con];
- // If we re-pass to an already considered variable,
- // then we haven't a single cycle.
- if (just_checked[v_con])
- return false;
- }
- }
- }
- just_checked[i] = true;
- }
-
- // The system bounded differences is just reduced.
- return true;
-}
-
-template <typename T>
-bool
-BD_Shape<T>::bounds(const Linear_Expression& expr,
- const bool from_above) const {
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- const dimension_type space_dim = space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((from_above
- ? "bounds_from_above(e)"
- : "bounds_from_below(e)"), "e", expr);
-
- shortest_path_closure_assign();
- // A zero-dimensional or empty BDS bounds everything.
- if (space_dim == 0 || marked_empty())
- return true;
-
- // The constraint `c' is used to check if `expr' is a difference
- // bounded and, in this case, to select the cell.
- const Constraint& c = from_above ? expr <= 0 : expr >= 0;
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- // Check if `c' is a BD constraint.
- if (BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
- if (num_vars == 0)
- // Dealing with a trivial constraint.
- return true;
- // Select the cell to be checked.
- const N& x = (coeff < 0) ? dbm[i][j] : dbm[j][i];
- return !is_plus_infinity(x);
- }
- else {
- // Not a DB constraint: use the MIP solver.
- Optimization_Mode mode_bounds
- = from_above ? MAXIMIZATION : MINIMIZATION;
- MIP_Problem mip(space_dim, constraints(), expr, mode_bounds);
- // Problem is known to be feasible.
- return mip.solve() == OPTIMIZED_MIP_PROBLEM;
- }
-}
-
-template <typename T>
-bool
-BD_Shape<T>::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included) const {
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
- // Deal with zero-dim BDS first.
- if (space_dim == 0) {
- if (marked_empty())
- return false;
- else {
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- return true;
- }
- }
-
- shortest_path_closure_assign();
- // For an empty BDS we simply return false.
- if (marked_empty())
- return false;
-
- // The constraint `c' is used to check if `expr' is a difference
- // bounded and, in this case, to select the cell.
- const Constraint& c = maximize ? expr <= 0 : expr >= 0;
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- // Check if `c' is a BD constraint.
- if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
- Optimization_Mode mode_max_min
- = maximize ? MAXIMIZATION : MINIMIZATION;
- MIP_Problem mip(space_dim, constraints(), expr, mode_max_min);
- if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
- mip.optimal_value(ext_n, ext_d);
- included = true;
- return true;
- }
- else
- // Here`expr' is unbounded in `*this'.
- return false;
- }
- else {
- // Here `expr' is a bounded difference.
- if (num_vars == 0) {
- // Dealing with a trivial expression.
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- return true;
- }
-
- // Select the cell to be checked.
- const N& x = (coeff < 0) ? dbm[i][j] : dbm[j][i];
- if (!is_plus_infinity(x)) {
- // Compute the maximize/minimize of `expr'.
- PPL_DIRTY_TEMP(N, d);
- const Coefficient& b = expr.inhomogeneous_term();
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = maximize ? b : minus_b;
- assign_r(d, sc_b, ROUND_UP);
- // Set `coeff_expr' to the absolute value of coefficient of
- // a variable in `expr'.
- PPL_DIRTY_TEMP(N, coeff_expr);
- PPL_ASSERT(i != 0);
- const Coefficient& coeff_i = expr.get(Variable(i - 1));
- const int sign_i = sgn(coeff_i);
- if (sign_i > 0)
- assign_r(coeff_expr, coeff_i, ROUND_UP);
- else {
- PPL_DIRTY_TEMP_COEFFICIENT(minus_coeff_i);
- neg_assign(minus_coeff_i, coeff_i);
- assign_r(coeff_expr, minus_coeff_i, ROUND_UP);
- }
- // Approximating the maximum/minimum of `expr'.
- add_mul_assign_r(d, coeff_expr, x, ROUND_UP);
- numer_denom(d, ext_n, ext_d);
- if (!maximize)
- neg_assign(ext_n);
- included = true;
- return true;
- }
-
- // `expr' is unbounded.
- return false;
- }
-}
-
-template <typename T>
-bool
-BD_Shape<T>::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included,
- Generator& g) const {
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
- // Deal with zero-dim BDS first.
- if (space_dim == 0) {
- if (marked_empty())
- return false;
- else {
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- g = point();
- return true;
- }
- }
-
- shortest_path_closure_assign();
- // For an empty BDS we simply return false.
- if (marked_empty())
- return false;
-
- Optimization_Mode mode_max_min
- = maximize ? MAXIMIZATION : MINIMIZATION;
- MIP_Problem mip(space_dim, constraints(), expr, mode_max_min);
- if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = mip.optimizing_point();
- mip.evaluate_objective_function(g, ext_n, ext_d);
- included = true;
- return true;
- }
- // Here `expr' is unbounded in `*this'.
- return false;
-}
-
-template <typename T>
-Poly_Con_Relation
-BD_Shape<T>::relation_with(const Congruence& cg) const {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (cg.space_dimension() > space_dim)
- throw_dimension_incompatible("relation_with(cg)", cg);
-
- // If the congruence is an equality, find the relation with
- // the equivalent equality constraint.
- if (cg.is_equality()) {
- Constraint c(cg);
- return relation_with(c);
- }
-
- shortest_path_closure_assign();
-
- if (marked_empty())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint();
-
- if (space_dim == 0) {
- if (cg.is_inconsistent())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- }
-
- // Find the lower bound for a hyperplane with direction
- // defined by the congruence.
- Linear_Expression le = Linear_Expression(cg);
- PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
- PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
- bool min_included;
- bool bounded_below = minimize(le, min_numer, min_denom, min_included);
-
- // If there is no lower bound, then some of the hyperplanes defined by
- // the congruence will strictly intersect the shape.
- if (!bounded_below)
- return Poly_Con_Relation::strictly_intersects();
-
- // TODO: Consider adding a max_and_min() method, performing both
- // maximization and minimization so as to possibly exploit
- // incrementality of the MIP solver.
-
- // Find the upper bound for a hyperplane with direction
- // defined by the congruence.
- PPL_DIRTY_TEMP_COEFFICIENT(max_numer);
- PPL_DIRTY_TEMP_COEFFICIENT(max_denom);
- bool max_included;
- bool bounded_above = maximize(le, max_numer, max_denom, max_included);
-
- // If there is no upper bound, then some of the hyperplanes defined by
- // the congruence will strictly intersect the shape.
- if (!bounded_above)
- return Poly_Con_Relation::strictly_intersects();
-
- PPL_DIRTY_TEMP_COEFFICIENT(signed_distance);
-
- // Find the position value for the hyperplane that satisfies the congruence
- // and is above the lower bound for the shape.
- PPL_DIRTY_TEMP_COEFFICIENT(min_value);
- min_value = min_numer / min_denom;
- const Coefficient& modulus = cg.modulus();
- signed_distance = min_value % modulus;
- min_value -= signed_distance;
- if (min_value * min_denom < min_numer)
- min_value += modulus;
-
- // Find the position value for the hyperplane that satisfies the congruence
- // and is below the upper bound for the shape.
- PPL_DIRTY_TEMP_COEFFICIENT(max_value);
- max_value = max_numer / max_denom;
- signed_distance = max_value % modulus;
- max_value += signed_distance;
- if (max_value * max_denom > max_numer)
- max_value -= modulus;
-
- // If the upper bound value is less than the lower bound value,
- // then there is an empty intersection with the congruence;
- // otherwise it will strictly intersect.
- if (max_value < min_value)
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
-}
-
-
-template <typename T>
-Poly_Con_Relation
-BD_Shape<T>::relation_with(const Constraint& c) const {
- const dimension_type c_space_dim = c.space_dimension();
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (c_space_dim > space_dim)
- throw_dimension_incompatible("relation_with(c)", c);
-
- shortest_path_closure_assign();
-
- if (marked_empty())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint();
-
- if (space_dim == 0) {
- if ((c.is_equality() && c.inhomogeneous_term() != 0)
- || (c.is_inequality() && c.inhomogeneous_term() < 0))
- return Poly_Con_Relation::is_disjoint();
- else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
- // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
- // thus, the zero-dimensional point also saturates it.
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else if (c.is_equality() || c.inhomogeneous_term() == 0)
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- else
- // The zero-dimensional point saturates
- // neither the positivity constraint 1 >= 0,
- // nor the strict positivity constraint 1 > 0.
- return Poly_Con_Relation::is_included();
- }
-
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
- // Constraints that are not bounded differences.
- // Use maximize() and minimize() to do much of the work.
-
- // Find the linear expression for the constraint and use that to
- // find if the expression is bounded from above or below and if it
- // is, find the maximum and minimum values.
- Linear_Expression le(c);
- le.set_inhomogeneous_term(Coefficient_zero());
-
- PPL_DIRTY_TEMP(Coefficient, max_numer);
- PPL_DIRTY_TEMP(Coefficient, max_denom);
- bool max_included;
- PPL_DIRTY_TEMP(Coefficient, min_numer);
- PPL_DIRTY_TEMP(Coefficient, min_denom);
- bool min_included;
- bool bounded_above = maximize(le, max_numer, max_denom, max_included);
- bool bounded_below = minimize(le, min_numer, min_denom, min_included);
- if (!bounded_above) {
- if (!bounded_below)
- return Poly_Con_Relation::strictly_intersects();
- min_numer += c.inhomogeneous_term() * min_denom;
- switch (sgn(min_numer)) {
- case 1:
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::is_included();
- case 0:
- if (c.is_strict_inequality() || c.is_equality())
- return Poly_Con_Relation::strictly_intersects();
- return Poly_Con_Relation::is_included();
- case -1:
- return Poly_Con_Relation::strictly_intersects();
- }
- }
- if (!bounded_below) {
- max_numer += c.inhomogeneous_term() * max_denom;
- switch (sgn(max_numer)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- else {
- max_numer += c.inhomogeneous_term() * max_denom;
- min_numer += c.inhomogeneous_term() * min_denom;
- switch (sgn(max_numer)) {
- case 1:
- switch (sgn(min_numer)) {
- case 1:
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::is_included();
- case 0:
- if (c.is_equality())
- return Poly_Con_Relation::strictly_intersects();
- if (c.is_strict_inequality())
- return Poly_Con_Relation::strictly_intersects();
- return Poly_Con_Relation::is_included();
- case -1:
- return Poly_Con_Relation::strictly_intersects();
- }
- PPL_UNREACHABLE;
- break;
- case 0:
- if (min_numer == 0) {
- if (c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates();
- return Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates();
- }
- if (c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- }
-
- // Constraints that are bounded differences.
- if (num_vars == 0) {
- // Dealing with a trivial constraint.
- switch (sgn(c.inhomogeneous_term())) {
- case -1:
- return Poly_Con_Relation::is_disjoint();
- case 0:
- if (c.is_strict_inequality())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- case 1:
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::is_included();
- }
- }
-
- // Select the cell to be checked for the "<=" part of the constraint,
- // and set `coeff' to the absolute value of itself.
- const bool negative = (coeff < 0);
- const N& x = negative ? dbm[i][j] : dbm[j][i];
- const N& y = negative ? dbm[j][i] : dbm[i][j];
- if (negative)
- neg_assign(coeff);
- // Deduce the relation/s of the constraint `c' of the form
- // `coeff*v - coeff*u </<=/== c.inhomogeneous_term()'
- // with the respectively constraints in `*this'
- // `-y <= v - u <= x'.
- // Let `d == c.inhomogeneous_term()/coeff'
- // and `d1 == -c.inhomogeneous_term()/coeff'.
- // The following variables of mpq_class type are used to be precise
- // when the bds is defined by integer constraints.
- PPL_DIRTY_TEMP(mpq_class, q_x);
- PPL_DIRTY_TEMP(mpq_class, q_y);
- PPL_DIRTY_TEMP(mpq_class, d);
- PPL_DIRTY_TEMP(mpq_class, d1);
- PPL_DIRTY_TEMP(mpq_class, c_denom);
- PPL_DIRTY_TEMP(mpq_class, q_denom);
- assign_r(c_denom, coeff, ROUND_NOT_NEEDED);
- assign_r(d, c.inhomogeneous_term(), ROUND_NOT_NEEDED);
- neg_assign_r(d1, d, ROUND_NOT_NEEDED);
- div_assign_r(d, d, c_denom, ROUND_NOT_NEEDED);
- div_assign_r(d1, d1, c_denom, ROUND_NOT_NEEDED);
-
- if (is_plus_infinity(x)) {
- if (!is_plus_infinity(y)) {
- // `*this' is in the following form:
- // `-y <= v - u'.
- // In this case `*this' is disjoint from `c' if
- // `-y > d' (`-y >= d' if c is a strict equality), i.e. if
- // `y < d1' (`y <= d1' if c is a strict equality).
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- numer_denom(y, numer, denom);
- assign_r(q_denom, denom, ROUND_NOT_NEEDED);
- assign_r(q_y, numer, ROUND_NOT_NEEDED);
- div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
- if (q_y < d1)
- return Poly_Con_Relation::is_disjoint();
- if (q_y == d1 && c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- }
-
- // In all other cases `*this' intersects `c'.
- return Poly_Con_Relation::strictly_intersects();
- }
-
- // Here `x' is not plus-infinity.
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- numer_denom(x, numer, denom);
- assign_r(q_denom, denom, ROUND_NOT_NEEDED);
- assign_r(q_x, numer, ROUND_NOT_NEEDED);
- div_assign_r(q_x, q_x, q_denom, ROUND_NOT_NEEDED);
-
- if (!is_plus_infinity(y)) {
- numer_denom(y, numer, denom);
- assign_r(q_denom, denom, ROUND_NOT_NEEDED);
- assign_r(q_y, numer, ROUND_NOT_NEEDED);
- div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
- if (q_x == d && q_y == d1) {
- if (c.is_strict_inequality())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- }
- // `*this' is disjoint from `c' when
- // `-y > d' (`-y >= d' if c is a strict equality), i.e. if
- // `y < d1' (`y <= d1' if c is a strict equality).
- if (q_y < d1)
- return Poly_Con_Relation::is_disjoint();
- if (q_y == d1 && c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- }
-
- // Here `y' can be also plus-infinity.
- // If `c' is an equality, `*this' is disjoint from `c' if
- // `x < d'.
- if (d > q_x) {
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::is_included();
- }
-
- if (d == q_x && c.is_nonstrict_inequality())
- return Poly_Con_Relation::is_included();
-
- // In all other cases `*this' intersects `c'.
- return Poly_Con_Relation::strictly_intersects();
-}
-
-template <typename T>
-Poly_Gen_Relation
-BD_Shape<T>::relation_with(const Generator& g) const {
- const dimension_type space_dim = space_dimension();
- const dimension_type g_space_dim = g.space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim < g_space_dim)
- throw_dimension_incompatible("relation_with(g)", g);
-
- shortest_path_closure_assign();
- // The empty BDS cannot subsume a generator.
- if (marked_empty())
- return Poly_Gen_Relation::nothing();
-
- // A universe BDS in a zero-dimensional space subsumes
- // all the generators of a zero-dimensional space.
- if (space_dim == 0)
- return Poly_Gen_Relation::subsumes();
-
- const bool is_line = g.is_line();
- const bool is_line_or_ray = g.is_line_or_ray();
-
- // The relation between the BDS and the given generator is obtained
- // checking if the generator satisfies all the constraints in the BDS.
- // To check if the generator satisfies all the constraints it's enough
- // studying the sign of the scalar product between the generator and
- // all the constraints in the BDS.
-
- // Allocation of temporaries done once and for all.
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- PPL_DIRTY_TEMP_COEFFICIENT(product);
- // We find in `*this' all the constraints.
- // TODO: This loop can be optimized more, if needed.
- for (dimension_type i = 0; i <= space_dim; ++i) {
- const Coefficient& g_coeff_y = (i > g_space_dim || i == 0)
- ? Coefficient_zero() : g.coefficient(Variable(i-1));
- const DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = i + 1; j <= space_dim; ++j) {
- const Coefficient& g_coeff_x = (j > g_space_dim)
- ? Coefficient_zero() : g.coefficient(Variable(j-1));
- const N& dbm_ij = dbm_i[j];
- const N& dbm_ji = dbm[j][i];
- if (is_additive_inverse(dbm_ji, dbm_ij)) {
- // We have one equality constraint: denom*x - denom*y = numer.
- // Compute the scalar product.
- numer_denom(dbm_ij, numer, denom);
- product = g_coeff_y;
- product -= g_coeff_x;
- product *= denom;
- if (!is_line_or_ray)
- add_mul_assign(product, numer, g.divisor());
- if (product != 0)
- return Poly_Gen_Relation::nothing();
- }
- else {
- // We have 0, 1 or 2 binary inequality constraint/s.
- if (!is_plus_infinity(dbm_ij)) {
- // We have the binary inequality constraint:
- // denom*x - denom*y <= numer.
- // Compute the scalar product.
- numer_denom(dbm_ij, numer, denom);
- product = g_coeff_y;
- product -= g_coeff_x;
- product *= denom;
- if (!is_line_or_ray)
- add_mul_assign(product, numer, g.divisor());
- if (is_line) {
- if (product != 0)
- // Lines must saturate all constraints.
- return Poly_Gen_Relation::nothing();
- }
- else
- // `g' is either a ray, a point or a closure point.
- if (product < 0)
- return Poly_Gen_Relation::nothing();
- }
-
- if (!is_plus_infinity(dbm_ji)) {
- // We have the binary inequality constraint: denom*y - denom*x <= b.
- // Compute the scalar product.
- numer_denom(dbm_ji, numer, denom);
- product = 0;
- add_mul_assign(product, denom, g_coeff_x);
- add_mul_assign(product, -denom, g_coeff_y);
- if (!is_line_or_ray)
- add_mul_assign(product, numer, g.divisor());
- if (is_line) {
- if (product != 0)
- // Lines must saturate all constraints.
- return Poly_Gen_Relation::nothing();
- }
- else
- // `g' is either a ray, a point or a closure point.
- if (product < 0)
- return Poly_Gen_Relation::nothing();
- }
- }
- }
- }
-
- // The generator satisfies all the constraints.
- return Poly_Gen_Relation::subsumes();
-}
-
-template <typename T>
-void
-BD_Shape<T>::shortest_path_closure_assign() const {
- // Do something only if necessary.
- if (marked_empty() || marked_shortest_path_closed())
- return;
- const dimension_type num_dimensions = space_dimension();
- // Zero-dimensional BDSs are necessarily shortest-path closed.
- if (num_dimensions == 0)
- return;
-
- // Even though the BDS will not change, its internal representation
- // is going to be modified by the Floyd-Warshall algorithm.
- BD_Shape& x = const_cast<BD_Shape<T>&>(*this);
-
- // Fill the main diagonal with zeros.
- for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
- PPL_ASSERT(is_plus_infinity(x.dbm[h][h]));
- assign_r(x.dbm[h][h], 0, ROUND_NOT_NEEDED);
- }
-
- PPL_DIRTY_TEMP(N, sum);
- for (dimension_type k = num_dimensions + 1; k-- > 0; ) {
- const DB_Row<N>& x_dbm_k = x.dbm[k];
- for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
- DB_Row<N>& x_dbm_i = x.dbm[i];
- const N& x_dbm_i_k = x_dbm_i[k];
- if (!is_plus_infinity(x_dbm_i_k))
- for (dimension_type j = num_dimensions + 1; j-- > 0; ) {
- const N& x_dbm_k_j = x_dbm_k[j];
- if (!is_plus_infinity(x_dbm_k_j)) {
- // Rounding upward for correctness.
- add_assign_r(sum, x_dbm_i_k, x_dbm_k_j, ROUND_UP);
- min_assign(x_dbm_i[j], sum);
- }
- }
- }
- }
-
- // Check for emptiness: the BDS is empty if and only if there is a
- // negative value on the main diagonal of `dbm'.
- for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
- N& x_dbm_hh = x.dbm[h][h];
- if (sgn(x_dbm_hh) < 0) {
- x.set_empty();
- return;
- }
- else {
- PPL_ASSERT(sgn(x_dbm_hh) == 0);
- // Restore PLUS_INFINITY on the main diagonal.
- assign_r(x_dbm_hh, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
-
- // The BDS is not empty and it is now shortest-path closed.
- x.set_shortest_path_closed();
-}
-
-template <typename T>
-void
-BD_Shape<T>::incremental_shortest_path_closure_assign(Variable var) const {
- // Do something only if necessary.
- if (marked_empty() || marked_shortest_path_closed())
- return;
- const dimension_type num_dimensions = space_dimension();
- PPL_ASSERT(var.id() < num_dimensions);
-
- // Even though the BDS will not change, its internal representation
- // is going to be modified by the incremental Floyd-Warshall algorithm.
- BD_Shape& x = const_cast<BD_Shape&>(*this);
-
- // Fill the main diagonal with zeros.
- for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
- PPL_ASSERT(is_plus_infinity(x.dbm[h][h]));
- assign_r(x.dbm[h][h], 0, ROUND_NOT_NEEDED);
- }
-
- // Using the incremental Floyd-Warshall algorithm.
- PPL_DIRTY_TEMP(N, sum);
- const dimension_type v = var.id() + 1;
- DB_Row<N>& x_v = x.dbm[v];
- // Step 1: Improve all constraints on variable `var'.
- for (dimension_type k = num_dimensions + 1; k-- > 0; ) {
- DB_Row<N>& x_k = x.dbm[k];
- const N& x_v_k = x_v[k];
- const N& x_k_v = x_k[v];
- const bool x_v_k_finite = !is_plus_infinity(x_v_k);
- const bool x_k_v_finite = !is_plus_infinity(x_k_v);
- // Specialize inner loop based on finiteness info.
- if (x_v_k_finite) {
- if (x_k_v_finite) {
- // Here both x_v_k and x_k_v are finite.
- for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
- DB_Row<N>& x_i = x.dbm[i];
- const N& x_i_k = x_i[k];
- if (!is_plus_infinity(x_i_k)) {
- add_assign_r(sum, x_i_k, x_k_v, ROUND_UP);
- min_assign(x_i[v], sum);
- }
- const N& x_k_i = x_k[i];
- if (!is_plus_infinity(x_k_i)) {
- add_assign_r(sum, x_v_k, x_k_i, ROUND_UP);
- min_assign(x_v[i], sum);
- }
- }
- }
- else {
- // Here x_v_k is finite, but x_k_v is not.
- for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
- const N& x_k_i = x_k[i];
- if (!is_plus_infinity(x_k_i)) {
- add_assign_r(sum, x_v_k, x_k_i, ROUND_UP);
- min_assign(x_v[i], sum);
- }
- }
- }
- }
- else if (x_k_v_finite) {
- // Here x_v_k is infinite, but x_k_v is finite.
- for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
- DB_Row<N>& x_i = x.dbm[i];
- const N& x_i_k = x_i[k];
- if (!is_plus_infinity(x_i_k)) {
- add_assign_r(sum, x_i_k, x_k_v, ROUND_UP);
- min_assign(x_i[v], sum);
- }
- }
- }
- else
- // Here both x_v_k and x_k_v are infinite.
- continue;
- }
-
- // Step 2: improve the other bounds by using the precise bounds
- // for the constraints on `var'.
- for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
- DB_Row<N>& x_i = x.dbm[i];
- const N& x_i_v = x_i[v];
- if (!is_plus_infinity(x_i_v)) {
- for (dimension_type j = num_dimensions + 1; j-- > 0; ) {
- const N& x_v_j = x_v[j];
- if (!is_plus_infinity(x_v_j)) {
- add_assign_r(sum, x_i_v, x_v_j, ROUND_UP);
- min_assign(x_i[j], sum);
- }
- }
- }
- }
-
- // Check for emptiness: the BDS is empty if and only if there is a
- // negative value on the main diagonal of `dbm'.
- for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
- N& x_dbm_hh = x.dbm[h][h];
- if (sgn(x_dbm_hh) < 0) {
- x.set_empty();
- return;
- }
- else {
- PPL_ASSERT(sgn(x_dbm_hh) == 0);
- // Restore PLUS_INFINITY on the main diagonal.
- assign_r(x_dbm_hh, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
-
- // The BDS is not empty and it is now shortest-path closed.
- x.set_shortest_path_closed();
-}
-
-template <typename T>
-void
-BD_Shape<T>::shortest_path_reduction_assign() const {
- // Do something only if necessary.
- if (marked_shortest_path_reduced())
- return;
-
- const dimension_type space_dim = space_dimension();
- // Zero-dimensional BDSs are necessarily reduced.
- if (space_dim == 0)
- return;
-
- // First find the tightest constraints for this BDS.
- shortest_path_closure_assign();
-
- // If `*this' is empty, then there is nothing to reduce.
- if (marked_empty())
- return;
-
- // Step 1: compute zero-equivalence classes.
- // Variables corresponding to indices `i' and `j' are zero-equivalent
- // if they lie on a zero-weight loop; since the matrix is shortest-path
- // closed, this happens if and only if dbm[i][j] == -dbm[j][i].
- std::vector<dimension_type> predecessor;
- compute_predecessors(predecessor);
- std::vector<dimension_type> leaders;
- compute_leader_indices(predecessor, leaders);
- const dimension_type num_leaders = leaders.size();
-
- Bit_Matrix redundancy(space_dim + 1, space_dim + 1);
- // Init all constraints to be redundant.
- // TODO: provide an appropriate method to set multiple bits.
- Bit_Row& red_0 = redundancy[0];
- for (dimension_type j = space_dim + 1; j-- > 0; )
- red_0.set(j);
- for (dimension_type i = space_dim + 1; i-- > 0; )
- redundancy[i] = red_0;
-
- // Step 2: flag non-redundant constraints in the (zero-cycle-free)
- // subsystem of bounded differences having only leaders as variables.
- PPL_DIRTY_TEMP(N, c);
- for (dimension_type l_i = 0; l_i < num_leaders; ++l_i) {
- const dimension_type i = leaders[l_i];
- const DB_Row<N>& dbm_i = dbm[i];
- Bit_Row& redundancy_i = redundancy[i];
- for (dimension_type l_j = 0; l_j < num_leaders; ++l_j) {
- const dimension_type j = leaders[l_j];
- if (redundancy_i[j]) {
- const N& dbm_i_j = dbm_i[j];
- redundancy_i.clear(j);
- for (dimension_type l_k = 0; l_k < num_leaders; ++l_k) {
- const dimension_type k = leaders[l_k];
- add_assign_r(c, dbm_i[k], dbm[k][j], ROUND_UP);
- if (dbm_i_j >= c) {
- redundancy_i.set(j);
- break;
- }
- }
- }
- }
- }
-
- // Step 3: flag non-redundant constraints in zero-equivalence classes.
- // Each equivalence class must have a single 0-cycle connecting
- // all the equivalent variables in increasing order.
- std::deque<bool> dealt_with(space_dim + 1, false);
- for (dimension_type i = space_dim + 1; i-- > 0; )
- // We only need to deal with non-singleton zero-equivalence classes
- // that haven't already been dealt with.
- if (i != predecessor[i] && !dealt_with[i]) {
- dimension_type j = i;
- while (true) {
- const dimension_type predecessor_j = predecessor[j];
- if (j == predecessor_j) {
- // We finally found the leader of `i'.
- PPL_ASSERT(redundancy[i][j]);
- redundancy[i].clear(j);
- // Here we dealt with `j' (i.e., `predecessor_j'), but it is useless
- // to update `dealt_with' because `j' is a leader.
- break;
- }
- // We haven't found the leader of `i' yet.
- PPL_ASSERT(redundancy[predecessor_j][j]);
- redundancy[predecessor_j].clear(j);
- dealt_with[predecessor_j] = true;
- j = predecessor_j;
- }
- }
-
- // Even though shortest-path reduction is not going to change the BDS,
- // it might change its internal representation.
- BD_Shape<T>& x = const_cast<BD_Shape<T>&>(*this);
- using std::swap;
- swap(x.redundancy_dbm, redundancy);
- x.set_shortest_path_reduced();
-
- PPL_ASSERT(is_shortest_path_reduced());
-}
-
-template <typename T>
-void
-BD_Shape<T>::upper_bound_assign(const BD_Shape& y) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("upper_bound_assign(y)", y);
-
- // The upper bound of a BD shape `bd' with an empty shape is `bd'.
- y.shortest_path_closure_assign();
- if (y.marked_empty())
- return;
- shortest_path_closure_assign();
- if (marked_empty()) {
- *this = y;
- return;
- }
-
- // The bds-hull consists in constructing `*this' with the maximum
- // elements selected from `*this' and `y'.
- PPL_ASSERT(space_dim == 0 || marked_shortest_path_closed());
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- N& dbm_ij = dbm_i[j];
- const N& y_dbm_ij = y_dbm_i[j];
- if (dbm_ij < y_dbm_ij)
- dbm_ij = y_dbm_ij;
- }
- }
- // Shortest-path closure is maintained (if it was holding).
- // TODO: see whether reduction can be (efficiently!) maintained too.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-bool
-BD_Shape<T>::BFT00_upper_bound_assign_if_exact(const BD_Shape& y) {
- // Declare a const reference to *this (to avoid accidental modifications).
- const BD_Shape& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
-
- // Private method: the caller must ensure the following.
- PPL_ASSERT(x_space_dim == y.space_dimension());
-
- // The zero-dim case is trivial.
- if (x_space_dim == 0) {
- upper_bound_assign(y);
- return true;
- }
- // If `x' or `y' is (known to be) empty, the upper bound is exact.
- if (x.marked_empty()) {
- *this = y;
- return true;
- }
- else if (y.is_empty())
- return true;
- else if (x.is_empty()) {
- *this = y;
- return true;
- }
-
- // Here both `x' and `y' are known to be non-empty.
- // Implementation based on Algorithm 4.1 (page 6) in [BemporadFT00TR],
- // tailored to the special case of BD shapes.
-
- Variable epsilon(x_space_dim);
- Linear_Expression zero_expr;
- zero_expr.set_space_dimension(x_space_dim + 1);
- Linear_Expression db_expr;
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
-
- // Step 1: compute the constraint system for the envelope env(x,y)
- // and put into x_cs_removed and y_cs_removed those non-redundant
- // constraints that are not in the constraint system for env(x,y).
- // While at it, also add the additional space dimension (epsilon).
- Constraint_System env_cs;
- Constraint_System x_cs_removed;
- Constraint_System y_cs_removed;
- x.shortest_path_reduction_assign();
- y.shortest_path_reduction_assign();
- for (dimension_type i = x_space_dim + 1; i-- > 0; ) {
- const Bit_Row& x_red_i = x.redundancy_dbm[i];
- const Bit_Row& y_red_i = y.redundancy_dbm[i];
- const DB_Row<N>& x_dbm_i = x.dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (dimension_type j = x_space_dim + 1; j-- > 0; ) {
- if (x_red_i[j] && y_red_i[j])
- continue;
- if (!x_red_i[j]) {
- const N& x_dbm_ij = x_dbm_i[j];
- PPL_ASSERT(!is_plus_infinity(x_dbm_ij));
- numer_denom(x_dbm_ij, numer, denom);
- // Build skeleton DB constraint (having the right space dimension).
- db_expr = zero_expr;
- if (i > 0)
- db_expr += Variable(i-1);
- if (j > 0)
- db_expr -= Variable(j-1);
- if (denom != 1)
- db_expr *= denom;
- db_expr += numer;
- if (x_dbm_ij >= y_dbm_i[j])
- env_cs.insert(db_expr >= 0);
- else {
- db_expr += epsilon;
- x_cs_removed.insert(db_expr == 0);
- }
- }
- if (!y_red_i[j]) {
- const N& y_dbm_ij = y_dbm_i[j];
- const N& x_dbm_ij = x_dbm_i[j];
- PPL_ASSERT(!is_plus_infinity(y_dbm_ij));
- numer_denom(y_dbm_ij, numer, denom);
- // Build skeleton DB constraint (having the right space dimension).
- db_expr = zero_expr;
- if (i > 0)
- db_expr += Variable(i-1);
- if (j > 0)
- db_expr -= Variable(j-1);
- if (denom != 1)
- db_expr *= denom;
- db_expr += numer;
- if (y_dbm_ij >= x_dbm_ij) {
- // Check if same constraint was added when considering x_dbm_ij.
- if (!x_red_i[j] && x_dbm_ij == y_dbm_ij)
- continue;
- env_cs.insert(db_expr >= 0);
- }
- else {
- db_expr += epsilon;
- y_cs_removed.insert(db_expr == 0);
- }
- }
- }
- }
-
- if (x_cs_removed.empty())
- // No constraint of x was removed: y is included in x.
- return true;
- if (y_cs_removed.empty()) {
- // No constraint of y was removed: x is included in y.
- *this = y;
- return true;
- }
-
- // In preparation to Step 4: build the common part of LP problems,
- // i.e., the constraints corresponding to env(x,y),
- // where the additional space dimension (epsilon) has to be maximized.
- MIP_Problem env_lp(x_space_dim + 1, env_cs, epsilon, MAXIMIZATION);
- // Pre-solve `env_lp' to later exploit incrementality.
- env_lp.solve();
- PPL_ASSERT(env_lp.solve() != UNFEASIBLE_MIP_PROBLEM);
-
- // Implementing loop in Steps 3-6.
- for (Constraint_System::const_iterator i = x_cs_removed.begin(),
- i_end = x_cs_removed.end(); i != i_end; ++i) {
- MIP_Problem lp_i(env_lp);
- lp_i.add_constraint(*i);
- // Pre-solve to exploit incrementality.
- if (lp_i.solve() == UNFEASIBLE_MIP_PROBLEM)
- continue;
- for (Constraint_System::const_iterator j = y_cs_removed.begin(),
- j_end = y_cs_removed.end(); j != j_end; ++j) {
- MIP_Problem lp_ij(lp_i);
- lp_ij.add_constraint(*j);
- // Solve and check for a positive optimal value.
- switch (lp_ij.solve()) {
- case UNFEASIBLE_MIP_PROBLEM:
- // CHECKME: is the following actually impossible?
- PPL_UNREACHABLE;
- return false;
- case UNBOUNDED_MIP_PROBLEM:
- return false;
- case OPTIMIZED_MIP_PROBLEM:
- lp_ij.optimal_value(numer, denom);
- if (numer > 0)
- return false;
- break;
- }
- }
- }
-
- // The upper bound of x and y is indeed exact.
- upper_bound_assign(y);
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename T>
-template <bool integer_upper_bound>
-bool
-BD_Shape<T>::BHZ09_upper_bound_assign_if_exact(const BD_Shape& y) {
- PPL_COMPILE_TIME_CHECK(!integer_upper_bound
- || std::numeric_limits<T>::is_integer,
- "BD_Shape<T>::BHZ09_upper_bound_assign_if_exact(y):"
- " instantiating for integer upper bound,"
- " but T in not an integer datatype.");
-
- // FIXME, CHECKME: what about inexact computations?
- // Declare a const reference to *this (to avoid accidental modifications).
- const BD_Shape& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
-
- // Private method: the caller must ensure the following.
- PPL_ASSERT(x_space_dim == y.space_dimension());
-
- // The zero-dim case is trivial.
- if (x_space_dim == 0) {
- upper_bound_assign(y);
- return true;
- }
- // If `x' or `y' is (known to be) empty, the upper bound is exact.
- if (x.marked_empty()) {
- *this = y;
- return true;
- }
- else if (y.is_empty())
- return true;
- else if (x.is_empty()) {
- *this = y;
- return true;
- }
-
- // Here both `x' and `y' are known to be non-empty.
- x.shortest_path_reduction_assign();
- y.shortest_path_reduction_assign();
- PPL_ASSERT(x.marked_shortest_path_closed());
- PPL_ASSERT(y.marked_shortest_path_closed());
- // Pre-compute the upper bound of `x' and `y'.
- BD_Shape<T> ub(x);
- ub.upper_bound_assign(y);
-
- PPL_DIRTY_TEMP(N, lhs);
- PPL_DIRTY_TEMP(N, rhs);
- PPL_DIRTY_TEMP(N, temp_zero);
- assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(N, temp_one);
- if (integer_upper_bound)
- assign_r(temp_one, 1, ROUND_NOT_NEEDED);
-
- for (dimension_type i = x_space_dim + 1; i-- > 0; ) {
- const DB_Row<N>& x_i = x.dbm[i];
- const Bit_Row& x_red_i = x.redundancy_dbm[i];
- const DB_Row<N>& y_i = y.dbm[i];
- const DB_Row<N>& ub_i = ub.dbm[i];
- for (dimension_type j = x_space_dim + 1; j-- > 0; ) {
- // Check redundancy of x_i_j.
- if (x_red_i[j])
- continue;
- // By non-redundancy, we know that i != j.
- PPL_ASSERT(i != j);
- const N& x_i_j = x_i[j];
- if (x_i_j < y_i[j]) {
- for (dimension_type k = x_space_dim + 1; k-- > 0; ) {
- const DB_Row<N>& x_k = x.dbm[k];
- const DB_Row<N>& y_k = y.dbm[k];
- const Bit_Row& y_red_k = y.redundancy_dbm[k];
- const DB_Row<N>& ub_k = ub.dbm[k];
- const N& ub_k_j = (k == j) ? temp_zero : ub_k[j];
- for (dimension_type ell = x_space_dim + 1; ell-- > 0; ) {
- // Check redundancy of y_k_ell.
- if (y_red_k[ell])
- continue;
- // By non-redundancy, we know that k != ell.
- PPL_ASSERT(k != ell);
- const N& y_k_ell = y_k[ell];
- if (y_k_ell < x_k[ell]) {
- // The first condition in BHZ09 theorem holds;
- // now check for the second condition.
- add_assign_r(lhs, x_i_j, y_k_ell, ROUND_UP);
- const N& ub_i_ell = (i == ell) ? temp_zero : ub_i[ell];
- add_assign_r(rhs, ub_i_ell, ub_k_j, ROUND_UP);
- if (integer_upper_bound) {
- // Note: adding 1 rather than 2 (as in Theorem 5.3)
- // so as to later test for < rather than <=.
- add_assign_r(lhs, lhs, temp_one, ROUND_NOT_NEEDED);
- }
- // Testing for < in both the rational and integer case.
- if (lhs < rhs)
- return false;
- }
- }
- }
- }
- }
- }
- // The upper bound of x and y is indeed exact.
- m_swap(ub);
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename T>
-void
-BD_Shape<T>::difference_assign(const BD_Shape& y) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("difference_assign(y)", y);
-
- BD_Shape new_bd_shape(space_dim, EMPTY);
-
- BD_Shape& x = *this;
-
- x.shortest_path_closure_assign();
- // The difference of an empty bounded difference shape
- // and of a bounded difference shape `p' is empty.
- if (x.marked_empty())
- return;
- y.shortest_path_closure_assign();
- // The difference of a bounded difference shape `p'
- // and an empty bounded difference shape is `p'.
- if (y.marked_empty())
- return;
-
- // If both bounded difference shapes are zero-dimensional,
- // then at this point they are necessarily universe system of
- // bounded differences, so that their difference is empty.
- if (space_dim == 0) {
- x.set_empty();
- return;
- }
-
- // TODO: This is just an executable specification.
- // Have to find a more efficient method.
- if (y.contains(x)) {
- x.set_empty();
- return;
- }
-
- // We take a constraint of the system y at the time and we
- // consider its complementary. Then we intersect the union
- // of these complementary constraints with the system x.
- const Constraint_System& y_cs = y.constraints();
- for (Constraint_System::const_iterator i = y_cs.begin(),
- y_cs_end = y_cs.end(); i != y_cs_end; ++i) {
- const Constraint& c = *i;
- // If the bounded difference shape `x' is included
- // in the bounded difference shape defined by `c',
- // then `c' _must_ be skipped, as adding its complement to `x'
- // would result in the empty bounded difference shape,
- // and as we would obtain a result that is less precise
- // than the bds-difference.
- if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
- continue;
- BD_Shape z = x;
- const Linear_Expression e = Linear_Expression(c);
- z.add_constraint(e <= 0);
- if (!z.is_empty())
- new_bd_shape.upper_bound_assign(z);
- if (c.is_equality()) {
- z = x;
- z.add_constraint(e >= 0);
- if (!z.is_empty())
- new_bd_shape.upper_bound_assign(z);
- }
- }
- *this = new_bd_shape;
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-bool
-BD_Shape<T>::simplify_using_context_assign(const BD_Shape& y) {
- BD_Shape& x = *this;
- const dimension_type dim = x.space_dimension();
- // Dimension-compatibility check.
- if (dim != y.space_dimension())
- throw_dimension_incompatible("simplify_using_context_assign(y)", y);
-
- // Filter away the zero-dimensional case.
- if (dim == 0) {
- if (y.marked_empty()) {
- x.set_zero_dim_univ();
- return false;
- }
- else
- return !x.marked_empty();
- }
-
- // Filter away the case where `x' contains `y'
- // (this subsumes the case when `y' is empty).
- y.shortest_path_closure_assign();
- if (x.contains(y)) {
- BD_Shape<T> res(dim, UNIVERSE);
- x.m_swap(res);
- return false;
- }
-
- // Filter away the case where `x' is empty.
- x.shortest_path_closure_assign();
- if (x.marked_empty()) {
- // Search for a constraint of `y' that is not a tautology.
- dimension_type i;
- dimension_type j;
- // Prefer unary constraints.
- i = 0;
- const DB_Row<N>& y_dbm_0 = y.dbm[0];
- for (j = 1; j <= dim; ++j) {
- if (!is_plus_infinity(y_dbm_0[j]))
- // FIXME: if N is a float or bounded integer type, then
- // we also need to check that we are actually able to construct
- // a constraint inconsistent with respect to this one.
- goto found;
- }
- j = 0;
- for (i = 1; i <= dim; ++i) {
- if (!is_plus_infinity(y.dbm[i][0]))
- // FIXME: if N is a float or bounded integer type, then
- // we also need to check that we are actually able to construct
- // a constraint inconsistent with respect to this one.
- goto found;
- }
- // Then search binary constraints.
- for (i = 1; i <= dim; ++i) {
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (j = 1; j <= dim; ++j)
- if (!is_plus_infinity(y_dbm_i[j]))
- // FIXME: if N is a float or bounded integer type, then
- // we also need to check that we are actually able to construct
- // a constraint inconsistent with respect to this one.
- goto found;
- }
- // Not found: we were not able to build a constraint contradicting
- // one of the constraints in `y': `x' cannot be enlarged.
- return false;
-
- found:
- // Found: build a new BDS contradicting the constraint found.
- PPL_ASSERT(i <= dim && j <= dim && (i > 0 || j > 0));
- BD_Shape<T> res(dim, UNIVERSE);
- PPL_DIRTY_TEMP(N, tmp);
- assign_r(tmp, 1, ROUND_UP);
- add_assign_r(tmp, tmp, y.dbm[i][j], ROUND_UP);
- PPL_ASSERT(!is_plus_infinity(tmp));
- // CHECKME: round down is really meant.
- neg_assign_r(res.dbm[j][i], tmp, ROUND_DOWN);
- x.m_swap(res);
- return false;
- }
-
- // Here `x' and `y' are not empty and shortest-path closed;
- // also, `x' does not contain `y'.
- // Let `target' be the intersection of `x' and `y'.
- BD_Shape<T> target = x;
- target.intersection_assign(y);
- const bool bool_result = !target.is_empty();
-
- // Compute a reduced dbm for `x' and ...
- x.shortest_path_reduction_assign();
- // ... count the non-redundant constraints.
- dimension_type x_num_non_redundant = (dim+1)*(dim+1);
- for (dimension_type i = dim + 1; i-- > 0; )
- x_num_non_redundant -= x.redundancy_dbm[i].count_ones();
- PPL_ASSERT(x_num_non_redundant > 0);
-
- // Let `yy' be a copy of `y': we will keep adding to `yy'
- // the non-redundant constraints of `x',
- // stopping as soon as `yy' becomes equal to `target'.
- BD_Shape<T> yy = y;
-
- // The constraints added to `yy' will be recorded in `res' ...
- BD_Shape<T> res(dim, UNIVERSE);
- // ... and we will count them too.
- dimension_type res_num_non_redundant = 0;
-
- // Compute leader information for `x'.
- std::vector<dimension_type> x_leaders;
- x.compute_leaders(x_leaders);
-
- // First go through the unary equality constraints.
- const DB_Row<N>& x_dbm_0 = x.dbm[0];
- DB_Row<N>& yy_dbm_0 = yy.dbm[0];
- DB_Row<N>& res_dbm_0 = res.dbm[0];
- for (dimension_type j = 1; j <= dim; ++j) {
- // Unary equality constraints are encoded in entries dbm_0j and dbm_j0
- // provided index j has special variable index 0 as its leader.
- if (x_leaders[j] != 0)
- continue;
- PPL_ASSERT(!is_plus_infinity(x_dbm_0[j]));
- if (x_dbm_0[j] < yy_dbm_0[j]) {
- res_dbm_0[j] = x_dbm_0[j];
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_dbm_0[j] = x_dbm_0[j];
- yy.reset_shortest_path_closed();
- }
- PPL_ASSERT(!is_plus_infinity(x.dbm[j][0]));
- if (x.dbm[j][0] < yy.dbm[j][0]) {
- res.dbm[j][0] = x.dbm[j][0];
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy.dbm[j][0] = x.dbm[j][0];
- yy.reset_shortest_path_closed();
- }
- // Restore shortest-path closure, if it was lost.
- if (!yy.marked_shortest_path_closed()) {
- Variable var_j(j-1);
- yy.incremental_shortest_path_closure_assign(var_j);
- if (target.contains(yy)) {
- // Target reached: swap `x' and `res' if needed.
- if (res_num_non_redundant < x_num_non_redundant) {
- res.reset_shortest_path_closed();
- x.m_swap(res);
- }
- return bool_result;
- }
- }
- }
-
- // Go through the binary equality constraints.
- // Note: no need to consider the case i == 1.
- for (dimension_type i = 2; i <= dim; ++i) {
- const dimension_type j = x_leaders[i];
- if (j == i || j == 0)
- continue;
- PPL_ASSERT(!is_plus_infinity(x.dbm[i][j]));
- if (x.dbm[i][j] < yy.dbm[i][j]) {
- res.dbm[i][j] = x.dbm[i][j];
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy.dbm[i][j] = x.dbm[i][j];
- yy.reset_shortest_path_closed();
- }
- PPL_ASSERT(!is_plus_infinity(x.dbm[j][i]));
- if (x.dbm[j][i] < yy.dbm[j][i]) {
- res.dbm[j][i] = x.dbm[j][i];
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy.dbm[j][i] = x.dbm[j][i];
- yy.reset_shortest_path_closed();
- }
- // Restore shortest-path closure, if it was lost.
- if (!yy.marked_shortest_path_closed()) {
- Variable var_j(j-1);
- yy.incremental_shortest_path_closure_assign(var_j);
- if (target.contains(yy)) {
- // Target reached: swap `x' and `res' if needed.
- if (res_num_non_redundant < x_num_non_redundant) {
- res.reset_shortest_path_closed();
- x.m_swap(res);
- }
- return bool_result;
- }
- }
- }
-
- // Finally go through the (proper) inequality constraints:
- // both indices i and j should be leaders.
- for (dimension_type i = 0; i <= dim; ++i) {
- if (i != x_leaders[i])
- continue;
- const DB_Row<N>& x_dbm_i = x.dbm[i];
- const Bit_Row& x_redundancy_dbm_i = x.redundancy_dbm[i];
- DB_Row<N>& yy_dbm_i = yy.dbm[i];
- DB_Row<N>& res_dbm_i = res.dbm[i];
- for (dimension_type j = 0; j <= dim; ++j) {
- if (j != x_leaders[j] || x_redundancy_dbm_i[j])
- continue;
- N& yy_dbm_ij = yy_dbm_i[j];
- const N& x_dbm_ij = x_dbm_i[j];
- if (x_dbm_ij < yy_dbm_ij) {
- res_dbm_i[j] = x_dbm_ij;
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_dbm_ij = x_dbm_ij;
- yy.reset_shortest_path_closed();
- PPL_ASSERT(i > 0 || j > 0);
- Variable var(((i > 0) ? i : j) - 1);
- yy.incremental_shortest_path_closure_assign(var);
- if (target.contains(yy)) {
- // Target reached: swap `x' and `res' if needed.
- if (res_num_non_redundant < x_num_non_redundant) {
- res.reset_shortest_path_closed();
- x.m_swap(res);
- }
- return bool_result;
- }
- }
- }
- }
- // This point should be unreachable.
- PPL_UNREACHABLE;
- return false;
-}
-
-template <typename T>
-void
-BD_Shape<T>::add_space_dimensions_and_embed(const dimension_type m) {
- // Adding no dimensions is a no-op.
- if (m == 0)
- return;
-
- const dimension_type space_dim = space_dimension();
- const dimension_type new_space_dim = space_dim + m;
- const bool was_zero_dim_univ = (!marked_empty() && space_dim == 0);
-
- // To embed an n-dimension space BDS in a (n+m)-dimension space,
- // we just add `m' rows and columns in the bounded difference shape,
- // initialized to PLUS_INFINITY.
- dbm.grow(new_space_dim + 1);
-
- // Shortest-path closure is maintained (if it was holding).
- // TODO: see whether reduction can be (efficiently!) maintained too.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
-
- // If `*this' was the zero-dim space universe BDS,
- // the we can set the shortest-path closure flag.
- if (was_zero_dim_univ)
- set_shortest_path_closed();
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::add_space_dimensions_and_project(const dimension_type m) {
- // Adding no dimensions is a no-op.
- if (m == 0)
- return;
-
- const dimension_type space_dim = space_dimension();
-
- // If `*this' was zero-dimensional, then we add `m' rows and columns.
- // If it also was non-empty, then we zero all the added elements
- // and set the flag for shortest-path closure.
- if (space_dim == 0) {
- dbm.grow(m + 1);
- if (!marked_empty()) {
- for (dimension_type i = m + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = m + 1; j-- > 0; )
- if (i != j)
- assign_r(dbm_i[j], 0, ROUND_NOT_NEEDED);
- }
- set_shortest_path_closed();
- }
- PPL_ASSERT(OK());
- return;
- }
-
- // To project an n-dimension space bounded difference shape
- // in a (n+m)-dimension space, we add `m' rows and columns.
- // In the first row and column of the matrix we add `zero' from
- // the (n+1)-th position to the end.
- const dimension_type new_space_dim = space_dim + m;
- dbm.grow(new_space_dim + 1);
-
- // Bottom of the matrix and first row.
- DB_Row<N>& dbm_0 = dbm[0];
- for (dimension_type i = space_dim + 1; i <= new_space_dim; ++i) {
- assign_r(dbm[i][0], 0, ROUND_NOT_NEEDED);
- assign_r(dbm_0[i], 0, ROUND_NOT_NEEDED);
- }
-
- if (marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::remove_space_dimensions(const Variables_Set& vars) {
- // The removal of no dimensions from any BDS is a no-op.
- // Note that this case also captures the only legal removal of
- // space dimensions from a BDS in a 0-dim space.
- if (vars.empty()) {
- PPL_ASSERT(OK());
- return;
- }
-
- const dimension_type old_space_dim = space_dimension();
-
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (old_space_dim < min_space_dim)
- throw_dimension_incompatible("remove_space_dimensions(vs)", min_space_dim);
-
- // Shortest-path closure is necessary to keep precision.
- shortest_path_closure_assign();
-
- // When removing _all_ dimensions from a BDS, we obtain the
- // zero-dimensional BDS.
- const dimension_type new_space_dim = old_space_dim - vars.size();
- if (new_space_dim == 0) {
- dbm.resize_no_copy(1);
- if (!marked_empty())
- // We set the zero_dim_univ flag.
- set_zero_dim_univ();
- PPL_ASSERT(OK());
- return;
- }
-
- // Handle the case of an empty BD_Shape.
- if (marked_empty()) {
- dbm.resize_no_copy(new_space_dim + 1);
- PPL_ASSERT(OK());
- return;
- }
-
- // Shortest-path closure is maintained.
- // TODO: see whether reduction can be (efficiently!) maintained too.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
-
- // For each variable to remove, we fill the corresponding column and
- // row by shifting respectively left and above those
- // columns and rows, that will not be removed.
- Variables_Set::const_iterator vsi = vars.begin();
- Variables_Set::const_iterator vsi_end = vars.end();
- dimension_type dst = *vsi + 1;
- dimension_type src = dst + 1;
- for (++vsi; vsi != vsi_end; ++vsi) {
- const dimension_type vsi_next = *vsi + 1;
- // All other columns and rows are moved respectively to the left
- // and above.
- while (src < vsi_next) {
- using std::swap;
- swap(dbm[dst], dbm[src]);
- for (dimension_type i = old_space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- assign_or_swap(dbm_i[dst], dbm_i[src]);
- }
- ++dst;
- ++src;
- }
- ++src;
- }
-
- // Moving the remaining rows and columns.
- while (src <= old_space_dim) {
- using std::swap;
- swap(dbm[dst], dbm[src]);
- for (dimension_type i = old_space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- assign_or_swap(dbm_i[dst], dbm_i[src]);
- }
- ++src;
- ++dst;
- }
-
- // Update the space dimension.
- dbm.resize_no_copy(new_space_dim + 1);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Partial_Function>
-void
-BD_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
- const dimension_type space_dim = space_dimension();
- // TODO: this implementation is just an executable specification.
- if (space_dim == 0)
- return;
-
- if (pfunc.has_empty_codomain()) {
- // All dimensions vanish: the BDS becomes zero_dimensional.
- remove_higher_space_dimensions(0);
- return;
- }
-
- const dimension_type new_space_dim = pfunc.max_in_codomain() + 1;
- // If we are going to actually reduce the space dimension,
- // then shortest-path closure is required to keep precision.
- if (new_space_dim < space_dim)
- shortest_path_closure_assign();
-
- // If the BDS is empty, then it is sufficient to adjust the
- // space dimension of the bounded difference shape.
- if (marked_empty()) {
- remove_higher_space_dimensions(new_space_dim);
- return;
- }
-
- // Shortest-path closure is maintained (if it was holding).
- // TODO: see whether reduction can be (efficiently!) maintained too.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
-
- // We create a new matrix with the new space dimension.
- DB_Matrix<N> x(new_space_dim+1);
- // First of all we must map the unary constraints, because
- // there is the fictitious variable `zero', that can't be mapped
- // at all.
- DB_Row<N>& dbm_0 = dbm[0];
- DB_Row<N>& x_0 = x[0];
- for (dimension_type j = 1; j <= space_dim; ++j) {
- dimension_type new_j;
- if (pfunc.maps(j - 1, new_j)) {
- assign_or_swap(x_0[new_j + 1], dbm_0[j]);
- assign_or_swap(x[new_j + 1][0], dbm[j][0]);
- }
- }
- // Now we map the binary constraints, exchanging the indexes.
- for (dimension_type i = 1; i <= space_dim; ++i) {
- dimension_type new_i;
- if (pfunc.maps(i - 1, new_i)) {
- DB_Row<N>& dbm_i = dbm[i];
- ++new_i;
- DB_Row<N>& x_new_i = x[new_i];
- for (dimension_type j = i+1; j <= space_dim; ++j) {
- dimension_type new_j;
- if (pfunc.maps(j - 1, new_j)) {
- ++new_j;
- assign_or_swap(x_new_i[new_j], dbm_i[j]);
- assign_or_swap(x[new_j][new_i], dbm[j][i]);
- }
- }
- }
- }
-
- using std::swap;
- swap(dbm, x);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::intersection_assign(const BD_Shape& y) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("intersection_assign(y)", y);
-
- // If one of the two bounded difference shapes is empty,
- // the intersection is empty.
- if (marked_empty())
- return;
- if (y.marked_empty()) {
- set_empty();
- return;
- }
-
- // If both bounded difference shapes are zero-dimensional,
- // then at this point they are necessarily non-empty,
- // so that their intersection is non-empty too.
- if (space_dim == 0)
- return;
-
- // To intersect two bounded difference shapes we compare
- // the constraints and we choose the less values.
- bool changed = false;
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- N& dbm_ij = dbm_i[j];
- const N& y_dbm_ij = y_dbm_i[j];
- if (dbm_ij > y_dbm_ij) {
- dbm_ij = y_dbm_ij;
- changed = true;
- }
- }
- }
-
- if (changed && marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Iterator>
-void
-BD_Shape<T>::CC76_extrapolation_assign(const BD_Shape& y,
- Iterator first, Iterator last,
- unsigned* tp) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("CC76_extrapolation_assign(y)", y);
-
- // We assume that `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If both bounded difference shapes are zero-dimensional,
- // since `*this' contains `y', we simply return `*this'.
- if (space_dim == 0)
- return;
-
- shortest_path_closure_assign();
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- y.shortest_path_closure_assign();
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- // If there are tokens available, work on a temporary copy.
- if (tp != 0 && *tp > 0) {
- BD_Shape<T> x_tmp(*this);
- x_tmp.CC76_extrapolation_assign(y, first, last, 0);
- // If the widening was not precise, use one of the available tokens.
- if (!contains(x_tmp))
- --(*tp);
- return;
- }
-
- // Compare each constraint in `y' to the corresponding one in `*this'.
- // The constraint in `*this' is kept as is if it is stronger than or
- // equal to the constraint in `y'; otherwise, the inhomogeneous term
- // of the constraint in `*this' is further compared with elements taken
- // from a sorted container (the stop-points, provided by the user), and
- // is replaced by the first entry, if any, which is greater than or equal
- // to the inhomogeneous term. If no such entry exists, the constraint
- // is removed altogether.
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- N& dbm_ij = dbm_i[j];
- const N& y_dbm_ij = y_dbm_i[j];
- if (y_dbm_ij < dbm_ij) {
- Iterator k = std::lower_bound(first, last, dbm_ij);
- if (k != last) {
- if (dbm_ij < *k)
- assign_r(dbm_ij, *k, ROUND_UP);
- }
- else
- assign_r(dbm_ij, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- }
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::get_limiting_shape(const Constraint_System& cs,
- BD_Shape& limiting_shape) const {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(cs.space_dimension() <= space_dimension());
-
- shortest_path_closure_assign();
- bool changed = false;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_c_term);
- PPL_DIRTY_TEMP(N, d);
- PPL_DIRTY_TEMP(N, d1);
- for (Constraint_System::const_iterator cs_i = cs.begin(),
- cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
- const Constraint& c = *cs_i;
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- // Constraints that are not bounded differences are ignored.
- if (BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
- // Select the cell to be modified for the "<=" part of the constraint,
- // and set `coeff' to the absolute value of itself.
- const bool negative = (coeff < 0);
- const N& x = negative ? dbm[i][j] : dbm[j][i];
- const N& y = negative ? dbm[j][i] : dbm[i][j];
- DB_Matrix<N>& ls_dbm = limiting_shape.dbm;
- if (negative)
- neg_assign(coeff);
- // Compute the bound for `x', rounding towards plus infinity.
- div_round_up(d, c.inhomogeneous_term(), coeff);
- if (x <= d) {
- if (c.is_inequality()) {
- N& ls_x = negative ? ls_dbm[i][j] : ls_dbm[j][i];
- if (ls_x > d) {
- ls_x = d;
- changed = true;
- }
- }
- else {
- // Compute the bound for `y', rounding towards plus infinity.
- neg_assign(minus_c_term, c.inhomogeneous_term());
- div_round_up(d1, minus_c_term, coeff);
- if (y <= d1) {
- N& ls_x = negative ? ls_dbm[i][j] : ls_dbm[j][i];
- N& ls_y = negative ? ls_dbm[j][i] : ls_dbm[i][j];
- if ((ls_x >= d && ls_y > d1) || (ls_x > d && ls_y >= d1)) {
- ls_x = d;
- ls_y = d1;
- changed = true;
- }
- }
- }
- }
- }
- }
-
- // In general, adding a constraint does not preserve the shortest-path
- // closure of the bounded difference shape.
- if (changed && limiting_shape.marked_shortest_path_closed())
- limiting_shape.reset_shortest_path_closed();
-}
-
-template <typename T>
-void
-BD_Shape<T>::limited_CC76_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp) {
- // Dimension-compatibility check.
- const dimension_type space_dim = space_dimension();
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("limited_CC76_extrapolation_assign(y, cs)",
- y);
-
- // `cs' must be dimension-compatible with the two systems
- // of bounded differences.
- const dimension_type cs_space_dim = cs.space_dimension();
- if (space_dim < cs_space_dim)
- throw_invalid_argument("limited_CC76_extrapolation_assign(y, cs)",
- "cs is space_dimension incompatible");
-
- // Strict inequalities not allowed.
- if (cs.has_strict_inequalities())
- throw_invalid_argument("limited_CC76_extrapolation_assign(y, cs)",
- "cs has strict inequalities");
-
- // The limited CC76-extrapolation between two systems of bounded
- // differences in a zero-dimensional space is a system of bounded
- // differences in a zero-dimensional space, too.
- if (space_dim == 0)
- return;
-
- // We assume that `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- BD_Shape<T> limiting_shape(space_dim, UNIVERSE);
- get_limiting_shape(cs, limiting_shape);
- CC76_extrapolation_assign(y, tp);
- intersection_assign(limiting_shape);
-}
-
-template <typename T>
-void
-BD_Shape<T>::BHMZ05_widening_assign(const BD_Shape& y, unsigned* tp) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("BHMZ05_widening_assign(y)", y);
-
- // We assume that `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // Compute the affine dimension of `y'.
- const dimension_type y_affine_dim = y.affine_dimension();
- // If the affine dimension of `y' is zero, then either `y' is
- // zero-dimensional, or it is empty, or it is a singleton.
- // In all cases, due to the inclusion hypothesis, the result is `*this'.
- if (y_affine_dim == 0)
- return;
-
- // If the affine dimension has changed, due to the inclusion hypothesis,
- // the result is `*this'.
- const dimension_type x_affine_dim = affine_dimension();
- PPL_ASSERT(x_affine_dim >= y_affine_dim);
- if (x_affine_dim != y_affine_dim)
- return;
-
- // If there are tokens available, work on a temporary copy.
- if (tp != 0 && *tp > 0) {
- BD_Shape<T> x_tmp(*this);
- x_tmp.BHMZ05_widening_assign(y, 0);
- // If the widening was not precise, use one of the available tokens.
- if (!contains(x_tmp))
- --(*tp);
- return;
- }
-
- // Here no token is available.
- PPL_ASSERT(marked_shortest_path_closed() && y.marked_shortest_path_closed());
- // Minimize `y'.
- y.shortest_path_reduction_assign();
-
- // Extrapolate unstable bounds, taking into account redundancy in `y'.
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- const Bit_Row& y_redundancy_i = y.redundancy_dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- N& dbm_ij = dbm_i[j];
- // Note: in the following line the use of `!=' (as opposed to
- // the use of `<' that would seem -but is not- equivalent) is
- // intentional.
- if (y_redundancy_i[j] || y_dbm_i[j] != dbm_ij)
- assign_r(dbm_ij, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- // NOTE: this will also reset the shortest-path reduction flag,
- // even though the dbm is still in reduced form. However, the
- // current implementation invariant requires that any reduced dbm
- // is closed too.
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::limited_BHMZ05_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp) {
- // Dimension-compatibility check.
- const dimension_type space_dim = space_dimension();
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("limited_BHMZ05_extrapolation_assign(y, cs)",
- y);
- // `cs' must be dimension-compatible with the two systems
- // of bounded differences.
- const dimension_type cs_space_dim = cs.space_dimension();
- if (space_dim < cs_space_dim)
- throw_invalid_argument("limited_BHMZ05_extrapolation_assign(y, cs)",
- "cs is space-dimension incompatible");
-
- // Strict inequalities are not allowed.
- if (cs.has_strict_inequalities())
- throw_invalid_argument("limited_BHMZ05_extrapolation_assign(y, cs)",
- "cs has strict inequalities");
-
- // The limited BHMZ05-extrapolation between two systems of bounded
- // differences in a zero-dimensional space is a system of bounded
- // differences in a zero-dimensional space, too.
- if (space_dim == 0)
- return;
-
- // We assume that `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- BD_Shape<T> limiting_shape(space_dim, UNIVERSE);
- get_limiting_shape(cs, limiting_shape);
- BHMZ05_widening_assign(y, tp);
- intersection_assign(limiting_shape);
-}
-
-template <typename T>
-void
-BD_Shape<T>::CC76_narrowing_assign(const BD_Shape& y) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("CC76_narrowing_assign(y)", y);
-
- // We assume that `*this' is contained in or equal to `y'.
- PPL_EXPECT_HEAVY(copy_contains(y, *this));
-
- // If both bounded difference shapes are zero-dimensional,
- // since `y' contains `*this', we simply return `*this'.
- if (space_dim == 0)
- return;
-
- y.shortest_path_closure_assign();
- // If `y' is empty, since `y' contains `this', `*this' is empty too.
- if (y.marked_empty())
- return;
- shortest_path_closure_assign();
- // If `*this' is empty, we return.
- if (marked_empty())
- return;
-
- // Replace each constraint in `*this' by the corresponding constraint
- // in `y' if the corresponding inhomogeneous terms are both finite.
- bool changed = false;
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- const DB_Row<N>& y_dbm_i = y.dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- N& dbm_ij = dbm_i[j];
- const N& y_dbm_ij = y_dbm_i[j];
- if (!is_plus_infinity(dbm_ij)
- && !is_plus_infinity(y_dbm_ij)
- && dbm_ij != y_dbm_ij) {
- dbm_ij = y_dbm_ij;
- changed = true;
- }
- }
- }
- if (changed && marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>
-::deduce_v_minus_u_bounds(const dimension_type v,
- const dimension_type last_v,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& ub_v) {
- PPL_ASSERT(sc_denom > 0);
- PPL_ASSERT(!is_plus_infinity(ub_v));
- // Deduce constraints of the form `v - u', where `u != v'.
- // Note: the shortest-path closure is able to deduce the constraint
- // `v - u <= ub_v - lb_u'. We can be more precise if variable `u'
- // played an active role in the computation of the upper bound for `v',
- // i.e., if the corresponding coefficient `q == expr_u/denom' is
- // greater than zero. In particular:
- // if `q >= 1', then `v - u <= ub_v - ub_u';
- // if `0 < q < 1', then `v - u <= ub_v - (q*ub_u + (1-q)*lb_u)'.
- PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
- assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
- const DB_Row<N>& dbm_0 = dbm[0];
- // Speculative allocation of temporaries to be used in the following loop.
- PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
- PPL_DIRTY_TEMP(mpq_class, q);
- PPL_DIRTY_TEMP(mpq_class, ub_u);
- PPL_DIRTY_TEMP(N, up_approx);
- for (Linear_Expression::const_iterator u = sc_expr.begin(),
- u_end = sc_expr.lower_bound(Variable(last_v)); u != u_end; ++u) {
- const dimension_type u_dim = u.variable().space_dimension();
- if (u_dim == v)
- continue;
- const Coefficient& expr_u = *u;
- if (expr_u < 0)
- continue;
- PPL_ASSERT(expr_u > 0);
- if (expr_u >= sc_denom)
- // Deducing `v - u <= ub_v - ub_u'.
- sub_assign_r(dbm[u_dim][v], ub_v, dbm_0[u_dim], ROUND_UP);
- else {
- DB_Row<N>& dbm_u = dbm[u_dim];
- const N& dbm_u0 = dbm_u[0];
- if (!is_plus_infinity(dbm_u0)) {
- // Let `ub_u' and `lb_u' be the known upper and lower bound
- // for `u', respectively. Letting `q = expr_u/sc_denom' be the
- // rational coefficient of `u' in `sc_expr/sc_denom',
- // the upper bound for `v - u' is computed as
- // `ub_v - (q * ub_u + (1-q) * lb_u)', i.e.,
- // `ub_v + (-lb_u) - q * (ub_u + (-lb_u))'.
- assign_r(minus_lb_u, dbm_u0, ROUND_NOT_NEEDED);
- assign_r(q, expr_u, ROUND_NOT_NEEDED);
- div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
- assign_r(ub_u, dbm_0[u_dim], ROUND_NOT_NEEDED);
- // Compute `ub_u - lb_u'.
- add_assign_r(ub_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
- // Compute `(-lb_u) - q * (ub_u - lb_u)'.
- sub_mul_assign_r(minus_lb_u, q, ub_u, ROUND_NOT_NEEDED);
- assign_r(up_approx, minus_lb_u, ROUND_UP);
- // Deducing `v - u <= ub_v - (q * ub_u + (1-q) * lb_u)'.
- add_assign_r(dbm_u[v], ub_v, up_approx, ROUND_UP);
- }
- }
- }
-}
-
-template <typename T>
-void
-BD_Shape<T>
-::deduce_u_minus_v_bounds(const dimension_type v,
- const dimension_type last_v,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& minus_lb_v) {
- PPL_ASSERT(sc_denom > 0);
- PPL_ASSERT(!is_plus_infinity(minus_lb_v));
- // Deduce constraints of the form `u - v', where `u != v'.
- // Note: the shortest-path closure is able to deduce the constraint
- // `u - v <= ub_u - lb_v'. We can be more precise if variable `u'
- // played an active role in the computation of the lower bound for `v',
- // i.e., if the corresponding coefficient `q == expr_u/denom' is
- // greater than zero. In particular:
- // if `q >= 1', then `u - v <= lb_u - lb_v';
- // if `0 < q < 1', then `u - v <= (q*lb_u + (1-q)*ub_u) - lb_v'.
- PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
- assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
- DB_Row<N>& dbm_0 = dbm[0];
- DB_Row<N>& dbm_v = dbm[v];
- // Speculative allocation of temporaries to be used in the following loop.
- PPL_DIRTY_TEMP(mpq_class, ub_u);
- PPL_DIRTY_TEMP(mpq_class, q);
- PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
- PPL_DIRTY_TEMP(N, up_approx);
- // No need to consider indices greater than `last_v'.
- for (Linear_Expression::const_iterator u = sc_expr.begin(),
- u_end = sc_expr.lower_bound(Variable(last_v)); u != u_end; ++u) {
- const Variable u_var = u.variable();
- const dimension_type u_dim = u_var.space_dimension();
- if (u_var.space_dimension() == v)
- continue;
- const Coefficient& expr_u = *u;
- if (expr_u < 0)
- continue;
- PPL_ASSERT(expr_u > 0);
- if (expr_u >= sc_denom)
- // Deducing `u - v <= lb_u - lb_v',
- // i.e., `u - v <= (-lb_v) - (-lb_u)'.
- sub_assign_r(dbm_v[u_dim], minus_lb_v, dbm[u_dim][0], ROUND_UP);
- else {
- const N& dbm_0u = dbm_0[u_dim];
- if (!is_plus_infinity(dbm_0u)) {
- // Let `ub_u' and `lb_u' be the known upper and lower bound
- // for `u', respectively. Letting `q = expr_u/sc_denom' be the
- // rational coefficient of `u' in `sc_expr/sc_denom',
- // the upper bound for `u - v' is computed as
- // `(q * lb_u + (1-q) * ub_u) - lb_v', i.e.,
- // `ub_u - q * (ub_u + (-lb_u)) + minus_lb_v'.
- assign_r(ub_u, dbm_0u, ROUND_NOT_NEEDED);
- assign_r(q, expr_u, ROUND_NOT_NEEDED);
- div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
- assign_r(minus_lb_u, dbm[u_dim][0], ROUND_NOT_NEEDED);
- // Compute `ub_u - lb_u'.
- add_assign_r(minus_lb_u, minus_lb_u, ub_u, ROUND_NOT_NEEDED);
- // Compute `ub_u - q * (ub_u - lb_u)'.
- sub_mul_assign_r(ub_u, q, minus_lb_u, ROUND_NOT_NEEDED);
- assign_r(up_approx, ub_u, ROUND_UP);
- // Deducing `u - v <= (q*lb_u + (1-q)*ub_u) - lb_v'.
- add_assign_r(dbm_v[u_dim], up_approx, minus_lb_v, ROUND_UP);
- }
- }
- }
-}
-
-template <typename T>
-void
-BD_Shape<T>::forget_all_dbm_constraints(const dimension_type v) {
- PPL_ASSERT(0 < v && v <= dbm.num_rows());
- DB_Row<N>& dbm_v = dbm[v];
- for (dimension_type i = dbm.num_rows(); i-- > 0; ) {
- assign_r(dbm_v[i], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(dbm[i][v], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
-}
-
-template <typename T>
-void
-BD_Shape<T>::forget_binary_dbm_constraints(const dimension_type v) {
- PPL_ASSERT(0 < v && v <= dbm.num_rows());
- DB_Row<N>& dbm_v = dbm[v];
- for (dimension_type i = dbm.num_rows()-1; i > 0; --i) {
- assign_r(dbm_v[i], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(dbm[i][v], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
-}
-
-template <typename T>
-void
-BD_Shape<T>::unconstrain(const Variable var) {
- // Dimension-compatibility check.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dimension() < var_space_dim)
- throw_dimension_incompatible("unconstrain(var)", var_space_dim);
-
- // Shortest-path closure is necessary to detect emptiness
- // and all (possibly implicit) constraints.
- shortest_path_closure_assign();
-
- // If the shape is empty, this is a no-op.
- if (marked_empty())
- return;
-
- forget_all_dbm_constraints(var_space_dim);
- // Shortest-path closure is preserved, but not reduction.
- reset_shortest_path_reduced();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::unconstrain(const Variables_Set& vars) {
- // The cylindrification with respect to no dimensions is a no-op.
- // This case captures the only legal cylindrification in a 0-dim space.
- if (vars.empty())
- return;
-
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dimension() < min_space_dim)
- throw_dimension_incompatible("unconstrain(vs)", min_space_dim);
-
- // Shortest-path closure is necessary to detect emptiness
- // and all (possibly implicit) constraints.
- shortest_path_closure_assign();
-
- // If the shape is empty, this is a no-op.
- if (marked_empty())
- return;
-
- for (Variables_Set::const_iterator vsi = vars.begin(),
- vsi_end = vars.end(); vsi != vsi_end; ++vsi)
- forget_all_dbm_constraints(*vsi + 1);
- // Shortest-path closure is preserved, but not reduction.
- reset_shortest_path_reduced();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::refine(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- PPL_ASSERT(denominator != 0);
- PPL_ASSERT(space_dimension() >= expr.space_dimension());
- const dimension_type v = var.id() + 1;
- PPL_ASSERT(v <= space_dimension());
- PPL_ASSERT(expr.coefficient(var) == 0);
- PPL_ASSERT(relsym != LESS_THAN && relsym != GREATER_THAN);
-
- const Coefficient& b = expr.inhomogeneous_term();
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Index of the last non-zero coefficient in `expr', if any.
- dimension_type w = expr.last_nonzero();
-
- if (w != 0) {
- ++t;
- if (!expr.all_zeroes(1, w))
- ++t;
- }
-
- // Since we are only able to record bounded differences, we can
- // precisely deal with the case of a single variable only if its
- // coefficient (taking into account the denominator) is 1.
- // If this is not the case, we fall back to the general case
- // so as to over-approximate the constraint.
- if (t == 1 && expr.get(Variable(w - 1)) != denominator)
- t = 2;
-
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*w + b, where `w != v' and `a == denominator';
- // - If t == 2, the `expr' is of the general form.
- const DB_Row<N>& dbm_0 = dbm[0];
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign(minus_denom, denominator);
-
- if (t == 0) {
- // Case 1: expr == b.
- switch (relsym) {
- case EQUAL:
- // Add the constraint `var == b/denominator'.
- add_dbm_constraint(0, v, b, denominator);
- add_dbm_constraint(v, 0, b, minus_denom);
- break;
- case LESS_OR_EQUAL:
- // Add the constraint `var <= b/denominator'.
- add_dbm_constraint(0, v, b, denominator);
- break;
- case GREATER_OR_EQUAL:
- // Add the constraint `var >= b/denominator',
- // i.e., `-var <= -b/denominator',
- add_dbm_constraint(v, 0, b, minus_denom);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- return;
- }
-
- if (t == 1) {
- // Case 2: expr == a*w + b, w != v, a == denominator.
- PPL_ASSERT(expr.get(Variable(w - 1)) == denominator);
- PPL_DIRTY_TEMP(N, d);
- switch (relsym) {
- case EQUAL:
- // Add the new constraint `v - w <= b/denominator'.
- div_round_up(d, b, denominator);
- add_dbm_constraint(w, v, d);
- // Add the new constraint `v - w >= b/denominator',
- // i.e., `w - v <= -b/denominator'.
- div_round_up(d, b, minus_denom);
- add_dbm_constraint(v, w, d);
- break;
- case LESS_OR_EQUAL:
- // Add the new constraint `v - w <= b/denominator'.
- div_round_up(d, b, denominator);
- add_dbm_constraint(w, v, d);
- break;
- case GREATER_OR_EQUAL:
- // Add the new constraint `v - w >= b/denominator',
- // i.e., `w - v <= -b/denominator'.
- div_round_up(d, b, minus_denom);
- add_dbm_constraint(v, w, d);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- return;
- }
-
- // Here t == 2, so that either
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2, or
- // expr == a*w + b, w != v and a != denominator.
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -expr;
- const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, sum);
- // Indices of the variables that are unbounded in `this->dbm'.
- PPL_UNINITIALIZED(dimension_type, pinf_index);
- // Number of unbounded variables found.
- dimension_type pinf_count = 0;
-
- // Speculative allocation of temporaries that are used in most
- // of the computational traces starting from this point (also loops).
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- PPL_DIRTY_TEMP(N, coeff_i);
-
- switch (relsym) {
- case EQUAL:
- {
- PPL_DIRTY_TEMP(N, neg_sum);
- // Indices of the variables that are unbounded in `this->dbm'.
- PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
- // Number of unbounded variables found.
- dimension_type neg_pinf_count = 0;
-
- // Compute an upper approximation for `expr' into `sum',
- // taking into account the sign of `denominator'.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, sc_b, ROUND_UP);
- assign_r(neg_sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `expr'.
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const dimension_type i_dim = i.variable().space_dimension();
- const Coefficient& sc_i = *i;
- const int sign_i = sgn(sc_i);
- PPL_ASSERT(sign_i != 0);
- if (sign_i > 0) {
- assign_r(coeff_i, sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pinf_count <= 1) {
- const N& approx_i = dbm_0[i_dim];
- if (!is_plus_infinity(approx_i))
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- else {
- ++pinf_count;
- pinf_index = i_dim;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& approx_minus_i = dbm[i_dim][0];
- if (!is_plus_infinity(approx_minus_i))
- add_mul_assign_r(neg_sum, coeff_i, approx_minus_i, ROUND_UP);
- else {
- ++neg_pinf_count;
- neg_pinf_index = i_dim;
- }
- }
- }
- else {
- PPL_ASSERT(sign_i < 0);
- neg_assign(minus_sc_i, sc_i);
- // Note: using temporary named `coeff_i' to store -coeff_i.
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pinf_count <= 1) {
- const N& approx_minus_i = dbm[i_dim][0];
- if (!is_plus_infinity(approx_minus_i))
- add_mul_assign_r(sum, coeff_i, approx_minus_i, ROUND_UP);
- else {
- ++pinf_count;
- pinf_index = i_dim;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& approx_i = dbm_0[i_dim];
- if (!is_plus_infinity(approx_i))
- add_mul_assign_r(neg_sum, coeff_i, approx_i, ROUND_UP);
- else {
- ++neg_pinf_count;
- neg_pinf_index = i_dim;
- }
- }
- }
- }
- // Return immediately if no approximation could be computed.
- if (pinf_count > 1 && neg_pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // In the following, shortest-path closure will be definitely lost.
- reset_shortest_path_closed();
-
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
-
- // Exploit the upper approximation, if possible.
- if (pinf_count <= 1) {
- // Compute quotient (if needed).
- if (down_sc_denom != 1)
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- // Add the upper bound constraint, if meaningful.
- if (pinf_count == 0) {
- // Add the constraint `v <= sum'.
- dbm[0][v] = sum;
- // Deduce constraints of the form `v - u', where `u != v'.
- deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, sum);
- }
- else
- // Here `pinf_count == 1'.
- if (pinf_index != v
- && sc_expr.get(Variable(pinf_index - 1)) == sc_denom)
- // Add the constraint `v - pinf_index <= sum'.
- dbm[pinf_index][v] = sum;
- }
-
- // Exploit the lower approximation, if possible.
- if (neg_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (down_sc_denom != 1)
- div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
- // Add the lower bound constraint, if meaningful.
- if (neg_pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- DB_Row<N>& dbm_v = dbm[v];
- dbm_v[0] = neg_sum;
- // Deduce constraints of the form `u - v', where `u != v'.
- deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, neg_sum);
- }
- else
- // Here `neg_pinf_count == 1'.
- if (neg_pinf_index != v
- && sc_expr.get(Variable(neg_pinf_index - 1)) == sc_denom)
- // Add the constraint `v - neg_pinf_index >= -neg_sum',
- // i.e., `neg_pinf_index - v <= neg_sum'.
- dbm[v][neg_pinf_index] = neg_sum;
- }
- }
- break;
-
- case LESS_OR_EQUAL:
- // Compute an upper approximation for `expr' into `sum',
- // taking into account the sign of `denominator'.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `expr'.
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const Coefficient& sc_i = *i;
- const dimension_type i_dim = i.variable().space_dimension();
- const int sign_i = sgn(sc_i);
- PPL_ASSERT(sign_i != 0);
- // Choose carefully: we are approximating `sc_expr'.
- const N& approx_i = (sign_i > 0) ? dbm_0[i_dim] : dbm[i_dim][0];
- if (is_plus_infinity(approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = i_dim;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is achieved
- // by rounding upwards `minus_sc - denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v <= sum'.
- add_dbm_constraint(0, v, sum);
- // Deduce constraints of the form `v - u', where `u != v'.
- deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1)
- if (expr.get(Variable(pinf_index - 1)) == denominator)
- // Add the constraint `v - pinf_index <= sum'.
- add_dbm_constraint(pinf_index, v, sum);
- break;
-
- case GREATER_OR_EQUAL:
- // Compute an upper approximation for `-sc_expr' into `sum'.
- // Note: approximating `-sc_expr' from above and then negating the
- // result is the same as approximating `sc_expr' from below.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `-sc_expr'.
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const Coefficient& sc_i = *i;
- const dimension_type i_dim = i.variable().space_dimension();
- const int sign_i = sgn(sc_i);
- PPL_ASSERT(sign_i != 0);
- // Choose carefully: we are approximating `-sc_expr'.
- const N& approx_i = (sign_i > 0) ? dbm[i_dim][0] : dbm_0[i_dim];
- if (is_plus_infinity(approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = i_dim;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be positive,
- // this amounts to rounding downwards, which is achieved by rounding
- // upwards `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v >= -sum', i.e., `-v <= sum'.
- add_dbm_constraint(v, 0, sum);
- // Deduce constraints of the form `u - v', where `u != v'.
- deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1)
- if (pinf_index != v
- && expr.get(Variable(pinf_index - 1)) == denominator)
- // Add the constraint `v - pinf_index >= -sum',
- // i.e., `pinf_index - v <= sum'.
- add_dbm_constraint(v, pinf_index, sum);
- break;
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::affine_image(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("affine_image(v, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("affine_image(v, e, d)", "e", expr);
-
- // `var' should be one of the dimensions of the shape.
- const dimension_type v = var.id() + 1;
- if (v > space_dim)
- throw_dimension_incompatible("affine_image(v, e, d)", var.id());
-
- // The image of an empty BDS is empty too.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- const Coefficient& b = expr.inhomogeneous_term();
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Index of the last non-zero coefficient in `expr', if any.
- dimension_type w = expr.last_nonzero();
-
- if (w != 0) {
- ++t;
- if (!expr.all_zeroes(1, w))
- ++t;
- }
-
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `expr' is of the general form.
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign(minus_denom, denominator);
-
- if (t == 0) {
- // Case 1: expr == b.
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- // Add the constraint `var == b/denominator'.
- add_dbm_constraint(0, v, b, denominator);
- add_dbm_constraint(v, 0, b, minus_denom);
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // Value of the one and only non-zero coefficient in `expr'.
- const Coefficient& a = expr.get(Variable(w - 1));
- if (a == denominator || a == minus_denom) {
- // Case 2: expr == a*w + b, with a == +/- denominator.
- if (w == v) {
- // `expr' is of the form: a*v + b.
- if (a == denominator) {
- if (b == 0)
- // The transformation is the identity function.
- return;
- else {
- // Translate all the constraints on `var',
- // adding or subtracting the value `b/denominator'.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- PPL_DIRTY_TEMP(N, c);
- div_round_up(c, b, minus_denom);
- DB_Row<N>& dbm_v = dbm[v];
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- N& dbm_vi = dbm_v[i];
- add_assign_r(dbm_vi, dbm_vi, c, ROUND_UP);
- N& dbm_iv = dbm[i][v];
- add_assign_r(dbm_iv, dbm_iv, d, ROUND_UP);
- }
- // Both shortest-path closure and reduction are preserved.
- }
- }
- else {
- // Here `a == -denominator'.
- // Remove the binary constraints on `var'.
- forget_binary_dbm_constraints(v);
- // Swap the unary constraints on `var'.
- using std::swap;
- swap(dbm[v][0], dbm[0][v]);
- // Shortest-path closure is not preserved.
- reset_shortest_path_closed();
- if (b != 0) {
- // Translate the unary constraints on `var',
- // adding or subtracting the value `b/denominator'.
- PPL_DIRTY_TEMP(N, c);
- div_round_up(c, b, minus_denom);
- N& dbm_v0 = dbm[v][0];
- add_assign_r(dbm_v0, dbm_v0, c, ROUND_UP);
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- N& dbm_0v = dbm[0][v];
- add_assign_r(dbm_0v, dbm_0v, d, ROUND_UP);
- }
- }
- }
- else {
- // Here `w != v', so that `expr' is of the form
- // +/-denominator * w + b.
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- if (a == denominator) {
- // Add the new constraint `v - w == b/denominator'.
- add_dbm_constraint(w, v, b, denominator);
- add_dbm_constraint(v, w, b, minus_denom);
- }
- else {
- // Here a == -denominator, so that we should be adding
- // the constraint `v + w == b/denominator'.
- // Approximate it by computing lower and upper bounds for `w'.
- const N& dbm_w0 = dbm[w][0];
- if (!is_plus_infinity(dbm_w0)) {
- // Add the constraint `v <= b/denominator - lower_w'.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- add_assign_r(dbm[0][v], d, dbm_w0, ROUND_UP);
- reset_shortest_path_closed();
- }
- const N& dbm_0w = dbm[0][w];
- if (!is_plus_infinity(dbm_0w)) {
- // Add the constraint `v >= b/denominator - upper_w'.
- PPL_DIRTY_TEMP(N, c);
- div_round_up(c, b, minus_denom);
- add_assign_r(dbm[v][0], dbm_0w, c, ROUND_UP);
- reset_shortest_path_closed();
- }
- }
- }
- PPL_ASSERT(OK());
- return;
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t == 1, expr == a*w + b, but a <> +/- denominator.
- // We will remove all the constraints on `var' and add back
- // constraints providing upper and lower bounds for `var'.
-
- // Compute upper approximations for `expr' and `-expr'
- // into `pos_sum' and `neg_sum', respectively, taking into account
- // the sign of `denominator'.
- // Note: approximating `-expr' from above and then negating the
- // result is the same as approximating `expr' from below.
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -expr;
- const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, pos_sum);
- PPL_DIRTY_TEMP(N, neg_sum);
- // Indices of the variables that are unbounded in `this->dbm'.
- PPL_UNINITIALIZED(dimension_type, pos_pinf_index);
- PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
- // Number of unbounded variables found.
- dimension_type pos_pinf_count = 0;
- dimension_type neg_pinf_count = 0;
-
- // Approximate the inhomogeneous term.
- assign_r(pos_sum, sc_b, ROUND_UP);
- assign_r(neg_sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- const DB_Row<N>& dbm_0 = dbm[0];
- // Speculative allocation of temporaries to be used in the following loop.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
-
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const Coefficient& sc_i = *i;
- const dimension_type i_dim = i.variable().space_dimension();
- const int sign_i = sgn(sc_i);
- if (sign_i > 0) {
- assign_r(coeff_i, sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pos_pinf_count <= 1) {
- const N& up_approx_i = dbm_0[i_dim];
- if (!is_plus_infinity(up_approx_i))
- add_mul_assign_r(pos_sum, coeff_i, up_approx_i, ROUND_UP);
- else {
- ++pos_pinf_count;
- pos_pinf_index = i_dim;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& up_approx_minus_i = dbm[i_dim][0];
- if (!is_plus_infinity(up_approx_minus_i))
- add_mul_assign_r(neg_sum, coeff_i, up_approx_minus_i, ROUND_UP);
- else {
- ++neg_pinf_count;
- neg_pinf_index = i_dim;
- }
- }
- }
- else {
- PPL_ASSERT(sign_i < 0);
- neg_assign(minus_sc_i, sc_i);
- // Note: using temporary named `coeff_i' to store -coeff_i.
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pos_pinf_count <= 1) {
- const N& up_approx_minus_i = dbm[i_dim][0];
- if (!is_plus_infinity(up_approx_minus_i))
- add_mul_assign_r(pos_sum, coeff_i, up_approx_minus_i, ROUND_UP);
- else {
- ++pos_pinf_count;
- pos_pinf_index = i_dim;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& up_approx_i = dbm_0[i_dim];
- if (!is_plus_infinity(up_approx_i))
- add_mul_assign_r(neg_sum, coeff_i, up_approx_i, ROUND_UP);
- else {
- ++neg_pinf_count;
- neg_pinf_index = i_dim;
- }
- }
- }
- }
-
- // Remove all constraints on 'v'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is maintained, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- // Return immediately if no approximation could be computed.
- if (pos_pinf_count > 1 && neg_pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // In the following, shortest-path closure will be definitely lost.
- reset_shortest_path_closed();
-
- // Exploit the upper approximation, if possible.
- if (pos_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(pos_sum, pos_sum, down_sc_denom, ROUND_UP);
- }
- // Add the upper bound constraint, if meaningful.
- if (pos_pinf_count == 0) {
- // Add the constraint `v <= pos_sum'.
- dbm[0][v] = pos_sum;
- // Deduce constraints of the form `v - u', where `u != v'.
- deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, pos_sum);
- }
- else
- // Here `pos_pinf_count == 1'.
- if (pos_pinf_index != v
- && sc_expr.get(Variable(pos_pinf_index - 1)) == sc_denom)
- // Add the constraint `v - pos_pinf_index <= pos_sum'.
- dbm[pos_pinf_index][v] = pos_sum;
- }
-
- // Exploit the lower approximation, if possible.
- if (neg_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
- }
- // Add the lower bound constraint, if meaningful.
- if (neg_pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- DB_Row<N>& dbm_v = dbm[v];
- dbm_v[0] = neg_sum;
- // Deduce constraints of the form `u - v', where `u != v'.
- deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, neg_sum);
- }
- else
- // Here `neg_pinf_count == 1'.
- if (neg_pinf_index != v
- && sc_expr.get(Variable(neg_pinf_index - 1)) == sc_denom)
- // Add the constraint `v - neg_pinf_index >= -neg_sum',
- // i.e., `neg_pinf_index - v <= neg_sum'.
- dbm[v][neg_pinf_index] = neg_sum;
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-BD_Shape<T>::affine_form_image(const Variable var,
- const Linear_Form< Interval<T, Interval_Info> >& lf) {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "BD_Shape<T>::affine_form_image(Variable, Linear_Form):"
- " T not a floating point type.");
-
- // Dimension-compatibility checks.
- // The dimension of `lf' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type lf_space_dim = lf.space_dimension();
- if (space_dim < lf_space_dim)
- throw_dimension_incompatible("affine_form_image(var_id, l)", "l", lf);
-
- // `var' should be one of the dimensions of the shape.
- const dimension_type var_id = var.id() + 1;
- if (space_dim < var_id)
- throw_dimension_incompatible("affine_form_image(var_id, l)", var.id());
-
- // The image of an empty BDS is empty too.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lf': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Index of the last non-zero coefficient in `lf', if any.
- dimension_type w_id = 0;
- // Get information about the number of non-zero coefficients in `lf'.
- for (dimension_type i = lf_space_dim; i-- > 0; )
- if (lf.coefficient(Variable(i)) != 0) {
- if (t++ == 1)
- break;
- else
- w_id = i + 1;
- }
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- const FP_Interval_Type& b = lf.inhomogeneous_term();
-
- // Now we know the form of `lf':
- // - If t == 0, then lf == b, with `b' a constant;
- // - If t == 1, then lf == a*w + b, where `w' can be `v' or another
- // variable;
- // - If t == 2, the linear form 'lf' is of the general form.
-
- if (t == 0) {
- inhomogeneous_affine_form_image(var_id, b);
- PPL_ASSERT(OK());
- return;
- }
- else if (t == 1) {
- const FP_Interval_Type& w_coeff = lf.coefficient(Variable(w_id - 1));
- if (w_coeff == 1 || w_coeff == -1) {
- one_variable_affine_form_image(var_id, b, w_coeff, w_id, space_dim);
- PPL_ASSERT(OK());
- return;
- }
- }
- two_variables_affine_form_image(var_id, lf, space_dim);
- PPL_ASSERT(OK());
-}
-
-// Case 1: var = b, where b = [-b_mlb, b_ub]
-template <typename T>
-template <typename Interval_Info>
-void
-BD_Shape<T>
-::inhomogeneous_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b) {
- PPL_DIRTY_TEMP(N, b_ub);
- assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(N, b_mlb);
- neg_assign_r(b_mlb, b.lower(), ROUND_NOT_NEEDED);
-
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(var_id);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- // Add the constraint `var >= lb && var <= ub'.
- add_dbm_constraint(0, var_id, b_ub);
- add_dbm_constraint(var_id, 0, b_mlb);
- return;
-}
-
-// case 2: var = (+/-1) * w + [-b_mlb, b_ub], where `w' can be `var'
-// or another variable.
-template <typename T>
-template <typename Interval_Info>
-void BD_Shape<T>
-::one_variable_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b,
- const Interval<T, Interval_Info>& w_coeff,
- const dimension_type& w_id,
- const dimension_type& space_dim) {
-
- PPL_DIRTY_TEMP(N, b_ub);
- assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(N, b_mlb);
- neg_assign_r(b_mlb, b.lower(), ROUND_NOT_NEEDED);
-
- // True if `w_coeff' is in [1, 1].
- bool is_w_coeff_one = (w_coeff == 1);
-
- if (w_id == var_id) {
- // True if `b' is in [b_mlb, b_ub] and that is [0, 0].
- bool is_b_zero = (b_mlb == 0 && b_ub == 0);
- // Here `lf' is of the form: [+/-1, +/-1] * v + b.
- if (is_w_coeff_one) {
- if (is_b_zero)
- // The transformation is the identity function.
- return;
- else {
- // Translate all the constraints on `var' by adding the value
- // `b_ub' or subtracting the value `b_mlb'.
- DB_Row<N>& dbm_v = dbm[var_id];
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- N& dbm_vi = dbm_v[i];
- add_assign_r(dbm_vi, dbm_vi, b_mlb, ROUND_UP);
- N& dbm_iv = dbm[i][var_id];
- add_assign_r(dbm_iv, dbm_iv, b_ub, ROUND_UP);
- }
- // Both shortest-path closure and reduction are preserved.
- }
- }
- else {
- // Here `w_coeff = [-1, -1].
- // Remove the binary constraints on `var'.
- forget_binary_dbm_constraints(var_id);
- using std::swap;
- swap(dbm[var_id][0], dbm[0][var_id]);
- // Shortest-path closure is not preserved.
- reset_shortest_path_closed();
- if (!is_b_zero) {
- // Translate the unary constraints on `var' by adding the value
- // `b_ub' or subtracting the value `b_mlb'.
- N& dbm_v0 = dbm[var_id][0];
- add_assign_r(dbm_v0, dbm_v0, b_mlb, ROUND_UP);
- N& dbm_0v = dbm[0][var_id];
- add_assign_r(dbm_0v, dbm_0v, b_ub, ROUND_UP);
- }
- }
- }
- else {
- // Here `w != var', so that `lf' is of the form
- // [+/-1, +/-1] * w + b.
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(var_id);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- if (is_w_coeff_one) {
- // Add the new constraints `var - w >= b_mlb'
- // `and var - w <= b_ub'.
- add_dbm_constraint(w_id, var_id, b_ub);
- add_dbm_constraint(var_id, w_id, b_mlb);
- }
- else {
- // We have to add the constraint `v + w == b', over-approximating it
- // by computing lower and upper bounds for `w'.
- const N& mlb_w = dbm[w_id][0];
- if (!is_plus_infinity(mlb_w)) {
- // Add the constraint `v <= ub - lb_w'.
- add_assign_r(dbm[0][var_id], b_ub, mlb_w, ROUND_UP);
- reset_shortest_path_closed();
- }
- const N& ub_w = dbm[0][w_id];
- if (!is_plus_infinity(ub_w)) {
- // Add the constraint `v >= lb - ub_w'.
- add_assign_r(dbm[var_id][0], ub_w, b_mlb, ROUND_UP);
- reset_shortest_path_closed();
- }
- }
- }
- return;
-}
-
-// General case.
-// Either t == 2, so that
-// lf == i_1*x_1 + i_2*x_2 + ... + i_n*x_n + b, where n >= 2,
-// or t == 1, lf == i*w + b, but i <> [+/-1, +/-1].
-template <typename T>
-template <typename Interval_Info>
-void BD_Shape<T>
-::two_variables_affine_form_image(const dimension_type& var_id,
- const Linear_Form< Interval<T, Interval_Info> >& lf,
- const dimension_type& space_dim) {
- // Shortest-path closure is maintained, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
-
- reset_shortest_path_closed();
-
- Linear_Form< Interval<T, Interval_Info> > minus_lf(lf);
- minus_lf.negate();
-
- // Declare temporaries outside the loop.
- PPL_DIRTY_TEMP(N, upper_bound);
-
- // Update binary constraints on var FIRST.
- for (dimension_type curr_var = 1; curr_var < var_id; ++curr_var) {
- Variable current(curr_var - 1);
- linear_form_upper_bound(lf - current, upper_bound);
- assign_r(dbm[curr_var][var_id], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(minus_lf + current, upper_bound);
- assign_r(dbm[var_id][curr_var], upper_bound, ROUND_NOT_NEEDED);
- }
- for (dimension_type curr_var = var_id + 1; curr_var <= space_dim;
- ++curr_var) {
- Variable current(curr_var - 1);
- linear_form_upper_bound(lf - current, upper_bound);
- assign_r(dbm[curr_var][var_id], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(minus_lf + current, upper_bound);
- assign_r(dbm[var_id][curr_var], upper_bound, ROUND_NOT_NEEDED);
- }
- // Finally, update unary constraints on var.
- PPL_DIRTY_TEMP(N, lf_ub);
- linear_form_upper_bound(lf, lf_ub);
- PPL_DIRTY_TEMP(N, minus_lf_ub);
- linear_form_upper_bound(minus_lf, minus_lf_ub);
- assign_r(dbm[0][var_id], lf_ub, ROUND_NOT_NEEDED);
- assign_r(dbm[var_id][0], minus_lf_ub, ROUND_NOT_NEEDED);
-}
-
-template <typename T>
-template <typename Interval_Info>
-void BD_Shape<T>::refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::refine_with_linear_form_inequality:"
- " T not a floating point type.");
-
- //We assume that the analyzer will not try to apply an unreachable filter.
- PPL_ASSERT(!marked_empty());
-
- // Dimension-compatibility checks.
- // The dimensions of `left' and `right' should not be greater than the
- // dimension of `*this'.
- const dimension_type left_space_dim = left.space_dimension();
- const dimension_type space_dim = space_dimension();
- if (space_dim < left_space_dim)
- throw_dimension_incompatible(
- "refine_with_linear_form_inequality(left, right)", "left", left);
-
- const dimension_type right_space_dim = right.space_dimension();
- if (space_dim < right_space_dim)
- throw_dimension_incompatible(
- "refine_with_linear_form_inequality(left, right)", "right", right);
-
- // Number of non-zero coefficients in `left': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type left_t = 0;
- // Variable-index of the last non-zero coefficient in `left', if any.
- dimension_type left_w_id = 0;
- // Number of non-zero coefficients in `right': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type right_t = 0;
- // Variable-index of the last non-zero coefficient in `right', if any.
- dimension_type right_w_id = 0;
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- // Get information about the number of non-zero coefficients in `left'.
- for (dimension_type i = left_space_dim; i-- > 0; )
- if (left.coefficient(Variable(i)) != 0) {
- if (left_t++ == 1)
- break;
- else
- left_w_id = i;
- }
-
- // Get information about the number of non-zero coefficients in `right'.
- for (dimension_type i = right_space_dim; i-- > 0; )
- if (right.coefficient(Variable(i)) != 0) {
- if (right_t++ == 1)
- break;
- else
- right_w_id = i;
- }
-
- const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
- const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
-
- if (left_t == 0) {
- if (right_t == 0) {
- // The constraint involves constants only. Ignore it: it is up to
- // the analyzer to handle it.
- PPL_ASSERT(OK());
- return;
- }
- else if (right_w_coeff == 1 || right_w_coeff == -1) {
- left_inhomogeneous_refine(right_t, right_w_id, left, right);
- PPL_ASSERT(OK());
- return;
- }
- }
- else if (left_t == 1) {
- if (left_w_coeff == 1 || left_w_coeff == -1) {
- if (right_t == 0 || (right_w_coeff == 1 || right_w_coeff == -1)) {
- left_one_var_refine(left_w_id, right_t, right_w_id, left, right);
- PPL_ASSERT(OK());
- return;
- }
- }
- }
-
- // General case.
- general_refine(left_w_id, right_w_id, left, right);
- PPL_ASSERT(OK());
-} // end of refine_with_linear_form_inequality
-
-template <typename T>
-template <typename U>
-void
-BD_Shape<T>
-::export_interval_constraints(U& dest) const {
- const dimension_type space_dim = space_dimension();
- if (space_dim > dest.space_dimension())
- throw std::invalid_argument(
- "BD_Shape<T>::export_interval_constraints");
-
- // Expose all the interval constraints.
- shortest_path_closure_assign();
-
- if (marked_empty()) {
- dest.set_empty();
- PPL_ASSERT(OK());
- return;
- }
-
- PPL_DIRTY_TEMP(N, tmp);
- const DB_Row<N>& dbm_0 = dbm[0];
- for (dimension_type i = space_dim; i-- > 0; ) {
- // Set the upper bound.
- const N& u = dbm_0[i+1];
- if (!is_plus_infinity(u))
- if (!dest.restrict_upper(i, u.raw_value()))
- return;
-
- // Set the lower bound.
- const N& negated_l = dbm[i+1][0];
- if (!is_plus_infinity(negated_l)) {
- neg_assign_r(tmp, negated_l, ROUND_DOWN);
- if (!dest.restrict_lower(i, tmp.raw_value()))
- return;
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-BD_Shape<T>::left_inhomogeneous_refine(const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- if (right_t == 1) {
- // The constraint has the form [a-, a+] <= [b-, b+] + [c-, c+] * x.
- // Reduce it to the constraint +/-x <= b+ - a- if [c-, c+] = +/-[1, 1].
- const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
- if (right_w_coeff == 1) {
- PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_b = right.inhomogeneous_term();
- sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
- ROUND_UP);
- add_dbm_constraint(right_w_id+1, 0, b_plus_minus_a_minus);
- return;
- }
-
- if (right_w_coeff == -1) {
- PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_b = right.inhomogeneous_term();
- sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
- ROUND_UP);
- add_dbm_constraint(0, right_w_id+1, b_plus_minus_a_minus);
- return;
- }
- }
-} // end of left_inhomogeneous_refine
-
-
-template <typename T>
-template <typename Interval_Info>
-void
-BD_Shape<T>
-::left_one_var_refine(const dimension_type& left_w_id,
- const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- if (right_t == 0) {
- // The constraint has the form [b-, b+] + [c-, c+] * x <= [a-, a+]
- // Reduce it to the constraint +/-x <= a+ - b- if [c-, c+] = +/-[1, 1].
- const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
-
- if (left_w_coeff == 1) {
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- add_dbm_constraint(0, left_w_id+1, a_plus_minus_b_minus);
- return;
- }
-
- if (left_w_coeff == -1) {
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- add_dbm_constraint(left_w_id+1, 0, a_plus_minus_b_minus);
- return;
- }
- }
- else if (right_t == 1) {
- // The constraint has the form
- // [a-, a+] + [b-, b+] * x <= [c-, c+] + [d-, d+] * y.
- // Reduce it to the constraint +/-x +/-y <= c+ - a-
- // if [b-, b+] = +/-[1, 1] and [d-, d+] = +/-[1, 1].
- const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
-
- const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
-
- bool is_left_coeff_one = (left_w_coeff == 1);
- bool is_left_coeff_minus_one = (left_w_coeff == -1);
- bool is_right_coeff_one = (right_w_coeff == 1);
- bool is_right_coeff_minus_one = (right_w_coeff == -1);
- if (left_w_id == right_w_id) {
- if ((is_left_coeff_one && is_right_coeff_one)
- ||
- (is_left_coeff_minus_one && is_right_coeff_minus_one)) {
- // Here we have an identity or a constants-only constraint.
- return;
- }
- if (is_left_coeff_one && is_right_coeff_minus_one) {
- // We fall back to a previous case.
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- div_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
- ROUND_UP);
- add_dbm_constraint(0, left_w_id + 1, a_plus_minus_b_minus);
- return;
- }
- if (is_left_coeff_minus_one && is_right_coeff_one) {
- // We fall back to a previous case.
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- div_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
- ROUND_UP);
- add_dbm_constraint(right_w_id + 1, 0, a_plus_minus_b_minus);
- return;
- }
- }
- else if (is_left_coeff_minus_one && is_right_coeff_one) {
- // over-approximate (if is it possible) the inequality
- // -B + [b1, b2] <= A + [a1, a2] by adding the constraints
- // -B <= upper_bound(A) + (a2 - b1) and
- // -A <= upper_bound(B) + (a2 - b1)
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- PPL_DIRTY_TEMP(N, ub);
- ub = dbm[0][right_w_id + 1];
- if (!is_plus_infinity(ub)) {
- add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
- add_dbm_constraint(left_w_id + 1, 0, ub);
- }
- ub = dbm[0][left_w_id + 1];
- if (!is_plus_infinity(ub)) {
- add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
- add_dbm_constraint(right_w_id + 1, 0, ub);
- }
- return;
- }
- if (is_left_coeff_one && is_right_coeff_minus_one) {
- // over-approximate (if is it possible) the inequality
- // B + [b1, b2] <= -A + [a1, a2] by adding the constraints
- // B <= upper_bound(-A) + (a2 - b1) and
- // A <= upper_bound(-B) + (a2 - b1)
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- PPL_DIRTY_TEMP(N, ub);
- ub = dbm[right_w_id + 1][0];
- if (!is_plus_infinity(ub)) {
- add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
- add_dbm_constraint(0, left_w_id + 1, ub);
- }
- ub = dbm[left_w_id + 1][0];
- if (!is_plus_infinity(ub)) {
- add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
- add_dbm_constraint(0, right_w_id + 1, ub);
- }
- return;
- }
- if (is_left_coeff_one && is_right_coeff_one) {
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_c = right.inhomogeneous_term();
- sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
- ROUND_UP);
- add_dbm_constraint(right_w_id+1, left_w_id+1, c_plus_minus_a_minus);
- return;
- }
- if (is_left_coeff_minus_one && is_right_coeff_minus_one) {
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_c = right.inhomogeneous_term();
- sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
- ROUND_UP);
- add_dbm_constraint(left_w_id+1, right_w_id+1, c_plus_minus_a_minus);
- return;
- }
- }
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-BD_Shape<T>
-::general_refine(const dimension_type& left_w_id,
- const dimension_type& right_w_id,
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
- Linear_Form<FP_Interval_Type> right_minus_left(right);
- right_minus_left -= left;
-
- // Declare temporaries outside of the loop.
- PPL_DIRTY_TEMP(N, low_coeff);
- PPL_DIRTY_TEMP(N, high_coeff);
- PPL_DIRTY_TEMP(N, upper_bound);
-
- dimension_type max_w_id = std::max(left_w_id, right_w_id);
-
- for (dimension_type first_v = 0; first_v < max_w_id; ++first_v) {
- for (dimension_type second_v = first_v+1;
- second_v <= max_w_id; ++second_v) {
- const FP_Interval_Type& lfv_coefficient =
- left.coefficient(Variable(first_v));
- const FP_Interval_Type& lsv_coefficient =
- left.coefficient(Variable(second_v));
- const FP_Interval_Type& rfv_coefficient =
- right.coefficient(Variable(first_v));
- const FP_Interval_Type& rsv_coefficient =
- right.coefficient(Variable(second_v));
- // We update the constraints only when both variables appear in at
- // least one argument.
- bool do_update = false;
- assign_r(low_coeff, lfv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lfv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0) {
- assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- else {
- assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- }
- }
- else {
- assign_r(low_coeff, rfv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rfv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0) {
- assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- else {
- assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- }
- }
- }
-
- if (do_update) {
- Variable first(first_v);
- Variable second(second_v);
- dimension_type n_first_var = first_v +1 ;
- dimension_type n_second_var = second_v + 1;
- linear_form_upper_bound(right_minus_left - first + second,
- upper_bound);
- add_dbm_constraint(n_first_var, n_second_var, upper_bound);
- linear_form_upper_bound(right_minus_left + first - second,
- upper_bound);
- add_dbm_constraint(n_second_var, n_first_var, upper_bound);
- }
- }
- }
-
- // Finally, update the unary constraints.
- for (dimension_type v = 0; v < max_w_id; ++v) {
- const FP_Interval_Type& lv_coefficient =
- left.coefficient(Variable(v));
- const FP_Interval_Type& rv_coefficient =
- right.coefficient(Variable(v));
- // We update the constraints only if v appears in at least one of the
- // two arguments.
- bool do_update = false;
- assign_r(low_coeff, lv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- else {
- assign_r(low_coeff, rv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- }
-
- if (do_update) {
- Variable var(v);
- dimension_type n_var = v + 1;
- linear_form_upper_bound(right_minus_left + var, upper_bound);
- add_dbm_constraint(0, n_var, upper_bound);
- linear_form_upper_bound(right_minus_left - var, upper_bound);
- add_dbm_constraint(n_var, 0, upper_bound);
- }
- }
-
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-BD_Shape<T>::
-linear_form_upper_bound(const Linear_Form< Interval<T, Interval_Info> >& lf,
- N& result) const {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "BD_Shape<T>::linear_form_upper_bound:"
- " T not a floating point type.");
-
- const dimension_type lf_space_dimension = lf.space_dimension();
- PPL_ASSERT(lf_space_dimension <= space_dimension());
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- PPL_DIRTY_TEMP(N, curr_lb);
- PPL_DIRTY_TEMP(N, curr_ub);
- PPL_DIRTY_TEMP(N, curr_var_ub);
- PPL_DIRTY_TEMP(N, curr_minus_var_ub);
-
- PPL_DIRTY_TEMP(N, first_comparison_term);
- PPL_DIRTY_TEMP(N, second_comparison_term);
-
- PPL_DIRTY_TEMP(N, negator);
-
- assign_r(result, lf.inhomogeneous_term().upper(), ROUND_NOT_NEEDED);
-
- for (dimension_type curr_var = 0, n_var = 0; curr_var < lf_space_dimension;
- ++curr_var) {
- n_var = curr_var + 1;
- const FP_Interval_Type& curr_coefficient =
- lf.coefficient(Variable(curr_var));
- assign_r(curr_lb, curr_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(curr_ub, curr_coefficient.upper(), ROUND_NOT_NEEDED);
- if (curr_lb != 0 || curr_ub != 0) {
- assign_r(curr_var_ub, dbm[0][n_var], ROUND_NOT_NEEDED);
- neg_assign_r(curr_minus_var_ub, dbm[n_var][0], ROUND_NOT_NEEDED);
- // Optimize the most commons cases: curr = +/-[1, 1].
- if (curr_lb == 1 && curr_ub == 1) {
- add_assign_r(result, result, std::max(curr_var_ub, curr_minus_var_ub),
- ROUND_UP);
- }
- else if (curr_lb == -1 && curr_ub == -1) {
- neg_assign_r(negator, std::min(curr_var_ub, curr_minus_var_ub),
- ROUND_NOT_NEEDED);
- add_assign_r(result, result, negator, ROUND_UP);
- }
- else {
- // Next addend will be the maximum of four quantities.
- assign_r(first_comparison_term, 0, ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- add_mul_assign_r(first_comparison_term, curr_var_ub, curr_ub,
- ROUND_UP);
- add_mul_assign_r(second_comparison_term, curr_var_ub, curr_lb,
- ROUND_UP);
- assign_r(first_comparison_term, std::max(first_comparison_term,
- second_comparison_term),
- ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_ub,
- ROUND_UP);
- assign_r(first_comparison_term, std::max(first_comparison_term,
- second_comparison_term),
- ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_lb,
- ROUND_UP);
- assign_r(first_comparison_term, std::max(first_comparison_term,
- second_comparison_term),
- ROUND_NOT_NEEDED);
-
- add_assign_r(result, result, first_comparison_term, ROUND_UP);
- }
- }
- }
-}
-
-template <typename T>
-void
-BD_Shape<T>::affine_preimage(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("affine_preimage(v, e, d)", "e", expr);
-
- // `var' should be one of the dimensions of
- // the bounded difference shapes.
- const dimension_type v = var.id() + 1;
- if (v > space_dim)
- throw_dimension_incompatible("affine_preimage(v, e, d)", var.id());
-
- // The image of an empty BDS is empty too.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- const Coefficient& b = expr.inhomogeneous_term();
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Index of the last non-zero coefficient in `expr', if any.
- dimension_type j = expr.last_nonzero();
-
- if (j != 0) {
- ++t;
- if (!expr.all_zeroes(1, j))
- ++t;
- }
-
- // Now we know the form of `expr':
- // - If t == 0, then expr = b, with `b' a constant;
- // - If t == 1, then expr = a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t > 1, the `expr' is of the general form.
- if (t == 0) {
- // Case 1: expr = n; remove all constraints on `var'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // Value of the one and only non-zero coefficient in `expr'.
- const Coefficient& a = expr.get(Variable(j - 1));
- if (a == denominator || a == -denominator) {
- // Case 2: expr = a*w + b, with a = +/- denominator.
- if (j == var.space_dimension())
- // Apply affine_image() on the inverse of this transformation.
- affine_image(var, denominator*var - b, a);
- else {
- // `expr == a*w + b', where `w != v'.
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- PPL_ASSERT(OK());
- }
- return;
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr = a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t = 1, expr = a*w + b, but a <> +/- denominator.
- const Coefficient& expr_v = expr.coefficient(var);
- if (expr_v != 0) {
- // The transformation is invertible.
- Linear_Expression inverse((expr_v + denominator)*var);
- inverse -= expr;
- affine_image(var, inverse, expr_v);
- }
- else {
- // Transformation not invertible: all constraints on `var' are lost.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>
-::bounded_affine_image(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // `var' should be one of the dimensions of the BD_Shape.
- const dimension_type bds_space_dim = space_dimension();
- const dimension_type v = var.id() + 1;
- if (v > bds_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "v", var);
- // The dimension of `lb_expr' and `ub_expr' should not be
- // greater than the dimension of `*this'.
- const dimension_type lb_space_dim = lb_expr.space_dimension();
- if (bds_space_dim < lb_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "lb", lb_expr);
- const dimension_type ub_space_dim = ub_expr.space_dimension();
- if (bds_space_dim < ub_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "ub", ub_expr);
-
- // Any image of an empty BDS is empty.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- const Coefficient& b = ub_expr.inhomogeneous_term();
- // Number of non-zero coefficients in `ub_expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Index of the last non-zero coefficient in `ub_expr', if any.
- dimension_type w = ub_expr.last_nonzero();
-
- if (w != 0) {
- ++t;
- if (!ub_expr.all_zeroes(1, w))
- ++t;
- }
-
- // Now we know the form of `ub_expr':
- // - If t == 0, then ub_expr == b, with `b' a constant;
- // - If t == 1, then ub_expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `ub_expr' is of the general form.
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign(minus_denom, denominator);
-
- if (t == 0) {
- // Case 1: ub_expr == b.
- generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
- // Add the constraint `var <= b/denominator'.
- add_dbm_constraint(0, v, b, denominator);
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // Value of the one and only non-zero coefficient in `ub_expr'.
- const Coefficient& a = ub_expr.get(Variable(w - 1));
- if (a == denominator || a == minus_denom) {
- // Case 2: expr == a*w + b, with a == +/- denominator.
- if (w == v) {
- // Here `var' occurs in `ub_expr'.
- // To ease the computation, we add an additional dimension.
- const Variable new_var(bds_space_dim);
- add_space_dimensions_and_embed(1);
- // Constrain the new dimension to be equal to `ub_expr'.
- affine_image(new_var, ub_expr, denominator);
- // NOTE: enforce shortest-path closure for precision.
- shortest_path_closure_assign();
- PPL_ASSERT(!marked_empty());
- // Apply the affine lower bound.
- generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
- // Now apply the affine upper bound, as recorded in `new_var'.
- add_constraint(var <= new_var);
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(bds_space_dim);
- return;
- }
- else {
- // Here `w != v', so that `expr' is of the form
- // +/-denominator * w + b.
- // Apply the affine lower bound.
- generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
- if (a == denominator) {
- // Add the new constraint `v - w == b/denominator'.
- add_dbm_constraint(w, v, b, denominator);
- }
- else {
- // Here a == -denominator, so that we should be adding
- // the constraint `v + w == b/denominator'.
- // Approximate it by computing lower and upper bounds for `w'.
- const N& dbm_w0 = dbm[w][0];
- if (!is_plus_infinity(dbm_w0)) {
- // Add the constraint `v <= b/denominator - lower_w'.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- add_assign_r(dbm[0][v], d, dbm_w0, ROUND_UP);
- reset_shortest_path_closed();
- }
- }
- PPL_ASSERT(OK());
- return;
- }
- }
- }
-
- // General case.
- // Either t == 2, so that
- // ub_expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t == 1, ub_expr == a*w + b, but a <> +/- denominator.
- // We will remove all the constraints on `var' and add back
- // constraints providing upper and lower bounds for `var'.
-
- // Compute upper approximations for `ub_expr' into `pos_sum'
- // taking into account the sign of `denominator'.
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -ub_expr;
- const Linear_Expression& sc_expr = is_sc ? ub_expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, pos_sum);
- // Index of the variable that are unbounded in `this->dbm'.
- PPL_UNINITIALIZED(dimension_type, pos_pinf_index);
- // Number of unbounded variables found.
- dimension_type pos_pinf_count = 0;
-
- // Approximate the inhomogeneous term.
- assign_r(pos_sum, sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- const DB_Row<N>& dbm_0 = dbm[0];
- // Speculative allocation of temporaries to be used in the following loop.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const Coefficient& sc_i = *i;
- const dimension_type i_dim = i.variable().space_dimension();
- const int sign_i = sgn(sc_i);
- if (sign_i > 0) {
- assign_r(coeff_i, sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pos_pinf_count <= 1) {
- const N& up_approx_i = dbm_0[i_dim];
- if (!is_plus_infinity(up_approx_i))
- add_mul_assign_r(pos_sum, coeff_i, up_approx_i, ROUND_UP);
- else {
- ++pos_pinf_count;
- pos_pinf_index = i_dim;
- }
- }
- }
- else {
- PPL_ASSERT(sign_i < 0);
- neg_assign(minus_sc_i, sc_i);
- // Note: using temporary named `coeff_i' to store -coeff_i.
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pos_pinf_count <= 1) {
- const N& up_approx_minus_i = dbm[i_dim][0];
- if (!is_plus_infinity(up_approx_minus_i))
- add_mul_assign_r(pos_sum, coeff_i, up_approx_minus_i, ROUND_UP);
- else {
- ++pos_pinf_count;
- pos_pinf_index = i_dim;
- }
- }
- }
- }
- // Apply the affine lower bound.
- generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
- // Return immediately if no approximation could be computed.
- if (pos_pinf_count > 1) {
- return;
- }
-
- // In the following, shortest-path closure will be definitely lost.
- reset_shortest_path_closed();
-
- // Exploit the upper approximation, if possible.
- if (pos_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(pos_sum, pos_sum, down_sc_denom, ROUND_UP);
- }
- // Add the upper bound constraint, if meaningful.
- if (pos_pinf_count == 0) {
- // Add the constraint `v <= pos_sum'.
- dbm[0][v] = pos_sum;
- // Deduce constraints of the form `v - u', where `u != v'.
- deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, pos_sum);
- }
- else
- // Here `pos_pinf_count == 1'.
- if (pos_pinf_index != v
- && sc_expr.get(Variable(pos_pinf_index - 1)) == sc_denom)
- // Add the constraint `v - pos_pinf_index <= pos_sum'.
- dbm[pos_pinf_index][v] = pos_sum;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>
-::bounded_affine_preimage(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // `var' should be one of the dimensions of the BD_Shape.
- const dimension_type space_dim = space_dimension();
- const dimension_type v = var.id() + 1;
- if (v > space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "v", var);
- // The dimension of `lb_expr' and `ub_expr' should not be
- // greater than the dimension of `*this'.
- const dimension_type lb_space_dim = lb_expr.space_dimension();
- if (space_dim < lb_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "lb", lb_expr);
- const dimension_type ub_space_dim = ub_expr.space_dimension();
- if (space_dim < ub_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "ub", ub_expr);
-
- // Any preimage of an empty BDS is empty.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- if (ub_expr.coefficient(var) == 0) {
- refine(var, LESS_OR_EQUAL, ub_expr, denominator);
- generalized_affine_preimage(var, GREATER_OR_EQUAL,
- lb_expr, denominator);
- return;
- }
- if (lb_expr.coefficient(var) == 0) {
- refine(var, GREATER_OR_EQUAL, lb_expr, denominator);
- generalized_affine_preimage(var, LESS_OR_EQUAL,
- ub_expr, denominator);
- return;
- }
-
- const Coefficient& lb_expr_v = lb_expr.coefficient(var);
- // Here `var' occurs in `lb_expr' and `ub_expr'.
- // To ease the computation, we add an additional dimension.
- const Variable new_var(space_dim);
- add_space_dimensions_and_embed(1);
- const Linear_Expression lb_inverse
- = lb_expr - (lb_expr_v + denominator)*var;
- PPL_DIRTY_TEMP_COEFFICIENT(lb_inverse_denom);
- neg_assign(lb_inverse_denom, lb_expr_v);
- affine_image(new_var, lb_inverse, lb_inverse_denom);
- shortest_path_closure_assign();
- PPL_ASSERT(!marked_empty());
- generalized_affine_preimage(var, LESS_OR_EQUAL,
- ub_expr, denominator);
- if (sgn(denominator) == sgn(lb_inverse_denom))
- add_constraint(var >= new_var);
- else
- add_constraint(var <= new_var);
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(space_dim);
-}
-
-template <typename T>
-void
-BD_Shape<T>::generalized_affine_image(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "e", expr);
-
- // `var' should be one of the dimensions of the BDS.
- const dimension_type v = var.id() + 1;
- if (v > space_dim)
- throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- var.id());
-
- // The relation symbol cannot be a strict relation symbol.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is the disequality relation symbol");
-
- if (relsym == EQUAL) {
- // The relation symbol is "=":
- // this is just an affine image computation.
- affine_image(var, expr, denominator);
- return;
- }
-
- // The image of an empty BDS is empty too.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- const Coefficient& b = expr.inhomogeneous_term();
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Index of the last non-zero coefficient in `expr', if any.
- dimension_type w = expr.last_nonzero();
-
- if (w != 0) {
- ++t;
- if (!expr.all_zeroes(1, w))
- ++t;
- }
-
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `expr' is of the general form.
- DB_Row<N>& dbm_0 = dbm[0];
- DB_Row<N>& dbm_v = dbm[v];
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign(minus_denom, denominator);
-
- if (t == 0) {
- // Case 1: expr == b.
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(v);
- // Both shortest-path closure and reduction are lost.
- reset_shortest_path_closed();
- switch (relsym) {
- case LESS_OR_EQUAL:
- // Add the constraint `var <= b/denominator'.
- add_dbm_constraint(0, v, b, denominator);
- break;
- case GREATER_OR_EQUAL:
- // Add the constraint `var >= b/denominator',
- // i.e., `-var <= -b/denominator',
- add_dbm_constraint(v, 0, b, minus_denom);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // Value of the one and only non-zero coefficient in `expr'.
- const Coefficient& a = expr.get(Variable(w - 1));
- if (a == denominator || a == minus_denom) {
- // Case 2: expr == a*w + b, with a == +/- denominator.
- PPL_DIRTY_TEMP(N, d);
- switch (relsym) {
- case LESS_OR_EQUAL:
- div_round_up(d, b, denominator);
- if (w == v) {
- // `expr' is of the form: a*v + b.
- // Shortest-path closure and reduction are not preserved.
- reset_shortest_path_closed();
- if (a == denominator) {
- // Translate each constraint `v - w <= dbm_wv'
- // into the constraint `v - w <= dbm_wv + b/denominator';
- // forget each constraint `w - v <= dbm_vw'.
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- N& dbm_iv = dbm[i][v];
- add_assign_r(dbm_iv, dbm_iv, d, ROUND_UP);
- assign_r(dbm_v[i], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- else {
- // Here `a == -denominator'.
- // Translate the constraint `0 - v <= dbm_v0'
- // into the constraint `0 - v <= dbm_v0 + b/denominator'.
- N& dbm_v0 = dbm_v[0];
- add_assign_r(dbm_0[v], dbm_v0, d, ROUND_UP);
- // Forget all the other constraints on `v'.
- assign_r(dbm_v0, PLUS_INFINITY, ROUND_NOT_NEEDED);
- forget_binary_dbm_constraints(v);
- }
- }
- else {
- // Here `w != v', so that `expr' is of the form
- // +/-denominator * w + b, with `w != v'.
- // Remove all constraints on `v'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- if (a == denominator)
- // Add the new constraint `v - w <= b/denominator'.
- add_dbm_constraint(w, v, d);
- else {
- // Here a == -denominator, so that we should be adding
- // the constraint `v <= b/denominator - w'.
- // Approximate it by computing a lower bound for `w'.
- const N& dbm_w0 = dbm[w][0];
- if (!is_plus_infinity(dbm_w0)) {
- // Add the constraint `v <= b/denominator - lb_w'.
- add_assign_r(dbm_0[v], d, dbm_w0, ROUND_UP);
- // Shortest-path closure is not preserved.
- reset_shortest_path_closed();
- }
- }
- }
- break;
-
- case GREATER_OR_EQUAL:
- div_round_up(d, b, minus_denom);
- if (w == v) {
- // `expr' is of the form: a*w + b.
- // Shortest-path closure and reduction are not preserved.
- reset_shortest_path_closed();
- if (a == denominator) {
- // Translate each constraint `w - v <= dbm_vw'
- // into the constraint `w - v <= dbm_vw - b/denominator';
- // forget each constraint `v - w <= dbm_wv'.
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- N& dbm_vi = dbm_v[i];
- add_assign_r(dbm_vi, dbm_vi, d, ROUND_UP);
- assign_r(dbm[i][v], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- else {
- // Here `a == -denominator'.
- // Translate the constraint `0 - v <= dbm_v0'
- // into the constraint `0 - v <= dbm_0v - b/denominator'.
- N& dbm_0v = dbm_0[v];
- add_assign_r(dbm_v[0], dbm_0v, d, ROUND_UP);
- // Forget all the other constraints on `v'.
- assign_r(dbm_0v, PLUS_INFINITY, ROUND_NOT_NEEDED);
- forget_binary_dbm_constraints(v);
- }
- }
- else {
- // Here `w != v', so that `expr' is of the form
- // +/-denominator * w + b, with `w != v'.
- // Remove all constraints on `v'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- if (a == denominator)
- // Add the new constraint `v - w >= b/denominator',
- // i.e., `w - v <= -b/denominator'.
- add_dbm_constraint(v, w, d);
- else {
- // Here a == -denominator, so that we should be adding
- // the constraint `v >= -w + b/denominator',
- // i.e., `-v <= w - b/denominator'.
- // Approximate it by computing an upper bound for `w'.
- const N& dbm_0w = dbm_0[w];
- if (!is_plus_infinity(dbm_0w)) {
- // Add the constraint `-v <= ub_w - b/denominator'.
- add_assign_r(dbm_v[0], dbm_0w, d, ROUND_UP);
- // Shortest-path closure is not preserved.
- reset_shortest_path_closed();
- }
- }
- }
- break;
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- PPL_ASSERT(OK());
- return;
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t == 1, expr == a*w + b, but a <> +/- denominator.
- // We will remove all the constraints on `v' and add back
- // a constraint providing an upper or a lower bound for `v'
- // (depending on `relsym').
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -expr;
- const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, sum);
- // Index of variable that is unbounded in `this->dbm'.
- PPL_UNINITIALIZED(dimension_type, pinf_index);
- // Number of unbounded variables found.
- dimension_type pinf_count = 0;
-
- // Speculative allocation of temporaries to be used in the following loops.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
-
- switch (relsym) {
- case LESS_OR_EQUAL:
- // Compute an upper approximation for `sc_expr' into `sum'.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, sc_b, ROUND_UP);
- // Approximate the homogeneous part of `sc_expr'.
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- PPL_ASSERT(w != 0);
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const Coefficient& sc_i = *i;
- const dimension_type i_dim = i.variable().space_dimension();
- const int sign_i = sgn(sc_i);
- PPL_ASSERT(sign_i != 0);
- // Choose carefully: we are approximating `sc_expr'.
- const N& approx_i = (sign_i > 0) ? dbm_0[i_dim] : dbm[i_dim][0];
- if (is_plus_infinity(approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = i_dim;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
-
- // Remove all constraints on `v'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- // Return immediately if no approximation could be computed.
- if (pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v <= sum'.
- add_dbm_constraint(0, v, sum);
- // Deduce constraints of the form `v - u', where `u != v'.
- deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1)
- if (pinf_index != v && expr.get(Variable(pinf_index - 1)) == denominator)
- // Add the constraint `v - pinf_index <= sum'.
- add_dbm_constraint(pinf_index, v, sum);
- break;
-
- case GREATER_OR_EQUAL:
- // Compute an upper approximation for `-sc_expr' into `sum'.
- // Note: approximating `-sc_expr' from above and then negating the
- // result is the same as approximating `sc_expr' from below.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, minus_sc_b, ROUND_UP);
- // Approximate the homogeneous part of `-sc_expr'.
- for (Linear_Expression::const_iterator i = sc_expr.begin(),
- i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
- const Coefficient& sc_i = *i;
- const int sign_i = sgn(sc_i);
- PPL_ASSERT(sign_i != 0);
- const dimension_type i_dim = i.variable().space_dimension();
- // Choose carefully: we are approximating `-sc_expr'.
- const N& approx_i = (sign_i > 0) ? dbm[i_dim][0] : dbm_0[i_dim];
- if (is_plus_infinity(approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = i_dim;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
-
- // Remove all constraints on `var'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- // Return immediately if no approximation could be computed.
- if (pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v >= -sum', i.e., `-v <= sum'.
- add_dbm_constraint(v, 0, sum);
- // Deduce constraints of the form `u - v', where `u != v'.
- deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1)
- if (pinf_index != v && expr.get(Variable(pinf_index - 1)) == denominator)
- // Add the constraint `v - pinf_index >= -sum',
- // i.e., `pinf_index - v <= sum'.
- add_dbm_constraint(v, pinf_index, sum);
- break;
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- // Dimension-compatibility checks.
- // The dimension of `lhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type lhs_space_dim = lhs.space_dimension();
- if (space_dim < lhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
-
- // The dimension of `rhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type rhs_space_dim = rhs.space_dimension();
- if (space_dim < rhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
-
- // Strict relation symbols are not admitted for BDSs.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is the disequality relation symbol");
-
- // The image of an empty BDS is empty.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lhs': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t_lhs = 0;
- // Index of the last non-zero coefficient in `lhs', if any.
- dimension_type j_lhs = lhs.last_nonzero();
-
- if (j_lhs != 0) {
- ++t_lhs;
- if (!lhs.all_zeroes(1, j_lhs))
- ++t_lhs;
- --j_lhs;
- }
-
- const Coefficient& b_lhs = lhs.inhomogeneous_term();
-
- if (t_lhs == 0) {
- // `lhs' is a constant.
- // In principle, it is sufficient to add the constraint `lhs relsym rhs'.
- // Note that this constraint is a bounded difference if `t_rhs <= 1'
- // or `t_rhs > 1' and `rhs == a*v - a*w + b_rhs'. If `rhs' is of a
- // more general form, it will be simply ignored.
- // TODO: if it is not a bounded difference, should we compute
- // approximations for this constraint?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= rhs);
- break;
- case EQUAL:
- refine_no_check(lhs == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
- else if (t_lhs == 1) {
- // Here `lhs == a_lhs * v + b_lhs'.
- // Independently from the form of `rhs', we can exploit the
- // method computing generalized affine images for a single variable.
- Variable v(j_lhs);
- // Compute a sign-corrected relation symbol.
- const Coefficient& denom = lhs.coefficient(v);
- Relation_Symbol new_relsym = relsym;
- if (denom < 0) {
- if (relsym == LESS_OR_EQUAL)
- new_relsym = GREATER_OR_EQUAL;
- else if (relsym == GREATER_OR_EQUAL)
- new_relsym = LESS_OR_EQUAL;
- }
- Linear_Expression expr = rhs - b_lhs;
- generalized_affine_image(v, new_relsym, expr, denom);
- }
- else {
- // Here `lhs' is of the general form, having at least two variables.
- // Compute the set of variables occurring in `lhs'.
- std::vector<Variable> lhs_vars;
- for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
- i != i_end; ++i)
- lhs_vars.push_back(i.variable());
-
- const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
- if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
- // `lhs' and `rhs' variables are disjoint.
- // Existentially quantify all variables in the lhs.
- for (dimension_type i = lhs_vars.size(); i-- > 0; )
- forget_all_dbm_constraints(lhs_vars[i].id() + 1);
- // Constrain the left hand side expression so that it is related to
- // the right hand side expression as dictated by `relsym'.
- // TODO: if the following constraint is NOT a bounded difference,
- // it will be simply ignored. Should we compute approximations for it?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= rhs);
- break;
- case EQUAL:
- refine_no_check(lhs == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
- else {
- // Some variables in `lhs' also occur in `rhs'.
-
-#if 1 // Simplified computation (see the TODO note below).
-
- for (dimension_type i = lhs_vars.size(); i-- > 0; )
- forget_all_dbm_constraints(lhs_vars[i].id() + 1);
-
-#else // Currently unnecessarily complex computation.
-
- // More accurate computation that is worth doing only if
- // the following TODO note is accurately dealt with.
-
- // To ease the computation, we add an additional dimension.
- const Variable new_var(space_dim);
- add_space_dimensions_and_embed(1);
- // Constrain the new dimension to be equal to `rhs'.
- // NOTE: calling affine_image() instead of refine_no_check()
- // ensures some approximation is tried even when the constraint
- // is not a bounded difference.
- affine_image(new_var, rhs);
- // Existentially quantify all variables in the lhs.
- // NOTE: enforce shortest-path closure for precision.
- shortest_path_closure_assign();
- PPL_ASSERT(!marked_empty());
- for (dimension_type i = lhs_vars.size(); i-- > 0; )
- forget_all_dbm_constraints(lhs_vars[i].id() + 1);
- // Constrain the new dimension so that it is related to
- // the left hand side as dictated by `relsym'.
- // TODO: each one of the following constraints is definitely NOT
- // a bounded differences (since it has 3 variables at least).
- // Thus, the method refine_no_check() will simply ignore it.
- // Should we compute approximations for this constraint?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= new_var);
- break;
- case EQUAL:
- refine_no_check(lhs == new_var);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= new_var);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(space_dim-1);
-#endif // Currently unnecessarily complex computation.
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::generalized_affine_preimage(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "e", expr);
-
- // `var' should be one of the dimensions of the BDS.
- const dimension_type v = var.id() + 1;
- if (v > space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- var.id());
-
- // The relation symbol cannot be a strict relation symbol.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is the disequality relation symbol");
-
- if (relsym == EQUAL) {
- // The relation symbol is "=":
- // this is just an affine preimage computation.
- affine_preimage(var, expr, denominator);
- return;
- }
-
- // The preimage of an empty BDS is empty too.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- // Check whether the preimage of this affine relation can be easily
- // computed as the image of its inverse relation.
- const Coefficient& expr_v = expr.coefficient(var);
- if (expr_v != 0) {
- const Relation_Symbol reversed_relsym = (relsym == LESS_OR_EQUAL)
- ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
- const Linear_Expression inverse
- = expr - (expr_v + denominator)*var;
- PPL_DIRTY_TEMP_COEFFICIENT(inverse_denom);
- neg_assign(inverse_denom, expr_v);
- const Relation_Symbol inverse_relsym
- = (sgn(denominator) == sgn(inverse_denom)) ? relsym : reversed_relsym;
- generalized_affine_image(var, inverse_relsym, inverse, inverse_denom);
- return;
- }
-
- refine(var, relsym, expr, denominator);
- // If the shrunk BD_Shape is empty, its preimage is empty too; ...
- if (is_empty())
- return;
- // ... otherwise, since the relation was not invertible,
- // we just forget all constraints on `v'.
- forget_all_dbm_constraints(v);
- // Shortest-path closure is preserved, but not reduction.
- if (marked_shortest_path_reduced())
- reset_shortest_path_reduced();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- // Dimension-compatibility checks.
- // The dimension of `lhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type bds_space_dim = space_dimension();
- const dimension_type lhs_space_dim = lhs.space_dimension();
- if (bds_space_dim < lhs_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
- "e1", lhs);
-
- // The dimension of `rhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type rhs_space_dim = rhs.space_dimension();
- if (bds_space_dim < rhs_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
- "e2", rhs);
-
- // Strict relation symbols are not admitted for BDSs.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
- "r is the disequality relation symbol");
-
- // The preimage of an empty BDS is empty.
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lhs': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t_lhs = 0;
- // Index of the last non-zero coefficient in `lhs', if any.
- dimension_type j_lhs = lhs.last_nonzero();
-
- if (j_lhs != 0) {
- ++t_lhs;
- if (!lhs.all_zeroes(1, j_lhs))
- ++t_lhs;
- --j_lhs;
- }
-
- const Coefficient& b_lhs = lhs.inhomogeneous_term();
-
- if (t_lhs == 0) {
- // `lhs' is a constant.
- // In this case, preimage and image happen to be the same.
- generalized_affine_image(lhs, relsym, rhs);
- return;
- }
- else if (t_lhs == 1) {
- // Here `lhs == a_lhs * v + b_lhs'.
- // Independently from the form of `rhs', we can exploit the
- // method computing generalized affine preimages for a single variable.
- Variable v(j_lhs);
- // Compute a sign-corrected relation symbol.
- const Coefficient& denom = lhs.coefficient(v);
- Relation_Symbol new_relsym = relsym;
- if (denom < 0) {
- if (relsym == LESS_OR_EQUAL)
- new_relsym = GREATER_OR_EQUAL;
- else if (relsym == GREATER_OR_EQUAL)
- new_relsym = LESS_OR_EQUAL;
- }
- Linear_Expression expr = rhs - b_lhs;
- generalized_affine_preimage(v, new_relsym, expr, denom);
- }
- else {
- // Here `lhs' is of the general form, having at least two variables.
- // Compute the set of variables occurring in `lhs'.
- std::vector<Variable> lhs_vars;
- for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
- i != i_end; ++i)
- lhs_vars.push_back(i.variable());
-
- const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
- if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
- // `lhs' and `rhs' variables are disjoint.
-
- // Constrain the left hand side expression so that it is related to
- // the right hand side expression as dictated by `relsym'.
- // TODO: if the following constraint is NOT a bounded difference,
- // it will be simply ignored. Should we compute approximations for it?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= rhs);
- break;
- case EQUAL:
- refine_no_check(lhs == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
-
- // If the shrunk BD_Shape is empty, its preimage is empty too; ...
- if (is_empty())
- return;
- // Existentially quantify all variables in the lhs.
- for (dimension_type i = lhs_vars.size(); i-- > 0; )
- forget_all_dbm_constraints(lhs_vars[i].id() + 1);
- }
- else {
-
- // Some variables in `lhs' also occur in `rhs'.
- // To ease the computation, we add an additional dimension.
- const Variable new_var(bds_space_dim);
- add_space_dimensions_and_embed(1);
- // Constrain the new dimension to be equal to `lhs'.
- // NOTE: calling affine_image() instead of refine_no_check()
- // ensures some approximation is tried even when the constraint
- // is not a bounded difference.
- affine_image(new_var, lhs);
- // Existentiallly quantify all variables in the lhs.
- // NOTE: enforce shortest-path closure for precision.
- shortest_path_closure_assign();
- PPL_ASSERT(!marked_empty());
- for (dimension_type i = lhs_vars.size(); i-- > 0; )
- forget_all_dbm_constraints(lhs_vars[i].id() + 1);
- // Constrain the new dimension so that it is related to
- // the left hand side as dictated by `relsym'.
- // Note: if `rhs == a_rhs*v + b_rhs' where `a_rhs' is in {0, 1},
- // then one of the following constraints will be added,
- // since it is a bounded difference. Else the method
- // refine_no_check() will ignore it, because the
- // constraint is NOT a bounded difference.
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(new_var <= rhs);
- break;
- case EQUAL:
- refine_no_check(new_var == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(new_var >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(bds_space_dim);
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-Constraint_System
-BD_Shape<T>::constraints() const {
- const dimension_type space_dim = space_dimension();
- Constraint_System cs;
- cs.set_space_dimension(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cs = Constraint_System::zero_dim_empty();
- return cs;
- }
-
- if (marked_empty()) {
- cs.insert(Constraint::zero_dim_false());
- return cs;
- }
-
- if (marked_shortest_path_reduced()) {
- // Disregard redundant constraints.
- cs = minimized_constraints();
- return cs;
- }
-
- PPL_DIRTY_TEMP_COEFFICIENT(a);
- PPL_DIRTY_TEMP_COEFFICIENT(b);
- // Go through all the unary constraints in `dbm'.
- const DB_Row<N>& dbm_0 = dbm[0];
- for (dimension_type j = 1; j <= space_dim; ++j) {
- const Variable x(j-1);
- const N& dbm_0j = dbm_0[j];
- const N& dbm_j0 = dbm[j][0];
- if (is_additive_inverse(dbm_j0, dbm_0j)) {
- // We have a unary equality constraint.
- numer_denom(dbm_0j, b, a);
- cs.insert(a*x == b);
- }
- else {
- // We have 0, 1 or 2 unary inequality constraints.
- if (!is_plus_infinity(dbm_0j)) {
- numer_denom(dbm_0j, b, a);
- cs.insert(a*x <= b);
- }
- if (!is_plus_infinity(dbm_j0)) {
- numer_denom(dbm_j0, b, a);
- cs.insert(-a*x <= b);
- }
- }
- }
-
- // Go through all the binary constraints in `dbm'.
- for (dimension_type i = 1; i <= space_dim; ++i) {
- const Variable y(i-1);
- const DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = i + 1; j <= space_dim; ++j) {
- const Variable x(j-1);
- const N& dbm_ij = dbm_i[j];
- const N& dbm_ji = dbm[j][i];
- if (is_additive_inverse(dbm_ji, dbm_ij)) {
- // We have a binary equality constraint.
- numer_denom(dbm_ij, b, a);
- cs.insert(a*x - a*y == b);
- }
- else {
- // We have 0, 1 or 2 binary inequality constraints.
- if (!is_plus_infinity(dbm_ij)) {
- numer_denom(dbm_ij, b, a);
- cs.insert(a*x - a*y <= b);
- }
- if (!is_plus_infinity(dbm_ji)) {
- numer_denom(dbm_ji, b, a);
- cs.insert(a*y - a*x <= b);
- }
- }
- }
- }
- return cs;
-}
-
-template <typename T>
-Constraint_System
-BD_Shape<T>::minimized_constraints() const {
- shortest_path_reduction_assign();
- const dimension_type space_dim = space_dimension();
- Constraint_System cs;
- cs.set_space_dimension(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cs = Constraint_System::zero_dim_empty();
- return cs;
- }
-
- if (marked_empty()) {
- cs.insert(Constraint::zero_dim_false());
- return cs;
- }
-
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
-
- // Compute leader information.
- std::vector<dimension_type> leaders;
- compute_leaders(leaders);
- std::vector<dimension_type> leader_indices;
- compute_leader_indices(leaders, leader_indices);
- const dimension_type num_leaders = leader_indices.size();
-
- // Go through the non-leaders to generate equality constraints.
- const DB_Row<N>& dbm_0 = dbm[0];
- for (dimension_type i = 1; i <= space_dim; ++i) {
- const dimension_type leader = leaders[i];
- if (i != leader) {
- // Generate the constraint relating `i' and its leader.
- if (leader == 0) {
- // A unary equality has to be generated.
- PPL_ASSERT(!is_plus_infinity(dbm_0[i]));
- numer_denom(dbm_0[i], numer, denom);
- cs.insert(denom*Variable(i-1) == numer);
- }
- else {
- // A binary equality has to be generated.
- PPL_ASSERT(!is_plus_infinity(dbm[i][leader]));
- numer_denom(dbm[i][leader], numer, denom);
- cs.insert(denom*Variable(leader-1) - denom*Variable(i-1) == numer);
- }
- }
- }
-
- // Go through the leaders to generate inequality constraints.
- // First generate all the unary inequalities.
- const Bit_Row& red_0 = redundancy_dbm[0];
- for (dimension_type l_i = 1; l_i < num_leaders; ++l_i) {
- const dimension_type i = leader_indices[l_i];
- if (!red_0[i]) {
- numer_denom(dbm_0[i], numer, denom);
- cs.insert(denom*Variable(i-1) <= numer);
- }
- if (!redundancy_dbm[i][0]) {
- numer_denom(dbm[i][0], numer, denom);
- cs.insert(-denom*Variable(i-1) <= numer);
- }
- }
- // Then generate all the binary inequalities.
- for (dimension_type l_i = 1; l_i < num_leaders; ++l_i) {
- const dimension_type i = leader_indices[l_i];
- const DB_Row<N>& dbm_i = dbm[i];
- const Bit_Row& red_i = redundancy_dbm[i];
- for (dimension_type l_j = l_i + 1; l_j < num_leaders; ++l_j) {
- const dimension_type j = leader_indices[l_j];
- if (!red_i[j]) {
- numer_denom(dbm_i[j], numer, denom);
- cs.insert(denom*Variable(j-1) - denom*Variable(i-1) <= numer);
- }
- if (!redundancy_dbm[j][i]) {
- numer_denom(dbm[j][i], numer, denom);
- cs.insert(denom*Variable(i-1) - denom*Variable(j-1) <= numer);
- }
- }
- }
- return cs;
-}
-
-template <typename T>
-void
-BD_Shape<T>::expand_space_dimension(Variable var, dimension_type m) {
- dimension_type old_dim = space_dimension();
- // `var' should be one of the dimensions of the vector space.
- if (var.space_dimension() > old_dim)
- throw_dimension_incompatible("expand_space_dimension(v, m)", "v", var);
-
- // The space dimension of the resulting BDS should not
- // overflow the maximum allowed space dimension.
- if (m > max_space_dimension() - space_dimension())
- throw_invalid_argument("expand_dimension(v, m)",
- "adding m new space dimensions exceeds "
- "the maximum allowed space dimension");
-
- // Nothing to do, if no dimensions must be added.
- if (m == 0)
- return;
-
- // Add the required new dimensions.
- add_space_dimensions_and_embed(m);
-
- // For each constraints involving variable `var', we add a
- // similar constraint with the new variable substituted for
- // variable `var'.
- const dimension_type v_id = var.id() + 1;
- const DB_Row<N>& dbm_v = dbm[v_id];
- for (dimension_type i = old_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- const N& dbm_i_v = dbm[i][v_id];
- const N& dbm_v_i = dbm_v[i];
- for (dimension_type j = old_dim+1; j < old_dim+m+1; ++j) {
- dbm_i[j] = dbm_i_v;
- dbm[j][i] = dbm_v_i;
- }
- }
- // In general, adding a constraint does not preserve the shortest-path
- // closure or reduction of the bounded difference shape.
- if (marked_shortest_path_closed())
- reset_shortest_path_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
- Variable dest) {
- const dimension_type space_dim = space_dimension();
- // `dest' should be one of the dimensions of the BDS.
- if (dest.space_dimension() > space_dim)
- throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- "v", dest);
-
- // The folding of no dimensions is a no-op.
- if (vars.empty())
- return;
-
- // All variables in `vars' should be dimensions of the BDS.
- if (vars.space_dimension() > space_dim)
- throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- vars.space_dimension());
-
- // Moreover, `dest.id()' should not occur in `vars'.
- if (vars.find(dest.id()) != vars.end())
- throw_invalid_argument("fold_space_dimensions(vs, v)",
- "v should not occur in vs");
-
- shortest_path_closure_assign();
- if (!marked_empty()) {
- // Recompute the elements of the row and the column corresponding
- // to variable `dest' by taking the join of their value with the
- // value of the corresponding elements in the row and column of the
- // variable `vars'.
- const dimension_type v_id = dest.id() + 1;
- DB_Row<N>& dbm_v = dbm[v_id];
- for (Variables_Set::const_iterator i = vars.begin(),
- vs_end = vars.end(); i != vs_end; ++i) {
- const dimension_type to_be_folded_id = *i + 1;
- const DB_Row<N>& dbm_to_be_folded_id = dbm[to_be_folded_id];
- for (dimension_type j = space_dim + 1; j-- > 0; ) {
- max_assign(dbm[j][v_id], dbm[j][to_be_folded_id]);
- max_assign(dbm_v[j], dbm_to_be_folded_id[j]);
- }
- }
- }
- remove_space_dimensions(vars);
-}
-
-template <typename T>
-void
-BD_Shape<T>::drop_some_non_integer_points(Complexity_Class) {
- if (std::numeric_limits<T>::is_integer)
- return;
-
- const dimension_type space_dim = space_dimension();
- shortest_path_closure_assign();
- if (space_dim == 0 || marked_empty())
- return;
-
- for (dimension_type i = space_dim + 1; i-- > 0; ) {
- DB_Row<N>& dbm_i = dbm[i];
- for (dimension_type j = space_dim + 1; j-- > 0; )
- if (i != j)
- drop_some_non_integer_points_helper(dbm_i[j]);
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-BD_Shape<T>::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class) {
- // Dimension-compatibility check.
- const dimension_type space_dim = space_dimension();
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dim < min_space_dim)
- throw_dimension_incompatible("drop_some_non_integer_points(vs, cmpl)",
- min_space_dim);
-
- if (std::numeric_limits<T>::is_integer || min_space_dim == 0)
- return;
-
- shortest_path_closure_assign();
- if (marked_empty())
- return;
-
- const Variables_Set::const_iterator v_begin = vars.begin();
- const Variables_Set::const_iterator v_end = vars.end();
- PPL_ASSERT(v_begin != v_end);
- // Unary constraints on a variable occurring in `vars'.
- DB_Row<N>& dbm_0 = dbm[0];
- for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
- const dimension_type i = *v_i + 1;
- drop_some_non_integer_points_helper(dbm_0[i]);
- drop_some_non_integer_points_helper(dbm[i][0]);
- }
-
- // Binary constraints where both variables occur in `vars'.
- for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
- const dimension_type i = *v_i + 1;
- DB_Row<N>& dbm_i = dbm[i];
- for (Variables_Set::const_iterator v_j = v_begin; v_j != v_end; ++v_j) {
- const dimension_type j = *v_j + 1;
- if (i != j)
- drop_some_non_integer_points_helper(dbm_i[j]);
- }
- }
- PPL_ASSERT(OK());
-}
-
-/*! \relates Parma_Polyhedra_Library::BD_Shape */
-template <typename T>
-std::ostream&
-IO_Operators::operator<<(std::ostream& s, const BD_Shape<T>& bds) {
- typedef typename BD_Shape<T>::coefficient_type N;
- if (bds.is_universe())
- s << "true";
- else {
- // We control empty bounded difference shape.
- dimension_type n = bds.space_dimension();
- if (bds.marked_empty())
- s << "false";
- else {
- PPL_DIRTY_TEMP(N, v);
- bool first = true;
- for (dimension_type i = 0; i <= n; ++i)
- for (dimension_type j = i + 1; j <= n; ++j) {
- const N& c_i_j = bds.dbm[i][j];
- const N& c_j_i = bds.dbm[j][i];
- if (is_additive_inverse(c_j_i, c_i_j)) {
- // We will print an equality.
- if (first)
- first = false;
- else
- s << ", ";
- if (i == 0) {
- // We have got a equality constraint with one variable.
- s << Variable(j - 1);
- s << " = " << c_i_j;
- }
- else {
- // We have got a equality constraint with two variables.
- if (sgn(c_i_j) >= 0) {
- s << Variable(j - 1);
- s << " - ";
- s << Variable(i - 1);
- s << " = " << c_i_j;
- }
- else {
- s << Variable(i - 1);
- s << " - ";
- s << Variable(j - 1);
- s << " = " << c_j_i;
- }
- }
- }
- else {
- // We will print a non-strict inequality.
- if (!is_plus_infinity(c_j_i)) {
- if (first)
- first = false;
- else
- s << ", ";
- if (i == 0) {
- // We have got a constraint with only one variable.
- s << Variable(j - 1);
- neg_assign_r(v, c_j_i, ROUND_DOWN);
- s << " >= " << v;
- }
- else {
- // We have got a constraint with two variables.
- if (sgn(c_j_i) >= 0) {
- s << Variable(i - 1);
- s << " - ";
- s << Variable(j - 1);
- s << " <= " << c_j_i;
- }
- else {
- s << Variable(j - 1);
- s << " - ";
- s << Variable(i - 1);
- neg_assign_r(v, c_j_i, ROUND_DOWN);
- s << " >= " << v;
- }
- }
- }
- if (!is_plus_infinity(c_i_j)) {
- if (first)
- first = false;
- else
- s << ", ";
- if (i == 0) {
- // We have got a constraint with only one variable.
- s << Variable(j - 1);
- s << " <= " << c_i_j;
- }
- else {
- // We have got a constraint with two variables.
- if (sgn(c_i_j) >= 0) {
- s << Variable(j - 1);
- s << " - ";
- s << Variable(i - 1);
- s << " <= " << c_i_j;
- }
- else {
- s << Variable(i - 1);
- s << " - ";
- s << Variable(j - 1);
- neg_assign_r(v, c_i_j, ROUND_DOWN);
- s << " >= " << v;
- }
- }
- }
- }
- }
- }
- }
- return s;
-}
-
-template <typename T>
-void
-BD_Shape<T>::ascii_dump(std::ostream& s) const {
- status.ascii_dump(s);
- s << "\n";
- dbm.ascii_dump(s);
- s << "\n";
- redundancy_dbm.ascii_dump(s);
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, BD_Shape<T>)
-
-template <typename T>
-bool
-BD_Shape<T>::ascii_load(std::istream& s) {
- if (!status.ascii_load(s))
- return false;
- if (!dbm.ascii_load(s))
- return false;
- if (!redundancy_dbm.ascii_load(s))
- return false;
- return true;
-}
-
-template <typename T>
-memory_size_type
-BD_Shape<T>::external_memory_in_bytes() const {
- return dbm.external_memory_in_bytes()
- + redundancy_dbm.external_memory_in_bytes();
-}
-
-template <typename T>
-bool
-BD_Shape<T>::OK() const {
- // Check whether the difference-bound matrix is well-formed.
- if (!dbm.OK())
- return false;
-
- // Check whether the status information is legal.
- if (!status.OK())
- return false;
-
- // An empty BDS is OK.
- if (marked_empty())
- return true;
-
- // MINUS_INFINITY cannot occur at all.
- for (dimension_type i = dbm.num_rows(); i-- > 0; )
- for (dimension_type j = dbm.num_rows(); j-- > 0; )
- if (is_minus_infinity(dbm[i][j])) {
-#ifndef NDEBUG
- using namespace Parma_Polyhedra_Library::IO_Operators;
- std::cerr << "BD_Shape::dbm[" << i << "][" << j << "] = "
- << dbm[i][j] << "!"
- << std::endl;
-#endif
- return false;
- }
-
- // On the main diagonal only PLUS_INFINITY can occur.
- for (dimension_type i = dbm.num_rows(); i-- > 0; )
- if (!is_plus_infinity(dbm[i][i])) {
-#ifndef NDEBUG
- using namespace Parma_Polyhedra_Library::IO_Operators;
- std::cerr << "BD_Shape::dbm[" << i << "][" << i << "] = "
- << dbm[i][i] << "! (+inf was expected.)"
- << std::endl;
-#endif
- return false;
- }
-
- // Check whether the shortest-path closure information is legal.
- if (marked_shortest_path_closed()) {
- BD_Shape x = *this;
- x.reset_shortest_path_closed();
- x.shortest_path_closure_assign();
- if (x.dbm != dbm) {
-#ifndef NDEBUG
- std::cerr << "BD_Shape is marked as closed but it is not!"
- << std::endl;
-#endif
- return false;
- }
- }
-
- // The following tests might result in false alarms when using floating
- // point coefficients: they are only meaningful if the coefficient type
- // base is exact (since otherwise shortest-path closure is approximated).
- if (std::numeric_limits<coefficient_type_base>::is_exact) {
-
- // Check whether the shortest-path reduction information is legal.
- if (marked_shortest_path_reduced()) {
- // A non-redundant constraint cannot be equal to PLUS_INFINITY.
- for (dimension_type i = dbm.num_rows(); i-- > 0; )
- for (dimension_type j = dbm.num_rows(); j-- > 0; )
- if (!redundancy_dbm[i][j] && is_plus_infinity(dbm[i][j])) {
-#ifndef NDEBUG
- using namespace Parma_Polyhedra_Library::IO_Operators;
- std::cerr << "BD_Shape::dbm[" << i << "][" << j << "] = "
- << dbm[i][j] << " is marked as non-redundant!"
- << std::endl;
-#endif
- return false;
- }
-
- BD_Shape x = *this;
- x.reset_shortest_path_reduced();
- x.shortest_path_reduction_assign();
- if (x.redundancy_dbm != redundancy_dbm) {
-#ifndef NDEBUG
- std::cerr << "BD_Shape is marked as reduced but it is not!"
- << std::endl;
-#endif
- return false;
- }
- }
- }
-
- // All checks passed.
- return true;
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- const BD_Shape& y) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", y->space_dimension() == " << y.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", required dimension == " << required_dim << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- const Constraint& c) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", c->space_dimension == " << c.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- const Congruence& cg) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", cg->space_dimension == " << cg.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- const Generator& g) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", g->space_dimension == " << g.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_expression_too_complex(const char* method,
- const Linear_Expression& le) {
- using namespace IO_Operators;
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << le << " is too complex.";
- throw std::invalid_argument(s.str());
-}
-
-
-template <typename T>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", " << le_name << "->space_dimension() == "
- << le.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-template<typename Interval_Info>
-void
-BD_Shape<T>::throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form< Interval<T,
- Interval_Info> >& lf) const {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", " << lf_name << "->space_dimension() == "
- << lf.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-BD_Shape<T>::throw_invalid_argument(const char* method, const char* reason) {
- std::ostringstream s;
- s << "PPL::BD_Shape::" << method << ":" << std::endl
- << reason << ".";
- throw std::invalid_argument(s.str());
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_BD_Shape_templates_hh)
diff --git a/src/BD_Shape.types.hh b/src/BD_Shape.types.hh
deleted file mode 100644
index 5dc0f96..0000000
--- a/src/BD_Shape.types.hh
+++ /dev/null
@@ -1,25 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_BD_Shape_types_hh
-#define PPL_BD_Shape_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-class BD_Shape;
-
-class BD_Shape_Helpers;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_BD_Shape_types_hh)
diff --git a/src/BD_Shape_defs.hh b/src/BD_Shape_defs.hh
new file mode 100644
index 0000000..0bfe836
--- /dev/null
+++ b/src/BD_Shape_defs.hh
@@ -0,0 +1,2371 @@
+/* BD_Shape class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BD_Shape_defs_hh
+#define PPL_BD_Shape_defs_hh 1
+
+#include "BD_Shape_types.hh"
+#include "globals_defs.hh"
+#include "Constraint_types.hh"
+#include "Generator_types.hh"
+#include "Congruence_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_System_types.hh"
+#include "Congruence_System_types.hh"
+#include "Poly_Con_Relation_types.hh"
+#include "Poly_Gen_Relation_types.hh"
+#include "Polyhedron_types.hh"
+#include "Box_types.hh"
+#include "Grid_types.hh"
+#include "Octagonal_Shape_types.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_types.hh"
+#include "DB_Matrix_defs.hh"
+#include "DB_Row_defs.hh"
+#include "Checked_Number_defs.hh"
+#include "WRD_coefficient_types_defs.hh"
+#include "Bit_Matrix_defs.hh"
+#include "Coefficient_defs.hh"
+#include "Interval_types.hh"
+#include "Linear_Form_types.hh"
+#include <cstddef>
+#include <iosfwd>
+#include <vector>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::BD_Shape
+ Writes a textual representation of \p bds on \p s:
+ <CODE>false</CODE> is written if \p bds is an empty polyhedron;
+ <CODE>true</CODE> is written if \p bds is the universe polyhedron;
+ a system of constraints defining \p bds is written otherwise,
+ all constraints separated by ", ".
+*/
+template <typename T>
+std::ostream&
+operator<<(std::ostream& s, const BD_Shape<T>& bds);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates BD_Shape */
+template <typename T>
+void swap(BD_Shape<T>& x, BD_Shape<T>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are the same BDS.
+/*! \relates BD_Shape
+ Note that \p x and \p y may be dimension-incompatible shapes:
+ in this case, the value <CODE>false</CODE> is returned.
+*/
+template <typename T>
+bool operator==(const BD_Shape<T>& x, const BD_Shape<T>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are not the same BDS.
+/*! \relates BD_Shape
+ Note that \p x and \p y may be dimension-incompatible shapes:
+ in this case, the value <CODE>true</CODE> is returned.
+*/
+template <typename T>
+bool operator!=(const BD_Shape<T>& x, const BD_Shape<T>& y);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates BD_Shape
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+// This class contains some helper functions that need to be friends of
+// Linear_Expression.
+class BD_Shape_Helpers {
+public:
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Decodes the constraint \p c as a bounded difference.
+ /*! \relates BD_Shape
+ \return
+ <CODE>true</CODE> if the constraint \p c is a
+ \ref Bounded_Difference_Shapes "bounded difference";
+ <CODE>false</CODE> otherwise.
+
+ \param c
+ The constraint to be decoded.
+
+ \param c_num_vars
+ If <CODE>true</CODE> is returned, then it will be set to the number
+ of variables having a non-zero coefficient. The only legal values
+ will therefore be 0, 1 and 2.
+
+ \param c_first_var
+ If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
+ then it will be set to the index of the first variable having
+ a non-zero coefficient in \p c.
+
+ \param c_second_var
+ If <CODE>true</CODE> is returned and if \p c_num_vars is set to 2,
+ then it will be set to the index of the second variable having
+ a non-zero coefficient in \p c. If \p c_num_vars is set to 1, this must be
+ 0.
+
+ \param c_coeff
+ If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
+ then it will be set to the value of the first non-zero coefficient
+ in \p c.
+ */
+ #endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ static bool extract_bounded_difference(const Constraint& c,
+ dimension_type& c_num_vars,
+ dimension_type& c_first_var,
+ dimension_type& c_second_var,
+ Coefficient& c_coeff);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Extracts leader indices from the predecessor relation.
+/*! \relates BD_Shape */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void compute_leader_indices(const std::vector<dimension_type>& predecessor,
+ std::vector<dimension_type>& indices);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A bounded difference shape.
+/*! \ingroup PPL_CXX_interface
+ The class template BD_Shape<T> allows for the efficient representation
+ of a restricted kind of <EM>topologically closed</EM> convex polyhedra
+ called <EM>bounded difference shapes</EM> (BDSs, for short).
+ The name comes from the fact that the closed affine half-spaces that
+ characterize the polyhedron can be expressed by constraints of the form
+ \f$\pm x_i \leq k\f$ or \f$x_i - x_j \leq k\f$, where the inhomogeneous
+ term \f$k\f$ is a rational number.
+
+ Based on the class template type parameter \p T, a family of extended
+ numbers is built and used to approximate the inhomogeneous term of
+ bounded differences. These extended numbers provide a representation
+ for the value \f$+\infty\f$, as well as <EM>rounding-aware</EM>
+ implementations for several arithmetic functions.
+ The value of the type parameter \p T may be one of the following:
+ - a bounded precision integer type (e.g., \c int32_t or \c int64_t);
+ - a bounded precision floating point type (e.g., \c float or \c double);
+ - an unbounded integer or rational type, as provided by GMP
+ (i.e., \c mpz_class or \c mpq_class).
+
+ The user interface for BDSs is meant to be as similar as possible to
+ the one developed for the polyhedron class C_Polyhedron.
+
+ The domain of BD shapes <EM>optimally supports</EM>:
+ - tautological and inconsistent constraints and congruences;
+ - bounded difference constraints;
+ - non-proper congruences (i.e., equalities) that are expressible
+ as bounded-difference constraints.
+
+ Depending on the method, using a constraint or congruence that is not
+ optimally supported by the domain will either raise an exception or
+ result in a (possibly non-optimal) upward approximation.
+
+ A constraint is a bounded difference if it has the form
+ \f[
+ a_i x_i - a_j x_j \relsym b
+ \f]
+ where \f$\mathord{\relsym} \in \{ \leq, =, \geq \}\f$ and
+ \f$a_i\f$, \f$a_j\f$, \f$b\f$ are integer coefficients such that
+ \f$a_i = 0\f$, or \f$a_j = 0\f$, or \f$a_i = a_j\f$.
+ The user is warned that the above bounded difference Constraint object
+ will be mapped into a \e correct and \e optimal approximation that,
+ depending on the expressive power of the chosen template argument \p T,
+ may loose some precision. Also note that strict constraints are not
+ bounded differences.
+
+ For instance, a Constraint object encoding \f$3x - 3y \leq 1\f$ will be
+ approximated by:
+ - \f$x - y \leq 1\f$,
+ if \p T is a (bounded or unbounded) integer type;
+ - \f$x - y \leq \frac{1}{3}\f$,
+ if \p T is the unbounded rational type \c mpq_class;
+ - \f$x - y \leq k\f$, where \f$k > \frac{1}{3}\f$,
+ if \p T is a floating point type (having no exact representation
+ for \f$\frac{1}{3}\f$).
+
+ On the other hand, depending from the context, a Constraint object
+ encoding \f$3x - y \leq 1\f$ will be either upward approximated
+ (e.g., by safely ignoring it) or it will cause an exception.
+
+ In the following examples it is assumed that the type argument \p T
+ is one of the possible instances listed above and that variables
+ <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE> are defined
+ (where they are used) as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(2);
+ \endcode
+
+ \par Example 1
+ The following code builds a BDS corresponding to a cube in \f$\Rset^3\f$,
+ given as a system of constraints:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x <= 1);
+ cs.insert(y >= 0);
+ cs.insert(y <= 1);
+ cs.insert(z >= 0);
+ cs.insert(z <= 1);
+ BD_Shape<T> bd(cs);
+ \endcode
+ Since only those constraints having the syntactic form of a
+ <EM>bounded difference</EM> are optimally supported, the following code
+ will throw an exception (caused by constraints 7, 8 and 9):
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x <= 1);
+ cs.insert(y >= 0);
+ cs.insert(y <= 1);
+ cs.insert(z >= 0);
+ cs.insert(z <= 1);
+ cs.insert(x + y <= 0); // 7
+ cs.insert(x - z + x >= 0); // 8
+ cs.insert(3*z - y <= 1); // 9
+ BD_Shape<T> bd(cs);
+ \endcode
+*/
+template <typename T>
+class Parma_Polyhedra_Library::BD_Shape {
+private:
+ /*! \brief
+ The (extended) numeric type of the inhomogeneous term of
+ the inequalities defining a BDS.
+ */
+#ifndef NDEBUG
+ typedef Checked_Number<T, Debug_WRD_Extended_Number_Policy> N;
+#else
+ typedef Checked_Number<T, WRD_Extended_Number_Policy> N;
+#endif
+
+public:
+ //! The numeric base type upon which bounded differences are built.
+ typedef T coefficient_type_base;
+
+ /*! \brief
+ The (extended) numeric type of the inhomogeneous term of the
+ inequalities defining a BDS.
+ */
+ typedef N coefficient_type;
+
+ //! Returns the maximum space dimension that a BDS can handle.
+ static dimension_type max_space_dimension();
+
+ /*! \brief
+ Returns \c false indicating that this domain cannot recycle constraints.
+ */
+ static bool can_recycle_constraint_systems();
+
+ /*! \brief
+ Returns \c false indicating that this domain cannot recycle congruences.
+ */
+ static bool can_recycle_congruence_systems();
+
+ //! \name Constructors, Assignment, Swap and Destructor
+ //@{
+
+ //! Builds a universe or empty BDS of the specified space dimension.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the BDS;
+
+ \param kind
+ Specifies whether the universe or the empty BDS has to be built.
+ */
+ explicit BD_Shape(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ BD_Shape(const BD_Shape& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a conservative, upward approximation of \p y.
+ /*!
+ The complexity argument is ignored.
+ */
+ template <typename U>
+ explicit BD_Shape(const BD_Shape<U>& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a BDS from the system of constraints \p cs.
+ /*!
+ The BDS inherits the space dimension of \p cs.
+
+ \param cs
+ A system of BD constraints.
+
+ \exception std::invalid_argument
+ Thrown if \p cs contains a constraint which is not optimally supported
+ by the BD shape domain.
+ */
+ explicit BD_Shape(const Constraint_System& cs);
+
+ //! Builds a BDS from a system of congruences.
+ /*!
+ The BDS inherits the space dimension of \p cgs
+
+ \param cgs
+ A system of congruences.
+
+ \exception std::invalid_argument
+ Thrown if \p cgs contains congruences which are not optimally
+ supported by the BD shape domain.
+ */
+ explicit BD_Shape(const Congruence_System& cgs);
+
+ //! Builds a BDS from the system of generators \p gs.
+ /*!
+ Builds the smallest BDS containing the polyhedron defined by \p gs.
+ The BDS inherits the space dimension of \p gs.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+ */
+ explicit BD_Shape(const Generator_System& gs);
+
+ //! Builds a BDS from the polyhedron \p ph.
+ /*!
+ Builds a BDS containing \p ph using algorithms whose complexity
+ does not exceed the one specified by \p complexity. If
+ \p complexity is \p ANY_COMPLEXITY, then the BDS built is the
+ smallest one containing \p ph.
+ */
+ explicit BD_Shape(const Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a BDS out of a box.
+ /*!
+ The BDS inherits the space dimension of the box.
+ The built BDS is the most precise BDS that includes the box.
+
+ \param box
+ The box representing the BDS to be built.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename Interval>
+ explicit BD_Shape(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a BDS out of a grid.
+ /*!
+ The BDS inherits the space dimension of the grid.
+ The built BDS is the most precise BDS that includes the grid.
+
+ \param grid
+ The grid used to build the BDS.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p grid exceeds the maximum
+ allowed space dimension.
+ */
+ explicit BD_Shape(const Grid& grid,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a BDS from an octagonal shape.
+ /*!
+ The BDS inherits the space dimension of the octagonal shape.
+ The built BDS is the most precise BDS that includes the octagonal shape.
+
+ \param os
+ The octagonal shape used to build the BDS.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p os exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename U>
+ explicit BD_Shape(const Octagonal_Shape<U>& os,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator
+ (\p *this and \p y can be dimension-incompatible).
+ */
+ BD_Shape& operator=(const BD_Shape& y);
+
+ /*! \brief
+ Swaps \p *this with \p y
+ (\p *this and \p y can be dimension-incompatible).
+ */
+ void m_swap(BD_Shape& y);
+
+ //! Destructor.
+ ~BD_Shape();
+
+ //@} Constructors, Assignment, Swap and Destructor
+
+ //! \name Member Functions that Do Not Modify the BD_Shape
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns \f$0\f$, if \p *this is empty; otherwise, returns the
+ \ref Affine_Independence_and_Affine_Dimension "affine dimension"
+ of \p *this.
+ */
+ dimension_type affine_dimension() const;
+
+ //! Returns a system of constraints defining \p *this.
+ Constraint_System constraints() const;
+
+ //! Returns a minimized system of constraints defining \p *this.
+ Constraint_System minimized_constraints() const;
+
+ //! Returns a system of (equality) congruences satisfied by \p *this.
+ Congruence_System congruences() const;
+
+ /*! \brief
+ Returns a minimal system of (equality) congruences
+ satisfied by \p *this with the same affine dimension as \p *this.
+ */
+ Congruence_System minimized_congruences() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from above in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from below in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d
+ and \p maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value;
+
+ \param g
+ When maximization succeeds, will be assigned the point or
+ closure point where \p expr reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p g are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value;
+
+ \param g
+ When minimization succeeds, will be assigned a point or
+ closure point where \p expr reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p g are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if there exist a
+ unique value \p val such that \p *this
+ saturates the equality <CODE>expr = val</CODE>.
+
+ \param expr
+ The linear expression for which the frequency is needed;
+
+ \param freq_n
+ If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
+ Present for interface compatibility with class Grid, where
+ the \ref Grid_Frequency "frequency" can have a non-zero value;
+
+ \param freq_d
+ If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
+
+ \param val_n
+ The numerator of \p val;
+
+ \param val_d
+ The denominator of \p val;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
+ \p val_n and \p val_d are left untouched.
+ */
+ bool frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool contains(const BD_Shape& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool strictly_contains(const BD_Shape& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool is_disjoint_from(const BD_Shape& y) const;
+
+ //! Returns the relations holding between \p *this and the constraint \p c.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ //! Returns the relations holding between \p *this and the congruence \p cg.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ //! Returns the relations holding between \p *this and the generator \p g.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ Poly_Gen_Relation relation_with(const Generator& g) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is an empty BDS.
+ bool is_empty() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a universe BDS.
+ bool is_universe() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
+ bool is_discrete() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a topologically closed subset of the vector space.
+ */
+ bool is_topologically_closed() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a bounded BDS.
+ bool is_bounded() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains at least one integer point.
+ */
+ bool contains_integer_point() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ bool constrains(Variable var) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this satisfies
+ all its invariants.
+ */
+ bool OK() const;
+
+ //@} Member Functions that Do Not Modify the BD_Shape
+
+ //! \name Space-Dimension Preserving Member Functions that May Modify the BD_Shape
+ //@{
+
+ /*! \brief
+ Adds a copy of constraint \p c to the system of bounded differences
+ defining \p *this.
+
+ \param c
+ The constraint to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible,
+ or \p c is not optimally supported by the BD shape domain.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds a copy of congruence \p cg to the system of congruences of \p *this.
+
+ \param cg
+ The congruence to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible,
+ or \p cg is not optimally supported by the BD shape domain.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of bounded differences
+ defining \p *this.
+
+ \param cs
+ The constraints that will be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible,
+ or \p cs contains a constraint which is not optimally supported
+ by the BD shape domain.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of constraints
+ of \p *this.
+
+ \param cs
+ The constraint system to be added to \p *this. The constraints in
+ \p cs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible,
+ or \p cs contains a constraint which is not optimally supported
+ by the BD shape domain.
+
+ \warning
+ The only assumption that can be made on \p cs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_constraints(Constraint_System& cs);
+
+ /*! \brief
+ Adds to \p *this constraints equivalent to the congruences in \p cgs.
+
+ \param cgs
+ Contains the congruences that will be added to the system of
+ constraints of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ or \p cgs contains a congruence which is not optimally supported
+ by the BD shape domain.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Adds to \p *this constraints equivalent to the congruences in \p cgs.
+
+ \param cgs
+ Contains the congruences that will be added to the system of
+ constraints of \p *this. Its elements may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ or \p cgs contains a congruence which is not optimally supported
+ by the BD shape domain.
+
+ \warning
+ The only assumption that can be made on \p cgs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_congruences(Congruence_System& cgs);
+
+ /*! \brief
+ Uses a copy of constraint \p c to refine the system of bounded differences
+ defining \p *this.
+
+ \param c
+ The constraint. If it is not a bounded difference, it will be ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ /*! \brief
+ Uses a copy of congruence \p cg to refine the system of
+ bounded differences of \p *this.
+
+ \param cg
+ The congruence. If it is not a bounded difference equality, it
+ will be ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ /*! \brief
+ Uses a copy of the constraints in \p cs to refine the system of
+ bounded differences defining \p *this.
+
+ \param cs
+ The constraint system to be used. Constraints that are not bounded
+ differences are ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Uses a copy of the congruences in \p cgs to refine the system of
+ bounded differences defining \p *this.
+
+ \param cgs
+ The congruence system to be used. Congruences that are not bounded
+ difference equalities are ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Refines the system of BD_Shape constraints defining \p *this using
+ the constraint expressed by \p left \f$\leq\f$ \p right.
+
+ \param left
+ The linear form on intervals with floating point boundaries that
+ is at the left of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param right
+ The linear form on intervals with floating point boundaries that
+ is at the right of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \exception std::invalid_argument
+ Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
+
+ This function is used in abstract interpretation to model a filter
+ that is generated by a comparison of two expressions that are correctly
+ approximated by \p left and \p right respectively.
+ */
+ template <typename Interval_Info>
+ void refine_with_linear_form_inequality(
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
+
+ /*! \brief
+ Refines the system of BD_Shape constraints defining \p *this using
+ the constraint expressed by \p left \f$\relsym\f$ \p right, where
+ \f$\relsym\f$ is the relation symbol specified by \p relsym.
+
+ \param left
+ The linear form on intervals with floating point boundaries that
+ is at the left of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param right
+ The linear form on intervals with floating point boundaries that
+ is at the right of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param relsym
+ The relation symbol.
+
+ \exception std::invalid_argument
+ Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
+
+ \exception std::runtime_error
+ Thrown if \p relsym is not a valid relation symbol.
+
+ This function is used in abstract interpretation to model a filter
+ that is generated by a comparison of two expressions that are correctly
+ approximated by \p left and \p right respectively.
+ */
+ template <typename Interval_Info>
+ void generalized_refine_with_linear_form_inequality(
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right,
+ Relation_Symbol relsym);
+
+ //! Applies to \p dest the interval constraints embedded in \p *this.
+ /*!
+ \param dest
+ The object to which the constraints will be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest.
+
+ The template type parameter U must provide the following methods.
+ \code
+ dimension_type space_dimension() const
+ \endcode
+ returns the space dimension of the object.
+ \code
+ void set_empty()
+ \endcode
+ sets the object to an empty object.
+ \code
+ bool restrict_lower(dimension_type dim, const T& lb)
+ \endcode
+ restricts the object by applying the lower bound \p lb to the space
+ dimension \p dim and returns <CODE>false</CODE> if and only if the
+ object becomes empty.
+ \code
+ bool restrict_upper(dimension_type dim, const T& ub)
+ \endcode
+ restricts the object by applying the upper bound \p ub to the space
+ dimension \p dim and returns <CODE>false</CODE> if and only if the
+ object becomes empty.
+ */
+ template <typename U>
+ void export_interval_constraints(U& dest) const;
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ //! Assigns to \p *this the intersection of \p *this and \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void intersection_assign(const BD_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this the smallest BDS containing the union
+ of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void upper_bound_assign(const BD_Shape& y);
+
+ /*! \brief
+ If the upper bound of \p *this and \p y is exact, it is assigned
+ to \p *this and <CODE>true</CODE> is returned,
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool upper_bound_assign_if_exact(const BD_Shape& y);
+
+ /*! \brief
+ If the \e integer upper bound of \p *this and \p y is exact,
+ it is assigned to \p *this and <CODE>true</CODE> is returned;
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \note
+ The integer upper bound of two rational BDS is the smallest rational
+ BDS containing all the integral points of the two arguments.
+ This method requires that the coefficient type parameter \c T is
+ an integral type.
+ */
+ bool integer_upper_bound_assign_if_exact(const BD_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this the smallest BD shape containing
+ the set difference of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void difference_assign(const BD_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this a \ref Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+ If \c false is returned, then the intersection is empty.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool simplify_using_context_assign(const BD_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine image"
+ of \p *this under the function mapping variable \p var into the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned.
+
+ \param expr
+ The numerator of the affine expression.
+
+ \param denominator
+ The denominator of the affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension of \p *this.
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ // FIXME: To be completed.
+ /*! \brief
+ Assigns to \p *this the \ref affine_form_relation "affine form image"
+ of \p *this under the function mapping variable \p var into the
+ affine expression(s) specified by \p lf.
+
+ \param var
+ The variable to which the affine expression is assigned.
+
+ \param lf
+ The linear form on intervals with floating point coefficients that
+ defines the affine expression. ALL of its coefficients MUST be bounded.
+
+ \exception std::invalid_argument
+ Thrown if \p lf and \p *this are dimension-incompatible or if \p var
+ is not a dimension of \p *this.
+ */
+ template <typename Interval_Info>
+ void affine_form_image(Variable var,
+ const Linear_Form<Interval<T, Interval_Info> >& lf);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine preimage"
+ of \p *this under the function mapping variable \p var into the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is substituted.
+
+ \param expr
+ The numerator of the affine expression.
+
+ \param denominator
+ The denominator of the affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension of \p *this.
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine transfer function.
+
+ \param relsym
+ The relation symbol.
+
+ \param expr
+ The numerator of the right hand side affine expression.
+
+ \param denominator
+ The denominator of the right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension
+ of \p *this or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression.
+
+ \param relsym
+ The relation symbol.
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine transfer function.
+
+ \param relsym
+ The relation symbol.
+
+ \param expr
+ The numerator of the right hand side affine expression.
+
+ \param denominator
+ The denominator of the right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension
+ of \p *this or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression.
+
+ \param relsym
+ The relation symbol.
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*!
+ \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*!
+ \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void time_elapse_assign(const BD_Shape& y);
+
+ /*! \brief
+ \ref Wrapping_Operator "Wraps" the specified dimensions of the
+ vector space.
+
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be wrapped.
+
+ \param w
+ The width of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param r
+ The representation of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param o
+ The overflow behavior of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param cs_p
+ Possibly null pointer to a constraint system whose variables
+ are contained in \p vars. If <CODE>*cs_p</CODE> depends on
+ variables not in \p vars, the behavior is undefined.
+ When non-null, the pointed-to constraint system is assumed to
+ represent the conditional or looping construct guard with respect
+ to which wrapping is performed. Since wrapping requires the
+ computation of upper bounds and due to non-distributivity of
+ constraint refinement over upper bounds, passing a constraint
+ system in this way can be more precise than refining the result of
+ the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
+
+ \param complexity_threshold
+ A precision parameter of the \ref Wrapping_Operator "wrapping operator":
+ higher values result in possibly improved precision.
+
+ \param wrap_individually
+ <CODE>true</CODE> if the dimensions should be wrapped individually
+ (something that results in much greater efficiency to the detriment of
+ precision).
+
+ \exception std::invalid_argument
+ Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
+ \p vars, or if \p *this is dimension-incompatible \p vars or with
+ <CODE>*cs_p</CODE>.
+ */
+ void wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p = 0,
+ unsigned complexity_threshold = 16,
+ bool wrap_individually = true);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void CC76_extrapolation_assign(const BD_Shape& y, unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param first
+ An iterator referencing the first stop-point.
+
+ \param last
+ An iterator referencing one past the last stop-point.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ template <typename Iterator>
+ void CC76_extrapolation_assign(const BD_Shape& y,
+ Iterator first, Iterator last,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref BHMZ05_widening "BHMZ05-widening" of \p *this and \p y.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void BHMZ05_widening_assign(const BD_Shape& y, unsigned* tp = 0);
+
+ /*! \brief
+ Improves the result of the \ref BHMZ05_widening "BHMZ05-widening"
+ computation by also enforcing those constraints in \p cs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param cs
+ The system of constraints used to improve the widened BDS.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are dimension-incompatible or
+ if \p cs contains a strict inequality.
+ */
+ void limited_BHMZ05_extrapolation_assign(const BD_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of restoring in \p y the constraints
+ of \p *this that were lost by
+ \ref CC76_extrapolation "CC76-extrapolation" applications.
+
+ \param y
+ A BDS that <EM>must</EM> contain \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \note
+ As was the case for widening operators, the argument \p y is meant to
+ denote the value computed in the previous iteration step, whereas
+ \p *this denotes the value computed in the current iteration step
+ (in the <EM>decreasing</EM> iteration sequence). Hence, the call
+ <CODE>x.CC76_narrowing_assign(y)</CODE> will assign to \p x
+ the result of the computation \f$\mathtt{y} \Delta \mathtt{x}\f$.
+ */
+ void CC76_narrowing_assign(const BD_Shape& y);
+
+ /*! \brief
+ Improves the result of the \ref CC76_extrapolation "CC76-extrapolation"
+ computation by also enforcing those constraints in \p cs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param cs
+ The system of constraints used to improve the widened BDS.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are dimension-incompatible or
+ if \p cs contains a strict inequality.
+ */
+ void limited_CC76_extrapolation_assign(const BD_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref H79_widening "H79-widening" between \p *this and \p y.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void H79_widening_assign(const BD_Shape& y, unsigned* tp = 0);
+
+ //! Same as H79_widening_assign(y, tp).
+ void widening_assign(const BD_Shape& y, unsigned* tp = 0);
+
+ /*! \brief
+ Improves the result of the \ref H79_widening "H79-widening"
+ computation by also enforcing those constraints in \p cs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ A BDS that <EM>must</EM> be contained in \p *this.
+
+ \param cs
+ The system of constraints used to improve the widened BDS.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are dimension-incompatible.
+ */
+ void limited_H79_extrapolation_assign(const BD_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ //@} Space-Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ //! Adds \p m new dimensions and embeds the old BDS into the new space.
+ /*!
+ \param m
+ The number of dimensions to add.
+
+ The new dimensions will be those having the highest indexes in the new
+ BDS, which is defined by a system of bounded differences in which the
+ variables running through the new dimensions are unconstrained.
+ For instance, when starting from the BDS \f$\cB \sseq \Rset^2\f$
+ and adding a third dimension, the result will be the BDS
+ \f[
+ \bigl\{\,
+ (x, y, z)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cB
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Adds \p m new dimensions to the BDS and does not embed it in
+ the new vector space.
+
+ \param m
+ The number of dimensions to add.
+
+ The new dimensions will be those having the highest indexes in the
+ new BDS, which is defined by a system of bounded differences in
+ which the variables running through the new dimensions are all
+ constrained to be equal to 0.
+ For instance, when starting from the BDS \f$\cB \sseq \Rset^2\f$
+ and adding a third dimension, the result will be the BDS
+ \f[
+ \bigl\{\,
+ (x, y, 0)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cB
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ /*! \brief
+ Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
+ of \p *this and \p y, taken in this order.
+
+ \exception std::length_error
+ Thrown if the concatenation would cause the vector space
+ to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void concatenate_assign(const BD_Shape& y);
+
+ //! Removes all the specified dimensions.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the dimensions to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the Variable
+ objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher dimensions so that the resulting space
+ will have dimension \p new_dimension.
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimension is greater than the space dimension
+ of \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
+
+ \param pfunc
+ The partial function specifying the destiny of each dimension.
+
+ The template type parameter Partial_Function must provide
+ the following methods.
+ \code
+ bool has_empty_codomain() const
+ \endcode
+ returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty co-domain (i.e., it is always undefined).
+ The <CODE>has_empty_codomain()</CODE> method will always be called
+ before the methods below. However, if
+ <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
+ of the functions below will be called.
+ \code
+ dimension_type max_in_codomain() const
+ \endcode
+ returns the maximum value that belongs to the co-domain
+ of the partial function.
+ \code
+ bool maps(dimension_type i, dimension_type& j) const
+ \endcode
+ Let \f$f\f$ be the represented function and \f$k\f$ be the value
+ of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
+ assigned to \p j and <CODE>true</CODE> is returned.
+ If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
+ returned.
+
+ The result is undefined if \p pfunc does not encode a partial
+ function with the properties described in the
+ \ref Mapping_the_Dimensions_of_the_Vector_Space
+ "specification of the mapping operator".
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref expand_space_dimension "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars.
+ Also thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are \ref fold_space_dimensions "folded"
+ into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //! Refines \p store with the constraints defining \p *this.
+ /*!
+ \param store
+ The interval floating point abstract store to refine.
+ */
+ template <typename Interval_Info>
+ void refine_fp_interval_abstract_store(Box<Interval<T, Interval_Info> >&
+ store) const;
+
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If \p x and \p y are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ friend bool operator==<T>(const BD_Shape<T>& x, const BD_Shape<T>& y);
+
+ template <typename Temp, typename To, typename U>
+ friend bool Parma_Polyhedra_Library::rectilinear_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<U>& x, const BD_Shape<U>& y, const Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2);
+ template <typename Temp, typename To, typename U>
+ friend bool Parma_Polyhedra_Library::euclidean_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<U>& x, const BD_Shape<U>& y, const Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2);
+ template <typename Temp, typename To, typename U>
+ friend bool Parma_Polyhedra_Library::l_infinity_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<U>& x, const BD_Shape<U>& y, const Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2);
+
+private:
+ template <typename U> friend class Parma_Polyhedra_Library::BD_Shape;
+ template <typename Interval> friend class Parma_Polyhedra_Library::Box;
+
+ //! The matrix representing the system of bounded differences.
+ DB_Matrix<N> dbm;
+
+#define PPL_IN_BD_Shape_CLASS
+#include "BDS_Status_idefs.hh"
+#undef PPL_IN_BD_Shape_CLASS
+
+ //! The status flags to keep track of the internal state.
+ Status status;
+
+ //! A matrix indicating which constraints are redundant.
+ Bit_Matrix redundancy_dbm;
+
+ //! Returns <CODE>true</CODE> if the BDS is the zero-dimensional universe.
+ bool marked_zero_dim_univ() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the BDS is known to be empty.
+
+ The return value <CODE>false</CODE> does not necessarily
+ implies that \p *this is non-empty.
+ */
+ bool marked_empty() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the system of bounded differences
+ is known to be shortest-path closed.
+
+ The return value <CODE>false</CODE> does not necessarily
+ implies that <CODE>this->dbm</CODE> is not shortest-path closed.
+ */
+ bool marked_shortest_path_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the system of bounded differences
+ is known to be shortest-path reduced.
+
+ The return value <CODE>false</CODE> does not necessarily
+ implies that <CODE>this->dbm</CODE> is not shortest-path reduced.
+ */
+ bool marked_shortest_path_reduced() const;
+
+ //! Turns \p *this into an empty BDS.
+ void set_empty();
+
+ //! Turns \p *this into an zero-dimensional universe BDS.
+ void set_zero_dim_univ();
+
+ //! Marks \p *this as shortest-path closed.
+ void set_shortest_path_closed();
+
+ //! Marks \p *this as shortest-path closed.
+ void set_shortest_path_reduced();
+
+ //! Marks \p *this as possibly not shortest-path closed.
+ void reset_shortest_path_closed();
+
+ //! Marks \p *this as possibly not shortest-path reduced.
+ void reset_shortest_path_reduced();
+
+ //! Assigns to <CODE>this->dbm</CODE> its shortest-path closure.
+ void shortest_path_closure_assign() const;
+
+ /*! \brief
+ Assigns to <CODE>this->dbm</CODE> its shortest-path closure and
+ records into <CODE>this->redundancy_dbm</CODE> which of the entries
+ in <CODE>this->dbm</CODE> are redundant.
+ */
+ void shortest_path_reduction_assign() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if <CODE>this->dbm</CODE>
+ is shortest-path closed and <CODE>this->redundancy_dbm</CODE>
+ correctly flags the redundant entries in <CODE>this->dbm</CODE>.
+ */
+ bool is_shortest_path_reduced() const;
+
+ /*! \brief
+ Incrementally computes shortest-path closure, assuming that only
+ constraints affecting variable \p var need to be considered.
+
+ \note
+ It is assumed that \c *this, which was shortest-path closed,
+ has only been modified by adding constraints affecting variable
+ \p var. If this assumption is not satisfied, i.e., if a non-redundant
+ constraint not affecting variable \p var has been added, the behavior
+ is undefined.
+ */
+ void incremental_shortest_path_closure_assign(Variable var) const;
+
+ //! Checks if and how \p expr is bounded in \p *this.
+ /*!
+ Returns <CODE>true</CODE> if and only if \p from_above is
+ <CODE>true</CODE> and \p expr is bounded from above in \p *this,
+ or \p from_above is <CODE>false</CODE> and \p expr is bounded
+ from below in \p *this.
+
+ \param expr
+ The linear expression to test;
+
+ \param from_above
+ <CODE>true</CODE> if and only if the boundedness of interest is
+ "from above".
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds(const Linear_Expression& expr, bool from_above) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p
+ *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p * this;
+
+ \param g
+ When maximization or minimization succeeds, will be assigned
+ a point or closure point where \p expr reaches the
+ corresponding extremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p g are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator& g) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p
+ *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p * this;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p point are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
+
+ /*! \brief
+ If the upper bound of \p *this and \p y is exact it is assigned
+ to \p *this and \c true is returned, otherwise \c false is returned.
+
+ Current implementation is based on a variant of Algorithm 4.1 in
+ A. Bemporad, K. Fukuda, and F. D. Torrisi
+ <em>Convexity Recognition of the Union of Polyhedra</em>
+ Technical Report AUT00-13, ETH Zurich, 2000
+ tailored to the special case of BD shapes.
+
+ \note
+ It is assumed that \p *this and \p y are dimension-compatible;
+ if the assumption does not hold, the behavior is undefined.
+ */
+ bool BFT00_upper_bound_assign_if_exact(const BD_Shape& y);
+
+ /*! \brief
+ If the upper bound of \p *this and \p y is exact it is assigned
+ to \p *this and \c true is returned, otherwise \c false is returned.
+
+ Implementation for the rational (resp., integer) case is based on
+ Theorem 5.2 (resp. Theorem 5.3) of \ref BHZ09b "[BHZ09b]".
+ The Boolean template parameter \c integer_upper_bound allows for
+ choosing between the rational and integer upper bound algorithms.
+
+ \note
+ It is assumed that \p *this and \p y are dimension-compatible;
+ if the assumption does not hold, the behavior is undefined.
+
+ \note
+ The integer case is only enabled if T is an integer data type.
+ */
+ template <bool integer_upper_bound>
+ bool BHZ09_upper_bound_assign_if_exact(const BD_Shape& y);
+
+ /*! \brief
+ Uses the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be added. Non BD constraints are ignored.
+
+ \warning
+ If \p c and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Constraint& c);
+
+ /*! \brief
+ Uses the congruence \p cg to refine \p *this.
+
+ \param cg
+ The congruence to be added.
+ Nontrivial proper congruences are ignored.
+ Non BD equalities are ignored.
+
+ \warning
+ If \p cg and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Congruence& cg);
+
+ //! Adds the constraint <CODE>dbm[i][j] \<= k</CODE>.
+ void add_dbm_constraint(dimension_type i, dimension_type j, const N& k);
+
+ //! Adds the constraint <CODE>dbm[i][j] \<= numer/denom</CODE>.
+ void add_dbm_constraint(dimension_type i, dimension_type j,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom);
+
+ /*! \brief
+ Adds to the BDS the constraint
+ \f$\mathrm{var} \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$.
+
+ Note that the coefficient of \p var in \p expr is null.
+ */
+ void refine(Variable var, Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ //! Removes all the constraints on row/column \p v.
+ void forget_all_dbm_constraints(dimension_type v);
+ //! Removes all binary constraints on row/column \p v.
+ void forget_binary_dbm_constraints(dimension_type v);
+
+ //! An helper function for the computation of affine relations.
+ /*!
+ For each dbm index \p u (less than or equal to \p last_v and different
+ from \p v), deduce constraints of the form <CODE>v - u \<= c</CODE>,
+ starting from \p ub_v which is an upper bound for \p v.
+
+ The shortest-path closure is able to deduce the constraint
+ <CODE>v - u \<= ub_v - lb_u</CODE>. We can be more precise if variable
+ \p u played an active role in the computation of the upper bound for
+ \p v, i.e., if the corresponding coefficient
+ <CODE>q == sc_expr[u]/sc_denom</CODE> is greater than zero. In particular:
+ - if <CODE>q \>= 1</CODE>, then <CODE>v - u \<= ub_v - ub_u</CODE>;
+ - if <CODE>0 \< q \< 1</CODE>, then
+ <CODE>v - u \<= ub_v - (q*ub_u + (1-q)*lb_u)</CODE>.
+ */
+ void deduce_v_minus_u_bounds(dimension_type v,
+ dimension_type last_v,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& ub_v);
+
+ /*! \brief
+ Auxiliary function for \ref affine_form_relation "affine form image" that
+ handle the general case: \f$l = c\f$
+ */
+ template <typename Interval_Info>
+ void inhomogeneous_affine_form_image(const dimension_type& var_id,
+ const Interval<T, Interval_Info>& b);
+
+ /*! \brief
+ Auxiliary function for \ref affine_form_relation "affine form
+ image" that handle the general case: \f$l = ax + c\f$
+ */
+ template <typename Interval_Info>
+ void one_variable_affine_form_image
+ (const dimension_type& var_id,
+ const Interval<T, Interval_Info>& b,
+ const Interval<T, Interval_Info>& w_coeff,
+ const dimension_type& w_id,
+ const dimension_type& space_dim);
+
+ /*! \brief
+ Auxiliary function for \ref affine_form_relation "affine form image" that
+ handle the general case: \f$l = ax + by + c\f$
+ */
+ template <typename Interval_Info>
+ void two_variables_affine_form_image
+ (const dimension_type& var_id,
+ const Linear_Form<Interval<T,Interval_Info> >& lf,
+ const dimension_type& space_dim);
+
+ /*! \brief
+ Auxiliary function for refine with linear form that handle
+ the general case: \f$l = ax + c\f$
+ */
+ template <typename Interval_Info>
+ void left_inhomogeneous_refine
+ (const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
+
+ /*! \brief
+ Auxiliary function for refine with linear form that handle
+ the general case: \f$ax + b = cy + d\f$
+ */
+ template <typename Interval_Info>
+ void left_one_var_refine
+ (const dimension_type& left_w_id,
+ const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
+
+ /*! \brief
+ Auxiliary function for refine with linear form that handle
+ the general case.
+ */
+ template <typename Interval_Info>
+ void general_refine(const dimension_type& left_w_id,
+ const dimension_type& right_w_id,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
+
+ template <typename Interval_Info>
+ void linear_form_upper_bound(const Linear_Form<Interval<T, Interval_Info> >&
+ lf,
+ N& result) const;
+
+ //! An helper function for the computation of affine relations.
+ /*!
+ For each dbm index \p u (less than or equal to \p last_v and different
+ from \p v), deduce constraints of the form <CODE>u - v \<= c</CODE>,
+ starting from \p minus_lb_v which is a lower bound for \p v.
+
+ The shortest-path closure is able to deduce the constraint
+ <CODE>u - v \<= ub_u - lb_v</CODE>. We can be more precise if variable
+ \p u played an active role in the computation of the lower bound for
+ \p v, i.e., if the corresponding coefficient
+ <CODE>q == sc_expr[u]/sc_denom</CODE> is greater than zero.
+ In particular:
+ - if <CODE>q \>= 1</CODE>, then <CODE>u - v \<= lb_u - lb_v</CODE>;
+ - if <CODE>0 \< q \< 1</CODE>, then
+ <CODE>u - v \<= (q*lb_u + (1-q)*ub_u) - lb_v</CODE>.
+ */
+ void deduce_u_minus_v_bounds(dimension_type v,
+ dimension_type last_v,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& minus_lb_v);
+
+ /*! \brief
+ Adds to \p limiting_shape the bounded differences in \p cs
+ that are satisfied by \p *this.
+ */
+ void get_limiting_shape(const Constraint_System& cs,
+ BD_Shape& limiting_shape) const;
+
+ //! Compute the (zero-equivalence classes) predecessor relation.
+ /*!
+ It is assumed that the BDS is not empty and shortest-path closed.
+ */
+ void compute_predecessors(std::vector<dimension_type>& predecessor) const;
+
+ //! Compute the leaders of zero-equivalence classes.
+ /*!
+ It is assumed that the BDS is not empty and shortest-path closed.
+ */
+ void compute_leaders(std::vector<dimension_type>& leaders) const;
+
+ void drop_some_non_integer_points_helper(N& elem);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators
+ ::operator<<<>(std::ostream& s, const BD_Shape<T>& c);
+
+ //! \name Exception Throwers
+ //@{
+ void throw_dimension_incompatible(const char* method,
+ const BD_Shape& y) const;
+
+ void throw_dimension_incompatible(const char* method,
+ dimension_type required_dim) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Constraint& c) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Congruence& cg) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Generator& g) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const;
+
+ template<typename Interval_Info>
+ void
+ throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<Interval<T, Interval_Info> >&
+ lf) const;
+
+ static void throw_expression_too_complex(const char* method,
+ const Linear_Expression& le);
+
+ static void throw_invalid_argument(const char* method, const char* reason);
+ //@} // Exception Throwers
+};
+
+#include "BDS_Status_inlines.hh"
+#include "BD_Shape_inlines.hh"
+#include "BD_Shape_templates.hh"
+
+#endif // !defined(PPL_BD_Shape_defs_hh)
diff --git a/src/BD_Shape_inlines.hh b/src/BD_Shape_inlines.hh
new file mode 100644
index 0000000..d3b7022
--- /dev/null
+++ b/src/BD_Shape_inlines.hh
@@ -0,0 +1,910 @@
+/* BD_Shape class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BD_Shape_inlines_hh
+#define PPL_BD_Shape_inlines_hh 1
+
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "C_Polyhedron_defs.hh"
+#include "Grid_defs.hh"
+#include "Octagonal_Shape_defs.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "Temp_defs.hh"
+#include "meta_programming.hh"
+#include "wrap_assign.hh"
+#include "assert.hh"
+#include <vector>
+#include <iostream>
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline dimension_type
+BD_Shape<T>::max_space_dimension() {
+ // One dimension is reserved to have a value of type dimension_type
+ // that does not represent a legal dimension.
+ return std::min(DB_Matrix<N>::max_num_rows() - 1,
+ DB_Matrix<N>::max_num_columns() - 1);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::marked_zero_dim_univ() const {
+ return status.test_zero_dim_univ();
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::marked_empty() const {
+ return status.test_empty();
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::marked_shortest_path_closed() const {
+ return status.test_shortest_path_closed();
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::marked_shortest_path_reduced() const {
+ return status.test_shortest_path_reduced();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::set_zero_dim_univ() {
+ status.set_zero_dim_univ();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::set_empty() {
+ status.set_empty();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::set_shortest_path_closed() {
+ status.set_shortest_path_closed();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::set_shortest_path_reduced() {
+ status.set_shortest_path_reduced();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::reset_shortest_path_closed() {
+ status.reset_shortest_path_closed();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::reset_shortest_path_reduced() {
+ status.reset_shortest_path_reduced();
+}
+
+template <typename T>
+inline
+BD_Shape<T>::BD_Shape(const dimension_type num_dimensions,
+ const Degenerate_Element kind)
+ : dbm(num_dimensions + 1), status(), redundancy_dbm() {
+ if (kind == EMPTY)
+ set_empty();
+ else {
+ if (num_dimensions > 0)
+ // A (non zero-dim) universe BDS is closed.
+ set_shortest_path_closed();
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline
+BD_Shape<T>::BD_Shape(const BD_Shape& y, Complexity_Class)
+ : dbm(y.dbm), status(y.status), redundancy_dbm() {
+ if (y.marked_shortest_path_reduced())
+ redundancy_dbm = y.redundancy_dbm;
+}
+
+template <typename T>
+template <typename U>
+inline
+BD_Shape<T>::BD_Shape(const BD_Shape<U>& y, Complexity_Class)
+ // For maximum precision, enforce shortest-path closure
+ // before copying the DB matrix.
+ : dbm((y.shortest_path_closure_assign(), y.dbm)),
+ status(),
+ redundancy_dbm() {
+ // TODO: handle flags properly, possibly taking special cases into account.
+ if (y.marked_empty())
+ set_empty();
+ else if (y.marked_zero_dim_univ())
+ set_zero_dim_univ();
+}
+
+template <typename T>
+inline Congruence_System
+BD_Shape<T>::congruences() const {
+ return minimized_congruences();
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::add_constraints(const Constraint_System& cs) {
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); i != cs_end; ++i)
+ add_constraint(*i);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::add_recycled_constraints(Constraint_System& cs) {
+ add_constraints(cs);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::add_congruences(const Congruence_System& cgs) {
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); i != cgs_end; ++i)
+ add_congruence(*i);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::add_recycled_congruences(Congruence_System& cgs) {
+ add_congruences(cgs);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::refine_with_constraint(const Constraint& c) {
+ const dimension_type c_space_dim = c.space_dimension();
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dimension())
+ throw_dimension_incompatible("refine_with_constraint(c)", c);
+
+ if (!marked_empty())
+ refine_no_check(c);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::refine_with_constraints(const Constraint_System& cs) {
+ // Dimension-compatibility check.
+ if (cs.space_dimension() > space_dimension())
+ throw_invalid_argument("refine_with_constraints(cs)",
+ "cs and *this are space-dimension incompatible");
+
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ refine_no_check(*i);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::refine_with_congruence(const Congruence& cg) {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ // Dimension-compatibility check.
+ if (cg_space_dim > space_dimension())
+ throw_dimension_incompatible("refine_with_congruence(cg)", cg);
+
+ if (!marked_empty())
+ refine_no_check(cg);
+}
+
+template <typename T>
+void
+BD_Shape<T>::refine_with_congruences(const Congruence_System& cgs) {
+ // Dimension-compatibility check.
+ if (cgs.space_dimension() > space_dimension())
+ throw_invalid_argument("refine_with_congruences(cgs)",
+ "cgs and *this are space-dimension incompatible");
+
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
+ refine_no_check(*i);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::refine_no_check(const Congruence& cg) {
+ PPL_ASSERT(!marked_empty());
+ PPL_ASSERT(cg.space_dimension() <= space_dimension());
+
+ if (cg.is_proper_congruence()) {
+ if (cg.is_inconsistent())
+ set_empty();
+ // Other proper congruences are just ignored.
+ return;
+ }
+
+ PPL_ASSERT(cg.is_equality());
+ Constraint c(cg);
+ refine_no_check(c);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::can_recycle_constraint_systems() {
+ return false;
+}
+
+
+template <typename T>
+inline bool
+BD_Shape<T>::can_recycle_congruence_systems() {
+ return false;
+}
+
+template <typename T>
+inline
+BD_Shape<T>::BD_Shape(const Constraint_System& cs)
+ : dbm(cs.space_dimension() + 1), status(), redundancy_dbm() {
+ if (cs.space_dimension() > 0)
+ // A (non zero-dim) universe BDS is shortest-path closed.
+ set_shortest_path_closed();
+ add_constraints(cs);
+}
+
+template <typename T>
+template <typename Interval>
+inline
+BD_Shape<T>::BD_Shape(const Box<Interval>& box,
+ Complexity_Class)
+ : dbm(box.space_dimension() + 1), status(), redundancy_dbm() {
+ // Check emptiness for maximum precision.
+ if (box.is_empty())
+ set_empty();
+ else if (box.space_dimension() > 0) {
+ // A (non zero-dim) universe BDS is shortest-path closed.
+ set_shortest_path_closed();
+ refine_with_constraints(box.constraints());
+ }
+}
+
+template <typename T>
+inline
+BD_Shape<T>::BD_Shape(const Grid& grid,
+ Complexity_Class)
+ : dbm(grid.space_dimension() + 1), status(), redundancy_dbm() {
+ if (grid.space_dimension() > 0)
+ // A (non zero-dim) universe BDS is shortest-path closed.
+ set_shortest_path_closed();
+ // Taking minimized congruences ensures maximum precision.
+ refine_with_congruences(grid.minimized_congruences());
+}
+
+template <typename T>
+template <typename U>
+inline
+BD_Shape<T>::BD_Shape(const Octagonal_Shape<U>& os,
+ Complexity_Class)
+ : dbm(os.space_dimension() + 1), status(), redundancy_dbm() {
+ // Check for emptiness for maximum precision.
+ if (os.is_empty())
+ set_empty();
+ else if (os.space_dimension() > 0) {
+ // A (non zero-dim) universe BDS is shortest-path closed.
+ set_shortest_path_closed();
+ refine_with_constraints(os.constraints());
+ // After refining, shortest-path closure is possibly lost
+ // (even when `os' was strongly closed: recall that U
+ // is possibly different from T).
+ }
+}
+
+template <typename T>
+inline BD_Shape<T>&
+BD_Shape<T>::operator=(const BD_Shape& y) {
+ dbm = y.dbm;
+ status = y.status;
+ if (y.marked_shortest_path_reduced())
+ redundancy_dbm = y.redundancy_dbm;
+ return *this;
+}
+
+template <typename T>
+inline
+BD_Shape<T>::~BD_Shape() {
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::m_swap(BD_Shape& y) {
+ using std::swap;
+ swap(dbm, y.dbm);
+ swap(status, y.status);
+ swap(redundancy_dbm, y.redundancy_dbm);
+}
+
+template <typename T>
+inline dimension_type
+BD_Shape<T>::space_dimension() const {
+ return dbm.num_rows() - 1;
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::is_empty() const {
+ shortest_path_closure_assign();
+ return marked_empty();
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::bounds_from_above(const Linear_Expression& expr) const {
+ return bounds(expr, true);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::bounds_from_below(const Linear_Expression& expr) const {
+ return bounds(expr, false);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
+ return max_min(expr, true, sup_n, sup_d, maximum);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const {
+ return max_min(expr, true, sup_n, sup_d, maximum, g);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
+ return max_min(expr, false, inf_n, inf_d, minimum);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const {
+ return max_min(expr, false, inf_n, inf_d, minimum, g);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::is_topologically_closed() const {
+ return true;
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::is_discrete() const {
+ return affine_dimension() == 0;
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::topological_closure_assign() {
+}
+
+/*! \relates BD_Shape */
+template <typename T>
+inline bool
+operator==(const BD_Shape<T>& x, const BD_Shape<T>& y) {
+ const dimension_type x_space_dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ // Zero-dim BDSs are equal if and only if they are both empty or universe.
+ if (x_space_dim == 0) {
+ if (x.marked_empty())
+ return y.marked_empty();
+ else
+ return !y.marked_empty();
+ }
+
+ // The exact equivalence test requires shortest-path closure.
+ x.shortest_path_closure_assign();
+ y.shortest_path_closure_assign();
+
+ // If one of two BDSs is empty, then they are equal
+ // if and only if the other BDS is empty too.
+ if (x.marked_empty())
+ return y.marked_empty();
+ if (y.marked_empty())
+ return false;
+ // Check for syntactic equivalence of the two (shortest-path closed)
+ // systems of bounded differences.
+ return x.dbm == y.dbm;
+}
+
+/*! \relates BD_Shape */
+template <typename T>
+inline bool
+operator!=(const BD_Shape<T>& x, const BD_Shape<T>& y) {
+ return !(x == y);
+}
+
+/*! \relates BD_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ const dimension_type x_space_dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ // Zero-dim BDSs are equal if and only if they are both empty or universe.
+ if (x_space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires shortest-path closure.
+ x.shortest_path_closure_assign();
+ y.shortest_path_closure_assign();
+
+ // If one of two BDSs is empty, then they are equal if and only if
+ // the other BDS is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ return rectilinear_distance_assign(r, x.dbm, y.dbm, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates BD_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates BD_Shape */
+template <typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
+ return rectilinear_distance_assign<To, To, T>(r, x, y, dir);
+}
+
+/*! \relates BD_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ const dimension_type x_space_dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ // Zero-dim BDSs are equal if and only if they are both empty or universe.
+ if (x_space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires shortest-path closure.
+ x.shortest_path_closure_assign();
+ y.shortest_path_closure_assign();
+
+ // If one of two BDSs is empty, then they are equal if and only if
+ // the other BDS is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ return euclidean_distance_assign(r, x.dbm, y.dbm, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates BD_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates BD_Shape */
+template <typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
+ return euclidean_distance_assign<To, To, T>(r, x, y, dir);
+}
+
+/*! \relates BD_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ const dimension_type x_space_dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ // Zero-dim BDSs are equal if and only if they are both empty or universe.
+ if (x_space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires shortest-path closure.
+ x.shortest_path_closure_assign();
+ y.shortest_path_closure_assign();
+
+ // If one of two BDSs is empty, then they are equal if and only if
+ // the other BDS is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ return l_infinity_distance_assign(r, x.dbm, y.dbm, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates BD_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates BD_Shape */
+template <typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
+ return l_infinity_distance_assign<To, To, T>(r, x, y, dir);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::add_dbm_constraint(const dimension_type i,
+ const dimension_type j,
+ const N& k) {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(i <= space_dimension() && j <= space_dimension() && i != j);
+ N& dbm_ij = dbm[i][j];
+ if (dbm_ij > k) {
+ dbm_ij = k;
+ if (marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ }
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::add_dbm_constraint(const dimension_type i,
+ const dimension_type j,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(i <= space_dimension() && j <= space_dimension() && i != j);
+ PPL_ASSERT(denom != 0);
+ PPL_DIRTY_TEMP(N, k);
+ div_round_up(k, numer, denom);
+ add_dbm_constraint(i, j, k);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::time_elapse_assign(const BD_Shape& y) {
+ // Dimension-compatibility check.
+ if (space_dimension() != y.space_dimension())
+ throw_dimension_incompatible("time_elapse_assign(y)", y);
+ // Compute time-elapse on polyhedra.
+ // TODO: provide a direct implementation.
+ C_Polyhedron ph_x(constraints());
+ C_Polyhedron ph_y(y.constraints());
+ ph_x.time_elapse_assign(ph_y);
+ BD_Shape<T> x(ph_x);
+ m_swap(x);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::strictly_contains(const BD_Shape& y) const {
+ const BD_Shape<T>& x = *this;
+ return x.contains(y) && !y.contains(x);
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::upper_bound_assign_if_exact(const BD_Shape& y) {
+ if (space_dimension() != y.space_dimension())
+ throw_dimension_incompatible("upper_bound_assign_if_exact(y)", y);
+#if 0
+ return BFT00_upper_bound_assign_if_exact(y);
+#else
+ const bool integer_upper_bound = false;
+ return BHZ09_upper_bound_assign_if_exact<integer_upper_bound>(y);
+#endif
+}
+
+template <typename T>
+inline bool
+BD_Shape<T>::integer_upper_bound_assign_if_exact(const BD_Shape& y) {
+ PPL_COMPILE_TIME_CHECK(std::numeric_limits<T>::is_integer,
+ "BD_Shape<T>::integer_upper_bound_assign_if_exact(y):"
+ " T in not an integer datatype.");
+ if (space_dimension() != y.space_dimension())
+ throw_dimension_incompatible("integer_upper_bound_assign_if_exact(y)", y);
+ const bool integer_upper_bound = true;
+ return BHZ09_upper_bound_assign_if_exact<integer_upper_bound>(y);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>
+::remove_higher_space_dimensions(const dimension_type new_dimension) {
+ // Dimension-compatibility check: the variable having
+ // maximum index is the one occurring last in the set.
+ const dimension_type space_dim = space_dimension();
+ if (new_dimension > space_dim)
+ throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
+ new_dimension);
+
+ // The removal of no dimensions from any BDS is a no-op.
+ // Note that this case also captures the only legal removal of
+ // dimensions from a zero-dim space BDS.
+ if (new_dimension == space_dim) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Shortest-path closure is necessary as in remove_space_dimensions().
+ shortest_path_closure_assign();
+ dbm.resize_no_copy(new_dimension + 1);
+
+ // Shortest-path closure is maintained.
+ // TODO: see whether or not reduction can be (efficiently!) maintained too.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+
+ // If we removed _all_ dimensions from a non-empty BDS,
+ // the zero-dim universe BDS has been obtained.
+ if (new_dimension == 0 && !marked_empty())
+ set_zero_dim_univ();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p,
+ unsigned complexity_threshold,
+ bool wrap_individually) {
+ Implementation::wrap_assign(*this,
+ vars, w, r, o, cs_p,
+ complexity_threshold, wrap_individually,
+ "BD_Shape");
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::CC76_extrapolation_assign(const BD_Shape& y, unsigned* tp) {
+ static N stop_points[] = {
+ N(-2, ROUND_UP),
+ N(-1, ROUND_UP),
+ N( 0, ROUND_UP),
+ N( 1, ROUND_UP),
+ N( 2, ROUND_UP)
+ };
+ CC76_extrapolation_assign(y,
+ stop_points,
+ stop_points
+ + sizeof(stop_points)/sizeof(stop_points[0]),
+ tp);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::H79_widening_assign(const BD_Shape& y, unsigned* tp) {
+ // Compute the H79 widening on polyhedra.
+ // TODO: provide a direct implementation.
+ C_Polyhedron ph_x(constraints());
+ C_Polyhedron ph_y(y.constraints());
+ ph_x.H79_widening_assign(ph_y, tp);
+ BD_Shape x(ph_x);
+ m_swap(x);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::widening_assign(const BD_Shape& y, unsigned* tp) {
+ H79_widening_assign(y, tp);
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::limited_H79_extrapolation_assign(const BD_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp) {
+ // Compute the limited H79 extrapolation on polyhedra.
+ // TODO: provide a direct implementation.
+ C_Polyhedron ph_x(constraints());
+ C_Polyhedron ph_y(y.constraints());
+ ph_x.limited_H79_extrapolation_assign(ph_y, cs, tp);
+ BD_Shape x(ph_x);
+ m_swap(x);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline memory_size_type
+BD_Shape<T>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename T>
+inline int32_t
+BD_Shape<T>::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+template <typename T>
+template <typename Interval_Info>
+inline void
+BD_Shape<T>::generalized_refine_with_linear_form_inequality(
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right,
+ const Relation_Symbol relsym) {
+ switch (relsym) {
+ case EQUAL:
+ // TODO: see if we can handle this case more efficiently.
+ refine_with_linear_form_inequality(left, right);
+ refine_with_linear_form_inequality(right, left);
+ break;
+ case LESS_THAN:
+ case LESS_OR_EQUAL:
+ refine_with_linear_form_inequality(left, right);
+ break;
+ case GREATER_THAN:
+ case GREATER_OR_EQUAL:
+ refine_with_linear_form_inequality(right, left);
+ break;
+ case NOT_EQUAL:
+ break;
+ default:
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename T>
+template <typename Interval_Info>
+inline void
+BD_Shape<T>
+::refine_fp_interval_abstract_store(Box<Interval<T, Interval_Info> >&
+ store) const {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "BD_Shape<T>::refine_fp_interval_abstract_store:"
+ " T not a floating point type.");
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+ store.intersection_assign(Box<FP_Interval_Type>(*this));
+}
+
+template <typename T>
+inline void
+BD_Shape<T>::drop_some_non_integer_points_helper(N& elem) {
+ if (!is_integer(elem)) {
+ Result r = floor_assign_r(elem, elem, ROUND_DOWN);
+ PPL_USED(r);
+ PPL_ASSERT(r == V_EQ);
+ reset_shortest_path_closed();
+ }
+}
+
+/*! \relates BD_Shape */
+template <typename T>
+inline void
+swap(BD_Shape<T>& x, BD_Shape<T>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_BD_Shape_inlines_hh)
diff --git a/src/BD_Shape_templates.hh b/src/BD_Shape_templates.hh
new file mode 100644
index 0000000..3a175c2
--- /dev/null
+++ b/src/BD_Shape_templates.hh
@@ -0,0 +1,6789 @@
+/* BD_Shape class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BD_Shape_templates_hh
+#define PPL_BD_Shape_templates_hh 1
+
+#include "Generator_System_defs.hh"
+#include "Generator_System_inlines.hh"
+#include "Congruence_System_inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Interval_defs.hh"
+#include "Linear_Form_defs.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "MIP_Problem_defs.hh"
+#include "Variables_Set_defs.hh"
+#include "Bit_Row_defs.hh"
+#include "Temp_defs.hh"
+#include "assert.hh"
+#include <vector>
+#include <deque>
+#include <iostream>
+#include <sstream>
+#include <stdexcept>
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+BD_Shape<T>::BD_Shape(const Congruence_System& cgs)
+ : dbm(cgs.space_dimension() + 1),
+ status(),
+ redundancy_dbm() {
+ add_congruences(cgs);
+}
+
+template <typename T>
+BD_Shape<T>::BD_Shape(const Generator_System& gs)
+ : dbm(gs.space_dimension() + 1), status(), redundancy_dbm() {
+ const Generator_System::const_iterator gs_begin = gs.begin();
+ const Generator_System::const_iterator gs_end = gs.end();
+ if (gs_begin == gs_end) {
+ // An empty generator system defines the empty BD shape.
+ set_empty();
+ return;
+ }
+
+ const dimension_type space_dim = space_dimension();
+ DB_Row<N>& dbm_0 = dbm[0];
+ PPL_DIRTY_TEMP(N, tmp);
+
+ bool dbm_initialized = false;
+ bool point_seen = false;
+ // Going through all the points and closure points.
+ for (Generator_System::const_iterator gs_i = gs_begin;
+ gs_i != gs_end; ++gs_i) {
+ const Generator& g = *gs_i;
+ switch (g.type()) {
+ case Generator::POINT:
+ point_seen = true;
+ // Intentionally fall through.
+ case Generator::CLOSURE_POINT:
+ if (!dbm_initialized) {
+ // When handling the first (closure) point, we initialize the DBM.
+ dbm_initialized = true;
+ const Coefficient& d = g.divisor();
+ // TODO: Check if the following loop can be optimized used
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i > 0; --i) {
+ const Coefficient& g_i = g.expression().get(Variable(i - 1));
+ DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = space_dim; j > 0; --j)
+ if (i != j) {
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(dbm_i[j], g_j - g_i, d);
+ }
+ div_round_up(dbm_i[0], -g_i, d);
+ }
+ for (dimension_type j = space_dim; j > 0; --j) {
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(dbm_0[j], g_j, d);
+ }
+ // Note: no need to initialize the first element of the main diagonal.
+ }
+ else {
+ // This is not the first point: the DBM already contains
+ // valid values and we must compute maxima.
+ const Coefficient& d = g.divisor();
+ // TODO: Check if the following loop can be optimized used
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i > 0; --i) {
+ const Coefficient& g_i = g.expression().get(Variable(i - 1));
+ DB_Row<N>& dbm_i = dbm[i];
+ // The loop correctly handles the case when i == j.
+ for (dimension_type j = space_dim; j > 0; --j) {
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(tmp, g_j - g_i, d);
+ max_assign(dbm_i[j], tmp);
+ }
+ div_round_up(tmp, -g_i, d);
+ max_assign(dbm_i[0], tmp);
+ }
+ for (dimension_type j = space_dim; j > 0; --j) {
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(tmp, g_j, d);
+ max_assign(dbm_0[j], tmp);
+ }
+ }
+ break;
+ default:
+ // Lines and rays temporarily ignored.
+ break;
+ }
+ }
+
+ if (!point_seen)
+ // The generator system is not empty, but contains no points.
+ throw_invalid_argument("BD_Shape(gs)",
+ "the non-empty generator system gs "
+ "contains no points.");
+
+ // Going through all the lines and rays.
+ for (Generator_System::const_iterator gs_i = gs_begin;
+ gs_i != gs_end; ++gs_i) {
+ const Generator& g = *gs_i;
+ switch (g.type()) {
+ case Generator::LINE:
+ // TODO: Check if the following loop can be optimized used
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i > 0; --i) {
+ const Coefficient& g_i = g.expression().get(Variable(i - 1));
+ DB_Row<N>& dbm_i = dbm[i];
+ // The loop correctly handles the case when i == j.
+ for (dimension_type j = space_dim; j > 0; --j)
+ if (g_i != g.expression().get(Variable(j - 1)))
+ assign_r(dbm_i[j], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (g_i != 0)
+ assign_r(dbm_i[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
+ i_end = g.expression().end(); i != i_end; ++i)
+ assign_r(dbm_0[i.variable().space_dimension()],
+ PLUS_INFINITY, ROUND_NOT_NEEDED);
+ break;
+ case Generator::RAY:
+ // TODO: Check if the following loop can be optimized used
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i > 0; --i) {
+ const Coefficient& g_i = g.expression().get(Variable(i - 1));
+ DB_Row<N>& dbm_i = dbm[i];
+ // The loop correctly handles the case when i == j.
+ for (dimension_type j = space_dim; j > 0; --j)
+ if (g_i < g.expression().get(Variable(j - 1)))
+ assign_r(dbm_i[j], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (g_i < 0)
+ assign_r(dbm_i[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
+ i_end = g.expression().end(); i != i_end; ++i)
+ if (*i > 0)
+ assign_r(dbm_0[i.variable().space_dimension()],
+ PLUS_INFINITY, ROUND_NOT_NEEDED);
+ break;
+ default:
+ // Points and closure points already dealt with.
+ break;
+ }
+ }
+ set_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+BD_Shape<T>::BD_Shape(const Polyhedron& ph, const Complexity_Class complexity)
+ : dbm(), status(), redundancy_dbm() {
+ const dimension_type num_dimensions = ph.space_dimension();
+
+ if (ph.marked_empty()) {
+ *this = BD_Shape<T>(num_dimensions, EMPTY);
+ return;
+ }
+
+ if (num_dimensions == 0) {
+ *this = BD_Shape<T>(num_dimensions, UNIVERSE);
+ return;
+ }
+
+ // Build from generators when we do not care about complexity
+ // or when the process has polynomial complexity.
+ if (complexity == ANY_COMPLEXITY
+ || (!ph.has_pending_constraints() && ph.generators_are_up_to_date())) {
+ *this = BD_Shape<T>(ph.generators());
+ return;
+ }
+
+ // We cannot afford exponential complexity, we do not have a complete set
+ // of generators for the polyhedron, and the polyhedron is not trivially
+ // empty or zero-dimensional. Constraints, however, are up to date.
+ PPL_ASSERT(ph.constraints_are_up_to_date());
+
+ if (!ph.has_something_pending() && ph.constraints_are_minimized()) {
+ // If the constraint system of the polyhedron is minimized,
+ // the test `is_universe()' has polynomial complexity.
+ if (ph.is_universe()) {
+ *this = BD_Shape<T>(num_dimensions, UNIVERSE);
+ return;
+ }
+ }
+
+ // See if there is at least one inconsistent constraint in `ph.con_sys'.
+ for (Constraint_System::const_iterator i = ph.con_sys.begin(),
+ cs_end = ph.con_sys.end(); i != cs_end; ++i)
+ if (i->is_inconsistent()) {
+ *this = BD_Shape<T>(num_dimensions, EMPTY);
+ return;
+ }
+
+ // If `complexity' allows it, use simplex to derive the exact (modulo
+ // the fact that our BDSs are topologically closed) variable bounds.
+ if (complexity == SIMPLEX_COMPLEXITY) {
+ MIP_Problem lp(num_dimensions);
+ lp.set_optimization_mode(MAXIMIZATION);
+
+ const Constraint_System& ph_cs = ph.constraints();
+ if (!ph_cs.has_strict_inequalities())
+ lp.add_constraints(ph_cs);
+ else
+ // Adding to `lp' a topologically closed version of `ph_cs'.
+ for (Constraint_System::const_iterator i = ph_cs.begin(),
+ ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_strict_inequality()) {
+ Linear_Expression expr(c.expression());
+ lp.add_constraint(expr >= 0);
+ }
+ else
+ lp.add_constraint(c);
+ }
+
+ // Check for unsatisfiability.
+ if (!lp.is_satisfiable()) {
+ *this = BD_Shape<T>(num_dimensions, EMPTY);
+ return;
+ }
+
+ // Start with a universe BDS that will be refined by the simplex.
+ *this = BD_Shape<T>(num_dimensions, UNIVERSE);
+ // Get all the upper bounds.
+ Generator g(point());
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ for (dimension_type i = 1; i <= num_dimensions; ++i) {
+ Variable x(i-1);
+ // Evaluate optimal upper bound for `x <= ub'.
+ lp.set_objective_function(x);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(dbm[0][i], numer, denom);
+ }
+ // Evaluate optimal upper bound for `x - y <= ub'.
+ for (dimension_type j = 1; j <= num_dimensions; ++j) {
+ if (i == j)
+ continue;
+ Variable y(j-1);
+ lp.set_objective_function(x - y);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(dbm[j][i], numer, denom);
+ }
+ }
+ // Evaluate optimal upper bound for `-x <= ub'.
+ lp.set_objective_function(-x);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(dbm[i][0], numer, denom);
+ }
+ }
+ set_shortest_path_closed();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Extract easy-to-find bounds from constraints.
+ PPL_ASSERT(complexity == POLYNOMIAL_COMPLEXITY);
+ *this = BD_Shape<T>(num_dimensions, UNIVERSE);
+ refine_with_constraints(ph.constraints());
+}
+
+template <typename T>
+dimension_type
+BD_Shape<T>::affine_dimension() const {
+ const dimension_type space_dim = space_dimension();
+ // A zero-space-dim shape always has affine dimension zero.
+ if (space_dim == 0)
+ return 0;
+
+ // Shortest-path closure is necessary to detect emptiness
+ // and all (possibly implicit) equalities.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return 0;
+
+ // The vector `predecessor' is used to represent equivalence classes:
+ // `predecessor[i] == i' if and only if `i' is the leader of its
+ // equivalence class (i.e., the minimum index in the class).
+ std::vector<dimension_type> predecessor;
+ compute_predecessors(predecessor);
+
+ // Due to the fictitious variable `0', the affine dimension is one
+ // less the number of equivalence classes.
+ dimension_type affine_dim = 0;
+ // Note: disregard the first equivalence class.
+ for (dimension_type i = 1; i <= space_dim; ++i)
+ if (predecessor[i] == i)
+ ++affine_dim;
+
+ return affine_dim;
+}
+
+template <typename T>
+Congruence_System
+BD_Shape<T>::minimized_congruences() const {
+ // Shortest-path closure is necessary to detect emptiness
+ // and all (possibly implicit) equalities.
+ shortest_path_closure_assign();
+
+ const dimension_type space_dim = space_dimension();
+ Congruence_System cgs(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cgs = Congruence_System::zero_dim_empty();
+ return cgs;
+ }
+
+ if (marked_empty()) {
+ cgs.insert(Congruence::zero_dim_false());
+ return cgs;
+ }
+
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+
+ // Compute leader information.
+ std::vector<dimension_type> leaders;
+ compute_leaders(leaders);
+
+ // Go through the non-leaders to generate equality constraints.
+ const DB_Row<N>& dbm_0 = dbm[0];
+ for (dimension_type i = 1; i <= space_dim; ++i) {
+ const dimension_type leader = leaders[i];
+ if (i != leader) {
+ // Generate the constraint relating `i' and its leader.
+ if (leader == 0) {
+ // A unary equality has to be generated.
+ PPL_ASSERT(!is_plus_infinity(dbm_0[i]));
+ numer_denom(dbm_0[i], numer, denom);
+ cgs.insert(denom*Variable(i-1) == numer);
+ }
+ else {
+ // A binary equality has to be generated.
+ PPL_ASSERT(!is_plus_infinity(dbm[i][leader]));
+ numer_denom(dbm[i][leader], numer, denom);
+ cgs.insert(denom*Variable(leader-1) - denom*Variable(i-1) == numer);
+ }
+ }
+ }
+ return cgs;
+}
+
+template <typename T>
+void
+BD_Shape<T>::add_constraint(const Constraint& c) {
+ // Dimension-compatibility check.
+ if (c.space_dimension() > space_dimension())
+ throw_dimension_incompatible("add_constraint(c)", c);
+
+ // Get rid of strict inequalities.
+ if (c.is_strict_inequality()) {
+ if (c.is_inconsistent()) {
+ set_empty();
+ return;
+ }
+ if (c.is_tautological())
+ return;
+ // Nontrivial strict inequalities are not allowed.
+ throw_invalid_argument("add_constraint(c)",
+ "strict inequalities are not allowed");
+ }
+
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ // Constraints that are not bounded differences are not allowed.
+ if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff))
+ throw_invalid_argument("add_constraint(c)",
+ "c is not a bounded difference constraint");
+
+ const Coefficient& inhomo = c.inhomogeneous_term();
+ if (num_vars == 0) {
+ // Dealing with a trivial constraint (not a strict inequality).
+ if (inhomo < 0
+ || (inhomo != 0 && c.is_equality()))
+ set_empty();
+ return;
+ }
+
+ // Select the cell to be modified for the "<=" part of the constraint,
+ // and set `coeff' to the absolute value of itself.
+ const bool negative = (coeff < 0);
+ if (negative)
+ neg_assign(coeff);
+
+ bool changed = false;
+ N& x = negative ? dbm[i][j] : dbm[j][i];
+ // Compute the bound for `x', rounding towards plus infinity.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, inhomo, coeff);
+ if (x > d) {
+ x = d;
+ changed = true;
+ }
+
+ if (c.is_equality()) {
+ N& y = negative ? dbm[j][i] : dbm[i][j];
+ // Also compute the bound for `y', rounding towards plus infinity.
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_c_term);
+ neg_assign(minus_c_term, inhomo);
+ div_round_up(d, minus_c_term, coeff);
+ if (y > d) {
+ y = d;
+ changed = true;
+ }
+ }
+
+ // In general, adding a constraint does not preserve the shortest-path
+ // closure or reduction of the bounded difference shape.
+ if (changed && marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::add_congruence(const Congruence& cg) {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ // Dimension-compatibility check:
+ // the dimension of `cg' can not be greater than space_dim.
+ if (space_dimension() < cg_space_dim)
+ throw_dimension_incompatible("add_congruence(cg)", cg);
+
+ // Handle the case of proper congruences first.
+ if (cg.is_proper_congruence()) {
+ if (cg.is_tautological())
+ return;
+ if (cg.is_inconsistent()) {
+ set_empty();
+ return;
+ }
+ // Non-trivial and proper congruences are not allowed.
+ throw_invalid_argument("add_congruence(cg)",
+ "cg is a non-trivial, proper congruence");
+ }
+
+ PPL_ASSERT(cg.is_equality());
+ Constraint c(cg);
+ add_constraint(c);
+}
+
+template <typename T>
+void
+BD_Shape<T>::refine_no_check(const Constraint& c) {
+ PPL_ASSERT(!marked_empty());
+ PPL_ASSERT(c.space_dimension() <= space_dimension());
+
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ // Constraints that are not bounded differences are ignored.
+ if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff))
+ return;
+
+ const Coefficient& inhomo = c.inhomogeneous_term();
+ if (num_vars == 0) {
+ // Dealing with a trivial constraint (might be a strict inequality).
+ if (inhomo < 0
+ || (c.is_equality() && inhomo != 0)
+ || (c.is_strict_inequality() && inhomo == 0))
+ set_empty();
+ return;
+ }
+
+ // Select the cell to be modified for the "<=" part of the constraint,
+ // and set `coeff' to the absolute value of itself.
+ const bool negative = (coeff < 0);
+ N& x = negative ? dbm[i][j] : dbm[j][i];
+ N& y = negative ? dbm[j][i] : dbm[i][j];
+ if (negative)
+ neg_assign(coeff);
+
+ bool changed = false;
+ // Compute the bound for `x', rounding towards plus infinity.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, inhomo, coeff);
+ if (x > d) {
+ x = d;
+ changed = true;
+ }
+
+ if (c.is_equality()) {
+ // Also compute the bound for `y', rounding towards plus infinity.
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_c_term);
+ neg_assign(minus_c_term, inhomo);
+ div_round_up(d, minus_c_term, coeff);
+ if (y > d) {
+ y = d;
+ changed = true;
+ }
+ }
+
+ // In general, adding a constraint does not preserve the shortest-path
+ // closure or reduction of the bounded difference shape.
+ if (changed && marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::concatenate_assign(const BD_Shape& y) {
+ BD_Shape& x = *this;
+
+ const dimension_type x_space_dim = x.space_dimension();
+ const dimension_type y_space_dim = y.space_dimension();
+
+ // If `y' is an empty 0-dim space bounded difference shape,
+ // let `*this' become empty.
+ if (y_space_dim == 0 && y.marked_empty()) {
+ set_empty();
+ return;
+ }
+
+ // If `x' is an empty 0-dim space BDS, then it is sufficient to adjust
+ // the dimension of the vector space.
+ if (x_space_dim == 0 && marked_empty()) {
+ dbm.grow(y_space_dim + 1);
+ PPL_ASSERT(OK());
+ return;
+ }
+ // First we increase the space dimension of `x' by adding
+ // `y.space_dimension()' new dimensions.
+ // The matrix for the new system of constraints is obtained
+ // by leaving the old system of constraints in the upper left-hand side
+ // and placing the constraints of `y' in the lower right-hand side,
+ // except the constraints as `y(i) >= cost' or `y(i) <= cost', that are
+ // placed in the right position on the new matrix.
+ add_space_dimensions_and_embed(y_space_dim);
+ const dimension_type new_space_dim = x_space_dim + y_space_dim;
+ for (dimension_type i = x_space_dim + 1; i <= new_space_dim; ++i) {
+ DB_Row<N>& dbm_i = dbm[i];
+ dbm_i[0] = y.dbm[i - x_space_dim][0];
+ dbm[0][i] = y.dbm[0][i - x_space_dim];
+ for (dimension_type j = x_space_dim + 1; j <= new_space_dim; ++j)
+ dbm_i[j] = y.dbm[i - x_space_dim][j - x_space_dim];
+ }
+
+ if (marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+bool
+BD_Shape<T>::contains(const BD_Shape& y) const {
+ const BD_Shape<T>& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ throw_dimension_incompatible("contains(y)", y);
+
+ if (x_space_dim == 0) {
+ // The zero-dimensional empty shape only contains another
+ // zero-dimensional empty shape.
+ // The zero-dimensional universe shape contains any other
+ // zero-dimensional shape.
+ return marked_empty() ? y.marked_empty() : true;
+ }
+
+ /*
+ The `y' bounded difference shape must be closed. As an example,
+ consider the case where in `*this' we have the constraints
+
+ x1 - x2 <= 1,
+ x1 <= 3,
+ x2 <= 2,
+
+ and in `y' the constraints are
+
+ x1 - x2 <= 0,
+ x2 <= 1.
+
+ Without closure the (erroneous) analysis of the inhomogeneous terms
+ would conclude containment does not hold. Closing `y' results into
+ the "discovery" of the implicit constraint
+
+ x1 <= 1,
+
+ at which point the inhomogeneous terms can be examined to determine
+ that containment does hold.
+ */
+ y.shortest_path_closure_assign();
+ // An empty shape is contained in any other dimension-compatible shapes.
+ if (y.marked_empty())
+ return true;
+
+ // If `x' is empty it can not contain `y' (which is not empty).
+ if (x.is_empty())
+ return false;
+
+ // `*this' contains `y' if and only if every cell of `dbm'
+ // is greater than or equal to the correspondent one of `y.dbm'.
+ for (dimension_type i = x_space_dim + 1; i-- > 0; ) {
+ const DB_Row<N>& x_dbm_i = x.dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (dimension_type j = x_space_dim + 1; j-- > 0; )
+ if (x_dbm_i[j] < y_dbm_i[j])
+ return false;
+ }
+ return true;
+}
+
+template <typename T>
+bool
+BD_Shape<T>::is_disjoint_from(const BD_Shape& y) const {
+ const dimension_type space_dim = space_dimension();
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("is_disjoint_from(y)", y);
+
+ // If one of the two bounded difference shape is empty,
+ // then the two bounded difference shape are disjoint.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return true;
+ y.shortest_path_closure_assign();
+ if (y.marked_empty())
+ return true;
+
+ // Two BDSs are disjoint when their intersection is empty.
+ // That is if and only if there exists at least a bounded difference
+ // such that the upper bound of the bounded difference in the first
+ // BD_Shape is strictly less than the lower bound of
+ // the corresponding bounded difference in the second BD_Shape
+ // or vice versa.
+ // For example: let be
+ // in `*this': -a_j_i <= v_j - v_i <= a_i_j;
+ // and in `y': -b_j_i <= v_j - v_i <= b_i_j;
+ // `*this' and `y' are disjoint if
+ // 1.) a_i_j < -b_j_i or
+ // 2.) b_i_j < -a_j_i.
+ PPL_DIRTY_TEMP(N, tmp);
+ for (dimension_type i = space_dim+1; i-- > 0; ) {
+ const DB_Row<N>& x_i = dbm[i];
+ for (dimension_type j = space_dim+1; j-- > 0; ) {
+ neg_assign_r(tmp, y.dbm[j][i], ROUND_UP);
+ if (x_i[j] < tmp)
+ return true;
+ }
+ }
+
+ return false;
+}
+
+template <typename T>
+bool
+BD_Shape<T>::is_universe() const {
+ if (marked_empty())
+ return false;
+
+ const dimension_type space_dim = space_dimension();
+ // If the BDS is non-empty and zero-dimensional,
+ // then it is necessarily the universe BDS.
+ if (space_dim == 0)
+ return true;
+
+ // A bounded difference shape defining the universe BDS can only
+ // contain trivial constraints.
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ const DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; )
+ if (!is_plus_infinity(dbm_i[j]))
+ return false;
+ }
+ return true;
+}
+
+template <typename T>
+bool
+BD_Shape<T>::is_bounded() const {
+ shortest_path_closure_assign();
+ const dimension_type space_dim = space_dimension();
+ // A zero-dimensional or empty BDS is bounded.
+ if (marked_empty() || space_dim == 0)
+ return true;
+
+ // A bounded difference shape defining the bounded BDS never can
+ // contain trivial constraints.
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ const DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; )
+ if (i != j)
+ if (is_plus_infinity(dbm_i[j]))
+ return false;
+ }
+
+ return true;
+}
+
+template <typename T>
+bool
+BD_Shape<T>::contains_integer_point() const {
+ // Force shortest-path closure.
+ if (is_empty())
+ return false;
+
+ const dimension_type space_dim = space_dimension();
+ if (space_dim == 0)
+ return true;
+
+ // A non-empty BD_Shape defined by integer constraints
+ // necessarily contains an integer point.
+ if (std::numeric_limits<T>::is_integer)
+ return true;
+
+ // Build an integer BD_Shape z with bounds at least as tight as
+ // those in *this and then recheck for emptiness.
+ BD_Shape<mpz_class> bds_z(space_dim);
+ typedef BD_Shape<mpz_class>::N Z;
+ bds_z.reset_shortest_path_closed();
+ PPL_DIRTY_TEMP(N, tmp);
+ bool all_integers = true;
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<Z>& z_i = bds_z.dbm[i];
+ const DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ const N& dbm_i_j = dbm_i[j];
+ if (is_plus_infinity(dbm_i_j))
+ continue;
+ if (is_integer(dbm_i_j))
+ assign_r(z_i[j], dbm_i_j, ROUND_NOT_NEEDED);
+ else {
+ all_integers = false;
+ Z& z_i_j = z_i[j];
+ // Copy dbm_i_j into z_i_j, but rounding downwards.
+ neg_assign_r(tmp, dbm_i_j, ROUND_NOT_NEEDED);
+ assign_r(z_i_j, tmp, ROUND_UP);
+ neg_assign_r(z_i_j, z_i_j, ROUND_NOT_NEEDED);
+ }
+ }
+ }
+ return all_integers || !bds_z.is_empty();
+}
+
+template <typename T>
+bool
+BD_Shape<T>::frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const {
+ dimension_type space_dim = space_dimension();
+ // The dimension of `expr' must be at most the dimension of *this.
+ if (space_dim < expr.space_dimension())
+ throw_dimension_incompatible("frequency(e, ...)", "e", expr);
+
+ // Check if `expr' has a constant value.
+ // If it is constant, set the frequency `freq_n' to 0
+ // and return true. Otherwise the values for \p expr
+ // are not discrete so return false.
+
+ // Space dimension is 0: if empty, then return false;
+ // otherwise the frequency is 0 and the value is the inhomogeneous term.
+ if (space_dim == 0) {
+ if (is_empty())
+ return false;
+ freq_n = 0;
+ freq_d = 1;
+ val_n = expr.inhomogeneous_term();
+ val_d = 1;
+ return true;
+ }
+
+ shortest_path_closure_assign();
+ // For an empty BD shape, we simply return false.
+ if (marked_empty())
+ return false;
+
+ // The BD shape has at least 1 dimension and is not empty.
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ PPL_DIRTY_TEMP(N, tmp);
+ Linear_Expression le = expr;
+ // Boolean to keep track of a variable `v' in expression `le'.
+ // If we can replace `v' by an expression using variables other
+ // than `v' and are already in `le', then this is set to true.
+
+ PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
+ val_denom = 1;
+
+ // TODO: This loop can be optimized more, if needed, exploiting the
+ // (possible) sparseness of le.
+ for (dimension_type i = dbm.num_rows(); i-- > 1; ) {
+ const Variable v(i-1);
+ coeff = le.coefficient(v);
+ if (coeff == 0)
+ continue;
+
+ const DB_Row<N>& dbm_i = dbm[i];
+ // Check if `v' is constant in the BD shape.
+ assign_r(tmp, dbm_i[0], ROUND_NOT_NEEDED);
+ if (is_additive_inverse(dbm[0][i], tmp)) {
+ // If `v' is constant, replace it in `le' by the value.
+ numer_denom(tmp, numer, denom);
+ sub_mul_assign(le, coeff, v);
+ le *= denom;
+ le -= numer*coeff;
+ val_denom *= denom;
+ continue;
+ }
+ // Check the bounded differences with the other dimensions that
+ // have non-zero coefficient in `le'.
+ else {
+ bool constant_v = false;
+ for (Linear_Expression::const_iterator j = le.begin(),
+ j_end = le.lower_bound(Variable(i - 1)); j != j_end; ++j) {
+ const Variable vj = j.variable();
+ const dimension_type j_dim = vj.space_dimension();
+ assign_r(tmp, dbm_i[j_dim], ROUND_NOT_NEEDED);
+ if (is_additive_inverse(dbm[j_dim][i], tmp)) {
+ // The coefficient for `vj' in `le' is not 0
+ // and the difference with `v' in the BD shape is constant.
+ // So apply this equality to eliminate `v' in `le'.
+ numer_denom(tmp, numer, denom);
+ // Modifying le invalidates the iterators, but it's not a problem
+ // since we are going to exit the loop.
+ sub_mul_assign(le, coeff, v);
+ add_mul_assign(le, coeff, vj);
+ le *= denom;
+ le -= numer*coeff;
+ val_denom *= denom;
+ constant_v = true;
+ break;
+ }
+ }
+ if (!constant_v)
+ // The expression `expr' is not constant.
+ return false;
+ }
+ }
+
+ // The expression `expr' is constant.
+ freq_n = 0;
+ freq_d = 1;
+
+ // Reduce `val_n' and `val_d'.
+ normalize2(le.inhomogeneous_term(), val_denom, val_n, val_d);
+ return true;
+}
+
+template <typename T>
+bool
+BD_Shape<T>::constrains(const Variable var) const {
+ // `var' should be one of the dimensions of the BD shape.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dimension() < var_space_dim)
+ throw_dimension_incompatible("constrains(v)", "v", var);
+
+ shortest_path_closure_assign();
+ // A BD shape known to be empty constrains all variables.
+ // (Note: do not force emptiness check _yet_)
+ if (marked_empty())
+ return true;
+
+ // Check whether `var' is syntactically constrained.
+ const DB_Row<N>& dbm_v = dbm[var_space_dim];
+ for (dimension_type i = dbm.num_rows(); i-- > 0; ) {
+ if (!is_plus_infinity(dbm_v[i])
+ || !is_plus_infinity(dbm[i][var_space_dim]))
+ return true;
+ }
+
+ // `var' is not syntactically constrained:
+ // now force an emptiness check.
+ return is_empty();
+}
+
+template <typename T>
+void
+BD_Shape<T>
+::compute_predecessors(std::vector<dimension_type>& predecessor) const {
+ PPL_ASSERT(!marked_empty() && marked_shortest_path_closed());
+ PPL_ASSERT(predecessor.size() == 0);
+ // Variables are ordered according to their index.
+ // The vector `predecessor' is used to indicate which variable
+ // immediately precedes a given one in the corresponding equivalence class.
+ // The `leader' of an equivalence class is the element having minimum
+ // index: leaders are their own predecessors.
+ const dimension_type predecessor_size = dbm.num_rows();
+ // Initially, each variable is leader of its own zero-equivalence class.
+ predecessor.reserve(predecessor_size);
+ for (dimension_type i = 0; i < predecessor_size; ++i)
+ predecessor.push_back(i);
+ // Now compute actual predecessors.
+ for (dimension_type i = predecessor_size; i-- > 1; )
+ if (i == predecessor[i]) {
+ const DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = i; j-- > 0; )
+ if (j == predecessor[j]
+ && is_additive_inverse(dbm[j][i], dbm_i[j])) {
+ // Choose as predecessor the variable having the smaller index.
+ predecessor[i] = j;
+ break;
+ }
+ }
+}
+
+template <typename T>
+void
+BD_Shape<T>::compute_leaders(std::vector<dimension_type>& leaders) const {
+ PPL_ASSERT(!marked_empty() && marked_shortest_path_closed());
+ PPL_ASSERT(leaders.size() == 0);
+ // Compute predecessor information.
+ compute_predecessors(leaders);
+ // Flatten the predecessor chains so as to obtain leaders.
+ PPL_ASSERT(leaders[0] == 0);
+ for (dimension_type i = 1, l_size = leaders.size(); i != l_size; ++i) {
+ const dimension_type leaders_i = leaders[i];
+ PPL_ASSERT(leaders_i <= i);
+ if (leaders_i != i) {
+ const dimension_type leaders_leaders_i = leaders[leaders_i];
+ PPL_ASSERT(leaders_leaders_i == leaders[leaders_leaders_i]);
+ leaders[i] = leaders_leaders_i;
+ }
+ }
+}
+
+template <typename T>
+bool
+BD_Shape<T>::is_shortest_path_reduced() const {
+ // If the BDS is empty, it is also reduced.
+ if (marked_empty())
+ return true;
+
+ const dimension_type space_dim = space_dimension();
+ // Zero-dimensional BDSs are necessarily reduced.
+ if (space_dim == 0)
+ return true;
+
+ // A shortest-path reduced dbm is just a dbm with an indication of
+ // those constraints that are redundant. If there is no indication
+ // of the redundant constraints, then it cannot be reduced.
+ if (!marked_shortest_path_reduced())
+ return false;
+
+ const BD_Shape x_copy = *this;
+ x_copy.shortest_path_closure_assign();
+ // If we just discovered emptiness, it cannot be reduced.
+ if (x_copy.marked_empty())
+ return false;
+
+ // The vector `leader' is used to indicate which variables are equivalent.
+ std::vector<dimension_type> leader(space_dim + 1);
+
+ // We store the leader.
+ for (dimension_type i = space_dim + 1; i-- > 0; )
+ leader[i] = i;
+
+ // Step 1: we store really the leader with the corrected value.
+ // We search for the equivalent or zero-equivalent variables.
+ // The variable(i-1) and variable(j-1) are equivalent if and only if
+ // m_i_j == -(m_j_i).
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ const DB_Row<N>& x_copy_dbm_i = x_copy.dbm[i];
+ for (dimension_type j = i + 1; j <= space_dim; ++j)
+ if (is_additive_inverse(x_copy.dbm[j][i], x_copy_dbm_i[j]))
+ // Two equivalent variables have got the same leader
+ // (the smaller variable).
+ leader[j] = leader[i];
+ }
+
+ // Step 2: we check if there are redundant constraints in the zero_cycle
+ // free bounded difference shape, considering only the leaders.
+ // A constraint `c' is redundant, when there are two constraints such that
+ // their sum is the same constraint with the inhomogeneous term
+ // less than or equal to the `c' one.
+ PPL_DIRTY_TEMP(N, c);
+ for (dimension_type k = 0; k <= space_dim; ++k)
+ if (leader[k] == k) {
+ const DB_Row<N>& x_k = x_copy.dbm[k];
+ for (dimension_type i = 0; i <= space_dim; ++i)
+ if (leader[i] == i) {
+ const DB_Row<N>& x_i = x_copy.dbm[i];
+ const Bit_Row& redundancy_i = redundancy_dbm[i];
+ const N& x_i_k = x_i[k];
+ for (dimension_type j = 0; j <= space_dim; ++j)
+ if (leader[j] == j) {
+ const N& x_i_j = x_i[j];
+ if (!is_plus_infinity(x_i_j)) {
+ add_assign_r(c, x_i_k, x_k[j], ROUND_UP);
+ if (x_i_j >= c && !redundancy_i[j])
+ return false;
+ }
+ }
+ }
+ }
+
+ // The vector `var_conn' is used to check if there is a single cycle
+ // that connected all zero-equivalent variables between them.
+ // The value `space_dim + 1' is used to indicate that the equivalence
+ // class contains a single variable.
+ std::vector<dimension_type> var_conn(space_dim + 1);
+ for (dimension_type i = space_dim + 1; i-- > 0; )
+ var_conn[i] = space_dim + 1;
+
+ // Step 3: we store really the `var_conn' with the right value, putting
+ // the variable with the selected variable is connected:
+ // we check the row of each variable:
+ // a- each leader could be connected with only zero-equivalent one,
+ // b- each non-leader with only another zero-equivalent one.
+ for (dimension_type i = 0; i <= space_dim; ++i) {
+ // It count with how many variables the selected variable is
+ // connected.
+ dimension_type t = 0;
+ dimension_type leader_i = leader[i];
+ // Case a: leader.
+ if (leader_i == i) {
+ for (dimension_type j = 0; j <= space_dim; ++j) {
+ dimension_type leader_j = leader[j];
+ // Only the connectedness with equivalent variables
+ // is considered.
+ if (j != leader_j)
+ if (!redundancy_dbm[i][j]) {
+ if (t == 1)
+ // Two non-leaders cannot be connected with the same leader.
+ return false;
+ else
+ if (leader_j != i)
+ // The variables are not in the same equivalence class.
+ return false;
+ else {
+ ++t;
+ var_conn[i] = j;
+ }
+ }
+ }
+ }
+ // Case b: non-leader.
+ else {
+ for (dimension_type j = 0; j <= space_dim; ++j) {
+ if (!redundancy_dbm[i][j]) {
+ dimension_type leader_j = leader[j];
+ if (leader_i != leader_j)
+ // The variables are not in the same equivalence class.
+ return false;
+ else {
+ if (t == 1)
+ // The variables cannot be connected with the same leader.
+ return false;
+ else {
+ ++t;
+ var_conn[i] = j;
+ }
+ }
+ // A non-leader must be connected with
+ // another variable.
+ if (t == 0)
+ return false;
+ }
+ }
+ }
+ }
+
+ // The vector `just_checked' is used to check if
+ // a variable is already checked.
+ std::vector<bool> just_checked(space_dim + 1);
+ for (dimension_type i = space_dim + 1; i-- > 0; )
+ just_checked[i] = false;
+
+ // Step 4: we check if there are single cycles that
+ // connected all the zero-equivalent variables between them.
+ for (dimension_type i = 0; i <= space_dim; ++i) {
+ // We do not re-check the already considered single cycles.
+ if (!just_checked[i]) {
+ dimension_type v_con = var_conn[i];
+ // We consider only the equivalence classes with
+ // 2 or plus variables.
+ if (v_con != space_dim + 1) {
+ // There is a single cycle if taken a variable,
+ // we return to this same variable.
+ while (v_con != i) {
+ just_checked[v_con] = true;
+ v_con = var_conn[v_con];
+ // If we re-pass to an already considered variable,
+ // then we haven't a single cycle.
+ if (just_checked[v_con])
+ return false;
+ }
+ }
+ }
+ just_checked[i] = true;
+ }
+
+ // The system bounded differences is just reduced.
+ return true;
+}
+
+template <typename T>
+bool
+BD_Shape<T>::bounds(const Linear_Expression& expr,
+ const bool from_above) const {
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ const dimension_type space_dim = space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((from_above
+ ? "bounds_from_above(e)"
+ : "bounds_from_below(e)"), "e", expr);
+
+ shortest_path_closure_assign();
+ // A zero-dimensional or empty BDS bounds everything.
+ if (space_dim == 0 || marked_empty())
+ return true;
+
+ // The constraint `c' is used to check if `expr' is a difference
+ // bounded and, in this case, to select the cell.
+ const Constraint& c = from_above ? expr <= 0 : expr >= 0;
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ // Check if `c' is a BD constraint.
+ if (BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
+ if (num_vars == 0)
+ // Dealing with a trivial constraint.
+ return true;
+ // Select the cell to be checked.
+ const N& x = (coeff < 0) ? dbm[i][j] : dbm[j][i];
+ return !is_plus_infinity(x);
+ }
+ else {
+ // Not a DB constraint: use the MIP solver.
+ Optimization_Mode mode_bounds
+ = from_above ? MAXIMIZATION : MINIMIZATION;
+ MIP_Problem mip(space_dim, constraints(), expr, mode_bounds);
+ // Problem is known to be feasible.
+ return mip.solve() == OPTIMIZED_MIP_PROBLEM;
+ }
+}
+
+template <typename T>
+bool
+BD_Shape<T>::max_min(const Linear_Expression& expr,
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included) const {
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((maximize
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
+ // Deal with zero-dim BDS first.
+ if (space_dim == 0) {
+ if (marked_empty())
+ return false;
+ else {
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ return true;
+ }
+ }
+
+ shortest_path_closure_assign();
+ // For an empty BDS we simply return false.
+ if (marked_empty())
+ return false;
+
+ // The constraint `c' is used to check if `expr' is a difference
+ // bounded and, in this case, to select the cell.
+ const Constraint& c = maximize ? expr <= 0 : expr >= 0;
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ // Check if `c' is a BD constraint.
+ if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
+ Optimization_Mode mode_max_min
+ = maximize ? MAXIMIZATION : MINIMIZATION;
+ MIP_Problem mip(space_dim, constraints(), expr, mode_max_min);
+ if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
+ mip.optimal_value(ext_n, ext_d);
+ included = true;
+ return true;
+ }
+ else
+ // Here`expr' is unbounded in `*this'.
+ return false;
+ }
+ else {
+ // Here `expr' is a bounded difference.
+ if (num_vars == 0) {
+ // Dealing with a trivial expression.
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ return true;
+ }
+
+ // Select the cell to be checked.
+ const N& x = (coeff < 0) ? dbm[i][j] : dbm[j][i];
+ if (!is_plus_infinity(x)) {
+ // Compute the maximize/minimize of `expr'.
+ PPL_DIRTY_TEMP(N, d);
+ const Coefficient& b = expr.inhomogeneous_term();
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = maximize ? b : minus_b;
+ assign_r(d, sc_b, ROUND_UP);
+ // Set `coeff_expr' to the absolute value of coefficient of
+ // a variable in `expr'.
+ PPL_DIRTY_TEMP(N, coeff_expr);
+ PPL_ASSERT(i != 0);
+ const Coefficient& coeff_i = expr.get(Variable(i - 1));
+ const int sign_i = sgn(coeff_i);
+ if (sign_i > 0)
+ assign_r(coeff_expr, coeff_i, ROUND_UP);
+ else {
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_coeff_i);
+ neg_assign(minus_coeff_i, coeff_i);
+ assign_r(coeff_expr, minus_coeff_i, ROUND_UP);
+ }
+ // Approximating the maximum/minimum of `expr'.
+ add_mul_assign_r(d, coeff_expr, x, ROUND_UP);
+ numer_denom(d, ext_n, ext_d);
+ if (!maximize)
+ neg_assign(ext_n);
+ included = true;
+ return true;
+ }
+
+ // `expr' is unbounded.
+ return false;
+ }
+}
+
+template <typename T>
+bool
+BD_Shape<T>::max_min(const Linear_Expression& expr,
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included,
+ Generator& g) const {
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((maximize
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
+ // Deal with zero-dim BDS first.
+ if (space_dim == 0) {
+ if (marked_empty())
+ return false;
+ else {
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ g = point();
+ return true;
+ }
+ }
+
+ shortest_path_closure_assign();
+ // For an empty BDS we simply return false.
+ if (marked_empty())
+ return false;
+
+ Optimization_Mode mode_max_min
+ = maximize ? MAXIMIZATION : MINIMIZATION;
+ MIP_Problem mip(space_dim, constraints(), expr, mode_max_min);
+ if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = mip.optimizing_point();
+ mip.evaluate_objective_function(g, ext_n, ext_d);
+ included = true;
+ return true;
+ }
+ // Here `expr' is unbounded in `*this'.
+ return false;
+}
+
+template <typename T>
+Poly_Con_Relation
+BD_Shape<T>::relation_with(const Congruence& cg) const {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (cg.space_dimension() > space_dim)
+ throw_dimension_incompatible("relation_with(cg)", cg);
+
+ // If the congruence is an equality, find the relation with
+ // the equivalent equality constraint.
+ if (cg.is_equality()) {
+ Constraint c(cg);
+ return relation_with(c);
+ }
+
+ shortest_path_closure_assign();
+
+ if (marked_empty())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint();
+
+ if (space_dim == 0) {
+ if (cg.is_inconsistent())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ }
+
+ // Find the lower bound for a hyperplane with direction
+ // defined by the congruence.
+ Linear_Expression le = Linear_Expression(cg.expression());
+ PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
+ bool min_included;
+ bool bounded_below = minimize(le, min_numer, min_denom, min_included);
+
+ // If there is no lower bound, then some of the hyperplanes defined by
+ // the congruence will strictly intersect the shape.
+ if (!bounded_below)
+ return Poly_Con_Relation::strictly_intersects();
+
+ // TODO: Consider adding a max_and_min() method, performing both
+ // maximization and minimization so as to possibly exploit
+ // incrementality of the MIP solver.
+
+ // Find the upper bound for a hyperplane with direction
+ // defined by the congruence.
+ PPL_DIRTY_TEMP_COEFFICIENT(max_numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(max_denom);
+ bool max_included;
+ bool bounded_above = maximize(le, max_numer, max_denom, max_included);
+
+ // If there is no upper bound, then some of the hyperplanes defined by
+ // the congruence will strictly intersect the shape.
+ if (!bounded_above)
+ return Poly_Con_Relation::strictly_intersects();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(signed_distance);
+
+ // Find the position value for the hyperplane that satisfies the congruence
+ // and is above the lower bound for the shape.
+ PPL_DIRTY_TEMP_COEFFICIENT(min_value);
+ min_value = min_numer / min_denom;
+ const Coefficient& modulus = cg.modulus();
+ signed_distance = min_value % modulus;
+ min_value -= signed_distance;
+ if (min_value * min_denom < min_numer)
+ min_value += modulus;
+
+ // Find the position value for the hyperplane that satisfies the congruence
+ // and is below the upper bound for the shape.
+ PPL_DIRTY_TEMP_COEFFICIENT(max_value);
+ max_value = max_numer / max_denom;
+ signed_distance = max_value % modulus;
+ max_value += signed_distance;
+ if (max_value * max_denom > max_numer)
+ max_value -= modulus;
+
+ // If the upper bound value is less than the lower bound value,
+ // then there is an empty intersection with the congruence;
+ // otherwise it will strictly intersect.
+ if (max_value < min_value)
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+}
+
+
+template <typename T>
+Poly_Con_Relation
+BD_Shape<T>::relation_with(const Constraint& c) const {
+ const dimension_type c_space_dim = c.space_dimension();
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dim)
+ throw_dimension_incompatible("relation_with(c)", c);
+
+ shortest_path_closure_assign();
+
+ if (marked_empty())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint();
+
+ if (space_dim == 0) {
+ if ((c.is_equality() && c.inhomogeneous_term() != 0)
+ || (c.is_inequality() && c.inhomogeneous_term() < 0))
+ return Poly_Con_Relation::is_disjoint();
+ else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
+ // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
+ // thus, the zero-dimensional point also saturates it.
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else if (c.is_equality() || c.inhomogeneous_term() == 0)
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ else
+ // The zero-dimensional point saturates
+ // neither the positivity constraint 1 >= 0,
+ // nor the strict positivity constraint 1 > 0.
+ return Poly_Con_Relation::is_included();
+ }
+
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ if (!BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
+ // Constraints that are not bounded differences.
+ // Use maximize() and minimize() to do much of the work.
+
+ // Find the linear expression for the constraint and use that to
+ // find if the expression is bounded from above or below and if it
+ // is, find the maximum and minimum values.
+ Linear_Expression le(c.expression());
+ le.set_inhomogeneous_term(Coefficient_zero());
+
+ PPL_DIRTY_TEMP(Coefficient, max_numer);
+ PPL_DIRTY_TEMP(Coefficient, max_denom);
+ bool max_included;
+ PPL_DIRTY_TEMP(Coefficient, min_numer);
+ PPL_DIRTY_TEMP(Coefficient, min_denom);
+ bool min_included;
+ bool bounded_above = maximize(le, max_numer, max_denom, max_included);
+ bool bounded_below = minimize(le, min_numer, min_denom, min_included);
+ if (!bounded_above) {
+ if (!bounded_below)
+ return Poly_Con_Relation::strictly_intersects();
+ min_numer += c.inhomogeneous_term() * min_denom;
+ switch (sgn(min_numer)) {
+ case 1:
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_included();
+ case 0:
+ if (c.is_strict_inequality() || c.is_equality())
+ return Poly_Con_Relation::strictly_intersects();
+ return Poly_Con_Relation::is_included();
+ case -1:
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ }
+ if (!bounded_below) {
+ max_numer += c.inhomogeneous_term() * max_denom;
+ switch (sgn(max_numer)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ else {
+ max_numer += c.inhomogeneous_term() * max_denom;
+ min_numer += c.inhomogeneous_term() * min_denom;
+ switch (sgn(max_numer)) {
+ case 1:
+ switch (sgn(min_numer)) {
+ case 1:
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_included();
+ case 0:
+ if (c.is_equality())
+ return Poly_Con_Relation::strictly_intersects();
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::strictly_intersects();
+ return Poly_Con_Relation::is_included();
+ case -1:
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ PPL_UNREACHABLE;
+ break;
+ case 0:
+ if (min_numer == 0) {
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates();
+ return Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates();
+ }
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ }
+
+ // Constraints that are bounded differences.
+ if (num_vars == 0) {
+ // Dealing with a trivial constraint.
+ switch (sgn(c.inhomogeneous_term())) {
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ case 0:
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ case 1:
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::is_included();
+ }
+ }
+
+ // Select the cell to be checked for the "<=" part of the constraint,
+ // and set `coeff' to the absolute value of itself.
+ const bool negative = (coeff < 0);
+ const N& x = negative ? dbm[i][j] : dbm[j][i];
+ const N& y = negative ? dbm[j][i] : dbm[i][j];
+ if (negative)
+ neg_assign(coeff);
+ // Deduce the relation/s of the constraint `c' of the form
+ // `coeff*v - coeff*u </<=/== c.inhomogeneous_term()'
+ // with the respectively constraints in `*this'
+ // `-y <= v - u <= x'.
+ // Let `d == c.inhomogeneous_term()/coeff'
+ // and `d1 == -c.inhomogeneous_term()/coeff'.
+ // The following variables of mpq_class type are used to be precise
+ // when the bds is defined by integer constraints.
+ PPL_DIRTY_TEMP(mpq_class, q_x);
+ PPL_DIRTY_TEMP(mpq_class, q_y);
+ PPL_DIRTY_TEMP(mpq_class, d);
+ PPL_DIRTY_TEMP(mpq_class, d1);
+ PPL_DIRTY_TEMP(mpq_class, c_denom);
+ PPL_DIRTY_TEMP(mpq_class, q_denom);
+ assign_r(c_denom, coeff, ROUND_NOT_NEEDED);
+ assign_r(d, c.inhomogeneous_term(), ROUND_NOT_NEEDED);
+ neg_assign_r(d1, d, ROUND_NOT_NEEDED);
+ div_assign_r(d, d, c_denom, ROUND_NOT_NEEDED);
+ div_assign_r(d1, d1, c_denom, ROUND_NOT_NEEDED);
+
+ if (is_plus_infinity(x)) {
+ if (!is_plus_infinity(y)) {
+ // `*this' is in the following form:
+ // `-y <= v - u'.
+ // In this case `*this' is disjoint from `c' if
+ // `-y > d' (`-y >= d' if c is a strict equality), i.e. if
+ // `y < d1' (`y <= d1' if c is a strict equality).
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ numer_denom(y, numer, denom);
+ assign_r(q_denom, denom, ROUND_NOT_NEEDED);
+ assign_r(q_y, numer, ROUND_NOT_NEEDED);
+ div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
+ if (q_y < d1)
+ return Poly_Con_Relation::is_disjoint();
+ if (q_y == d1 && c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ }
+
+ // In all other cases `*this' intersects `c'.
+ return Poly_Con_Relation::strictly_intersects();
+ }
+
+ // Here `x' is not plus-infinity.
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ numer_denom(x, numer, denom);
+ assign_r(q_denom, denom, ROUND_NOT_NEEDED);
+ assign_r(q_x, numer, ROUND_NOT_NEEDED);
+ div_assign_r(q_x, q_x, q_denom, ROUND_NOT_NEEDED);
+
+ if (!is_plus_infinity(y)) {
+ numer_denom(y, numer, denom);
+ assign_r(q_denom, denom, ROUND_NOT_NEEDED);
+ assign_r(q_y, numer, ROUND_NOT_NEEDED);
+ div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
+ if (q_x == d && q_y == d1) {
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ }
+ // `*this' is disjoint from `c' when
+ // `-y > d' (`-y >= d' if c is a strict equality), i.e. if
+ // `y < d1' (`y <= d1' if c is a strict equality).
+ if (q_y < d1)
+ return Poly_Con_Relation::is_disjoint();
+ if (q_y == d1 && c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ }
+
+ // Here `y' can be also plus-infinity.
+ // If `c' is an equality, `*this' is disjoint from `c' if
+ // `x < d'.
+ if (d > q_x) {
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::is_included();
+ }
+
+ if (d == q_x && c.is_nonstrict_inequality())
+ return Poly_Con_Relation::is_included();
+
+ // In all other cases `*this' intersects `c'.
+ return Poly_Con_Relation::strictly_intersects();
+}
+
+template <typename T>
+Poly_Gen_Relation
+BD_Shape<T>::relation_with(const Generator& g) const {
+ const dimension_type space_dim = space_dimension();
+ const dimension_type g_space_dim = g.space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim < g_space_dim)
+ throw_dimension_incompatible("relation_with(g)", g);
+
+ shortest_path_closure_assign();
+ // The empty BDS cannot subsume a generator.
+ if (marked_empty())
+ return Poly_Gen_Relation::nothing();
+
+ // A universe BDS in a zero-dimensional space subsumes
+ // all the generators of a zero-dimensional space.
+ if (space_dim == 0)
+ return Poly_Gen_Relation::subsumes();
+
+ const bool is_line = g.is_line();
+ const bool is_line_or_ray = g.is_line_or_ray();
+
+ // The relation between the BDS and the given generator is obtained
+ // checking if the generator satisfies all the constraints in the BDS.
+ // To check if the generator satisfies all the constraints it's enough
+ // studying the sign of the scalar product between the generator and
+ // all the constraints in the BDS.
+
+ // Allocation of temporaries done once and for all.
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ PPL_DIRTY_TEMP_COEFFICIENT(product);
+ // We find in `*this' all the constraints.
+ // TODO: This loop can be optimized more, if needed.
+ for (dimension_type i = 0; i <= space_dim; ++i) {
+ const Coefficient& g_coeff_y = (i > g_space_dim || i == 0)
+ ? Coefficient_zero() : g.coefficient(Variable(i-1));
+ const DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = i + 1; j <= space_dim; ++j) {
+ const Coefficient& g_coeff_x = (j > g_space_dim)
+ ? Coefficient_zero() : g.coefficient(Variable(j-1));
+ const N& dbm_ij = dbm_i[j];
+ const N& dbm_ji = dbm[j][i];
+ if (is_additive_inverse(dbm_ji, dbm_ij)) {
+ // We have one equality constraint: denom*x - denom*y = numer.
+ // Compute the scalar product.
+ numer_denom(dbm_ij, numer, denom);
+ product = g_coeff_y;
+ product -= g_coeff_x;
+ product *= denom;
+ if (!is_line_or_ray)
+ add_mul_assign(product, numer, g.divisor());
+ if (product != 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ else {
+ // We have 0, 1 or 2 binary inequality constraint/s.
+ if (!is_plus_infinity(dbm_ij)) {
+ // We have the binary inequality constraint:
+ // denom*x - denom*y <= numer.
+ // Compute the scalar product.
+ numer_denom(dbm_ij, numer, denom);
+ product = g_coeff_y;
+ product -= g_coeff_x;
+ product *= denom;
+ if (!is_line_or_ray)
+ add_mul_assign(product, numer, g.divisor());
+ if (is_line) {
+ if (product != 0)
+ // Lines must saturate all constraints.
+ return Poly_Gen_Relation::nothing();
+ }
+ else
+ // `g' is either a ray, a point or a closure point.
+ if (product < 0)
+ return Poly_Gen_Relation::nothing();
+ }
+
+ if (!is_plus_infinity(dbm_ji)) {
+ // We have the binary inequality constraint: denom*y - denom*x <= b.
+ // Compute the scalar product.
+ numer_denom(dbm_ji, numer, denom);
+ product = 0;
+ add_mul_assign(product, denom, g_coeff_x);
+ add_mul_assign(product, -denom, g_coeff_y);
+ if (!is_line_or_ray)
+ add_mul_assign(product, numer, g.divisor());
+ if (is_line) {
+ if (product != 0)
+ // Lines must saturate all constraints.
+ return Poly_Gen_Relation::nothing();
+ }
+ else
+ // `g' is either a ray, a point or a closure point.
+ if (product < 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ }
+ }
+ }
+
+ // The generator satisfies all the constraints.
+ return Poly_Gen_Relation::subsumes();
+}
+
+template <typename T>
+void
+BD_Shape<T>::shortest_path_closure_assign() const {
+ // Do something only if necessary.
+ if (marked_empty() || marked_shortest_path_closed())
+ return;
+ const dimension_type num_dimensions = space_dimension();
+ // Zero-dimensional BDSs are necessarily shortest-path closed.
+ if (num_dimensions == 0)
+ return;
+
+ // Even though the BDS will not change, its internal representation
+ // is going to be modified by the Floyd-Warshall algorithm.
+ BD_Shape& x = const_cast<BD_Shape<T>&>(*this);
+
+ // Fill the main diagonal with zeros.
+ for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
+ PPL_ASSERT(is_plus_infinity(x.dbm[h][h]));
+ assign_r(x.dbm[h][h], 0, ROUND_NOT_NEEDED);
+ }
+
+ PPL_DIRTY_TEMP(N, sum);
+ for (dimension_type k = num_dimensions + 1; k-- > 0; ) {
+ const DB_Row<N>& x_dbm_k = x.dbm[k];
+ for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
+ DB_Row<N>& x_dbm_i = x.dbm[i];
+ const N& x_dbm_i_k = x_dbm_i[k];
+ if (!is_plus_infinity(x_dbm_i_k))
+ for (dimension_type j = num_dimensions + 1; j-- > 0; ) {
+ const N& x_dbm_k_j = x_dbm_k[j];
+ if (!is_plus_infinity(x_dbm_k_j)) {
+ // Rounding upward for correctness.
+ add_assign_r(sum, x_dbm_i_k, x_dbm_k_j, ROUND_UP);
+ min_assign(x_dbm_i[j], sum);
+ }
+ }
+ }
+ }
+
+ // Check for emptiness: the BDS is empty if and only if there is a
+ // negative value on the main diagonal of `dbm'.
+ for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
+ N& x_dbm_hh = x.dbm[h][h];
+ if (sgn(x_dbm_hh) < 0) {
+ x.set_empty();
+ return;
+ }
+ else {
+ PPL_ASSERT(sgn(x_dbm_hh) == 0);
+ // Restore PLUS_INFINITY on the main diagonal.
+ assign_r(x_dbm_hh, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+
+ // The BDS is not empty and it is now shortest-path closed.
+ x.set_shortest_path_closed();
+}
+
+template <typename T>
+void
+BD_Shape<T>::incremental_shortest_path_closure_assign(Variable var) const {
+ // Do something only if necessary.
+ if (marked_empty() || marked_shortest_path_closed())
+ return;
+ const dimension_type num_dimensions = space_dimension();
+ PPL_ASSERT(var.id() < num_dimensions);
+
+ // Even though the BDS will not change, its internal representation
+ // is going to be modified by the incremental Floyd-Warshall algorithm.
+ BD_Shape& x = const_cast<BD_Shape&>(*this);
+
+ // Fill the main diagonal with zeros.
+ for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
+ PPL_ASSERT(is_plus_infinity(x.dbm[h][h]));
+ assign_r(x.dbm[h][h], 0, ROUND_NOT_NEEDED);
+ }
+
+ // Using the incremental Floyd-Warshall algorithm.
+ PPL_DIRTY_TEMP(N, sum);
+ const dimension_type v = var.id() + 1;
+ DB_Row<N>& x_v = x.dbm[v];
+ // Step 1: Improve all constraints on variable `var'.
+ for (dimension_type k = num_dimensions + 1; k-- > 0; ) {
+ DB_Row<N>& x_k = x.dbm[k];
+ const N& x_v_k = x_v[k];
+ const N& x_k_v = x_k[v];
+ const bool x_v_k_finite = !is_plus_infinity(x_v_k);
+ const bool x_k_v_finite = !is_plus_infinity(x_k_v);
+ // Specialize inner loop based on finiteness info.
+ if (x_v_k_finite) {
+ if (x_k_v_finite) {
+ // Here both x_v_k and x_k_v are finite.
+ for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
+ DB_Row<N>& x_i = x.dbm[i];
+ const N& x_i_k = x_i[k];
+ if (!is_plus_infinity(x_i_k)) {
+ add_assign_r(sum, x_i_k, x_k_v, ROUND_UP);
+ min_assign(x_i[v], sum);
+ }
+ const N& x_k_i = x_k[i];
+ if (!is_plus_infinity(x_k_i)) {
+ add_assign_r(sum, x_v_k, x_k_i, ROUND_UP);
+ min_assign(x_v[i], sum);
+ }
+ }
+ }
+ else {
+ // Here x_v_k is finite, but x_k_v is not.
+ for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
+ const N& x_k_i = x_k[i];
+ if (!is_plus_infinity(x_k_i)) {
+ add_assign_r(sum, x_v_k, x_k_i, ROUND_UP);
+ min_assign(x_v[i], sum);
+ }
+ }
+ }
+ }
+ else if (x_k_v_finite) {
+ // Here x_v_k is infinite, but x_k_v is finite.
+ for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
+ DB_Row<N>& x_i = x.dbm[i];
+ const N& x_i_k = x_i[k];
+ if (!is_plus_infinity(x_i_k)) {
+ add_assign_r(sum, x_i_k, x_k_v, ROUND_UP);
+ min_assign(x_i[v], sum);
+ }
+ }
+ }
+ else
+ // Here both x_v_k and x_k_v are infinite.
+ continue;
+ }
+
+ // Step 2: improve the other bounds by using the precise bounds
+ // for the constraints on `var'.
+ for (dimension_type i = num_dimensions + 1; i-- > 0; ) {
+ DB_Row<N>& x_i = x.dbm[i];
+ const N& x_i_v = x_i[v];
+ if (!is_plus_infinity(x_i_v)) {
+ for (dimension_type j = num_dimensions + 1; j-- > 0; ) {
+ const N& x_v_j = x_v[j];
+ if (!is_plus_infinity(x_v_j)) {
+ add_assign_r(sum, x_i_v, x_v_j, ROUND_UP);
+ min_assign(x_i[j], sum);
+ }
+ }
+ }
+ }
+
+ // Check for emptiness: the BDS is empty if and only if there is a
+ // negative value on the main diagonal of `dbm'.
+ for (dimension_type h = num_dimensions + 1; h-- > 0; ) {
+ N& x_dbm_hh = x.dbm[h][h];
+ if (sgn(x_dbm_hh) < 0) {
+ x.set_empty();
+ return;
+ }
+ else {
+ PPL_ASSERT(sgn(x_dbm_hh) == 0);
+ // Restore PLUS_INFINITY on the main diagonal.
+ assign_r(x_dbm_hh, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+
+ // The BDS is not empty and it is now shortest-path closed.
+ x.set_shortest_path_closed();
+}
+
+template <typename T>
+void
+BD_Shape<T>::shortest_path_reduction_assign() const {
+ // Do something only if necessary.
+ if (marked_shortest_path_reduced())
+ return;
+
+ const dimension_type space_dim = space_dimension();
+ // Zero-dimensional BDSs are necessarily reduced.
+ if (space_dim == 0)
+ return;
+
+ // First find the tightest constraints for this BDS.
+ shortest_path_closure_assign();
+
+ // If `*this' is empty, then there is nothing to reduce.
+ if (marked_empty())
+ return;
+
+ // Step 1: compute zero-equivalence classes.
+ // Variables corresponding to indices `i' and `j' are zero-equivalent
+ // if they lie on a zero-weight loop; since the matrix is shortest-path
+ // closed, this happens if and only if dbm[i][j] == -dbm[j][i].
+ std::vector<dimension_type> predecessor;
+ compute_predecessors(predecessor);
+ std::vector<dimension_type> leaders;
+ compute_leader_indices(predecessor, leaders);
+ const dimension_type num_leaders = leaders.size();
+
+ Bit_Matrix redundancy(space_dim + 1, space_dim + 1);
+ // Init all constraints to be redundant.
+ // TODO: provide an appropriate method to set multiple bits.
+ Bit_Row& red_0 = redundancy[0];
+ for (dimension_type j = space_dim + 1; j-- > 0; )
+ red_0.set(j);
+ for (dimension_type i = space_dim + 1; i-- > 0; )
+ redundancy[i] = red_0;
+
+ // Step 2: flag non-redundant constraints in the (zero-cycle-free)
+ // subsystem of bounded differences having only leaders as variables.
+ PPL_DIRTY_TEMP(N, c);
+ for (dimension_type l_i = 0; l_i < num_leaders; ++l_i) {
+ const dimension_type i = leaders[l_i];
+ const DB_Row<N>& dbm_i = dbm[i];
+ Bit_Row& redundancy_i = redundancy[i];
+ for (dimension_type l_j = 0; l_j < num_leaders; ++l_j) {
+ const dimension_type j = leaders[l_j];
+ if (redundancy_i[j]) {
+ const N& dbm_i_j = dbm_i[j];
+ redundancy_i.clear(j);
+ for (dimension_type l_k = 0; l_k < num_leaders; ++l_k) {
+ const dimension_type k = leaders[l_k];
+ add_assign_r(c, dbm_i[k], dbm[k][j], ROUND_UP);
+ if (dbm_i_j >= c) {
+ redundancy_i.set(j);
+ break;
+ }
+ }
+ }
+ }
+ }
+
+ // Step 3: flag non-redundant constraints in zero-equivalence classes.
+ // Each equivalence class must have a single 0-cycle connecting
+ // all the equivalent variables in increasing order.
+ std::deque<bool> dealt_with(space_dim + 1, false);
+ for (dimension_type i = space_dim + 1; i-- > 0; )
+ // We only need to deal with non-singleton zero-equivalence classes
+ // that haven't already been dealt with.
+ if (i != predecessor[i] && !dealt_with[i]) {
+ dimension_type j = i;
+ while (true) {
+ const dimension_type predecessor_j = predecessor[j];
+ if (j == predecessor_j) {
+ // We finally found the leader of `i'.
+ PPL_ASSERT(redundancy[i][j]);
+ redundancy[i].clear(j);
+ // Here we dealt with `j' (i.e., `predecessor_j'), but it is useless
+ // to update `dealt_with' because `j' is a leader.
+ break;
+ }
+ // We haven't found the leader of `i' yet.
+ PPL_ASSERT(redundancy[predecessor_j][j]);
+ redundancy[predecessor_j].clear(j);
+ dealt_with[predecessor_j] = true;
+ j = predecessor_j;
+ }
+ }
+
+ // Even though shortest-path reduction is not going to change the BDS,
+ // it might change its internal representation.
+ BD_Shape<T>& x = const_cast<BD_Shape<T>&>(*this);
+ using std::swap;
+ swap(x.redundancy_dbm, redundancy);
+ x.set_shortest_path_reduced();
+
+ PPL_ASSERT(is_shortest_path_reduced());
+}
+
+template <typename T>
+void
+BD_Shape<T>::upper_bound_assign(const BD_Shape& y) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("upper_bound_assign(y)", y);
+
+ // The upper bound of a BD shape `bd' with an empty shape is `bd'.
+ y.shortest_path_closure_assign();
+ if (y.marked_empty())
+ return;
+ shortest_path_closure_assign();
+ if (marked_empty()) {
+ *this = y;
+ return;
+ }
+
+ // The bds-hull consists in constructing `*this' with the maximum
+ // elements selected from `*this' and `y'.
+ PPL_ASSERT(space_dim == 0 || marked_shortest_path_closed());
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ N& dbm_ij = dbm_i[j];
+ const N& y_dbm_ij = y_dbm_i[j];
+ if (dbm_ij < y_dbm_ij)
+ dbm_ij = y_dbm_ij;
+ }
+ }
+ // Shortest-path closure is maintained (if it was holding).
+ // TODO: see whether reduction can be (efficiently!) maintained too.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+bool
+BD_Shape<T>::BFT00_upper_bound_assign_if_exact(const BD_Shape& y) {
+ // Declare a const reference to *this (to avoid accidental modifications).
+ const BD_Shape& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+
+ // Private method: the caller must ensure the following.
+ PPL_ASSERT(x_space_dim == y.space_dimension());
+
+ // The zero-dim case is trivial.
+ if (x_space_dim == 0) {
+ upper_bound_assign(y);
+ return true;
+ }
+ // If `x' or `y' is (known to be) empty, the upper bound is exact.
+ if (x.marked_empty()) {
+ *this = y;
+ return true;
+ }
+ else if (y.is_empty())
+ return true;
+ else if (x.is_empty()) {
+ *this = y;
+ return true;
+ }
+
+ // Here both `x' and `y' are known to be non-empty.
+ // Implementation based on Algorithm 4.1 (page 6) in [BemporadFT00TR],
+ // tailored to the special case of BD shapes.
+
+ Variable epsilon(x_space_dim);
+ Linear_Expression zero_expr;
+ zero_expr.set_space_dimension(x_space_dim + 1);
+ Linear_Expression db_expr;
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+
+ // Step 1: compute the constraint system for the envelope env(x,y)
+ // and put into x_cs_removed and y_cs_removed those non-redundant
+ // constraints that are not in the constraint system for env(x,y).
+ // While at it, also add the additional space dimension (epsilon).
+ Constraint_System env_cs;
+ Constraint_System x_cs_removed;
+ Constraint_System y_cs_removed;
+ x.shortest_path_reduction_assign();
+ y.shortest_path_reduction_assign();
+ for (dimension_type i = x_space_dim + 1; i-- > 0; ) {
+ const Bit_Row& x_red_i = x.redundancy_dbm[i];
+ const Bit_Row& y_red_i = y.redundancy_dbm[i];
+ const DB_Row<N>& x_dbm_i = x.dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (dimension_type j = x_space_dim + 1; j-- > 0; ) {
+ if (x_red_i[j] && y_red_i[j])
+ continue;
+ if (!x_red_i[j]) {
+ const N& x_dbm_ij = x_dbm_i[j];
+ PPL_ASSERT(!is_plus_infinity(x_dbm_ij));
+ numer_denom(x_dbm_ij, numer, denom);
+ // Build skeleton DB constraint (having the right space dimension).
+ db_expr = zero_expr;
+ if (i > 0)
+ db_expr += Variable(i-1);
+ if (j > 0)
+ db_expr -= Variable(j-1);
+ if (denom != 1)
+ db_expr *= denom;
+ db_expr += numer;
+ if (x_dbm_ij >= y_dbm_i[j])
+ env_cs.insert(db_expr >= 0);
+ else {
+ db_expr += epsilon;
+ x_cs_removed.insert(db_expr == 0);
+ }
+ }
+ if (!y_red_i[j]) {
+ const N& y_dbm_ij = y_dbm_i[j];
+ const N& x_dbm_ij = x_dbm_i[j];
+ PPL_ASSERT(!is_plus_infinity(y_dbm_ij));
+ numer_denom(y_dbm_ij, numer, denom);
+ // Build skeleton DB constraint (having the right space dimension).
+ db_expr = zero_expr;
+ if (i > 0)
+ db_expr += Variable(i-1);
+ if (j > 0)
+ db_expr -= Variable(j-1);
+ if (denom != 1)
+ db_expr *= denom;
+ db_expr += numer;
+ if (y_dbm_ij >= x_dbm_ij) {
+ // Check if same constraint was added when considering x_dbm_ij.
+ if (!x_red_i[j] && x_dbm_ij == y_dbm_ij)
+ continue;
+ env_cs.insert(db_expr >= 0);
+ }
+ else {
+ db_expr += epsilon;
+ y_cs_removed.insert(db_expr == 0);
+ }
+ }
+ }
+ }
+
+ if (x_cs_removed.empty())
+ // No constraint of x was removed: y is included in x.
+ return true;
+ if (y_cs_removed.empty()) {
+ // No constraint of y was removed: x is included in y.
+ *this = y;
+ return true;
+ }
+
+ // In preparation to Step 4: build the common part of LP problems,
+ // i.e., the constraints corresponding to env(x,y),
+ // where the additional space dimension (epsilon) has to be maximized.
+ MIP_Problem env_lp(x_space_dim + 1, env_cs, epsilon, MAXIMIZATION);
+ // Pre-solve `env_lp' to later exploit incrementality.
+ env_lp.solve();
+ PPL_ASSERT(env_lp.solve() != UNFEASIBLE_MIP_PROBLEM);
+
+ // Implementing loop in Steps 3-6.
+ for (Constraint_System::const_iterator i = x_cs_removed.begin(),
+ i_end = x_cs_removed.end(); i != i_end; ++i) {
+ MIP_Problem lp_i(env_lp);
+ lp_i.add_constraint(*i);
+ // Pre-solve to exploit incrementality.
+ if (lp_i.solve() == UNFEASIBLE_MIP_PROBLEM)
+ continue;
+ for (Constraint_System::const_iterator j = y_cs_removed.begin(),
+ j_end = y_cs_removed.end(); j != j_end; ++j) {
+ MIP_Problem lp_ij(lp_i);
+ lp_ij.add_constraint(*j);
+ // Solve and check for a positive optimal value.
+ switch (lp_ij.solve()) {
+ case UNFEASIBLE_MIP_PROBLEM:
+ // CHECKME: is the following actually impossible?
+ PPL_UNREACHABLE;
+ return false;
+ case UNBOUNDED_MIP_PROBLEM:
+ return false;
+ case OPTIMIZED_MIP_PROBLEM:
+ lp_ij.optimal_value(numer, denom);
+ if (numer > 0)
+ return false;
+ break;
+ }
+ }
+ }
+
+ // The upper bound of x and y is indeed exact.
+ upper_bound_assign(y);
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename T>
+template <bool integer_upper_bound>
+bool
+BD_Shape<T>::BHZ09_upper_bound_assign_if_exact(const BD_Shape& y) {
+ PPL_COMPILE_TIME_CHECK(!integer_upper_bound
+ || std::numeric_limits<T>::is_integer,
+ "BD_Shape<T>::BHZ09_upper_bound_assign_if_exact(y):"
+ " instantiating for integer upper bound,"
+ " but T in not an integer datatype.");
+
+ // FIXME, CHECKME: what about inexact computations?
+ // Declare a const reference to *this (to avoid accidental modifications).
+ const BD_Shape& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+
+ // Private method: the caller must ensure the following.
+ PPL_ASSERT(x_space_dim == y.space_dimension());
+
+ // The zero-dim case is trivial.
+ if (x_space_dim == 0) {
+ upper_bound_assign(y);
+ return true;
+ }
+ // If `x' or `y' is (known to be) empty, the upper bound is exact.
+ if (x.marked_empty()) {
+ *this = y;
+ return true;
+ }
+ else if (y.is_empty())
+ return true;
+ else if (x.is_empty()) {
+ *this = y;
+ return true;
+ }
+
+ // Here both `x' and `y' are known to be non-empty.
+ x.shortest_path_reduction_assign();
+ y.shortest_path_reduction_assign();
+ PPL_ASSERT(x.marked_shortest_path_closed());
+ PPL_ASSERT(y.marked_shortest_path_closed());
+ // Pre-compute the upper bound of `x' and `y'.
+ BD_Shape<T> ub(x);
+ ub.upper_bound_assign(y);
+
+ PPL_DIRTY_TEMP(N, lhs);
+ PPL_DIRTY_TEMP(N, rhs);
+ PPL_DIRTY_TEMP(N, temp_zero);
+ assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(N, temp_one);
+ if (integer_upper_bound)
+ assign_r(temp_one, 1, ROUND_NOT_NEEDED);
+
+ for (dimension_type i = x_space_dim + 1; i-- > 0; ) {
+ const DB_Row<N>& x_i = x.dbm[i];
+ const Bit_Row& x_red_i = x.redundancy_dbm[i];
+ const DB_Row<N>& y_i = y.dbm[i];
+ const DB_Row<N>& ub_i = ub.dbm[i];
+ for (dimension_type j = x_space_dim + 1; j-- > 0; ) {
+ // Check redundancy of x_i_j.
+ if (x_red_i[j])
+ continue;
+ // By non-redundancy, we know that i != j.
+ PPL_ASSERT(i != j);
+ const N& x_i_j = x_i[j];
+ if (x_i_j < y_i[j]) {
+ for (dimension_type k = x_space_dim + 1; k-- > 0; ) {
+ const DB_Row<N>& x_k = x.dbm[k];
+ const DB_Row<N>& y_k = y.dbm[k];
+ const Bit_Row& y_red_k = y.redundancy_dbm[k];
+ const DB_Row<N>& ub_k = ub.dbm[k];
+ const N& ub_k_j = (k == j) ? temp_zero : ub_k[j];
+ for (dimension_type ell = x_space_dim + 1; ell-- > 0; ) {
+ // Check redundancy of y_k_ell.
+ if (y_red_k[ell])
+ continue;
+ // By non-redundancy, we know that k != ell.
+ PPL_ASSERT(k != ell);
+ const N& y_k_ell = y_k[ell];
+ if (y_k_ell < x_k[ell]) {
+ // The first condition in BHZ09 theorem holds;
+ // now check for the second condition.
+ add_assign_r(lhs, x_i_j, y_k_ell, ROUND_UP);
+ const N& ub_i_ell = (i == ell) ? temp_zero : ub_i[ell];
+ add_assign_r(rhs, ub_i_ell, ub_k_j, ROUND_UP);
+ if (integer_upper_bound) {
+ // Note: adding 1 rather than 2 (as in Theorem 5.3)
+ // so as to later test for < rather than <=.
+ add_assign_r(lhs, lhs, temp_one, ROUND_NOT_NEEDED);
+ }
+ // Testing for < in both the rational and integer case.
+ if (lhs < rhs)
+ return false;
+ }
+ }
+ }
+ }
+ }
+ }
+ // The upper bound of x and y is indeed exact.
+ m_swap(ub);
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename T>
+void
+BD_Shape<T>::difference_assign(const BD_Shape& y) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("difference_assign(y)", y);
+
+ BD_Shape new_bd_shape(space_dim, EMPTY);
+
+ BD_Shape& x = *this;
+
+ x.shortest_path_closure_assign();
+ // The difference of an empty bounded difference shape
+ // and of a bounded difference shape `p' is empty.
+ if (x.marked_empty())
+ return;
+ y.shortest_path_closure_assign();
+ // The difference of a bounded difference shape `p'
+ // and an empty bounded difference shape is `p'.
+ if (y.marked_empty())
+ return;
+
+ // If both bounded difference shapes are zero-dimensional,
+ // then at this point they are necessarily universe system of
+ // bounded differences, so that their difference is empty.
+ if (space_dim == 0) {
+ x.set_empty();
+ return;
+ }
+
+ // TODO: This is just an executable specification.
+ // Have to find a more efficient method.
+ if (y.contains(x)) {
+ x.set_empty();
+ return;
+ }
+
+ // We take a constraint of the system y at the time and we
+ // consider its complementary. Then we intersect the union
+ // of these complementary constraints with the system x.
+ const Constraint_System& y_cs = y.constraints();
+ for (Constraint_System::const_iterator i = y_cs.begin(),
+ y_cs_end = y_cs.end(); i != y_cs_end; ++i) {
+ const Constraint& c = *i;
+ // If the bounded difference shape `x' is included
+ // in the bounded difference shape defined by `c',
+ // then `c' _must_ be skipped, as adding its complement to `x'
+ // would result in the empty bounded difference shape,
+ // and as we would obtain a result that is less precise
+ // than the bds-difference.
+ if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
+ continue;
+ BD_Shape z = x;
+ const Linear_Expression e(c.expression());
+ z.add_constraint(e <= 0);
+ if (!z.is_empty())
+ new_bd_shape.upper_bound_assign(z);
+ if (c.is_equality()) {
+ z = x;
+ z.add_constraint(e >= 0);
+ if (!z.is_empty())
+ new_bd_shape.upper_bound_assign(z);
+ }
+ }
+ *this = new_bd_shape;
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+bool
+BD_Shape<T>::simplify_using_context_assign(const BD_Shape& y) {
+ BD_Shape& x = *this;
+ const dimension_type dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (dim != y.space_dimension())
+ throw_dimension_incompatible("simplify_using_context_assign(y)", y);
+
+ // Filter away the zero-dimensional case.
+ if (dim == 0) {
+ if (y.marked_empty()) {
+ x.set_zero_dim_univ();
+ return false;
+ }
+ else
+ return !x.marked_empty();
+ }
+
+ // Filter away the case where `x' contains `y'
+ // (this subsumes the case when `y' is empty).
+ y.shortest_path_closure_assign();
+ if (x.contains(y)) {
+ BD_Shape<T> res(dim, UNIVERSE);
+ x.m_swap(res);
+ return false;
+ }
+
+ // Filter away the case where `x' is empty.
+ x.shortest_path_closure_assign();
+ if (x.marked_empty()) {
+ // Search for a constraint of `y' that is not a tautology.
+ dimension_type i;
+ dimension_type j;
+ // Prefer unary constraints.
+ i = 0;
+ const DB_Row<N>& y_dbm_0 = y.dbm[0];
+ for (j = 1; j <= dim; ++j) {
+ if (!is_plus_infinity(y_dbm_0[j]))
+ // FIXME: if N is a float or bounded integer type, then
+ // we also need to check that we are actually able to construct
+ // a constraint inconsistent with respect to this one.
+ goto found;
+ }
+ j = 0;
+ for (i = 1; i <= dim; ++i) {
+ if (!is_plus_infinity(y.dbm[i][0]))
+ // FIXME: if N is a float or bounded integer type, then
+ // we also need to check that we are actually able to construct
+ // a constraint inconsistent with respect to this one.
+ goto found;
+ }
+ // Then search binary constraints.
+ for (i = 1; i <= dim; ++i) {
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (j = 1; j <= dim; ++j)
+ if (!is_plus_infinity(y_dbm_i[j]))
+ // FIXME: if N is a float or bounded integer type, then
+ // we also need to check that we are actually able to construct
+ // a constraint inconsistent with respect to this one.
+ goto found;
+ }
+ // Not found: we were not able to build a constraint contradicting
+ // one of the constraints in `y': `x' cannot be enlarged.
+ return false;
+
+ found:
+ // Found: build a new BDS contradicting the constraint found.
+ PPL_ASSERT(i <= dim && j <= dim && (i > 0 || j > 0));
+ BD_Shape<T> res(dim, UNIVERSE);
+ PPL_DIRTY_TEMP(N, tmp);
+ assign_r(tmp, 1, ROUND_UP);
+ add_assign_r(tmp, tmp, y.dbm[i][j], ROUND_UP);
+ PPL_ASSERT(!is_plus_infinity(tmp));
+ // CHECKME: round down is really meant.
+ neg_assign_r(res.dbm[j][i], tmp, ROUND_DOWN);
+ x.m_swap(res);
+ return false;
+ }
+
+ // Here `x' and `y' are not empty and shortest-path closed;
+ // also, `x' does not contain `y'.
+ // Let `target' be the intersection of `x' and `y'.
+ BD_Shape<T> target = x;
+ target.intersection_assign(y);
+ const bool bool_result = !target.is_empty();
+
+ // Compute a reduced dbm for `x' and ...
+ x.shortest_path_reduction_assign();
+ // ... count the non-redundant constraints.
+ dimension_type x_num_non_redundant = (dim+1)*(dim+1);
+ for (dimension_type i = dim + 1; i-- > 0; )
+ x_num_non_redundant -= x.redundancy_dbm[i].count_ones();
+ PPL_ASSERT(x_num_non_redundant > 0);
+
+ // Let `yy' be a copy of `y': we will keep adding to `yy'
+ // the non-redundant constraints of `x',
+ // stopping as soon as `yy' becomes equal to `target'.
+ BD_Shape<T> yy = y;
+
+ // The constraints added to `yy' will be recorded in `res' ...
+ BD_Shape<T> res(dim, UNIVERSE);
+ // ... and we will count them too.
+ dimension_type res_num_non_redundant = 0;
+
+ // Compute leader information for `x'.
+ std::vector<dimension_type> x_leaders;
+ x.compute_leaders(x_leaders);
+
+ // First go through the unary equality constraints.
+ const DB_Row<N>& x_dbm_0 = x.dbm[0];
+ DB_Row<N>& yy_dbm_0 = yy.dbm[0];
+ DB_Row<N>& res_dbm_0 = res.dbm[0];
+ for (dimension_type j = 1; j <= dim; ++j) {
+ // Unary equality constraints are encoded in entries dbm_0j and dbm_j0
+ // provided index j has special variable index 0 as its leader.
+ if (x_leaders[j] != 0)
+ continue;
+ PPL_ASSERT(!is_plus_infinity(x_dbm_0[j]));
+ if (x_dbm_0[j] < yy_dbm_0[j]) {
+ res_dbm_0[j] = x_dbm_0[j];
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_dbm_0[j] = x_dbm_0[j];
+ yy.reset_shortest_path_closed();
+ }
+ PPL_ASSERT(!is_plus_infinity(x.dbm[j][0]));
+ if (x.dbm[j][0] < yy.dbm[j][0]) {
+ res.dbm[j][0] = x.dbm[j][0];
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy.dbm[j][0] = x.dbm[j][0];
+ yy.reset_shortest_path_closed();
+ }
+ // Restore shortest-path closure, if it was lost.
+ if (!yy.marked_shortest_path_closed()) {
+ Variable var_j(j-1);
+ yy.incremental_shortest_path_closure_assign(var_j);
+ if (target.contains(yy)) {
+ // Target reached: swap `x' and `res' if needed.
+ if (res_num_non_redundant < x_num_non_redundant) {
+ res.reset_shortest_path_closed();
+ x.m_swap(res);
+ }
+ return bool_result;
+ }
+ }
+ }
+
+ // Go through the binary equality constraints.
+ // Note: no need to consider the case i == 1.
+ for (dimension_type i = 2; i <= dim; ++i) {
+ const dimension_type j = x_leaders[i];
+ if (j == i || j == 0)
+ continue;
+ PPL_ASSERT(!is_plus_infinity(x.dbm[i][j]));
+ if (x.dbm[i][j] < yy.dbm[i][j]) {
+ res.dbm[i][j] = x.dbm[i][j];
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy.dbm[i][j] = x.dbm[i][j];
+ yy.reset_shortest_path_closed();
+ }
+ PPL_ASSERT(!is_plus_infinity(x.dbm[j][i]));
+ if (x.dbm[j][i] < yy.dbm[j][i]) {
+ res.dbm[j][i] = x.dbm[j][i];
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy.dbm[j][i] = x.dbm[j][i];
+ yy.reset_shortest_path_closed();
+ }
+ // Restore shortest-path closure, if it was lost.
+ if (!yy.marked_shortest_path_closed()) {
+ Variable var_j(j-1);
+ yy.incremental_shortest_path_closure_assign(var_j);
+ if (target.contains(yy)) {
+ // Target reached: swap `x' and `res' if needed.
+ if (res_num_non_redundant < x_num_non_redundant) {
+ res.reset_shortest_path_closed();
+ x.m_swap(res);
+ }
+ return bool_result;
+ }
+ }
+ }
+
+ // Finally go through the (proper) inequality constraints:
+ // both indices i and j should be leaders.
+ for (dimension_type i = 0; i <= dim; ++i) {
+ if (i != x_leaders[i])
+ continue;
+ const DB_Row<N>& x_dbm_i = x.dbm[i];
+ const Bit_Row& x_redundancy_dbm_i = x.redundancy_dbm[i];
+ DB_Row<N>& yy_dbm_i = yy.dbm[i];
+ DB_Row<N>& res_dbm_i = res.dbm[i];
+ for (dimension_type j = 0; j <= dim; ++j) {
+ if (j != x_leaders[j] || x_redundancy_dbm_i[j])
+ continue;
+ N& yy_dbm_ij = yy_dbm_i[j];
+ const N& x_dbm_ij = x_dbm_i[j];
+ if (x_dbm_ij < yy_dbm_ij) {
+ res_dbm_i[j] = x_dbm_ij;
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_dbm_ij = x_dbm_ij;
+ yy.reset_shortest_path_closed();
+ PPL_ASSERT(i > 0 || j > 0);
+ Variable var(((i > 0) ? i : j) - 1);
+ yy.incremental_shortest_path_closure_assign(var);
+ if (target.contains(yy)) {
+ // Target reached: swap `x' and `res' if needed.
+ if (res_num_non_redundant < x_num_non_redundant) {
+ res.reset_shortest_path_closed();
+ x.m_swap(res);
+ }
+ return bool_result;
+ }
+ }
+ }
+ }
+ // This point should be unreachable.
+ PPL_UNREACHABLE;
+ return false;
+}
+
+template <typename T>
+void
+BD_Shape<T>::add_space_dimensions_and_embed(const dimension_type m) {
+ // Adding no dimensions is a no-op.
+ if (m == 0)
+ return;
+
+ const dimension_type space_dim = space_dimension();
+ const dimension_type new_space_dim = space_dim + m;
+ const bool was_zero_dim_univ = (!marked_empty() && space_dim == 0);
+
+ // To embed an n-dimension space BDS in a (n+m)-dimension space,
+ // we just add `m' rows and columns in the bounded difference shape,
+ // initialized to PLUS_INFINITY.
+ dbm.grow(new_space_dim + 1);
+
+ // Shortest-path closure is maintained (if it was holding).
+ // TODO: see whether reduction can be (efficiently!) maintained too.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+
+ // If `*this' was the zero-dim space universe BDS,
+ // the we can set the shortest-path closure flag.
+ if (was_zero_dim_univ)
+ set_shortest_path_closed();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::add_space_dimensions_and_project(const dimension_type m) {
+ // Adding no dimensions is a no-op.
+ if (m == 0)
+ return;
+
+ const dimension_type space_dim = space_dimension();
+
+ // If `*this' was zero-dimensional, then we add `m' rows and columns.
+ // If it also was non-empty, then we zero all the added elements
+ // and set the flag for shortest-path closure.
+ if (space_dim == 0) {
+ dbm.grow(m + 1);
+ if (!marked_empty()) {
+ for (dimension_type i = m + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = m + 1; j-- > 0; )
+ if (i != j)
+ assign_r(dbm_i[j], 0, ROUND_NOT_NEEDED);
+ }
+ set_shortest_path_closed();
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // To project an n-dimension space bounded difference shape
+ // in a (n+m)-dimension space, we add `m' rows and columns.
+ // In the first row and column of the matrix we add `zero' from
+ // the (n+1)-th position to the end.
+ const dimension_type new_space_dim = space_dim + m;
+ dbm.grow(new_space_dim + 1);
+
+ // Bottom of the matrix and first row.
+ DB_Row<N>& dbm_0 = dbm[0];
+ for (dimension_type i = space_dim + 1; i <= new_space_dim; ++i) {
+ assign_r(dbm[i][0], 0, ROUND_NOT_NEEDED);
+ assign_r(dbm_0[i], 0, ROUND_NOT_NEEDED);
+ }
+
+ if (marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::remove_space_dimensions(const Variables_Set& vars) {
+ // The removal of no dimensions from any BDS is a no-op.
+ // Note that this case also captures the only legal removal of
+ // space dimensions from a BDS in a 0-dim space.
+ if (vars.empty()) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ const dimension_type old_space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (old_space_dim < min_space_dim)
+ throw_dimension_incompatible("remove_space_dimensions(vs)", min_space_dim);
+
+ // Shortest-path closure is necessary to keep precision.
+ shortest_path_closure_assign();
+
+ // When removing _all_ dimensions from a BDS, we obtain the
+ // zero-dimensional BDS.
+ const dimension_type new_space_dim = old_space_dim - vars.size();
+ if (new_space_dim == 0) {
+ dbm.resize_no_copy(1);
+ if (!marked_empty())
+ // We set the zero_dim_univ flag.
+ set_zero_dim_univ();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Handle the case of an empty BD_Shape.
+ if (marked_empty()) {
+ dbm.resize_no_copy(new_space_dim + 1);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Shortest-path closure is maintained.
+ // TODO: see whether reduction can be (efficiently!) maintained too.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+
+ // For each variable to remove, we fill the corresponding column and
+ // row by shifting respectively left and above those
+ // columns and rows, that will not be removed.
+ Variables_Set::const_iterator vsi = vars.begin();
+ Variables_Set::const_iterator vsi_end = vars.end();
+ dimension_type dst = *vsi + 1;
+ dimension_type src = dst + 1;
+ for (++vsi; vsi != vsi_end; ++vsi) {
+ const dimension_type vsi_next = *vsi + 1;
+ // All other columns and rows are moved respectively to the left
+ // and above.
+ while (src < vsi_next) {
+ using std::swap;
+ swap(dbm[dst], dbm[src]);
+ for (dimension_type i = old_space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ assign_or_swap(dbm_i[dst], dbm_i[src]);
+ }
+ ++dst;
+ ++src;
+ }
+ ++src;
+ }
+
+ // Moving the remaining rows and columns.
+ while (src <= old_space_dim) {
+ using std::swap;
+ swap(dbm[dst], dbm[src]);
+ for (dimension_type i = old_space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ assign_or_swap(dbm_i[dst], dbm_i[src]);
+ }
+ ++src;
+ ++dst;
+ }
+
+ // Update the space dimension.
+ dbm.resize_no_copy(new_space_dim + 1);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Partial_Function>
+void
+BD_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
+ const dimension_type space_dim = space_dimension();
+ // TODO: this implementation is just an executable specification.
+ if (space_dim == 0)
+ return;
+
+ if (pfunc.has_empty_codomain()) {
+ // All dimensions vanish: the BDS becomes zero_dimensional.
+ remove_higher_space_dimensions(0);
+ return;
+ }
+
+ const dimension_type new_space_dim = pfunc.max_in_codomain() + 1;
+ // If we are going to actually reduce the space dimension,
+ // then shortest-path closure is required to keep precision.
+ if (new_space_dim < space_dim)
+ shortest_path_closure_assign();
+
+ // If the BDS is empty, then it is sufficient to adjust the
+ // space dimension of the bounded difference shape.
+ if (marked_empty()) {
+ remove_higher_space_dimensions(new_space_dim);
+ return;
+ }
+
+ // Shortest-path closure is maintained (if it was holding).
+ // TODO: see whether reduction can be (efficiently!) maintained too.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+
+ // We create a new matrix with the new space dimension.
+ DB_Matrix<N> x(new_space_dim+1);
+ // First of all we must map the unary constraints, because
+ // there is the fictitious variable `zero', that can't be mapped
+ // at all.
+ DB_Row<N>& dbm_0 = dbm[0];
+ DB_Row<N>& x_0 = x[0];
+ for (dimension_type j = 1; j <= space_dim; ++j) {
+ dimension_type new_j;
+ if (pfunc.maps(j - 1, new_j)) {
+ assign_or_swap(x_0[new_j + 1], dbm_0[j]);
+ assign_or_swap(x[new_j + 1][0], dbm[j][0]);
+ }
+ }
+ // Now we map the binary constraints, exchanging the indexes.
+ for (dimension_type i = 1; i <= space_dim; ++i) {
+ dimension_type new_i;
+ if (pfunc.maps(i - 1, new_i)) {
+ DB_Row<N>& dbm_i = dbm[i];
+ ++new_i;
+ DB_Row<N>& x_new_i = x[new_i];
+ for (dimension_type j = i+1; j <= space_dim; ++j) {
+ dimension_type new_j;
+ if (pfunc.maps(j - 1, new_j)) {
+ ++new_j;
+ assign_or_swap(x_new_i[new_j], dbm_i[j]);
+ assign_or_swap(x[new_j][new_i], dbm[j][i]);
+ }
+ }
+ }
+ }
+
+ using std::swap;
+ swap(dbm, x);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::intersection_assign(const BD_Shape& y) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("intersection_assign(y)", y);
+
+ // If one of the two bounded difference shapes is empty,
+ // the intersection is empty.
+ if (marked_empty())
+ return;
+ if (y.marked_empty()) {
+ set_empty();
+ return;
+ }
+
+ // If both bounded difference shapes are zero-dimensional,
+ // then at this point they are necessarily non-empty,
+ // so that their intersection is non-empty too.
+ if (space_dim == 0)
+ return;
+
+ // To intersect two bounded difference shapes we compare
+ // the constraints and we choose the less values.
+ bool changed = false;
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ N& dbm_ij = dbm_i[j];
+ const N& y_dbm_ij = y_dbm_i[j];
+ if (dbm_ij > y_dbm_ij) {
+ dbm_ij = y_dbm_ij;
+ changed = true;
+ }
+ }
+ }
+
+ if (changed && marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Iterator>
+void
+BD_Shape<T>::CC76_extrapolation_assign(const BD_Shape& y,
+ Iterator first, Iterator last,
+ unsigned* tp) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("CC76_extrapolation_assign(y)", y);
+
+ // We assume that `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If both bounded difference shapes are zero-dimensional,
+ // since `*this' contains `y', we simply return `*this'.
+ if (space_dim == 0)
+ return;
+
+ shortest_path_closure_assign();
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ y.shortest_path_closure_assign();
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ // If there are tokens available, work on a temporary copy.
+ if (tp != 0 && *tp > 0) {
+ BD_Shape<T> x_tmp(*this);
+ x_tmp.CC76_extrapolation_assign(y, first, last, 0);
+ // If the widening was not precise, use one of the available tokens.
+ if (!contains(x_tmp))
+ --(*tp);
+ return;
+ }
+
+ // Compare each constraint in `y' to the corresponding one in `*this'.
+ // The constraint in `*this' is kept as is if it is stronger than or
+ // equal to the constraint in `y'; otherwise, the inhomogeneous term
+ // of the constraint in `*this' is further compared with elements taken
+ // from a sorted container (the stop-points, provided by the user), and
+ // is replaced by the first entry, if any, which is greater than or equal
+ // to the inhomogeneous term. If no such entry exists, the constraint
+ // is removed altogether.
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ N& dbm_ij = dbm_i[j];
+ const N& y_dbm_ij = y_dbm_i[j];
+ if (y_dbm_ij < dbm_ij) {
+ Iterator k = std::lower_bound(first, last, dbm_ij);
+ if (k != last) {
+ if (dbm_ij < *k)
+ assign_r(dbm_ij, *k, ROUND_UP);
+ }
+ else
+ assign_r(dbm_ij, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ }
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::get_limiting_shape(const Constraint_System& cs,
+ BD_Shape& limiting_shape) const {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(cs.space_dimension() <= space_dimension());
+
+ shortest_path_closure_assign();
+ bool changed = false;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_c_term);
+ PPL_DIRTY_TEMP(N, d);
+ PPL_DIRTY_TEMP(N, d1);
+ for (Constraint_System::const_iterator cs_i = cs.begin(),
+ cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
+ const Constraint& c = *cs_i;
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ // Constraints that are not bounded differences are ignored.
+ if (BD_Shape_Helpers::extract_bounded_difference(c, num_vars, i, j, coeff)) {
+ // Select the cell to be modified for the "<=" part of the constraint,
+ // and set `coeff' to the absolute value of itself.
+ const bool negative = (coeff < 0);
+ const N& x = negative ? dbm[i][j] : dbm[j][i];
+ const N& y = negative ? dbm[j][i] : dbm[i][j];
+ DB_Matrix<N>& ls_dbm = limiting_shape.dbm;
+ if (negative)
+ neg_assign(coeff);
+ // Compute the bound for `x', rounding towards plus infinity.
+ div_round_up(d, c.inhomogeneous_term(), coeff);
+ if (x <= d) {
+ if (c.is_inequality()) {
+ N& ls_x = negative ? ls_dbm[i][j] : ls_dbm[j][i];
+ if (ls_x > d) {
+ ls_x = d;
+ changed = true;
+ }
+ }
+ else {
+ // Compute the bound for `y', rounding towards plus infinity.
+ neg_assign(minus_c_term, c.inhomogeneous_term());
+ div_round_up(d1, minus_c_term, coeff);
+ if (y <= d1) {
+ N& ls_x = negative ? ls_dbm[i][j] : ls_dbm[j][i];
+ N& ls_y = negative ? ls_dbm[j][i] : ls_dbm[i][j];
+ if ((ls_x >= d && ls_y > d1) || (ls_x > d && ls_y >= d1)) {
+ ls_x = d;
+ ls_y = d1;
+ changed = true;
+ }
+ }
+ }
+ }
+ }
+ }
+
+ // In general, adding a constraint does not preserve the shortest-path
+ // closure of the bounded difference shape.
+ if (changed && limiting_shape.marked_shortest_path_closed())
+ limiting_shape.reset_shortest_path_closed();
+}
+
+template <typename T>
+void
+BD_Shape<T>::limited_CC76_extrapolation_assign(const BD_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp) {
+ // Dimension-compatibility check.
+ const dimension_type space_dim = space_dimension();
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("limited_CC76_extrapolation_assign(y, cs)",
+ y);
+
+ // `cs' must be dimension-compatible with the two systems
+ // of bounded differences.
+ const dimension_type cs_space_dim = cs.space_dimension();
+ if (space_dim < cs_space_dim)
+ throw_invalid_argument("limited_CC76_extrapolation_assign(y, cs)",
+ "cs is space_dimension incompatible");
+
+ // Strict inequalities not allowed.
+ if (cs.has_strict_inequalities())
+ throw_invalid_argument("limited_CC76_extrapolation_assign(y, cs)",
+ "cs has strict inequalities");
+
+ // The limited CC76-extrapolation between two systems of bounded
+ // differences in a zero-dimensional space is a system of bounded
+ // differences in a zero-dimensional space, too.
+ if (space_dim == 0)
+ return;
+
+ // We assume that `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ BD_Shape<T> limiting_shape(space_dim, UNIVERSE);
+ get_limiting_shape(cs, limiting_shape);
+ CC76_extrapolation_assign(y, tp);
+ intersection_assign(limiting_shape);
+}
+
+template <typename T>
+void
+BD_Shape<T>::BHMZ05_widening_assign(const BD_Shape& y, unsigned* tp) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("BHMZ05_widening_assign(y)", y);
+
+ // We assume that `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // Compute the affine dimension of `y'.
+ const dimension_type y_affine_dim = y.affine_dimension();
+ // If the affine dimension of `y' is zero, then either `y' is
+ // zero-dimensional, or it is empty, or it is a singleton.
+ // In all cases, due to the inclusion hypothesis, the result is `*this'.
+ if (y_affine_dim == 0)
+ return;
+
+ // If the affine dimension has changed, due to the inclusion hypothesis,
+ // the result is `*this'.
+ const dimension_type x_affine_dim = affine_dimension();
+ PPL_ASSERT(x_affine_dim >= y_affine_dim);
+ if (x_affine_dim != y_affine_dim)
+ return;
+
+ // If there are tokens available, work on a temporary copy.
+ if (tp != 0 && *tp > 0) {
+ BD_Shape<T> x_tmp(*this);
+ x_tmp.BHMZ05_widening_assign(y, 0);
+ // If the widening was not precise, use one of the available tokens.
+ if (!contains(x_tmp))
+ --(*tp);
+ return;
+ }
+
+ // Here no token is available.
+ PPL_ASSERT(marked_shortest_path_closed() && y.marked_shortest_path_closed());
+ // Minimize `y'.
+ y.shortest_path_reduction_assign();
+
+ // Extrapolate unstable bounds, taking into account redundancy in `y'.
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ const Bit_Row& y_redundancy_i = y.redundancy_dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ N& dbm_ij = dbm_i[j];
+ // Note: in the following line the use of `!=' (as opposed to
+ // the use of `<' that would seem -but is not- equivalent) is
+ // intentional.
+ if (y_redundancy_i[j] || y_dbm_i[j] != dbm_ij)
+ assign_r(dbm_ij, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ // NOTE: this will also reset the shortest-path reduction flag,
+ // even though the dbm is still in reduced form. However, the
+ // current implementation invariant requires that any reduced dbm
+ // is closed too.
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::limited_BHMZ05_extrapolation_assign(const BD_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp) {
+ // Dimension-compatibility check.
+ const dimension_type space_dim = space_dimension();
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("limited_BHMZ05_extrapolation_assign(y, cs)",
+ y);
+ // `cs' must be dimension-compatible with the two systems
+ // of bounded differences.
+ const dimension_type cs_space_dim = cs.space_dimension();
+ if (space_dim < cs_space_dim)
+ throw_invalid_argument("limited_BHMZ05_extrapolation_assign(y, cs)",
+ "cs is space-dimension incompatible");
+
+ // Strict inequalities are not allowed.
+ if (cs.has_strict_inequalities())
+ throw_invalid_argument("limited_BHMZ05_extrapolation_assign(y, cs)",
+ "cs has strict inequalities");
+
+ // The limited BHMZ05-extrapolation between two systems of bounded
+ // differences in a zero-dimensional space is a system of bounded
+ // differences in a zero-dimensional space, too.
+ if (space_dim == 0)
+ return;
+
+ // We assume that `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ BD_Shape<T> limiting_shape(space_dim, UNIVERSE);
+ get_limiting_shape(cs, limiting_shape);
+ BHMZ05_widening_assign(y, tp);
+ intersection_assign(limiting_shape);
+}
+
+template <typename T>
+void
+BD_Shape<T>::CC76_narrowing_assign(const BD_Shape& y) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("CC76_narrowing_assign(y)", y);
+
+ // We assume that `*this' is contained in or equal to `y'.
+ PPL_EXPECT_HEAVY(copy_contains(y, *this));
+
+ // If both bounded difference shapes are zero-dimensional,
+ // since `y' contains `*this', we simply return `*this'.
+ if (space_dim == 0)
+ return;
+
+ y.shortest_path_closure_assign();
+ // If `y' is empty, since `y' contains `this', `*this' is empty too.
+ if (y.marked_empty())
+ return;
+ shortest_path_closure_assign();
+ // If `*this' is empty, we return.
+ if (marked_empty())
+ return;
+
+ // Replace each constraint in `*this' by the corresponding constraint
+ // in `y' if the corresponding inhomogeneous terms are both finite.
+ bool changed = false;
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ const DB_Row<N>& y_dbm_i = y.dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ N& dbm_ij = dbm_i[j];
+ const N& y_dbm_ij = y_dbm_i[j];
+ if (!is_plus_infinity(dbm_ij)
+ && !is_plus_infinity(y_dbm_ij)
+ && dbm_ij != y_dbm_ij) {
+ dbm_ij = y_dbm_ij;
+ changed = true;
+ }
+ }
+ }
+ if (changed && marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>
+::deduce_v_minus_u_bounds(const dimension_type v,
+ const dimension_type last_v,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& ub_v) {
+ PPL_ASSERT(sc_denom > 0);
+ PPL_ASSERT(!is_plus_infinity(ub_v));
+ // Deduce constraints of the form `v - u', where `u != v'.
+ // Note: the shortest-path closure is able to deduce the constraint
+ // `v - u <= ub_v - lb_u'. We can be more precise if variable `u'
+ // played an active role in the computation of the upper bound for `v',
+ // i.e., if the corresponding coefficient `q == expr_u/denom' is
+ // greater than zero. In particular:
+ // if `q >= 1', then `v - u <= ub_v - ub_u';
+ // if `0 < q < 1', then `v - u <= ub_v - (q*ub_u + (1-q)*lb_u)'.
+ PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
+ assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
+ const DB_Row<N>& dbm_0 = dbm[0];
+ // Speculative allocation of temporaries to be used in the following loop.
+ PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
+ PPL_DIRTY_TEMP(mpq_class, q);
+ PPL_DIRTY_TEMP(mpq_class, ub_u);
+ PPL_DIRTY_TEMP(N, up_approx);
+ for (Linear_Expression::const_iterator u = sc_expr.begin(),
+ u_end = sc_expr.lower_bound(Variable(last_v)); u != u_end; ++u) {
+ const dimension_type u_dim = u.variable().space_dimension();
+ if (u_dim == v)
+ continue;
+ const Coefficient& expr_u = *u;
+ if (expr_u < 0)
+ continue;
+ PPL_ASSERT(expr_u > 0);
+ if (expr_u >= sc_denom)
+ // Deducing `v - u <= ub_v - ub_u'.
+ sub_assign_r(dbm[u_dim][v], ub_v, dbm_0[u_dim], ROUND_UP);
+ else {
+ DB_Row<N>& dbm_u = dbm[u_dim];
+ const N& dbm_u0 = dbm_u[0];
+ if (!is_plus_infinity(dbm_u0)) {
+ // Let `ub_u' and `lb_u' be the known upper and lower bound
+ // for `u', respectively. Letting `q = expr_u/sc_denom' be the
+ // rational coefficient of `u' in `sc_expr/sc_denom',
+ // the upper bound for `v - u' is computed as
+ // `ub_v - (q * ub_u + (1-q) * lb_u)', i.e.,
+ // `ub_v + (-lb_u) - q * (ub_u + (-lb_u))'.
+ assign_r(minus_lb_u, dbm_u0, ROUND_NOT_NEEDED);
+ assign_r(q, expr_u, ROUND_NOT_NEEDED);
+ div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
+ assign_r(ub_u, dbm_0[u_dim], ROUND_NOT_NEEDED);
+ // Compute `ub_u - lb_u'.
+ add_assign_r(ub_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
+ // Compute `(-lb_u) - q * (ub_u - lb_u)'.
+ sub_mul_assign_r(minus_lb_u, q, ub_u, ROUND_NOT_NEEDED);
+ assign_r(up_approx, minus_lb_u, ROUND_UP);
+ // Deducing `v - u <= ub_v - (q * ub_u + (1-q) * lb_u)'.
+ add_assign_r(dbm_u[v], ub_v, up_approx, ROUND_UP);
+ }
+ }
+ }
+}
+
+template <typename T>
+void
+BD_Shape<T>
+::deduce_u_minus_v_bounds(const dimension_type v,
+ const dimension_type last_v,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& minus_lb_v) {
+ PPL_ASSERT(sc_denom > 0);
+ PPL_ASSERT(!is_plus_infinity(minus_lb_v));
+ // Deduce constraints of the form `u - v', where `u != v'.
+ // Note: the shortest-path closure is able to deduce the constraint
+ // `u - v <= ub_u - lb_v'. We can be more precise if variable `u'
+ // played an active role in the computation of the lower bound for `v',
+ // i.e., if the corresponding coefficient `q == expr_u/denom' is
+ // greater than zero. In particular:
+ // if `q >= 1', then `u - v <= lb_u - lb_v';
+ // if `0 < q < 1', then `u - v <= (q*lb_u + (1-q)*ub_u) - lb_v'.
+ PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
+ assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
+ DB_Row<N>& dbm_0 = dbm[0];
+ DB_Row<N>& dbm_v = dbm[v];
+ // Speculative allocation of temporaries to be used in the following loop.
+ PPL_DIRTY_TEMP(mpq_class, ub_u);
+ PPL_DIRTY_TEMP(mpq_class, q);
+ PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
+ PPL_DIRTY_TEMP(N, up_approx);
+ // No need to consider indices greater than `last_v'.
+ for (Linear_Expression::const_iterator u = sc_expr.begin(),
+ u_end = sc_expr.lower_bound(Variable(last_v)); u != u_end; ++u) {
+ const Variable u_var = u.variable();
+ const dimension_type u_dim = u_var.space_dimension();
+ if (u_var.space_dimension() == v)
+ continue;
+ const Coefficient& expr_u = *u;
+ if (expr_u < 0)
+ continue;
+ PPL_ASSERT(expr_u > 0);
+ if (expr_u >= sc_denom)
+ // Deducing `u - v <= lb_u - lb_v',
+ // i.e., `u - v <= (-lb_v) - (-lb_u)'.
+ sub_assign_r(dbm_v[u_dim], minus_lb_v, dbm[u_dim][0], ROUND_UP);
+ else {
+ const N& dbm_0u = dbm_0[u_dim];
+ if (!is_plus_infinity(dbm_0u)) {
+ // Let `ub_u' and `lb_u' be the known upper and lower bound
+ // for `u', respectively. Letting `q = expr_u/sc_denom' be the
+ // rational coefficient of `u' in `sc_expr/sc_denom',
+ // the upper bound for `u - v' is computed as
+ // `(q * lb_u + (1-q) * ub_u) - lb_v', i.e.,
+ // `ub_u - q * (ub_u + (-lb_u)) + minus_lb_v'.
+ assign_r(ub_u, dbm_0u, ROUND_NOT_NEEDED);
+ assign_r(q, expr_u, ROUND_NOT_NEEDED);
+ div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
+ assign_r(minus_lb_u, dbm[u_dim][0], ROUND_NOT_NEEDED);
+ // Compute `ub_u - lb_u'.
+ add_assign_r(minus_lb_u, minus_lb_u, ub_u, ROUND_NOT_NEEDED);
+ // Compute `ub_u - q * (ub_u - lb_u)'.
+ sub_mul_assign_r(ub_u, q, minus_lb_u, ROUND_NOT_NEEDED);
+ assign_r(up_approx, ub_u, ROUND_UP);
+ // Deducing `u - v <= (q*lb_u + (1-q)*ub_u) - lb_v'.
+ add_assign_r(dbm_v[u_dim], up_approx, minus_lb_v, ROUND_UP);
+ }
+ }
+ }
+}
+
+template <typename T>
+void
+BD_Shape<T>::forget_all_dbm_constraints(const dimension_type v) {
+ PPL_ASSERT(0 < v && v <= dbm.num_rows());
+ DB_Row<N>& dbm_v = dbm[v];
+ for (dimension_type i = dbm.num_rows(); i-- > 0; ) {
+ assign_r(dbm_v[i], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(dbm[i][v], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+}
+
+template <typename T>
+void
+BD_Shape<T>::forget_binary_dbm_constraints(const dimension_type v) {
+ PPL_ASSERT(0 < v && v <= dbm.num_rows());
+ DB_Row<N>& dbm_v = dbm[v];
+ for (dimension_type i = dbm.num_rows()-1; i > 0; --i) {
+ assign_r(dbm_v[i], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(dbm[i][v], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+}
+
+template <typename T>
+void
+BD_Shape<T>::unconstrain(const Variable var) {
+ // Dimension-compatibility check.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dimension() < var_space_dim)
+ throw_dimension_incompatible("unconstrain(var)", var_space_dim);
+
+ // Shortest-path closure is necessary to detect emptiness
+ // and all (possibly implicit) constraints.
+ shortest_path_closure_assign();
+
+ // If the shape is empty, this is a no-op.
+ if (marked_empty())
+ return;
+
+ forget_all_dbm_constraints(var_space_dim);
+ // Shortest-path closure is preserved, but not reduction.
+ reset_shortest_path_reduced();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::unconstrain(const Variables_Set& vars) {
+ // The cylindrification with respect to no dimensions is a no-op.
+ // This case captures the only legal cylindrification in a 0-dim space.
+ if (vars.empty())
+ return;
+
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dimension() < min_space_dim)
+ throw_dimension_incompatible("unconstrain(vs)", min_space_dim);
+
+ // Shortest-path closure is necessary to detect emptiness
+ // and all (possibly implicit) constraints.
+ shortest_path_closure_assign();
+
+ // If the shape is empty, this is a no-op.
+ if (marked_empty())
+ return;
+
+ for (Variables_Set::const_iterator vsi = vars.begin(),
+ vsi_end = vars.end(); vsi != vsi_end; ++vsi)
+ forget_all_dbm_constraints(*vsi + 1);
+ // Shortest-path closure is preserved, but not reduction.
+ reset_shortest_path_reduced();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::refine(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ PPL_ASSERT(denominator != 0);
+ PPL_ASSERT(space_dimension() >= expr.space_dimension());
+ const dimension_type v = var.id() + 1;
+ PPL_ASSERT(v <= space_dimension());
+ PPL_ASSERT(expr.coefficient(var) == 0);
+ PPL_ASSERT(relsym != LESS_THAN && relsym != GREATER_THAN);
+
+ const Coefficient& b = expr.inhomogeneous_term();
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Index of the last non-zero coefficient in `expr', if any.
+ dimension_type w = expr.last_nonzero();
+
+ if (w != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w))
+ ++t;
+ }
+
+ // Since we are only able to record bounded differences, we can
+ // precisely deal with the case of a single variable only if its
+ // coefficient (taking into account the denominator) is 1.
+ // If this is not the case, we fall back to the general case
+ // so as to over-approximate the constraint.
+ if (t == 1 && expr.get(Variable(w - 1)) != denominator)
+ t = 2;
+
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*w + b, where `w != v' and `a == denominator';
+ // - If t == 2, the `expr' is of the general form.
+ const DB_Row<N>& dbm_0 = dbm[0];
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign(minus_denom, denominator);
+
+ if (t == 0) {
+ // Case 1: expr == b.
+ switch (relsym) {
+ case EQUAL:
+ // Add the constraint `var == b/denominator'.
+ add_dbm_constraint(0, v, b, denominator);
+ add_dbm_constraint(v, 0, b, minus_denom);
+ break;
+ case LESS_OR_EQUAL:
+ // Add the constraint `var <= b/denominator'.
+ add_dbm_constraint(0, v, b, denominator);
+ break;
+ case GREATER_OR_EQUAL:
+ // Add the constraint `var >= b/denominator',
+ // i.e., `-var <= -b/denominator',
+ add_dbm_constraint(v, 0, b, minus_denom);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ return;
+ }
+
+ if (t == 1) {
+ // Case 2: expr == a*w + b, w != v, a == denominator.
+ PPL_ASSERT(expr.get(Variable(w - 1)) == denominator);
+ PPL_DIRTY_TEMP(N, d);
+ switch (relsym) {
+ case EQUAL:
+ // Add the new constraint `v - w <= b/denominator'.
+ div_round_up(d, b, denominator);
+ add_dbm_constraint(w, v, d);
+ // Add the new constraint `v - w >= b/denominator',
+ // i.e., `w - v <= -b/denominator'.
+ div_round_up(d, b, minus_denom);
+ add_dbm_constraint(v, w, d);
+ break;
+ case LESS_OR_EQUAL:
+ // Add the new constraint `v - w <= b/denominator'.
+ div_round_up(d, b, denominator);
+ add_dbm_constraint(w, v, d);
+ break;
+ case GREATER_OR_EQUAL:
+ // Add the new constraint `v - w >= b/denominator',
+ // i.e., `w - v <= -b/denominator'.
+ div_round_up(d, b, minus_denom);
+ add_dbm_constraint(v, w, d);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ return;
+ }
+
+ // Here t == 2, so that either
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2, or
+ // expr == a*w + b, w != v and a != denominator.
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -expr;
+ const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, sum);
+ // Indices of the variables that are unbounded in `this->dbm'.
+ PPL_UNINITIALIZED(dimension_type, pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pinf_count = 0;
+
+ // Speculative allocation of temporaries that are used in most
+ // of the computational traces starting from this point (also loops).
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ PPL_DIRTY_TEMP(N, coeff_i);
+
+ switch (relsym) {
+ case EQUAL:
+ {
+ PPL_DIRTY_TEMP(N, neg_sum);
+ // Indices of the variables that are unbounded in `this->dbm'.
+ PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
+ // Number of unbounded variables found.
+ dimension_type neg_pinf_count = 0;
+
+ // Compute an upper approximation for `expr' into `sum',
+ // taking into account the sign of `denominator'.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, sc_b, ROUND_UP);
+ assign_r(neg_sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `expr'.
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const dimension_type i_dim = i.variable().space_dimension();
+ const Coefficient& sc_i = *i;
+ const int sign_i = sgn(sc_i);
+ PPL_ASSERT(sign_i != 0);
+ if (sign_i > 0) {
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pinf_count <= 1) {
+ const N& approx_i = dbm_0[i_dim];
+ if (!is_plus_infinity(approx_i))
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ else {
+ ++pinf_count;
+ pinf_index = i_dim;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& approx_minus_i = dbm[i_dim][0];
+ if (!is_plus_infinity(approx_minus_i))
+ add_mul_assign_r(neg_sum, coeff_i, approx_minus_i, ROUND_UP);
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = i_dim;
+ }
+ }
+ }
+ else {
+ PPL_ASSERT(sign_i < 0);
+ neg_assign(minus_sc_i, sc_i);
+ // Note: using temporary named `coeff_i' to store -coeff_i.
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pinf_count <= 1) {
+ const N& approx_minus_i = dbm[i_dim][0];
+ if (!is_plus_infinity(approx_minus_i))
+ add_mul_assign_r(sum, coeff_i, approx_minus_i, ROUND_UP);
+ else {
+ ++pinf_count;
+ pinf_index = i_dim;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& approx_i = dbm_0[i_dim];
+ if (!is_plus_infinity(approx_i))
+ add_mul_assign_r(neg_sum, coeff_i, approx_i, ROUND_UP);
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = i_dim;
+ }
+ }
+ }
+ }
+ // Return immediately if no approximation could be computed.
+ if (pinf_count > 1 && neg_pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // In the following, shortest-path closure will be definitely lost.
+ reset_shortest_path_closed();
+
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+
+ // Exploit the upper approximation, if possible.
+ if (pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (down_sc_denom != 1)
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ // Add the upper bound constraint, if meaningful.
+ if (pinf_count == 0) {
+ // Add the constraint `v <= sum'.
+ dbm[0][v] = sum;
+ // Deduce constraints of the form `v - u', where `u != v'.
+ deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, sum);
+ }
+ else
+ // Here `pinf_count == 1'.
+ if (pinf_index != v
+ && sc_expr.get(Variable(pinf_index - 1)) == sc_denom)
+ // Add the constraint `v - pinf_index <= sum'.
+ dbm[pinf_index][v] = sum;
+ }
+
+ // Exploit the lower approximation, if possible.
+ if (neg_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (down_sc_denom != 1)
+ div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
+ // Add the lower bound constraint, if meaningful.
+ if (neg_pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ DB_Row<N>& dbm_v = dbm[v];
+ dbm_v[0] = neg_sum;
+ // Deduce constraints of the form `u - v', where `u != v'.
+ deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, neg_sum);
+ }
+ else
+ // Here `neg_pinf_count == 1'.
+ if (neg_pinf_index != v
+ && sc_expr.get(Variable(neg_pinf_index - 1)) == sc_denom)
+ // Add the constraint `v - neg_pinf_index >= -neg_sum',
+ // i.e., `neg_pinf_index - v <= neg_sum'.
+ dbm[v][neg_pinf_index] = neg_sum;
+ }
+ }
+ break;
+
+ case LESS_OR_EQUAL:
+ // Compute an upper approximation for `expr' into `sum',
+ // taking into account the sign of `denominator'.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `expr'.
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const Coefficient& sc_i = *i;
+ const dimension_type i_dim = i.variable().space_dimension();
+ const int sign_i = sgn(sc_i);
+ PPL_ASSERT(sign_i != 0);
+ // Choose carefully: we are approximating `sc_expr'.
+ const N& approx_i = (sign_i > 0) ? dbm_0[i_dim] : dbm[i_dim][0];
+ if (is_plus_infinity(approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = i_dim;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is achieved
+ // by rounding upwards `minus_sc - denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v <= sum'.
+ add_dbm_constraint(0, v, sum);
+ // Deduce constraints of the form `v - u', where `u != v'.
+ deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1)
+ if (expr.get(Variable(pinf_index - 1)) == denominator)
+ // Add the constraint `v - pinf_index <= sum'.
+ add_dbm_constraint(pinf_index, v, sum);
+ break;
+
+ case GREATER_OR_EQUAL:
+ // Compute an upper approximation for `-sc_expr' into `sum'.
+ // Note: approximating `-sc_expr' from above and then negating the
+ // result is the same as approximating `sc_expr' from below.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `-sc_expr'.
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const Coefficient& sc_i = *i;
+ const dimension_type i_dim = i.variable().space_dimension();
+ const int sign_i = sgn(sc_i);
+ PPL_ASSERT(sign_i != 0);
+ // Choose carefully: we are approximating `-sc_expr'.
+ const N& approx_i = (sign_i > 0) ? dbm[i_dim][0] : dbm_0[i_dim];
+ if (is_plus_infinity(approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = i_dim;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be positive,
+ // this amounts to rounding downwards, which is achieved by rounding
+ // upwards `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v >= -sum', i.e., `-v <= sum'.
+ add_dbm_constraint(v, 0, sum);
+ // Deduce constraints of the form `u - v', where `u != v'.
+ deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1)
+ if (pinf_index != v
+ && expr.get(Variable(pinf_index - 1)) == denominator)
+ // Add the constraint `v - pinf_index >= -sum',
+ // i.e., `pinf_index - v <= sum'.
+ add_dbm_constraint(v, pinf_index, sum);
+ break;
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::affine_image(const Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("affine_image(v, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("affine_image(v, e, d)", "e", expr);
+
+ // `var' should be one of the dimensions of the shape.
+ const dimension_type v = var.id() + 1;
+ if (v > space_dim)
+ throw_dimension_incompatible("affine_image(v, e, d)", var.id());
+
+ // The image of an empty BDS is empty too.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ const Coefficient& b = expr.inhomogeneous_term();
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Index of the last non-zero coefficient in `expr', if any.
+ dimension_type w = expr.last_nonzero();
+
+ if (w != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w))
+ ++t;
+ }
+
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `expr' is of the general form.
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign(minus_denom, denominator);
+
+ if (t == 0) {
+ // Case 1: expr == b.
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ // Add the constraint `var == b/denominator'.
+ add_dbm_constraint(0, v, b, denominator);
+ add_dbm_constraint(v, 0, b, minus_denom);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // Value of the one and only non-zero coefficient in `expr'.
+ const Coefficient& a = expr.get(Variable(w - 1));
+ if (a == denominator || a == minus_denom) {
+ // Case 2: expr == a*w + b, with a == +/- denominator.
+ if (w == v) {
+ // `expr' is of the form: a*v + b.
+ if (a == denominator) {
+ if (b == 0)
+ // The transformation is the identity function.
+ return;
+ else {
+ // Translate all the constraints on `var',
+ // adding or subtracting the value `b/denominator'.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ PPL_DIRTY_TEMP(N, c);
+ div_round_up(c, b, minus_denom);
+ DB_Row<N>& dbm_v = dbm[v];
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ N& dbm_vi = dbm_v[i];
+ add_assign_r(dbm_vi, dbm_vi, c, ROUND_UP);
+ N& dbm_iv = dbm[i][v];
+ add_assign_r(dbm_iv, dbm_iv, d, ROUND_UP);
+ }
+ // Both shortest-path closure and reduction are preserved.
+ }
+ }
+ else {
+ // Here `a == -denominator'.
+ // Remove the binary constraints on `var'.
+ forget_binary_dbm_constraints(v);
+ // Swap the unary constraints on `var'.
+ using std::swap;
+ swap(dbm[v][0], dbm[0][v]);
+ // Shortest-path closure is not preserved.
+ reset_shortest_path_closed();
+ if (b != 0) {
+ // Translate the unary constraints on `var',
+ // adding or subtracting the value `b/denominator'.
+ PPL_DIRTY_TEMP(N, c);
+ div_round_up(c, b, minus_denom);
+ N& dbm_v0 = dbm[v][0];
+ add_assign_r(dbm_v0, dbm_v0, c, ROUND_UP);
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ N& dbm_0v = dbm[0][v];
+ add_assign_r(dbm_0v, dbm_0v, d, ROUND_UP);
+ }
+ }
+ }
+ else {
+ // Here `w != v', so that `expr' is of the form
+ // +/-denominator * w + b.
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ if (a == denominator) {
+ // Add the new constraint `v - w == b/denominator'.
+ add_dbm_constraint(w, v, b, denominator);
+ add_dbm_constraint(v, w, b, minus_denom);
+ }
+ else {
+ // Here a == -denominator, so that we should be adding
+ // the constraint `v + w == b/denominator'.
+ // Approximate it by computing lower and upper bounds for `w'.
+ const N& dbm_w0 = dbm[w][0];
+ if (!is_plus_infinity(dbm_w0)) {
+ // Add the constraint `v <= b/denominator - lower_w'.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ add_assign_r(dbm[0][v], d, dbm_w0, ROUND_UP);
+ reset_shortest_path_closed();
+ }
+ const N& dbm_0w = dbm[0][w];
+ if (!is_plus_infinity(dbm_0w)) {
+ // Add the constraint `v >= b/denominator - upper_w'.
+ PPL_DIRTY_TEMP(N, c);
+ div_round_up(c, b, minus_denom);
+ add_assign_r(dbm[v][0], dbm_0w, c, ROUND_UP);
+ reset_shortest_path_closed();
+ }
+ }
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t == 1, expr == a*w + b, but a <> +/- denominator.
+ // We will remove all the constraints on `var' and add back
+ // constraints providing upper and lower bounds for `var'.
+
+ // Compute upper approximations for `expr' and `-expr'
+ // into `pos_sum' and `neg_sum', respectively, taking into account
+ // the sign of `denominator'.
+ // Note: approximating `-expr' from above and then negating the
+ // result is the same as approximating `expr' from below.
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -expr;
+ const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, pos_sum);
+ PPL_DIRTY_TEMP(N, neg_sum);
+ // Indices of the variables that are unbounded in `this->dbm'.
+ PPL_UNINITIALIZED(dimension_type, pos_pinf_index);
+ PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pos_pinf_count = 0;
+ dimension_type neg_pinf_count = 0;
+
+ // Approximate the inhomogeneous term.
+ assign_r(pos_sum, sc_b, ROUND_UP);
+ assign_r(neg_sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ const DB_Row<N>& dbm_0 = dbm[0];
+ // Speculative allocation of temporaries to be used in the following loop.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const Coefficient& sc_i = *i;
+ const dimension_type i_dim = i.variable().space_dimension();
+ const int sign_i = sgn(sc_i);
+ if (sign_i > 0) {
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pos_pinf_count <= 1) {
+ const N& up_approx_i = dbm_0[i_dim];
+ if (!is_plus_infinity(up_approx_i))
+ add_mul_assign_r(pos_sum, coeff_i, up_approx_i, ROUND_UP);
+ else {
+ ++pos_pinf_count;
+ pos_pinf_index = i_dim;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& up_approx_minus_i = dbm[i_dim][0];
+ if (!is_plus_infinity(up_approx_minus_i))
+ add_mul_assign_r(neg_sum, coeff_i, up_approx_minus_i, ROUND_UP);
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = i_dim;
+ }
+ }
+ }
+ else {
+ PPL_ASSERT(sign_i < 0);
+ neg_assign(minus_sc_i, sc_i);
+ // Note: using temporary named `coeff_i' to store -coeff_i.
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pos_pinf_count <= 1) {
+ const N& up_approx_minus_i = dbm[i_dim][0];
+ if (!is_plus_infinity(up_approx_minus_i))
+ add_mul_assign_r(pos_sum, coeff_i, up_approx_minus_i, ROUND_UP);
+ else {
+ ++pos_pinf_count;
+ pos_pinf_index = i_dim;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& up_approx_i = dbm_0[i_dim];
+ if (!is_plus_infinity(up_approx_i))
+ add_mul_assign_r(neg_sum, coeff_i, up_approx_i, ROUND_UP);
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = i_dim;
+ }
+ }
+ }
+ }
+
+ // Remove all constraints on 'v'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is maintained, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ // Return immediately if no approximation could be computed.
+ if (pos_pinf_count > 1 && neg_pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // In the following, shortest-path closure will be definitely lost.
+ reset_shortest_path_closed();
+
+ // Exploit the upper approximation, if possible.
+ if (pos_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(pos_sum, pos_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the upper bound constraint, if meaningful.
+ if (pos_pinf_count == 0) {
+ // Add the constraint `v <= pos_sum'.
+ dbm[0][v] = pos_sum;
+ // Deduce constraints of the form `v - u', where `u != v'.
+ deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, pos_sum);
+ }
+ else
+ // Here `pos_pinf_count == 1'.
+ if (pos_pinf_index != v
+ && sc_expr.get(Variable(pos_pinf_index - 1)) == sc_denom)
+ // Add the constraint `v - pos_pinf_index <= pos_sum'.
+ dbm[pos_pinf_index][v] = pos_sum;
+ }
+
+ // Exploit the lower approximation, if possible.
+ if (neg_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the lower bound constraint, if meaningful.
+ if (neg_pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ DB_Row<N>& dbm_v = dbm[v];
+ dbm_v[0] = neg_sum;
+ // Deduce constraints of the form `u - v', where `u != v'.
+ deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, neg_sum);
+ }
+ else
+ // Here `neg_pinf_count == 1'.
+ if (neg_pinf_index != v
+ && sc_expr.get(Variable(neg_pinf_index - 1)) == sc_denom)
+ // Add the constraint `v - neg_pinf_index >= -neg_sum',
+ // i.e., `neg_pinf_index - v <= neg_sum'.
+ dbm[v][neg_pinf_index] = neg_sum;
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+BD_Shape<T>::affine_form_image(const Variable var,
+ const Linear_Form< Interval<T, Interval_Info> >& lf) {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "BD_Shape<T>::affine_form_image(Variable, Linear_Form):"
+ " T not a floating point type.");
+
+ // Dimension-compatibility checks.
+ // The dimension of `lf' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type lf_space_dim = lf.space_dimension();
+ if (space_dim < lf_space_dim)
+ throw_dimension_incompatible("affine_form_image(var_id, l)", "l", lf);
+
+ // `var' should be one of the dimensions of the shape.
+ const dimension_type var_id = var.id() + 1;
+ if (space_dim < var_id)
+ throw_dimension_incompatible("affine_form_image(var_id, l)", var.id());
+
+ // The image of an empty BDS is empty too.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lf': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Index of the last non-zero coefficient in `lf', if any.
+ dimension_type w_id = 0;
+ // Get information about the number of non-zero coefficients in `lf'.
+ for (dimension_type i = lf_space_dim; i-- > 0; )
+ if (lf.coefficient(Variable(i)) != 0) {
+ if (t++ == 1)
+ break;
+ else
+ w_id = i + 1;
+ }
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ const FP_Interval_Type& b = lf.inhomogeneous_term();
+
+ // Now we know the form of `lf':
+ // - If t == 0, then lf == b, with `b' a constant;
+ // - If t == 1, then lf == a*w + b, where `w' can be `v' or another
+ // variable;
+ // - If t == 2, the linear form 'lf' is of the general form.
+
+ if (t == 0) {
+ inhomogeneous_affine_form_image(var_id, b);
+ PPL_ASSERT(OK());
+ return;
+ }
+ else if (t == 1) {
+ const FP_Interval_Type& w_coeff = lf.coefficient(Variable(w_id - 1));
+ if (w_coeff == 1 || w_coeff == -1) {
+ one_variable_affine_form_image(var_id, b, w_coeff, w_id, space_dim);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ two_variables_affine_form_image(var_id, lf, space_dim);
+ PPL_ASSERT(OK());
+}
+
+// Case 1: var = b, where b = [-b_mlb, b_ub]
+template <typename T>
+template <typename Interval_Info>
+void
+BD_Shape<T>
+::inhomogeneous_affine_form_image(const dimension_type& var_id,
+ const Interval<T, Interval_Info>& b) {
+ PPL_DIRTY_TEMP(N, b_ub);
+ assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(N, b_mlb);
+ neg_assign_r(b_mlb, b.lower(), ROUND_NOT_NEEDED);
+
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(var_id);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ // Add the constraint `var >= lb && var <= ub'.
+ add_dbm_constraint(0, var_id, b_ub);
+ add_dbm_constraint(var_id, 0, b_mlb);
+ return;
+}
+
+// case 2: var = (+/-1) * w + [-b_mlb, b_ub], where `w' can be `var'
+// or another variable.
+template <typename T>
+template <typename Interval_Info>
+void BD_Shape<T>
+::one_variable_affine_form_image(const dimension_type& var_id,
+ const Interval<T, Interval_Info>& b,
+ const Interval<T, Interval_Info>& w_coeff,
+ const dimension_type& w_id,
+ const dimension_type& space_dim) {
+
+ PPL_DIRTY_TEMP(N, b_ub);
+ assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(N, b_mlb);
+ neg_assign_r(b_mlb, b.lower(), ROUND_NOT_NEEDED);
+
+ // True if `w_coeff' is in [1, 1].
+ bool is_w_coeff_one = (w_coeff == 1);
+
+ if (w_id == var_id) {
+ // True if `b' is in [b_mlb, b_ub] and that is [0, 0].
+ bool is_b_zero = (b_mlb == 0 && b_ub == 0);
+ // Here `lf' is of the form: [+/-1, +/-1] * v + b.
+ if (is_w_coeff_one) {
+ if (is_b_zero)
+ // The transformation is the identity function.
+ return;
+ else {
+ // Translate all the constraints on `var' by adding the value
+ // `b_ub' or subtracting the value `b_mlb'.
+ DB_Row<N>& dbm_v = dbm[var_id];
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ N& dbm_vi = dbm_v[i];
+ add_assign_r(dbm_vi, dbm_vi, b_mlb, ROUND_UP);
+ N& dbm_iv = dbm[i][var_id];
+ add_assign_r(dbm_iv, dbm_iv, b_ub, ROUND_UP);
+ }
+ // Both shortest-path closure and reduction are preserved.
+ }
+ }
+ else {
+ // Here `w_coeff = [-1, -1].
+ // Remove the binary constraints on `var'.
+ forget_binary_dbm_constraints(var_id);
+ using std::swap;
+ swap(dbm[var_id][0], dbm[0][var_id]);
+ // Shortest-path closure is not preserved.
+ reset_shortest_path_closed();
+ if (!is_b_zero) {
+ // Translate the unary constraints on `var' by adding the value
+ // `b_ub' or subtracting the value `b_mlb'.
+ N& dbm_v0 = dbm[var_id][0];
+ add_assign_r(dbm_v0, dbm_v0, b_mlb, ROUND_UP);
+ N& dbm_0v = dbm[0][var_id];
+ add_assign_r(dbm_0v, dbm_0v, b_ub, ROUND_UP);
+ }
+ }
+ }
+ else {
+ // Here `w != var', so that `lf' is of the form
+ // [+/-1, +/-1] * w + b.
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(var_id);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ if (is_w_coeff_one) {
+ // Add the new constraints `var - w >= b_mlb'
+ // `and var - w <= b_ub'.
+ add_dbm_constraint(w_id, var_id, b_ub);
+ add_dbm_constraint(var_id, w_id, b_mlb);
+ }
+ else {
+ // We have to add the constraint `v + w == b', over-approximating it
+ // by computing lower and upper bounds for `w'.
+ const N& mlb_w = dbm[w_id][0];
+ if (!is_plus_infinity(mlb_w)) {
+ // Add the constraint `v <= ub - lb_w'.
+ add_assign_r(dbm[0][var_id], b_ub, mlb_w, ROUND_UP);
+ reset_shortest_path_closed();
+ }
+ const N& ub_w = dbm[0][w_id];
+ if (!is_plus_infinity(ub_w)) {
+ // Add the constraint `v >= lb - ub_w'.
+ add_assign_r(dbm[var_id][0], ub_w, b_mlb, ROUND_UP);
+ reset_shortest_path_closed();
+ }
+ }
+ }
+ return;
+}
+
+// General case.
+// Either t == 2, so that
+// lf == i_1*x_1 + i_2*x_2 + ... + i_n*x_n + b, where n >= 2,
+// or t == 1, lf == i*w + b, but i <> [+/-1, +/-1].
+template <typename T>
+template <typename Interval_Info>
+void BD_Shape<T>
+::two_variables_affine_form_image(const dimension_type& var_id,
+ const Linear_Form< Interval<T, Interval_Info> >& lf,
+ const dimension_type& space_dim) {
+ // Shortest-path closure is maintained, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+
+ reset_shortest_path_closed();
+
+ Linear_Form< Interval<T, Interval_Info> > minus_lf(lf);
+ minus_lf.negate();
+
+ // Declare temporaries outside the loop.
+ PPL_DIRTY_TEMP(N, upper_bound);
+
+ // Update binary constraints on var FIRST.
+ for (dimension_type curr_var = 1; curr_var < var_id; ++curr_var) {
+ Variable current(curr_var - 1);
+ linear_form_upper_bound(lf - current, upper_bound);
+ assign_r(dbm[curr_var][var_id], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(minus_lf + current, upper_bound);
+ assign_r(dbm[var_id][curr_var], upper_bound, ROUND_NOT_NEEDED);
+ }
+ for (dimension_type curr_var = var_id + 1; curr_var <= space_dim;
+ ++curr_var) {
+ Variable current(curr_var - 1);
+ linear_form_upper_bound(lf - current, upper_bound);
+ assign_r(dbm[curr_var][var_id], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(minus_lf + current, upper_bound);
+ assign_r(dbm[var_id][curr_var], upper_bound, ROUND_NOT_NEEDED);
+ }
+ // Finally, update unary constraints on var.
+ PPL_DIRTY_TEMP(N, lf_ub);
+ linear_form_upper_bound(lf, lf_ub);
+ PPL_DIRTY_TEMP(N, minus_lf_ub);
+ linear_form_upper_bound(minus_lf, minus_lf_ub);
+ assign_r(dbm[0][var_id], lf_ub, ROUND_NOT_NEEDED);
+ assign_r(dbm[var_id][0], minus_lf_ub, ROUND_NOT_NEEDED);
+}
+
+template <typename T>
+template <typename Interval_Info>
+void BD_Shape<T>::refine_with_linear_form_inequality(
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "Octagonal_Shape<T>::refine_with_linear_form_inequality:"
+ " T not a floating point type.");
+
+ //We assume that the analyzer will not try to apply an unreachable filter.
+ PPL_ASSERT(!marked_empty());
+
+ // Dimension-compatibility checks.
+ // The dimensions of `left' and `right' should not be greater than the
+ // dimension of `*this'.
+ const dimension_type left_space_dim = left.space_dimension();
+ const dimension_type space_dim = space_dimension();
+ if (space_dim < left_space_dim)
+ throw_dimension_incompatible(
+ "refine_with_linear_form_inequality(left, right)", "left", left);
+
+ const dimension_type right_space_dim = right.space_dimension();
+ if (space_dim < right_space_dim)
+ throw_dimension_incompatible(
+ "refine_with_linear_form_inequality(left, right)", "right", right);
+
+ // Number of non-zero coefficients in `left': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type left_t = 0;
+ // Variable-index of the last non-zero coefficient in `left', if any.
+ dimension_type left_w_id = 0;
+ // Number of non-zero coefficients in `right': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type right_t = 0;
+ // Variable-index of the last non-zero coefficient in `right', if any.
+ dimension_type right_w_id = 0;
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ // Get information about the number of non-zero coefficients in `left'.
+ for (dimension_type i = left_space_dim; i-- > 0; )
+ if (left.coefficient(Variable(i)) != 0) {
+ if (left_t++ == 1)
+ break;
+ else
+ left_w_id = i;
+ }
+
+ // Get information about the number of non-zero coefficients in `right'.
+ for (dimension_type i = right_space_dim; i-- > 0; )
+ if (right.coefficient(Variable(i)) != 0) {
+ if (right_t++ == 1)
+ break;
+ else
+ right_w_id = i;
+ }
+
+ const FP_Interval_Type& left_w_coeff =
+ left.coefficient(Variable(left_w_id));
+ const FP_Interval_Type& right_w_coeff =
+ right.coefficient(Variable(right_w_id));
+
+ if (left_t == 0) {
+ if (right_t == 0) {
+ // The constraint involves constants only. Ignore it: it is up to
+ // the analyzer to handle it.
+ PPL_ASSERT(OK());
+ return;
+ }
+ else if (right_w_coeff == 1 || right_w_coeff == -1) {
+ left_inhomogeneous_refine(right_t, right_w_id, left, right);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ else if (left_t == 1) {
+ if (left_w_coeff == 1 || left_w_coeff == -1) {
+ if (right_t == 0 || (right_w_coeff == 1 || right_w_coeff == -1)) {
+ left_one_var_refine(left_w_id, right_t, right_w_id, left, right);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ }
+
+ // General case.
+ general_refine(left_w_id, right_w_id, left, right);
+ PPL_ASSERT(OK());
+} // end of refine_with_linear_form_inequality
+
+template <typename T>
+template <typename U>
+void
+BD_Shape<T>
+::export_interval_constraints(U& dest) const {
+ const dimension_type space_dim = space_dimension();
+ if (space_dim > dest.space_dimension())
+ throw std::invalid_argument(
+ "BD_Shape<T>::export_interval_constraints");
+
+ // Expose all the interval constraints.
+ shortest_path_closure_assign();
+
+ if (marked_empty()) {
+ dest.set_empty();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ PPL_DIRTY_TEMP(N, tmp);
+ const DB_Row<N>& dbm_0 = dbm[0];
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ // Set the upper bound.
+ const N& u = dbm_0[i+1];
+ if (!is_plus_infinity(u))
+ if (!dest.restrict_upper(i, u.raw_value()))
+ return;
+
+ // Set the lower bound.
+ const N& negated_l = dbm[i+1][0];
+ if (!is_plus_infinity(negated_l)) {
+ neg_assign_r(tmp, negated_l, ROUND_DOWN);
+ if (!dest.restrict_lower(i, tmp.raw_value()))
+ return;
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+BD_Shape<T>::left_inhomogeneous_refine(const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ if (right_t == 1) {
+ // The constraint has the form [a-, a+] <= [b-, b+] + [c-, c+] * x.
+ // Reduce it to the constraint +/-x <= b+ - a- if [c-, c+] = +/-[1, 1].
+ const FP_Interval_Type& right_w_coeff =
+ right.coefficient(Variable(right_w_id));
+ if (right_w_coeff == 1) {
+ PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_b = right.inhomogeneous_term();
+ sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
+ ROUND_UP);
+ add_dbm_constraint(right_w_id+1, 0, b_plus_minus_a_minus);
+ return;
+ }
+
+ if (right_w_coeff == -1) {
+ PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_b = right.inhomogeneous_term();
+ sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
+ ROUND_UP);
+ add_dbm_constraint(0, right_w_id+1, b_plus_minus_a_minus);
+ return;
+ }
+ }
+} // end of left_inhomogeneous_refine
+
+
+template <typename T>
+template <typename Interval_Info>
+void
+BD_Shape<T>
+::left_one_var_refine(const dimension_type& left_w_id,
+ const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ if (right_t == 0) {
+ // The constraint has the form [b-, b+] + [c-, c+] * x <= [a-, a+]
+ // Reduce it to the constraint +/-x <= a+ - b- if [c-, c+] = +/-[1, 1].
+ const FP_Interval_Type& left_w_coeff =
+ left.coefficient(Variable(left_w_id));
+
+ if (left_w_coeff == 1) {
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ add_dbm_constraint(0, left_w_id+1, a_plus_minus_b_minus);
+ return;
+ }
+
+ if (left_w_coeff == -1) {
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ add_dbm_constraint(left_w_id+1, 0, a_plus_minus_b_minus);
+ return;
+ }
+ }
+ else if (right_t == 1) {
+ // The constraint has the form
+ // [a-, a+] + [b-, b+] * x <= [c-, c+] + [d-, d+] * y.
+ // Reduce it to the constraint +/-x +/-y <= c+ - a-
+ // if [b-, b+] = +/-[1, 1] and [d-, d+] = +/-[1, 1].
+ const FP_Interval_Type& left_w_coeff =
+ left.coefficient(Variable(left_w_id));
+
+ const FP_Interval_Type& right_w_coeff =
+ right.coefficient(Variable(right_w_id));
+
+ bool is_left_coeff_one = (left_w_coeff == 1);
+ bool is_left_coeff_minus_one = (left_w_coeff == -1);
+ bool is_right_coeff_one = (right_w_coeff == 1);
+ bool is_right_coeff_minus_one = (right_w_coeff == -1);
+ if (left_w_id == right_w_id) {
+ if ((is_left_coeff_one && is_right_coeff_one)
+ ||
+ (is_left_coeff_minus_one && is_right_coeff_minus_one)) {
+ // Here we have an identity or a constants-only constraint.
+ return;
+ }
+ if (is_left_coeff_one && is_right_coeff_minus_one) {
+ // We fall back to a previous case.
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ div_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
+ ROUND_UP);
+ add_dbm_constraint(0, left_w_id + 1, a_plus_minus_b_minus);
+ return;
+ }
+ if (is_left_coeff_minus_one && is_right_coeff_one) {
+ // We fall back to a previous case.
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ div_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
+ ROUND_UP);
+ add_dbm_constraint(right_w_id + 1, 0, a_plus_minus_b_minus);
+ return;
+ }
+ }
+ else if (is_left_coeff_minus_one && is_right_coeff_one) {
+ // over-approximate (if is it possible) the inequality
+ // -B + [b1, b2] <= A + [a1, a2] by adding the constraints
+ // -B <= upper_bound(A) + (a2 - b1) and
+ // -A <= upper_bound(B) + (a2 - b1)
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ PPL_DIRTY_TEMP(N, ub);
+ ub = dbm[0][right_w_id + 1];
+ if (!is_plus_infinity(ub)) {
+ add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
+ add_dbm_constraint(left_w_id + 1, 0, ub);
+ }
+ ub = dbm[0][left_w_id + 1];
+ if (!is_plus_infinity(ub)) {
+ add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
+ add_dbm_constraint(right_w_id + 1, 0, ub);
+ }
+ return;
+ }
+ if (is_left_coeff_one && is_right_coeff_minus_one) {
+ // over-approximate (if is it possible) the inequality
+ // B + [b1, b2] <= -A + [a1, a2] by adding the constraints
+ // B <= upper_bound(-A) + (a2 - b1) and
+ // A <= upper_bound(-B) + (a2 - b1)
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ PPL_DIRTY_TEMP(N, ub);
+ ub = dbm[right_w_id + 1][0];
+ if (!is_plus_infinity(ub)) {
+ add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
+ add_dbm_constraint(0, left_w_id + 1, ub);
+ }
+ ub = dbm[left_w_id + 1][0];
+ if (!is_plus_infinity(ub)) {
+ add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
+ add_dbm_constraint(0, right_w_id + 1, ub);
+ }
+ return;
+ }
+ if (is_left_coeff_one && is_right_coeff_one) {
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_c = right.inhomogeneous_term();
+ sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
+ ROUND_UP);
+ add_dbm_constraint(right_w_id+1, left_w_id+1, c_plus_minus_a_minus);
+ return;
+ }
+ if (is_left_coeff_minus_one && is_right_coeff_minus_one) {
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_c = right.inhomogeneous_term();
+ sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
+ ROUND_UP);
+ add_dbm_constraint(left_w_id+1, right_w_id+1, c_plus_minus_a_minus);
+ return;
+ }
+ }
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+BD_Shape<T>
+::general_refine(const dimension_type& left_w_id,
+ const dimension_type& right_w_id,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+ Linear_Form<FP_Interval_Type> right_minus_left(right);
+ right_minus_left -= left;
+
+ // Declare temporaries outside of the loop.
+ PPL_DIRTY_TEMP(N, low_coeff);
+ PPL_DIRTY_TEMP(N, high_coeff);
+ PPL_DIRTY_TEMP(N, upper_bound);
+
+ dimension_type max_w_id = std::max(left_w_id, right_w_id);
+
+ for (dimension_type first_v = 0; first_v < max_w_id; ++first_v) {
+ for (dimension_type second_v = first_v+1;
+ second_v <= max_w_id; ++second_v) {
+ const FP_Interval_Type& lfv_coefficient =
+ left.coefficient(Variable(first_v));
+ const FP_Interval_Type& lsv_coefficient =
+ left.coefficient(Variable(second_v));
+ const FP_Interval_Type& rfv_coefficient =
+ right.coefficient(Variable(first_v));
+ const FP_Interval_Type& rsv_coefficient =
+ right.coefficient(Variable(second_v));
+ // We update the constraints only when both variables appear in at
+ // least one argument.
+ bool do_update = false;
+ assign_r(low_coeff, lfv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lfv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0) {
+ assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ else {
+ assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ }
+ }
+ else {
+ assign_r(low_coeff, rfv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rfv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0) {
+ assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ else {
+ assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ }
+ }
+ }
+
+ if (do_update) {
+ Variable first(first_v);
+ Variable second(second_v);
+ dimension_type n_first_var = first_v +1 ;
+ dimension_type n_second_var = second_v + 1;
+ linear_form_upper_bound(right_minus_left - first + second,
+ upper_bound);
+ add_dbm_constraint(n_first_var, n_second_var, upper_bound);
+ linear_form_upper_bound(right_minus_left + first - second,
+ upper_bound);
+ add_dbm_constraint(n_second_var, n_first_var, upper_bound);
+ }
+ }
+ }
+
+ // Finally, update the unary constraints.
+ for (dimension_type v = 0; v < max_w_id; ++v) {
+ const FP_Interval_Type& lv_coefficient =
+ left.coefficient(Variable(v));
+ const FP_Interval_Type& rv_coefficient =
+ right.coefficient(Variable(v));
+ // We update the constraints only if v appears in at least one of the
+ // two arguments.
+ bool do_update = false;
+ assign_r(low_coeff, lv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ else {
+ assign_r(low_coeff, rv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ }
+
+ if (do_update) {
+ Variable var(v);
+ dimension_type n_var = v + 1;
+ linear_form_upper_bound(right_minus_left + var, upper_bound);
+ add_dbm_constraint(0, n_var, upper_bound);
+ linear_form_upper_bound(right_minus_left - var, upper_bound);
+ add_dbm_constraint(n_var, 0, upper_bound);
+ }
+ }
+
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+BD_Shape<T>::
+linear_form_upper_bound(const Linear_Form< Interval<T, Interval_Info> >& lf,
+ N& result) const {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "BD_Shape<T>::linear_form_upper_bound:"
+ " T not a floating point type.");
+
+ const dimension_type lf_space_dimension = lf.space_dimension();
+ PPL_ASSERT(lf_space_dimension <= space_dimension());
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ PPL_DIRTY_TEMP(N, curr_lb);
+ PPL_DIRTY_TEMP(N, curr_ub);
+ PPL_DIRTY_TEMP(N, curr_var_ub);
+ PPL_DIRTY_TEMP(N, curr_minus_var_ub);
+
+ PPL_DIRTY_TEMP(N, first_comparison_term);
+ PPL_DIRTY_TEMP(N, second_comparison_term);
+
+ PPL_DIRTY_TEMP(N, negator);
+
+ assign_r(result, lf.inhomogeneous_term().upper(), ROUND_NOT_NEEDED);
+
+ for (dimension_type curr_var = 0, n_var = 0; curr_var < lf_space_dimension;
+ ++curr_var) {
+ n_var = curr_var + 1;
+ const FP_Interval_Type&
+ curr_coefficient = lf.coefficient(Variable(curr_var));
+ assign_r(curr_lb, curr_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(curr_ub, curr_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (curr_lb != 0 || curr_ub != 0) {
+ assign_r(curr_var_ub, dbm[0][n_var], ROUND_NOT_NEEDED);
+ neg_assign_r(curr_minus_var_ub, dbm[n_var][0], ROUND_NOT_NEEDED);
+ // Optimize the most commons cases: curr = +/-[1, 1].
+ if (curr_lb == 1 && curr_ub == 1) {
+ add_assign_r(result, result, std::max(curr_var_ub, curr_minus_var_ub),
+ ROUND_UP);
+ }
+ else if (curr_lb == -1 && curr_ub == -1) {
+ neg_assign_r(negator, std::min(curr_var_ub, curr_minus_var_ub),
+ ROUND_NOT_NEEDED);
+ add_assign_r(result, result, negator, ROUND_UP);
+ }
+ else {
+ // Next addend will be the maximum of four quantities.
+ assign_r(first_comparison_term, 0, ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ add_mul_assign_r(first_comparison_term, curr_var_ub, curr_ub,
+ ROUND_UP);
+ add_mul_assign_r(second_comparison_term, curr_var_ub, curr_lb,
+ ROUND_UP);
+ assign_r(first_comparison_term, std::max(first_comparison_term,
+ second_comparison_term),
+ ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_ub,
+ ROUND_UP);
+ assign_r(first_comparison_term, std::max(first_comparison_term,
+ second_comparison_term),
+ ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_lb,
+ ROUND_UP);
+ assign_r(first_comparison_term, std::max(first_comparison_term,
+ second_comparison_term),
+ ROUND_NOT_NEEDED);
+
+ add_assign_r(result, result, first_comparison_term, ROUND_UP);
+ }
+ }
+ }
+}
+
+template <typename T>
+void
+BD_Shape<T>::affine_preimage(const Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("affine_preimage(v, e, d)", "e", expr);
+
+ // `var' should be one of the dimensions of
+ // the bounded difference shapes.
+ const dimension_type v = var.id() + 1;
+ if (v > space_dim)
+ throw_dimension_incompatible("affine_preimage(v, e, d)", var.id());
+
+ // The image of an empty BDS is empty too.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ const Coefficient& b = expr.inhomogeneous_term();
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Index of the last non-zero coefficient in `expr', if any.
+ dimension_type j = expr.last_nonzero();
+
+ if (j != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, j))
+ ++t;
+ }
+
+ // Now we know the form of `expr':
+ // - If t == 0, then expr = b, with `b' a constant;
+ // - If t == 1, then expr = a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t > 1, the `expr' is of the general form.
+ if (t == 0) {
+ // Case 1: expr = n; remove all constraints on `var'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // Value of the one and only non-zero coefficient in `expr'.
+ const Coefficient& a = expr.get(Variable(j - 1));
+ if (a == denominator || a == -denominator) {
+ // Case 2: expr = a*w + b, with a = +/- denominator.
+ if (j == var.space_dimension())
+ // Apply affine_image() on the inverse of this transformation.
+ affine_image(var, denominator*var - b, a);
+ else {
+ // `expr == a*w + b', where `w != v'.
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ PPL_ASSERT(OK());
+ }
+ return;
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr = a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t = 1, expr = a*w + b, but a <> +/- denominator.
+ const Coefficient& expr_v = expr.coefficient(var);
+ if (expr_v != 0) {
+ // The transformation is invertible.
+ Linear_Expression inverse((expr_v + denominator)*var);
+ inverse -= expr;
+ affine_image(var, inverse, expr_v);
+ }
+ else {
+ // Transformation not invertible: all constraints on `var' are lost.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>
+::bounded_affine_image(const Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // `var' should be one of the dimensions of the BD_Shape.
+ const dimension_type bds_space_dim = space_dimension();
+ const dimension_type v = var.id() + 1;
+ if (v > bds_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "v", var);
+ // The dimension of `lb_expr' and `ub_expr' should not be
+ // greater than the dimension of `*this'.
+ const dimension_type lb_space_dim = lb_expr.space_dimension();
+ if (bds_space_dim < lb_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "lb", lb_expr);
+ const dimension_type ub_space_dim = ub_expr.space_dimension();
+ if (bds_space_dim < ub_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "ub", ub_expr);
+
+ // Any image of an empty BDS is empty.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ const Coefficient& b = ub_expr.inhomogeneous_term();
+ // Number of non-zero coefficients in `ub_expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Index of the last non-zero coefficient in `ub_expr', if any.
+ dimension_type w = ub_expr.last_nonzero();
+
+ if (w != 0) {
+ ++t;
+ if (!ub_expr.all_zeroes(1, w))
+ ++t;
+ }
+
+ // Now we know the form of `ub_expr':
+ // - If t == 0, then ub_expr == b, with `b' a constant;
+ // - If t == 1, then ub_expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `ub_expr' is of the general form.
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign(minus_denom, denominator);
+
+ if (t == 0) {
+ // Case 1: ub_expr == b.
+ generalized_affine_image(var,
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
+ // Add the constraint `var <= b/denominator'.
+ add_dbm_constraint(0, v, b, denominator);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // Value of the one and only non-zero coefficient in `ub_expr'.
+ const Coefficient& a = ub_expr.get(Variable(w - 1));
+ if (a == denominator || a == minus_denom) {
+ // Case 2: expr == a*w + b, with a == +/- denominator.
+ if (w == v) {
+ // Here `var' occurs in `ub_expr'.
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(bds_space_dim);
+ add_space_dimensions_and_embed(1);
+ // Constrain the new dimension to be equal to `ub_expr'.
+ affine_image(new_var, ub_expr, denominator);
+ // NOTE: enforce shortest-path closure for precision.
+ shortest_path_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ // Apply the affine lower bound.
+ generalized_affine_image(var,
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
+ // Now apply the affine upper bound, as recorded in `new_var'.
+ add_constraint(var <= new_var);
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(bds_space_dim);
+ return;
+ }
+ else {
+ // Here `w != v', so that `expr' is of the form
+ // +/-denominator * w + b.
+ // Apply the affine lower bound.
+ generalized_affine_image(var,
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
+ if (a == denominator) {
+ // Add the new constraint `v - w == b/denominator'.
+ add_dbm_constraint(w, v, b, denominator);
+ }
+ else {
+ // Here a == -denominator, so that we should be adding
+ // the constraint `v + w == b/denominator'.
+ // Approximate it by computing lower and upper bounds for `w'.
+ const N& dbm_w0 = dbm[w][0];
+ if (!is_plus_infinity(dbm_w0)) {
+ // Add the constraint `v <= b/denominator - lower_w'.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ add_assign_r(dbm[0][v], d, dbm_w0, ROUND_UP);
+ reset_shortest_path_closed();
+ }
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // ub_expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t == 1, ub_expr == a*w + b, but a <> +/- denominator.
+ // We will remove all the constraints on `var' and add back
+ // constraints providing upper and lower bounds for `var'.
+
+ // Compute upper approximations for `ub_expr' into `pos_sum'
+ // taking into account the sign of `denominator'.
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -ub_expr;
+ const Linear_Expression& sc_expr = is_sc ? ub_expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, pos_sum);
+ // Index of the variable that are unbounded in `this->dbm'.
+ PPL_UNINITIALIZED(dimension_type, pos_pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pos_pinf_count = 0;
+
+ // Approximate the inhomogeneous term.
+ assign_r(pos_sum, sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ const DB_Row<N>& dbm_0 = dbm[0];
+ // Speculative allocation of temporaries to be used in the following loop.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const Coefficient& sc_i = *i;
+ const dimension_type i_dim = i.variable().space_dimension();
+ const int sign_i = sgn(sc_i);
+ if (sign_i > 0) {
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pos_pinf_count <= 1) {
+ const N& up_approx_i = dbm_0[i_dim];
+ if (!is_plus_infinity(up_approx_i))
+ add_mul_assign_r(pos_sum, coeff_i, up_approx_i, ROUND_UP);
+ else {
+ ++pos_pinf_count;
+ pos_pinf_index = i_dim;
+ }
+ }
+ }
+ else {
+ PPL_ASSERT(sign_i < 0);
+ neg_assign(minus_sc_i, sc_i);
+ // Note: using temporary named `coeff_i' to store -coeff_i.
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pos_pinf_count <= 1) {
+ const N& up_approx_minus_i = dbm[i_dim][0];
+ if (!is_plus_infinity(up_approx_minus_i))
+ add_mul_assign_r(pos_sum, coeff_i, up_approx_minus_i, ROUND_UP);
+ else {
+ ++pos_pinf_count;
+ pos_pinf_index = i_dim;
+ }
+ }
+ }
+ }
+ // Apply the affine lower bound.
+ generalized_affine_image(var,
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
+ // Return immediately if no approximation could be computed.
+ if (pos_pinf_count > 1) {
+ return;
+ }
+
+ // In the following, shortest-path closure will be definitely lost.
+ reset_shortest_path_closed();
+
+ // Exploit the upper approximation, if possible.
+ if (pos_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(pos_sum, pos_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the upper bound constraint, if meaningful.
+ if (pos_pinf_count == 0) {
+ // Add the constraint `v <= pos_sum'.
+ dbm[0][v] = pos_sum;
+ // Deduce constraints of the form `v - u', where `u != v'.
+ deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, pos_sum);
+ }
+ else
+ // Here `pos_pinf_count == 1'.
+ if (pos_pinf_index != v
+ && sc_expr.get(Variable(pos_pinf_index - 1)) == sc_denom)
+ // Add the constraint `v - pos_pinf_index <= pos_sum'.
+ dbm[pos_pinf_index][v] = pos_sum;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>
+::bounded_affine_preimage(const Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // `var' should be one of the dimensions of the BD_Shape.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type v = var.id() + 1;
+ if (v > space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "v", var);
+ // The dimension of `lb_expr' and `ub_expr' should not be
+ // greater than the dimension of `*this'.
+ const dimension_type lb_space_dim = lb_expr.space_dimension();
+ if (space_dim < lb_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "lb", lb_expr);
+ const dimension_type ub_space_dim = ub_expr.space_dimension();
+ if (space_dim < ub_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "ub", ub_expr);
+
+ // Any preimage of an empty BDS is empty.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ if (ub_expr.coefficient(var) == 0) {
+ refine(var, LESS_OR_EQUAL, ub_expr, denominator);
+ generalized_affine_preimage(var, GREATER_OR_EQUAL,
+ lb_expr, denominator);
+ return;
+ }
+ if (lb_expr.coefficient(var) == 0) {
+ refine(var, GREATER_OR_EQUAL, lb_expr, denominator);
+ generalized_affine_preimage(var, LESS_OR_EQUAL,
+ ub_expr, denominator);
+ return;
+ }
+
+ const Coefficient& lb_expr_v = lb_expr.coefficient(var);
+ // Here `var' occurs in `lb_expr' and `ub_expr'.
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(space_dim);
+ add_space_dimensions_and_embed(1);
+ const Linear_Expression lb_inverse
+ = lb_expr - (lb_expr_v + denominator)*var;
+ PPL_DIRTY_TEMP_COEFFICIENT(lb_inverse_denom);
+ neg_assign(lb_inverse_denom, lb_expr_v);
+ affine_image(new_var, lb_inverse, lb_inverse_denom);
+ shortest_path_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ generalized_affine_preimage(var, LESS_OR_EQUAL,
+ ub_expr, denominator);
+ if (sgn(denominator) == sgn(lb_inverse_denom))
+ add_constraint(var >= new_var);
+ else
+ add_constraint(var <= new_var);
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(space_dim);
+}
+
+template <typename T>
+void
+BD_Shape<T>::generalized_affine_image(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
+ "e", expr);
+
+ // `var' should be one of the dimensions of the BDS.
+ const dimension_type v = var.id() + 1;
+ if (v > space_dim)
+ throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
+ var.id());
+
+ // The relation symbol cannot be a strict relation symbol.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)",
+ "r is the disequality relation symbol");
+
+ if (relsym == EQUAL) {
+ // The relation symbol is "=":
+ // this is just an affine image computation.
+ affine_image(var, expr, denominator);
+ return;
+ }
+
+ // The image of an empty BDS is empty too.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ const Coefficient& b = expr.inhomogeneous_term();
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Index of the last non-zero coefficient in `expr', if any.
+ dimension_type w = expr.last_nonzero();
+
+ if (w != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w))
+ ++t;
+ }
+
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `expr' is of the general form.
+ DB_Row<N>& dbm_0 = dbm[0];
+ DB_Row<N>& dbm_v = dbm[v];
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign(minus_denom, denominator);
+
+ if (t == 0) {
+ // Case 1: expr == b.
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(v);
+ // Both shortest-path closure and reduction are lost.
+ reset_shortest_path_closed();
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ // Add the constraint `var <= b/denominator'.
+ add_dbm_constraint(0, v, b, denominator);
+ break;
+ case GREATER_OR_EQUAL:
+ // Add the constraint `var >= b/denominator',
+ // i.e., `-var <= -b/denominator',
+ add_dbm_constraint(v, 0, b, minus_denom);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // Value of the one and only non-zero coefficient in `expr'.
+ const Coefficient& a = expr.get(Variable(w - 1));
+ if (a == denominator || a == minus_denom) {
+ // Case 2: expr == a*w + b, with a == +/- denominator.
+ PPL_DIRTY_TEMP(N, d);
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ div_round_up(d, b, denominator);
+ if (w == v) {
+ // `expr' is of the form: a*v + b.
+ // Shortest-path closure and reduction are not preserved.
+ reset_shortest_path_closed();
+ if (a == denominator) {
+ // Translate each constraint `v - w <= dbm_wv'
+ // into the constraint `v - w <= dbm_wv + b/denominator';
+ // forget each constraint `w - v <= dbm_vw'.
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ N& dbm_iv = dbm[i][v];
+ add_assign_r(dbm_iv, dbm_iv, d, ROUND_UP);
+ assign_r(dbm_v[i], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ else {
+ // Here `a == -denominator'.
+ // Translate the constraint `0 - v <= dbm_v0'
+ // into the constraint `0 - v <= dbm_v0 + b/denominator'.
+ N& dbm_v0 = dbm_v[0];
+ add_assign_r(dbm_0[v], dbm_v0, d, ROUND_UP);
+ // Forget all the other constraints on `v'.
+ assign_r(dbm_v0, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ forget_binary_dbm_constraints(v);
+ }
+ }
+ else {
+ // Here `w != v', so that `expr' is of the form
+ // +/-denominator * w + b, with `w != v'.
+ // Remove all constraints on `v'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ if (a == denominator)
+ // Add the new constraint `v - w <= b/denominator'.
+ add_dbm_constraint(w, v, d);
+ else {
+ // Here a == -denominator, so that we should be adding
+ // the constraint `v <= b/denominator - w'.
+ // Approximate it by computing a lower bound for `w'.
+ const N& dbm_w0 = dbm[w][0];
+ if (!is_plus_infinity(dbm_w0)) {
+ // Add the constraint `v <= b/denominator - lb_w'.
+ add_assign_r(dbm_0[v], d, dbm_w0, ROUND_UP);
+ // Shortest-path closure is not preserved.
+ reset_shortest_path_closed();
+ }
+ }
+ }
+ break;
+
+ case GREATER_OR_EQUAL:
+ div_round_up(d, b, minus_denom);
+ if (w == v) {
+ // `expr' is of the form: a*w + b.
+ // Shortest-path closure and reduction are not preserved.
+ reset_shortest_path_closed();
+ if (a == denominator) {
+ // Translate each constraint `w - v <= dbm_vw'
+ // into the constraint `w - v <= dbm_vw - b/denominator';
+ // forget each constraint `v - w <= dbm_wv'.
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ N& dbm_vi = dbm_v[i];
+ add_assign_r(dbm_vi, dbm_vi, d, ROUND_UP);
+ assign_r(dbm[i][v], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ else {
+ // Here `a == -denominator'.
+ // Translate the constraint `0 - v <= dbm_v0'
+ // into the constraint `0 - v <= dbm_0v - b/denominator'.
+ N& dbm_0v = dbm_0[v];
+ add_assign_r(dbm_v[0], dbm_0v, d, ROUND_UP);
+ // Forget all the other constraints on `v'.
+ assign_r(dbm_0v, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ forget_binary_dbm_constraints(v);
+ }
+ }
+ else {
+ // Here `w != v', so that `expr' is of the form
+ // +/-denominator * w + b, with `w != v'.
+ // Remove all constraints on `v'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ if (a == denominator)
+ // Add the new constraint `v - w >= b/denominator',
+ // i.e., `w - v <= -b/denominator'.
+ add_dbm_constraint(v, w, d);
+ else {
+ // Here a == -denominator, so that we should be adding
+ // the constraint `v >= -w + b/denominator',
+ // i.e., `-v <= w - b/denominator'.
+ // Approximate it by computing an upper bound for `w'.
+ const N& dbm_0w = dbm_0[w];
+ if (!is_plus_infinity(dbm_0w)) {
+ // Add the constraint `-v <= ub_w - b/denominator'.
+ add_assign_r(dbm_v[0], dbm_0w, d, ROUND_UP);
+ // Shortest-path closure is not preserved.
+ reset_shortest_path_closed();
+ }
+ }
+ }
+ break;
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t == 1, expr == a*w + b, but a <> +/- denominator.
+ // We will remove all the constraints on `v' and add back
+ // a constraint providing an upper or a lower bound for `v'
+ // (depending on `relsym').
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -expr;
+ const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, sum);
+ // Index of variable that is unbounded in `this->dbm'.
+ PPL_UNINITIALIZED(dimension_type, pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pinf_count = 0;
+
+ // Speculative allocation of temporaries to be used in the following loops.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ // Compute an upper approximation for `sc_expr' into `sum'.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, sc_b, ROUND_UP);
+ // Approximate the homogeneous part of `sc_expr'.
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ PPL_ASSERT(w != 0);
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const Coefficient& sc_i = *i;
+ const dimension_type i_dim = i.variable().space_dimension();
+ const int sign_i = sgn(sc_i);
+ PPL_ASSERT(sign_i != 0);
+ // Choose carefully: we are approximating `sc_expr'.
+ const N& approx_i = (sign_i > 0) ? dbm_0[i_dim] : dbm[i_dim][0];
+ if (is_plus_infinity(approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = i_dim;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+
+ // Remove all constraints on `v'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ // Return immediately if no approximation could be computed.
+ if (pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v <= sum'.
+ add_dbm_constraint(0, v, sum);
+ // Deduce constraints of the form `v - u', where `u != v'.
+ deduce_v_minus_u_bounds(v, w, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1)
+ if (pinf_index != v && expr.get(Variable(pinf_index - 1)) == denominator)
+ // Add the constraint `v - pinf_index <= sum'.
+ add_dbm_constraint(pinf_index, v, sum);
+ break;
+
+ case GREATER_OR_EQUAL:
+ // Compute an upper approximation for `-sc_expr' into `sum'.
+ // Note: approximating `-sc_expr' from above and then negating the
+ // result is the same as approximating `sc_expr' from below.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, minus_sc_b, ROUND_UP);
+ // Approximate the homogeneous part of `-sc_expr'.
+ for (Linear_Expression::const_iterator i = sc_expr.begin(),
+ i_end = sc_expr.lower_bound(Variable(w)); i != i_end; ++i) {
+ const Coefficient& sc_i = *i;
+ const int sign_i = sgn(sc_i);
+ PPL_ASSERT(sign_i != 0);
+ const dimension_type i_dim = i.variable().space_dimension();
+ // Choose carefully: we are approximating `-sc_expr'.
+ const N& approx_i = (sign_i > 0) ? dbm[i_dim][0] : dbm_0[i_dim];
+ if (is_plus_infinity(approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = i_dim;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+
+ // Remove all constraints on `var'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ // Return immediately if no approximation could be computed.
+ if (pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v >= -sum', i.e., `-v <= sum'.
+ add_dbm_constraint(v, 0, sum);
+ // Deduce constraints of the form `u - v', where `u != v'.
+ deduce_u_minus_v_bounds(v, w, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1)
+ if (pinf_index != v && expr.get(Variable(pinf_index - 1)) == denominator)
+ // Add the constraint `v - pinf_index >= -sum',
+ // i.e., `pinf_index - v <= sum'.
+ add_dbm_constraint(v, pinf_index, sum);
+ break;
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::generalized_affine_image(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ // Dimension-compatibility checks.
+ // The dimension of `lhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type lhs_space_dim = lhs.space_dimension();
+ if (space_dim < lhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e1", lhs);
+
+ // The dimension of `rhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type rhs_space_dim = rhs.space_dimension();
+ if (space_dim < rhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e2", rhs);
+
+ // Strict relation symbols are not admitted for BDSs.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_image(e1, r, e2)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(e1, r, e2)",
+ "r is the disequality relation symbol");
+
+ // The image of an empty BDS is empty.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lhs': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t_lhs = 0;
+ // Index of the last non-zero coefficient in `lhs', if any.
+ dimension_type j_lhs = lhs.last_nonzero();
+
+ if (j_lhs != 0) {
+ ++t_lhs;
+ if (!lhs.all_zeroes(1, j_lhs))
+ ++t_lhs;
+ --j_lhs;
+ }
+
+ const Coefficient& b_lhs = lhs.inhomogeneous_term();
+
+ if (t_lhs == 0) {
+ // `lhs' is a constant.
+ // In principle, it is sufficient to add the constraint `lhs relsym rhs'.
+ // Note that this constraint is a bounded difference if `t_rhs <= 1'
+ // or `t_rhs > 1' and `rhs == a*v - a*w + b_rhs'. If `rhs' is of a
+ // more general form, it will be simply ignored.
+ // TODO: if it is not a bounded difference, should we compute
+ // approximations for this constraint?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+ else if (t_lhs == 1) {
+ // Here `lhs == a_lhs * v + b_lhs'.
+ // Independently from the form of `rhs', we can exploit the
+ // method computing generalized affine images for a single variable.
+ Variable v(j_lhs);
+ // Compute a sign-corrected relation symbol.
+ const Coefficient& denom = lhs.coefficient(v);
+ Relation_Symbol new_relsym = relsym;
+ if (denom < 0) {
+ if (relsym == LESS_OR_EQUAL)
+ new_relsym = GREATER_OR_EQUAL;
+ else if (relsym == GREATER_OR_EQUAL)
+ new_relsym = LESS_OR_EQUAL;
+ }
+ Linear_Expression expr = rhs - b_lhs;
+ generalized_affine_image(v, new_relsym, expr, denom);
+ }
+ else {
+ // Here `lhs' is of the general form, having at least two variables.
+ // Compute the set of variables occurring in `lhs'.
+ std::vector<Variable> lhs_vars;
+ for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
+ i != i_end; ++i)
+ lhs_vars.push_back(i.variable());
+
+ const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
+ if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
+ // `lhs' and `rhs' variables are disjoint.
+ // Existentially quantify all variables in the lhs.
+ for (dimension_type i = lhs_vars.size(); i-- > 0; )
+ forget_all_dbm_constraints(lhs_vars[i].id() + 1);
+ // Constrain the left hand side expression so that it is related to
+ // the right hand side expression as dictated by `relsym'.
+ // TODO: if the following constraint is NOT a bounded difference,
+ // it will be simply ignored. Should we compute approximations for it?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+ else {
+ // Some variables in `lhs' also occur in `rhs'.
+
+#if 1 // Simplified computation (see the TODO note below).
+
+ for (dimension_type i = lhs_vars.size(); i-- > 0; )
+ forget_all_dbm_constraints(lhs_vars[i].id() + 1);
+
+#else // Currently unnecessarily complex computation.
+
+ // More accurate computation that is worth doing only if
+ // the following TODO note is accurately dealt with.
+
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(space_dim);
+ add_space_dimensions_and_embed(1);
+ // Constrain the new dimension to be equal to `rhs'.
+ // NOTE: calling affine_image() instead of refine_no_check()
+ // ensures some approximation is tried even when the constraint
+ // is not a bounded difference.
+ affine_image(new_var, rhs);
+ // Existentially quantify all variables in the lhs.
+ // NOTE: enforce shortest-path closure for precision.
+ shortest_path_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ for (dimension_type i = lhs_vars.size(); i-- > 0; )
+ forget_all_dbm_constraints(lhs_vars[i].id() + 1);
+ // Constrain the new dimension so that it is related to
+ // the left hand side as dictated by `relsym'.
+ // TODO: each one of the following constraints is definitely NOT
+ // a bounded differences (since it has 3 variables at least).
+ // Thus, the method refine_no_check() will simply ignore it.
+ // Should we compute approximations for this constraint?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= new_var);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == new_var);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= new_var);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(space_dim-1);
+#endif // Currently unnecessarily complex computation.
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::generalized_affine_preimage(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
+ "e", expr);
+
+ // `var' should be one of the dimensions of the BDS.
+ const dimension_type v = var.id() + 1;
+ if (v > space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
+ var.id());
+
+ // The relation symbol cannot be a strict relation symbol.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "r is the disequality relation symbol");
+
+ if (relsym == EQUAL) {
+ // The relation symbol is "=":
+ // this is just an affine preimage computation.
+ affine_preimage(var, expr, denominator);
+ return;
+ }
+
+ // The preimage of an empty BDS is empty too.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ // Check whether the preimage of this affine relation can be easily
+ // computed as the image of its inverse relation.
+ const Coefficient& expr_v = expr.coefficient(var);
+ if (expr_v != 0) {
+ const Relation_Symbol reversed_relsym = (relsym == LESS_OR_EQUAL)
+ ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
+ const Linear_Expression inverse
+ = expr - (expr_v + denominator)*var;
+ PPL_DIRTY_TEMP_COEFFICIENT(inverse_denom);
+ neg_assign(inverse_denom, expr_v);
+ const Relation_Symbol inverse_relsym
+ = (sgn(denominator) == sgn(inverse_denom)) ? relsym : reversed_relsym;
+ generalized_affine_image(var, inverse_relsym, inverse, inverse_denom);
+ return;
+ }
+
+ refine(var, relsym, expr, denominator);
+ // If the shrunk BD_Shape is empty, its preimage is empty too; ...
+ if (is_empty())
+ return;
+ // ... otherwise, since the relation was not invertible,
+ // we just forget all constraints on `v'.
+ forget_all_dbm_constraints(v);
+ // Shortest-path closure is preserved, but not reduction.
+ if (marked_shortest_path_reduced())
+ reset_shortest_path_reduced();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::generalized_affine_preimage(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ // Dimension-compatibility checks.
+ // The dimension of `lhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type bds_space_dim = space_dimension();
+ const dimension_type lhs_space_dim = lhs.space_dimension();
+ if (bds_space_dim < lhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
+ "e1", lhs);
+
+ // The dimension of `rhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type rhs_space_dim = rhs.space_dimension();
+ if (bds_space_dim < rhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
+ "e2", rhs);
+
+ // Strict relation symbols are not admitted for BDSs.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
+ "r is the disequality relation symbol");
+
+ // The preimage of an empty BDS is empty.
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lhs': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t_lhs = 0;
+ // Index of the last non-zero coefficient in `lhs', if any.
+ dimension_type j_lhs = lhs.last_nonzero();
+
+ if (j_lhs != 0) {
+ ++t_lhs;
+ if (!lhs.all_zeroes(1, j_lhs))
+ ++t_lhs;
+ --j_lhs;
+ }
+
+ const Coefficient& b_lhs = lhs.inhomogeneous_term();
+
+ if (t_lhs == 0) {
+ // `lhs' is a constant.
+ // In this case, preimage and image happen to be the same.
+ generalized_affine_image(lhs, relsym, rhs);
+ return;
+ }
+ else if (t_lhs == 1) {
+ // Here `lhs == a_lhs * v + b_lhs'.
+ // Independently from the form of `rhs', we can exploit the
+ // method computing generalized affine preimages for a single variable.
+ Variable v(j_lhs);
+ // Compute a sign-corrected relation symbol.
+ const Coefficient& denom = lhs.coefficient(v);
+ Relation_Symbol new_relsym = relsym;
+ if (denom < 0) {
+ if (relsym == LESS_OR_EQUAL)
+ new_relsym = GREATER_OR_EQUAL;
+ else if (relsym == GREATER_OR_EQUAL)
+ new_relsym = LESS_OR_EQUAL;
+ }
+ Linear_Expression expr = rhs - b_lhs;
+ generalized_affine_preimage(v, new_relsym, expr, denom);
+ }
+ else {
+ // Here `lhs' is of the general form, having at least two variables.
+ // Compute the set of variables occurring in `lhs'.
+ std::vector<Variable> lhs_vars;
+ for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
+ i != i_end; ++i)
+ lhs_vars.push_back(i.variable());
+
+ const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
+ if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
+ // `lhs' and `rhs' variables are disjoint.
+
+ // Constrain the left hand side expression so that it is related to
+ // the right hand side expression as dictated by `relsym'.
+ // TODO: if the following constraint is NOT a bounded difference,
+ // it will be simply ignored. Should we compute approximations for it?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ // If the shrunk BD_Shape is empty, its preimage is empty too; ...
+ if (is_empty())
+ return;
+ // Existentially quantify all variables in the lhs.
+ for (dimension_type i = lhs_vars.size(); i-- > 0; )
+ forget_all_dbm_constraints(lhs_vars[i].id() + 1);
+ }
+ else {
+
+ // Some variables in `lhs' also occur in `rhs'.
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(bds_space_dim);
+ add_space_dimensions_and_embed(1);
+ // Constrain the new dimension to be equal to `lhs'.
+ // NOTE: calling affine_image() instead of refine_no_check()
+ // ensures some approximation is tried even when the constraint
+ // is not a bounded difference.
+ affine_image(new_var, lhs);
+ // Existentiallly quantify all variables in the lhs.
+ // NOTE: enforce shortest-path closure for precision.
+ shortest_path_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ for (dimension_type i = lhs_vars.size(); i-- > 0; )
+ forget_all_dbm_constraints(lhs_vars[i].id() + 1);
+ // Constrain the new dimension so that it is related to
+ // the left hand side as dictated by `relsym'.
+ // Note: if `rhs == a_rhs*v + b_rhs' where `a_rhs' is in {0, 1},
+ // then one of the following constraints will be added,
+ // since it is a bounded difference. Else the method
+ // refine_no_check() will ignore it, because the
+ // constraint is NOT a bounded difference.
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(new_var <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(new_var == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(new_var >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(bds_space_dim);
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+Constraint_System
+BD_Shape<T>::constraints() const {
+ const dimension_type space_dim = space_dimension();
+ Constraint_System cs;
+ cs.set_space_dimension(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cs = Constraint_System::zero_dim_empty();
+ return cs;
+ }
+
+ if (marked_empty()) {
+ cs.insert(Constraint::zero_dim_false());
+ return cs;
+ }
+
+ if (marked_shortest_path_reduced()) {
+ // Disregard redundant constraints.
+ cs = minimized_constraints();
+ return cs;
+ }
+
+ PPL_DIRTY_TEMP_COEFFICIENT(a);
+ PPL_DIRTY_TEMP_COEFFICIENT(b);
+ // Go through all the unary constraints in `dbm'.
+ const DB_Row<N>& dbm_0 = dbm[0];
+ for (dimension_type j = 1; j <= space_dim; ++j) {
+ const Variable x(j-1);
+ const N& dbm_0j = dbm_0[j];
+ const N& dbm_j0 = dbm[j][0];
+ if (is_additive_inverse(dbm_j0, dbm_0j)) {
+ // We have a unary equality constraint.
+ numer_denom(dbm_0j, b, a);
+ cs.insert(a*x == b);
+ }
+ else {
+ // We have 0, 1 or 2 unary inequality constraints.
+ if (!is_plus_infinity(dbm_0j)) {
+ numer_denom(dbm_0j, b, a);
+ cs.insert(a*x <= b);
+ }
+ if (!is_plus_infinity(dbm_j0)) {
+ numer_denom(dbm_j0, b, a);
+ cs.insert(-a*x <= b);
+ }
+ }
+ }
+
+ // Go through all the binary constraints in `dbm'.
+ for (dimension_type i = 1; i <= space_dim; ++i) {
+ const Variable y(i-1);
+ const DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = i + 1; j <= space_dim; ++j) {
+ const Variable x(j-1);
+ const N& dbm_ij = dbm_i[j];
+ const N& dbm_ji = dbm[j][i];
+ if (is_additive_inverse(dbm_ji, dbm_ij)) {
+ // We have a binary equality constraint.
+ numer_denom(dbm_ij, b, a);
+ cs.insert(a*x - a*y == b);
+ }
+ else {
+ // We have 0, 1 or 2 binary inequality constraints.
+ if (!is_plus_infinity(dbm_ij)) {
+ numer_denom(dbm_ij, b, a);
+ cs.insert(a*x - a*y <= b);
+ }
+ if (!is_plus_infinity(dbm_ji)) {
+ numer_denom(dbm_ji, b, a);
+ cs.insert(a*y - a*x <= b);
+ }
+ }
+ }
+ }
+ return cs;
+}
+
+template <typename T>
+Constraint_System
+BD_Shape<T>::minimized_constraints() const {
+ shortest_path_reduction_assign();
+ const dimension_type space_dim = space_dimension();
+ Constraint_System cs;
+ cs.set_space_dimension(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cs = Constraint_System::zero_dim_empty();
+ return cs;
+ }
+
+ if (marked_empty()) {
+ cs.insert(Constraint::zero_dim_false());
+ return cs;
+ }
+
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+
+ // Compute leader information.
+ std::vector<dimension_type> leaders;
+ compute_leaders(leaders);
+ std::vector<dimension_type> leader_indices;
+ compute_leader_indices(leaders, leader_indices);
+ const dimension_type num_leaders = leader_indices.size();
+
+ // Go through the non-leaders to generate equality constraints.
+ const DB_Row<N>& dbm_0 = dbm[0];
+ for (dimension_type i = 1; i <= space_dim; ++i) {
+ const dimension_type leader = leaders[i];
+ if (i != leader) {
+ // Generate the constraint relating `i' and its leader.
+ if (leader == 0) {
+ // A unary equality has to be generated.
+ PPL_ASSERT(!is_plus_infinity(dbm_0[i]));
+ numer_denom(dbm_0[i], numer, denom);
+ cs.insert(denom*Variable(i-1) == numer);
+ }
+ else {
+ // A binary equality has to be generated.
+ PPL_ASSERT(!is_plus_infinity(dbm[i][leader]));
+ numer_denom(dbm[i][leader], numer, denom);
+ cs.insert(denom*Variable(leader-1) - denom*Variable(i-1) == numer);
+ }
+ }
+ }
+
+ // Go through the leaders to generate inequality constraints.
+ // First generate all the unary inequalities.
+ const Bit_Row& red_0 = redundancy_dbm[0];
+ for (dimension_type l_i = 1; l_i < num_leaders; ++l_i) {
+ const dimension_type i = leader_indices[l_i];
+ if (!red_0[i]) {
+ numer_denom(dbm_0[i], numer, denom);
+ cs.insert(denom*Variable(i-1) <= numer);
+ }
+ if (!redundancy_dbm[i][0]) {
+ numer_denom(dbm[i][0], numer, denom);
+ cs.insert(-denom*Variable(i-1) <= numer);
+ }
+ }
+ // Then generate all the binary inequalities.
+ for (dimension_type l_i = 1; l_i < num_leaders; ++l_i) {
+ const dimension_type i = leader_indices[l_i];
+ const DB_Row<N>& dbm_i = dbm[i];
+ const Bit_Row& red_i = redundancy_dbm[i];
+ for (dimension_type l_j = l_i + 1; l_j < num_leaders; ++l_j) {
+ const dimension_type j = leader_indices[l_j];
+ if (!red_i[j]) {
+ numer_denom(dbm_i[j], numer, denom);
+ cs.insert(denom*Variable(j-1) - denom*Variable(i-1) <= numer);
+ }
+ if (!redundancy_dbm[j][i]) {
+ numer_denom(dbm[j][i], numer, denom);
+ cs.insert(denom*Variable(i-1) - denom*Variable(j-1) <= numer);
+ }
+ }
+ }
+ return cs;
+}
+
+template <typename T>
+void
+BD_Shape<T>::expand_space_dimension(Variable var, dimension_type m) {
+ dimension_type old_dim = space_dimension();
+ // `var' should be one of the dimensions of the vector space.
+ if (var.space_dimension() > old_dim)
+ throw_dimension_incompatible("expand_space_dimension(v, m)", "v", var);
+
+ // The space dimension of the resulting BDS should not
+ // overflow the maximum allowed space dimension.
+ if (m > max_space_dimension() - space_dimension())
+ throw_invalid_argument("expand_dimension(v, m)",
+ "adding m new space dimensions exceeds "
+ "the maximum allowed space dimension");
+
+ // Nothing to do, if no dimensions must be added.
+ if (m == 0)
+ return;
+
+ // Add the required new dimensions.
+ add_space_dimensions_and_embed(m);
+
+ // For each constraints involving variable `var', we add a
+ // similar constraint with the new variable substituted for
+ // variable `var'.
+ const dimension_type v_id = var.id() + 1;
+ const DB_Row<N>& dbm_v = dbm[v_id];
+ for (dimension_type i = old_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ const N& dbm_i_v = dbm[i][v_id];
+ const N& dbm_v_i = dbm_v[i];
+ for (dimension_type j = old_dim+1; j < old_dim+m+1; ++j) {
+ dbm_i[j] = dbm_i_v;
+ dbm[j][i] = dbm_v_i;
+ }
+ }
+ // In general, adding a constraint does not preserve the shortest-path
+ // closure or reduction of the bounded difference shape.
+ if (marked_shortest_path_closed())
+ reset_shortest_path_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
+ Variable dest) {
+ const dimension_type space_dim = space_dimension();
+ // `dest' should be one of the dimensions of the BDS.
+ if (dest.space_dimension() > space_dim)
+ throw_dimension_incompatible("fold_space_dimensions(vs, v)",
+ "v", dest);
+
+ // The folding of no dimensions is a no-op.
+ if (vars.empty())
+ return;
+
+ // All variables in `vars' should be dimensions of the BDS.
+ if (vars.space_dimension() > space_dim)
+ throw_dimension_incompatible("fold_space_dimensions(vs, v)",
+ vars.space_dimension());
+
+ // Moreover, `dest.id()' should not occur in `vars'.
+ if (vars.find(dest.id()) != vars.end())
+ throw_invalid_argument("fold_space_dimensions(vs, v)",
+ "v should not occur in vs");
+
+ shortest_path_closure_assign();
+ if (!marked_empty()) {
+ // Recompute the elements of the row and the column corresponding
+ // to variable `dest' by taking the join of their value with the
+ // value of the corresponding elements in the row and column of the
+ // variable `vars'.
+ const dimension_type v_id = dest.id() + 1;
+ DB_Row<N>& dbm_v = dbm[v_id];
+ for (Variables_Set::const_iterator i = vars.begin(),
+ vs_end = vars.end(); i != vs_end; ++i) {
+ const dimension_type to_be_folded_id = *i + 1;
+ const DB_Row<N>& dbm_to_be_folded_id = dbm[to_be_folded_id];
+ for (dimension_type j = space_dim + 1; j-- > 0; ) {
+ max_assign(dbm[j][v_id], dbm[j][to_be_folded_id]);
+ max_assign(dbm_v[j], dbm_to_be_folded_id[j]);
+ }
+ }
+ }
+ remove_space_dimensions(vars);
+}
+
+template <typename T>
+void
+BD_Shape<T>::drop_some_non_integer_points(Complexity_Class) {
+ if (std::numeric_limits<T>::is_integer)
+ return;
+
+ const dimension_type space_dim = space_dimension();
+ shortest_path_closure_assign();
+ if (space_dim == 0 || marked_empty())
+ return;
+
+ for (dimension_type i = space_dim + 1; i-- > 0; ) {
+ DB_Row<N>& dbm_i = dbm[i];
+ for (dimension_type j = space_dim + 1; j-- > 0; )
+ if (i != j)
+ drop_some_non_integer_points_helper(dbm_i[j]);
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+BD_Shape<T>::drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class) {
+ // Dimension-compatibility check.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dim < min_space_dim)
+ throw_dimension_incompatible("drop_some_non_integer_points(vs, cmpl)",
+ min_space_dim);
+
+ if (std::numeric_limits<T>::is_integer || min_space_dim == 0)
+ return;
+
+ shortest_path_closure_assign();
+ if (marked_empty())
+ return;
+
+ const Variables_Set::const_iterator v_begin = vars.begin();
+ const Variables_Set::const_iterator v_end = vars.end();
+ PPL_ASSERT(v_begin != v_end);
+ // Unary constraints on a variable occurring in `vars'.
+ DB_Row<N>& dbm_0 = dbm[0];
+ for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
+ const dimension_type i = *v_i + 1;
+ drop_some_non_integer_points_helper(dbm_0[i]);
+ drop_some_non_integer_points_helper(dbm[i][0]);
+ }
+
+ // Binary constraints where both variables occur in `vars'.
+ for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
+ const dimension_type i = *v_i + 1;
+ DB_Row<N>& dbm_i = dbm[i];
+ for (Variables_Set::const_iterator v_j = v_begin; v_j != v_end; ++v_j) {
+ const dimension_type j = *v_j + 1;
+ if (i != j)
+ drop_some_non_integer_points_helper(dbm_i[j]);
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+/*! \relates Parma_Polyhedra_Library::BD_Shape */
+template <typename T>
+std::ostream&
+IO_Operators::operator<<(std::ostream& s, const BD_Shape<T>& bds) {
+ typedef typename BD_Shape<T>::coefficient_type N;
+ if (bds.is_universe())
+ s << "true";
+ else {
+ // We control empty bounded difference shape.
+ dimension_type n = bds.space_dimension();
+ if (bds.marked_empty())
+ s << "false";
+ else {
+ PPL_DIRTY_TEMP(N, v);
+ bool first = true;
+ for (dimension_type i = 0; i <= n; ++i)
+ for (dimension_type j = i + 1; j <= n; ++j) {
+ const N& c_i_j = bds.dbm[i][j];
+ const N& c_j_i = bds.dbm[j][i];
+ if (is_additive_inverse(c_j_i, c_i_j)) {
+ // We will print an equality.
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ if (i == 0) {
+ // We have got a equality constraint with one variable.
+ s << Variable(j - 1);
+ s << " = " << c_i_j;
+ }
+ else {
+ // We have got a equality constraint with two variables.
+ if (sgn(c_i_j) >= 0) {
+ s << Variable(j - 1);
+ s << " - ";
+ s << Variable(i - 1);
+ s << " = " << c_i_j;
+ }
+ else {
+ s << Variable(i - 1);
+ s << " - ";
+ s << Variable(j - 1);
+ s << " = " << c_j_i;
+ }
+ }
+ }
+ else {
+ // We will print a non-strict inequality.
+ if (!is_plus_infinity(c_j_i)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ if (i == 0) {
+ // We have got a constraint with only one variable.
+ s << Variable(j - 1);
+ neg_assign_r(v, c_j_i, ROUND_DOWN);
+ s << " >= " << v;
+ }
+ else {
+ // We have got a constraint with two variables.
+ if (sgn(c_j_i) >= 0) {
+ s << Variable(i - 1);
+ s << " - ";
+ s << Variable(j - 1);
+ s << " <= " << c_j_i;
+ }
+ else {
+ s << Variable(j - 1);
+ s << " - ";
+ s << Variable(i - 1);
+ neg_assign_r(v, c_j_i, ROUND_DOWN);
+ s << " >= " << v;
+ }
+ }
+ }
+ if (!is_plus_infinity(c_i_j)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ if (i == 0) {
+ // We have got a constraint with only one variable.
+ s << Variable(j - 1);
+ s << " <= " << c_i_j;
+ }
+ else {
+ // We have got a constraint with two variables.
+ if (sgn(c_i_j) >= 0) {
+ s << Variable(j - 1);
+ s << " - ";
+ s << Variable(i - 1);
+ s << " <= " << c_i_j;
+ }
+ else {
+ s << Variable(i - 1);
+ s << " - ";
+ s << Variable(j - 1);
+ neg_assign_r(v, c_i_j, ROUND_DOWN);
+ s << " >= " << v;
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ return s;
+}
+
+template <typename T>
+void
+BD_Shape<T>::ascii_dump(std::ostream& s) const {
+ status.ascii_dump(s);
+ s << "\n";
+ dbm.ascii_dump(s);
+ s << "\n";
+ redundancy_dbm.ascii_dump(s);
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, BD_Shape<T>)
+
+template <typename T>
+bool
+BD_Shape<T>::ascii_load(std::istream& s) {
+ if (!status.ascii_load(s))
+ return false;
+ if (!dbm.ascii_load(s))
+ return false;
+ if (!redundancy_dbm.ascii_load(s))
+ return false;
+ return true;
+}
+
+template <typename T>
+memory_size_type
+BD_Shape<T>::external_memory_in_bytes() const {
+ return dbm.external_memory_in_bytes()
+ + redundancy_dbm.external_memory_in_bytes();
+}
+
+template <typename T>
+bool
+BD_Shape<T>::OK() const {
+ // Check whether the difference-bound matrix is well-formed.
+ if (!dbm.OK())
+ return false;
+
+ // Check whether the status information is legal.
+ if (!status.OK())
+ return false;
+
+ // An empty BDS is OK.
+ if (marked_empty())
+ return true;
+
+ // MINUS_INFINITY cannot occur at all.
+ for (dimension_type i = dbm.num_rows(); i-- > 0; )
+ for (dimension_type j = dbm.num_rows(); j-- > 0; )
+ if (is_minus_infinity(dbm[i][j])) {
+#ifndef NDEBUG
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ std::cerr << "BD_Shape::dbm[" << i << "][" << j << "] = "
+ << dbm[i][j] << "!"
+ << std::endl;
+#endif
+ return false;
+ }
+
+ // On the main diagonal only PLUS_INFINITY can occur.
+ for (dimension_type i = dbm.num_rows(); i-- > 0; )
+ if (!is_plus_infinity(dbm[i][i])) {
+#ifndef NDEBUG
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ std::cerr << "BD_Shape::dbm[" << i << "][" << i << "] = "
+ << dbm[i][i] << "! (+inf was expected.)"
+ << std::endl;
+#endif
+ return false;
+ }
+
+ // Check whether the shortest-path closure information is legal.
+ if (marked_shortest_path_closed()) {
+ BD_Shape x = *this;
+ x.reset_shortest_path_closed();
+ x.shortest_path_closure_assign();
+ if (x.dbm != dbm) {
+#ifndef NDEBUG
+ std::cerr << "BD_Shape is marked as closed but it is not!"
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+
+ // The following tests might result in false alarms when using floating
+ // point coefficients: they are only meaningful if the coefficient type
+ // base is exact (since otherwise shortest-path closure is approximated).
+ if (std::numeric_limits<coefficient_type_base>::is_exact) {
+
+ // Check whether the shortest-path reduction information is legal.
+ if (marked_shortest_path_reduced()) {
+ // A non-redundant constraint cannot be equal to PLUS_INFINITY.
+ for (dimension_type i = dbm.num_rows(); i-- > 0; )
+ for (dimension_type j = dbm.num_rows(); j-- > 0; )
+ if (!redundancy_dbm[i][j] && is_plus_infinity(dbm[i][j])) {
+#ifndef NDEBUG
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ std::cerr << "BD_Shape::dbm[" << i << "][" << j << "] = "
+ << dbm[i][j] << " is marked as non-redundant!"
+ << std::endl;
+#endif
+ return false;
+ }
+
+ BD_Shape x = *this;
+ x.reset_shortest_path_reduced();
+ x.shortest_path_reduction_assign();
+ if (x.redundancy_dbm != redundancy_dbm) {
+#ifndef NDEBUG
+ std::cerr << "BD_Shape is marked as reduced but it is not!"
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+ }
+
+ // All checks passed.
+ return true;
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ const BD_Shape& y) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", y->space_dimension() == " << y.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ dimension_type required_dim) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", required dimension == " << required_dim << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ const Constraint& c) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", c->space_dimension == " << c.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ const Congruence& cg) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", cg->space_dimension == " << cg.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ const Generator& g) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", g->space_dimension == " << g.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_expression_too_complex(const char* method,
+ const Linear_Expression& le) {
+ using namespace IO_Operators;
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << le << " is too complex.";
+ throw std::invalid_argument(s.str());
+}
+
+
+template <typename T>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", " << le_name << "->space_dimension() == "
+ << le.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+template<typename Interval_Info>
+void
+BD_Shape<T>::throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form< Interval<T,
+ Interval_Info> >& lf) const {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", " << lf_name << "->space_dimension() == "
+ << lf.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+BD_Shape<T>::throw_invalid_argument(const char* method, const char* reason) {
+ std::ostringstream s;
+ s << "PPL::BD_Shape::" << method << ":" << std::endl
+ << reason << ".";
+ throw std::invalid_argument(s.str());
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_BD_Shape_templates_hh)
diff --git a/src/BD_Shape_types.hh b/src/BD_Shape_types.hh
new file mode 100644
index 0000000..5209605
--- /dev/null
+++ b/src/BD_Shape_types.hh
@@ -0,0 +1,25 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_BD_Shape_types_hh
+#define PPL_BD_Shape_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class BD_Shape;
+
+class BD_Shape_Helpers;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_BD_Shape_types_hh)
diff --git a/src/BHRZ03_Certificate.cc b/src/BHRZ03_Certificate.cc
index 8bfc3c8..b640ff7 100644
--- a/src/BHRZ03_Certificate.cc
+++ b/src/BHRZ03_Certificate.cc
@@ -1,6 +1,6 @@
/* BHRZ03_Certificate class implementation (non-inline member functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "BHRZ03_Certificate.defs.hh"
-#include "Polyhedron.defs.hh"
+#include "BHRZ03_Certificate_defs.hh"
+#include "Polyhedron_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -51,7 +51,7 @@ PPL::BHRZ03_Certificate::BHRZ03_Certificate(const Polyhedron& ph)
PPL_ASSERT(num_constraints == 0);
const Constraint_System& cs = ph.minimized_constraints();
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
++num_constraints;
if (i->is_equality())
--affine_dim;
@@ -61,7 +61,7 @@ PPL::BHRZ03_Certificate::BHRZ03_Certificate(const Polyhedron& ph)
PPL_ASSERT(num_points == 0);
const Generator_System& gs = ph.minimized_generators();
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
switch (i->type()) {
case Generator::POINT:
// Intentionally fall through.
@@ -140,7 +140,7 @@ PPL::BHRZ03_Certificate::compare(const Polyhedron& ph) const {
dimension_type ph_num_constraints = 0;
const Constraint_System& cs = ph.minimized_constraints();
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
++ph_num_constraints;
if (i->is_equality())
--ph_affine_dim;
@@ -169,7 +169,7 @@ PPL::BHRZ03_Certificate::compare(const Polyhedron& ph) const {
dimension_type ph_num_points = 0;
const Generator_System& gs = ph.minimized_generators();
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
switch (i->type()) {
case Generator::POINT:
// Intentionally fall through.
@@ -219,7 +219,7 @@ PPL::BHRZ03_Certificate::compare(const Polyhedron& ph) const {
// compute information about rays.
std::vector<dimension_type> ph_num_rays_null_coord(ph.space_dim, 0);
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
if (i->is_ray())
++ph_num_rays_null_coord[i->expression().num_zeroes(1, space_dim + 1)];
@@ -246,9 +246,9 @@ PPL::BHRZ03_Certificate::OK() const {
if (affine_dim > space_dim) {
#ifndef NDEBUG
cerr << "In the BHRZ03 certificate about a non-empty polyhedron:"
- << endl
- << "the affine dimension is greater than the space dimension!"
- << endl;
+ << endl
+ << "the affine dimension is greater than the space dimension!"
+ << endl;
#endif
return false;
}
@@ -256,10 +256,10 @@ PPL::BHRZ03_Certificate::OK() const {
if (lin_space_dim > affine_dim) {
#ifndef NDEBUG
cerr << "In the BHRZ03 certificate about a non-empty polyhedron:"
- << endl
- << "the lineality space dimension is greater than "
- << "the affine dimension!"
- << endl;
+ << endl
+ << "the lineality space dimension is greater than "
+ << "the affine dimension!"
+ << endl;
#endif
return false;
}
@@ -267,15 +267,15 @@ PPL::BHRZ03_Certificate::OK() const {
if (num_constraints < space_dim - affine_dim) {
#ifndef NDEBUG
cerr << "In the BHRZ03 certificate about a non-empty polyhedron:"
- << endl
- << "in a vector space of dimension `n',"
- << "any polyhedron of affine dimension `k'" << endl
- << "should have `n-k' non-redundant constraints at least."
- << endl
- << "Here space_dim = " << space_dim << ", "
- << "affine_dim = " << affine_dim << ", "
- << "but num_constraints = " << num_constraints << "!"
- << endl;
+ << endl
+ << "in a vector space of dimension `n',"
+ << "any polyhedron of affine dimension `k'" << endl
+ << "should have `n-k' non-redundant constraints at least."
+ << endl
+ << "Here space_dim = " << space_dim << ", "
+ << "affine_dim = " << affine_dim << ", "
+ << "but num_constraints = " << num_constraints << "!"
+ << endl;
#endif
return false;
}
@@ -283,9 +283,9 @@ PPL::BHRZ03_Certificate::OK() const {
if (num_points == 0) {
#ifndef NDEBUG
cerr << "In the BHRZ03 certificate about a non-empty polyhedron:"
- << endl
- << "the generator system has no points!"
- << endl;
+ << endl
+ << "the generator system has no points!"
+ << endl;
#endif
return false;
}
@@ -295,9 +295,9 @@ PPL::BHRZ03_Certificate::OK() const {
if (num_constraints > 0) {
#ifndef NDEBUG
cerr << "In the BHRZ03 certificate about a non-empty polyhedron:"
- << endl
- << "a universe polyhedron has non-redundant constraints!"
- << endl;
+ << endl
+ << "a universe polyhedron has non-redundant constraints!"
+ << endl;
#endif
return false;
}
@@ -305,9 +305,9 @@ PPL::BHRZ03_Certificate::OK() const {
if (num_points != 1) {
#ifndef NDEBUG
cerr << "In the BHRZ03 certificate about a non-empty polyhedron:"
- << endl
- << "a universe polyhedron has more than one non-redundant point!"
- << endl;
+ << endl
+ << "a universe polyhedron has more than one non-redundant point!"
+ << endl;
#endif
return false;
}
diff --git a/src/BHRZ03_Certificate.defs.hh b/src/BHRZ03_Certificate.defs.hh
deleted file mode 100644
index 3378dd2..0000000
--- a/src/BHRZ03_Certificate.defs.hh
+++ /dev/null
@@ -1,118 +0,0 @@
-/* BHRZ03_Certificate class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BHRZ03_Certificate_defs_hh
-#define PPL_BHRZ03_Certificate_defs_hh 1
-
-#include "BHRZ03_Certificate.types.hh"
-#include "Polyhedron.types.hh"
-#include "globals.defs.hh"
-#include "assert.hh"
-#include <vector>
-
-//! The convergence certificate for the BHRZ03 widening operator.
-/*! \ingroup PPL_CXX_interface
- Convergence certificates are used to instantiate the BHZ03 framework
- so as to define widening operators for the finite powerset domain.
-
- \note
- Each convergence certificate has to be used together with a
- compatible widening operator. In particular, BHRZ03_Certificate
- can certify the convergence of both the BHRZ03 and the H79 widenings.
-*/
-class Parma_Polyhedra_Library::BHRZ03_Certificate {
-public:
- //! Default constructor.
- BHRZ03_Certificate();
-
- //! Constructor: computes the certificate for \p ph.
- BHRZ03_Certificate(const Polyhedron& ph);
-
- //! Copy constructor.
- BHRZ03_Certificate(const BHRZ03_Certificate& y);
-
- //! Destructor.
- ~BHRZ03_Certificate();
-
- //! The comparison function for certificates.
- /*!
- \return
- \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
- is smaller than, equal to, or greater than \p y, respectively.
-
- Compares \p *this with \p y, using a total ordering which is a
- refinement of the limited growth ordering relation for the
- BHRZ03 widening.
- */
- int compare(const BHRZ03_Certificate& y) const;
-
- //! Compares \p *this with the certificate for polyhedron \p ph.
- int compare(const Polyhedron& ph) const;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Returns <CODE>true</CODE> if and only if the certificate for
- polyhedron \p ph is strictly smaller than \p *this.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool is_stabilizing(const Polyhedron& ph) const;
-
- //! A total ordering on BHRZ03 certificates.
- /*! \ingroup PPL_CXX_interface
- This binary predicate defines a total ordering on BHRZ03 certificates
- which is used when storing information about sets of polyhedra.
- */
- struct Compare {
- //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
- bool operator()(const BHRZ03_Certificate& x,
- const BHRZ03_Certificate& y) const;
- };
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Check if gathered information is meaningful.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool OK() const;
-
-private:
- //! Affine dimension of the polyhedron.
- dimension_type affine_dim;
- //! Dimension of the lineality space of the polyhedron.
- dimension_type lin_space_dim;
- //! Cardinality of a non-redundant constraint system for the polyhedron.
- dimension_type num_constraints;
- /*! \brief
- Number of non-redundant points in a generator system
- for the polyhedron.
- */
- dimension_type num_points;
- /*! \brief
- A vector containing, for each index `0 <= i < space_dim',
- the number of non-redundant rays in a generator system of the
- polyhedron having exactly `i' null coordinates.
- */
- std::vector<dimension_type> num_rays_null_coord;
-};
-
-#include "BHRZ03_Certificate.inlines.hh"
-
-#endif // !defined(PPL_BHRZ03_Certificate_defs_hh)
diff --git a/src/BHRZ03_Certificate.inlines.hh b/src/BHRZ03_Certificate.inlines.hh
deleted file mode 100644
index 0087bec..0000000
--- a/src/BHRZ03_Certificate.inlines.hh
+++ /dev/null
@@ -1,63 +0,0 @@
-/* BHRZ03_Certificate class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_BHRZ03_Certificate_inlines_hh
-#define PPL_BHRZ03_Certificate_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-BHRZ03_Certificate::BHRZ03_Certificate()
- : affine_dim(0), lin_space_dim(0), num_constraints(0), num_points(1),
- num_rays_null_coord() {
- // This is the certificate for a zero-dim universe polyhedron.
- PPL_ASSERT(OK());
-}
-
-inline
-BHRZ03_Certificate::BHRZ03_Certificate(const BHRZ03_Certificate& y)
- : affine_dim(y.affine_dim), lin_space_dim(y.lin_space_dim),
- num_constraints(y.num_constraints), num_points(y.num_points),
- num_rays_null_coord(y.num_rays_null_coord) {
-}
-
-inline
-BHRZ03_Certificate::~BHRZ03_Certificate() {
-}
-
-inline bool
-BHRZ03_Certificate::is_stabilizing(const Polyhedron& ph) const {
- return compare(ph) == 1;
-}
-
-inline bool
-BHRZ03_Certificate::Compare::operator()(const BHRZ03_Certificate& x,
- const BHRZ03_Certificate& y) const {
- // For an efficient evaluation of the multiset ordering based
- // on this LGO relation, we want larger elements to come first.
- return x.compare(y) == 1;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_BHRZ03_Certificate_inlines_hh)
diff --git a/src/BHRZ03_Certificate.types.hh b/src/BHRZ03_Certificate.types.hh
deleted file mode 100644
index fd2b31d..0000000
--- a/src/BHRZ03_Certificate.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_BHRZ03_Certificate_types_hh
-#define PPL_BHRZ03_Certificate_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class BHRZ03_Certificate;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_BHRZ03_Certificate_types_hh)
diff --git a/src/BHRZ03_Certificate_defs.hh b/src/BHRZ03_Certificate_defs.hh
new file mode 100644
index 0000000..433f5d6
--- /dev/null
+++ b/src/BHRZ03_Certificate_defs.hh
@@ -0,0 +1,118 @@
+/* BHRZ03_Certificate class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BHRZ03_Certificate_defs_hh
+#define PPL_BHRZ03_Certificate_defs_hh 1
+
+#include "BHRZ03_Certificate_types.hh"
+#include "Polyhedron_types.hh"
+#include "globals_defs.hh"
+#include "assert.hh"
+#include <vector>
+
+//! The convergence certificate for the BHRZ03 widening operator.
+/*! \ingroup PPL_CXX_interface
+ Convergence certificates are used to instantiate the BHZ03 framework
+ so as to define widening operators for the finite powerset domain.
+
+ \note
+ Each convergence certificate has to be used together with a
+ compatible widening operator. In particular, BHRZ03_Certificate
+ can certify the convergence of both the BHRZ03 and the H79 widenings.
+*/
+class Parma_Polyhedra_Library::BHRZ03_Certificate {
+public:
+ //! Default constructor.
+ BHRZ03_Certificate();
+
+ //! Constructor: computes the certificate for \p ph.
+ BHRZ03_Certificate(const Polyhedron& ph);
+
+ //! Copy constructor.
+ BHRZ03_Certificate(const BHRZ03_Certificate& y);
+
+ //! Destructor.
+ ~BHRZ03_Certificate();
+
+ //! The comparison function for certificates.
+ /*!
+ \return
+ \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
+ is smaller than, equal to, or greater than \p y, respectively.
+
+ Compares \p *this with \p y, using a total ordering which is a
+ refinement of the limited growth ordering relation for the
+ BHRZ03 widening.
+ */
+ int compare(const BHRZ03_Certificate& y) const;
+
+ //! Compares \p *this with the certificate for polyhedron \p ph.
+ int compare(const Polyhedron& ph) const;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the certificate for
+ polyhedron \p ph is strictly smaller than \p *this.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool is_stabilizing(const Polyhedron& ph) const;
+
+ //! A total ordering on BHRZ03 certificates.
+ /*! \ingroup PPL_CXX_interface
+ This binary predicate defines a total ordering on BHRZ03 certificates
+ which is used when storing information about sets of polyhedra.
+ */
+ struct Compare {
+ //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
+ bool operator()(const BHRZ03_Certificate& x,
+ const BHRZ03_Certificate& y) const;
+ };
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Check if gathered information is meaningful.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool OK() const;
+
+private:
+ //! Affine dimension of the polyhedron.
+ dimension_type affine_dim;
+ //! Dimension of the lineality space of the polyhedron.
+ dimension_type lin_space_dim;
+ //! Cardinality of a non-redundant constraint system for the polyhedron.
+ dimension_type num_constraints;
+ /*! \brief
+ Number of non-redundant points in a generator system
+ for the polyhedron.
+ */
+ dimension_type num_points;
+ /*! \brief
+ A vector containing, for each index `0 <= i < space_dim',
+ the number of non-redundant rays in a generator system of the
+ polyhedron having exactly `i' null coordinates.
+ */
+ std::vector<dimension_type> num_rays_null_coord;
+};
+
+#include "BHRZ03_Certificate_inlines.hh"
+
+#endif // !defined(PPL_BHRZ03_Certificate_defs_hh)
diff --git a/src/BHRZ03_Certificate_inlines.hh b/src/BHRZ03_Certificate_inlines.hh
new file mode 100644
index 0000000..6d17f7e
--- /dev/null
+++ b/src/BHRZ03_Certificate_inlines.hh
@@ -0,0 +1,63 @@
+/* BHRZ03_Certificate class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_BHRZ03_Certificate_inlines_hh
+#define PPL_BHRZ03_Certificate_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+BHRZ03_Certificate::BHRZ03_Certificate()
+ : affine_dim(0), lin_space_dim(0), num_constraints(0), num_points(1),
+ num_rays_null_coord() {
+ // This is the certificate for a zero-dim universe polyhedron.
+ PPL_ASSERT(OK());
+}
+
+inline
+BHRZ03_Certificate::BHRZ03_Certificate(const BHRZ03_Certificate& y)
+ : affine_dim(y.affine_dim), lin_space_dim(y.lin_space_dim),
+ num_constraints(y.num_constraints), num_points(y.num_points),
+ num_rays_null_coord(y.num_rays_null_coord) {
+}
+
+inline
+BHRZ03_Certificate::~BHRZ03_Certificate() {
+}
+
+inline bool
+BHRZ03_Certificate::is_stabilizing(const Polyhedron& ph) const {
+ return compare(ph) == 1;
+}
+
+inline bool
+BHRZ03_Certificate::Compare::operator()(const BHRZ03_Certificate& x,
+ const BHRZ03_Certificate& y) const {
+ // For an efficient evaluation of the multiset ordering based
+ // on this LGO relation, we want larger elements to come first.
+ return x.compare(y) == 1;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_BHRZ03_Certificate_inlines_hh)
diff --git a/src/BHRZ03_Certificate_types.hh b/src/BHRZ03_Certificate_types.hh
new file mode 100644
index 0000000..f025348
--- /dev/null
+++ b/src/BHRZ03_Certificate_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_BHRZ03_Certificate_types_hh
+#define PPL_BHRZ03_Certificate_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class BHRZ03_Certificate;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_BHRZ03_Certificate_types_hh)
diff --git a/src/Bit_Matrix.cc b/src/Bit_Matrix.cc
index 2309436..85eedf0 100644
--- a/src/Bit_Matrix.cc
+++ b/src/Bit_Matrix.cc
@@ -1,6 +1,6 @@
/* Bit_Matrix class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,10 +22,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Bit_Matrix.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "globals.defs.hh"
-#include "swapping_sort.templates.hh"
+#include "Bit_Matrix_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "globals_defs.hh"
+#include "swapping_sort_templates.hh"
#include "C_Integer.hh"
#include <iostream>
#include <string>
@@ -124,7 +124,7 @@ PPL::Bit_Matrix::transpose_assign(const Bit_Matrix& y) {
void
PPL::Bit_Matrix::resize(dimension_type new_n_rows,
- dimension_type new_n_columns) {
+ dimension_type new_n_columns) {
PPL_ASSERT(OK());
const dimension_type old_num_rows = num_rows();
if (new_n_columns < row_size) {
@@ -143,7 +143,7 @@ PPL::Bit_Matrix::resize(dimension_type new_n_rows,
new_rows.insert(new_rows.end(), new_n_rows, Bit_Row());
// Steal the old rows.
for (dimension_type i = old_num_rows; i-- > 0; )
- new_rows[i].m_swap(rows[i]);
+ new_rows[i].m_swap(rows[i]);
// Put the new vector into place.
using std::swap;
swap(rows, new_rows);
@@ -192,11 +192,11 @@ PPL::Bit_Matrix::ascii_load(std::istream& s) {
for (dimension_type j = 0; j < num_columns(); ++j) {
int bit;
if (!(s >> bit))
- return false;
+ return false;
if (bit != 0)
- x[i].set(j);
+ x[i].set(j);
else
- x[i].clear(j);
+ x[i].clear(j);
}
// Check invariants.
@@ -228,10 +228,10 @@ PPL::Bit_Matrix::OK() const {
&& row.last() >= row_size) {
#ifndef NDEBUG
cerr << "Bit_Matrix[" << i << "] is a row with too many bits!"
- << endl
- << "(row_size == " << row_size
- << ", row.last() == " << row.last() << ")"
- << endl;
+ << endl
+ << "(row_size == " << row_size
+ << ", row.last() == " << row.last() << ")"
+ << endl;
#endif
return false;
}
diff --git a/src/Bit_Matrix.defs.hh b/src/Bit_Matrix.defs.hh
deleted file mode 100644
index 419efbd..0000000
--- a/src/Bit_Matrix.defs.hh
+++ /dev/null
@@ -1,187 +0,0 @@
-/* Bit_Matrix class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Bit_Matrix_defs_hh
-#define PPL_Bit_Matrix_defs_hh 1
-
-#include "Bit_Matrix.types.hh"
-#include "Linear_System.types.hh"
-#include "Bit_Row.defs.hh"
-#include <vector>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates Bit_Matrix */
-void swap(Bit_Matrix& x, Bit_Matrix& y);
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-} // namespace Parma_Polyhedra_Library
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A matrix of bits.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Bit_Matrix {
-public:
- //! Default constructor.
- Bit_Matrix();
-
- //! Construct a bit matrix with \p n_rows rows and \p n_columns columns.
- Bit_Matrix(dimension_type n_rows, dimension_type n_columns);
-
- //! Copy constructor.
- Bit_Matrix(const Bit_Matrix& y);
-
- //! Destructor.
- ~Bit_Matrix();
-
- //! Assignment operator.
- Bit_Matrix& operator=(const Bit_Matrix& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Bit_Matrix& y);
-
- //! Subscript operator.
- Bit_Row& operator[](dimension_type k);
-
- //! Constant subscript operator.
- const Bit_Row& operator[](dimension_type k) const;
-
- //! Clears the matrix deallocating all its rows.
- void clear();
-
- //! Transposes the matrix.
- void transpose();
-
- //! Makes \p *this a transposed copy of \p y.
- void transpose_assign(const Bit_Matrix& y);
-
- //! Returns the maximum number of rows of a Bit_Matrix.
- static dimension_type max_num_rows();
-
- //! Returns the number of columns of \p *this.
- dimension_type num_columns() const;
-
- //! Returns the number of rows of \p *this.
- dimension_type num_rows() const;
-
- //! Sorts the rows and removes duplicates.
- void sort_rows();
-
- //! Looks for \p row in \p *this, which is assumed to be sorted.
- /*!
- \return
- <CODE>true</CODE> if \p row belongs to \p *this, false otherwise.
-
- \param row
- The row that will be searched for in the matrix.
-
- Given a sorted bit matrix (this ensures better efficiency),
- tells whether it contains the given row.
- */
- bool sorted_contains(const Bit_Row& row) const;
-
- //! Adds \p row to \p *this.
- /*!
- \param row
- The row whose implementation will be recycled.
-
- The only thing that can be done with \p row upon return is destruction.
- */
- void add_recycled_row(Bit_Row& row);
-
- //! Removes the last \p n rows.
- void remove_trailing_rows(dimension_type n);
-
- //! Removes the last \p n columns.
- /*!
- The last \p n columns of the matrix are all made of zeros.
- If such an assumption is not met, the behavior is undefined.
- */
- void remove_trailing_columns(dimension_type n);
-
- //! Resizes the matrix copying the old contents.
- void resize(dimension_type new_n_rows, dimension_type new_n_columns);
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
-#ifndef NDEBUG
- //! Checks whether \p *this is sorted. It does NOT check for duplicates.
- bool check_sorted() const;
-#endif
-
-private:
- //! Contains the rows of the matrix.
- std::vector<Bit_Row> rows;
-
- //! Size of the initialized part of each row.
- dimension_type row_size;
-
- //! Ordering predicate (used when implementing the sort algorithm).
- /*! \ingroup PPL_CXX_interface */
- struct Bit_Row_Less_Than {
- bool operator()(const Bit_Row& x, const Bit_Row& y) const;
- };
-
- template <typename Row>
- friend class Parma_Polyhedra_Library::Linear_System;
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-/*! \relates Bit_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator==(const Bit_Matrix& x, const Bit_Matrix& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are not equal.
-/*! \relates Bit_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator!=(const Bit_Matrix& x, const Bit_Matrix& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Bit_Matrix.inlines.hh"
-
-#endif // !defined(PPL_Bit_Matrix_defs_hh)
diff --git a/src/Bit_Matrix.inlines.hh b/src/Bit_Matrix.inlines.hh
deleted file mode 100644
index 39f614f..0000000
--- a/src/Bit_Matrix.inlines.hh
+++ /dev/null
@@ -1,149 +0,0 @@
-/* Bit_Matrix class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Bit_Matrix_inlines_hh
-#define PPL_Bit_Matrix_inlines_hh 1
-
-#include <algorithm>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Bit_Matrix::Bit_Matrix()
- : rows(),
- row_size(0) {
-}
-
-inline dimension_type
-Bit_Matrix::max_num_rows() {
- return std::vector<Bit_Row>().max_size();
-}
-
-inline
-Bit_Matrix::Bit_Matrix(const dimension_type n_rows,
- const dimension_type n_columns)
- : rows(n_rows),
- row_size(n_columns) {
-}
-
-inline
-Bit_Matrix::Bit_Matrix(const Bit_Matrix& y)
- : rows(y.rows),
- row_size(y.row_size) {
-}
-
-inline
-Bit_Matrix::~Bit_Matrix() {
-}
-
-inline void
-Bit_Matrix::remove_trailing_rows(const dimension_type n) {
- // The number of rows to be erased cannot be greater
- // than the actual number of the rows of the matrix.
- PPL_ASSERT(n <= rows.size());
- if (n != 0)
- rows.resize(rows.size() - n);
- PPL_ASSERT(OK());
-}
-
-inline void
-Bit_Matrix::remove_trailing_columns(const dimension_type n) {
- // The number of columns to be erased cannot be greater
- // than the actual number of the columns of the matrix.
- PPL_ASSERT(n <= row_size);
- row_size -= n;
- PPL_ASSERT(OK());
-}
-
-inline void
-Bit_Matrix::m_swap(Bit_Matrix& y) {
- using std::swap;
- swap(row_size, y.row_size);
- swap(rows, y.rows);
-}
-
-inline Bit_Row&
-Bit_Matrix::operator[](const dimension_type k) {
- PPL_ASSERT(k < rows.size());
- return rows[k];
-}
-
-inline const Bit_Row&
-Bit_Matrix::operator[](const dimension_type k) const {
- PPL_ASSERT(k < rows.size());
- return rows[k];
-}
-
-inline dimension_type
-Bit_Matrix::num_columns() const {
- return row_size;
-}
-
-inline dimension_type
-Bit_Matrix::num_rows() const {
- return rows.size();
-}
-
-inline void
-Bit_Matrix::clear() {
- // Clear `rows' and minimize its capacity.
- std::vector<Bit_Row> tmp;
- using std::swap;
- swap(tmp, rows);
- row_size = 0;
-}
-
-inline memory_size_type
-Bit_Matrix::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline bool
-Bit_Matrix::Bit_Row_Less_Than::
-operator()(const Bit_Row& x, const Bit_Row& y) const {
- return compare(x, y) < 0;
-}
-
-inline bool
-Bit_Matrix::sorted_contains(const Bit_Row& row) const {
- PPL_ASSERT(check_sorted());
- return std::binary_search(rows.begin(), rows.end(), row,
- Bit_Row_Less_Than());
-}
-
-/*! \relates Bit_Matrix */
-inline bool
-operator!=(const Bit_Matrix& x, const Bit_Matrix& y) {
- return !(x == y);
-}
-
-/*! \relates Bit_Matrix */
-inline void
-swap(Bit_Matrix& x, Bit_Matrix& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Bit_Matrix_inlines_hh)
diff --git a/src/Bit_Matrix.types.hh b/src/Bit_Matrix.types.hh
deleted file mode 100644
index 9186e8f..0000000
--- a/src/Bit_Matrix.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Bit_Matrix_types_hh
-#define PPL_Bit_Matrix_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Bit_Matrix;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Bit_Matrix_types_hh)
diff --git a/src/Bit_Matrix_defs.hh b/src/Bit_Matrix_defs.hh
new file mode 100644
index 0000000..d2b67ee
--- /dev/null
+++ b/src/Bit_Matrix_defs.hh
@@ -0,0 +1,187 @@
+/* Bit_Matrix class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Bit_Matrix_defs_hh
+#define PPL_Bit_Matrix_defs_hh 1
+
+#include "Bit_Matrix_types.hh"
+#include "Linear_System_types.hh"
+#include "Bit_Row_defs.hh"
+#include <vector>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates Bit_Matrix */
+void swap(Bit_Matrix& x, Bit_Matrix& y);
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+} // namespace Parma_Polyhedra_Library
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A matrix of bits.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Bit_Matrix {
+public:
+ //! Default constructor.
+ Bit_Matrix();
+
+ //! Construct a bit matrix with \p n_rows rows and \p n_columns columns.
+ Bit_Matrix(dimension_type n_rows, dimension_type n_columns);
+
+ //! Copy constructor.
+ Bit_Matrix(const Bit_Matrix& y);
+
+ //! Destructor.
+ ~Bit_Matrix();
+
+ //! Assignment operator.
+ Bit_Matrix& operator=(const Bit_Matrix& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Bit_Matrix& y);
+
+ //! Subscript operator.
+ Bit_Row& operator[](dimension_type k);
+
+ //! Constant subscript operator.
+ const Bit_Row& operator[](dimension_type k) const;
+
+ //! Clears the matrix deallocating all its rows.
+ void clear();
+
+ //! Transposes the matrix.
+ void transpose();
+
+ //! Makes \p *this a transposed copy of \p y.
+ void transpose_assign(const Bit_Matrix& y);
+
+ //! Returns the maximum number of rows of a Bit_Matrix.
+ static dimension_type max_num_rows();
+
+ //! Returns the number of columns of \p *this.
+ dimension_type num_columns() const;
+
+ //! Returns the number of rows of \p *this.
+ dimension_type num_rows() const;
+
+ //! Sorts the rows and removes duplicates.
+ void sort_rows();
+
+ //! Looks for \p row in \p *this, which is assumed to be sorted.
+ /*!
+ \return
+ <CODE>true</CODE> if \p row belongs to \p *this, false otherwise.
+
+ \param row
+ The row that will be searched for in the matrix.
+
+ Given a sorted bit matrix (this ensures better efficiency),
+ tells whether it contains the given row.
+ */
+ bool sorted_contains(const Bit_Row& row) const;
+
+ //! Adds \p row to \p *this.
+ /*!
+ \param row
+ The row whose implementation will be recycled.
+
+ The only thing that can be done with \p row upon return is destruction.
+ */
+ void add_recycled_row(Bit_Row& row);
+
+ //! Removes the last \p n rows.
+ void remove_trailing_rows(dimension_type n);
+
+ //! Removes the last \p n columns.
+ /*!
+ The last \p n columns of the matrix are all made of zeros.
+ If such an assumption is not met, the behavior is undefined.
+ */
+ void remove_trailing_columns(dimension_type n);
+
+ //! Resizes the matrix copying the old contents.
+ void resize(dimension_type new_n_rows, dimension_type new_n_columns);
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+#ifndef NDEBUG
+ //! Checks whether \p *this is sorted. It does NOT check for duplicates.
+ bool check_sorted() const;
+#endif
+
+private:
+ //! Contains the rows of the matrix.
+ std::vector<Bit_Row> rows;
+
+ //! Size of the initialized part of each row.
+ dimension_type row_size;
+
+ //! Ordering predicate (used when implementing the sort algorithm).
+ /*! \ingroup PPL_CXX_interface */
+ struct Bit_Row_Less_Than {
+ bool operator()(const Bit_Row& x, const Bit_Row& y) const;
+ };
+
+ template <typename Row>
+ friend class Parma_Polyhedra_Library::Linear_System;
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+/*! \relates Bit_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator==(const Bit_Matrix& x, const Bit_Matrix& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are not equal.
+/*! \relates Bit_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator!=(const Bit_Matrix& x, const Bit_Matrix& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Bit_Matrix_inlines.hh"
+
+#endif // !defined(PPL_Bit_Matrix_defs_hh)
diff --git a/src/Bit_Matrix_inlines.hh b/src/Bit_Matrix_inlines.hh
new file mode 100644
index 0000000..a5e2f96
--- /dev/null
+++ b/src/Bit_Matrix_inlines.hh
@@ -0,0 +1,149 @@
+/* Bit_Matrix class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Bit_Matrix_inlines_hh
+#define PPL_Bit_Matrix_inlines_hh 1
+
+#include <algorithm>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Bit_Matrix::Bit_Matrix()
+ : rows(),
+ row_size(0) {
+}
+
+inline dimension_type
+Bit_Matrix::max_num_rows() {
+ return std::vector<Bit_Row>().max_size();
+}
+
+inline
+Bit_Matrix::Bit_Matrix(const dimension_type n_rows,
+ const dimension_type n_columns)
+ : rows(n_rows),
+ row_size(n_columns) {
+}
+
+inline
+Bit_Matrix::Bit_Matrix(const Bit_Matrix& y)
+ : rows(y.rows),
+ row_size(y.row_size) {
+}
+
+inline
+Bit_Matrix::~Bit_Matrix() {
+}
+
+inline void
+Bit_Matrix::remove_trailing_rows(const dimension_type n) {
+ // The number of rows to be erased cannot be greater
+ // than the actual number of the rows of the matrix.
+ PPL_ASSERT(n <= rows.size());
+ if (n != 0)
+ rows.resize(rows.size() - n);
+ PPL_ASSERT(OK());
+}
+
+inline void
+Bit_Matrix::remove_trailing_columns(const dimension_type n) {
+ // The number of columns to be erased cannot be greater
+ // than the actual number of the columns of the matrix.
+ PPL_ASSERT(n <= row_size);
+ row_size -= n;
+ PPL_ASSERT(OK());
+}
+
+inline void
+Bit_Matrix::m_swap(Bit_Matrix& y) {
+ using std::swap;
+ swap(row_size, y.row_size);
+ swap(rows, y.rows);
+}
+
+inline Bit_Row&
+Bit_Matrix::operator[](const dimension_type k) {
+ PPL_ASSERT(k < rows.size());
+ return rows[k];
+}
+
+inline const Bit_Row&
+Bit_Matrix::operator[](const dimension_type k) const {
+ PPL_ASSERT(k < rows.size());
+ return rows[k];
+}
+
+inline dimension_type
+Bit_Matrix::num_columns() const {
+ return row_size;
+}
+
+inline dimension_type
+Bit_Matrix::num_rows() const {
+ return rows.size();
+}
+
+inline void
+Bit_Matrix::clear() {
+ // Clear `rows' and minimize its capacity.
+ std::vector<Bit_Row> tmp;
+ using std::swap;
+ swap(tmp, rows);
+ row_size = 0;
+}
+
+inline memory_size_type
+Bit_Matrix::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline bool
+Bit_Matrix::Bit_Row_Less_Than::
+operator()(const Bit_Row& x, const Bit_Row& y) const {
+ return compare(x, y) < 0;
+}
+
+inline bool
+Bit_Matrix::sorted_contains(const Bit_Row& row) const {
+ PPL_ASSERT(check_sorted());
+ return std::binary_search(rows.begin(), rows.end(), row,
+ Bit_Row_Less_Than());
+}
+
+/*! \relates Bit_Matrix */
+inline bool
+operator!=(const Bit_Matrix& x, const Bit_Matrix& y) {
+ return !(x == y);
+}
+
+/*! \relates Bit_Matrix */
+inline void
+swap(Bit_Matrix& x, Bit_Matrix& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Bit_Matrix_inlines_hh)
diff --git a/src/Bit_Matrix_types.hh b/src/Bit_Matrix_types.hh
new file mode 100644
index 0000000..11bfb42
--- /dev/null
+++ b/src/Bit_Matrix_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Bit_Matrix_types_hh
+#define PPL_Bit_Matrix_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Bit_Matrix;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Bit_Matrix_types_hh)
diff --git a/src/Bit_Row.cc b/src/Bit_Row.cc
index d250197..aabeb21 100644
--- a/src/Bit_Row.cc
+++ b/src/Bit_Row.cc
@@ -1,6 +1,6 @@
/* Bit_Row class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Bit_Row.defs.hh"
+#include "Bit_Row_defs.hh"
#include "assert.hh"
#include "C_Integer.hh"
@@ -143,11 +143,11 @@ PPL::Bit_Row::operator[](const unsigned long k) const {
const mp_size_t vec_size = vec->_mp_size;
PPL_ASSERT(vec_size >= 0);
- unsigned long i = k / static_cast<unsigned long>(GMP_NUMB_BITS);
+ const unsigned long i = k / static_cast<unsigned long>(GMP_NUMB_BITS);
if (i >= static_cast<unsigned long>(vec_size))
return false;
- mp_limb_t limb = *(vec->_mp_d + i);
+ const mp_limb_t limb = *(vec->_mp_d + i);
return ((limb >> (k % static_cast<unsigned long>(GMP_NUMB_BITS))) & 1U) != 0;
}
@@ -190,7 +190,7 @@ bool
PPL::subset_or_equal(const Bit_Row& x, const Bit_Row& y) {
mp_size_t x_size = x.vec->_mp_size;
PPL_ASSERT(x_size >= 0);
- mp_size_t y_size = y.vec->_mp_size;
+ const mp_size_t y_size = y.vec->_mp_size;
PPL_ASSERT(y_size >= 0);
if (x_size > y_size)
return false;
@@ -209,10 +209,10 @@ PPL::subset_or_equal(const Bit_Row& x, const Bit_Row& y) {
/*! \relates Parma_Polyhedra_Library::Bit_Row */
bool
PPL::subset_or_equal(const Bit_Row& x, const Bit_Row& y,
- bool& strict_subset) {
+ bool& strict_subset) {
mp_size_t x_size = x.vec->_mp_size;
PPL_ASSERT(x_size >= 0);
- mp_size_t y_size = y.vec->_mp_size;
+ const mp_size_t y_size = y.vec->_mp_size;
PPL_ASSERT(y_size >= 0);
if (x_size > y_size)
return false;
@@ -226,7 +226,7 @@ PPL::subset_or_equal(const Bit_Row& x, const Bit_Row& y,
xl = *xp;
yl = *yp;
if ((xl & ~yl) != 0)
- return false;
+ return false;
strict_subset_next:
++xp;
++yp;
@@ -238,10 +238,10 @@ PPL::subset_or_equal(const Bit_Row& x, const Bit_Row& y,
xl = *xp;
yl = *yp;
if (xl != yl) {
- if ((xl & ~yl) != 0)
- return false;
- strict_subset = true;
- goto strict_subset_next;
+ if ((xl & ~yl) != 0)
+ return false;
+ strict_subset = true;
+ goto strict_subset_next;
}
++xp;
++yp;
@@ -256,7 +256,7 @@ bool
PPL::strict_subset(const Bit_Row& x, const Bit_Row& y) {
mp_size_t x_size = x.vec->_mp_size;
PPL_ASSERT(x_size >= 0);
- mp_size_t y_size = y.vec->_mp_size;
+ const mp_size_t y_size = y.vec->_mp_size;
PPL_ASSERT(y_size >= 0);
if (x_size > y_size)
return false;
diff --git a/src/Bit_Row.defs.hh b/src/Bit_Row.defs.hh
deleted file mode 100644
index c9fbec3..0000000
--- a/src/Bit_Row.defs.hh
+++ /dev/null
@@ -1,214 +0,0 @@
-/* Bit_Row class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Bit_Row_defs_hh
-#define PPL_Bit_Row_defs_hh 1
-
-#include "Bit_Row.types.hh"
-#include "globals.types.hh"
-#include <iosfwd>
-#include <gmpxx.h>
-#include <vector>
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates Bit_Row */
-void swap(Bit_Row& x, Bit_Row& y);
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps objects referred by \p x and \p y.
-/*! \relates Bit_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void
-iter_swap(std::vector<Bit_Row>::iterator x,
- std::vector<Bit_Row>::iterator y);
-
-// Put them in the namespace here to declare them friends later.
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-/*! \relates Bit_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator==(const Bit_Row& x, const Bit_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are not equal.
-/*! \relates Bit_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator!=(const Bit_Row& x, const Bit_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The basic comparison function.
-/*! \relates Bit_Row
- Compares \p x with \p y starting from the least significant bits.
- The ordering is total and has the following property: if \p x and \p y
- are two rows seen as sets of naturals, if \p x is a strict subset
- of \p y, then \p x comes before \p y.
-
- Returns
- - -1 if \p x comes before \p y in the ordering;
- - 0 if \p x and \p y are equal;
- - 1 if \p x comes after \p y in the ordering.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-int compare(const Bit_Row& x, const Bit_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Set-theoretic inclusion test.
-/*! \relates Bit_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool subset_or_equal(const Bit_Row& x, const Bit_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Set-theoretic inclusion test: sets \p strict_subset to a Boolean
- indicating whether the inclusion is strict or not.
-
- \relates Bit_Row
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool subset_or_equal(const Bit_Row& x, const Bit_Row& y,
- bool& strict_subset);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Set-theoretic strict inclusion test.
-/*! \relates Bit_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool strict_subset(const Bit_Row& x, const Bit_Row& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A row in a matrix of bits.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Bit_Row {
-public:
- //! Default constructor.
- Bit_Row();
-
- //! Copy constructor.
- Bit_Row(const Bit_Row& y);
-
- //! Set-union constructor.
- /*!
- Constructs an object containing the set-union of \p y and \p z.
- */
- Bit_Row(const Bit_Row& y, const Bit_Row& z);
-
- //! Destructor.
- ~Bit_Row();
-
- //! Assignment operator.
- Bit_Row& operator=(const Bit_Row& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Bit_Row& y);
-
- //! Returns the truth value corresponding to the bit in position \p k.
- bool operator[](unsigned long k) const;
-
- //! Sets the bit in position \p k.
- void set(unsigned long k);
-
- //! Sets bits up to position \p k (excluded).
- void set_until(unsigned long k);
-
- //! Clears the bit in position \p k.
- void clear(unsigned long k);
-
- //! Clears bits from position \p k (included) onward.
- void clear_from(unsigned long k);
-
- //! Clears all the bits of the row.
- void clear();
-
- //! Assigns to \p *this the set-theoretic union of \p x and \p y.
- void union_assign(const Bit_Row& x, const Bit_Row& y);
-
- //! Assigns to \p *this the set-theoretic intersection of \p x and \p y.
- void intersection_assign(const Bit_Row& x, const Bit_Row& y);
-
- //! Assigns to \p *this the set-theoretic difference of \p x and \p y.
- void difference_assign(const Bit_Row& x, const Bit_Row& y);
-
-
- friend int compare(const Bit_Row& x, const Bit_Row& y);
- friend bool operator==(const Bit_Row& x, const Bit_Row& y);
- friend bool operator!=(const Bit_Row& x, const Bit_Row& y);
- friend bool subset_or_equal(const Bit_Row& x, const Bit_Row& y);
- friend bool subset_or_equal(const Bit_Row& x, const Bit_Row& y,
- bool& strict_subset);
- friend bool strict_subset(const Bit_Row& x, const Bit_Row& y);
-
- //! Returns the index of the first set bit or ULONG_MAX if no bit is set.
- unsigned long first() const;
-
- /*! \brief
- Returns the index of the first set bit after \p position
- or ULONG_MAX if no bit after \p position is set.
- */
- unsigned long next(unsigned long position) const;
-
- //! Returns the index of the last set bit or ULONG_MAX if no bit is set.
- unsigned long last() const;
-
- /*! \brief
- Returns the index of the first set bit before \p position
- or ULONG_MAX if no bits before \p position is set.
- */
- unsigned long prev(unsigned long position) const;
-
- //! Returns the number of set bits in the row.
- unsigned long count_ones() const;
-
- //! Returns <CODE>true</CODE> if no bit is set in the row.
- bool empty() const;
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied
- bool OK() const;
-
-private:
- //! Bit-vector representing the row.
- mpz_t vec;
-
- //! Assigns to \p *this the union of \p y and \p z.
- /*!
- The size of \p y must be be less than or equal to the size of \p z.
- Upon entry, \p vec must have allocated enough space to contain the result.
- */
- void union_helper(const Bit_Row& y, const Bit_Row& z);
-};
-
-#include "Bit_Row.inlines.hh"
-
-#endif // !defined(PPL_Bit_Row_defs_hh)
diff --git a/src/Bit_Row.inlines.hh b/src/Bit_Row.inlines.hh
deleted file mode 100644
index fb10b91..0000000
--- a/src/Bit_Row.inlines.hh
+++ /dev/null
@@ -1,236 +0,0 @@
-/* Bit_Row class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Bit_Row_inlines_hh
-#define PPL_Bit_Row_inlines_hh 1
-
-#include "compiler.hh"
-#include "globals.defs.hh"
-#include "assert.hh"
-
-// For the declaration of ffs(3).
-#if defined(PPL_HAVE_STRINGS_H)
-# include <strings.h>
-#elif defined(PPL_HAVE_STRING_H)
-# include <string.h>
-#endif
-
-#define PPL_BITS_PER_GMP_LIMB sizeof_to_bits(PPL_SIZEOF_MP_LIMB_T)
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Bit_Row::Bit_Row() {
- mpz_init(vec);
-}
-
-inline
-Bit_Row::Bit_Row(const Bit_Row& y) {
- mpz_init_set(vec, y.vec);
-}
-
-inline
-Bit_Row::Bit_Row(const Bit_Row& y, const Bit_Row& z) {
- const mp_size_t y_size = y.vec->_mp_size;
- PPL_ASSERT(y_size >= 0);
- const mp_size_t z_size = z.vec->_mp_size;
- PPL_ASSERT(z_size >= 0);
- if (y_size < z_size) {
- PPL_ASSERT(static_cast<unsigned long>(z_size)
- <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
- mpz_init2(vec, static_cast<unsigned long>(z_size) * PPL_BITS_PER_GMP_LIMB);
- union_helper(y, z);
- }
- else {
- PPL_ASSERT(static_cast<unsigned long>(y_size)
- <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
- mpz_init2(vec, static_cast<unsigned long>(y_size) * PPL_BITS_PER_GMP_LIMB);
- union_helper(z, y);
- }
-}
-
-inline
-Bit_Row::~Bit_Row() {
- mpz_clear(vec);
-}
-
-inline Bit_Row&
-Bit_Row::operator=(const Bit_Row& y) {
- mpz_set(vec, y.vec);
- return *this;
-}
-
-inline void
-Bit_Row::set(const unsigned long k) {
- mpz_setbit(vec, k);
-}
-
-inline void
-Bit_Row::clear(const unsigned long k) {
- mpz_clrbit(vec, k);
-}
-
-inline void
-Bit_Row::clear_from(const unsigned long k) {
- mpz_tdiv_r_2exp(vec, vec, k);
-}
-
-inline unsigned long
-Bit_Row::count_ones() const {
- mp_size_t x_size = vec->_mp_size;
- PPL_ASSERT(x_size >= 0);
- return (x_size == 0) ? 0 : mpn_popcount(vec->_mp_d, x_size);
-}
-
-inline bool
-Bit_Row::empty() const {
- return mpz_sgn(vec) == 0;
-}
-
-inline void
-Bit_Row::m_swap(Bit_Row& y) {
- mpz_swap(vec, y.vec);
-}
-
-inline void
-Bit_Row::clear() {
- mpz_set_ui(vec, 0UL);
-}
-
-inline memory_size_type
-Bit_Row::external_memory_in_bytes() const {
- return static_cast<memory_size_type>(vec[0]._mp_alloc) * PPL_SIZEOF_MP_LIMB_T;
-}
-
-inline memory_size_type
-Bit_Row::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline void
-Bit_Row::union_assign(const Bit_Row& x, const Bit_Row& y) {
- const mp_size_t x_size = x.vec->_mp_size;
- PPL_ASSERT(x_size >= 0);
- const mp_size_t y_size = y.vec->_mp_size;
- PPL_ASSERT(y_size >= 0);
- if (x_size < y_size) {
- PPL_ASSERT(static_cast<unsigned long>(y_size)
- <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
- mpz_realloc2(vec, static_cast<unsigned long>(y_size) * PPL_BITS_PER_GMP_LIMB);
- union_helper(x, y);
- }
- else {
- PPL_ASSERT(static_cast<unsigned long>(x_size)
- <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
- mpz_realloc2(vec, static_cast<unsigned long>(x_size) * PPL_BITS_PER_GMP_LIMB);
- union_helper(y, x);
- }
-}
-
-inline void
-Bit_Row::intersection_assign(const Bit_Row& x, const Bit_Row& y) {
- mpz_and(vec, x.vec, y.vec);
-}
-
-inline void
-Bit_Row::difference_assign(const Bit_Row& x, const Bit_Row& y) {
- PPL_DIRTY_TEMP(mpz_class, complement_y);
- mpz_com(complement_y.get_mpz_t(), y.vec);
- mpz_and(vec, x.vec, complement_y.get_mpz_t());
-}
-
-namespace Implementation {
-
-/*! \brief
- Assuming \p u is nonzero, returns the index of the first set bit in \p u.
-*/
-inline unsigned int
-first_one(unsigned int u) {
- return ctz(u);
-}
-
-/*! \brief
- Assuming \p ul is nonzero, returns the index of the first set bit in
- \p ul.
-*/
-inline unsigned int
-first_one(unsigned long ul) {
- return ctz(ul);
-}
-
-/*! \brief
- Assuming \p ull is nonzero, returns the index of the first set bit in
- \p ull.
-*/
-inline unsigned int
-first_one(unsigned long long ull) {
- return ctz(ull);
-}
-
-/*! \brief
- Assuming \p u is nonzero, returns the index of the last set bit in \p u.
-*/
-inline unsigned int
-last_one(unsigned int u) {
- return static_cast<unsigned int>(sizeof_to_bits(sizeof(u)))
- - 1U - clz(u);
-}
-
-/*! \brief
- Assuming \p ul is nonzero, returns the index of the last set bit in
- \p ul.
-*/
-inline unsigned int
-last_one(unsigned long ul) {
- return static_cast<unsigned int>(sizeof_to_bits(sizeof(ul)))
- - 1U - clz(ul);
-}
-
-/*! \brief
- Assuming \p ull is nonzero, returns the index of the last set bit in
- \p ull.
-*/
-inline unsigned int
-last_one(unsigned long long ull) {
- return static_cast<unsigned int>(sizeof_to_bits(sizeof(ull)))
- - 1U - clz(ull);
-}
-
-} // namespace Implementation
-
-/*! \relates Bit_Row */
-inline void
-swap(Bit_Row& x, Bit_Row& y) {
- x.m_swap(y);
-}
-
-/*! \relates Bit_Row */
-inline void
-iter_swap(std::vector<Bit_Row>::iterator x,
- std::vector<Bit_Row>::iterator y) {
- swap(*x, *y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Bit_Row_inlines_hh)
diff --git a/src/Bit_Row.types.hh b/src/Bit_Row.types.hh
deleted file mode 100644
index a38b48d..0000000
--- a/src/Bit_Row.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Bit_Row_types_hh
-#define PPL_Bit_Row_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Bit_Row;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Bit_Row_types_hh)
diff --git a/src/Bit_Row_defs.hh b/src/Bit_Row_defs.hh
new file mode 100644
index 0000000..d51f39a
--- /dev/null
+++ b/src/Bit_Row_defs.hh
@@ -0,0 +1,214 @@
+/* Bit_Row class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Bit_Row_defs_hh
+#define PPL_Bit_Row_defs_hh 1
+
+#include "Bit_Row_types.hh"
+#include "globals_types.hh"
+#include <iosfwd>
+#include <gmpxx.h>
+#include <vector>
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates Bit_Row */
+void swap(Bit_Row& x, Bit_Row& y);
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps objects referred by \p x and \p y.
+/*! \relates Bit_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void
+iter_swap(std::vector<Bit_Row>::iterator x,
+ std::vector<Bit_Row>::iterator y);
+
+// Put them in the namespace here to declare them friends later.
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+/*! \relates Bit_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator==(const Bit_Row& x, const Bit_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are not equal.
+/*! \relates Bit_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator!=(const Bit_Row& x, const Bit_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The basic comparison function.
+/*! \relates Bit_Row
+ Compares \p x with \p y starting from the least significant bits.
+ The ordering is total and has the following property: if \p x and \p y
+ are two rows seen as sets of naturals, if \p x is a strict subset
+ of \p y, then \p x comes before \p y.
+
+ Returns
+ - -1 if \p x comes before \p y in the ordering;
+ - 0 if \p x and \p y are equal;
+ - 1 if \p x comes after \p y in the ordering.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+int compare(const Bit_Row& x, const Bit_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Set-theoretic inclusion test.
+/*! \relates Bit_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool subset_or_equal(const Bit_Row& x, const Bit_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Set-theoretic inclusion test: sets \p strict_subset to a Boolean
+ indicating whether the inclusion is strict or not.
+
+ \relates Bit_Row
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool subset_or_equal(const Bit_Row& x, const Bit_Row& y,
+ bool& strict_subset);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Set-theoretic strict inclusion test.
+/*! \relates Bit_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool strict_subset(const Bit_Row& x, const Bit_Row& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A row in a matrix of bits.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Bit_Row {
+public:
+ //! Default constructor.
+ Bit_Row();
+
+ //! Copy constructor.
+ Bit_Row(const Bit_Row& y);
+
+ //! Set-union constructor.
+ /*!
+ Constructs an object containing the set-union of \p y and \p z.
+ */
+ Bit_Row(const Bit_Row& y, const Bit_Row& z);
+
+ //! Destructor.
+ ~Bit_Row();
+
+ //! Assignment operator.
+ Bit_Row& operator=(const Bit_Row& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Bit_Row& y);
+
+ //! Returns the truth value corresponding to the bit in position \p k.
+ bool operator[](unsigned long k) const;
+
+ //! Sets the bit in position \p k.
+ void set(unsigned long k);
+
+ //! Sets bits up to position \p k (excluded).
+ void set_until(unsigned long k);
+
+ //! Clears the bit in position \p k.
+ void clear(unsigned long k);
+
+ //! Clears bits from position \p k (included) onward.
+ void clear_from(unsigned long k);
+
+ //! Clears all the bits of the row.
+ void clear();
+
+ //! Assigns to \p *this the set-theoretic union of \p x and \p y.
+ void union_assign(const Bit_Row& x, const Bit_Row& y);
+
+ //! Assigns to \p *this the set-theoretic intersection of \p x and \p y.
+ void intersection_assign(const Bit_Row& x, const Bit_Row& y);
+
+ //! Assigns to \p *this the set-theoretic difference of \p x and \p y.
+ void difference_assign(const Bit_Row& x, const Bit_Row& y);
+
+
+ friend int compare(const Bit_Row& x, const Bit_Row& y);
+ friend bool operator==(const Bit_Row& x, const Bit_Row& y);
+ friend bool operator!=(const Bit_Row& x, const Bit_Row& y);
+ friend bool subset_or_equal(const Bit_Row& x, const Bit_Row& y);
+ friend bool subset_or_equal(const Bit_Row& x, const Bit_Row& y,
+ bool& strict_subset);
+ friend bool strict_subset(const Bit_Row& x, const Bit_Row& y);
+
+ //! Returns the index of the first set bit or ULONG_MAX if no bit is set.
+ unsigned long first() const;
+
+ /*! \brief
+ Returns the index of the first set bit after \p position
+ or ULONG_MAX if no bit after \p position is set.
+ */
+ unsigned long next(unsigned long position) const;
+
+ //! Returns the index of the last set bit or ULONG_MAX if no bit is set.
+ unsigned long last() const;
+
+ /*! \brief
+ Returns the index of the first set bit before \p position
+ or ULONG_MAX if no bits before \p position is set.
+ */
+ unsigned long prev(unsigned long position) const;
+
+ //! Returns the number of set bits in the row.
+ unsigned long count_ones() const;
+
+ //! Returns <CODE>true</CODE> if no bit is set in the row.
+ bool empty() const;
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied
+ bool OK() const;
+
+private:
+ //! Bit-vector representing the row.
+ mpz_t vec;
+
+ //! Assigns to \p *this the union of \p y and \p z.
+ /*!
+ The size of \p y must be be less than or equal to the size of \p z.
+ Upon entry, \p vec must have allocated enough space to contain the result.
+ */
+ void union_helper(const Bit_Row& y, const Bit_Row& z);
+};
+
+#include "Bit_Row_inlines.hh"
+
+#endif // !defined(PPL_Bit_Row_defs_hh)
diff --git a/src/Bit_Row_inlines.hh b/src/Bit_Row_inlines.hh
new file mode 100644
index 0000000..ccb700b
--- /dev/null
+++ b/src/Bit_Row_inlines.hh
@@ -0,0 +1,236 @@
+/* Bit_Row class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Bit_Row_inlines_hh
+#define PPL_Bit_Row_inlines_hh 1
+
+#include "compiler.hh"
+#include "globals_defs.hh"
+#include "assert.hh"
+
+// For the declaration of ffs(3).
+#if defined(PPL_HAVE_STRINGS_H)
+# include <strings.h>
+#elif defined(PPL_HAVE_STRING_H)
+# include <string.h>
+#endif
+
+#define PPL_BITS_PER_GMP_LIMB sizeof_to_bits(PPL_SIZEOF_MP_LIMB_T)
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Bit_Row::Bit_Row() {
+ mpz_init(vec);
+}
+
+inline
+Bit_Row::Bit_Row(const Bit_Row& y) {
+ mpz_init_set(vec, y.vec);
+}
+
+inline
+Bit_Row::Bit_Row(const Bit_Row& y, const Bit_Row& z) {
+ const mp_size_t y_size = y.vec->_mp_size;
+ PPL_ASSERT(y_size >= 0);
+ const mp_size_t z_size = z.vec->_mp_size;
+ PPL_ASSERT(z_size >= 0);
+ if (y_size < z_size) {
+ PPL_ASSERT(static_cast<unsigned long>(z_size)
+ <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
+ mpz_init2(vec, static_cast<unsigned long>(z_size) * PPL_BITS_PER_GMP_LIMB);
+ union_helper(y, z);
+ }
+ else {
+ PPL_ASSERT(static_cast<unsigned long>(y_size)
+ <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
+ mpz_init2(vec, static_cast<unsigned long>(y_size) * PPL_BITS_PER_GMP_LIMB);
+ union_helper(z, y);
+ }
+}
+
+inline
+Bit_Row::~Bit_Row() {
+ mpz_clear(vec);
+}
+
+inline Bit_Row&
+Bit_Row::operator=(const Bit_Row& y) {
+ mpz_set(vec, y.vec);
+ return *this;
+}
+
+inline void
+Bit_Row::set(const unsigned long k) {
+ mpz_setbit(vec, k);
+}
+
+inline void
+Bit_Row::clear(const unsigned long k) {
+ mpz_clrbit(vec, k);
+}
+
+inline void
+Bit_Row::clear_from(const unsigned long k) {
+ mpz_tdiv_r_2exp(vec, vec, k);
+}
+
+inline unsigned long
+Bit_Row::count_ones() const {
+ const mp_size_t x_size = vec->_mp_size;
+ PPL_ASSERT(x_size >= 0);
+ return (x_size == 0) ? 0 : mpn_popcount(vec->_mp_d, x_size);
+}
+
+inline bool
+Bit_Row::empty() const {
+ return mpz_sgn(vec) == 0;
+}
+
+inline void
+Bit_Row::m_swap(Bit_Row& y) {
+ mpz_swap(vec, y.vec);
+}
+
+inline void
+Bit_Row::clear() {
+ mpz_set_ui(vec, 0UL);
+}
+
+inline memory_size_type
+Bit_Row::external_memory_in_bytes() const {
+ return static_cast<memory_size_type>(vec[0]._mp_alloc) * PPL_SIZEOF_MP_LIMB_T;
+}
+
+inline memory_size_type
+Bit_Row::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline void
+Bit_Row::union_assign(const Bit_Row& x, const Bit_Row& y) {
+ const mp_size_t x_size = x.vec->_mp_size;
+ PPL_ASSERT(x_size >= 0);
+ const mp_size_t y_size = y.vec->_mp_size;
+ PPL_ASSERT(y_size >= 0);
+ if (x_size < y_size) {
+ PPL_ASSERT(static_cast<unsigned long>(y_size)
+ <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
+ mpz_realloc2(vec, static_cast<unsigned long>(y_size) * PPL_BITS_PER_GMP_LIMB);
+ union_helper(x, y);
+ }
+ else {
+ PPL_ASSERT(static_cast<unsigned long>(x_size)
+ <= C_Integer<unsigned long>::max / PPL_BITS_PER_GMP_LIMB);
+ mpz_realloc2(vec, static_cast<unsigned long>(x_size) * PPL_BITS_PER_GMP_LIMB);
+ union_helper(y, x);
+ }
+}
+
+inline void
+Bit_Row::intersection_assign(const Bit_Row& x, const Bit_Row& y) {
+ mpz_and(vec, x.vec, y.vec);
+}
+
+inline void
+Bit_Row::difference_assign(const Bit_Row& x, const Bit_Row& y) {
+ PPL_DIRTY_TEMP(mpz_class, complement_y);
+ mpz_com(complement_y.get_mpz_t(), y.vec);
+ mpz_and(vec, x.vec, complement_y.get_mpz_t());
+}
+
+namespace Implementation {
+
+/*! \brief
+ Assuming \p u is nonzero, returns the index of the first set bit in \p u.
+*/
+inline unsigned int
+first_one(unsigned int u) {
+ return ctz(u);
+}
+
+/*! \brief
+ Assuming \p ul is nonzero, returns the index of the first set bit in
+ \p ul.
+*/
+inline unsigned int
+first_one(unsigned long ul) {
+ return ctz(ul);
+}
+
+/*! \brief
+ Assuming \p ull is nonzero, returns the index of the first set bit in
+ \p ull.
+*/
+inline unsigned int
+first_one(unsigned long long ull) {
+ return ctz(ull);
+}
+
+/*! \brief
+ Assuming \p u is nonzero, returns the index of the last set bit in \p u.
+*/
+inline unsigned int
+last_one(unsigned int u) {
+ return static_cast<unsigned int>(sizeof_to_bits(sizeof(u)))
+ - 1U - clz(u);
+}
+
+/*! \brief
+ Assuming \p ul is nonzero, returns the index of the last set bit in
+ \p ul.
+*/
+inline unsigned int
+last_one(unsigned long ul) {
+ return static_cast<unsigned int>(sizeof_to_bits(sizeof(ul)))
+ - 1U - clz(ul);
+}
+
+/*! \brief
+ Assuming \p ull is nonzero, returns the index of the last set bit in
+ \p ull.
+*/
+inline unsigned int
+last_one(unsigned long long ull) {
+ return static_cast<unsigned int>(sizeof_to_bits(sizeof(ull)))
+ - 1U - clz(ull);
+}
+
+} // namespace Implementation
+
+/*! \relates Bit_Row */
+inline void
+swap(Bit_Row& x, Bit_Row& y) {
+ x.m_swap(y);
+}
+
+/*! \relates Bit_Row */
+inline void
+iter_swap(std::vector<Bit_Row>::iterator x,
+ std::vector<Bit_Row>::iterator y) {
+ swap(*x, *y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Bit_Row_inlines_hh)
diff --git a/src/Bit_Row_types.hh b/src/Bit_Row_types.hh
new file mode 100644
index 0000000..7206d43
--- /dev/null
+++ b/src/Bit_Row_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Bit_Row_types_hh
+#define PPL_Bit_Row_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Bit_Row;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Bit_Row_types_hh)
diff --git a/src/Boundary.defs.hh b/src/Boundary.defs.hh
deleted file mode 100644
index 082b633..0000000
--- a/src/Boundary.defs.hh
+++ /dev/null
@@ -1,738 +0,0 @@
-/* Interval boundary functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Boundary_defs_hh
-#define PPL_Boundary_defs_hh 1
-
-#include "Checked_Number.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Boundary_NS {
-
-struct Property {
- enum Type {
- SPECIAL_,
- OPEN_,
- };
- typedef bool Value;
- static const Value default_value = true;
- static const Value unsupported_value = false;
- Property(Type t)
- : type(t) {
- }
- Type type;
-};
-
-static const Property SPECIAL(Property::SPECIAL_);
-static const Property OPEN(Property::OPEN_);
-
-enum Boundary_Type {
- LOWER = ROUND_DOWN,
- UPPER = ROUND_UP
-};
-
-inline Rounding_Dir
-round_dir_check(Boundary_Type t, bool check = false) {
- if (check)
- return static_cast<Rounding_Dir>(t) | ROUND_STRICT_RELATION;
- else
- return static_cast<Rounding_Dir>(t);
-}
-
-template <typename T, typename Info>
-inline Result
-special_set_boundary_infinity(Boundary_Type type, T&, Info& info) {
- PPL_ASSERT(Info::store_special);
- info.set_boundary_property(type, SPECIAL);
- return V_EQ;
-}
-
-template <typename T, typename Info>
-inline bool
-special_is_open(Boundary_Type, const T&, const Info&) {
- return !Info::may_contain_infinity;
-}
-
-template <typename T, typename Info>
-inline bool
-normal_is_open(Boundary_Type type, const T& x, const Info& info) {
- if (Info::store_open)
- return info.get_boundary_property(type, OPEN);
- else
- return !Info::store_special && !Info::may_contain_infinity
- && normal_is_boundary_infinity(type, x, info);
-}
-
-template <typename T, typename Info>
-inline bool
-is_open(Boundary_Type type, const T& x, const Info& info) {
- if (Info::store_open)
- return info.get_boundary_property(type, OPEN);
- else
- return !Info::may_contain_infinity
- && is_boundary_infinity(type, x, info);
-}
-
-template <typename T, typename Info>
-inline Result
-set_unbounded(Boundary_Type type, T& x, Info& info) {
- PPL_COMPILE_TIME_CHECK(Info::store_special
- || std::numeric_limits<T>::is_bounded
- || std::numeric_limits<T>::has_infinity,
- "unbounded is not representable");
- Result r;
- if (Info::store_special)
- r = special_set_boundary_infinity(type, x, info);
- else if (type == LOWER)
- r = assign_r(x, MINUS_INFINITY, ROUND_UP);
- else
- r = assign_r(x, PLUS_INFINITY, ROUND_DOWN);
- if (result_relation(r) == VR_EQ && !Info::may_contain_infinity)
- info.set_boundary_property(type, OPEN);
- return r;
-}
-
-template <typename T, typename Info>
-inline Result
-set_minus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
- /*
- PPL_COMPILE_TIME_CHECK(Info::store_special
- || std::numeric_limits<T>::has_infinity,
- "minus infinity is not representable");
- */
- if (open) {
- PPL_ASSERT(type == LOWER);
- }
- else {
- PPL_ASSERT(Info::may_contain_infinity);
- }
- Result r;
- if (Info::store_special) {
- PPL_ASSERT(type == LOWER);
- r = special_set_boundary_infinity(type, x, info);
- }
- else {
- r = assign_r(x, MINUS_INFINITY, round_dir_check(type));
- PPL_ASSERT(result_representable(r));
- }
- if (open || result_relation(r) != VR_EQ)
- info.set_boundary_property(type, OPEN);
- return r;
-}
-
-template <typename T, typename Info>
-inline Result
-set_plus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
- /*
- PPL_COMPILE_TIME_CHECK(Info::store_special
- || std::numeric_limits<T>::has_infinity,
- "minus infinity is not representable");
- */
- if (open) {
- PPL_ASSERT(type == UPPER);
- }
- else {
- PPL_ASSERT(Info::may_contain_infinity);
- }
- Result r;
- if (Info::store_special) {
- PPL_ASSERT(type == UPPER);
- r = special_set_boundary_infinity(type, x, info);
- }
- else {
- r = assign_r(x, PLUS_INFINITY, round_dir_check(type));
- PPL_ASSERT(result_representable(r));
- }
- if (open || result_relation(r) != VR_EQ)
- info.set_boundary_property(type, OPEN);
- return r;
-}
-
-template <typename T, typename Info>
-inline Result
-set_boundary_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
- PPL_ASSERT(open || Info::may_contain_infinity);
- Result r;
- if (Info::store_special)
- r = special_set_boundary_infinity(type, x, info);
- else if (type == LOWER)
- r = assign_r(x, MINUS_INFINITY, round_dir_check(type));
- else
- r = assign_r(x, PLUS_INFINITY, round_dir_check(type));
- PPL_ASSERT(result_representable(r));
- if (open)
- info.set_boundary_property(type, OPEN);
- return r;
-}
-
-template <typename T, typename Info>
-inline bool
-is_domain_inf(Boundary_Type type, const T& x, const Info& info) {
- if (Info::store_special && type == LOWER)
- return info.get_boundary_property(type, SPECIAL);
- else if (std::numeric_limits<T>::has_infinity)
- return Parma_Polyhedra_Library::is_minus_infinity(x);
- else if (std::numeric_limits<T>::is_bounded)
- return x == std::numeric_limits<T>::min();
- else
- return false;
-}
-
-template <typename T, typename Info>
-inline bool
-is_domain_sup(Boundary_Type type, const T& x, const Info& info) {
- if (Info::store_special && type == UPPER)
- return info.get_boundary_property(type, SPECIAL);
- else if (std::numeric_limits<T>::has_infinity)
- return Parma_Polyhedra_Library::is_plus_infinity(x);
- else if (std::numeric_limits<T>::is_bounded)
- return x == std::numeric_limits<T>::max();
- else
- return false;
-}
-
-template <typename T, typename Info>
-inline bool
-normal_is_boundary_infinity(Boundary_Type type, const T& x, const Info&) {
- if (!std::numeric_limits<T>::has_infinity)
- return false;
- if (type == LOWER)
- return Parma_Polyhedra_Library::is_minus_infinity(x);
- else
- return Parma_Polyhedra_Library::is_plus_infinity(x);
-}
-
-template <typename T, typename Info>
-inline bool
-is_boundary_infinity(Boundary_Type type, const T& x, const Info& info) {
- if (Info::store_special)
- return info.get_boundary_property(type, SPECIAL);
- else
- return normal_is_boundary_infinity(type, x, info);
-}
-
-template <typename T, typename Info>
-inline bool
-normal_is_reverse_infinity(Boundary_Type type, const T& x, const Info&) {
- if (!Info::may_contain_infinity)
- return false;
- else if (type == LOWER)
- return Parma_Polyhedra_Library::is_plus_infinity(x);
- else
- return Parma_Polyhedra_Library::is_minus_infinity(x);
-}
-
-template <typename T, typename Info>
-inline bool
-is_minus_infinity(Boundary_Type type, const T& x, const Info& info) {
- if (type == LOWER) {
- if (Info::store_special)
- return info.get_boundary_property(type, SPECIAL);
- else
- return normal_is_boundary_infinity(type, x, info);
- }
- else
- return !Info::store_special && normal_is_reverse_infinity(type, x, info);
-}
-
-template <typename T, typename Info>
-inline bool
-is_plus_infinity(Boundary_Type type, const T& x, const Info& info) {
- if (type == UPPER) {
- if (Info::store_special)
- return info.get_boundary_property(type, SPECIAL);
- else
- return normal_is_boundary_infinity(type, x, info);
- }
- else
- return !Info::store_special && normal_is_reverse_infinity(type, x, info);
-}
-
-template <typename T, typename Info>
-inline bool
-is_reverse_infinity(Boundary_Type type, const T& x, const Info& info) {
- return normal_is_reverse_infinity(type, x, info);
-}
-
-template <typename T, typename Info>
-inline int
-infinity_sign(Boundary_Type type, const T& x, const Info& info) {
- if (is_boundary_infinity(type, x, info))
- return (type == LOWER) ? -1 : 1;
- else if (is_reverse_infinity(type, x, info))
- return (type == UPPER) ? -1 : 1;
- else
- return 0;
-}
-
-template <typename T, typename Info>
-inline bool
-is_boundary_infinity_closed(Boundary_Type type, const T& x, const Info& info) {
- return Info::may_contain_infinity
- && !info.get_boundary_property(type, OPEN)
- && is_boundary_infinity(type, x, info);
-}
-
-template <typename Info>
-inline bool
-boundary_infinity_is_open(Boundary_Type type, const Info& info) {
- return !Info::may_contain_infinity
- || info.get_boundary_property(type, OPEN);
-}
-
-template <typename T, typename Info>
-inline int
-sgn_b(Boundary_Type type, const T& x, const Info& info) {
- if (info.get_boundary_property(type, SPECIAL))
- return (type == LOWER) ? -1 : 1;
- else
- // The following Parma_Polyhedra_Library:: qualification is to work
- // around a bug of GCC 4.0.x.
- return Parma_Polyhedra_Library::sgn(x);
-}
-
-template <typename T, typename Info>
-inline int
-sgn(Boundary_Type type, const T& x, const Info& info) {
- int sign = sgn_b(type, x, info);
- if (x == 0 && info.get_boundary_property(type, OPEN))
- return (type == LOWER) ? -1 : 1;
- else
- return sign;
-}
-
-template <typename T1, typename Info1, typename T2, typename Info2>
-inline bool
-eq(Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- if (type1 == type2) {
- if (is_open(type1, x1, info1)
- != is_open(type2, x2, info2))
- return false;
- }
- else if (is_open(type1, x1, info1)
- || is_open(type2, x2, info2))
- return false;
- if (is_minus_infinity(type1, x1, info1))
- return is_minus_infinity(type2, x2, info2);
- else if (is_plus_infinity(type1, x1, info1))
- return is_plus_infinity(type2, x2, info2);
- else if (is_minus_infinity(type2, x2, info2)
- || is_plus_infinity(type2, x2, info2))
- return false;
- else
- return equal(x1, x2);
-}
-
-template <typename T1, typename Info1, typename T2, typename Info2>
-inline bool
-lt(Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- if (is_open(type1, x1, info1)) {
- if (type1 == UPPER
- && (type2 == LOWER
- || !is_open(type2, x2, info2)))
- goto le;
- }
- else if (type2 == LOWER
- && is_open(type2, x2, info2)) {
- le:
- if (is_minus_infinity(type1, x1, info1)
- || is_plus_infinity(type2, x2, info2))
- return true;
- if (is_plus_infinity(type1, x1, info1)
- || is_minus_infinity(type2, x2, info2))
- return false;
- else
- return less_or_equal(x1, x2);
- }
- if (is_plus_infinity(type1, x1, info1)
- || is_minus_infinity(type2, x2, info2))
- return false;
- if (is_minus_infinity(type1, x1, info1)
- || is_plus_infinity(type2, x2, info2))
- return true;
- else
- return less_than(x1, x2);
-}
-
-template <typename T1, typename Info1, typename T2, typename Info2>
-inline bool
-gt(Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- return lt(type2, x2, info2, type1, x1, info1);
-}
-
-template <typename T1, typename Info1, typename T2, typename Info2>
-inline bool
-le(Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- return !gt(type1, x1, info1, type2, x2, info2);
-}
-
-template <typename T1, typename Info1, typename T2, typename Info2>
-inline bool
-ge(Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- return !lt(type1, x1, info1, type2, x2, info2);
-}
-
-template <typename T, typename Info>
-inline Result
-adjust_boundary(Boundary_Type type, T& x, Info& info,
- bool open, Result r) {
- r = result_relation_class(r);
- if (type == LOWER) {
- switch (r) {
- case V_GT_MINUS_INFINITY:
- open = true;
- /* Fall through */
- case V_EQ_MINUS_INFINITY:
- if (!Info::store_special)
- return r;
- if (open)
- info.set_boundary_property(type, OPEN);
- return special_set_boundary_infinity(type, x, info);
- case V_GT:
- open = true;
- /* Fall through */
- case V_GE:
- case V_EQ:
- if (open)
- info.set_boundary_property(type, OPEN);
- return r;
- default:
- PPL_UNREACHABLE;
- return V_NAN;
- }
- }
- else {
- switch (r) {
- case V_LT_PLUS_INFINITY:
- open = true;
- /* Fall through */
- case V_EQ_PLUS_INFINITY:
- if (!Info::store_special)
- return r;
- if (open)
- info.set_boundary_property(type, OPEN);
- return special_set_boundary_infinity(type, x, info);
- case V_LT:
- open = true;
- /* Fall through */
- case V_LE:
- case V_EQ:
- if (open)
- info.set_boundary_property(type, OPEN);
- return r;
- default:
- PPL_UNREACHABLE;
- return V_NAN;
- }
- }
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-complement(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
- PPL_ASSERT(to_type != type);
- bool should_shrink;
- if (info.get_boundary_property(type, SPECIAL)) {
- should_shrink = !special_is_open(type, x, info);
- if (type == LOWER)
- return set_minus_infinity(to_type, to, to_info, should_shrink);
- else
- return set_plus_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = !normal_is_open(type, x, info);
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = assign_r(to, x, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info,
- bool should_shrink = false) {
- PPL_ASSERT(to_type == type);
- if (info.get_boundary_property(type, SPECIAL)) {
- should_shrink = (should_shrink || special_is_open(type, x, info));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = (should_shrink || normal_is_open(type, x, info));
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = assign_r(to, x, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
- if (lt(type, x, info, to_type, to, to_info)) {
- to_info.clear_boundary_properties(to_type);
- return assign(to_type, to, to_info, type, x, info);
- }
- return V_EQ;
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- if (lt(type1, x1, info1, type2, x2, info2))
- return assign(to_type, to, to_info, type1, x1, info1);
- else
- return assign(to_type, to, to_info, type2, x2, info2);
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
- if (gt(type, x, info, to_type, to, to_info)) {
- to_info.clear_boundary_properties(to_type);
- return assign(to_type, to, to_info, type, x, info);
- }
- return V_EQ;
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- if (gt(type1, x1, info1, type2, x2, info2))
- return assign(to_type, to, to_info, type1, x1, info1);
- else
- return assign(to_type, to, to_info, type2, x2, info2);
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-neg_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
- PPL_ASSERT(to_type != type);
- bool should_shrink;
- if (info.get_boundary_property(type, SPECIAL)) {
- should_shrink = special_is_open(type, x, info);
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = normal_is_open(type, x, info);
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = neg_assign_r(to, x, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-add_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- PPL_ASSERT(type1 == type2);
- bool should_shrink;
- if (is_boundary_infinity(type1, x1, info1)) {
- should_shrink = (boundary_infinity_is_open(type1, info1)
- && !is_boundary_infinity_closed(type2, x2, info2));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- else if (is_boundary_infinity(type2, x2, info2)) {
- should_shrink = (boundary_infinity_is_open(type2, info2)
- && !is_boundary_infinity_closed(type1, x1, info1));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = (normal_is_open(type1, x1, info1)
- || normal_is_open(type2, x2, info2));
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- // FIXME: extended handling is not needed
- Result r = add_assign_r(to, x1, x2, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-sub_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- PPL_ASSERT(type1 != type2);
- bool should_shrink;
- if (is_boundary_infinity(type1, x1, info1)) {
- should_shrink = (boundary_infinity_is_open(type1, info1)
- && !is_boundary_infinity_closed(type2, x2, info2));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- else if (is_boundary_infinity(type2, x2, info2)) {
- should_shrink = (boundary_infinity_is_open(type2, info2)
- && !is_boundary_infinity_closed(type1, x1, info1));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = (normal_is_open(type1, x1, info1)
- || normal_is_open(type2, x2, info2));
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- // FIXME: extended handling is not needed
- Result r = sub_assign_r(to, x1, x2, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-mul_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- bool should_shrink;
- if (is_boundary_infinity(type1, x1, info1)) {
- should_shrink = (boundary_infinity_is_open(type1, info1)
- && !is_boundary_infinity_closed(type2, x2, info2));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- else if (is_boundary_infinity(type2, x2, info2)) {
- should_shrink = (boundary_infinity_is_open(type2, info2)
- && !is_boundary_infinity_closed(type1, x1, info1));
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = (normal_is_open(type1, x1, info1)
- || normal_is_open(type2, x2, info2));
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- PPL_ASSERT(x1 != Constant<0>::value && x2 != Constant<0>::value);
- // FIXME: extended handling is not needed
- Result r = mul_assign_r(to, x1, x2, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info>
-inline Result
-set_zero(Boundary_Type to_type, To& to, To_Info& to_info, bool should_shrink) {
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = assign_r(to, Constant<0>::value, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-mul_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
- Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
- bool should_shrink;
- if (x1s != 0) {
- if (x2s != 0)
- return mul_assign(to_type, to, to_info,
- type1, x1, info1,
- type2, x2, info2);
- else
- should_shrink = info2.get_boundary_property(type2, OPEN);
- }
- else {
- should_shrink = (info1.get_boundary_property(type1, OPEN)
- && (x2s != 0 || info2.get_boundary_property(type2, OPEN)));
- }
- return set_zero(to_type, to, to_info, should_shrink);
-}
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-div_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
- bool should_shrink;
- if (is_boundary_infinity(type1, x1, info1)) {
- should_shrink = boundary_infinity_is_open(type1, info1);
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- else if (is_boundary_infinity(type2, x2, info2)) {
- should_shrink = boundary_infinity_is_open(type2, info2);
- return set_zero(to_type, to, to_info, should_shrink);
- }
- should_shrink = (normal_is_open(type1, x1, info1)
- || normal_is_open(type2, x2, info2));
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- PPL_ASSERT(x1 != Constant<0>::value && x2 != Constant<0>::value);
- // FIXME: extended handling is not needed
- Result r = div_assign_r(to, x1, x2, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-
-template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
-inline Result
-div_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
- Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
- if (x1s != 0) {
- if (x2s != 0)
- return div_assign(to_type, to, to_info,
- type1, x1, info1,
- type2, x2, info2);
- else {
- return set_boundary_infinity(to_type, to, to_info, true);
- }
- }
- else {
- bool should_shrink = info1.get_boundary_property(type1, OPEN)
- && !is_boundary_infinity_closed(type2, x2, info2);
- return set_zero(to_type, to, to_info, should_shrink);
- }
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-umod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info,
- unsigned int exp) {
- PPL_ASSERT(to_type == type);
- bool should_shrink;
- if (is_boundary_infinity(type, x, info)) {
- should_shrink = boundary_infinity_is_open(type, info);
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = normal_is_open(type, x, info);
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = umod_2exp_assign_r(to, x, exp, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-template <typename To, typename To_Info, typename T, typename Info>
-inline Result
-smod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info,
- unsigned int exp) {
- PPL_ASSERT(to_type == type);
- bool should_shrink;
- if (is_boundary_infinity(type, x, info)) {
- should_shrink = boundary_infinity_is_open(type, info);
- return set_boundary_infinity(to_type, to, to_info, should_shrink);
- }
- should_shrink = normal_is_open(type, x, info);
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = smod_2exp_assign_r(to, x, exp, round_dir_check(to_type, check));
- return adjust_boundary(to_type, to, to_info, should_shrink, r);
-}
-
-} // namespace Boundary_NS
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Boundary_defs_hh)
diff --git a/src/Boundary_defs.hh b/src/Boundary_defs.hh
new file mode 100644
index 0000000..b00fe51
--- /dev/null
+++ b/src/Boundary_defs.hh
@@ -0,0 +1,729 @@
+/* Interval boundary functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Boundary_defs_hh
+#define PPL_Boundary_defs_hh 1
+
+#include "Checked_Number_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Boundary_NS {
+
+struct Property {
+ enum Type {
+ SPECIAL_,
+ OPEN_,
+ };
+ typedef bool Value;
+ static const Value default_value = true;
+ static const Value unsupported_value = false;
+ Property(Type t)
+ : type(t) {
+ }
+ Type type;
+};
+
+static const Property SPECIAL(Property::SPECIAL_);
+static const Property OPEN(Property::OPEN_);
+
+enum Boundary_Type {
+ LOWER = ROUND_DOWN,
+ UPPER = ROUND_UP
+};
+
+inline Rounding_Dir
+round_dir_check(Boundary_Type t, bool check = false) {
+ if (check)
+ return static_cast<Rounding_Dir>(t) | ROUND_STRICT_RELATION;
+ else
+ return static_cast<Rounding_Dir>(t);
+}
+
+template <typename T, typename Info>
+inline Result
+special_set_boundary_infinity(Boundary_Type type, T&, Info& info) {
+ PPL_ASSERT(Info::store_special);
+ info.set_boundary_property(type, SPECIAL);
+ return V_EQ;
+}
+
+template <typename T, typename Info>
+inline bool
+special_is_open(Boundary_Type, const T&, const Info&) {
+ return !Info::may_contain_infinity;
+}
+
+template <typename T, typename Info>
+inline bool
+normal_is_open(Boundary_Type type, const T& x, const Info& info) {
+ if (Info::store_open)
+ return info.get_boundary_property(type, OPEN);
+ else
+ return !Info::store_special && !Info::may_contain_infinity
+ && normal_is_boundary_infinity(type, x, info);
+}
+
+template <typename T, typename Info>
+inline bool
+is_open(Boundary_Type type, const T& x, const Info& info) {
+ if (Info::store_open)
+ return info.get_boundary_property(type, OPEN);
+ else
+ return !Info::may_contain_infinity
+ && is_boundary_infinity(type, x, info);
+}
+
+template <typename T, typename Info>
+inline Result
+set_unbounded(Boundary_Type type, T& x, Info& info) {
+ PPL_COMPILE_TIME_CHECK(Info::store_special
+ || std::numeric_limits<T>::is_bounded
+ || std::numeric_limits<T>::has_infinity,
+ "unbounded is not representable");
+ Result r;
+ if (Info::store_special)
+ r = special_set_boundary_infinity(type, x, info);
+ else if (type == LOWER)
+ r = assign_r(x, MINUS_INFINITY, ROUND_UP);
+ else
+ r = assign_r(x, PLUS_INFINITY, ROUND_DOWN);
+ if (result_relation(r) == VR_EQ && !Info::may_contain_infinity)
+ info.set_boundary_property(type, OPEN);
+ return r;
+}
+
+template <typename T, typename Info>
+inline Result
+set_minus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
+ if (open) {
+ PPL_ASSERT(type == LOWER);
+ }
+ else {
+ PPL_ASSERT(Info::may_contain_infinity);
+ }
+ Result r;
+ if (Info::store_special) {
+ PPL_ASSERT(type == LOWER);
+ r = special_set_boundary_infinity(type, x, info);
+ }
+ else {
+ r = assign_r(x, MINUS_INFINITY, round_dir_check(type));
+ PPL_ASSERT(result_representable(r));
+ }
+ if (open || result_relation(r) != VR_EQ)
+ info.set_boundary_property(type, OPEN);
+ return r;
+}
+
+template <typename T, typename Info>
+inline Result
+set_plus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
+ if (open) {
+ PPL_ASSERT(type == UPPER);
+ }
+ else {
+ PPL_ASSERT(Info::may_contain_infinity);
+ }
+ Result r;
+ if (Info::store_special) {
+ PPL_ASSERT(type == UPPER);
+ r = special_set_boundary_infinity(type, x, info);
+ }
+ else {
+ r = assign_r(x, PLUS_INFINITY, round_dir_check(type));
+ PPL_ASSERT(result_representable(r));
+ }
+ if (open || result_relation(r) != VR_EQ)
+ info.set_boundary_property(type, OPEN);
+ return r;
+}
+
+template <typename T, typename Info>
+inline Result
+set_boundary_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
+ PPL_ASSERT(open || Info::may_contain_infinity);
+ Result r;
+ if (Info::store_special)
+ r = special_set_boundary_infinity(type, x, info);
+ else if (type == LOWER)
+ r = assign_r(x, MINUS_INFINITY, round_dir_check(type));
+ else
+ r = assign_r(x, PLUS_INFINITY, round_dir_check(type));
+ PPL_ASSERT(result_representable(r));
+ if (open)
+ info.set_boundary_property(type, OPEN);
+ return r;
+}
+
+template <typename T, typename Info>
+inline bool
+is_domain_inf(Boundary_Type type, const T& x, const Info& info) {
+ if (Info::store_special && type == LOWER)
+ return info.get_boundary_property(type, SPECIAL);
+ else if (std::numeric_limits<T>::has_infinity)
+ return Parma_Polyhedra_Library::is_minus_infinity(x);
+ else if (std::numeric_limits<T>::is_bounded)
+ return x == std::numeric_limits<T>::min();
+ else
+ return false;
+}
+
+template <typename T, typename Info>
+inline bool
+is_domain_sup(Boundary_Type type, const T& x, const Info& info) {
+ if (Info::store_special && type == UPPER)
+ return info.get_boundary_property(type, SPECIAL);
+ else if (std::numeric_limits<T>::has_infinity)
+ return Parma_Polyhedra_Library::is_plus_infinity(x);
+ else if (std::numeric_limits<T>::is_bounded)
+ return x == std::numeric_limits<T>::max();
+ else
+ return false;
+}
+
+template <typename T, typename Info>
+inline bool
+normal_is_boundary_infinity(Boundary_Type type, const T& x, const Info&) {
+ if (!std::numeric_limits<T>::has_infinity)
+ return false;
+ if (type == LOWER)
+ return Parma_Polyhedra_Library::is_minus_infinity(x);
+ else
+ return Parma_Polyhedra_Library::is_plus_infinity(x);
+}
+
+template <typename T, typename Info>
+inline bool
+is_boundary_infinity(Boundary_Type type, const T& x, const Info& info) {
+ if (Info::store_special)
+ return info.get_boundary_property(type, SPECIAL);
+ else
+ return normal_is_boundary_infinity(type, x, info);
+}
+
+template <typename T, typename Info>
+inline bool
+normal_is_reverse_infinity(Boundary_Type type, const T& x, const Info&) {
+ if (!Info::may_contain_infinity)
+ return false;
+ else if (type == LOWER)
+ return Parma_Polyhedra_Library::is_plus_infinity(x);
+ else
+ return Parma_Polyhedra_Library::is_minus_infinity(x);
+}
+
+template <typename T, typename Info>
+inline bool
+is_minus_infinity(Boundary_Type type, const T& x, const Info& info) {
+ if (type == LOWER) {
+ if (Info::store_special)
+ return info.get_boundary_property(type, SPECIAL);
+ else
+ return normal_is_boundary_infinity(type, x, info);
+ }
+ else
+ return !Info::store_special && normal_is_reverse_infinity(type, x, info);
+}
+
+template <typename T, typename Info>
+inline bool
+is_plus_infinity(Boundary_Type type, const T& x, const Info& info) {
+ if (type == UPPER) {
+ if (Info::store_special)
+ return info.get_boundary_property(type, SPECIAL);
+ else
+ return normal_is_boundary_infinity(type, x, info);
+ }
+ else
+ return !Info::store_special && normal_is_reverse_infinity(type, x, info);
+}
+
+template <typename T, typename Info>
+inline bool
+is_reverse_infinity(Boundary_Type type, const T& x, const Info& info) {
+ return normal_is_reverse_infinity(type, x, info);
+}
+
+template <typename T, typename Info>
+inline int
+infinity_sign(Boundary_Type type, const T& x, const Info& info) {
+ if (is_boundary_infinity(type, x, info))
+ return (type == LOWER) ? -1 : 1;
+ else if (is_reverse_infinity(type, x, info))
+ return (type == UPPER) ? -1 : 1;
+ else
+ return 0;
+}
+
+template <typename T, typename Info>
+inline bool
+is_boundary_infinity_closed(Boundary_Type type, const T& x, const Info& info) {
+ return Info::may_contain_infinity
+ && !info.get_boundary_property(type, OPEN)
+ && is_boundary_infinity(type, x, info);
+}
+
+template <typename Info>
+inline bool
+boundary_infinity_is_open(Boundary_Type type, const Info& info) {
+ return !Info::may_contain_infinity
+ || info.get_boundary_property(type, OPEN);
+}
+
+template <typename T, typename Info>
+inline int
+sgn_b(Boundary_Type type, const T& x, const Info& info) {
+ if (info.get_boundary_property(type, SPECIAL))
+ return (type == LOWER) ? -1 : 1;
+ else
+ // The following Parma_Polyhedra_Library:: qualification is to work
+ // around a bug of GCC 4.0.x.
+ return Parma_Polyhedra_Library::sgn(x);
+}
+
+template <typename T, typename Info>
+inline int
+sgn(Boundary_Type type, const T& x, const Info& info) {
+ int sign = sgn_b(type, x, info);
+ if (x == 0 && info.get_boundary_property(type, OPEN))
+ return (type == LOWER) ? -1 : 1;
+ else
+ return sign;
+}
+
+template <typename T1, typename Info1, typename T2, typename Info2>
+inline bool
+eq(Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ if (type1 == type2) {
+ if (is_open(type1, x1, info1)
+ != is_open(type2, x2, info2))
+ return false;
+ }
+ else if (is_open(type1, x1, info1)
+ || is_open(type2, x2, info2))
+ return false;
+ if (is_minus_infinity(type1, x1, info1))
+ return is_minus_infinity(type2, x2, info2);
+ else if (is_plus_infinity(type1, x1, info1))
+ return is_plus_infinity(type2, x2, info2);
+ else if (is_minus_infinity(type2, x2, info2)
+ || is_plus_infinity(type2, x2, info2))
+ return false;
+ else
+ return equal(x1, x2);
+}
+
+template <typename T1, typename Info1, typename T2, typename Info2>
+inline bool
+lt(Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ if (is_open(type1, x1, info1)) {
+ if (type1 == UPPER
+ && (type2 == LOWER
+ || !is_open(type2, x2, info2)))
+ goto le;
+ }
+ else if (type2 == LOWER
+ && is_open(type2, x2, info2)) {
+ le:
+ if (is_minus_infinity(type1, x1, info1)
+ || is_plus_infinity(type2, x2, info2))
+ return true;
+ if (is_plus_infinity(type1, x1, info1)
+ || is_minus_infinity(type2, x2, info2))
+ return false;
+ else
+ return less_or_equal(x1, x2);
+ }
+ if (is_plus_infinity(type1, x1, info1)
+ || is_minus_infinity(type2, x2, info2))
+ return false;
+ if (is_minus_infinity(type1, x1, info1)
+ || is_plus_infinity(type2, x2, info2))
+ return true;
+ else
+ return less_than(x1, x2);
+}
+
+template <typename T1, typename Info1, typename T2, typename Info2>
+inline bool
+gt(Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ return lt(type2, x2, info2, type1, x1, info1);
+}
+
+template <typename T1, typename Info1, typename T2, typename Info2>
+inline bool
+le(Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ return !gt(type1, x1, info1, type2, x2, info2);
+}
+
+template <typename T1, typename Info1, typename T2, typename Info2>
+inline bool
+ge(Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ return !lt(type1, x1, info1, type2, x2, info2);
+}
+
+template <typename T, typename Info>
+inline Result
+adjust_boundary(Boundary_Type type, T& x, Info& info,
+ bool open, Result r) {
+ r = result_relation_class(r);
+ if (type == LOWER) {
+ switch (r) {
+ case V_GT_MINUS_INFINITY:
+ open = true;
+ /* Fall through */
+ case V_EQ_MINUS_INFINITY:
+ if (!Info::store_special)
+ return r;
+ if (open)
+ info.set_boundary_property(type, OPEN);
+ return special_set_boundary_infinity(type, x, info);
+ case V_GT:
+ open = true;
+ /* Fall through */
+ case V_GE:
+ case V_EQ:
+ if (open)
+ info.set_boundary_property(type, OPEN);
+ return r;
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN;
+ }
+ }
+ else {
+ switch (r) {
+ case V_LT_PLUS_INFINITY:
+ open = true;
+ /* Fall through */
+ case V_EQ_PLUS_INFINITY:
+ if (!Info::store_special)
+ return r;
+ if (open)
+ info.set_boundary_property(type, OPEN);
+ return special_set_boundary_infinity(type, x, info);
+ case V_LT:
+ open = true;
+ /* Fall through */
+ case V_LE:
+ case V_EQ:
+ if (open)
+ info.set_boundary_property(type, OPEN);
+ return r;
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN;
+ }
+ }
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+complement(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info) {
+ PPL_ASSERT(to_type != type);
+ bool should_shrink;
+ if (info.get_boundary_property(type, SPECIAL)) {
+ should_shrink = !special_is_open(type, x, info);
+ if (type == LOWER)
+ return set_minus_infinity(to_type, to, to_info, should_shrink);
+ else
+ return set_plus_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = !normal_is_open(type, x, info);
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ Result r = assign_r(to, x, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info,
+ bool should_shrink = false) {
+ PPL_ASSERT(to_type == type);
+ if (info.get_boundary_property(type, SPECIAL)) {
+ should_shrink = (should_shrink || special_is_open(type, x, info));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = (should_shrink || normal_is_open(type, x, info));
+ const bool check
+ = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ const Result r = assign_r(to, x, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info) {
+ if (lt(type, x, info, to_type, to, to_info)) {
+ to_info.clear_boundary_properties(to_type);
+ return assign(to_type, to, to_info, type, x, info);
+ }
+ return V_EQ;
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ if (lt(type1, x1, info1, type2, x2, info2))
+ return assign(to_type, to, to_info, type1, x1, info1);
+ else
+ return assign(to_type, to, to_info, type2, x2, info2);
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info) {
+ if (gt(type, x, info, to_type, to, to_info)) {
+ to_info.clear_boundary_properties(to_type);
+ return assign(to_type, to, to_info, type, x, info);
+ }
+ return V_EQ;
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ if (gt(type1, x1, info1, type2, x2, info2))
+ return assign(to_type, to, to_info, type1, x1, info1);
+ else
+ return assign(to_type, to, to_info, type2, x2, info2);
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+neg_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info) {
+ PPL_ASSERT(to_type != type);
+ bool should_shrink;
+ if (info.get_boundary_property(type, SPECIAL)) {
+ should_shrink = special_is_open(type, x, info);
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = normal_is_open(type, x, info);
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ Result r = neg_assign_r(to, x, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+add_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ PPL_ASSERT(type1 == type2);
+ bool should_shrink;
+ if (is_boundary_infinity(type1, x1, info1)) {
+ should_shrink = (boundary_infinity_is_open(type1, info1)
+ && !is_boundary_infinity_closed(type2, x2, info2));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ else if (is_boundary_infinity(type2, x2, info2)) {
+ should_shrink = (boundary_infinity_is_open(type2, info2)
+ && !is_boundary_infinity_closed(type1, x1, info1));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = (normal_is_open(type1, x1, info1)
+ || normal_is_open(type2, x2, info2));
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ // FIXME: extended handling is not needed
+ Result r = add_assign_r(to, x1, x2, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+sub_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ PPL_ASSERT(type1 != type2);
+ bool should_shrink;
+ if (is_boundary_infinity(type1, x1, info1)) {
+ should_shrink = (boundary_infinity_is_open(type1, info1)
+ && !is_boundary_infinity_closed(type2, x2, info2));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ else if (is_boundary_infinity(type2, x2, info2)) {
+ should_shrink = (boundary_infinity_is_open(type2, info2)
+ && !is_boundary_infinity_closed(type1, x1, info1));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = (normal_is_open(type1, x1, info1)
+ || normal_is_open(type2, x2, info2));
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ // FIXME: extended handling is not needed
+ Result r = sub_assign_r(to, x1, x2, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+mul_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ bool should_shrink;
+ if (is_boundary_infinity(type1, x1, info1)) {
+ should_shrink = (boundary_infinity_is_open(type1, info1)
+ && !is_boundary_infinity_closed(type2, x2, info2));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ else if (is_boundary_infinity(type2, x2, info2)) {
+ should_shrink = (boundary_infinity_is_open(type2, info2)
+ && !is_boundary_infinity_closed(type1, x1, info1));
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = (normal_is_open(type1, x1, info1)
+ || normal_is_open(type2, x2, info2));
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ PPL_ASSERT(x1 != Constant<0>::value && x2 != Constant<0>::value);
+ // FIXME: extended handling is not needed
+ Result r = mul_assign_r(to, x1, x2, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info>
+inline Result
+set_zero(Boundary_Type to_type, To& to, To_Info& to_info, bool should_shrink) {
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ Result r = assign_r(to, Constant<0>::value, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+mul_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
+ Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
+ bool should_shrink;
+ if (x1s != 0) {
+ if (x2s != 0)
+ return mul_assign(to_type, to, to_info,
+ type1, x1, info1,
+ type2, x2, info2);
+ else
+ should_shrink = info2.get_boundary_property(type2, OPEN);
+ }
+ else {
+ should_shrink = (info1.get_boundary_property(type1, OPEN)
+ && (x2s != 0 || info2.get_boundary_property(type2, OPEN)));
+ }
+ return set_zero(to_type, to, to_info, should_shrink);
+}
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+div_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
+ bool should_shrink;
+ if (is_boundary_infinity(type1, x1, info1)) {
+ should_shrink = boundary_infinity_is_open(type1, info1);
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ else if (is_boundary_infinity(type2, x2, info2)) {
+ should_shrink = boundary_infinity_is_open(type2, info2);
+ return set_zero(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = (normal_is_open(type1, x1, info1)
+ || normal_is_open(type2, x2, info2));
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ PPL_ASSERT(x1 != Constant<0>::value && x2 != Constant<0>::value);
+ // FIXME: extended handling is not needed
+ Result r = div_assign_r(to, x1, x2, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+
+template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
+inline Result
+div_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
+ Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
+ if (x1s != 0) {
+ if (x2s != 0)
+ return div_assign(to_type, to, to_info,
+ type1, x1, info1,
+ type2, x2, info2);
+ else {
+ return set_boundary_infinity(to_type, to, to_info, true);
+ }
+ }
+ else {
+ bool should_shrink = info1.get_boundary_property(type1, OPEN)
+ && !is_boundary_infinity_closed(type2, x2, info2);
+ return set_zero(to_type, to, to_info, should_shrink);
+ }
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+umod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info,
+ unsigned int exp) {
+ PPL_ASSERT(to_type == type);
+ bool should_shrink;
+ if (is_boundary_infinity(type, x, info)) {
+ should_shrink = boundary_infinity_is_open(type, info);
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = normal_is_open(type, x, info);
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ Result r = umod_2exp_assign_r(to, x, exp, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+template <typename To, typename To_Info, typename T, typename Info>
+inline Result
+smod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
+ Boundary_Type type, const T& x, const Info& info,
+ unsigned int exp) {
+ PPL_ASSERT(to_type == type);
+ bool should_shrink;
+ if (is_boundary_infinity(type, x, info)) {
+ should_shrink = boundary_infinity_is_open(type, info);
+ return set_boundary_infinity(to_type, to, to_info, should_shrink);
+ }
+ should_shrink = normal_is_open(type, x, info);
+ bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ Result r = smod_2exp_assign_r(to, x, exp, round_dir_check(to_type, check));
+ return adjust_boundary(to_type, to, to_info, should_shrink, r);
+}
+
+} // namespace Boundary_NS
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Boundary_defs_hh)
diff --git a/src/Box.cc b/src/Box.cc
index aaa1462..07ca2ab 100644
--- a/src/Box.cc
+++ b/src/Box.cc
@@ -1,6 +1,6 @@
/* Box class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Box.defs.hh"
+#include "Box_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
diff --git a/src/Box.defs.hh b/src/Box.defs.hh
deleted file mode 100644
index c8d667f..0000000
--- a/src/Box.defs.hh
+++ /dev/null
@@ -1,2286 +0,0 @@
-/* Box class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Box_defs_hh
-#define PPL_Box_defs_hh 1
-
-#include "Box.types.hh"
-#include "globals.types.hh"
-#include "Coefficient.defs.hh"
-#include "Variable.types.hh"
-#include "Variables_Set.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint.types.hh"
-#include "Constraint.defs.hh"
-#include "Constraint_System.types.hh"
-#include "Generator.types.hh"
-#include "Generator_System.types.hh"
-#include "Congruence.types.hh"
-#include "Congruence_System.types.hh"
-#include "BD_Shape.types.hh"
-#include "Octagonal_Shape.types.hh"
-#include "Poly_Con_Relation.types.hh"
-#include "Poly_Gen_Relation.types.hh"
-#include "Polyhedron.types.hh"
-#include "Grid.types.hh"
-#include "Partially_Reduced_Product.types.hh"
-#include "intervals.defs.hh"
-#include "Interval.types.hh"
-#include "Linear_Form.types.hh"
-#include <vector>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-struct Interval_Base;
-
-//! Swaps \p x with \p y.
-/*! \relates Box */
-template <typename ITV>
-void swap(Box<ITV>& x, Box<ITV>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are the same box.
-/*! \relates Box
- Note that \p x and \p y may be dimension-incompatible boxes:
- in this case, the value <CODE>false</CODE> is returned.
-*/
-template <typename ITV>
-bool operator==(const Box<ITV>& x, const Box<ITV>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are not the same box.
-/*! \relates Box
- Note that \p x and \p y may be dimension-incompatible boxes:
- in this case, the value <CODE>true</CODE> is returned.
-*/
-template <typename ITV>
-bool operator!=(const Box<ITV>& x, const Box<ITV>& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Box */
-template <typename ITV>
-std::ostream& operator<<(std::ostream& s, const Box<ITV>& box);
-
-} // namespace IO_Operators
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Box
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename ITV>
-bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Box
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename ITV>
-bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Box
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename ITV>
-bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Box
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename ITV>
-bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Box
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename ITV>
-bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Box
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename ITV>
-bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Box
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename ITV>
-bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Box
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename ITV>
-bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Box
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename ITV>
-bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Box
- Helper function for computing distances.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Specialization,
- typename Temp, typename To, typename ITV>
-bool
-l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x, const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A not necessarily closed, iso-oriented hyperrectangle.
-/*! \ingroup PPL_CXX_interface
- A Box object represents the smash product of \f$n\f$
- not necessarily closed and possibly unbounded intervals
- represented by objects of class \p ITV,
- where \f$n\f$ is the space dimension of the box.
-
- An <EM>interval constraint</EM> (resp., <EM>interval congruence</EM>)
- is a syntactic constraint (resp., congruence) that only mentions
- a single space dimension.
-
- The Box domain <EM>optimally supports</EM>:
- - tautological and inconsistent constraints and congruences;
- - the interval constraints that are optimally supported by
- the template argument class \c ITV;
- - the interval congruences that are optimally supported by
- the template argument class \c ITV.
-
- Depending on the method, using a constraint or congruence that is not
- optimally supported by the domain will either raise an exception or
- result in a (possibly non-optimal) upward approximation.
-
- The user interface for the Box domain is meant to be as similar
- as possible to the one developed for the polyhedron class C_Polyhedron.
-*/
-template <typename ITV>
-class Parma_Polyhedra_Library::Box {
-public:
- //! The type of intervals used to implement the box.
- typedef ITV interval_type;
-
- //! Returns the maximum space dimension that a Box can handle.
- static dimension_type max_space_dimension();
-
- /*! \brief
- Returns false indicating that this domain does not recycle constraints
- */
- static bool can_recycle_constraint_systems();
-
- /*! \brief
- Returns false indicating that this domain does not recycle congruences
- */
- static bool can_recycle_congruence_systems();
-
- //! \name Constructors, Assignment, Swap and Destructor
- //@{
-
- //! Builds a universe or empty box of the specified space dimension.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the box;
-
- \param kind
- Specifies whether the universe or the empty box has to be built.
- */
- explicit Box(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- Box(const Box& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a conservative, upward approximation of \p y.
- /*!
- The complexity argument is ignored.
- */
- template <typename Other_ITV>
- explicit Box(const Box<Other_ITV>& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a box from the system of constraints \p cs.
- /*!
- The box inherits the space dimension of \p cs.
-
- \param cs
- A system of constraints: constraints that are not
- \ref intervals "interval constraints"
- are ignored (even though they may have contributed
- to the space dimension).
- */
- explicit Box(const Constraint_System& cs);
-
- //! Builds a box recycling a system of constraints \p cs.
- /*!
- The box inherits the space dimension of \p cs.
-
- \param cs
- A system of constraints: constraints that are not
- \ref intervals "interval constraints"
- are ignored (even though they may have contributed
- to the space dimension).
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
- */
- Box(const Constraint_System& cs, Recycle_Input dummy);
-
- //! Builds a box from the system of generators \p gs.
- /*!
- Builds the smallest box containing the polyhedron defined by \p gs.
- The box inherits the space dimension of \p gs.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
- */
- explicit Box(const Generator_System& gs);
-
- //! Builds a box recycling the system of generators \p gs.
- /*!
- Builds the smallest box containing the polyhedron defined by \p gs.
- The box inherits the space dimension of \p gs.
-
- \param gs
- The generator system describing the polyhedron to be approximated.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
- */
- Box(const Generator_System& gs, Recycle_Input dummy);
-
- /*!
- Builds the smallest box containing the grid defined by a
- system of congruences \p cgs.
- The box inherits the space dimension of \p cgs.
-
- \param cgs
- A system of congruences: congruences that are not
- non-relational equality constraints are ignored
- (though they may have contributed to the space dimension).
- */
- explicit Box(const Congruence_System& cgs);
-
- /*!
- Builds the smallest box containing the grid defined by a
- system of congruences \p cgs, recycling \p cgs.
- The box inherits the space dimension of \p cgs.
-
- \param cgs
- A system of congruences: congruences that are not
- non-relational equality constraints are ignored
- (though they will contribute to the space dimension).
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
- */
- Box(const Congruence_System& cgs, Recycle_Input dummy);
-
- //! Builds a box containing the BDS \p bds.
- /*!
- Builds the smallest box containing \p bds using a polynomial algorithm.
- The \p complexity argument is ignored.
- */
- template <typename T>
- explicit Box(const BD_Shape<T>& bds,
- Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
-
- //! Builds a box containing the octagonal shape \p oct.
- /*!
- Builds the smallest box containing \p oct using a polynomial algorithm.
- The \p complexity argument is ignored.
- */
- template <typename T>
- explicit Box(const Octagonal_Shape<T>& oct,
- Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
-
- //! Builds a box containing the polyhedron \p ph.
- /*!
- Builds a box containing \p ph using algorithms whose complexity
- does not exceed the one specified by \p complexity. If
- \p complexity is \p ANY_COMPLEXITY, then the built box is the
- smallest one containing \p ph.
- */
- explicit Box(const Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a box containing the grid \p gr.
- /*!
- Builds the smallest box containing \p gr using a polynomial algorithm.
- The \p complexity argument is ignored.
- */
- explicit Box(const Grid& gr,
- Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
-
- //! Builds a box containing the partially reduced product \p dp.
- /*!
- Builds a box containing \p ph using algorithms whose complexity
- does not exceed the one specified by \p complexity.
- */
- template <typename D1, typename D2, typename R>
- explicit Box(const Partially_Reduced_Product<D1, D2, R>& dp,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator
- (\p *this and \p y can be dimension-incompatible).
- */
- Box& operator=(const Box& y);
-
- /*! \brief
- Swaps \p *this with \p y
- (\p *this and \p y can be dimension-incompatible).
- */
- void m_swap(Box& y);
-
- //@} Constructors, Assignment, Swap and Destructor
-
- //! \name Member Functions that Do Not Modify the Box
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns \f$0\f$, if \p *this is empty; otherwise, returns the
- \ref Affine_Independence_and_Affine_Dimension "affine dimension"
- of \p *this.
- */
- dimension_type affine_dimension() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is an empty box.
- bool is_empty() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a universe box.
- bool is_universe() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a topologically closed subset of the vector space.
- */
- bool is_topologically_closed() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
- bool is_discrete() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a bounded box.
- bool is_bounded() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains at least one integer point.
- */
- bool contains_integer_point() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- bool constrains(Variable var) const;
-
- //! Returns the relations holding between \p *this and the constraint \p c.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- //! Returns the relations holding between \p *this and the congruence \p cg.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p cg are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- //! Returns the relations holding between \p *this and the generator \p g.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- Poly_Gen_Relation relation_with(const Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from above in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from below in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d
- and \p maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value;
-
- \param g
- When maximization succeeds, will be assigned the point or
- closure point where \p expr reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p g are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value;
-
- \param g
- When minimization succeeds, will be assigned a point or
- closure point where \p expr reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p g are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if there exist a
- unique value \p val such that \p *this
- saturates the equality <CODE>expr = val</CODE>.
-
- \param expr
- The linear expression for which the frequency is needed;
-
- \param freq_n
- If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
- Present for interface compatibility with class Grid, where
- the \ref Grid_Frequency "frequency" can have a non-zero value;
-
- \param freq_d
- If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
-
- \param val_n
- The numerator of \p val;
-
- \param val_d
- The denominator of \p val;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
- \p val_n and \p val_d are left untouched.
- */
- bool frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this contains \p y.
-
- \exception std::invalid_argument
- Thrown if \p x and \p y are dimension-incompatible.
- */
- bool contains(const Box& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
-
- \exception std::invalid_argument
- Thrown if \p x and \p y are dimension-incompatible.
- */
- bool strictly_contains(const Box& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
-
- \exception std::invalid_argument
- Thrown if \p x and \p y are dimension-incompatible.
- */
- bool is_disjoint_from(const Box& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this satisfies
- all its invariants.
- */
- bool OK() const;
-
- //@} Member Functions that Do Not Modify the Box
-
- //! \name Space-Dimension Preserving Member Functions that May Modify the Box
- //@{
-
- /*! \brief
- Adds a copy of constraint \p c to the system of constraints
- defining \p *this.
-
- \param c
- The constraint to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible,
- or \p c is not optimally supported by the Box domain.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds the constraints in \p cs to the system of constraints
- defining \p *this.
-
- \param cs
- The constraints to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible,
- or \p cs contains a constraint which is not optimally supported
- by the box domain.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Adds the constraints in \p cs to the system of constraints
- defining \p *this.
-
- \param cs
- The constraints to be added. They may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible,
- or \p cs contains a constraint which is not optimally supported
- by the box domain.
-
- \warning
- The only assumption that can be made on \p cs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_constraints(Constraint_System& cs);
-
- /*! \brief
- Adds to \p *this a constraint equivalent to the congruence \p cg.
-
- \param cg
- The congruence to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible,
- or \p cg is not optimally supported by the box domain.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Adds to \p *this constraints equivalent to the congruences in \p cgs.
-
- \param cgs
- The congruences to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- or \p cgs contains a congruence which is not optimally supported
- by the box domain.
- */
- void add_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Adds to \p *this constraints equivalent to the congruences in \p cgs.
-
- \param cgs
- The congruence system to be added to \p *this. The congruences in
- \p cgs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- or \p cgs contains a congruence which is not optimally supported
- by the box domain.
-
- \warning
- The only assumption that can be made on \p cgs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_congruences(Congruence_System& cgs);
-
- /*! \brief
- Use the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- /*! \brief
- Use the constraints in \p cs to refine \p *this.
-
- \param cs
- The constraints to be used for refinement.
- To avoid termination problems, each constraint in \p cs
- will be used for a single refinement step.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
-
- \note
- The user is warned that the accuracy of this refinement operator
- depends on the order of evaluation of the constraints in \p cs,
- which is in general unpredictable. If a fine control on such an
- order is needed, the user should consider calling the method
- <code>refine_with_constraint(const Constraint& c)</code> inside
- an appropriate looping construct.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- /*! \brief
- Use the congruence \p cg to refine \p *this.
-
- \param cg
- The congruence to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- /*! \brief
- Use the congruences in \p cgs to refine \p *this.
-
- \param cgs
- The congruences to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Use the constraint \p c for constraint propagation on \p *this.
-
- \param c
- The constraint to be used for constraint propagation.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible.
- */
- void propagate_constraint(const Constraint& c);
-
- /*! \brief
- Use the constraints in \p cs for constraint propagation on \p *this.
-
- \param cs
- The constraints to be used for constraint propagation.
-
- \param max_iterations
- The maximum number of propagation steps for each constraint in
- \p cs. If zero (the default), the number of propagation steps
- will be unbounded, possibly resulting in an infinite loop.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
-
- \warning
- This method may lead to non-termination if \p max_iterations is 0.
- */
- void propagate_constraints(const Constraint_System& cs,
- dimension_type max_iterations = 0);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- //! Assigns to \p *this the intersection of \p *this and \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void intersection_assign(const Box& y);
-
- /*! \brief
- Assigns to \p *this the smallest box containing the union
- of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void upper_bound_assign(const Box& y);
-
- /*! \brief
- If the upper bound of \p *this and \p y is exact, it is assigned
- to \p *this and <CODE>true</CODE> is returned,
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool upper_bound_assign_if_exact(const Box& y);
-
- /*! \brief
- Assigns to \p *this the difference of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void difference_assign(const Box& y);
-
- /*! \brief
- Assigns to \p *this a \ref Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
- If \c false is returned, then the intersection is empty.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool simplify_using_context_assign(const Box& y);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine image"
- of \p *this under the function mapping variable \p var to the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of
- \p *this.
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- // FIXME: To be completed.
- /*! \brief
- Assigns to \p *this the \ref affine_form_relation "affine form image"
- of \p *this under the function mapping variable \p var into the
- affine expression(s) specified by \p lf.
-
- \param var
- The variable to which the affine expression is assigned.
-
- \param lf
- The linear form on intervals with floating point boundaries that
- defines the affine expression(s). ALL of its coefficients MUST be bounded.
-
- \exception std::invalid_argument
- Thrown if \p lf and \p *this are dimension-incompatible or if \p var
- is not a dimension of \p *this.
-
- This function is used in abstract interpretation to model an assignment
- of a value that is correctly overapproximated by \p lf to the
- floating point variable represented by \p var.
- */
- void affine_form_image(Variable var,
- const Linear_Form<ITV>& lf);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine preimage"
- of \p *this under the function mapping variable \p var to the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is substituted;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this.
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this.
- */
- void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this.
- */
- void
- generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs.
- */
- void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs.
- */
- void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void time_elapse_assign(const Box& y);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- /*! \brief
- \ref Wrapping_Operator "Wraps" the specified dimensions of the
- vector space.
-
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be wrapped.
-
- \param w
- The width of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param r
- The representation of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param o
- The overflow behavior of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param cs_p
- Possibly null pointer to a constraint system. When non-null,
- the pointed-to constraint system is assumed to represent the
- conditional or looping construct guard with respect to which
- wrapping is performed. Since wrapping requires the computation
- of upper bounds and due to non-distributivity of constraint
- refinement over upper bounds, passing a constraint system in this
- way can be more precise than refining the result of the wrapping
- operation with the constraints in <CODE>*cs_p</CODE>.
-
- \param complexity_threshold
- A precision parameter which is ignored for the Box domain.
-
- \param wrap_individually
- A precision parameter which is ignored for the Box domain.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars or with <CODE>*cs_p</CODE>.
- */
- void wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p = 0,
- unsigned complexity_threshold = 16,
- bool wrap_individually = true);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref CC76_extrapolation "CC76-widening" between \p *this and \p y.
-
- \param y
- A box that <EM>must</EM> be contained in \p *this.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- template <typename T>
- typename Enable_If<Is_Same<T, Box>::value
- && Is_Same_Or_Derived<Interval_Base, ITV>::value,
- void>::type
- CC76_widening_assign(const T& y, unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref CC76_extrapolation "CC76-widening" between \p *this and \p y.
-
- \param y
- A box that <EM>must</EM> be contained in \p *this.
-
- \param first
- An iterator that points to the first stop-point.
-
- \param last
- An iterator that points one past the last stop-point.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- template <typename T, typename Iterator>
- typename Enable_If<Is_Same<T, Box>::value
- && Is_Same_Or_Derived<Interval_Base, ITV>::value,
- void>::type
- CC76_widening_assign(const T& y,
- Iterator first, Iterator last);
-
- //! Same as CC76_widening_assign(y, tp).
- void widening_assign(const Box& y, unsigned* tp = 0);
-
- /*! \brief
- Improves the result of the \ref CC76_extrapolation "CC76-extrapolation"
- computation by also enforcing those constraints in \p cs that are
- satisfied by all the points of \p *this.
-
- \param y
- A box that <EM>must</EM> be contained in \p *this.
-
- \param cs
- The system of constraints used to improve the widened box.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are dimension-incompatible or
- if \p cs contains a strict inequality.
- */
- void limited_CC76_extrapolation_assign(const Box& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of restoring in \p y the constraints
- of \p *this that were lost by
- \ref CC76_extrapolation "CC76-extrapolation" applications.
-
- \param y
- A Box that <EM>must</EM> contain \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \note
- As was the case for widening operators, the argument \p y is meant to
- denote the value computed in the previous iteration step, whereas
- \p *this denotes the value computed in the current iteration step
- (in the <EM>decreasing</EM> iteration sequence). Hence, the call
- <CODE>x.CC76_narrowing_assign(y)</CODE> will assign to \p x
- the result of the computation \f$\mathtt{y} \Delta \mathtt{x}\f$.
- */
- template <typename T>
- typename Enable_If<Is_Same<T, Box>::value
- && Is_Same_Or_Derived<Interval_Base, ITV>::value,
- void>::type
- CC76_narrowing_assign(const T& y);
-
- //@} Space-Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- //! Adds \p m new dimensions and embeds the old box into the new space.
- /*!
- \param m
- The number of dimensions to add.
-
- The new dimensions will be those having the highest indexes in the new
- box, which is defined by a system of interval constraints in which the
- variables running through the new dimensions are unconstrained.
- For instance, when starting from the box \f$\cB \sseq \Rset^2\f$
- and adding a third dimension, the result will be the box
- \f[
- \bigl\{\,
- (x, y, z)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cB
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Adds \p m new dimensions to the box and does not embed it in
- the new vector space.
-
- \param m
- The number of dimensions to add.
-
- The new dimensions will be those having the highest indexes in the
- new box, which is defined by a system of bounded differences in
- which the variables running through the new dimensions are all
- constrained to be equal to 0.
- For instance, when starting from the box \f$\cB \sseq \Rset^2\f$
- and adding a third dimension, the result will be the box
- \f[
- \bigl\{\,
- (x, y, 0)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cB
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- /*! \brief
- Seeing a box as a set of tuples (its points),
- assigns to \p *this all the tuples that can be obtained by concatenating,
- in the order given, a tuple of \p *this with a tuple of \p y.
-
- Let \f$B \sseq \Rset^n\f$ and \f$D \sseq \Rset^m\f$ be the boxes
- corresponding, on entry, to \p *this and \p y, respectively.
- Upon successful completion, \p *this will represent the box
- \f$R \sseq \Rset^{n+m}\f$ such that
- \f[
- R \defeq
- \Bigl\{\,
- (x_1, \ldots, x_n, y_1, \ldots, y_m)^\transpose
- \Bigm|
- (x_1, \ldots, x_n)^\transpose \in B,
- (y_1, \ldots, y_m)^\transpose \in D
- \,\Bigl\}.
- \f]
- Another way of seeing it is as follows: first increases the space
- dimension of \p *this by adding \p y.space_dimension() new
- dimensions; then adds to the system of constraints of \p *this a
- renamed-apart version of the constraints of \p y.
- */
- void concatenate_assign(const Box& y);
-
- //! Removes all the specified dimensions.
- /*!
- \param vars
- The set of Variable objects corresponding to the dimensions to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the Variable
- objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher dimensions so that the resulting space
- will have dimension \p new_dimension.
-
- \exception std::invalid_argument
- Thrown if \p new_dimension is greater than the space dimension
- of \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
-
- \param pfunc
- The partial function specifying the destiny of each dimension.
-
- The template type parameter Partial_Function must provide
- the following methods.
- \code
- bool has_empty_codomain() const
- \endcode
- returns <CODE>true</CODE> if and only if the represented partial
- function has an empty co-domain (i.e., it is always undefined).
- The <CODE>has_empty_codomain()</CODE> method will always be called
- before the methods below. However, if
- <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
- of the functions below will be called.
- \code
- dimension_type max_in_codomain() const
- \endcode
- returns the maximum value that belongs to the co-domain
- of the partial function.
- \code
- bool maps(dimension_type i, dimension_type& j) const
- \endcode
- Let \f$f\f$ be the represented function and \f$k\f$ be the value
- of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
- assigned to \p j and <CODE>true</CODE> is returned.
- If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
- returned.
-
- The result is undefined if \p pfunc does not encode a partial
- function with the properties described in the
- \ref Mapping_the_Dimensions_of_the_Vector_Space
- "specification of the mapping operator".
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref expand_space_dimension "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars.
- Also thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are \ref fold_space_dimensions "folded"
- into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
- /*! \brief
- Returns a reference the interval that bounds \p var.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- const ITV& get_interval(Variable var) const;
-
- /*! \brief
- Sets to \p i the interval that bounds \p var.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void set_interval(Variable var, const ITV& i);
-
- /*! \brief
- If the space dimension of \p var is unbounded below, return
- <CODE>false</CODE>. Otherwise return <CODE>true</CODE> and set
- \p n, \p d and \p closed accordingly.
-
- \note
- It is assumed that <CODE>*this</CODE> is a non-empty box
- having space dimension greater than or equal to that of \p var.
- An undefined behavior is obtained if this assumption is not met.
- \if Include_Implementation_Details
- To be more precise, if <CODE>*this</CODE> is an <EM>empty</EM> box
- (having space dimension greater than or equal to that of \p var)
- such that <CODE>!marked_empty()</CODE> holds, then the method can be
- called without incurring in undefined behavior: it will return
- <EM>unspecified</EM> boundary values that, if queried systematically
- on all space dimensions, will encode the box emptiness.
- \endif
-
- Let \f$I\f$ be the interval corresponding to variable \p var
- in the non-empty box <CODE>*this</CODE>.
- If \f$I\f$ is not bounded from below, simply return <CODE>false</CODE>
- (leaving all other parameters unchanged).
- Otherwise, set \p n, \p d and \p closed as follows:
- - \p n and \p d are assigned the integers \f$n\f$ and \f$d\f$ such
- that the fraction \f$n/d\f$ corresponds to the greatest lower bound
- of \f$I\f$. The fraction \f$n/d\f$ is in canonical form, meaning
- that \f$n\f$ and \f$d\f$ have no common factors, \f$d\f$ is positive,
- and if \f$n\f$ is zero then \f$d\f$ is one;
- - \p closed is set to <CODE>true</CODE> if and only if the lower
- boundary of \f$I\f$ is closed (i.e., it is included in the interval).
- */
- bool has_lower_bound(Variable var,
- Coefficient& n, Coefficient& d, bool& closed) const;
-
- /*! \brief
- If the space dimension of \p var is unbounded above, return
- <CODE>false</CODE>. Otherwise return <CODE>true</CODE> and set
- \p n, \p d and \p closed accordingly.
-
- \note
- It is assumed that <CODE>*this</CODE> is a non-empty box
- having space dimension greater than or equal to that of \p var.
- An undefined behavior is obtained if this assumption is not met.
- \if Include_Implementation_Details
- To be more precise, if <CODE>*this</CODE> is an <EM>empty</EM> box
- (having space dimension greater than or equal to that of \p var)
- such that <CODE>!marked_empty()</CODE> holds, then the method can be
- called without incurring in undefined behavior: it will return
- <EM>unspecified</EM> boundary values that, if queried systematically
- on all space dimensions, will encode the box emptiness.
- \endif
-
- Let \f$I\f$ be the interval corresponding to variable \p var
- in the non-empty box <CODE>*this</CODE>.
- If \f$I\f$ is not bounded from above, simply return <CODE>false</CODE>
- (leaving all other parameters unchanged).
- Otherwise, set \p n, \p d and \p closed as follows:
- - \p n and \p d are assigned the integers \f$n\f$ and \f$d\f$ such
- that the fraction \f$n/d\f$ corresponds to the least upper bound
- of \f$I\f$. The fraction \f$n/d\f$ is in canonical form, meaning
- that \f$n\f$ and \f$d\f$ have no common factors, \f$d\f$ is positive,
- and if \f$n\f$ is zero then \f$d\f$ is one;
- - \p closed is set to <CODE>true</CODE> if and only if the upper
- boundary of \f$I\f$ is closed (i.e., it is included in the interval).
- */
- bool has_upper_bound(Variable var,
- Coefficient& n, Coefficient& d, bool& closed) const;
-
- //! Returns a system of constraints defining \p *this.
- Constraint_System constraints() const;
-
- //! Returns a minimized system of constraints defining \p *this.
- Constraint_System minimized_constraints() const;
-
- //! Returns a system of congruences approximating \p *this.
- Congruence_System congruences() const;
-
- //! Returns a minimized system of congruences approximating \p *this.
- Congruence_System minimized_congruences() const;
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If <CODE>x</CODE> and <CODE>y</CODE> are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- PPL_OUTPUT_DECLARATIONS
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool ascii_load(std::istream& s);
-
-private:
- template <typename Other_ITV>
- friend class Parma_Polyhedra_Library::Box;
-
- friend bool
- operator==<ITV>(const Box<ITV>& x, const Box<ITV>& y);
-
- friend std::ostream&
- Parma_Polyhedra_Library
- ::IO_Operators::operator<<<>(std::ostream& s, const Box<ITV>& box);
-
- template <typename Specialization, typename Temp, typename To, typename I>
- friend bool Parma_Polyhedra_Library::l_m_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const Box<I>& x, const Box<I>& y, const Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2);
-
- //! The type of sequence used to implement the box.
- typedef std::vector<ITV> Sequence;
-
- /*! \brief
- The type of intervals used by inner computations when trying to limit
- the cumulative effect of approximation errors.
- */
- typedef ITV Tmp_Interval_Type;
-
- //! A sequence of intervals, one for each dimension of the vector space.
- Sequence seq;
-
-#define PPL_IN_Box_CLASS
-#include "Box_Status.idefs.hh"
-#undef PPL_IN_Box_CLASS
-
- //! The status flags to keep track of the internal state.
- Status status;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the box is known to be empty.
-
- The return value <CODE>false</CODE> does not necessarily
- implies that \p *this is non-empty.
- */
- bool marked_empty() const;
-
-public:
- //! Causes the box to become empty, i.e., to represent the empty set.
- void set_empty();
-
-private:
- //! Marks \p *this as definitely not empty.
- void set_nonempty();
-
- //! Asserts the validity of the empty flag of \p *this.
- void set_empty_up_to_date();
-
- //! Invalidates empty flag of \p *this.
- void reset_empty_up_to_date();
-
- /*! \brief
- Checks the hard way whether \p *this is an empty box:
- returns <CODE>true</CODE> if and only if it is so.
- */
- bool check_empty() const;
-
- /*! \brief
- Returns a reference the interval that bounds
- the box on the <CODE>k</CODE>-th space dimension.
- */
- const ITV& operator[](dimension_type k) const;
-
- /*! \brief
- WRITE ME.
- */
- static I_Result
- refine_interval_no_check(ITV& itv,
- Constraint::Type type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom);
-
- /*! \brief
- WRITE ME.
- */
- void
- add_interval_constraint_no_check(dimension_type var_id,
- Constraint::Type type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom);
-
- /*! \brief
- WRITE ME.
- */
- void add_constraint_no_check(const Constraint& c);
-
- /*! \brief
- WRITE ME.
- */
- void add_constraints_no_check(const Constraint_System& cs);
-
- /*! \brief
- WRITE ME.
- */
- void add_congruence_no_check(const Congruence& cg);
-
- /*! \brief
- WRITE ME.
- */
- void add_congruences_no_check(const Congruence_System& cgs);
-
- /*! \brief
- Uses the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be used for the refinement.
-
- \warning
- If \p c and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Constraint& c);
-
- /*! \brief
- Uses the constraints in \p cs to refine \p *this.
-
- \param cs
- The constraints to be used for the refinement.
- To avoid termination problems, each constraint in \p cs
- will be used for a single refinement step.
-
- \warning
- If \p cs and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Constraint_System& cs);
-
- /*! \brief
- Uses the congruence \p cg to refine \p *this.
-
- \param cg
- The congruence to be added.
- Nontrivial proper congruences are ignored.
-
- \warning
- If \p cg and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Congruence& cg);
-
- /*! \brief
- Uses the congruences in \p cgs to refine \p *this.
-
- \param cgs
- The congruences to be added.
- Nontrivial proper congruences are ignored.
-
- \warning
- If \p cgs and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Congruence_System& cgs);
-
- /*! \brief
- Propagates the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be propagated.
-
- \warning
- If \p c and \p *this are dimension-incompatible,
- the behavior is undefined.
-
- \warning
- This method may lead to non-termination.
-
- \if Include_Implementation_Details
-
- For any expression \f$e\f$, we denote by
- \f$\left\uparrow e \right\uparrow\f$ (resp., \f$\left\downarrow e
- \right\downarrow\f$) the result of any computation that is
- guaranteed to yield an upper (resp., lower) approximation of
- \f$e\f$. So there exists \f$\epsilon \in \Rset\f$ with
- \f$\epsilon \geq 0\f$ such that
- \f$\left\uparrow e \right\uparrow = e + \epsilon\f$.
- If \f$\epsilon = 0\f$ we say that the computation of
- \f$\left\uparrow e \right\uparrow\f$ is <EM>exact</EM>;
- we say it is <EM>inexact</EM> otherwise.
- Similarly for \f$\left\downarrow e \right\downarrow\f$.
-
- Consider a constraint of the general form
- \f[
- z + \sum_{i \in I}{a_ix_i} \relsym 0,
- \f]
- where \f$z \in \Zset\f$, \f$I\f$ is a set of indices,
- \f$a_i \in \Zset\f$ with \f$a_i \neq 0\f$ for each \f$i \in I\f$, and
- \f$\mathord{\relsym} \in \{ \mathord{\geq}, \mathord{>}, \mathord{=} \}\f$.
- The set \f$I\f$ is subdivided into the disjoint sets \f$P\f$ and \f$N\f$
- such that, for each \f$i \in I\f$, \f$a_i > 0\f$ if \f$i \in P\f$ and
- \f$a_i < 0\f$ if \f$i \in N\f$.
- Suppose that, for each \f$i \in P \union N\f$ a variation interval
- \f$\chi_i \sseq \Rset\f$ is known for \f$x_i\f$ and that the infimum
- and the supremum of \f$\chi_i\f$ are denoted, respectively,
- by \f$\chi_i^\mathrm{l}\f$ and \f$\chi_i^\mathrm{u}\f$, where
- \f$\chi_i^\mathrm{l}, \chi_i^\mathrm{u} \in \Rset \union \{ -\infty, +\infty \}\f$.
-
- For each \f$k \in P\f$, we have
- \f[
- x_k
- \relsym
- \frac{1}{a_k}
- \Biggl(
- - z
- - \sum_{i \in N}{a_ix_i}
- - \sum_{\genfrac{}{}{0pt}{}
- {\scriptstyle i \in P}
- {\scriptstyle i \neq k}}{a_ix_i}
- \Biggr).
- \f]
- Thus, if \f$\chi_i^\mathrm{l} \in \Rset\f$ for each \f$i \in N\f$ and
- \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in P \setdiff \{ k \}\f$,
- we have
- \f[
- x_k
- \geq
- \Biggl\downarrow
- \frac{1}{a_k}
- \Biggl(
- - z
- - \sum_{i \in N}{a_i\chi_i^\mathrm{l}}
- - \sum_{\genfrac{}{}{0pt}{}
- {\scriptstyle i \in P}
- {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{u}}
- \Biggr)
- \Biggr\downarrow
- \f]
- and, if \f$\mathord{\relsym} \in \{ \mathord{=} \}\f$,
- \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in N\f$ and
- \f$\chi_i^\mathrm{l} \in \Rset\f$ for each \f$P \setdiff \{ k \}\f$,
- \f[
- x_k
- \leq
- \Biggl\uparrow
- \frac{1}{a_k}
- \Biggl(
- - z
- - \sum_{i \in N}{a_i\chi_i^\mathrm{u}}
- - \sum_{\genfrac{}{}{0pt}{}
- {\scriptstyle i \in P}
- {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{l}}
- \Biggr)
- \Biggl\uparrow.
- \f]
- In the first inequality, the relation is strict if
- \f$\mathord{\relsym} \in \{ \mathord{>} \}\f$, or if
- \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some \f$i \in N\f$, or if
- \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some
- \f$i \in P \setdiff \{ k \}\f$, or if the computation is inexact.
- In the second inequality, the relation is strict if
- \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some \f$i \in N\f$, or if
- \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some
- \f$i \in P \setdiff \{ k \}\f$, or if the computation is inexact.
-
- For each \f$k \in N\f$, we have
- \f[
- \frac{1}{a_k}
- \Biggl(
- - z
- - \sum_{\genfrac{}{}{0pt}{}
- {\scriptstyle i \in N}
- {\scriptstyle i \neq k}}{a_ix_i}
- - \sum_{i \in P}{a_ix_i}
- \Biggr)
- \relsym
- x_k.
- \f]
- Thus, if
- \f$\chi_i^\mathrm{l} \in \Rset\f$
- for each \f$i \in N \setdiff \{ k \}\f$ and
- \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in P\f$,
- we have
- \f[
- \Biggl\uparrow
- \frac{1}{a_k}
- \Biggl(
- - z
- - \sum_{\genfrac{}{}{0pt}{}
- {\scriptstyle i \in N}
- {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{l}}
- - \sum_{i \in P}{a_i\chi_i^\mathrm{u}}
- \Biggr)
- \Biggl\uparrow
- \geq
- x_k
- \f]
- and, if \f$\mathord{\relsym} \in \{ \mathord{=} \}\f$,
- \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in N \setdiff \{ k \}\f$
- and \f$\chi_i^\mathrm{l} \in \Rset\f$ for each \f$i \in P\f$,
- \f[
- \Biggl\downarrow
- \frac{1}{a_k}
- \Biggl(
- - z
- - \sum_{\genfrac{}{}{0pt}{}
- {\scriptstyle i \in N}
- {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{u}}
- - \sum_{i \in P}{a_i\chi_i^\mathrm{l}}
- \Biggr)
- \Biggl\downarrow
- \leq
- x_k.
- \f]
- In the first inequality, the relation is strict if
- \f$\mathord{\relsym} \in \{ \mathord{>} \}\f$, or if
- \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some \f$i \in P\f$, or if
- \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some
- \f$i \in N \setdiff \{ k \}\f$, or if the computation is inexact.
- In the second inequality, the relation is strict if
- \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some \f$i \in P\f$, or if
- \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some
- \f$i \in N \setdiff \{ k \}\f$, or if the computation is inexact.
- \endif
- */
- void propagate_constraint_no_check(const Constraint& c);
-
- /*! \brief
- Propagates the constraints in \p cs to refine \p *this.
-
- \param cs
- The constraints to be propagated.
-
- \param max_iterations
- The maximum number of propagation steps for each constraint in \p cs.
- If zero, the number of propagation steps will be unbounded, possibly
- resulting in an infinite loop.
-
- \warning
- If \p cs and \p *this are dimension-incompatible,
- the behavior is undefined.
-
- \warning
- This method may lead to non-termination if \p max_iterations is 0.
- */
- void propagate_constraints_no_check(const Constraint_System& cs,
- dimension_type max_iterations);
-
- //! Checks if and how \p expr is bounded in \p *this.
- /*!
- Returns <CODE>true</CODE> if and only if \p from_above is
- <CODE>true</CODE> and \p expr is bounded from above in \p *this,
- or \p from_above is <CODE>false</CODE> and \p expr is bounded
- from below in \p *this.
-
- \param expr
- The linear expression to test;
-
- \param from_above
- <CODE>true</CODE> if and only if the boundedness of interest is
- "from above".
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds(const Linear_Expression& expr, bool from_above) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p *this;
-
- \param g
- When maximization or minimization succeeds, will be assigned
- a point or closure point where \p expr reaches the
- corresponding extremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p g are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator& g) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p * this;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p point are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
-
- /*! \brief
- Adds to \p limiting_box the interval constraints in \p cs
- that are satisfied by \p *this.
- */
- void get_limiting_box(const Constraint_System& cs,
- Box& limiting_box) const;
-
- //! \name Exception Throwers
- //@{
- void throw_dimension_incompatible(const char* method,
- const Box& y) const;
-
- void throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const;
-
- void throw_dimension_incompatible(const char* method,
- const Constraint& c) const;
-
- void throw_dimension_incompatible(const char* method,
- const Congruence& cg) const;
-
- void throw_dimension_incompatible(const char* method,
- const Constraint_System& cs) const;
-
- void throw_dimension_incompatible(const char* method,
- const Congruence_System& cgs) const;
-
- void throw_dimension_incompatible(const char* method,
- const Generator& g) const;
-
- void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
-
- template <typename C>
- void throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const;
-
- static void throw_constraint_incompatible(const char* method);
-
- static void throw_expression_too_complex(const char* method,
- const Linear_Expression& le);
-
- static void throw_invalid_argument(const char* method, const char* reason);
- //@} // Exception Throwers
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Returns the relations holding between an interval and
- an interval constraint.
-
- \param i
- The interval;
-
- \param constraint_type
- The constraint type;
-
- \param numer
- The numerator of the constraint bound;
-
- \param denom
- The denominator of the constraint bound
-
- The interval constraint has the form
- <CODE>denom * Variable(0) relsym numer</CODE>
- where relsym is <CODE>==</CODE>, <CODE>></CODE> or <CODE>>=</CODE>
- depending on the <CODE>constraint_type</CODE>.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename ITV>
-Poly_Con_Relation
-interval_relation(const ITV& i,
- const Constraint::Type constraint_type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom = 1);
-
-class Box_Helpers {
-public:
- // This is declared here so that Linear_Expression needs to be friend of
- // Box_Helpers only, and doesn't need to be friend of this, too.
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Decodes the constraint \p c as an interval constraint.
- /*! \relates Box
- \return
- <CODE>true</CODE> if the constraint \p c is an
- \ref intervals "interval constraint";
- <CODE>false</CODE> otherwise.
-
- \param c
- The constraint to be decoded.
-
- \param c_num_vars
- If <CODE>true</CODE> is returned, then it will be set to the number
- of variables having a non-zero coefficient. The only legal values
- will therefore be 0 and 1.
-
- \param c_only_var
- If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
- then it will be set to the index of the only variable having
- a non-zero coefficient in \p c.
- */
- #endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- static bool extract_interval_constraint(const Constraint& c,
- dimension_type& c_num_vars,
- dimension_type& c_only_var);
-
- // This is declared here so that Linear_Expression needs to be friend of
- // Box_Helpers only, and doesn't need to be friend of this, too.
- static bool extract_interval_congruence(const Congruence& cg,
- dimension_type& cg_num_vars,
- dimension_type& cg_only_var);
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Box_Status.inlines.hh"
-#include "Box.inlines.hh"
-#include "Box.templates.hh"
-
-#endif // !defined(PPL_Box_defs_hh)
diff --git a/src/Box.inlines.hh b/src/Box.inlines.hh
deleted file mode 100644
index a77db58..0000000
--- a/src/Box.inlines.hh
+++ /dev/null
@@ -1,692 +0,0 @@
-/* Box class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Box_inlines_hh
-#define PPL_Box_inlines_hh 1
-
-#include "Boundary.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
-#include "distances.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename ITV>
-inline bool
-Box<ITV>::marked_empty() const {
- return status.test_empty_up_to_date() && status.test_empty();
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::set_empty() {
- status.set_empty();
- status.set_empty_up_to_date();
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::set_nonempty() {
- status.reset_empty();
- status.set_empty_up_to_date();
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::set_empty_up_to_date() {
- status.set_empty_up_to_date();
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::reset_empty_up_to_date() {
- return status.reset_empty_up_to_date();
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Box(const Box& y, Complexity_Class)
- : seq(y.seq), status(y.status) {
-}
-
-template <typename ITV>
-inline Box<ITV>&
-Box<ITV>::operator=(const Box& y) {
- seq = y.seq;
- status = y.status;
- return *this;
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::m_swap(Box& y) {
- Box& x = *this;
- using std::swap;
- swap(x.seq, y.seq);
- swap(x.status, y.status);
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Box(const Constraint_System& cs, Recycle_Input) {
- // Recycling is useless: just delegate.
- Box<ITV> tmp(cs);
- this->m_swap(tmp);
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Box(const Generator_System& gs, Recycle_Input) {
- // Recycling is useless: just delegate.
- Box<ITV> tmp(gs);
- this->m_swap(tmp);
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Box(const Congruence_System& cgs, Recycle_Input) {
- // Recycling is useless: just delegate.
- Box<ITV> tmp(cgs);
- this->m_swap(tmp);
-}
-
-template <typename ITV>
-inline memory_size_type
-Box<ITV>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename ITV>
-inline dimension_type
-Box<ITV>::space_dimension() const {
- return seq.size();
-}
-
-template <typename ITV>
-inline dimension_type
-Box<ITV>::max_space_dimension() {
- // One dimension is reserved to have a value of type dimension_type
- // that does not represent a legal dimension.
- return Sequence().max_size() - 1;
-}
-
-template <typename ITV>
-inline int32_t
-Box<ITV>::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-template <typename ITV>
-inline const ITV&
-Box<ITV>::operator[](const dimension_type k) const {
- PPL_ASSERT(k < seq.size());
- return seq[k];
-}
-
-template <typename ITV>
-inline const ITV&
-Box<ITV>::get_interval(const Variable var) const {
- if (space_dimension() < var.space_dimension())
- throw_dimension_incompatible("get_interval(v)", "v", var);
-
- if (is_empty()) {
- static ITV empty_interval(EMPTY);
- return empty_interval;
- }
-
- return seq[var.id()];
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::set_interval(const Variable var, const ITV& i) {
- const dimension_type space_dim = space_dimension();
- if (space_dim < var.space_dimension())
- throw_dimension_incompatible("set_interval(v, i)", "v", var);
-
- if (is_empty() && space_dim >= 2)
- // If the box is empty, and has dimension >= 2, setting only one
- // interval will not make it non-empty.
- return;
-
- seq[var.id()] = i;
- reset_empty_up_to_date();
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::is_empty() const {
- return marked_empty() || check_empty();
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::bounds_from_above(const Linear_Expression& expr) const {
- return bounds(expr, true);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::bounds_from_below(const Linear_Expression& expr) const {
- return bounds(expr, false);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
- return max_min(expr, true, sup_n, sup_d, maximum);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const {
- return max_min(expr, true, sup_n, sup_d, maximum, g);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
- return max_min(expr, false, inf_n, inf_d, minimum);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const {
- return max_min(expr, false, inf_n, inf_d, minimum, g);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::strictly_contains(const Box& y) const {
- const Box& x = *this;
- return x.contains(y) && !y.contains(x);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::expand_space_dimension(const Variable var,
- const dimension_type m) {
- const dimension_type space_dim = space_dimension();
- // `var' should be one of the dimensions of the vector space.
- if (var.space_dimension() > space_dim)
- throw_dimension_incompatible("expand_space_dimension(v, m)", "v", var);
-
- // The space dimension of the resulting Box should not
- // overflow the maximum allowed space dimension.
- if (m > max_space_dimension() - space_dim)
- throw_invalid_argument("expand_dimension(v, m)",
- "adding m new space dimensions exceeds "
- "the maximum allowed space dimension");
-
- // To expand the space dimension corresponding to variable `var',
- // we append to the box `m' copies of the corresponding interval.
- seq.insert(seq.end(), m, seq[var.id()]);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-inline bool
-operator!=(const Box<ITV>& x, const Box<ITV>& y) {
- return !(x == y);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::has_lower_bound(const Variable var,
- Coefficient& n, Coefficient& d, bool& closed) const {
- // NOTE: assertion !is_empty() would be wrong;
- // see the calls in method Box<ITV>::constraints().
- PPL_ASSERT(!marked_empty());
- const dimension_type k = var.id();
- PPL_ASSERT(k < seq.size());
- const ITV& seq_k = seq[k];
-
- if (seq_k.lower_is_boundary_infinity())
- return false;
-
- closed = !seq_k.lower_is_open();
-
- PPL_DIRTY_TEMP(mpq_class, lr);
- assign_r(lr, seq_k.lower(), ROUND_NOT_NEEDED);
- n = lr.get_num();
- d = lr.get_den();
-
- return true;
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::has_upper_bound(const Variable var,
- Coefficient& n, Coefficient& d, bool& closed) const {
- // NOTE: assertion !is_empty() would be wrong;
- // see the calls in method Box<ITV>::constraints().
- PPL_ASSERT(!marked_empty());
- const dimension_type k = var.id();
- PPL_ASSERT(k < seq.size());
- const ITV& seq_k = seq[k];
-
- if (seq_k.upper_is_boundary_infinity())
- return false;
-
- closed = !seq_k.upper_is_open();
-
- PPL_DIRTY_TEMP(mpq_class, ur);
- assign_r(ur, seq_k.upper(), ROUND_NOT_NEEDED);
- n = ur.get_num();
- d = ur.get_den();
-
- return true;
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::add_constraint(const Constraint& c) {
- const dimension_type c_space_dim = c.space_dimension();
- // Dimension-compatibility check.
- if (c_space_dim > space_dimension())
- throw_dimension_incompatible("add_constraint(c)", c);
-
- add_constraint_no_check(c);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::add_constraints(const Constraint_System& cs) {
- // Dimension-compatibility check.
- if (cs.space_dimension() > space_dimension())
- throw_dimension_incompatible("add_constraints(cs)", cs);
-
- add_constraints_no_check(cs);
-}
-
-template <typename T>
-inline void
-Box<T>::add_recycled_constraints(Constraint_System& cs) {
- add_constraints(cs);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::add_congruence(const Congruence& cg) {
- const dimension_type cg_space_dim = cg.space_dimension();
- // Dimension-compatibility check.
- if (cg_space_dim > space_dimension())
- throw_dimension_incompatible("add_congruence(cg)", cg);
-
- add_congruence_no_check(cg);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::add_congruences(const Congruence_System& cgs) {
- if (cgs.space_dimension() > space_dimension())
- throw_dimension_incompatible("add_congruences(cgs)", cgs);
- add_congruences_no_check(cgs);
-}
-
-template <typename T>
-inline void
-Box<T>::add_recycled_congruences(Congruence_System& cgs) {
- add_congruences(cgs);
-}
-
-template <typename T>
-inline bool
-Box<T>::can_recycle_constraint_systems() {
- return false;
-}
-
-template <typename T>
-inline bool
-Box<T>::can_recycle_congruence_systems() {
- return false;
-}
-
-template <typename T>
-inline void
-Box<T>::widening_assign(const Box& y, unsigned* tp) {
- CC76_widening_assign(y, tp);
-}
-
-template <typename ITV>
-inline Congruence_System
-Box<ITV>::minimized_congruences() const {
- // Only equalities can be congruences and these are already minimized.
- return congruences();
-}
-
-template <typename ITV>
-inline I_Result
-Box<ITV>
-::refine_interval_no_check(ITV& itv,
- const Constraint::Type type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
- PPL_ASSERT(denom != 0);
- // The interval constraint is of the form
- // `var + numer / denom rel 0',
- // where `rel' is either the relation `==', `>=', or `>'.
- // For the purpose of refining the interval, this is
- // (morally) turned into `var rel -numer/denom'.
- PPL_DIRTY_TEMP(mpq_class, q);
- assign_r(q.get_num(), numer, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), denom, ROUND_NOT_NEEDED);
- q.canonicalize();
- // Turn `numer/denom' into `-numer/denom'.
- q = -q;
-
- Relation_Symbol rel_sym;
- switch (type) {
- case Constraint::EQUALITY:
- rel_sym = EQUAL;
- break;
- case Constraint::NONSTRICT_INEQUALITY:
- rel_sym = (denom > 0) ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
- break;
- case Constraint::STRICT_INEQUALITY:
- rel_sym = (denom > 0) ? GREATER_THAN : LESS_THAN;
- break;
- default:
- // Silence compiler warning.
- PPL_UNREACHABLE;
- return I_ANY;
- }
- I_Result res = itv.add_constraint(i_constraint(rel_sym, q));
- PPL_ASSERT(itv.OK());
- return res;
-}
-
-template <typename ITV>
-inline void
-Box<ITV>
-::add_interval_constraint_no_check(const dimension_type var_id,
- const Constraint::Type type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
- PPL_ASSERT(!marked_empty());
- PPL_ASSERT(var_id < space_dimension());
- PPL_ASSERT(denom != 0);
- refine_interval_no_check(seq[var_id], type, numer, denom);
- // FIXME: do check the value returned and set `empty' and
- // `empty_up_to_date' as appropriate.
- // This has to be done after reimplementation of intervals.
- reset_empty_up_to_date();
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::refine_with_constraint(const Constraint& c) {
- const dimension_type c_space_dim = c.space_dimension();
- // Dimension-compatibility check.
- if (c_space_dim > space_dimension())
- throw_dimension_incompatible("refine_with_constraint(c)", c);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- refine_no_check(c);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::refine_with_constraints(const Constraint_System& cs) {
- // Dimension-compatibility check.
- if (cs.space_dimension() > space_dimension())
- throw_dimension_incompatible("refine_with_constraints(cs)", cs);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- refine_no_check(cs);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::refine_with_congruence(const Congruence& cg) {
- const dimension_type cg_space_dim = cg.space_dimension();
- // Dimension-compatibility check.
- if (cg_space_dim > space_dimension())
- throw_dimension_incompatible("refine_with_congruence(cg)", cg);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- refine_no_check(cg);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::refine_with_congruences(const Congruence_System& cgs) {
- // Dimension-compatibility check.
- if (cgs.space_dimension() > space_dimension())
- throw_dimension_incompatible("refine_with_congruences(cgs)", cgs);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- refine_no_check(cgs);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::propagate_constraint(const Constraint& c) {
- const dimension_type c_space_dim = c.space_dimension();
- // Dimension-compatibility check.
- if (c_space_dim > space_dimension())
- throw_dimension_incompatible("propagate_constraint(c)", c);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- propagate_constraint_no_check(c);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::propagate_constraints(const Constraint_System& cs,
- const dimension_type max_iterations) {
- // Dimension-compatibility check.
- if (cs.space_dimension() > space_dimension())
- throw_dimension_incompatible("propagate_constraints(cs)", cs);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- propagate_constraints_no_check(cs, max_iterations);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::unconstrain(const Variable var) {
- const dimension_type var_id = var.id();
- // Dimension-compatibility check.
- if (space_dimension() < var_id + 1)
- throw_dimension_incompatible("unconstrain(var)", var_id + 1);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- // Here the box might still be empty (but we haven't detected it yet):
- // check emptiness of the interval for `var' before cylindrification.
- ITV& seq_var = seq[var_id];
- if (seq_var.is_empty())
- set_empty();
- else
- seq_var.assign(UNIVERSE);
-
- PPL_ASSERT(OK());
-}
-
-/*! \relates Box */
-template <typename Temp, typename To, typename ITV>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >
- (r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Box */
-template <typename Temp, typename To, typename ITV>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Box */
-template <typename To, typename ITV>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
- // FIXME: the following qualification is only to work around a bug
- // in the Intel C/C++ compiler version 10.1.x.
- return Parma_Polyhedra_Library
- ::rectilinear_distance_assign<To, To, ITV>(r, x, y, dir);
-}
-
-/*! \relates Box */
-template <typename Temp, typename To, typename ITV>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >
- (r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Box */
-template <typename Temp, typename To, typename ITV>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Box */
-template <typename To, typename ITV>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
- // FIXME: the following qualification is only to work around a bug
- // in the Intel C/C++ compiler version 10.1.x.
- return Parma_Polyhedra_Library
- ::euclidean_distance_assign<To, To, ITV>(r, x, y, dir);
-}
-
-/*! \relates Box */
-template <typename Temp, typename To, typename ITV>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >
- (r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Box */
-template <typename Temp, typename To, typename ITV>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Box */
-template <typename To, typename ITV>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
- // FIXME: the following qualification is only to work around a bug
- // in the Intel C/C++ compiler version 10.1.x.
- return Parma_Polyhedra_Library
- ::l_infinity_distance_assign<To, To, ITV>(r, x, y, dir);
-}
-
-/*! \relates Box */
-template <typename ITV>
-inline void
-swap(Box<ITV>& x, Box<ITV>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Box_inlines_hh)
diff --git a/src/Box.templates.hh b/src/Box.templates.hh
deleted file mode 100644
index 17fa8be..0000000
--- a/src/Box.templates.hh
+++ /dev/null
@@ -1,4285 +0,0 @@
-/* Box class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Box_templates_hh
-#define PPL_Box_templates_hh 1
-
-#include "Variables_Set.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Generator_System.defs.hh"
-#include "Generator_System.inlines.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "Polyhedron.defs.hh"
-#include "Grid.defs.hh"
-#include "Interval.defs.hh"
-#include "Linear_Form.defs.hh"
-#include "BD_Shape.defs.hh"
-#include "Octagonal_Shape.defs.hh"
-#include "MIP_Problem.defs.hh"
-#include "Rational_Interval.hh"
-#include <vector>
-#include <map>
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename ITV>
-inline
-Box<ITV>::Box(dimension_type num_dimensions, Degenerate_Element kind)
- : seq(check_space_dimension_overflow(num_dimensions,
- max_space_dimension(),
- "PPL::Box::",
- "Box(n, k)",
- "n exceeds the maximum "
- "allowed space dimension")),
- status() {
- // In a box that is marked empty the intervals are completely
- // meaningless: we exploit this by avoiding their initialization.
- if (kind == UNIVERSE) {
- for (dimension_type i = num_dimensions; i-- > 0; )
- seq[i].assign(UNIVERSE);
- set_empty_up_to_date();
- }
- else
- set_empty();
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Box(const Constraint_System& cs)
- : seq(check_space_dimension_overflow(cs.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(cs)",
- "cs exceeds the maximum "
- "allowed space dimension")),
- status() {
- // FIXME: check whether we can avoid the double initialization.
- for (dimension_type i = cs.space_dimension(); i-- > 0; )
- seq[i].assign(UNIVERSE);
- add_constraints_no_check(cs);
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Box(const Congruence_System& cgs)
- : seq(check_space_dimension_overflow(cgs.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(cgs)",
- "cgs exceeds the maximum "
- "allowed space dimension")),
- status() {
- // FIXME: check whether we can avoid the double initialization.
- for (dimension_type i = cgs.space_dimension(); i-- > 0; )
- seq[i].assign(UNIVERSE);
- add_congruences_no_check(cgs);
-}
-
-template <typename ITV>
-template <typename Other_ITV>
-inline
-Box<ITV>::Box(const Box<Other_ITV>& y, Complexity_Class)
- : seq(y.space_dimension()),
- // FIXME: why the following does not work?
- // status(y.status) {
- status() {
- // FIXME: remove when the above is fixed.
- if (y.marked_empty())
- set_empty();
-
- if (!y.marked_empty())
- for (dimension_type k = y.space_dimension(); k-- > 0; )
- seq[k].assign(y.seq[k]);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-Box<ITV>::Box(const Generator_System& gs)
- : seq(check_space_dimension_overflow(gs.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(gs)",
- "gs exceeds the maximum "
- "allowed space dimension")),
- status() {
- const Generator_System::const_iterator gs_begin = gs.begin();
- const Generator_System::const_iterator gs_end = gs.end();
- if (gs_begin == gs_end) {
- // An empty generator system defines the empty box.
- set_empty();
- return;
- }
-
- // The empty flag will be meaningful, whatever happens from now on.
- set_empty_up_to_date();
-
- const dimension_type space_dim = space_dimension();
- PPL_DIRTY_TEMP(mpq_class, q);
- bool point_seen = false;
- // Going through all the points.
- for (Generator_System::const_iterator
- gs_i = gs_begin; gs_i != gs_end; ++gs_i) {
- const Generator& g = *gs_i;
- if (g.is_point()) {
- const Coefficient& d = g.divisor();
- if (point_seen) {
- // This is not the first point: `seq' already contains valid values.
- // TODO: If the variables in the expression that have coefficient 0
- // have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i-- > 0; ) {
- assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
- q.canonicalize();
- PPL_DIRTY_TEMP(ITV, iq);
- iq.build(i_constraint(EQUAL, q));
- seq[i].join_assign(iq);
- }
- }
- else {
- // This is the first point seen: initialize `seq'.
- point_seen = true;
- // TODO: If the variables in the expression that have coefficient 0
- // have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i-- > 0; ) {
- assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
- q.canonicalize();
- seq[i].build(i_constraint(EQUAL, q));
- }
- }
- }
- }
-
- if (!point_seen)
- // The generator system is not empty, but contains no points.
- throw std::invalid_argument("PPL::Box<ITV>::Box(gs):\n"
- "the non-empty generator system gs "
- "contains no points.");
-
- // Going through all the lines, rays and closure points.
- ITV q_interval;
- for (Generator_System::const_iterator gs_i = gs_begin;
- gs_i != gs_end; ++gs_i) {
- const Generator& g = *gs_i;
- switch (g.type()) {
- case Generator::LINE:
- for (Generator::Expression::const_iterator i = g.expression().begin(),
- i_end = g.expression().end();
- i != i_end; ++i)
- seq[i.variable().id()].assign(UNIVERSE);
- break;
- case Generator::RAY:
- for (Generator::Expression::const_iterator i = g.expression().begin(),
- i_end = g.expression().end();
- i != i_end; ++i)
- switch (sgn(*i)) {
- case 1:
- seq[i.variable().id()].upper_extend();
- break;
- case -1:
- seq[i.variable().id()].lower_extend();
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
- break;
- case Generator::CLOSURE_POINT:
- {
- const Coefficient& d = g.divisor();
- // TODO: If the variables in the expression that have coefficient 0
- // have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i-- > 0; ) {
- assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
- q.canonicalize();
- ITV& seq_i = seq[i];
- seq_i.lower_extend(i_constraint(GREATER_THAN, q));
- seq_i.upper_extend(i_constraint(LESS_THAN, q));
- }
- }
- break;
- default:
- // Points already dealt with.
- break;
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-template <typename T>
-Box<ITV>::Box(const BD_Shape<T>& bds, Complexity_Class)
- : seq(check_space_dimension_overflow(bds.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(bds)",
- "bds exceeds the maximum "
- "allowed space dimension")),
- status() {
- // Expose all the interval constraints.
- bds.shortest_path_closure_assign();
- if (bds.marked_empty()) {
- set_empty();
- PPL_ASSERT(OK());
- return;
- }
-
- // The empty flag will be meaningful, whatever happens from now on.
- set_empty_up_to_date();
-
- const dimension_type space_dim = space_dimension();
- if (space_dim == 0) {
- PPL_ASSERT(OK());
- return;
- }
-
- typedef typename BD_Shape<T>::coefficient_type Coeff;
- PPL_DIRTY_TEMP(Coeff, tmp);
- const DB_Row<Coeff>& dbm_0 = bds.dbm[0];
- for (dimension_type i = space_dim; i-- > 0; ) {
- I_Constraint<Coeff> lower;
- I_Constraint<Coeff> upper;
- ITV& seq_i = seq[i];
-
- // Set the upper bound.
- const Coeff& u = dbm_0[i+1];
- if (!is_plus_infinity(u))
- upper.set(LESS_OR_EQUAL, u, true);
-
- // Set the lower bound.
- const Coeff& negated_l = bds.dbm[i+1][0];
- if (!is_plus_infinity(negated_l)) {
- neg_assign_r(tmp, negated_l, ROUND_DOWN);
- lower.set(GREATER_OR_EQUAL, tmp);
- }
-
- seq_i.build(lower, upper);
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-template <typename T>
-Box<ITV>::Box(const Octagonal_Shape<T>& oct, Complexity_Class)
- : seq(check_space_dimension_overflow(oct.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(oct)",
- "oct exceeds the maximum "
- "allowed space dimension")),
- status() {
- // Expose all the interval constraints.
- oct.strong_closure_assign();
- if (oct.marked_empty()) {
- set_empty();
- return;
- }
-
- // The empty flag will be meaningful, whatever happens from now on.
- set_empty_up_to_date();
-
- const dimension_type space_dim = space_dimension();
- if (space_dim == 0)
- return;
-
- PPL_DIRTY_TEMP(mpq_class, lower_bound);
- PPL_DIRTY_TEMP(mpq_class, upper_bound);
- for (dimension_type i = space_dim; i-- > 0; ) {
- typedef typename Octagonal_Shape<T>::coefficient_type Coeff;
- I_Constraint<mpq_class> lower;
- I_Constraint<mpq_class> upper;
- ITV& seq_i = seq[i];
- const dimension_type ii = 2*i;
- const dimension_type cii = ii + 1;
-
- // Set the upper bound.
- const Coeff& twice_ub = oct.matrix[cii][ii];
- if (!is_plus_infinity(twice_ub)) {
- assign_r(upper_bound, twice_ub, ROUND_NOT_NEEDED);
- div_2exp_assign_r(upper_bound, upper_bound, 1, ROUND_NOT_NEEDED);
- upper.set(LESS_OR_EQUAL, upper_bound);
- }
-
- // Set the lower bound.
- const Coeff& twice_lb = oct.matrix[ii][cii];
- if (!is_plus_infinity(twice_lb)) {
- assign_r(lower_bound, twice_lb, ROUND_NOT_NEEDED);
- neg_assign_r(lower_bound, lower_bound, ROUND_NOT_NEEDED);
- div_2exp_assign_r(lower_bound, lower_bound, 1, ROUND_NOT_NEEDED);
- lower.set(GREATER_OR_EQUAL, lower_bound);
- }
- seq_i.build(lower, upper);
- }
-}
-
-template <typename ITV>
-Box<ITV>::Box(const Polyhedron& ph, Complexity_Class complexity)
- : seq(check_space_dimension_overflow(ph.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(ph)",
- "ph exceeds the maximum "
- "allowed space dimension")),
- status() {
- // The empty flag will be meaningful, whatever happens from now on.
- set_empty_up_to_date();
-
- // We do not need to bother about `complexity' if:
- // a) the polyhedron is already marked empty; or ...
- if (ph.marked_empty()) {
- set_empty();
- return;
- }
-
- // b) the polyhedron is zero-dimensional; or ...
- const dimension_type space_dim = ph.space_dimension();
- if (space_dim == 0)
- return;
-
- // c) the polyhedron is already described by a generator system.
- if (ph.generators_are_up_to_date() && !ph.has_pending_constraints()) {
- Box tmp(ph.generators());
- m_swap(tmp);
- return;
- }
-
- // Here generators are not up-to-date or there are pending constraints.
- PPL_ASSERT(ph.constraints_are_up_to_date());
-
- if (complexity == POLYNOMIAL_COMPLEXITY) {
- // FIXME: is there a way to avoid this initialization?
- for (dimension_type i = space_dim; i-- > 0; )
- seq[i].assign(UNIVERSE);
- // Get a simplified version of the constraints.
- Constraint_System cs = ph.simplified_constraints();
- // Propagate easy-to-find bounds from the constraints,
- // allowing for a limited number of iterations.
- // FIXME: 20 is just a wild guess.
- const dimension_type max_iterations = 20;
- propagate_constraints_no_check(cs, max_iterations);
- }
- else if (complexity == SIMPLEX_COMPLEXITY) {
- MIP_Problem lp(space_dim);
- const Constraint_System& ph_cs = ph.constraints();
- if (!ph_cs.has_strict_inequalities())
- lp.add_constraints(ph_cs);
- else
- // Adding to `lp' a topologically closed version of `ph_cs'.
- for (Constraint_System::const_iterator i = ph_cs.begin(),
- ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_strict_inequality())
- lp.add_constraint(Linear_Expression(c) >= 0);
- else
- lp.add_constraint(c);
- }
- // Check for unsatisfiability.
- if (!lp.is_satisfiable()) {
- set_empty();
- return;
- }
- // Get all the bounds for the space dimensions.
- Generator g(point());
- PPL_DIRTY_TEMP(mpq_class, lower_bound);
- PPL_DIRTY_TEMP(mpq_class, upper_bound);
- PPL_DIRTY_TEMP(Coefficient, bound_numer);
- PPL_DIRTY_TEMP(Coefficient, bound_denom);
- for (dimension_type i = space_dim; i-- > 0; ) {
- I_Constraint<mpq_class> lower;
- I_Constraint<mpq_class> upper;
- ITV& seq_i = seq[i];
- lp.set_objective_function(Variable(i));
- // Evaluate upper bound.
- lp.set_optimization_mode(MAXIMIZATION);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, bound_numer, bound_denom);
- assign_r(upper_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
- assign_r(upper_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
- PPL_ASSERT(is_canonical(upper_bound));
- upper.set(LESS_OR_EQUAL, upper_bound);
- }
- // Evaluate optimal lower bound.
- lp.set_optimization_mode(MINIMIZATION);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, bound_numer, bound_denom);
- assign_r(lower_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
- assign_r(lower_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
- PPL_ASSERT(is_canonical(lower_bound));
- lower.set(GREATER_OR_EQUAL, lower_bound);
- }
- seq_i.build(lower, upper);
- }
- }
- else {
- PPL_ASSERT(complexity == ANY_COMPLEXITY);
- if (ph.is_empty())
- set_empty();
- else {
- Box tmp(ph.generators());
- m_swap(tmp);
- }
- }
-}
-
-template <typename ITV>
-Box<ITV>::Box(const Grid& gr, Complexity_Class)
- : seq(check_space_dimension_overflow(gr.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(gr)",
- "gr exceeds the maximum "
- "allowed space dimension")),
- status() {
-
- if (gr.marked_empty()) {
- set_empty();
- return;
- }
-
- // The empty flag will be meaningful, whatever happens from now on.
- set_empty_up_to_date();
-
- const dimension_type space_dim = gr.space_dimension();
-
- if (space_dim == 0)
- return;
-
- if (!gr.generators_are_up_to_date() && !gr.update_generators()) {
- // Updating found the grid empty.
- set_empty();
- return;
- }
-
- PPL_ASSERT(!gr.gen_sys.empty());
-
- // For each dimension that is bounded by the grid, set both bounds
- // of the interval to the value of the associated coefficient in a
- // generator point.
- PPL_DIRTY_TEMP(mpq_class, bound);
- PPL_DIRTY_TEMP(Coefficient, bound_numer);
- PPL_DIRTY_TEMP(Coefficient, bound_denom);
- for (dimension_type i = space_dim; i-- > 0; ) {
- ITV& seq_i = seq[i];
- Variable var(i);
- bool max;
- if (gr.maximize(var, bound_numer, bound_denom, max)) {
- assign_r(bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
- assign_r(bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
- bound.canonicalize();
- seq_i.build(i_constraint(EQUAL, bound));
- }
- else
- seq_i.assign(UNIVERSE);
- }
-}
-
-template <typename ITV>
-template <typename D1, typename D2, typename R>
-Box<ITV>::Box(const Partially_Reduced_Product<D1, D2, R>& dp,
- Complexity_Class complexity)
- : seq(), status() {
- check_space_dimension_overflow(dp.space_dimension(),
- max_space_dimension(),
- "PPL::Box::",
- "Box(dp)",
- "dp exceeds the maximum "
- "allowed space dimension");
- Box tmp1(dp.domain1(), complexity);
- Box tmp2(dp.domain2(), complexity);
- tmp1.intersection_assign(tmp2);
- m_swap(tmp1);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::add_space_dimensions_and_embed(const dimension_type m) {
- // Adding no dimensions is a no-op.
- if (m == 0)
- return;
- check_space_dimension_overflow(m, max_space_dimension() - space_dimension(),
- "PPL::Box::",
- "add_space_dimensions_and_embed(m)",
- "adding m new space dimensions exceeds "
- "the maximum allowed space dimension");
- // To embed an n-dimension space box in a (n+m)-dimension space,
- // we just add `m' new universe elements to the sequence.
- seq.insert(seq.end(), m, ITV(UNIVERSE));
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::add_space_dimensions_and_project(const dimension_type m) {
- // Adding no dimensions is a no-op.
- if (m == 0)
- return;
- check_space_dimension_overflow(m, max_space_dimension() - space_dimension(),
- "PPL::Box::",
- "add_space_dimensions_and_project(m)",
- "adding m new space dimensions exceeds "
- "the maximum allowed space dimension");
- // Add `m' new zero elements to the sequence.
- seq.insert(seq.end(), m, ITV(0));
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-bool
-operator==(const Box<ITV>& x, const Box<ITV>& y) {
- const dimension_type x_space_dim = x.space_dimension();
- if (x_space_dim != y.space_dimension())
- return false;
-
- if (x.is_empty())
- return y.is_empty();
-
- if (y.is_empty())
- return x.is_empty();
-
- for (dimension_type k = x_space_dim; k-- > 0; )
- if (x.seq[k] != y.seq[k])
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::bounds(const Linear_Expression& expr, const bool from_above) const {
- // `expr' should be dimension-compatible with `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- const dimension_type space_dim = space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((from_above
- ? "bounds_from_above(e)"
- : "bounds_from_below(e)"), "e", expr);
- // A zero-dimensional or empty Box bounds everything.
- if (space_dim == 0 || is_empty())
- return true;
-
- const int from_above_sign = from_above ? 1 : -1;
- // TODO: This loop can be optimized more, if needed, exploiting the
- // (possible) sparseness of expr.
- for (Linear_Expression::const_iterator i = expr.begin(),
- i_end = expr.end(); i != i_end; ++i) {
- const Variable v = i.variable();
- switch (sgn(*i) * from_above_sign) {
- case 1:
- if (seq[v.id()].upper_is_boundary_infinity())
- return false;
- break;
- case 0:
- PPL_UNREACHABLE;
- break;
- case -1:
- if (seq[v.id()].lower_is_boundary_infinity())
- return false;
- break;
- }
- }
- return true;
-}
-
-template <typename ITV>
-Poly_Con_Relation
-interval_relation(const ITV& i,
- const Constraint::Type constraint_type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
-
- if (i.is_universe())
- return Poly_Con_Relation::strictly_intersects();
-
- PPL_DIRTY_TEMP(mpq_class, bound);
- assign_r(bound.get_num(), numer, ROUND_NOT_NEEDED);
- assign_r(bound.get_den(), denom, ROUND_NOT_NEEDED);
- bound.canonicalize();
- neg_assign_r(bound, bound, ROUND_NOT_NEEDED);
- const bool is_lower_bound = (denom > 0);
-
- PPL_DIRTY_TEMP(mpq_class, bound_diff);
- if (constraint_type == Constraint::EQUALITY) {
- if (i.lower_is_boundary_infinity()) {
- PPL_ASSERT(!i.upper_is_boundary_infinity());
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- return i.upper_is_open()
- ? Poly_Con_Relation::is_disjoint()
- : Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- else {
- assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::is_disjoint();
- case 0:
- if (i.lower_is_open())
- return Poly_Con_Relation::is_disjoint();
- if (i.is_singleton())
- return Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates();
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- if (i.upper_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (i.upper_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- }
- }
- }
-
- PPL_ASSERT(constraint_type != Constraint::EQUALITY);
- if (is_lower_bound) {
- if (i.lower_is_boundary_infinity()) {
- PPL_ASSERT(!i.upper_is_boundary_infinity());
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (constraint_type == Constraint::STRICT_INEQUALITY
- || i.upper_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- else {
- assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::is_included();
- case 0:
- if (constraint_type == Constraint::NONSTRICT_INEQUALITY
- || i.lower_is_open()) {
- Poly_Con_Relation result = Poly_Con_Relation::is_included();
- if (i.is_singleton())
- result = result && Poly_Con_Relation::saturates();
- return result;
- }
- else {
- PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
- && !i.lower_is_open());
- if (i.is_singleton())
- return Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates();
- else
- return Poly_Con_Relation::strictly_intersects();
- }
- case -1:
- if (i.upper_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (constraint_type == Constraint::STRICT_INEQUALITY
- || i.upper_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- }
- }
- }
- else {
- // `c' is an upper bound.
- if (i.upper_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case -1:
- return Poly_Con_Relation::is_included();
- case 0:
- if (constraint_type == Constraint::NONSTRICT_INEQUALITY
- || i.upper_is_open()) {
- Poly_Con_Relation result = Poly_Con_Relation::is_included();
- if (i.is_singleton())
- result = result && Poly_Con_Relation::saturates();
- return result;
- }
- else {
- PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
- && !i.upper_is_open());
- if (i.is_singleton())
- return Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates();
- else
- return Poly_Con_Relation::strictly_intersects();
- }
- case 1:
- if (i.lower_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case -1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (constraint_type == Constraint::STRICT_INEQUALITY
- || i.lower_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case 1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- }
- }
- }
-
- // Quiet a compiler warning: this program point is unreachable.
- PPL_UNREACHABLE;
- return Poly_Con_Relation::nothing();
-}
-
-template <typename ITV>
-Poly_Con_Relation
-Box<ITV>::relation_with(const Congruence& cg) const {
- const dimension_type cg_space_dim = cg.space_dimension();
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (cg_space_dim > space_dim)
- throw_dimension_incompatible("relation_with(cg)", cg);
-
- if (is_empty())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint();
-
- if (space_dim == 0) {
- if (cg.is_inconsistent())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- }
-
- if (cg.is_equality()) {
- const Constraint c(cg);
- return relation_with(c);
- }
-
- PPL_DIRTY_TEMP(Rational_Interval, r);
- PPL_DIRTY_TEMP(Rational_Interval, t);
- PPL_DIRTY_TEMP(mpq_class, m);
- r = 0;
- for (Congruence::Expression::const_iterator i = cg.expression().begin(),
- i_end = cg.expression().end(); i != i_end; ++i) {
- const Coefficient& cg_i = *i;
- const Variable v = i.variable();
- assign_r(m, cg_i, ROUND_NOT_NEEDED);
- // FIXME: an add_mul_assign() method would come handy here.
- t.build(seq[v.id()].lower_constraint(), seq[v.id()].upper_constraint());
- t *= m;
- r += t;
- }
-
- if (r.lower_is_boundary_infinity() || r.upper_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
-
-
- // Find the value that satisfies the congruence and is
- // nearest to the lower bound such that the point lies on or above it.
-
- PPL_DIRTY_TEMP_COEFFICIENT(lower);
- PPL_DIRTY_TEMP_COEFFICIENT(mod);
- PPL_DIRTY_TEMP_COEFFICIENT(v);
- mod = cg.modulus();
- v = cg.inhomogeneous_term() % mod;
- assign_r(lower, r.lower(), ROUND_DOWN);
- v -= ((lower / mod) * mod);
- if (v + lower > 0)
- v -= mod;
- return interval_relation(r, Constraint::EQUALITY, v);
-}
-
-template <typename ITV>
-Poly_Con_Relation
-Box<ITV>::relation_with(const Constraint& c) const {
- const dimension_type c_space_dim = c.space_dimension();
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (c_space_dim > space_dim)
- throw_dimension_incompatible("relation_with(c)", c);
-
- if (is_empty())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint();
-
- if (space_dim == 0) {
- if ((c.is_equality() && c.inhomogeneous_term() != 0)
- || (c.is_inequality() && c.inhomogeneous_term() < 0))
- return Poly_Con_Relation::is_disjoint();
- else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
- // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
- // thus, the zero-dimensional point also saturates it.
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else if (c.is_equality() || c.inhomogeneous_term() == 0)
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- else
- // The zero-dimensional point saturates
- // neither the positivity constraint 1 >= 0,
- // nor the strict positivity constraint 1 > 0.
- return Poly_Con_Relation::is_included();
- }
-
- dimension_type c_num_vars = 0;
- dimension_type c_only_var = 0;
-
- if (Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var))
- if (c_num_vars == 0)
- // c is a trivial constraint.
- switch (sgn(c.inhomogeneous_term())) {
- case -1:
- return Poly_Con_Relation::is_disjoint();
- case 0:
- if (c.is_strict_inequality())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- case 1:
- return Poly_Con_Relation::is_included();
- }
- else {
- // c is an interval constraint.
- return interval_relation(seq[c_only_var],
- c.type(),
- c.inhomogeneous_term(),
- c.coefficient(Variable(c_only_var)));
- }
- else {
- // Deal with a non-trivial and non-interval constraint.
- PPL_DIRTY_TEMP(Rational_Interval, r);
- PPL_DIRTY_TEMP(Rational_Interval, t);
- PPL_DIRTY_TEMP(mpq_class, m);
- r = 0;
- const Constraint::Expression& e = c.expression();
- for (Constraint::Expression::const_iterator i = e.begin(), i_end = e.end();
- i != i_end; ++i) {
- assign_r(m, *i, ROUND_NOT_NEEDED);
- const Variable v = i.variable();
- // FIXME: an add_mul_assign() method would come handy here.
- t.build(seq[v.id()].lower_constraint(), seq[v.id()].upper_constraint());
- t *= m;
- r += t;
- }
- return interval_relation(r,
- c.type(),
- c.inhomogeneous_term());
- }
-
- // Quiet a compiler warning: this program point is unreachable.
- PPL_UNREACHABLE;
- return Poly_Con_Relation::nothing();
-}
-
-template <typename ITV>
-Poly_Gen_Relation
-Box<ITV>::relation_with(const Generator& g) const {
- const dimension_type space_dim = space_dimension();
- const dimension_type g_space_dim = g.space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim < g_space_dim)
- throw_dimension_incompatible("relation_with(g)", g);
-
- // The empty box cannot subsume a generator.
- if (is_empty())
- return Poly_Gen_Relation::nothing();
-
- // A universe box in a zero-dimensional space subsumes
- // all the generators of a zero-dimensional space.
- if (space_dim == 0)
- return Poly_Gen_Relation::subsumes();
-
- if (g.is_line_or_ray()) {
- if (g.is_line()) {
- const Generator::Expression& e = g.expression();
- for (Generator::Expression::const_iterator i = e.begin(), i_end = e.end();
- i != i_end; ++i)
- if (!seq[i.variable().id()].is_universe())
- return Poly_Gen_Relation::nothing();
- return Poly_Gen_Relation::subsumes();
- }
- else {
- PPL_ASSERT(g.is_ray());
- const Generator::Expression& e = g.expression();
- for (Generator::Expression::const_iterator i = e.begin(), i_end = e.end();
- i != i_end; ++i) {
- const Variable v = i.variable();
- switch (sgn(*i)) {
- case 1:
- if (!seq[v.id()].upper_is_boundary_infinity())
- return Poly_Gen_Relation::nothing();
- break;
- case 0:
- PPL_UNREACHABLE;
- break;
- case -1:
- if (!seq[v.id()].lower_is_boundary_infinity())
- return Poly_Gen_Relation::nothing();
- break;
- }
- }
- return Poly_Gen_Relation::subsumes();
- }
- }
-
- // Here `g' is a point or closure point.
- const Coefficient& g_divisor = g.divisor();
- PPL_DIRTY_TEMP(mpq_class, g_coord);
- PPL_DIRTY_TEMP(mpq_class, bound);
- // TODO: If the variables in the expression that have coefficient 0
- // have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = g_space_dim; i-- > 0; ) {
- const ITV& seq_i = seq[i];
- if (seq_i.is_universe())
- continue;
- assign_r(g_coord.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(g_coord.get_den(), g_divisor, ROUND_NOT_NEEDED);
- g_coord.canonicalize();
- // Check lower bound.
- if (!seq_i.lower_is_boundary_infinity()) {
- assign_r(bound, seq_i.lower(), ROUND_NOT_NEEDED);
- if (g_coord <= bound) {
- if (seq_i.lower_is_open()) {
- if (g.is_point() || g_coord != bound)
- return Poly_Gen_Relation::nothing();
- }
- else if (g_coord != bound)
- return Poly_Gen_Relation::nothing();
- }
- }
- // Check upper bound.
- if (!seq_i.upper_is_boundary_infinity()) {
- assign_r(bound, seq_i.upper(), ROUND_NOT_NEEDED);
- if (g_coord >= bound) {
- if (seq_i.upper_is_open()) {
- if (g.is_point() || g_coord != bound)
- return Poly_Gen_Relation::nothing();
- }
- else if (g_coord != bound)
- return Poly_Gen_Relation::nothing();
- }
- }
- }
- return Poly_Gen_Relation::subsumes();
-}
-
-
-template <typename ITV>
-bool
-Box<ITV>::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included) const {
- // `expr' should be dimension-compatible with `*this'.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
- // Deal with zero-dim Box first.
- if (space_dim == 0) {
- if (marked_empty())
- return false;
- else {
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- return true;
- }
- }
-
- // For an empty Box we simply return false.
- if (is_empty())
- return false;
-
- PPL_DIRTY_TEMP(mpq_class, result);
- assign_r(result, expr.inhomogeneous_term(), ROUND_NOT_NEEDED);
- bool is_included = true;
- const int maximize_sign = maximize ? 1 : -1;
- PPL_DIRTY_TEMP(mpq_class, bound_i);
- PPL_DIRTY_TEMP(mpq_class, expr_i);
- for (Linear_Expression::const_iterator i = expr.begin(),
- i_end = expr.end(); i != i_end; ++i) {
- const ITV& seq_i = seq[i.variable().id()];
- assign_r(expr_i, *i, ROUND_NOT_NEEDED);
- switch (sgn(expr_i) * maximize_sign) {
- case 1:
- if (seq_i.upper_is_boundary_infinity())
- return false;
- assign_r(bound_i, seq_i.upper(), ROUND_NOT_NEEDED);
- add_mul_assign_r(result, bound_i, expr_i, ROUND_NOT_NEEDED);
- if (seq_i.upper_is_open())
- is_included = false;
- break;
- case 0:
- PPL_UNREACHABLE;
- break;
- case -1:
- if (seq_i.lower_is_boundary_infinity())
- return false;
- assign_r(bound_i, seq_i.lower(), ROUND_NOT_NEEDED);
- add_mul_assign_r(result, bound_i, expr_i, ROUND_NOT_NEEDED);
- if (seq_i.lower_is_open())
- is_included = false;
- break;
- }
- }
- // Extract output info.
- PPL_ASSERT(is_canonical(result));
- ext_n = result.get_num();
- ext_d = result.get_den();
- included = is_included;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included,
- Generator& g) const {
- if (!max_min(expr, maximize, ext_n, ext_d, included))
- return false;
-
- // Compute generator `g'.
- Linear_Expression g_expr;
- PPL_DIRTY_TEMP(Coefficient, g_divisor);
- g_divisor = 1;
- const int maximize_sign = maximize ? 1 : -1;
- PPL_DIRTY_TEMP(mpq_class, g_coord);
- PPL_DIRTY_TEMP(Coefficient, numer);
- PPL_DIRTY_TEMP(Coefficient, denom);
- PPL_DIRTY_TEMP(Coefficient, lcm);
- PPL_DIRTY_TEMP(Coefficient, factor);
- // TODO: Check if the following loop can be optimized to exploit the
- // (possible) sparseness of expr.
- for (dimension_type i = space_dimension(); i-- > 0; ) {
- const ITV& seq_i = seq[i];
- switch (sgn(expr.coefficient(Variable(i))) * maximize_sign) {
- case 1:
- assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
- break;
- case 0:
- // If 0 belongs to the interval, choose it
- // (and directly proceed to the next iteration).
- // FIXME: name qualification issue.
- if (seq_i.contains(0))
- continue;
- if (!seq_i.lower_is_boundary_infinity())
- if (seq_i.lower_is_open())
- if (!seq_i.upper_is_boundary_infinity())
- if (seq_i.upper_is_open()) {
- // Bounded and open interval: compute middle point.
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(mpq_class, q_seq_i_upper);
- assign_r(q_seq_i_upper, seq_i.upper(), ROUND_NOT_NEEDED);
- g_coord += q_seq_i_upper;
- g_coord /= 2;
- }
- else
- // The upper bound is in the interval.
- assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
- else {
- // Lower is open, upper is unbounded.
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
- ++g_coord;
- }
- else
- // The lower bound is in the interval.
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
- else {
- // Lower is unbounded, hence upper is bounded
- // (since we know that 0 does not belong to the interval).
- PPL_ASSERT(!seq_i.upper_is_boundary_infinity());
- assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
- if (seq_i.upper_is_open())
- --g_coord;
- }
- break;
- case -1:
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
- break;
- }
- // Add g_coord * Variable(i) to the generator.
- assign_r(denom, g_coord.get_den(), ROUND_NOT_NEEDED);
- lcm_assign(lcm, g_divisor, denom);
- exact_div_assign(factor, lcm, g_divisor);
- g_expr *= factor;
- exact_div_assign(factor, lcm, denom);
- assign_r(numer, g_coord.get_num(), ROUND_NOT_NEEDED);
- numer *= factor;
- g_expr += numer * Variable(i);
- g_divisor = lcm;
- }
- g = Generator::point(g_expr, g_divisor);
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::contains(const Box& y) const {
- const Box& x = *this;
- // Dimension-compatibility check.
- if (x.space_dimension() != y.space_dimension())
- x.throw_dimension_incompatible("contains(y)", y);
-
- // If `y' is empty, then `x' contains `y'.
- if (y.is_empty())
- return true;
-
- // If `x' is empty, then `x' cannot contain `y'.
- if (x.is_empty())
- return false;
-
- for (dimension_type k = x.seq.size(); k-- > 0; )
- // FIXME: fix this name qualification issue.
- if (!x.seq[k].contains(y.seq[k]))
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::is_disjoint_from(const Box& y) const {
- const Box& x = *this;
- // Dimension-compatibility check.
- if (x.space_dimension() != y.space_dimension())
- x.throw_dimension_incompatible("is_disjoint_from(y)", y);
-
- // If any of `x' or `y' is marked empty, then they are disjoint.
- // Note: no need to use `is_empty', as the following loop is anyway correct.
- if (x.marked_empty() || y.marked_empty())
- return true;
-
- for (dimension_type k = x.seq.size(); k-- > 0; )
- // FIXME: fix this name qualification issue.
- if (x.seq[k].is_disjoint_from(y.seq[k]))
- return true;
- return false;
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::upper_bound_assign_if_exact(const Box& y) {
- Box& x = *this;
-
- // Dimension-compatibility check.
- if (x.space_dimension() != y.space_dimension())
- x.throw_dimension_incompatible("upper_bound_assign_if_exact(y)", y);
-
- // The lub of a box with an empty box is equal to the first box.
- if (y.is_empty())
- return true;
- if (x.is_empty()) {
- x = y;
- return true;
- }
-
- bool x_j_does_not_contain_y_j = false;
- bool y_j_does_not_contain_x_j = false;
-
- for (dimension_type i = x.seq.size(); i-- > 0; ) {
- const ITV& x_seq_i = x.seq[i];
- const ITV& y_seq_i = y.seq[i];
-
- if (!x_seq_i.can_be_exactly_joined_to(y_seq_i))
- return false;
-
- // Note: the use of `y_i_does_not_contain_x_i' is needed
- // because we want to temporarily preserve the old value
- // of `y_j_does_not_contain_x_j'.
- bool y_i_does_not_contain_x_i = !y_seq_i.contains(x_seq_i);
- if (y_i_does_not_contain_x_i && x_j_does_not_contain_y_j)
- return false;
- if (!x_seq_i.contains(y_seq_i)) {
- if (y_j_does_not_contain_x_j)
- return false;
- else
- x_j_does_not_contain_y_j = true;
- }
- if (y_i_does_not_contain_x_i)
- y_j_does_not_contain_x_j = true;
- }
-
- // The upper bound is exact: compute it into *this.
- for (dimension_type k = x.seq.size(); k-- > 0; )
- x.seq[k].join_assign(y.seq[k]);
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::OK() const {
- if (status.test_empty_up_to_date() && !status.test_empty()) {
- Box tmp = *this;
- tmp.reset_empty_up_to_date();
- if (tmp.check_empty()) {
-#ifndef NDEBUG
- std::cerr << "The box is empty, but it is marked as non-empty."
- << std::endl;
-#endif // NDEBUG
- return false;
- }
- }
-
- // A box that is not marked empty must have meaningful intervals.
- if (!marked_empty()) {
- for (dimension_type k = seq.size(); k-- > 0; )
- if (!seq[k].OK())
- return false;
- }
-
- return true;
-}
-
-template <typename ITV>
-dimension_type
-Box<ITV>::affine_dimension() const {
- dimension_type d = space_dimension();
- // A zero-space-dim box always has affine dimension zero.
- if (d == 0)
- return 0;
-
- // An empty box has affine dimension zero.
- if (is_empty())
- return 0;
-
- for (dimension_type k = d; k-- > 0; )
- if (seq[k].is_singleton())
- --d;
-
- return d;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::check_empty() const {
- PPL_ASSERT(!marked_empty());
- Box<ITV>& x = const_cast<Box<ITV>&>(*this);
- for (dimension_type k = seq.size(); k-- > 0; )
- if (seq[k].is_empty()) {
- x.set_empty();
- return true;
- }
- x.set_nonempty();
- return false;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::is_universe() const {
- if (marked_empty())
- return false;
- for (dimension_type k = seq.size(); k-- > 0; )
- if (!seq[k].is_universe())
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::is_topologically_closed() const {
- if (ITV::is_always_topologically_closed() || is_empty())
- return true;
-
- for (dimension_type k = seq.size(); k-- > 0; )
- if (!seq[k].is_topologically_closed())
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::is_discrete() const {
- if (is_empty())
- return true;
- for (dimension_type k = seq.size(); k-- > 0; )
- if (!seq[k].is_singleton())
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::is_bounded() const {
- if (is_empty())
- return true;
- for (dimension_type k = seq.size(); k-- > 0; )
- if (!seq[k].is_bounded())
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::contains_integer_point() const {
- if (marked_empty())
- return false;
- for (dimension_type k = seq.size(); k-- > 0; )
- if (!seq[k].contains_integer_point())
- return false;
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const {
- dimension_type space_dim = space_dimension();
- // The dimension of `expr' must be at most the dimension of *this.
- if (space_dim < expr.space_dimension())
- throw_dimension_incompatible("frequency(e, ...)", "e", expr);
-
- // Check if `expr' has a constant value.
- // If it is constant, set the frequency `freq_n' to 0
- // and return true. Otherwise the values for \p expr
- // are not discrete so return false.
-
- // Space dimension is 0: if empty, then return false;
- // otherwise the frequency is 0 and the value is the inhomogeneous term.
- if (space_dim == 0) {
- if (is_empty())
- return false;
- freq_n = 0;
- freq_d = 1;
- val_n = expr.inhomogeneous_term();
- val_d = 1;
- return true;
- }
-
- // For an empty Box, we simply return false.
- if (is_empty())
- return false;
-
- // The Box has at least 1 dimension and is not empty.
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- PPL_DIRTY_TEMP(mpq_class, tmp);
- Coefficient c = expr.inhomogeneous_term();
-
- PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
- val_denom = 1;
-
- for (Linear_Expression::const_iterator i = expr.begin(), i_end = expr.end();
- i != i_end; ++i) {
- const ITV& seq_i = seq[i.variable().id()];
- // Check if `v' is constant in the BD shape.
- if (seq_i.is_singleton()) {
- // If `v' is constant, replace it in `le' by the value.
- assign_r(tmp, seq_i.lower(), ROUND_NOT_NEEDED);
- numer = tmp.get_num();
- denom = tmp.get_den();
- c *= denom;
- c += numer * val_denom * (*i);
- val_denom *= denom;
- continue;
- }
- // The expression `expr' is not constant.
- return false;
- }
-
- // The expression `expr' is constant.
- freq_n = 0;
- freq_d = 1;
-
- // Reduce `val_n' and `val_d'.
- normalize2(c, val_denom, val_n, val_d);
- return true;
-}
-
-template <typename ITV>
-bool
-Box<ITV>::constrains(Variable var) const {
- // `var' should be one of the dimensions of the polyhedron.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dimension() < var_space_dim)
- throw_dimension_incompatible("constrains(v)", "v", var);
-
- if (marked_empty() || !seq[var_space_dim-1].is_universe())
- return true;
- // Now force an emptiness check.
- return is_empty();
-}
-
-template <typename ITV>
-void
-Box<ITV>::unconstrain(const Variables_Set& vars) {
- // The cylindrification with respect to no dimensions is a no-op.
- // This case also captures the only legal cylindrification
- // of a box in a 0-dim space.
- if (vars.empty())
- return;
-
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dimension() < min_space_dim)
- throw_dimension_incompatible("unconstrain(vs)", min_space_dim);
-
- // If the box is already empty, there is nothing left to do.
- if (marked_empty())
- return;
-
- // Here the box might still be empty (but we haven't detected it yet):
- // check emptiness of the interval for each of the variables in
- // `vars' before cylindrification.
- for (Variables_Set::const_iterator vsi = vars.begin(),
- vsi_end = vars.end(); vsi != vsi_end; ++vsi) {
- ITV& seq_vsi = seq[*vsi];
- if (!seq_vsi.is_empty())
- seq_vsi.assign(UNIVERSE);
- else {
- set_empty();
- break;
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::topological_closure_assign() {
- if (ITV::is_always_topologically_closed() || is_empty())
- return;
-
- for (dimension_type k = seq.size(); k-- > 0; )
- seq[k].topological_closure_assign();
-}
-
-template <typename ITV>
-void
-Box<ITV>::wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p,
- unsigned complexity_threshold,
- bool wrap_individually) {
-#if 0 // Generic implementation commented out.
- Implementation::wrap_assign(*this,
- vars, w, r, o, cs_p,
- complexity_threshold, wrap_individually,
- "Box");
-#else // Specialized implementation.
- PPL_USED(wrap_individually);
- PPL_USED(complexity_threshold);
- Box& x = *this;
-
- // Dimension-compatibility check for `*cs_p', if any.
- const dimension_type vars_space_dim = vars.space_dimension();
- if (cs_p != 0 && cs_p->space_dimension() > vars_space_dim) {
- std::ostringstream s;
- s << "PPL::Box<ITV>::wrap_assign(vars, w, r, o, cs_p, ...):"
- << std::endl
- << "vars.space_dimension() == " << vars_space_dim
- << ", cs_p->space_dimension() == " << cs_p->space_dimension() << ".";
- throw std::invalid_argument(s.str());
- }
-
- // Wrapping no variable only requires refining with *cs_p, if any.
- if (vars.empty()) {
- if (cs_p != 0)
- refine_with_constraints(*cs_p);
- return;
- }
-
- // Dimension-compatibility check for `vars'.
- const dimension_type space_dim = x.space_dimension();
- if (space_dim < vars_space_dim) {
- std::ostringstream s;
- s << "PPL::Box<ITV>::wrap_assign(vars, ...):"
- << std::endl
- << "this->space_dimension() == " << space_dim
- << ", required space dimension == " << vars_space_dim << ".";
- throw std::invalid_argument(s.str());
- }
-
- // Wrapping an empty polyhedron is a no-op.
- if (x.is_empty())
- return;
-
- // FIXME: temporarily (ab-) using Coefficient.
- // Set `min_value' and `max_value' to the minimum and maximum values
- // a variable of width `w' and signedness `s' can take.
- PPL_DIRTY_TEMP_COEFFICIENT(min_value);
- PPL_DIRTY_TEMP_COEFFICIENT(max_value);
- if (r == UNSIGNED) {
- min_value = 0;
- mul_2exp_assign(max_value, Coefficient_one(), w);
- --max_value;
- }
- else {
- PPL_ASSERT(r == SIGNED_2_COMPLEMENT);
- mul_2exp_assign(max_value, Coefficient_one(), w-1);
- neg_assign(min_value, max_value);
- --max_value;
- }
-
- // FIXME: Build the (integer) quadrant interval.
- PPL_DIRTY_TEMP(ITV, integer_quadrant_itv);
- PPL_DIRTY_TEMP(ITV, rational_quadrant_itv);
- {
- I_Constraint<Coefficient> lower = i_constraint(GREATER_OR_EQUAL, min_value);
- I_Constraint<Coefficient> upper = i_constraint(LESS_OR_EQUAL, max_value);
- integer_quadrant_itv.build(lower, upper);
- // The rational quadrant is only needed if overflow is undefined.
- if (o == OVERFLOW_UNDEFINED) {
- ++max_value;
- upper = i_constraint(LESS_THAN, max_value);
- rational_quadrant_itv.build(lower, upper);
- }
- }
-
- const Variables_Set::const_iterator vs_end = vars.end();
-
- if (cs_p == 0) {
- // No constraint refinement is needed here.
- switch (o) {
- case OVERFLOW_WRAPS:
- for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i)
- x.seq[*i].wrap_assign(w, r, integer_quadrant_itv);
- reset_empty_up_to_date();
- break;
- case OVERFLOW_UNDEFINED:
- for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i) {
- ITV& x_seq_v = x.seq[*i];
- if (!rational_quadrant_itv.contains(x_seq_v)) {
- x_seq_v.assign(integer_quadrant_itv);
- }
- }
- break;
- case OVERFLOW_IMPOSSIBLE:
- for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i)
- x.seq[*i].intersect_assign(integer_quadrant_itv);
- reset_empty_up_to_date();
- break;
- }
- PPL_ASSERT(x.OK());
- return;
- }
-
- PPL_ASSERT(cs_p != 0);
- const Constraint_System& cs = *cs_p;
- // A map associating interval constraints to variable indexes.
- typedef std::map<dimension_type, std::vector<const Constraint*> > map_type;
- map_type var_cs_map;
- for (Constraint_System::const_iterator i = cs.begin(),
- i_end = cs.end(); i != i_end; ++i) {
- const Constraint& c = *i;
- dimension_type c_num_vars = 0;
- dimension_type c_only_var = 0;
- if (Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var)) {
- if (c_num_vars == 1) {
- // An interval constraint on variable index `c_only_var'.
- PPL_ASSERT(c_only_var < space_dim);
- // We do care about c if c_only_var is going to be wrapped.
- if (vars.find(c_only_var) != vs_end)
- var_cs_map[c_only_var].push_back(&c);
- }
- else {
- PPL_ASSERT(c_num_vars == 0);
- // Note: tautologies have been filtered out by iterators.
- PPL_ASSERT(c.is_inconsistent());
- x.set_empty();
- return;
- }
- }
- }
-
- PPL_DIRTY_TEMP(ITV, refinement_itv);
- const map_type::const_iterator var_cs_map_end = var_cs_map.end();
- // Loop through the variable indexes in `vars'.
- for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i) {
- const dimension_type v = *i;
- refinement_itv = integer_quadrant_itv;
- // Look for the refinement constraints for space dimension index `v'.
- map_type::const_iterator var_cs_map_iter = var_cs_map.find(v);
- if (var_cs_map_iter != var_cs_map_end) {
- // Refine interval for variable `v'.
- const map_type::mapped_type& var_cs = var_cs_map_iter->second;
- for (dimension_type j = var_cs.size(); j-- > 0; ) {
- const Constraint& c = *var_cs[j];
- refine_interval_no_check(refinement_itv,
- c.type(),
- c.inhomogeneous_term(),
- c.coefficient(Variable(v)));
- }
- }
- // Wrap space dimension index `v'.
- ITV& x_seq_v = x.seq[v];
- switch (o) {
- case OVERFLOW_WRAPS:
- x_seq_v.wrap_assign(w, r, refinement_itv);
- break;
- case OVERFLOW_UNDEFINED:
- if (!rational_quadrant_itv.contains(x_seq_v))
- x_seq_v.assign(UNIVERSE);
- break;
- case OVERFLOW_IMPOSSIBLE:
- x_seq_v.intersect_assign(refinement_itv);
- break;
- }
- }
- PPL_ASSERT(x.OK());
-#endif
-}
-
-template <typename ITV>
-void
-Box<ITV>::drop_some_non_integer_points(Complexity_Class) {
- if (std::numeric_limits<typename ITV::boundary_type>::is_integer
- && !ITV::info_type::store_open)
- return;
-
- if (marked_empty())
- return;
-
- for (dimension_type k = seq.size(); k-- > 0; )
- seq[k].drop_some_non_integer_points();
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class) {
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dimension() < min_space_dim)
- throw_dimension_incompatible("drop_some_non_integer_points(vs, cmpl)",
- min_space_dim);
-
- if (std::numeric_limits<typename ITV::boundary_type>::is_integer
- && !ITV::info_type::store_open)
- return;
-
- if (marked_empty())
- return;
-
- for (Variables_Set::const_iterator v_i = vars.begin(),
- v_end = vars.end(); v_i != v_end; ++v_i)
- seq[*v_i].drop_some_non_integer_points();
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::intersection_assign(const Box& y) {
- Box& x = *this;
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- x.throw_dimension_incompatible("intersection_assign(y)", y);
-
- // If one of the two boxes is empty, the intersection is empty.
- if (x.marked_empty())
- return;
- if (y.marked_empty()) {
- x.set_empty();
- return;
- }
-
- // If both boxes are zero-dimensional, then at this point they are
- // necessarily non-empty, so that their intersection is non-empty too.
- if (space_dim == 0)
- return;
-
- // FIXME: here we may conditionally exploit a capability of the
- // underlying interval to eagerly detect empty results.
- reset_empty_up_to_date();
-
- for (dimension_type k = space_dim; k-- > 0; )
- x.seq[k].intersect_assign(y.seq[k]);
-
- PPL_ASSERT(x.OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::upper_bound_assign(const Box& y) {
- Box& x = *this;
-
- // Dimension-compatibility check.
- if (x.space_dimension() != y.space_dimension())
- x.throw_dimension_incompatible("upper_bound_assign(y)", y);
-
- // The lub of a box with an empty box is equal to the first box.
- if (y.is_empty())
- return;
- if (x.is_empty()) {
- x = y;
- return;
- }
-
- for (dimension_type k = x.seq.size(); k-- > 0; )
- x.seq[k].join_assign(y.seq[k]);
-
- PPL_ASSERT(x.OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::concatenate_assign(const Box& y) {
- Box& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
- const dimension_type y_space_dim = y.space_dimension();
-
- // If `y' is marked empty, the result will be empty too.
- if (y.marked_empty())
- x.set_empty();
-
- // If `y' is a 0-dim space box, there is nothing left to do.
- if (y_space_dim == 0)
- return;
- // The resulting space dimension must be at most the maximum.
- check_space_dimension_overflow(y.space_dimension(),
- max_space_dimension() - space_dimension(),
- "PPL::Box::",
- "concatenate_assign(y)",
- "concatenation exceeds the maximum "
- "allowed space dimension");
- // Here `y_space_dim > 0', so that a non-trivial concatenation will occur:
- // make sure that reallocation will occur once at most.
- x.seq.reserve(x_space_dim + y_space_dim);
-
- // If `x' is marked empty, then it is sufficient to adjust
- // the dimension of the vector space.
- if (x.marked_empty()) {
- x.seq.insert(x.seq.end(), y_space_dim, ITV(EMPTY));
- PPL_ASSERT(x.OK());
- return;
- }
-
- // Here neither `x' nor `y' are marked empty: concatenate them.
- std::copy(y.seq.begin(), y.seq.end(),
- std::back_insert_iterator<Sequence>(x.seq));
- // Update the `empty_up_to_date' flag.
- if (!y.status.test_empty_up_to_date())
- reset_empty_up_to_date();
-
- PPL_ASSERT(x.OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::difference_assign(const Box& y) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("difference_assign(y)", y);
-
- Box& x = *this;
- if (x.is_empty() || y.is_empty())
- return;
-
- switch (space_dim) {
- case 0:
- // If `x' is zero-dimensional, then at this point both `x' and `y'
- // are the universe box, so that their difference is empty.
- x.set_empty();
- break;
-
- case 1:
- x.seq[0].difference_assign(y.seq[0]);
- if (x.seq[0].is_empty())
- x.set_empty();
- break;
-
- default:
- {
- dimension_type index_non_contained = space_dim;
- dimension_type number_non_contained = 0;
- for (dimension_type i = space_dim; i-- > 0; )
- if (!y.seq[i].contains(x.seq[i])) {
- if (++number_non_contained == 1)
- index_non_contained = i;
- else
- break;
- }
-
- switch (number_non_contained) {
- case 0:
- // `y' covers `x': the difference is empty.
- x.set_empty();
- break;
- case 1:
- x.seq[index_non_contained]
- .difference_assign(y.seq[index_non_contained]);
- if (x.seq[index_non_contained].is_empty())
- x.set_empty();
- break;
- default:
- // Nothing to do: the difference is `x'.
- break;
- }
- }
- break;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-bool
-Box<ITV>::simplify_using_context_assign(const Box& y) {
- Box& x = *this;
- const dimension_type num_dims = x.space_dimension();
- // Dimension-compatibility check.
- if (num_dims != y.space_dimension())
- x.throw_dimension_incompatible("simplify_using_context_assign(y)", y);
-
- // Filter away the zero-dimensional case.
- if (num_dims == 0) {
- if (y.marked_empty()) {
- x.set_nonempty();
- return false;
- }
- else
- return !x.marked_empty();
- }
-
- // Filter away the case when `y' is empty.
- if (y.is_empty()) {
- for (dimension_type i = num_dims; i-- > 0; )
- x.seq[i].assign(UNIVERSE);
- x.set_nonempty();
- return false;
- }
-
- if (x.is_empty()) {
- // Find in `y' a non-universe interval, if any.
- for (dimension_type i = 0; i < num_dims; ++i) {
- if (y.seq[i].is_universe())
- x.seq[i].assign(UNIVERSE);
- else {
- // Set x.seq[i] so as to contradict y.seq[i], if possible.
- ITV& seq_i = x.seq[i];
- seq_i.empty_intersection_assign(y.seq[i]);
- if (seq_i.is_empty()) {
- // We were not able to assign to `seq_i' a non-empty interval:
- // reset `seq_i' to the universe interval and keep searching.
- seq_i.assign(UNIVERSE);
- continue;
- }
- // We assigned to `seq_i' a non-empty interval:
- // set the other intervals to universe and return.
- for (++i; i < num_dims; ++i)
- x.seq[i].assign(UNIVERSE);
- x.set_nonempty();
- PPL_ASSERT(x.OK());
- return false;
- }
- }
- // All intervals in `y' are universe or could not be contradicted:
- // simplification can leave the empty box `x' as is.
- PPL_ASSERT(x.OK() && x.is_empty());
- return false;
- }
-
- // Loop index `i' is intentionally going upwards.
- for (dimension_type i = 0; i < num_dims; ++i) {
- if (!x.seq[i].simplify_using_context_assign(y.seq[i])) {
- PPL_ASSERT(!x.seq[i].is_empty());
- // The intersection of `x' and `y' is empty due to the i-th interval:
- // reset other intervals to UNIVERSE.
- for (dimension_type j = num_dims; j-- > i; )
- x.seq[j].assign(UNIVERSE);
- for (dimension_type j = i; j-- > 0; )
- x.seq[j].assign(UNIVERSE);
- PPL_ASSERT(x.OK());
- return false;
- }
- }
- PPL_ASSERT(x.OK());
- return true;
-}
-
-template <typename ITV>
-void
-Box<ITV>::time_elapse_assign(const Box& y) {
- Box& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
-
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- x.throw_dimension_incompatible("time_elapse_assign(y)", y);
-
- // Dealing with the zero-dimensional case.
- if (x_space_dim == 0) {
- if (y.marked_empty())
- x.set_empty();
- return;
- }
-
- // If either one of `x' or `y' is empty, the result is empty too.
- // Note: if possible, avoid cost of checking for emptiness.
- if (x.marked_empty() || y.marked_empty()
- || x.is_empty() || y.is_empty()) {
- x.set_empty();
- return;
- }
-
- for (dimension_type i = x_space_dim; i-- > 0; ) {
- ITV& x_seq_i = x.seq[i];
- const ITV& y_seq_i = y.seq[i];
- if (!x_seq_i.lower_is_boundary_infinity())
- if (y_seq_i.lower_is_boundary_infinity() || y_seq_i.lower() < 0)
- x_seq_i.lower_extend();
- if (!x_seq_i.upper_is_boundary_infinity())
- if (y_seq_i.upper_is_boundary_infinity() || y_seq_i.upper() > 0)
- x_seq_i.upper_extend();
- }
- PPL_ASSERT(x.OK());
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::remove_space_dimensions(const Variables_Set& vars) {
- // The removal of no dimensions from any box is a no-op.
- // Note that this case also captures the only legal removal of
- // space dimensions from a box in a zero-dimensional space.
- if (vars.empty()) {
- PPL_ASSERT(OK());
- return;
- }
-
- const dimension_type old_space_dim = space_dimension();
-
- // Dimension-compatibility check.
- const dimension_type vsi_space_dim = vars.space_dimension();
- if (old_space_dim < vsi_space_dim)
- throw_dimension_incompatible("remove_space_dimensions(vs)",
- vsi_space_dim);
-
- const dimension_type new_space_dim = old_space_dim - vars.size();
-
- // If the box is empty (this must be detected), then resizing is all
- // what is needed. If it is not empty and we are removing _all_ the
- // dimensions then, again, resizing suffices.
- if (is_empty() || new_space_dim == 0) {
- seq.resize(new_space_dim);
- PPL_ASSERT(OK());
- return;
- }
-
- // For each variable to be removed, we fill the corresponding interval
- // by shifting left those intervals that will not be removed.
- Variables_Set::const_iterator vsi = vars.begin();
- Variables_Set::const_iterator vsi_end = vars.end();
- dimension_type dst = *vsi;
- dimension_type src = dst + 1;
- for (++vsi; vsi != vsi_end; ++vsi) {
- const dimension_type vsi_next = *vsi;
- // All intervals in between are moved to the left.
- while (src < vsi_next)
- swap(seq[dst++], seq[src++]);
- ++src;
- }
- // Moving the remaining intervals.
- while (src < old_space_dim)
- swap(seq[dst++], seq[src++]);
-
- PPL_ASSERT(dst == new_space_dim);
- seq.resize(new_space_dim);
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::remove_higher_space_dimensions(const dimension_type new_dimension) {
- // Dimension-compatibility check: the variable having
- // maximum index is the one occurring last in the set.
- const dimension_type space_dim = space_dimension();
- if (new_dimension > space_dim)
- throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
- new_dimension);
-
- // The removal of no dimensions from any box is a no-op.
- // Note that this case also captures the only legal removal of
- // dimensions from a zero-dim space box.
- if (new_dimension == space_dim) {
- PPL_ASSERT(OK());
- return;
- }
-
- seq.resize(new_dimension);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-template <typename Partial_Function>
-void
-Box<ITV>::map_space_dimensions(const Partial_Function& pfunc) {
- const dimension_type space_dim = space_dimension();
- if (space_dim == 0)
- return;
-
- if (pfunc.has_empty_codomain()) {
- // All dimensions vanish: the box becomes zero_dimensional.
- remove_higher_space_dimensions(0);
- return;
- }
-
- const dimension_type new_space_dim = pfunc.max_in_codomain() + 1;
- // If the box is empty, then simply adjust the space dimension.
- if (is_empty()) {
- remove_higher_space_dimensions(new_space_dim);
- return;
- }
-
- // We create a new Box with the new space dimension.
- Box<ITV> tmp(new_space_dim);
- // Map the intervals, exchanging the indexes.
- for (dimension_type i = 0; i < space_dim; ++i) {
- dimension_type new_i;
- if (pfunc.maps(i, new_i))
- swap(seq[i], tmp.seq[new_i]);
- }
- m_swap(tmp);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::fold_space_dimensions(const Variables_Set& vars,
- const Variable dest) {
- const dimension_type space_dim = space_dimension();
- // `dest' should be one of the dimensions of the box.
- if (dest.space_dimension() > space_dim)
- throw_dimension_incompatible("fold_space_dimensions(vs, v)", "v", dest);
-
- // The folding of no dimensions is a no-op.
- if (vars.empty())
- return;
-
- // All variables in `vars' should be dimensions of the box.
- if (vars.space_dimension() > space_dim)
- throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- vars.space_dimension());
-
- // Moreover, `dest.id()' should not occur in `vars'.
- if (vars.find(dest.id()) != vars.end())
- throw_invalid_argument("fold_space_dimensions(vs, v)",
- "v should not occur in vs");
-
- // Note: the check for emptiness is needed for correctness.
- if (!is_empty()) {
- // Join the interval corresponding to variable `dest' with the intervals
- // corresponding to the variables in `vars'.
- ITV& seq_v = seq[dest.id()];
- for (Variables_Set::const_iterator i = vars.begin(),
- vs_end = vars.end(); i != vs_end; ++i)
- seq_v.join_assign(seq[*i]);
- }
- remove_space_dimensions(vars);
-}
-
-template <typename ITV>
-void
-Box<ITV>::add_constraint_no_check(const Constraint& c) {
- PPL_ASSERT(c.space_dimension() <= space_dimension());
-
- dimension_type c_num_vars = 0;
- dimension_type c_only_var = 0;
- // Throw an exception if c is not an interval constraints.
- if (!Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var))
- throw_invalid_argument("add_constraint(c)",
- "c is not an interval constraint");
-
- // Throw an exception if c is a nontrivial strict constraint
- // and ITV does not support open boundaries.
- if (c.is_strict_inequality() && c_num_vars != 0
- && ITV::is_always_topologically_closed())
- throw_invalid_argument("add_constraint(c)",
- "c is a nontrivial strict constraint");
-
- // Avoid doing useless work if the box is known to be empty.
- if (marked_empty())
- return;
-
- const Coefficient& n = c.inhomogeneous_term();
- if (c_num_vars == 0) {
- // Dealing with a trivial constraint.
- if (n < 0
- || (c.is_equality() && n != 0)
- || (c.is_strict_inequality() && n == 0))
- set_empty();
- return;
- }
-
- PPL_ASSERT(c_num_vars == 1);
- const Coefficient& d = c.coefficient(Variable(c_only_var));
- add_interval_constraint_no_check(c_only_var, c.type(), n, d);
-}
-
-template <typename ITV>
-void
-Box<ITV>::add_constraints_no_check(const Constraint_System& cs) {
- PPL_ASSERT(cs.space_dimension() <= space_dimension());
- // Note: even when the box is known to be empty, we need to go
- // through all the constraints to fulfill the method's contract
- // for what concerns exception throwing.
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
- add_constraint_no_check(*i);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::add_congruence_no_check(const Congruence& cg) {
- PPL_ASSERT(cg.space_dimension() <= space_dimension());
-
- // Set aside the case of proper congruences.
- if (cg.is_proper_congruence()) {
- if (cg.is_inconsistent()) {
- set_empty();
- return;
- }
- else if (cg.is_tautological())
- return;
- else
- throw_invalid_argument("add_congruence(cg)",
- "cg is a nontrivial proper congruence");
- }
-
- PPL_ASSERT(cg.is_equality());
- dimension_type cg_num_vars = 0;
- dimension_type cg_only_var = 0;
- // Throw an exception if c is not an interval congruence.
- if (!Box_Helpers::extract_interval_congruence(cg, cg_num_vars, cg_only_var))
- throw_invalid_argument("add_congruence(cg)",
- "cg is not an interval congruence");
-
- // Avoid doing useless work if the box is known to be empty.
- if (marked_empty())
- return;
-
- const Coefficient& n = cg.inhomogeneous_term();
- if (cg_num_vars == 0) {
- // Dealing with a trivial equality congruence.
- if (n != 0)
- set_empty();
- return;
- }
-
- PPL_ASSERT(cg_num_vars == 1);
- const Coefficient& d = cg.coefficient(Variable(cg_only_var));
- add_interval_constraint_no_check(cg_only_var, Constraint::EQUALITY, n, d);
-}
-
-template <typename ITV>
-void
-Box<ITV>::add_congruences_no_check(const Congruence_System& cgs) {
- PPL_ASSERT(cgs.space_dimension() <= space_dimension());
- // Note: even when the box is known to be empty, we need to go
- // through all the congruences to fulfill the method's contract
- // for what concerns exception throwing.
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
- add_congruence_no_check(*i);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::refine_no_check(const Constraint& c) {
- PPL_ASSERT(c.space_dimension() <= space_dimension());
- PPL_ASSERT(!marked_empty());
-
- dimension_type c_num_vars = 0;
- dimension_type c_only_var = 0;
- // Non-interval constraints are approximated.
- if (!Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var)) {
- propagate_constraint_no_check(c);
- return;
- }
-
- const Coefficient& n = c.inhomogeneous_term();
- if (c_num_vars == 0) {
- // Dealing with a trivial constraint.
- if (n < 0
- || (c.is_equality() && n != 0)
- || (c.is_strict_inequality() && n == 0))
- set_empty();
- return;
- }
-
- PPL_ASSERT(c_num_vars == 1);
- const Coefficient& d = c.coefficient(Variable(c_only_var));
- add_interval_constraint_no_check(c_only_var, c.type(), n, d);
-}
-
-template <typename ITV>
-void
-Box<ITV>::refine_no_check(const Constraint_System& cs) {
- PPL_ASSERT(cs.space_dimension() <= space_dimension());
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
- refine_no_check(*i);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::refine_no_check(const Congruence& cg) {
- PPL_ASSERT(!marked_empty());
-
- PPL_ASSERT(cg.space_dimension() <= space_dimension());
-
- if (cg.is_proper_congruence()) {
- // A proper congruences is also an interval constraint
- // if and only if it is trivial.
- if (cg.is_inconsistent())
- set_empty();
- return;
- }
-
- PPL_ASSERT(cg.is_equality());
- Constraint c(cg);
- refine_no_check(c);
-}
-
-template <typename ITV>
-void
-Box<ITV>::refine_no_check(const Congruence_System& cgs) {
- PPL_ASSERT(cgs.space_dimension() <= space_dimension());
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
- refine_no_check(*i);
- PPL_ASSERT(OK());
-}
-
-#if 1 // Alternative implementations for propagate_constraint_no_check.
-namespace Implementation {
-
-namespace Boxes {
-
-inline bool
-propagate_constraint_check_result(Result r, Ternary& open) {
- r = result_relation_class(r);
- switch (r) {
- case V_GT_MINUS_INFINITY:
- case V_LT_PLUS_INFINITY:
- return true;
- case V_LT:
- case V_GT:
- open = T_YES;
- return false;
- case V_LE:
- case V_GE:
- if (open == T_NO)
- open = T_MAYBE;
- return false;
- case V_EQ:
- return false;
- default:
- PPL_UNREACHABLE;
- return true;
- }
-}
-
-} // namespace Boxes
-
-} // namespace Implementation
-
-
-template <typename ITV>
-void
-Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
- using namespace Implementation::Boxes;
-
- PPL_ASSERT(c.space_dimension() <= space_dimension());
-
- typedef
- typename Select_Temp_Boundary_Type<typename ITV::boundary_type>::type
- Temp_Boundary_Type;
-
- const dimension_type c_space_dim = c.space_dimension();
- const Constraint::Type c_type = c.type();
- const Coefficient& c_inhomogeneous_term = c.inhomogeneous_term();
-
- // Find a space dimension having a non-zero coefficient (if any).
- dimension_type last_k = c.expression().last_nonzero(1, c_space_dim + 1);
- if (last_k == c_space_dim + 1) {
- // Constraint c is trivial: check if it is inconsistent.
- if (c_inhomogeneous_term < 0
- || (c_inhomogeneous_term == 0
- && c_type != Constraint::NONSTRICT_INEQUALITY))
- set_empty();
- return;
- }
-
- // Here constraint c is non-trivial.
- PPL_ASSERT(last_k <= c_space_dim);
- Temp_Boundary_Type t_bound;
- Temp_Boundary_Type t_a;
- Temp_Boundary_Type t_x;
- Ternary open;
- const Constraint::Expression& c_e = c.expression();
- for (Constraint::Expression::const_iterator k = c_e.begin(),
- k_end = c_e.lower_bound(Variable(last_k)); k != k_end; ++k) {
- const Coefficient& a_k = *k;
- const Variable k_var = k.variable();
- int sgn_a_k = sgn(a_k);
- if (sgn_a_k == 0)
- continue;
- Result r;
- if (sgn_a_k > 0) {
- open = (c_type == Constraint::STRICT_INEQUALITY) ? T_YES : T_NO;
- if (open == T_NO)
- maybe_reset_fpu_inexact<Temp_Boundary_Type>();
- r = assign_r(t_bound, c_inhomogeneous_term, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- r = neg_assign_r(t_bound, t_bound, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
- i_end = c_e.lower_bound(Variable(last_k)); i != i_end; ++i) {
- const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.lower_is_boundary_infinity())
- goto maybe_refine_upper_1;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.upper_is_boundary_infinity())
- goto maybe_refine_upper_1;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- }
- }
- r = assign_r(t_a, a_k, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- r = div_assign_r(t_bound, t_bound, t_a, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
-
- // Refine the lower bound of `seq[k]' with `t_bound'.
- if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
- {
- Relation_Symbol rel = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
- seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
- }
- reset_empty_up_to_date();
- maybe_refine_upper_1:
- if (c_type != Constraint::EQUALITY)
- continue;
- open = T_NO;
- maybe_reset_fpu_inexact<Temp_Boundary_Type>();
- r = assign_r(t_bound, c_inhomogeneous_term, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = neg_assign_r(t_bound, t_bound, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
- i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
- const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.upper_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.lower_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
- }
- r = assign_r(t_a, a_k, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = div_assign_r(t_bound, t_bound, t_a, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
-
- // Refine the upper bound of seq[k] with t_bound.
- if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
- Relation_Symbol rel = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
- seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
- reset_empty_up_to_date();
- }
- else {
- PPL_ASSERT(sgn_a_k < 0);
- open = (c_type == Constraint::STRICT_INEQUALITY) ? T_YES : T_NO;
- if (open == T_NO)
- maybe_reset_fpu_inexact<Temp_Boundary_Type>();
- r = assign_r(t_bound, c_inhomogeneous_term, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- r = neg_assign_r(t_bound, t_bound, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
- i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
- const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.lower_is_boundary_infinity())
- goto maybe_refine_upper_2;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.upper_is_boundary_infinity())
- goto maybe_refine_upper_2;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- }
- }
- r = assign_r(t_a, a_k, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- r = div_assign_r(t_bound, t_bound, t_a, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
-
- // Refine the upper bound of seq[k] with t_bound.
- if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
- {
- Relation_Symbol rel = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
- seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
- }
- reset_empty_up_to_date();
- maybe_refine_upper_2:
- if (c_type != Constraint::EQUALITY)
- continue;
- open = T_NO;
- maybe_reset_fpu_inexact<Temp_Boundary_Type>();
- r = assign_r(t_bound, c_inhomogeneous_term, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = neg_assign_r(t_bound, t_bound, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
- i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
- const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.upper_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.lower_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
- }
- r = assign_r(t_a, a_k, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = div_assign_r(t_bound, t_bound, t_a, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
-
- // Refine the lower bound of seq[k] with t_bound.
- if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
- Relation_Symbol rel = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
- seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
- reset_empty_up_to_date();
- }
- next_k:
- ;
- }
-}
-
-#else // Alternative implementations for propagate_constraint_no_check.
-
-template <typename ITV>
-void
-Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
- PPL_ASSERT(c.space_dimension() <= space_dimension());
-
- dimension_type c_space_dim = c.space_dimension();
- ITV k[c_space_dim];
- ITV p[c_space_dim];
- for (Constraint::Expression::const_iterator i = c_e.begin(),
- i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
- const Variable i_var = i.variable();
- k[i_var.id()] = *i;
- ITV& p_i = p[i_var.id()];
- p_i = seq[i_var.id()];
- p_i.mul_assign(p_i, k[i_var.id()]);
- }
- const Coefficient& inhomogeneous_term = c.inhomogeneous_term();
- for (Constraint::Expression::const_iterator i = c_e.begin(),
- i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
- const Variable i_var = i.variable();
- int sgn_coefficient_i = sgn(*i);
- ITV q(inhomogeneous_term);
- for (Constraint::Expression::const_iterator j = c_e.begin(),
- j_end = c_e.lower_bound(Variable(c_space_dim)); j != j_end; ++j) {
- const Variable j_var = j.variable();
- if (i_var == j_var)
- continue;
- q.add_assign(q, p[j_var.id()]);
- }
- q.div_assign(q, k[i_var.id()]);
- q.neg_assign(q);
- Relation_Symbol rel;
- switch (c.type()) {
- case Constraint::EQUALITY:
- rel = EQUAL;
- break;
- case Constraint::NONSTRICT_INEQUALITY:
- rel = (sgn_coefficient_i > 0) ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
- break;
- case Constraint::STRICT_INEQUALITY:
- rel = (sgn_coefficient_i > 0) ? GREATER_THAN : LESS_THAN;
- break;
- }
- seq[i_var.id()].add_constraint(i_constraint(rel, q));
- // FIXME: could/should we exploit the return value of add_constraint
- // in case it is available?
- // FIXME: should we instead be lazy and do not even bother about
- // the possibility the interval becomes empty apart from setting
- // empty_up_to_date = false?
- if (seq[i_var.id()].is_empty()) {
- set_empty();
- break;
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-#endif // Alternative implementations for propagate_constraint_no_check.
-
-template <typename ITV>
-void
-Box<ITV>
-::propagate_constraints_no_check(const Constraint_System& cs,
- const dimension_type max_iterations) {
- const dimension_type space_dim = space_dimension();
- PPL_ASSERT(cs.space_dimension() <= space_dim);
-
- const Constraint_System::const_iterator cs_begin = cs.begin();
- const Constraint_System::const_iterator cs_end = cs.end();
- const dimension_type propagation_weight
- = Implementation::num_constraints(cs) * space_dim;
-
- Sequence copy;
- bool changed;
- dimension_type num_iterations = 0;
- do {
- WEIGHT_BEGIN();
- ++num_iterations;
- copy = seq;
- for (Constraint_System::const_iterator i = cs_begin; i != cs_end; ++i)
- propagate_constraint_no_check(*i);
-
- WEIGHT_ADD_MUL(40, propagation_weight);
- // Check if the client has requested abandoning all expensive
- // computations. If so, the exception specified by the client
- // is thrown now.
- maybe_abandon();
-
- // NOTE: if max_iterations == 0 (i.e., no iteration limit is set)
- // the following test will anyway trigger on wrap around.
- if (num_iterations == max_iterations)
- break;
-
- changed = (copy != seq);
- } while (changed);
-}
-
-template <typename ITV>
-void
-Box<ITV>::affine_image(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("affine_image(v, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- const dimension_type space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("affine_image(v, e, d)", "e", expr);
- // `var' should be one of the dimensions of the polyhedron.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dim < var_space_dim)
- throw_dimension_incompatible("affine_image(v, e, d)", "v", var);
-
- if (is_empty())
- return;
-
- Tmp_Interval_Type expr_value, temp0, temp1;
- expr_value.assign(expr.inhomogeneous_term());
- for (Linear_Expression::const_iterator i = expr.begin(),
- i_end = expr.end(); i != i_end; ++i) {
- temp0.assign(*i);
- temp1.assign(seq[i.variable().id()]);
- temp0.mul_assign(temp0, temp1);
- expr_value.add_assign(expr_value, temp0);
- }
- if (denominator != 1) {
- temp0.assign(denominator);
- expr_value.div_assign(expr_value, temp0);
- }
- seq[var.id()].assign(expr_value);
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::affine_form_image(const Variable var,
- const Linear_Form<ITV>& lf) {
-
- // Check that ITV has a floating point boundary type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<typename ITV::boundary_type>
- ::is_exact, "Box<ITV>::affine_form_image(Variable, Linear_Form):"
- "ITV has not a floating point boundary type.");
-
- // Dimension-compatibility checks.
- const dimension_type space_dim = space_dimension();
- const dimension_type lf_space_dim = lf.space_dimension();
- if (space_dim < lf_space_dim)
- throw_dimension_incompatible("affine_form_image(var, lf)", "lf", lf);
- // `var' should be one of the dimensions of the polyhedron.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dim < var_space_dim)
- throw_dimension_incompatible("affine_form_image(var, lf)", "var", var);
-
- if (is_empty())
- return;
-
- // Intervalization of 'lf'.
- ITV result = lf.inhomogeneous_term();
- for (dimension_type i = 0; i < lf_space_dim; ++i) {
- ITV current_addend = lf.coefficient(Variable(i));
- const ITV& curr_int = seq[i];
- current_addend *= curr_int;
- result += current_addend;
- }
-
- seq[var.id()].assign(result);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::affine_preimage(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- const dimension_type x_space_dim = space_dimension();
- const dimension_type expr_space_dim = expr.space_dimension();
- if (x_space_dim < expr_space_dim)
- throw_dimension_incompatible("affine_preimage(v, e, d)", "e", expr);
- // `var' should be one of the dimensions of the polyhedron.
- const dimension_type var_space_dim = var.space_dimension();
- if (x_space_dim < var_space_dim)
- throw_dimension_incompatible("affine_preimage(v, e, d)", "v", var);
-
- if (is_empty())
- return;
-
- const Coefficient& expr_v = expr.coefficient(var);
- const bool invertible = (expr_v != 0);
- if (!invertible) {
- Tmp_Interval_Type expr_value, temp0, temp1;
- expr_value.assign(expr.inhomogeneous_term());
- for (Linear_Expression::const_iterator i = expr.begin(),
- i_end = expr.end(); i != i_end; ++i) {
- temp0.assign(*i);
- temp1.assign(seq[i.variable().id()]);
- temp0.mul_assign(temp0, temp1);
- expr_value.add_assign(expr_value, temp0);
- }
- if (denominator != 1) {
- temp0.assign(denominator);
- expr_value.div_assign(expr_value, temp0);
- }
- ITV& x_seq_v = seq[var.id()];
- expr_value.intersect_assign(x_seq_v);
- if (expr_value.is_empty())
- set_empty();
- else
- x_seq_v.assign(UNIVERSE);
- }
- else {
- // The affine transformation is invertible.
- // CHECKME: for efficiency, would it be meaningful to avoid
- // the computation of inverse by partially evaluating the call
- // to affine_image?
- Linear_Expression inverse;
- inverse -= expr;
- inverse += (expr_v + denominator) * var;
- affine_image(var, inverse, expr_v);
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>
-::bounded_affine_image(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
-
- // Dimension-compatibility checks.
- const dimension_type space_dim = space_dimension();
- // The dimension of `lb_expr' and `ub_expr' should not be
- // greater than the dimension of `*this'.
- const dimension_type lb_space_dim = lb_expr.space_dimension();
- if (space_dim < lb_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "lb", lb_expr);
- const dimension_type ub_space_dim = ub_expr.space_dimension();
- if (space_dim < ub_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "ub", ub_expr);
- // `var' should be one of the dimensions of the box.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dim < var_space_dim)
- throw_dimension_incompatible("affine_image(v, e, d)", "v", var);
-
- // Any image of an empty box is empty.
- if (is_empty())
- return;
-
- // Add the constraint implied by the `lb_expr' and `ub_expr'.
- if (denominator > 0)
- refine_with_constraint(lb_expr <= ub_expr);
- else
- refine_with_constraint(lb_expr >= ub_expr);
-
- // Check whether `var' occurs in `lb_expr' and/or `ub_expr'.
- if (lb_expr.coefficient(var) == 0) {
- // Here `var' can only occur in `ub_expr'.
- generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
- if (denominator > 0)
- refine_with_constraint(lb_expr <= denominator*var);
- else
- refine_with_constraint(denominator*var <= lb_expr);
- }
- else if (ub_expr.coefficient(var) == 0) {
- // Here `var' can only occur in `lb_expr'.
- generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
- if (denominator > 0)
- refine_with_constraint(denominator*var <= ub_expr);
- else
- refine_with_constraint(ub_expr <= denominator*var);
- }
- else {
- // Here `var' occurs in both `lb_expr' and `ub_expr'. As boxes
- // can only use the non-relational constraints, we find the
- // maximum/minimum values `ub_expr' and `lb_expr' obtain with the
- // box and use these instead of the `ub-expr' and `lb-expr'.
- PPL_DIRTY_TEMP(Coefficient, max_numer);
- PPL_DIRTY_TEMP(Coefficient, max_denom);
- bool max_included;
- PPL_DIRTY_TEMP(Coefficient, min_numer);
- PPL_DIRTY_TEMP(Coefficient, min_denom);
- bool min_included;
- ITV& seq_v = seq[var.id()];
- if (maximize(ub_expr, max_numer, max_denom, max_included)) {
- if (minimize(lb_expr, min_numer, min_denom, min_included)) {
- // The `ub_expr' has a maximum value and the `lb_expr'
- // has a minimum value for the box.
- // Set the bounds for `var' using the minimum for `lb_expr'.
- min_denom *= denominator;
- PPL_DIRTY_TEMP(mpq_class, q1);
- PPL_DIRTY_TEMP(mpq_class, q2);
- assign_r(q1.get_num(), min_numer, ROUND_NOT_NEEDED);
- assign_r(q1.get_den(), min_denom, ROUND_NOT_NEEDED);
- q1.canonicalize();
- // Now make the maximum of lb_expr the upper bound. If the
- // maximum is not at a box point, then inequality is strict.
- max_denom *= denominator;
- assign_r(q2.get_num(), max_numer, ROUND_NOT_NEEDED);
- assign_r(q2.get_den(), max_denom, ROUND_NOT_NEEDED);
- q2.canonicalize();
-
- if (denominator > 0) {
- Relation_Symbol gr = min_included ? GREATER_OR_EQUAL : GREATER_THAN;
- Relation_Symbol lr = max_included ? LESS_OR_EQUAL : LESS_THAN;
- seq_v.build(i_constraint(gr, q1), i_constraint(lr, q2));
- }
- else {
- Relation_Symbol gr = max_included ? GREATER_OR_EQUAL : GREATER_THAN;
- Relation_Symbol lr = min_included ? LESS_OR_EQUAL : LESS_THAN;
- seq_v.build(i_constraint(gr, q2), i_constraint(lr, q1));
- }
- }
- else {
- // The `ub_expr' has a maximum value but the `lb_expr'
- // has no minimum value for the box.
- // Set the bounds for `var' using the maximum for `lb_expr'.
- PPL_DIRTY_TEMP(mpq_class, q);
- max_denom *= denominator;
- assign_r(q.get_num(), max_numer, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), max_denom, ROUND_NOT_NEEDED);
- q.canonicalize();
- Relation_Symbol rel = (denominator > 0)
- ? (max_included ? LESS_OR_EQUAL : LESS_THAN)
- : (max_included ? GREATER_OR_EQUAL : GREATER_THAN);
- seq_v.build(i_constraint(rel, q));
- }
- }
- else if (minimize(lb_expr, min_numer, min_denom, min_included)) {
- // The `ub_expr' has no maximum value but the `lb_expr'
- // has a minimum value for the box.
- // Set the bounds for `var' using the minimum for `lb_expr'.
- min_denom *= denominator;
- PPL_DIRTY_TEMP(mpq_class, q);
- assign_r(q.get_num(), min_numer, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), min_denom, ROUND_NOT_NEEDED);
- q.canonicalize();
-
- Relation_Symbol rel = (denominator > 0)
- ? (min_included ? GREATER_OR_EQUAL : GREATER_THAN)
- : (min_included ? LESS_OR_EQUAL : LESS_THAN);
- seq_v.build(i_constraint(rel, q));
- }
- else {
- // The `ub_expr' has no maximum value and the `lb_expr'
- // has no minimum value for the box.
- // So we set the bounds to be unbounded.
- seq_v.assign(UNIVERSE);
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>
-::bounded_affine_preimage(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- const dimension_type space_dim = space_dimension();
- if (denominator == 0)
- throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // `var' should be one of the dimensions of the polyhedron.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dim < var_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "v", var);
- // The dimension of `lb_expr' and `ub_expr' should not be
- // greater than the dimension of `*this'.
- const dimension_type lb_space_dim = lb_expr.space_dimension();
- if (space_dim < lb_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "lb", lb_expr);
- const dimension_type ub_space_dim = ub_expr.space_dimension();
- if (space_dim < ub_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "ub", ub_expr);
-
- // Any preimage of an empty polyhedron is empty.
- if (marked_empty())
- return;
-
- const bool negative_denom = (denominator < 0);
- const Coefficient& lb_var_coeff = lb_expr.coefficient(var);
- const Coefficient& ub_var_coeff = ub_expr.coefficient(var);
-
- // If the implied constraint between `ub_expr and `lb_expr' is
- // independent of `var', then impose it now.
- if (lb_var_coeff == ub_var_coeff) {
- if (negative_denom)
- refine_with_constraint(lb_expr >= ub_expr);
- else
- refine_with_constraint(lb_expr <= ub_expr);
- }
-
- ITV& seq_var = seq[var.id()];
- if (!seq_var.is_universe()) {
- // We want to work with a positive denominator,
- // so the sign and its (unsigned) value are separated.
- PPL_DIRTY_TEMP_COEFFICIENT(pos_denominator);
- pos_denominator = denominator;
- if (negative_denom)
- neg_assign(pos_denominator, pos_denominator);
- // Store all the information about the upper and lower bounds
- // for `var' before making this interval unbounded.
- bool open_lower = seq_var.lower_is_open();
- bool unbounded_lower = seq_var.lower_is_boundary_infinity();
- PPL_DIRTY_TEMP(mpq_class, q_seq_var_lower);
- PPL_DIRTY_TEMP(Coefficient, numer_lower);
- PPL_DIRTY_TEMP(Coefficient, denom_lower);
- if (!unbounded_lower) {
- assign_r(q_seq_var_lower, seq_var.lower(), ROUND_NOT_NEEDED);
- assign_r(numer_lower, q_seq_var_lower.get_num(), ROUND_NOT_NEEDED);
- assign_r(denom_lower, q_seq_var_lower.get_den(), ROUND_NOT_NEEDED);
- if (negative_denom)
- neg_assign(denom_lower, denom_lower);
- numer_lower *= pos_denominator;
- seq_var.lower_extend();
- }
- bool open_upper = seq_var.upper_is_open();
- bool unbounded_upper = seq_var.upper_is_boundary_infinity();
- PPL_DIRTY_TEMP(mpq_class, q_seq_var_upper);
- PPL_DIRTY_TEMP(Coefficient, numer_upper);
- PPL_DIRTY_TEMP(Coefficient, denom_upper);
- if (!unbounded_upper) {
- assign_r(q_seq_var_upper, seq_var.upper(), ROUND_NOT_NEEDED);
- assign_r(numer_upper, q_seq_var_upper.get_num(), ROUND_NOT_NEEDED);
- assign_r(denom_upper, q_seq_var_upper.get_den(), ROUND_NOT_NEEDED);
- if (negative_denom)
- neg_assign(denom_upper, denom_upper);
- numer_upper *= pos_denominator;
- seq_var.upper_extend();
- }
-
- if (!unbounded_lower) {
- // `lb_expr' is revised by removing the `var' component,
- // multiplying by `-' denominator of the lower bound for `var',
- // and adding the lower bound for `var' to the inhomogeneous term.
- Linear_Expression revised_lb_expr(ub_expr);
- revised_lb_expr -= ub_var_coeff * var;
- PPL_DIRTY_TEMP(Coefficient, d);
- neg_assign(d, denom_lower);
- revised_lb_expr *= d;
- revised_lb_expr += numer_lower;
-
- // Find the minimum value for the revised lower bound expression
- // and use this to refine the appropriate bound.
- bool included;
- PPL_DIRTY_TEMP(Coefficient, denom);
- if (minimize(revised_lb_expr, numer_lower, denom, included)) {
- denom_lower *= (denom * ub_var_coeff);
- PPL_DIRTY_TEMP(mpq_class, q);
- assign_r(q.get_num(), numer_lower, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), denom_lower, ROUND_NOT_NEEDED);
- q.canonicalize();
- if (!included)
- open_lower = true;
- Relation_Symbol rel;
- if ((ub_var_coeff >= 0) ? !negative_denom : negative_denom)
- rel = open_lower ? GREATER_THAN : GREATER_OR_EQUAL;
- else
- rel = open_lower ? LESS_THAN : LESS_OR_EQUAL;
- seq_var.add_constraint(i_constraint(rel, q));
- if (seq_var.is_empty()) {
- set_empty();
- return;
- }
- }
- }
-
- if (!unbounded_upper) {
- // `ub_expr' is revised by removing the `var' component,
- // multiplying by `-' denominator of the upper bound for `var',
- // and adding the upper bound for `var' to the inhomogeneous term.
- Linear_Expression revised_ub_expr(lb_expr);
- revised_ub_expr -= lb_var_coeff * var;
- PPL_DIRTY_TEMP(Coefficient, d);
- neg_assign(d, denom_upper);
- revised_ub_expr *= d;
- revised_ub_expr += numer_upper;
-
- // Find the maximum value for the revised upper bound expression
- // and use this to refine the appropriate bound.
- bool included;
- PPL_DIRTY_TEMP(Coefficient, denom);
- if (maximize(revised_ub_expr, numer_upper, denom, included)) {
- denom_upper *= (denom * lb_var_coeff);
- PPL_DIRTY_TEMP(mpq_class, q);
- assign_r(q.get_num(), numer_upper, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), denom_upper, ROUND_NOT_NEEDED);
- q.canonicalize();
- if (!included)
- open_upper = true;
- Relation_Symbol rel;
- if ((lb_var_coeff >= 0) ? !negative_denom : negative_denom)
- rel = open_upper ? LESS_THAN : LESS_OR_EQUAL;
- else
- rel = open_upper ? GREATER_THAN : GREATER_OR_EQUAL;
- seq_var.add_constraint(i_constraint(rel, q));
- if (seq_var.is_empty()) {
- set_empty();
- return;
- }
- }
- }
- }
-
- // If the implied constraint between `ub_expr and `lb_expr' is
- // dependent on `var', then impose on the new box.
- if (lb_var_coeff != ub_var_coeff) {
- if (denominator > 0)
- refine_with_constraint(lb_expr <= ub_expr);
- else
- refine_with_constraint(lb_expr >= ub_expr);
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>
-::generalized_affine_image(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- const dimension_type space_dim = space_dimension();
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- if (space_dim < expr.space_dimension())
- throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "e", expr);
- // `var' should be one of the dimensions of the box.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dim < var_space_dim)
- throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "v", var);
-
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is the disequality relation symbol");
-
- // First compute the affine image.
- affine_image(var, expr, denominator);
-
- if (relsym == EQUAL)
- // The affine relation is indeed an affine function.
- return;
-
- // Any image of an empty box is empty.
- if (is_empty())
- return;
-
- ITV& seq_var = seq[var.id()];
- switch (relsym) {
- case LESS_OR_EQUAL:
- seq_var.lower_extend();
- break;
- case LESS_THAN:
- seq_var.lower_extend();
- if (!seq_var.upper_is_boundary_infinity())
- seq_var.remove_sup();
- break;
- case GREATER_OR_EQUAL:
- seq_var.upper_extend();
- break;
- case GREATER_THAN:
- seq_var.upper_extend();
- if (!seq_var.lower_is_boundary_infinity())
- seq_var.remove_inf();
- break;
- default:
- // The EQUAL and NOT_EQUAL cases have been already dealt with.
- PPL_UNREACHABLE;
- break;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>
-::generalized_affine_preimage(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator)
-{
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "d == 0");
-
- // Dimension-compatibility checks.
- const dimension_type space_dim = space_dimension();
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- if (space_dim < expr.space_dimension())
- throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "e", expr);
- // `var' should be one of the dimensions of the box.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dim < var_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "v", var);
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is the disequality relation symbol");
-
- // Check whether the affine relation is indeed an affine function.
- if (relsym == EQUAL) {
- affine_preimage(var, expr, denominator);
- return;
- }
-
- // Compute the reversed relation symbol to simplify later coding.
- Relation_Symbol reversed_relsym;
- switch (relsym) {
- case LESS_THAN:
- reversed_relsym = GREATER_THAN;
- break;
- case LESS_OR_EQUAL:
- reversed_relsym = GREATER_OR_EQUAL;
- break;
- case GREATER_OR_EQUAL:
- reversed_relsym = LESS_OR_EQUAL;
- break;
- case GREATER_THAN:
- reversed_relsym = LESS_THAN;
- break;
- default:
- // The EQUAL and NOT_EQUAL cases have been already dealt with.
- PPL_UNREACHABLE;
- break;
- }
-
- // Check whether the preimage of this affine relation can be easily
- // computed as the image of its inverse relation.
- const Coefficient& var_coefficient = expr.coefficient(var);
- if (var_coefficient != 0) {
- Linear_Expression inverse_expr
- = expr - (denominator + var_coefficient) * var;
- PPL_DIRTY_TEMP_COEFFICIENT(inverse_denominator);
- neg_assign(inverse_denominator, var_coefficient);
- Relation_Symbol inverse_relsym
- = (sgn(denominator) == sgn(inverse_denominator))
- ? relsym
- : reversed_relsym;
- generalized_affine_image(var, inverse_relsym, inverse_expr,
- inverse_denominator);
- return;
- }
-
- // Here `var_coefficient == 0', so that the preimage cannot
- // be easily computed by inverting the affine relation.
- // Shrink the box by adding the constraint induced
- // by the affine relation.
- // First, compute the maximum and minimum value reached by
- // `denominator*var' on the box as we need to use non-relational
- // expressions.
- PPL_DIRTY_TEMP(Coefficient, max_numer);
- PPL_DIRTY_TEMP(Coefficient, max_denom);
- bool max_included;
- bool bound_above = maximize(denominator*var, max_numer, max_denom, max_included);
- PPL_DIRTY_TEMP(Coefficient, min_numer);
- PPL_DIRTY_TEMP(Coefficient, min_denom);
- bool min_included;
- bool bound_below = minimize(denominator*var, min_numer, min_denom, min_included);
- // Use the correct relation symbol
- const Relation_Symbol corrected_relsym
- = (denominator > 0) ? relsym : reversed_relsym;
- // Revise the expression to take into account the denominator of the
- // maximum/minimum value for `var'.
- Linear_Expression revised_expr;
- PPL_DIRTY_TEMP_COEFFICIENT(d);
- if (corrected_relsym == LESS_THAN || corrected_relsym == LESS_OR_EQUAL) {
- if (bound_below) {
- revised_expr = expr;
- revised_expr.set_inhomogeneous_term(Coefficient_zero());
- revised_expr *= d;
- }
- }
- else {
- if (bound_above) {
- revised_expr = expr;
- revised_expr.set_inhomogeneous_term(Coefficient_zero());
- revised_expr *= max_denom;
- }
- }
-
- switch (corrected_relsym) {
- case LESS_THAN:
- if (bound_below)
- refine_with_constraint(min_numer < revised_expr);
- break;
- case LESS_OR_EQUAL:
- if (bound_below)
- (min_included)
- ? refine_with_constraint(min_numer <= revised_expr)
- : refine_with_constraint(min_numer < revised_expr);
- break;
- case GREATER_OR_EQUAL:
- if (bound_above)
- (max_included)
- ? refine_with_constraint(max_numer >= revised_expr)
- : refine_with_constraint(max_numer > revised_expr);
- break;
- case GREATER_THAN:
- if (bound_above)
- refine_with_constraint(max_numer > revised_expr);
- break;
- default:
- // The EQUAL and NOT_EQUAL cases have been already dealt with.
- PPL_UNREACHABLE;
- break;
- }
- // If the shrunk box is empty, its preimage is empty too.
- if (is_empty())
- return;
- ITV& seq_v = seq[var.id()];
- seq_v.assign(UNIVERSE);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>
-::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- // Dimension-compatibility checks.
- // The dimension of `lhs' should not be greater than the dimension
- // of `*this'.
- dimension_type lhs_space_dim = lhs.space_dimension();
- const dimension_type space_dim = space_dimension();
- if (space_dim < lhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
- // The dimension of `rhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type rhs_space_dim = rhs.space_dimension();
- if (space_dim < rhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
-
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is the disequality relation symbol");
-
- // Any image of an empty box is empty.
- if (marked_empty())
- return;
-
- // Compute the maximum and minimum value reached by the rhs on the box.
- PPL_DIRTY_TEMP(Coefficient, max_numer);
- PPL_DIRTY_TEMP(Coefficient, max_denom);
- bool max_included;
- bool max_rhs = maximize(rhs, max_numer, max_denom, max_included);
- PPL_DIRTY_TEMP(Coefficient, min_numer);
- PPL_DIRTY_TEMP(Coefficient, min_denom);
- bool min_included;
- bool min_rhs = minimize(rhs, min_numer, min_denom, min_included);
-
- // Check whether there is 0, 1 or more than one variable in the lhs
- // and record the variable with the highest dimension; set the box
- // intervals to be unbounded for all other dimensions with non-zero
- // coefficients in the lhs.
- bool has_var = false;
- dimension_type has_var_id = lhs.last_nonzero();
-
- if (has_var_id != 0) {
- has_var = true;
- --has_var_id;
- dimension_type other_var = lhs.first_nonzero(1, has_var_id + 1);
- --other_var;
- if (other_var != has_var_id) {
- // There is more than one dimension with non-zero coefficient, so
- // we cannot have any information about the dimensions in the lhs.
- ITV& seq_var = seq[has_var_id];
- seq_var.assign(UNIVERSE);
- // Since all but the highest dimension with non-zero coefficient
- // in the lhs have been set unbounded, it remains to set the
- // highest dimension in the lhs unbounded.
- ITV& seq_i = seq[other_var];
- seq_i.assign(UNIVERSE);
- PPL_ASSERT(OK());
- return;
- }
- }
-
- if (has_var) {
- // There is exactly one dimension with non-zero coefficient.
- ITV& seq_var = seq[has_var_id];
-
- // Compute the new bounds for this dimension defined by the rhs
- // expression.
- const Coefficient& inhomo = lhs.inhomogeneous_term();
- const Coefficient& coeff = lhs.coefficient(Variable(has_var_id));
- PPL_DIRTY_TEMP(mpq_class, q_max);
- PPL_DIRTY_TEMP(mpq_class, q_min);
- if (max_rhs) {
- max_numer -= inhomo * max_denom;
- max_denom *= coeff;
- assign_r(q_max.get_num(), max_numer, ROUND_NOT_NEEDED);
- assign_r(q_max.get_den(), max_denom, ROUND_NOT_NEEDED);
- q_max.canonicalize();
- }
- if (min_rhs) {
- min_numer -= inhomo * min_denom;
- min_denom *= coeff;
- assign_r(q_min.get_num(), min_numer, ROUND_NOT_NEEDED);
- assign_r(q_min.get_den(), min_denom, ROUND_NOT_NEEDED);
- q_min.canonicalize();
- }
-
- // The choice as to which bounds should be set depends on the sign
- // of the coefficient of the dimension `has_var_id' in the lhs.
- if (coeff > 0)
- // The coefficient of the dimension in the lhs is positive.
- switch (relsym) {
- case LESS_OR_EQUAL:
- if (max_rhs) {
- Relation_Symbol rel = max_included ? LESS_OR_EQUAL : LESS_THAN;
- seq_var.build(i_constraint(rel, q_max));
- }
- else
- seq_var.assign(UNIVERSE);
- break;
- case LESS_THAN:
- if (max_rhs)
- seq_var.build(i_constraint(LESS_THAN, q_max));
- else
- seq_var.assign(UNIVERSE);
- break;
- case EQUAL:
- {
- I_Constraint<mpq_class> l;
- I_Constraint<mpq_class> u;
- if (max_rhs)
- u.set(max_included ? LESS_OR_EQUAL : LESS_THAN, q_max);
- if (min_rhs)
- l.set(min_included ? GREATER_OR_EQUAL : GREATER_THAN, q_min);
- seq_var.build(l, u);
- break;
- }
- case GREATER_OR_EQUAL:
- if (min_rhs) {
- Relation_Symbol rel = min_included ? GREATER_OR_EQUAL : GREATER_THAN;
- seq_var.build(i_constraint(rel, q_min));
- }
- else
- seq_var.assign(UNIVERSE);
- break;
- case GREATER_THAN:
- if (min_rhs)
- seq_var.build(i_constraint(GREATER_THAN, q_min));
- else
- seq_var.assign(UNIVERSE);
- break;
- default:
- // The NOT_EQUAL case has been already dealt with.
- PPL_UNREACHABLE;
- break;
- }
- else
- // The coefficient of the dimension in the lhs is negative.
- switch (relsym) {
- case GREATER_OR_EQUAL:
- if (min_rhs) {
- Relation_Symbol rel = min_included ? LESS_OR_EQUAL : LESS_THAN;
- seq_var.build(i_constraint(rel, q_min));
- }
- else
- seq_var.assign(UNIVERSE);
- break;
- case GREATER_THAN:
- if (min_rhs)
- seq_var.build(i_constraint(LESS_THAN, q_min));
- else
- seq_var.assign(UNIVERSE);
- break;
- case EQUAL:
- {
- I_Constraint<mpq_class> l;
- I_Constraint<mpq_class> u;
- if (max_rhs)
- l.set(max_included ? GREATER_OR_EQUAL : GREATER_THAN, q_max);
- if (min_rhs)
- u.set(min_included ? LESS_OR_EQUAL : LESS_THAN, q_min);
- seq_var.build(l, u);
- break;
- }
- case LESS_OR_EQUAL:
- if (max_rhs) {
- Relation_Symbol rel = max_included ? GREATER_OR_EQUAL : GREATER_THAN;
- seq_var.build(i_constraint(rel, q_max));
- }
- else
- seq_var.assign(UNIVERSE);
- break;
- case LESS_THAN:
- if (max_rhs)
- seq_var.build(i_constraint(GREATER_THAN, q_max));
- else
- seq_var.assign(UNIVERSE);
- break;
- default:
- // The NOT_EQUAL case has been already dealt with.
- PPL_UNREACHABLE;
- break;
- }
- }
-
- else {
- // The lhs is a constant value, so we just need to add the
- // appropriate constraint.
- const Coefficient& inhomo = lhs.inhomogeneous_term();
- switch (relsym) {
- case LESS_THAN:
- refine_with_constraint(inhomo < rhs);
- break;
- case LESS_OR_EQUAL:
- refine_with_constraint(inhomo <= rhs);
- break;
- case EQUAL:
- refine_with_constraint(inhomo == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_with_constraint(inhomo >= rhs);
- break;
- case GREATER_THAN:
- refine_with_constraint(inhomo > rhs);
- break;
- default:
- // The NOT_EQUAL case has been already dealt with.
- PPL_UNREACHABLE;
- break;
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-void
-Box<ITV>::generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- // Dimension-compatibility checks.
- // The dimension of `lhs' should not be greater than the dimension
- // of `*this'.
- dimension_type lhs_space_dim = lhs.space_dimension();
- const dimension_type space_dim = space_dimension();
- if (space_dim < lhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
- // The dimension of `rhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type rhs_space_dim = rhs.space_dimension();
- if (space_dim < rhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
-
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is the disequality relation symbol");
-
- // Any image of an empty box is empty.
- if (marked_empty())
- return;
-
- // For any dimension occurring in the lhs, swap and change the sign
- // of this component for the rhs and lhs. Then use these in a call
- // to generalized_affine_image/3.
- Linear_Expression revised_lhs = lhs;
- Linear_Expression revised_rhs = rhs;
- for (Linear_Expression::const_iterator i = lhs.begin(),
- i_end = lhs.end(); i != i_end; ++i) {
- const Variable var = i.variable();
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
- tmp = *i;
- tmp += rhs.coefficient(var);
- sub_mul_assign(revised_rhs, tmp, var);
- sub_mul_assign(revised_lhs, tmp, var);
- }
- generalized_affine_image(revised_lhs, relsym, revised_rhs);
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-template <typename T, typename Iterator>
-typename Enable_If<Is_Same<T, Box<ITV> >::value
- && Is_Same_Or_Derived<Interval_Base, ITV>::value,
- void>::type
-Box<ITV>::CC76_widening_assign(const T& y, Iterator first, Iterator last) {
- if (y.is_empty())
- return;
-
- for (dimension_type i = seq.size(); i-- > 0; )
- seq[i].CC76_widening_assign(y.seq[i], first, last);
-
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-template <typename T>
-typename Enable_If<Is_Same<T, Box<ITV> >::value
- && Is_Same_Or_Derived<Interval_Base, ITV>::value,
- void>::type
-Box<ITV>::CC76_widening_assign(const T& y, unsigned* tp) {
- static typename ITV::boundary_type stop_points[] = {
- typename ITV::boundary_type(-2),
- typename ITV::boundary_type(-1),
- typename ITV::boundary_type(0),
- typename ITV::boundary_type(1),
- typename ITV::boundary_type(2)
- };
-
- Box& x = *this;
- // If there are tokens available, work on a temporary copy.
- if (tp != 0 && *tp > 0) {
- Box<ITV> x_tmp(x);
- x_tmp.CC76_widening_assign(y, 0);
- // If the widening was not precise, use one of the available tokens.
- if (!x.contains(x_tmp))
- --(*tp);
- return;
- }
- x.CC76_widening_assign(y,
- stop_points,
- stop_points
- + sizeof(stop_points)/sizeof(stop_points[0]));
-}
-
-template <typename ITV>
-void
-Box<ITV>::get_limiting_box(const Constraint_System& cs,
- Box& limiting_box) const {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(cs.space_dimension() <= space_dimension());
-
- for (Constraint_System::const_iterator cs_i = cs.begin(),
- cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
- const Constraint& c = *cs_i;
- dimension_type c_num_vars = 0;
- dimension_type c_only_var = 0;
- // Constraints that are not interval constraints are ignored.
- if (!Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var))
- continue;
- // Trivial constraints are ignored.
- if (c_num_vars != 0) {
- // c is a non-trivial interval constraint.
- // add interval constraint to limiting box
- const Coefficient& n = c.inhomogeneous_term();
- const Coefficient& d = c.coefficient(Variable(c_only_var));
- if (interval_relation(seq[c_only_var], c.type(), n, d)
- == Poly_Con_Relation::is_included())
- limiting_box.add_interval_constraint_no_check(c_only_var, c.type(),
- n, d);
- }
- }
-}
-
-template <typename ITV>
-void
-Box<ITV>::limited_CC76_extrapolation_assign(const Box& y,
- const Constraint_System& cs,
- unsigned* tp) {
- Box& x = *this;
- const dimension_type space_dim = x.space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("limited_CC76_extrapolation_assign(y, cs)",
- y);
- // `cs' must be dimension-compatible with the two boxes.
- const dimension_type cs_space_dim = cs.space_dimension();
- if (space_dim < cs_space_dim)
- throw_constraint_incompatible("limited_CC76_extrapolation_assign(y, cs)");
-
- // The limited CC76-extrapolation between two boxes in a
- // zero-dimensional space is also a zero-dimensional box
- if (space_dim == 0)
- return;
-
- // Assume `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- // Build a limiting box using all the constraints in cs
- // that are satisfied by *this.
- Box limiting_box(space_dim, UNIVERSE);
- get_limiting_box(cs, limiting_box);
-
- x.CC76_widening_assign(y, tp);
-
- // Intersect the widened box with the limiting box.
- intersection_assign(limiting_box);
-}
-
-template <typename ITV>
-template <typename T>
-typename Enable_If<Is_Same<T, Box<ITV> >::value
- && Is_Same_Or_Derived<Interval_Base, ITV>::value,
- void>::type
-Box<ITV>::CC76_narrowing_assign(const T& y) {
- const dimension_type space_dim = space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dimension())
- throw_dimension_incompatible("CC76_narrowing_assign(y)", y);
-
- // Assume `*this' is contained in or equal to `y'.
- PPL_EXPECT_HEAVY(copy_contains(y, *this));
-
- // If both boxes are zero-dimensional,
- // since `y' contains `*this', we simply return `*this'.
- if (space_dim == 0)
- return;
-
- // If `y' is empty, since `y' contains `this', `*this' is empty too.
- if (y.is_empty())
- return;
- // If `*this' is empty, we return.
- if (is_empty())
- return;
-
- // Replace each constraint in `*this' by the corresponding constraint
- // in `y' if the corresponding inhomogeneous terms are both finite.
- for (dimension_type i = space_dim; i-- > 0; ) {
- ITV& x_i = seq[i];
- const ITV& y_i = y.seq[i];
- if (!x_i.lower_is_boundary_infinity()
- && !y_i.lower_is_boundary_infinity()
- && x_i.lower() != y_i.lower())
- x_i.lower() = y_i.lower();
- if (!x_i.upper_is_boundary_infinity()
- && !y_i.upper_is_boundary_infinity()
- && x_i.upper() != y_i.upper())
- x_i.upper() = y_i.upper();
- }
- PPL_ASSERT(OK());
-}
-
-template <typename ITV>
-Constraint_System
-Box<ITV>::constraints() const {
- const dimension_type space_dim = space_dimension();
- Constraint_System cs;
- cs.set_space_dimension(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cs = Constraint_System::zero_dim_empty();
- return cs;
- }
-
- if (marked_empty()) {
- cs.insert(Constraint::zero_dim_false());
- return cs;
- }
-
- for (dimension_type k = 0; k < space_dim; ++k) {
- const Variable v_k = Variable(k);
- PPL_DIRTY_TEMP(Coefficient, n);
- PPL_DIRTY_TEMP(Coefficient, d);
- bool closed = false;
- if (has_lower_bound(v_k, n, d, closed)) {
- if (closed)
- cs.insert(d * v_k >= n);
- else
- cs.insert(d * v_k > n);
- }
- if (has_upper_bound(v_k, n, d, closed)) {
- if (closed)
- cs.insert(d * v_k <= n);
- else
- cs.insert(d * v_k < n);
- }
- }
- return cs;
-}
-
-template <typename ITV>
-Constraint_System
-Box<ITV>::minimized_constraints() const {
- const dimension_type space_dim = space_dimension();
- Constraint_System cs;
- cs.set_space_dimension(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cs = Constraint_System::zero_dim_empty();
- return cs;
- }
-
- // Make sure emptiness is detected.
- if (is_empty()) {
- cs.insert(Constraint::zero_dim_false());
- return cs;
- }
-
- for (dimension_type k = 0; k < space_dim; ++k) {
- const Variable v_k = Variable(k);
- PPL_DIRTY_TEMP(Coefficient, n);
- PPL_DIRTY_TEMP(Coefficient, d);
- bool closed = false;
- if (has_lower_bound(v_k, n, d, closed)) {
- if (closed)
- // Make sure equality constraints are detected.
- if (seq[k].is_singleton()) {
- cs.insert(d * v_k == n);
- continue;
- }
- else
- cs.insert(d * v_k >= n);
- else
- cs.insert(d * v_k > n);
- }
- if (has_upper_bound(v_k, n, d, closed)) {
- if (closed)
- cs.insert(d * v_k <= n);
- else
- cs.insert(d * v_k < n);
- }
- }
- return cs;
-}
-
-template <typename ITV>
-Congruence_System
-Box<ITV>::congruences() const {
- const dimension_type space_dim = space_dimension();
- Congruence_System cgs(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cgs = Congruence_System::zero_dim_empty();
- return cgs;
- }
-
- // Make sure emptiness is detected.
- if (is_empty()) {
- cgs.insert(Congruence::zero_dim_false());
- return cgs;
- }
-
- for (dimension_type k = 0; k < space_dim; ++k) {
- const Variable v_k = Variable(k);
- PPL_DIRTY_TEMP(Coefficient, n);
- PPL_DIRTY_TEMP(Coefficient, d);
- bool closed = false;
- if (has_lower_bound(v_k, n, d, closed) && closed)
- // Make sure equality congruences are detected.
- if (seq[k].is_singleton())
- cgs.insert((d * v_k %= n) / 0);
- }
- return cgs;
-}
-
-template <typename ITV>
-memory_size_type
-Box<ITV>::external_memory_in_bytes() const {
- memory_size_type n = seq.capacity() * sizeof(ITV);
- for (dimension_type k = seq.size(); k-- > 0; )
- n += seq[k].external_memory_in_bytes();
- return n;
-}
-
-/*! \relates Parma_Polyhedra_Library::Box */
-template <typename ITV>
-std::ostream&
-IO_Operators::operator<<(std::ostream& s, const Box<ITV>& box) {
- if (box.is_empty())
- s << "false";
- else if (box.is_universe())
- s << "true";
- else
- for (dimension_type k = 0,
- space_dim = box.space_dimension(); k < space_dim; ) {
- s << Variable(k) << " in " << box[k];
- ++k;
- if (k < space_dim)
- s << ", ";
- else
- break;
- }
- return s;
-}
-
-template <typename ITV>
-void
-Box<ITV>::ascii_dump(std::ostream& s) const {
- const char separator = ' ';
- status.ascii_dump(s);
- const dimension_type space_dim = space_dimension();
- s << "space_dim" << separator << space_dim;
- s << "\n";
- for (dimension_type i = 0; i < space_dim; ++i)
- seq[i].ascii_dump(s);
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(ITV, Box<ITV>)
-
-template <typename ITV>
-bool
-Box<ITV>::ascii_load(std::istream& s) {
- if (!status.ascii_load(s))
- return false;
-
- std::string str;
- dimension_type space_dim;
- if (!(s >> str) || str != "space_dim")
- return false;
- if (!(s >> space_dim))
- return false;
-
- seq.clear();
- ITV seq_i;
- for (dimension_type i = 0; i < space_dim; ++i) {
- if (seq_i.ascii_load(s))
- seq.push_back(seq_i);
- else
- return false;
- }
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const Box& y) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << this->space_dimension()
- << ", y->space_dimension() == " << y.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>
-::throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", required dimension == " << required_dim << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const Constraint& c) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", c->space_dimension == " << c.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const Congruence& cg) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", cg->space_dimension == " << cg.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const Constraint_System& cs) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", cs->space_dimension == " << cs.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const Congruence_System& cgs) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", cgs->space_dimension == " << cgs.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const Generator& g) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", g->space_dimension == " << g.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_constraint_incompatible(const char* method) {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "the constraint is incompatible.";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_expression_too_complex(const char* method,
- const Linear_Expression& le) {
- using namespace IO_Operators;
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << le << " is too complex.";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << "this->space_dimension() == " << space_dimension()
- << ", " << le_name << "->space_dimension() == "
- << le.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-template <typename C>
-void
-Box<ITV>::throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", " << lf_name << "->space_dimension() == "
- << lf.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename ITV>
-void
-Box<ITV>::throw_invalid_argument(const char* method, const char* reason) {
- std::ostringstream s;
- s << "PPL::Box::" << method << ":" << std::endl
- << reason;
- throw std::invalid_argument(s.str());
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Box */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Specialization,
- typename Temp, typename To, typename ITV>
-bool
-l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x, const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2) {
- const dimension_type x_space_dim = x.space_dimension();
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- return false;
-
- // Zero-dim boxes are equal if and only if they are both empty or universe.
- if (x_space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires a check for emptiness.
- (void) x.is_empty();
- (void) y.is_empty();
- // If one of two boxes is empty, then they are equal if and only if
- // the other box is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty()) {
- assign_r(r, 0, ROUND_NOT_NEEDED);
- return true;
- }
- else
- goto pinf;
- }
-
- assign_r(tmp0, 0, ROUND_NOT_NEEDED);
- for (dimension_type i = x_space_dim; i-- > 0; ) {
- const ITV& x_i = x.seq[i];
- const ITV& y_i = y.seq[i];
- // Dealing with the lower bounds.
- if (x_i.lower_is_boundary_infinity()) {
- if (!y_i.lower_is_boundary_infinity())
- goto pinf;
- }
- else if (y_i.lower_is_boundary_infinity())
- goto pinf;
- else {
- const Temp* tmp1p;
- const Temp* tmp2p;
- if (x_i.lower() > y_i.lower()) {
- maybe_assign(tmp1p, tmp1, x_i.lower(), dir);
- maybe_assign(tmp2p, tmp2, y_i.lower(), inverse(dir));
- }
- else {
- maybe_assign(tmp1p, tmp1, y_i.lower(), dir);
- maybe_assign(tmp2p, tmp2, x_i.lower(), inverse(dir));
- }
- sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
- PPL_ASSERT(sgn(tmp1) >= 0);
- Specialization::combine(tmp0, tmp1, dir);
- }
- // Dealing with the lower bounds.
- if (x_i.upper_is_boundary_infinity())
- if (y_i.upper_is_boundary_infinity())
- continue;
- else
- goto pinf;
- else if (y_i.upper_is_boundary_infinity())
- goto pinf;
- else {
- const Temp* tmp1p;
- const Temp* tmp2p;
- if (x_i.upper() > y_i.upper()) {
- maybe_assign(tmp1p, tmp1, x_i.upper(), dir);
- maybe_assign(tmp2p, tmp2, y_i.upper(), inverse(dir));
- }
- else {
- maybe_assign(tmp1p, tmp1, y_i.upper(), dir);
- maybe_assign(tmp2p, tmp2, x_i.upper(), inverse(dir));
- }
- sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
- PPL_ASSERT(sgn(tmp1) >= 0);
- Specialization::combine(tmp0, tmp1, dir);
- }
- }
- Specialization::finalize(tmp0, dir);
- assign_r(r, tmp0, dir);
- return true;
-
- pinf:
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Box_templates_hh)
diff --git a/src/Box.types.hh b/src/Box.types.hh
deleted file mode 100644
index 298b6cd..0000000
--- a/src/Box.types.hh
+++ /dev/null
@@ -1,25 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Box_types_hh
-#define PPL_Box_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Interval>
-class Box;
-
-class Box_Helpers;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Box_types_hh)
diff --git a/src/Box_Status.idefs.hh b/src/Box_Status.idefs.hh
deleted file mode 100644
index c0dc5e6..0000000
--- a/src/Box_Status.idefs.hh
+++ /dev/null
@@ -1,115 +0,0 @@
-/* Box<ITV>::Status class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Box_Status_idefs_hh
-#define PPL_Box_Status_idefs_hh 1
-
-#ifndef PPL_IN_Box_CLASS
-#error "Do not include Box_Status.idefs.hh directly; use Box.defs.hh instead"
-#endif
-
-//! A conjunctive assertion about a Box<ITV> object.
-/*! \ingroup PPL_CXX_interface
- The assertions supported are:
- - <EM>empty up-to-date</EM>: the empty flag is meaningful;
- - <EM>empty</EM>: the box is the empty set.
- - <EM>universe</EM>: the box is universe \f$n\f$-dimensional vector space
- \f$\Rset^n\f$.
-
- Not all the conjunctions of these elementary assertions constitute
- a legal Status. In fact:
- - <EM>empty up-to-date</EM> and <EM>empty</EM> excludes <EM>universe</EM>.
-*/
-class Status;
-
-class Status {
-public:
- //! By default Status is the empty set of assertion.
- Status();
-
- //! Ordinary copy constructor.
- Status(const Status& y);
-
- //! Copy constructor from a box of different type.
- template <typename Other_ITV>
- Status(const typename Box<Other_ITV>::Status& y);
-
- //! \name Test, remove or add an individual assertion from the conjunction.
- //@{
- bool test_empty_up_to_date() const;
- void reset_empty_up_to_date();
- void set_empty_up_to_date();
-
- bool test_empty() const;
- void reset_empty();
- void set_empty();
-
- bool test_universe() const;
- void reset_universe();
- void set_universe();
- //@}
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
-private:
- //! Status is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bit-masks for the individual assertions.
- //@{
- static const flags_t NONE = 0U;
- static const flags_t EMPTY_UP_TO_DATE = 1U << 0;
- static const flags_t EMPTY = 1U << 1;
- static const flags_t UNIVERSE = 1U << 2;
- //@}
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! Construct from a bit-mask.
- Status(flags_t mask);
-
- //! Check whether <EM>all</EM> bits in \p mask are set.
- bool test_all(flags_t mask) const;
-
- //! Check whether <EM>at least one</EM> bit in \p mask is set.
- bool test_any(flags_t mask) const;
-
- //! Set the bits in \p mask.
- void set(flags_t mask);
-
- //! Reset the bits in \p mask.
- void reset(flags_t mask);
-};
-
-#endif // !defined(PPL_Box_Status_idefs_hh)
diff --git a/src/Box_Status.inlines.hh b/src/Box_Status.inlines.hh
deleted file mode 100644
index 0153073..0000000
--- a/src/Box_Status.inlines.hh
+++ /dev/null
@@ -1,228 +0,0 @@
-/* Box<ITV>::Status class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Box_Status_inlines_hh
-#define PPL_Box_Status_inlines_hh 1
-
-#include <string>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename ITV>
-inline
-Box<ITV>::Status::Status(flags_t mask)
- : flags(mask) {
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Status::Status(const Status& y)
- : flags(y.flags) {
-}
-
-template <typename ITV>
-template <typename Other_ITV>
-inline
-Box<ITV>::Status::Status(const typename Box<Other_ITV>::Status& y)
- : flags(y.flags) {
-}
-
-template <typename ITV>
-inline
-Box<ITV>::Status::Status()
- : flags(NONE) {
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::Status::test_all(flags_t mask) const {
- return (flags & mask) == mask;
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::Status::test_any(flags_t mask) const {
- return (flags & mask) != 0;
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::set(flags_t mask) {
- flags |= mask;
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::reset(flags_t mask) {
- flags &= ~mask;
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::Status::test_empty_up_to_date() const {
- return test_any(EMPTY_UP_TO_DATE);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::reset_empty_up_to_date() {
- reset(EMPTY_UP_TO_DATE);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::set_empty_up_to_date() {
- set(EMPTY_UP_TO_DATE);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::Status::test_empty() const {
- return test_any(EMPTY);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::reset_empty() {
- reset(EMPTY);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::set_empty() {
- set(EMPTY);
-}
-
-template <typename ITV>
-inline bool
-Box<ITV>::Status::test_universe() const {
- return test_any(UNIVERSE);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::reset_universe() {
- reset(UNIVERSE);
-}
-
-template <typename ITV>
-inline void
-Box<ITV>::Status::set_universe() {
- set(UNIVERSE);
-}
-
-template <typename ITV>
-bool
-Box<ITV>::Status::OK() const {
- if (test_empty_up_to_date()
- && test_empty()
- && test_universe()) {
-#ifndef NDEBUG
- std::cerr
- << "The status asserts emptiness and universality at the same time."
- << std::endl;
-#endif
- return false;
- }
-
- // Any other case is OK.
- return true;
-}
-
-
-namespace Implementation {
-
-namespace Boxes {
-
-// These are the keywords that indicate the individual assertions.
-const std::string empty_up_to_date = "EUP";
-const std::string empty = "EM";
-const std::string universe = "UN";
-const char yes = '+';
-const char no = '-';
-const char separator = ' ';
-
-/*! \relates Parma_Polyhedra_Library::Box::Status
- Reads a keyword and its associated on/off flag from \p s.
- Returns <CODE>true</CODE> if the operation is successful,
- returns <CODE>false</CODE> otherwise.
- When successful, \p positive is set to <CODE>true</CODE> if the flag
- is on; it is set to <CODE>false</CODE> otherwise.
-*/
-inline bool
-get_field(std::istream& s, const std::string& keyword, bool& positive) {
- std::string str;
- if (!(s >> str)
- || (str[0] != yes && str[0] != no)
- || str.substr(1) != keyword)
- return false;
- positive = (str[0] == yes);
- return true;
-}
-
-} // namespace Boxes
-
-} // namespace Implementation
-
-template <typename ITV>
-void
-Box<ITV>::Status::ascii_dump(std::ostream& s) const {
- using namespace Implementation::Boxes;
- s << (test_empty_up_to_date() ? yes : no) << empty_up_to_date << separator
- << (test_empty() ? yes : no) << empty << separator
- << (test_universe() ? yes : no) << universe << separator;
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(ITV, Box<ITV>::Status)
-
-template <typename ITV>
-bool
-Box<ITV>::Status::ascii_load(std::istream& s) {
- using namespace Implementation::Boxes;
- PPL_UNINITIALIZED(bool, positive);
-
- if (!get_field(s, Implementation::Boxes::empty_up_to_date, positive))
- return false;
- if (positive)
- set_empty_up_to_date();
-
- if (!get_field(s, Implementation::Boxes::empty, positive))
- return false;
- if (positive)
- set_empty();
-
- if (!get_field(s, universe, positive))
- return false;
- if (positive)
- set_universe();
- else
- reset_universe();
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Box_Status_inlines_hh)
diff --git a/src/Box_Status_idefs.hh b/src/Box_Status_idefs.hh
new file mode 100644
index 0000000..8ec9fcd
--- /dev/null
+++ b/src/Box_Status_idefs.hh
@@ -0,0 +1,115 @@
+/* Box<ITV>::Status class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Box_Status_idefs_hh
+#define PPL_Box_Status_idefs_hh 1
+
+#ifndef PPL_IN_Box_CLASS
+#error "Do not include Box_Status_idefs.hh directly; use Box_defs.hh instead"
+#endif
+
+//! A conjunctive assertion about a Box<ITV> object.
+/*! \ingroup PPL_CXX_interface
+ The assertions supported are:
+ - <EM>empty up-to-date</EM>: the empty flag is meaningful;
+ - <EM>empty</EM>: the box is the empty set.
+ - <EM>universe</EM>: the box is universe \f$n\f$-dimensional vector space
+ \f$\Rset^n\f$.
+
+ Not all the conjunctions of these elementary assertions constitute
+ a legal Status. In fact:
+ - <EM>empty up-to-date</EM> and <EM>empty</EM> excludes <EM>universe</EM>.
+*/
+class Status;
+
+class Status {
+public:
+ //! By default Status is the empty set of assertion.
+ Status();
+
+ //! Ordinary copy constructor.
+ Status(const Status& y);
+
+ //! Copy constructor from a box of different type.
+ template <typename Other_ITV>
+ Status(const typename Box<Other_ITV>::Status& y);
+
+ //! \name Test, remove or add an individual assertion from the conjunction.
+ //@{
+ bool test_empty_up_to_date() const;
+ void reset_empty_up_to_date();
+ void set_empty_up_to_date();
+
+ bool test_empty() const;
+ void reset_empty();
+ void set_empty();
+
+ bool test_universe() const;
+ void reset_universe();
+ void set_universe();
+ //@}
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+private:
+ //! Status is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bit-masks for the individual assertions.
+ //@{
+ static const flags_t NONE = 0U;
+ static const flags_t EMPTY_UP_TO_DATE = 1U << 0;
+ static const flags_t EMPTY = 1U << 1;
+ static const flags_t UNIVERSE = 1U << 2;
+ //@}
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! Construct from a bit-mask.
+ Status(flags_t mask);
+
+ //! Check whether <EM>all</EM> bits in \p mask are set.
+ bool test_all(flags_t mask) const;
+
+ //! Check whether <EM>at least one</EM> bit in \p mask is set.
+ bool test_any(flags_t mask) const;
+
+ //! Set the bits in \p mask.
+ void set(flags_t mask);
+
+ //! Reset the bits in \p mask.
+ void reset(flags_t mask);
+};
+
+#endif // !defined(PPL_Box_Status_idefs_hh)
diff --git a/src/Box_Status_inlines.hh b/src/Box_Status_inlines.hh
new file mode 100644
index 0000000..84d89c3
--- /dev/null
+++ b/src/Box_Status_inlines.hh
@@ -0,0 +1,228 @@
+/* Box<ITV>::Status class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Box_Status_inlines_hh
+#define PPL_Box_Status_inlines_hh 1
+
+#include <string>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename ITV>
+inline
+Box<ITV>::Status::Status(flags_t mask)
+ : flags(mask) {
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Status::Status(const Status& y)
+ : flags(y.flags) {
+}
+
+template <typename ITV>
+template <typename Other_ITV>
+inline
+Box<ITV>::Status::Status(const typename Box<Other_ITV>::Status& y)
+ : flags(y.flags) {
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Status::Status()
+ : flags(NONE) {
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::Status::test_all(flags_t mask) const {
+ return (flags & mask) == mask;
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::Status::test_any(flags_t mask) const {
+ return (flags & mask) != 0;
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::set(flags_t mask) {
+ flags |= mask;
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::reset(flags_t mask) {
+ flags &= ~mask;
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::Status::test_empty_up_to_date() const {
+ return test_any(EMPTY_UP_TO_DATE);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::reset_empty_up_to_date() {
+ reset(EMPTY_UP_TO_DATE);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::set_empty_up_to_date() {
+ set(EMPTY_UP_TO_DATE);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::Status::test_empty() const {
+ return test_any(EMPTY);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::reset_empty() {
+ reset(EMPTY);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::set_empty() {
+ set(EMPTY);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::Status::test_universe() const {
+ return test_any(UNIVERSE);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::reset_universe() {
+ reset(UNIVERSE);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::Status::set_universe() {
+ set(UNIVERSE);
+}
+
+template <typename ITV>
+bool
+Box<ITV>::Status::OK() const {
+ if (test_empty_up_to_date()
+ && test_empty()
+ && test_universe()) {
+#ifndef NDEBUG
+ std::cerr
+ << "The status asserts emptiness and universality at the same time."
+ << std::endl;
+#endif
+ return false;
+ }
+
+ // Any other case is OK.
+ return true;
+}
+
+
+namespace Implementation {
+
+namespace Boxes {
+
+// These are the keywords that indicate the individual assertions.
+const std::string empty_up_to_date = "EUP";
+const std::string empty = "EM";
+const std::string universe = "UN";
+const char yes = '+';
+const char no = '-';
+const char separator = ' ';
+
+/*! \relates Parma_Polyhedra_Library::Box::Status
+ Reads a keyword and its associated on/off flag from \p s.
+ Returns <CODE>true</CODE> if the operation is successful,
+ returns <CODE>false</CODE> otherwise.
+ When successful, \p positive is set to <CODE>true</CODE> if the flag
+ is on; it is set to <CODE>false</CODE> otherwise.
+*/
+inline bool
+get_field(std::istream& s, const std::string& keyword, bool& positive) {
+ std::string str;
+ if (!(s >> str)
+ || (str[0] != yes && str[0] != no)
+ || str.substr(1) != keyword)
+ return false;
+ positive = (str[0] == yes);
+ return true;
+}
+
+} // namespace Boxes
+
+} // namespace Implementation
+
+template <typename ITV>
+void
+Box<ITV>::Status::ascii_dump(std::ostream& s) const {
+ using namespace Implementation::Boxes;
+ s << (test_empty_up_to_date() ? yes : no) << empty_up_to_date << separator
+ << (test_empty() ? yes : no) << empty << separator
+ << (test_universe() ? yes : no) << universe << separator;
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(ITV, Box<ITV>::Status)
+
+template <typename ITV>
+bool
+Box<ITV>::Status::ascii_load(std::istream& s) {
+ using namespace Implementation::Boxes;
+ PPL_UNINITIALIZED(bool, positive);
+
+ if (!get_field(s, Implementation::Boxes::empty_up_to_date, positive))
+ return false;
+ if (positive)
+ set_empty_up_to_date();
+
+ if (!get_field(s, Implementation::Boxes::empty, positive))
+ return false;
+ if (positive)
+ set_empty();
+
+ if (!get_field(s, universe, positive))
+ return false;
+ if (positive)
+ set_universe();
+ else
+ reset_universe();
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Box_Status_inlines_hh)
diff --git a/src/Box_defs.hh b/src/Box_defs.hh
new file mode 100644
index 0000000..2b83268
--- /dev/null
+++ b/src/Box_defs.hh
@@ -0,0 +1,2286 @@
+/* Box class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Box_defs_hh
+#define PPL_Box_defs_hh 1
+
+#include "Box_types.hh"
+#include "globals_types.hh"
+#include "Coefficient_defs.hh"
+#include "Variable_types.hh"
+#include "Variables_Set_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_types.hh"
+#include "Constraint_defs.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_types.hh"
+#include "Generator_System_types.hh"
+#include "Congruence_types.hh"
+#include "Congruence_System_types.hh"
+#include "BD_Shape_types.hh"
+#include "Octagonal_Shape_types.hh"
+#include "Poly_Con_Relation_types.hh"
+#include "Poly_Gen_Relation_types.hh"
+#include "Polyhedron_types.hh"
+#include "Grid_types.hh"
+#include "Partially_Reduced_Product_types.hh"
+#include "intervals_defs.hh"
+#include "Interval_types.hh"
+#include "Linear_Form_types.hh"
+#include <vector>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+struct Interval_Base;
+
+//! Swaps \p x with \p y.
+/*! \relates Box */
+template <typename ITV>
+void swap(Box<ITV>& x, Box<ITV>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are the same box.
+/*! \relates Box
+ Note that \p x and \p y may be dimension-incompatible boxes:
+ in this case, the value <CODE>false</CODE> is returned.
+*/
+template <typename ITV>
+bool operator==(const Box<ITV>& x, const Box<ITV>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are not the same box.
+/*! \relates Box
+ Note that \p x and \p y may be dimension-incompatible boxes:
+ in this case, the value <CODE>true</CODE> is returned.
+*/
+template <typename ITV>
+bool operator!=(const Box<ITV>& x, const Box<ITV>& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Box */
+template <typename ITV>
+std::ostream& operator<<(std::ostream& s, const Box<ITV>& box);
+
+} // namespace IO_Operators
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Box
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename ITV>
+bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Box
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename ITV>
+bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Box
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename ITV>
+bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Box
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename ITV>
+bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Box
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename ITV>
+bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Box
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename ITV>
+bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Box
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename ITV>
+bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Box
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename ITV>
+bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Box
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename ITV>
+bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Box
+ Helper function for computing distances.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Specialization,
+ typename Temp, typename To, typename ITV>
+bool
+l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x, const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A not necessarily closed, iso-oriented hyperrectangle.
+/*! \ingroup PPL_CXX_interface
+ A Box object represents the smash product of \f$n\f$
+ not necessarily closed and possibly unbounded intervals
+ represented by objects of class \p ITV,
+ where \f$n\f$ is the space dimension of the box.
+
+ An <EM>interval constraint</EM> (resp., <EM>interval congruence</EM>)
+ is a syntactic constraint (resp., congruence) that only mentions
+ a single space dimension.
+
+ The Box domain <EM>optimally supports</EM>:
+ - tautological and inconsistent constraints and congruences;
+ - the interval constraints that are optimally supported by
+ the template argument class \c ITV;
+ - the interval congruences that are optimally supported by
+ the template argument class \c ITV.
+
+ Depending on the method, using a constraint or congruence that is not
+ optimally supported by the domain will either raise an exception or
+ result in a (possibly non-optimal) upward approximation.
+
+ The user interface for the Box domain is meant to be as similar
+ as possible to the one developed for the polyhedron class C_Polyhedron.
+*/
+template <typename ITV>
+class Parma_Polyhedra_Library::Box {
+public:
+ //! The type of intervals used to implement the box.
+ typedef ITV interval_type;
+
+ //! Returns the maximum space dimension that a Box can handle.
+ static dimension_type max_space_dimension();
+
+ /*! \brief
+ Returns false indicating that this domain does not recycle constraints
+ */
+ static bool can_recycle_constraint_systems();
+
+ /*! \brief
+ Returns false indicating that this domain does not recycle congruences
+ */
+ static bool can_recycle_congruence_systems();
+
+ //! \name Constructors, Assignment, Swap and Destructor
+ //@{
+
+ //! Builds a universe or empty box of the specified space dimension.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the box;
+
+ \param kind
+ Specifies whether the universe or the empty box has to be built.
+ */
+ explicit Box(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ Box(const Box& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a conservative, upward approximation of \p y.
+ /*!
+ The complexity argument is ignored.
+ */
+ template <typename Other_ITV>
+ explicit Box(const Box<Other_ITV>& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a box from the system of constraints \p cs.
+ /*!
+ The box inherits the space dimension of \p cs.
+
+ \param cs
+ A system of constraints: constraints that are not
+ \ref intervals "interval constraints"
+ are ignored (even though they may have contributed
+ to the space dimension).
+ */
+ explicit Box(const Constraint_System& cs);
+
+ //! Builds a box recycling a system of constraints \p cs.
+ /*!
+ The box inherits the space dimension of \p cs.
+
+ \param cs
+ A system of constraints: constraints that are not
+ \ref intervals "interval constraints"
+ are ignored (even though they may have contributed
+ to the space dimension).
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+ */
+ Box(const Constraint_System& cs, Recycle_Input dummy);
+
+ //! Builds a box from the system of generators \p gs.
+ /*!
+ Builds the smallest box containing the polyhedron defined by \p gs.
+ The box inherits the space dimension of \p gs.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+ */
+ explicit Box(const Generator_System& gs);
+
+ //! Builds a box recycling the system of generators \p gs.
+ /*!
+ Builds the smallest box containing the polyhedron defined by \p gs.
+ The box inherits the space dimension of \p gs.
+
+ \param gs
+ The generator system describing the polyhedron to be approximated.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+ */
+ Box(const Generator_System& gs, Recycle_Input dummy);
+
+ /*!
+ Builds the smallest box containing the grid defined by a
+ system of congruences \p cgs.
+ The box inherits the space dimension of \p cgs.
+
+ \param cgs
+ A system of congruences: congruences that are not
+ non-relational equality constraints are ignored
+ (though they may have contributed to the space dimension).
+ */
+ explicit Box(const Congruence_System& cgs);
+
+ /*!
+ Builds the smallest box containing the grid defined by a
+ system of congruences \p cgs, recycling \p cgs.
+ The box inherits the space dimension of \p cgs.
+
+ \param cgs
+ A system of congruences: congruences that are not
+ non-relational equality constraints are ignored
+ (though they will contribute to the space dimension).
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+ */
+ Box(const Congruence_System& cgs, Recycle_Input dummy);
+
+ //! Builds a box containing the BDS \p bds.
+ /*!
+ Builds the smallest box containing \p bds using a polynomial algorithm.
+ The \p complexity argument is ignored.
+ */
+ template <typename T>
+ explicit Box(const BD_Shape<T>& bds,
+ Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
+
+ //! Builds a box containing the octagonal shape \p oct.
+ /*!
+ Builds the smallest box containing \p oct using a polynomial algorithm.
+ The \p complexity argument is ignored.
+ */
+ template <typename T>
+ explicit Box(const Octagonal_Shape<T>& oct,
+ Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
+
+ //! Builds a box containing the polyhedron \p ph.
+ /*!
+ Builds a box containing \p ph using algorithms whose complexity
+ does not exceed the one specified by \p complexity. If
+ \p complexity is \p ANY_COMPLEXITY, then the built box is the
+ smallest one containing \p ph.
+ */
+ explicit Box(const Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a box containing the grid \p gr.
+ /*!
+ Builds the smallest box containing \p gr using a polynomial algorithm.
+ The \p complexity argument is ignored.
+ */
+ explicit Box(const Grid& gr,
+ Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
+
+ //! Builds a box containing the partially reduced product \p dp.
+ /*!
+ Builds a box containing \p ph using algorithms whose complexity
+ does not exceed the one specified by \p complexity.
+ */
+ template <typename D1, typename D2, typename R>
+ explicit Box(const Partially_Reduced_Product<D1, D2, R>& dp,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator
+ (\p *this and \p y can be dimension-incompatible).
+ */
+ Box& operator=(const Box& y);
+
+ /*! \brief
+ Swaps \p *this with \p y
+ (\p *this and \p y can be dimension-incompatible).
+ */
+ void m_swap(Box& y);
+
+ //@} Constructors, Assignment, Swap and Destructor
+
+ //! \name Member Functions that Do Not Modify the Box
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns \f$0\f$, if \p *this is empty; otherwise, returns the
+ \ref Affine_Independence_and_Affine_Dimension "affine dimension"
+ of \p *this.
+ */
+ dimension_type affine_dimension() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is an empty box.
+ bool is_empty() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a universe box.
+ bool is_universe() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a topologically closed subset of the vector space.
+ */
+ bool is_topologically_closed() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
+ bool is_discrete() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a bounded box.
+ bool is_bounded() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains at least one integer point.
+ */
+ bool contains_integer_point() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ bool constrains(Variable var) const;
+
+ //! Returns the relations holding between \p *this and the constraint \p c.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ //! Returns the relations holding between \p *this and the congruence \p cg.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p cg are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ //! Returns the relations holding between \p *this and the generator \p g.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ Poly_Gen_Relation relation_with(const Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from above in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from below in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d
+ and \p maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value;
+
+ \param g
+ When maximization succeeds, will be assigned the point or
+ closure point where \p expr reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p g are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value;
+
+ \param g
+ When minimization succeeds, will be assigned a point or
+ closure point where \p expr reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p g are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if there exist a
+ unique value \p val such that \p *this
+ saturates the equality <CODE>expr = val</CODE>.
+
+ \param expr
+ The linear expression for which the frequency is needed;
+
+ \param freq_n
+ If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
+ Present for interface compatibility with class Grid, where
+ the \ref Grid_Frequency "frequency" can have a non-zero value;
+
+ \param freq_d
+ If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
+
+ \param val_n
+ The numerator of \p val;
+
+ \param val_d
+ The denominator of \p val;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
+ \p val_n and \p val_d are left untouched.
+ */
+ bool frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this contains \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are dimension-incompatible.
+ */
+ bool contains(const Box& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are dimension-incompatible.
+ */
+ bool strictly_contains(const Box& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
+
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are dimension-incompatible.
+ */
+ bool is_disjoint_from(const Box& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this satisfies
+ all its invariants.
+ */
+ bool OK() const;
+
+ //@} Member Functions that Do Not Modify the Box
+
+ //! \name Space-Dimension Preserving Member Functions that May Modify the Box
+ //@{
+
+ /*! \brief
+ Adds a copy of constraint \p c to the system of constraints
+ defining \p *this.
+
+ \param c
+ The constraint to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible,
+ or \p c is not optimally supported by the Box domain.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of constraints
+ defining \p *this.
+
+ \param cs
+ The constraints to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible,
+ or \p cs contains a constraint which is not optimally supported
+ by the box domain.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of constraints
+ defining \p *this.
+
+ \param cs
+ The constraints to be added. They may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible,
+ or \p cs contains a constraint which is not optimally supported
+ by the box domain.
+
+ \warning
+ The only assumption that can be made on \p cs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_constraints(Constraint_System& cs);
+
+ /*! \brief
+ Adds to \p *this a constraint equivalent to the congruence \p cg.
+
+ \param cg
+ The congruence to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible,
+ or \p cg is not optimally supported by the box domain.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Adds to \p *this constraints equivalent to the congruences in \p cgs.
+
+ \param cgs
+ The congruences to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ or \p cgs contains a congruence which is not optimally supported
+ by the box domain.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Adds to \p *this constraints equivalent to the congruences in \p cgs.
+
+ \param cgs
+ The congruence system to be added to \p *this. The congruences in
+ \p cgs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ or \p cgs contains a congruence which is not optimally supported
+ by the box domain.
+
+ \warning
+ The only assumption that can be made on \p cgs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_congruences(Congruence_System& cgs);
+
+ /*! \brief
+ Use the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ /*! \brief
+ Use the constraints in \p cs to refine \p *this.
+
+ \param cs
+ The constraints to be used for refinement.
+ To avoid termination problems, each constraint in \p cs
+ will be used for a single refinement step.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+
+ \note
+ The user is warned that the accuracy of this refinement operator
+ depends on the order of evaluation of the constraints in \p cs,
+ which is in general unpredictable. If a fine control on such an
+ order is needed, the user should consider calling the method
+ <code>refine_with_constraint(const Constraint& c)</code> inside
+ an appropriate looping construct.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Use the congruence \p cg to refine \p *this.
+
+ \param cg
+ The congruence to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ /*! \brief
+ Use the congruences in \p cgs to refine \p *this.
+
+ \param cgs
+ The congruences to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Use the constraint \p c for constraint propagation on \p *this.
+
+ \param c
+ The constraint to be used for constraint propagation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible.
+ */
+ void propagate_constraint(const Constraint& c);
+
+ /*! \brief
+ Use the constraints in \p cs for constraint propagation on \p *this.
+
+ \param cs
+ The constraints to be used for constraint propagation.
+
+ \param max_iterations
+ The maximum number of propagation steps for each constraint in
+ \p cs. If zero (the default), the number of propagation steps
+ will be unbounded, possibly resulting in an infinite loop.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+
+ \warning
+ This method may lead to non-termination if \p max_iterations is 0.
+ */
+ void propagate_constraints(const Constraint_System& cs,
+ dimension_type max_iterations = 0);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ //! Assigns to \p *this the intersection of \p *this and \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void intersection_assign(const Box& y);
+
+ /*! \brief
+ Assigns to \p *this the smallest box containing the union
+ of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void upper_bound_assign(const Box& y);
+
+ /*! \brief
+ If the upper bound of \p *this and \p y is exact, it is assigned
+ to \p *this and <CODE>true</CODE> is returned,
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool upper_bound_assign_if_exact(const Box& y);
+
+ /*! \brief
+ Assigns to \p *this the difference of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void difference_assign(const Box& y);
+
+ /*! \brief
+ Assigns to \p *this a \ref Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+ If \c false is returned, then the intersection is empty.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool simplify_using_context_assign(const Box& y);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine image"
+ of \p *this under the function mapping variable \p var to the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of
+ \p *this.
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ // FIXME: To be completed.
+ /*! \brief
+ Assigns to \p *this the \ref affine_form_relation "affine form image"
+ of \p *this under the function mapping variable \p var into the
+ affine expression(s) specified by \p lf.
+
+ \param var
+ The variable to which the affine expression is assigned.
+
+ \param lf
+ The linear form on intervals with floating point boundaries that
+ defines the affine expression(s). ALL of its coefficients MUST be bounded.
+
+ \exception std::invalid_argument
+ Thrown if \p lf and \p *this are dimension-incompatible or if \p var
+ is not a dimension of \p *this.
+
+ This function is used in abstract interpretation to model an assignment
+ of a value that is correctly overapproximated by \p lf to the
+ floating point variable represented by \p var.
+ */
+ void affine_form_image(Variable var,
+ const Linear_Form<ITV>& lf);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine preimage"
+ of \p *this under the function mapping variable \p var to the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is substituted;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this.
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this.
+ */
+ void generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this.
+ */
+ void
+ generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs.
+ */
+ void generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs.
+ */
+ void generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void time_elapse_assign(const Box& y);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ /*! \brief
+ \ref Wrapping_Operator "Wraps" the specified dimensions of the
+ vector space.
+
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be wrapped.
+
+ \param w
+ The width of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param r
+ The representation of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param o
+ The overflow behavior of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param cs_p
+ Possibly null pointer to a constraint system. When non-null,
+ the pointed-to constraint system is assumed to represent the
+ conditional or looping construct guard with respect to which
+ wrapping is performed. Since wrapping requires the computation
+ of upper bounds and due to non-distributivity of constraint
+ refinement over upper bounds, passing a constraint system in this
+ way can be more precise than refining the result of the wrapping
+ operation with the constraints in <CODE>*cs_p</CODE>.
+
+ \param complexity_threshold
+ A precision parameter which is ignored for the Box domain.
+
+ \param wrap_individually
+ A precision parameter which is ignored for the Box domain.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars or with <CODE>*cs_p</CODE>.
+ */
+ void wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p = 0,
+ unsigned complexity_threshold = 16,
+ bool wrap_individually = true);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref CC76_extrapolation "CC76-widening" between \p *this and \p y.
+
+ \param y
+ A box that <EM>must</EM> be contained in \p *this.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ template <typename T>
+ typename Enable_If<Is_Same<T, Box>::value
+ && Is_Same_Or_Derived<Interval_Base, ITV>::value,
+ void>::type
+ CC76_widening_assign(const T& y, unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref CC76_extrapolation "CC76-widening" between \p *this and \p y.
+
+ \param y
+ A box that <EM>must</EM> be contained in \p *this.
+
+ \param first
+ An iterator that points to the first stop-point.
+
+ \param last
+ An iterator that points one past the last stop-point.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ template <typename T, typename Iterator>
+ typename Enable_If<Is_Same<T, Box>::value
+ && Is_Same_Or_Derived<Interval_Base, ITV>::value,
+ void>::type
+ CC76_widening_assign(const T& y,
+ Iterator first, Iterator last);
+
+ //! Same as CC76_widening_assign(y, tp).
+ void widening_assign(const Box& y, unsigned* tp = 0);
+
+ /*! \brief
+ Improves the result of the \ref CC76_extrapolation "CC76-extrapolation"
+ computation by also enforcing those constraints in \p cs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ A box that <EM>must</EM> be contained in \p *this.
+
+ \param cs
+ The system of constraints used to improve the widened box.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are dimension-incompatible or
+ if \p cs contains a strict inequality.
+ */
+ void limited_CC76_extrapolation_assign(const Box& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of restoring in \p y the constraints
+ of \p *this that were lost by
+ \ref CC76_extrapolation "CC76-extrapolation" applications.
+
+ \param y
+ A Box that <EM>must</EM> contain \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \note
+ As was the case for widening operators, the argument \p y is meant to
+ denote the value computed in the previous iteration step, whereas
+ \p *this denotes the value computed in the current iteration step
+ (in the <EM>decreasing</EM> iteration sequence). Hence, the call
+ <CODE>x.CC76_narrowing_assign(y)</CODE> will assign to \p x
+ the result of the computation \f$\mathtt{y} \Delta \mathtt{x}\f$.
+ */
+ template <typename T>
+ typename Enable_If<Is_Same<T, Box>::value
+ && Is_Same_Or_Derived<Interval_Base, ITV>::value,
+ void>::type
+ CC76_narrowing_assign(const T& y);
+
+ //@} Space-Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ //! Adds \p m new dimensions and embeds the old box into the new space.
+ /*!
+ \param m
+ The number of dimensions to add.
+
+ The new dimensions will be those having the highest indexes in the new
+ box, which is defined by a system of interval constraints in which the
+ variables running through the new dimensions are unconstrained.
+ For instance, when starting from the box \f$\cB \sseq \Rset^2\f$
+ and adding a third dimension, the result will be the box
+ \f[
+ \bigl\{\,
+ (x, y, z)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cB
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Adds \p m new dimensions to the box and does not embed it in
+ the new vector space.
+
+ \param m
+ The number of dimensions to add.
+
+ The new dimensions will be those having the highest indexes in the
+ new box, which is defined by a system of bounded differences in
+ which the variables running through the new dimensions are all
+ constrained to be equal to 0.
+ For instance, when starting from the box \f$\cB \sseq \Rset^2\f$
+ and adding a third dimension, the result will be the box
+ \f[
+ \bigl\{\,
+ (x, y, 0)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cB
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ /*! \brief
+ Seeing a box as a set of tuples (its points),
+ assigns to \p *this all the tuples that can be obtained by concatenating,
+ in the order given, a tuple of \p *this with a tuple of \p y.
+
+ Let \f$B \sseq \Rset^n\f$ and \f$D \sseq \Rset^m\f$ be the boxes
+ corresponding, on entry, to \p *this and \p y, respectively.
+ Upon successful completion, \p *this will represent the box
+ \f$R \sseq \Rset^{n+m}\f$ such that
+ \f[
+ R \defeq
+ \Bigl\{\,
+ (x_1, \ldots, x_n, y_1, \ldots, y_m)^\transpose
+ \Bigm|
+ (x_1, \ldots, x_n)^\transpose \in B,
+ (y_1, \ldots, y_m)^\transpose \in D
+ \,\Bigl\}.
+ \f]
+ Another way of seeing it is as follows: first increases the space
+ dimension of \p *this by adding \p y.space_dimension() new
+ dimensions; then adds to the system of constraints of \p *this a
+ renamed-apart version of the constraints of \p y.
+ */
+ void concatenate_assign(const Box& y);
+
+ //! Removes all the specified dimensions.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the dimensions to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the Variable
+ objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher dimensions so that the resulting space
+ will have dimension \p new_dimension.
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimension is greater than the space dimension
+ of \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
+
+ \param pfunc
+ The partial function specifying the destiny of each dimension.
+
+ The template type parameter Partial_Function must provide
+ the following methods.
+ \code
+ bool has_empty_codomain() const
+ \endcode
+ returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty co-domain (i.e., it is always undefined).
+ The <CODE>has_empty_codomain()</CODE> method will always be called
+ before the methods below. However, if
+ <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
+ of the functions below will be called.
+ \code
+ dimension_type max_in_codomain() const
+ \endcode
+ returns the maximum value that belongs to the co-domain
+ of the partial function.
+ \code
+ bool maps(dimension_type i, dimension_type& j) const
+ \endcode
+ Let \f$f\f$ be the represented function and \f$k\f$ be the value
+ of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
+ assigned to \p j and <CODE>true</CODE> is returned.
+ If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
+ returned.
+
+ The result is undefined if \p pfunc does not encode a partial
+ function with the properties described in the
+ \ref Mapping_the_Dimensions_of_the_Vector_Space
+ "specification of the mapping operator".
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref expand_space_dimension "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars.
+ Also thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are \ref fold_space_dimensions "folded"
+ into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+ /*! \brief
+ Returns a reference the interval that bounds \p var.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ const ITV& get_interval(Variable var) const;
+
+ /*! \brief
+ Sets to \p i the interval that bounds \p var.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void set_interval(Variable var, const ITV& i);
+
+ /*! \brief
+ If the space dimension of \p var is unbounded below, return
+ <CODE>false</CODE>. Otherwise return <CODE>true</CODE> and set
+ \p n, \p d and \p closed accordingly.
+
+ \note
+ It is assumed that <CODE>*this</CODE> is a non-empty box
+ having space dimension greater than or equal to that of \p var.
+ An undefined behavior is obtained if this assumption is not met.
+ \if Include_Implementation_Details
+ To be more precise, if <CODE>*this</CODE> is an <EM>empty</EM> box
+ (having space dimension greater than or equal to that of \p var)
+ such that <CODE>!marked_empty()</CODE> holds, then the method can be
+ called without incurring in undefined behavior: it will return
+ <EM>unspecified</EM> boundary values that, if queried systematically
+ on all space dimensions, will encode the box emptiness.
+ \endif
+
+ Let \f$I\f$ be the interval corresponding to variable \p var
+ in the non-empty box <CODE>*this</CODE>.
+ If \f$I\f$ is not bounded from below, simply return <CODE>false</CODE>
+ (leaving all other parameters unchanged).
+ Otherwise, set \p n, \p d and \p closed as follows:
+ - \p n and \p d are assigned the integers \f$n\f$ and \f$d\f$ such
+ that the fraction \f$n/d\f$ corresponds to the greatest lower bound
+ of \f$I\f$. The fraction \f$n/d\f$ is in canonical form, meaning
+ that \f$n\f$ and \f$d\f$ have no common factors, \f$d\f$ is positive,
+ and if \f$n\f$ is zero then \f$d\f$ is one;
+ - \p closed is set to <CODE>true</CODE> if and only if the lower
+ boundary of \f$I\f$ is closed (i.e., it is included in the interval).
+ */
+ bool has_lower_bound(Variable var,
+ Coefficient& n, Coefficient& d, bool& closed) const;
+
+ /*! \brief
+ If the space dimension of \p var is unbounded above, return
+ <CODE>false</CODE>. Otherwise return <CODE>true</CODE> and set
+ \p n, \p d and \p closed accordingly.
+
+ \note
+ It is assumed that <CODE>*this</CODE> is a non-empty box
+ having space dimension greater than or equal to that of \p var.
+ An undefined behavior is obtained if this assumption is not met.
+ \if Include_Implementation_Details
+ To be more precise, if <CODE>*this</CODE> is an <EM>empty</EM> box
+ (having space dimension greater than or equal to that of \p var)
+ such that <CODE>!marked_empty()</CODE> holds, then the method can be
+ called without incurring in undefined behavior: it will return
+ <EM>unspecified</EM> boundary values that, if queried systematically
+ on all space dimensions, will encode the box emptiness.
+ \endif
+
+ Let \f$I\f$ be the interval corresponding to variable \p var
+ in the non-empty box <CODE>*this</CODE>.
+ If \f$I\f$ is not bounded from above, simply return <CODE>false</CODE>
+ (leaving all other parameters unchanged).
+ Otherwise, set \p n, \p d and \p closed as follows:
+ - \p n and \p d are assigned the integers \f$n\f$ and \f$d\f$ such
+ that the fraction \f$n/d\f$ corresponds to the least upper bound
+ of \f$I\f$. The fraction \f$n/d\f$ is in canonical form, meaning
+ that \f$n\f$ and \f$d\f$ have no common factors, \f$d\f$ is positive,
+ and if \f$n\f$ is zero then \f$d\f$ is one;
+ - \p closed is set to <CODE>true</CODE> if and only if the upper
+ boundary of \f$I\f$ is closed (i.e., it is included in the interval).
+ */
+ bool has_upper_bound(Variable var,
+ Coefficient& n, Coefficient& d, bool& closed) const;
+
+ //! Returns a system of constraints defining \p *this.
+ Constraint_System constraints() const;
+
+ //! Returns a minimized system of constraints defining \p *this.
+ Constraint_System minimized_constraints() const;
+
+ //! Returns a system of congruences approximating \p *this.
+ Congruence_System congruences() const;
+
+ //! Returns a minimized system of congruences approximating \p *this.
+ Congruence_System minimized_congruences() const;
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If <CODE>x</CODE> and <CODE>y</CODE> are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool ascii_load(std::istream& s);
+
+private:
+ template <typename Other_ITV>
+ friend class Parma_Polyhedra_Library::Box;
+
+ friend bool
+ operator==<ITV>(const Box<ITV>& x, const Box<ITV>& y);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library
+ ::IO_Operators::operator<<<>(std::ostream& s, const Box<ITV>& box);
+
+ template <typename Specialization, typename Temp, typename To, typename I>
+ friend bool Parma_Polyhedra_Library::l_m_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<I>& x, const Box<I>& y, const Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2);
+
+ //! The type of sequence used to implement the box.
+ typedef std::vector<ITV> Sequence;
+
+ /*! \brief
+ The type of intervals used by inner computations when trying to limit
+ the cumulative effect of approximation errors.
+ */
+ typedef ITV Tmp_Interval_Type;
+
+ //! A sequence of intervals, one for each dimension of the vector space.
+ Sequence seq;
+
+#define PPL_IN_Box_CLASS
+#include "Box_Status_idefs.hh"
+#undef PPL_IN_Box_CLASS
+
+ //! The status flags to keep track of the internal state.
+ Status status;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the box is known to be empty.
+
+ The return value <CODE>false</CODE> does not necessarily
+ implies that \p *this is non-empty.
+ */
+ bool marked_empty() const;
+
+public:
+ //! Causes the box to become empty, i.e., to represent the empty set.
+ void set_empty();
+
+private:
+ //! Marks \p *this as definitely not empty.
+ void set_nonempty();
+
+ //! Asserts the validity of the empty flag of \p *this.
+ void set_empty_up_to_date();
+
+ //! Invalidates empty flag of \p *this.
+ void reset_empty_up_to_date();
+
+ /*! \brief
+ Checks the hard way whether \p *this is an empty box:
+ returns <CODE>true</CODE> if and only if it is so.
+ */
+ bool check_empty() const;
+
+ /*! \brief
+ Returns a reference the interval that bounds
+ the box on the <CODE>k</CODE>-th space dimension.
+ */
+ const ITV& operator[](dimension_type k) const;
+
+ /*! \brief
+ WRITE ME.
+ */
+ static I_Result
+ refine_interval_no_check(ITV& itv,
+ Constraint::Type type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom);
+
+ /*! \brief
+ WRITE ME.
+ */
+ void
+ add_interval_constraint_no_check(dimension_type var_id,
+ Constraint::Type type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom);
+
+ /*! \brief
+ WRITE ME.
+ */
+ void add_constraint_no_check(const Constraint& c);
+
+ /*! \brief
+ WRITE ME.
+ */
+ void add_constraints_no_check(const Constraint_System& cs);
+
+ /*! \brief
+ WRITE ME.
+ */
+ void add_congruence_no_check(const Congruence& cg);
+
+ /*! \brief
+ WRITE ME.
+ */
+ void add_congruences_no_check(const Congruence_System& cgs);
+
+ /*! \brief
+ Uses the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be used for the refinement.
+
+ \warning
+ If \p c and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Constraint& c);
+
+ /*! \brief
+ Uses the constraints in \p cs to refine \p *this.
+
+ \param cs
+ The constraints to be used for the refinement.
+ To avoid termination problems, each constraint in \p cs
+ will be used for a single refinement step.
+
+ \warning
+ If \p cs and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Constraint_System& cs);
+
+ /*! \brief
+ Uses the congruence \p cg to refine \p *this.
+
+ \param cg
+ The congruence to be added.
+ Nontrivial proper congruences are ignored.
+
+ \warning
+ If \p cg and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Congruence& cg);
+
+ /*! \brief
+ Uses the congruences in \p cgs to refine \p *this.
+
+ \param cgs
+ The congruences to be added.
+ Nontrivial proper congruences are ignored.
+
+ \warning
+ If \p cgs and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Congruence_System& cgs);
+
+ /*! \brief
+ Propagates the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be propagated.
+
+ \warning
+ If \p c and \p *this are dimension-incompatible,
+ the behavior is undefined.
+
+ \warning
+ This method may lead to non-termination.
+
+ \if Include_Implementation_Details
+
+ For any expression \f$e\f$, we denote by
+ \f$\left\uparrow e \right\uparrow\f$ (resp., \f$\left\downarrow e
+ \right\downarrow\f$) the result of any computation that is
+ guaranteed to yield an upper (resp., lower) approximation of
+ \f$e\f$. So there exists \f$\epsilon \in \Rset\f$ with
+ \f$\epsilon \geq 0\f$ such that
+ \f$\left\uparrow e \right\uparrow = e + \epsilon\f$.
+ If \f$\epsilon = 0\f$ we say that the computation of
+ \f$\left\uparrow e \right\uparrow\f$ is <EM>exact</EM>;
+ we say it is <EM>inexact</EM> otherwise.
+ Similarly for \f$\left\downarrow e \right\downarrow\f$.
+
+ Consider a constraint of the general form
+ \f[
+ z + \sum_{i \in I}{a_ix_i} \relsym 0,
+ \f]
+ where \f$z \in \Zset\f$, \f$I\f$ is a set of indices,
+ \f$a_i \in \Zset\f$ with \f$a_i \neq 0\f$ for each \f$i \in I\f$, and
+ \f$\mathord{\relsym} \in \{ \mathord{\geq}, \mathord{>}, \mathord{=} \}\f$.
+ The set \f$I\f$ is subdivided into the disjoint sets \f$P\f$ and \f$N\f$
+ such that, for each \f$i \in I\f$, \f$a_i > 0\f$ if \f$i \in P\f$ and
+ \f$a_i < 0\f$ if \f$i \in N\f$.
+ Suppose that, for each \f$i \in P \union N\f$ a variation interval
+ \f$\chi_i \sseq \Rset\f$ is known for \f$x_i\f$ and that the infimum
+ and the supremum of \f$\chi_i\f$ are denoted, respectively,
+ by \f$\chi_i^\mathrm{l}\f$ and \f$\chi_i^\mathrm{u}\f$, where
+ \f$\chi_i^\mathrm{l}, \chi_i^\mathrm{u} \in \Rset \union \{ -\infty, +\infty \}\f$.
+
+ For each \f$k \in P\f$, we have
+ \f[
+ x_k
+ \relsym
+ \frac{1}{a_k}
+ \Biggl(
+ - z
+ - \sum_{i \in N}{a_ix_i}
+ - \sum_{\genfrac{}{}{0pt}{}
+ {\scriptstyle i \in P}
+ {\scriptstyle i \neq k}}{a_ix_i}
+ \Biggr).
+ \f]
+ Thus, if \f$\chi_i^\mathrm{l} \in \Rset\f$ for each \f$i \in N\f$ and
+ \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in P \setdiff \{ k \}\f$,
+ we have
+ \f[
+ x_k
+ \geq
+ \Biggl\downarrow
+ \frac{1}{a_k}
+ \Biggl(
+ - z
+ - \sum_{i \in N}{a_i\chi_i^\mathrm{l}}
+ - \sum_{\genfrac{}{}{0pt}{}
+ {\scriptstyle i \in P}
+ {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{u}}
+ \Biggr)
+ \Biggr\downarrow
+ \f]
+ and, if \f$\mathord{\relsym} \in \{ \mathord{=} \}\f$,
+ \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in N\f$ and
+ \f$\chi_i^\mathrm{l} \in \Rset\f$ for each \f$P \setdiff \{ k \}\f$,
+ \f[
+ x_k
+ \leq
+ \Biggl\uparrow
+ \frac{1}{a_k}
+ \Biggl(
+ - z
+ - \sum_{i \in N}{a_i\chi_i^\mathrm{u}}
+ - \sum_{\genfrac{}{}{0pt}{}
+ {\scriptstyle i \in P}
+ {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{l}}
+ \Biggr)
+ \Biggl\uparrow.
+ \f]
+ In the first inequality, the relation is strict if
+ \f$\mathord{\relsym} \in \{ \mathord{>} \}\f$, or if
+ \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some \f$i \in N\f$, or if
+ \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some
+ \f$i \in P \setdiff \{ k \}\f$, or if the computation is inexact.
+ In the second inequality, the relation is strict if
+ \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some \f$i \in N\f$, or if
+ \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some
+ \f$i \in P \setdiff \{ k \}\f$, or if the computation is inexact.
+
+ For each \f$k \in N\f$, we have
+ \f[
+ \frac{1}{a_k}
+ \Biggl(
+ - z
+ - \sum_{\genfrac{}{}{0pt}{}
+ {\scriptstyle i \in N}
+ {\scriptstyle i \neq k}}{a_ix_i}
+ - \sum_{i \in P}{a_ix_i}
+ \Biggr)
+ \relsym
+ x_k.
+ \f]
+ Thus, if
+ \f$\chi_i^\mathrm{l} \in \Rset\f$
+ for each \f$i \in N \setdiff \{ k \}\f$ and
+ \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in P\f$,
+ we have
+ \f[
+ \Biggl\uparrow
+ \frac{1}{a_k}
+ \Biggl(
+ - z
+ - \sum_{\genfrac{}{}{0pt}{}
+ {\scriptstyle i \in N}
+ {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{l}}
+ - \sum_{i \in P}{a_i\chi_i^\mathrm{u}}
+ \Biggr)
+ \Biggl\uparrow
+ \geq
+ x_k
+ \f]
+ and, if \f$\mathord{\relsym} \in \{ \mathord{=} \}\f$,
+ \f$\chi_i^\mathrm{u} \in \Rset\f$ for each \f$i \in N \setdiff \{ k \}\f$
+ and \f$\chi_i^\mathrm{l} \in \Rset\f$ for each \f$i \in P\f$,
+ \f[
+ \Biggl\downarrow
+ \frac{1}{a_k}
+ \Biggl(
+ - z
+ - \sum_{\genfrac{}{}{0pt}{}
+ {\scriptstyle i \in N}
+ {\scriptstyle i \neq k}}{a_i\chi_i^\mathrm{u}}
+ - \sum_{i \in P}{a_i\chi_i^\mathrm{l}}
+ \Biggr)
+ \Biggl\downarrow
+ \leq
+ x_k.
+ \f]
+ In the first inequality, the relation is strict if
+ \f$\mathord{\relsym} \in \{ \mathord{>} \}\f$, or if
+ \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some \f$i \in P\f$, or if
+ \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some
+ \f$i \in N \setdiff \{ k \}\f$, or if the computation is inexact.
+ In the second inequality, the relation is strict if
+ \f$\chi_i^\mathrm{l} \notin \chi_i\f$ for some \f$i \in P\f$, or if
+ \f$\chi_i^\mathrm{u} \notin \chi_i\f$ for some
+ \f$i \in N \setdiff \{ k \}\f$, or if the computation is inexact.
+ \endif
+ */
+ void propagate_constraint_no_check(const Constraint& c);
+
+ /*! \brief
+ Propagates the constraints in \p cs to refine \p *this.
+
+ \param cs
+ The constraints to be propagated.
+
+ \param max_iterations
+ The maximum number of propagation steps for each constraint in \p cs.
+ If zero, the number of propagation steps will be unbounded, possibly
+ resulting in an infinite loop.
+
+ \warning
+ If \p cs and \p *this are dimension-incompatible,
+ the behavior is undefined.
+
+ \warning
+ This method may lead to non-termination if \p max_iterations is 0.
+ */
+ void propagate_constraints_no_check(const Constraint_System& cs,
+ dimension_type max_iterations);
+
+ //! Checks if and how \p expr is bounded in \p *this.
+ /*!
+ Returns <CODE>true</CODE> if and only if \p from_above is
+ <CODE>true</CODE> and \p expr is bounded from above in \p *this,
+ or \p from_above is <CODE>false</CODE> and \p expr is bounded
+ from below in \p *this.
+
+ \param expr
+ The linear expression to test;
+
+ \param from_above
+ <CODE>true</CODE> if and only if the boundedness of interest is
+ "from above".
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds(const Linear_Expression& expr, bool from_above) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p *this;
+
+ \param g
+ When maximization or minimization succeeds, will be assigned
+ a point or closure point where \p expr reaches the
+ corresponding extremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p g are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator& g) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p * this;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p point are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
+
+ /*! \brief
+ Adds to \p limiting_box the interval constraints in \p cs
+ that are satisfied by \p *this.
+ */
+ void get_limiting_box(const Constraint_System& cs,
+ Box& limiting_box) const;
+
+ //! \name Exception Throwers
+ //@{
+ void throw_dimension_incompatible(const char* method,
+ const Box& y) const;
+
+ void throw_dimension_incompatible(const char* method,
+ dimension_type required_dim) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Constraint& c) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Congruence& cg) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Constraint_System& cs) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Congruence_System& cgs) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Generator& g) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const;
+
+ template <typename C>
+ void throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<C>& lf) const;
+
+ static void throw_constraint_incompatible(const char* method);
+
+ static void throw_expression_too_complex(const char* method,
+ const Linear_Expression& le);
+
+ static void throw_invalid_argument(const char* method, const char* reason);
+ //@} // Exception Throwers
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Returns the relations holding between an interval and
+ an interval constraint.
+
+ \param i
+ The interval;
+
+ \param constraint_type
+ The constraint type;
+
+ \param numer
+ The numerator of the constraint bound;
+
+ \param denom
+ The denominator of the constraint bound
+
+ The interval constraint has the form
+ <CODE>denom * Variable(0) relsym numer</CODE>
+ where relsym is <CODE>==</CODE>, <CODE>></CODE> or <CODE>>=</CODE>
+ depending on the <CODE>constraint_type</CODE>.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename ITV>
+Poly_Con_Relation
+interval_relation(const ITV& i,
+ const Constraint::Type constraint_type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom = 1);
+
+class Box_Helpers {
+public:
+ // This is declared here so that Linear_Expression needs to be friend of
+ // Box_Helpers only, and doesn't need to be friend of this, too.
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Decodes the constraint \p c as an interval constraint.
+ /*! \relates Box
+ \return
+ <CODE>true</CODE> if the constraint \p c is an
+ \ref intervals "interval constraint";
+ <CODE>false</CODE> otherwise.
+
+ \param c
+ The constraint to be decoded.
+
+ \param c_num_vars
+ If <CODE>true</CODE> is returned, then it will be set to the number
+ of variables having a non-zero coefficient. The only legal values
+ will therefore be 0 and 1.
+
+ \param c_only_var
+ If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
+ then it will be set to the index of the only variable having
+ a non-zero coefficient in \p c.
+ */
+ #endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ static bool extract_interval_constraint(const Constraint& c,
+ dimension_type& c_num_vars,
+ dimension_type& c_only_var);
+
+ // This is declared here so that Linear_Expression needs to be friend of
+ // Box_Helpers only, and doesn't need to be friend of this, too.
+ static bool extract_interval_congruence(const Congruence& cg,
+ dimension_type& cg_num_vars,
+ dimension_type& cg_only_var);
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Box_Status_inlines.hh"
+#include "Box_inlines.hh"
+#include "Box_templates.hh"
+
+#endif // !defined(PPL_Box_defs_hh)
diff --git a/src/Box_inlines.hh b/src/Box_inlines.hh
new file mode 100644
index 0000000..84aa99a
--- /dev/null
+++ b/src/Box_inlines.hh
@@ -0,0 +1,692 @@
+/* Box class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Box_inlines_hh
+#define PPL_Box_inlines_hh 1
+
+#include "Boundary_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
+#include "distances_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename ITV>
+inline bool
+Box<ITV>::marked_empty() const {
+ return status.test_empty_up_to_date() && status.test_empty();
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::set_empty() {
+ status.set_empty();
+ status.set_empty_up_to_date();
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::set_nonempty() {
+ status.reset_empty();
+ status.set_empty_up_to_date();
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::set_empty_up_to_date() {
+ status.set_empty_up_to_date();
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::reset_empty_up_to_date() {
+ return status.reset_empty_up_to_date();
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Box(const Box& y, Complexity_Class)
+ : seq(y.seq), status(y.status) {
+}
+
+template <typename ITV>
+inline Box<ITV>&
+Box<ITV>::operator=(const Box& y) {
+ seq = y.seq;
+ status = y.status;
+ return *this;
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::m_swap(Box& y) {
+ Box& x = *this;
+ using std::swap;
+ swap(x.seq, y.seq);
+ swap(x.status, y.status);
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Box(const Constraint_System& cs, Recycle_Input) {
+ // Recycling is useless: just delegate.
+ Box<ITV> tmp(cs);
+ this->m_swap(tmp);
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Box(const Generator_System& gs, Recycle_Input) {
+ // Recycling is useless: just delegate.
+ Box<ITV> tmp(gs);
+ this->m_swap(tmp);
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Box(const Congruence_System& cgs, Recycle_Input) {
+ // Recycling is useless: just delegate.
+ Box<ITV> tmp(cgs);
+ this->m_swap(tmp);
+}
+
+template <typename ITV>
+inline memory_size_type
+Box<ITV>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename ITV>
+inline dimension_type
+Box<ITV>::space_dimension() const {
+ return seq.size();
+}
+
+template <typename ITV>
+inline dimension_type
+Box<ITV>::max_space_dimension() {
+ // One dimension is reserved to have a value of type dimension_type
+ // that does not represent a legal dimension.
+ return Sequence().max_size() - 1;
+}
+
+template <typename ITV>
+inline int32_t
+Box<ITV>::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+template <typename ITV>
+inline const ITV&
+Box<ITV>::operator[](const dimension_type k) const {
+ PPL_ASSERT(k < seq.size());
+ return seq[k];
+}
+
+template <typename ITV>
+inline const ITV&
+Box<ITV>::get_interval(const Variable var) const {
+ if (space_dimension() < var.space_dimension())
+ throw_dimension_incompatible("get_interval(v)", "v", var);
+
+ if (is_empty()) {
+ static ITV empty_interval(EMPTY);
+ return empty_interval;
+ }
+
+ return seq[var.id()];
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::set_interval(const Variable var, const ITV& i) {
+ const dimension_type space_dim = space_dimension();
+ if (space_dim < var.space_dimension())
+ throw_dimension_incompatible("set_interval(v, i)", "v", var);
+
+ if (is_empty() && space_dim >= 2)
+ // If the box is empty, and has dimension >= 2, setting only one
+ // interval will not make it non-empty.
+ return;
+
+ seq[var.id()] = i;
+ reset_empty_up_to_date();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::is_empty() const {
+ return marked_empty() || check_empty();
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::bounds_from_above(const Linear_Expression& expr) const {
+ return bounds(expr, true);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::bounds_from_below(const Linear_Expression& expr) const {
+ return bounds(expr, false);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
+ return max_min(expr, true, sup_n, sup_d, maximum);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const {
+ return max_min(expr, true, sup_n, sup_d, maximum, g);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
+ return max_min(expr, false, inf_n, inf_d, minimum);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const {
+ return max_min(expr, false, inf_n, inf_d, minimum, g);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::strictly_contains(const Box& y) const {
+ const Box& x = *this;
+ return x.contains(y) && !y.contains(x);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::expand_space_dimension(const Variable var,
+ const dimension_type m) {
+ const dimension_type space_dim = space_dimension();
+ // `var' should be one of the dimensions of the vector space.
+ if (var.space_dimension() > space_dim)
+ throw_dimension_incompatible("expand_space_dimension(v, m)", "v", var);
+
+ // The space dimension of the resulting Box should not
+ // overflow the maximum allowed space dimension.
+ if (m > max_space_dimension() - space_dim)
+ throw_invalid_argument("expand_dimension(v, m)",
+ "adding m new space dimensions exceeds "
+ "the maximum allowed space dimension");
+
+ // To expand the space dimension corresponding to variable `var',
+ // we append to the box `m' copies of the corresponding interval.
+ seq.insert(seq.end(), m, seq[var.id()]);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+inline bool
+operator!=(const Box<ITV>& x, const Box<ITV>& y) {
+ return !(x == y);
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::has_lower_bound(const Variable var,
+ Coefficient& n, Coefficient& d, bool& closed) const {
+ // NOTE: assertion !is_empty() would be wrong;
+ // see the calls in method Box<ITV>::constraints().
+ PPL_ASSERT(!marked_empty());
+ const dimension_type k = var.id();
+ PPL_ASSERT(k < seq.size());
+ const ITV& seq_k = seq[k];
+
+ if (seq_k.lower_is_boundary_infinity())
+ return false;
+
+ closed = !seq_k.lower_is_open();
+
+ PPL_DIRTY_TEMP(mpq_class, lr);
+ assign_r(lr, seq_k.lower(), ROUND_NOT_NEEDED);
+ n = lr.get_num();
+ d = lr.get_den();
+
+ return true;
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::has_upper_bound(const Variable var,
+ Coefficient& n, Coefficient& d, bool& closed) const {
+ // NOTE: assertion !is_empty() would be wrong;
+ // see the calls in method Box<ITV>::constraints().
+ PPL_ASSERT(!marked_empty());
+ const dimension_type k = var.id();
+ PPL_ASSERT(k < seq.size());
+ const ITV& seq_k = seq[k];
+
+ if (seq_k.upper_is_boundary_infinity())
+ return false;
+
+ closed = !seq_k.upper_is_open();
+
+ PPL_DIRTY_TEMP(mpq_class, ur);
+ assign_r(ur, seq_k.upper(), ROUND_NOT_NEEDED);
+ n = ur.get_num();
+ d = ur.get_den();
+
+ return true;
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::add_constraint(const Constraint& c) {
+ const dimension_type c_space_dim = c.space_dimension();
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dimension())
+ throw_dimension_incompatible("add_constraint(c)", c);
+
+ add_constraint_no_check(c);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::add_constraints(const Constraint_System& cs) {
+ // Dimension-compatibility check.
+ if (cs.space_dimension() > space_dimension())
+ throw_dimension_incompatible("add_constraints(cs)", cs);
+
+ add_constraints_no_check(cs);
+}
+
+template <typename T>
+inline void
+Box<T>::add_recycled_constraints(Constraint_System& cs) {
+ add_constraints(cs);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::add_congruence(const Congruence& cg) {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ // Dimension-compatibility check.
+ if (cg_space_dim > space_dimension())
+ throw_dimension_incompatible("add_congruence(cg)", cg);
+
+ add_congruence_no_check(cg);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::add_congruences(const Congruence_System& cgs) {
+ if (cgs.space_dimension() > space_dimension())
+ throw_dimension_incompatible("add_congruences(cgs)", cgs);
+ add_congruences_no_check(cgs);
+}
+
+template <typename T>
+inline void
+Box<T>::add_recycled_congruences(Congruence_System& cgs) {
+ add_congruences(cgs);
+}
+
+template <typename T>
+inline bool
+Box<T>::can_recycle_constraint_systems() {
+ return false;
+}
+
+template <typename T>
+inline bool
+Box<T>::can_recycle_congruence_systems() {
+ return false;
+}
+
+template <typename T>
+inline void
+Box<T>::widening_assign(const Box& y, unsigned* tp) {
+ CC76_widening_assign(y, tp);
+}
+
+template <typename ITV>
+inline Congruence_System
+Box<ITV>::minimized_congruences() const {
+ // Only equalities can be congruences and these are already minimized.
+ return congruences();
+}
+
+template <typename ITV>
+inline I_Result
+Box<ITV>
+::refine_interval_no_check(ITV& itv,
+ const Constraint::Type type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
+ PPL_ASSERT(denom != 0);
+ // The interval constraint is of the form
+ // `var + numer / denom rel 0',
+ // where `rel' is either the relation `==', `>=', or `>'.
+ // For the purpose of refining the interval, this is
+ // (morally) turned into `var rel -numer/denom'.
+ PPL_DIRTY_TEMP(mpq_class, q);
+ assign_r(q.get_num(), numer, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), denom, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ // Turn `numer/denom' into `-numer/denom'.
+ q = -q;
+
+ Relation_Symbol rel_sym;
+ switch (type) {
+ case Constraint::EQUALITY:
+ rel_sym = EQUAL;
+ break;
+ case Constraint::NONSTRICT_INEQUALITY:
+ rel_sym = (denom > 0) ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
+ break;
+ case Constraint::STRICT_INEQUALITY:
+ rel_sym = (denom > 0) ? GREATER_THAN : LESS_THAN;
+ break;
+ default:
+ // Silence compiler warning.
+ PPL_UNREACHABLE;
+ return I_ANY;
+ }
+ I_Result res = itv.add_constraint(i_constraint(rel_sym, q));
+ PPL_ASSERT(itv.OK());
+ return res;
+}
+
+template <typename ITV>
+inline void
+Box<ITV>
+::add_interval_constraint_no_check(const dimension_type var_id,
+ const Constraint::Type type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
+ PPL_ASSERT(!marked_empty());
+ PPL_ASSERT(var_id < space_dimension());
+ PPL_ASSERT(denom != 0);
+ refine_interval_no_check(seq[var_id], type, numer, denom);
+ // FIXME: do check the value returned and set `empty' and
+ // `empty_up_to_date' as appropriate.
+ // This has to be done after reimplementation of intervals.
+ reset_empty_up_to_date();
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::refine_with_constraint(const Constraint& c) {
+ const dimension_type c_space_dim = c.space_dimension();
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dimension())
+ throw_dimension_incompatible("refine_with_constraint(c)", c);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ refine_no_check(c);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::refine_with_constraints(const Constraint_System& cs) {
+ // Dimension-compatibility check.
+ if (cs.space_dimension() > space_dimension())
+ throw_dimension_incompatible("refine_with_constraints(cs)", cs);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ refine_no_check(cs);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::refine_with_congruence(const Congruence& cg) {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ // Dimension-compatibility check.
+ if (cg_space_dim > space_dimension())
+ throw_dimension_incompatible("refine_with_congruence(cg)", cg);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ refine_no_check(cg);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::refine_with_congruences(const Congruence_System& cgs) {
+ // Dimension-compatibility check.
+ if (cgs.space_dimension() > space_dimension())
+ throw_dimension_incompatible("refine_with_congruences(cgs)", cgs);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ refine_no_check(cgs);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::propagate_constraint(const Constraint& c) {
+ const dimension_type c_space_dim = c.space_dimension();
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dimension())
+ throw_dimension_incompatible("propagate_constraint(c)", c);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ propagate_constraint_no_check(c);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::propagate_constraints(const Constraint_System& cs,
+ const dimension_type max_iterations) {
+ // Dimension-compatibility check.
+ if (cs.space_dimension() > space_dimension())
+ throw_dimension_incompatible("propagate_constraints(cs)", cs);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ propagate_constraints_no_check(cs, max_iterations);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::unconstrain(const Variable var) {
+ const dimension_type var_id = var.id();
+ // Dimension-compatibility check.
+ if (space_dimension() < var_id + 1)
+ throw_dimension_incompatible("unconstrain(var)", var_id + 1);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ // Here the box might still be empty (but we haven't detected it yet):
+ // check emptiness of the interval for `var' before cylindrification.
+ ITV& seq_var = seq[var_id];
+ if (seq_var.is_empty())
+ set_empty();
+ else
+ seq_var.assign(UNIVERSE);
+
+ PPL_ASSERT(OK());
+}
+
+/*! \relates Box */
+template <typename Temp, typename To, typename ITV>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >
+ (r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Box */
+template <typename Temp, typename To, typename ITV>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Box */
+template <typename To, typename ITV>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
+ // FIXME: the following qualification is only to work around a bug
+ // in the Intel C/C++ compiler version 10.1.x.
+ return Parma_Polyhedra_Library
+ ::rectilinear_distance_assign<To, To, ITV>(r, x, y, dir);
+}
+
+/*! \relates Box */
+template <typename Temp, typename To, typename ITV>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >
+ (r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Box */
+template <typename Temp, typename To, typename ITV>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Box */
+template <typename To, typename ITV>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
+ // FIXME: the following qualification is only to work around a bug
+ // in the Intel C/C++ compiler version 10.1.x.
+ return Parma_Polyhedra_Library
+ ::euclidean_distance_assign<To, To, ITV>(r, x, y, dir);
+}
+
+/*! \relates Box */
+template <typename Temp, typename To, typename ITV>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >
+ (r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Box */
+template <typename Temp, typename To, typename ITV>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Box */
+template <typename To, typename ITV>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
+ // FIXME: the following qualification is only to work around a bug
+ // in the Intel C/C++ compiler version 10.1.x.
+ return Parma_Polyhedra_Library
+ ::l_infinity_distance_assign<To, To, ITV>(r, x, y, dir);
+}
+
+/*! \relates Box */
+template <typename ITV>
+inline void
+swap(Box<ITV>& x, Box<ITV>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Box_inlines_hh)
diff --git a/src/Box_templates.hh b/src/Box_templates.hh
new file mode 100644
index 0000000..227dd65
--- /dev/null
+++ b/src/Box_templates.hh
@@ -0,0 +1,4295 @@
+/* Box class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Box_templates_hh
+#define PPL_Box_templates_hh 1
+
+#include "Variables_Set_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Generator_System_defs.hh"
+#include "Generator_System_inlines.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "Polyhedron_defs.hh"
+#include "Grid_defs.hh"
+#include "Interval_defs.hh"
+#include "Linear_Form_defs.hh"
+#include "BD_Shape_defs.hh"
+#include "Octagonal_Shape_defs.hh"
+#include "MIP_Problem_defs.hh"
+#include "Rational_Interval.hh"
+#include <vector>
+#include <map>
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename ITV>
+inline
+Box<ITV>::Box(dimension_type num_dimensions, Degenerate_Element kind)
+ : seq(check_space_dimension_overflow(num_dimensions,
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(n, k)",
+ "n exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ // In a box that is marked empty the intervals are completely
+ // meaningless: we exploit this by avoiding their initialization.
+ if (kind == UNIVERSE) {
+ for (dimension_type i = num_dimensions; i-- > 0; )
+ seq[i].assign(UNIVERSE);
+ set_empty_up_to_date();
+ }
+ else
+ set_empty();
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Box(const Constraint_System& cs)
+ : seq(check_space_dimension_overflow(cs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(cs)",
+ "cs exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ // FIXME: check whether we can avoid the double initialization.
+ for (dimension_type i = cs.space_dimension(); i-- > 0; )
+ seq[i].assign(UNIVERSE);
+ add_constraints_no_check(cs);
+}
+
+template <typename ITV>
+inline
+Box<ITV>::Box(const Congruence_System& cgs)
+ : seq(check_space_dimension_overflow(cgs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(cgs)",
+ "cgs exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ // FIXME: check whether we can avoid the double initialization.
+ for (dimension_type i = cgs.space_dimension(); i-- > 0; )
+ seq[i].assign(UNIVERSE);
+ add_congruences_no_check(cgs);
+}
+
+template <typename ITV>
+template <typename Other_ITV>
+inline
+Box<ITV>::Box(const Box<Other_ITV>& y, Complexity_Class)
+ : seq(y.space_dimension()),
+ // FIXME: why the following does not work?
+ // status(y.status) {
+ status() {
+ // FIXME: remove when the above is fixed.
+ if (y.marked_empty())
+ set_empty();
+
+ if (!y.marked_empty())
+ for (dimension_type k = y.space_dimension(); k-- > 0; )
+ seq[k].assign(y.seq[k]);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+Box<ITV>::Box(const Generator_System& gs)
+ : seq(check_space_dimension_overflow(gs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(gs)",
+ "gs exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ const Generator_System::const_iterator gs_begin = gs.begin();
+ const Generator_System::const_iterator gs_end = gs.end();
+ if (gs_begin == gs_end) {
+ // An empty generator system defines the empty box.
+ set_empty();
+ return;
+ }
+
+ // The empty flag will be meaningful, whatever happens from now on.
+ set_empty_up_to_date();
+
+ const dimension_type space_dim = space_dimension();
+ PPL_DIRTY_TEMP(mpq_class, q);
+ bool point_seen = false;
+ // Going through all the points.
+ for (Generator_System::const_iterator
+ gs_i = gs_begin; gs_i != gs_end; ++gs_i) {
+ const Generator& g = *gs_i;
+ if (g.is_point()) {
+ const Coefficient& d = g.divisor();
+ if (point_seen) {
+ // This is not the first point: `seq' already contains valid values.
+ // TODO: If the variables in the expression that have coefficient 0
+ // have no effect on seq[i], this loop can be optimized using
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ PPL_DIRTY_TEMP(ITV, iq);
+ iq.build(i_constraint(EQUAL, q));
+ seq[i].join_assign(iq);
+ }
+ }
+ else {
+ // This is the first point seen: initialize `seq'.
+ point_seen = true;
+ // TODO: If the variables in the expression that have coefficient 0
+ // have no effect on seq[i], this loop can be optimized using
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ seq[i].build(i_constraint(EQUAL, q));
+ }
+ }
+ }
+ }
+
+ if (!point_seen)
+ // The generator system is not empty, but contains no points.
+ throw std::invalid_argument("PPL::Box<ITV>::Box(gs):\n"
+ "the non-empty generator system gs "
+ "contains no points.");
+
+ // Going through all the lines, rays and closure points.
+ for (Generator_System::const_iterator gs_i = gs_begin;
+ gs_i != gs_end; ++gs_i) {
+ const Generator& g = *gs_i;
+ switch (g.type()) {
+ case Generator::LINE:
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
+ i_end = g.expression().end();
+ i != i_end; ++i)
+ seq[i.variable().id()].assign(UNIVERSE);
+ break;
+ case Generator::RAY:
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
+ i_end = g.expression().end();
+ i != i_end; ++i)
+ switch (sgn(*i)) {
+ case 1:
+ seq[i.variable().id()].upper_extend();
+ break;
+ case -1:
+ seq[i.variable().id()].lower_extend();
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+ break;
+ case Generator::CLOSURE_POINT:
+ {
+ const Coefficient& d = g.divisor();
+ // TODO: If the variables in the expression that have coefficient 0
+ // have no effect on seq[i], this loop can be optimized using
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ ITV& seq_i = seq[i];
+ seq_i.lower_extend(i_constraint(GREATER_THAN, q));
+ seq_i.upper_extend(i_constraint(LESS_THAN, q));
+ }
+ }
+ break;
+ default:
+ // Points already dealt with.
+ break;
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+template <typename T>
+Box<ITV>::Box(const BD_Shape<T>& bds, Complexity_Class)
+ : seq(check_space_dimension_overflow(bds.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(bds)",
+ "bds exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ // Expose all the interval constraints.
+ bds.shortest_path_closure_assign();
+ if (bds.marked_empty()) {
+ set_empty();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // The empty flag will be meaningful, whatever happens from now on.
+ set_empty_up_to_date();
+
+ const dimension_type space_dim = space_dimension();
+ if (space_dim == 0) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ typedef typename BD_Shape<T>::coefficient_type Coeff;
+ PPL_DIRTY_TEMP(Coeff, tmp);
+ const DB_Row<Coeff>& dbm_0 = bds.dbm[0];
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ I_Constraint<Coeff> lower;
+ I_Constraint<Coeff> upper;
+ ITV& seq_i = seq[i];
+
+ // Set the upper bound.
+ const Coeff& u = dbm_0[i+1];
+ if (!is_plus_infinity(u))
+ upper.set(LESS_OR_EQUAL, u, true);
+
+ // Set the lower bound.
+ const Coeff& negated_l = bds.dbm[i+1][0];
+ if (!is_plus_infinity(negated_l)) {
+ neg_assign_r(tmp, negated_l, ROUND_DOWN);
+ lower.set(GREATER_OR_EQUAL, tmp);
+ }
+
+ seq_i.build(lower, upper);
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+template <typename T>
+Box<ITV>::Box(const Octagonal_Shape<T>& oct, Complexity_Class)
+ : seq(check_space_dimension_overflow(oct.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(oct)",
+ "oct exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ // Expose all the interval constraints.
+ oct.strong_closure_assign();
+ if (oct.marked_empty()) {
+ set_empty();
+ return;
+ }
+
+ // The empty flag will be meaningful, whatever happens from now on.
+ set_empty_up_to_date();
+
+ const dimension_type space_dim = space_dimension();
+ if (space_dim == 0)
+ return;
+
+ PPL_DIRTY_TEMP(mpq_class, lower_bound);
+ PPL_DIRTY_TEMP(mpq_class, upper_bound);
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ typedef typename Octagonal_Shape<T>::coefficient_type Coeff;
+ I_Constraint<mpq_class> lower;
+ I_Constraint<mpq_class> upper;
+ ITV& seq_i = seq[i];
+ const dimension_type ii = 2*i;
+ const dimension_type cii = ii + 1;
+
+ // Set the upper bound.
+ const Coeff& twice_ub = oct.matrix[cii][ii];
+ if (!is_plus_infinity(twice_ub)) {
+ assign_r(upper_bound, twice_ub, ROUND_NOT_NEEDED);
+ div_2exp_assign_r(upper_bound, upper_bound, 1, ROUND_NOT_NEEDED);
+ upper.set(LESS_OR_EQUAL, upper_bound);
+ }
+
+ // Set the lower bound.
+ const Coeff& twice_lb = oct.matrix[ii][cii];
+ if (!is_plus_infinity(twice_lb)) {
+ assign_r(lower_bound, twice_lb, ROUND_NOT_NEEDED);
+ neg_assign_r(lower_bound, lower_bound, ROUND_NOT_NEEDED);
+ div_2exp_assign_r(lower_bound, lower_bound, 1, ROUND_NOT_NEEDED);
+ lower.set(GREATER_OR_EQUAL, lower_bound);
+ }
+ seq_i.build(lower, upper);
+ }
+}
+
+template <typename ITV>
+Box<ITV>::Box(const Polyhedron& ph, Complexity_Class complexity)
+ : seq(check_space_dimension_overflow(ph.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(ph)",
+ "ph exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+ // The empty flag will be meaningful, whatever happens from now on.
+ set_empty_up_to_date();
+
+ // We do not need to bother about `complexity' if:
+ // a) the polyhedron is already marked empty; or ...
+ if (ph.marked_empty()) {
+ set_empty();
+ return;
+ }
+
+ // b) the polyhedron is zero-dimensional; or ...
+ const dimension_type space_dim = ph.space_dimension();
+ if (space_dim == 0)
+ return;
+
+ // c) the polyhedron is already described by a generator system.
+ if (ph.generators_are_up_to_date() && !ph.has_pending_constraints()) {
+ Box tmp(ph.generators());
+ m_swap(tmp);
+ return;
+ }
+
+ // Here generators are not up-to-date or there are pending constraints.
+ PPL_ASSERT(ph.constraints_are_up_to_date());
+
+ if (complexity == POLYNOMIAL_COMPLEXITY) {
+ // FIXME: is there a way to avoid this initialization?
+ for (dimension_type i = space_dim; i-- > 0; )
+ seq[i].assign(UNIVERSE);
+ // Get a simplified version of the constraints.
+ const Constraint_System cs = ph.simplified_constraints();
+ // Propagate easy-to-find bounds from the constraints,
+ // allowing for a limited number of iterations.
+ // FIXME: 20 is just a wild guess.
+ const dimension_type max_iterations = 20;
+ propagate_constraints_no_check(cs, max_iterations);
+ }
+ else if (complexity == SIMPLEX_COMPLEXITY) {
+ MIP_Problem lp(space_dim);
+ const Constraint_System& ph_cs = ph.constraints();
+ if (!ph_cs.has_strict_inequalities())
+ lp.add_constraints(ph_cs);
+ else
+ // Adding to `lp' a topologically closed version of `ph_cs'.
+ for (Constraint_System::const_iterator i = ph_cs.begin(),
+ ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_strict_inequality()) {
+ const Linear_Expression expr(c.expression());
+ lp.add_constraint(expr >= 0);
+ }
+ else
+ lp.add_constraint(c);
+ }
+ // Check for unsatisfiability.
+ if (!lp.is_satisfiable()) {
+ set_empty();
+ return;
+ }
+ // Get all the bounds for the space dimensions.
+ Generator g(point());
+ PPL_DIRTY_TEMP(mpq_class, lower_bound);
+ PPL_DIRTY_TEMP(mpq_class, upper_bound);
+ PPL_DIRTY_TEMP(Coefficient, bound_numer);
+ PPL_DIRTY_TEMP(Coefficient, bound_denom);
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ I_Constraint<mpq_class> lower;
+ I_Constraint<mpq_class> upper;
+ ITV& seq_i = seq[i];
+ lp.set_objective_function(Variable(i));
+ // Evaluate upper bound.
+ lp.set_optimization_mode(MAXIMIZATION);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, bound_numer, bound_denom);
+ assign_r(upper_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
+ assign_r(upper_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
+ PPL_ASSERT(is_canonical(upper_bound));
+ upper.set(LESS_OR_EQUAL, upper_bound);
+ }
+ // Evaluate optimal lower bound.
+ lp.set_optimization_mode(MINIMIZATION);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, bound_numer, bound_denom);
+ assign_r(lower_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
+ assign_r(lower_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
+ PPL_ASSERT(is_canonical(lower_bound));
+ lower.set(GREATER_OR_EQUAL, lower_bound);
+ }
+ seq_i.build(lower, upper);
+ }
+ }
+ else {
+ PPL_ASSERT(complexity == ANY_COMPLEXITY);
+ if (ph.is_empty())
+ set_empty();
+ else {
+ Box tmp(ph.generators());
+ m_swap(tmp);
+ }
+ }
+}
+
+template <typename ITV>
+Box<ITV>::Box(const Grid& gr, Complexity_Class)
+ : seq(check_space_dimension_overflow(gr.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(gr)",
+ "gr exceeds the maximum "
+ "allowed space dimension")),
+ status() {
+
+ if (gr.marked_empty()) {
+ set_empty();
+ return;
+ }
+
+ // The empty flag will be meaningful, whatever happens from now on.
+ set_empty_up_to_date();
+
+ const dimension_type space_dim = gr.space_dimension();
+
+ if (space_dim == 0)
+ return;
+
+ if (!gr.generators_are_up_to_date() && !gr.update_generators()) {
+ // Updating found the grid empty.
+ set_empty();
+ return;
+ }
+
+ PPL_ASSERT(!gr.gen_sys.empty());
+
+ // For each dimension that is bounded by the grid, set both bounds
+ // of the interval to the value of the associated coefficient in a
+ // generator point.
+ PPL_DIRTY_TEMP(mpq_class, bound);
+ PPL_DIRTY_TEMP(Coefficient, bound_numer);
+ PPL_DIRTY_TEMP(Coefficient, bound_denom);
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ ITV& seq_i = seq[i];
+ Variable var(i);
+ bool max;
+ if (gr.maximize(var, bound_numer, bound_denom, max)) {
+ assign_r(bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
+ assign_r(bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
+ bound.canonicalize();
+ seq_i.build(i_constraint(EQUAL, bound));
+ }
+ else
+ seq_i.assign(UNIVERSE);
+ }
+}
+
+template <typename ITV>
+template <typename D1, typename D2, typename R>
+Box<ITV>::Box(const Partially_Reduced_Product<D1, D2, R>& dp,
+ Complexity_Class complexity)
+ : seq(), status() {
+ check_space_dimension_overflow(dp.space_dimension(),
+ max_space_dimension(),
+ "PPL::Box::",
+ "Box(dp)",
+ "dp exceeds the maximum "
+ "allowed space dimension");
+ Box tmp1(dp.domain1(), complexity);
+ Box tmp2(dp.domain2(), complexity);
+ tmp1.intersection_assign(tmp2);
+ m_swap(tmp1);
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::add_space_dimensions_and_embed(const dimension_type m) {
+ // Adding no dimensions is a no-op.
+ if (m == 0)
+ return;
+ check_space_dimension_overflow(m, max_space_dimension() - space_dimension(),
+ "PPL::Box::",
+ "add_space_dimensions_and_embed(m)",
+ "adding m new space dimensions exceeds "
+ "the maximum allowed space dimension");
+ // To embed an n-dimension space box in a (n+m)-dimension space,
+ // we just add `m' new universe elements to the sequence.
+ seq.insert(seq.end(), m, ITV(UNIVERSE));
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::add_space_dimensions_and_project(const dimension_type m) {
+ // Adding no dimensions is a no-op.
+ if (m == 0)
+ return;
+ check_space_dimension_overflow(m, max_space_dimension() - space_dimension(),
+ "PPL::Box::",
+ "add_space_dimensions_and_project(m)",
+ "adding m new space dimensions exceeds "
+ "the maximum allowed space dimension");
+ // Add `m' new zero elements to the sequence.
+ seq.insert(seq.end(), m, ITV(0));
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+bool
+operator==(const Box<ITV>& x, const Box<ITV>& y) {
+ const dimension_type x_space_dim = x.space_dimension();
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ if (x.is_empty())
+ return y.is_empty();
+
+ if (y.is_empty())
+ return x.is_empty();
+
+ for (dimension_type k = x_space_dim; k-- > 0; )
+ if (x.seq[k] != y.seq[k])
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::bounds(const Linear_Expression& expr, const bool from_above) const {
+ // `expr' should be dimension-compatible with `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ const dimension_type space_dim = space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((from_above
+ ? "bounds_from_above(e)"
+ : "bounds_from_below(e)"), "e", expr);
+ // A zero-dimensional or empty Box bounds everything.
+ if (space_dim == 0 || is_empty())
+ return true;
+
+ const int from_above_sign = from_above ? 1 : -1;
+ // TODO: This loop can be optimized more, if needed, exploiting the
+ // (possible) sparseness of expr.
+ for (Linear_Expression::const_iterator i = expr.begin(),
+ i_end = expr.end(); i != i_end; ++i) {
+ const Variable v = i.variable();
+ switch (sgn(*i) * from_above_sign) {
+ case 1:
+ if (seq[v.id()].upper_is_boundary_infinity())
+ return false;
+ break;
+ case 0:
+ PPL_UNREACHABLE;
+ break;
+ case -1:
+ if (seq[v.id()].lower_is_boundary_infinity())
+ return false;
+ break;
+ }
+ }
+ return true;
+}
+
+template <typename ITV>
+Poly_Con_Relation
+interval_relation(const ITV& i,
+ const Constraint::Type constraint_type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
+
+ if (i.is_universe())
+ return Poly_Con_Relation::strictly_intersects();
+
+ PPL_DIRTY_TEMP(mpq_class, bound);
+ assign_r(bound.get_num(), numer, ROUND_NOT_NEEDED);
+ assign_r(bound.get_den(), denom, ROUND_NOT_NEEDED);
+ bound.canonicalize();
+ neg_assign_r(bound, bound, ROUND_NOT_NEEDED);
+ const bool is_lower_bound = (denom > 0);
+
+ PPL_DIRTY_TEMP(mpq_class, bound_diff);
+ if (constraint_type == Constraint::EQUALITY) {
+ if (i.lower_is_boundary_infinity()) {
+ PPL_ASSERT(!i.upper_is_boundary_infinity());
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ return i.upper_is_open()
+ ? Poly_Con_Relation::is_disjoint()
+ : Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ else {
+ assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::is_disjoint();
+ case 0:
+ if (i.lower_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ if (i.is_singleton())
+ return Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates();
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ if (i.upper_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (i.upper_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ }
+ }
+ }
+
+ PPL_ASSERT(constraint_type != Constraint::EQUALITY);
+ if (is_lower_bound) {
+ if (i.lower_is_boundary_infinity()) {
+ PPL_ASSERT(!i.upper_is_boundary_infinity());
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (constraint_type == Constraint::STRICT_INEQUALITY
+ || i.upper_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ else {
+ assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::is_included();
+ case 0:
+ if (constraint_type == Constraint::NONSTRICT_INEQUALITY
+ || i.lower_is_open()) {
+ Poly_Con_Relation result = Poly_Con_Relation::is_included();
+ if (i.is_singleton())
+ result = result && Poly_Con_Relation::saturates();
+ return result;
+ }
+ else {
+ PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
+ && !i.lower_is_open());
+ if (i.is_singleton())
+ return Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ case -1:
+ if (i.upper_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (constraint_type == Constraint::STRICT_INEQUALITY
+ || i.upper_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ }
+ }
+ }
+ else {
+ // `c' is an upper bound.
+ if (i.upper_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case -1:
+ return Poly_Con_Relation::is_included();
+ case 0:
+ if (constraint_type == Constraint::NONSTRICT_INEQUALITY
+ || i.upper_is_open()) {
+ Poly_Con_Relation result = Poly_Con_Relation::is_included();
+ if (i.is_singleton())
+ result = result && Poly_Con_Relation::saturates();
+ return result;
+ }
+ else {
+ PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
+ && !i.upper_is_open());
+ if (i.is_singleton())
+ return Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ case 1:
+ if (i.lower_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case -1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (constraint_type == Constraint::STRICT_INEQUALITY
+ || i.lower_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case 1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ }
+ }
+ }
+
+ // Quiet a compiler warning: this program point is unreachable.
+ PPL_UNREACHABLE;
+ return Poly_Con_Relation::nothing();
+}
+
+template <typename ITV>
+Poly_Con_Relation
+Box<ITV>::relation_with(const Congruence& cg) const {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (cg_space_dim > space_dim)
+ throw_dimension_incompatible("relation_with(cg)", cg);
+
+ if (is_empty())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint();
+
+ if (space_dim == 0) {
+ if (cg.is_inconsistent())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ }
+
+ if (cg.is_equality()) {
+ const Constraint c(cg);
+ return relation_with(c);
+ }
+
+ PPL_DIRTY_TEMP(Rational_Interval, r);
+ PPL_DIRTY_TEMP(Rational_Interval, t);
+ PPL_DIRTY_TEMP(mpq_class, m);
+ r = 0;
+ for (Congruence::expr_type::const_iterator i = cg.expression().begin(),
+ i_end = cg.expression().end(); i != i_end; ++i) {
+ const Coefficient& cg_i = *i;
+ const Variable v = i.variable();
+ assign_r(m, cg_i, ROUND_NOT_NEEDED);
+ // FIXME: an add_mul_assign() method would come handy here.
+ t.build(seq[v.id()].lower_constraint(), seq[v.id()].upper_constraint());
+ t *= m;
+ r += t;
+ }
+
+ if (r.lower_is_boundary_infinity() || r.upper_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+
+
+ // Find the value that satisfies the congruence and is
+ // nearest to the lower bound such that the point lies on or above it.
+
+ PPL_DIRTY_TEMP_COEFFICIENT(lower);
+ PPL_DIRTY_TEMP_COEFFICIENT(mod);
+ PPL_DIRTY_TEMP_COEFFICIENT(v);
+ mod = cg.modulus();
+ v = cg.inhomogeneous_term() % mod;
+ assign_r(lower, r.lower(), ROUND_DOWN);
+ v -= ((lower / mod) * mod);
+ if (v + lower > 0)
+ v -= mod;
+ return interval_relation(r, Constraint::EQUALITY, v);
+}
+
+template <typename ITV>
+Poly_Con_Relation
+Box<ITV>::relation_with(const Constraint& c) const {
+ const dimension_type c_space_dim = c.space_dimension();
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dim)
+ throw_dimension_incompatible("relation_with(c)", c);
+
+ if (is_empty())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint();
+
+ if (space_dim == 0) {
+ if ((c.is_equality() && c.inhomogeneous_term() != 0)
+ || (c.is_inequality() && c.inhomogeneous_term() < 0))
+ return Poly_Con_Relation::is_disjoint();
+ else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
+ // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
+ // thus, the zero-dimensional point also saturates it.
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else if (c.is_equality() || c.inhomogeneous_term() == 0)
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ else
+ // The zero-dimensional point saturates
+ // neither the positivity constraint 1 >= 0,
+ // nor the strict positivity constraint 1 > 0.
+ return Poly_Con_Relation::is_included();
+ }
+
+ dimension_type c_num_vars = 0;
+ dimension_type c_only_var = 0;
+
+ if (Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var))
+ if (c_num_vars == 0)
+ // c is a trivial constraint.
+ switch (sgn(c.inhomogeneous_term())) {
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ case 0:
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ case 1:
+ return Poly_Con_Relation::is_included();
+ }
+ else {
+ // c is an interval constraint.
+ return interval_relation(seq[c_only_var],
+ c.type(),
+ c.inhomogeneous_term(),
+ c.coefficient(Variable(c_only_var)));
+ }
+ else {
+ // Deal with a non-trivial and non-interval constraint.
+ PPL_DIRTY_TEMP(Rational_Interval, r);
+ PPL_DIRTY_TEMP(Rational_Interval, t);
+ PPL_DIRTY_TEMP(mpq_class, m);
+ r = 0;
+ const Constraint::expr_type& e = c.expression();
+ for (Constraint::expr_type::const_iterator i = e.begin(), i_end = e.end();
+ i != i_end; ++i) {
+ assign_r(m, *i, ROUND_NOT_NEEDED);
+ const Variable v = i.variable();
+ // FIXME: an add_mul_assign() method would come handy here.
+ t.build(seq[v.id()].lower_constraint(), seq[v.id()].upper_constraint());
+ t *= m;
+ r += t;
+ }
+ return interval_relation(r,
+ c.type(),
+ c.inhomogeneous_term());
+ }
+
+ // Quiet a compiler warning: this program point is unreachable.
+ PPL_UNREACHABLE;
+ return Poly_Con_Relation::nothing();
+}
+
+template <typename ITV>
+Poly_Gen_Relation
+Box<ITV>::relation_with(const Generator& g) const {
+ const dimension_type space_dim = space_dimension();
+ const dimension_type g_space_dim = g.space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim < g_space_dim)
+ throw_dimension_incompatible("relation_with(g)", g);
+
+ // The empty box cannot subsume a generator.
+ if (is_empty())
+ return Poly_Gen_Relation::nothing();
+
+ // A universe box in a zero-dimensional space subsumes
+ // all the generators of a zero-dimensional space.
+ if (space_dim == 0)
+ return Poly_Gen_Relation::subsumes();
+
+ if (g.is_line_or_ray()) {
+ if (g.is_line()) {
+ const Generator::expr_type& e = g.expression();
+ for (Generator::expr_type::const_iterator i = e.begin(), i_end = e.end();
+ i != i_end; ++i)
+ if (!seq[i.variable().id()].is_universe())
+ return Poly_Gen_Relation::nothing();
+ return Poly_Gen_Relation::subsumes();
+ }
+ else {
+ PPL_ASSERT(g.is_ray());
+ const Generator::expr_type& e = g.expression();
+ for (Generator::expr_type::const_iterator i = e.begin(), i_end = e.end();
+ i != i_end; ++i) {
+ const Variable v = i.variable();
+ switch (sgn(*i)) {
+ case 1:
+ if (!seq[v.id()].upper_is_boundary_infinity())
+ return Poly_Gen_Relation::nothing();
+ break;
+ case 0:
+ PPL_UNREACHABLE;
+ break;
+ case -1:
+ if (!seq[v.id()].lower_is_boundary_infinity())
+ return Poly_Gen_Relation::nothing();
+ break;
+ }
+ }
+ return Poly_Gen_Relation::subsumes();
+ }
+ }
+
+ // Here `g' is a point or closure point.
+ const Coefficient& g_divisor = g.divisor();
+ PPL_DIRTY_TEMP(mpq_class, g_coord);
+ PPL_DIRTY_TEMP(mpq_class, bound);
+ // TODO: If the variables in the expression that have coefficient 0
+ // have no effect on seq[i], this loop can be optimized using
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = g_space_dim; i-- > 0; ) {
+ const ITV& seq_i = seq[i];
+ if (seq_i.is_universe())
+ continue;
+ assign_r(g_coord.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(g_coord.get_den(), g_divisor, ROUND_NOT_NEEDED);
+ g_coord.canonicalize();
+ // Check lower bound.
+ if (!seq_i.lower_is_boundary_infinity()) {
+ assign_r(bound, seq_i.lower(), ROUND_NOT_NEEDED);
+ if (g_coord <= bound) {
+ if (seq_i.lower_is_open()) {
+ if (g.is_point() || g_coord != bound)
+ return Poly_Gen_Relation::nothing();
+ }
+ else if (g_coord != bound)
+ return Poly_Gen_Relation::nothing();
+ }
+ }
+ // Check upper bound.
+ if (!seq_i.upper_is_boundary_infinity()) {
+ assign_r(bound, seq_i.upper(), ROUND_NOT_NEEDED);
+ if (g_coord >= bound) {
+ if (seq_i.upper_is_open()) {
+ if (g.is_point() || g_coord != bound)
+ return Poly_Gen_Relation::nothing();
+ }
+ else if (g_coord != bound)
+ return Poly_Gen_Relation::nothing();
+ }
+ }
+ }
+ return Poly_Gen_Relation::subsumes();
+}
+
+
+template <typename ITV>
+bool
+Box<ITV>::max_min(const Linear_Expression& expr,
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included) const {
+ // `expr' should be dimension-compatible with `*this'.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((maximize
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
+ // Deal with zero-dim Box first.
+ if (space_dim == 0) {
+ if (marked_empty())
+ return false;
+ else {
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ return true;
+ }
+ }
+
+ // For an empty Box we simply return false.
+ if (is_empty())
+ return false;
+
+ PPL_DIRTY_TEMP(mpq_class, result);
+ assign_r(result, expr.inhomogeneous_term(), ROUND_NOT_NEEDED);
+ bool is_included = true;
+ const int maximize_sign = maximize ? 1 : -1;
+ PPL_DIRTY_TEMP(mpq_class, bound_i);
+ PPL_DIRTY_TEMP(mpq_class, expr_i);
+ for (Linear_Expression::const_iterator i = expr.begin(),
+ i_end = expr.end(); i != i_end; ++i) {
+ const ITV& seq_i = seq[i.variable().id()];
+ assign_r(expr_i, *i, ROUND_NOT_NEEDED);
+ switch (sgn(expr_i) * maximize_sign) {
+ case 1:
+ if (seq_i.upper_is_boundary_infinity())
+ return false;
+ assign_r(bound_i, seq_i.upper(), ROUND_NOT_NEEDED);
+ add_mul_assign_r(result, bound_i, expr_i, ROUND_NOT_NEEDED);
+ if (seq_i.upper_is_open())
+ is_included = false;
+ break;
+ case 0:
+ PPL_UNREACHABLE;
+ break;
+ case -1:
+ if (seq_i.lower_is_boundary_infinity())
+ return false;
+ assign_r(bound_i, seq_i.lower(), ROUND_NOT_NEEDED);
+ add_mul_assign_r(result, bound_i, expr_i, ROUND_NOT_NEEDED);
+ if (seq_i.lower_is_open())
+ is_included = false;
+ break;
+ }
+ }
+ // Extract output info.
+ PPL_ASSERT(is_canonical(result));
+ ext_n = result.get_num();
+ ext_d = result.get_den();
+ included = is_included;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::max_min(const Linear_Expression& expr,
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included,
+ Generator& g) const {
+ if (!max_min(expr, maximize, ext_n, ext_d, included))
+ return false;
+
+ // Compute generator `g'.
+ Linear_Expression g_expr;
+ PPL_DIRTY_TEMP(Coefficient, g_divisor);
+ g_divisor = 1;
+ const int maximize_sign = maximize ? 1 : -1;
+ PPL_DIRTY_TEMP(mpq_class, g_coord);
+ PPL_DIRTY_TEMP(Coefficient, numer);
+ PPL_DIRTY_TEMP(Coefficient, denom);
+ PPL_DIRTY_TEMP(Coefficient, lcm);
+ PPL_DIRTY_TEMP(Coefficient, factor);
+ // TODO: Check if the following loop can be optimized to exploit the
+ // (possible) sparseness of expr.
+ for (dimension_type i = space_dimension(); i-- > 0; ) {
+ const ITV& seq_i = seq[i];
+ switch (sgn(expr.coefficient(Variable(i))) * maximize_sign) {
+ case 1:
+ assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
+ break;
+ case 0:
+ // If 0 belongs to the interval, choose it
+ // (and directly proceed to the next iteration).
+ // FIXME: name qualification issue.
+ if (seq_i.contains(0))
+ continue;
+ if (!seq_i.lower_is_boundary_infinity())
+ if (seq_i.lower_is_open())
+ if (!seq_i.upper_is_boundary_infinity())
+ if (seq_i.upper_is_open()) {
+ // Bounded and open interval: compute middle point.
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(mpq_class, q_seq_i_upper);
+ assign_r(q_seq_i_upper, seq_i.upper(), ROUND_NOT_NEEDED);
+ g_coord += q_seq_i_upper;
+ g_coord /= 2;
+ }
+ else
+ // The upper bound is in the interval.
+ assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
+ else {
+ // Lower is open, upper is unbounded.
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ ++g_coord;
+ }
+ else
+ // The lower bound is in the interval.
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ else {
+ // Lower is unbounded, hence upper is bounded
+ // (since we know that 0 does not belong to the interval).
+ PPL_ASSERT(!seq_i.upper_is_boundary_infinity());
+ assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
+ if (seq_i.upper_is_open())
+ --g_coord;
+ }
+ break;
+ case -1:
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ break;
+ }
+ // Add g_coord * Variable(i) to the generator.
+ assign_r(denom, g_coord.get_den(), ROUND_NOT_NEEDED);
+ lcm_assign(lcm, g_divisor, denom);
+ exact_div_assign(factor, lcm, g_divisor);
+ g_expr *= factor;
+ exact_div_assign(factor, lcm, denom);
+ assign_r(numer, g_coord.get_num(), ROUND_NOT_NEEDED);
+ numer *= factor;
+ g_expr += numer * Variable(i);
+ g_divisor = lcm;
+ }
+ g = Generator::point(g_expr, g_divisor);
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::contains(const Box& y) const {
+ const Box& x = *this;
+ // Dimension-compatibility check.
+ if (x.space_dimension() != y.space_dimension())
+ x.throw_dimension_incompatible("contains(y)", y);
+
+ // If `y' is empty, then `x' contains `y'.
+ if (y.is_empty())
+ return true;
+
+ // If `x' is empty, then `x' cannot contain `y'.
+ if (x.is_empty())
+ return false;
+
+ for (dimension_type k = x.seq.size(); k-- > 0; )
+ // FIXME: fix this name qualification issue.
+ if (!x.seq[k].contains(y.seq[k]))
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::is_disjoint_from(const Box& y) const {
+ const Box& x = *this;
+ // Dimension-compatibility check.
+ if (x.space_dimension() != y.space_dimension())
+ x.throw_dimension_incompatible("is_disjoint_from(y)", y);
+
+ // If any of `x' or `y' is marked empty, then they are disjoint.
+ // Note: no need to use `is_empty', as the following loop is anyway correct.
+ if (x.marked_empty() || y.marked_empty())
+ return true;
+
+ for (dimension_type k = x.seq.size(); k-- > 0; )
+ // FIXME: fix this name qualification issue.
+ if (x.seq[k].is_disjoint_from(y.seq[k]))
+ return true;
+ return false;
+}
+
+template <typename ITV>
+inline bool
+Box<ITV>::upper_bound_assign_if_exact(const Box& y) {
+ Box& x = *this;
+
+ // Dimension-compatibility check.
+ if (x.space_dimension() != y.space_dimension())
+ x.throw_dimension_incompatible("upper_bound_assign_if_exact(y)", y);
+
+ // The lub of a box with an empty box is equal to the first box.
+ if (y.is_empty())
+ return true;
+ if (x.is_empty()) {
+ x = y;
+ return true;
+ }
+
+ bool x_j_does_not_contain_y_j = false;
+ bool y_j_does_not_contain_x_j = false;
+
+ for (dimension_type i = x.seq.size(); i-- > 0; ) {
+ const ITV& x_seq_i = x.seq[i];
+ const ITV& y_seq_i = y.seq[i];
+
+ if (!x_seq_i.can_be_exactly_joined_to(y_seq_i))
+ return false;
+
+ // Note: the use of `y_i_does_not_contain_x_i' is needed
+ // because we want to temporarily preserve the old value
+ // of `y_j_does_not_contain_x_j'.
+ bool y_i_does_not_contain_x_i = !y_seq_i.contains(x_seq_i);
+ if (y_i_does_not_contain_x_i && x_j_does_not_contain_y_j)
+ return false;
+ if (!x_seq_i.contains(y_seq_i)) {
+ if (y_j_does_not_contain_x_j)
+ return false;
+ else
+ x_j_does_not_contain_y_j = true;
+ }
+ if (y_i_does_not_contain_x_i)
+ y_j_does_not_contain_x_j = true;
+ }
+
+ // The upper bound is exact: compute it into *this.
+ for (dimension_type k = x.seq.size(); k-- > 0; )
+ x.seq[k].join_assign(y.seq[k]);
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::OK() const {
+ if (status.test_empty_up_to_date() && !status.test_empty()) {
+ Box tmp = *this;
+ tmp.reset_empty_up_to_date();
+ if (tmp.check_empty()) {
+#ifndef NDEBUG
+ std::cerr << "The box is empty, but it is marked as non-empty."
+ << std::endl;
+#endif // NDEBUG
+ return false;
+ }
+ }
+
+ // A box that is not marked empty must have meaningful intervals.
+ if (!marked_empty()) {
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (!seq[k].OK())
+ return false;
+ }
+
+ return true;
+}
+
+template <typename ITV>
+dimension_type
+Box<ITV>::affine_dimension() const {
+ dimension_type d = space_dimension();
+ // A zero-space-dim box always has affine dimension zero.
+ if (d == 0)
+ return 0;
+
+ // An empty box has affine dimension zero.
+ if (is_empty())
+ return 0;
+
+ for (dimension_type k = d; k-- > 0; )
+ if (seq[k].is_singleton())
+ --d;
+
+ return d;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::check_empty() const {
+ PPL_ASSERT(!marked_empty());
+ Box<ITV>& x = const_cast<Box<ITV>&>(*this);
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (seq[k].is_empty()) {
+ x.set_empty();
+ return true;
+ }
+ x.set_nonempty();
+ return false;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::is_universe() const {
+ if (marked_empty())
+ return false;
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (!seq[k].is_universe())
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::is_topologically_closed() const {
+ if (ITV::is_always_topologically_closed() || is_empty())
+ return true;
+
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (!seq[k].is_topologically_closed())
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::is_discrete() const {
+ if (is_empty())
+ return true;
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (!seq[k].is_singleton())
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::is_bounded() const {
+ if (is_empty())
+ return true;
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (!seq[k].is_bounded())
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::contains_integer_point() const {
+ if (marked_empty())
+ return false;
+ for (dimension_type k = seq.size(); k-- > 0; )
+ if (!seq[k].contains_integer_point())
+ return false;
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const {
+ dimension_type space_dim = space_dimension();
+ // The dimension of `expr' must be at most the dimension of *this.
+ if (space_dim < expr.space_dimension())
+ throw_dimension_incompatible("frequency(e, ...)", "e", expr);
+
+ // Check if `expr' has a constant value.
+ // If it is constant, set the frequency `freq_n' to 0
+ // and return true. Otherwise the values for \p expr
+ // are not discrete so return false.
+
+ // Space dimension is 0: if empty, then return false;
+ // otherwise the frequency is 0 and the value is the inhomogeneous term.
+ if (space_dim == 0) {
+ if (is_empty())
+ return false;
+ freq_n = 0;
+ freq_d = 1;
+ val_n = expr.inhomogeneous_term();
+ val_d = 1;
+ return true;
+ }
+
+ // For an empty Box, we simply return false.
+ if (is_empty())
+ return false;
+
+ // The Box has at least 1 dimension and is not empty.
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ PPL_DIRTY_TEMP(mpq_class, tmp);
+ Coefficient c = expr.inhomogeneous_term();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
+ val_denom = 1;
+
+ for (Linear_Expression::const_iterator i = expr.begin(), i_end = expr.end();
+ i != i_end; ++i) {
+ const ITV& seq_i = seq[i.variable().id()];
+ // Check if `v' is constant in the BD shape.
+ if (seq_i.is_singleton()) {
+ // If `v' is constant, replace it in `le' by the value.
+ assign_r(tmp, seq_i.lower(), ROUND_NOT_NEEDED);
+ numer = tmp.get_num();
+ denom = tmp.get_den();
+ c *= denom;
+ c += numer * val_denom * (*i);
+ val_denom *= denom;
+ continue;
+ }
+ // The expression `expr' is not constant.
+ return false;
+ }
+
+ // The expression `expr' is constant.
+ freq_n = 0;
+ freq_d = 1;
+
+ // Reduce `val_n' and `val_d'.
+ normalize2(c, val_denom, val_n, val_d);
+ return true;
+}
+
+template <typename ITV>
+bool
+Box<ITV>::constrains(Variable var) const {
+ // `var' should be one of the dimensions of the polyhedron.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dimension() < var_space_dim)
+ throw_dimension_incompatible("constrains(v)", "v", var);
+
+ if (marked_empty() || !seq[var_space_dim-1].is_universe())
+ return true;
+ // Now force an emptiness check.
+ return is_empty();
+}
+
+template <typename ITV>
+void
+Box<ITV>::unconstrain(const Variables_Set& vars) {
+ // The cylindrification with respect to no dimensions is a no-op.
+ // This case also captures the only legal cylindrification
+ // of a box in a 0-dim space.
+ if (vars.empty())
+ return;
+
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dimension() < min_space_dim)
+ throw_dimension_incompatible("unconstrain(vs)", min_space_dim);
+
+ // If the box is already empty, there is nothing left to do.
+ if (marked_empty())
+ return;
+
+ // Here the box might still be empty (but we haven't detected it yet):
+ // check emptiness of the interval for each of the variables in
+ // `vars' before cylindrification.
+ for (Variables_Set::const_iterator vsi = vars.begin(),
+ vsi_end = vars.end(); vsi != vsi_end; ++vsi) {
+ ITV& seq_vsi = seq[*vsi];
+ if (!seq_vsi.is_empty())
+ seq_vsi.assign(UNIVERSE);
+ else {
+ set_empty();
+ break;
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::topological_closure_assign() {
+ if (ITV::is_always_topologically_closed() || is_empty())
+ return;
+
+ for (dimension_type k = seq.size(); k-- > 0; )
+ seq[k].topological_closure_assign();
+}
+
+template <typename ITV>
+void
+Box<ITV>::wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p,
+ unsigned complexity_threshold,
+ bool wrap_individually) {
+#if 0 // Generic implementation commented out.
+ Implementation::wrap_assign(*this,
+ vars, w, r, o, cs_p,
+ complexity_threshold, wrap_individually,
+ "Box");
+#else // Specialized implementation.
+ PPL_USED(wrap_individually);
+ PPL_USED(complexity_threshold);
+ Box& x = *this;
+
+ // Dimension-compatibility check for `*cs_p', if any.
+ const dimension_type vars_space_dim = vars.space_dimension();
+ if (cs_p != 0 && cs_p->space_dimension() > vars_space_dim) {
+ std::ostringstream s;
+ s << "PPL::Box<ITV>::wrap_assign(vars, w, r, o, cs_p, ...):"
+ << std::endl
+ << "vars.space_dimension() == " << vars_space_dim
+ << ", cs_p->space_dimension() == " << cs_p->space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+ }
+
+ // Wrapping no variable only requires refining with *cs_p, if any.
+ if (vars.empty()) {
+ if (cs_p != 0)
+ refine_with_constraints(*cs_p);
+ return;
+ }
+
+ // Dimension-compatibility check for `vars'.
+ const dimension_type space_dim = x.space_dimension();
+ if (space_dim < vars_space_dim) {
+ std::ostringstream s;
+ s << "PPL::Box<ITV>::wrap_assign(vars, ...):"
+ << std::endl
+ << "this->space_dimension() == " << space_dim
+ << ", required space dimension == " << vars_space_dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+
+ // Wrapping an empty polyhedron is a no-op.
+ if (x.is_empty())
+ return;
+
+ // FIXME: temporarily (ab-) using Coefficient.
+ // Set `min_value' and `max_value' to the minimum and maximum values
+ // a variable of width `w' and signedness `s' can take.
+ PPL_DIRTY_TEMP_COEFFICIENT(min_value);
+ PPL_DIRTY_TEMP_COEFFICIENT(max_value);
+ if (r == UNSIGNED) {
+ min_value = 0;
+ mul_2exp_assign(max_value, Coefficient_one(), w);
+ --max_value;
+ }
+ else {
+ PPL_ASSERT(r == SIGNED_2_COMPLEMENT);
+ mul_2exp_assign(max_value, Coefficient_one(), w-1);
+ neg_assign(min_value, max_value);
+ --max_value;
+ }
+
+ // FIXME: Build the (integer) quadrant interval.
+ PPL_DIRTY_TEMP(ITV, integer_quadrant_itv);
+ PPL_DIRTY_TEMP(ITV, rational_quadrant_itv);
+ {
+ I_Constraint<Coefficient> lower = i_constraint(GREATER_OR_EQUAL, min_value);
+ I_Constraint<Coefficient> upper = i_constraint(LESS_OR_EQUAL, max_value);
+ integer_quadrant_itv.build(lower, upper);
+ // The rational quadrant is only needed if overflow is undefined.
+ if (o == OVERFLOW_UNDEFINED) {
+ ++max_value;
+ upper = i_constraint(LESS_THAN, max_value);
+ rational_quadrant_itv.build(lower, upper);
+ }
+ }
+
+ const Variables_Set::const_iterator vs_end = vars.end();
+
+ if (cs_p == 0) {
+ // No constraint refinement is needed here.
+ switch (o) {
+ case OVERFLOW_WRAPS:
+ for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i)
+ x.seq[*i].wrap_assign(w, r, integer_quadrant_itv);
+ reset_empty_up_to_date();
+ break;
+ case OVERFLOW_UNDEFINED:
+ for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i) {
+ ITV& x_seq_v = x.seq[*i];
+ if (!rational_quadrant_itv.contains(x_seq_v)) {
+ x_seq_v.assign(integer_quadrant_itv);
+ }
+ }
+ break;
+ case OVERFLOW_IMPOSSIBLE:
+ for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i)
+ x.seq[*i].intersect_assign(integer_quadrant_itv);
+ reset_empty_up_to_date();
+ break;
+ }
+ PPL_ASSERT(x.OK());
+ return;
+ }
+
+ PPL_ASSERT(cs_p != 0);
+ const Constraint_System& cs = *cs_p;
+ // A map associating interval constraints to variable indexes.
+ typedef std::map<dimension_type, std::vector<const Constraint*> > map_type;
+ map_type var_cs_map;
+ for (Constraint_System::const_iterator i = cs.begin(),
+ i_end = cs.end(); i != i_end; ++i) {
+ const Constraint& c = *i;
+ dimension_type c_num_vars = 0;
+ dimension_type c_only_var = 0;
+ if (Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var)) {
+ if (c_num_vars == 1) {
+ // An interval constraint on variable index `c_only_var'.
+ PPL_ASSERT(c_only_var < space_dim);
+ // We do care about c if c_only_var is going to be wrapped.
+ if (vars.find(c_only_var) != vs_end)
+ var_cs_map[c_only_var].push_back(&c);
+ }
+ else {
+ PPL_ASSERT(c_num_vars == 0);
+ // Note: tautologies have been filtered out by iterators.
+ PPL_ASSERT(c.is_inconsistent());
+ x.set_empty();
+ return;
+ }
+ }
+ }
+
+ PPL_DIRTY_TEMP(ITV, refinement_itv);
+ const map_type::const_iterator var_cs_map_end = var_cs_map.end();
+ // Loop through the variable indexes in `vars'.
+ for (Variables_Set::const_iterator i = vars.begin(); i != vs_end; ++i) {
+ const dimension_type v = *i;
+ refinement_itv = integer_quadrant_itv;
+ // Look for the refinement constraints for space dimension index `v'.
+ map_type::const_iterator var_cs_map_iter = var_cs_map.find(v);
+ if (var_cs_map_iter != var_cs_map_end) {
+ // Refine interval for variable `v'.
+ const map_type::mapped_type& var_cs = var_cs_map_iter->second;
+ for (dimension_type j = var_cs.size(); j-- > 0; ) {
+ const Constraint& c = *var_cs[j];
+ refine_interval_no_check(refinement_itv,
+ c.type(),
+ c.inhomogeneous_term(),
+ c.coefficient(Variable(v)));
+ }
+ }
+ // Wrap space dimension index `v'.
+ ITV& x_seq_v = x.seq[v];
+ switch (o) {
+ case OVERFLOW_WRAPS:
+ x_seq_v.wrap_assign(w, r, refinement_itv);
+ break;
+ case OVERFLOW_UNDEFINED:
+ if (!rational_quadrant_itv.contains(x_seq_v))
+ x_seq_v.assign(UNIVERSE);
+ break;
+ case OVERFLOW_IMPOSSIBLE:
+ x_seq_v.intersect_assign(refinement_itv);
+ break;
+ }
+ }
+ PPL_ASSERT(x.OK());
+#endif
+}
+
+template <typename ITV>
+void
+Box<ITV>::drop_some_non_integer_points(Complexity_Class) {
+ if (std::numeric_limits<typename ITV::boundary_type>::is_integer
+ && !ITV::info_type::store_open)
+ return;
+
+ if (marked_empty())
+ return;
+
+ for (dimension_type k = seq.size(); k-- > 0; )
+ seq[k].drop_some_non_integer_points();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class) {
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dimension() < min_space_dim)
+ throw_dimension_incompatible("drop_some_non_integer_points(vs, cmpl)",
+ min_space_dim);
+
+ if (std::numeric_limits<typename ITV::boundary_type>::is_integer
+ && !ITV::info_type::store_open)
+ return;
+
+ if (marked_empty())
+ return;
+
+ for (Variables_Set::const_iterator v_i = vars.begin(),
+ v_end = vars.end(); v_i != v_end; ++v_i)
+ seq[*v_i].drop_some_non_integer_points();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::intersection_assign(const Box& y) {
+ Box& x = *this;
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ x.throw_dimension_incompatible("intersection_assign(y)", y);
+
+ // If one of the two boxes is empty, the intersection is empty.
+ if (x.marked_empty())
+ return;
+ if (y.marked_empty()) {
+ x.set_empty();
+ return;
+ }
+
+ // If both boxes are zero-dimensional, then at this point they are
+ // necessarily non-empty, so that their intersection is non-empty too.
+ if (space_dim == 0)
+ return;
+
+ // FIXME: here we may conditionally exploit a capability of the
+ // underlying interval to eagerly detect empty results.
+ reset_empty_up_to_date();
+
+ for (dimension_type k = space_dim; k-- > 0; )
+ x.seq[k].intersect_assign(y.seq[k]);
+
+ PPL_ASSERT(x.OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::upper_bound_assign(const Box& y) {
+ Box& x = *this;
+
+ // Dimension-compatibility check.
+ if (x.space_dimension() != y.space_dimension())
+ x.throw_dimension_incompatible("upper_bound_assign(y)", y);
+
+ // The lub of a box with an empty box is equal to the first box.
+ if (y.is_empty())
+ return;
+ if (x.is_empty()) {
+ x = y;
+ return;
+ }
+
+ for (dimension_type k = x.seq.size(); k-- > 0; )
+ x.seq[k].join_assign(y.seq[k]);
+
+ PPL_ASSERT(x.OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::concatenate_assign(const Box& y) {
+ Box& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+ const dimension_type y_space_dim = y.space_dimension();
+
+ // If `y' is marked empty, the result will be empty too.
+ if (y.marked_empty())
+ x.set_empty();
+
+ // If `y' is a 0-dim space box, there is nothing left to do.
+ if (y_space_dim == 0)
+ return;
+ // The resulting space dimension must be at most the maximum.
+ check_space_dimension_overflow(y.space_dimension(),
+ max_space_dimension() - space_dimension(),
+ "PPL::Box::",
+ "concatenate_assign(y)",
+ "concatenation exceeds the maximum "
+ "allowed space dimension");
+ // Here `y_space_dim > 0', so that a non-trivial concatenation will occur:
+ // make sure that reallocation will occur once at most.
+ x.seq.reserve(x_space_dim + y_space_dim);
+
+ // If `x' is marked empty, then it is sufficient to adjust
+ // the dimension of the vector space.
+ if (x.marked_empty()) {
+ x.seq.insert(x.seq.end(), y_space_dim, ITV(EMPTY));
+ PPL_ASSERT(x.OK());
+ return;
+ }
+
+ // Here neither `x' nor `y' are marked empty: concatenate them.
+ std::copy(y.seq.begin(), y.seq.end(),
+ std::back_insert_iterator<Sequence>(x.seq));
+ // Update the `empty_up_to_date' flag.
+ if (!y.status.test_empty_up_to_date())
+ reset_empty_up_to_date();
+
+ PPL_ASSERT(x.OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::difference_assign(const Box& y) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("difference_assign(y)", y);
+
+ Box& x = *this;
+ if (x.is_empty() || y.is_empty())
+ return;
+
+ switch (space_dim) {
+ case 0:
+ // If `x' is zero-dimensional, then at this point both `x' and `y'
+ // are the universe box, so that their difference is empty.
+ x.set_empty();
+ break;
+
+ case 1:
+ x.seq[0].difference_assign(y.seq[0]);
+ if (x.seq[0].is_empty())
+ x.set_empty();
+ break;
+
+ default:
+ {
+ dimension_type index_non_contained = space_dim;
+ dimension_type number_non_contained = 0;
+ for (dimension_type i = space_dim; i-- > 0; )
+ if (!y.seq[i].contains(x.seq[i])) {
+ if (++number_non_contained == 1)
+ index_non_contained = i;
+ else
+ break;
+ }
+
+ switch (number_non_contained) {
+ case 0:
+ // `y' covers `x': the difference is empty.
+ x.set_empty();
+ break;
+ case 1:
+ x.seq[index_non_contained]
+ .difference_assign(y.seq[index_non_contained]);
+ if (x.seq[index_non_contained].is_empty())
+ x.set_empty();
+ break;
+ default:
+ // Nothing to do: the difference is `x'.
+ break;
+ }
+ }
+ break;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+bool
+Box<ITV>::simplify_using_context_assign(const Box& y) {
+ Box& x = *this;
+ const dimension_type num_dims = x.space_dimension();
+ // Dimension-compatibility check.
+ if (num_dims != y.space_dimension())
+ x.throw_dimension_incompatible("simplify_using_context_assign(y)", y);
+
+ // Filter away the zero-dimensional case.
+ if (num_dims == 0) {
+ if (y.marked_empty()) {
+ x.set_nonempty();
+ return false;
+ }
+ else
+ return !x.marked_empty();
+ }
+
+ // Filter away the case when `y' is empty.
+ if (y.is_empty()) {
+ for (dimension_type i = num_dims; i-- > 0; )
+ x.seq[i].assign(UNIVERSE);
+ x.set_nonempty();
+ return false;
+ }
+
+ if (x.is_empty()) {
+ // Find in `y' a non-universe interval, if any.
+ for (dimension_type i = 0; i < num_dims; ++i) {
+ if (y.seq[i].is_universe())
+ x.seq[i].assign(UNIVERSE);
+ else {
+ // Set x.seq[i] so as to contradict y.seq[i], if possible.
+ ITV& seq_i = x.seq[i];
+ seq_i.empty_intersection_assign(y.seq[i]);
+ if (seq_i.is_empty()) {
+ // We were not able to assign to `seq_i' a non-empty interval:
+ // reset `seq_i' to the universe interval and keep searching.
+ seq_i.assign(UNIVERSE);
+ continue;
+ }
+ // We assigned to `seq_i' a non-empty interval:
+ // set the other intervals to universe and return.
+ for (++i; i < num_dims; ++i)
+ x.seq[i].assign(UNIVERSE);
+ x.set_nonempty();
+ PPL_ASSERT(x.OK());
+ return false;
+ }
+ }
+ // All intervals in `y' are universe or could not be contradicted:
+ // simplification can leave the empty box `x' as is.
+ PPL_ASSERT(x.OK() && x.is_empty());
+ return false;
+ }
+
+ // Loop index `i' is intentionally going upwards.
+ for (dimension_type i = 0; i < num_dims; ++i) {
+ if (!x.seq[i].simplify_using_context_assign(y.seq[i])) {
+ PPL_ASSERT(!x.seq[i].is_empty());
+ // The intersection of `x' and `y' is empty due to the i-th interval:
+ // reset other intervals to UNIVERSE.
+ for (dimension_type j = num_dims; j-- > i; )
+ x.seq[j].assign(UNIVERSE);
+ for (dimension_type j = i; j-- > 0; )
+ x.seq[j].assign(UNIVERSE);
+ PPL_ASSERT(x.OK());
+ return false;
+ }
+ }
+ PPL_ASSERT(x.OK());
+ return true;
+}
+
+template <typename ITV>
+void
+Box<ITV>::time_elapse_assign(const Box& y) {
+ Box& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ x.throw_dimension_incompatible("time_elapse_assign(y)", y);
+
+ // Dealing with the zero-dimensional case.
+ if (x_space_dim == 0) {
+ if (y.marked_empty())
+ x.set_empty();
+ return;
+ }
+
+ // If either one of `x' or `y' is empty, the result is empty too.
+ // Note: if possible, avoid cost of checking for emptiness.
+ if (x.marked_empty() || y.marked_empty()
+ || x.is_empty() || y.is_empty()) {
+ x.set_empty();
+ return;
+ }
+
+ for (dimension_type i = x_space_dim; i-- > 0; ) {
+ ITV& x_seq_i = x.seq[i];
+ const ITV& y_seq_i = y.seq[i];
+ if (!x_seq_i.lower_is_boundary_infinity())
+ if (y_seq_i.lower_is_boundary_infinity() || y_seq_i.lower() < 0)
+ x_seq_i.lower_extend();
+ if (!x_seq_i.upper_is_boundary_infinity())
+ if (y_seq_i.upper_is_boundary_infinity() || y_seq_i.upper() > 0)
+ x_seq_i.upper_extend();
+ }
+ PPL_ASSERT(x.OK());
+}
+
+template <typename ITV>
+inline void
+Box<ITV>::remove_space_dimensions(const Variables_Set& vars) {
+ // The removal of no dimensions from any box is a no-op.
+ // Note that this case also captures the only legal removal of
+ // space dimensions from a box in a zero-dimensional space.
+ if (vars.empty()) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ const dimension_type old_space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ const dimension_type vsi_space_dim = vars.space_dimension();
+ if (old_space_dim < vsi_space_dim)
+ throw_dimension_incompatible("remove_space_dimensions(vs)",
+ vsi_space_dim);
+
+ const dimension_type new_space_dim = old_space_dim - vars.size();
+
+ // If the box is empty (this must be detected), then resizing is all
+ // what is needed. If it is not empty and we are removing _all_ the
+ // dimensions then, again, resizing suffices.
+ if (is_empty() || new_space_dim == 0) {
+ seq.resize(new_space_dim);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // For each variable to be removed, we fill the corresponding interval
+ // by shifting left those intervals that will not be removed.
+ Variables_Set::const_iterator vsi = vars.begin();
+ Variables_Set::const_iterator vsi_end = vars.end();
+ dimension_type dst = *vsi;
+ dimension_type src = dst + 1;
+ for (++vsi; vsi != vsi_end; ++vsi) {
+ const dimension_type vsi_next = *vsi;
+ // All intervals in between are moved to the left.
+ while (src < vsi_next)
+ swap(seq[dst++], seq[src++]);
+ ++src;
+ }
+ // Moving the remaining intervals.
+ while (src < old_space_dim)
+ swap(seq[dst++], seq[src++]);
+
+ PPL_ASSERT(dst == new_space_dim);
+ seq.resize(new_space_dim);
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::remove_higher_space_dimensions(const dimension_type new_dimension) {
+ // Dimension-compatibility check: the variable having
+ // maximum index is the one occurring last in the set.
+ const dimension_type space_dim = space_dimension();
+ if (new_dimension > space_dim)
+ throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
+ new_dimension);
+
+ // The removal of no dimensions from any box is a no-op.
+ // Note that this case also captures the only legal removal of
+ // dimensions from a zero-dim space box.
+ if (new_dimension == space_dim) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ seq.resize(new_dimension);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+template <typename Partial_Function>
+void
+Box<ITV>::map_space_dimensions(const Partial_Function& pfunc) {
+ const dimension_type space_dim = space_dimension();
+ if (space_dim == 0)
+ return;
+
+ if (pfunc.has_empty_codomain()) {
+ // All dimensions vanish: the box becomes zero_dimensional.
+ remove_higher_space_dimensions(0);
+ return;
+ }
+
+ const dimension_type new_space_dim = pfunc.max_in_codomain() + 1;
+ // If the box is empty, then simply adjust the space dimension.
+ if (is_empty()) {
+ remove_higher_space_dimensions(new_space_dim);
+ return;
+ }
+
+ // We create a new Box with the new space dimension.
+ Box<ITV> tmp(new_space_dim);
+ // Map the intervals, exchanging the indexes.
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ dimension_type new_i;
+ if (pfunc.maps(i, new_i))
+ swap(seq[i], tmp.seq[new_i]);
+ }
+ m_swap(tmp);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::fold_space_dimensions(const Variables_Set& vars,
+ const Variable dest) {
+ const dimension_type space_dim = space_dimension();
+ // `dest' should be one of the dimensions of the box.
+ if (dest.space_dimension() > space_dim)
+ throw_dimension_incompatible("fold_space_dimensions(vs, v)", "v", dest);
+
+ // The folding of no dimensions is a no-op.
+ if (vars.empty())
+ return;
+
+ // All variables in `vars' should be dimensions of the box.
+ if (vars.space_dimension() > space_dim)
+ throw_dimension_incompatible("fold_space_dimensions(vs, v)",
+ vars.space_dimension());
+
+ // Moreover, `dest.id()' should not occur in `vars'.
+ if (vars.find(dest.id()) != vars.end())
+ throw_invalid_argument("fold_space_dimensions(vs, v)",
+ "v should not occur in vs");
+
+ // Note: the check for emptiness is needed for correctness.
+ if (!is_empty()) {
+ // Join the interval corresponding to variable `dest' with the intervals
+ // corresponding to the variables in `vars'.
+ ITV& seq_v = seq[dest.id()];
+ for (Variables_Set::const_iterator i = vars.begin(),
+ vs_end = vars.end(); i != vs_end; ++i)
+ seq_v.join_assign(seq[*i]);
+ }
+ remove_space_dimensions(vars);
+}
+
+template <typename ITV>
+void
+Box<ITV>::add_constraint_no_check(const Constraint& c) {
+ PPL_ASSERT(c.space_dimension() <= space_dimension());
+
+ dimension_type c_num_vars = 0;
+ dimension_type c_only_var = 0;
+ // Throw an exception if c is not an interval constraints.
+ if (!Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var))
+ throw_invalid_argument("add_constraint(c)",
+ "c is not an interval constraint");
+
+ // Throw an exception if c is a nontrivial strict constraint
+ // and ITV does not support open boundaries.
+ if (c.is_strict_inequality() && c_num_vars != 0
+ && ITV::is_always_topologically_closed())
+ throw_invalid_argument("add_constraint(c)",
+ "c is a nontrivial strict constraint");
+
+ // Avoid doing useless work if the box is known to be empty.
+ if (marked_empty())
+ return;
+
+ const Coefficient& n = c.inhomogeneous_term();
+ if (c_num_vars == 0) {
+ // Dealing with a trivial constraint.
+ if (n < 0
+ || (c.is_equality() && n != 0)
+ || (c.is_strict_inequality() && n == 0))
+ set_empty();
+ return;
+ }
+
+ PPL_ASSERT(c_num_vars == 1);
+ const Coefficient& d = c.coefficient(Variable(c_only_var));
+ add_interval_constraint_no_check(c_only_var, c.type(), n, d);
+}
+
+template <typename ITV>
+void
+Box<ITV>::add_constraints_no_check(const Constraint_System& cs) {
+ PPL_ASSERT(cs.space_dimension() <= space_dimension());
+ // Note: even when the box is known to be empty, we need to go
+ // through all the constraints to fulfill the method's contract
+ // for what concerns exception throwing.
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); i != cs_end; ++i)
+ add_constraint_no_check(*i);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::add_congruence_no_check(const Congruence& cg) {
+ PPL_ASSERT(cg.space_dimension() <= space_dimension());
+
+ // Set aside the case of proper congruences.
+ if (cg.is_proper_congruence()) {
+ if (cg.is_inconsistent()) {
+ set_empty();
+ return;
+ }
+ else if (cg.is_tautological())
+ return;
+ else
+ throw_invalid_argument("add_congruence(cg)",
+ "cg is a nontrivial proper congruence");
+ }
+
+ PPL_ASSERT(cg.is_equality());
+ dimension_type cg_num_vars = 0;
+ dimension_type cg_only_var = 0;
+ // Throw an exception if c is not an interval congruence.
+ if (!Box_Helpers::extract_interval_congruence(cg, cg_num_vars, cg_only_var))
+ throw_invalid_argument("add_congruence(cg)",
+ "cg is not an interval congruence");
+
+ // Avoid doing useless work if the box is known to be empty.
+ if (marked_empty())
+ return;
+
+ const Coefficient& n = cg.inhomogeneous_term();
+ if (cg_num_vars == 0) {
+ // Dealing with a trivial equality congruence.
+ if (n != 0)
+ set_empty();
+ return;
+ }
+
+ PPL_ASSERT(cg_num_vars == 1);
+ const Coefficient& d = cg.coefficient(Variable(cg_only_var));
+ add_interval_constraint_no_check(cg_only_var, Constraint::EQUALITY, n, d);
+}
+
+template <typename ITV>
+void
+Box<ITV>::add_congruences_no_check(const Congruence_System& cgs) {
+ PPL_ASSERT(cgs.space_dimension() <= space_dimension());
+ // Note: even when the box is known to be empty, we need to go
+ // through all the congruences to fulfill the method's contract
+ // for what concerns exception throwing.
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); i != cgs_end; ++i)
+ add_congruence_no_check(*i);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::refine_no_check(const Constraint& c) {
+ PPL_ASSERT(c.space_dimension() <= space_dimension());
+ PPL_ASSERT(!marked_empty());
+
+ dimension_type c_num_vars = 0;
+ dimension_type c_only_var = 0;
+ // Non-interval constraints are approximated.
+ if (!Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var)) {
+ propagate_constraint_no_check(c);
+ return;
+ }
+
+ const Coefficient& n = c.inhomogeneous_term();
+ if (c_num_vars == 0) {
+ // Dealing with a trivial constraint.
+ if (n < 0
+ || (c.is_equality() && n != 0)
+ || (c.is_strict_inequality() && n == 0))
+ set_empty();
+ return;
+ }
+
+ PPL_ASSERT(c_num_vars == 1);
+ const Coefficient& d = c.coefficient(Variable(c_only_var));
+ add_interval_constraint_no_check(c_only_var, c.type(), n, d);
+}
+
+template <typename ITV>
+void
+Box<ITV>::refine_no_check(const Constraint_System& cs) {
+ PPL_ASSERT(cs.space_dimension() <= space_dimension());
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ refine_no_check(*i);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::refine_no_check(const Congruence& cg) {
+ PPL_ASSERT(!marked_empty());
+
+ PPL_ASSERT(cg.space_dimension() <= space_dimension());
+
+ if (cg.is_proper_congruence()) {
+ // A proper congruences is also an interval constraint
+ // if and only if it is trivial.
+ if (cg.is_inconsistent())
+ set_empty();
+ return;
+ }
+
+ PPL_ASSERT(cg.is_equality());
+ Constraint c(cg);
+ refine_no_check(c);
+}
+
+template <typename ITV>
+void
+Box<ITV>::refine_no_check(const Congruence_System& cgs) {
+ PPL_ASSERT(cgs.space_dimension() <= space_dimension());
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
+ refine_no_check(*i);
+ PPL_ASSERT(OK());
+}
+
+#if 1 // Alternative implementations for propagate_constraint_no_check.
+namespace Implementation {
+
+namespace Boxes {
+
+inline bool
+propagate_constraint_check_result(Result r, Ternary& open) {
+ r = result_relation_class(r);
+ switch (r) {
+ case V_GT_MINUS_INFINITY:
+ case V_LT_PLUS_INFINITY:
+ return true;
+ case V_LT:
+ case V_GT:
+ open = T_YES;
+ return false;
+ case V_LE:
+ case V_GE:
+ if (open == T_NO)
+ open = T_MAYBE;
+ return false;
+ case V_EQ:
+ return false;
+ default:
+ PPL_UNREACHABLE;
+ return true;
+ }
+}
+
+} // namespace Boxes
+
+} // namespace Implementation
+
+
+template <typename ITV>
+void
+Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
+ using namespace Implementation::Boxes;
+
+ PPL_ASSERT(c.space_dimension() <= space_dimension());
+
+ typedef
+ typename Select_Temp_Boundary_Type<typename ITV::boundary_type>::type
+ Temp_Boundary_Type;
+
+ const dimension_type c_space_dim = c.space_dimension();
+ const Constraint::Type c_type = c.type();
+ const Coefficient& c_inhomogeneous_term = c.inhomogeneous_term();
+
+ // Find a space dimension having a non-zero coefficient (if any).
+ const dimension_type last_k
+ = c.expression().last_nonzero(1, c_space_dim + 1);
+ if (last_k == c_space_dim + 1) {
+ // Constraint c is trivial: check if it is inconsistent.
+ if (c_inhomogeneous_term < 0
+ || (c_inhomogeneous_term == 0
+ && c_type != Constraint::NONSTRICT_INEQUALITY))
+ set_empty();
+ return;
+ }
+
+ // Here constraint c is non-trivial.
+ PPL_ASSERT(last_k <= c_space_dim);
+ Temp_Boundary_Type t_bound;
+ Temp_Boundary_Type t_a;
+ Temp_Boundary_Type t_x;
+ Ternary open;
+ const Constraint::expr_type c_e = c.expression();
+ for (Constraint::expr_type::const_iterator k = c_e.begin(),
+ k_end = c_e.lower_bound(Variable(last_k)); k != k_end; ++k) {
+ const Coefficient& a_k = *k;
+ const Variable k_var = k.variable();
+ const int sgn_a_k = sgn(a_k);
+ if (sgn_a_k == 0)
+ continue;
+ Result r;
+ if (sgn_a_k > 0) {
+ open = (c_type == Constraint::STRICT_INEQUALITY) ? T_YES : T_NO;
+ if (open == T_NO)
+ maybe_reset_fpu_inexact<Temp_Boundary_Type>();
+ r = assign_r(t_bound, c_inhomogeneous_term, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ r = neg_assign_r(t_bound, t_bound, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(last_k)); i != i_end; ++i) {
+ const Variable i_var = i.variable();
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.lower_is_boundary_infinity())
+ goto maybe_refine_upper_1;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.upper_is_boundary_infinity())
+ goto maybe_refine_upper_1;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ }
+ }
+ r = assign_r(t_a, a_k, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ r = div_assign_r(t_bound, t_bound, t_a, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+
+ // Refine the lower bound of `seq[k]' with `t_bound'.
+ if (open == T_MAYBE
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
+ {
+ const Relation_Symbol rel
+ = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
+ seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
+ }
+ reset_empty_up_to_date();
+ maybe_refine_upper_1:
+ if (c_type != Constraint::EQUALITY)
+ continue;
+ open = T_NO;
+ maybe_reset_fpu_inexact<Temp_Boundary_Type>();
+ r = assign_r(t_bound, c_inhomogeneous_term, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = neg_assign_r(t_bound, t_bound, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
+ const Variable i_var = i.variable();
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.upper_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.lower_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
+ }
+ r = assign_r(t_a, a_k, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = div_assign_r(t_bound, t_bound, t_a, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+
+ // Refine the upper bound of seq[k] with t_bound.
+ if (open == T_MAYBE
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
+ const Relation_Symbol rel
+ = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
+ seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
+ reset_empty_up_to_date();
+ }
+ else {
+ PPL_ASSERT(sgn_a_k < 0);
+ open = (c_type == Constraint::STRICT_INEQUALITY) ? T_YES : T_NO;
+ if (open == T_NO)
+ maybe_reset_fpu_inexact<Temp_Boundary_Type>();
+ r = assign_r(t_bound, c_inhomogeneous_term, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ r = neg_assign_r(t_bound, t_bound, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
+ const Variable i_var = i.variable();
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.lower_is_boundary_infinity())
+ goto maybe_refine_upper_2;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.upper_is_boundary_infinity())
+ goto maybe_refine_upper_2;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ }
+ }
+ r = assign_r(t_a, a_k, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ r = div_assign_r(t_bound, t_bound, t_a, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+
+ // Refine the upper bound of seq[k] with t_bound.
+ if (open == T_MAYBE
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
+ {
+ const Relation_Symbol rel
+ = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
+ seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
+ }
+ reset_empty_up_to_date();
+ maybe_refine_upper_2:
+ if (c_type != Constraint::EQUALITY)
+ continue;
+ open = T_NO;
+ maybe_reset_fpu_inexact<Temp_Boundary_Type>();
+ r = assign_r(t_bound, c_inhomogeneous_term, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = neg_assign_r(t_bound, t_bound, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
+ const Variable i_var = i.variable();
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.upper_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.lower_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
+ }
+ r = assign_r(t_a, a_k, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = div_assign_r(t_bound, t_bound, t_a, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+
+ // Refine the lower bound of seq[k] with t_bound.
+ if (open == T_MAYBE
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
+ const Relation_Symbol rel
+ = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
+ seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
+ reset_empty_up_to_date();
+ }
+ next_k:
+ ;
+ }
+}
+
+#else // Alternative implementations for propagate_constraint_no_check.
+
+template <typename ITV>
+void
+Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
+ PPL_ASSERT(c.space_dimension() <= space_dimension());
+
+ dimension_type c_space_dim = c.space_dimension();
+ ITV k[c_space_dim];
+ ITV p[c_space_dim];
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
+ const Variable i_var = i.variable();
+ k[i_var.id()] = *i;
+ ITV& p_i = p[i_var.id()];
+ p_i = seq[i_var.id()];
+ p_i.mul_assign(p_i, k[i_var.id()]);
+ }
+ const Coefficient& inhomogeneous_term = c.inhomogeneous_term();
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
+ const Variable i_var = i.variable();
+ int sgn_coefficient_i = sgn(*i);
+ ITV q(inhomogeneous_term);
+ for (Constraint::expr_type::const_iterator j = c_e.begin(),
+ j_end = c_e.lower_bound(Variable(c_space_dim)); j != j_end; ++j) {
+ const Variable j_var = j.variable();
+ if (i_var == j_var)
+ continue;
+ q.add_assign(q, p[j_var.id()]);
+ }
+ q.div_assign(q, k[i_var.id()]);
+ q.neg_assign(q);
+ Relation_Symbol rel;
+ switch (c.type()) {
+ case Constraint::EQUALITY:
+ rel = EQUAL;
+ break;
+ case Constraint::NONSTRICT_INEQUALITY:
+ rel = (sgn_coefficient_i > 0) ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
+ break;
+ case Constraint::STRICT_INEQUALITY:
+ rel = (sgn_coefficient_i > 0) ? GREATER_THAN : LESS_THAN;
+ break;
+ }
+ seq[i_var.id()].add_constraint(i_constraint(rel, q));
+ // FIXME: could/should we exploit the return value of add_constraint
+ // in case it is available?
+ // FIXME: should we instead be lazy and do not even bother about
+ // the possibility the interval becomes empty apart from setting
+ // empty_up_to_date = false?
+ if (seq[i_var.id()].is_empty()) {
+ set_empty();
+ break;
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+#endif // Alternative implementations for propagate_constraint_no_check.
+
+template <typename ITV>
+void
+Box<ITV>
+::propagate_constraints_no_check(const Constraint_System& cs,
+ const dimension_type max_iterations) {
+ const dimension_type space_dim = space_dimension();
+ PPL_ASSERT(cs.space_dimension() <= space_dim);
+
+ const Constraint_System::const_iterator cs_begin = cs.begin();
+ const Constraint_System::const_iterator cs_end = cs.end();
+ const dimension_type propagation_weight
+ = Implementation::num_constraints(cs) * space_dim;
+
+ Sequence copy;
+ bool changed;
+ dimension_type num_iterations = 0;
+ do {
+ WEIGHT_BEGIN();
+ ++num_iterations;
+ copy = seq;
+ for (Constraint_System::const_iterator i = cs_begin; i != cs_end; ++i)
+ propagate_constraint_no_check(*i);
+
+ WEIGHT_ADD_MUL(40, propagation_weight);
+ // Check if the client has requested abandoning all expensive
+ // computations. If so, the exception specified by the client
+ // is thrown now.
+ maybe_abandon();
+
+ // NOTE: if max_iterations == 0 (i.e., no iteration limit is set)
+ // the following test will anyway trigger on wrap around.
+ if (num_iterations == max_iterations)
+ break;
+
+ changed = (copy != seq);
+ } while (changed);
+}
+
+template <typename ITV>
+void
+Box<ITV>::affine_image(const Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("affine_image(v, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("affine_image(v, e, d)", "e", expr);
+ // `var' should be one of the dimensions of the polyhedron.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dim < var_space_dim)
+ throw_dimension_incompatible("affine_image(v, e, d)", "v", var);
+
+ if (is_empty())
+ return;
+
+ Tmp_Interval_Type expr_value;
+ Tmp_Interval_Type temp0;
+ Tmp_Interval_Type temp1;
+ expr_value.assign(expr.inhomogeneous_term());
+ for (Linear_Expression::const_iterator i = expr.begin(),
+ i_end = expr.end(); i != i_end; ++i) {
+ temp0.assign(*i);
+ temp1.assign(seq[i.variable().id()]);
+ temp0.mul_assign(temp0, temp1);
+ expr_value.add_assign(expr_value, temp0);
+ }
+ if (denominator != 1) {
+ temp0.assign(denominator);
+ expr_value.div_assign(expr_value, temp0);
+ }
+ seq[var.id()].assign(expr_value);
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::affine_form_image(const Variable var,
+ const Linear_Form<ITV>& lf) {
+
+ // Check that ITV has a floating point boundary type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<typename ITV::boundary_type>
+ ::is_exact, "Box<ITV>::affine_form_image(Variable, Linear_Form):"
+ "ITV has not a floating point boundary type.");
+
+ // Dimension-compatibility checks.
+ const dimension_type space_dim = space_dimension();
+ const dimension_type lf_space_dim = lf.space_dimension();
+ if (space_dim < lf_space_dim)
+ throw_dimension_incompatible("affine_form_image(var, lf)", "lf", lf);
+ // `var' should be one of the dimensions of the polyhedron.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dim < var_space_dim)
+ throw_dimension_incompatible("affine_form_image(var, lf)", "var", var);
+
+ if (is_empty())
+ return;
+
+ // Intervalization of 'lf'.
+ ITV result = lf.inhomogeneous_term();
+ for (dimension_type i = 0; i < lf_space_dim; ++i) {
+ ITV current_addend = lf.coefficient(Variable(i));
+ const ITV& curr_int = seq[i];
+ current_addend *= curr_int;
+ result += current_addend;
+ }
+
+ seq[var.id()].assign(result);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::affine_preimage(const Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ const dimension_type x_space_dim = space_dimension();
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (x_space_dim < expr_space_dim)
+ throw_dimension_incompatible("affine_preimage(v, e, d)", "e", expr);
+ // `var' should be one of the dimensions of the polyhedron.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (x_space_dim < var_space_dim)
+ throw_dimension_incompatible("affine_preimage(v, e, d)", "v", var);
+
+ if (is_empty())
+ return;
+
+ const Coefficient& expr_v = expr.coefficient(var);
+ const bool invertible = (expr_v != 0);
+ if (!invertible) {
+ Tmp_Interval_Type expr_value;
+ Tmp_Interval_Type temp0;
+ Tmp_Interval_Type temp1;
+ expr_value.assign(expr.inhomogeneous_term());
+ for (Linear_Expression::const_iterator i = expr.begin(),
+ i_end = expr.end(); i != i_end; ++i) {
+ temp0.assign(*i);
+ temp1.assign(seq[i.variable().id()]);
+ temp0.mul_assign(temp0, temp1);
+ expr_value.add_assign(expr_value, temp0);
+ }
+ if (denominator != 1) {
+ temp0.assign(denominator);
+ expr_value.div_assign(expr_value, temp0);
+ }
+ ITV& x_seq_v = seq[var.id()];
+ expr_value.intersect_assign(x_seq_v);
+ if (expr_value.is_empty())
+ set_empty();
+ else
+ x_seq_v.assign(UNIVERSE);
+ }
+ else {
+ // The affine transformation is invertible.
+ // CHECKME: for efficiency, would it be meaningful to avoid
+ // the computation of inverse by partially evaluating the call
+ // to affine_image?
+ Linear_Expression inverse;
+ inverse -= expr;
+ inverse += (expr_v + denominator) * var;
+ affine_image(var, inverse, expr_v);
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>
+::bounded_affine_image(const Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ const dimension_type space_dim = space_dimension();
+ // The dimension of `lb_expr' and `ub_expr' should not be
+ // greater than the dimension of `*this'.
+ const dimension_type lb_space_dim = lb_expr.space_dimension();
+ if (space_dim < lb_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "lb", lb_expr);
+ const dimension_type ub_space_dim = ub_expr.space_dimension();
+ if (space_dim < ub_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "ub", ub_expr);
+ // `var' should be one of the dimensions of the box.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dim < var_space_dim)
+ throw_dimension_incompatible("affine_image(v, e, d)", "v", var);
+
+ // Any image of an empty box is empty.
+ if (is_empty())
+ return;
+
+ // Add the constraint implied by the `lb_expr' and `ub_expr'.
+ if (denominator > 0)
+ refine_with_constraint(lb_expr <= ub_expr);
+ else
+ refine_with_constraint(lb_expr >= ub_expr);
+
+ // Check whether `var' occurs in `lb_expr' and/or `ub_expr'.
+ if (lb_expr.coefficient(var) == 0) {
+ // Here `var' can only occur in `ub_expr'.
+ generalized_affine_image(var,
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
+ if (denominator > 0)
+ refine_with_constraint(lb_expr <= denominator*var);
+ else
+ refine_with_constraint(denominator*var <= lb_expr);
+ }
+ else if (ub_expr.coefficient(var) == 0) {
+ // Here `var' can only occur in `lb_expr'.
+ generalized_affine_image(var,
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
+ if (denominator > 0)
+ refine_with_constraint(denominator*var <= ub_expr);
+ else
+ refine_with_constraint(ub_expr <= denominator*var);
+ }
+ else {
+ // Here `var' occurs in both `lb_expr' and `ub_expr'. As boxes
+ // can only use the non-relational constraints, we find the
+ // maximum/minimum values `ub_expr' and `lb_expr' obtain with the
+ // box and use these instead of the `ub-expr' and `lb-expr'.
+ PPL_DIRTY_TEMP(Coefficient, max_numer);
+ PPL_DIRTY_TEMP(Coefficient, max_denom);
+ bool max_included;
+ PPL_DIRTY_TEMP(Coefficient, min_numer);
+ PPL_DIRTY_TEMP(Coefficient, min_denom);
+ bool min_included;
+ ITV& seq_v = seq[var.id()];
+ if (maximize(ub_expr, max_numer, max_denom, max_included)) {
+ if (minimize(lb_expr, min_numer, min_denom, min_included)) {
+ // The `ub_expr' has a maximum value and the `lb_expr'
+ // has a minimum value for the box.
+ // Set the bounds for `var' using the minimum for `lb_expr'.
+ min_denom *= denominator;
+ PPL_DIRTY_TEMP(mpq_class, q1);
+ PPL_DIRTY_TEMP(mpq_class, q2);
+ assign_r(q1.get_num(), min_numer, ROUND_NOT_NEEDED);
+ assign_r(q1.get_den(), min_denom, ROUND_NOT_NEEDED);
+ q1.canonicalize();
+ // Now make the maximum of lb_expr the upper bound. If the
+ // maximum is not at a box point, then inequality is strict.
+ max_denom *= denominator;
+ assign_r(q2.get_num(), max_numer, ROUND_NOT_NEEDED);
+ assign_r(q2.get_den(), max_denom, ROUND_NOT_NEEDED);
+ q2.canonicalize();
+
+ if (denominator > 0) {
+ Relation_Symbol gr = min_included ? GREATER_OR_EQUAL : GREATER_THAN;
+ Relation_Symbol lr = max_included ? LESS_OR_EQUAL : LESS_THAN;
+ seq_v.build(i_constraint(gr, q1), i_constraint(lr, q2));
+ }
+ else {
+ Relation_Symbol gr = max_included ? GREATER_OR_EQUAL : GREATER_THAN;
+ Relation_Symbol lr = min_included ? LESS_OR_EQUAL : LESS_THAN;
+ seq_v.build(i_constraint(gr, q2), i_constraint(lr, q1));
+ }
+ }
+ else {
+ // The `ub_expr' has a maximum value but the `lb_expr'
+ // has no minimum value for the box.
+ // Set the bounds for `var' using the maximum for `lb_expr'.
+ PPL_DIRTY_TEMP(mpq_class, q);
+ max_denom *= denominator;
+ assign_r(q.get_num(), max_numer, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), max_denom, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ Relation_Symbol rel = (denominator > 0)
+ ? (max_included ? LESS_OR_EQUAL : LESS_THAN)
+ : (max_included ? GREATER_OR_EQUAL : GREATER_THAN);
+ seq_v.build(i_constraint(rel, q));
+ }
+ }
+ else if (minimize(lb_expr, min_numer, min_denom, min_included)) {
+ // The `ub_expr' has no maximum value but the `lb_expr'
+ // has a minimum value for the box.
+ // Set the bounds for `var' using the minimum for `lb_expr'.
+ min_denom *= denominator;
+ PPL_DIRTY_TEMP(mpq_class, q);
+ assign_r(q.get_num(), min_numer, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), min_denom, ROUND_NOT_NEEDED);
+ q.canonicalize();
+
+ Relation_Symbol rel = (denominator > 0)
+ ? (min_included ? GREATER_OR_EQUAL : GREATER_THAN)
+ : (min_included ? LESS_OR_EQUAL : LESS_THAN);
+ seq_v.build(i_constraint(rel, q));
+ }
+ else {
+ // The `ub_expr' has no maximum value and the `lb_expr'
+ // has no minimum value for the box.
+ // So we set the bounds to be unbounded.
+ seq_v.assign(UNIVERSE);
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>
+::bounded_affine_preimage(const Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ const dimension_type space_dim = space_dimension();
+ if (denominator == 0)
+ throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // `var' should be one of the dimensions of the polyhedron.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dim < var_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "v", var);
+ // The dimension of `lb_expr' and `ub_expr' should not be
+ // greater than the dimension of `*this'.
+ const dimension_type lb_space_dim = lb_expr.space_dimension();
+ if (space_dim < lb_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "lb", lb_expr);
+ const dimension_type ub_space_dim = ub_expr.space_dimension();
+ if (space_dim < ub_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "ub", ub_expr);
+
+ // Any preimage of an empty polyhedron is empty.
+ if (marked_empty())
+ return;
+
+ const bool negative_denom = (denominator < 0);
+ const Coefficient& lb_var_coeff = lb_expr.coefficient(var);
+ const Coefficient& ub_var_coeff = ub_expr.coefficient(var);
+
+ // If the implied constraint between `ub_expr and `lb_expr' is
+ // independent of `var', then impose it now.
+ if (lb_var_coeff == ub_var_coeff) {
+ if (negative_denom)
+ refine_with_constraint(lb_expr >= ub_expr);
+ else
+ refine_with_constraint(lb_expr <= ub_expr);
+ }
+
+ ITV& seq_var = seq[var.id()];
+ if (!seq_var.is_universe()) {
+ // We want to work with a positive denominator,
+ // so the sign and its (unsigned) value are separated.
+ PPL_DIRTY_TEMP_COEFFICIENT(pos_denominator);
+ pos_denominator = denominator;
+ if (negative_denom)
+ neg_assign(pos_denominator, pos_denominator);
+ // Store all the information about the upper and lower bounds
+ // for `var' before making this interval unbounded.
+ bool open_lower = seq_var.lower_is_open();
+ bool unbounded_lower = seq_var.lower_is_boundary_infinity();
+ PPL_DIRTY_TEMP(mpq_class, q_seq_var_lower);
+ PPL_DIRTY_TEMP(Coefficient, numer_lower);
+ PPL_DIRTY_TEMP(Coefficient, denom_lower);
+ if (!unbounded_lower) {
+ assign_r(q_seq_var_lower, seq_var.lower(), ROUND_NOT_NEEDED);
+ assign_r(numer_lower, q_seq_var_lower.get_num(), ROUND_NOT_NEEDED);
+ assign_r(denom_lower, q_seq_var_lower.get_den(), ROUND_NOT_NEEDED);
+ if (negative_denom)
+ neg_assign(denom_lower, denom_lower);
+ numer_lower *= pos_denominator;
+ seq_var.lower_extend();
+ }
+ bool open_upper = seq_var.upper_is_open();
+ bool unbounded_upper = seq_var.upper_is_boundary_infinity();
+ PPL_DIRTY_TEMP(mpq_class, q_seq_var_upper);
+ PPL_DIRTY_TEMP(Coefficient, numer_upper);
+ PPL_DIRTY_TEMP(Coefficient, denom_upper);
+ if (!unbounded_upper) {
+ assign_r(q_seq_var_upper, seq_var.upper(), ROUND_NOT_NEEDED);
+ assign_r(numer_upper, q_seq_var_upper.get_num(), ROUND_NOT_NEEDED);
+ assign_r(denom_upper, q_seq_var_upper.get_den(), ROUND_NOT_NEEDED);
+ if (negative_denom)
+ neg_assign(denom_upper, denom_upper);
+ numer_upper *= pos_denominator;
+ seq_var.upper_extend();
+ }
+
+ if (!unbounded_lower) {
+ // `lb_expr' is revised by removing the `var' component,
+ // multiplying by `-' denominator of the lower bound for `var',
+ // and adding the lower bound for `var' to the inhomogeneous term.
+ Linear_Expression revised_lb_expr(ub_expr);
+ revised_lb_expr -= ub_var_coeff * var;
+ PPL_DIRTY_TEMP(Coefficient, d);
+ neg_assign(d, denom_lower);
+ revised_lb_expr *= d;
+ revised_lb_expr += numer_lower;
+
+ // Find the minimum value for the revised lower bound expression
+ // and use this to refine the appropriate bound.
+ bool included;
+ PPL_DIRTY_TEMP(Coefficient, denom);
+ if (minimize(revised_lb_expr, numer_lower, denom, included)) {
+ denom_lower *= (denom * ub_var_coeff);
+ PPL_DIRTY_TEMP(mpq_class, q);
+ assign_r(q.get_num(), numer_lower, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), denom_lower, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ if (!included)
+ open_lower = true;
+ Relation_Symbol rel;
+ if ((ub_var_coeff >= 0) ? !negative_denom : negative_denom)
+ rel = open_lower ? GREATER_THAN : GREATER_OR_EQUAL;
+ else
+ rel = open_lower ? LESS_THAN : LESS_OR_EQUAL;
+ seq_var.add_constraint(i_constraint(rel, q));
+ if (seq_var.is_empty()) {
+ set_empty();
+ return;
+ }
+ }
+ }
+
+ if (!unbounded_upper) {
+ // `ub_expr' is revised by removing the `var' component,
+ // multiplying by `-' denominator of the upper bound for `var',
+ // and adding the upper bound for `var' to the inhomogeneous term.
+ Linear_Expression revised_ub_expr(lb_expr);
+ revised_ub_expr -= lb_var_coeff * var;
+ PPL_DIRTY_TEMP(Coefficient, d);
+ neg_assign(d, denom_upper);
+ revised_ub_expr *= d;
+ revised_ub_expr += numer_upper;
+
+ // Find the maximum value for the revised upper bound expression
+ // and use this to refine the appropriate bound.
+ bool included;
+ PPL_DIRTY_TEMP(Coefficient, denom);
+ if (maximize(revised_ub_expr, numer_upper, denom, included)) {
+ denom_upper *= (denom * lb_var_coeff);
+ PPL_DIRTY_TEMP(mpq_class, q);
+ assign_r(q.get_num(), numer_upper, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), denom_upper, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ if (!included)
+ open_upper = true;
+ Relation_Symbol rel;
+ if ((lb_var_coeff >= 0) ? !negative_denom : negative_denom)
+ rel = open_upper ? LESS_THAN : LESS_OR_EQUAL;
+ else
+ rel = open_upper ? GREATER_THAN : GREATER_OR_EQUAL;
+ seq_var.add_constraint(i_constraint(rel, q));
+ if (seq_var.is_empty()) {
+ set_empty();
+ return;
+ }
+ }
+ }
+ }
+
+ // If the implied constraint between `ub_expr and `lb_expr' is
+ // dependent on `var', then impose on the new box.
+ if (lb_var_coeff != ub_var_coeff) {
+ if (denominator > 0)
+ refine_with_constraint(lb_expr <= ub_expr);
+ else
+ refine_with_constraint(lb_expr >= ub_expr);
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>
+::generalized_affine_image(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ const dimension_type space_dim = space_dimension();
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ if (space_dim < expr.space_dimension())
+ throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
+ "e", expr);
+ // `var' should be one of the dimensions of the box.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dim < var_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
+ "v", var);
+
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)",
+ "r is the disequality relation symbol");
+
+ // First compute the affine image.
+ affine_image(var, expr, denominator);
+
+ if (relsym == EQUAL)
+ // The affine relation is indeed an affine function.
+ return;
+
+ // Any image of an empty box is empty.
+ if (is_empty())
+ return;
+
+ ITV& seq_var = seq[var.id()];
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ seq_var.lower_extend();
+ break;
+ case LESS_THAN:
+ seq_var.lower_extend();
+ if (!seq_var.upper_is_boundary_infinity())
+ seq_var.remove_sup();
+ break;
+ case GREATER_OR_EQUAL:
+ seq_var.upper_extend();
+ break;
+ case GREATER_THAN:
+ seq_var.upper_extend();
+ if (!seq_var.lower_is_boundary_infinity())
+ seq_var.remove_inf();
+ break;
+ default:
+ // The EQUAL and NOT_EQUAL cases have been already dealt with.
+ PPL_UNREACHABLE;
+ break;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>
+::generalized_affine_preimage(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator)
+{
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "d == 0");
+
+ // Dimension-compatibility checks.
+ const dimension_type space_dim = space_dimension();
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ if (space_dim < expr.space_dimension())
+ throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
+ "e", expr);
+ // `var' should be one of the dimensions of the box.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dim < var_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
+ "v", var);
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "r is the disequality relation symbol");
+
+ // Check whether the affine relation is indeed an affine function.
+ if (relsym == EQUAL) {
+ affine_preimage(var, expr, denominator);
+ return;
+ }
+
+ // Compute the reversed relation symbol to simplify later coding.
+ Relation_Symbol reversed_relsym;
+ switch (relsym) {
+ case LESS_THAN:
+ reversed_relsym = GREATER_THAN;
+ break;
+ case LESS_OR_EQUAL:
+ reversed_relsym = GREATER_OR_EQUAL;
+ break;
+ case GREATER_OR_EQUAL:
+ reversed_relsym = LESS_OR_EQUAL;
+ break;
+ case GREATER_THAN:
+ reversed_relsym = LESS_THAN;
+ break;
+ default:
+ // The EQUAL and NOT_EQUAL cases have been already dealt with.
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ // Check whether the preimage of this affine relation can be easily
+ // computed as the image of its inverse relation.
+ const Coefficient& var_coefficient = expr.coefficient(var);
+ if (var_coefficient != 0) {
+ Linear_Expression inverse_expr
+ = expr - (denominator + var_coefficient) * var;
+ PPL_DIRTY_TEMP_COEFFICIENT(inverse_denominator);
+ neg_assign(inverse_denominator, var_coefficient);
+ Relation_Symbol inverse_relsym
+ = (sgn(denominator) == sgn(inverse_denominator))
+ ? relsym
+ : reversed_relsym;
+ generalized_affine_image(var, inverse_relsym, inverse_expr,
+ inverse_denominator);
+ return;
+ }
+
+ // Here `var_coefficient == 0', so that the preimage cannot
+ // be easily computed by inverting the affine relation.
+ // Shrink the box by adding the constraint induced
+ // by the affine relation.
+ // First, compute the maximum and minimum value reached by
+ // `denominator*var' on the box as we need to use non-relational
+ // expressions.
+ PPL_DIRTY_TEMP(Coefficient, max_numer);
+ PPL_DIRTY_TEMP(Coefficient, max_denom);
+ bool max_included;
+ bool bound_above = maximize(denominator*var, max_numer, max_denom, max_included);
+ PPL_DIRTY_TEMP(Coefficient, min_numer);
+ PPL_DIRTY_TEMP(Coefficient, min_denom);
+ bool min_included;
+ bool bound_below = minimize(denominator*var, min_numer, min_denom, min_included);
+ // Use the correct relation symbol
+ const Relation_Symbol corrected_relsym
+ = (denominator > 0) ? relsym : reversed_relsym;
+ // Revise the expression to take into account the denominator of the
+ // maximum/minimum value for `var'.
+ Linear_Expression revised_expr;
+ PPL_DIRTY_TEMP_COEFFICIENT(d);
+ if (corrected_relsym == LESS_THAN || corrected_relsym == LESS_OR_EQUAL) {
+ if (bound_below) {
+ revised_expr = expr;
+ revised_expr.set_inhomogeneous_term(Coefficient_zero());
+ revised_expr *= d;
+ }
+ }
+ else {
+ if (bound_above) {
+ revised_expr = expr;
+ revised_expr.set_inhomogeneous_term(Coefficient_zero());
+ revised_expr *= max_denom;
+ }
+ }
+
+ switch (corrected_relsym) {
+ case LESS_THAN:
+ if (bound_below)
+ refine_with_constraint(min_numer < revised_expr);
+ break;
+ case LESS_OR_EQUAL:
+ if (bound_below)
+ (min_included)
+ ? refine_with_constraint(min_numer <= revised_expr)
+ : refine_with_constraint(min_numer < revised_expr);
+ break;
+ case GREATER_OR_EQUAL:
+ if (bound_above)
+ (max_included)
+ ? refine_with_constraint(max_numer >= revised_expr)
+ : refine_with_constraint(max_numer > revised_expr);
+ break;
+ case GREATER_THAN:
+ if (bound_above)
+ refine_with_constraint(max_numer > revised_expr);
+ break;
+ default:
+ // The EQUAL and NOT_EQUAL cases have been already dealt with.
+ PPL_UNREACHABLE;
+ break;
+ }
+ // If the shrunk box is empty, its preimage is empty too.
+ if (is_empty())
+ return;
+ ITV& seq_v = seq[var.id()];
+ seq_v.assign(UNIVERSE);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>
+::generalized_affine_image(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ // Dimension-compatibility checks.
+ // The dimension of `lhs' should not be greater than the dimension
+ // of `*this'.
+ dimension_type lhs_space_dim = lhs.space_dimension();
+ const dimension_type space_dim = space_dimension();
+ if (space_dim < lhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e1", lhs);
+ // The dimension of `rhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type rhs_space_dim = rhs.space_dimension();
+ if (space_dim < rhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e2", rhs);
+
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(e1, r, e2)",
+ "r is the disequality relation symbol");
+
+ // Any image of an empty box is empty.
+ if (marked_empty())
+ return;
+
+ // Compute the maximum and minimum value reached by the rhs on the box.
+ PPL_DIRTY_TEMP(Coefficient, max_numer);
+ PPL_DIRTY_TEMP(Coefficient, max_denom);
+ bool max_included;
+ bool max_rhs = maximize(rhs, max_numer, max_denom, max_included);
+ PPL_DIRTY_TEMP(Coefficient, min_numer);
+ PPL_DIRTY_TEMP(Coefficient, min_denom);
+ bool min_included;
+ bool min_rhs = minimize(rhs, min_numer, min_denom, min_included);
+
+ // Check whether there is 0, 1 or more than one variable in the lhs
+ // and record the variable with the highest dimension; set the box
+ // intervals to be unbounded for all other dimensions with non-zero
+ // coefficients in the lhs.
+ bool has_var = false;
+ dimension_type has_var_id = lhs.last_nonzero();
+
+ if (has_var_id != 0) {
+ has_var = true;
+ --has_var_id;
+ dimension_type other_var = lhs.first_nonzero(1, has_var_id + 1);
+ --other_var;
+ if (other_var != has_var_id) {
+ // There is more than one dimension with non-zero coefficient, so
+ // we cannot have any information about the dimensions in the lhs.
+ ITV& seq_var = seq[has_var_id];
+ seq_var.assign(UNIVERSE);
+ // Since all but the highest dimension with non-zero coefficient
+ // in the lhs have been set unbounded, it remains to set the
+ // highest dimension in the lhs unbounded.
+ ITV& seq_i = seq[other_var];
+ seq_i.assign(UNIVERSE);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ if (has_var) {
+ // There is exactly one dimension with non-zero coefficient.
+ ITV& seq_var = seq[has_var_id];
+
+ // Compute the new bounds for this dimension defined by the rhs
+ // expression.
+ const Coefficient& inhomo = lhs.inhomogeneous_term();
+ const Coefficient& coeff = lhs.coefficient(Variable(has_var_id));
+ PPL_DIRTY_TEMP(mpq_class, q_max);
+ PPL_DIRTY_TEMP(mpq_class, q_min);
+ if (max_rhs) {
+ max_numer -= inhomo * max_denom;
+ max_denom *= coeff;
+ assign_r(q_max.get_num(), max_numer, ROUND_NOT_NEEDED);
+ assign_r(q_max.get_den(), max_denom, ROUND_NOT_NEEDED);
+ q_max.canonicalize();
+ }
+ if (min_rhs) {
+ min_numer -= inhomo * min_denom;
+ min_denom *= coeff;
+ assign_r(q_min.get_num(), min_numer, ROUND_NOT_NEEDED);
+ assign_r(q_min.get_den(), min_denom, ROUND_NOT_NEEDED);
+ q_min.canonicalize();
+ }
+
+ // The choice as to which bounds should be set depends on the sign
+ // of the coefficient of the dimension `has_var_id' in the lhs.
+ if (coeff > 0)
+ // The coefficient of the dimension in the lhs is positive.
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ if (max_rhs) {
+ Relation_Symbol rel = max_included ? LESS_OR_EQUAL : LESS_THAN;
+ seq_var.build(i_constraint(rel, q_max));
+ }
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ case LESS_THAN:
+ if (max_rhs)
+ seq_var.build(i_constraint(LESS_THAN, q_max));
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ case EQUAL:
+ {
+ I_Constraint<mpq_class> l;
+ I_Constraint<mpq_class> u;
+ if (max_rhs)
+ u.set(max_included ? LESS_OR_EQUAL : LESS_THAN, q_max);
+ if (min_rhs)
+ l.set(min_included ? GREATER_OR_EQUAL : GREATER_THAN, q_min);
+ seq_var.build(l, u);
+ break;
+ }
+ case GREATER_OR_EQUAL:
+ if (min_rhs) {
+ Relation_Symbol rel = min_included ? GREATER_OR_EQUAL : GREATER_THAN;
+ seq_var.build(i_constraint(rel, q_min));
+ }
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ case GREATER_THAN:
+ if (min_rhs)
+ seq_var.build(i_constraint(GREATER_THAN, q_min));
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ default:
+ // The NOT_EQUAL case has been already dealt with.
+ PPL_UNREACHABLE;
+ break;
+ }
+ else
+ // The coefficient of the dimension in the lhs is negative.
+ switch (relsym) {
+ case GREATER_OR_EQUAL:
+ if (min_rhs) {
+ Relation_Symbol rel = min_included ? LESS_OR_EQUAL : LESS_THAN;
+ seq_var.build(i_constraint(rel, q_min));
+ }
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ case GREATER_THAN:
+ if (min_rhs)
+ seq_var.build(i_constraint(LESS_THAN, q_min));
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ case EQUAL:
+ {
+ I_Constraint<mpq_class> l;
+ I_Constraint<mpq_class> u;
+ if (max_rhs)
+ l.set(max_included ? GREATER_OR_EQUAL : GREATER_THAN, q_max);
+ if (min_rhs)
+ u.set(min_included ? LESS_OR_EQUAL : LESS_THAN, q_min);
+ seq_var.build(l, u);
+ break;
+ }
+ case LESS_OR_EQUAL:
+ if (max_rhs) {
+ Relation_Symbol rel = max_included ? GREATER_OR_EQUAL : GREATER_THAN;
+ seq_var.build(i_constraint(rel, q_max));
+ }
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ case LESS_THAN:
+ if (max_rhs)
+ seq_var.build(i_constraint(GREATER_THAN, q_max));
+ else
+ seq_var.assign(UNIVERSE);
+ break;
+ default:
+ // The NOT_EQUAL case has been already dealt with.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+
+ else {
+ // The lhs is a constant value, so we just need to add the
+ // appropriate constraint.
+ const Coefficient& inhomo = lhs.inhomogeneous_term();
+ switch (relsym) {
+ case LESS_THAN:
+ refine_with_constraint(inhomo < rhs);
+ break;
+ case LESS_OR_EQUAL:
+ refine_with_constraint(inhomo <= rhs);
+ break;
+ case EQUAL:
+ refine_with_constraint(inhomo == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_with_constraint(inhomo >= rhs);
+ break;
+ case GREATER_THAN:
+ refine_with_constraint(inhomo > rhs);
+ break;
+ default:
+ // The NOT_EQUAL case has been already dealt with.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+void
+Box<ITV>::generalized_affine_preimage(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ // Dimension-compatibility checks.
+ // The dimension of `lhs' should not be greater than the dimension
+ // of `*this'.
+ dimension_type lhs_space_dim = lhs.space_dimension();
+ const dimension_type space_dim = space_dimension();
+ if (space_dim < lhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e1", lhs);
+ // The dimension of `rhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type rhs_space_dim = rhs.space_dimension();
+ if (space_dim < rhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e2", rhs);
+
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(e1, r, e2)",
+ "r is the disequality relation symbol");
+
+ // Any image of an empty box is empty.
+ if (marked_empty())
+ return;
+
+ // For any dimension occurring in the lhs, swap and change the sign
+ // of this component for the rhs and lhs. Then use these in a call
+ // to generalized_affine_image/3.
+ Linear_Expression revised_lhs = lhs;
+ Linear_Expression revised_rhs = rhs;
+ for (Linear_Expression::const_iterator i = lhs.begin(),
+ i_end = lhs.end(); i != i_end; ++i) {
+ const Variable var = i.variable();
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+ tmp = *i;
+ tmp += rhs.coefficient(var);
+ sub_mul_assign(revised_rhs, tmp, var);
+ sub_mul_assign(revised_lhs, tmp, var);
+ }
+ generalized_affine_image(revised_lhs, relsym, revised_rhs);
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+template <typename T, typename Iterator>
+typename Enable_If<Is_Same<T, Box<ITV> >::value
+ && Is_Same_Or_Derived<Interval_Base, ITV>::value,
+ void>::type
+Box<ITV>::CC76_widening_assign(const T& y, Iterator first, Iterator last) {
+ if (y.is_empty())
+ return;
+
+ for (dimension_type i = seq.size(); i-- > 0; )
+ seq[i].CC76_widening_assign(y.seq[i], first, last);
+
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+template <typename T>
+typename Enable_If<Is_Same<T, Box<ITV> >::value
+ && Is_Same_Or_Derived<Interval_Base, ITV>::value,
+ void>::type
+Box<ITV>::CC76_widening_assign(const T& y, unsigned* tp) {
+ static typename ITV::boundary_type stop_points[] = {
+ typename ITV::boundary_type(-2),
+ typename ITV::boundary_type(-1),
+ typename ITV::boundary_type(0),
+ typename ITV::boundary_type(1),
+ typename ITV::boundary_type(2)
+ };
+
+ Box& x = *this;
+ // If there are tokens available, work on a temporary copy.
+ if (tp != 0 && *tp > 0) {
+ Box<ITV> x_tmp(x);
+ x_tmp.CC76_widening_assign(y, 0);
+ // If the widening was not precise, use one of the available tokens.
+ if (!x.contains(x_tmp))
+ --(*tp);
+ return;
+ }
+ x.CC76_widening_assign(y,
+ stop_points,
+ stop_points
+ + sizeof(stop_points)/sizeof(stop_points[0]));
+}
+
+template <typename ITV>
+void
+Box<ITV>::get_limiting_box(const Constraint_System& cs,
+ Box& limiting_box) const {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(cs.space_dimension() <= space_dimension());
+
+ for (Constraint_System::const_iterator cs_i = cs.begin(),
+ cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
+ const Constraint& c = *cs_i;
+ dimension_type c_num_vars = 0;
+ dimension_type c_only_var = 0;
+ // Constraints that are not interval constraints are ignored.
+ if (!Box_Helpers::extract_interval_constraint(c, c_num_vars, c_only_var))
+ continue;
+ // Trivial constraints are ignored.
+ if (c_num_vars != 0) {
+ // c is a non-trivial interval constraint.
+ // add interval constraint to limiting box
+ const Coefficient& n = c.inhomogeneous_term();
+ const Coefficient& d = c.coefficient(Variable(c_only_var));
+ if (interval_relation(seq[c_only_var], c.type(), n, d)
+ == Poly_Con_Relation::is_included())
+ limiting_box.add_interval_constraint_no_check(c_only_var, c.type(),
+ n, d);
+ }
+ }
+}
+
+template <typename ITV>
+void
+Box<ITV>::limited_CC76_extrapolation_assign(const Box& y,
+ const Constraint_System& cs,
+ unsigned* tp) {
+ Box& x = *this;
+ const dimension_type space_dim = x.space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("limited_CC76_extrapolation_assign(y, cs)",
+ y);
+ // `cs' must be dimension-compatible with the two boxes.
+ const dimension_type cs_space_dim = cs.space_dimension();
+ if (space_dim < cs_space_dim)
+ throw_constraint_incompatible("limited_CC76_extrapolation_assign(y, cs)");
+
+ // The limited CC76-extrapolation between two boxes in a
+ // zero-dimensional space is also a zero-dimensional box
+ if (space_dim == 0)
+ return;
+
+ // Assume `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ // Build a limiting box using all the constraints in cs
+ // that are satisfied by *this.
+ Box limiting_box(space_dim, UNIVERSE);
+ get_limiting_box(cs, limiting_box);
+
+ x.CC76_widening_assign(y, tp);
+
+ // Intersect the widened box with the limiting box.
+ intersection_assign(limiting_box);
+}
+
+template <typename ITV>
+template <typename T>
+typename Enable_If<Is_Same<T, Box<ITV> >::value
+ && Is_Same_Or_Derived<Interval_Base, ITV>::value,
+ void>::type
+Box<ITV>::CC76_narrowing_assign(const T& y) {
+ const dimension_type space_dim = space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dimension())
+ throw_dimension_incompatible("CC76_narrowing_assign(y)", y);
+
+ // Assume `*this' is contained in or equal to `y'.
+ PPL_EXPECT_HEAVY(copy_contains(y, *this));
+
+ // If both boxes are zero-dimensional,
+ // since `y' contains `*this', we simply return `*this'.
+ if (space_dim == 0)
+ return;
+
+ // If `y' is empty, since `y' contains `this', `*this' is empty too.
+ if (y.is_empty())
+ return;
+ // If `*this' is empty, we return.
+ if (is_empty())
+ return;
+
+ // Replace each constraint in `*this' by the corresponding constraint
+ // in `y' if the corresponding inhomogeneous terms are both finite.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ ITV& x_i = seq[i];
+ const ITV& y_i = y.seq[i];
+ if (!x_i.lower_is_boundary_infinity()
+ && !y_i.lower_is_boundary_infinity()
+ && x_i.lower() != y_i.lower())
+ x_i.lower() = y_i.lower();
+ if (!x_i.upper_is_boundary_infinity()
+ && !y_i.upper_is_boundary_infinity()
+ && x_i.upper() != y_i.upper())
+ x_i.upper() = y_i.upper();
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename ITV>
+Constraint_System
+Box<ITV>::constraints() const {
+ const dimension_type space_dim = space_dimension();
+ Constraint_System cs;
+ cs.set_space_dimension(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cs = Constraint_System::zero_dim_empty();
+ return cs;
+ }
+
+ if (marked_empty()) {
+ cs.insert(Constraint::zero_dim_false());
+ return cs;
+ }
+
+ for (dimension_type k = 0; k < space_dim; ++k) {
+ const Variable v_k = Variable(k);
+ PPL_DIRTY_TEMP(Coefficient, n);
+ PPL_DIRTY_TEMP(Coefficient, d);
+ bool closed = false;
+ if (has_lower_bound(v_k, n, d, closed)) {
+ if (closed)
+ cs.insert(d * v_k >= n);
+ else
+ cs.insert(d * v_k > n);
+ }
+ if (has_upper_bound(v_k, n, d, closed)) {
+ if (closed)
+ cs.insert(d * v_k <= n);
+ else
+ cs.insert(d * v_k < n);
+ }
+ }
+ return cs;
+}
+
+template <typename ITV>
+Constraint_System
+Box<ITV>::minimized_constraints() const {
+ const dimension_type space_dim = space_dimension();
+ Constraint_System cs;
+ cs.set_space_dimension(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cs = Constraint_System::zero_dim_empty();
+ return cs;
+ }
+
+ // Make sure emptiness is detected.
+ if (is_empty()) {
+ cs.insert(Constraint::zero_dim_false());
+ return cs;
+ }
+
+ for (dimension_type k = 0; k < space_dim; ++k) {
+ const Variable v_k = Variable(k);
+ PPL_DIRTY_TEMP(Coefficient, n);
+ PPL_DIRTY_TEMP(Coefficient, d);
+ bool closed = false;
+ if (has_lower_bound(v_k, n, d, closed)) {
+ if (closed)
+ // Make sure equality constraints are detected.
+ if (seq[k].is_singleton()) {
+ cs.insert(d * v_k == n);
+ continue;
+ }
+ else
+ cs.insert(d * v_k >= n);
+ else
+ cs.insert(d * v_k > n);
+ }
+ if (has_upper_bound(v_k, n, d, closed)) {
+ if (closed)
+ cs.insert(d * v_k <= n);
+ else
+ cs.insert(d * v_k < n);
+ }
+ }
+ return cs;
+}
+
+template <typename ITV>
+Congruence_System
+Box<ITV>::congruences() const {
+ const dimension_type space_dim = space_dimension();
+ Congruence_System cgs(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cgs = Congruence_System::zero_dim_empty();
+ return cgs;
+ }
+
+ // Make sure emptiness is detected.
+ if (is_empty()) {
+ cgs.insert(Congruence::zero_dim_false());
+ return cgs;
+ }
+
+ for (dimension_type k = 0; k < space_dim; ++k) {
+ const Variable v_k = Variable(k);
+ PPL_DIRTY_TEMP(Coefficient, n);
+ PPL_DIRTY_TEMP(Coefficient, d);
+ bool closed = false;
+ if (has_lower_bound(v_k, n, d, closed) && closed)
+ // Make sure equality congruences are detected.
+ if (seq[k].is_singleton())
+ cgs.insert((d * v_k %= n) / 0);
+ }
+ return cgs;
+}
+
+template <typename ITV>
+memory_size_type
+Box<ITV>::external_memory_in_bytes() const {
+ memory_size_type n = seq.capacity() * sizeof(ITV);
+ for (dimension_type k = seq.size(); k-- > 0; )
+ n += seq[k].external_memory_in_bytes();
+ return n;
+}
+
+/*! \relates Parma_Polyhedra_Library::Box */
+template <typename ITV>
+std::ostream&
+IO_Operators::operator<<(std::ostream& s, const Box<ITV>& box) {
+ if (box.is_empty())
+ s << "false";
+ else if (box.is_universe())
+ s << "true";
+ else
+ for (dimension_type k = 0,
+ space_dim = box.space_dimension(); k < space_dim; ) {
+ s << Variable(k) << " in " << box[k];
+ ++k;
+ if (k < space_dim)
+ s << ", ";
+ else
+ break;
+ }
+ return s;
+}
+
+template <typename ITV>
+void
+Box<ITV>::ascii_dump(std::ostream& s) const {
+ const char separator = ' ';
+ status.ascii_dump(s);
+ const dimension_type space_dim = space_dimension();
+ s << "space_dim" << separator << space_dim;
+ s << "\n";
+ for (dimension_type i = 0; i < space_dim; ++i)
+ seq[i].ascii_dump(s);
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(ITV, Box<ITV>)
+
+template <typename ITV>
+bool
+Box<ITV>::ascii_load(std::istream& s) {
+ if (!status.ascii_load(s))
+ return false;
+
+ std::string str;
+ dimension_type space_dim;
+ if (!(s >> str) || str != "space_dim")
+ return false;
+ if (!(s >> space_dim))
+ return false;
+
+ seq.clear();
+ ITV seq_i;
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ if (seq_i.ascii_load(s))
+ seq.push_back(seq_i);
+ else
+ return false;
+ }
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const Box& y) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << this->space_dimension()
+ << ", y->space_dimension() == " << y.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>
+::throw_dimension_incompatible(const char* method,
+ dimension_type required_dim) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", required dimension == " << required_dim << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const Constraint& c) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", c->space_dimension == " << c.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const Congruence& cg) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", cg->space_dimension == " << cg.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const Constraint_System& cs) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", cs->space_dimension == " << cs.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const Congruence_System& cgs) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", cgs->space_dimension == " << cgs.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const Generator& g) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", g->space_dimension == " << g.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_constraint_incompatible(const char* method) {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "the constraint is incompatible.";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_expression_too_complex(const char* method,
+ const Linear_Expression& le) {
+ using namespace IO_Operators;
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << le << " is too complex.";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << "this->space_dimension() == " << space_dimension()
+ << ", " << le_name << "->space_dimension() == "
+ << le.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+template <typename C>
+void
+Box<ITV>::throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<C>& lf) const {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", " << lf_name << "->space_dimension() == "
+ << lf.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename ITV>
+void
+Box<ITV>::throw_invalid_argument(const char* method, const char* reason) {
+ std::ostringstream s;
+ s << "PPL::Box::" << method << ":" << std::endl
+ << reason;
+ throw std::invalid_argument(s.str());
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Box */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Specialization,
+ typename Temp, typename To, typename ITV>
+bool
+l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Box<ITV>& x, const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2) {
+ const dimension_type x_space_dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ // Zero-dim boxes are equal if and only if they are both empty or universe.
+ if (x_space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires a check for emptiness.
+ (void) x.is_empty();
+ (void) y.is_empty();
+ // If one of two boxes is empty, then they are equal if and only if
+ // the other box is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty()) {
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ return true;
+ }
+ else
+ goto pinf;
+ }
+
+ assign_r(tmp0, 0, ROUND_NOT_NEEDED);
+ for (dimension_type i = x_space_dim; i-- > 0; ) {
+ const ITV& x_i = x.seq[i];
+ const ITV& y_i = y.seq[i];
+ // Dealing with the lower bounds.
+ if (x_i.lower_is_boundary_infinity()) {
+ if (!y_i.lower_is_boundary_infinity())
+ goto pinf;
+ }
+ else if (y_i.lower_is_boundary_infinity())
+ goto pinf;
+ else {
+ const Temp* tmp1p;
+ const Temp* tmp2p;
+ if (x_i.lower() > y_i.lower()) {
+ maybe_assign(tmp1p, tmp1, x_i.lower(), dir);
+ maybe_assign(tmp2p, tmp2, y_i.lower(), inverse(dir));
+ }
+ else {
+ maybe_assign(tmp1p, tmp1, y_i.lower(), dir);
+ maybe_assign(tmp2p, tmp2, x_i.lower(), inverse(dir));
+ }
+ sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
+ PPL_ASSERT(sgn(tmp1) >= 0);
+ Specialization::combine(tmp0, tmp1, dir);
+ }
+ // Dealing with the lower bounds.
+ if (x_i.upper_is_boundary_infinity())
+ if (y_i.upper_is_boundary_infinity())
+ continue;
+ else
+ goto pinf;
+ else if (y_i.upper_is_boundary_infinity())
+ goto pinf;
+ else {
+ const Temp* tmp1p;
+ const Temp* tmp2p;
+ if (x_i.upper() > y_i.upper()) {
+ maybe_assign(tmp1p, tmp1, x_i.upper(), dir);
+ maybe_assign(tmp2p, tmp2, y_i.upper(), inverse(dir));
+ }
+ else {
+ maybe_assign(tmp1p, tmp1, y_i.upper(), dir);
+ maybe_assign(tmp2p, tmp2, x_i.upper(), inverse(dir));
+ }
+ sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
+ PPL_ASSERT(sgn(tmp1) >= 0);
+ Specialization::combine(tmp0, tmp1, dir);
+ }
+ }
+ Specialization::finalize(tmp0, dir);
+ assign_r(r, tmp0, dir);
+ return true;
+
+ pinf:
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Box_templates_hh)
diff --git a/src/Box_types.hh b/src/Box_types.hh
new file mode 100644
index 0000000..3383e02
--- /dev/null
+++ b/src/Box_types.hh
@@ -0,0 +1,25 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Box_types_hh
+#define PPL_Box_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Interval>
+class Box;
+
+class Box_Helpers;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Box_types_hh)
diff --git a/src/CO_Tree.cc b/src/CO_Tree.cc
index 1f57df3..a7e5ecd 100644
--- a/src/CO_Tree.cc
+++ b/src/CO_Tree.cc
@@ -1,6 +1,6 @@
/* CO_Tree class implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "CO_Tree.defs.hh"
+#include "CO_Tree_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -63,7 +63,8 @@ PPL::CO_Tree::insert(iterator itr, dimension_type key1) {
--candidate2_index;
while (indexes[candidate2_index] == unused_index)
--candidate2_index;
- } else {
+ }
+ else {
++candidate2_index;
while (indexes[candidate2_index] == unused_index)
++candidate2_index;
@@ -91,7 +92,8 @@ PPL::CO_Tree::insert(iterator itr, dimension_type key1) {
// candidate1_node.
return iterator(insert_precise(key1, Coefficient_zero(),
candidate1_node));
- } else {
+ }
+ else {
PPL_ASSERT(candidate1_node.depth() < candidate2_node.depth());
// candidate2_node is deeper in the tree than candidate1_node, so use
// candidate2_node.
@@ -126,7 +128,8 @@ PPL::CO_Tree::insert(iterator itr, dimension_type key1,
--candidate2_index;
while (indexes[candidate2_index] == unused_index)
--candidate2_index;
- } else {
+ }
+ else {
++candidate2_index;
while (indexes[candidate2_index] == unused_index)
++candidate2_index;
@@ -150,7 +153,8 @@ PPL::CO_Tree::insert(iterator itr, dimension_type key1,
// candidate1_node is deeper in the tree than candidate2_node, so
// use candidate1_node.
return iterator(insert_precise(key1, data1, candidate1_node));
- } else {
+ }
+ else {
PPL_ASSERT(candidate1_node.depth() < candidate2_node.depth());
// candidate2_node is deeper in the tree than candidate1_node, so
// use candidate2_node.
@@ -163,9 +167,9 @@ PPL::CO_Tree::erase_element_and_shift_left(dimension_type key) {
iterator itr = erase(key);
if (itr == end())
return;
- dimension_type i = dfs_index(itr);
+ const dimension_type i = dfs_index(itr);
dimension_type* p = indexes + i;
- dimension_type* p_end = indexes + (reserved_size + 1);
+ const dimension_type* const p_end = indexes + (reserved_size + 1);
for ( ; p != p_end; ++p)
if (*p != unused_index)
--(*p);
@@ -214,7 +218,8 @@ PPL::CO_Tree::bisect_in(dimension_type first, dimension_type last,
last = half;
- } else {
+ }
+ else {
++new_half;
while (indexes[new_half] == unused_index)
@@ -259,7 +264,8 @@ PPL::CO_Tree::bisect_near(dimension_type hint, dimension_type key) const {
// The searched element is in (hint,new_hint) and both indexes point
// to valid elements.
break;
- } else
+ }
+ else
new_hint = hint - offset;
PPL_ASSERT(new_hint > 0);
@@ -286,7 +292,8 @@ PPL::CO_Tree::bisect_near(dimension_type hint, dimension_type key) const {
offset *= 2;
}
- } else {
+ }
+ else {
// The searched element is after `hint'.
while (true) {
@@ -301,7 +308,8 @@ PPL::CO_Tree::bisect_near(dimension_type hint, dimension_type key) const {
// The searched element is in (hint,new_hint) and both indexes point
// to valid elements.
break;
- } else
+ }
+ else
new_hint = hint + offset;
PPL_ASSERT(new_hint > 0);
@@ -357,54 +365,69 @@ PPL::CO_Tree::insert_precise(dimension_type key1,
PPL_ASSERT(!empty());
#ifndef NDEBUG
+ // Check that `itr' is a correct hint.
tree_iterator itr2(*this);
itr2.go_down_searching_key(key1);
PPL_ASSERT(itr == itr2);
#endif
if (itr.index() == key1) {
+ // Replacement, rather than insertion.
*itr = data1;
PPL_ASSERT(OK());
return itr;
}
- if (data <= &data1 && &data1 < data + (reserved_size + 1)) {
- // data1 is a coefficient of this row.
- // Avoid invalidating it.
- data_type x = data1;
+ // Proper insertion: check if it would invalidate `data1'.
+ const bool invalidating
+ = (data <= &data1) && (&data1 < data + (reserved_size + 1));
+
+ if (!invalidating)
+ return insert_precise_aux(key1, data1, itr);
+
+ // `data1' could be invalidated by the insert, because it is
+ // a coefficient of this row. Avoid the issue by copying it.
+ data_type data1_copy = data1;
#ifndef NDEBUG
- dimension_type i = &data1 - data;
- dimension_type key2 = indexes[i];
- PPL_ASSERT(key2 != unused_index);
- // This is true since key1 is not in the tree.
- PPL_ASSERT(key2 != key1);
+ dimension_type i = &data1 - data;
+ dimension_type key2 = indexes[i];
+ PPL_ASSERT(key2 != unused_index);
+ // This is true since `key1' is not in the tree.
+ PPL_ASSERT(key2 != key1);
#endif
- // Insert a dummy coefficient.
- // NOTE: This may invalidate data1, because it may reallocate the tree
- // and/or move coefficients during rebalancing).
- itr = insert_precise(key1, Coefficient_zero(), itr);
+ // Insert a dummy coefficient.
+ // NOTE: this may invalidate `data1', because it may reallocate the tree
+ // and/or move coefficients during rebalancing.
+ itr = insert_precise_aux(key1, Coefficient_zero(), itr);
- PPL_ASSERT(itr.index() == key1);
+ PPL_ASSERT(itr.index() == key1);
- using std::swap;
+ // Swap the correct coefficient in place.
+ using std::swap;
+ swap(*itr, data1_copy);
- // Swap the correct coefficient in place.
- swap(*itr, x);
+ PPL_ASSERT(OK());
+ return itr;
+}
- PPL_ASSERT(OK());
- return itr;
- }
+PPL::CO_Tree::tree_iterator
+PPL::CO_Tree::insert_precise_aux(dimension_type key1,
+ data_type_const_reference data1,
+ tree_iterator itr) {
+ PPL_ASSERT(key1 != unused_index);
+ PPL_ASSERT(!empty());
+ // This is a proper insert.
+ PPL_ASSERT(itr.index() != key1);
+ // `data1' is not going to be invalidated.
+ PPL_ASSERT(!(data <= &data1 && &data1 < data + (reserved_size + 1)));
if (is_greater_than_ratio(size_ + 1, reserved_size, max_density_percent)) {
-
rebuild_bigger_tree();
-
- // itr was invalidated by the rebuild operation
+ // `itr' was invalidated by the rebuild operation
itr.get_root();
itr.go_down_searching_key(key1);
-
PPL_ASSERT(itr.index() != key1);
}
@@ -423,13 +446,10 @@ PPL::CO_Tree::insert_precise(dimension_type key1,
new (&(*itr)) data_type(data1);
// Set the index only if the construction was successful.
itr.index() = key1;
-
- } else {
-
+ }
+ else {
itr = rebalance(itr, key1, data1);
-
itr.go_down_searching_key(key1);
-
PPL_ASSERT(itr.index() == key1);
}
PPL_ASSERT(OK());
@@ -536,17 +556,16 @@ PPL::CO_Tree::erase(tree_iterator itr) {
}
void
-PPL::CO_Tree::init(dimension_type reserved_size1) {
- if (reserved_size1 == 0) {
- indexes = NULL;
- data = NULL;
- size_ = 0;
- reserved_size = 0;
- max_depth = 0;
- }
- else {
- init(0);
- const dimension_type new_max_depth = integer_log2(reserved_size1) + 1;
+PPL::CO_Tree::init(dimension_type n) {
+ indexes = NULL;
+ data = NULL;
+ size_ = 0;
+ reserved_size = 0;
+ max_depth = 0;
+
+ if (n > 0) {
+ const dimension_type max_d = integer_log2(n) + 1;
+ const height_t new_max_depth = static_cast<height_t>(max_d);
const dimension_type new_reserved_size
= (static_cast<dimension_type>(1) << new_max_depth) - 1;
// If this throws, *this will be the empty tree.
@@ -631,11 +650,12 @@ PPL::CO_Tree::structure_OK() const {
if (itr.index() != unused_index)
return false;
- } else {
+ }
+ else {
// This const_cast could be removed by adding a const_tree_iterator,
// but it would add much code duplication without a real need.
tree_iterator itr(*const_cast<CO_Tree*>(this));
- dimension_type real_size = count_used_in_subtree(itr);
+ const dimension_type real_size = count_used_in_subtree(itr);
if (real_size != size_)
// There are \p real_size elements in the tree that are reachable by the
// root, but size is \p size.
@@ -734,9 +754,9 @@ PPL::CO_Tree::rebuild_bigger_tree() {
return;
}
- dimension_type new_reserved_size = reserved_size*2 + 1;
+ const dimension_type new_reserved_size = reserved_size*2 + 1;
- dimension_type* new_indexes = new dimension_type[new_reserved_size + 2];
+ dimension_type* const new_indexes = new dimension_type[new_reserved_size + 2];
data_type* new_data;
@@ -787,7 +807,7 @@ PPL::CO_Tree::rebalance(tree_iterator itr, dimension_type key,
}
PPL_ASSERT(itr.index() == unused_index || itr.is_leaf());
height_t itr_depth_minus_1 = itr.depth() - 1;
- height_t height = max_depth - itr_depth_minus_1;
+ const height_t height = max_depth - itr_depth_minus_1;
dimension_type subtree_size;
dimension_type subtree_reserved_size = (static_cast<dimension_type>(1)
<< height) - 1;
@@ -813,7 +833,7 @@ PPL::CO_Tree::rebalance(tree_iterator itr, dimension_type key,
// The density in the tree is correct, so the while condition is always
// false for the root.
PPL_ASSERT(itr_depth_minus_1 != 0);
- bool is_right_brother = itr.is_right_child();
+ const bool is_right_brother = itr.is_right_child();
itr.get_parent();
if (is_right_brother)
itr.get_left_child();
@@ -833,10 +853,10 @@ PPL::CO_Tree::rebalance(tree_iterator itr, dimension_type key,
// Step 1: compact elements of this subtree in the rightmost end, from right
// to left.
- dimension_type last_index_in_subtree
+ const dimension_type last_index_in_subtree
= itr.dfs_index() + itr.get_offset() - 1;
- dimension_type first_unused
+ const dimension_type first_unused
= compact_elements_in_the_rightmost_end(last_index_in_subtree,
subtree_size, key, value,
!deleting);
@@ -894,7 +914,8 @@ PPL::CO_Tree
--first_unused_data;
}
break;
- } else {
+ }
+ else {
if (last_index_in_subtree != first_unused_index) {
PPL_ASSERT(first_unused_index != indexes);
PPL_ASSERT(last_index_in_subtree != indexes);
@@ -933,7 +954,7 @@ PPL::CO_Tree
--subtree_size;
}
- ptrdiff_t distance = first_unused_index - indexes;
+ const ptrdiff_t distance = first_unused_index - indexes;
PPL_ASSERT(distance >= 0);
return static_cast<dimension_type>(distance);
}
@@ -990,7 +1011,8 @@ PPL::CO_Tree::redistribute_elements_in_subtree(
new (&(data[top_i])) data_type(value);
// Set the index only if the construction was successful.
indexes[top_i] = key;
- } else {
+ }
+ else {
if (last_used != top_i) {
PPL_ASSERT(indexes[top_i] == unused_index);
indexes[top_i] = indexes[last_used];
@@ -999,7 +1021,8 @@ PPL::CO_Tree::redistribute_elements_in_subtree(
}
++last_used;
}
- } else {
+ }
+ else {
PPL_ASSERT(stack_first_empty + 2
< stack + sizeof(stack)/sizeof(stack[0]));
@@ -1108,7 +1131,8 @@ PPL::CO_Tree::move_data_from(CO_Tree& tree) {
if (top_n == 0) {
--stack_first_empty;
- } else {
+ }
+ else {
if (top_n == 1) {
PPL_ASSERT(root.index() == unused_index);
PPL_ASSERT(tree.indexes[source_index] != unused_index);
@@ -1120,7 +1144,8 @@ PPL::CO_Tree::move_data_from(CO_Tree& tree) {
while (tree.indexes[source_index] == unused_index)
++source_index;
--stack_first_empty;
- } else {
+ }
+ else {
PPL_ASSERT(stack_first_empty + 3 < sizeof(stack)/sizeof(stack[0]));
const dimension_type half = (top_n + 1) / 2;
@@ -1156,7 +1181,8 @@ PPL::CO_Tree::copy_data_from(const CO_Tree& x) {
if (x.indexes[i] != unused_index) {
indexes[i] = x.indexes[i];
new (&(data[i])) data_type(x.data[i]);
- } else {
+ }
+ else {
PPL_ASSERT(indexes[i] == unused_index);
}
} catch (...) {
@@ -1194,7 +1220,8 @@ PPL::CO_Tree::count_used_in_subtree(tree_iterator itr) {
PPL_ASSERT(root_index > (k - 1));
- dimension_type* current_index = &(itr.tree.indexes[root_index - (k - 1)]);
+ const dimension_type* current_index
+ = &(itr.tree.indexes[root_index - (k - 1)]);
for (dimension_type j = 2*k - 1; j > 0; --j, ++current_index)
if (*current_index != unused_index)
@@ -1211,12 +1238,14 @@ PPL::CO_Tree::const_iterator::OK() const {
return false;
if (current_data != 0)
return false;
- } else
+ }
+ else
if (tree->reserved_size == 0) {
if (current_index != 1 + static_cast<dimension_type*>(0)
|| current_data != 1 + static_cast<data_type*>(0))
return false;
- } else {
+ }
+ else {
if (current_index <= &(tree->indexes[0]))
return false;
if (current_index > &(tree->indexes[tree->reserved_size + 1]))
@@ -1242,12 +1271,14 @@ PPL::CO_Tree::iterator::OK() const {
return false;
if (current_data != 0)
return false;
- } else
+ }
+ else
if (tree->reserved_size == 0) {
if (current_index != 1 + static_cast<dimension_type*>(0)
|| current_data != 1 + static_cast<data_type*>(0))
return false;
- } else {
+ }
+ else {
if (current_index <= &(tree->indexes[0]))
return false;
if (current_index > &(tree->indexes[tree->reserved_size + 1]))
@@ -1271,7 +1302,7 @@ PPL::CO_Tree::tree_iterator::OK() const {
return false;
// This assumes two's complement encoding.
- dimension_type correct_offset = i & -i;
+ const dimension_type correct_offset = i & -i;
if (offset != correct_offset)
return false;
@@ -1294,7 +1325,8 @@ PPL::CO_Tree::tree_iterator::go_down_searching_key(dimension_type key) {
get_parent();
break;
}
- } else {
+ }
+ else {
get_right_child();
if (index() == unused_index) {
get_parent();
diff --git a/src/CO_Tree.defs.hh b/src/CO_Tree.defs.hh
deleted file mode 100644
index d02b467..0000000
--- a/src/CO_Tree.defs.hh
+++ /dev/null
@@ -1,1548 +0,0 @@
-/* CO_Tree class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_CO_Tree_defs_hh
-#define PPL_CO_Tree_defs_hh 1
-
-#include "CO_Tree.types.hh"
-
-#include "Coefficient.defs.hh"
-#include <memory>
-
-#ifndef PPL_CO_TREE_EXTRA_DEBUG
-#ifdef PPL_ABI_BREAKING_EXTRA_DEBUG
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*!
- \brief
- Enables extra debugging information for class CO_Tree.
-
- \ingroup PPL_CXX_interface
- When <CODE>PPL_CO_TREE_EXTRA_DEBUG</CODE> evaluates to <CODE>true</CODE>,
- each CO_Tree iterator and const_iterator carries a pointer to the associated
- tree; this enables extra consistency checks to be performed.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define PPL_CO_TREE_EXTRA_DEBUG 1
-#else // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
-#define PPL_CO_TREE_EXTRA_DEBUG 0
-#endif // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
-#endif // !defined(PPL_CO_TREE_EXTRA_DEBUG)
-
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A cache-oblivious binary search tree of pairs.
-/*! \ingroup PPL_CXX_interface
- This class implements a binary search tree with keys of dimension_type type
- and data of Coefficient type, laid out in a dynamically-sized array.
-
- The array-based layout saves calls to new/delete (to insert \f$n\f$ elements
- only \f$O(\log n)\f$ allocations are performed) and, more importantly, is
- much more cache-friendly than a standard (pointer-based) tree, because the
- elements are stored sequentially in memory (leaving some holes to allow
- fast insertion of new elements).
- The downside of this representation is that all iterators are invalidated
- when an element is added or removed, because the array could have been
- enlarged or shrunk. This is partially addressed by providing references to
- internal end iterators that are updated when needed.
-
- B-trees are cache-friendly too, but the cache size is fixed (usually at
- compile-time). This raises two problems: firstly the cache size must be
- known in advance and those data structures do not perform well with other
- cache sizes and, secondly, even if the cache size is known, the
- optimizations target only one level of cache. This kind of data structures
- are called cache aware. This implementation, instead, is cache oblivious:
- it performs well with every cache size, and thus exploits all of the
- available caches.
-
- Assuming \p n is the number of elements in the tree and \p B is the number
- of (dimension_type, Coefficient) pairs that fit in a cache line, the
- time and cache misses complexities are the following:
-
- - Insertions/Queries/Deletions: \f$O(\log^2 n)\f$ time,
- \f$O(\log \frac{n}{B}))\f$ cache misses.
- - Tree traversal from begin() to end(), using an %iterator: \f$O(n)\f$ time,
- \f$O(\frac{n}{B})\f$ cache misses.
- - Queries with a hint: \f$O(\log k)\f$ time and \f$O(\log \frac{k}{B})\f$
- cache misses, where k is the distance between the given %iterator and the
- searched element (or the position where it would have been).
-
- The binary search tree is embedded in a (slightly bigger) complete tree,
- that is enlarged and shrunk when needed. The complete tree is laid out
- in an in-order DFS layout in two arrays: one for the keys and one for the
- associated data.
- The indexes and values are stored in different arrays to reduce
- cache-misses during key queries.
-
- The tree can store up to \f$(-(dimension_type)1)/100\f$ elements.
- This limit allows faster density computations, but can be removed if needed.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class CO_Tree {
-
-public:
- class const_iterator;
- class iterator;
-
-private:
- //! This is used for node heights and depths in the tree.
- typedef unsigned height_t;
-
- PPL_COMPILE_TIME_CHECK(C_Integer<height_t>::max
- >= sizeof_to_bits(sizeof(dimension_type)),
- "height_t is too small to store depths.");
-
- class tree_iterator;
-
- // This must be declared here, because it is a friend of const_iterator.
- //! Returns the index of the current element in the DFS layout of the
- //! complete tree.
- /*!
- \return the index of the current element in the DFS layout of the complete
- tree.
-
- \param itr the iterator that points to the desired element.
- */
- dimension_type dfs_index(const_iterator itr) const;
-
- // This must be declared here, because it is a friend of iterator.
- //! Returns the index of the current element in the DFS layout of the
- //! complete tree.
- /*!
- \return the index of the current element in the DFS layout of the complete
- tree.
-
- \param itr the iterator that points to the desired element.
- */
- dimension_type dfs_index(iterator itr) const;
-
-public:
-
- //! The type of the data elements associated with keys.
- /*!
- If this is changed, occurrences of Coefficient_zero() in the CO_Tree
- implementation have to be replaced with constants of the correct type.
- */
- typedef Coefficient data_type;
- typedef Coefficient_traits::const_reference data_type_const_reference;
-
- //! A const %iterator on the tree elements, ordered by key.
- /*!
- Iterator increment and decrement operations are \f$O(1)\f$ time.
- These iterators are invalidated by operations that add or remove elements
- from the tree.
- */
- class const_iterator {
- private:
- public:
-
- typedef std::bidirectional_iterator_tag iterator_category;
- typedef const data_type value_type;
- typedef ptrdiff_t difference_type;
- typedef value_type* pointer;
- typedef data_type_const_reference reference;
-
- //! Constructs an invalid const_iterator.
- /*!
- This constructor takes \f$O(1)\f$ time.
- */
- explicit const_iterator();
-
- //! Constructs an %iterator pointing to the first element of the tree.
- /*!
- \param tree
- The tree that the new %iterator will point to.
-
- This constructor takes \f$O(1)\f$ time.
- */
- explicit const_iterator(const CO_Tree& tree);
-
- //! Constructs a const_iterator pointing to the i-th node of the tree.
- /*!
- \param tree
- The tree that the new %iterator will point to.
-
- \param i
- The index of the element in \p tree to which the %iterator will point
- to.
-
- The i-th node must be a node with a value or end().
-
- This constructor takes \f$O(1)\f$ time.
- */
- const_iterator(const CO_Tree& tree, dimension_type i);
-
- //! The copy constructor.
- /*!
- \param itr
- The %iterator that will be copied.
-
- This constructor takes \f$O(1)\f$ time.
- */
- const_iterator(const const_iterator& itr);
-
- //! Converts an iterator into a const_iterator.
- /*!
- \param itr
- The iterator that will be converted into a const_iterator.
-
- This constructor takes \f$O(1)\f$ time.
- */
- const_iterator(const iterator& itr);
-
- //! Swaps itr with *this.
- /*!
- \param itr
- The %iterator that will be swapped with *this.
-
- This method takes \f$O(1)\f$ time.
- */
- void m_swap(const_iterator& itr);
-
- //! Assigns \p itr to *this .
- /*!
- \param itr
- The %iterator that will be assigned into *this.
-
- This method takes \f$O(1)\f$ time.
- */
- const_iterator& operator=(const const_iterator& itr);
-
- //! Assigns \p itr to *this .
- /*!
- \param itr
- The %iterator that will be assigned into *this.
-
- This method takes \f$O(1)\f$ time.
- */
- const_iterator& operator=(const iterator& itr);
-
- //! Navigates to the next element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator& operator++();
-
- //! Navigates to the previous element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator& operator--();
-
- //! Navigates to the next element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator operator++(int);
-
- //! Navigates to the previous element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator operator--(int);
-
- //! Returns the current element.
- data_type_const_reference operator*() const;
-
- //! Returns the index of the element pointed to by \c *this.
- /*!
- \returns the index of the element pointed to by \c *this.
- */
- dimension_type index() const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- bool operator==(const const_iterator& x) const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- bool operator!=(const const_iterator& x) const;
-
- private:
- //! Checks the internal invariants, in debug mode only.
- bool OK() const;
-
- //! A pointer to the corresponding element of the tree's indexes[] array.
- const dimension_type* current_index;
-
- //! A pointer to the corresponding element of the tree's data[] array.
- const data_type* current_data;
-
-#if PPL_CO_TREE_EXTRA_DEBUG
- //! A pointer to the corresponding tree, used for debug purposes only.
- const CO_Tree* tree;
-#endif
-
- friend dimension_type CO_Tree::dfs_index(const_iterator itr) const;
- };
-
- //! An %iterator on the tree elements, ordered by key.
- /*!
- Iterator increment and decrement operations are \f$O(1)\f$ time.
- These iterators are invalidated by operations that add or remove elements
- from the tree.
- */
- class iterator {
- public:
-
- typedef std::bidirectional_iterator_tag iterator_category;
- typedef data_type value_type;
- typedef ptrdiff_t difference_type;
- typedef value_type* pointer;
- typedef value_type& reference;
-
- //! Constructs an invalid iterator.
- /*!
- This constructor takes \f$O(1)\f$ time.
- */
- iterator();
-
- //! Constructs an %iterator pointing to first element of the tree.
- /*!
- \param tree
- The tree to which the new %iterator will point to.
-
- This constructor takes \f$O(1)\f$ time.
- */
- explicit iterator(CO_Tree& tree);
-
- //! Constructs an %iterator pointing to the i-th node.
- /*!
- \param tree
- The tree to which the new %iterator will point to.
-
- \param i
- The index of the element in \p tree to which the new %iterator will
- point to.
-
- The i-th node must be a node with a value or end().
-
- This constructor takes \f$O(1)\f$ time.
- */
- iterator(CO_Tree& tree, dimension_type i);
-
- //! The constructor from a tree_iterator.
- /*!
- \param itr
- The tree_iterator that will be converted into an iterator.
-
- This is meant for use by CO_Tree only.
- This is not private to avoid the friend declaration.
-
- This constructor takes \f$O(1)\f$ time.
- */
- explicit iterator(const tree_iterator& itr);
-
- //! The copy constructor.
- /*!
- \param itr
- The %iterator that will be copied.
-
- This constructor takes \f$O(1)\f$ time.
- */
- iterator(const iterator& itr);
-
- //! Swaps itr with *this.
- /*!
- \param itr
- The %iterator that will be swapped with *this.
-
- This method takes \f$O(1)\f$ time.
- */
- void m_swap(iterator& itr);
-
- //! Assigns \p itr to *this .
- /*!
- \param itr
- The %iterator that will be assigned into *this.
-
- This method takes \f$O(1)\f$ time.
- */
- iterator& operator=(const iterator& itr);
-
- //! Assigns \p itr to *this .
- /*!
- \param itr
- The %iterator that will be assigned into *this.
-
- This method takes \f$O(1)\f$ time.
- */
- iterator& operator=(const tree_iterator& itr);
-
- //! Navigates to the next element in the tree.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator& operator++();
-
- //! Navigates to the previous element in the tree.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator& operator--();
-
- //! Navigates to the next element in the tree.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator operator++(int);
-
- //! Navigates to the previous element in the tree.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator operator--(int);
-
- //! Returns the current element.
- data_type& operator*();
-
- //! Returns the current element.
- data_type_const_reference operator*() const;
-
- //! Returns the index of the element pointed to by \c *this.
- /*!
- \returns the index of the element pointed to by \c *this.
- */
- dimension_type index() const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- bool operator==(const iterator& x) const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- bool operator!=(const iterator& x) const;
-
- private:
- //! Checks the internal invariants, in debug mode only.
- bool OK() const;
-
- //! A pointer to the corresponding element of the tree's indexes[] array.
- const dimension_type* current_index;
-
- //! A pointer to the corresponding element of the tree's data[] array.
- data_type* current_data;
-
-#if PPL_CO_TREE_EXTRA_DEBUG
- //! A pointer to the corresponding tree, used for debug purposes only.
- CO_Tree* tree;
-#endif
-
- friend const_iterator& const_iterator::operator=(const iterator&);
- friend dimension_type CO_Tree::dfs_index(iterator itr) const;
- };
-
- //! Constructs an empty tree.
- /*!
- This constructor takes \f$O(1)\f$ time.
- */
- CO_Tree();
-
- //! The copy constructor.
- /*!
- \param y
- The tree that will be copied.
-
- This constructor takes \f$O(n)\f$ time.
- */
- CO_Tree(const CO_Tree& y);
-
- //! A constructor from a sequence of \p n elements.
- /*!
- \param i
- An iterator that points to the first element of the sequence.
-
- \param n
- The number of elements in the [i, i_end) sequence.
-
- i must be an input iterator on a sequence of data_type elements,
- sorted by index.
- Objects of Iterator type must have an index() method that returns the
- index with which the element pointed to by the iterator must be inserted.
-
- This constructor takes \f$O(n)\f$ time, so it is more efficient than
- the construction of an empty tree followed by n insertions, that would
- take \f$O(n*\log^2 n)\f$ time.
- */
- template <typename Iterator>
- CO_Tree(Iterator i, dimension_type n);
-
- //! The assignment operator.
- /*!
- \param y
- The tree that will be assigned to *this.
-
- This method takes \f$O(n)\f$ time.
- */
- CO_Tree& operator=(const CO_Tree& y);
-
- //! Removes all elements from the tree.
- /*!
- This method takes \f$O(n)\f$ time.
- */
- void clear();
-
- //! The destructor.
- /*!
- This destructor takes \f$O(n)\f$ time.
- */
- ~CO_Tree();
-
- //! Returns \p true if the tree has no elements.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- bool empty() const;
-
- //! Returns the number of elements stored in the tree.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- dimension_type size() const;
-
- //! Returns the size() of the largest possible CO_Tree.
- static dimension_type max_size();
-
- //! Dumps the tree to stdout, for debugging purposes.
- void dump_tree() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- This method takes \f$O(n)\f$ time.
- */
- dimension_type external_memory_in_bytes() const;
-
- //! Inserts an element in the tree.
- /*!
- \returns
- An %iterator that points to the inserted pair.
-
- \param key
- The key that will be inserted into the tree, associated with the default
- data.
-
- If such a pair already exists, an %iterator pointing to that pair is
- returned.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log n)\f$ time if the element already exists, and
- \f$O(\log^2 n)\f$ amortized time otherwise.
- */
- iterator insert(dimension_type key);
-
- //! Inserts an element in the tree.
- /*!
- \returns
- An %iterator that points to the inserted element.
-
- \param key
- The key that will be inserted into the tree..
-
- \param data
- The data that will be inserted into the tree.
-
- If an element with the specified key already exists, its associated data
- is set to \p data and an %iterator pointing to that pair is returned.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log n)\f$ time if the element already exists, and
- \f$O(\log^2 n)\f$ amortized time otherwise.amortized
- */
- iterator insert(dimension_type key, data_type_const_reference data);
-
- //! Inserts an element in the tree.
- /*!
- \return
- An %iterator that points to the inserted element.
-
- \param itr
- The %iterator used as hint
-
- \param key
- The key that will be inserted into the tree, associated with the default
- data.
-
- This will be faster if \p itr points near to the place where the new
- element will be inserted (or where is already stored).
- However, the value of \p itr does not affect the result of this
- method, as long it is a valid %iterator for this tree. \p itr may even be
- end().
-
- If an element with the specified key already exists, an %iterator pointing
- to that pair is returned.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log n)\f$ time if the element already exists, and
- \f$O(\log^2 n)\f$ amortized time otherwise.
- */
- iterator insert(iterator itr, dimension_type key);
-
- //! Inserts an element in the tree.
- /*!
- \return
- An iterator that points to the inserted element.
-
- \param itr
- The iterator used as hint
-
- \param key
- The key that will be inserted into the tree.
-
- \param data
- The data that will be inserted into the tree.
-
- This will be faster if \p itr points near to the place where the new
- element will be inserted (or where is already stored).
- However, the value of \p itr does not affect the result of this
- method, as long it is a valid iterator for this tree. \p itr may even be
- end().
-
- If an element with the specified key already exists, its associated data
- is set to \p data and an iterator pointing to that pair is returned.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log n)\f$ time if the element already exists,
- and \f$O(\log^2 n)\f$ amortized time otherwise.
- */
- iterator insert(iterator itr, dimension_type key,
- data_type_const_reference data);
-
- //! Erases the element with key \p key from the tree.
- /*!
- This operation invalidates existing iterators.
-
- \returns an iterator to the next element (or end() if there are no
- elements with key greater than \p key ).
-
- \param key
- The key of the element that will be erased from the tree.
-
- This method takes \f$O(\log n)\f$ time if the element already exists,
- and \f$O(\log^2 n)\f$ amortized time otherwise.
- */
- iterator erase(dimension_type key);
-
- //! Erases the element pointed to by \p itr from the tree.
- /*!
- This operation invalidates existing iterators.
-
- \returns an iterator to the next element (or end() if there are no
- elements with key greater than \p key ).
-
- \param itr
- An iterator pointing to the element that will be erased from the tree.
-
- This method takes \f$O(\log n)\f$ time if the element already exists, and
- \f$O(\log^2 n)\f$ amortized time otherwise.
- */
- iterator erase(iterator itr);
-
- /*!
- \brief Removes the element with key \p key (if it exists) and decrements
- by 1 all elements' keys that were greater than \p key.
-
- \param key
- The key of the element that will be erased from the tree.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(k+\log^2 n)\f$ expected time, where k is the number
- of elements with keys greater than \p key.
- */
- void erase_element_and_shift_left(dimension_type key);
-
- //! Adds \p n to all keys greater than or equal to \p key.
- /*!
- \param key
- The key of the first element whose key will be increased.
-
- \param n
- Specifies how much the keys will be increased.
-
- This method takes \f$O(k+\log n)\f$ expected time, where k is the number
- of elements with keys greater than or equal to \p key.
- */
- void increase_keys_from(dimension_type key, dimension_type n);
-
- //! Sets to \p i the key of *itr. Assumes that i<=itr.index() and that there
- //! are no elements with keys in [i,itr.index()).
- /*!
- All existing iterators remain valid.
-
- This method takes \f$O(1)\f$ time.
- */
- void fast_shift(dimension_type i, iterator itr);
-
- //! Swaps x with *this.
- /*!
- \param x
- The tree that will be swapped with *this.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(1)\f$ time.
- */
- void m_swap(CO_Tree& x);
-
- //! Returns an iterator that points at the first element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator begin();
-
- //! Returns an iterator that points after the last element.
- /*!
- This method always returns a reference to the same internal %iterator,
- that is updated at each operation that modifies the structure.
- Client code can keep a const reference to that %iterator instead of
- keep updating a local %iterator.
-
- This method takes \f$O(1)\f$ time.
- */
- const iterator& end();
-
- //! Equivalent to cbegin().
- const_iterator begin() const;
-
- //! Equivalent to cend().
- const const_iterator& end() const;
-
- //! Returns a const_iterator that points at the first element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator cbegin() const;
-
- //! Returns a const_iterator that points after the last element.
- /*!
- This method always returns a reference to the same internal %iterator,
- that is updated at each operation that modifies the structure.
- Client code can keep a const reference to that %iterator instead of
- keep updating a local %iterator.
-
- This method takes \f$O(1)\f$ time.
- */
- const const_iterator& cend() const;
-
- //! Searches an element with key \p key using bisection.
- /*!
- \param key
- The key that will be searched for.
-
- If the element is found, an %iterator pointing to that element is
- returned; otherwise, the returned %iterator refers to the immediately
- preceding or succeeding value.
- If the tree is empty, end() is returned.
-
- This method takes \f$O(\log n)\f$ time.
- */
- iterator bisect(dimension_type key);
-
- //! Searches an element with key \p key using bisection.
- /*!
- \param key
- The key that will be searched for.
-
- If the element is found, an %iterator pointing to that element is
- returned; otherwise, the returned %iterator refers to the immediately
- preceding or succeeding value.
- If the tree is empty, end() is returned.
-
- This method takes \f$O(\log n)\f$ time.
- */
- const_iterator bisect(dimension_type key) const;
-
- //! Searches an element with key \p key in [first, last] using bisection.
- /*!
- \param first
- An %iterator pointing to the first element in the range.
- It must not be end().
-
- \param last
- An %iterator pointing to the last element in the range.
- Note that this is included in the search.
- It must not be end().
-
- \param key
- The key that will be searched for.
-
- \return
- If the specified key is found, an %iterator pointing to that element is
- returned; otherwise, the returned %iterator refers to the immediately
- preceding or succeeding value.
- If the tree is empty, end() is returned.
-
- This method takes \f$O(\log(last - first + 1))\f$ time.
- */
- iterator bisect_in(iterator first, iterator last, dimension_type key);
-
- //! Searches an element with key \p key in [first, last] using bisection.
- /*!
- \param first
- An %iterator pointing to the first element in the range.
- It must not be end().
-
- \param last
- An %iterator pointing to the last element in the range.
- Note that this is included in the search.
- It must not be end().
-
- \param key
- The key that will be searched for.
-
- \return
- If the specified key is found, an %iterator pointing to that element is
- returned; otherwise, the returned %iterator refers to the immediately
- preceding or succeeding value.
- If the tree is empty, end() is returned.
-
- This method takes \f$O(\log(last - first + 1))\f$ time.
- */
- const_iterator bisect_in(const_iterator first, const_iterator last,
- dimension_type key) const;
-
- //! Searches an element with key \p key near \p hint.
- /*!
- \param hint
- An %iterator used as a hint.
-
- \param key
- The key that will be searched for.
-
- If the element is found, the returned %iterator points to that element;
- otherwise, it points to the immediately preceding or succeeding value.
- If the tree is empty, end() is returned.
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this tree. \p itr may even be end().
-
- This method takes \f$O(\log n)\f$ time. If the distance between the
- returned position and \p hint is \f$O(1)\f$ it takes \f$O(1)\f$ time.
- */
- iterator bisect_near(iterator hint, dimension_type key);
-
- //! Searches an element with key \p key near \p hint.
- /*!
- \param hint
- An %iterator used as a hint.
-
- \param key
- The key that will be searched for.
-
- If the element is found, the returned %iterator points to that element;
- otherwise, it points to the immediately preceding or succeeding value.
- If the tree is empty, end() is returned.
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this tree. \p itr may even be end().
-
- This method takes \f$O(\log n)\f$ time. If the distance between the
- returned position and \p hint is \f$O(1)\f$ it takes \f$O(1)\f$ time.
- */
- const_iterator bisect_near(const_iterator hint, dimension_type key) const;
-
-private:
-
- //! Searches an element with key \p key in [first, last] using bisection.
- /*!
- \param first
- The index of the first element in the range.
- It must be the index of an element with a value.
-
- \param last
- The index of the last element in the range.
- It must be the index of an element with a value.
- Note that this is included in the search.
-
- \param key
- The key that will be searched for.
-
- \return
- If the element is found, the index of that element is returned; otherwise,
- the returned index refers to the immediately preceding or succeeding
- value.
-
- This method takes \f$O(\log n)\f$ time.
- */
- dimension_type bisect_in(dimension_type first, dimension_type last,
- dimension_type key) const;
-
- //! Searches an element with key \p key near \p hint.
- /*!
- \param hint
- An index used as a hint.
- It must be the index of an element with a value.
-
- \param key
- The key that will be searched for.
-
- \return
- If the element is found, the index of that element is returned; otherwise,
- the returned index refers to the immediately preceding or succeeding
- value.
-
- This uses a binary progression and then a bisection, so this method is
- \f$O(\log n)\f$, and it is \f$O(1)\f$ if the distance between the returned
- position and \p hint is \f$O(1)\f$.
-
- This method takes \f$O(\log n)\f$ time. If the distance between the
- returned position and \p hint is \f$O(1)\f$ it takes \f$O(1)\f$ time.
- */
- dimension_type bisect_near(dimension_type hint, dimension_type key) const;
-
- //! Inserts an element in the tree.
- /*!
- If there is already an element with key \p key in the tree, its
- associated data is set to \p data.
-
- This operation invalidates existing iterators.
-
- \return
- An %iterator that points to the inserted element.
-
- \param key
- The key that will be inserted into the tree.
-
- \param data
- The data that will be associated with \p key.
-
- \param itr
- It must point to the element in the tree with key \p key or, if no such
- element exists, it must point to the node that would be his parent.
-
- This method takes \f$O(1)\f$ time if the element already exists, and
- \f$O(\log^2 n)\f$ amortized time otherwise.
- */
- tree_iterator insert_precise(dimension_type key,
- data_type_const_reference data,
- tree_iterator itr);
-
- //! Inserts an element in the tree.
- /*!
-
- \param key
- The key that will be inserted into the tree.
-
- \param data
- The data that will be associated with \p key.
-
- The tree must be empty.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(1)\f$ time.
- */
- void insert_in_empty_tree(dimension_type key,
- data_type_const_reference data);
-
- //! Erases from the tree the element pointed to by \p itr .
- /*!
- This operation invalidates existing iterators.
-
- \returns
- An %iterator to the next element (or end() if there are no elements with
- key greater than \p key ).
-
- \param itr
- An %iterator pointing to the element that will be erased.
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- iterator erase(tree_iterator itr);
-
- //! Initializes a tree with reserved size at least \p n .
- /*!
- \param n
- A lower bound on the tree's desired reserved size.
-
- This method takes \f$O(n)\f$ time.
- */
- void init(dimension_type n);
-
- //! Deallocates the tree's dynamic arrays.
- /*!
- After this call, the tree fields are uninitialized, so init() must be
- called again before using the tree.
-
- This method takes \f$O(n)\f$ time.
- */
- void destroy();
-
- //! Checks the internal invariants, but not the densities.
- bool structure_OK() const;
-
- //! Checks the internal invariants.
- bool OK() const;
-
- //! Returns the floor of the base-2 logarithm of \p n .
- /*!
- \param n
- It must be greater than zero.
-
- This method takes \f$O(\log n)\f$ time.
- */
- static unsigned integer_log2(dimension_type n);
-
- //! Compares the fractions numer/denom with ratio/100.
- /*!
- \returns Returns true if the fraction numer/denom is less
- than the fraction ratio/100.
-
- \param ratio
- It must be less than or equal to 100.
-
- \param numer
- The numerator of the fraction.
-
- \param denom
- The denominator of the fraction.
-
- This method takes \f$O(1)\f$ time.
- */
- static bool is_less_than_ratio(dimension_type numer, dimension_type denom,
- dimension_type ratio);
-
- //! Compares the fractions numer/denom with ratio/100.
- /*!
- \returns
- Returns true if the fraction numer/denom is greater than the fraction
- ratio/100.
-
- \param ratio
- It must be less than or equal to 100.
-
- \param numer
- The numerator of the fraction.
-
- \param denom
- The denominator of the fraction.
-
- This method takes \f$O(1)\f$ time.
- */
- static bool is_greater_than_ratio(dimension_type numer, dimension_type denom,
- dimension_type ratio);
-
- //! Dumps the subtree rooted at \p itr to stdout, for debugging purposes.
- /*!
- \param itr
- A tree_iterator pointing to the root of the desired subtree.
- */
- static void dump_subtree(tree_iterator itr);
-
- //! Increases the tree's reserved size.
- /*!
- This is called when the density is about to exceed the maximum density
- (specified by max_density_percent).
-
- This method takes \f$O(n)\f$ time.
- */
- void rebuild_bigger_tree();
-
- //! Decreases the tree's reserved size.
- /*!
- This is called when the density is about to become less than the minimum
- allowed density (specified by min_density_percent).
-
- \p reserved_size must be greater than 3 (otherwise the tree can just be
- cleared).
-
- This method takes \f$O(n)\f$ time.
- */
- void rebuild_smaller_tree();
-
- //! Re-initializes the cached iterators.
- /*!
- This method must be called when the indexes[] and data[] vector are
- reallocated.
-
- This method takes \f$O(1)\f$ time.
- */
- void refresh_cached_iterators();
-
- //! Rebalances the tree.
- /*!
- For insertions, it adds the pair (key, value) in the process.
-
- This operation invalidates existing iterators that point to nodes in the
- rebalanced subtree.
-
- \returns an %iterator pointing to the root of the subtree that was
- rebalanced.
-
- \param itr
- It points to the node where the new element has to be inserted or where an
- element has just been deleted.
-
- \param key
- The index that will be inserted in the tree (for insertions only).
-
- \param value
- The value that will be inserted in the tree (for insertions only).
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- tree_iterator rebalance(tree_iterator itr, dimension_type key,
- data_type_const_reference value);
-
- //! Moves all elements of a subtree to the rightmost end.
- /*!
- \returns
- The index of the rightmost unused node in the subtree after the process.
-
- \param last_in_subtree
- It is the index of the last element in the subtree.
-
- \param subtree_size
- It is the number of valid elements in the subtree.
- It must be greater than zero.
-
- \param key
- The key that may be added to the tree if add_element is \c true.
-
- \param value
- The value that may be added to the tree if add_element is \c true.
-
- \param add_element
- If it is true, it tries to add an element with key \p key and value
- \p value in the process (but it may not).
-
- This method takes \f$O(k)\f$ time, where k is \p subtree_size.
- */
- dimension_type compact_elements_in_the_rightmost_end(
- dimension_type last_in_subtree, dimension_type subtree_size,
- dimension_type key, data_type_const_reference value,
- bool add_element);
-
- //! Redistributes the elements in the subtree rooted at \p root_index.
- /*!
- The subtree's elements must be compacted to the rightmost end.
-
- \param root_index
- The index of the subtree's root node.
-
- \param subtree_size
- It is the number of used elements in the subtree.
- It must be greater than zero.
-
- \param last_used
- It points to the leftmost element with a value in the subtree.
-
- \param add_element
- If it is true, this method adds an element with the specified key and
- value in the process.
-
- \param key
- The key that will be added to the tree if \p add_element is \c true.
-
- \param value
- The data that will be added to the tree if \p add_element is \c true.
-
- This method takes \f$O(k)\f$ time, where k is \p subtree_size.
- */
- void redistribute_elements_in_subtree(dimension_type root_index,
- dimension_type subtree_size,
- dimension_type last_used,
- dimension_type key,
- data_type_const_reference value,
- bool add_element);
-
- //! Moves all data in the tree \p tree into *this.
- /*!
- \param tree
- The tree from which the element will be moved into *this.
-
- *this must be empty and big enough to contain all of tree's data without
- exceeding max_density.
-
- This method takes \f$O(n)\f$ time.
- */
- void move_data_from(CO_Tree& tree);
-
- //! Copies all data in the tree \p tree into *this.
- /*!
- \param tree
- The tree from which the element will be copied into *this.
-
- *this must be empty and must have the same reserved size of \p tree.
- this->OK() may return false before this method is called, but
- this->structure_OK() must return true.
-
- This method takes \f$O(n)\f$ time.
- */
- void copy_data_from(const CO_Tree& tree);
-
- //! Counts the number of used elements in the subtree rooted at itr.
- /*!
- \param itr
- An %iterator pointing to the root of the desired subtree.
-
- This method takes \f$O(k)\f$ time, where k is the number of elements in
- the subtree.
- */
- static dimension_type count_used_in_subtree(tree_iterator itr);
-
- //! Moves the value of \p from in \p to .
- /*!
- \param from
- It must be a valid value.
-
- \param to
- It must be a non-constructed chunk of memory.
-
- After the move, \p from becomes a non-constructed chunk of memory and
- \p to gets the value previously stored by \p from.
-
- The implementation of this method assumes that data_type values do not
- keep pointers to themselves nor to their fields.
-
- This method takes \f$O(1)\f$ time.
- */
- static void move_data_element(data_type& to, data_type& from);
-
- //! The maximum density of used nodes.
- /*!
- This must be greater than or equal to 50 and lower than 100.
- */
- static const dimension_type max_density_percent = 91;
-
- //! The minimum density of used nodes.
- /*!
- Must be strictly lower than the half of max_density_percent.
- */
- static const dimension_type min_density_percent = 38;
-
- //! The minimum density at the leaves' depth.
- /*!
- Must be greater than zero and strictly lower than min_density_percent.
-
- Increasing the value is safe but leads to time inefficiencies
- (measured against ppl_lpsol on 24 August 2010), because it forces trees to
- be more balanced, increasing the cost of rebalancing.
- */
- static const dimension_type min_leaf_density_percent = 1;
-
- //! An index used as a marker for unused nodes in the tree.
- /*!
- This must not be used as a key.
- */
- static const dimension_type unused_index = C_Integer<dimension_type>::max;
-
- //! The %iterator returned by end().
- /*!
- It is updated when needed, to keep it valid.
- */
- iterator cached_end;
-
- //! The %iterator returned by the const version of end().
- /*!
- It is updated when needed, to keep it valid.
- */
- const_iterator cached_const_end;
-
- //! The depth of the leaves in the complete tree.
- height_t max_depth;
-
- //! The vector that contains the keys in the tree.
- /*!
- If an element of this vector is \p unused_index , it means that that
- element and the corresponding element of data[] are not used.
-
- Its size is reserved_size + 2, because the first and the last elements
- are used as markers for iterators.
- */
- dimension_type* indexes;
-
- //! The allocator used to allocate/deallocate data.
- std::allocator<data_type> data_allocator;
-
- //! The vector that contains the data of the keys in the tree.
- /*!
- If index[i] is \p unused_index, data[i] is unused.
- Otherwise, data[i] contains the data associated to the indexes[i] key.
-
- Its size is reserved_size + 1, because the first element is not used (to
- allow using the same index in both indexes[] and data[] instead of
- adding 1 to access data[]).
- */
- data_type* data;
-
- //! The number of nodes in the complete tree.
- /*!
- It is one less than a power of 2.
- If this is 0, data and indexes are set to NULL.
- */
- dimension_type reserved_size;
-
- //! The number of values stored in the tree.
- dimension_type size_;
-};
-
-class CO_Tree::tree_iterator {
-
-public:
-
- /*!
- \brief Constructs a tree_iterator pointing at the root node of the
- specified tree
-
- \param tree
- The tree to which the new %iterator will point to.
- It must not be empty.
- */
- explicit tree_iterator(CO_Tree& tree);
-
- //! Constructs a tree_iterator pointing at the specified node of the tree.
- /*!
- \param tree
- The tree to which the new %iterator will point to.
- It must not be empty.
-
- \param i
- The index of the element in \p tree to which the new %iterator will point
- to.
- */
- tree_iterator(CO_Tree& tree, dimension_type i);
-
- //! Constructs a tree_iterator from an iterator.
- /*!
- \param itr
- The iterator that will be converted into a tree_iterator.
- It must not be end().
-
- \param tree
- The tree to which the new %iterator will point to.
- It must not be empty.
- */
- tree_iterator(const iterator& itr, CO_Tree& tree);
-
- //! The assignment operator.
- /*!
- \param itr
- The %iterator that will be assigned into *this.
- */
- tree_iterator& operator=(const tree_iterator& itr);
-
- //! The assignment operator from an iterator.
- /*!
- \param itr
- The iterator that will be assigned into *this.
- */
- tree_iterator& operator=(const iterator& itr);
-
- //! Compares *this with \p itr.
- /*!
- \param itr
- The %iterator that will compared with *this.
- */
- bool operator==(const tree_iterator& itr) const;
-
- //! Compares *this with \p itr.
- /*!
- \param itr
- The %iterator that will compared with *this.
- */
- bool operator!=(const tree_iterator& itr) const;
-
- //! Makes the %iterator point to the root of \p tree.
- /*!
- The values of all fields (beside tree) are overwritten.
-
- This method takes \f$O(1)\f$ time.
- */
- void get_root();
-
- //! Makes the %iterator point to the left child of the current node.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- void get_left_child();
-
- //! Makes the %iterator point to the right child of the current node.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- void get_right_child();
-
- //! Makes the %iterator point to the parent of the current node.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- void get_parent();
-
- /*!
- \brief Searches for an element with key \p key in the subtree rooted at
- \p *this.
-
- \param key
- The searched for key.
-
- After this method, *this points to the found node (if it exists) or to
- the node that would be his parent (otherwise).
-
- This method takes \f$O(\log n)\f$ time.
- */
- void go_down_searching_key(dimension_type key);
-
- /*!
- \brief Follows left children with a value, until it arrives at a leaf or at
- a node with no value.
-
- This method takes \f$O(1)\f$ time.
- */
- void follow_left_children_with_value();
-
- /*!
- \brief Follows right children with a value, until it arrives at a leaf or at
- a node with no value.
-
- This method takes \f$O(1)\f$ time.
- */
- void follow_right_children_with_value();
-
- //! Returns true if the pointed node is the root node.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- bool is_root() const;
-
- //! Returns true if the pointed node has a parent and is its right child.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- bool is_right_child() const;
-
- //! Returns true if the pointed node is a leaf of the complete tree.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- bool is_leaf() const;
-
- //! Returns the key and value of the current node.
- data_type& operator*();
-
- //! Returns the key and value of the current node.
- Coefficient_traits::const_reference operator*() const;
-
- //! Returns a reference to the index of the element pointed to by \c *this.
- /*!
- \returns a reference to the index of the element pointed to by \c *this.
- */
- dimension_type& index();
-
- //! Returns the index of the element pointed to by \c *this.
- /*!
- \returns the index of the element pointed to by \c *this.
- */
- dimension_type index() const;
-
- //! Returns the index of the node pointed to by \c *this.
- /*!
- \returns the key of the node pointed to by \c *this, or unused_index if
- the current node does not contain a valid element.
- */
- dimension_type key() const;
-
- //! The tree containing the element pointed to by this %iterator.
- CO_Tree& tree;
-
- /*!
- \brief Returns the index of the current node in the DFS layout of the
- complete tree.
- */
- dimension_type dfs_index() const;
-
- /*!
- \brief Returns 2^h, with h the height of the current node in the tree,
- counting from 0.
-
- Thus leaves have offset 1.
- This is faster than depth(), so it is useful to compare node depths.
-
- This method takes \f$O(1)\f$ time.
- */
- dimension_type get_offset() const;
-
- //! Returns the depth of the current node in the complete tree.
- /*!
- This method takes \f$O(\log n)\f$ time.
- */
- height_t depth() const;
-
-private:
- //! Checks the internal invariant.
- bool OK() const;
-
- //! The index of the current node in the DFS layout of the complete tree.
- dimension_type i;
-
- /*!
- \brief This is 2^h, with h the height of the current node in the tree,
- counting from 0.
-
- Thus leaves have offset 1.
- This is equal to (i & -i), and is only stored to increase performance.
- */
- dimension_type offset;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates CO_Tree */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(CO_Tree& x, CO_Tree& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates CO_Tree::const_iterator */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(CO_Tree::const_iterator& x, CO_Tree::const_iterator& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates CO_Tree::iterator */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(CO_Tree::iterator& x, CO_Tree::iterator& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "CO_Tree.inlines.hh"
-#include "CO_Tree.templates.hh"
-
-#endif // !defined(PPL_CO_Tree_defs_hh)
diff --git a/src/CO_Tree.inlines.hh b/src/CO_Tree.inlines.hh
deleted file mode 100644
index 4722204..0000000
--- a/src/CO_Tree.inlines.hh
+++ /dev/null
@@ -1,864 +0,0 @@
-/* CO_Tree class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_CO_Tree_inlines_hh
-#define PPL_CO_Tree_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline dimension_type
-CO_Tree::dfs_index(const_iterator itr) const {
- PPL_ASSERT(itr.current_index != 0);
- PPL_ASSERT(itr.current_index >= indexes + 1);
- PPL_ASSERT(itr.current_index <= indexes + reserved_size);
- const ptrdiff_t index = itr.current_index - indexes;
- return static_cast<dimension_type>(index);
-}
-
-inline dimension_type
-CO_Tree::dfs_index(iterator itr) const {
- PPL_ASSERT(itr.current_index != 0);
- PPL_ASSERT(itr.current_index >= indexes + 1);
- PPL_ASSERT(itr.current_index <= indexes + reserved_size);
- const ptrdiff_t index = itr.current_index - indexes;
- return static_cast<dimension_type>(index);
-}
-
-inline
-CO_Tree::CO_Tree() {
- init(0);
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::CO_Tree(const CO_Tree& y) {
- PPL_ASSERT(y.OK());
- data_allocator = y.data_allocator;
- init(y.reserved_size);
- copy_data_from(y);
-}
-
-inline CO_Tree&
-CO_Tree::operator=(const CO_Tree& y) {
- if (this != &y) {
- destroy();
- data_allocator = y.data_allocator;
- init(y.reserved_size);
- copy_data_from(y);
- }
- return *this;
-}
-
-inline void
-CO_Tree::clear() {
- *this = CO_Tree();
-}
-
-inline
-CO_Tree::~CO_Tree() {
-
- destroy();
-}
-
-inline bool
-CO_Tree::empty() const {
- return size_ == 0;
-}
-
-inline dimension_type
-CO_Tree::size() const {
- return size_;
-}
-
-inline dimension_type
-CO_Tree::max_size() {
- return C_Integer<dimension_type>::max/100;
-}
-
-inline void
-CO_Tree::dump_tree() const {
- if (empty())
- std::cout << "(empty tree)" << std::endl;
- else
- dump_subtree(tree_iterator(*const_cast<CO_Tree*>(this)));
-}
-
-inline CO_Tree::iterator
-CO_Tree::insert(const dimension_type key) {
- if (empty())
- return insert(key, Coefficient_zero());
- else {
- tree_iterator itr(*this);
- itr.go_down_searching_key(key);
- if (itr.index() == key)
- return iterator(itr);
- else
- return iterator(insert_precise(key, Coefficient_zero(), itr));
- }
-}
-
-inline CO_Tree::iterator
-CO_Tree::insert(dimension_type key, data_type_const_reference data1) {
- if (empty()) {
- insert_in_empty_tree(key, data1);
- tree_iterator itr(*this);
- PPL_ASSERT(itr.index() != unused_index);
- return iterator(itr);
- } else {
- tree_iterator itr(*this);
- itr.go_down_searching_key(key);
- return iterator(insert_precise(key, data1, itr));
- }
-}
-
-inline CO_Tree::iterator
-CO_Tree::erase(dimension_type key) {
- PPL_ASSERT(key != unused_index);
-
- if (empty())
- return end();
-
- tree_iterator itr(*this);
- itr.go_down_searching_key(key);
-
- if (itr.index() == key)
- return erase(itr);
-
- iterator result(itr);
- if (result.index() < key)
- ++result;
-
- PPL_ASSERT(result == end() || result.index() > key);
-#ifndef NDEBUG
- iterator last = end();
- --last;
- PPL_ASSERT((result == end()) == (last.index() < key));
-#endif
-
- return result;
-}
-
-inline CO_Tree::iterator
-CO_Tree::erase(iterator itr) {
- PPL_ASSERT(itr != end());
- return erase(tree_iterator(itr, *this));
-}
-
-inline void
-CO_Tree::m_swap(CO_Tree& x) {
- using std::swap;
- swap(max_depth, x.max_depth);
- swap(indexes, x.indexes);
- swap(data_allocator, x.data_allocator);
- swap(data, x.data);
- swap(reserved_size, x.reserved_size);
- swap(size_, x.size_);
- // Cached iterators have been invalidated by the swap,
- // they must be refreshed here.
- refresh_cached_iterators();
- x.refresh_cached_iterators();
- PPL_ASSERT(structure_OK());
- PPL_ASSERT(x.structure_OK());
-}
-
-inline CO_Tree::iterator
-CO_Tree::begin() {
- return iterator(*this);
-}
-
-inline const CO_Tree::iterator&
-CO_Tree::end() {
- return cached_end;
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::begin() const {
- return const_iterator(*this);
-}
-
-inline const CO_Tree::const_iterator&
-CO_Tree::end() const {
- return cached_const_end;
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::cbegin() const {
- return const_iterator(*this);
-}
-
-inline const CO_Tree::const_iterator&
-CO_Tree::cend() const {
- return cached_const_end;
-}
-
-inline CO_Tree::iterator
-CO_Tree::bisect(dimension_type key) {
- if (empty())
- return end();
- iterator last = end();
- --last;
- return bisect_in(begin(), last, key);
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::bisect(dimension_type key) const {
- if (empty())
- return end();
- const_iterator last = end();
- --last;
- return bisect_in(begin(), last, key);
-}
-
-inline CO_Tree::iterator
-CO_Tree::bisect_in(iterator first, iterator last, dimension_type key) {
- PPL_ASSERT(first != end());
- PPL_ASSERT(last != end());
- dimension_type index = bisect_in(dfs_index(first), dfs_index(last), key);
- return iterator(*this, index);
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::bisect_in(const_iterator first, const_iterator last,
- dimension_type key) const {
- PPL_ASSERT(first != end());
- PPL_ASSERT(last != end());
- dimension_type index = bisect_in(dfs_index(first), dfs_index(last), key);
- return const_iterator(*this, index);
-}
-
-inline CO_Tree::iterator
-CO_Tree::bisect_near(iterator hint, dimension_type key) {
- if (hint == end())
- return bisect(key);
- dimension_type index = bisect_near(dfs_index(hint), key);
- return iterator(*this, index);
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::bisect_near(const_iterator hint, dimension_type key) const {
- if (hint == end())
- return bisect(key);
- dimension_type index = bisect_near(dfs_index(hint), key);
- return const_iterator(*this, index);
-}
-
-inline void
-CO_Tree::fast_shift(dimension_type i, iterator itr) {
- PPL_ASSERT(itr != end());
- PPL_ASSERT(i <= itr.index());
- indexes[dfs_index(itr)] = i;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::insert_in_empty_tree(dimension_type key,
- data_type_const_reference data1) {
- PPL_ASSERT(empty());
- rebuild_bigger_tree();
- tree_iterator itr(*this);
- PPL_ASSERT(itr.index() == unused_index);
- new (&(*itr)) data_type(data1);
- // Set the index afterwards, so that if the constructor above throws
- // the tree's structure is consistent.
- itr.index() = key;
- ++size_;
-
- PPL_ASSERT(OK());
-}
-
-inline bool
-CO_Tree::is_less_than_ratio(dimension_type numer, dimension_type denom,
- dimension_type ratio) {
- PPL_ASSERT(ratio <= 100);
- // If these are true, no overflows are possible.
- PPL_ASSERT(denom <= unused_index/100);
- PPL_ASSERT(numer <= unused_index/100);
- return 100*numer < ratio*denom;
-}
-
-inline bool
-CO_Tree::is_greater_than_ratio(dimension_type numer, dimension_type denom,
- dimension_type ratio) {
- PPL_ASSERT(ratio <= 100);
- // If these are true, no overflows are possible.
- PPL_ASSERT(denom <= unused_index/100);
- PPL_ASSERT(numer <= unused_index/100);
- return 100*numer > ratio*denom;
-}
-
-inline void
-CO_Tree::rebuild_smaller_tree() {
- PPL_ASSERT(reserved_size > 3);
- CO_Tree new_tree;
- new_tree.init(reserved_size / 2);
- new_tree.move_data_from(*this);
- m_swap(new_tree);
- PPL_ASSERT(new_tree.structure_OK());
- PPL_ASSERT(structure_OK());
-}
-
-inline void
-CO_Tree::refresh_cached_iterators() {
- cached_end = iterator(*this, reserved_size + 1);
- cached_const_end = const_iterator(*this, reserved_size + 1);
-}
-
-inline void
-CO_Tree::move_data_element(data_type& to, data_type& from) {
- // The following code is equivalent (but slower):
- //
- // <CODE>
- // new (&to) data_type(from);
- // from.~data_type();
- // </CODE>
- std::memcpy(&to, &from, sizeof(data_type));
-}
-
-
-inline
-CO_Tree::const_iterator::const_iterator()
- : current_index(0), current_data(0) {
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = 0;
-#endif
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::const_iterator::const_iterator(const CO_Tree& tree1)
- : current_index(&(tree1.indexes[1])), current_data(&(tree1.data[1])) {
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = &tree1;
-#endif
- if (!tree1.empty())
- while (*current_index == unused_index) {
- ++current_index;
- ++current_data;
- }
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::const_iterator::const_iterator(const CO_Tree& tree1,
- dimension_type i)
- : current_index(&(tree1.indexes[i])), current_data(&(tree1.data[i])) {
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = &tree1;
-#endif
- PPL_ASSERT(i != 0);
- PPL_ASSERT(i <= tree1.reserved_size + 1);
- PPL_ASSERT(tree1.empty() || tree1.indexes[i] != unused_index);
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::const_iterator::const_iterator(const const_iterator& itr2) {
- (*this) = itr2;
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::const_iterator::const_iterator(const iterator& itr2) {
- (*this) = itr2;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::const_iterator::m_swap(const_iterator& itr) {
- using std::swap;
- swap(current_data, itr.current_data);
- swap(current_index, itr.current_index);
-#if PPL_CO_TREE_EXTRA_DEBUG
- swap(tree, itr.tree);
-#endif
- PPL_ASSERT(OK());
- PPL_ASSERT(itr.OK());
-}
-
-inline CO_Tree::const_iterator&
-CO_Tree::const_iterator::operator=(const const_iterator& itr2) {
- current_index = itr2.current_index;
- current_data = itr2.current_data;
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = itr2.tree;
-#endif
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::const_iterator&
-CO_Tree::const_iterator::operator=(const iterator& itr2) {
- current_index = itr2.current_index;
- current_data = itr2.current_data;
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = itr2.tree;
-#endif
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::const_iterator&
-CO_Tree::const_iterator::operator++() {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- ++current_index;
- ++current_data;
- while (*current_index == unused_index) {
- ++current_index;
- ++current_data;
- }
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::const_iterator&
-CO_Tree::const_iterator::operator--() {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- --current_index;
- --current_data;
- while (*current_index == unused_index) {
- --current_index;
- --current_data;
- }
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::const_iterator::operator++(int) {
- const_iterator itr(*this);
- ++(*this);
- return itr;
-}
-
-inline CO_Tree::const_iterator
-CO_Tree::const_iterator::operator--(int) {
- const_iterator itr(*this);
- --(*this);
- return itr;
-}
-
-inline Coefficient_traits::const_reference
-CO_Tree::const_iterator::operator*() const {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- PPL_ASSERT(OK());
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- return *current_data;
-}
-
-inline dimension_type
-CO_Tree::const_iterator::index() const {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- PPL_ASSERT(OK());
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- return *current_index;
-}
-
-inline bool
-CO_Tree::const_iterator::operator==(const const_iterator& x) const {
- PPL_ASSERT((current_index == x.current_index)
- == (current_data == x.current_data));
- PPL_ASSERT(OK());
- return (current_index == x.current_index);
-}
-
-inline bool
-CO_Tree::const_iterator::operator!=(const const_iterator& x) const {
- return !(*this == x);
-}
-
-
-inline
-CO_Tree::iterator::iterator()
- : current_index(0), current_data(0) {
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = 0;
-#endif
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::iterator::iterator(CO_Tree& tree1)
- : current_index(&(tree1.indexes[1])), current_data(&(tree1.data[1])) {
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = &tree1;
-#endif
- if (!tree1.empty())
- while (*current_index == unused_index) {
- ++current_index;
- ++current_data;
- }
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::iterator::iterator(CO_Tree& tree1, dimension_type i)
- : current_index(&(tree1.indexes[i])), current_data(&(tree1.data[i])) {
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = &tree1;
-#endif
- PPL_ASSERT(i != 0);
- PPL_ASSERT(i <= tree1.reserved_size + 1);
- PPL_ASSERT(tree1.empty() || tree1.indexes[i] != unused_index);
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::iterator::iterator(const tree_iterator& itr) {
- *this = itr;
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::iterator::iterator(const iterator& itr2) {
- (*this) = itr2;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::iterator::m_swap(iterator& itr) {
- using std::swap;
- swap(current_data, itr.current_data);
- swap(current_index, itr.current_index);
-#if PPL_CO_TREE_EXTRA_DEBUG
- swap(tree, itr.tree);
-#endif
- PPL_ASSERT(OK());
- PPL_ASSERT(itr.OK());
-}
-
-inline CO_Tree::iterator&
-CO_Tree::iterator::operator=(const tree_iterator& itr) {
- current_index = &(itr.tree.indexes[itr.dfs_index()]);
- current_data = &(itr.tree.data[itr.dfs_index()]);
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = &(itr.tree);
-#endif
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::iterator&
-CO_Tree::iterator::operator=(const iterator& itr2) {
- current_index = itr2.current_index;
- current_data = itr2.current_data;
-#if PPL_CO_TREE_EXTRA_DEBUG
- tree = itr2.tree;
-#endif
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::iterator&
-CO_Tree::iterator::operator++() {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- ++current_index;
- ++current_data;
- while (*current_index == unused_index) {
- ++current_index;
- ++current_data;
- }
-
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::iterator&
-CO_Tree::iterator::operator--() {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- --current_index;
- --current_data;
- while (*current_index == unused_index) {
- --current_index;
- --current_data;
- }
-
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline CO_Tree::iterator
-CO_Tree::iterator::operator++(int) {
- iterator itr(*this);
- ++(*this);
- return itr;
-}
-
-inline CO_Tree::iterator
-CO_Tree::iterator::operator--(int) {
- iterator itr(*this);
- --(*this);
- return itr;
-}
-
-inline CO_Tree::data_type&
-CO_Tree::iterator::operator*() {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- PPL_ASSERT(OK());
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- return *current_data;
-}
-
-inline Coefficient_traits::const_reference
-CO_Tree::iterator::operator*() const {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- PPL_ASSERT(OK());
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- return *current_data;
-}
-
-inline dimension_type
-CO_Tree::iterator::index() const {
- PPL_ASSERT(current_index != 0);
- PPL_ASSERT(current_data != 0);
- PPL_ASSERT(OK());
-#if PPL_CO_TREE_EXTRA_DEBUG
- PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
-#endif
- return *current_index;
-}
-
-inline bool
-CO_Tree::iterator::operator==(const iterator& x) const {
- PPL_ASSERT((current_index == x.current_index)
- == (current_data == x.current_data));
- PPL_ASSERT(OK());
- return (current_index == x.current_index);
-}
-
-inline bool
-CO_Tree::iterator::operator!=(const iterator& x) const {
- return !(*this == x);
-}
-
-
-inline
-CO_Tree::tree_iterator::tree_iterator(CO_Tree& tree1)
- : tree(tree1) {
- PPL_ASSERT(tree.reserved_size != 0);
- get_root();
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::tree_iterator::tree_iterator(CO_Tree& tree1, dimension_type i1)
- : tree(tree1) {
- PPL_ASSERT(tree.reserved_size != 0);
- PPL_ASSERT(i1 <= tree.reserved_size + 1);
- i = i1;
- offset = least_significant_one_mask(i);
- PPL_ASSERT(OK());
-}
-
-inline
-CO_Tree::tree_iterator::tree_iterator(const iterator& itr, CO_Tree& tree1)
- : tree(tree1) {
- PPL_ASSERT(tree.reserved_size != 0);
- *this = itr;
- PPL_ASSERT(OK());
-}
-
-inline CO_Tree::tree_iterator&
-CO_Tree::tree_iterator::operator=(const tree_iterator& itr) {
- PPL_ASSERT(&tree == &(itr.tree));
- i = itr.i;
- offset = itr.offset;
- return *this;
-}
-
-inline CO_Tree::tree_iterator&
-CO_Tree::tree_iterator::operator=(const iterator& itr) {
- PPL_ASSERT(itr != tree.end());
- i = tree.dfs_index(itr);
- offset = least_significant_one_mask(i);
- return *this;
-}
-
-inline bool
-CO_Tree::tree_iterator::operator==(const tree_iterator& itr) const {
- return i == itr.i;
-}
-
-inline bool
-CO_Tree::tree_iterator::operator!=(const tree_iterator& itr) const {
- return !(*this == itr);
-}
-
-inline void
-CO_Tree::tree_iterator::get_root() {
- i = tree.reserved_size / 2 + 1;
- offset = i;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::tree_iterator::get_left_child() {
- PPL_ASSERT(offset != 0);
- PPL_ASSERT(offset != 1);
- offset /= 2;
- i -= offset;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::tree_iterator::get_right_child() {
- PPL_ASSERT(offset != 0);
- PPL_ASSERT(offset != 1);
- offset /= 2;
- i += offset;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::tree_iterator::get_parent() {
- PPL_ASSERT(!is_root());
- PPL_ASSERT(offset != 0);
- i &= ~offset;
- offset *= 2;
- i |= offset;
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::tree_iterator::follow_left_children_with_value() {
- PPL_ASSERT(index() != unused_index);
- dimension_type* p = tree.indexes;
- p += i;
- p -= (offset - 1);
- while (*p == unused_index)
- ++p;
- ptrdiff_t distance = p - tree.indexes;
- PPL_ASSERT(distance >= 0);
- i = static_cast<dimension_type>(distance);
- offset = least_significant_one_mask(i);
- PPL_ASSERT(OK());
-}
-
-inline void
-CO_Tree::tree_iterator::follow_right_children_with_value() {
- PPL_ASSERT(index() != unused_index);
- dimension_type* p = tree.indexes;
- p += i;
- p += (offset - 1);
- while (*p == unused_index)
- --p;
- ptrdiff_t distance = p - tree.indexes;
- PPL_ASSERT(distance >= 0);
- i = static_cast<dimension_type>(distance);
- offset = least_significant_one_mask(i);
- PPL_ASSERT(OK());
-}
-
-inline bool
-CO_Tree::tree_iterator::is_root() const {
- // This is implied by OK(), it is here for reference only.
- PPL_ASSERT(offset <= (tree.reserved_size / 2 + 1));
- return offset == (tree.reserved_size / 2 + 1);
-}
-
-inline bool
-CO_Tree::tree_iterator::is_right_child() const {
- if (is_root())
- return false;
- return (i & (2*offset)) != 0;
-}
-
-inline bool
-CO_Tree::tree_iterator::is_leaf() const {
- return offset == 1;
-}
-
-inline CO_Tree::data_type&
-CO_Tree::tree_iterator::operator*() {
- return tree.data[i];
-}
-
-inline Coefficient_traits::const_reference
-CO_Tree::tree_iterator::operator*() const {
- return tree.data[i];
-}
-
-inline dimension_type&
-CO_Tree::tree_iterator::index() {
- return tree.indexes[i];
-}
-
-inline dimension_type
-CO_Tree::tree_iterator::index() const {
- return tree.indexes[i];
-}
-
-inline dimension_type
-CO_Tree::tree_iterator::dfs_index() const {
- return i;
-}
-
-inline dimension_type
-CO_Tree::tree_iterator::get_offset() const {
- return offset;
-}
-
-inline CO_Tree::height_t
-CO_Tree::tree_iterator::depth() const {
- return integer_log2((tree.reserved_size + 1) / offset);
-}
-
-inline void
-swap(CO_Tree& x, CO_Tree& y) {
- x.m_swap(y);
-}
-
-inline void
-swap(CO_Tree::const_iterator& x, CO_Tree::const_iterator& y) {
- x.m_swap(y);
-}
-
-inline void
-swap(CO_Tree::iterator& x, CO_Tree::iterator& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_CO_Tree_inlines_hh)
diff --git a/src/CO_Tree.templates.hh b/src/CO_Tree.templates.hh
deleted file mode 100644
index a498adf..0000000
--- a/src/CO_Tree.templates.hh
+++ /dev/null
@@ -1,139 +0,0 @@
-/* CO_Tree class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_CO_Tree_templates_hh
-#define PPL_CO_Tree_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Iterator>
-CO_Tree::CO_Tree(Iterator i, dimension_type n) {
-
- if (n == 0) {
- init(0);
- PPL_ASSERT(OK());
- return;
- }
-
- dimension_type new_max_depth = integer_log2(n) + 1;
- reserved_size = (static_cast<dimension_type>(1) << new_max_depth) - 1;
-
- if (is_greater_than_ratio(n, reserved_size, max_density_percent)
- && reserved_size != 3)
- reserved_size = reserved_size*2 + 1;
-
- init(reserved_size);
-
- tree_iterator root(*this);
-
- // This is static and with static allocation, to improve performance.
- // sizeof_to_bits(sizeof(dimension_type)) is the maximum k such that
- // 2^k-1 is a dimension_type, so it is the maximum tree height.
- // For each node level, the stack may contain up to 4 elements: two elements
- // with operation 0, one element with operation 2 and one element
- // with operation 3. An additional element with operation 1 can be at the
- // top of the tree.
- static std::pair<dimension_type, signed char>
- stack[4U * sizeof_to_bits(sizeof(dimension_type)) + 1U];
-
- dimension_type stack_first_empty = 0;
-
- // A pair (n, operation) in the stack means:
- //
- // * Go to the parent, if operation is 0.
- // * Go to the left child, then fill the current tree with n elements, if
- // operation is 1.
- // * Go to the right child, then fill the current tree with n elements, if
- // operation is 2.
- // * Fill the current tree with n elements, if operation is 3.
-
- stack[0].first = n;
- stack[0].second = 3;
- ++stack_first_empty;
-
- while (stack_first_empty != 0) {
-
- // Implement
- //
- // <CODE>
- // top_n = stack.top().first;
- // top_operation = stack.top().second;
- // </CODE>
- const dimension_type top_n = stack[stack_first_empty - 1].first;
- const signed char top_operation = stack[stack_first_empty - 1].second;
-
- switch (top_operation) {
-
- case 0:
- root.get_parent();
- --stack_first_empty;
- continue;
-
- case 1:
- root.get_left_child();
- break;
-
- case 2:
- root.get_right_child();
- break;
-#ifndef NDEBUG
- case 3:
- break;
-
- default:
- // We should not be here
- PPL_UNREACHABLE;
-#endif
- }
-
- // We now visit the current tree
-
- if (top_n == 0) {
- --stack_first_empty;
- } else {
- if (top_n == 1) {
- PPL_ASSERT(root.index() == unused_index);
- root.index() = i.index();
- new (&(*root)) data_type(*i);
- ++i;
- --stack_first_empty;
- } else {
- PPL_ASSERT(stack_first_empty + 3 < sizeof(stack)/sizeof(stack[0]));
-
- const dimension_type half = (top_n + 1) / 2;
- stack[stack_first_empty - 1].second = 0;
- stack[stack_first_empty ] = std::make_pair(top_n - half, 2);
- stack[stack_first_empty + 1] = std::make_pair(1, 3);
- stack[stack_first_empty + 2].second = 0;
- stack[stack_first_empty + 3] = std::make_pair(half - 1, 1);
- stack_first_empty += 4;
- }
- }
- }
- size_ = n;
- PPL_ASSERT(OK());
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_CO_Tree_templates_hh)
diff --git a/src/CO_Tree.types.hh b/src/CO_Tree.types.hh
deleted file mode 100644
index b7157a0..0000000
--- a/src/CO_Tree.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_CO_Tree_types_hh
-#define PPL_CO_Tree_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class CO_Tree;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_CO_Tree_types_hh)
diff --git a/src/CO_Tree_defs.hh b/src/CO_Tree_defs.hh
new file mode 100644
index 0000000..223e390
--- /dev/null
+++ b/src/CO_Tree_defs.hh
@@ -0,0 +1,1559 @@
+/* CO_Tree class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_CO_Tree_defs_hh
+#define PPL_CO_Tree_defs_hh 1
+
+#include "CO_Tree_types.hh"
+
+#include "Coefficient_defs.hh"
+#include <memory>
+
+#ifndef PPL_CO_TREE_EXTRA_DEBUG
+#ifdef PPL_ABI_BREAKING_EXTRA_DEBUG
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*!
+ \brief
+ Enables extra debugging information for class CO_Tree.
+
+ \ingroup PPL_CXX_interface
+ When <CODE>PPL_CO_TREE_EXTRA_DEBUG</CODE> evaluates to <CODE>true</CODE>,
+ each CO_Tree iterator and const_iterator carries a pointer to the associated
+ tree; this enables extra consistency checks to be performed.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+#define PPL_CO_TREE_EXTRA_DEBUG 1
+#else // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
+#define PPL_CO_TREE_EXTRA_DEBUG 0
+#endif // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
+#endif // !defined(PPL_CO_TREE_EXTRA_DEBUG)
+
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A cache-oblivious binary search tree of pairs.
+/*! \ingroup PPL_CXX_interface
+ This class implements a binary search tree with keys of dimension_type type
+ and data of Coefficient type, laid out in a dynamically-sized array.
+
+ The array-based layout saves calls to new/delete (to insert \f$n\f$ elements
+ only \f$O(\log n)\f$ allocations are performed) and, more importantly, is
+ much more cache-friendly than a standard (pointer-based) tree, because the
+ elements are stored sequentially in memory (leaving some holes to allow
+ fast insertion of new elements).
+ The downside of this representation is that all iterators are invalidated
+ when an element is added or removed, because the array could have been
+ enlarged or shrunk. This is partially addressed by providing references to
+ internal end iterators that are updated when needed.
+
+ B-trees are cache-friendly too, but the cache size is fixed (usually at
+ compile-time). This raises two problems: firstly the cache size must be
+ known in advance and those data structures do not perform well with other
+ cache sizes and, secondly, even if the cache size is known, the
+ optimizations target only one level of cache. This kind of data structures
+ are called cache aware. This implementation, instead, is cache oblivious:
+ it performs well with every cache size, and thus exploits all of the
+ available caches.
+
+ Assuming \p n is the number of elements in the tree and \p B is the number
+ of (dimension_type, Coefficient) pairs that fit in a cache line, the
+ time and cache misses complexities are the following:
+
+ - Insertions/Queries/Deletions: \f$O(\log^2 n)\f$ time,
+ \f$O(\log \frac{n}{B}))\f$ cache misses.
+ - Tree traversal from begin() to end(), using an %iterator: \f$O(n)\f$ time,
+ \f$O(\frac{n}{B})\f$ cache misses.
+ - Queries with a hint: \f$O(\log k)\f$ time and \f$O(\log \frac{k}{B})\f$
+ cache misses, where k is the distance between the given %iterator and the
+ searched element (or the position where it would have been).
+
+ The binary search tree is embedded in a (slightly bigger) complete tree,
+ that is enlarged and shrunk when needed. The complete tree is laid out
+ in an in-order DFS layout in two arrays: one for the keys and one for the
+ associated data.
+ The indexes and values are stored in different arrays to reduce
+ cache-misses during key queries.
+
+ The tree can store up to \f$(-(dimension_type)1)/100\f$ elements.
+ This limit allows faster density computations, but can be removed if needed.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class CO_Tree {
+
+public:
+ class const_iterator;
+ class iterator;
+
+private:
+ //! This is used for node heights and depths in the tree.
+ typedef unsigned height_t;
+
+ PPL_COMPILE_TIME_CHECK(C_Integer<height_t>::max
+ >= sizeof_to_bits(sizeof(dimension_type)),
+ "height_t is too small to store depths.");
+
+ class tree_iterator;
+
+ // This must be declared here, because it is a friend of const_iterator.
+ //! Returns the index of the current element in the DFS layout of the
+ //! complete tree.
+ /*!
+ \return the index of the current element in the DFS layout of the complete
+ tree.
+
+ \param itr the iterator that points to the desired element.
+ */
+ dimension_type dfs_index(const_iterator itr) const;
+
+ // This must be declared here, because it is a friend of iterator.
+ //! Returns the index of the current element in the DFS layout of the
+ //! complete tree.
+ /*!
+ \return the index of the current element in the DFS layout of the complete
+ tree.
+
+ \param itr the iterator that points to the desired element.
+ */
+ dimension_type dfs_index(iterator itr) const;
+
+public:
+
+ //! The type of the data elements associated with keys.
+ /*!
+ If this is changed, occurrences of Coefficient_zero() in the CO_Tree
+ implementation have to be replaced with constants of the correct type.
+ */
+ typedef Coefficient data_type;
+ typedef Coefficient_traits::const_reference data_type_const_reference;
+
+ //! A const %iterator on the tree elements, ordered by key.
+ /*!
+ Iterator increment and decrement operations are \f$O(1)\f$ time.
+ These iterators are invalidated by operations that add or remove elements
+ from the tree.
+ */
+ class const_iterator {
+ private:
+ public:
+
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef const data_type value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type* pointer;
+ typedef data_type_const_reference reference;
+
+ //! Constructs an invalid const_iterator.
+ /*!
+ This constructor takes \f$O(1)\f$ time.
+ */
+ explicit const_iterator();
+
+ //! Constructs an %iterator pointing to the first element of the tree.
+ /*!
+ \param tree
+ The tree that the new %iterator will point to.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ explicit const_iterator(const CO_Tree& tree);
+
+ //! Constructs a const_iterator pointing to the i-th node of the tree.
+ /*!
+ \param tree
+ The tree that the new %iterator will point to.
+
+ \param i
+ The index of the element in \p tree to which the %iterator will point
+ to.
+
+ The i-th node must be a node with a value or end().
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ const_iterator(const CO_Tree& tree, dimension_type i);
+
+ //! The copy constructor.
+ /*!
+ \param itr
+ The %iterator that will be copied.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ const_iterator(const const_iterator& itr);
+
+ //! Converts an iterator into a const_iterator.
+ /*!
+ \param itr
+ The iterator that will be converted into a const_iterator.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ const_iterator(const iterator& itr);
+
+ //! Swaps itr with *this.
+ /*!
+ \param itr
+ The %iterator that will be swapped with *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void m_swap(const_iterator& itr);
+
+ //! Assigns \p itr to *this .
+ /*!
+ \param itr
+ The %iterator that will be assigned into *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator& operator=(const const_iterator& itr);
+
+ //! Assigns \p itr to *this .
+ /*!
+ \param itr
+ The %iterator that will be assigned into *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator& operator=(const iterator& itr);
+
+ //! Navigates to the next element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator& operator++();
+
+ //! Navigates to the previous element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator& operator--();
+
+ //! Navigates to the next element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator operator++(int);
+
+ //! Navigates to the previous element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator operator--(int);
+
+ //! Returns the current element.
+ data_type_const_reference operator*() const;
+
+ //! Returns the index of the element pointed to by \c *this.
+ /*!
+ \returns the index of the element pointed to by \c *this.
+ */
+ dimension_type index() const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ bool operator==(const const_iterator& x) const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ bool operator!=(const const_iterator& x) const;
+
+ private:
+ //! Checks the internal invariants, in debug mode only.
+ bool OK() const;
+
+ //! A pointer to the corresponding element of the tree's indexes[] array.
+ const dimension_type* current_index;
+
+ //! A pointer to the corresponding element of the tree's data[] array.
+ const data_type* current_data;
+
+#if PPL_CO_TREE_EXTRA_DEBUG
+ //! A pointer to the corresponding tree, used for debug purposes only.
+ const CO_Tree* tree;
+#endif
+
+ friend dimension_type CO_Tree::dfs_index(const_iterator itr) const;
+ };
+
+ //! An %iterator on the tree elements, ordered by key.
+ /*!
+ Iterator increment and decrement operations are \f$O(1)\f$ time.
+ These iterators are invalidated by operations that add or remove elements
+ from the tree.
+ */
+ class iterator {
+ public:
+
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef data_type value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type* pointer;
+ typedef value_type& reference;
+
+ //! Constructs an invalid iterator.
+ /*!
+ This constructor takes \f$O(1)\f$ time.
+ */
+ iterator();
+
+ //! Constructs an %iterator pointing to first element of the tree.
+ /*!
+ \param tree
+ The tree to which the new %iterator will point to.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ explicit iterator(CO_Tree& tree);
+
+ //! Constructs an %iterator pointing to the i-th node.
+ /*!
+ \param tree
+ The tree to which the new %iterator will point to.
+
+ \param i
+ The index of the element in \p tree to which the new %iterator will
+ point to.
+
+ The i-th node must be a node with a value or end().
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ iterator(CO_Tree& tree, dimension_type i);
+
+ //! The constructor from a tree_iterator.
+ /*!
+ \param itr
+ The tree_iterator that will be converted into an iterator.
+
+ This is meant for use by CO_Tree only.
+ This is not private to avoid the friend declaration.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ explicit iterator(const tree_iterator& itr);
+
+ //! The copy constructor.
+ /*!
+ \param itr
+ The %iterator that will be copied.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ iterator(const iterator& itr);
+
+ //! Swaps itr with *this.
+ /*!
+ \param itr
+ The %iterator that will be swapped with *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void m_swap(iterator& itr);
+
+ //! Assigns \p itr to *this .
+ /*!
+ \param itr
+ The %iterator that will be assigned into *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator& operator=(const iterator& itr);
+
+ //! Assigns \p itr to *this .
+ /*!
+ \param itr
+ The %iterator that will be assigned into *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator& operator=(const tree_iterator& itr);
+
+ //! Navigates to the next element in the tree.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator& operator++();
+
+ //! Navigates to the previous element in the tree.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator& operator--();
+
+ //! Navigates to the next element in the tree.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator operator++(int);
+
+ //! Navigates to the previous element in the tree.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator operator--(int);
+
+ //! Returns the current element.
+ data_type& operator*();
+
+ //! Returns the current element.
+ data_type_const_reference operator*() const;
+
+ //! Returns the index of the element pointed to by \c *this.
+ /*!
+ \returns the index of the element pointed to by \c *this.
+ */
+ dimension_type index() const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ bool operator==(const iterator& x) const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ bool operator!=(const iterator& x) const;
+
+ private:
+ //! Checks the internal invariants, in debug mode only.
+ bool OK() const;
+
+ //! A pointer to the corresponding element of the tree's indexes[] array.
+ const dimension_type* current_index;
+
+ //! A pointer to the corresponding element of the tree's data[] array.
+ data_type* current_data;
+
+#if PPL_CO_TREE_EXTRA_DEBUG
+ //! A pointer to the corresponding tree, used for debug purposes only.
+ CO_Tree* tree;
+#endif
+
+ friend const_iterator& const_iterator::operator=(const iterator&);
+ friend dimension_type CO_Tree::dfs_index(iterator itr) const;
+ };
+
+ //! Constructs an empty tree.
+ /*!
+ This constructor takes \f$O(1)\f$ time.
+ */
+ CO_Tree();
+
+ //! The copy constructor.
+ /*!
+ \param y
+ The tree that will be copied.
+
+ This constructor takes \f$O(n)\f$ time.
+ */
+ CO_Tree(const CO_Tree& y);
+
+ //! A constructor from a sequence of \p n elements.
+ /*!
+ \param i
+ An iterator that points to the first element of the sequence.
+
+ \param n
+ The number of elements in the [i, i_end) sequence.
+
+ i must be an input iterator on a sequence of data_type elements,
+ sorted by index.
+ Objects of Iterator type must have an index() method that returns the
+ index with which the element pointed to by the iterator must be inserted.
+
+ This constructor takes \f$O(n)\f$ time, so it is more efficient than
+ the construction of an empty tree followed by n insertions, that would
+ take \f$O(n*\log^2 n)\f$ time.
+ */
+ template <typename Iterator>
+ CO_Tree(Iterator i, dimension_type n);
+
+ //! The assignment operator.
+ /*!
+ \param y
+ The tree that will be assigned to *this.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ CO_Tree& operator=(const CO_Tree& y);
+
+ //! Removes all elements from the tree.
+ /*!
+ This method takes \f$O(n)\f$ time.
+ */
+ void clear();
+
+ //! The destructor.
+ /*!
+ This destructor takes \f$O(n)\f$ time.
+ */
+ ~CO_Tree();
+
+ //! Returns \p true if the tree has no elements.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ bool empty() const;
+
+ //! Returns the number of elements stored in the tree.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ dimension_type size() const;
+
+ //! Returns the size() of the largest possible CO_Tree.
+ static dimension_type max_size();
+
+ //! Dumps the tree to stdout, for debugging purposes.
+ void dump_tree() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ This method takes \f$O(n)\f$ time.
+ */
+ dimension_type external_memory_in_bytes() const;
+
+ //! Inserts an element in the tree.
+ /*!
+ \returns
+ An %iterator that points to the inserted pair.
+
+ \param key
+ The key that will be inserted into the tree, associated with the default
+ data.
+
+ If such a pair already exists, an %iterator pointing to that pair is
+ returned.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log n)\f$ time if the element already exists, and
+ \f$O(\log^2 n)\f$ amortized time otherwise.
+ */
+ iterator insert(dimension_type key);
+
+ //! Inserts an element in the tree.
+ /*!
+ \returns
+ An %iterator that points to the inserted element.
+
+ \param key
+ The key that will be inserted into the tree..
+
+ \param data
+ The data that will be inserted into the tree.
+
+ If an element with the specified key already exists, its associated data
+ is set to \p data and an %iterator pointing to that pair is returned.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log n)\f$ time if the element already exists, and
+ \f$O(\log^2 n)\f$ amortized time otherwise.amortized
+ */
+ iterator insert(dimension_type key, data_type_const_reference data);
+
+ //! Inserts an element in the tree.
+ /*!
+ \return
+ An %iterator that points to the inserted element.
+
+ \param itr
+ The %iterator used as hint
+
+ \param key
+ The key that will be inserted into the tree, associated with the default
+ data.
+
+ This will be faster if \p itr points near to the place where the new
+ element will be inserted (or where is already stored).
+ However, the value of \p itr does not affect the result of this
+ method, as long it is a valid %iterator for this tree. \p itr may even be
+ end().
+
+ If an element with the specified key already exists, an %iterator pointing
+ to that pair is returned.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log n)\f$ time if the element already exists, and
+ \f$O(\log^2 n)\f$ amortized time otherwise.
+ */
+ iterator insert(iterator itr, dimension_type key);
+
+ //! Inserts an element in the tree.
+ /*!
+ \return
+ An iterator that points to the inserted element.
+
+ \param itr
+ The iterator used as hint
+
+ \param key
+ The key that will be inserted into the tree.
+
+ \param data
+ The data that will be inserted into the tree.
+
+ This will be faster if \p itr points near to the place where the new
+ element will be inserted (or where is already stored).
+ However, the value of \p itr does not affect the result of this
+ method, as long it is a valid iterator for this tree. \p itr may even be
+ end().
+
+ If an element with the specified key already exists, its associated data
+ is set to \p data and an iterator pointing to that pair is returned.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log n)\f$ time if the element already exists,
+ and \f$O(\log^2 n)\f$ amortized time otherwise.
+ */
+ iterator insert(iterator itr, dimension_type key,
+ data_type_const_reference data);
+
+ //! Erases the element with key \p key from the tree.
+ /*!
+ This operation invalidates existing iterators.
+
+ \returns an iterator to the next element (or end() if there are no
+ elements with key greater than \p key ).
+
+ \param key
+ The key of the element that will be erased from the tree.
+
+ This method takes \f$O(\log n)\f$ time if the element already exists,
+ and \f$O(\log^2 n)\f$ amortized time otherwise.
+ */
+ iterator erase(dimension_type key);
+
+ //! Erases the element pointed to by \p itr from the tree.
+ /*!
+ This operation invalidates existing iterators.
+
+ \returns an iterator to the next element (or end() if there are no
+ elements with key greater than \p key ).
+
+ \param itr
+ An iterator pointing to the element that will be erased from the tree.
+
+ This method takes \f$O(\log n)\f$ time if the element already exists, and
+ \f$O(\log^2 n)\f$ amortized time otherwise.
+ */
+ iterator erase(iterator itr);
+
+ /*!
+ \brief Removes the element with key \p key (if it exists) and decrements
+ by 1 all elements' keys that were greater than \p key.
+
+ \param key
+ The key of the element that will be erased from the tree.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(k+\log^2 n)\f$ expected time, where k is the number
+ of elements with keys greater than \p key.
+ */
+ void erase_element_and_shift_left(dimension_type key);
+
+ //! Adds \p n to all keys greater than or equal to \p key.
+ /*!
+ \param key
+ The key of the first element whose key will be increased.
+
+ \param n
+ Specifies how much the keys will be increased.
+
+ This method takes \f$O(k+\log n)\f$ expected time, where k is the number
+ of elements with keys greater than or equal to \p key.
+ */
+ void increase_keys_from(dimension_type key, dimension_type n);
+
+ //! Sets to \p i the key of *itr. Assumes that i<=itr.index() and that there
+ //! are no elements with keys in [i,itr.index()).
+ /*!
+ All existing iterators remain valid.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void fast_shift(dimension_type i, iterator itr);
+
+ //! Swaps x with *this.
+ /*!
+ \param x
+ The tree that will be swapped with *this.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void m_swap(CO_Tree& x);
+
+ //! Returns an iterator that points at the first element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator begin();
+
+ //! Returns an iterator that points after the last element.
+ /*!
+ This method always returns a reference to the same internal %iterator,
+ that is updated at each operation that modifies the structure.
+ Client code can keep a const reference to that %iterator instead of
+ keep updating a local %iterator.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const iterator& end();
+
+ //! Equivalent to cbegin().
+ const_iterator begin() const;
+
+ //! Equivalent to cend().
+ const const_iterator& end() const;
+
+ //! Returns a const_iterator that points at the first element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator cbegin() const;
+
+ //! Returns a const_iterator that points after the last element.
+ /*!
+ This method always returns a reference to the same internal %iterator,
+ that is updated at each operation that modifies the structure.
+ Client code can keep a const reference to that %iterator instead of
+ keep updating a local %iterator.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const const_iterator& cend() const;
+
+ //! Searches an element with key \p key using bisection.
+ /*!
+ \param key
+ The key that will be searched for.
+
+ If the element is found, an %iterator pointing to that element is
+ returned; otherwise, the returned %iterator refers to the immediately
+ preceding or succeeding value.
+ If the tree is empty, end() is returned.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ iterator bisect(dimension_type key);
+
+ //! Searches an element with key \p key using bisection.
+ /*!
+ \param key
+ The key that will be searched for.
+
+ If the element is found, an %iterator pointing to that element is
+ returned; otherwise, the returned %iterator refers to the immediately
+ preceding or succeeding value.
+ If the tree is empty, end() is returned.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ const_iterator bisect(dimension_type key) const;
+
+ //! Searches an element with key \p key in [first, last] using bisection.
+ /*!
+ \param first
+ An %iterator pointing to the first element in the range.
+ It must not be end().
+
+ \param last
+ An %iterator pointing to the last element in the range.
+ Note that this is included in the search.
+ It must not be end().
+
+ \param key
+ The key that will be searched for.
+
+ \return
+ If the specified key is found, an %iterator pointing to that element is
+ returned; otherwise, the returned %iterator refers to the immediately
+ preceding or succeeding value.
+ If the tree is empty, end() is returned.
+
+ This method takes \f$O(\log(last - first + 1))\f$ time.
+ */
+ iterator bisect_in(iterator first, iterator last, dimension_type key);
+
+ //! Searches an element with key \p key in [first, last] using bisection.
+ /*!
+ \param first
+ An %iterator pointing to the first element in the range.
+ It must not be end().
+
+ \param last
+ An %iterator pointing to the last element in the range.
+ Note that this is included in the search.
+ It must not be end().
+
+ \param key
+ The key that will be searched for.
+
+ \return
+ If the specified key is found, an %iterator pointing to that element is
+ returned; otherwise, the returned %iterator refers to the immediately
+ preceding or succeeding value.
+ If the tree is empty, end() is returned.
+
+ This method takes \f$O(\log(last - first + 1))\f$ time.
+ */
+ const_iterator bisect_in(const_iterator first, const_iterator last,
+ dimension_type key) const;
+
+ //! Searches an element with key \p key near \p hint.
+ /*!
+ \param hint
+ An %iterator used as a hint.
+
+ \param key
+ The key that will be searched for.
+
+ If the element is found, the returned %iterator points to that element;
+ otherwise, it points to the immediately preceding or succeeding value.
+ If the tree is empty, end() is returned.
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this tree. \p itr may even be end().
+
+ This method takes \f$O(\log n)\f$ time. If the distance between the
+ returned position and \p hint is \f$O(1)\f$ it takes \f$O(1)\f$ time.
+ */
+ iterator bisect_near(iterator hint, dimension_type key);
+
+ //! Searches an element with key \p key near \p hint.
+ /*!
+ \param hint
+ An %iterator used as a hint.
+
+ \param key
+ The key that will be searched for.
+
+ If the element is found, the returned %iterator points to that element;
+ otherwise, it points to the immediately preceding or succeeding value.
+ If the tree is empty, end() is returned.
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this tree. \p itr may even be end().
+
+ This method takes \f$O(\log n)\f$ time. If the distance between the
+ returned position and \p hint is \f$O(1)\f$ it takes \f$O(1)\f$ time.
+ */
+ const_iterator bisect_near(const_iterator hint, dimension_type key) const;
+
+private:
+
+ //! Searches an element with key \p key in [first, last] using bisection.
+ /*!
+ \param first
+ The index of the first element in the range.
+ It must be the index of an element with a value.
+
+ \param last
+ The index of the last element in the range.
+ It must be the index of an element with a value.
+ Note that this is included in the search.
+
+ \param key
+ The key that will be searched for.
+
+ \return
+ If the element is found, the index of that element is returned; otherwise,
+ the returned index refers to the immediately preceding or succeeding
+ value.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ dimension_type bisect_in(dimension_type first, dimension_type last,
+ dimension_type key) const;
+
+ //! Searches an element with key \p key near \p hint.
+ /*!
+ \param hint
+ An index used as a hint.
+ It must be the index of an element with a value.
+
+ \param key
+ The key that will be searched for.
+
+ \return
+ If the element is found, the index of that element is returned; otherwise,
+ the returned index refers to the immediately preceding or succeeding
+ value.
+
+ This uses a binary progression and then a bisection, so this method is
+ \f$O(\log n)\f$, and it is \f$O(1)\f$ if the distance between the returned
+ position and \p hint is \f$O(1)\f$.
+
+ This method takes \f$O(\log n)\f$ time. If the distance between the
+ returned position and \p hint is \f$O(1)\f$ it takes \f$O(1)\f$ time.
+ */
+ dimension_type bisect_near(dimension_type hint, dimension_type key) const;
+
+ //! Inserts an element in the tree.
+ /*!
+ If there is already an element with key \p key in the tree, its
+ associated data is set to \p data.
+
+ This operation invalidates existing iterators.
+
+ \return
+ An %iterator that points to the inserted element.
+
+ \param key
+ The key that will be inserted into the tree.
+
+ \param data
+ The data that will be associated with \p key.
+
+ \param itr
+ It must point to the element in the tree with key \p key or, if no such
+ element exists, it must point to the node that would be his parent.
+
+ This method takes \f$O(1)\f$ time if the element already exists, and
+ \f$O(\log^2 n)\f$ amortized time otherwise.
+ */
+ tree_iterator insert_precise(dimension_type key,
+ data_type_const_reference data,
+ tree_iterator itr);
+
+ //! Helper for \c insert_precise.
+ /*!
+ This helper method takes the same arguments as \c insert_precise,
+ but besides assuming that \p itr is a correct hint, it also assumes
+ that \p key and \p data are not in the tree; namely, a proper
+ insertion has to be done and the insertion can not invalidate \p data.
+ */
+ tree_iterator insert_precise_aux(dimension_type key,
+ data_type_const_reference data,
+ tree_iterator itr);
+
+ //! Inserts an element in the tree.
+ /*!
+
+ \param key
+ The key that will be inserted into the tree.
+
+ \param data
+ The data that will be associated with \p key.
+
+ The tree must be empty.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void insert_in_empty_tree(dimension_type key,
+ data_type_const_reference data);
+
+ //! Erases from the tree the element pointed to by \p itr .
+ /*!
+ This operation invalidates existing iterators.
+
+ \returns
+ An %iterator to the next element (or end() if there are no elements with
+ key greater than \p key ).
+
+ \param itr
+ An %iterator pointing to the element that will be erased.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ iterator erase(tree_iterator itr);
+
+ //! Initializes a tree with reserved size at least \p n .
+ /*!
+ \param n
+ A lower bound on the tree's desired reserved size.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void init(dimension_type n);
+
+ //! Deallocates the tree's dynamic arrays.
+ /*!
+ After this call, the tree fields are uninitialized, so init() must be
+ called again before using the tree.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void destroy();
+
+ //! Checks the internal invariants, but not the densities.
+ bool structure_OK() const;
+
+ //! Checks the internal invariants.
+ bool OK() const;
+
+ //! Returns the floor of the base-2 logarithm of \p n .
+ /*!
+ \param n
+ It must be greater than zero.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ static unsigned integer_log2(dimension_type n);
+
+ //! Compares the fractions numer/denom with ratio/100.
+ /*!
+ \returns Returns true if the fraction numer/denom is less
+ than the fraction ratio/100.
+
+ \param ratio
+ It must be less than or equal to 100.
+
+ \param numer
+ The numerator of the fraction.
+
+ \param denom
+ The denominator of the fraction.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ static bool is_less_than_ratio(dimension_type numer, dimension_type denom,
+ dimension_type ratio);
+
+ //! Compares the fractions numer/denom with ratio/100.
+ /*!
+ \returns
+ Returns true if the fraction numer/denom is greater than the fraction
+ ratio/100.
+
+ \param ratio
+ It must be less than or equal to 100.
+
+ \param numer
+ The numerator of the fraction.
+
+ \param denom
+ The denominator of the fraction.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ static bool is_greater_than_ratio(dimension_type numer, dimension_type denom,
+ dimension_type ratio);
+
+ //! Dumps the subtree rooted at \p itr to stdout, for debugging purposes.
+ /*!
+ \param itr
+ A tree_iterator pointing to the root of the desired subtree.
+ */
+ static void dump_subtree(tree_iterator itr);
+
+ //! Increases the tree's reserved size.
+ /*!
+ This is called when the density is about to exceed the maximum density
+ (specified by max_density_percent).
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void rebuild_bigger_tree();
+
+ //! Decreases the tree's reserved size.
+ /*!
+ This is called when the density is about to become less than the minimum
+ allowed density (specified by min_density_percent).
+
+ \p reserved_size must be greater than 3 (otherwise the tree can just be
+ cleared).
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void rebuild_smaller_tree();
+
+ //! Re-initializes the cached iterators.
+ /*!
+ This method must be called when the indexes[] and data[] vector are
+ reallocated.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void refresh_cached_iterators();
+
+ //! Rebalances the tree.
+ /*!
+ For insertions, it adds the pair (key, value) in the process.
+
+ This operation invalidates existing iterators that point to nodes in the
+ rebalanced subtree.
+
+ \returns an %iterator pointing to the root of the subtree that was
+ rebalanced.
+
+ \param itr
+ It points to the node where the new element has to be inserted or where an
+ element has just been deleted.
+
+ \param key
+ The index that will be inserted in the tree (for insertions only).
+
+ \param value
+ The value that will be inserted in the tree (for insertions only).
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ tree_iterator rebalance(tree_iterator itr, dimension_type key,
+ data_type_const_reference value);
+
+ //! Moves all elements of a subtree to the rightmost end.
+ /*!
+ \returns
+ The index of the rightmost unused node in the subtree after the process.
+
+ \param last_in_subtree
+ It is the index of the last element in the subtree.
+
+ \param subtree_size
+ It is the number of valid elements in the subtree.
+ It must be greater than zero.
+
+ \param key
+ The key that may be added to the tree if add_element is \c true.
+
+ \param value
+ The value that may be added to the tree if add_element is \c true.
+
+ \param add_element
+ If it is true, it tries to add an element with key \p key and value
+ \p value in the process (but it may not).
+
+ This method takes \f$O(k)\f$ time, where k is \p subtree_size.
+ */
+ dimension_type compact_elements_in_the_rightmost_end(
+ dimension_type last_in_subtree, dimension_type subtree_size,
+ dimension_type key, data_type_const_reference value,
+ bool add_element);
+
+ //! Redistributes the elements in the subtree rooted at \p root_index.
+ /*!
+ The subtree's elements must be compacted to the rightmost end.
+
+ \param root_index
+ The index of the subtree's root node.
+
+ \param subtree_size
+ It is the number of used elements in the subtree.
+ It must be greater than zero.
+
+ \param last_used
+ It points to the leftmost element with a value in the subtree.
+
+ \param add_element
+ If it is true, this method adds an element with the specified key and
+ value in the process.
+
+ \param key
+ The key that will be added to the tree if \p add_element is \c true.
+
+ \param value
+ The data that will be added to the tree if \p add_element is \c true.
+
+ This method takes \f$O(k)\f$ time, where k is \p subtree_size.
+ */
+ void redistribute_elements_in_subtree(dimension_type root_index,
+ dimension_type subtree_size,
+ dimension_type last_used,
+ dimension_type key,
+ data_type_const_reference value,
+ bool add_element);
+
+ //! Moves all data in the tree \p tree into *this.
+ /*!
+ \param tree
+ The tree from which the element will be moved into *this.
+
+ *this must be empty and big enough to contain all of tree's data without
+ exceeding max_density.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void move_data_from(CO_Tree& tree);
+
+ //! Copies all data in the tree \p tree into *this.
+ /*!
+ \param tree
+ The tree from which the element will be copied into *this.
+
+ *this must be empty and must have the same reserved size of \p tree.
+ this->OK() may return false before this method is called, but
+ this->structure_OK() must return true.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void copy_data_from(const CO_Tree& tree);
+
+ //! Counts the number of used elements in the subtree rooted at itr.
+ /*!
+ \param itr
+ An %iterator pointing to the root of the desired subtree.
+
+ This method takes \f$O(k)\f$ time, where k is the number of elements in
+ the subtree.
+ */
+ static dimension_type count_used_in_subtree(tree_iterator itr);
+
+ //! Moves the value of \p from in \p to .
+ /*!
+ \param from
+ It must be a valid value.
+
+ \param to
+ It must be a non-constructed chunk of memory.
+
+ After the move, \p from becomes a non-constructed chunk of memory and
+ \p to gets the value previously stored by \p from.
+
+ The implementation of this method assumes that data_type values do not
+ keep pointers to themselves nor to their fields.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ static void move_data_element(data_type& to, data_type& from);
+
+ //! The maximum density of used nodes.
+ /*!
+ This must be greater than or equal to 50 and lower than 100.
+ */
+ static const dimension_type max_density_percent = 91;
+
+ //! The minimum density of used nodes.
+ /*!
+ Must be strictly lower than the half of max_density_percent.
+ */
+ static const dimension_type min_density_percent = 38;
+
+ //! The minimum density at the leaves' depth.
+ /*!
+ Must be greater than zero and strictly lower than min_density_percent.
+
+ Increasing the value is safe but leads to time inefficiencies
+ (measured against ppl_lpsol on 24 August 2010), because it forces trees to
+ be more balanced, increasing the cost of rebalancing.
+ */
+ static const dimension_type min_leaf_density_percent = 1;
+
+ //! An index used as a marker for unused nodes in the tree.
+ /*!
+ This must not be used as a key.
+ */
+ static const dimension_type unused_index = C_Integer<dimension_type>::max;
+
+ //! The %iterator returned by end().
+ /*!
+ It is updated when needed, to keep it valid.
+ */
+ iterator cached_end;
+
+ //! The %iterator returned by the const version of end().
+ /*!
+ It is updated when needed, to keep it valid.
+ */
+ const_iterator cached_const_end;
+
+ //! The depth of the leaves in the complete tree.
+ height_t max_depth;
+
+ //! The vector that contains the keys in the tree.
+ /*!
+ If an element of this vector is \p unused_index , it means that that
+ element and the corresponding element of data[] are not used.
+
+ Its size is reserved_size + 2, because the first and the last elements
+ are used as markers for iterators.
+ */
+ dimension_type* indexes;
+
+ //! The allocator used to allocate/deallocate data.
+ std::allocator<data_type> data_allocator;
+
+ //! The vector that contains the data of the keys in the tree.
+ /*!
+ If index[i] is \p unused_index, data[i] is unused.
+ Otherwise, data[i] contains the data associated to the indexes[i] key.
+
+ Its size is reserved_size + 1, because the first element is not used (to
+ allow using the same index in both indexes[] and data[] instead of
+ adding 1 to access data[]).
+ */
+ data_type* data;
+
+ //! The number of nodes in the complete tree.
+ /*!
+ It is one less than a power of 2.
+ If this is 0, data and indexes are set to NULL.
+ */
+ dimension_type reserved_size;
+
+ //! The number of values stored in the tree.
+ dimension_type size_;
+};
+
+class CO_Tree::tree_iterator {
+
+public:
+
+ /*!
+ \brief Constructs a tree_iterator pointing at the root node of the
+ specified tree
+
+ \param tree
+ The tree to which the new %iterator will point to.
+ It must not be empty.
+ */
+ explicit tree_iterator(CO_Tree& tree);
+
+ //! Constructs a tree_iterator pointing at the specified node of the tree.
+ /*!
+ \param tree
+ The tree to which the new %iterator will point to.
+ It must not be empty.
+
+ \param i
+ The index of the element in \p tree to which the new %iterator will point
+ to.
+ */
+ tree_iterator(CO_Tree& tree, dimension_type i);
+
+ //! Constructs a tree_iterator from an iterator.
+ /*!
+ \param itr
+ The iterator that will be converted into a tree_iterator.
+ It must not be end().
+
+ \param tree
+ The tree to which the new %iterator will point to.
+ It must not be empty.
+ */
+ tree_iterator(const iterator& itr, CO_Tree& tree);
+
+ //! The assignment operator.
+ /*!
+ \param itr
+ The %iterator that will be assigned into *this.
+ */
+ tree_iterator& operator=(const tree_iterator& itr);
+
+ //! The assignment operator from an iterator.
+ /*!
+ \param itr
+ The iterator that will be assigned into *this.
+ */
+ tree_iterator& operator=(const iterator& itr);
+
+ //! Compares *this with \p itr.
+ /*!
+ \param itr
+ The %iterator that will compared with *this.
+ */
+ bool operator==(const tree_iterator& itr) const;
+
+ //! Compares *this with \p itr.
+ /*!
+ \param itr
+ The %iterator that will compared with *this.
+ */
+ bool operator!=(const tree_iterator& itr) const;
+
+ //! Makes the %iterator point to the root of \p tree.
+ /*!
+ The values of all fields (beside tree) are overwritten.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void get_root();
+
+ //! Makes the %iterator point to the left child of the current node.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ void get_left_child();
+
+ //! Makes the %iterator point to the right child of the current node.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ void get_right_child();
+
+ //! Makes the %iterator point to the parent of the current node.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ void get_parent();
+
+ /*!
+ \brief Searches for an element with key \p key in the subtree rooted at
+ \p *this.
+
+ \param key
+ The searched for key.
+
+ After this method, *this points to the found node (if it exists) or to
+ the node that would be his parent (otherwise).
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ void go_down_searching_key(dimension_type key);
+
+ /*!
+ \brief Follows left children with a value, until it arrives at a leaf or at
+ a node with no value.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void follow_left_children_with_value();
+
+ /*!
+ \brief Follows right children with a value, until it arrives at a leaf or at
+ a node with no value.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void follow_right_children_with_value();
+
+ //! Returns true if the pointed node is the root node.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ bool is_root() const;
+
+ //! Returns true if the pointed node has a parent and is its right child.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ bool is_right_child() const;
+
+ //! Returns true if the pointed node is a leaf of the complete tree.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ bool is_leaf() const;
+
+ //! Returns the key and value of the current node.
+ data_type& operator*();
+
+ //! Returns the key and value of the current node.
+ Coefficient_traits::const_reference operator*() const;
+
+ //! Returns a reference to the index of the element pointed to by \c *this.
+ /*!
+ \returns a reference to the index of the element pointed to by \c *this.
+ */
+ dimension_type& index();
+
+ //! Returns the index of the element pointed to by \c *this.
+ /*!
+ \returns the index of the element pointed to by \c *this.
+ */
+ dimension_type index() const;
+
+ //! Returns the index of the node pointed to by \c *this.
+ /*!
+ \returns the key of the node pointed to by \c *this, or unused_index if
+ the current node does not contain a valid element.
+ */
+ dimension_type key() const;
+
+ //! The tree containing the element pointed to by this %iterator.
+ CO_Tree& tree;
+
+ /*!
+ \brief Returns the index of the current node in the DFS layout of the
+ complete tree.
+ */
+ dimension_type dfs_index() const;
+
+ /*!
+ \brief Returns 2^h, with h the height of the current node in the tree,
+ counting from 0.
+
+ Thus leaves have offset 1.
+ This is faster than depth(), so it is useful to compare node depths.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ dimension_type get_offset() const;
+
+ //! Returns the depth of the current node in the complete tree.
+ /*!
+ This method takes \f$O(\log n)\f$ time.
+ */
+ height_t depth() const;
+
+private:
+ //! Checks the internal invariant.
+ bool OK() const;
+
+ //! The index of the current node in the DFS layout of the complete tree.
+ dimension_type i;
+
+ /*!
+ \brief This is 2^h, with h the height of the current node in the tree,
+ counting from 0.
+
+ Thus leaves have offset 1.
+ This is equal to (i & -i), and is only stored to increase performance.
+ */
+ dimension_type offset;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates CO_Tree */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(CO_Tree& x, CO_Tree& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates CO_Tree::const_iterator */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(CO_Tree::const_iterator& x, CO_Tree::const_iterator& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates CO_Tree::iterator */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(CO_Tree::iterator& x, CO_Tree::iterator& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "CO_Tree_inlines.hh"
+#include "CO_Tree_templates.hh"
+
+#endif // !defined(PPL_CO_Tree_defs_hh)
diff --git a/src/CO_Tree_inlines.hh b/src/CO_Tree_inlines.hh
new file mode 100644
index 0000000..64bde57
--- /dev/null
+++ b/src/CO_Tree_inlines.hh
@@ -0,0 +1,868 @@
+/* CO_Tree class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_CO_Tree_inlines_hh
+#define PPL_CO_Tree_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline dimension_type
+CO_Tree::dfs_index(const_iterator itr) const {
+ PPL_ASSERT(itr.current_index != 0);
+ PPL_ASSERT(itr.current_index >= indexes + 1);
+ PPL_ASSERT(itr.current_index <= indexes + reserved_size);
+ const ptrdiff_t index = itr.current_index - indexes;
+ return static_cast<dimension_type>(index);
+}
+
+inline dimension_type
+CO_Tree::dfs_index(iterator itr) const {
+ PPL_ASSERT(itr.current_index != 0);
+ PPL_ASSERT(itr.current_index >= indexes + 1);
+ PPL_ASSERT(itr.current_index <= indexes + reserved_size);
+ const ptrdiff_t index = itr.current_index - indexes;
+ return static_cast<dimension_type>(index);
+}
+
+inline
+CO_Tree::CO_Tree() {
+ init(0);
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::CO_Tree(const CO_Tree& y) {
+ PPL_ASSERT(y.OK());
+ data_allocator = y.data_allocator;
+ init(y.reserved_size);
+ copy_data_from(y);
+}
+
+inline CO_Tree&
+CO_Tree::operator=(const CO_Tree& y) {
+ if (this != &y) {
+ destroy();
+ data_allocator = y.data_allocator;
+ init(y.reserved_size);
+ copy_data_from(y);
+ }
+ return *this;
+}
+
+inline void
+CO_Tree::clear() {
+ *this = CO_Tree();
+}
+
+inline
+CO_Tree::~CO_Tree() {
+
+ destroy();
+}
+
+inline bool
+CO_Tree::empty() const {
+ return size_ == 0;
+}
+
+inline dimension_type
+CO_Tree::size() const {
+ return size_;
+}
+
+inline dimension_type
+CO_Tree::max_size() {
+ return C_Integer<dimension_type>::max/100;
+}
+
+inline void
+CO_Tree::dump_tree() const {
+ if (empty())
+ std::cout << "(empty tree)" << std::endl;
+ else
+ dump_subtree(tree_iterator(*const_cast<CO_Tree*>(this)));
+}
+
+inline CO_Tree::iterator
+CO_Tree::insert(const dimension_type key) {
+ if (empty())
+ return insert(key, Coefficient_zero());
+ else {
+ tree_iterator itr(*this);
+ itr.go_down_searching_key(key);
+ if (itr.index() == key)
+ return iterator(itr);
+ else
+ return iterator(insert_precise(key, Coefficient_zero(), itr));
+ }
+}
+
+inline CO_Tree::iterator
+CO_Tree::insert(dimension_type key, data_type_const_reference data1) {
+ if (empty()) {
+ insert_in_empty_tree(key, data1);
+ tree_iterator itr(*this);
+ PPL_ASSERT(itr.index() != unused_index);
+ return iterator(itr);
+ }
+ else {
+ tree_iterator itr(*this);
+ itr.go_down_searching_key(key);
+ return iterator(insert_precise(key, data1, itr));
+ }
+}
+
+inline CO_Tree::iterator
+CO_Tree::erase(dimension_type key) {
+ PPL_ASSERT(key != unused_index);
+
+ if (empty())
+ return end();
+
+ tree_iterator itr(*this);
+ itr.go_down_searching_key(key);
+
+ if (itr.index() == key)
+ return erase(itr);
+
+ iterator result(itr);
+ if (result.index() < key)
+ ++result;
+
+ PPL_ASSERT(result == end() || result.index() > key);
+#ifndef NDEBUG
+ iterator last = end();
+ --last;
+ PPL_ASSERT((result == end()) == (last.index() < key));
+#endif
+
+ return result;
+}
+
+inline CO_Tree::iterator
+CO_Tree::erase(iterator itr) {
+ PPL_ASSERT(itr != end());
+ return erase(tree_iterator(itr, *this));
+}
+
+inline void
+CO_Tree::m_swap(CO_Tree& x) {
+ using std::swap;
+ swap(max_depth, x.max_depth);
+ swap(indexes, x.indexes);
+ swap(data_allocator, x.data_allocator);
+ swap(data, x.data);
+ swap(reserved_size, x.reserved_size);
+ swap(size_, x.size_);
+ // Cached iterators have been invalidated by the swap,
+ // they must be refreshed here.
+ refresh_cached_iterators();
+ x.refresh_cached_iterators();
+ PPL_ASSERT(structure_OK());
+ PPL_ASSERT(x.structure_OK());
+}
+
+inline CO_Tree::iterator
+CO_Tree::begin() {
+ return iterator(*this);
+}
+
+inline const CO_Tree::iterator&
+CO_Tree::end() {
+ return cached_end;
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::begin() const {
+ return const_iterator(*this);
+}
+
+inline const CO_Tree::const_iterator&
+CO_Tree::end() const {
+ return cached_const_end;
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::cbegin() const {
+ return const_iterator(*this);
+}
+
+inline const CO_Tree::const_iterator&
+CO_Tree::cend() const {
+ return cached_const_end;
+}
+
+inline CO_Tree::iterator
+CO_Tree::bisect(dimension_type key) {
+ if (empty())
+ return end();
+ iterator last = end();
+ --last;
+ return bisect_in(begin(), last, key);
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::bisect(dimension_type key) const {
+ if (empty())
+ return end();
+ const_iterator last = end();
+ --last;
+ return bisect_in(begin(), last, key);
+}
+
+inline CO_Tree::iterator
+CO_Tree::bisect_in(iterator first, iterator last, dimension_type key) {
+ PPL_ASSERT(first != end());
+ PPL_ASSERT(last != end());
+ const dimension_type index
+ = bisect_in(dfs_index(first), dfs_index(last), key);
+ return iterator(*this, index);
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::bisect_in(const_iterator first, const_iterator last,
+ dimension_type key) const {
+ PPL_ASSERT(first != end());
+ PPL_ASSERT(last != end());
+ const dimension_type index
+ = bisect_in(dfs_index(first), dfs_index(last), key);
+ return const_iterator(*this, index);
+}
+
+inline CO_Tree::iterator
+CO_Tree::bisect_near(iterator hint, dimension_type key) {
+ if (hint == end())
+ return bisect(key);
+ const dimension_type index
+ = bisect_near(dfs_index(hint), key);
+ return iterator(*this, index);
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::bisect_near(const_iterator hint, dimension_type key) const {
+ if (hint == end())
+ return bisect(key);
+ const dimension_type index = bisect_near(dfs_index(hint), key);
+ return const_iterator(*this, index);
+}
+
+inline void
+CO_Tree::fast_shift(dimension_type i, iterator itr) {
+ PPL_ASSERT(itr != end());
+ PPL_ASSERT(i <= itr.index());
+ indexes[dfs_index(itr)] = i;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::insert_in_empty_tree(dimension_type key,
+ data_type_const_reference data1) {
+ PPL_ASSERT(empty());
+ rebuild_bigger_tree();
+ tree_iterator itr(*this);
+ PPL_ASSERT(itr.index() == unused_index);
+ new (&(*itr)) data_type(data1);
+ // Set the index afterwards, so that if the constructor above throws
+ // the tree's structure is consistent.
+ itr.index() = key;
+ ++size_;
+
+ PPL_ASSERT(OK());
+}
+
+inline bool
+CO_Tree::is_less_than_ratio(dimension_type numer, dimension_type denom,
+ dimension_type ratio) {
+ PPL_ASSERT(ratio <= 100);
+ // If these are true, no overflows are possible.
+ PPL_ASSERT(denom <= unused_index/100);
+ PPL_ASSERT(numer <= unused_index/100);
+ return 100*numer < ratio*denom;
+}
+
+inline bool
+CO_Tree::is_greater_than_ratio(dimension_type numer, dimension_type denom,
+ dimension_type ratio) {
+ PPL_ASSERT(ratio <= 100);
+ // If these are true, no overflows are possible.
+ PPL_ASSERT(denom <= unused_index/100);
+ PPL_ASSERT(numer <= unused_index/100);
+ return 100*numer > ratio*denom;
+}
+
+inline void
+CO_Tree::rebuild_smaller_tree() {
+ PPL_ASSERT(reserved_size > 3);
+ CO_Tree new_tree;
+ new_tree.init(reserved_size / 2);
+ new_tree.move_data_from(*this);
+ m_swap(new_tree);
+ PPL_ASSERT(new_tree.structure_OK());
+ PPL_ASSERT(structure_OK());
+}
+
+inline void
+CO_Tree::refresh_cached_iterators() {
+ cached_end = iterator(*this, reserved_size + 1);
+ cached_const_end = const_iterator(*this, reserved_size + 1);
+}
+
+inline void
+CO_Tree::move_data_element(data_type& to, data_type& from) {
+ // The following code is equivalent (but slower):
+ //
+ // <CODE>
+ // new (&to) data_type(from);
+ // from.~data_type();
+ // </CODE>
+ std::memcpy(&to, &from, sizeof(data_type));
+}
+
+
+inline
+CO_Tree::const_iterator::const_iterator()
+ : current_index(0), current_data(0) {
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = 0;
+#endif
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::const_iterator::const_iterator(const CO_Tree& tree1)
+ : current_index(&(tree1.indexes[1])), current_data(&(tree1.data[1])) {
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = &tree1;
+#endif
+ if (!tree1.empty())
+ while (*current_index == unused_index) {
+ ++current_index;
+ ++current_data;
+ }
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::const_iterator::const_iterator(const CO_Tree& tree1,
+ dimension_type i)
+ : current_index(&(tree1.indexes[i])), current_data(&(tree1.data[i])) {
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = &tree1;
+#endif
+ PPL_ASSERT(i != 0);
+ PPL_ASSERT(i <= tree1.reserved_size + 1);
+ PPL_ASSERT(tree1.empty() || tree1.indexes[i] != unused_index);
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::const_iterator::const_iterator(const const_iterator& itr2) {
+ (*this) = itr2;
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::const_iterator::const_iterator(const iterator& itr2) {
+ (*this) = itr2;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::const_iterator::m_swap(const_iterator& itr) {
+ using std::swap;
+ swap(current_data, itr.current_data);
+ swap(current_index, itr.current_index);
+#if PPL_CO_TREE_EXTRA_DEBUG
+ swap(tree, itr.tree);
+#endif
+ PPL_ASSERT(OK());
+ PPL_ASSERT(itr.OK());
+}
+
+inline CO_Tree::const_iterator&
+CO_Tree::const_iterator::operator=(const const_iterator& itr2) {
+ current_index = itr2.current_index;
+ current_data = itr2.current_data;
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = itr2.tree;
+#endif
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::const_iterator&
+CO_Tree::const_iterator::operator=(const iterator& itr2) {
+ current_index = itr2.current_index;
+ current_data = itr2.current_data;
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = itr2.tree;
+#endif
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::const_iterator&
+CO_Tree::const_iterator::operator++() {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ ++current_index;
+ ++current_data;
+ while (*current_index == unused_index) {
+ ++current_index;
+ ++current_data;
+ }
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::const_iterator&
+CO_Tree::const_iterator::operator--() {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ --current_index;
+ --current_data;
+ while (*current_index == unused_index) {
+ --current_index;
+ --current_data;
+ }
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::const_iterator::operator++(int) {
+ const_iterator itr(*this);
+ ++(*this);
+ return itr;
+}
+
+inline CO_Tree::const_iterator
+CO_Tree::const_iterator::operator--(int) {
+ const_iterator itr(*this);
+ --(*this);
+ return itr;
+}
+
+inline Coefficient_traits::const_reference
+CO_Tree::const_iterator::operator*() const {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ PPL_ASSERT(OK());
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ return *current_data;
+}
+
+inline dimension_type
+CO_Tree::const_iterator::index() const {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ PPL_ASSERT(OK());
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ return *current_index;
+}
+
+inline bool
+CO_Tree::const_iterator::operator==(const const_iterator& x) const {
+ PPL_ASSERT((current_index == x.current_index)
+ == (current_data == x.current_data));
+ PPL_ASSERT(OK());
+ return (current_index == x.current_index);
+}
+
+inline bool
+CO_Tree::const_iterator::operator!=(const const_iterator& x) const {
+ return !(*this == x);
+}
+
+
+inline
+CO_Tree::iterator::iterator()
+ : current_index(0), current_data(0) {
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = 0;
+#endif
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::iterator::iterator(CO_Tree& tree1)
+ : current_index(&(tree1.indexes[1])), current_data(&(tree1.data[1])) {
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = &tree1;
+#endif
+ if (!tree1.empty())
+ while (*current_index == unused_index) {
+ ++current_index;
+ ++current_data;
+ }
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::iterator::iterator(CO_Tree& tree1, dimension_type i)
+ : current_index(&(tree1.indexes[i])), current_data(&(tree1.data[i])) {
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = &tree1;
+#endif
+ PPL_ASSERT(i != 0);
+ PPL_ASSERT(i <= tree1.reserved_size + 1);
+ PPL_ASSERT(tree1.empty() || tree1.indexes[i] != unused_index);
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::iterator::iterator(const tree_iterator& itr) {
+ *this = itr;
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::iterator::iterator(const iterator& itr2) {
+ (*this) = itr2;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::iterator::m_swap(iterator& itr) {
+ using std::swap;
+ swap(current_data, itr.current_data);
+ swap(current_index, itr.current_index);
+#if PPL_CO_TREE_EXTRA_DEBUG
+ swap(tree, itr.tree);
+#endif
+ PPL_ASSERT(OK());
+ PPL_ASSERT(itr.OK());
+}
+
+inline CO_Tree::iterator&
+CO_Tree::iterator::operator=(const tree_iterator& itr) {
+ current_index = &(itr.tree.indexes[itr.dfs_index()]);
+ current_data = &(itr.tree.data[itr.dfs_index()]);
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = &(itr.tree);
+#endif
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::iterator&
+CO_Tree::iterator::operator=(const iterator& itr2) {
+ current_index = itr2.current_index;
+ current_data = itr2.current_data;
+#if PPL_CO_TREE_EXTRA_DEBUG
+ tree = itr2.tree;
+#endif
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::iterator&
+CO_Tree::iterator::operator++() {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ ++current_index;
+ ++current_data;
+ while (*current_index == unused_index) {
+ ++current_index;
+ ++current_data;
+ }
+
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::iterator&
+CO_Tree::iterator::operator--() {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ --current_index;
+ --current_data;
+ while (*current_index == unused_index) {
+ --current_index;
+ --current_data;
+ }
+
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline CO_Tree::iterator
+CO_Tree::iterator::operator++(int) {
+ iterator itr(*this);
+ ++(*this);
+ return itr;
+}
+
+inline CO_Tree::iterator
+CO_Tree::iterator::operator--(int) {
+ iterator itr(*this);
+ --(*this);
+ return itr;
+}
+
+inline CO_Tree::data_type&
+CO_Tree::iterator::operator*() {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ PPL_ASSERT(OK());
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ return *current_data;
+}
+
+inline Coefficient_traits::const_reference
+CO_Tree::iterator::operator*() const {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ PPL_ASSERT(OK());
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ return *current_data;
+}
+
+inline dimension_type
+CO_Tree::iterator::index() const {
+ PPL_ASSERT(current_index != 0);
+ PPL_ASSERT(current_data != 0);
+ PPL_ASSERT(OK());
+#if PPL_CO_TREE_EXTRA_DEBUG
+ PPL_ASSERT(current_index != &(tree->indexes[tree->reserved_size + 1]));
+#endif
+ return *current_index;
+}
+
+inline bool
+CO_Tree::iterator::operator==(const iterator& x) const {
+ PPL_ASSERT((current_index == x.current_index)
+ == (current_data == x.current_data));
+ PPL_ASSERT(OK());
+ return (current_index == x.current_index);
+}
+
+inline bool
+CO_Tree::iterator::operator!=(const iterator& x) const {
+ return !(*this == x);
+}
+
+
+inline
+CO_Tree::tree_iterator::tree_iterator(CO_Tree& tree1)
+ : tree(tree1) {
+ PPL_ASSERT(tree.reserved_size != 0);
+ get_root();
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::tree_iterator::tree_iterator(CO_Tree& tree1, dimension_type i1)
+ : tree(tree1) {
+ PPL_ASSERT(tree.reserved_size != 0);
+ PPL_ASSERT(i1 <= tree.reserved_size + 1);
+ i = i1;
+ offset = least_significant_one_mask(i);
+ PPL_ASSERT(OK());
+}
+
+inline
+CO_Tree::tree_iterator::tree_iterator(const iterator& itr, CO_Tree& tree1)
+ : tree(tree1) {
+ PPL_ASSERT(tree.reserved_size != 0);
+ *this = itr;
+ PPL_ASSERT(OK());
+}
+
+inline CO_Tree::tree_iterator&
+CO_Tree::tree_iterator::operator=(const tree_iterator& itr) {
+ PPL_ASSERT(&tree == &(itr.tree));
+ i = itr.i;
+ offset = itr.offset;
+ return *this;
+}
+
+inline CO_Tree::tree_iterator&
+CO_Tree::tree_iterator::operator=(const iterator& itr) {
+ PPL_ASSERT(itr != tree.end());
+ i = tree.dfs_index(itr);
+ offset = least_significant_one_mask(i);
+ return *this;
+}
+
+inline bool
+CO_Tree::tree_iterator::operator==(const tree_iterator& itr) const {
+ return i == itr.i;
+}
+
+inline bool
+CO_Tree::tree_iterator::operator!=(const tree_iterator& itr) const {
+ return !(*this == itr);
+}
+
+inline void
+CO_Tree::tree_iterator::get_root() {
+ i = tree.reserved_size / 2 + 1;
+ offset = i;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::tree_iterator::get_left_child() {
+ PPL_ASSERT(offset != 0);
+ PPL_ASSERT(offset != 1);
+ offset /= 2;
+ i -= offset;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::tree_iterator::get_right_child() {
+ PPL_ASSERT(offset != 0);
+ PPL_ASSERT(offset != 1);
+ offset /= 2;
+ i += offset;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::tree_iterator::get_parent() {
+ PPL_ASSERT(!is_root());
+ PPL_ASSERT(offset != 0);
+ i &= ~offset;
+ offset *= 2;
+ i |= offset;
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::tree_iterator::follow_left_children_with_value() {
+ PPL_ASSERT(index() != unused_index);
+ const dimension_type* p = tree.indexes;
+ p += i;
+ p -= (offset - 1);
+ while (*p == unused_index)
+ ++p;
+ const ptrdiff_t distance = p - tree.indexes;
+ PPL_ASSERT(distance >= 0);
+ i = static_cast<dimension_type>(distance);
+ offset = least_significant_one_mask(i);
+ PPL_ASSERT(OK());
+}
+
+inline void
+CO_Tree::tree_iterator::follow_right_children_with_value() {
+ PPL_ASSERT(index() != unused_index);
+ const dimension_type* p = tree.indexes;
+ p += i;
+ p += (offset - 1);
+ while (*p == unused_index)
+ --p;
+ const ptrdiff_t distance = p - tree.indexes;
+ PPL_ASSERT(distance >= 0);
+ i = static_cast<dimension_type>(distance);
+ offset = least_significant_one_mask(i);
+ PPL_ASSERT(OK());
+}
+
+inline bool
+CO_Tree::tree_iterator::is_root() const {
+ // This is implied by OK(), it is here for reference only.
+ PPL_ASSERT(offset <= (tree.reserved_size / 2 + 1));
+ return offset == (tree.reserved_size / 2 + 1);
+}
+
+inline bool
+CO_Tree::tree_iterator::is_right_child() const {
+ if (is_root())
+ return false;
+ return (i & (2*offset)) != 0;
+}
+
+inline bool
+CO_Tree::tree_iterator::is_leaf() const {
+ return offset == 1;
+}
+
+inline CO_Tree::data_type&
+CO_Tree::tree_iterator::operator*() {
+ return tree.data[i];
+}
+
+inline Coefficient_traits::const_reference
+CO_Tree::tree_iterator::operator*() const {
+ return tree.data[i];
+}
+
+inline dimension_type&
+CO_Tree::tree_iterator::index() {
+ return tree.indexes[i];
+}
+
+inline dimension_type
+CO_Tree::tree_iterator::index() const {
+ return tree.indexes[i];
+}
+
+inline dimension_type
+CO_Tree::tree_iterator::dfs_index() const {
+ return i;
+}
+
+inline dimension_type
+CO_Tree::tree_iterator::get_offset() const {
+ return offset;
+}
+
+inline CO_Tree::height_t
+CO_Tree::tree_iterator::depth() const {
+ return integer_log2((tree.reserved_size + 1) / offset);
+}
+
+inline void
+swap(CO_Tree& x, CO_Tree& y) {
+ x.m_swap(y);
+}
+
+inline void
+swap(CO_Tree::const_iterator& x, CO_Tree::const_iterator& y) {
+ x.m_swap(y);
+}
+
+inline void
+swap(CO_Tree::iterator& x, CO_Tree::iterator& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_CO_Tree_inlines_hh)
diff --git a/src/CO_Tree_templates.hh b/src/CO_Tree_templates.hh
new file mode 100644
index 0000000..41957f8
--- /dev/null
+++ b/src/CO_Tree_templates.hh
@@ -0,0 +1,141 @@
+/* CO_Tree class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_CO_Tree_templates_hh
+#define PPL_CO_Tree_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Iterator>
+CO_Tree::CO_Tree(Iterator i, dimension_type n) {
+
+ if (n == 0) {
+ init(0);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ const dimension_type new_max_depth = integer_log2(n) + 1;
+ reserved_size = (static_cast<dimension_type>(1) << new_max_depth) - 1;
+
+ if (is_greater_than_ratio(n, reserved_size, max_density_percent)
+ && reserved_size != 3)
+ reserved_size = reserved_size*2 + 1;
+
+ init(reserved_size);
+
+ tree_iterator root(*this);
+
+ // This is static and with static allocation, to improve performance.
+ // sizeof_to_bits(sizeof(dimension_type)) is the maximum k such that
+ // 2^k-1 is a dimension_type, so it is the maximum tree height.
+ // For each node level, the stack may contain up to 4 elements: two elements
+ // with operation 0, one element with operation 2 and one element
+ // with operation 3. An additional element with operation 1 can be at the
+ // top of the tree.
+ static std::pair<dimension_type, signed char>
+ stack[4U * sizeof_to_bits(sizeof(dimension_type)) + 1U];
+
+ dimension_type stack_first_empty = 0;
+
+ // A pair (n, operation) in the stack means:
+ //
+ // * Go to the parent, if operation is 0.
+ // * Go to the left child, then fill the current tree with n elements, if
+ // operation is 1.
+ // * Go to the right child, then fill the current tree with n elements, if
+ // operation is 2.
+ // * Fill the current tree with n elements, if operation is 3.
+
+ stack[0].first = n;
+ stack[0].second = 3;
+ ++stack_first_empty;
+
+ while (stack_first_empty != 0) {
+
+ // Implement
+ //
+ // <CODE>
+ // top_n = stack.top().first;
+ // top_operation = stack.top().second;
+ // </CODE>
+ const dimension_type top_n = stack[stack_first_empty - 1].first;
+ const signed char top_operation = stack[stack_first_empty - 1].second;
+
+ switch (top_operation) {
+
+ case 0:
+ root.get_parent();
+ --stack_first_empty;
+ continue;
+
+ case 1:
+ root.get_left_child();
+ break;
+
+ case 2:
+ root.get_right_child();
+ break;
+#ifndef NDEBUG
+ case 3:
+ break;
+
+ default:
+ // We should not be here
+ PPL_UNREACHABLE;
+#endif
+ }
+
+ // We now visit the current tree
+
+ if (top_n == 0) {
+ --stack_first_empty;
+ }
+ else {
+ if (top_n == 1) {
+ PPL_ASSERT(root.index() == unused_index);
+ root.index() = i.index();
+ new (&(*root)) data_type(*i);
+ ++i;
+ --stack_first_empty;
+ }
+ else {
+ PPL_ASSERT(stack_first_empty + 3 < sizeof(stack)/sizeof(stack[0]));
+
+ const dimension_type half = (top_n + 1) / 2;
+ stack[stack_first_empty - 1].second = 0;
+ stack[stack_first_empty ] = std::make_pair(top_n - half, 2);
+ stack[stack_first_empty + 1] = std::make_pair(1, 3);
+ stack[stack_first_empty + 2].second = 0;
+ stack[stack_first_empty + 3] = std::make_pair(half - 1, 1);
+ stack_first_empty += 4;
+ }
+ }
+ }
+ size_ = n;
+ PPL_ASSERT(OK());
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_CO_Tree_templates_hh)
diff --git a/src/CO_Tree_types.hh b/src/CO_Tree_types.hh
new file mode 100644
index 0000000..c9b36f2
--- /dev/null
+++ b/src/CO_Tree_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_CO_Tree_types_hh
+#define PPL_CO_Tree_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class CO_Tree;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_CO_Tree_types_hh)
diff --git a/src/C_Integer.hh b/src/C_Integer.hh
index 4777e0a..a026f86 100644
--- a/src/C_Integer.hh
+++ b/src/C_Integer.hh
@@ -1,6 +1,6 @@
/* C integers info.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -84,29 +84,35 @@ struct C_Integer<char> : public True {
template <>
struct C_Integer<signed char> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef void smaller_type;
typedef void smaller_signed_type;
typedef void smaller_unsigned_type;
typedef unsigned char other_type;
- static const signed char min = SCHAR_MIN;
- static const signed char max = SCHAR_MAX;
+ static const signed char min = static_cast<signed char>(SCHAR_MIN);
+ static const signed char max = static_cast<signed char>(SCHAR_MAX);
};
template <>
struct C_Integer<signed short> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed char smaller_type;
typedef signed char smaller_signed_type;
typedef unsigned char smaller_unsigned_type;
typedef unsigned short other_type;
- static const signed short min = SHRT_MIN;
- static const signed short max = SHRT_MAX;
+ static const signed short min = static_cast<signed short>(SHRT_MIN);
+ static const signed short max = static_cast<signed short>(SHRT_MAX);
};
template <>
struct C_Integer<signed int> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed short smaller_type;
typedef signed short smaller_signed_type;
typedef unsigned short smaller_unsigned_type;
@@ -117,7 +123,9 @@ struct C_Integer<signed int> : public True {
template <>
struct C_Integer<signed long> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed int smaller_type;
typedef signed int smaller_signed_type;
typedef unsigned int smaller_unsigned_type;
@@ -128,7 +136,9 @@ struct C_Integer<signed long> : public True {
template <>
struct C_Integer<signed long long> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed long smaller_type;
typedef signed long smaller_signed_type;
typedef unsigned long smaller_unsigned_type;
@@ -139,57 +149,67 @@ struct C_Integer<signed long long> : public True {
template <>
struct C_Integer<unsigned char> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef void smaller_type;
typedef void smaller_signed_type;
typedef void smaller_unsigned_type;
typedef signed char other_type;
- static const unsigned char min = 0U;
- static const unsigned char max = static_cast<unsigned char>(~0U);
+ static const unsigned char min = static_cast<unsigned char>(0U);
+ static const unsigned char max = static_cast<unsigned char>(UCHAR_MAX);
};
template <>
struct C_Integer<unsigned short> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned char smaller_type;
typedef signed char smaller_signed_type;
typedef unsigned char smaller_unsigned_type;
typedef signed short other_type;
- static const unsigned short min = 0U;
- static const unsigned short max = static_cast<unsigned short>(~0U);
+ static const unsigned short min = static_cast<unsigned short>(0U);
+ static const unsigned short max = static_cast<unsigned short>(USHRT_MAX);
};
template <>
struct C_Integer<unsigned int> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned short smaller_type;
typedef signed short smaller_signed_type;
typedef unsigned short smaller_unsigned_type;
typedef signed int other_type;
static const unsigned int min = 0U;
- static const unsigned int max = ~0U;
+ static const unsigned int max = UINT_MAX;
};
template <>
struct C_Integer<unsigned long> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned int smaller_type;
typedef signed int smaller_signed_type;
typedef unsigned int smaller_unsigned_type;
typedef signed long other_type;
static const unsigned long min = 0UL;
- static const unsigned long max = ~0UL;
+ static const unsigned long max = ULONG_MAX;
};
template <>
struct C_Integer<unsigned long long> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned long smaller_type;
typedef signed long smaller_signed_type;
typedef unsigned long smaller_unsigned_type;
typedef signed long long other_type;
static const unsigned long long min = 0ULL;
- static const unsigned long long max = ~0ULL;
+ static const unsigned long long max = ULLONG_MAX;
};
} // namespace Parma_Polyhedra_Library
diff --git a/src/C_Polyhedron.cc b/src/C_Polyhedron.cc
index 32bb65d..20cfa14 100644
--- a/src/C_Polyhedron.cc
+++ b/src/C_Polyhedron.cc
@@ -1,6 +1,6 @@
/* C_Polyhedron class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,9 +22,9 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include "Grid.defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Grid_defs.hh"
#include "algorithms.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -33,9 +33,14 @@ PPL::C_Polyhedron::C_Polyhedron(const NNC_Polyhedron& y, Complexity_Class)
: Polyhedron(NECESSARILY_CLOSED, y.space_dimension(), UNIVERSE) {
const Constraint_System& cs = y.constraints();
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
const Constraint& c = *i;
- add_constraint(c.is_strict_inequality() ? (Linear_Expression(c) >= 0) : c);
+ if (c.is_strict_inequality()) {
+ const Linear_Expression expr(c.expression());
+ add_constraint(expr >= 0);
+ }
+ else
+ add_constraint(c);
}
PPL_ASSERT_HEAVY(OK());
}
@@ -48,7 +53,7 @@ PPL::C_Polyhedron::C_Polyhedron(const Congruence_System& cgs)
"the space dimension of cgs "
"exceeds the maximum allowed "
"space dimension"),
- UNIVERSE) {
+ UNIVERSE) {
add_congruences(cgs);
}
@@ -60,7 +65,7 @@ PPL::C_Polyhedron::C_Polyhedron(Congruence_System& cgs, Recycle_Input)
"the space dimension of cgs "
"exceeds the maximum allowed "
"space dimension"),
- UNIVERSE) {
+ UNIVERSE) {
add_congruences(cgs);
}
@@ -72,7 +77,7 @@ PPL::C_Polyhedron::C_Polyhedron(const Grid& grid, Complexity_Class)
"the space dimension of grid "
"exceeds the maximum allowed "
"space dimension"),
- UNIVERSE) {
+ UNIVERSE) {
add_constraints(grid.constraints());
}
diff --git a/src/C_Polyhedron.defs.hh b/src/C_Polyhedron.defs.hh
deleted file mode 100644
index e18579e..0000000
--- a/src/C_Polyhedron.defs.hh
+++ /dev/null
@@ -1,280 +0,0 @@
-/* C_Polyhedron class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_C_Polyhedron_defs_hh
-#define PPL_C_Polyhedron_defs_hh 1
-
-#include "C_Polyhedron.types.hh"
-#include "NNC_Polyhedron.types.hh"
-#include "Polyhedron.defs.hh"
-#include "Grid.types.hh"
-#include "BD_Shape.types.hh"
-#include "Octagonal_Shape.types.hh"
-
-//! A closed convex polyhedron.
-/*! \ingroup PPL_CXX_interface
- An object of the class C_Polyhedron represents a
- <EM>topologically closed</EM> convex polyhedron
- in the vector space \f$\Rset^n\f$.
-
- When building a closed polyhedron starting from
- a system of constraints, an exception is thrown if the system
- contains a <EM>strict inequality</EM> constraint.
- Similarly, an exception is thrown when building a closed polyhedron
- starting from a system of generators containing a <EM>closure point</EM>.
-
- \note
- Such an exception will be obtained even if the system of
- constraints (resp., generators) actually defines
- a topologically closed subset of the vector space, i.e.,
- even if all the strict inequalities (resp., closure points)
- in the system happen to be redundant with respect to the
- system obtained by removing all the strict inequality constraints
- (resp., all the closure points).
- In contrast, when building a closed polyhedron starting from
- an object of the class NNC_Polyhedron,
- the precise topological closure test will be performed.
-*/
-
-class Parma_Polyhedra_Library::C_Polyhedron : public Polyhedron {
-public:
- //! Builds either the universe or the empty C polyhedron.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the C polyhedron;
-
- \param kind
- Specifies whether a universe or an empty C polyhedron should be built.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space dimension.
-
- Both parameters are optional:
- by default, a 0-dimension space universe C polyhedron is built.
- */
- explicit C_Polyhedron(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Builds a C polyhedron from a system of constraints.
- /*!
- The polyhedron inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints defining the polyhedron.
-
- \exception std::invalid_argument
- Thrown if the system of constraints contains strict inequalities.
- */
- explicit C_Polyhedron(const Constraint_System& cs);
-
- //! Builds a C polyhedron recycling a system of constraints.
- /*!
- The polyhedron inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the system of constraints contains strict inequalities.
- */
- C_Polyhedron(Constraint_System& cs, Recycle_Input dummy);
-
- //! Builds a C polyhedron from a system of generators.
- /*!
- The polyhedron inherits the space dimension of the generator system.
-
- \param gs
- The system of generators defining the polyhedron.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points,
- or if it contains closure points.
- */
- explicit C_Polyhedron(const Generator_System& gs);
-
- //! Builds a C polyhedron recycling a system of generators.
- /*!
- The polyhedron inherits the space dimension of the generator system.
-
- \param gs
- The system of generators defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points,
- or if it contains closure points.
- */
- C_Polyhedron(Generator_System& gs, Recycle_Input dummy);
-
- //! Builds a C polyhedron from a system of congruences.
- /*!
- The polyhedron inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences defining the polyhedron.
- */
- explicit C_Polyhedron(const Congruence_System& cgs);
-
- //! Builds a C polyhedron recycling a system of congruences.
- /*!
- The polyhedron inherits the space dimension of the congruence
- system.
-
- \param cgs
- The system of congruences defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
- */
- C_Polyhedron(Congruence_System& cgs, Recycle_Input dummy);
-
- /*! \brief
- Builds a C polyhedron representing the topological closure
- of the NNC polyhedron \p y.
-
- \param y
- The NNC polyhedron to be used;
-
- \param complexity
- This argument is ignored.
- */
- explicit C_Polyhedron(const NNC_Polyhedron& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a C polyhedron out of a box.
- /*!
- The polyhedron inherits the space dimension of the box
- and is the most precise that includes the box.
- The algorithm used has polynomial complexity.
-
- \param box
- The box representing the polyhedron to be approximated;
-
- \param complexity
- This argument is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum allowed
- space dimension.
- */
- template <typename Interval>
- explicit C_Polyhedron(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a C polyhedron out of a BD shape.
- /*!
- The polyhedron inherits the space dimension of the BDS and is
- the most precise that includes the BDS.
-
- \param bd
- The BDS used to build the polyhedron.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
- */
- template <typename U>
- explicit C_Polyhedron(const BD_Shape<U>& bd,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a C polyhedron out of an octagonal shape.
- /*!
- The polyhedron inherits the space dimension of the octagonal shape
- and is the most precise that includes the octagonal shape.
-
- \param os
- The octagonal shape used to build the polyhedron.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
- */
- template <typename U>
- explicit C_Polyhedron(const Octagonal_Shape<U>& os,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a C polyhedron out of a grid.
- /*!
- The polyhedron inherits the space dimension of the grid
- and is the most precise that includes the grid.
-
- \param grid
- The grid used to build the polyhedron.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
- */
- explicit C_Polyhedron(const Grid& grid,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- C_Polyhedron(const C_Polyhedron& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator.
- (\p *this and \p y can be dimension-incompatible.)
- */
- C_Polyhedron& operator=(const C_Polyhedron& y);
-
- //! Assigns to \p *this the topological closure of the NNC polyhedron \p y.
- C_Polyhedron& operator=(const NNC_Polyhedron& y);
-
- //! Destructor.
- ~C_Polyhedron();
-
- /*! \brief
- If the poly-hull of \p *this and \p y is exact it is assigned
- to \p *this and <CODE>true</CODE> is returned,
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool poly_hull_assign_if_exact(const C_Polyhedron& y);
-
- //! Same as poly_hull_assign_if_exact(y).
- bool upper_bound_assign_if_exact(const C_Polyhedron& y);
-};
-
-#include "C_Polyhedron.inlines.hh"
-
-#endif // !defined(PPL_C_Polyhedron_defs_hh)
diff --git a/src/C_Polyhedron.inlines.hh b/src/C_Polyhedron.inlines.hh
deleted file mode 100644
index 6c9d876..0000000
--- a/src/C_Polyhedron.inlines.hh
+++ /dev/null
@@ -1,154 +0,0 @@
-/* C_Polyhedron class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_C_Polyhedron_inlines_hh
-#define PPL_C_Polyhedron_inlines_hh 1
-
-#include <algorithm>
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-inline
-C_Polyhedron::~C_Polyhedron() {
-}
-
-inline
-C_Polyhedron::C_Polyhedron(dimension_type num_dimensions,
- Degenerate_Element kind)
- : Polyhedron(NECESSARILY_CLOSED,
- check_space_dimension_overflow(num_dimensions,
- NECESSARILY_CLOSED,
- "C_Polyhedron(n, k)",
- "n exceeds the maximum "
- "allowed space dimension"),
- kind) {
-}
-
-inline
-C_Polyhedron::C_Polyhedron(const Constraint_System& cs)
- : Polyhedron(NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(cs, NECESSARILY_CLOSED,
- "C_Polyhedron(cs)",
- "the space dimension of cs "
- "exceeds the maximum allowed "
- "space dimension")) {
-}
-
-inline
-C_Polyhedron::C_Polyhedron(Constraint_System& cs, Recycle_Input)
- : Polyhedron(NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(cs, NECESSARILY_CLOSED,
- "C_Polyhedron(cs, recycle)",
- "the space dimension of cs "
- "exceeds the maximum allowed "
- "space dimension"),
- Recycle_Input()) {
-}
-
-inline
-C_Polyhedron::C_Polyhedron(const Generator_System& gs)
- : Polyhedron(NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(gs, NECESSARILY_CLOSED,
- "C_Polyhedron(gs)",
- "the space dimension of gs "
- "exceeds the maximum allowed "
- "space dimension")) {
-}
-
-inline
-C_Polyhedron::C_Polyhedron(Generator_System& gs, Recycle_Input)
- : Polyhedron(NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(gs, NECESSARILY_CLOSED,
- "C_Polyhedron(gs, recycle)",
- "the space dimension of gs "
- "exceeds the maximum allowed "
- "space dimension"),
- Recycle_Input()) {
-}
-
-template <typename Interval>
-inline
-C_Polyhedron::C_Polyhedron(const Box<Interval>& box, Complexity_Class)
- : Polyhedron(NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(box, NECESSARILY_CLOSED,
- "C_Polyhedron(box)",
- "the space dimension of box "
- "exceeds the maximum allowed "
- "space dimension")) {
-}
-
-template <typename U>
-inline
-C_Polyhedron::C_Polyhedron(const BD_Shape<U>& bd, Complexity_Class)
- : Polyhedron(NECESSARILY_CLOSED,
- check_space_dimension_overflow(bd.space_dimension(),
- NECESSARILY_CLOSED,
- "C_Polyhedron(bd)",
- "the space dimension of bd "
- "exceeds the maximum allowed "
- "space dimension"),
- UNIVERSE) {
- add_constraints(bd.constraints());
-}
-
-template <typename U>
-inline
-C_Polyhedron::C_Polyhedron(const Octagonal_Shape<U>& os, Complexity_Class)
- : Polyhedron(NECESSARILY_CLOSED,
- check_space_dimension_overflow(os.space_dimension(),
- NECESSARILY_CLOSED,
- "C_Polyhedron(os)",
- "the space dimension of os "
- "exceeds the maximum allowed "
- "space dimension"),
- UNIVERSE) {
- add_constraints(os.constraints());
-}
-
-inline
-C_Polyhedron::C_Polyhedron(const C_Polyhedron& y, Complexity_Class)
- : Polyhedron(y) {
-}
-
-inline C_Polyhedron&
-C_Polyhedron::operator=(const C_Polyhedron& y) {
- Polyhedron::operator=(y);
- return *this;
-}
-
-inline C_Polyhedron&
-C_Polyhedron::operator=(const NNC_Polyhedron& y) {
- C_Polyhedron c_y(y);
- m_swap(c_y);
- return *this;
-}
-
-inline bool
-C_Polyhedron::upper_bound_assign_if_exact(const C_Polyhedron& y) {
- return poly_hull_assign_if_exact(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_C_Polyhedron_inlines_hh)
diff --git a/src/C_Polyhedron.types.hh b/src/C_Polyhedron.types.hh
deleted file mode 100644
index e4c1638..0000000
--- a/src/C_Polyhedron.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_C_Polyhedron_types_hh
-#define PPL_C_Polyhedron_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class C_Polyhedron;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_C_Polyhedron_types_hh)
diff --git a/src/C_Polyhedron_defs.hh b/src/C_Polyhedron_defs.hh
new file mode 100644
index 0000000..022c7df
--- /dev/null
+++ b/src/C_Polyhedron_defs.hh
@@ -0,0 +1,280 @@
+/* C_Polyhedron class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_C_Polyhedron_defs_hh
+#define PPL_C_Polyhedron_defs_hh 1
+
+#include "C_Polyhedron_types.hh"
+#include "NNC_Polyhedron_types.hh"
+#include "Polyhedron_defs.hh"
+#include "Grid_types.hh"
+#include "BD_Shape_types.hh"
+#include "Octagonal_Shape_types.hh"
+
+//! A closed convex polyhedron.
+/*! \ingroup PPL_CXX_interface
+ An object of the class C_Polyhedron represents a
+ <EM>topologically closed</EM> convex polyhedron
+ in the vector space \f$\Rset^n\f$.
+
+ When building a closed polyhedron starting from
+ a system of constraints, an exception is thrown if the system
+ contains a <EM>strict inequality</EM> constraint.
+ Similarly, an exception is thrown when building a closed polyhedron
+ starting from a system of generators containing a <EM>closure point</EM>.
+
+ \note
+ Such an exception will be obtained even if the system of
+ constraints (resp., generators) actually defines
+ a topologically closed subset of the vector space, i.e.,
+ even if all the strict inequalities (resp., closure points)
+ in the system happen to be redundant with respect to the
+ system obtained by removing all the strict inequality constraints
+ (resp., all the closure points).
+ In contrast, when building a closed polyhedron starting from
+ an object of the class NNC_Polyhedron,
+ the precise topological closure test will be performed.
+*/
+
+class Parma_Polyhedra_Library::C_Polyhedron : public Polyhedron {
+public:
+ //! Builds either the universe or the empty C polyhedron.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the C polyhedron;
+
+ \param kind
+ Specifies whether a universe or an empty C polyhedron should be built.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space dimension.
+
+ Both parameters are optional:
+ by default, a 0-dimension space universe C polyhedron is built.
+ */
+ explicit C_Polyhedron(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Builds a C polyhedron from a system of constraints.
+ /*!
+ The polyhedron inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints defining the polyhedron.
+
+ \exception std::invalid_argument
+ Thrown if the system of constraints contains strict inequalities.
+ */
+ explicit C_Polyhedron(const Constraint_System& cs);
+
+ //! Builds a C polyhedron recycling a system of constraints.
+ /*!
+ The polyhedron inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the system of constraints contains strict inequalities.
+ */
+ C_Polyhedron(Constraint_System& cs, Recycle_Input dummy);
+
+ //! Builds a C polyhedron from a system of generators.
+ /*!
+ The polyhedron inherits the space dimension of the generator system.
+
+ \param gs
+ The system of generators defining the polyhedron.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points,
+ or if it contains closure points.
+ */
+ explicit C_Polyhedron(const Generator_System& gs);
+
+ //! Builds a C polyhedron recycling a system of generators.
+ /*!
+ The polyhedron inherits the space dimension of the generator system.
+
+ \param gs
+ The system of generators defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points,
+ or if it contains closure points.
+ */
+ C_Polyhedron(Generator_System& gs, Recycle_Input dummy);
+
+ //! Builds a C polyhedron from a system of congruences.
+ /*!
+ The polyhedron inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences defining the polyhedron.
+ */
+ explicit C_Polyhedron(const Congruence_System& cgs);
+
+ //! Builds a C polyhedron recycling a system of congruences.
+ /*!
+ The polyhedron inherits the space dimension of the congruence
+ system.
+
+ \param cgs
+ The system of congruences defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+ */
+ C_Polyhedron(Congruence_System& cgs, Recycle_Input dummy);
+
+ /*! \brief
+ Builds a C polyhedron representing the topological closure
+ of the NNC polyhedron \p y.
+
+ \param y
+ The NNC polyhedron to be used;
+
+ \param complexity
+ This argument is ignored.
+ */
+ explicit C_Polyhedron(const NNC_Polyhedron& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a C polyhedron out of a box.
+ /*!
+ The polyhedron inherits the space dimension of the box
+ and is the most precise that includes the box.
+ The algorithm used has polynomial complexity.
+
+ \param box
+ The box representing the polyhedron to be approximated;
+
+ \param complexity
+ This argument is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum allowed
+ space dimension.
+ */
+ template <typename Interval>
+ explicit C_Polyhedron(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a C polyhedron out of a BD shape.
+ /*!
+ The polyhedron inherits the space dimension of the BDS and is
+ the most precise that includes the BDS.
+
+ \param bd
+ The BDS used to build the polyhedron.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+ */
+ template <typename U>
+ explicit C_Polyhedron(const BD_Shape<U>& bd,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a C polyhedron out of an octagonal shape.
+ /*!
+ The polyhedron inherits the space dimension of the octagonal shape
+ and is the most precise that includes the octagonal shape.
+
+ \param os
+ The octagonal shape used to build the polyhedron.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+ */
+ template <typename U>
+ explicit C_Polyhedron(const Octagonal_Shape<U>& os,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a C polyhedron out of a grid.
+ /*!
+ The polyhedron inherits the space dimension of the grid
+ and is the most precise that includes the grid.
+
+ \param grid
+ The grid used to build the polyhedron.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+ */
+ explicit C_Polyhedron(const Grid& grid,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ C_Polyhedron(const C_Polyhedron& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator.
+ (\p *this and \p y can be dimension-incompatible.)
+ */
+ C_Polyhedron& operator=(const C_Polyhedron& y);
+
+ //! Assigns to \p *this the topological closure of the NNC polyhedron \p y.
+ C_Polyhedron& operator=(const NNC_Polyhedron& y);
+
+ //! Destructor.
+ ~C_Polyhedron();
+
+ /*! \brief
+ If the poly-hull of \p *this and \p y is exact it is assigned
+ to \p *this and <CODE>true</CODE> is returned,
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool poly_hull_assign_if_exact(const C_Polyhedron& y);
+
+ //! Same as poly_hull_assign_if_exact(y).
+ bool upper_bound_assign_if_exact(const C_Polyhedron& y);
+};
+
+#include "C_Polyhedron_inlines.hh"
+
+#endif // !defined(PPL_C_Polyhedron_defs_hh)
diff --git a/src/C_Polyhedron_inlines.hh b/src/C_Polyhedron_inlines.hh
new file mode 100644
index 0000000..944fbd8
--- /dev/null
+++ b/src/C_Polyhedron_inlines.hh
@@ -0,0 +1,154 @@
+/* C_Polyhedron class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_C_Polyhedron_inlines_hh
+#define PPL_C_Polyhedron_inlines_hh 1
+
+#include <algorithm>
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+inline
+C_Polyhedron::~C_Polyhedron() {
+}
+
+inline
+C_Polyhedron::C_Polyhedron(dimension_type num_dimensions,
+ Degenerate_Element kind)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_space_dimension_overflow(num_dimensions,
+ NECESSARILY_CLOSED,
+ "C_Polyhedron(n, k)",
+ "n exceeds the maximum "
+ "allowed space dimension"),
+ kind) {
+}
+
+inline
+C_Polyhedron::C_Polyhedron(const Constraint_System& cs)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(cs, NECESSARILY_CLOSED,
+ "C_Polyhedron(cs)",
+ "the space dimension of cs "
+ "exceeds the maximum allowed "
+ "space dimension")) {
+}
+
+inline
+C_Polyhedron::C_Polyhedron(Constraint_System& cs, Recycle_Input)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(cs, NECESSARILY_CLOSED,
+ "C_Polyhedron(cs, recycle)",
+ "the space dimension of cs "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ Recycle_Input()) {
+}
+
+inline
+C_Polyhedron::C_Polyhedron(const Generator_System& gs)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(gs, NECESSARILY_CLOSED,
+ "C_Polyhedron(gs)",
+ "the space dimension of gs "
+ "exceeds the maximum allowed "
+ "space dimension")) {
+}
+
+inline
+C_Polyhedron::C_Polyhedron(Generator_System& gs, Recycle_Input)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(gs, NECESSARILY_CLOSED,
+ "C_Polyhedron(gs, recycle)",
+ "the space dimension of gs "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ Recycle_Input()) {
+}
+
+template <typename Interval>
+inline
+C_Polyhedron::C_Polyhedron(const Box<Interval>& box, Complexity_Class)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(box, NECESSARILY_CLOSED,
+ "C_Polyhedron(box)",
+ "the space dimension of box "
+ "exceeds the maximum allowed "
+ "space dimension")) {
+}
+
+template <typename U>
+inline
+C_Polyhedron::C_Polyhedron(const BD_Shape<U>& bd, Complexity_Class)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_space_dimension_overflow(bd.space_dimension(),
+ NECESSARILY_CLOSED,
+ "C_Polyhedron(bd)",
+ "the space dimension of bd "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ UNIVERSE) {
+ add_constraints(bd.constraints());
+}
+
+template <typename U>
+inline
+C_Polyhedron::C_Polyhedron(const Octagonal_Shape<U>& os, Complexity_Class)
+ : Polyhedron(NECESSARILY_CLOSED,
+ check_space_dimension_overflow(os.space_dimension(),
+ NECESSARILY_CLOSED,
+ "C_Polyhedron(os)",
+ "the space dimension of os "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ UNIVERSE) {
+ add_constraints(os.constraints());
+}
+
+inline
+C_Polyhedron::C_Polyhedron(const C_Polyhedron& y, Complexity_Class)
+ : Polyhedron(y) {
+}
+
+inline C_Polyhedron&
+C_Polyhedron::operator=(const C_Polyhedron& y) {
+ Polyhedron::operator=(y);
+ return *this;
+}
+
+inline C_Polyhedron&
+C_Polyhedron::operator=(const NNC_Polyhedron& y) {
+ C_Polyhedron c_y(y);
+ m_swap(c_y);
+ return *this;
+}
+
+inline bool
+C_Polyhedron::upper_bound_assign_if_exact(const C_Polyhedron& y) {
+ return poly_hull_assign_if_exact(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_C_Polyhedron_inlines_hh)
diff --git a/src/C_Polyhedron_types.hh b/src/C_Polyhedron_types.hh
new file mode 100644
index 0000000..96d84ca
--- /dev/null
+++ b/src/C_Polyhedron_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_C_Polyhedron_types_hh
+#define PPL_C_Polyhedron_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class C_Polyhedron;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_C_Polyhedron_types_hh)
diff --git a/src/Cast_Floating_Point_Expression.defs.hh b/src/Cast_Floating_Point_Expression.defs.hh
deleted file mode 100644
index bb51861..0000000
--- a/src/Cast_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,182 +0,0 @@
-/* Declarations for the Cast_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Cast_Floating_Point_Expression_defs_hh
-#define PPL_Cast_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Cast_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Cast_Floating_Point_Expression */
-template<typename FP_Interval_Type, typename FP_Format>
-void
-swap(Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Cast Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of floating-point cast expressions
-
- Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
- \f$i' + \sum_{v \in \cV}i'_{v}v \f$
- be two linear forms and \f$\aslf\f$ a sound abstract operator on linear
- forms such that:
-
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v \right)
- \aslf
- \left(i' + \sum_{v \in \cV}i'_{v}v \right)
- =
- \left(i \asifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v} \right)v.
- \f]
-
- Given a floating point expression \f$e\f$ and a composite abstract store
- \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right \rrbracket\f$,
- we construct the interval linear form
- \f$\linexprenv{cast(e)}{\rho^{\#}}{\rho^{\#}_l}\f$ as follows:
- \f[
- \linexprenv{cast(e)}{\rho^{\#}}{\rho^{\#}_l}
- =
- \linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}
- \aslf
- \varepsilon_{\mathbf{f}}\left(\linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}
- \right)
- \aslf
- mf_{\mathbf{f}}[-1, 1]
- \f]
- where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
- calling method <CODE>Floating_Point_Expression::relative_error</CODE>
- on \f$l\f$ and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
- <CODE>Floating_Point_Expression::absolute_error</CODE>.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Cast_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Builds a cast floating point expression with the value
- expressed by \p expr.
- */
- Cast_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const expr);
-
- //! Destructor.
- ~Cast_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- See the class description for an explanation of how \p result is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Cast_Floating_Point_Expression& y);
-
-private:
-
- //! Pointer to the casted expression.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* expr;
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Cast_Floating_Point_Expression(
- const Cast_Floating_Point_Expression& y);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited assignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAIL
- Cast_Floating_Point_Expression& operator=(
- const Cast_Floating_Point_Expression& y);
-
-}; // class Cast_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Cast_Floating_Point_Expression.inlines.hh"
-
-#endif // !defined(PPL_Cast_Floating_Point_Expression_defs_hh)
diff --git a/src/Cast_Floating_Point_Expression.inlines.hh b/src/Cast_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 8fea3cf..0000000
--- a/src/Cast_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,64 +0,0 @@
-/* Cast_Floating_Point_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Cast_Floating_Point_Expression_inlines_hh
-#define PPL_Cast_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-Cast_Floating_Point_Expression(
-Floating_Point_Expression<FP_Interval_Type, FP_Format>* const e)
- : expr(e) {
- assert(e != 0);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-~Cast_Floating_Point_Expression() {
- delete expr;
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Cast_Floating_Point_Expression& y) {
- swap(expr, y.expr);
-}
-
-/*! \relates Cast_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Cast_Floating_Point_Expression_inlines_hh)
diff --git a/src/Cast_Floating_Point_Expression.templates.hh b/src/Cast_Floating_Point_Expression.templates.hh
deleted file mode 100644
index 7210ee5..0000000
--- a/src/Cast_Floating_Point_Expression.templates.hh
+++ /dev/null
@@ -1,46 +0,0 @@
-/* Cast_Floating_Point_Expression class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Cast_Floating_Point_Expression_templates_hh
-#define PPL_Cast_Floating_Point_Expression_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-bool Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- if (!expr->linearize(int_store, lf_store, result))
- return false;
- FP_Linear_Form rel_error;
- relative_error(result, rel_error);
- result += rel_error;
- result += this->absolute_error;
- return !this->overflows(result);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Cast_Floating_Point_Expression_templates_hh)
diff --git a/src/Cast_Floating_Point_Expression.types.hh b/src/Cast_Floating_Point_Expression.types.hh
deleted file mode 100644
index 066761f..0000000
--- a/src/Cast_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Cast_Floating_Point_Expression_types_hh
-#define PPL_Cast_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Cast_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Cast_Floating_Point_Expression_types_hh)
diff --git a/src/Cast_Floating_Point_Expression_defs.hh b/src/Cast_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..ab6b0e8
--- /dev/null
+++ b/src/Cast_Floating_Point_Expression_defs.hh
@@ -0,0 +1,182 @@
+/* Declarations for the Cast_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Cast_Floating_Point_Expression_defs_hh
+#define PPL_Cast_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Cast_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Cast_Floating_Point_Expression */
+template<typename FP_Interval_Type, typename FP_Format>
+void
+swap(Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Cast Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of floating-point cast expressions
+
+ Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
+ \f$i' + \sum_{v \in \cV}i'_{v}v \f$
+ be two linear forms and \f$\aslf\f$ a sound abstract operator on linear
+ forms such that:
+
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v \right)
+ \aslf
+ \left(i' + \sum_{v \in \cV}i'_{v}v \right)
+ =
+ \left(i \asifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v} \right)v.
+ \f]
+
+ Given a floating point expression \f$e\f$ and a composite abstract store
+ \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right \rrbracket\f$,
+ we construct the interval linear form
+ \f$\linexprenv{cast(e)}{\rho^{\#}}{\rho^{\#}_l}\f$ as follows:
+ \f[
+ \linexprenv{cast(e)}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}
+ \aslf
+ \varepsilon_{\mathbf{f}}\left(\linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}
+ \right)
+ \aslf
+ mf_{\mathbf{f}}[-1, 1]
+ \f]
+ where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
+ calling method <CODE>Floating_Point_Expression::relative_error</CODE>
+ on \f$l\f$ and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
+ <CODE>Floating_Point_Expression::absolute_error</CODE>.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Cast_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Builds a cast floating point expression with the value
+ expressed by \p expr.
+ */
+ Cast_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const expr);
+
+ //! Destructor.
+ ~Cast_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ See the class description for an explanation of how \p result is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Cast_Floating_Point_Expression& y);
+
+private:
+
+ //! Pointer to the casted expression.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* expr;
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Cast_Floating_Point_Expression(
+ const Cast_Floating_Point_Expression& y);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited assignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAIL
+ Cast_Floating_Point_Expression& operator=(
+ const Cast_Floating_Point_Expression& y);
+
+}; // class Cast_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Cast_Floating_Point_Expression_inlines.hh"
+
+#endif // !defined(PPL_Cast_Floating_Point_Expression_defs_hh)
diff --git a/src/Cast_Floating_Point_Expression_inlines.hh b/src/Cast_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..333fe74
--- /dev/null
+++ b/src/Cast_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,64 @@
+/* Cast_Floating_Point_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Cast_Floating_Point_Expression_inlines_hh
+#define PPL_Cast_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+Cast_Floating_Point_Expression(
+Floating_Point_Expression<FP_Interval_Type, FP_Format>* const e)
+ : expr(e) {
+ assert(e != 0);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+~Cast_Floating_Point_Expression() {
+ delete expr;
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Cast_Floating_Point_Expression& y) {
+ swap(expr, y.expr);
+}
+
+/*! \relates Cast_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Cast_Floating_Point_Expression_inlines_hh)
diff --git a/src/Cast_Floating_Point_Expression_templates.hh b/src/Cast_Floating_Point_Expression_templates.hh
new file mode 100644
index 0000000..695a981
--- /dev/null
+++ b/src/Cast_Floating_Point_Expression_templates.hh
@@ -0,0 +1,46 @@
+/* Cast_Floating_Point_Expression class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Cast_Floating_Point_Expression_templates_hh
+#define PPL_Cast_Floating_Point_Expression_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+bool Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ if (!expr->linearize(int_store, lf_store, result))
+ return false;
+ FP_Linear_Form rel_error;
+ relative_error(result, rel_error);
+ result += rel_error;
+ result += this->absolute_error;
+ return !this->overflows(result);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Cast_Floating_Point_Expression_templates_hh)
diff --git a/src/Cast_Floating_Point_Expression_types.hh b/src/Cast_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..8fa18a6
--- /dev/null
+++ b/src/Cast_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Cast_Floating_Point_Expression_types_hh
+#define PPL_Cast_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Cast_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Cast_Floating_Point_Expression_types_hh)
diff --git a/src/Checked_Number.cc b/src/Checked_Number.cc
index a5ec0c1..df0fc17 100644
--- a/src/Checked_Number.cc
+++ b/src/Checked_Number.cc
@@ -1,6 +1,6 @@
/* Checked_Number class implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Checked_Number.defs.hh"
+#include "Checked_Number_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -37,18 +37,18 @@ throw_result_exception(Result r) {
throw std::logic_error("Exact result is less than computed one.");
case V_LE:
throw std::logic_error("Exact result is less than or equal to "
- "computed one.");
+ "computed one.");
case V_GT:
throw std::logic_error("Exact result is greater than computed one.");
case V_GE:
throw std::logic_error("Exact result is greater than or equal to "
- "computed one.");
+ "computed one.");
case V_NE:
throw std::logic_error("Exact result is less than or greater than "
- "computed one.");
+ "computed one.");
case V_LGE:
throw std::logic_error("Exact result is less than, greater than or "
- "equal to computed one.");
+ "equal to computed one.");
case V_EQ_MINUS_INFINITY:
throw std::overflow_error("Minus infinity.");
case V_GT_MINUS_INFINITY:
diff --git a/src/Checked_Number.defs.hh b/src/Checked_Number.defs.hh
deleted file mode 100644
index c24286a..0000000
--- a/src/Checked_Number.defs.hh
+++ /dev/null
@@ -1,1068 +0,0 @@
-/* Checked_Number class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Checked_Number_defs_hh
-#define PPL_Checked_Number_defs_hh 1
-
-#include "Checked_Number.types.hh"
-#include "checked.defs.hh"
-#include "meta_programming.hh"
-#include "Slow_Copy.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct Extended_Number_Policy {
- const_bool_nodef(check_overflow, true);
- const_bool_nodef(check_inf_add_inf, false);
- const_bool_nodef(check_inf_sub_inf, false);
- const_bool_nodef(check_inf_mul_zero, false);
- const_bool_nodef(check_div_zero, false);
- const_bool_nodef(check_inf_div_inf, false);
- const_bool_nodef(check_inf_mod, false);
- const_bool_nodef(check_sqrt_neg, false);
- const_bool_nodef(has_nan, true);
- const_bool_nodef(has_infinity, true);
-
- // `convertible' is intentionally not defined: the compile time
- // error on conversions is the expected behavior.
-
- const_bool_nodef(fpu_check_inexact, true);
- const_bool_nodef(fpu_check_nan_result, true);
-
- // ROUND_DEFAULT_CONSTRUCTOR is intentionally not defined.
- // ROUND_DEFAULT_OPERATOR is intentionally not defined.
- // ROUND_DEFAULT_FUNCTION is intentionally not defined.
- // ROUND_DEFAULT_INPUT is intentionally not defined.
- // ROUND_DEFAULT_OUTPUT is intentionally not defined.
-
- static void handle_result(Result r);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A policy checking for overflows.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-struct Check_Overflow_Policy {
- const_bool_nodef(check_overflow, true);
- const_bool_nodef(check_inf_add_inf, false);
- const_bool_nodef(check_inf_sub_inf, false);
- const_bool_nodef(check_inf_mul_zero, false);
- const_bool_nodef(check_div_zero, false);
- const_bool_nodef(check_inf_div_inf, false);
- const_bool_nodef(check_inf_mod, false);
- const_bool_nodef(check_sqrt_neg, false);
- const_bool_nodef(has_nan, std::numeric_limits<T>::has_quiet_NaN);
- const_bool_nodef(has_infinity, std::numeric_limits<T>::has_infinity);
- const_bool_nodef(convertible, true);
- const_bool_nodef(fpu_check_inexact, true);
- const_bool_nodef(fpu_check_nan_result, true);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename Enable = void>
-struct Native_Checked_From_Wrapper;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-struct Native_Checked_From_Wrapper<T, typename Enable_If<Is_Native<T>::value>::type> {
- typedef Checked_Number_Transparent_Policy<T> Policy;
- static const T& raw_value(const T& v) {
- return v;
- }
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename P>
-struct Native_Checked_From_Wrapper<Checked_Number<T, P> > {
- typedef P Policy;
- static const T& raw_value(const Checked_Number<T, P>& v) {
- return v.raw_value();
- }
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename Enable = void>
-struct Native_Checked_To_Wrapper;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-struct Native_Checked_To_Wrapper<T, typename Enable_If<Is_Native<T>::value>::type> {
- typedef Check_Overflow_Policy<T> Policy;
- static T& raw_value(T& v) {
- return v;
- }
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename P>
-struct Native_Checked_To_Wrapper<Checked_Number<T, P> > {
- typedef P Policy;
- static T& raw_value(Checked_Number<T, P>& v) {
- return v.raw_value();
- }
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-struct Is_Checked : public False { };
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename P>
-struct Is_Checked<Checked_Number<T, P> > : public True { };
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-struct Is_Native_Or_Checked
- : public Bool<Is_Native<T>::value || Is_Checked<T>::value> { };
-
-//! A wrapper for numeric types implementing a given policy.
-/*! \ingroup PPL_CXX_interface
- The wrapper and related functions implement an interface which is common
- to all kinds of coefficient types, therefore allowing for a uniform
- coding style. This class also implements the policy encoded by the
- second template parameter. The default policy is to perform the detection
- of overflow errors.
-*/
-template <typename T, typename Policy>
-class Checked_Number {
-public:
-
- //! \name Constructors
- //@{
-
- //! Default constructor.
- Checked_Number();
-
- //! Copy constructor.
- Checked_Number(const Checked_Number& y);
-
- //! Direct initialization from a Checked_Number and rounding mode.
- template <typename From, typename From_Policy>
- Checked_Number(const Checked_Number<From, From_Policy>& y, Rounding_Dir dir);
-
- //! Direct initialization from a plain char and rounding mode.
- Checked_Number(char y, Rounding_Dir dir);
-
- //! Direct initialization from a signed char and rounding mode.
- Checked_Number(signed char y, Rounding_Dir dir);
-
- //! Direct initialization from a signed short and rounding mode.
- Checked_Number(signed short y, Rounding_Dir dir);
-
- //! Direct initialization from a signed int and rounding mode.
- Checked_Number(signed int y, Rounding_Dir dir);
-
- //! Direct initialization from a signed long and rounding mode.
- Checked_Number(signed long y, Rounding_Dir dir);
-
- //! Direct initialization from a signed long long and rounding mode.
- Checked_Number(signed long long y, Rounding_Dir dir);
-
- //! Direct initialization from an unsigned char and rounding mode.
- Checked_Number(unsigned char y, Rounding_Dir dir);
-
- //! Direct initialization from an unsigned short and rounding mode.
- Checked_Number(unsigned short y, Rounding_Dir dir);
-
- //! Direct initialization from an unsigned int and rounding mode.
- Checked_Number(unsigned int y, Rounding_Dir dir);
-
- //! Direct initialization from an unsigned long and rounding mode.
- Checked_Number(unsigned long y, Rounding_Dir dir);
-
- //! Direct initialization from an unsigned long long and rounding mode.
- Checked_Number(unsigned long long y, Rounding_Dir dir);
-
-#if PPL_SUPPORTED_FLOAT
- //! Direct initialization from a float and rounding mode.
- Checked_Number(float y, Rounding_Dir dir);
-#endif
-
-#if PPL_SUPPORTED_DOUBLE
- //! Direct initialization from a double and rounding mode.
- Checked_Number(double y, Rounding_Dir dir);
-#endif
-
-#if PPL_SUPPORTED_LONG_DOUBLE
- //! Direct initialization from a long double and rounding mode.
- Checked_Number(long double y, Rounding_Dir dir);
-#endif
-
- //! Direct initialization from a rational and rounding mode.
- Checked_Number(const mpq_class& y, Rounding_Dir dir);
-
- //! Direct initialization from an unbounded integer and rounding mode.
- Checked_Number(const mpz_class& y, Rounding_Dir dir);
-
- //! Direct initialization from a C string and rounding mode.
- Checked_Number(const char* y, Rounding_Dir dir);
-
- //! Direct initialization from special and rounding mode.
- template <typename From>
- Checked_Number(const From&, Rounding_Dir dir, typename Enable_If<Is_Special<From>::value, bool>::type ignored = false);
-
- //! Direct initialization from a Checked_Number, default rounding mode.
- template <typename From, typename From_Policy>
- explicit Checked_Number(const Checked_Number<From, From_Policy>& y);
-
- //! Direct initialization from a plain char, default rounding mode.
- Checked_Number(char y);
-
- //! Direct initialization from a signed char, default rounding mode.
- Checked_Number(signed char y);
-
- //! Direct initialization from a signed short, default rounding mode.
- Checked_Number(signed short y);
-
- //! Direct initialization from a signed int, default rounding mode.
- Checked_Number(signed int y);
-
- //! Direct initialization from a signed long, default rounding mode.
- Checked_Number(signed long y);
-
- //! Direct initialization from a signed long long, default rounding mode.
- Checked_Number(signed long long y);
-
- //! Direct initialization from an unsigned char, default rounding mode.
- Checked_Number(unsigned char y);
-
- //! Direct initialization from an unsigned short, default rounding mode.
- Checked_Number(unsigned short y);
-
- //! Direct initialization from an unsigned int, default rounding mode.
- Checked_Number(unsigned int y);
-
- //! Direct initialization from an unsigned long, default rounding mode.
- Checked_Number(unsigned long y);
-
- //! Direct initialization from an unsigned long long, default rounding mode.
- Checked_Number(unsigned long long y);
-
- //! Direct initialization from a float, default rounding mode.
- Checked_Number(float y);
-
- //! Direct initialization from a double, default rounding mode.
- Checked_Number(double y);
-
- //! Direct initialization from a long double, default rounding mode.
- Checked_Number(long double y);
-
- //! Direct initialization from a rational, default rounding mode.
- Checked_Number(const mpq_class& y);
-
- //! Direct initialization from an unbounded integer, default rounding mode.
- Checked_Number(const mpz_class& y);
-
- //! Direct initialization from a C string, default rounding mode.
- Checked_Number(const char* y);
-
- //! Direct initialization from special, default rounding mode
- template <typename From>
- Checked_Number(const From&, typename Enable_If<Is_Special<From>::value, bool>::type ignored = false);
-
-
- //@} // Constructors
-
- //! \name Accessors and Conversions
- //@{
-
- //! Conversion operator: returns a copy of the underlying numeric value.
- operator T() const;
-
- //! Returns a reference to the underlying numeric value.
- T& raw_value();
-
- //! Returns a const reference to the underlying numeric value.
- const T& raw_value() const;
-
- //@} // Accessors and Conversions
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //! Classifies *this.
- /*!
- Returns the appropriate Result characterizing:
- - whether \p *this is NaN,
- if \p nan is <CODE>true</CODE>;
- - whether \p *this is a (positive or negative) infinity,
- if \p inf is <CODE>true</CODE>;
- - the sign of \p *this,
- if \p sign is <CODE>true</CODE>.
- */
- Result classify(bool nan = true, bool inf = true, bool sign = true) const;
-
- //! \name Assignment Operators
- //@{
-
- //! Assignment operator.
- Checked_Number& operator=(const Checked_Number& y);
-
- //! Assignment operator.
- template <typename From>
- Checked_Number& operator=(const From& y);
-
- //! Add and assign operator.
- template <typename From_Policy>
- Checked_Number& operator+=(const Checked_Number<T, From_Policy>& y);
-
- //! Add and assign operator.
- Checked_Number& operator+=(const T& y);
-
- //! Add and assign operator.
- template <typename From>
- typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
- operator+=(const From& y);
-
- //! Subtract and assign operator.
- template <typename From_Policy>
- Checked_Number& operator-=(const Checked_Number<T, From_Policy>& y);
-
- //! Subtract and assign operator.
- Checked_Number& operator-=(const T& y);
-
- //! Subtract and assign operator.
- template <typename From>
- typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
- operator-=(const From& y);
-
- //! Multiply and assign operator.
- template <typename From_Policy>
- Checked_Number& operator*=(const Checked_Number<T, From_Policy>& y);
-
- //! Multiply and assign operator.
- Checked_Number& operator*=(const T& y);
-
- //! Multiply and assign operator.
- template <typename From>
- typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
- operator*=(const From& y);
-
- //! Divide and assign operator.
- template <typename From_Policy>
- Checked_Number& operator/=(const Checked_Number<T, From_Policy>& y);
-
- //! Divide and assign operator.
- Checked_Number& operator/=(const T& y);
-
- //! Divide and assign operator.
- template <typename From>
- typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
- operator/=(const From& y);
-
- //! Compute remainder and assign operator.
- template <typename From_Policy>
- Checked_Number& operator%=(const Checked_Number<T, From_Policy>& y);
-
- //! Compute remainder and assign operator.
- Checked_Number& operator%=(const T& y);
-
- //! Compute remainder and assign operator.
- template <typename From>
- typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>& >::type
- operator%=(const From& y);
-
- //@} // Assignment Operators
-
-
- //! \name Increment and Decrement Operators
- //@{
-
- //! Pre-increment operator.
- Checked_Number& operator++();
-
- //! Post-increment operator.
- Checked_Number operator++(int);
-
- //! Pre-decrement operator.
- Checked_Number& operator--();
-
- //! Post-decrement operator.
- Checked_Number operator--(int);
-
- //@} // Increment and Decrement Operators
-
-private:
- //! The underlying numeric value.
- T v;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename P>
-struct Slow_Copy<Checked_Number<T, P> > : public Bool<Slow_Copy<T>::value> {};
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_not_a_number(const T& x);
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_minus_infinity(const T& x);
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_plus_infinity(const T& x);
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, int>::type
-infinity_sign(const T& x);
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_integer(const T& x);
-
-/*! \relates Checked_Number */
-template <typename To, typename From>
-typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
-construct(To& to, const From& x, Rounding_Dir dir);
-
-/*! \relates Checked_Number */
-template <typename To, typename From>
-typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
-assign_r(To& to, const From& x, Rounding_Dir dir);
-
-/*! \relates Checked_Number */
-template <typename To>
-typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
-assign_r(To& to, const char* x, Rounding_Dir dir);
-
-/*! \relates Checked_Number */
-template <typename To, typename To_Policy>
-typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
-assign_r(To& to, char* x, Rounding_Dir dir);
-
-#define PPL_DECLARE_FUNC1_A(name) \
-template <typename To, typename From> \
-typename Enable_If<Is_Native_Or_Checked<To>::value \
- && Is_Native_Or_Checked<From>::value, \
- Result>::type \
- PPL_U(name)(To& to, const From& x, Rounding_Dir dir);
-
-PPL_DECLARE_FUNC1_A(assign_r)
-PPL_DECLARE_FUNC1_A(floor_assign_r)
-PPL_DECLARE_FUNC1_A(ceil_assign_r)
-PPL_DECLARE_FUNC1_A(trunc_assign_r)
-PPL_DECLARE_FUNC1_A(neg_assign_r)
-PPL_DECLARE_FUNC1_A(abs_assign_r)
-PPL_DECLARE_FUNC1_A(sqrt_assign_r)
-
-#undef PPL_DECLARE_FUNC1_A
-
-#define PPL_DECLARE_FUNC1_B(name) \
-template <typename To, typename From> \
-typename Enable_If<Is_Native_Or_Checked<To>::value \
- && Is_Native_Or_Checked<From>::value, \
- Result>::type \
- PPL_U(name)(To& to, const From& x, unsigned int exp, Rounding_Dir dir);
-
-PPL_DECLARE_FUNC1_B(add_2exp_assign_r)
-PPL_DECLARE_FUNC1_B(sub_2exp_assign_r)
-PPL_DECLARE_FUNC1_B(mul_2exp_assign_r)
-PPL_DECLARE_FUNC1_B(div_2exp_assign_r)
-PPL_DECLARE_FUNC1_B(smod_2exp_assign_r)
-PPL_DECLARE_FUNC1_B(umod_2exp_assign_r)
-
-#undef PPL_DECLARE_FUNC1_B
-
-#define PPL_DECLARE_FUNC2(name) \
-template <typename To, typename From1, typename From2> \
-typename Enable_If<Is_Native_Or_Checked<To>::value \
- && Is_Native_Or_Checked<From1>::value \
- && Is_Native_Or_Checked<From2>::value, \
- Result>::type \
- PPL_U(name)(To& to, const From1& x, const From2& y, Rounding_Dir dir);
-
-PPL_DECLARE_FUNC2(add_assign_r)
-PPL_DECLARE_FUNC2(sub_assign_r)
-PPL_DECLARE_FUNC2(mul_assign_r)
-PPL_DECLARE_FUNC2(div_assign_r)
-PPL_DECLARE_FUNC2(idiv_assign_r)
-PPL_DECLARE_FUNC2(rem_assign_r)
-PPL_DECLARE_FUNC2(gcd_assign_r)
-PPL_DECLARE_FUNC2(lcm_assign_r)
-PPL_DECLARE_FUNC2(add_mul_assign_r)
-PPL_DECLARE_FUNC2(sub_mul_assign_r)
-
-#undef PPL_DECLARE_FUNC2
-
-#define PPL_DECLARE_FUNC4(name) \
-template <typename To1, typename To2, typename To3, \
- typename From1, typename From2> \
-typename Enable_If<Is_Native_Or_Checked<To1>::value \
- && Is_Native_Or_Checked<To2>::value \
- && Is_Native_Or_Checked<To3>::value \
- && Is_Native_Or_Checked<From1>::value \
- && Is_Native_Or_Checked<From2>::value, \
- Result>::type \
- PPL_U(name)(To1& to, To2& s, To3& t, \
- const From1& x, const From2& y, \
- Rounding_Dir dir);
-
-PPL_DECLARE_FUNC4(gcdext_assign_r)
-
-#undef PPL_DECLARE_FUNC4
-
-//! \name Accessor Functions
-//@{
-
-//@} // Accessor Functions
-
-//! \name Memory Size Inspection Functions
-//@{
-
-//! Returns the total size in bytes of the memory occupied by \p x.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-memory_size_type
-total_memory_in_bytes(const Checked_Number<T, Policy>& x);
-
-//! Returns the size in bytes of the memory managed by \p x.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-memory_size_type
-external_memory_in_bytes(const Checked_Number<T, Policy>& x);
-
-//@} // Memory Size Inspection Functions
-
-//! \name Arithmetic Operators
-//@{
-
-//! Unary plus operator.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-Checked_Number<T, Policy>
-operator+(const Checked_Number<T, Policy>& x);
-
-//! Unary minus operator.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-Checked_Number<T, Policy>
-operator-(const Checked_Number<T, Policy>& x);
-
-//! Assigns to \p x largest integral value not greater than \p x.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-floor_assign(Checked_Number<T, Policy>& x);
-
-//! Assigns to \p x largest integral value not greater than \p y.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-floor_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
-
-//! Assigns to \p x smallest integral value not less than \p x.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-ceil_assign(Checked_Number<T, Policy>& x);
-
-//! Assigns to \p x smallest integral value not less than \p y.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-ceil_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
-
-//! Round \p x to the nearest integer not larger in absolute value.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-trunc_assign(Checked_Number<T, Policy>& x);
-
-//! Assigns to \p x the value of \p y rounded to the nearest integer not larger in absolute value.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-trunc_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
-
-//! Assigns to \p x its negation.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-neg_assign(Checked_Number<T, Policy>& x);
-
-//! Assigns to \p x the negation of \p y.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-neg_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
-
-//! Assigns to \p x its absolute value.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-abs_assign(Checked_Number<T, Policy>& x);
-
-//! Assigns to \p x the absolute value of \p y.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-abs_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
-
-//! Assigns to \p x the value <CODE>x + y * z</CODE>.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-add_mul_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
-
-//! Assigns to \p x the value <CODE>x - y * z</CODE>.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-sub_mul_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
-
-//! Assigns to \p x the greatest common divisor of \p y and \p z.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-gcd_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
-
-/*! \brief
- Assigns to \p x the greatest common divisor of \p y and \p z,
- setting \p s and \p t such that s*y + t*z = x = gcd(y, z).
-*/
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-gcdext_assign(Checked_Number<T, Policy>& x,
- Checked_Number<T, Policy>& s,
- Checked_Number<T, Policy>& t,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
-
-//! Assigns to \p x the least common multiple of \p y and \p z.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-lcm_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
-
-//! Assigns to \p x the value \f$ y \cdot 2^\mathtt{exp} \f$.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-mul_2exp_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- unsigned int exp);
-
-//! Assigns to \p x the value \f$ y / 2^\mathtt{exp} \f$.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void
-div_2exp_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- unsigned int exp);
-
-/*! \brief
- If \p z divides \p y, assigns to \p x the quotient of the integer
- division of \p y and \p z.
-
- \relates Checked_Number
- The behavior is undefined if \p z does not divide \p y.
-*/
-template <typename T, typename Policy>
-void
-exact_div_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
-
-//! Assigns to \p x the integer square root of \p y.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void sqrt_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y);
-
-//@} // Arithmetic Operators
-
-
-//! \name Relational Operators and Comparison Functions
-//@{
-
-//! Equality operator.
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline
-typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value
- && (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
-operator==(const T1& x, const T2& y);
-
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
-equal(const T1& x, const T2& y);
-
-//! Disequality operator.
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline
-typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value
- && (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
-operator!=(const T1& x, const T2& y);
-
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
-not_equal(const T1& x, const T2& y);
-
-//! Greater than or equal to operator.
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline
-typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value
- && (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
-operator>=(const T1& x, const T2& y);
-
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
-greater_or_equal(const T1& x, const T2& y);
-
-//! Greater than operator.
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline
-typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value
- && (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
-operator>(const T1& x, const T2& y);
-
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
-greater_than(const T1& x, const T2& y);
-
-//! Less than or equal to operator.
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline
-typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value
- && (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
-operator<=(const T1& x, const T2& y);
-
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
-less_or_equal(const T1& x, const T2& y);
-
-//! Less than operator.
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline
-typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value
- && (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
-operator<(const T1& x, const T2& y);
-
-/*! \relates Checked_Number */
-template <typename T1, typename T2>
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
-less_than(const T1& x, const T2& y);
-
-/*! \brief
- Returns \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether the value
- of \p x is negative, zero or positive, respectively.
-
- \relates Checked_Number
-*/
-template <typename From>
-inline typename Enable_If<Is_Native_Or_Checked<From>::value, int>::type \
-sgn(const From& x);
-
-/*! \brief
- Returns a negative, zero or positive value depending on whether
- \p x is lower than, equal to or greater than \p y, respectively.
-
- \relates Checked_Number
-*/
-template <typename From1, typename From2>
-inline typename Enable_If<Is_Native_Or_Checked<From1>::value
- && Is_Native_Or_Checked<From2>::value,
- int>::type
-cmp(const From1& x, const From2& y);
-
-//@} // Relational Operators and Comparison Functions
-
-//! \name Input-Output Operators
-//@{
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
-output(std::ostream& os,
- const T& x,
- const Numeric_Format& format,
- Rounding_Dir dir);
-
-//! Output operator.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-std::ostream&
-operator<<(std::ostream& os, const Checked_Number<T, Policy>& x);
-
-//! Ascii dump for native or checked.
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
-ascii_dump(std::ostream& s, const T& t);
-
-//! Input function.
-/*!
- \relates Checked_Number
-
- \param is
- Input stream to read from;
-
- \param x
- Number (possibly extended) to assign to in case of successful reading;
-
- \param dir
- Rounding mode to be applied.
-
- \return
- Result of the input operation. Success, success with imprecision,
- overflow, parsing error: all possibilities are taken into account,
- checked for, and properly reported.
-
- This function attempts reading a (possibly extended) number from the given
- stream \p is, possibly rounding as specified by \p dir, assigning the result
- to \p x upon success, and returning the appropriate Result.
-
- The input syntax allows the specification of:
- - plain base-10 integer numbers as <CODE>34976098</CODE>,
- <CODE>-77</CODE> and <CODE>+13</CODE>;
- - base-10 integer numbers in scientific notation as <CODE>15e2</CODE>
- and <CODE>15*^2</CODE> (both meaning \f$15 \cdot 10^2 = 1500\f$),
- <CODE>9200e-2</CODE> and <CODE>-18*^+11111111111111111</CODE>;
- - base-10 rational numbers in fraction notation as
- <CODE>15/3</CODE> and <CODE>15/-3</CODE>;
- - base-10 rational numbers in fraction/scientific notation as
- <CODE>15/30e-1</CODE> (meaning \f$5\f$) and <CODE>15*^-3/29e2</CODE>
- (meaning \f$3/580000\f$);
- - base-10 rational numbers in floating point notation as
- <CODE>71.3</CODE> (meaning \f$713/10\f$) and
- <CODE>-0.123456</CODE> (meaning \f$-1929/15625\f$);
- - base-10 rational numbers in floating point scientific notation as
- <CODE>2.2e-1</CODE> (meaning \f$11/50\f$) and <CODE>-2.20001*^+3</CODE>
- (meaning \f$-220001/100\f$);
- - integers and rationals (in fractional, floating point and scientific
- notations) specified by using Mathematica-style bases, in the range
- from 2 to 36, as
- <CODE>2^^11</CODE> (meaning \f$3\f$),
- <CODE>36^^z</CODE> (meaning \f$35\f$),
- <CODE>36^^xyz</CODE> (meaning \f$44027\f$),
- <CODE>2^^11.1</CODE> (meaning \f$7/2\f$),
- <CODE>10^^2e3</CODE> (meaning \f$2000\f$),
- <CODE>8^^2e3</CODE> (meaning \f$1024\f$),
- <CODE>8^^2.1e3</CODE> (meaning \f$1088\f$),
- <CODE>8^^20402543.120347e7</CODE> (meaning \f$9073863231288\f$),
- <CODE>8^^2.1</CODE> (meaning \f$17/8\f$);
- note that the base and the exponent are always written as plain
- base-10 integer numbers; also, when an ambiguity may arise, the
- character <CODE>e</CODE> is interpreted as a digit, so that
- <CODE>16^^1e2</CODE> (meaning \f$482\f$) is different from
- <CODE>16^^1*^2</CODE> (meaning \f$256\f$);
- - the C-style hexadecimal prefix <CODE>0x</CODE> is interpreted as
- the Mathematica-style prefix <CODE>16^^</CODE>;
- - the C-style binary exponent indicator <CODE>p</CODE> can only be used
- when base 16 has been specified; if used, the exponent will be
- applied to base 2 (instead of base 16, as is the case when the
- indicator <CODE>e</CODE> is used);
- - special values like <CODE>inf</CODE> and <CODE>+inf</CODE>
- (meaning \f$+\infty\f$), <CODE>-inf</CODE> (meaning \f$-\infty\f$),
- and <CODE>nan</CODE> (meaning "not a number").
-
- The rationale behind the accepted syntax can be summarized as follows:
- - if the syntax is accepted by Mathematica, then this function
- accepts it with the same semantics;
- - if the syntax is acceptable as standard C++ integer or floating point
- literal (except for octal notation and type suffixes, which are not
- supported), then this function accepts it with the same semantics;
- - natural extensions of the above are accepted with the natural
- extensions of the semantics;
- - special values are accepted.
-
- Valid syntax is more formally and completely specified by the
- following grammar, with the additional provisos that everything is
- <EM>case insensitive</EM>, that the syntactic category
- <CODE>BDIGIT</CODE> is further restricted by the current base
- and that for all bases above 14, any <CODE>e</CODE> is always
- interpreted as a digit and never as a delimiter for the exponent part
- (if such a delimiter is desired, it has to be written as <CODE>*^</CODE>).
-
-\code
-number : NAN INF : 'inf'
- | SIGN INF ;
- | INF
- | num NAN : 'nan'
- | num DIV num ;
- ;
- SIGN : '-'
-num : u_num | '+'
- | SIGN u_num ;
-
-u_num : u_num1 EXP : 'e'
- | HEX u_num1 | 'p'
- | base BASE u_num1 | '*^'
- ; ;
- POINT : '.'
-u_num1 : mantissa ;
- | mantissa EXP exponent
- ; DIV : '/'
- ;
-mantissa: bdigits
- | POINT bdigits MINUS : '-'
- | bdigits POINT ;
- | bdigits POINT bdigits
- ; PLUS : '+'
- ;
-exponent: SIGN digits
- | digits HEX : '0x'
- ; ;
-
-bdigits : BDIGIT BASE : '^^'
- | bdigits BDIGIT ;
- ;
- DIGIT : '0' .. '9'
-digits : DIGIT ;
- | digits DIGIT
- ; BDIGIT : '0' .. '9'
- | 'a' .. 'z'
- ;
-\endcode
-*/
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
-input(T& x, std::istream& is, Rounding_Dir dir);
-
-//! Input operator.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-std::istream&
-operator>>(std::istream& is, Checked_Number<T, Policy>& x);
-
-//! Ascii load for native or checked.
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-ascii_load(std::ostream& s, T& t);
-
-//@} // Input-Output Operators
-
-void throw_result_exception(Result r);
-
-template <typename T>
-T
-plus_infinity();
-
-template <typename T>
-T
-minus_infinity();
-
-template <typename T>
-T
-not_a_number();
-
-//! Swaps \p x with \p y.
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-void swap(Checked_Number<T, Policy>& x, Checked_Number<T, Policy>& y);
-
-template <typename T, typename Policy>
-struct FPU_Related<Checked_Number<T, Policy> > : public FPU_Related<T> {};
-
-template <typename T>
-void maybe_reset_fpu_inexact();
-
-template <typename T>
-int maybe_check_fpu_inexact();
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Checked_Number.inlines.hh"
-#include "Checked_Number.templates.hh"
-
-#endif // !defined(PPL_Checked_Number_defs_hh)
diff --git a/src/Checked_Number.inlines.hh b/src/Checked_Number.inlines.hh
deleted file mode 100644
index be81531..0000000
--- a/src/Checked_Number.inlines.hh
+++ /dev/null
@@ -1,848 +0,0 @@
-/* Checked_Number class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Checked_Number_inlines_hh
-#define PPL_Checked_Number_inlines_hh 1
-
-#include "globals.defs.hh"
-#include <stdexcept>
-#include <sstream>
-
-namespace Parma_Polyhedra_Library {
-
-#ifndef NDEBUG
-#define DEBUG_ROUND_NOT_NEEDED
-#endif
-
-inline Rounding_Dir
-rounding_dir(Rounding_Dir dir) {
- if (dir == ROUND_NOT_NEEDED) {
-#ifdef DEBUG_ROUND_NOT_NEEDED
- return ROUND_CHECK;
-#endif
- }
- return dir;
-}
-
-inline Result
-check_result(Result r, Rounding_Dir dir) {
- if (dir == ROUND_NOT_NEEDED) {
-#ifdef DEBUG_ROUND_NOT_NEEDED
- PPL_ASSERT(result_relation(r) == VR_EQ);
-#endif
- return r;
- }
- return r;
-}
-
-
-template <typename T>
-inline void
-Checked_Number_Transparent_Policy<T>::handle_result(Result) {
-}
-
-inline void
-Extended_Number_Policy::handle_result(Result r) {
- if (result_class(r) == VC_NAN)
- throw_result_exception(r);
-}
-
-template <typename T, typename Policy>
-inline
-Checked_Number<T, Policy>::Checked_Number()
- : v(0) {
-}
-
-template <typename T, typename Policy>
-inline
-Checked_Number<T, Policy>::Checked_Number(const Checked_Number& y) {
- // TODO: avoid default construction of value member.
- Checked::copy<Policy, Policy>(v, y.raw_value());
-}
-
-template <typename T, typename Policy>
-template <typename From, typename From_Policy>
-inline
-Checked_Number<T, Policy>
-::Checked_Number(const Checked_Number<From, From_Policy>& y,
- Rounding_Dir dir) {
- // TODO: avoid default construction of value member.
- Policy::handle_result(check_result(Checked::assign_ext<Policy, From_Policy>
- (v,
- y.raw_value(),
- rounding_dir(dir)),
- dir)
- );
-}
-
-template <typename T, typename Policy>
-template <typename From, typename From_Policy>
-inline
-Checked_Number<T, Policy>
-::Checked_Number(const Checked_Number<From, From_Policy>& y) {
- // TODO: avoid default construction of value member.
- Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
- Policy::handle_result(check_result(Checked::assign_ext<Policy, From_Policy>
- (v,
- y.raw_value(),
- rounding_dir(dir)),
- dir));
-}
-
-// TODO: avoid default construction of value member.
-#define PPL_DEFINE_CTOR(type) \
-template <typename T, typename Policy> \
-inline \
-Checked_Number<T, Policy>::Checked_Number(const type y, Rounding_Dir dir) { \
- Policy::handle_result \
- (check_result(Checked::assign_ext<Policy, \
- Checked_Number_Transparent_Policy<PPL_U(type)> > \
- (v, y, rounding_dir(dir)), \
- dir)); \
-} \
-template <typename T, typename Policy> \
-inline \
-Checked_Number<T, Policy>::Checked_Number(const type y) { \
- Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR; \
- Policy::handle_result \
- (check_result(Checked::assign_ext<Policy, \
- Checked_Number_Transparent_Policy<PPL_U(type)> > \
- (v, y, rounding_dir(dir)), \
- dir)); \
-}
-
-PPL_DEFINE_CTOR(char)
-PPL_DEFINE_CTOR(signed char)
-PPL_DEFINE_CTOR(signed short)
-PPL_DEFINE_CTOR(signed int)
-PPL_DEFINE_CTOR(signed long)
-PPL_DEFINE_CTOR(signed long long)
-PPL_DEFINE_CTOR(unsigned char)
-PPL_DEFINE_CTOR(unsigned short)
-PPL_DEFINE_CTOR(unsigned int)
-PPL_DEFINE_CTOR(unsigned long)
-PPL_DEFINE_CTOR(unsigned long long)
-#if PPL_SUPPORTED_FLOAT
-PPL_DEFINE_CTOR(float)
-#endif
-#if PPL_SUPPORTED_DOUBLE
-PPL_DEFINE_CTOR(double)
-#endif
-#if PPL_SUPPORTED_LONG_DOUBLE
-PPL_DEFINE_CTOR(long double)
-#endif
-PPL_DEFINE_CTOR(mpq_class&)
-PPL_DEFINE_CTOR(mpz_class&)
-
-#undef PPL_DEFINE_CTOR
-
-
-template <typename T, typename Policy>
-inline
-Checked_Number<T, Policy>::Checked_Number(const char* y, Rounding_Dir dir) {
- std::istringstream s(y);
- Policy::handle_result(check_result(Checked::input<Policy>(v,
- s,
- rounding_dir(dir)),
- dir));
-}
-
-template <typename T, typename Policy>
-inline
-Checked_Number<T, Policy>::Checked_Number(const char* y) {
- std::istringstream s(y);
- Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
- Policy::handle_result(check_result(Checked::input<Policy>(v,
- s,
- rounding_dir(dir)),
- dir));
-}
-
-template <typename T, typename Policy>
-template <typename From>
-inline
-Checked_Number<T, Policy>
-::Checked_Number(const From&,
- Rounding_Dir dir,
- typename Enable_If<Is_Special<From>::value, bool>::type) {
- Policy::handle_result(check_result(Checked::assign_special<Policy>(v,
- From::vclass,
- rounding_dir(dir)),
- dir));
-}
-
-template <typename T, typename Policy>
-template <typename From>
-inline
-Checked_Number<T, Policy>::Checked_Number(const From&, typename Enable_If<Is_Special<From>::value, bool>::type) {
- Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
- Policy::handle_result(check_result(Checked::assign_special<Policy>(v,
- From::vclass,
- rounding_dir(dir)),
- dir));
-}
-
-template <typename To, typename From>
-inline typename Enable_If<Is_Native_Or_Checked<To>::value
- && Is_Special<From>::value, Result>::type
-assign_r(To& to, const From&, Rounding_Dir dir) {
- return check_result(Checked::assign_special<typename Native_Checked_To_Wrapper<To>
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
- From::vclass,
- rounding_dir(dir)),
- dir);
-}
-
-template <typename To, typename From>
-inline typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
-construct(To& to, const From&, Rounding_Dir dir) {
- return check_result(Checked::construct_special<typename Native_Checked_To_Wrapper<To>
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
- From::vclass,
- rounding_dir(dir)),
- dir);
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_minus_infinity(const T& x) {
- return Checked::is_minf<typename Native_Checked_From_Wrapper<T>
- ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_plus_infinity(const T& x) {
- return Checked::is_pinf<typename Native_Checked_From_Wrapper<T>
- ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, int>::type
-infinity_sign(const T& x) {
- return is_minus_infinity(x) ? -1 : (is_plus_infinity(x) ? 1 : 0);
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_not_a_number(const T& x) {
- return Checked::is_nan<typename Native_Checked_From_Wrapper<T>
- ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_integer(const T& x) {
- return Checked::is_int<typename Native_Checked_From_Wrapper<T>
- ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
-}
-
-template <typename T, typename Policy>
-inline
-Checked_Number<T, Policy>::operator T() const {
- if (Policy::convertible)
- return v;
-}
-
-template <typename T, typename Policy>
-inline T&
-Checked_Number<T, Policy>::raw_value() {
- return v;
-}
-
-template <typename T, typename Policy>
-inline const T&
-Checked_Number<T, Policy>::raw_value() const {
- return v;
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline const T&
-raw_value(const Checked_Number<T, Policy>& x) {
- return x.raw_value();
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline T&
-raw_value(Checked_Number<T, Policy>& x) {
- return x.raw_value();
-}
-
-template <typename T, typename Policy>
-inline bool
-Checked_Number<T, Policy>::OK() const {
- return true;
-}
-
-template <typename T, typename Policy>
-inline Result
-Checked_Number<T, Policy>::classify(bool nan, bool inf, bool sign) const {
- return Checked::classify<Policy>(v, nan, inf, sign);
-}
-
-template <typename T, typename Policy>
-inline bool
-is_not_a_number(const Checked_Number<T, Policy>& x) {
- return Checked::is_nan<Policy>(x.raw_value());
-}
-
-template <typename T, typename Policy>
-inline bool
-is_minus_infinity(const Checked_Number<T, Policy>& x) {
- return Checked::is_minf<Policy>(x.raw_value());
-}
-
-template <typename T, typename Policy>
-inline bool
-is_plus_infinity(const Checked_Number<T, Policy>& x) {
- return Checked::is_pinf<Policy>(x.raw_value());
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline memory_size_type
-total_memory_in_bytes(const Checked_Number<T, Policy>& x) {
- return total_memory_in_bytes(x.raw_value());
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline memory_size_type
-external_memory_in_bytes(const Checked_Number<T, Policy>& x) {
- return external_memory_in_bytes(x.raw_value());
-}
-
-
-/*! \relates Checked_Number */
-template <typename To>
-inline typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
-assign_r(To& to, const char* x, Rounding_Dir dir) {
- std::istringstream s(x);
- return check_result(Checked::input<typename Native_Checked_To_Wrapper<To>
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
- s,
- rounding_dir(dir)),
- dir);
-}
-
-#define PPL_DEFINE_FUNC1_A(name, func) \
-template <typename To, typename From> \
-inline typename Enable_If<Is_Native_Or_Checked<To>::value \
- && Is_Native_Or_Checked<From>::value, \
- Result>::type \
- PPL_U(name)(To& to, const From& x, Rounding_Dir dir) { \
- return \
- check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From> \
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
- Native_Checked_From_Wrapper<From>::raw_value(x), \
- rounding_dir(dir)), dir); \
-}
-
-PPL_DEFINE_FUNC1_A(construct, construct_ext)
-PPL_DEFINE_FUNC1_A(assign_r, assign_ext)
-PPL_DEFINE_FUNC1_A(floor_assign_r, floor_ext)
-PPL_DEFINE_FUNC1_A(ceil_assign_r, ceil_ext)
-PPL_DEFINE_FUNC1_A(trunc_assign_r, trunc_ext)
-PPL_DEFINE_FUNC1_A(neg_assign_r, neg_ext)
-PPL_DEFINE_FUNC1_A(abs_assign_r, abs_ext)
-PPL_DEFINE_FUNC1_A(sqrt_assign_r, sqrt_ext)
-
-#undef PPL_DEFINE_FUNC1_A
-
-#define PPL_DEFINE_FUNC1_B(name, func) \
-template <typename To, typename From> \
-inline typename Enable_If<Is_Native_Or_Checked<To>::value \
- && Is_Native_Or_Checked<From>::value, \
- Result>::type \
- PPL_U(name)(To& to, const From& x, unsigned int exp, Rounding_Dir dir) { \
- return \
- check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From> \
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
- Native_Checked_From_Wrapper<From>::raw_value(x), \
- exp, \
- rounding_dir(dir)), \
- dir); \
-}
-
-PPL_DEFINE_FUNC1_B(add_2exp_assign_r, add_2exp_ext)
-PPL_DEFINE_FUNC1_B(sub_2exp_assign_r, sub_2exp_ext)
-PPL_DEFINE_FUNC1_B(mul_2exp_assign_r, mul_2exp_ext)
-PPL_DEFINE_FUNC1_B(div_2exp_assign_r, div_2exp_ext)
-PPL_DEFINE_FUNC1_B(smod_2exp_assign_r, smod_2exp_ext)
-PPL_DEFINE_FUNC1_B(umod_2exp_assign_r, umod_2exp_ext)
-
-#undef PPL_DEFINE_FUNC1_B
-
-#define PPL_DEFINE_FUNC2(name, func) \
-template <typename To, typename From1, typename From2> \
-inline typename Enable_If<Is_Native_Or_Checked<To>::value \
- && Is_Native_Or_Checked<From1>::value \
- && Is_Native_Or_Checked<From2>::value, \
- Result>::type \
- PPL_U(name)(To& to, const From1& x, const From2& y, Rounding_Dir dir) { \
- return \
- check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From1> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From2> \
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
- Native_Checked_From_Wrapper<From1>::raw_value(x), \
- Native_Checked_From_Wrapper<From2>::raw_value(y), \
- rounding_dir(dir)), \
- dir); \
-}
-
-PPL_DEFINE_FUNC2(add_assign_r, add_ext)
-PPL_DEFINE_FUNC2(sub_assign_r, sub_ext)
-PPL_DEFINE_FUNC2(mul_assign_r, mul_ext)
-PPL_DEFINE_FUNC2(div_assign_r, div_ext)
-PPL_DEFINE_FUNC2(idiv_assign_r, idiv_ext)
-PPL_DEFINE_FUNC2(rem_assign_r, rem_ext)
-PPL_DEFINE_FUNC2(gcd_assign_r, gcd_ext)
-PPL_DEFINE_FUNC2(lcm_assign_r, lcm_ext)
-PPL_DEFINE_FUNC2(add_mul_assign_r, add_mul_ext)
-PPL_DEFINE_FUNC2(sub_mul_assign_r, sub_mul_ext)
-
-#undef PPL_DEFINE_FUNC2
-
-#define PPL_DEFINE_FUNC4(name, func) \
-template <typename To1, \
- typename To2, \
- typename To3, \
- typename From1, \
- typename From2> \
-inline typename Enable_If<Is_Native_Or_Checked<To1>::value \
- && Is_Native_Or_Checked<To2>::value \
- && Is_Native_Or_Checked<To3>::value \
- && Is_Native_Or_Checked<From1>::value \
- && Is_Native_Or_Checked<From2>::value, \
- Result>::type \
- PPL_U(name)(To1& to, To2& s, To3& t, const From1& x, const From2& y, \
- Rounding_Dir dir) { \
- return \
- check_result \
- (Checked::func<typename Native_Checked_To_Wrapper<To1>::Policy, \
- typename Native_Checked_To_Wrapper<To2>::Policy, \
- typename Native_Checked_To_Wrapper<To3>::Policy, \
- typename Native_Checked_From_Wrapper<From1>::Policy, \
- typename Native_Checked_From_Wrapper<From2>::Policy> \
- (Native_Checked_To_Wrapper<To1>::raw_value(to), \
- Native_Checked_To_Wrapper<To2>::raw_value(s), \
- Native_Checked_To_Wrapper<To3>::raw_value(t), \
- Native_Checked_From_Wrapper<From1>::raw_value(x), \
- Native_Checked_From_Wrapper<From2>::raw_value(y), \
- rounding_dir(dir)), \
- dir); \
-}
-
-PPL_DEFINE_FUNC4(gcdext_assign_r, gcdext_ext)
-
-#undef PPL_DEFINE_PPL_DEFINE_FUNC4
-
-#define PPL_DEFINE_INCREMENT(f, fun) \
-template <typename T, typename Policy> \
-inline Checked_Number<T, Policy>& \
-Checked_Number<T, Policy>::f() { \
- Policy::handle_result((fun)(*this, *this, T(1), \
- Policy::ROUND_DEFAULT_OPERATOR)); \
- return *this; \
-} \
-template <typename T, typename Policy> \
-inline Checked_Number<T, Policy> \
-Checked_Number<T, Policy>::f(int) {\
- T r = v;\
- Policy::handle_result((fun)(*this, *this, T(1), \
- Policy::ROUND_DEFAULT_OPERATOR)); \
- return r;\
-}
-
-PPL_DEFINE_INCREMENT(operator ++, add_assign_r)
-PPL_DEFINE_INCREMENT(operator --, sub_assign_r)
-
-#undef PPL_DEFINE_INCREMENT
-
-template <typename T, typename Policy>
-inline Checked_Number<T, Policy>&
-Checked_Number<T, Policy>::operator=(const Checked_Number<T, Policy>& y) {
- Checked::copy<Policy, Policy>(v, y.raw_value());
- return *this;
-}
-template <typename T, typename Policy>
-template <typename From>
-inline Checked_Number<T, Policy>&
-Checked_Number<T, Policy>::operator=(const From& y) {
- Policy::handle_result(assign_r(*this, y, Policy::ROUND_DEFAULT_OPERATOR));
- return *this;
-}
-
-#define PPL_DEFINE_BINARY_OP_ASSIGN(f, fun) \
-template <typename T, typename Policy> \
-template <typename From_Policy> \
-inline Checked_Number<T, Policy>& \
-Checked_Number<T, Policy>::f(const Checked_Number<T, From_Policy>& y) { \
- Policy::handle_result((fun)(*this, *this, y, \
- Policy::ROUND_DEFAULT_OPERATOR)); \
- return *this; \
-} \
-template <typename T, typename Policy> \
-inline Checked_Number<T, Policy>& \
-Checked_Number<T, Policy>::f(const T& y) { \
- Policy::handle_result((fun)(*this, *this, y, \
- Policy::ROUND_DEFAULT_OPERATOR)); \
- return *this; \
-} \
-template <typename T, typename Policy> \
-template <typename From> \
-inline typename Enable_If<Is_Native_Or_Checked<From>::value, \
- Checked_Number<T, Policy>& >::type \
-Checked_Number<T, Policy>::f(const From& y) { \
- Checked_Number<T, Policy> cy(y); \
- Policy::handle_result((fun)(*this, *this, cy, \
- Policy::ROUND_DEFAULT_OPERATOR)); \
- return *this; \
-}
-
-PPL_DEFINE_BINARY_OP_ASSIGN(operator +=, add_assign_r)
-PPL_DEFINE_BINARY_OP_ASSIGN(operator -=, sub_assign_r)
-PPL_DEFINE_BINARY_OP_ASSIGN(operator *=, mul_assign_r)
-PPL_DEFINE_BINARY_OP_ASSIGN(operator /=, div_assign_r)
-PPL_DEFINE_BINARY_OP_ASSIGN(operator %=, rem_assign_r)
-
-#undef PPL_DEFINE_BINARY_OP_ASSIGN
-
-#define PPL_DEFINE_BINARY_OP(f, fun) \
-template <typename T, typename Policy> \
-inline Checked_Number<T, Policy> \
- PPL_U(f)(const Checked_Number<T, Policy>& x, \
- const Checked_Number<T, Policy>& y) { \
- Checked_Number<T, Policy> r; \
- Policy::handle_result((fun)(r, x, y, Policy::ROUND_DEFAULT_OPERATOR)); \
- return r; \
-} \
-template <typename Type, typename T, typename Policy> \
-inline \
-typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
- PPL_U(f)(const Type& x, const Checked_Number<T, Policy>& y) { \
- Checked_Number<T, Policy> r(x); \
- Policy::handle_result((fun)(r, r, y, Policy::ROUND_DEFAULT_OPERATOR)); \
- return r; \
-} \
-template <typename T, typename Policy, typename Type> \
-inline \
-typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
- PPL_U(f)(const Checked_Number<T, Policy>& x, const Type& y) { \
- Checked_Number<T, Policy> r(y); \
- Policy::handle_result((fun)(r, x, r, Policy::ROUND_DEFAULT_OPERATOR)); \
- return r; \
-}
-
-PPL_DEFINE_BINARY_OP(operator +, add_assign_r)
-PPL_DEFINE_BINARY_OP(operator -, sub_assign_r)
-PPL_DEFINE_BINARY_OP(operator *, mul_assign_r)
-PPL_DEFINE_BINARY_OP(operator /, div_assign_r)
-PPL_DEFINE_BINARY_OP(operator %, rem_assign_r)
-
-#undef PPL_DEFINE_BINARY_OP
-
-#define PPL_DEFINE_COMPARE_OP(f, fun) \
-template <typename T1, typename T2> \
-inline \
-typename Enable_If<Is_Native_Or_Checked<T1>::value \
- && Is_Native_Or_Checked<T2>::value \
- && (Is_Checked<T1>::value || Is_Checked<T2>::value), \
- bool>::type \
- PPL_U(f)(const T1& x, const T2& y) { \
- return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
- typename Native_Checked_From_Wrapper<T2>::Policy> \
- (Native_Checked_From_Wrapper<T1>::raw_value(x), \
- Native_Checked_From_Wrapper<T2>::raw_value(y)); \
-}
-
-PPL_DEFINE_COMPARE_OP(operator ==, eq_ext)
-PPL_DEFINE_COMPARE_OP(operator !=, ne_ext)
-PPL_DEFINE_COMPARE_OP(operator >=, ge_ext)
-PPL_DEFINE_COMPARE_OP(operator >, gt_ext)
-PPL_DEFINE_COMPARE_OP(operator <=, le_ext)
-PPL_DEFINE_COMPARE_OP(operator <, lt_ext)
-
-#undef PPL_DEFINE_COMPARE_OP
-
-#define PPL_DEFINE_COMPARE(f, fun) \
-template <typename T1, typename T2> \
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value \
- && Is_Native_Or_Checked<T2>::value, \
- bool>::type \
- PPL_U(f)(const T1& x, const T2& y) { \
- return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
- typename Native_Checked_From_Wrapper<T2>::Policy> \
- (Native_Checked_From_Wrapper<T1>::raw_value(x), \
- Native_Checked_From_Wrapper<T2>::raw_value(y)); \
-}
-
-PPL_DEFINE_COMPARE(equal, eq_ext)
-PPL_DEFINE_COMPARE(not_equal, ne_ext)
-PPL_DEFINE_COMPARE(greater_or_equal, ge_ext)
-PPL_DEFINE_COMPARE(greater_than, gt_ext)
-PPL_DEFINE_COMPARE(less_or_equal, le_ext)
-PPL_DEFINE_COMPARE(less_than, lt_ext)
-
-#undef PPL_DEFINE_COMPARE
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline Checked_Number<T, Policy>
-operator+(const Checked_Number<T, Policy>& x) {
- return x;
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline Checked_Number<T, Policy>
-operator-(const Checked_Number<T, Policy>& x) {
- Checked_Number<T, Policy> r;
- Policy::handle_result(neg_assign_r(r, x, Policy::ROUND_DEFAULT_OPERATOR));
- return r;
-}
-
-#define PPL_DEFINE_ASSIGN_FUN2_1(f, fun) \
-template <typename T, typename Policy> \
-inline void \
- PPL_U(f)(Checked_Number<T, Policy>& x) { \
- Policy::handle_result((fun)(x, x, Policy::ROUND_DEFAULT_FUNCTION)); \
-}
-
-#define PPL_DEFINE_ASSIGN_FUN2_2(f, fun) \
-template <typename T, typename Policy> \
-inline void \
- PPL_U(f)(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y) { \
- Policy::handle_result((fun)(x, y, Policy::ROUND_DEFAULT_FUNCTION)); \
-}
-
-#define PPL_DEFINE_ASSIGN_FUN3_3(f, fun) \
-template <typename T, typename Policy> \
-inline void \
- PPL_U(f)(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y, \
- const Checked_Number<T, Policy>& z) { \
- Policy::handle_result((fun)(x, y, z, Policy::ROUND_DEFAULT_FUNCTION)); \
-}
-
-#define PPL_DEFINE_ASSIGN_FUN5_5(f, fun) \
-template <typename T, typename Policy> \
-inline void \
- PPL_U(f)(Checked_Number<T, Policy>& x, \
- Checked_Number<T, Policy>& s, Checked_Number<T, Policy>& t, \
- const Checked_Number<T, Policy>& y, \
- const Checked_Number<T, Policy>& z) { \
- Policy::handle_result((fun)(x, s, t, y, z, Policy::ROUND_DEFAULT_FUNCTION)); \
-}
-
-PPL_DEFINE_ASSIGN_FUN2_2(sqrt_assign, sqrt_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN2_1(floor_assign, floor_assign_r)
-PPL_DEFINE_ASSIGN_FUN2_2(floor_assign, floor_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN2_1(ceil_assign, ceil_assign_r)
-PPL_DEFINE_ASSIGN_FUN2_2(ceil_assign, ceil_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN2_1(trunc_assign, trunc_assign_r)
-PPL_DEFINE_ASSIGN_FUN2_2(trunc_assign, trunc_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN2_1(neg_assign, neg_assign_r)
-PPL_DEFINE_ASSIGN_FUN2_2(neg_assign, neg_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN2_1(abs_assign, abs_assign_r)
-PPL_DEFINE_ASSIGN_FUN2_2(abs_assign, abs_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN3_3(add_mul_assign, add_mul_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN3_3(sub_mul_assign, sub_mul_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN3_3(rem_assign, rem_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN3_3(gcd_assign, gcd_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN5_5(gcdext_assign, gcdext_assign_r)
-
-PPL_DEFINE_ASSIGN_FUN3_3(lcm_assign, lcm_assign_r)
-
-#undef PPL_DEFINE_ASSIGN_FUN2_1
-#undef PPL_DEFINE_ASSIGN_FUN2_2
-#undef PPL_DEFINE_ASSIGN_FUN3_2
-#undef PPL_DEFINE_ASSIGN_FUN3_3
-#undef PPL_DEFINE_ASSIGN_FUN5_5
-
-#define PPL_DEFINE_ASSIGN_2EXP(f, fun) \
-template <typename T, typename Policy> \
-inline void \
- PPL_U(f)(Checked_Number<T, Policy>& x, \
- const Checked_Number<T, Policy>& y, unsigned int exp) { \
- Policy::handle_result((fun)(x, y, exp, Policy::ROUND_DEFAULT_FUNCTION)); \
-}
-
-PPL_DEFINE_ASSIGN_2EXP(mul_2exp_assign, mul_2exp_assign_r)
-PPL_DEFINE_ASSIGN_2EXP(div_2exp_assign, div_2exp_assign_r)
-
-template <typename T, typename Policy>
-inline void
-exact_div_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z) {
- Policy::handle_result(div_assign_r(x, y, z, ROUND_NOT_NEEDED));
-}
-
-/*! \relates Checked_Number */
-template <typename From>
-inline typename Enable_If<Is_Native_Or_Checked<From>::value, int>::type
-sgn(const From& x) {
- Result_Relation r = Checked::sgn_ext<typename Native_Checked_From_Wrapper<From>::Policy>(Native_Checked_From_Wrapper<From>::raw_value(x));
- switch (r) {
- case VR_LT:
- return -1;
- case VR_EQ:
- return 0;
- case VR_GT:
- return 1;
- default:
- throw(0);
- }
-}
-
-/*! \relates Checked_Number */
-template <typename From1, typename From2>
-inline typename Enable_If<Is_Native_Or_Checked<From1>::value
- && Is_Native_Or_Checked<From2>::value,
- int>::type
-cmp(const From1& x, const From2& y) {
- Result_Relation r
- = Checked::cmp_ext<typename Native_Checked_From_Wrapper<From1>::Policy,
- typename Native_Checked_From_Wrapper<From2>::Policy>
- (Native_Checked_From_Wrapper<From1>::raw_value(x),
- Native_Checked_From_Wrapper<From2>::raw_value(y));
- switch (r) {
- case VR_LT:
- return -1;
- case VR_EQ:
- return 0;
- case VR_GT:
- return 1;
- default:
- throw(0);
- }
-}
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
-output(std::ostream& os, const T& x,
- const Numeric_Format& format, Rounding_Dir dir) {
- return check_result(Checked::output_ext<typename Native_Checked_From_Wrapper<T>::Policy>
- (os,
- Native_Checked_From_Wrapper<T>::raw_value(x),
- format,
- rounding_dir(dir)),
- dir);
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline std::ostream&
-operator<<(std::ostream& os, const Checked_Number<T, Policy>& x) {
- Policy::handle_result(output(os, x, Numeric_Format(), ROUND_IGNORE));
- return os;
-}
-
-/*! \relates Checked_Number */
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
-input(T& x, std::istream& is, Rounding_Dir dir) {
- return check_result(Checked::input_ext<typename Native_Checked_To_Wrapper<T>::Policy>
- (Native_Checked_To_Wrapper<T>::raw_value(x),
- is,
- rounding_dir(dir)),
- dir);
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline std::istream& operator>>(std::istream& is,
- Checked_Number<T, Policy>& x) {
- Result r = input(x, is, Policy::ROUND_DEFAULT_INPUT);
- if (r == V_CVT_STR_UNK)
- is.setstate(std::ios::failbit);
- else
- Policy::handle_result(r);
- return is;
-}
-
-template <typename T>
-inline T
-plus_infinity() {
- return PLUS_INFINITY;
-}
-
-template <typename T>
-inline T
-minus_infinity() {
- return MINUS_INFINITY;
-}
-
-template <typename T>
-inline T
-not_a_number() {
- return NOT_A_NUMBER;
-}
-
-/*! \relates Checked_Number */
-template <typename T, typename Policy>
-inline void
-swap(Checked_Number<T, Policy>& x, Checked_Number<T, Policy>& y) {
- using std::swap;
- swap(x.raw_value(), y.raw_value());
-}
-
-template <typename T>
-inline void
-maybe_reset_fpu_inexact() {
- if (FPU_Related<T>::value)
- return fpu_reset_inexact();
-}
-
-template <typename T>
-inline int
-maybe_check_fpu_inexact() {
- if (FPU_Related<T>::value)
- return fpu_check_inexact();
- else
- return 0;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Checked_Number_inlines_hh)
diff --git a/src/Checked_Number.templates.hh b/src/Checked_Number.templates.hh
deleted file mode 100644
index 5c6c596..0000000
--- a/src/Checked_Number.templates.hh
+++ /dev/null
@@ -1,149 +0,0 @@
-/* Checked_Number class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Checked_Number_templates_hh
-#define PPL_Checked_Number_templates_hh 1
-
-#include "assert.hh"
-#include <iomanip>
-#include <limits>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
-ascii_dump(std::ostream& s, const T& t) {
- if (std::numeric_limits<T>::is_exact)
- // An exact data type: pretty printer is accurate.
- s << t;
- else {
- // An inexact data type (probably floating point):
- // first dump its hexadecimal representation ...
- const std::ios::fmtflags old_flags = s.setf(std::ios::hex,
- std::ios::basefield);
- const unsigned char* p = reinterpret_cast<const unsigned char*>(&t);
- for (unsigned i = 0; i < sizeof(T); ++i) {
- s << std::setw(2) << std::setfill('0') << static_cast<unsigned>(p[i]);
- }
- s.flags(old_flags);
- // ... and then pretty print it for readability.
- s << " (" << t << ")";
- }
-}
-
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-ascii_load(std::istream& s, T& t) {
- if (std::numeric_limits<T>::is_exact) {
- // An exact data type: input from pretty printed version is accurate.
- s >> t;
- return !s.fail();
- }
- else {
- // An inexact data type (probably floating point):
- // first load its hexadecimal representation ...
- std::string str;
- if (!(s >> str) || str.size() != 2*sizeof(T))
- return false;
- unsigned char* p = reinterpret_cast<unsigned char*>(&t);
- // CHECKME: any (portable) simpler way?
- for (unsigned i = 0; i < sizeof(T); ++i) {
- unsigned byte_value = 0;
- for (unsigned j = 0; j < 2; ++j) {
- byte_value <<= 4;
- unsigned half_byte_value;
- // Interpret single hex character.
- switch (str[2*i + j]) {
- case '0':
- half_byte_value = 0;
- break;
- case '1':
- half_byte_value = 1;
- break;
- case '2':
- half_byte_value = 2;
- break;
- case '3':
- half_byte_value = 3;
- break;
- case '4':
- half_byte_value = 4;
- break;
- case '5':
- half_byte_value = 5;
- break;
- case '6':
- half_byte_value = 6;
- break;
- case '7':
- half_byte_value = 7;
- break;
- case '8':
- half_byte_value = 8;
- break;
- case '9':
- half_byte_value = 9;
- break;
- case 'A':
- case 'a':
- half_byte_value = 10;
- break;
- case 'B':
- case 'b':
- half_byte_value = 11;
- break;
- case 'C':
- case 'c':
- half_byte_value = 12;
- break;
- case 'D':
- case 'd':
- half_byte_value = 13;
- break;
- case 'E':
- case 'e':
- half_byte_value = 14;
- break;
- case 'F':
- case 'f':
- half_byte_value = 15;
- break;
- default:
- return false;
- }
- byte_value += half_byte_value;
- }
- PPL_ASSERT(byte_value <= 255);
- p[i] = static_cast<unsigned char>(byte_value);
- }
- // ... then read and discard pretty printed value.
- if (!(s >> str))
- return false;
- const std::string::size_type sz = str.size();
- return sz > 2 && str[0] == '(' && str[sz-1] == ')';
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Checked_Number_templates_hh)
diff --git a/src/Checked_Number.types.hh b/src/Checked_Number.types.hh
deleted file mode 100644
index b8db511..0000000
--- a/src/Checked_Number.types.hh
+++ /dev/null
@@ -1,27 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Checked_Number_types_hh
-#define PPL_Checked_Number_types_hh 1
-
-#include "Coefficient_traits_template.hh"
-
-namespace Parma_Polyhedra_Library {
-
-struct Extended_Number_Policy;
-
-template <typename T, typename Policy>
-class Checked_Number;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Checked_Number_types_hh)
diff --git a/src/Checked_Number_defs.hh b/src/Checked_Number_defs.hh
new file mode 100644
index 0000000..1ee1f6d
--- /dev/null
+++ b/src/Checked_Number_defs.hh
@@ -0,0 +1,1068 @@
+/* Checked_Number class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Checked_Number_defs_hh
+#define PPL_Checked_Number_defs_hh 1
+
+#include "Checked_Number_types.hh"
+#include "checked_defs.hh"
+#include "meta_programming.hh"
+#include "Slow_Copy.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct Extended_Number_Policy {
+ const_bool_nodef(check_overflow, true);
+ const_bool_nodef(check_inf_add_inf, false);
+ const_bool_nodef(check_inf_sub_inf, false);
+ const_bool_nodef(check_inf_mul_zero, false);
+ const_bool_nodef(check_div_zero, false);
+ const_bool_nodef(check_inf_div_inf, false);
+ const_bool_nodef(check_inf_mod, false);
+ const_bool_nodef(check_sqrt_neg, false);
+ const_bool_nodef(has_nan, true);
+ const_bool_nodef(has_infinity, true);
+
+ // `convertible' is intentionally not defined: the compile time
+ // error on conversions is the expected behavior.
+
+ const_bool_nodef(fpu_check_inexact, true);
+ const_bool_nodef(fpu_check_nan_result, true);
+
+ // ROUND_DEFAULT_CONSTRUCTOR is intentionally not defined.
+ // ROUND_DEFAULT_OPERATOR is intentionally not defined.
+ // ROUND_DEFAULT_FUNCTION is intentionally not defined.
+ // ROUND_DEFAULT_INPUT is intentionally not defined.
+ // ROUND_DEFAULT_OUTPUT is intentionally not defined.
+
+ static void handle_result(Result r);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A policy checking for overflows.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+struct Check_Overflow_Policy {
+ const_bool_nodef(check_overflow, true);
+ const_bool_nodef(check_inf_add_inf, false);
+ const_bool_nodef(check_inf_sub_inf, false);
+ const_bool_nodef(check_inf_mul_zero, false);
+ const_bool_nodef(check_div_zero, false);
+ const_bool_nodef(check_inf_div_inf, false);
+ const_bool_nodef(check_inf_mod, false);
+ const_bool_nodef(check_sqrt_neg, false);
+ const_bool_nodef(has_nan, std::numeric_limits<T>::has_quiet_NaN);
+ const_bool_nodef(has_infinity, std::numeric_limits<T>::has_infinity);
+ const_bool_nodef(convertible, true);
+ const_bool_nodef(fpu_check_inexact, true);
+ const_bool_nodef(fpu_check_nan_result, true);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename Enable = void>
+struct Native_Checked_From_Wrapper;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+struct Native_Checked_From_Wrapper<T, typename Enable_If<Is_Native<T>::value>::type> {
+ typedef Checked_Number_Transparent_Policy<T> Policy;
+ static const T& raw_value(const T& v) {
+ return v;
+ }
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename P>
+struct Native_Checked_From_Wrapper<Checked_Number<T, P> > {
+ typedef P Policy;
+ static const T& raw_value(const Checked_Number<T, P>& v) {
+ return v.raw_value();
+ }
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename Enable = void>
+struct Native_Checked_To_Wrapper;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+struct Native_Checked_To_Wrapper<T, typename Enable_If<Is_Native<T>::value>::type> {
+ typedef Check_Overflow_Policy<T> Policy;
+ static T& raw_value(T& v) {
+ return v;
+ }
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename P>
+struct Native_Checked_To_Wrapper<Checked_Number<T, P> > {
+ typedef P Policy;
+ static T& raw_value(Checked_Number<T, P>& v) {
+ return v.raw_value();
+ }
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+struct Is_Checked : public False { };
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename P>
+struct Is_Checked<Checked_Number<T, P> > : public True { };
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+struct Is_Native_Or_Checked
+ : public Bool<Is_Native<T>::value || Is_Checked<T>::value> { };
+
+//! A wrapper for numeric types implementing a given policy.
+/*! \ingroup PPL_CXX_interface
+ The wrapper and related functions implement an interface which is common
+ to all kinds of coefficient types, therefore allowing for a uniform
+ coding style. This class also implements the policy encoded by the
+ second template parameter. The default policy is to perform the detection
+ of overflow errors.
+*/
+template <typename T, typename Policy>
+class Checked_Number {
+public:
+
+ //! \name Constructors
+ //@{
+
+ //! Default constructor.
+ Checked_Number();
+
+ //! Copy constructor.
+ Checked_Number(const Checked_Number& y);
+
+ //! Direct initialization from a Checked_Number and rounding mode.
+ template <typename From, typename From_Policy>
+ Checked_Number(const Checked_Number<From, From_Policy>& y, Rounding_Dir dir);
+
+ //! Direct initialization from a plain char and rounding mode.
+ Checked_Number(char y, Rounding_Dir dir);
+
+ //! Direct initialization from a signed char and rounding mode.
+ Checked_Number(signed char y, Rounding_Dir dir);
+
+ //! Direct initialization from a signed short and rounding mode.
+ Checked_Number(signed short y, Rounding_Dir dir);
+
+ //! Direct initialization from a signed int and rounding mode.
+ Checked_Number(signed int y, Rounding_Dir dir);
+
+ //! Direct initialization from a signed long and rounding mode.
+ Checked_Number(signed long y, Rounding_Dir dir);
+
+ //! Direct initialization from a signed long long and rounding mode.
+ Checked_Number(signed long long y, Rounding_Dir dir);
+
+ //! Direct initialization from an unsigned char and rounding mode.
+ Checked_Number(unsigned char y, Rounding_Dir dir);
+
+ //! Direct initialization from an unsigned short and rounding mode.
+ Checked_Number(unsigned short y, Rounding_Dir dir);
+
+ //! Direct initialization from an unsigned int and rounding mode.
+ Checked_Number(unsigned int y, Rounding_Dir dir);
+
+ //! Direct initialization from an unsigned long and rounding mode.
+ Checked_Number(unsigned long y, Rounding_Dir dir);
+
+ //! Direct initialization from an unsigned long long and rounding mode.
+ Checked_Number(unsigned long long y, Rounding_Dir dir);
+
+#if PPL_SUPPORTED_FLOAT
+ //! Direct initialization from a float and rounding mode.
+ Checked_Number(float y, Rounding_Dir dir);
+#endif
+
+#if PPL_SUPPORTED_DOUBLE
+ //! Direct initialization from a double and rounding mode.
+ Checked_Number(double y, Rounding_Dir dir);
+#endif
+
+#if PPL_SUPPORTED_LONG_DOUBLE
+ //! Direct initialization from a long double and rounding mode.
+ Checked_Number(long double y, Rounding_Dir dir);
+#endif
+
+ //! Direct initialization from a rational and rounding mode.
+ Checked_Number(const mpq_class& y, Rounding_Dir dir);
+
+ //! Direct initialization from an unbounded integer and rounding mode.
+ Checked_Number(const mpz_class& y, Rounding_Dir dir);
+
+ //! Direct initialization from a C string and rounding mode.
+ Checked_Number(const char* y, Rounding_Dir dir);
+
+ //! Direct initialization from special and rounding mode.
+ template <typename From>
+ Checked_Number(const From&, Rounding_Dir dir, typename Enable_If<Is_Special<From>::value, bool>::type ignored = false);
+
+ //! Direct initialization from a Checked_Number, default rounding mode.
+ template <typename From, typename From_Policy>
+ explicit Checked_Number(const Checked_Number<From, From_Policy>& y);
+
+ //! Direct initialization from a plain char, default rounding mode.
+ Checked_Number(char y);
+
+ //! Direct initialization from a signed char, default rounding mode.
+ Checked_Number(signed char y);
+
+ //! Direct initialization from a signed short, default rounding mode.
+ Checked_Number(signed short y);
+
+ //! Direct initialization from a signed int, default rounding mode.
+ Checked_Number(signed int y);
+
+ //! Direct initialization from a signed long, default rounding mode.
+ Checked_Number(signed long y);
+
+ //! Direct initialization from a signed long long, default rounding mode.
+ Checked_Number(signed long long y);
+
+ //! Direct initialization from an unsigned char, default rounding mode.
+ Checked_Number(unsigned char y);
+
+ //! Direct initialization from an unsigned short, default rounding mode.
+ Checked_Number(unsigned short y);
+
+ //! Direct initialization from an unsigned int, default rounding mode.
+ Checked_Number(unsigned int y);
+
+ //! Direct initialization from an unsigned long, default rounding mode.
+ Checked_Number(unsigned long y);
+
+ //! Direct initialization from an unsigned long long, default rounding mode.
+ Checked_Number(unsigned long long y);
+
+ //! Direct initialization from a float, default rounding mode.
+ Checked_Number(float y);
+
+ //! Direct initialization from a double, default rounding mode.
+ Checked_Number(double y);
+
+ //! Direct initialization from a long double, default rounding mode.
+ Checked_Number(long double y);
+
+ //! Direct initialization from a rational, default rounding mode.
+ Checked_Number(const mpq_class& y);
+
+ //! Direct initialization from an unbounded integer, default rounding mode.
+ Checked_Number(const mpz_class& y);
+
+ //! Direct initialization from a C string, default rounding mode.
+ Checked_Number(const char* y);
+
+ //! Direct initialization from special, default rounding mode
+ template <typename From>
+ Checked_Number(const From&, typename Enable_If<Is_Special<From>::value, bool>::type ignored = false);
+
+
+ //@} // Constructors
+
+ //! \name Accessors and Conversions
+ //@{
+
+ //! Conversion operator: returns a copy of the underlying numeric value.
+ operator T() const;
+
+ //! Returns a reference to the underlying numeric value.
+ T& raw_value();
+
+ //! Returns a const reference to the underlying numeric value.
+ const T& raw_value() const;
+
+ //@} // Accessors and Conversions
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //! Classifies *this.
+ /*!
+ Returns the appropriate Result characterizing:
+ - whether \p *this is NaN,
+ if \p nan is <CODE>true</CODE>;
+ - whether \p *this is a (positive or negative) infinity,
+ if \p inf is <CODE>true</CODE>;
+ - the sign of \p *this,
+ if \p sign is <CODE>true</CODE>.
+ */
+ Result classify(bool nan = true, bool inf = true, bool sign = true) const;
+
+ //! \name Assignment Operators
+ //@{
+
+ //! Assignment operator.
+ Checked_Number& operator=(const Checked_Number& y);
+
+ //! Assignment operator.
+ template <typename From>
+ Checked_Number& operator=(const From& y);
+
+ //! Add and assign operator.
+ template <typename From_Policy>
+ Checked_Number& operator+=(const Checked_Number<T, From_Policy>& y);
+
+ //! Add and assign operator.
+ Checked_Number& operator+=(const T& y);
+
+ //! Add and assign operator.
+ template <typename From>
+ typename Enable_If<Is_Native_Or_Checked<From>::value,
+ Checked_Number<T, Policy>&>::type
+ operator+=(const From& y);
+
+ //! Subtract and assign operator.
+ template <typename From_Policy>
+ Checked_Number& operator-=(const Checked_Number<T, From_Policy>& y);
+
+ //! Subtract and assign operator.
+ Checked_Number& operator-=(const T& y);
+
+ //! Subtract and assign operator.
+ template <typename From>
+ typename Enable_If<Is_Native_Or_Checked<From>::value,
+ Checked_Number<T, Policy>&>::type
+ operator-=(const From& y);
+
+ //! Multiply and assign operator.
+ template <typename From_Policy>
+ Checked_Number& operator*=(const Checked_Number<T, From_Policy>& y);
+
+ //! Multiply and assign operator.
+ Checked_Number& operator*=(const T& y);
+
+ //! Multiply and assign operator.
+ template <typename From>
+ typename Enable_If<Is_Native_Or_Checked<From>::value,
+ Checked_Number<T, Policy>&>::type
+ operator*=(const From& y);
+
+ //! Divide and assign operator.
+ template <typename From_Policy>
+ Checked_Number& operator/=(const Checked_Number<T, From_Policy>& y);
+
+ //! Divide and assign operator.
+ Checked_Number& operator/=(const T& y);
+
+ //! Divide and assign operator.
+ template <typename From>
+ typename Enable_If<Is_Native_Or_Checked<From>::value,
+ Checked_Number<T, Policy>&>::type
+ operator/=(const From& y);
+
+ //! Compute remainder and assign operator.
+ template <typename From_Policy>
+ Checked_Number& operator%=(const Checked_Number<T, From_Policy>& y);
+
+ //! Compute remainder and assign operator.
+ Checked_Number& operator%=(const T& y);
+
+ //! Compute remainder and assign operator.
+ template <typename From>
+ typename Enable_If<Is_Native_Or_Checked<From>::value,
+ Checked_Number<T, Policy>& >::type
+ operator%=(const From& y);
+
+ //@} // Assignment Operators
+
+
+ //! \name Increment and Decrement Operators
+ //@{
+
+ //! Pre-increment operator.
+ Checked_Number& operator++();
+
+ //! Post-increment operator.
+ Checked_Number operator++(int);
+
+ //! Pre-decrement operator.
+ Checked_Number& operator--();
+
+ //! Post-decrement operator.
+ Checked_Number operator--(int);
+
+ //@} // Increment and Decrement Operators
+
+private:
+ //! The underlying numeric value.
+ T v;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename P>
+struct Slow_Copy<Checked_Number<T, P> > : public Bool<Slow_Copy<T>::value> {};
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_not_a_number(const T& x);
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_minus_infinity(const T& x);
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_plus_infinity(const T& x);
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, int>::type
+infinity_sign(const T& x);
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_integer(const T& x);
+
+/*! \relates Checked_Number */
+template <typename To, typename From>
+typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
+construct(To& to, const From& x, Rounding_Dir dir);
+
+/*! \relates Checked_Number */
+template <typename To, typename From>
+typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
+assign_r(To& to, const From& x, Rounding_Dir dir);
+
+/*! \relates Checked_Number */
+template <typename To>
+typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
+assign_r(To& to, const char* x, Rounding_Dir dir);
+
+/*! \relates Checked_Number */
+template <typename To, typename To_Policy>
+typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
+assign_r(To& to, char* x, Rounding_Dir dir);
+
+#define PPL_DECLARE_FUNC1_A(name) \
+template <typename To, typename From> \
+typename Enable_If<Is_Native_Or_Checked<To>::value \
+ && Is_Native_Or_Checked<From>::value, \
+ Result>::type \
+ PPL_U(name)(To& to, const From& x, Rounding_Dir dir);
+
+PPL_DECLARE_FUNC1_A(assign_r)
+PPL_DECLARE_FUNC1_A(floor_assign_r)
+PPL_DECLARE_FUNC1_A(ceil_assign_r)
+PPL_DECLARE_FUNC1_A(trunc_assign_r)
+PPL_DECLARE_FUNC1_A(neg_assign_r)
+PPL_DECLARE_FUNC1_A(abs_assign_r)
+PPL_DECLARE_FUNC1_A(sqrt_assign_r)
+
+#undef PPL_DECLARE_FUNC1_A
+
+#define PPL_DECLARE_FUNC1_B(name) \
+template <typename To, typename From> \
+typename Enable_If<Is_Native_Or_Checked<To>::value \
+ && Is_Native_Or_Checked<From>::value, \
+ Result>::type \
+ PPL_U(name)(To& to, const From& x, unsigned int exp, Rounding_Dir dir);
+
+PPL_DECLARE_FUNC1_B(add_2exp_assign_r)
+PPL_DECLARE_FUNC1_B(sub_2exp_assign_r)
+PPL_DECLARE_FUNC1_B(mul_2exp_assign_r)
+PPL_DECLARE_FUNC1_B(div_2exp_assign_r)
+PPL_DECLARE_FUNC1_B(smod_2exp_assign_r)
+PPL_DECLARE_FUNC1_B(umod_2exp_assign_r)
+
+#undef PPL_DECLARE_FUNC1_B
+
+#define PPL_DECLARE_FUNC2(name) \
+template <typename To, typename From1, typename From2> \
+typename Enable_If<Is_Native_Or_Checked<To>::value \
+ && Is_Native_Or_Checked<From1>::value \
+ && Is_Native_Or_Checked<From2>::value, \
+ Result>::type \
+ PPL_U(name)(To& to, const From1& x, const From2& y, Rounding_Dir dir);
+
+PPL_DECLARE_FUNC2(add_assign_r)
+PPL_DECLARE_FUNC2(sub_assign_r)
+PPL_DECLARE_FUNC2(mul_assign_r)
+PPL_DECLARE_FUNC2(div_assign_r)
+PPL_DECLARE_FUNC2(idiv_assign_r)
+PPL_DECLARE_FUNC2(rem_assign_r)
+PPL_DECLARE_FUNC2(gcd_assign_r)
+PPL_DECLARE_FUNC2(lcm_assign_r)
+PPL_DECLARE_FUNC2(add_mul_assign_r)
+PPL_DECLARE_FUNC2(sub_mul_assign_r)
+
+#undef PPL_DECLARE_FUNC2
+
+#define PPL_DECLARE_FUNC4(name) \
+template <typename To1, typename To2, typename To3, \
+ typename From1, typename From2> \
+typename Enable_If<Is_Native_Or_Checked<To1>::value \
+ && Is_Native_Or_Checked<To2>::value \
+ && Is_Native_Or_Checked<To3>::value \
+ && Is_Native_Or_Checked<From1>::value \
+ && Is_Native_Or_Checked<From2>::value, \
+ Result>::type \
+ PPL_U(name)(To1& to, To2& s, To3& t, \
+ const From1& x, const From2& y, \
+ Rounding_Dir dir);
+
+PPL_DECLARE_FUNC4(gcdext_assign_r)
+
+#undef PPL_DECLARE_FUNC4
+
+//! \name Accessor Functions
+//@{
+
+//@} // Accessor Functions
+
+//! \name Memory Size Inspection Functions
+//@{
+
+//! Returns the total size in bytes of the memory occupied by \p x.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+memory_size_type
+total_memory_in_bytes(const Checked_Number<T, Policy>& x);
+
+//! Returns the size in bytes of the memory managed by \p x.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+memory_size_type
+external_memory_in_bytes(const Checked_Number<T, Policy>& x);
+
+//@} // Memory Size Inspection Functions
+
+//! \name Arithmetic Operators
+//@{
+
+//! Unary plus operator.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+Checked_Number<T, Policy>
+operator+(const Checked_Number<T, Policy>& x);
+
+//! Unary minus operator.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+Checked_Number<T, Policy>
+operator-(const Checked_Number<T, Policy>& x);
+
+//! Assigns to \p x largest integral value not greater than \p x.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+floor_assign(Checked_Number<T, Policy>& x);
+
+//! Assigns to \p x largest integral value not greater than \p y.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+floor_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
+
+//! Assigns to \p x smallest integral value not less than \p x.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+ceil_assign(Checked_Number<T, Policy>& x);
+
+//! Assigns to \p x smallest integral value not less than \p y.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+ceil_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
+
+//! Round \p x to the nearest integer not larger in absolute value.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+trunc_assign(Checked_Number<T, Policy>& x);
+
+//! Assigns to \p x the value of \p y rounded to the nearest integer not larger in absolute value.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+trunc_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
+
+//! Assigns to \p x its negation.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+neg_assign(Checked_Number<T, Policy>& x);
+
+//! Assigns to \p x the negation of \p y.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+neg_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
+
+//! Assigns to \p x its absolute value.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+abs_assign(Checked_Number<T, Policy>& x);
+
+//! Assigns to \p x the absolute value of \p y.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+abs_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
+
+//! Assigns to \p x the value <CODE>x + y * z</CODE>.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+add_mul_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
+
+//! Assigns to \p x the value <CODE>x - y * z</CODE>.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+sub_mul_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
+
+//! Assigns to \p x the greatest common divisor of \p y and \p z.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+gcd_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
+
+/*! \brief
+ Assigns to \p x the greatest common divisor of \p y and \p z,
+ setting \p s and \p t such that s*y + t*z = x = gcd(y, z).
+*/
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+gcdext_assign(Checked_Number<T, Policy>& x,
+ Checked_Number<T, Policy>& s,
+ Checked_Number<T, Policy>& t,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
+
+//! Assigns to \p x the least common multiple of \p y and \p z.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+lcm_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
+
+//! Assigns to \p x the value \f$ y \cdot 2^\mathtt{exp} \f$.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+mul_2exp_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ unsigned int exp);
+
+//! Assigns to \p x the value \f$ y / 2^\mathtt{exp} \f$.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void
+div_2exp_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ unsigned int exp);
+
+/*! \brief
+ If \p z divides \p y, assigns to \p x the quotient of the integer
+ division of \p y and \p z.
+
+ \relates Checked_Number
+ The behavior is undefined if \p z does not divide \p y.
+*/
+template <typename T, typename Policy>
+void
+exact_div_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
+
+//! Assigns to \p x the integer square root of \p y.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void sqrt_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y);
+
+//@} // Arithmetic Operators
+
+
+//! \name Relational Operators and Comparison Functions
+//@{
+
+//! Equality operator.
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline
+typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value),
+ bool>::type
+operator==(const T1& x, const T2& y);
+
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
+equal(const T1& x, const T2& y);
+
+//! Disequality operator.
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline
+typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value),
+ bool>::type
+operator!=(const T1& x, const T2& y);
+
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
+not_equal(const T1& x, const T2& y);
+
+//! Greater than or equal to operator.
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline
+typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value),
+ bool>::type
+operator>=(const T1& x, const T2& y);
+
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
+greater_or_equal(const T1& x, const T2& y);
+
+//! Greater than operator.
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline
+typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value),
+ bool>::type
+operator>(const T1& x, const T2& y);
+
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
+greater_than(const T1& x, const T2& y);
+
+//! Less than or equal to operator.
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline
+typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value),
+ bool>::type
+operator<=(const T1& x, const T2& y);
+
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
+less_or_equal(const T1& x, const T2& y);
+
+//! Less than operator.
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline
+typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value),
+ bool>::type
+operator<(const T1& x, const T2& y);
+
+/*! \relates Checked_Number */
+template <typename T1, typename T2>
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
+less_than(const T1& x, const T2& y);
+
+/*! \brief
+ Returns \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether the value
+ of \p x is negative, zero or positive, respectively.
+
+ \relates Checked_Number
+*/
+template <typename From>
+inline typename Enable_If<Is_Native_Or_Checked<From>::value, int>::type \
+sgn(const From& x);
+
+/*! \brief
+ Returns a negative, zero or positive value depending on whether
+ \p x is lower than, equal to or greater than \p y, respectively.
+
+ \relates Checked_Number
+*/
+template <typename From1, typename From2>
+inline typename Enable_If<Is_Native_Or_Checked<From1>::value
+ && Is_Native_Or_Checked<From2>::value,
+ int>::type
+cmp(const From1& x, const From2& y);
+
+//@} // Relational Operators and Comparison Functions
+
+//! \name Input-Output Operators
+//@{
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
+output(std::ostream& os,
+ const T& x,
+ const Numeric_Format& format,
+ Rounding_Dir dir);
+
+//! Output operator.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+std::ostream&
+operator<<(std::ostream& os, const Checked_Number<T, Policy>& x);
+
+//! Ascii dump for native or checked.
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
+ascii_dump(std::ostream& s, const T& t);
+
+//! Input function.
+/*!
+ \relates Checked_Number
+
+ \param is
+ Input stream to read from;
+
+ \param x
+ Number (possibly extended) to assign to in case of successful reading;
+
+ \param dir
+ Rounding mode to be applied.
+
+ \return
+ Result of the input operation. Success, success with imprecision,
+ overflow, parsing error: all possibilities are taken into account,
+ checked for, and properly reported.
+
+ This function attempts reading a (possibly extended) number from the given
+ stream \p is, possibly rounding as specified by \p dir, assigning the result
+ to \p x upon success, and returning the appropriate Result.
+
+ The input syntax allows the specification of:
+ - plain base-10 integer numbers as <CODE>34976098</CODE>,
+ <CODE>-77</CODE> and <CODE>+13</CODE>;
+ - base-10 integer numbers in scientific notation as <CODE>15e2</CODE>
+ and <CODE>15*^2</CODE> (both meaning \f$15 \cdot 10^2 = 1500\f$),
+ <CODE>9200e-2</CODE> and <CODE>-18*^+11111111111111111</CODE>;
+ - base-10 rational numbers in fraction notation as
+ <CODE>15/3</CODE> and <CODE>15/-3</CODE>;
+ - base-10 rational numbers in fraction/scientific notation as
+ <CODE>15/30e-1</CODE> (meaning \f$5\f$) and <CODE>15*^-3/29e2</CODE>
+ (meaning \f$3/580000\f$);
+ - base-10 rational numbers in floating point notation as
+ <CODE>71.3</CODE> (meaning \f$713/10\f$) and
+ <CODE>-0.123456</CODE> (meaning \f$-1929/15625\f$);
+ - base-10 rational numbers in floating point scientific notation as
+ <CODE>2.2e-1</CODE> (meaning \f$11/50\f$) and <CODE>-2.20001*^+3</CODE>
+ (meaning \f$-220001/100\f$);
+ - integers and rationals (in fractional, floating point and scientific
+ notations) specified by using Mathematica-style bases, in the range
+ from 2 to 36, as
+ <CODE>2^^11</CODE> (meaning \f$3\f$),
+ <CODE>36^^z</CODE> (meaning \f$35\f$),
+ <CODE>36^^xyz</CODE> (meaning \f$44027\f$),
+ <CODE>2^^11.1</CODE> (meaning \f$7/2\f$),
+ <CODE>10^^2e3</CODE> (meaning \f$2000\f$),
+ <CODE>8^^2e3</CODE> (meaning \f$1024\f$),
+ <CODE>8^^2.1e3</CODE> (meaning \f$1088\f$),
+ <CODE>8^^20402543.120347e7</CODE> (meaning \f$9073863231288\f$),
+ <CODE>8^^2.1</CODE> (meaning \f$17/8\f$);
+ note that the base and the exponent are always written as plain
+ base-10 integer numbers; also, when an ambiguity may arise, the
+ character <CODE>e</CODE> is interpreted as a digit, so that
+ <CODE>16^^1e2</CODE> (meaning \f$482\f$) is different from
+ <CODE>16^^1*^2</CODE> (meaning \f$256\f$);
+ - the C-style hexadecimal prefix <CODE>0x</CODE> is interpreted as
+ the Mathematica-style prefix <CODE>16^^</CODE>;
+ - the C-style binary exponent indicator <CODE>p</CODE> can only be used
+ when base 16 has been specified; if used, the exponent will be
+ applied to base 2 (instead of base 16, as is the case when the
+ indicator <CODE>e</CODE> is used);
+ - special values like <CODE>inf</CODE> and <CODE>+inf</CODE>
+ (meaning \f$+\infty\f$), <CODE>-inf</CODE> (meaning \f$-\infty\f$),
+ and <CODE>nan</CODE> (meaning "not a number").
+
+ The rationale behind the accepted syntax can be summarized as follows:
+ - if the syntax is accepted by Mathematica, then this function
+ accepts it with the same semantics;
+ - if the syntax is acceptable as standard C++ integer or floating point
+ literal (except for octal notation and type suffixes, which are not
+ supported), then this function accepts it with the same semantics;
+ - natural extensions of the above are accepted with the natural
+ extensions of the semantics;
+ - special values are accepted.
+
+ Valid syntax is more formally and completely specified by the
+ following grammar, with the additional provisos that everything is
+ <EM>case insensitive</EM>, that the syntactic category
+ <CODE>BDIGIT</CODE> is further restricted by the current base
+ and that for all bases above 14, any <CODE>e</CODE> is always
+ interpreted as a digit and never as a delimiter for the exponent part
+ (if such a delimiter is desired, it has to be written as <CODE>*^</CODE>).
+
+\code
+number : NAN INF : 'inf'
+ | SIGN INF ;
+ | INF
+ | num NAN : 'nan'
+ | num DIV num ;
+ ;
+ SIGN : '-'
+num : u_num | '+'
+ | SIGN u_num ;
+
+u_num : u_num1 EXP : 'e'
+ | HEX u_num1 | 'p'
+ | base BASE u_num1 | '*^'
+ ; ;
+ POINT : '.'
+u_num1 : mantissa ;
+ | mantissa EXP exponent
+ ; DIV : '/'
+ ;
+mantissa: bdigits
+ | POINT bdigits MINUS : '-'
+ | bdigits POINT ;
+ | bdigits POINT bdigits
+ ; PLUS : '+'
+ ;
+exponent: SIGN digits
+ | digits HEX : '0x'
+ ; ;
+
+bdigits : BDIGIT BASE : '^^'
+ | bdigits BDIGIT ;
+ ;
+ DIGIT : '0' .. '9'
+digits : DIGIT ;
+ | digits DIGIT
+ ; BDIGIT : '0' .. '9'
+ | 'a' .. 'z'
+ ;
+\endcode
+*/
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
+input(T& x, std::istream& is, Rounding_Dir dir);
+
+//! Input operator.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+std::istream&
+operator>>(std::istream& is, Checked_Number<T, Policy>& x);
+
+//! Ascii load for native or checked.
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+ascii_load(std::ostream& s, T& t);
+
+//@} // Input-Output Operators
+
+void throw_result_exception(Result r);
+
+template <typename T>
+T
+plus_infinity();
+
+template <typename T>
+T
+minus_infinity();
+
+template <typename T>
+T
+not_a_number();
+
+//! Swaps \p x with \p y.
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+void swap(Checked_Number<T, Policy>& x, Checked_Number<T, Policy>& y);
+
+template <typename T, typename Policy>
+struct FPU_Related<Checked_Number<T, Policy> > : public FPU_Related<T> {};
+
+template <typename T>
+void maybe_reset_fpu_inexact();
+
+template <typename T>
+int maybe_check_fpu_inexact();
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Checked_Number_inlines.hh"
+#include "Checked_Number_templates.hh"
+
+#endif // !defined(PPL_Checked_Number_defs_hh)
diff --git a/src/Checked_Number_inlines.hh b/src/Checked_Number_inlines.hh
new file mode 100644
index 0000000..233ae28
--- /dev/null
+++ b/src/Checked_Number_inlines.hh
@@ -0,0 +1,848 @@
+/* Checked_Number class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Checked_Number_inlines_hh
+#define PPL_Checked_Number_inlines_hh 1
+
+#include "globals_defs.hh"
+#include <stdexcept>
+#include <sstream>
+
+namespace Parma_Polyhedra_Library {
+
+#ifndef NDEBUG
+#define DEBUG_ROUND_NOT_NEEDED
+#endif
+
+inline Rounding_Dir
+rounding_dir(Rounding_Dir dir) {
+ if (dir == ROUND_NOT_NEEDED) {
+#ifdef DEBUG_ROUND_NOT_NEEDED
+ return ROUND_CHECK;
+#endif
+ }
+ return dir;
+}
+
+inline Result
+check_result(Result r, Rounding_Dir dir) {
+ if (dir == ROUND_NOT_NEEDED) {
+#ifdef DEBUG_ROUND_NOT_NEEDED
+ PPL_ASSERT(result_relation(r) == VR_EQ);
+#endif
+ return r;
+ }
+ return r;
+}
+
+
+template <typename T>
+inline void
+Checked_Number_Transparent_Policy<T>::handle_result(Result) {
+}
+
+inline void
+Extended_Number_Policy::handle_result(Result r) {
+ if (result_class(r) == VC_NAN)
+ throw_result_exception(r);
+}
+
+template <typename T, typename Policy>
+inline
+Checked_Number<T, Policy>::Checked_Number()
+ : v(0) {
+}
+
+template <typename T, typename Policy>
+inline
+Checked_Number<T, Policy>::Checked_Number(const Checked_Number& y) {
+ // TODO: avoid default construction of value member.
+ Checked::copy<Policy, Policy>(v, y.raw_value());
+}
+
+template <typename T, typename Policy>
+template <typename From, typename From_Policy>
+inline
+Checked_Number<T, Policy>
+::Checked_Number(const Checked_Number<From, From_Policy>& y,
+ Rounding_Dir dir) {
+ // TODO: avoid default construction of value member.
+ Policy::handle_result(check_result(Checked::assign_ext<Policy, From_Policy>
+ (v,
+ y.raw_value(),
+ rounding_dir(dir)),
+ dir)
+ );
+}
+
+template <typename T, typename Policy>
+template <typename From, typename From_Policy>
+inline
+Checked_Number<T, Policy>
+::Checked_Number(const Checked_Number<From, From_Policy>& y) {
+ // TODO: avoid default construction of value member.
+ Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
+ Policy::handle_result(check_result(Checked::assign_ext<Policy, From_Policy>
+ (v,
+ y.raw_value(),
+ rounding_dir(dir)),
+ dir));
+}
+
+// TODO: avoid default construction of value member.
+#define PPL_DEFINE_CTOR(type) \
+template <typename T, typename Policy> \
+inline \
+Checked_Number<T, Policy>::Checked_Number(const type y, Rounding_Dir dir) { \
+ Policy::handle_result \
+ (check_result(Checked::assign_ext<Policy, \
+ Checked_Number_Transparent_Policy<PPL_U(type)> > \
+ (v, y, rounding_dir(dir)), \
+ dir)); \
+} \
+template <typename T, typename Policy> \
+inline \
+Checked_Number<T, Policy>::Checked_Number(const type y) { \
+ Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR; \
+ Policy::handle_result \
+ (check_result(Checked::assign_ext<Policy, \
+ Checked_Number_Transparent_Policy<PPL_U(type)> > \
+ (v, y, rounding_dir(dir)), \
+ dir)); \
+}
+
+PPL_DEFINE_CTOR(char)
+PPL_DEFINE_CTOR(signed char)
+PPL_DEFINE_CTOR(signed short)
+PPL_DEFINE_CTOR(signed int)
+PPL_DEFINE_CTOR(signed long)
+PPL_DEFINE_CTOR(signed long long)
+PPL_DEFINE_CTOR(unsigned char)
+PPL_DEFINE_CTOR(unsigned short)
+PPL_DEFINE_CTOR(unsigned int)
+PPL_DEFINE_CTOR(unsigned long)
+PPL_DEFINE_CTOR(unsigned long long)
+#if PPL_SUPPORTED_FLOAT
+PPL_DEFINE_CTOR(float)
+#endif
+#if PPL_SUPPORTED_DOUBLE
+PPL_DEFINE_CTOR(double)
+#endif
+#if PPL_SUPPORTED_LONG_DOUBLE
+PPL_DEFINE_CTOR(long double)
+#endif
+PPL_DEFINE_CTOR(mpq_class&)
+PPL_DEFINE_CTOR(mpz_class&)
+
+#undef PPL_DEFINE_CTOR
+
+
+template <typename T, typename Policy>
+inline
+Checked_Number<T, Policy>::Checked_Number(const char* y, Rounding_Dir dir) {
+ std::istringstream s(y);
+ Policy::handle_result(check_result(Checked::input<Policy>(v,
+ s,
+ rounding_dir(dir)),
+ dir));
+}
+
+template <typename T, typename Policy>
+inline
+Checked_Number<T, Policy>::Checked_Number(const char* y) {
+ std::istringstream s(y);
+ Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
+ Policy::handle_result(check_result(Checked::input<Policy>(v,
+ s,
+ rounding_dir(dir)),
+ dir));
+}
+
+template <typename T, typename Policy>
+template <typename From>
+inline
+Checked_Number<T, Policy>
+::Checked_Number(const From&,
+ Rounding_Dir dir,
+ typename Enable_If<Is_Special<From>::value, bool>::type) {
+ Policy::handle_result(check_result(Checked::assign_special<Policy>(v,
+ From::vclass,
+ rounding_dir(dir)),
+ dir));
+}
+
+template <typename T, typename Policy>
+template <typename From>
+inline
+Checked_Number<T, Policy>::Checked_Number(const From&, typename Enable_If<Is_Special<From>::value, bool>::type) {
+ Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
+ Policy::handle_result(check_result(Checked::assign_special<Policy>(v,
+ From::vclass,
+ rounding_dir(dir)),
+ dir));
+}
+
+template <typename To, typename From>
+inline typename Enable_If<Is_Native_Or_Checked<To>::value
+ && Is_Special<From>::value, Result>::type
+assign_r(To& to, const From&, Rounding_Dir dir) {
+ return check_result(Checked::assign_special<typename Native_Checked_To_Wrapper<To>
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
+ From::vclass,
+ rounding_dir(dir)),
+ dir);
+}
+
+template <typename To, typename From>
+inline typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
+construct(To& to, const From&, Rounding_Dir dir) {
+ return check_result(Checked::construct_special<typename Native_Checked_To_Wrapper<To>
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
+ From::vclass,
+ rounding_dir(dir)),
+ dir);
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_minus_infinity(const T& x) {
+ return Checked::is_minf<typename Native_Checked_From_Wrapper<T>
+ ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_plus_infinity(const T& x) {
+ return Checked::is_pinf<typename Native_Checked_From_Wrapper<T>
+ ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, int>::type
+infinity_sign(const T& x) {
+ return is_minus_infinity(x) ? -1 : (is_plus_infinity(x) ? 1 : 0);
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_not_a_number(const T& x) {
+ return Checked::is_nan<typename Native_Checked_From_Wrapper<T>
+ ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_integer(const T& x) {
+ return Checked::is_int<typename Native_Checked_From_Wrapper<T>
+ ::Policy>(Native_Checked_From_Wrapper<T>::raw_value(x));
+}
+
+template <typename T, typename Policy>
+inline
+Checked_Number<T, Policy>::operator T() const {
+ if (Policy::convertible)
+ return v;
+}
+
+template <typename T, typename Policy>
+inline T&
+Checked_Number<T, Policy>::raw_value() {
+ return v;
+}
+
+template <typename T, typename Policy>
+inline const T&
+Checked_Number<T, Policy>::raw_value() const {
+ return v;
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline const T&
+raw_value(const Checked_Number<T, Policy>& x) {
+ return x.raw_value();
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline T&
+raw_value(Checked_Number<T, Policy>& x) {
+ return x.raw_value();
+}
+
+template <typename T, typename Policy>
+inline bool
+Checked_Number<T, Policy>::OK() const {
+ return true;
+}
+
+template <typename T, typename Policy>
+inline Result
+Checked_Number<T, Policy>::classify(bool nan, bool inf, bool sign) const {
+ return Checked::classify<Policy>(v, nan, inf, sign);
+}
+
+template <typename T, typename Policy>
+inline bool
+is_not_a_number(const Checked_Number<T, Policy>& x) {
+ return Checked::is_nan<Policy>(x.raw_value());
+}
+
+template <typename T, typename Policy>
+inline bool
+is_minus_infinity(const Checked_Number<T, Policy>& x) {
+ return Checked::is_minf<Policy>(x.raw_value());
+}
+
+template <typename T, typename Policy>
+inline bool
+is_plus_infinity(const Checked_Number<T, Policy>& x) {
+ return Checked::is_pinf<Policy>(x.raw_value());
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline memory_size_type
+total_memory_in_bytes(const Checked_Number<T, Policy>& x) {
+ return total_memory_in_bytes(x.raw_value());
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline memory_size_type
+external_memory_in_bytes(const Checked_Number<T, Policy>& x) {
+ return external_memory_in_bytes(x.raw_value());
+}
+
+
+/*! \relates Checked_Number */
+template <typename To>
+inline typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
+assign_r(To& to, const char* x, Rounding_Dir dir) {
+ std::istringstream s(x);
+ return check_result(Checked::input<typename Native_Checked_To_Wrapper<To>
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
+ s,
+ rounding_dir(dir)),
+ dir);
+}
+
+#define PPL_DEFINE_FUNC1_A(name, func) \
+template <typename To, typename From> \
+inline typename Enable_If<Is_Native_Or_Checked<To>::value \
+ && Is_Native_Or_Checked<From>::value, \
+ Result>::type \
+ PPL_U(name)(To& to, const From& x, Rounding_Dir dir) { \
+ return \
+ check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From> \
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
+ Native_Checked_From_Wrapper<From>::raw_value(x), \
+ rounding_dir(dir)), dir); \
+}
+
+PPL_DEFINE_FUNC1_A(construct, construct_ext)
+PPL_DEFINE_FUNC1_A(assign_r, assign_ext)
+PPL_DEFINE_FUNC1_A(floor_assign_r, floor_ext)
+PPL_DEFINE_FUNC1_A(ceil_assign_r, ceil_ext)
+PPL_DEFINE_FUNC1_A(trunc_assign_r, trunc_ext)
+PPL_DEFINE_FUNC1_A(neg_assign_r, neg_ext)
+PPL_DEFINE_FUNC1_A(abs_assign_r, abs_ext)
+PPL_DEFINE_FUNC1_A(sqrt_assign_r, sqrt_ext)
+
+#undef PPL_DEFINE_FUNC1_A
+
+#define PPL_DEFINE_FUNC1_B(name, func) \
+template <typename To, typename From> \
+inline typename Enable_If<Is_Native_Or_Checked<To>::value \
+ && Is_Native_Or_Checked<From>::value, \
+ Result>::type \
+ PPL_U(name)(To& to, const From& x, unsigned int exp, Rounding_Dir dir) { \
+ return \
+ check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From> \
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
+ Native_Checked_From_Wrapper<From>::raw_value(x), \
+ exp, \
+ rounding_dir(dir)), \
+ dir); \
+}
+
+PPL_DEFINE_FUNC1_B(add_2exp_assign_r, add_2exp_ext)
+PPL_DEFINE_FUNC1_B(sub_2exp_assign_r, sub_2exp_ext)
+PPL_DEFINE_FUNC1_B(mul_2exp_assign_r, mul_2exp_ext)
+PPL_DEFINE_FUNC1_B(div_2exp_assign_r, div_2exp_ext)
+PPL_DEFINE_FUNC1_B(smod_2exp_assign_r, smod_2exp_ext)
+PPL_DEFINE_FUNC1_B(umod_2exp_assign_r, umod_2exp_ext)
+
+#undef PPL_DEFINE_FUNC1_B
+
+#define PPL_DEFINE_FUNC2(name, func) \
+template <typename To, typename From1, typename From2> \
+inline typename Enable_If<Is_Native_Or_Checked<To>::value \
+ && Is_Native_Or_Checked<From1>::value \
+ && Is_Native_Or_Checked<From2>::value, \
+ Result>::type \
+ PPL_U(name)(To& to, const From1& x, const From2& y, Rounding_Dir dir) { \
+ return \
+ check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From1> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From2> \
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
+ Native_Checked_From_Wrapper<From1>::raw_value(x), \
+ Native_Checked_From_Wrapper<From2>::raw_value(y), \
+ rounding_dir(dir)), \
+ dir); \
+}
+
+PPL_DEFINE_FUNC2(add_assign_r, add_ext)
+PPL_DEFINE_FUNC2(sub_assign_r, sub_ext)
+PPL_DEFINE_FUNC2(mul_assign_r, mul_ext)
+PPL_DEFINE_FUNC2(div_assign_r, div_ext)
+PPL_DEFINE_FUNC2(idiv_assign_r, idiv_ext)
+PPL_DEFINE_FUNC2(rem_assign_r, rem_ext)
+PPL_DEFINE_FUNC2(gcd_assign_r, gcd_ext)
+PPL_DEFINE_FUNC2(lcm_assign_r, lcm_ext)
+PPL_DEFINE_FUNC2(add_mul_assign_r, add_mul_ext)
+PPL_DEFINE_FUNC2(sub_mul_assign_r, sub_mul_ext)
+
+#undef PPL_DEFINE_FUNC2
+
+#define PPL_DEFINE_FUNC4(name, func) \
+template <typename To1, \
+ typename To2, \
+ typename To3, \
+ typename From1, \
+ typename From2> \
+inline typename Enable_If<Is_Native_Or_Checked<To1>::value \
+ && Is_Native_Or_Checked<To2>::value \
+ && Is_Native_Or_Checked<To3>::value \
+ && Is_Native_Or_Checked<From1>::value \
+ && Is_Native_Or_Checked<From2>::value, \
+ Result>::type \
+ PPL_U(name)(To1& to, To2& s, To3& t, const From1& x, const From2& y, \
+ Rounding_Dir dir) { \
+ return \
+ check_result \
+ (Checked::func<typename Native_Checked_To_Wrapper<To1>::Policy, \
+ typename Native_Checked_To_Wrapper<To2>::Policy, \
+ typename Native_Checked_To_Wrapper<To3>::Policy, \
+ typename Native_Checked_From_Wrapper<From1>::Policy, \
+ typename Native_Checked_From_Wrapper<From2>::Policy> \
+ (Native_Checked_To_Wrapper<To1>::raw_value(to), \
+ Native_Checked_To_Wrapper<To2>::raw_value(s), \
+ Native_Checked_To_Wrapper<To3>::raw_value(t), \
+ Native_Checked_From_Wrapper<From1>::raw_value(x), \
+ Native_Checked_From_Wrapper<From2>::raw_value(y), \
+ rounding_dir(dir)), \
+ dir); \
+}
+
+PPL_DEFINE_FUNC4(gcdext_assign_r, gcdext_ext)
+
+#undef PPL_DEFINE_PPL_DEFINE_FUNC4
+
+#define PPL_DEFINE_INCREMENT(f, fun) \
+template <typename T, typename Policy> \
+inline Checked_Number<T, Policy>& \
+Checked_Number<T, Policy>::f() { \
+ Policy::handle_result((fun)(*this, *this, T(1), \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
+ return *this; \
+} \
+template <typename T, typename Policy> \
+inline Checked_Number<T, Policy> \
+Checked_Number<T, Policy>::f(int) {\
+ T r = v;\
+ Policy::handle_result((fun)(*this, *this, T(1), \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
+ return r;\
+}
+
+PPL_DEFINE_INCREMENT(operator ++, add_assign_r)
+PPL_DEFINE_INCREMENT(operator --, sub_assign_r)
+
+#undef PPL_DEFINE_INCREMENT
+
+template <typename T, typename Policy>
+inline Checked_Number<T, Policy>&
+Checked_Number<T, Policy>::operator=(const Checked_Number<T, Policy>& y) {
+ Checked::copy<Policy, Policy>(v, y.raw_value());
+ return *this;
+}
+template <typename T, typename Policy>
+template <typename From>
+inline Checked_Number<T, Policy>&
+Checked_Number<T, Policy>::operator=(const From& y) {
+ Policy::handle_result(assign_r(*this, y, Policy::ROUND_DEFAULT_OPERATOR));
+ return *this;
+}
+
+#define PPL_DEFINE_BINARY_OP_ASSIGN(f, fun) \
+template <typename T, typename Policy> \
+template <typename From_Policy> \
+inline Checked_Number<T, Policy>& \
+Checked_Number<T, Policy>::f(const Checked_Number<T, From_Policy>& y) { \
+ Policy::handle_result((fun)(*this, *this, y, \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
+ return *this; \
+} \
+template <typename T, typename Policy> \
+inline Checked_Number<T, Policy>& \
+Checked_Number<T, Policy>::f(const T& y) { \
+ Policy::handle_result((fun)(*this, *this, y, \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
+ return *this; \
+} \
+template <typename T, typename Policy> \
+template <typename From> \
+inline typename Enable_If<Is_Native_Or_Checked<From>::value, \
+ Checked_Number<T, Policy>& >::type \
+Checked_Number<T, Policy>::f(const From& y) { \
+ Checked_Number<T, Policy> cy(y); \
+ Policy::handle_result((fun)(*this, *this, cy, \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
+ return *this; \
+}
+
+PPL_DEFINE_BINARY_OP_ASSIGN(operator +=, add_assign_r)
+PPL_DEFINE_BINARY_OP_ASSIGN(operator -=, sub_assign_r)
+PPL_DEFINE_BINARY_OP_ASSIGN(operator *=, mul_assign_r)
+PPL_DEFINE_BINARY_OP_ASSIGN(operator /=, div_assign_r)
+PPL_DEFINE_BINARY_OP_ASSIGN(operator %=, rem_assign_r)
+
+#undef PPL_DEFINE_BINARY_OP_ASSIGN
+
+#define PPL_DEFINE_BINARY_OP(f, fun) \
+template <typename T, typename Policy> \
+inline Checked_Number<T, Policy> \
+ PPL_U(f)(const Checked_Number<T, Policy>& x, \
+ const Checked_Number<T, Policy>& y) { \
+ Checked_Number<T, Policy> r; \
+ Policy::handle_result((fun)(r, x, y, Policy::ROUND_DEFAULT_OPERATOR)); \
+ return r; \
+} \
+template <typename Type, typename T, typename Policy> \
+inline \
+typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
+ PPL_U(f)(const Type& x, const Checked_Number<T, Policy>& y) { \
+ Checked_Number<T, Policy> r(x); \
+ Policy::handle_result((fun)(r, r, y, Policy::ROUND_DEFAULT_OPERATOR)); \
+ return r; \
+} \
+template <typename T, typename Policy, typename Type> \
+inline \
+typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
+ PPL_U(f)(const Checked_Number<T, Policy>& x, const Type& y) { \
+ Checked_Number<T, Policy> r(y); \
+ Policy::handle_result((fun)(r, x, r, Policy::ROUND_DEFAULT_OPERATOR)); \
+ return r; \
+}
+
+PPL_DEFINE_BINARY_OP(operator +, add_assign_r)
+PPL_DEFINE_BINARY_OP(operator -, sub_assign_r)
+PPL_DEFINE_BINARY_OP(operator *, mul_assign_r)
+PPL_DEFINE_BINARY_OP(operator /, div_assign_r)
+PPL_DEFINE_BINARY_OP(operator %, rem_assign_r)
+
+#undef PPL_DEFINE_BINARY_OP
+
+#define PPL_DEFINE_COMPARE_OP(f, fun) \
+template <typename T1, typename T2> \
+inline \
+typename Enable_If<Is_Native_Or_Checked<T1>::value \
+ && Is_Native_Or_Checked<T2>::value \
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value), \
+ bool>::type \
+ PPL_U(f)(const T1& x, const T2& y) { \
+ return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
+ typename Native_Checked_From_Wrapper<T2>::Policy> \
+ (Native_Checked_From_Wrapper<T1>::raw_value(x), \
+ Native_Checked_From_Wrapper<T2>::raw_value(y)); \
+}
+
+PPL_DEFINE_COMPARE_OP(operator ==, eq_ext)
+PPL_DEFINE_COMPARE_OP(operator !=, ne_ext)
+PPL_DEFINE_COMPARE_OP(operator >=, ge_ext)
+PPL_DEFINE_COMPARE_OP(operator >, gt_ext)
+PPL_DEFINE_COMPARE_OP(operator <=, le_ext)
+PPL_DEFINE_COMPARE_OP(operator <, lt_ext)
+
+#undef PPL_DEFINE_COMPARE_OP
+
+#define PPL_DEFINE_COMPARE(f, fun) \
+template <typename T1, typename T2> \
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value \
+ && Is_Native_Or_Checked<T2>::value, \
+ bool>::type \
+ PPL_U(f)(const T1& x, const T2& y) { \
+ return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
+ typename Native_Checked_From_Wrapper<T2>::Policy> \
+ (Native_Checked_From_Wrapper<T1>::raw_value(x), \
+ Native_Checked_From_Wrapper<T2>::raw_value(y)); \
+}
+
+PPL_DEFINE_COMPARE(equal, eq_ext)
+PPL_DEFINE_COMPARE(not_equal, ne_ext)
+PPL_DEFINE_COMPARE(greater_or_equal, ge_ext)
+PPL_DEFINE_COMPARE(greater_than, gt_ext)
+PPL_DEFINE_COMPARE(less_or_equal, le_ext)
+PPL_DEFINE_COMPARE(less_than, lt_ext)
+
+#undef PPL_DEFINE_COMPARE
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline Checked_Number<T, Policy>
+operator+(const Checked_Number<T, Policy>& x) {
+ return x;
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline Checked_Number<T, Policy>
+operator-(const Checked_Number<T, Policy>& x) {
+ Checked_Number<T, Policy> r;
+ Policy::handle_result(neg_assign_r(r, x, Policy::ROUND_DEFAULT_OPERATOR));
+ return r;
+}
+
+#define PPL_DEFINE_ASSIGN_FUN2_1(f, fun) \
+template <typename T, typename Policy> \
+inline void \
+ PPL_U(f)(Checked_Number<T, Policy>& x) { \
+ Policy::handle_result((fun)(x, x, Policy::ROUND_DEFAULT_FUNCTION)); \
+}
+
+#define PPL_DEFINE_ASSIGN_FUN2_2(f, fun) \
+template <typename T, typename Policy> \
+inline void \
+ PPL_U(f)(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y) { \
+ Policy::handle_result((fun)(x, y, Policy::ROUND_DEFAULT_FUNCTION)); \
+}
+
+#define PPL_DEFINE_ASSIGN_FUN3_3(f, fun) \
+template <typename T, typename Policy> \
+inline void \
+ PPL_U(f)(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y, \
+ const Checked_Number<T, Policy>& z) { \
+ Policy::handle_result((fun)(x, y, z, Policy::ROUND_DEFAULT_FUNCTION)); \
+}
+
+#define PPL_DEFINE_ASSIGN_FUN5_5(f, fun) \
+template <typename T, typename Policy> \
+inline void \
+ PPL_U(f)(Checked_Number<T, Policy>& x, \
+ Checked_Number<T, Policy>& s, Checked_Number<T, Policy>& t, \
+ const Checked_Number<T, Policy>& y, \
+ const Checked_Number<T, Policy>& z) { \
+ Policy::handle_result((fun)(x, s, t, y, z, Policy::ROUND_DEFAULT_FUNCTION)); \
+}
+
+PPL_DEFINE_ASSIGN_FUN2_2(sqrt_assign, sqrt_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN2_1(floor_assign, floor_assign_r)
+PPL_DEFINE_ASSIGN_FUN2_2(floor_assign, floor_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN2_1(ceil_assign, ceil_assign_r)
+PPL_DEFINE_ASSIGN_FUN2_2(ceil_assign, ceil_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN2_1(trunc_assign, trunc_assign_r)
+PPL_DEFINE_ASSIGN_FUN2_2(trunc_assign, trunc_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN2_1(neg_assign, neg_assign_r)
+PPL_DEFINE_ASSIGN_FUN2_2(neg_assign, neg_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN2_1(abs_assign, abs_assign_r)
+PPL_DEFINE_ASSIGN_FUN2_2(abs_assign, abs_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN3_3(add_mul_assign, add_mul_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN3_3(sub_mul_assign, sub_mul_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN3_3(rem_assign, rem_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN3_3(gcd_assign, gcd_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN5_5(gcdext_assign, gcdext_assign_r)
+
+PPL_DEFINE_ASSIGN_FUN3_3(lcm_assign, lcm_assign_r)
+
+#undef PPL_DEFINE_ASSIGN_FUN2_1
+#undef PPL_DEFINE_ASSIGN_FUN2_2
+#undef PPL_DEFINE_ASSIGN_FUN3_2
+#undef PPL_DEFINE_ASSIGN_FUN3_3
+#undef PPL_DEFINE_ASSIGN_FUN5_5
+
+#define PPL_DEFINE_ASSIGN_2EXP(f, fun) \
+template <typename T, typename Policy> \
+inline void \
+ PPL_U(f)(Checked_Number<T, Policy>& x, \
+ const Checked_Number<T, Policy>& y, unsigned int exp) { \
+ Policy::handle_result((fun)(x, y, exp, Policy::ROUND_DEFAULT_FUNCTION)); \
+}
+
+PPL_DEFINE_ASSIGN_2EXP(mul_2exp_assign, mul_2exp_assign_r)
+PPL_DEFINE_ASSIGN_2EXP(div_2exp_assign, div_2exp_assign_r)
+
+template <typename T, typename Policy>
+inline void
+exact_div_assign(Checked_Number<T, Policy>& x,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z) {
+ Policy::handle_result(div_assign_r(x, y, z, ROUND_NOT_NEEDED));
+}
+
+/*! \relates Checked_Number */
+template <typename From>
+inline typename Enable_If<Is_Native_Or_Checked<From>::value, int>::type
+sgn(const From& x) {
+ Result_Relation r = Checked::sgn_ext<typename Native_Checked_From_Wrapper<From>::Policy>(Native_Checked_From_Wrapper<From>::raw_value(x));
+ switch (r) {
+ case VR_LT:
+ return -1;
+ case VR_EQ:
+ return 0;
+ case VR_GT:
+ return 1;
+ default:
+ throw(0);
+ }
+}
+
+/*! \relates Checked_Number */
+template <typename From1, typename From2>
+inline typename Enable_If<Is_Native_Or_Checked<From1>::value
+ && Is_Native_Or_Checked<From2>::value,
+ int>::type
+cmp(const From1& x, const From2& y) {
+ Result_Relation r
+ = Checked::cmp_ext<typename Native_Checked_From_Wrapper<From1>::Policy,
+ typename Native_Checked_From_Wrapper<From2>::Policy>
+ (Native_Checked_From_Wrapper<From1>::raw_value(x),
+ Native_Checked_From_Wrapper<From2>::raw_value(y));
+ switch (r) {
+ case VR_LT:
+ return -1;
+ case VR_EQ:
+ return 0;
+ case VR_GT:
+ return 1;
+ default:
+ throw(0);
+ }
+}
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
+output(std::ostream& os, const T& x,
+ const Numeric_Format& format, Rounding_Dir dir) {
+ return check_result(Checked::output_ext<typename Native_Checked_From_Wrapper<T>::Policy>
+ (os,
+ Native_Checked_From_Wrapper<T>::raw_value(x),
+ format,
+ rounding_dir(dir)),
+ dir);
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline std::ostream&
+operator<<(std::ostream& os, const Checked_Number<T, Policy>& x) {
+ Policy::handle_result(output(os, x, Numeric_Format(), ROUND_IGNORE));
+ return os;
+}
+
+/*! \relates Checked_Number */
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
+input(T& x, std::istream& is, Rounding_Dir dir) {
+ return check_result(Checked::input_ext<typename Native_Checked_To_Wrapper<T>::Policy>
+ (Native_Checked_To_Wrapper<T>::raw_value(x),
+ is,
+ rounding_dir(dir)),
+ dir);
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline std::istream& operator>>(std::istream& is,
+ Checked_Number<T, Policy>& x) {
+ Result r = input(x, is, Policy::ROUND_DEFAULT_INPUT);
+ if (r == V_CVT_STR_UNK)
+ is.setstate(std::ios::failbit);
+ else
+ Policy::handle_result(r);
+ return is;
+}
+
+template <typename T>
+inline T
+plus_infinity() {
+ return PLUS_INFINITY;
+}
+
+template <typename T>
+inline T
+minus_infinity() {
+ return MINUS_INFINITY;
+}
+
+template <typename T>
+inline T
+not_a_number() {
+ return NOT_A_NUMBER;
+}
+
+/*! \relates Checked_Number */
+template <typename T, typename Policy>
+inline void
+swap(Checked_Number<T, Policy>& x, Checked_Number<T, Policy>& y) {
+ using std::swap;
+ swap(x.raw_value(), y.raw_value());
+}
+
+template <typename T>
+inline void
+maybe_reset_fpu_inexact() {
+ if (FPU_Related<T>::value)
+ return fpu_reset_inexact();
+}
+
+template <typename T>
+inline int
+maybe_check_fpu_inexact() {
+ if (FPU_Related<T>::value)
+ return fpu_check_inexact();
+ else
+ return 0;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Checked_Number_inlines_hh)
diff --git a/src/Checked_Number_templates.hh b/src/Checked_Number_templates.hh
new file mode 100644
index 0000000..48a5a3e
--- /dev/null
+++ b/src/Checked_Number_templates.hh
@@ -0,0 +1,149 @@
+/* Checked_Number class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Checked_Number_templates_hh
+#define PPL_Checked_Number_templates_hh 1
+
+#include "assert.hh"
+#include <iomanip>
+#include <limits>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
+ascii_dump(std::ostream& s, const T& t) {
+ if (std::numeric_limits<T>::is_exact)
+ // An exact data type: pretty printer is accurate.
+ s << t;
+ else {
+ // An inexact data type (probably floating point):
+ // first dump its hexadecimal representation ...
+ const std::ios::fmtflags old_flags = s.setf(std::ios::hex,
+ std::ios::basefield);
+ const unsigned char* p = reinterpret_cast<const unsigned char*>(&t);
+ for (unsigned i = 0; i < sizeof(T); ++i) {
+ s << std::setw(2) << std::setfill('0') << static_cast<unsigned>(p[i]);
+ }
+ s.flags(old_flags);
+ // ... and then pretty print it for readability.
+ s << " (" << t << ")";
+ }
+}
+
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+ascii_load(std::istream& s, T& t) {
+ if (std::numeric_limits<T>::is_exact) {
+ // An exact data type: input from pretty printed version is accurate.
+ s >> t;
+ return !s.fail();
+ }
+ else {
+ // An inexact data type (probably floating point):
+ // first load its hexadecimal representation ...
+ std::string str;
+ if (!(s >> str) || str.size() != 2*sizeof(T))
+ return false;
+ unsigned char* p = reinterpret_cast<unsigned char*>(&t);
+ // CHECKME: any (portable) simpler way?
+ for (unsigned i = 0; i < sizeof(T); ++i) {
+ unsigned byte_value = 0;
+ for (unsigned j = 0; j < 2; ++j) {
+ byte_value <<= 4;
+ unsigned half_byte_value;
+ // Interpret single hex character.
+ switch (str[2*i + j]) {
+ case '0':
+ half_byte_value = 0;
+ break;
+ case '1':
+ half_byte_value = 1;
+ break;
+ case '2':
+ half_byte_value = 2;
+ break;
+ case '3':
+ half_byte_value = 3;
+ break;
+ case '4':
+ half_byte_value = 4;
+ break;
+ case '5':
+ half_byte_value = 5;
+ break;
+ case '6':
+ half_byte_value = 6;
+ break;
+ case '7':
+ half_byte_value = 7;
+ break;
+ case '8':
+ half_byte_value = 8;
+ break;
+ case '9':
+ half_byte_value = 9;
+ break;
+ case 'A':
+ case 'a':
+ half_byte_value = 10;
+ break;
+ case 'B':
+ case 'b':
+ half_byte_value = 11;
+ break;
+ case 'C':
+ case 'c':
+ half_byte_value = 12;
+ break;
+ case 'D':
+ case 'd':
+ half_byte_value = 13;
+ break;
+ case 'E':
+ case 'e':
+ half_byte_value = 14;
+ break;
+ case 'F':
+ case 'f':
+ half_byte_value = 15;
+ break;
+ default:
+ return false;
+ }
+ byte_value += half_byte_value;
+ }
+ PPL_ASSERT(byte_value <= 255);
+ p[i] = static_cast<unsigned char>(byte_value);
+ }
+ // ... then read and discard pretty printed value.
+ if (!(s >> str))
+ return false;
+ const std::string::size_type sz = str.size();
+ return sz > 2 && str[0] == '(' && str[sz-1] == ')';
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Checked_Number_templates_hh)
diff --git a/src/Checked_Number_types.hh b/src/Checked_Number_types.hh
new file mode 100644
index 0000000..b404b87
--- /dev/null
+++ b/src/Checked_Number_types.hh
@@ -0,0 +1,27 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Checked_Number_types_hh
+#define PPL_Checked_Number_types_hh 1
+
+#include "Coefficient_traits_template.hh"
+
+namespace Parma_Polyhedra_Library {
+
+struct Extended_Number_Policy;
+
+template <typename T, typename Policy>
+class Checked_Number;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Checked_Number_types_hh)
diff --git a/src/Coefficient.cc b/src/Coefficient.cc
index 0d2c1fa..593b344 100644
--- a/src/Coefficient.cc
+++ b/src/Coefficient.cc
@@ -1,6 +1,6 @@
/* Coefficient class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Coefficient.defs.hh"
+#include "Coefficient_defs.hh"
namespace Parma_Polyhedra_Library {
diff --git a/src/Coefficient.defs.hh b/src/Coefficient.defs.hh
deleted file mode 100644
index 993bcd1..0000000
--- a/src/Coefficient.defs.hh
+++ /dev/null
@@ -1,61 +0,0 @@
-/* Coefficient class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Coefficient_defs_hh
-#define PPL_Coefficient_defs_hh 1
-
-#include "Coefficient.types.hh"
-#include <iosfwd>
-
-#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
-#include "Checked_Number.defs.hh"
-#include "checked_int.inlines.hh"
-#endif
-
-#ifdef PPL_GMP_INTEGERS
-#include "GMP_Integer.defs.hh"
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Initializes the Coefficient constants.
-#endif
-void Coefficient_constants_initialize();
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Finalizes the Coefficient constants.
-#endif
-void Coefficient_constants_finalize();
-
-//! Returns a const reference to a Coefficient with value 0.
-Coefficient_traits::const_reference Coefficient_zero();
-
-//! Returns a const reference to a Coefficient with value 1.
-Coefficient_traits::const_reference Coefficient_one();
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Coefficient.inlines.hh"
-
-#endif // !defined(PPL_Coefficient_defs_hh)
diff --git a/src/Coefficient.inlines.hh b/src/Coefficient.inlines.hh
deleted file mode 100644
index 8c9dda6..0000000
--- a/src/Coefficient.inlines.hh
+++ /dev/null
@@ -1,72 +0,0 @@
-/* Coefficient class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Coefficient_inlines_hh
-#define PPL_Coefficient_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_CHECKED_INTEGERS
-inline void
-Bounded_Integer_Coefficient_Policy::handle_result(Result r) {
- // Note that the input functions can return VC_NAN.
- if (result_overflow(r) || result_class(r) == VC_NAN)
- throw_result_exception(r);
-}
-#endif // PPL_CHECKED_INTEGERS
-
-
-#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
-inline Coefficient_traits::const_reference
-Coefficient_zero() {
- // FIXME: is there a way to avoid this static variable?
- static Coefficient zero(0);
- return zero;
-}
-
-inline Coefficient_traits::const_reference
-Coefficient_one() {
- // FIXME: is there a way to avoid this static variable?
- static Coefficient one(1);
- return one;
-}
-#endif // defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
-
-#ifdef PPL_GMP_INTEGERS
-inline Coefficient_traits::const_reference
-Coefficient_zero() {
- extern const Coefficient* Coefficient_zero_p;
- return *Coefficient_zero_p;
-}
-
-inline Coefficient_traits::const_reference
-Coefficient_one() {
- extern const Coefficient* Coefficient_one_p;
- PPL_ASSERT(*Coefficient_one_p != 0);
- return *Coefficient_one_p;
-}
-#endif // PPL_GMP_INTEGERS
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Coefficient_inlines_hh)
diff --git a/src/Coefficient.types.hh b/src/Coefficient.types.hh
deleted file mode 100644
index 062f3a1..0000000
--- a/src/Coefficient.types.hh
+++ /dev/null
@@ -1,182 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Coefficient_types_hh
-#define PPL_Coefficient_types_hh 1
-
-#include "Checked_Number.defs.hh"
-
-#ifdef PPL_GMP_INTEGERS
-#include "GMP_Integer.types.hh"
-#endif
-
-#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
-
-namespace Parma_Polyhedra_Library {
-
-//! A policy for checked bounded integer coefficients.
-/*! \ingroup PPL_CXX_interface */
-struct Bounded_Integer_Coefficient_Policy {
- //! Check for overflowed result.
- const_bool_nodef(check_overflow, true);
-
- //! Do not check for attempts to add infinities with different sign.
- const_bool_nodef(check_inf_add_inf, false);
-
- //! Do not check for attempts to subtract infinities with same sign.
- const_bool_nodef(check_inf_sub_inf, false);
-
- //! Do not check for attempts to multiply infinities by zero.
- const_bool_nodef(check_inf_mul_zero, false);
-
- //! Do not check for attempts to divide by zero.
- const_bool_nodef(check_div_zero, false);
-
- //! Do not check for attempts to divide infinities.
- const_bool_nodef(check_inf_div_inf, false);
-
- //! Do not check for attempts to compute remainder of infinities.
- const_bool_nodef(check_inf_mod, false);
-
- //! Do not checks for attempts to take the square root of a negative number.
- const_bool_nodef(check_sqrt_neg, false);
-
- //! Do not handle not-a-number special value.
- const_bool_nodef(has_nan, false);
-
- //! Do not handle infinity special values.
- const_bool_nodef(has_infinity, false);
-
- /*! \brief
- The checked number can always be safely converted to the
- underlying type \p T and vice-versa.
- */
- const_bool_nodef(convertible, true);
-
- //! Do not honor requests to check for FPU inexact results.
- const_bool_nodef(fpu_check_inexact, false);
-
- //! Do not make extra checks to detect FPU NaN results.
- const_bool_nodef(fpu_check_nan_result, true);
-
- /*! \brief
- For constructors, by default use the same rounding used by
- underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_CONSTRUCTOR = ROUND_NATIVE;
-
- /*! \brief
- For overloaded operators (operator+(), operator-(), ...), by
- default use the same rounding used by the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_OPERATOR = ROUND_NATIVE;
-
- /*! \brief
- For input functions, by default use the same rounding used by
- the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_INPUT = ROUND_NATIVE;
-
- /*! \brief
- For output functions, by default use the same rounding used by
- the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_OUTPUT = ROUND_NATIVE;
-
- /*! \brief
- For all other functions, by default use the same rounding used by
- the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_FUNCTION = ROUND_NATIVE;
-
- /*! \brief
- Handles \p r: called by all constructors, operators and functions that
- do not return a Result value.
- */
- static void handle_result(Result r);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Coefficient traits specialization for 8 bits checked integers.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Policy>
-struct Coefficient_traits_template<Checked_Number<int8_t, Policy> > {
- //! The type used for references to const 8 bit checked integers.
- typedef Checked_Number<int8_t, Policy> const_reference;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Coefficient traits specialization for 16 bits checked integers.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Policy>
-struct Coefficient_traits_template<Checked_Number<int16_t, Policy> > {
- //! The type used for references to const 16 bit checked integers.
- typedef Checked_Number<int16_t, Policy> const_reference;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Coefficient traits specialization for 32 bits checked integers.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Policy>
-struct Coefficient_traits_template<Checked_Number<int32_t, Policy> > {
- //! The type used for references to const 32 bit checked integers.
- typedef Checked_Number<int32_t, Policy> const_reference;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Coefficient traits specialization for 64 bits checked integers.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Policy>
-struct Coefficient_traits_template<Checked_Number<int64_t, Policy> > {
- //! The type used for references to const 64 bit checked integers.
- typedef const Checked_Number<int64_t, Policy>& const_reference;
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
-
-namespace Parma_Polyhedra_Library {
-
-//! An alias for easily naming the type of PPL coefficients.
-/*! \ingroup PPL_CXX_interface
- Objects of type Coefficient are used to implement the integral valued
- coefficients occurring in linear expressions, constraints, generators,
- intervals, bounding boxes and so on. Depending on the chosen
- configuration options (see file <CODE>README.configure</CODE>),
- a Coefficient may actually be:
- - The GMP_Integer type, which in turn is an alias for the
- <CODE>mpz_class</CODE> type implemented by the C++ interface
- of the GMP library (this is the default configuration).
- - An instance of the Checked_Number class template: with the policy
- Bounded_Integer_Coefficient_Policy, this implements overflow
- detection on top of a native integral type (available template
- instances include checked integers having 8, 16, 32 or 64 bits);
- with the Checked_Number_Transparent_Policy, this is a wrapper
- for native integral types with no overflow detection
- (available template instances are as above).
-*/
-typedef PPL_COEFFICIENT_TYPE Coefficient;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! An alias for easily naming the coefficient traits.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-typedef Coefficient_traits_template<Coefficient> Coefficient_traits;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Coefficient_types_hh)
diff --git a/src/Coefficient_defs.hh b/src/Coefficient_defs.hh
new file mode 100644
index 0000000..a5733b2
--- /dev/null
+++ b/src/Coefficient_defs.hh
@@ -0,0 +1,61 @@
+/* Coefficient class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Coefficient_defs_hh
+#define PPL_Coefficient_defs_hh 1
+
+#include "Coefficient_types.hh"
+#include <iosfwd>
+
+#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
+#include "Checked_Number_defs.hh"
+#include "checked_int_inlines.hh"
+#endif
+
+#ifdef PPL_GMP_INTEGERS
+#include "GMP_Integer_defs.hh"
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Initializes the Coefficient constants.
+#endif
+void Coefficient_constants_initialize();
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Finalizes the Coefficient constants.
+#endif
+void Coefficient_constants_finalize();
+
+//! Returns a const reference to a Coefficient with value 0.
+Coefficient_traits::const_reference Coefficient_zero();
+
+//! Returns a const reference to a Coefficient with value 1.
+Coefficient_traits::const_reference Coefficient_one();
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Coefficient_inlines.hh"
+
+#endif // !defined(PPL_Coefficient_defs_hh)
diff --git a/src/Coefficient_inlines.hh b/src/Coefficient_inlines.hh
new file mode 100644
index 0000000..d10c36e
--- /dev/null
+++ b/src/Coefficient_inlines.hh
@@ -0,0 +1,72 @@
+/* Coefficient class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Coefficient_inlines_hh
+#define PPL_Coefficient_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_CHECKED_INTEGERS
+inline void
+Bounded_Integer_Coefficient_Policy::handle_result(Result r) {
+ // Note that the input functions can return VC_NAN.
+ if (result_overflow(r) || result_class(r) == VC_NAN)
+ throw_result_exception(r);
+}
+#endif // PPL_CHECKED_INTEGERS
+
+
+#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
+inline Coefficient_traits::const_reference
+Coefficient_zero() {
+ // FIXME: is there a way to avoid this static variable?
+ static Coefficient zero(0);
+ return zero;
+}
+
+inline Coefficient_traits::const_reference
+Coefficient_one() {
+ // FIXME: is there a way to avoid this static variable?
+ static Coefficient one(1);
+ return one;
+}
+#endif // defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
+
+#ifdef PPL_GMP_INTEGERS
+inline Coefficient_traits::const_reference
+Coefficient_zero() {
+ extern const Coefficient* Coefficient_zero_p;
+ return *Coefficient_zero_p;
+}
+
+inline Coefficient_traits::const_reference
+Coefficient_one() {
+ extern const Coefficient* Coefficient_one_p;
+ PPL_ASSERT(*Coefficient_one_p != 0);
+ return *Coefficient_one_p;
+}
+#endif // PPL_GMP_INTEGERS
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Coefficient_inlines_hh)
diff --git a/src/Coefficient_traits_template.hh b/src/Coefficient_traits_template.hh
index 921711d..2117477 100644
--- a/src/Coefficient_traits_template.hh
+++ b/src/Coefficient_traits_template.hh
@@ -1,6 +1,6 @@
/* Coefficient_traits_template class declaration.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/Coefficient_types.hh b/src/Coefficient_types.hh
new file mode 100644
index 0000000..731a45a
--- /dev/null
+++ b/src/Coefficient_types.hh
@@ -0,0 +1,182 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Coefficient_types_hh
+#define PPL_Coefficient_types_hh 1
+
+#include "Checked_Number_defs.hh"
+
+#ifdef PPL_GMP_INTEGERS
+#include "GMP_Integer_types.hh"
+#endif
+
+#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
+
+namespace Parma_Polyhedra_Library {
+
+//! A policy for checked bounded integer coefficients.
+/*! \ingroup PPL_CXX_interface */
+struct Bounded_Integer_Coefficient_Policy {
+ //! Check for overflowed result.
+ const_bool_nodef(check_overflow, true);
+
+ //! Do not check for attempts to add infinities with different sign.
+ const_bool_nodef(check_inf_add_inf, false);
+
+ //! Do not check for attempts to subtract infinities with same sign.
+ const_bool_nodef(check_inf_sub_inf, false);
+
+ //! Do not check for attempts to multiply infinities by zero.
+ const_bool_nodef(check_inf_mul_zero, false);
+
+ //! Do not check for attempts to divide by zero.
+ const_bool_nodef(check_div_zero, false);
+
+ //! Do not check for attempts to divide infinities.
+ const_bool_nodef(check_inf_div_inf, false);
+
+ //! Do not check for attempts to compute remainder of infinities.
+ const_bool_nodef(check_inf_mod, false);
+
+ //! Do not checks for attempts to take the square root of a negative number.
+ const_bool_nodef(check_sqrt_neg, false);
+
+ //! Do not handle not-a-number special value.
+ const_bool_nodef(has_nan, false);
+
+ //! Do not handle infinity special values.
+ const_bool_nodef(has_infinity, false);
+
+ /*! \brief
+ The checked number can always be safely converted to the
+ underlying type \p T and vice-versa.
+ */
+ const_bool_nodef(convertible, true);
+
+ //! Do not honor requests to check for FPU inexact results.
+ const_bool_nodef(fpu_check_inexact, false);
+
+ //! Do not make extra checks to detect FPU NaN results.
+ const_bool_nodef(fpu_check_nan_result, true);
+
+ /*! \brief
+ For constructors, by default use the same rounding used by
+ underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_CONSTRUCTOR = ROUND_NATIVE;
+
+ /*! \brief
+ For overloaded operators (operator+(), operator-(), ...), by
+ default use the same rounding used by the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_OPERATOR = ROUND_NATIVE;
+
+ /*! \brief
+ For input functions, by default use the same rounding used by
+ the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_INPUT = ROUND_NATIVE;
+
+ /*! \brief
+ For output functions, by default use the same rounding used by
+ the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_OUTPUT = ROUND_NATIVE;
+
+ /*! \brief
+ For all other functions, by default use the same rounding used by
+ the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_FUNCTION = ROUND_NATIVE;
+
+ /*! \brief
+ Handles \p r: called by all constructors, operators and functions that
+ do not return a Result value.
+ */
+ static void handle_result(Result r);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Coefficient traits specialization for 8 bits checked integers.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Policy>
+struct Coefficient_traits_template<Checked_Number<int8_t, Policy> > {
+ //! The type used for references to const 8 bit checked integers.
+ typedef Checked_Number<int8_t, Policy> const_reference;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Coefficient traits specialization for 16 bits checked integers.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Policy>
+struct Coefficient_traits_template<Checked_Number<int16_t, Policy> > {
+ //! The type used for references to const 16 bit checked integers.
+ typedef Checked_Number<int16_t, Policy> const_reference;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Coefficient traits specialization for 32 bits checked integers.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Policy>
+struct Coefficient_traits_template<Checked_Number<int32_t, Policy> > {
+ //! The type used for references to const 32 bit checked integers.
+ typedef Checked_Number<int32_t, Policy> const_reference;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Coefficient traits specialization for 64 bits checked integers.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Policy>
+struct Coefficient_traits_template<Checked_Number<int64_t, Policy> > {
+ //! The type used for references to const 64 bit checked integers.
+ typedef const Checked_Number<int64_t, Policy>& const_reference;
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
+
+namespace Parma_Polyhedra_Library {
+
+//! An alias for easily naming the type of PPL coefficients.
+/*! \ingroup PPL_CXX_interface
+ Objects of type Coefficient are used to implement the integral valued
+ coefficients occurring in linear expressions, constraints, generators,
+ intervals, bounding boxes and so on. Depending on the chosen
+ configuration options (see file <CODE>README.configure</CODE>),
+ a Coefficient may actually be:
+ - The GMP_Integer type, which in turn is an alias for the
+ <CODE>mpz_class</CODE> type implemented by the C++ interface
+ of the GMP library (this is the default configuration).
+ - An instance of the Checked_Number class template: with the policy
+ Bounded_Integer_Coefficient_Policy, this implements overflow
+ detection on top of a native integral type (available template
+ instances include checked integers having 8, 16, 32 or 64 bits);
+ with the Checked_Number_Transparent_Policy, this is a wrapper
+ for native integral types with no overflow detection
+ (available template instances are as above).
+*/
+typedef PPL_COEFFICIENT_TYPE Coefficient;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An alias for easily naming the coefficient traits.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+typedef Coefficient_traits_template<Coefficient> Coefficient_traits;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Coefficient_types_hh)
diff --git a/src/Concrete_Expression.cc b/src/Concrete_Expression.cc
index 85c4529..5c25d66 100644
--- a/src/Concrete_Expression.cc
+++ b/src/Concrete_Expression.cc
@@ -1,6 +1,6 @@
/* Concrete_Expression class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Concrete_Expression.defs.hh"
+#include "Concrete_Expression_defs.hh"
#include <iostream>
namespace PPL = Parma_Polyhedra_Library;
diff --git a/src/Concrete_Expression.defs.hh b/src/Concrete_Expression.defs.hh
deleted file mode 100644
index 0f30e57..0000000
--- a/src/Concrete_Expression.defs.hh
+++ /dev/null
@@ -1,201 +0,0 @@
-/* Concrete_Expression class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Concrete_Expression_defs_hh
-#define PPL_Concrete_Expression_defs_hh 1
-
-#include "Concrete_Expression.types.hh"
-#include "globals.defs.hh"
-#include "Interval.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-//! The type of a concrete expression.
-class Concrete_Expression_Type {
-public:
- /*! \brief
- Returns the bounded integer type corresponding to \p width,
- \p representation and \p overflow.
- */
- static Concrete_Expression_Type
- bounded_integer(Bounded_Integer_Type_Width width,
- Bounded_Integer_Type_Representation representation,
- Bounded_Integer_Type_Overflow overflow);
-
- /*! \brief
- Returns the floating point type corresponding to \p format.
- */
- static Concrete_Expression_Type
- floating_point(Floating_Point_Format format);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is a bounded
- integer type.
- */
- bool is_bounded_integer() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is a floating
- point type.
- */
- bool is_floating_point() const;
-
- /*! \brief
- Returns the width in bits of the bounded integer type encoded by
- \p *this.
-
- The behavior is undefined if \p *this does not encode a bounded
- integer type.
- */
- Bounded_Integer_Type_Width bounded_integer_type_width() const;
-
- /*! \brief
- Returns the representation of the bounded integer type encoded by
- \p *this.
-
- The behavior is undefined if \p *this does not encode a bounded
- integer type.
- */
- Bounded_Integer_Type_Representation
- bounded_integer_type_representation() const;
-
- /*! \brief
- Returns the overflow behavior of the bounded integer type encoded by
- \p *this.
-
- The behavior is undefined if \p *this does not encode a bounded
- integer type.
- */
- Bounded_Integer_Type_Overflow
- bounded_integer_type_overflow() const;
-
- /*! \brief
- Returns the format of the floating point type encoded by \p *this.
-
- The behavior is undefined if \p *this does not encode a floating
- point type.
- */
- Floating_Point_Format floating_point_format() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
-private:
- //! A 32-bit word encoding the type.
- struct Implementation {
- bool bounded_integer:1;
- unsigned int bounded_integer_type_width:23;
- unsigned int bounded_integer_type_representation:2;
- unsigned int bounded_integer_type_overflow:2;
- unsigned int floating_point_format:4;
- };
-
- //! Constructor from \p implementation.
- Concrete_Expression_Type(Implementation implementation);
-
- //! The encoding of \p *this.
- Implementation impl;
-};
-
-//! Base class for all concrete expressions.
-template <typename Target>
-class Concrete_Expression_Common {
-public:
- //! Returns the type of \* this.
- Concrete_Expression_Type type() const;
-
- //! Returns the kind of \* this.
- Concrete_Expression_Kind kind() const;
-
- //! Tests if \p *this has the same kind as <CODE>Derived<Target></CODE>.
- template <template <typename T> class Derived>
- bool is() const;
-
- /*! \brief
- Returns a pointer to \p *this converted to type
- <CODE>Derived<Target>*</CODE>.
- */
- template <template <typename T> class Derived>
- Derived<Target>* as();
-
- /*! \brief
- Returns a pointer to \p *this converted to type
- <CODE>const Derived<Target>*</CODE>.
- */
- template <template <typename T> class Derived>
- const Derived<Target>* as() const;
-
-};
-
-//! Base class for binary operator applied to two concrete expressions.
-template <typename Target>
-class Binary_Operator_Common {
-public:
- //! Returns a constant identifying the operator of \p *this.
- Concrete_Expression_BOP binary_operator() const;
-
- //! Returns the left-hand side of \p *this.
- const Concrete_Expression<Target>* left_hand_side() const;
-
- //! Returns the right-hand side of \p *this.
- const Concrete_Expression<Target>* right_hand_side() const;
-};
-
-//! Base class for unary operator applied to one concrete expression.
-template <typename Target>
-class Unary_Operator_Common {
-public:
- //! Returns a constant identifying the operator of \p *this.
- Concrete_Expression_UOP unary_operator() const;
-
- //! Returns the argument \p *this.
- const Concrete_Expression<Target>* argument() const;
-};
-
-//! Base class for cast operator concrete expressions.
-template <typename Target>
-class Cast_Operator_Common {
- //! Returns the casted expression.
- const Concrete_Expression<Target>* argument() const;
-};
-
-//! Base class for integer constant concrete expressions.
-template <typename Target>
-class Integer_Constant_Common {
-};
-
-//! Base class for floating-point constant concrete expression.
-template <typename Target>
-class Floating_Point_Constant_Common {
-};
-
-//! Base class for references to some approximable.
-template <typename Target>
-class Approximable_Reference_Common {
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Concrete_Expression.inlines.hh"
-
-#endif // !defined(PPL_Concrete_Expression_defs_hh)
diff --git a/src/Concrete_Expression.inlines.hh b/src/Concrete_Expression.inlines.hh
deleted file mode 100644
index bb2a29d..0000000
--- a/src/Concrete_Expression.inlines.hh
+++ /dev/null
@@ -1,123 +0,0 @@
-/* Concrete_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Concrete_Expression_inlines_hh
-#define PPL_Concrete_Expression_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Concrete_Expression_Type
-::Concrete_Expression_Type(Implementation implementation)
- : impl(implementation) {
-}
-
-inline Concrete_Expression_Type
-Concrete_Expression_Type
-::bounded_integer(const Bounded_Integer_Type_Width width,
- const Bounded_Integer_Type_Representation representation,
- const Bounded_Integer_Type_Overflow overflow) {
- Implementation impl;
- impl.bounded_integer = true;
- impl.bounded_integer_type_width = width;
- impl.bounded_integer_type_representation = representation;
- impl.bounded_integer_type_overflow = overflow;
- // Arbitrary choice to ensure determinism.
- impl.floating_point_format = IEEE754_HALF;
- return Concrete_Expression_Type(impl);
-}
-
-inline Concrete_Expression_Type
-Concrete_Expression_Type
-::floating_point(const Floating_Point_Format format) {
- Implementation impl;
- impl.bounded_integer = false;
- impl.floating_point_format = format;
- // Arbitrary choices to ensure determinism.
- impl.bounded_integer_type_width = BITS_128;
- impl.bounded_integer_type_representation = SIGNED_2_COMPLEMENT;
- impl.bounded_integer_type_overflow = OVERFLOW_IMPOSSIBLE;
- return Concrete_Expression_Type(impl);
-}
-
-inline bool
-Concrete_Expression_Type::is_bounded_integer() const {
- return impl.bounded_integer;
-}
-
-inline bool
-Concrete_Expression_Type::is_floating_point() const {
- return !impl.bounded_integer;
-}
-
-inline Bounded_Integer_Type_Width
-Concrete_Expression_Type::bounded_integer_type_width() const {
- unsigned int u = impl.bounded_integer_type_width;
- return static_cast<Bounded_Integer_Type_Width>(u);
-}
-
-inline Bounded_Integer_Type_Representation
-Concrete_Expression_Type::bounded_integer_type_representation() const {
- unsigned int u = impl.bounded_integer_type_representation;
- return static_cast<Bounded_Integer_Type_Representation>(u);
-}
-
-inline Bounded_Integer_Type_Overflow
-Concrete_Expression_Type::bounded_integer_type_overflow() const {
- unsigned int u = impl.bounded_integer_type_overflow;
- return static_cast<Bounded_Integer_Type_Overflow>(u);
-}
-
-inline Floating_Point_Format
-Concrete_Expression_Type::floating_point_format() const {
- unsigned int u = impl.floating_point_format;
- return static_cast<Floating_Point_Format>(u);
-}
-
-template <typename Target>
-template <template <typename T> class Derived>
-inline bool
-Concrete_Expression_Common<Target>::is() const {
- return static_cast<const Concrete_Expression<Target>*>(this)->kind() ==
- Derived<Target>::KIND;
-}
-
-template <typename Target>
-template <template <typename T> class Derived>
-inline Derived<Target>*
-Concrete_Expression_Common<Target>::as() {
- PPL_ASSERT(is<Derived>());
- return static_cast<Derived<Target>*>(this);
-}
-
-template <typename Target>
-template <template <typename T> class Derived>
-inline const Derived<Target>*
-Concrete_Expression_Common<Target>::as() const {
- PPL_ASSERT(is<Derived>());
- return static_cast<const Derived<Target>*>(this);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Concrete_Expression_inlines_hh)
diff --git a/src/Concrete_Expression.types.hh b/src/Concrete_Expression.types.hh
deleted file mode 100644
index ecf9fde..0000000
--- a/src/Concrete_Expression.types.hh
+++ /dev/null
@@ -1,98 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Concrete_Expression_types_hh
-#define PPL_Concrete_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-/*
- NOTE: Doxygen seems to ignore documentation blocks attached to
- template class declarations that are not provided with a definition.
- This justifies (here below) the explicit use of Doxygen command \class.
-*/
-
-/*! \brief \class Parma_Polyhedra_Library::Concrete_Expression
- The base class of all concrete expressions.
-*/
-template <typename Target>
-class Concrete_Expression;
-
-/*! \brief \class Parma_Polyhedra_Library::Binary_Operator
- A binary operator applied to two concrete expressions.
-*/
-template <typename Target>
-class Binary_Operator;
-
-/*! \brief \class Parma_Polyhedra_Library::Unary_Operator
- A unary operator applied to one concrete expression.
-*/
-template <typename Target>
-class Unary_Operator;
-
-/*! \brief \class Parma_Polyhedra_Library::Cast_Operator
- A cast operator converting one concrete expression to some type.
-*/
-template <typename Target>
-class Cast_Operator;
-
-/*! \brief \class Parma_Polyhedra_Library::Integer_Constant
- An integer constant concrete expression.
-*/
-template <typename Target>
-class Integer_Constant;
-
-/*! \brief \class Parma_Polyhedra_Library::Floating_Point_Constant
- A floating-point constant concrete expression.
-*/
-template <typename Target>
-class Floating_Point_Constant;
-
-/*! \brief \class Parma_Polyhedra_Library::Approximable_Reference
- A concrete expression representing a reference to some approximable.
-*/
-template <typename Target>
-class Approximable_Reference;
-
-class Concrete_Expression_Type;
-
-/*! \brief
- Encodes the kind of concrete expression.
-
- The values should be defined by the particular instance
- and uniquely identify one of: Binary_Operator, Unary_Operator,
- Cast_Operator, Integer_Constant, Floating_Point_Constant, or
- Approximable_Reference. For example, the Binary_Operator kind
- integer constant should be defined by an instance as the member
- <CODE>Binary_Operator<T>::KIND</CODE>
-*/
-typedef int Concrete_Expression_Kind;
-
-/*! \brief
- Encodes a binary operator of concrete expressions.
-
- The values should be uniquely defined by the particular instance and
- named: ADD, SUB, MUL, DIV, REM, BAND, BOR, BXOR, LSHIFT, RSHIFT.
-*/
-typedef int Concrete_Expression_BOP;
-
-/*! \brief
- Encodes a unary operator of concrete expressions.
-
- The values should be uniquely defined by the particular instance and
- named: PLUS, MINUS, BNOT.
-*/
-typedef int Concrete_Expression_UOP;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Concrete_Expression_types_hh)
diff --git a/src/Concrete_Expression_defs.hh b/src/Concrete_Expression_defs.hh
new file mode 100644
index 0000000..d59e1c9
--- /dev/null
+++ b/src/Concrete_Expression_defs.hh
@@ -0,0 +1,201 @@
+/* Concrete_Expression class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Concrete_Expression_defs_hh
+#define PPL_Concrete_Expression_defs_hh 1
+
+#include "Concrete_Expression_types.hh"
+#include "globals_defs.hh"
+#include "Interval_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+//! The type of a concrete expression.
+class Concrete_Expression_Type {
+public:
+ /*! \brief
+ Returns the bounded integer type corresponding to \p width,
+ \p representation and \p overflow.
+ */
+ static Concrete_Expression_Type
+ bounded_integer(Bounded_Integer_Type_Width width,
+ Bounded_Integer_Type_Representation representation,
+ Bounded_Integer_Type_Overflow overflow);
+
+ /*! \brief
+ Returns the floating point type corresponding to \p format.
+ */
+ static Concrete_Expression_Type
+ floating_point(Floating_Point_Format format);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is a bounded
+ integer type.
+ */
+ bool is_bounded_integer() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is a floating
+ point type.
+ */
+ bool is_floating_point() const;
+
+ /*! \brief
+ Returns the width in bits of the bounded integer type encoded by
+ \p *this.
+
+ The behavior is undefined if \p *this does not encode a bounded
+ integer type.
+ */
+ Bounded_Integer_Type_Width bounded_integer_type_width() const;
+
+ /*! \brief
+ Returns the representation of the bounded integer type encoded by
+ \p *this.
+
+ The behavior is undefined if \p *this does not encode a bounded
+ integer type.
+ */
+ Bounded_Integer_Type_Representation
+ bounded_integer_type_representation() const;
+
+ /*! \brief
+ Returns the overflow behavior of the bounded integer type encoded by
+ \p *this.
+
+ The behavior is undefined if \p *this does not encode a bounded
+ integer type.
+ */
+ Bounded_Integer_Type_Overflow
+ bounded_integer_type_overflow() const;
+
+ /*! \brief
+ Returns the format of the floating point type encoded by \p *this.
+
+ The behavior is undefined if \p *this does not encode a floating
+ point type.
+ */
+ Floating_Point_Format floating_point_format() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+private:
+ //! A 32-bit word encoding the type.
+ struct Implementation {
+ bool bounded_integer:1;
+ unsigned int bounded_integer_type_width:23;
+ unsigned int bounded_integer_type_representation:2;
+ unsigned int bounded_integer_type_overflow:2;
+ unsigned int floating_point_format:4;
+ };
+
+ //! Constructor from \p implementation.
+ Concrete_Expression_Type(Implementation implementation);
+
+ //! The encoding of \p *this.
+ Implementation impl;
+};
+
+//! Base class for all concrete expressions.
+template <typename Target>
+class Concrete_Expression_Common {
+public:
+ //! Returns the type of \* this.
+ Concrete_Expression_Type type() const;
+
+ //! Returns the kind of \* this.
+ Concrete_Expression_Kind kind() const;
+
+ //! Tests if \p *this has the same kind as <CODE>Derived\<Target\></CODE>.
+ template <template <typename T> class Derived>
+ bool is() const;
+
+ /*! \brief
+ Returns a pointer to \p *this converted to type
+ <CODE>Derived\<Target\>*</CODE>.
+ */
+ template <template <typename T> class Derived>
+ Derived<Target>* as();
+
+ /*! \brief
+ Returns a pointer to \p *this converted to type
+ <CODE>const Derived\<Target\>*</CODE>.
+ */
+ template <template <typename T> class Derived>
+ const Derived<Target>* as() const;
+
+};
+
+//! Base class for binary operator applied to two concrete expressions.
+template <typename Target>
+class Binary_Operator_Common {
+public:
+ //! Returns a constant identifying the operator of \p *this.
+ Concrete_Expression_BOP binary_operator() const;
+
+ //! Returns the left-hand side of \p *this.
+ const Concrete_Expression<Target>* left_hand_side() const;
+
+ //! Returns the right-hand side of \p *this.
+ const Concrete_Expression<Target>* right_hand_side() const;
+};
+
+//! Base class for unary operator applied to one concrete expression.
+template <typename Target>
+class Unary_Operator_Common {
+public:
+ //! Returns a constant identifying the operator of \p *this.
+ Concrete_Expression_UOP unary_operator() const;
+
+ //! Returns the argument \p *this.
+ const Concrete_Expression<Target>* argument() const;
+};
+
+//! Base class for cast operator concrete expressions.
+template <typename Target>
+class Cast_Operator_Common {
+ //! Returns the casted expression.
+ const Concrete_Expression<Target>* argument() const;
+};
+
+//! Base class for integer constant concrete expressions.
+template <typename Target>
+class Integer_Constant_Common {
+};
+
+//! Base class for floating-point constant concrete expression.
+template <typename Target>
+class Floating_Point_Constant_Common {
+};
+
+//! Base class for references to some approximable.
+template <typename Target>
+class Approximable_Reference_Common {
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Concrete_Expression_inlines.hh"
+
+#endif // !defined(PPL_Concrete_Expression_defs_hh)
diff --git a/src/Concrete_Expression_inlines.hh b/src/Concrete_Expression_inlines.hh
new file mode 100644
index 0000000..e6963e6
--- /dev/null
+++ b/src/Concrete_Expression_inlines.hh
@@ -0,0 +1,123 @@
+/* Concrete_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Concrete_Expression_inlines_hh
+#define PPL_Concrete_Expression_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Concrete_Expression_Type
+::Concrete_Expression_Type(Implementation implementation)
+ : impl(implementation) {
+}
+
+inline Concrete_Expression_Type
+Concrete_Expression_Type
+::bounded_integer(const Bounded_Integer_Type_Width width,
+ const Bounded_Integer_Type_Representation representation,
+ const Bounded_Integer_Type_Overflow overflow) {
+ Implementation impl;
+ impl.bounded_integer = true;
+ impl.bounded_integer_type_width = width;
+ impl.bounded_integer_type_representation = representation;
+ impl.bounded_integer_type_overflow = overflow;
+ // Arbitrary choice to ensure determinism.
+ impl.floating_point_format = IEEE754_HALF;
+ return Concrete_Expression_Type(impl);
+}
+
+inline Concrete_Expression_Type
+Concrete_Expression_Type
+::floating_point(const Floating_Point_Format format) {
+ Implementation impl;
+ impl.bounded_integer = false;
+ impl.floating_point_format = format;
+ // Arbitrary choices to ensure determinism.
+ impl.bounded_integer_type_width = BITS_128;
+ impl.bounded_integer_type_representation = SIGNED_2_COMPLEMENT;
+ impl.bounded_integer_type_overflow = OVERFLOW_IMPOSSIBLE;
+ return Concrete_Expression_Type(impl);
+}
+
+inline bool
+Concrete_Expression_Type::is_bounded_integer() const {
+ return impl.bounded_integer;
+}
+
+inline bool
+Concrete_Expression_Type::is_floating_point() const {
+ return !impl.bounded_integer;
+}
+
+inline Bounded_Integer_Type_Width
+Concrete_Expression_Type::bounded_integer_type_width() const {
+ const unsigned int u = impl.bounded_integer_type_width;
+ return static_cast<Bounded_Integer_Type_Width>(u);
+}
+
+inline Bounded_Integer_Type_Representation
+Concrete_Expression_Type::bounded_integer_type_representation() const {
+ const unsigned int u = impl.bounded_integer_type_representation;
+ return static_cast<Bounded_Integer_Type_Representation>(u);
+}
+
+inline Bounded_Integer_Type_Overflow
+Concrete_Expression_Type::bounded_integer_type_overflow() const {
+ const unsigned int u = impl.bounded_integer_type_overflow;
+ return static_cast<Bounded_Integer_Type_Overflow>(u);
+}
+
+inline Floating_Point_Format
+Concrete_Expression_Type::floating_point_format() const {
+ const unsigned int u = impl.floating_point_format;
+ return static_cast<Floating_Point_Format>(u);
+}
+
+template <typename Target>
+template <template <typename T> class Derived>
+inline bool
+Concrete_Expression_Common<Target>::is() const {
+ return static_cast<const Concrete_Expression<Target>*>(this)->kind() ==
+ Derived<Target>::KIND;
+}
+
+template <typename Target>
+template <template <typename T> class Derived>
+inline Derived<Target>*
+Concrete_Expression_Common<Target>::as() {
+ PPL_ASSERT(is<Derived>());
+ return static_cast<Derived<Target>*>(this);
+}
+
+template <typename Target>
+template <template <typename T> class Derived>
+inline const Derived<Target>*
+Concrete_Expression_Common<Target>::as() const {
+ PPL_ASSERT(is<Derived>());
+ return static_cast<const Derived<Target>*>(this);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Concrete_Expression_inlines_hh)
diff --git a/src/Concrete_Expression_types.hh b/src/Concrete_Expression_types.hh
new file mode 100644
index 0000000..ea0f68e
--- /dev/null
+++ b/src/Concrete_Expression_types.hh
@@ -0,0 +1,98 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Concrete_Expression_types_hh
+#define PPL_Concrete_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+/*
+ NOTE: Doxygen seems to ignore documentation blocks attached to
+ template class declarations that are not provided with a definition.
+ This justifies (here below) the explicit use of Doxygen command \class.
+*/
+
+/*! \brief The base class of all concrete expressions.
+ \class Parma_Polyhedra_Library::Concrete_Expression
+*/
+template <typename Target>
+class Concrete_Expression;
+
+/*! \brief A binary operator applied to two concrete expressions.
+ \class Parma_Polyhedra_Library::Binary_Operator
+*/
+template <typename Target>
+class Binary_Operator;
+
+/*! \brief A unary operator applied to one concrete expression.
+ \class Parma_Polyhedra_Library::Unary_Operator
+*/
+template <typename Target>
+class Unary_Operator;
+
+/*! \brief A cast operator converting one concrete expression to some type.
+ \class Parma_Polyhedra_Library::Cast_Operator
+*/
+template <typename Target>
+class Cast_Operator;
+
+/*! \brief An integer constant concrete expression.
+ \class Parma_Polyhedra_Library::Integer_Constant
+*/
+template <typename Target>
+class Integer_Constant;
+
+/*! \brief A floating-point constant concrete expression.
+ \class Parma_Polyhedra_Library::Floating_Point_Constant
+*/
+template <typename Target>
+class Floating_Point_Constant;
+
+/*! \brief A concrete expression representing a reference to some approximable.
+ \class Parma_Polyhedra_Library::Approximable_Reference
+*/
+template <typename Target>
+class Approximable_Reference;
+
+class Concrete_Expression_Type;
+
+/*! \brief
+ Encodes the kind of concrete expression.
+
+ The values should be defined by the particular instance
+ and uniquely identify one of: Binary_Operator, Unary_Operator,
+ Cast_Operator, Integer_Constant, Floating_Point_Constant, or
+ Approximable_Reference. For example, the Binary_Operator kind
+ integer constant should be defined by an instance as the member
+ <CODE>Binary_Operator\<T\>::%KIND</CODE>.
+*/
+typedef int Concrete_Expression_Kind;
+
+/*! \brief
+ Encodes a binary operator of concrete expressions.
+
+ The values should be uniquely defined by the particular instance and
+ named: ADD, SUB, MUL, DIV, REM, BAND, BOR, BXOR, LSHIFT, RSHIFT.
+*/
+typedef int Concrete_Expression_BOP;
+
+/*! \brief
+ Encodes a unary operator of concrete expressions.
+
+ The values should be uniquely defined by the particular instance and
+ named: PLUS, MINUS, BNOT.
+*/
+typedef int Concrete_Expression_UOP;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Concrete_Expression_types_hh)
diff --git a/src/Congruence.cc b/src/Congruence.cc
index 54d3026..a8ad80b 100644
--- a/src/Congruence.cc
+++ b/src/Congruence.cc
@@ -1,6 +1,6 @@
/* Congruence class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,9 +22,9 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Congruence.defs.hh"
-#include "Variable.defs.hh"
-#include "Constraint.defs.hh"
+#include "Congruence_defs.hh"
+#include "Variable_defs.hh"
+#include "Constraint_defs.hh"
#include "assert.hh"
#include <iostream>
#include <sstream>
@@ -128,7 +128,7 @@ PPL::Congruence
PPL::Congruence
PPL::Congruence::create(const Linear_Expression& e1,
- const Linear_Expression& e2,
+ const Linear_Expression& e2,
Representation r) {
Linear_Expression e(e1,
std::max(e1.space_dimension(), e2.space_dimension()),
@@ -139,7 +139,7 @@ PPL::Congruence::create(const Linear_Expression& e1,
void
PPL::Congruence::throw_invalid_argument(const char* method,
- const char* message) const {
+ const char* message) const {
std::ostringstream s;
s << "PPL::Congruence::" << method << ":" << std::endl
<< message;
@@ -148,12 +148,12 @@ PPL::Congruence::throw_invalid_argument(const char* method,
void
PPL::Congruence::throw_dimension_incompatible(const char* method,
- const char* v_name,
- const Variable v) const {
+ const char* v_name,
+ const Variable v) const {
std::ostringstream s;
s << "this->space_dimension() == " << space_dimension() << ", "
<< v_name << ".space_dimension() == " << v.space_dimension() << ".";
- std::string str = s.str();
+ const std::string str = s.str();
throw_invalid_argument(method, str.c_str());
}
@@ -163,8 +163,9 @@ PPL::IO_Operators::operator<<(std::ostream& s, const Congruence& c) {
const dimension_type num_variables = c.space_dimension();
PPL_DIRTY_TEMP_COEFFICIENT(cv);
bool first = true;
- for (Congruence::Expression::const_iterator i = c.expression().begin(),
- i_end = c.expression().lower_bound(Variable(num_variables)); i != i_end; ++i) {
+ const Congruence::expr_type c_e = c.expression();
+ for (Congruence::expr_type::const_iterator i = c_e.begin(),
+ i_end = c_e.lower_bound(Variable(num_variables)); i != i_end; ++i) {
cv = *i;
if (!first) {
if (cv > 0)
@@ -235,7 +236,7 @@ PPL::Congruence::OK() const {
if (modulus() < 0) {
#ifndef NDEBUG
std::cerr << "Congruence has a negative modulus " << modulus() << "."
- << std::endl;
+ << std::endl;
#endif
return false;
}
diff --git a/src/Congruence.defs.hh b/src/Congruence.defs.hh
deleted file mode 100644
index 79f0124..0000000
--- a/src/Congruence.defs.hh
+++ /dev/null
@@ -1,504 +0,0 @@
-/* Congruence class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Congruence_defs_hh
-#define PPL_Congruence_defs_hh 1
-
-#include "Congruence.types.hh"
-
-#include "Coefficient.defs.hh"
-#include "Variable.defs.hh"
-
-#include "Constraint.types.hh"
-#include "Grid.types.hh"
-#include "Linear_Expression.defs.hh"
-
-#include <iosfwd>
-#include <vector>
-
-// These are declared here because they are friend of Congruence.
-namespace Parma_Polyhedra_Library {
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equivalent.
-/*! \relates Congruence */
-bool
-operator==(const Congruence& x, const Congruence& y);
-
-//! Returns <CODE>false</CODE> if and only if \p x and \p y are equivalent.
-/*! \relates Congruence */
-bool
-operator!=(const Congruence& x, const Congruence& y);
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! A linear congruence.
-/*! \ingroup PPL_CXX_interface
- An object of the class Congruence is a congruence:
- - \f$\cg = \sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod m\f$
-
- where \f$n\f$ is the dimension of the space,
- \f$a_i\f$ is the integer coefficient of variable \f$x_i\f$,
- \f$b\f$ is the integer inhomogeneous term and \f$m\f$ is the integer modulus;
- if \f$m = 0\f$, then \f$\cg\f$ represents the equality congruence
- \f$\sum_{i=0}^{n-1} a_i x_i + b = 0\f$
- and, if \f$m \neq 0\f$, then the congruence \f$\cg\f$ is
- said to be a proper congruence.
-
- \par How to build a congruence
- Congruences \f$\pmod{1}\f$ are typically built by
- applying the congruence symbol `<CODE>\%=</CODE>'
- to a pair of linear expressions.
- Congruences with modulus \p m
- are typically constructed by building a congruence \f$\pmod{1}\f$
- using the given pair of linear expressions
- and then adding the modulus \p m
- using the modulus symbol is `<CODE>/</CODE>'.
-
- The space dimension of a congruence is defined as the maximum
- space dimension of the arguments of its constructor.
-
- \par
- In the following examples it is assumed that variables
- <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
- are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- Variable z(2);
- \endcode
-
- \par Example 1
- The following code builds the equality congruence
- \f$3x + 5y - z = 0\f$, having space dimension \f$3\f$:
- \code
- Congruence eq_cg((3*x + 5*y - z %= 0) / 0);
- \endcode
- The following code builds the congruence
- \f$4x = 2y - 13 \pmod{1}\f$, having space dimension \f$2\f$:
- \code
- Congruence mod1_cg(4*x %= 2*y - 13);
- \endcode
- The following code builds the congruence
- \f$4x = 2y - 13 \pmod{2}\f$, having space dimension \f$2\f$:
- \code
- Congruence mod2_cg((4*x %= 2*y - 13) / 2);
- \endcode
- An unsatisfiable congruence on the zero-dimension space \f$\Rset^0\f$
- can be specified as follows:
- \code
- Congruence false_cg = Congruence::zero_dim_false();
- \endcode
- Equivalent, but more involved ways are the following:
- \code
- Congruence false_cg1((Linear_Expression::zero() %= 1) / 0);
- Congruence false_cg2((Linear_Expression::zero() %= 1) / 2);
- \endcode
- In contrast, the following code defines an unsatisfiable congruence
- having space dimension \f$3\f$:
- \code
- Congruence false_cg3((0*z %= 1) / 0);
- \endcode
-
- \par How to inspect a congruence
- Several methods are provided to examine a congruence and extract
- all the encoded information: its space dimension, its modulus
- and the value of its integer coefficients.
-
- \par Example 2
- The following code shows how it is possible to access the modulus
- as well as each of the coefficients.
- Given a congruence with linear expression \p e and modulus \p m
- (in this case \f$x - 5y + 3z = 4 \pmod{5}\f$), we construct a new
- congruence with the same modulus \p m but where the linear
- expression is \f$2 e\f$ (\f$2x - 10y + 6z = 8 \pmod{5}\f$).
- \code
- Congruence cg1((x - 5*y + 3*z %= 4) / 5);
- cout << "Congruence cg1: " << cg1 << endl;
- const Coefficient& m = cg1.modulus();
- if (m == 0)
- cout << "Congruence cg1 is an equality." << endl;
- else {
- Linear_Expression e;
- for (dimension_type i = cg1.space_dimension(); i-- > 0; )
- e += 2 * cg1.coefficient(Variable(i)) * Variable(i);
- e += 2 * cg1.inhomogeneous_term();
- Congruence cg2((e %= 0) / m);
- cout << "Congruence cg2: " << cg2 << endl;
- }
- \endcode
- The actual output could be the following:
- \code
- Congruence cg1: A - 5*B + 3*C %= 4 / 5
- Congruence cg2: 2*A - 10*B + 6*C %= 8 / 5
- \endcode
- Note that, in general, the particular output obtained can be
- syntactically different from the (semantically equivalent)
- congruence considered.
-*/
-class Parma_Polyhedra_Library::Congruence {
-public:
-
- //! The representation used for new Congruences.
- /*!
- \note The copy constructor and the copy constructor with specified size
- use the representation of the original object, so that it is
- indistinguishable from the original object.
- */
- static const Representation default_representation = SPARSE;
-
- //! Constructs the 0 = 0 congruence with space dimension \p 0 .
- explicit Congruence(Representation r = default_representation);
-
- //! Ordinary copy constructor.
- /*!
- \note The new Congruence will have the same representation as `cg',
- not default_representation, so that they are indistinguishable.
- */
- Congruence(const Congruence& cg);
-
- //! Copy constructor with specified representation.
- Congruence(const Congruence& cg, Representation r);
-
- //! Copy-constructs (modulo 0) from equality constraint \p c.
- /*!
- \exception std::invalid_argument
- Thrown if \p c is an inequality.
- */
- explicit Congruence(const Constraint& c,
- Representation r = default_representation);
-
- //! Destructor.
- ~Congruence();
-
- //! Assignment operator.
- Congruence& operator=(const Congruence& y);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Congruence can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- void permute_space_dimensions(const std::vector<Variable>& cycles);
-
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Linear_Expression Expression;
-
- const Expression& expression() const;
-
- //! Returns the coefficient of \p v in \p *this.
- /*!
- \exception std::invalid_argument thrown if the index of \p v
- is greater than or equal to the space dimension of \p *this.
- */
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Returns a const reference to the modulus of \p *this.
- Coefficient_traits::const_reference modulus() const;
-
- //! Sets the modulus of \p *this to \p m .
- //! If \p m is 0, the congruence becomes an equality.
- void set_modulus(Coefficient_traits::const_reference m);
-
- //! Multiplies all the coefficients, including the modulus, by \p factor .
- void scale(Coefficient_traits::const_reference factor);
-
- // TODO: Document this.
- void affine_preimage(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator);
-
- //! Multiplies \p k into the modulus of \p *this.
- /*!
- If called with \p *this representing the congruence \f$ e_1 = e_2
- \pmod{m}\f$, then it returns with *this representing
- the congruence \f$ e_1 = e_2 \pmod{mk}\f$.
- */
- Congruence&
- operator/=(Coefficient_traits::const_reference k);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is a tautology
- (i.e., an always true congruence).
-
- A tautological congruence has one the following two forms:
- - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + 0 == 0\f$; or
- - a proper congruence: \f$\sum_{i=0}^{n-1} 0 x_i + b \%= 0 / m\f$,
- where \f$b = 0 \pmod{m}\f$.
- */
- bool is_tautological() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is inconsistent (i.e., an always false congruence).
-
- An inconsistent congruence has one of the following two forms:
- - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + b == 0\f$
- where \f$b \neq 0\f$; or
- - a proper congruence: \f$\sum_{i=0}^{n-1} 0 x_i + b \%= 0 / m\f$,
- where \f$b \neq 0 \pmod{m}\f$.
- */
- bool is_inconsistent() const;
-
- //! Returns <CODE>true</CODE> if the modulus is greater than zero.
- /*!
- A congruence with a modulus of 0 is a linear equality.
- */
- bool is_proper_congruence() const;
-
- //! Returns <CODE>true</CODE> if \p *this is an equality.
- /*!
- A modulus of zero denotes a linear equality.
- */
- bool is_equality() const;
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- /*! \brief
- Returns a reference to the true (zero-dimension space) congruence
- \f$0 = 1 \pmod{1}\f$, also known as the <EM>integrality
- congruence</EM>.
- */
- static const Congruence& zero_dim_integrality();
-
- /*! \brief
- Returns a reference to the false (zero-dimension space) congruence
- \f$0 = 1 \pmod{0}\f$.
- */
- static const Congruence& zero_dim_false();
-
- //! Returns the congruence \f$e1 = e2 \pmod{1}\f$.
- static Congruence
- create(const Linear_Expression& e1, const Linear_Expression& e2,
- Representation r = default_representation);
-
- //! Returns the congruence \f$e = n \pmod{1}\f$.
- static Congruence
- create(const Linear_Expression& e, Coefficient_traits::const_reference n,
- Representation r = default_representation);
-
- //! Returns the congruence \f$n = e \pmod{1}\f$.
- static Congruence
- create(Coefficient_traits::const_reference n, const Linear_Expression& e,
- Representation r = default_representation);
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation of the internal
- representation of \p *this.
- */
- bool ascii_load(std::istream& s);
-
- //! Swaps \p *this with \p y.
- void m_swap(Congruence& y);
-
- //! Copy-constructs with the specified space dimension.
- /*!
- \note The new Congruence will have the same representation as `cg',
- not default_representation, for consistency with the copy
- constructor.
- */
- Congruence(const Congruence& cg, dimension_type new_space_dimension);
-
- //! Copy-constructs with the specified space dimension and representation.
- Congruence(const Congruence& cg, dimension_type new_space_dimension,
- Representation r);
-
- //! Copy-constructs from a constraint, with the specified space dimension
- //! and (optional) representation.
- Congruence(const Constraint& cg, dimension_type new_space_dimension,
- Representation r = default_representation);
-
- //! Constructs from Linear_Expression \p le, using modulus \p m.
- /*!
- Builds a congruence with modulus \p m, stealing the coefficients
- from \p le.
-
- \note The new Congruence will have the same representation as `le'.
-
- \param le
- The Linear_Expression holding the coefficients.
-
- \param m
- The modulus for the congruence, which must be zero or greater.
- */
- Congruence(Linear_Expression& le,
- Coefficient_traits::const_reference m, Recycle_Input);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Sets the space dimension by \p n , adding or removing coefficients as
- //! needed.
- void set_space_dimension(dimension_type n);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Normalizes the signs.
- /*!
- The signs of the coefficients and the inhomogeneous term are
- normalized, leaving the first non-zero homogeneous coefficient
- positive.
- */
- void sign_normalize();
-
- //! Normalizes signs and the inhomogeneous term.
- /*!
- Applies sign_normalize, then reduces the inhomogeneous term to the
- smallest possible positive number.
- */
- void normalize();
-
- //! Calls normalize, then divides out common factors.
- /*!
- Strongly normalized Congruences have equivalent semantics if and
- only if they have the same syntax (as output by operator<<).
- */
- void strong_normalize();
-
-private:
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the false (zero-dimension space) congruence \f$0 = 1 \pmod{0}\f$.
- */
- static const Congruence* zero_dim_false_p;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the true (zero-dimension space) congruence \f$0 = 1 \pmod{1}\f$,
- also known as the <EM>integrality congruence</EM>.
- */
- static const Congruence* zero_dim_integrality_p;
-
- Linear_Expression expr;
-
- Coefficient modulus_;
-
- /*! \brief
- Returns <CODE>true</CODE> if \p *this is equal to \p cg in
- dimension \p v.
- */
- bool is_equal_at_dimension(Variable v,
- const Congruence& cg) const;
-
- /*! \brief
- Throws a <CODE>std::invalid_argument</CODE> exception containing
- error message \p message.
- */
- void
- throw_invalid_argument(const char* method, const char* message) const;
-
- /*! \brief
- Throws a <CODE>std::invalid_argument</CODE> exception containing
- the appropriate error message.
- */
- void
- throw_dimension_incompatible(const char* method,
- const char* v_name,
- Variable v) const;
-
- friend bool
- operator==(const Congruence& x, const Congruence& y);
-
- friend bool
- operator!=(const Congruence& x, const Congruence& y);
-
- friend class Grid;
-};
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operators.
-
-/*! \relates Parma_Polyhedra_Library::Congruence */
-std::ostream&
-operator<<(std::ostream& s, const Congruence& c);
-
-} // namespace IO_Operators
-
-//! Returns the congruence \f$e1 = e2 \pmod{1}\f$.
-/*! \relates Congruence */
-Congruence
-operator%=(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the congruence \f$e = n \pmod{1}\f$.
-/*! \relates Congruence */
-Congruence
-operator%=(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns a copy of \p cg, multiplying \p k into the copy's modulus.
-/*!
- If \p cg represents the congruence \f$ e_1 = e_2
- \pmod{m}\f$, then the result represents the
- congruence \f$ e_1 = e_2 \pmod{mk}\f$.
- \relates Congruence
-*/
-Congruence
-operator/(const Congruence& cg, Coefficient_traits::const_reference k);
-
-//! Creates a congruence from \p c, with \p m as the modulus.
-/*! \relates Congruence */
-Congruence
-operator/(const Constraint& c, Coefficient_traits::const_reference m);
-
-/*! \relates Congruence */
-void
-swap(Congruence& x, Congruence& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Congruence.inlines.hh"
-
-#endif // !defined(PPL_Congruence_defs_hh)
diff --git a/src/Congruence.inlines.hh b/src/Congruence.inlines.hh
deleted file mode 100644
index b8f8136..0000000
--- a/src/Congruence.inlines.hh
+++ /dev/null
@@ -1,281 +0,0 @@
-/* Congruence class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Congruence_inlines_hh
-#define PPL_Congruence_inlines_hh 1
-
-#include <sstream>
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Congruence::Congruence(Representation r)
- : expr(r) {
- PPL_ASSERT(OK());
-}
-
-inline
-Congruence::Congruence(const Congruence& cg)
- : expr(cg.expr), modulus_(cg.modulus_) {
-}
-
-inline
-Congruence::Congruence(const Congruence& cg, Representation r)
- : expr(cg.expr, r), modulus_(cg.modulus_) {
-}
-
-inline
-Congruence::Congruence(const Congruence& cg,
- dimension_type new_space_dimension)
- : expr(cg.expr, new_space_dimension), modulus_(cg.modulus_) {
- PPL_ASSERT(OK());
-}
-
-inline
-Congruence::Congruence(const Congruence& cg,
- dimension_type new_space_dimension,
- Representation r)
- : expr(cg.expr, new_space_dimension, r), modulus_(cg.modulus_) {
- PPL_ASSERT(OK());
-}
-
-inline Representation
-Congruence::representation() const {
- return expr.representation();
-}
-
-inline void
-Congruence::set_representation(Representation r) {
- expr.set_representation(r);
-}
-
-inline const Congruence::Expression&
-Congruence::expression() const {
- return expr;
-}
-
-inline void
-Congruence::set_space_dimension(dimension_type n) {
- expr.set_space_dimension(n);
- PPL_ASSERT(OK());
-}
-
-inline void
-Congruence::shift_space_dimensions(Variable v, dimension_type n) {
- expr.shift_space_dimensions(v, n);
-}
-
-inline
-Congruence::~Congruence() {
-}
-
-inline
-Congruence::Congruence(Linear_Expression& le,
- Coefficient_traits::const_reference m,
- Recycle_Input)
- : modulus_(m) {
- PPL_ASSERT(m >= 0);
- swap(expr, le);
-
- PPL_ASSERT(OK());
-}
-
-inline Congruence
-Congruence::create(const Linear_Expression& e,
- Coefficient_traits::const_reference n,
- Representation r) {
- Linear_Expression diff(e, r);
- diff -= n;
- Congruence cg(diff, 1, Recycle_Input());
- return cg;
-}
-
-inline Congruence
-Congruence::create(Coefficient_traits::const_reference n,
- const Linear_Expression& e,
- Representation r) {
- Linear_Expression diff(e, r);
- diff -= n;
- Congruence cg(diff, 1, Recycle_Input());
- return cg;
-}
-
-/*! \relates Parma_Polyhedra_Library::Congruence */
-inline Congruence
-operator%=(const Linear_Expression& e1, const Linear_Expression& e2) {
- return Congruence::create(e1, e2);
-}
-
-/*! \relates Parma_Polyhedra_Library::Congruence */
-inline Congruence
-operator%=(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- return Congruence::create(e, n);
-}
-
-/*! \relates Parma_Polyhedra_Library::Congruence */
-inline Congruence
-operator/(const Congruence& cg, Coefficient_traits::const_reference k) {
- Congruence ret = cg;
- ret /= k;
- return ret;
-}
-
-inline const Congruence&
-Congruence::zero_dim_integrality() {
- return *zero_dim_integrality_p;
-}
-
-inline const Congruence&
-Congruence::zero_dim_false() {
- return *zero_dim_false_p;
-}
-
-inline Congruence&
-Congruence::operator=(const Congruence& y) {
- Congruence tmp = y;
- swap(*this, tmp);
- return *this;
-}
-
-/*! \relates Congruence */
-inline Congruence
-operator/(const Constraint& c, Coefficient_traits::const_reference m) {
- Congruence ret(c);
- ret /= m;
- return ret;
-}
-
-inline Congruence&
-Congruence::operator/=(Coefficient_traits::const_reference k) {
- if (k >= 0)
- modulus_ *= k;
- else
- modulus_ *= -k;
- return *this;
-}
-
-/*! \relates Congruence */
-inline bool
-operator==(const Congruence& x, const Congruence& y) {
- if (x.space_dimension() != y.space_dimension())
- return false;
- Congruence x_temp(x);
- Congruence y_temp(y);
- x_temp.strong_normalize();
- y_temp.strong_normalize();
- return x_temp.expr.is_equal_to(y_temp.expr)
- && x_temp.modulus() == y_temp.modulus();
-}
-
-/*! \relates Congruence */
-inline bool
-operator!=(const Congruence& x, const Congruence& y) {
- return !(x == y);
-}
-
-inline dimension_type
-Congruence::max_space_dimension() {
- return Linear_Expression::max_space_dimension();
-}
-
-inline dimension_type
-Congruence::space_dimension() const {
- return expr.space_dimension();
-}
-
-inline Coefficient_traits::const_reference
-Congruence::coefficient(const Variable v) const {
- if (v.space_dimension() > space_dimension())
- throw_dimension_incompatible("coefficient(v)", "v", v);
- return expr.coefficient(v);
-}
-
-inline void
-Congruence::permute_space_dimensions(const std::vector<Variable>& cycles) {
- expr.permute_space_dimensions(cycles);
-}
-
-inline Coefficient_traits::const_reference
-Congruence::inhomogeneous_term() const {
- return expr.inhomogeneous_term();
-}
-
-inline Coefficient_traits::const_reference
-Congruence::modulus() const {
- return modulus_;
-}
-
-inline void
-Congruence::set_modulus(Coefficient_traits::const_reference m) {
- modulus_ = m;
- PPL_ASSERT(OK());
-}
-
-inline bool
-Congruence::is_proper_congruence() const {
- return modulus() > 0;
-}
-
-inline bool
-Congruence::is_equality() const {
- return modulus() == 0;
-}
-
-inline bool
-Congruence::is_equal_at_dimension(Variable v,
- const Congruence& cg) const {
- return coefficient(v) * cg.modulus() == cg.coefficient(v) * modulus();
-}
-
-inline memory_size_type
-Congruence::external_memory_in_bytes() const {
- return expr.external_memory_in_bytes()
- + Parma_Polyhedra_Library::external_memory_in_bytes(modulus_);
-}
-
-inline memory_size_type
-Congruence::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-inline void
-Congruence::m_swap(Congruence& y) {
- using std::swap;
- swap(expr, y.expr);
- swap(modulus_, y.modulus_);
-}
-
-inline void
-Congruence::swap_space_dimensions(Variable v1, Variable v2) {
- expr.swap_space_dimensions(v1, v2);
-}
-
-/*! \relates Congruence */
-inline void
-swap(Congruence& x, Congruence& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Congruence_inlines_hh)
diff --git a/src/Congruence.types.hh b/src/Congruence.types.hh
deleted file mode 100644
index 37060e2..0000000
--- a/src/Congruence.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Congruence_types_hh
-#define PPL_Congruence_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Congruence;
-
-}
-
-#endif // !defined(PPL_Congruence_types_hh)
diff --git a/src/Congruence_System.cc b/src/Congruence_System.cc
index 9776bc3..f4edb8f 100644
--- a/src/Congruence_System.cc
+++ b/src/Congruence_System.cc
@@ -1,6 +1,6 @@
/* Congruence_System class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,14 +22,14 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Congruence.defs.hh"
-#include "Grid_Generator.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Congruence_defs.hh"
+#include "Grid_Generator_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
#include "assert.hh"
#include <string>
#include <vector>
@@ -44,7 +44,7 @@ PPL::Congruence_System::Congruence_System(const Constraint_System& cs,
space_dimension_(cs.space_dimension()),
representation_(r) {
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
if (i->is_equality())
insert(*i);
}
@@ -173,7 +173,7 @@ PPL::Congruence_System::insert(const Congruence_System& y) {
void
PPL::Congruence_System::normalize_moduli() {
- Congruence_System& cgs = *this;
+ const Congruence_System& cgs = *this;
dimension_type row = cgs.num_rows();
if (row > 0) {
// Calculate the LCM of all the moduli.
@@ -183,16 +183,16 @@ PPL::Congruence_System::normalize_moduli() {
--row;
lcm = cgs[row].modulus();
if (lcm > 0)
- break;
+ break;
if (row == 0)
- // All rows are equalities.
- return;
+ // All rows are equalities.
+ return;
}
while (row > 0) {
--row;
const Coefficient& modulus = cgs[row].modulus();
if (modulus > 0)
- lcm_assign(lcm, lcm, modulus);
+ lcm_assign(lcm, lcm, modulus);
}
// Represent every row using the LCM as the modulus.
@@ -200,7 +200,7 @@ PPL::Congruence_System::normalize_moduli() {
for (row = num_rows(); row-- > 0; ) {
const Coefficient& modulus = cgs[row].modulus();
if (modulus <= 0 || modulus == lcm)
- continue;
+ continue;
exact_div_assign(factor, lcm, modulus);
rows[row].scale(factor);
}
@@ -263,7 +263,7 @@ satisfies_all_congruences(const Grid_Generator& g) const {
const Congruence& cg = cgs[i];
Scalar_Products::assign(sp, g, cg);
if (sp != 0)
- return false;
+ return false;
}
else {
const Coefficient& divisor = g.divisor();
@@ -271,11 +271,11 @@ satisfies_all_congruences(const Grid_Generator& g) const {
const Congruence& cg = cgs[i];
Scalar_Products::assign(sp, g, cg);
if (cg.is_equality()) {
- if (sp != 0)
- return false;
+ if (sp != 0)
+ return false;
}
else if (sp % (cg.modulus() * divisor) != 0)
- return false;
+ return false;
}
}
return true;
@@ -300,8 +300,8 @@ PPL::Congruence_System::has_a_free_dimension() const {
void
PPL::Congruence_System::
affine_preimage(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
PPL_ASSERT(v.space_dimension() <= space_dimension());
PPL_ASSERT(expr.space_dimension() <= space_dimension());
PPL_ASSERT(denominator > 0);
@@ -313,8 +313,8 @@ affine_preimage(Variable v,
void
PPL::Congruence_System::ascii_dump(std::ostream& s) const {
const Congruence_System& x = *this;
- dimension_type x_num_rows = x.num_rows();
- dimension_type x_space_dim = x.space_dimension();
+ const dimension_type x_num_rows = x.num_rows();
+ const dimension_type x_space_dim = x.space_dimension();
s << x_num_rows << " x " << x_space_dim << " ";
Parma_Polyhedra_Library::ascii_dump(s, representation());
s << std::endl;
@@ -418,8 +418,9 @@ PPL::operator==(const Congruence_System& x, const Congruence_System& y) {
}
void
-PPL::Congruence_System::add_unit_rows_and_space_dimensions(dimension_type dims) {
- dimension_type old_num_rows = num_rows();
+PPL::Congruence_System
+::add_unit_rows_and_space_dimensions(dimension_type dims) {
+ const dimension_type old_num_rows = num_rows();
set_space_dimension(space_dimension() + dims);
rows.resize(rows.size() + dims);
@@ -448,11 +449,11 @@ PPL::Congruence_System::concatenate(const Congruence_System& y) {
// TODO: this implementation is just an executable specification.
Congruence_System cgs = y;
- dimension_type added_rows = cgs.num_rows();
- dimension_type added_columns = cgs.space_dimension();
+ const dimension_type added_rows = cgs.num_rows();
+ const dimension_type added_columns = cgs.space_dimension();
- dimension_type old_num_rows = num_rows();
- dimension_type old_space_dim = space_dimension();
+ const dimension_type old_num_rows = num_rows();
+ const dimension_type old_space_dim = space_dimension();
set_space_dimension(space_dimension() + added_columns);
diff --git a/src/Congruence_System.defs.hh b/src/Congruence_System.defs.hh
deleted file mode 100644
index caa7dac..0000000
--- a/src/Congruence_System.defs.hh
+++ /dev/null
@@ -1,544 +0,0 @@
-/* Congruence_System class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Congruence_System_defs_hh
-#define PPL_Congruence_System_defs_hh 1
-
-#include "Congruence_System.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint.types.hh"
-#include "Congruence.types.hh"
-#include "Grid_Generator.types.hh"
-#include "Swapping_Vector.defs.hh"
-#include "Congruence.defs.hh"
-#include "Constraint_System.types.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-/*! \relates Congruence_System */
-bool
-operator==(const Congruence_System& x, const Congruence_System& y);
-
-}
-
-//! A system of congruences.
-/*! \ingroup PPL_CXX_interface
- An object of the class Congruence_System is a system of congruences,
- i.e., a multiset of objects of the class Congruence.
- When inserting congruences in a system, space dimensions are
- automatically adjusted so that all the congruences in the system
- are defined on the same vector space.
-
- \par
- In all the examples it is assumed that variables
- <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code builds a system of congruences corresponding to
- an integer grid in \f$\Rset^2\f$:
- \code
- Congruence_System cgs;
- cgs.insert(x %= 0);
- cgs.insert(y %= 0);
- \endcode
- Note that:
- the congruence system is created with space dimension zero;
- the first and second congruence insertions increase the space
- dimension to \f$1\f$ and \f$2\f$, respectively.
-
- \par Example 2
- By adding to the congruence system of the previous example,
- the congruence \f$x + y = 1 \pmod{2}\f$:
- \code
- cgs.insert((x + y %= 1) / 2);
- \endcode
- we obtain the grid containing just those integral
- points where the sum of the \p x and \p y values is odd.
-
- \par Example 3
- The following code builds a system of congruences corresponding to
- the grid in \f$\Zset^2\f$ containing just the integral points on
- the \p x axis:
- \code
- Congruence_System cgs;
- cgs.insert(x %= 0);
- cgs.insert((y %= 0) / 0);
- \endcode
-
- \note
- After inserting a multiset of congruences in a congruence system,
- there are no guarantees that an <EM>exact</EM> copy of them
- can be retrieved:
- in general, only an <EM>equivalent</EM> congruence system
- will be available, where original congruences may have been
- reordered, removed (if they are trivial, duplicate or
- implied by other congruences), linearly combined, etc.
-*/
-class Parma_Polyhedra_Library::Congruence_System {
-public:
-
- typedef Congruence row_type;
-
- static const Representation default_representation = SPARSE;
-
- //! Default constructor: builds an empty system of congruences.
- explicit Congruence_System(Representation r = default_representation);
-
- //! Builds an empty (i.e. zero rows) system of dimension \p d.
- explicit Congruence_System(dimension_type d,
- Representation r = default_representation);
-
- //! Builds the singleton system containing only congruence \p cg.
- explicit Congruence_System(const Congruence& cg,
- Representation r = default_representation);
-
- /*! \brief
- If \p c represents the constraint \f$ e_1 = e_2 \f$, builds the
- singleton system containing only constraint \f$ e_1 = e_2
- \pmod{0}\f$.
-
- \exception std::invalid_argument
- Thrown if \p c is not an equality constraint.
- */
- explicit Congruence_System(const Constraint& c,
- Representation r = default_representation);
-
- //! Builds a system containing copies of any equalities in \p cs.
- explicit Congruence_System(const Constraint_System& cs,
- Representation r = default_representation);
-
- //! Ordinary copy constructor.
- /*!
- \note
- The new Congruence_System will have the same Representation as `cgs'
- so that it's indistinguishable from `cgs'.
- */
- Congruence_System(const Congruence_System& cgs);
-
- //! Copy constructor with specified representation.
- Congruence_System(const Congruence_System& cgs, Representation r);
-
- //! Destructor.
- ~Congruence_System();
-
- //! Assignment operator.
- Congruence_System& operator=(const Congruence_System& y);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Congruence_System can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is exactly equal
- to \p y.
- */
- bool is_equal_to(const Congruence_System& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this contains one or
- more linear equalities.
- */
- bool has_linear_equalities() const;
-
- //! Removes all the congruences and sets the space dimension to 0.
- void clear();
-
- /*! \brief
- Inserts in \p *this a copy of the congruence \p cg, increasing the
- number of space dimensions if needed.
-
- The copy of \p cg will be strongly normalized after being
- inserted.
- */
- void insert(const Congruence& cg);
-
- /*! \brief
- Inserts in \p *this the congruence \p cg, stealing its contents and
- increasing the number of space dimensions if needed.
-
- \p cg will be strongly normalized.
- */
- void insert(Congruence& cg, Recycle_Input);
-
- /*! \brief
- Inserts in \p *this a copy of the equality constraint \p c, seen
- as a modulo 0 congruence, increasing the number of space
- dimensions if needed.
-
- The modulo 0 congruence will be strongly normalized after being
- inserted.
-
- \exception std::invalid_argument
- Thrown if \p c is a relational constraint.
- */
- void insert(const Constraint& c);
-
- // TODO: Consider adding a insert(cg, Recycle_Input).
-
- /*! \brief
- Inserts in \p *this a copy of the congruences in \p y,
- increasing the number of space dimensions if needed.
-
- The inserted copies will be strongly normalized.
- */
- void insert(const Congruence_System& y);
-
- /*! \brief
- Inserts into \p *this the congruences in \p cgs, increasing the
- number of space dimensions if needed.
- */
- void insert(Congruence_System& cgs, Recycle_Input);
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- //! Returns the system containing only Congruence::zero_dim_false().
- static const Congruence_System& zero_dim_empty();
-
- //! An iterator over a system of congruences.
- /*! \ingroup PPL_CXX_interface
- A const_iterator is used to provide read-only access
- to each congruence contained in an object of Congruence_System.
-
- \par Example
- The following code prints the system of congruences
- defining the grid <CODE>gr</CODE>:
- \code
- const Congruence_System& cgs = gr.congruences();
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
- cout << *i << endl;
- \endcode
- */
- class const_iterator
- : public std::iterator<std::forward_iterator_tag,
- Congruence,
- ptrdiff_t,
- const Congruence*,
- const Congruence&> {
- public:
- //! Default constructor.
- const_iterator();
-
- //! Ordinary copy constructor.
- const_iterator(const const_iterator& y);
-
- //! Destructor.
- ~const_iterator();
-
- //! Assignment operator.
- const_iterator& operator=(const const_iterator& y);
-
- //! Dereference operator.
- const Congruence& operator*() const;
-
- //! Indirect member selector.
- const Congruence* operator->() const;
-
- //! Prefix increment operator.
- const_iterator& operator++();
-
- //! Postfix increment operator.
- const_iterator operator++(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- identical.
- */
- bool operator==(const const_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- different.
- */
- bool operator!=(const const_iterator& y) const;
-
- private:
- friend class Congruence_System;
-
- //! The const iterator over the vector of congruences.
- Swapping_Vector<Congruence>::const_iterator i;
-
- //! A const pointer to the vector of congruences.
- const Swapping_Vector<Congruence>* csp;
-
- //! Constructor.
- const_iterator(const Swapping_Vector<Congruence>::const_iterator& iter,
- const Congruence_System& cgs);
-
- //! \p *this skips to the next non-trivial congruence.
- void skip_forward();
- };
-
- //! Returns <CODE>true</CODE> if and only if \p *this has no congruences.
- bool empty() const;
-
- /*! \brief
- Returns the const_iterator pointing to the first congruence, if \p
- *this is not empty; otherwise, returns the past-the-end
- const_iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const_iterator.
- const_iterator end() const;
-
- //! Checks if all the invariants are satisfied.
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*!
- Returns <CODE>true</CODE> if and only if all rows have space dimension
- space_dimension_, each row in the system is a valid Congruence and the
- space dimension is consistent with the number of congruences.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Returns the number of equalities.
- dimension_type num_equalities() const;
-
- //! Returns the number of proper congruences.
- dimension_type num_proper_congruences() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Congruence_System& y);
-
- /*! \brief
- Adds \p dims rows and \p dims space dimensions to the matrix,
- initializing the added rows as in the unit congruence system.
-
- \param dims
- The number of rows and space dimensions to be added: must be strictly
- positive.
-
- Turns the \f$r \times c\f$ matrix \f$A\f$ into the \f$(r+dims) \times
- (c+dims)\f$ matrix
- \f$\bigl(\genfrac{}{}{0pt}{}{0}{A} \genfrac{}{}{0pt}{}{B}{A}\bigr)\f$
- where \f$B\f$ is the \f$dims \times dims\f$ unit matrix of the form
- \f$\bigl(\genfrac{}{}{0pt}{}{0}{1} \genfrac{}{}{0pt}{}{1}{0}\bigr)\f$.
- The matrix is expanded avoiding reallocation whenever possible.
- */
- void add_unit_rows_and_space_dimensions(dimension_type dims);
-
- //! Permutes the space dimensions of the system.
- /*!
- \param cycle
- A vector representing a cycle of the permutation according to which the
- columns must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Swaps the columns having indexes \p i and \p j.
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Sets the number of space dimensions to \p new_space_dim.
- /*!
- If \p new_space_dim is lower than the current space dimension, the
- coefficients referring to the removed space dimensions are lost.
- */
- bool set_space_dimension(dimension_type new_space_dim);
-
- // Note: the following method is protected to allow tests/Grid/congruences2
- // to call it using a derived class.
-protected:
- //! Returns <CODE>true</CODE> if \p g satisfies all the congruences.
- bool satisfies_all_congruences(const Grid_Generator& g) const;
-
-private:
- //! Returns the number of rows in the system.
- dimension_type num_rows() const;
-
- //! Returns \c true if num_rows()==0.
- bool has_no_rows() const;
-
- //! Returns a constant reference to the \p k- th congruence of the system.
- const Congruence& operator[](dimension_type k) const;
-
- //! Adjusts all expressions to have the same moduli.
- void normalize_moduli();
-
- /*! \brief
- Substitutes a given column of coefficients by a given affine
- expression.
-
- \param v
- Index of the column to which the affine transformation is
- substituted;
-
- \param expr
- The numerator of the affine transformation:
- \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
-
- \param denominator
- The denominator of the affine transformation.
-
- We allow affine transformations (see the Section \ref
- rational_grid_operations) to have rational
- coefficients. Since the coefficients of linear expressions are
- integers we also provide an integer \p denominator that will
- be used as denominator of the affine transformation. The
- denominator is required to be a positive integer and its default value
- is 1.
-
- The affine transformation substitutes the matrix of congruences
- by a new matrix whose elements \f${a'}_{ij}\f$ are built from
- the old one \f$a_{ij}\f$ as follows:
- \f[
- {a'}_{ij} =
- \begin{cases}
- a_{ij} * \mathrm{denominator} + a_{iv} * \mathrm{expr}[j]
- \quad \text{for } j \neq v; \\
- \mathrm{expr}[v] * a_{iv}
- \quad \text{for } j = v.
- \end{cases}
- \f]
-
- \p expr is a constant parameter and unaltered by this computation.
- */
- void affine_preimage(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator);
-
- // TODO: Consider making this private.
- /*! \brief
- Concatenates copies of the congruences from \p y onto \p *this.
-
- \param y
- The congruence system to append to \p this. The number of rows in
- \p y must be strictly positive.
-
- The matrix for the new system of congruences is obtained by
- leaving the old system in the upper left-hand side and placing the
- congruences of \p y in the lower right-hand side, and padding
- with zeroes.
- */
- void concatenate(const Congruence_System& y);
-
- /*! \brief
- Inserts in \p *this the congruence \p cg, stealing its contents and
- increasing the number of space dimensions if needed.
-
- This method inserts \p cg in the given form, instead of first strong
- normalizing \p cg as \ref insert would do.
- */
- void insert_verbatim(Congruence& cg, Recycle_Input);
-
- //! Makes the system shrink by removing the rows in [first,last).
- /*!
- If \p keep_sorted is <CODE>true</CODE>, the ordering of the remaining rows
- will be preserved.
- */
- void remove_rows(dimension_type first, dimension_type last,
- bool keep_sorted);
-
- void remove_trailing_rows(dimension_type n);
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the singleton system containing only Congruence::zero_dim_false().
- */
- static const Congruence_System* zero_dim_empty_p;
-
- Swapping_Vector<Congruence> rows;
-
- dimension_type space_dimension_;
-
- Representation representation_;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if any of the dimensions in
- \p *this is free of constraint.
-
- Any equality or proper congruence affecting a dimension constrains
- that dimension.
-
- This method assumes the system is in minimal form.
- */
- bool has_a_free_dimension() const;
-
- friend class Grid;
-
- friend bool
- operator==(const Congruence_System& x, const Congruence_System& y);
-};
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Congruence_System
- Writes <CODE>true</CODE> if \p cgs is empty. Otherwise, writes on
- \p s the congruences of \p cgs, all in one row and separated by ", ".
-*/
-std::ostream&
-operator<<(std::ostream& s, const Congruence_System& cgs);
-
-} // namespace IO_Operators
-
-/*! \relates Congruence_System */
-void
-swap(Congruence_System& x, Congruence_System& y);
-
-} // namespace Parma_Polyhedra_Library
-
-// Congruence_System.inlines.hh is not included here on purpose.
-
-#endif // !defined(PPL_Congruence_System_defs_hh)
diff --git a/src/Congruence_System.inlines.hh b/src/Congruence_System.inlines.hh
deleted file mode 100644
index 8d1432d..0000000
--- a/src/Congruence_System.inlines.hh
+++ /dev/null
@@ -1,272 +0,0 @@
-/* Congruence_System class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Congruence_System_inlines_hh
-#define PPL_Congruence_System_inlines_hh 1
-
-#include "Congruence.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline const Congruence&
-Congruence_System::operator[](const dimension_type k) const {
- return rows[k];
-}
-
-inline dimension_type
-Congruence_System::num_rows() const {
- return rows.size();
-}
-
-inline bool
-Congruence_System::has_no_rows() const {
- return num_rows() == 0;
-}
-
-inline void
-Congruence_System::remove_trailing_rows(dimension_type n) {
- PPL_ASSERT(num_rows() >= n);
- rows.resize(num_rows() - n);
-}
-
-inline void
-Congruence_System::insert(const Congruence& cg) {
- Congruence tmp = cg;
- insert(tmp, Recycle_Input());
-}
-
-inline void
-Congruence_System::insert(Congruence& cg, Recycle_Input) {
- PPL_ASSERT(cg.OK());
- cg.strong_normalize();
- PPL_ASSERT(cg.OK());
- insert_verbatim(cg, Recycle_Input());
- PPL_ASSERT(OK());
-}
-
-inline
-Congruence_System::Congruence_System(Representation r)
- : rows(),
- space_dimension_(0),
- representation_(r) {
-}
-
-inline
-Congruence_System::Congruence_System(const Congruence& cg, Representation r)
- : rows(),
- space_dimension_(0),
- representation_(r) {
- insert(cg);
-}
-
-inline
-Congruence_System::Congruence_System(const Constraint& c, Representation r)
- : rows(),
- space_dimension_(0),
- representation_(r) {
- insert(c);
-}
-
-inline
-Congruence_System::Congruence_System(const Congruence_System& cgs)
- : rows(cgs.rows),
- space_dimension_(cgs.space_dimension_),
- representation_(cgs.representation_) {
-}
-
-inline
-Congruence_System::Congruence_System(const Congruence_System& cgs,
- Representation r)
- : rows(cgs.rows),
- space_dimension_(cgs.space_dimension_),
- representation_(r) {
- if (cgs.representation() != r) {
- for (dimension_type i = 0; i < num_rows(); ++i)
- rows[i].set_representation(representation());
- }
-}
-
-inline
-Congruence_System::Congruence_System(const dimension_type d, Representation r)
- : rows(),
- space_dimension_(d),
- representation_(r) {
-}
-
-inline
-Congruence_System::~Congruence_System() {
-}
-
-inline Congruence_System&
-Congruence_System::operator=(const Congruence_System& y) {
- Congruence_System tmp = y;
- swap(*this, tmp);
- return *this;
-}
-
-inline Representation
-Congruence_System::representation() const {
- return representation_;
-}
-
-inline void
-Congruence_System::set_representation(Representation r) {
- if (representation_ == r)
- return;
- representation_ = r;
- for (dimension_type i = 0; i < num_rows(); ++i)
- rows[i].set_representation(r);
- PPL_ASSERT(OK());
-}
-
-inline dimension_type
-Congruence_System::max_space_dimension() {
- return Congruence::max_space_dimension();
-}
-
-inline dimension_type
-Congruence_System::space_dimension() const {
- return space_dimension_;
-}
-
-inline void
-Congruence_System::clear() {
- rows.clear();
- space_dimension_ = 0;
-}
-
-inline const Congruence_System&
-Congruence_System::zero_dim_empty() {
- PPL_ASSERT(zero_dim_empty_p != 0);
- return *zero_dim_empty_p;
-}
-
-inline
-Congruence_System::const_iterator::const_iterator()
- : i(), csp(0) {
-}
-
-inline
-Congruence_System::const_iterator::const_iterator(const const_iterator& y)
- : i(y.i), csp(y.csp) {
-}
-
-inline
-Congruence_System::const_iterator::~const_iterator() {
-}
-
-inline Congruence_System::const_iterator&
-Congruence_System::const_iterator::operator=(const const_iterator& y) {
- i = y.i;
- csp = y.csp;
- return *this;
-}
-
-inline const Congruence&
-Congruence_System::const_iterator::operator*() const {
- return *i;
-}
-
-inline const Congruence*
-Congruence_System::const_iterator::operator->() const {
- return i.operator->();
-}
-
-inline Congruence_System::const_iterator&
-Congruence_System::const_iterator::operator++() {
- ++i;
- skip_forward();
- return *this;
-}
-
-inline Congruence_System::const_iterator
-Congruence_System::const_iterator::operator++(int) {
- const const_iterator tmp = *this;
- operator++();
- return tmp;
-}
-
-inline bool
-Congruence_System::const_iterator::operator==(const const_iterator& y) const {
- return i == y.i;
-}
-
-inline bool
-Congruence_System::const_iterator::operator!=(const const_iterator& y) const {
- return i != y.i;
-}
-
-inline
-Congruence_System::const_iterator::
-const_iterator(const Swapping_Vector<Congruence>::const_iterator& iter,
- const Congruence_System& cgs)
- : i(iter), csp(&cgs.rows) {
-}
-
-inline Congruence_System::const_iterator
-Congruence_System::begin() const {
- const_iterator i(rows.begin(), *this);
- i.skip_forward();
- return i;
-}
-
-inline Congruence_System::const_iterator
-Congruence_System::end() const {
- const const_iterator i(rows.end(), *this);
- return i;
-}
-
-inline bool
-Congruence_System::empty() const {
- return begin() == end();
-}
-
-inline void
-Congruence_System::m_swap(Congruence_System& y) {
- using std::swap;
- swap(rows, y.rows);
- swap(space_dimension_, y.space_dimension_);
- swap(representation_, y.representation_);
- PPL_ASSERT(OK());
- PPL_ASSERT(y.OK());
-}
-
-inline memory_size_type
-Congruence_System::external_memory_in_bytes() const {
- return rows.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Congruence_System::total_memory_in_bytes() const {
- return rows.external_memory_in_bytes() + sizeof(*this);
-}
-
-/*! \relates Congruence_System */
-inline void
-swap(Congruence_System& x, Congruence_System& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Congruence_System_inlines_hh)
diff --git a/src/Congruence_System.types.hh b/src/Congruence_System.types.hh
deleted file mode 100644
index e2526f9..0000000
--- a/src/Congruence_System.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Congruence_System_types_hh
-#define PPL_Congruence_System_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Congruence_System;
-
-}
-
-#endif // !defined(PPL_Congruence_System_types_hh)
diff --git a/src/Congruence_System_defs.hh b/src/Congruence_System_defs.hh
new file mode 100644
index 0000000..18296dc
--- /dev/null
+++ b/src/Congruence_System_defs.hh
@@ -0,0 +1,544 @@
+/* Congruence_System class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Congruence_System_defs_hh
+#define PPL_Congruence_System_defs_hh 1
+
+#include "Congruence_System_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_types.hh"
+#include "Congruence_types.hh"
+#include "Grid_Generator_types.hh"
+#include "Swapping_Vector_defs.hh"
+#include "Congruence_defs.hh"
+#include "Constraint_System_types.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+/*! \relates Congruence_System */
+bool
+operator==(const Congruence_System& x, const Congruence_System& y);
+
+}
+
+//! A system of congruences.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Congruence_System is a system of congruences,
+ i.e., a multiset of objects of the class Congruence.
+ When inserting congruences in a system, space dimensions are
+ automatically adjusted so that all the congruences in the system
+ are defined on the same vector space.
+
+ \par
+ In all the examples it is assumed that variables
+ <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code builds a system of congruences corresponding to
+ an integer grid in \f$\Rset^2\f$:
+ \code
+ Congruence_System cgs;
+ cgs.insert(x %= 0);
+ cgs.insert(y %= 0);
+ \endcode
+ Note that:
+ the congruence system is created with space dimension zero;
+ the first and second congruence insertions increase the space
+ dimension to \f$1\f$ and \f$2\f$, respectively.
+
+ \par Example 2
+ By adding to the congruence system of the previous example,
+ the congruence \f$x + y = 1 \pmod{2}\f$:
+ \code
+ cgs.insert((x + y %= 1) / 2);
+ \endcode
+ we obtain the grid containing just those integral
+ points where the sum of the \p x and \p y values is odd.
+
+ \par Example 3
+ The following code builds a system of congruences corresponding to
+ the grid in \f$\Zset^2\f$ containing just the integral points on
+ the \p x axis:
+ \code
+ Congruence_System cgs;
+ cgs.insert(x %= 0);
+ cgs.insert((y %= 0) / 0);
+ \endcode
+
+ \note
+ After inserting a multiset of congruences in a congruence system,
+ there are no guarantees that an <EM>exact</EM> copy of them
+ can be retrieved:
+ in general, only an <EM>equivalent</EM> congruence system
+ will be available, where original congruences may have been
+ reordered, removed (if they are trivial, duplicate or
+ implied by other congruences), linearly combined, etc.
+*/
+class Parma_Polyhedra_Library::Congruence_System {
+public:
+
+ typedef Congruence row_type;
+
+ static const Representation default_representation = SPARSE;
+
+ //! Default constructor: builds an empty system of congruences.
+ explicit Congruence_System(Representation r = default_representation);
+
+ //! Builds an empty (i.e. zero rows) system of dimension \p d.
+ explicit Congruence_System(dimension_type d,
+ Representation r = default_representation);
+
+ //! Builds the singleton system containing only congruence \p cg.
+ explicit Congruence_System(const Congruence& cg,
+ Representation r = default_representation);
+
+ /*! \brief
+ If \p c represents the constraint \f$ e_1 = e_2 \f$, builds the
+ singleton system containing only constraint \f$ e_1 = e_2
+ \pmod{0}\f$.
+
+ \exception std::invalid_argument
+ Thrown if \p c is not an equality constraint.
+ */
+ explicit Congruence_System(const Constraint& c,
+ Representation r = default_representation);
+
+ //! Builds a system containing copies of any equalities in \p cs.
+ explicit Congruence_System(const Constraint_System& cs,
+ Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ /*!
+ \note
+ The new Congruence_System will have the same Representation as `cgs'
+ so that it's indistinguishable from `cgs'.
+ */
+ Congruence_System(const Congruence_System& cgs);
+
+ //! Copy constructor with specified representation.
+ Congruence_System(const Congruence_System& cgs, Representation r);
+
+ //! Destructor.
+ ~Congruence_System();
+
+ //! Assignment operator.
+ Congruence_System& operator=(const Congruence_System& y);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Congruence_System can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is exactly equal
+ to \p y.
+ */
+ bool is_equal_to(const Congruence_System& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this contains one or
+ more linear equalities.
+ */
+ bool has_linear_equalities() const;
+
+ //! Removes all the congruences and sets the space dimension to 0.
+ void clear();
+
+ /*! \brief
+ Inserts in \p *this a copy of the congruence \p cg, increasing the
+ number of space dimensions if needed.
+
+ The copy of \p cg will be strongly normalized after being
+ inserted.
+ */
+ void insert(const Congruence& cg);
+
+ /*! \brief
+ Inserts in \p *this the congruence \p cg, stealing its contents and
+ increasing the number of space dimensions if needed.
+
+ \p cg will be strongly normalized.
+ */
+ void insert(Congruence& cg, Recycle_Input);
+
+ /*! \brief
+ Inserts in \p *this a copy of the equality constraint \p c, seen
+ as a modulo 0 congruence, increasing the number of space
+ dimensions if needed.
+
+ The modulo 0 congruence will be strongly normalized after being
+ inserted.
+
+ \exception std::invalid_argument
+ Thrown if \p c is a relational constraint.
+ */
+ void insert(const Constraint& c);
+
+ // TODO: Consider adding a insert(cg, Recycle_Input).
+
+ /*! \brief
+ Inserts in \p *this a copy of the congruences in \p y,
+ increasing the number of space dimensions if needed.
+
+ The inserted copies will be strongly normalized.
+ */
+ void insert(const Congruence_System& y);
+
+ /*! \brief
+ Inserts into \p *this the congruences in \p cgs, increasing the
+ number of space dimensions if needed.
+ */
+ void insert(Congruence_System& cgs, Recycle_Input);
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ //! Returns the system containing only Congruence::zero_dim_false().
+ static const Congruence_System& zero_dim_empty();
+
+ //! An iterator over a system of congruences.
+ /*! \ingroup PPL_CXX_interface
+ A const_iterator is used to provide read-only access
+ to each congruence contained in an object of Congruence_System.
+
+ \par Example
+ The following code prints the system of congruences
+ defining the grid <CODE>gr</CODE>:
+ \code
+ const Congruence_System& cgs = gr.congruences();
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); i != cgs_end; ++i)
+ cout << *i << endl;
+ \endcode
+ */
+ class const_iterator
+ : public std::iterator<std::forward_iterator_tag,
+ Congruence,
+ ptrdiff_t,
+ const Congruence*,
+ const Congruence&> {
+ public:
+ //! Default constructor.
+ const_iterator();
+
+ //! Ordinary copy constructor.
+ const_iterator(const const_iterator& y);
+
+ //! Destructor.
+ ~const_iterator();
+
+ //! Assignment operator.
+ const_iterator& operator=(const const_iterator& y);
+
+ //! Dereference operator.
+ const Congruence& operator*() const;
+
+ //! Indirect member selector.
+ const Congruence* operator->() const;
+
+ //! Prefix increment operator.
+ const_iterator& operator++();
+
+ //! Postfix increment operator.
+ const_iterator operator++(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ identical.
+ */
+ bool operator==(const const_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ different.
+ */
+ bool operator!=(const const_iterator& y) const;
+
+ private:
+ friend class Congruence_System;
+
+ //! The const iterator over the vector of congruences.
+ Swapping_Vector<Congruence>::const_iterator i;
+
+ //! A const pointer to the vector of congruences.
+ const Swapping_Vector<Congruence>* csp;
+
+ //! Constructor.
+ const_iterator(const Swapping_Vector<Congruence>::const_iterator& iter,
+ const Congruence_System& cgs);
+
+ //! \p *this skips to the next non-trivial congruence.
+ void skip_forward();
+ };
+
+ //! Returns <CODE>true</CODE> if and only if \p *this has no congruences.
+ bool empty() const;
+
+ /*! \brief
+ Returns the const_iterator pointing to the first congruence, if \p
+ *this is not empty; otherwise, returns the past-the-end
+ const_iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const_iterator.
+ const_iterator end() const;
+
+ //! Checks if all the invariants are satisfied.
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*!
+ Returns <CODE>true</CODE> if and only if all rows have space dimension
+ space_dimension_, each row in the system is a valid Congruence and the
+ space dimension is consistent with the number of congruences.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Returns the number of equalities.
+ dimension_type num_equalities() const;
+
+ //! Returns the number of proper congruences.
+ dimension_type num_proper_congruences() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Congruence_System& y);
+
+ /*! \brief
+ Adds \p dims rows and \p dims space dimensions to the matrix,
+ initializing the added rows as in the unit congruence system.
+
+ \param dims
+ The number of rows and space dimensions to be added: must be strictly
+ positive.
+
+ Turns the \f$r \times c\f$ matrix \f$A\f$ into the \f$(r+dims) \times
+ (c+dims)\f$ matrix
+ \f$\bigl(\genfrac{}{}{0pt}{}{0}{A} \genfrac{}{}{0pt}{}{B}{A}\bigr)\f$
+ where \f$B\f$ is the \f$dims \times dims\f$ unit matrix of the form
+ \f$\bigl(\genfrac{}{}{0pt}{}{0}{1} \genfrac{}{}{0pt}{}{1}{0}\bigr)\f$.
+ The matrix is expanded avoiding reallocation whenever possible.
+ */
+ void add_unit_rows_and_space_dimensions(dimension_type dims);
+
+ //! Permutes the space dimensions of the system.
+ /*!
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ columns must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Swaps the columns having indexes \p i and \p j.
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Sets the number of space dimensions to \p new_space_dim.
+ /*!
+ If \p new_space_dim is lower than the current space dimension, the
+ coefficients referring to the removed space dimensions are lost.
+ */
+ bool set_space_dimension(dimension_type new_space_dim);
+
+ // Note: the following method is protected to allow tests/Grid/congruences2
+ // to call it using a derived class.
+protected:
+ //! Returns <CODE>true</CODE> if \p g satisfies all the congruences.
+ bool satisfies_all_congruences(const Grid_Generator& g) const;
+
+private:
+ //! Returns the number of rows in the system.
+ dimension_type num_rows() const;
+
+ //! Returns \c true if num_rows()==0.
+ bool has_no_rows() const;
+
+ //! Returns a constant reference to the \p k- th congruence of the system.
+ const Congruence& operator[](dimension_type k) const;
+
+ //! Adjusts all expressions to have the same moduli.
+ void normalize_moduli();
+
+ /*! \brief
+ Substitutes a given column of coefficients by a given affine
+ expression.
+
+ \param v
+ Index of the column to which the affine transformation is
+ substituted;
+
+ \param expr
+ The numerator of the affine transformation:
+ \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
+
+ \param denominator
+ The denominator of the affine transformation.
+
+ We allow affine transformations (see the Section \ref
+ rational_grid_operations) to have rational
+ coefficients. Since the coefficients of linear expressions are
+ integers we also provide an integer \p denominator that will
+ be used as denominator of the affine transformation. The
+ denominator is required to be a positive integer and its default value
+ is 1.
+
+ The affine transformation substitutes the matrix of congruences
+ by a new matrix whose elements \f${a'}_{ij}\f$ are built from
+ the old one \f$a_{ij}\f$ as follows:
+ \f[
+ {a'}_{ij} =
+ \begin{cases}
+ a_{ij} * \mathrm{denominator} + a_{iv} * \mathrm{expr}[j]
+ \quad \text{for } j \neq v; \\
+ \mathrm{expr}[v] * a_{iv}
+ \quad \text{for } j = v.
+ \end{cases}
+ \f]
+
+ \p expr is a constant parameter and unaltered by this computation.
+ */
+ void affine_preimage(Variable v,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator);
+
+ // TODO: Consider making this private.
+ /*! \brief
+ Concatenates copies of the congruences from \p y onto \p *this.
+
+ \param y
+ The congruence system to append to \p this. The number of rows in
+ \p y must be strictly positive.
+
+ The matrix for the new system of congruences is obtained by
+ leaving the old system in the upper left-hand side and placing the
+ congruences of \p y in the lower right-hand side, and padding
+ with zeroes.
+ */
+ void concatenate(const Congruence_System& y);
+
+ /*! \brief
+ Inserts in \p *this the congruence \p cg, stealing its contents and
+ increasing the number of space dimensions if needed.
+
+ This method inserts \p cg in the given form, instead of first strong
+ normalizing \p cg as \ref insert would do.
+ */
+ void insert_verbatim(Congruence& cg, Recycle_Input);
+
+ //! Makes the system shrink by removing the rows in [first,last).
+ /*!
+ If \p keep_sorted is <CODE>true</CODE>, the ordering of the remaining rows
+ will be preserved.
+ */
+ void remove_rows(dimension_type first, dimension_type last,
+ bool keep_sorted);
+
+ void remove_trailing_rows(dimension_type n);
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the singleton system containing only Congruence::zero_dim_false().
+ */
+ static const Congruence_System* zero_dim_empty_p;
+
+ Swapping_Vector<Congruence> rows;
+
+ dimension_type space_dimension_;
+
+ Representation representation_;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if any of the dimensions in
+ \p *this is free of constraint.
+
+ Any equality or proper congruence affecting a dimension constrains
+ that dimension.
+
+ This method assumes the system is in minimal form.
+ */
+ bool has_a_free_dimension() const;
+
+ friend class Grid;
+
+ friend bool
+ operator==(const Congruence_System& x, const Congruence_System& y);
+};
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Congruence_System
+ Writes <CODE>true</CODE> if \p cgs is empty. Otherwise, writes on
+ \p s the congruences of \p cgs, all in one row and separated by ", ".
+*/
+std::ostream&
+operator<<(std::ostream& s, const Congruence_System& cgs);
+
+} // namespace IO_Operators
+
+/*! \relates Congruence_System */
+void
+swap(Congruence_System& x, Congruence_System& y);
+
+} // namespace Parma_Polyhedra_Library
+
+// Congruence_System_inlines.hh is not included here on purpose.
+
+#endif // !defined(PPL_Congruence_System_defs_hh)
diff --git a/src/Congruence_System_inlines.hh b/src/Congruence_System_inlines.hh
new file mode 100644
index 0000000..c63fb1f
--- /dev/null
+++ b/src/Congruence_System_inlines.hh
@@ -0,0 +1,272 @@
+/* Congruence_System class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Congruence_System_inlines_hh
+#define PPL_Congruence_System_inlines_hh 1
+
+#include "Congruence_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline const Congruence&
+Congruence_System::operator[](const dimension_type k) const {
+ return rows[k];
+}
+
+inline dimension_type
+Congruence_System::num_rows() const {
+ return rows.size();
+}
+
+inline bool
+Congruence_System::has_no_rows() const {
+ return num_rows() == 0;
+}
+
+inline void
+Congruence_System::remove_trailing_rows(dimension_type n) {
+ PPL_ASSERT(num_rows() >= n);
+ rows.resize(num_rows() - n);
+}
+
+inline void
+Congruence_System::insert(const Congruence& cg) {
+ Congruence tmp = cg;
+ insert(tmp, Recycle_Input());
+}
+
+inline void
+Congruence_System::insert(Congruence& cg, Recycle_Input) {
+ PPL_ASSERT(cg.OK());
+ cg.strong_normalize();
+ PPL_ASSERT(cg.OK());
+ insert_verbatim(cg, Recycle_Input());
+ PPL_ASSERT(OK());
+}
+
+inline
+Congruence_System::Congruence_System(Representation r)
+ : rows(),
+ space_dimension_(0),
+ representation_(r) {
+}
+
+inline
+Congruence_System::Congruence_System(const Congruence& cg, Representation r)
+ : rows(),
+ space_dimension_(0),
+ representation_(r) {
+ insert(cg);
+}
+
+inline
+Congruence_System::Congruence_System(const Constraint& c, Representation r)
+ : rows(),
+ space_dimension_(0),
+ representation_(r) {
+ insert(c);
+}
+
+inline
+Congruence_System::Congruence_System(const Congruence_System& cgs)
+ : rows(cgs.rows),
+ space_dimension_(cgs.space_dimension_),
+ representation_(cgs.representation_) {
+}
+
+inline
+Congruence_System::Congruence_System(const Congruence_System& cgs,
+ Representation r)
+ : rows(cgs.rows),
+ space_dimension_(cgs.space_dimension_),
+ representation_(r) {
+ if (cgs.representation() != r) {
+ for (dimension_type i = 0; i < num_rows(); ++i)
+ rows[i].set_representation(representation());
+ }
+}
+
+inline
+Congruence_System::Congruence_System(const dimension_type d, Representation r)
+ : rows(),
+ space_dimension_(d),
+ representation_(r) {
+}
+
+inline
+Congruence_System::~Congruence_System() {
+}
+
+inline Congruence_System&
+Congruence_System::operator=(const Congruence_System& y) {
+ Congruence_System tmp = y;
+ swap(*this, tmp);
+ return *this;
+}
+
+inline Representation
+Congruence_System::representation() const {
+ return representation_;
+}
+
+inline void
+Congruence_System::set_representation(Representation r) {
+ if (representation_ == r)
+ return;
+ representation_ = r;
+ for (dimension_type i = 0; i < num_rows(); ++i)
+ rows[i].set_representation(r);
+ PPL_ASSERT(OK());
+}
+
+inline dimension_type
+Congruence_System::max_space_dimension() {
+ return Congruence::max_space_dimension();
+}
+
+inline dimension_type
+Congruence_System::space_dimension() const {
+ return space_dimension_;
+}
+
+inline void
+Congruence_System::clear() {
+ rows.clear();
+ space_dimension_ = 0;
+}
+
+inline const Congruence_System&
+Congruence_System::zero_dim_empty() {
+ PPL_ASSERT(zero_dim_empty_p != 0);
+ return *zero_dim_empty_p;
+}
+
+inline
+Congruence_System::const_iterator::const_iterator()
+ : i(), csp(0) {
+}
+
+inline
+Congruence_System::const_iterator::const_iterator(const const_iterator& y)
+ : i(y.i), csp(y.csp) {
+}
+
+inline
+Congruence_System::const_iterator::~const_iterator() {
+}
+
+inline Congruence_System::const_iterator&
+Congruence_System::const_iterator::operator=(const const_iterator& y) {
+ i = y.i;
+ csp = y.csp;
+ return *this;
+}
+
+inline const Congruence&
+Congruence_System::const_iterator::operator*() const {
+ return *i;
+}
+
+inline const Congruence*
+Congruence_System::const_iterator::operator->() const {
+ return i.operator->();
+}
+
+inline Congruence_System::const_iterator&
+Congruence_System::const_iterator::operator++() {
+ ++i;
+ skip_forward();
+ return *this;
+}
+
+inline Congruence_System::const_iterator
+Congruence_System::const_iterator::operator++(int) {
+ const const_iterator tmp = *this;
+ operator++();
+ return tmp;
+}
+
+inline bool
+Congruence_System::const_iterator::operator==(const const_iterator& y) const {
+ return i == y.i;
+}
+
+inline bool
+Congruence_System::const_iterator::operator!=(const const_iterator& y) const {
+ return i != y.i;
+}
+
+inline
+Congruence_System::const_iterator::
+const_iterator(const Swapping_Vector<Congruence>::const_iterator& iter,
+ const Congruence_System& cgs)
+ : i(iter), csp(&cgs.rows) {
+}
+
+inline Congruence_System::const_iterator
+Congruence_System::begin() const {
+ const_iterator i(rows.begin(), *this);
+ i.skip_forward();
+ return i;
+}
+
+inline Congruence_System::const_iterator
+Congruence_System::end() const {
+ const const_iterator i(rows.end(), *this);
+ return i;
+}
+
+inline bool
+Congruence_System::empty() const {
+ return begin() == end();
+}
+
+inline void
+Congruence_System::m_swap(Congruence_System& y) {
+ using std::swap;
+ swap(rows, y.rows);
+ swap(space_dimension_, y.space_dimension_);
+ swap(representation_, y.representation_);
+ PPL_ASSERT(OK());
+ PPL_ASSERT(y.OK());
+}
+
+inline memory_size_type
+Congruence_System::external_memory_in_bytes() const {
+ return rows.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Congruence_System::total_memory_in_bytes() const {
+ return rows.external_memory_in_bytes() + sizeof(*this);
+}
+
+/*! \relates Congruence_System */
+inline void
+swap(Congruence_System& x, Congruence_System& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Congruence_System_inlines_hh)
diff --git a/src/Congruence_System_types.hh b/src/Congruence_System_types.hh
new file mode 100644
index 0000000..0e3e919
--- /dev/null
+++ b/src/Congruence_System_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Congruence_System_types_hh
+#define PPL_Congruence_System_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Congruence_System;
+
+}
+
+#endif // !defined(PPL_Congruence_System_types_hh)
diff --git a/src/Congruence_defs.hh b/src/Congruence_defs.hh
new file mode 100644
index 0000000..92e0045
--- /dev/null
+++ b/src/Congruence_defs.hh
@@ -0,0 +1,506 @@
+/* Congruence class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Congruence_defs_hh
+#define PPL_Congruence_defs_hh 1
+
+#include "Congruence_types.hh"
+
+#include "Coefficient_defs.hh"
+#include "Variable_defs.hh"
+
+#include "Constraint_types.hh"
+#include "Grid_types.hh"
+#include "Scalar_Products_types.hh"
+#include "Linear_Expression_defs.hh"
+#include "Expression_Adapter_defs.hh"
+
+#include <iosfwd>
+#include <vector>
+
+// These are declared here because they are friend of Congruence.
+namespace Parma_Polyhedra_Library {
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equivalent.
+/*! \relates Congruence */
+bool
+operator==(const Congruence& x, const Congruence& y);
+
+//! Returns <CODE>false</CODE> if and only if \p x and \p y are equivalent.
+/*! \relates Congruence */
+bool
+operator!=(const Congruence& x, const Congruence& y);
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! A linear congruence.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Congruence is a congruence:
+ - \f$\cg = \sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod m\f$
+
+ where \f$n\f$ is the dimension of the space,
+ \f$a_i\f$ is the integer coefficient of variable \f$x_i\f$,
+ \f$b\f$ is the integer inhomogeneous term and \f$m\f$ is the integer modulus;
+ if \f$m = 0\f$, then \f$\cg\f$ represents the equality congruence
+ \f$\sum_{i=0}^{n-1} a_i x_i + b = 0\f$
+ and, if \f$m \neq 0\f$, then the congruence \f$\cg\f$ is
+ said to be a proper congruence.
+
+ \par How to build a congruence
+ Congruences \f$\pmod{1}\f$ are typically built by
+ applying the congruence symbol `<CODE>\%=</CODE>'
+ to a pair of linear expressions.
+ Congruences with modulus \p m
+ are typically constructed by building a congruence \f$\pmod{1}\f$
+ using the given pair of linear expressions
+ and then adding the modulus \p m
+ using the modulus symbol is `<CODE>/</CODE>'.
+
+ The space dimension of a congruence is defined as the maximum
+ space dimension of the arguments of its constructor.
+
+ \par
+ In the following examples it is assumed that variables
+ <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
+ are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(2);
+ \endcode
+
+ \par Example 1
+ The following code builds the equality congruence
+ \f$3x + 5y - z = 0\f$, having space dimension \f$3\f$:
+ \code
+ Congruence eq_cg((3*x + 5*y - z %= 0) / 0);
+ \endcode
+ The following code builds the congruence
+ \f$4x = 2y - 13 \pmod{1}\f$, having space dimension \f$2\f$:
+ \code
+ Congruence mod1_cg(4*x %= 2*y - 13);
+ \endcode
+ The following code builds the congruence
+ \f$4x = 2y - 13 \pmod{2}\f$, having space dimension \f$2\f$:
+ \code
+ Congruence mod2_cg((4*x %= 2*y - 13) / 2);
+ \endcode
+ An unsatisfiable congruence on the zero-dimension space \f$\Rset^0\f$
+ can be specified as follows:
+ \code
+ Congruence false_cg = Congruence::zero_dim_false();
+ \endcode
+ Equivalent, but more involved ways are the following:
+ \code
+ Congruence false_cg1((Linear_Expression::zero() %= 1) / 0);
+ Congruence false_cg2((Linear_Expression::zero() %= 1) / 2);
+ \endcode
+ In contrast, the following code defines an unsatisfiable congruence
+ having space dimension \f$3\f$:
+ \code
+ Congruence false_cg3((0*z %= 1) / 0);
+ \endcode
+
+ \par How to inspect a congruence
+ Several methods are provided to examine a congruence and extract
+ all the encoded information: its space dimension, its modulus
+ and the value of its integer coefficients.
+
+ \par Example 2
+ The following code shows how it is possible to access the modulus
+ as well as each of the coefficients.
+ Given a congruence with linear expression \p e and modulus \p m
+ (in this case \f$x - 5y + 3z = 4 \pmod{5}\f$), we construct a new
+ congruence with the same modulus \p m but where the linear
+ expression is \f$2 e\f$ (\f$2x - 10y + 6z = 8 \pmod{5}\f$).
+ \code
+ Congruence cg1((x - 5*y + 3*z %= 4) / 5);
+ cout << "Congruence cg1: " << cg1 << endl;
+ const Coefficient& m = cg1.modulus();
+ if (m == 0)
+ cout << "Congruence cg1 is an equality." << endl;
+ else {
+ Linear_Expression e;
+ for (dimension_type i = cg1.space_dimension(); i-- > 0; )
+ e += 2 * cg1.coefficient(Variable(i)) * Variable(i);
+ e += 2 * cg1.inhomogeneous_term();
+ Congruence cg2((e %= 0) / m);
+ cout << "Congruence cg2: " << cg2 << endl;
+ }
+ \endcode
+ The actual output could be the following:
+ \code
+ Congruence cg1: A - 5*B + 3*C %= 4 / 5
+ Congruence cg2: 2*A - 10*B + 6*C %= 8 / 5
+ \endcode
+ Note that, in general, the particular output obtained can be
+ syntactically different from the (semantically equivalent)
+ congruence considered.
+*/
+class Parma_Polyhedra_Library::Congruence {
+public:
+
+ //! The representation used for new Congruences.
+ /*!
+ \note The copy constructor and the copy constructor with specified size
+ use the representation of the original object, so that it is
+ indistinguishable from the original object.
+ */
+ static const Representation default_representation = SPARSE;
+
+ //! Constructs the 0 = 0 congruence with space dimension \p 0 .
+ explicit Congruence(Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ /*!
+ \note The new Congruence will have the same representation as `cg',
+ not default_representation, so that they are indistinguishable.
+ */
+ Congruence(const Congruence& cg);
+
+ //! Copy constructor with specified representation.
+ Congruence(const Congruence& cg, Representation r);
+
+ //! Copy-constructs (modulo 0) from equality constraint \p c.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p c is an inequality.
+ */
+ explicit Congruence(const Constraint& c,
+ Representation r = default_representation);
+
+ //! Destructor.
+ ~Congruence();
+
+ //! Assignment operator.
+ Congruence& operator=(const Congruence& y);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Congruence can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ void permute_space_dimensions(const std::vector<Variable>& cycles);
+
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Adapter_Transparent<Linear_Expression> expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ /*!
+ \exception std::invalid_argument thrown if the index of \p v
+ is greater than or equal to the space dimension of \p *this.
+ */
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns the inhomogeneous term of \p *this.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Returns a const reference to the modulus of \p *this.
+ Coefficient_traits::const_reference modulus() const;
+
+ //! Sets the modulus of \p *this to \p m .
+ //! If \p m is 0, the congruence becomes an equality.
+ void set_modulus(Coefficient_traits::const_reference m);
+
+ //! Multiplies all the coefficients, including the modulus, by \p factor .
+ void scale(Coefficient_traits::const_reference factor);
+
+ // TODO: Document this.
+ void affine_preimage(Variable v,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator);
+
+ //! Multiplies \p k into the modulus of \p *this.
+ /*!
+ If called with \p *this representing the congruence \f$ e_1 = e_2
+ \pmod{m}\f$, then it returns with *this representing
+ the congruence \f$ e_1 = e_2 \pmod{mk}\f$.
+ */
+ Congruence&
+ operator/=(Coefficient_traits::const_reference k);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is a tautology
+ (i.e., an always true congruence).
+
+ A tautological congruence has one the following two forms:
+ - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + 0 == 0\f$; or
+ - a proper congruence: \f$\sum_{i=0}^{n-1} 0 x_i + b \%= 0 / m\f$,
+ where \f$b = 0 \pmod{m}\f$.
+ */
+ bool is_tautological() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is inconsistent (i.e., an always false congruence).
+
+ An inconsistent congruence has one of the following two forms:
+ - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + b == 0\f$
+ where \f$b \neq 0\f$; or
+ - a proper congruence: \f$\sum_{i=0}^{n-1} 0 x_i + b \%= 0 / m\f$,
+ where \f$b \neq 0 \pmod{m}\f$.
+ */
+ bool is_inconsistent() const;
+
+ //! Returns <CODE>true</CODE> if the modulus is greater than zero.
+ /*!
+ A congruence with a modulus of 0 is a linear equality.
+ */
+ bool is_proper_congruence() const;
+
+ //! Returns <CODE>true</CODE> if \p *this is an equality.
+ /*!
+ A modulus of zero denotes a linear equality.
+ */
+ bool is_equality() const;
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ /*! \brief
+ Returns a reference to the true (zero-dimension space) congruence
+ \f$0 = 1 \pmod{1}\f$, also known as the <EM>integrality
+ congruence</EM>.
+ */
+ static const Congruence& zero_dim_integrality();
+
+ /*! \brief
+ Returns a reference to the false (zero-dimension space) congruence
+ \f$0 = 1 \pmod{0}\f$.
+ */
+ static const Congruence& zero_dim_false();
+
+ //! Returns the congruence \f$e1 = e2 \pmod{1}\f$.
+ static Congruence
+ create(const Linear_Expression& e1, const Linear_Expression& e2,
+ Representation r = default_representation);
+
+ //! Returns the congruence \f$e = n \pmod{1}\f$.
+ static Congruence
+ create(const Linear_Expression& e, Coefficient_traits::const_reference n,
+ Representation r = default_representation);
+
+ //! Returns the congruence \f$n = e \pmod{1}\f$.
+ static Congruence
+ create(Coefficient_traits::const_reference n, const Linear_Expression& e,
+ Representation r = default_representation);
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation of the internal
+ representation of \p *this.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Congruence& y);
+
+ //! Copy-constructs with the specified space dimension.
+ /*!
+ \note The new Congruence will have the same representation as `cg',
+ not default_representation, for consistency with the copy
+ constructor.
+ */
+ Congruence(const Congruence& cg, dimension_type new_space_dimension);
+
+ //! Copy-constructs with the specified space dimension and representation.
+ Congruence(const Congruence& cg, dimension_type new_space_dimension,
+ Representation r);
+
+ //! Copy-constructs from a constraint, with the specified space dimension
+ //! and (optional) representation.
+ Congruence(const Constraint& cg, dimension_type new_space_dimension,
+ Representation r = default_representation);
+
+ //! Constructs from Linear_Expression \p le, using modulus \p m.
+ /*!
+ Builds a congruence with modulus \p m, stealing the coefficients
+ from \p le.
+
+ \note The new Congruence will have the same representation as `le'.
+
+ \param le
+ The Linear_Expression holding the coefficients.
+
+ \param m
+ The modulus for the congruence, which must be zero or greater.
+ */
+ Congruence(Linear_Expression& le,
+ Coefficient_traits::const_reference m, Recycle_Input);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Sets the space dimension by \p n , adding or removing coefficients as
+ //! needed.
+ void set_space_dimension(dimension_type n);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Normalizes the signs.
+ /*!
+ The signs of the coefficients and the inhomogeneous term are
+ normalized, leaving the first non-zero homogeneous coefficient
+ positive.
+ */
+ void sign_normalize();
+
+ //! Normalizes signs and the inhomogeneous term.
+ /*!
+ Applies sign_normalize, then reduces the inhomogeneous term to the
+ smallest possible positive number.
+ */
+ void normalize();
+
+ //! Calls normalize, then divides out common factors.
+ /*!
+ Strongly normalized Congruences have equivalent semantics if and
+ only if they have the same syntax (as output by operator<<).
+ */
+ void strong_normalize();
+
+private:
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the false (zero-dimension space) congruence \f$0 = 1 \pmod{0}\f$.
+ */
+ static const Congruence* zero_dim_false_p;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the true (zero-dimension space) congruence \f$0 = 1 \pmod{1}\f$,
+ also known as the <EM>integrality congruence</EM>.
+ */
+ static const Congruence* zero_dim_integrality_p;
+
+ Linear_Expression expr;
+
+ Coefficient modulus_;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if \p *this is equal to \p cg in
+ dimension \p v.
+ */
+ bool is_equal_at_dimension(Variable v,
+ const Congruence& cg) const;
+
+ /*! \brief
+ Throws a <CODE>std::invalid_argument</CODE> exception containing
+ error message \p message.
+ */
+ void
+ throw_invalid_argument(const char* method, const char* message) const;
+
+ /*! \brief
+ Throws a <CODE>std::invalid_argument</CODE> exception containing
+ the appropriate error message.
+ */
+ void
+ throw_dimension_incompatible(const char* method,
+ const char* v_name,
+ Variable v) const;
+
+ friend bool
+ operator==(const Congruence& x, const Congruence& y);
+
+ friend bool
+ operator!=(const Congruence& x, const Congruence& y);
+
+ friend class Scalar_Products;
+ friend class Grid;
+};
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operators.
+
+/*! \relates Parma_Polyhedra_Library::Congruence */
+std::ostream&
+operator<<(std::ostream& s, const Congruence& c);
+
+} // namespace IO_Operators
+
+//! Returns the congruence \f$e1 = e2 \pmod{1}\f$.
+/*! \relates Congruence */
+Congruence
+operator%=(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the congruence \f$e = n \pmod{1}\f$.
+/*! \relates Congruence */
+Congruence
+operator%=(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns a copy of \p cg, multiplying \p k into the copy's modulus.
+/*!
+ If \p cg represents the congruence \f$ e_1 = e_2
+ \pmod{m}\f$, then the result represents the
+ congruence \f$ e_1 = e_2 \pmod{mk}\f$.
+ \relates Congruence
+*/
+Congruence
+operator/(const Congruence& cg, Coefficient_traits::const_reference k);
+
+//! Creates a congruence from \p c, with \p m as the modulus.
+/*! \relates Congruence */
+Congruence
+operator/(const Constraint& c, Coefficient_traits::const_reference m);
+
+/*! \relates Congruence */
+void
+swap(Congruence& x, Congruence& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Congruence_inlines.hh"
+
+#endif // !defined(PPL_Congruence_defs_hh)
diff --git a/src/Congruence_inlines.hh b/src/Congruence_inlines.hh
new file mode 100644
index 0000000..77e7246
--- /dev/null
+++ b/src/Congruence_inlines.hh
@@ -0,0 +1,281 @@
+/* Congruence class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Congruence_inlines_hh
+#define PPL_Congruence_inlines_hh 1
+
+#include <sstream>
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Congruence::Congruence(Representation r)
+ : expr(r) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Congruence::Congruence(const Congruence& cg)
+ : expr(cg.expr), modulus_(cg.modulus_) {
+}
+
+inline
+Congruence::Congruence(const Congruence& cg, Representation r)
+ : expr(cg.expr, r), modulus_(cg.modulus_) {
+}
+
+inline
+Congruence::Congruence(const Congruence& cg,
+ dimension_type new_space_dimension)
+ : expr(cg.expr, new_space_dimension), modulus_(cg.modulus_) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Congruence::Congruence(const Congruence& cg,
+ dimension_type new_space_dimension,
+ Representation r)
+ : expr(cg.expr, new_space_dimension, r), modulus_(cg.modulus_) {
+ PPL_ASSERT(OK());
+}
+
+inline Representation
+Congruence::representation() const {
+ return expr.representation();
+}
+
+inline void
+Congruence::set_representation(Representation r) {
+ expr.set_representation(r);
+}
+
+inline Congruence::expr_type
+Congruence::expression() const {
+ return expr_type(expr);
+}
+
+inline void
+Congruence::set_space_dimension(dimension_type n) {
+ expr.set_space_dimension(n);
+ PPL_ASSERT(OK());
+}
+
+inline void
+Congruence::shift_space_dimensions(Variable v, dimension_type n) {
+ expr.shift_space_dimensions(v, n);
+}
+
+inline
+Congruence::~Congruence() {
+}
+
+inline
+Congruence::Congruence(Linear_Expression& le,
+ Coefficient_traits::const_reference m,
+ Recycle_Input)
+ : modulus_(m) {
+ PPL_ASSERT(m >= 0);
+ swap(expr, le);
+
+ PPL_ASSERT(OK());
+}
+
+inline Congruence
+Congruence::create(const Linear_Expression& e,
+ Coefficient_traits::const_reference n,
+ Representation r) {
+ Linear_Expression diff(e, r);
+ diff -= n;
+ const Congruence cg(diff, 1, Recycle_Input());
+ return cg;
+}
+
+inline Congruence
+Congruence::create(Coefficient_traits::const_reference n,
+ const Linear_Expression& e,
+ Representation r) {
+ Linear_Expression diff(e, r);
+ diff -= n;
+ const Congruence cg(diff, 1, Recycle_Input());
+ return cg;
+}
+
+/*! \relates Parma_Polyhedra_Library::Congruence */
+inline Congruence
+operator%=(const Linear_Expression& e1, const Linear_Expression& e2) {
+ return Congruence::create(e1, e2);
+}
+
+/*! \relates Parma_Polyhedra_Library::Congruence */
+inline Congruence
+operator%=(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ return Congruence::create(e, n);
+}
+
+/*! \relates Parma_Polyhedra_Library::Congruence */
+inline Congruence
+operator/(const Congruence& cg, Coefficient_traits::const_reference k) {
+ Congruence ret = cg;
+ ret /= k;
+ return ret;
+}
+
+inline const Congruence&
+Congruence::zero_dim_integrality() {
+ return *zero_dim_integrality_p;
+}
+
+inline const Congruence&
+Congruence::zero_dim_false() {
+ return *zero_dim_false_p;
+}
+
+inline Congruence&
+Congruence::operator=(const Congruence& y) {
+ Congruence tmp = y;
+ swap(*this, tmp);
+ return *this;
+}
+
+/*! \relates Congruence */
+inline Congruence
+operator/(const Constraint& c, Coefficient_traits::const_reference m) {
+ Congruence ret(c);
+ ret /= m;
+ return ret;
+}
+
+inline Congruence&
+Congruence::operator/=(Coefficient_traits::const_reference k) {
+ if (k >= 0)
+ modulus_ *= k;
+ else
+ modulus_ *= -k;
+ return *this;
+}
+
+/*! \relates Congruence */
+inline bool
+operator==(const Congruence& x, const Congruence& y) {
+ if (x.space_dimension() != y.space_dimension())
+ return false;
+ Congruence x_temp(x);
+ Congruence y_temp(y);
+ x_temp.strong_normalize();
+ y_temp.strong_normalize();
+ return x_temp.expr.is_equal_to(y_temp.expr)
+ && x_temp.modulus() == y_temp.modulus();
+}
+
+/*! \relates Congruence */
+inline bool
+operator!=(const Congruence& x, const Congruence& y) {
+ return !(x == y);
+}
+
+inline dimension_type
+Congruence::max_space_dimension() {
+ return Linear_Expression::max_space_dimension();
+}
+
+inline dimension_type
+Congruence::space_dimension() const {
+ return expr.space_dimension();
+}
+
+inline Coefficient_traits::const_reference
+Congruence::coefficient(const Variable v) const {
+ if (v.space_dimension() > space_dimension())
+ throw_dimension_incompatible("coefficient(v)", "v", v);
+ return expr.coefficient(v);
+}
+
+inline void
+Congruence::permute_space_dimensions(const std::vector<Variable>& cycles) {
+ expr.permute_space_dimensions(cycles);
+}
+
+inline Coefficient_traits::const_reference
+Congruence::inhomogeneous_term() const {
+ return expr.inhomogeneous_term();
+}
+
+inline Coefficient_traits::const_reference
+Congruence::modulus() const {
+ return modulus_;
+}
+
+inline void
+Congruence::set_modulus(Coefficient_traits::const_reference m) {
+ modulus_ = m;
+ PPL_ASSERT(OK());
+}
+
+inline bool
+Congruence::is_proper_congruence() const {
+ return modulus() > 0;
+}
+
+inline bool
+Congruence::is_equality() const {
+ return modulus() == 0;
+}
+
+inline bool
+Congruence::is_equal_at_dimension(Variable v,
+ const Congruence& cg) const {
+ return coefficient(v) * cg.modulus() == cg.coefficient(v) * modulus();
+}
+
+inline memory_size_type
+Congruence::external_memory_in_bytes() const {
+ return expr.external_memory_in_bytes()
+ + Parma_Polyhedra_Library::external_memory_in_bytes(modulus_);
+}
+
+inline memory_size_type
+Congruence::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+inline void
+Congruence::m_swap(Congruence& y) {
+ using std::swap;
+ swap(expr, y.expr);
+ swap(modulus_, y.modulus_);
+}
+
+inline void
+Congruence::swap_space_dimensions(Variable v1, Variable v2) {
+ expr.swap_space_dimensions(v1, v2);
+}
+
+/*! \relates Congruence */
+inline void
+swap(Congruence& x, Congruence& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Congruence_inlines_hh)
diff --git a/src/Congruence_types.hh b/src/Congruence_types.hh
new file mode 100644
index 0000000..5cc5e09
--- /dev/null
+++ b/src/Congruence_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Congruence_types_hh
+#define PPL_Congruence_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Congruence;
+
+}
+
+#endif // !defined(PPL_Congruence_types_hh)
diff --git a/src/Constant_Floating_Point_Expression.defs.hh b/src/Constant_Floating_Point_Expression.defs.hh
deleted file mode 100644
index 7dfa8b4..0000000
--- a/src/Constant_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,173 +0,0 @@
-/* Declarations for the Constant_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Constant_Floating_Point_Expression_defs_hh
-#define PPL_Constant_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Constant_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Constant_Floating_Point_Expression */
-template<typename FP_Interval_Type, typename FP_Format>
-void swap(Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Constant Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of floating-point constant expressions
-
- The linearization of a constant floating point expression results in a
- linear form consisting of only the inhomogeneous term
- \f$[l, u]\f$, where \f$l\f$ and \f$u\f$ are the lower
- and upper bounds of the constant value given to the class constructor.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Constant_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /*! \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /*! \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with two parameters: builds the constant floating point
- expression from a \p lower_bound and an \p upper_bound of its
- value in the concrete domain.
- */
- Constant_Floating_Point_Expression(const boundary_type lower_bound,
- const boundary_type upper_bound);
-
- /*! \brief
- Builds a constant floating point expression with the value
- expressed by the string \p str_value.
- */
- Constant_Floating_Point_Expression(const char* str_value);
-
- //! Destructor.
- ~Constant_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- See the class description for an explanation of how \p result is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Constant_Floating_Point_Expression& y);
-
-private:
-
- FP_Interval_Type value;
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Constant_Floating_Point_Expression(
- const Constant_Floating_Point_Expression& y);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited assignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAIL
- Constant_Floating_Point_Expression& operator=(
- const Constant_Floating_Point_Expression& y);
-
-}; // class Constant_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Constant_Floating_Point_Expression.inlines.hh"
-
-#endif // !defined(PPL_Constant_Floating_Point_Expression_defs_hh)
diff --git a/src/Constant_Floating_Point_Expression.inlines.hh b/src/Constant_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index ca210e4..0000000
--- a/src/Constant_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,80 +0,0 @@
-/* Constant_Floating_Point_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Constant_Floating_Point_Expression_inlines_hh
-#define PPL_Constant_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-Constant_Floating_Point_Expression(const char* str_value)
- : value(str_value) {}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-Constant_Floating_Point_Expression(const boundary_type lb,
- const boundary_type ub) {
- assert(lb <= ub);
- value.build(i_constraint(GREATER_OR_EQUAL, lb),
- i_constraint(LESS_OR_EQUAL, ub));
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-~Constant_Floating_Point_Expression() {}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Constant_Floating_Point_Expression& y) {
- using std::swap;
- swap(value, y.value);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline bool
-Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store&,
- const FP_Linear_Form_Abstract_Store&,
- FP_Linear_Form& result) const {
- result = FP_Linear_Form(value);
- return true;
-}
-
-/*! \relates Constant_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Constant_Floating_Point_Expression_inlines_hh)
diff --git a/src/Constant_Floating_Point_Expression.types.hh b/src/Constant_Floating_Point_Expression.types.hh
deleted file mode 100644
index a75f369..0000000
--- a/src/Constant_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Constant_Floating_Point_Expression_types_hh
-#define PPL_Constant_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Constant_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Constant_Floating_Point_Expression_types_hh)
diff --git a/src/Constant_Floating_Point_Expression_defs.hh b/src/Constant_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..26906dd
--- /dev/null
+++ b/src/Constant_Floating_Point_Expression_defs.hh
@@ -0,0 +1,173 @@
+/* Declarations for the Constant_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Constant_Floating_Point_Expression_defs_hh
+#define PPL_Constant_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Constant_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Constant_Floating_Point_Expression */
+template<typename FP_Interval_Type, typename FP_Format>
+void swap(Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Constant Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of floating-point constant expressions
+
+ The linearization of a constant floating point expression results in a
+ linear form consisting of only the inhomogeneous term
+ \f$[l, u]\f$, where \f$l\f$ and \f$u\f$ are the lower
+ and upper bounds of the constant value given to the class constructor.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Constant_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with two parameters: builds the constant floating point
+ expression from a \p lower_bound and an \p upper_bound of its
+ value in the concrete domain.
+ */
+ Constant_Floating_Point_Expression(const boundary_type lower_bound,
+ const boundary_type upper_bound);
+
+ /*! \brief
+ Builds a constant floating point expression with the value
+ expressed by the string \p str_value.
+ */
+ Constant_Floating_Point_Expression(const char* str_value);
+
+ //! Destructor.
+ ~Constant_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ See the class description for an explanation of how \p result is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Constant_Floating_Point_Expression& y);
+
+private:
+
+ FP_Interval_Type value;
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Constant_Floating_Point_Expression(
+ const Constant_Floating_Point_Expression& y);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited assignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAIL
+ Constant_Floating_Point_Expression& operator=(
+ const Constant_Floating_Point_Expression& y);
+
+}; // class Constant_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Constant_Floating_Point_Expression_inlines.hh"
+
+#endif // !defined(PPL_Constant_Floating_Point_Expression_defs_hh)
diff --git a/src/Constant_Floating_Point_Expression_inlines.hh b/src/Constant_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..5e138d2
--- /dev/null
+++ b/src/Constant_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,80 @@
+/* Constant_Floating_Point_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Constant_Floating_Point_Expression_inlines_hh
+#define PPL_Constant_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+Constant_Floating_Point_Expression(const char* str_value)
+ : value(str_value) {}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+Constant_Floating_Point_Expression(const boundary_type lb,
+ const boundary_type ub) {
+ assert(lb <= ub);
+ value.build(i_constraint(GREATER_OR_EQUAL, lb),
+ i_constraint(LESS_OR_EQUAL, ub));
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+~Constant_Floating_Point_Expression() {}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Constant_Floating_Point_Expression& y) {
+ using std::swap;
+ swap(value, y.value);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline bool
+Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store&,
+ const FP_Linear_Form_Abstract_Store&,
+ FP_Linear_Form& result) const {
+ result = FP_Linear_Form(value);
+ return true;
+}
+
+/*! \relates Constant_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Constant_Floating_Point_Expression_inlines_hh)
diff --git a/src/Constant_Floating_Point_Expression_types.hh b/src/Constant_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..72ab45f
--- /dev/null
+++ b/src/Constant_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Constant_Floating_Point_Expression_types_hh
+#define PPL_Constant_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Constant_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Constant_Floating_Point_Expression_types_hh)
diff --git a/src/Constraint.cc b/src/Constraint.cc
index 1aa9faa..f1e5b44 100644
--- a/src/Constraint.cc
+++ b/src/Constraint.cc
@@ -1,6 +1,6 @@
/* Constraint class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,11 +22,11 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Constraint.defs.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.defs.hh"
-#include "Congruence.defs.hh"
-#include "math_utilities.defs.hh"
+#include "Constraint_defs.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_defs.hh"
+#include "Congruence_defs.hh"
+#include "math_utilities_defs.hh"
#include <iostream>
#include <sstream>
@@ -36,7 +36,7 @@ namespace PPL = Parma_Polyhedra_Library;
void
PPL::Constraint::throw_invalid_argument(const char* method,
- const char* message) const {
+ const char* message) const {
std::ostringstream s;
s << "PPL::Constraint::" << method << ":" << std::endl
<< message;
@@ -45,8 +45,8 @@ PPL::Constraint::throw_invalid_argument(const char* method,
void
PPL::Constraint::throw_dimension_incompatible(const char* method,
- const char* name_var,
- const Variable v) const {
+ const char* name_var,
+ const Variable v) const {
std::ostringstream s;
s << "PPL::Constraint::" << method << ":" << std::endl
<< "this->space_dimension() == " << space_dimension() << ", "
@@ -64,8 +64,7 @@ PPL::Constraint::construct_epsilon_geq_zero() {
}
PPL::Constraint::Constraint(const Congruence& cg, Representation r)
- : expr(cg, r),
- wrapped_expr(expr, false),
+ : expr(cg.expression(), r),
kind_(LINE_OR_EQUALITY),
topology_(NECESSARILY_CLOSED) {
if (!cg.is_equality())
@@ -116,21 +115,21 @@ PPL::Constraint::is_tautological() const {
// The constraint is NOT necessarily closed.
const int eps_sign = sgn(epsilon_coefficient());
if (eps_sign > 0)
- // We have found the constraint epsilon >= 0.
- return true;
+ // We have found the constraint epsilon >= 0.
+ return true;
if (eps_sign == 0)
- // One of the `true' dimensions has a non-zero coefficient.
- return false;
+ // One of the `true' dimensions has a non-zero coefficient.
+ return false;
else {
- // Here the epsilon coefficient is negative: strict inequality.
- if (expr.inhomogeneous_term() <= 0)
- // A strict inequality such as `lhs - k > 0',
- // where k is a non negative integer, cannot be trivially true.
- return false;
- // Checking for another non-zero coefficient.
+ // Here the epsilon coefficient is negative: strict inequality.
+ if (expr.inhomogeneous_term() <= 0)
+ // A strict inequality such as `lhs - k > 0',
+ // where k is a non negative integer, cannot be trivially true.
+ return false;
+ // Checking for another non-zero coefficient.
// If the check succeeds, we have the inequality `k > 0',
// where k is a positive integer.
- return wrapped_expr.all_homogeneous_terms_are_zero();
+ return expression().all_homogeneous_terms_are_zero();
}
}
}
@@ -151,20 +150,20 @@ PPL::Constraint::is_inconsistent() const {
else {
// The constraint is NOT necessarily closed.
if (epsilon_coefficient() >= 0)
- // If positive, we have found the constraint epsilon >= 0.
- // If zero, one of the `true' dimensions has a non-zero coefficient.
- // In both cases, it is not trivially false.
- return false;
+ // If positive, we have found the constraint epsilon >= 0.
+ // If zero, one of the `true' dimensions has a non-zero coefficient.
+ // In both cases, it is not trivially false.
+ return false;
else {
- // Here the epsilon coefficient is negative: strict inequality.
- if (expr.inhomogeneous_term() > 0)
- // A strict inequality such as `lhs + k > 0',
- // where k is a positive integer, cannot be trivially false.
- return false;
+ // Here the epsilon coefficient is negative: strict inequality.
+ if (expr.inhomogeneous_term() > 0)
+ // A strict inequality such as `lhs + k > 0',
+ // where k is a positive integer, cannot be trivially false.
+ return false;
// Checking for another non-zero coefficient.
// If the check succeeds, we have the inequality `k > 0',
// where k is a positive integer.
- return wrapped_expr.all_homogeneous_terms_are_zero();
+ return expression().all_homogeneous_terms_are_zero();
}
}
}
@@ -208,8 +207,8 @@ PPL::Constraint::is_equivalent_to(const Constraint& y) const {
// different strict inequalities may actually encode the same
// topologically open half-space.
// First, drop the epsilon-coefficient ...
- Linear_Expression x_expr(x);
- Linear_Expression y_expr(y);
+ Linear_Expression x_expr(x.expression());
+ Linear_Expression y_expr(y.expression());
// ... then, re-normalize ...
x_expr.normalize();
y_expr.normalize();
@@ -332,12 +331,14 @@ PPL::Constraint::ascii_load(std::istream& s) {
// TODO: Avoid the mark_as_*() methods if possible.
if (topology() == NECESSARILY_CLOSED)
mark_as_not_necessarily_closed();
- } else
+ }
+ else
if (str2 == "(C)") {
// TODO: Avoid the mark_as_*() methods if possible.
if (topology() == NOT_NECESSARILY_CLOSED)
mark_as_necessarily_closed();
- } else
+ }
+ else
return false;
// Checking for equality of actual and declared types.
@@ -364,8 +365,8 @@ std::ostream&
PPL::IO_Operators::operator<<(std::ostream& s, const Constraint& c) {
PPL_DIRTY_TEMP_COEFFICIENT(cv);
bool first = true;
- for (Constraint::Expression::const_iterator i = c.expression().begin(),
- i_end = c.expression().end(); i != i_end; ++i) {
+ for (Constraint::expr_type::const_iterator i = c.expression().begin(),
+ i_end = c.expression().end(); i != i_end; ++i) {
cv = *i;
if (!first) {
if (cv > 0)
@@ -428,8 +429,8 @@ PPL::Constraint::OK() const {
if (is_not_necessarily_closed() && expr.space_dimension() == 0) {
#ifndef NDEBUG
std::cerr << "Constraint has fewer coefficients than the minimum "
- << "allowed by its topology."
- << std::endl;
+ << "allowed by its topology."
+ << std::endl;
#endif
return false;
}
@@ -438,7 +439,7 @@ PPL::Constraint::OK() const {
&& epsilon_coefficient() != 0) {
#ifndef NDEBUG
std::cerr << "Illegal constraint: an equality cannot be strict."
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -449,7 +450,7 @@ PPL::Constraint::OK() const {
if (tmp != *this) {
#ifndef NDEBUG
std::cerr << "Constraint is not strongly normalized as it should be."
- << std::endl;
+ << std::endl;
#endif
return false;
}
diff --git a/src/Constraint.defs.hh b/src/Constraint.defs.hh
deleted file mode 100644
index 4795bc2..0000000
--- a/src/Constraint.defs.hh
+++ /dev/null
@@ -1,842 +0,0 @@
-/* Constraint class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Constraint_defs_hh
-#define PPL_Constraint_defs_hh 1
-
-#include "Constraint.types.hh"
-
-#include "Congruence.types.hh"
-#include "Variables_Set.types.hh"
-#include "Polyhedron.types.hh"
-#include "termination.types.hh"
-#include "Octagonal_Shape.types.hh"
-#include "Grid.types.hh"
-
-#include "Linear_Expression.defs.hh"
-#include "Variable.defs.hh"
-#include "Topology.types.hh"
-#include "Expression_Hide_Last.defs.hh"
-
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-//! Returns the constraint \p e1 \< \p e2.
-/*! \relates Constraint */
-Constraint
-operator<(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the constraint \p v1 \< \p v2.
-/*! \relates Constraint */
-Constraint
-operator<(Variable v1, Variable v2);
-
-//! Returns the constraint \p e \< \p n.
-/*! \relates Constraint */
-Constraint
-operator<(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the constraint \p n \< \p e.
-/*! \relates Constraint */
-Constraint
-operator<(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the constraint \p e1 \> \p e2.
-/*! \relates Constraint */
-Constraint
-operator>(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the constraint \p v1 \> \p v2.
-/*! \relates Constraint */
-Constraint
-operator>(Variable v1, Variable v2);
-
-//! Returns the constraint \p e \> \p n.
-/*! \relates Constraint */
-Constraint
-operator>(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the constraint \p n \> \p e.
-/*! \relates Constraint */
-Constraint
-operator>(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the constraint \p e1 = \p e2.
-/*! \relates Constraint */
-Constraint
-operator==(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the constraint \p v1 = \p v2.
-/*! \relates Constraint */
-Constraint
-operator==(Variable v1, Variable v2);
-
-//! Returns the constraint \p e = \p n.
-/*! \relates Constraint */
-Constraint
-operator==(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the constraint \p n = \p e.
-/*! \relates Constraint */
-Constraint
-operator==(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the constraint \p e1 \<= \p e2.
-/*! \relates Constraint */
-Constraint
-operator<=(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the constraint \p v1 \<= \p v2.
-/*! \relates Constraint */
-Constraint
-operator<=(Variable v1, Variable v2);
-
-//! Returns the constraint \p e \<= \p n.
-/*! \relates Constraint */
-Constraint
-operator<=(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the constraint \p n \<= \p e.
-/*! \relates Constraint */
-Constraint
-operator<=(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the constraint \p e1 \>= \p e2.
-/*! \relates Constraint */
-Constraint
-operator>=(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the constraint \p v1 \>= \p v2.
-/*! \relates Constraint */
-Constraint
-operator>=(Variable v1, Variable v2);
-
-//! Returns the constraint \p e \>= \p n.
-/*! \relates Constraint */
-Constraint
-operator>=(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the constraint \p n \>= \p e.
-/*! \relates Constraint */
-Constraint
-operator>=(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The basic comparison function.
-/*! \relates Constraint
- \return
- The returned absolute value can be \f$0\f$, \f$1\f$ or \f$2\f$.
-
- \param x
- A row of coefficients;
-
- \param y
- Another row.
-
- Compares \p x and \p y, where \p x and \p y may be of different size,
- in which case the "missing" coefficients are assumed to be zero.
- The comparison is such that:
- -# equalities are smaller than inequalities;
- -# lines are smaller than points and rays;
- -# the ordering is lexicographic;
- -# the positions compared are, in decreasing order of significance,
- 1, 2, ..., \p size(), 0;
- -# the result is negative, zero, or positive if x is smaller than,
- equal to, or greater than y, respectively;
- -# when \p x and \p y are different, the absolute value of the
- result is 1 if the difference is due to the coefficient in
- position 0; it is 2 otherwise.
-
- When \p x and \p y represent the hyper-planes associated
- to two equality or inequality constraints, the coefficient
- at 0 is the known term.
- In this case, the return value can be characterized as follows:
- - -2, if \p x is smaller than \p y and they are \e not parallel;
- - -1, if \p x is smaller than \p y and they \e are parallel;
- - 0, if \p x and y are equal;
- - +1, if \p y is smaller than \p x and they \e are parallel;
- - +2, if \p y is smaller than \p x and they are \e not parallel.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-int compare(const Constraint& x, const Constraint& y);
-
-}
-
-//! A linear equality or inequality.
-/*! \ingroup PPL_CXX_interface
- An object of the class Constraint is either:
- - an equality: \f$\sum_{i=0}^{n-1} a_i x_i + b = 0\f$;
- - a non-strict inequality: \f$\sum_{i=0}^{n-1} a_i x_i + b \geq 0\f$; or
- - a strict inequality: \f$\sum_{i=0}^{n-1} a_i x_i + b > 0\f$;
-
- where \f$n\f$ is the dimension of the space,
- \f$a_i\f$ is the integer coefficient of variable \f$x_i\f$
- and \f$b\f$ is the integer inhomogeneous term.
-
- \par How to build a constraint
- Constraints are typically built by applying a relation symbol
- to a pair of linear expressions.
- Available relation symbols are equality (<CODE>==</CODE>),
- non-strict inequalities (<CODE>\>=</CODE> and <CODE>\<=</CODE>) and
- strict inequalities (<CODE>\<</CODE> and <CODE>\></CODE>).
- The space dimension of a constraint is defined as the maximum
- space dimension of the arguments of its constructor.
-
- \par
- In the following examples it is assumed that variables
- <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
- are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- Variable z(2);
- \endcode
-
- \par Example 1
- The following code builds the equality constraint
- \f$3x + 5y - z = 0\f$, having space dimension \f$3\f$:
- \code
- Constraint eq_c(3*x + 5*y - z == 0);
- \endcode
- The following code builds the (non-strict) inequality constraint
- \f$4x \geq 2y - 13\f$, having space dimension \f$2\f$:
- \code
- Constraint ineq_c(4*x >= 2*y - 13);
- \endcode
- The corresponding strict inequality constraint
- \f$4x > 2y - 13\f$ is obtained as follows:
- \code
- Constraint strict_ineq_c(4*x > 2*y - 13);
- \endcode
- An unsatisfiable constraint on the zero-dimension space \f$\Rset^0\f$
- can be specified as follows:
- \code
- Constraint false_c = Constraint::zero_dim_false();
- \endcode
- Equivalent, but more involved ways are the following:
- \code
- Constraint false_c1(Linear_Expression::zero() == 1);
- Constraint false_c2(Linear_Expression::zero() >= 1);
- Constraint false_c3(Linear_Expression::zero() > 0);
- \endcode
- In contrast, the following code defines an unsatisfiable constraint
- having space dimension \f$3\f$:
- \code
- Constraint false_c(0*z == 1);
- \endcode
-
- \par How to inspect a constraint
- Several methods are provided to examine a constraint and extract
- all the encoded information: its space dimension, its type
- (equality, non-strict inequality, strict inequality) and
- the value of its integer coefficients.
-
- \par Example 2
- The following code shows how it is possible to access each single
- coefficient of a constraint. Given an inequality constraint
- (in this case \f$x - 5y + 3z \leq 4\f$), we construct a new constraint
- corresponding to its complement (thus, in this case we want to obtain
- the strict inequality constraint \f$x - 5y + 3z > 4\f$).
- \code
- Constraint c1(x - 5*y + 3*z <= 4);
- cout << "Constraint c1: " << c1 << endl;
- if (c1.is_equality())
- cout << "Constraint c1 is not an inequality." << endl;
- else {
- Linear_Expression e;
- for (dimension_type i = c1.space_dimension(); i-- > 0; )
- e += c1.coefficient(Variable(i)) * Variable(i);
- e += c1.inhomogeneous_term();
- Constraint c2 = c1.is_strict_inequality() ? (e <= 0) : (e < 0);
- cout << "Complement c2: " << c2 << endl;
- }
- \endcode
- The actual output is the following:
- \code
- Constraint c1: -A + 5*B - 3*C >= -4
- Complement c2: A - 5*B + 3*C > 4
- \endcode
- Note that, in general, the particular output obtained can be
- syntactically different from the (semantically equivalent)
- constraint considered.
-*/
-class Parma_Polyhedra_Library::Constraint {
-public:
-
- //! The constraint type.
- enum Type {
- /*! The constraint is an equality. */
- EQUALITY,
- /*! The constraint is a non-strict inequality. */
- NONSTRICT_INEQUALITY,
- /*! The constraint is a strict inequality. */
- STRICT_INEQUALITY
- };
-
- //! The representation used for new Constraints.
- /*!
- \note The copy constructor and the copy constructor with specified size
- use the representation of the original object, so that it is
- indistinguishable from the original object.
- */
- static const Representation default_representation = SPARSE;
-
- //! Constructs the \f$0<=0\f$ constraint.
- explicit Constraint(Representation r = default_representation);
-
- //! Ordinary copy constructor.
- /*!
- \note The new Constraint will have the same representation as `c',
- not default_representation, so that they are indistinguishable.
- */
- Constraint(const Constraint& c);
-
- //! Copy constructor with given size.
- /*!
- \note The new Constraint will have the same representation as `c',
- not default_representation, so that they are indistinguishable.
- */
- Constraint(const Constraint& c, dimension_type space_dim);
-
- //! Copy constructor with given representation.
- Constraint(const Constraint& c, Representation r);
-
- //! Copy constructor with given size and representation.
- Constraint(const Constraint& c, dimension_type space_dim,
- Representation r);
-
- //! Copy-constructs from equality congruence \p cg.
- /*!
- \exception std::invalid_argument
- Thrown if \p cg is a proper congruence.
- */
- explicit Constraint(const Congruence& cg,
- Representation r = default_representation);
-
- //! Destructor.
- ~Constraint();
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Assignment operator.
- Constraint& operator=(const Constraint& c);
-
- //! Returns the maximum space dimension a Constraint can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Sets the dimension of the vector space enclosing \p *this to
- //! \p space_dim .
- void set_space_dimension(dimension_type space_dim);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Removes all the specified dimensions from the constraint.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
-
- Always returns \p true. The return value is needed for compatibility with
- the Generator class.
- */
- bool remove_space_dimensions(const Variables_Set& vars);
-
- //! Permutes the space dimensions of the constraint.
- /*
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Returns the constraint type of \p *this.
- Type type() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is an equality constraint.
- */
- bool is_equality() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is an inequality constraint (either strict or non-strict).
- */
- bool is_inequality() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is a non-strict inequality constraint.
- */
- bool is_nonstrict_inequality() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is a strict inequality constraint.
- */
- bool is_strict_inequality() const;
-
- //! Returns the coefficient of \p v in \p *this.
- /*!
- \exception std::invalid_argument thrown if the index of \p v
- is greater than or equal to the space dimension of \p *this.
- */
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- //! The unsatisfiable (zero-dimension space) constraint \f$0 = 1\f$.
- static const Constraint& zero_dim_false();
-
- /*! \brief
- The true (zero-dimension space) constraint \f$0 \leq 1\f$,
- also known as <EM>positivity constraint</EM>.
- */
- static const Constraint& zero_dim_positivity();
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is a tautology (i.e., an always true constraint).
-
- A tautology can have either one of the following forms:
- - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + 0 = 0\f$; or
- - a non-strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b \geq 0\f$,
- where \f$b \geq 0\f$; or
- - a strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b > 0\f$,
- where \f$b > 0\f$.
- */
- bool is_tautological() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this is inconsistent (i.e., an always false constraint).
-
- An inconsistent constraint can have either one of the following forms:
- - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + b = 0\f$,
- where \f$b \neq 0\f$; or
- - a non-strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b \geq 0\f$,
- where \f$b < 0\f$; or
- - a strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b > 0\f$,
- where \f$b \leq 0\f$.
- */
- bool is_inconsistent() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y
- are equivalent constraints.
-
- Constraints having different space dimensions are not equivalent.
- Note that constraints having different types may nonetheless be
- equivalent, if they both are tautologies or inconsistent.
- */
- bool is_equivalent_to(const Constraint& y) const;
-
- //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
- /*!
- This is faster than is_equivalent_to(), but it may return `false' even
- for equivalent constraints.
- */
- bool is_equal_to(const Constraint& y) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Swaps \p *this with \p y.
- void m_swap(Constraint& y);
-
- //! Returns the zero-dimension space constraint \f$\epsilon \geq 0\f$.
- static const Constraint& epsilon_geq_zero();
-
- /*! \brief
- The zero-dimension space constraint \f$\epsilon \leq 1\f$
- (used to implement NNC polyhedra).
- */
- static const Constraint& epsilon_leq_one();
-
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Expression_Hide_Last<Linear_Expression> Expression;
-
- //! Allows user code to read the constraint's expression (but note that the
- //! return type is not Linear_Expression, not all operations are allowed).
- const Expression& expression() const;
-
-private:
-
- //! The possible kinds of Constraint objects.
- enum Kind {
- LINE_OR_EQUALITY = 0,
- RAY_OR_POINT_OR_INEQUALITY = 1
- };
-
- Linear_Expression expr;
-
- Expression wrapped_expr;
-
- Kind kind_;
-
- Topology topology_;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the unsatisfiable (zero-dimension space) constraint \f$0 = 1\f$.
- */
- static const Constraint* zero_dim_false_p;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the true (zero-dimension space) constraint \f$0 \leq 1\f$, also
- known as <EM>positivity constraint</EM>.
- */
- static const Constraint* zero_dim_positivity_p;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the zero-dimension space constraint \f$\epsilon \geq 0\f$.
- */
- static const Constraint* epsilon_geq_zero_p;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the zero-dimension space constraint \f$\epsilon \leq 1\f$
- (used to implement NNC polyhedra).
- */
- static const Constraint* epsilon_leq_one_p;
-
- //! Constructs the \f$0<0\f$ constraint.
- Constraint(dimension_type space_dim, Kind kind, Topology topology,
- Representation r = default_representation);
-
- /*! \brief
- Builds a constraint of kind \p kind and topology \p topology,
- stealing the coefficients from \p e.
-
- \note The new Constraint will have the same representation as `e'.
- */
- Constraint(Linear_Expression& e, Kind kind, Topology topology);
-
- /*! \brief
- Builds a constraint of type \p type and topology \p topology,
- stealing the coefficients from \p e.
-
- \note The new Constraint will have the same representation as `e'.
- */
- Constraint(Linear_Expression& e, Type type, Topology topology);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row
- represents a line or an equality.
- */
- bool is_line_or_equality() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row
- represents a ray, a point or an inequality.
- */
- bool is_ray_or_point_or_inequality() const;
-
- //! Sets to \p LINE_OR_EQUALITY the kind of \p *this row.
- void set_is_line_or_equality();
-
- //! Sets to \p RAY_OR_POINT_OR_INEQUALITY the kind of \p *this row.
- void set_is_ray_or_point_or_inequality();
-
- //! \name Flags inspection methods
- //@{
- //! Returns the topological kind of \p *this.
- Topology topology() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the topology
- of \p *this row is not necessarily closed.
- */
- bool is_not_necessarily_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the topology
- of \p *this row is necessarily closed.
- */
- bool is_necessarily_closed() const;
- //@} // Flags inspection methods
-
- //! \name Flags coercion methods
- //@{
-
- // TODO: Consider setting the epsilon dimension in this method.
- //! Sets to \p x the topological kind of \p *this row.
- void set_topology(Topology x);
-
- //! Sets to \p NECESSARILY_CLOSED the topological kind of \p *this row.
- void set_necessarily_closed();
-
- //! Sets to \p NOT_NECESSARILY_CLOSED the topological kind of \p *this row.
- void set_not_necessarily_closed();
- //@} // Flags coercion methods
-
- //! Sets the dimension of the vector space enclosing \p *this to
- //! \p space_dim .
- //! Sets the space dimension of the rows in the system to \p space_dim .
- /*!
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid objects.
- */
- void set_space_dimension_no_ok(dimension_type space_dim);
-
- /*! \brief
- Throws a <CODE>std::invalid_argument</CODE> exception containing
- error message \p message.
- */
- void
- throw_invalid_argument(const char* method, const char* message) const;
-
- /*! \brief
- Throws a <CODE>std::invalid_argument</CODE> exception
- containing the appropriate error message.
- */
- void
- throw_dimension_incompatible(const char* method,
- const char* name_var,
- Variable v) const;
-
- //! Returns the epsilon coefficient. The constraint must be NNC.
- Coefficient_traits::const_reference epsilon_coefficient() const;
-
- //! Sets the epsilon coefficient to \p n. The constraint must be NNC.
- void set_epsilon_coefficient(Coefficient_traits::const_reference n);
-
- //! Marks the epsilon dimension as a standard dimension.
- /*!
- The row topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is increased by 1.
- */
- void mark_as_necessarily_closed();
-
- //! Marks the last dimension as the epsilon dimension.
- /*!
- The row topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is decreased by 1.
- */
- void mark_as_not_necessarily_closed();
-
- //! Sets the constraint type to <CODE>EQUALITY</CODE>.
- void set_is_equality();
-
- //! Sets the constraint to be an inequality.
- /*!
- Whether the constraint type will become <CODE>NONSTRICT_INEQUALITY</CODE>
- or <CODE>STRICT_INEQUALITY</CODE> depends on the topology and the value
- of the low-level coefficients of the constraint.
- */
- void set_is_inequality();
-
- //! Linearly combines \p *this with \p y so that i-th coefficient is 0.
- /*!
- \param y
- The Constraint that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting Constraint to \p *this and normalizes it.
- */
- void linear_combine(const Constraint& y, dimension_type i);
-
- /*! \brief
- Normalizes the sign of the coefficients so that the first non-zero
- (homogeneous) coefficient of a line-or-equality is positive.
- */
- void sign_normalize();
-
- /*! \brief
- Strong normalization: ensures that different Constraint objects
- represent different hyperplanes or hyperspaces.
-
- Applies both Constraint::normalize() and Constraint::sign_normalize().
- */
- void strong_normalize();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the coefficients are
- strongly normalized.
- */
- bool check_strong_normalized() const;
-
- /*! \brief
- Builds a new copy of the zero-dimension space constraint
- \f$\epsilon \geq 0\f$ (used to implement NNC polyhedra).
- */
- static Constraint construct_epsilon_geq_zero();
-
- friend int
- compare(const Constraint& x, const Constraint& y);
-
- friend class Linear_System<Constraint>;
- friend class Constraint_System;
- friend class Polyhedron;
- friend class Scalar_Products;
- friend class Topology_Adjusted_Scalar_Product_Sign;
- friend class Termination_Helpers;
- friend class Grid;
- template <typename T>
- friend class Octagonal_Shape;
-
- friend Constraint
- operator<(const Linear_Expression& e1, const Linear_Expression& e2);
-
- friend Constraint
- operator<(Variable v1, Variable v2);
-
- friend Constraint
- operator<(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Constraint
- operator<(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
- friend Constraint
- operator>(const Linear_Expression& e1, const Linear_Expression& e2);
-
- friend Constraint
- operator>(Variable v1, Variable v2);
-
- friend Constraint
- operator>(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Constraint
- operator>(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
- friend Constraint
- operator==(const Linear_Expression& e1, const Linear_Expression& e2);
-
- friend Constraint
- operator==(Variable v1, Variable v2);
-
- friend Constraint
- operator==(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Constraint
- operator==(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
- friend Constraint
- operator<=(const Linear_Expression& e1, const Linear_Expression& e2);
-
- friend Constraint
- operator<=(Variable v1, Variable v2);
-
- friend Constraint
- operator<=(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Constraint
- operator<=(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
- friend Constraint
- operator>=(const Linear_Expression& e1, const Linear_Expression& e2);
-
- friend Constraint
- operator>=(Variable v1, Variable v2);
-
- friend Constraint
- operator>=(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Constraint
- operator>=(Coefficient_traits::const_reference n, const Linear_Expression& e);
-};
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Constraint */
-std::ostream& operator<<(std::ostream& s, const Constraint& c);
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Constraint */
-std::ostream& operator<<(std::ostream& s, const Constraint::Type& t);
-
-} // namespace IO_Operators
-
-//! Returns <CODE>true</CODE> if and only if \p x is equivalent to \p y.
-/*! \relates Constraint */
-bool
-operator==(const Constraint& x, const Constraint& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x is not equivalent to \p y.
-/*! \relates Constraint */
-bool
-operator!=(const Constraint& x, const Constraint& y);
-
-/*! \relates Constraint */
-void swap(Constraint& x, Constraint& y);
-
-} // namespace Parma_Polyhedra_Library
-
-
-#include "Constraint.inlines.hh"
-
-#endif // !defined(PPL_Constraint_defs_hh)
diff --git a/src/Constraint.inlines.hh b/src/Constraint.inlines.hh
deleted file mode 100644
index 68823ca..0000000
--- a/src/Constraint.inlines.hh
+++ /dev/null
@@ -1,588 +0,0 @@
-/* Constraint class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Constraint_inlines_hh
-#define PPL_Constraint_inlines_hh 1
-
-#include "Linear_Expression.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline bool
-Constraint::is_necessarily_closed() const {
- return (topology_ == NECESSARILY_CLOSED);
-}
-
-inline bool
-Constraint::is_not_necessarily_closed() const {
- return !is_necessarily_closed();
-}
-
-inline dimension_type
-Constraint::space_dimension() const {
- return wrapped_expr.space_dimension();
-}
-
-inline void
-Constraint::shift_space_dimensions(Variable v, dimension_type n) {
- expr.shift_space_dimensions(v, n);
-}
-
-inline bool
-Constraint::is_line_or_equality() const {
- return (kind_ == LINE_OR_EQUALITY);
-}
-
-inline bool
-Constraint::is_ray_or_point_or_inequality() const {
- return (kind_ == RAY_OR_POINT_OR_INEQUALITY);
-}
-
-inline Topology
-Constraint::topology() const {
- return topology_;
-}
-
-inline void
-Constraint::set_is_line_or_equality() {
- kind_ = LINE_OR_EQUALITY;
-}
-
-inline void
-Constraint::set_is_ray_or_point_or_inequality() {
- kind_ = RAY_OR_POINT_OR_INEQUALITY;
-}
-
-inline void
-Constraint::set_topology(Topology x) {
- if (topology() == x)
- return;
- if (topology() == NECESSARILY_CLOSED) {
- // Add a column for the epsilon dimension.
- expr.set_space_dimension(expr.space_dimension() + 1);
- wrapped_expr.set_hide_last(true);
- } else {
- PPL_ASSERT(expr.space_dimension() != 0);
- expr.set_space_dimension(expr.space_dimension() - 1);
- wrapped_expr.set_hide_last(false);
- }
- topology_ = x;
-}
-
-inline void
-Constraint::mark_as_necessarily_closed() {
- PPL_ASSERT(is_not_necessarily_closed());
- topology_ = NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(false);
-}
-
-inline void
-Constraint::mark_as_not_necessarily_closed() {
- PPL_ASSERT(is_necessarily_closed());
- topology_ = NOT_NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(true);
-}
-
-inline void
-Constraint::set_necessarily_closed() {
- set_topology(NECESSARILY_CLOSED);
-}
-
-inline void
-Constraint::set_not_necessarily_closed() {
- set_topology(NOT_NECESSARILY_CLOSED);
-}
-
-inline
-Constraint::Constraint(Representation r)
- : expr(r),
- wrapped_expr(expr, false),
- kind_(RAY_OR_POINT_OR_INEQUALITY),
- topology_(NECESSARILY_CLOSED) {
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::Constraint(dimension_type space_dim, Kind kind, Topology topology,
- Representation r)
- : expr(r),
- wrapped_expr(expr, topology == NOT_NECESSARILY_CLOSED),
- kind_(kind),
- topology_(topology) {
- expr.set_space_dimension(space_dim + 1);
- PPL_ASSERT(space_dimension() == space_dim);
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::Constraint(Linear_Expression& e, Kind kind, Topology topology)
- : wrapped_expr(expr, topology == NOT_NECESSARILY_CLOSED),
- kind_(kind),
- topology_(topology) {
- PPL_ASSERT(kind != RAY_OR_POINT_OR_INEQUALITY || topology == NOT_NECESSARILY_CLOSED);
- swap(expr, e);
- if (topology == NOT_NECESSARILY_CLOSED)
- // Add the epsilon dimension.
- expr.set_space_dimension(expr.space_dimension() + 1);
- strong_normalize();
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::Constraint(Linear_Expression& e, Type type, Topology topology)
- : wrapped_expr(expr, topology == NOT_NECESSARILY_CLOSED),
- topology_(topology) {
- PPL_ASSERT(type != STRICT_INEQUALITY || topology == NOT_NECESSARILY_CLOSED);
- swap(expr, e);
- if (topology == NOT_NECESSARILY_CLOSED)
- expr.set_space_dimension(expr.space_dimension() + 1);
- if (type == EQUALITY)
- kind_ = LINE_OR_EQUALITY;
- else
- kind_ = RAY_OR_POINT_OR_INEQUALITY;
- strong_normalize();
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::Constraint(const Constraint& c)
- : expr(c.expr),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
- kind_(c.kind_),
- topology_(c.topology_) {
- // NOTE: This does not call PPL_ASSERT(OK()) because this is called by OK().
-}
-
-inline
-Constraint::Constraint(const Constraint& c, Representation r)
- : expr(c.expr, r),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
- kind_(c.kind_),
- topology_(c.topology_) {
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::Constraint(const Constraint& c, const dimension_type space_dim)
- : expr(c.expr, c.is_necessarily_closed() ? space_dim : (space_dim + 1)),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
- kind_(c.kind_), topology_(c.topology_) {
- PPL_ASSERT(space_dimension() == space_dim);
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::Constraint(const Constraint& c, const dimension_type space_dim,
- Representation r)
- : expr(c.expr, c.is_necessarily_closed() ? space_dim : (space_dim + 1), r),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
- kind_(c.kind_), topology_(c.topology_) {
- PPL_ASSERT(space_dimension() == space_dim);
- PPL_ASSERT(OK());
-}
-
-inline
-Constraint::~Constraint() {
-}
-
-inline Constraint&
-Constraint::operator=(const Constraint& c) {
- Constraint tmp = c;
- swap(*this, tmp);
-
- return *this;
-}
-
-inline const Constraint::Expression&
-Constraint::expression() const {
- return wrapped_expr;
-}
-
-inline Representation
-Constraint::representation() const {
- return expr.representation();
-}
-
-inline void
-Constraint::set_representation(Representation r) {
- expr.set_representation(r);
-}
-
-inline dimension_type
-Constraint::max_space_dimension() {
- return Linear_Expression::max_space_dimension();
-}
-
-inline void
-Constraint::set_space_dimension_no_ok(dimension_type space_dim) {
- const dimension_type old_expr_space_dim = expr.space_dimension();
- if (topology() == NECESSARILY_CLOSED) {
- expr.set_space_dimension(space_dim);
- } else {
- const dimension_type old_space_dim = space_dimension();
- if (space_dim > old_space_dim) {
- expr.set_space_dimension(space_dim + 1);
- expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- } else {
- expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- expr.set_space_dimension(space_dim + 1);
- }
- }
- PPL_ASSERT(space_dimension() == space_dim);
- if (expr.space_dimension() < old_expr_space_dim)
- strong_normalize();
-}
-
-inline void
-Constraint::set_space_dimension(dimension_type space_dim) {
- set_space_dimension_no_ok(space_dim);
- PPL_ASSERT(OK());
-}
-
-inline bool
-Constraint::remove_space_dimensions(const Variables_Set& vars) {
- expr.remove_space_dimensions(vars);
- return true;
-}
-
-inline bool
-Constraint::is_equality() const {
- return is_line_or_equality();
-}
-
-inline bool
-Constraint::is_inequality() const {
- return is_ray_or_point_or_inequality();
-}
-
-inline Constraint::Type
-Constraint::type() const {
- if (is_equality())
- return EQUALITY;
- if (is_necessarily_closed())
- return NONSTRICT_INEQUALITY;
- if (epsilon_coefficient() < 0)
- return STRICT_INEQUALITY;
- else
- return NONSTRICT_INEQUALITY;
-}
-
-inline bool
-Constraint::is_nonstrict_inequality() const {
- return type() == NONSTRICT_INEQUALITY;
-}
-
-inline bool
-Constraint::is_strict_inequality() const {
- return type() == STRICT_INEQUALITY;
-}
-
-inline void
-Constraint::set_is_equality() {
- set_is_line_or_equality();
-}
-
-inline void
-Constraint::set_is_inequality() {
- set_is_ray_or_point_or_inequality();
-}
-
-inline Coefficient_traits::const_reference
-Constraint::coefficient(const Variable v) const {
- if (v.space_dimension() > space_dimension())
- throw_dimension_incompatible("coefficient(v)", "v", v);
- return expr.coefficient(v);
-}
-
-inline Coefficient_traits::const_reference
-Constraint::inhomogeneous_term() const {
- return expr.inhomogeneous_term();
-}
-
-inline memory_size_type
-Constraint::external_memory_in_bytes() const {
- return expr.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Constraint::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline void
-Constraint::strong_normalize() {
- expr.normalize();
- sign_normalize();
-}
-
-/*! \relates Constraint */
-inline bool
-operator==(const Constraint& x, const Constraint& y) {
- return x.is_equivalent_to(y);
-}
-
-/*! \relates Constraint */
-inline bool
-operator!=(const Constraint& x, const Constraint& y) {
- return !x.is_equivalent_to(y);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator==(const Linear_Expression& e1, const Linear_Expression& e2) {
- Linear_Expression diff(e1,
- std::max(e1.space_dimension(), e2.space_dimension()),
- Constraint::default_representation);
- diff -= e2;
- return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator==(Variable v1, Variable v2) {
- if (v1.space_dimension() > v2.space_dimension())
- swap(v1, v2);
- PPL_ASSERT(v1.space_dimension() <= v2.space_dimension());
-
- Linear_Expression diff(v1, Constraint::default_representation);
- diff -= v2;
- return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>=(const Linear_Expression& e1, const Linear_Expression& e2) {
- Linear_Expression diff(e1,
- std::max(e1.space_dimension(), e2.space_dimension()),
- Constraint::default_representation);
- diff -= e2;
- return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>=(const Variable v1, const Variable v2) {
- Linear_Expression diff(Constraint::default_representation);
- diff.set_space_dimension(std::max(v1.space_dimension(),
- v2.space_dimension()));
- diff += v1;
- diff -= v2;
- return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>(const Linear_Expression& e1, const Linear_Expression& e2) {
- Linear_Expression diff(e1, Constraint::default_representation);
- diff -= e2;
- Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
-
- // NOTE: this also enforces normalization.
- c.set_epsilon_coefficient(-1);
- PPL_ASSERT(c.OK());
-
- return c;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>(const Variable v1, const Variable v2) {
- Linear_Expression diff(Constraint::default_representation);
- diff.set_space_dimension(std::max(v1.space_dimension(),
- v2.space_dimension()));
- diff += v1;
- diff -= v2;
- Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
-
- c.set_epsilon_coefficient(-1);
- PPL_ASSERT(c.OK());
-
- return c;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator==(Coefficient_traits::const_reference n, const Linear_Expression& e) {
- Linear_Expression diff(e, Constraint::default_representation);
- neg_assign(diff);
- diff += n;
- return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>=(Coefficient_traits::const_reference n, const Linear_Expression& e) {
- Linear_Expression diff(e, Constraint::default_representation);
- neg_assign(diff);
- diff += n;
- return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>(Coefficient_traits::const_reference n, const Linear_Expression& e) {
- Linear_Expression diff(e, Constraint::default_representation);
- neg_assign(diff);
- diff += n;
- Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
-
- // NOTE: this also enforces normalization.
- c.set_epsilon_coefficient(-1);
- PPL_ASSERT(c.OK());
-
- return c;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator==(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- Linear_Expression diff(e, Constraint::default_representation);
- diff -= n;
- return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>=(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- Linear_Expression diff(e, Constraint::default_representation);
- diff -= n;
- return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator>(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- Linear_Expression diff(e, Constraint::default_representation);
- diff -= n;
- Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
-
- // NOTE: this also enforces normalization.
- c.set_epsilon_coefficient(-1);
- PPL_ASSERT(c.OK());
-
- return c;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<=(const Linear_Expression& e1, const Linear_Expression& e2) {
- return e2 >= e1;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<=(const Variable v1, const Variable v2) {
- return v2 >= v1;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<=(Coefficient_traits::const_reference n, const Linear_Expression& e) {
- return e >= n;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<=(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- return n >= e;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<(const Linear_Expression& e1, const Linear_Expression& e2) {
- return e2 > e1;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<(const Variable v1, const Variable v2) {
- return v2 > v1;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<(Coefficient_traits::const_reference n, const Linear_Expression& e) {
- return e > n;
-}
-
-/*! \relates Constraint */
-inline Constraint
-operator<(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- return n > e;
-}
-
-inline const Constraint&
-Constraint::zero_dim_false() {
- PPL_ASSERT(zero_dim_false_p != 0);
- return *zero_dim_false_p;
-}
-
-inline const Constraint&
-Constraint::zero_dim_positivity() {
- PPL_ASSERT(zero_dim_positivity_p != 0);
- return *zero_dim_positivity_p;
-}
-
-inline const Constraint&
-Constraint::epsilon_geq_zero() {
- PPL_ASSERT(epsilon_geq_zero_p != 0);
- return *epsilon_geq_zero_p;
-}
-
-inline const Constraint&
-Constraint::epsilon_leq_one() {
- PPL_ASSERT(epsilon_leq_one_p != 0);
- return *epsilon_leq_one_p;
-}
-
-inline void
-Constraint::m_swap(Constraint& y) {
- using std::swap;
- swap(expr, y.expr);
- swap(kind_, y.kind_);
- swap(topology_, y.topology_);
- wrapped_expr.set_hide_last(is_not_necessarily_closed());
- y.wrapped_expr.set_hide_last(y.is_not_necessarily_closed());
-}
-
-inline Coefficient_traits::const_reference
-Constraint::epsilon_coefficient() const {
- PPL_ASSERT(is_not_necessarily_closed());
- return expr.coefficient(Variable(expr.space_dimension() - 1));
-}
-
-inline void
-Constraint::set_epsilon_coefficient(Coefficient_traits::const_reference n) {
- PPL_ASSERT(is_not_necessarily_closed());
- expr.set_coefficient(Variable(expr.space_dimension() - 1), n);
-}
-
-/*! \relates Constraint */
-inline void
-swap(Constraint& x, Constraint& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Constraint_inlines_hh)
diff --git a/src/Constraint.types.hh b/src/Constraint.types.hh
deleted file mode 100644
index b272e2c..0000000
--- a/src/Constraint.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Constraint_types_hh
-#define PPL_Constraint_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Constraint;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Constraint_types_hh)
diff --git a/src/Constraint_System.cc b/src/Constraint_System.cc
index 8150a9e..03cef66 100644
--- a/src/Constraint_System.cc
+++ b/src/Constraint_System.cc
@@ -1,6 +1,6 @@
/* Constraint_System class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,13 +22,13 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Generator.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Generator_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
#include "assert.hh"
#include <string>
#include <vector>
@@ -41,7 +41,7 @@ PPL::Constraint_System::Constraint_System(const Congruence_System& cgs,
Representation r)
: sys(NECESSARILY_CLOSED, cgs.space_dimension(), r) {
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
+ cgs_end = cgs.end(); i != cgs_end; ++i)
if (i->is_equality()) {
Constraint tmp(*i);
insert(tmp, Recycle_Input());
@@ -52,7 +52,7 @@ PPL::Constraint_System::Constraint_System(const Congruence_System& cgs,
bool
PPL::Constraint_System::
adjust_topology_and_space_dimension(const Topology new_topology,
- const dimension_type new_space_dim) {
+ const dimension_type new_space_dim) {
PPL_ASSERT(space_dimension() <= new_space_dim);
if (sys.topology() == NOT_NECESSARILY_CLOSED
@@ -68,7 +68,7 @@ adjust_topology_and_space_dimension(const Topology new_topology,
// If they are present, we erase these rows, so that the
// epsilon column will only contain zeroes: as a consequence,
// we just decrement the number of columns to be added.
- bool was_sorted = sys.is_sorted();
+ const bool was_sorted = sys.is_sorted();
// Note that num_rows() is *not* constant, because it is decreased by
// remove_row().
@@ -176,7 +176,7 @@ PPL::Constraint_System::num_inequalities() const {
else
for (dimension_type i = sys.num_rows(); i-- > 0 ; )
if (cs[i].is_inequality())
- ++n;
+ ++n;
return n;
}
@@ -202,30 +202,30 @@ PPL::Constraint_System::satisfies_all_constraints(const Generator& g) const {
// Setting `sps' to the appropriate scalar product sign operator.
// This also avoids problems when having _legal_ topology mismatches
// (which could also cause a mismatch in the number of columns).
- Topology_Adjusted_Scalar_Product_Sign sps(g);
+ const Topology_Adjusted_Scalar_Product_Sign sps(g);
if (sys.is_necessarily_closed()) {
if (g.is_line()) {
// Lines must saturate all constraints.
for (dimension_type i = sys.num_rows(); i-- > 0; )
- if (sps(g, sys[i]) != 0)
- return false;
+ if (sps(g, sys[i]) != 0)
+ return false;
}
else
// `g' is either a ray, a point or a closure point.
for (dimension_type i = sys.num_rows(); i-- > 0; ) {
const Constraint& c = sys[i];
- const int sp_sign = sps(g, c);
- if (c.is_inequality()) {
- // As `cs' is necessarily closed,
- // `c' is a non-strict inequality.
- if (sp_sign < 0)
- return false;
- }
- else
- // `c' is an equality.
- if (sp_sign != 0)
- return false;
+ const int sp_sign = sps(g, c);
+ if (c.is_inequality()) {
+ // As `cs' is necessarily closed,
+ // `c' is a non-strict inequality.
+ if (sp_sign < 0)
+ return false;
+ }
+ else
+ // `c' is an equality.
+ if (sp_sign != 0)
+ return false;
}
}
else
@@ -235,8 +235,8 @@ PPL::Constraint_System::satisfies_all_constraints(const Generator& g) const {
case Generator::LINE:
// Lines must saturate all constraints.
for (dimension_type i = sys.num_rows(); i-- > 0; )
- if (sps(g, sys[i]) != 0)
- return false;
+ if (sps(g, sys[i]) != 0)
+ return false;
break;
@@ -245,21 +245,21 @@ PPL::Constraint_System::satisfies_all_constraints(const Generator& g) const {
// when dealing with a strict inequality.
for (dimension_type i = sys.num_rows(); i-- > 0; ) {
const Constraint& c = sys[i];
- const int sp_sign = sps(g, c);
- switch (c.type()) {
- case Constraint::EQUALITY:
- if (sp_sign != 0)
- return false;
- break;
- case Constraint::NONSTRICT_INEQUALITY:
- if (sp_sign < 0)
- return false;
- break;
- case Constraint::STRICT_INEQUALITY:
- if (sp_sign <= 0)
- return false;
- break;
- }
+ const int sp_sign = sps(g, c);
+ switch (c.type()) {
+ case Constraint::EQUALITY:
+ if (sp_sign != 0)
+ return false;
+ break;
+ case Constraint::NONSTRICT_INEQUALITY:
+ if (sp_sign < 0)
+ return false;
+ break;
+ case Constraint::STRICT_INEQUALITY:
+ if (sp_sign <= 0)
+ return false;
+ break;
+ }
}
break;
@@ -268,16 +268,16 @@ PPL::Constraint_System::satisfies_all_constraints(const Generator& g) const {
case Generator::CLOSURE_POINT:
for (dimension_type i = sys.num_rows(); i-- > 0; ) {
const Constraint& c = sys[i];
- const int sp_sign = sps(g, c);
- if (c.is_inequality()) {
- // Constraint `c' is either a strict or a non-strict inequality.
- if (sp_sign < 0)
- return false;
- }
- else
- // Constraint `c' is an equality.
- if (sp_sign != 0)
- return false;
+ const int sp_sign = sps(g, c);
+ if (c.is_inequality()) {
+ // Constraint `c' is either a strict or a non-strict inequality.
+ if (sp_sign < 0)
+ return false;
+ }
+ else
+ // Constraint `c' is an equality.
+ if (sp_sign != 0)
+ return false;
}
break;
}
@@ -290,8 +290,8 @@ PPL::Constraint_System::satisfies_all_constraints(const Generator& g) const {
void
PPL::Constraint_System
::affine_preimage(const Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
PPL_ASSERT(v.space_dimension() <= sys.space_dimension());
PPL_ASSERT(expr.space_dimension() <= sys.space_dimension());
PPL_ASSERT(denominator > 0);
@@ -306,7 +306,7 @@ PPL::Constraint_System
Constraint& row = sys.rows[i];
Coefficient_traits::const_reference row_v = row.coefficient(v);
if (row_v != 0) {
- Coefficient c = row_v;
+ const Coefficient c = row_v;
if (denominator != 1)
row.expr *= denominator;
row.expr.linear_combine(expr, 1, c, 0, expr.space_dimension() + 1);
@@ -374,7 +374,7 @@ PPL::IO_Operators::operator<<(std::ostream& s, const Constraint_System& cs) {
s << *i;
++i;
if (i != cs_end)
- s << ", ";
+ s << ", ";
}
}
return s;
diff --git a/src/Constraint_System.defs.hh b/src/Constraint_System.defs.hh
deleted file mode 100644
index 0c5d973..0000000
--- a/src/Constraint_System.defs.hh
+++ /dev/null
@@ -1,687 +0,0 @@
-/* Constraint_System class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Constraint_System_defs_hh
-#define PPL_Constraint_System_defs_hh 1
-
-#include "Constraint_System.types.hh"
-
-#include "Linear_System.defs.hh"
-#include "Constraint.defs.hh"
-
-#include "Linear_Expression.types.hh"
-#include "Generator.types.hh"
-#include "Constraint.types.hh"
-#include "Congruence_System.types.hh"
-#include "Polyhedron.types.hh"
-#include "termination.types.hh"
-#include <iterator>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Constraint_System
- Writes <CODE>true</CODE> if \p cs is empty. Otherwise, writes on
- \p s the constraints of \p cs, all in one row and separated by ", ".
-*/
-std::ostream& operator<<(std::ostream& s, const Constraint_System& cs);
-
-} // namespace IO_Operators
-
-// TODO: Consider removing this.
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates Constraint_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator==(const Constraint_System& x, const Constraint_System& y);
-
-// TODO: Consider removing this.
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Constraint_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator!=(const Constraint_System& x, const Constraint_System& y);
-
-/*! \relates Constraint_System */
-void
-swap(Constraint_System& x, Constraint_System& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A system of constraints.
-/*! \ingroup PPL_CXX_interface
- An object of the class Constraint_System is a system of constraints,
- i.e., a multiset of objects of the class Constraint.
- When inserting constraints in a system, space dimensions are
- automatically adjusted so that all the constraints in the system
- are defined on the same vector space.
-
- \par
- In all the examples it is assumed that variables
- <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code builds a system of constraints corresponding to
- a square in \f$\Rset^2\f$:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x <= 3);
- cs.insert(y >= 0);
- cs.insert(y <= 3);
- \endcode
- Note that:
- the constraint system is created with space dimension zero;
- the first and third constraint insertions increase the space
- dimension to \f$1\f$ and \f$2\f$, respectively.
-
- \par Example 2
- By adding four strict inequalities to the constraint system
- of the previous example, we can remove just the four
- vertices from the square defined above.
- \code
- cs.insert(x + y > 0);
- cs.insert(x + y < 6);
- cs.insert(x - y < 3);
- cs.insert(y - x < 3);
- \endcode
-
- \par Example 3
- The following code builds a system of constraints corresponding to
- a half-strip in \f$\Rset^2\f$:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x - y <= 0);
- cs.insert(x - y + 1 >= 0);
- \endcode
-
- \note
- After inserting a multiset of constraints in a constraint system,
- there are no guarantees that an <EM>exact</EM> copy of them
- can be retrieved:
- in general, only an <EM>equivalent</EM> constraint system
- will be available, where original constraints may have been
- reordered, removed (if they are trivial, duplicate or
- implied by other constraints), linearly combined, etc.
-*/
-class Parma_Polyhedra_Library::Constraint_System {
-public:
- typedef Constraint row_type;
-
- static const Representation default_representation = SPARSE;
-
- //! Default constructor: builds an empty system of constraints.
- explicit Constraint_System(Representation r = default_representation);
-
- //! Builds the singleton system containing only constraint \p c.
- explicit Constraint_System(const Constraint& c,
- Representation r = default_representation);
-
- //! Builds a system containing copies of any equalities in \p cgs.
- explicit Constraint_System(const Congruence_System& cgs,
- Representation r = default_representation);
-
- //! Ordinary copy constructor.
- /*!
- \note The copy will have the same representation as `cs', to make it
- indistinguishable from `cs'.
- */
- Constraint_System(const Constraint_System& cs);
-
- //! Copy constructor with specified representation.
- Constraint_System(const Constraint_System& cs, Representation r);
-
- //! Destructor.
- ~Constraint_System();
-
- //! Assignment operator.
- Constraint_System& operator=(const Constraint_System& y);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Constraint_System can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Sets the space dimension of the rows in the system to \p space_dim .
- void set_space_dimension(dimension_type space_dim);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains one or more equality constraints.
- */
- bool has_equalities() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains one or more strict inequality constraints.
- */
- bool has_strict_inequalities() const;
-
- /*! \brief
- Inserts in \p *this a copy of the constraint \p c,
- increasing the number of space dimensions if needed.
- */
- void insert(const Constraint& c);
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- /*! \brief
- Returns the singleton system containing only Constraint::zero_dim_false().
- */
- static const Constraint_System& zero_dim_empty();
-
- typedef Constraint_System_const_iterator const_iterator;
-
- //! Returns <CODE>true</CODE> if and only if \p *this has no constraints.
- bool empty() const;
-
- /*! \brief
- Removes all the constraints from the constraint system
- and sets its space dimension to 0.
- */
- void clear();
-
- /*! \brief
- Returns the const_iterator pointing to the first constraint,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const_iterator.
- const_iterator end() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Constraint_System& y);
-
-private:
- Linear_System<Constraint> sys;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the singleton system containing only Constraint::zero_dim_false().
- */
- static const Constraint_System* zero_dim_empty_p;
-
- friend class Constraint_System_const_iterator;
-
- friend bool operator==(const Constraint_System& x,
- const Constraint_System& y);
-
- //! Builds an empty system of constraints having the specified topology.
- explicit Constraint_System(Topology topol,
- Representation r = default_representation);
-
- /*! \brief
- Builds a system of constraints on a \p space_dim dimensional space. If
- \p topol is <CODE>NOT_NECESSARILY_CLOSED</CODE> the \f$\epsilon\f$
- dimension is added.
- */
- Constraint_System(Topology topol, dimension_type space_dim,
- Representation r = default_representation);
-
- //! Returns the number of equality constraints.
- dimension_type num_equalities() const;
-
- //! Returns the number of inequality constraints.
- dimension_type num_inequalities() const;
-
- /*! \brief
- Applies Gaussian elimination and back-substitution so as
- to provide a partial simplification of the system of constraints.
-
- It is assumed that the system has no pending constraints.
- */
- void simplify();
-
- /*! \brief
- Adjusts \p *this so that it matches \p new_topology and
- \p new_space_dim (adding or removing columns if needed).
- Returns <CODE>false</CODE> if and only if \p topol is
- equal to <CODE>NECESSARILY_CLOSED</CODE> and \p *this
- contains strict inequalities.
- */
- bool adjust_topology_and_space_dimension(Topology new_topology,
- dimension_type new_space_dim);
-
- //! Returns a constant reference to the \p k- th constraint of the system.
- const Constraint& operator[](dimension_type k) const;
-
- //! Returns <CODE>true</CODE> if \p g satisfies all the constraints.
- bool satisfies_all_constraints(const Generator& g) const;
-
- //! Substitutes a given column of coefficients by a given affine expression.
- /*!
- \param v
- The variable to which the affine transformation is substituted.
-
- \param expr
- The numerator of the affine transformation:
- \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
-
- \param denominator
- The denominator of the affine transformation.
-
- We want to allow affine transformations
- (see Section \ref Images_and_Preimages_of_Affine_Transfer_Relations)
- having any rational coefficients. Since the coefficients of the
- constraints are integers we must also provide an integer \p
- denominator that will be used as denominator of the affine
- transformation.
- The denominator is required to be a positive integer.
-
- The affine transformation substitutes the matrix of constraints
- by a new matrix whose elements \f${a'}_{ij}\f$ are built from
- the old one \f$a_{ij}\f$ as follows:
- \f[
- {a'}_{ij} =
- \begin{cases}
- a_{ij} * \mathrm{denominator} + a_{iv} * \mathrm{expr}[j]
- \quad \text{for } j \neq v; \\
- \mathrm{expr}[v] * a_{iv}
- \quad \text{for } j = v.
- \end{cases}
- \f]
-
- \p expr is a constant parameter and unaltered by this computation.
- */
- void affine_preimage(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator);
-
- /*! \brief
- Inserts in \p *this a copy of the constraint \p c,
- increasing the number of space dimensions if needed.
- It is a pending constraint.
- */
- void insert_pending(const Constraint& c);
-
- //! Adds low-level constraints to the constraint system.
- void add_low_level_constraints();
-
- //! Returns the system topology.
- Topology topology() const;
-
- dimension_type num_rows() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- the system topology is <CODE>NECESSARILY_CLOSED</CODE>.
- */
- bool is_necessarily_closed() const;
-
- //! Returns the number of rows that are in the pending part of the system.
- dimension_type num_pending_rows() const;
-
- //! Returns the index of the first pending row.
- dimension_type first_pending_row() const;
-
- //! Returns the value of the sortedness flag.
- bool is_sorted() const;
-
- //! Sets the index to indicate that the system has no pending rows.
- void unset_pending_rows();
-
- //! Sets the index of the first pending row to \p i.
- void set_index_first_pending_row(dimension_type i);
-
- //! Sets the sortedness flag of the system to \p b.
- void set_sorted(bool b);
-
- //! Makes the system shrink by removing its i-th row.
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(n).
-
- Otherwise, this method just swaps the i-th row with the last and then
- removes it, so it costs O(1).
- */
- void remove_row(dimension_type i, bool keep_sorted = false);
-
- //! Removes the specified rows. The row ordering of remaining rows is
- //! preserved.
- /*!
- \param indexes specifies a list of row indexes.
- It must be sorted.
- */
- void remove_rows(const std::vector<dimension_type>& indexes);
-
- //! Makes the system shrink by removing the rows in [first,last).
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(num_rows()).
-
- Otherwise, this method just swaps the rows with the last ones and then
- removes them, so it costs O(last - first).
- */
- void remove_rows(dimension_type first, dimension_type last,
- bool keep_sorted = false);
-
- //! Makes the system shrink by removing its \p n trailing rows.
- void remove_trailing_rows(dimension_type n);
-
- //! Removes all the specified dimensions from the constraint system.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Permutes the space dimensions of the matrix.
- /*
- \param cycle
- A vector representing a cycle of the permutation according to which the
- columns must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- bool has_no_rows() const;
-
- //! Strongly normalizes the system.
- void strong_normalize();
-
- /*! \brief
- Sorts the non-pending rows (in growing order) and eliminates
- duplicated ones.
- */
- void sort_rows();
-
- /*! \brief
- Adds the given row to the pending part of the system, stealing its
- contents and automatically resizing the system or the row, if needed.
- */
- void insert_pending(Constraint& r, Recycle_Input);
-
- //! Adds the rows of `y' to the pending part of `*this', stealing them from
- //! `y'.
- void insert_pending(Constraint_System& r, Recycle_Input);
-
- /*! \brief
- Adds \p r to the system, stealing its contents and
- automatically resizing the system or the row, if needed.
- */
- void insert(Constraint& r, Recycle_Input);
-
- //! Adds to \p *this a the rows of `y', stealing them from `y'.
- /*!
- It is assumed that \p *this has no pending rows.
- */
- void insert(Constraint_System& r, Recycle_Input);
-
- //! Adds a copy of the rows of `y' to the pending part of `*this'.
- void insert_pending(const Constraint_System& r);
-
- /*! \brief
- Assigns to \p *this the result of merging its rows with
- those of \p y, obtaining a sorted system.
-
- Duplicated rows will occur only once in the result.
- On entry, both systems are assumed to be sorted and have
- no pending rows.
- */
- void merge_rows_assign(const Constraint_System& y);
-
- //! Adds to \p *this a copy of the rows of \p y.
- /*!
- It is assumed that \p *this has no pending rows.
- */
- void insert(const Constraint_System& y);
-
- //! Marks the epsilon dimension as a standard dimension.
- /*!
- The system topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is increased by 1.
- */
- void mark_as_necessarily_closed();
-
- //! Marks the last dimension as the epsilon dimension.
- /*!
- The system topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is decreased by 1.
- */
- void mark_as_not_necessarily_closed();
-
- //! Minimizes the subsystem of equations contained in \p *this.
- /*!
- This method works only on the equalities of the system:
- the system is required to be partially sorted, so that
- all the equalities are grouped at its top; it is assumed that
- the number of equalities is exactly \p n_lines_or_equalities.
- The method finds a minimal system for the equalities and
- returns its rank, i.e., the number of linearly independent equalities.
- The result is an upper triangular subsystem of equalities:
- for each equality, the pivot is chosen starting from
- the right-most columns.
- */
- dimension_type gauss(dimension_type n_lines_or_equalities);
-
- /*! \brief
- Back-substitutes the coefficients to reduce
- the complexity of the system.
-
- Takes an upper triangular system having \p n_lines_or_equalities rows.
- For each row, starting from the one having the minimum number of
- coefficients different from zero, computes the expression of an element
- as a function of the remaining ones and then substitutes this expression
- in all the other rows.
- */
- void back_substitute(dimension_type n_lines_or_equalities);
-
- //! Full assignment operator: pending rows are copied as pending.
- void assign_with_pending(const Constraint_System& y);
-
- /*! \brief
- Sorts the pending rows and eliminates those that also occur
- in the non-pending part of the system.
- */
- void sort_pending_and_remove_duplicates();
-
- /*! \brief
- Sorts the system, removing duplicates, keeping the saturation
- matrix consistent.
-
- \param sat
- Bit matrix with rows corresponding to the rows of \p *this.
- */
- void sort_and_remove_with_sat(Bit_Matrix& sat);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is sorted,
- without checking for duplicates.
- */
- bool check_sorted() const;
-
- /*! \brief
- Returns the number of rows in the system
- that represent either lines or equalities.
- */
- dimension_type num_lines_or_equalities() const;
-
- //! Adds \p n rows and space dimensions to the system.
- /*!
- \param n
- The number of rows and space dimensions to be added: must be strictly
- positive.
-
- Turns the system \f$M \in \Rset^r \times \Rset^c\f$ into
- the system \f$N \in \Rset^{r+n} \times \Rset^{c+n}\f$
- such that
- \f$N = \bigl(\genfrac{}{}{0pt}{}{0}{M}\genfrac{}{}{0pt}{}{J}{o}\bigr)\f$,
- where \f$J\f$ is the specular image
- of the \f$n \times n\f$ identity matrix.
- */
- void add_universe_rows_and_space_dimensions(dimension_type n);
-
- friend class Polyhedron;
- friend class Termination_Helpers;
-};
-
-//! An iterator over a system of constraints.
-/*! \ingroup PPL_CXX_interface
- A const_iterator is used to provide read-only access
- to each constraint contained in a Constraint_System object.
-
- \par Example
- The following code prints the system of constraints
- defining the polyhedron <CODE>ph</CODE>:
- \code
-const Constraint_System& cs = ph.constraints();
-for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
- cout << *i << endl;
- \endcode
-*/
-// NOTE: This is not an inner class of Constraint_System, so Constraint can
-// declare that this class is his friend without including this file
-// (the .types.hh file suffices).
-class Parma_Polyhedra_Library::Constraint_System_const_iterator
- : public std::iterator<std::forward_iterator_tag,
- Constraint,
- ptrdiff_t,
- const Constraint*,
- const Constraint&> {
-public:
- //! Default constructor.
- Constraint_System_const_iterator();
-
- //! Ordinary copy constructor.
- Constraint_System_const_iterator(const Constraint_System_const_iterator& y);
-
- //! Destructor.
- ~Constraint_System_const_iterator();
-
- //! Assignment operator.
- Constraint_System_const_iterator&
- operator=(const Constraint_System_const_iterator& y);
-
- //! Dereference operator.
- const Constraint& operator*() const;
-
- //! Indirect member selector.
- const Constraint* operator->() const;
-
- //! Prefix increment operator.
- Constraint_System_const_iterator& operator++();
-
- //! Postfix increment operator.
- Constraint_System_const_iterator operator++(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are identical.
- */
- bool operator==(const Constraint_System_const_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are different.
- */
- bool operator!=(const Constraint_System_const_iterator& y) const;
-
-private:
- friend class Constraint_System;
-
- //! The const iterator over the matrix of constraints.
- Linear_System<Constraint>::const_iterator i;
-
- //! A const pointer to the matrix of constraints.
- const Linear_System<Constraint>* csp;
-
- //! Constructor.
- Constraint_System_const_iterator(const Linear_System<Constraint>
- ::const_iterator& iter,
- const Constraint_System& cs);
-
- //! \p *this skips to the next non-trivial constraint.
- void skip_forward();
-};
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Helper returning number of constraints in system.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-dimension_type
-num_constraints(const Constraint_System& cs);
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-// Constraint_System.inlines.hh is not included here on purpose.
-
-#endif // !defined(PPL_Constraint_System_defs_hh)
diff --git a/src/Constraint_System.inlines.hh b/src/Constraint_System.inlines.hh
deleted file mode 100644
index 120970c..0000000
--- a/src/Constraint_System.inlines.hh
+++ /dev/null
@@ -1,439 +0,0 @@
-/* Constraint_System class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Constraint_System_inlines_hh
-#define PPL_Constraint_System_inlines_hh 1
-
-#include "Constraint.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Constraint_System::Constraint_System(Representation r)
- : sys(NECESSARILY_CLOSED, r) {
-}
-
-inline
-Constraint_System::Constraint_System(const Constraint& c, Representation r)
- : sys(c.topology(), r) {
- sys.insert(c);
-}
-
-inline
-Constraint_System::Constraint_System(const Constraint_System& cs)
- : sys(cs.sys) {
-}
-
-inline
-Constraint_System::Constraint_System(const Constraint_System& cs,
- Representation r)
- : sys(cs.sys, r) {
-}
-
-inline
-Constraint_System::Constraint_System(const Topology topol, Representation r)
- : sys(topol, r) {
-}
-
-inline
-Constraint_System::Constraint_System(const Topology topol,
- const dimension_type space_dim,
- Representation r)
- : sys(topol, space_dim, r) {
-}
-
-inline
-Constraint_System::~Constraint_System() {
-}
-
-inline Constraint_System&
-Constraint_System::operator=(const Constraint_System& y) {
- Constraint_System tmp = y;
- swap(*this, tmp);
- return *this;
-}
-
-inline const Constraint&
-Constraint_System::operator[](const dimension_type k) const {
- return sys[k];
-}
-
-inline Representation
-Constraint_System::representation() const {
- return sys.representation();
-}
-
-inline void
-Constraint_System::set_representation(Representation r) {
- sys.set_representation(r);
-}
-
-inline dimension_type
-Constraint_System::max_space_dimension() {
- return Linear_System<Constraint>::max_space_dimension();
-}
-
-inline dimension_type
-Constraint_System::space_dimension() const {
- return sys.space_dimension();
-}
-
-inline void
-Constraint_System::set_space_dimension(dimension_type space_dim) {
- return sys.set_space_dimension(space_dim);
-}
-
-inline void
-Constraint_System::clear() {
- sys.clear();
-}
-
-inline const Constraint_System&
-Constraint_System::zero_dim_empty() {
- PPL_ASSERT(zero_dim_empty_p != 0);
- return *zero_dim_empty_p;
-}
-
-inline
-Constraint_System_const_iterator::Constraint_System_const_iterator()
- : i(), csp(0) {
-}
-
-inline
-Constraint_System_const_iterator::Constraint_System_const_iterator(const Constraint_System_const_iterator& y)
- : i(y.i), csp(y.csp) {
-}
-
-inline
-Constraint_System_const_iterator::~Constraint_System_const_iterator() {
-}
-
-inline Constraint_System_const_iterator&
-Constraint_System_const_iterator::operator=(const Constraint_System_const_iterator& y) {
- i = y.i;
- csp = y.csp;
- return *this;
-}
-
-inline const Constraint&
-Constraint_System_const_iterator::operator*() const {
- return *i;
-}
-
-inline const Constraint*
-Constraint_System_const_iterator::operator->() const {
- return i.operator->();
-}
-
-inline Constraint_System_const_iterator&
-Constraint_System_const_iterator::operator++() {
- ++i;
- skip_forward();
- return *this;
-}
-
-inline Constraint_System_const_iterator
-Constraint_System_const_iterator::operator++(int) {
- const Constraint_System_const_iterator tmp = *this;
- operator++();
- return tmp;
-}
-
-inline bool
-Constraint_System_const_iterator::operator==(const Constraint_System_const_iterator& y) const {
- return i == y.i;
-}
-
-inline bool
-Constraint_System_const_iterator::operator!=(const Constraint_System_const_iterator& y) const {
- return i != y.i;
-}
-
-inline
-Constraint_System_const_iterator::
-Constraint_System_const_iterator(const Linear_System<Constraint>::const_iterator& iter,
- const Constraint_System& cs)
- : i(iter), csp(&cs.sys) {
-}
-
-inline Constraint_System_const_iterator
-Constraint_System::begin() const {
- const_iterator i(sys.begin(), *this);
- i.skip_forward();
- return i;
-}
-
-inline Constraint_System_const_iterator
-Constraint_System::end() const {
- const Constraint_System_const_iterator i(sys.end(), *this);
- return i;
-}
-
-inline bool
-Constraint_System::empty() const {
- return begin() == end();
-}
-
-inline void
-Constraint_System::add_low_level_constraints() {
- if (sys.is_necessarily_closed())
- // The positivity constraint.
- insert(Constraint::zero_dim_positivity());
- else {
- // Add the epsilon constraints.
- insert(Constraint::epsilon_leq_one());
- insert(Constraint::epsilon_geq_zero());
- }
-}
-
-inline void
-Constraint_System::m_swap(Constraint_System& y) {
- swap(sys, y.sys);
-}
-
-inline memory_size_type
-Constraint_System::external_memory_in_bytes() const {
- return sys.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Constraint_System::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-inline void
-Constraint_System::simplify() {
- sys.simplify();
-}
-
-inline Topology
-Constraint_System::topology() const {
- return sys.topology();
-}
-
-inline dimension_type
-Constraint_System::num_rows() const {
- return sys.num_rows();
-}
-
-inline bool
-Constraint_System::is_necessarily_closed() const {
- return sys.is_necessarily_closed();
-}
-
-inline dimension_type
-Constraint_System::num_pending_rows() const {
- return sys.num_pending_rows();
-}
-
-inline dimension_type
-Constraint_System::first_pending_row() const {
- return sys.first_pending_row();
-}
-
-inline bool
-Constraint_System::is_sorted() const {
- return sys.is_sorted();
-}
-
-inline void
-Constraint_System::unset_pending_rows() {
- sys.unset_pending_rows();
-}
-
-inline void
-Constraint_System::set_index_first_pending_row(dimension_type i) {
- sys.set_index_first_pending_row(i);
-}
-
-inline void
-Constraint_System::set_sorted(bool b) {
- sys.set_sorted(b);
-}
-
-inline void
-Constraint_System::remove_row(dimension_type i, bool keep_sorted) {
- sys.remove_row(i, keep_sorted);
-}
-
-inline void
-Constraint_System::remove_rows(dimension_type first, dimension_type last,
- bool keep_sorted) {
- sys.remove_rows(first, last, keep_sorted);
-}
-
-inline void
-Constraint_System::remove_rows(const std::vector<dimension_type>& indexes) {
- sys.remove_rows(indexes);
-}
-
-inline void
-Constraint_System::remove_trailing_rows(dimension_type n) {
- sys.remove_trailing_rows(n);
-}
-
-inline void
-Constraint_System
-::remove_space_dimensions(const Variables_Set& vars) {
- sys.remove_space_dimensions(vars);
-}
-
-inline void
-Constraint_System
-::shift_space_dimensions(Variable v, dimension_type n) {
- sys.shift_space_dimensions(v, n);
-}
-
-inline void
-Constraint_System
-::permute_space_dimensions(const std::vector<Variable>& cycle) {
- sys.permute_space_dimensions(cycle);
-}
-
-inline void
-Constraint_System
-::swap_space_dimensions(Variable v1, Variable v2) {
- sys.swap_space_dimensions(v1, v2);
-}
-
-inline bool
-Constraint_System::has_no_rows() const {
- return sys.has_no_rows();
-}
-
-inline void
-Constraint_System::strong_normalize() {
- sys.strong_normalize();
-}
-
-inline void
-Constraint_System::sort_rows() {
- sys.sort_rows();
-}
-
-inline void
-Constraint_System::insert_pending(Constraint_System& r, Recycle_Input) {
- sys.insert_pending(r.sys, Recycle_Input());
-}
-
-inline void
-Constraint_System::insert(Constraint_System& r, Recycle_Input) {
- sys.insert(r.sys, Recycle_Input());
-}
-
-inline void
-Constraint_System::insert_pending(const Constraint_System& r) {
- sys.insert_pending(r.sys);
-}
-
-inline void
-Constraint_System::merge_rows_assign(const Constraint_System& y) {
- sys.merge_rows_assign(y.sys);
-}
-
-inline void
-Constraint_System::insert(const Constraint_System& y) {
- sys.insert(y.sys);
-}
-
-inline void
-Constraint_System::mark_as_necessarily_closed() {
- sys.mark_as_necessarily_closed();
-}
-
-inline void
-Constraint_System::mark_as_not_necessarily_closed() {
- sys.mark_as_not_necessarily_closed();
-}
-
-inline dimension_type
-Constraint_System::gauss(dimension_type n_lines_or_equalities) {
- return sys.gauss(n_lines_or_equalities);
-}
-
-inline void
-Constraint_System::back_substitute(dimension_type n_lines_or_equalities) {
- sys.back_substitute(n_lines_or_equalities);
-}
-
-inline void
-Constraint_System::assign_with_pending(const Constraint_System& y) {
- sys.assign_with_pending(y.sys);
-}
-
-inline void
-Constraint_System::sort_pending_and_remove_duplicates() {
- sys.sort_pending_and_remove_duplicates();
-}
-
-inline void
-Constraint_System::sort_and_remove_with_sat(Bit_Matrix& sat) {
- sys.sort_and_remove_with_sat(sat);
-}
-
-inline bool
-Constraint_System::check_sorted() const {
- return sys.check_sorted();
-}
-
-inline dimension_type
-Constraint_System::num_lines_or_equalities() const {
- return sys.num_lines_or_equalities();
-}
-
-inline void
-Constraint_System::add_universe_rows_and_space_dimensions(dimension_type n) {
- sys.add_universe_rows_and_space_dimensions(n);
-}
-
-inline bool
-operator==(const Constraint_System& x, const Constraint_System& y) {
- return x.sys == y.sys;
-}
-
-inline bool
-operator!=(const Constraint_System& x, const Constraint_System& y) {
- return !(x == y);
-}
-
-/*! \relates Constraint_System */
-inline void
-swap(Constraint_System& x, Constraint_System& y) {
- x.m_swap(y);
-}
-
-namespace Implementation {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Parma_Polyhedra_Library::Constraint_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-inline dimension_type
-num_constraints(const Constraint_System& cs) {
- return static_cast<dimension_type>(std::distance(cs.begin(), cs.end()));
-}
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Constraint_System_inlines_hh)
diff --git a/src/Constraint_System.types.hh b/src/Constraint_System.types.hh
deleted file mode 100644
index f990cbf..0000000
--- a/src/Constraint_System.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Constraint_System_types_hh
-#define PPL_Constraint_System_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Constraint_System;
-class Constraint_System_const_iterator;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Constraint_System_types_hh)
diff --git a/src/Constraint_System_defs.hh b/src/Constraint_System_defs.hh
new file mode 100644
index 0000000..5a26a2d
--- /dev/null
+++ b/src/Constraint_System_defs.hh
@@ -0,0 +1,687 @@
+/* Constraint_System class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Constraint_System_defs_hh
+#define PPL_Constraint_System_defs_hh 1
+
+#include "Constraint_System_types.hh"
+
+#include "Linear_System_defs.hh"
+#include "Constraint_defs.hh"
+
+#include "Linear_Expression_types.hh"
+#include "Generator_types.hh"
+#include "Constraint_types.hh"
+#include "Congruence_System_types.hh"
+#include "Polyhedron_types.hh"
+#include "termination_types.hh"
+#include <iterator>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Constraint_System
+ Writes <CODE>true</CODE> if \p cs is empty. Otherwise, writes on
+ \p s the constraints of \p cs, all in one row and separated by ", ".
+*/
+std::ostream& operator<<(std::ostream& s, const Constraint_System& cs);
+
+} // namespace IO_Operators
+
+// TODO: Consider removing this.
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates Constraint_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator==(const Constraint_System& x, const Constraint_System& y);
+
+// TODO: Consider removing this.
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Constraint_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator!=(const Constraint_System& x, const Constraint_System& y);
+
+/*! \relates Constraint_System */
+void
+swap(Constraint_System& x, Constraint_System& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A system of constraints.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Constraint_System is a system of constraints,
+ i.e., a multiset of objects of the class Constraint.
+ When inserting constraints in a system, space dimensions are
+ automatically adjusted so that all the constraints in the system
+ are defined on the same vector space.
+
+ \par
+ In all the examples it is assumed that variables
+ <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code builds a system of constraints corresponding to
+ a square in \f$\Rset^2\f$:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x <= 3);
+ cs.insert(y >= 0);
+ cs.insert(y <= 3);
+ \endcode
+ Note that:
+ the constraint system is created with space dimension zero;
+ the first and third constraint insertions increase the space
+ dimension to \f$1\f$ and \f$2\f$, respectively.
+
+ \par Example 2
+ By adding four strict inequalities to the constraint system
+ of the previous example, we can remove just the four
+ vertices from the square defined above.
+ \code
+ cs.insert(x + y > 0);
+ cs.insert(x + y < 6);
+ cs.insert(x - y < 3);
+ cs.insert(y - x < 3);
+ \endcode
+
+ \par Example 3
+ The following code builds a system of constraints corresponding to
+ a half-strip in \f$\Rset^2\f$:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x - y <= 0);
+ cs.insert(x - y + 1 >= 0);
+ \endcode
+
+ \note
+ After inserting a multiset of constraints in a constraint system,
+ there are no guarantees that an <EM>exact</EM> copy of them
+ can be retrieved:
+ in general, only an <EM>equivalent</EM> constraint system
+ will be available, where original constraints may have been
+ reordered, removed (if they are trivial, duplicate or
+ implied by other constraints), linearly combined, etc.
+*/
+class Parma_Polyhedra_Library::Constraint_System {
+public:
+ typedef Constraint row_type;
+
+ static const Representation default_representation = SPARSE;
+
+ //! Default constructor: builds an empty system of constraints.
+ explicit Constraint_System(Representation r = default_representation);
+
+ //! Builds the singleton system containing only constraint \p c.
+ explicit Constraint_System(const Constraint& c,
+ Representation r = default_representation);
+
+ //! Builds a system containing copies of any equalities in \p cgs.
+ explicit Constraint_System(const Congruence_System& cgs,
+ Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ /*!
+ \note The copy will have the same representation as `cs', to make it
+ indistinguishable from `cs'.
+ */
+ Constraint_System(const Constraint_System& cs);
+
+ //! Copy constructor with specified representation.
+ Constraint_System(const Constraint_System& cs, Representation r);
+
+ //! Destructor.
+ ~Constraint_System();
+
+ //! Assignment operator.
+ Constraint_System& operator=(const Constraint_System& y);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Constraint_System can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ void set_space_dimension(dimension_type space_dim);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains one or more equality constraints.
+ */
+ bool has_equalities() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains one or more strict inequality constraints.
+ */
+ bool has_strict_inequalities() const;
+
+ /*! \brief
+ Inserts in \p *this a copy of the constraint \p c,
+ increasing the number of space dimensions if needed.
+ */
+ void insert(const Constraint& c);
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ /*! \brief
+ Returns the singleton system containing only Constraint::zero_dim_false().
+ */
+ static const Constraint_System& zero_dim_empty();
+
+ typedef Constraint_System_const_iterator const_iterator;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this has no constraints.
+ bool empty() const;
+
+ /*! \brief
+ Removes all the constraints from the constraint system
+ and sets its space dimension to 0.
+ */
+ void clear();
+
+ /*! \brief
+ Returns the const_iterator pointing to the first constraint,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const_iterator.
+ const_iterator end() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Constraint_System& y);
+
+private:
+ Linear_System<Constraint> sys;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the singleton system containing only Constraint::zero_dim_false().
+ */
+ static const Constraint_System* zero_dim_empty_p;
+
+ friend class Constraint_System_const_iterator;
+
+ friend bool operator==(const Constraint_System& x,
+ const Constraint_System& y);
+
+ //! Builds an empty system of constraints having the specified topology.
+ explicit Constraint_System(Topology topol,
+ Representation r = default_representation);
+
+ /*! \brief
+ Builds a system of constraints on a \p space_dim dimensional space. If
+ \p topol is <CODE>NOT_NECESSARILY_CLOSED</CODE> the \f$\epsilon\f$
+ dimension is added.
+ */
+ Constraint_System(Topology topol, dimension_type space_dim,
+ Representation r = default_representation);
+
+ //! Returns the number of equality constraints.
+ dimension_type num_equalities() const;
+
+ //! Returns the number of inequality constraints.
+ dimension_type num_inequalities() const;
+
+ /*! \brief
+ Applies Gaussian elimination and back-substitution so as
+ to provide a partial simplification of the system of constraints.
+
+ It is assumed that the system has no pending constraints.
+ */
+ void simplify();
+
+ /*! \brief
+ Adjusts \p *this so that it matches \p new_topology and
+ \p new_space_dim (adding or removing columns if needed).
+ Returns <CODE>false</CODE> if and only if \p topol is
+ equal to <CODE>NECESSARILY_CLOSED</CODE> and \p *this
+ contains strict inequalities.
+ */
+ bool adjust_topology_and_space_dimension(Topology new_topology,
+ dimension_type new_space_dim);
+
+ //! Returns a constant reference to the \p k- th constraint of the system.
+ const Constraint& operator[](dimension_type k) const;
+
+ //! Returns <CODE>true</CODE> if \p g satisfies all the constraints.
+ bool satisfies_all_constraints(const Generator& g) const;
+
+ //! Substitutes a given column of coefficients by a given affine expression.
+ /*!
+ \param v
+ The variable to which the affine transformation is substituted.
+
+ \param expr
+ The numerator of the affine transformation:
+ \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
+
+ \param denominator
+ The denominator of the affine transformation.
+
+ We want to allow affine transformations
+ (see Section \ref Images_and_Preimages_of_Affine_Transfer_Relations)
+ having any rational coefficients. Since the coefficients of the
+ constraints are integers we must also provide an integer \p
+ denominator that will be used as denominator of the affine
+ transformation.
+ The denominator is required to be a positive integer.
+
+ The affine transformation substitutes the matrix of constraints
+ by a new matrix whose elements \f${a'}_{ij}\f$ are built from
+ the old one \f$a_{ij}\f$ as follows:
+ \f[
+ {a'}_{ij} =
+ \begin{cases}
+ a_{ij} * \mathrm{denominator} + a_{iv} * \mathrm{expr}[j]
+ \quad \text{for } j \neq v; \\
+ \mathrm{expr}[v] * a_{iv}
+ \quad \text{for } j = v.
+ \end{cases}
+ \f]
+
+ \p expr is a constant parameter and unaltered by this computation.
+ */
+ void affine_preimage(Variable v,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator);
+
+ /*! \brief
+ Inserts in \p *this a copy of the constraint \p c,
+ increasing the number of space dimensions if needed.
+ It is a pending constraint.
+ */
+ void insert_pending(const Constraint& c);
+
+ //! Adds low-level constraints to the constraint system.
+ void add_low_level_constraints();
+
+ //! Returns the system topology.
+ Topology topology() const;
+
+ dimension_type num_rows() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ the system topology is <CODE>NECESSARILY_CLOSED</CODE>.
+ */
+ bool is_necessarily_closed() const;
+
+ //! Returns the number of rows that are in the pending part of the system.
+ dimension_type num_pending_rows() const;
+
+ //! Returns the index of the first pending row.
+ dimension_type first_pending_row() const;
+
+ //! Returns the value of the sortedness flag.
+ bool is_sorted() const;
+
+ //! Sets the index to indicate that the system has no pending rows.
+ void unset_pending_rows();
+
+ //! Sets the index of the first pending row to \p i.
+ void set_index_first_pending_row(dimension_type i);
+
+ //! Sets the sortedness flag of the system to \p b.
+ void set_sorted(bool b);
+
+ //! Makes the system shrink by removing its i-th row.
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(n).
+
+ Otherwise, this method just swaps the i-th row with the last and then
+ removes it, so it costs O(1).
+ */
+ void remove_row(dimension_type i, bool keep_sorted = false);
+
+ //! Removes the specified rows. The row ordering of remaining rows is
+ //! preserved.
+ /*!
+ \param indexes specifies a list of row indexes.
+ It must be sorted.
+ */
+ void remove_rows(const std::vector<dimension_type>& indexes);
+
+ //! Makes the system shrink by removing the rows in [first,last).
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(num_rows()).
+
+ Otherwise, this method just swaps the rows with the last ones and then
+ removes them, so it costs O(last - first).
+ */
+ void remove_rows(dimension_type first, dimension_type last,
+ bool keep_sorted = false);
+
+ //! Makes the system shrink by removing its \p n trailing rows.
+ void remove_trailing_rows(dimension_type n);
+
+ //! Removes all the specified dimensions from the constraint system.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Permutes the space dimensions of the matrix.
+ /*
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ columns must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ bool has_no_rows() const;
+
+ //! Strongly normalizes the system.
+ void strong_normalize();
+
+ /*! \brief
+ Sorts the non-pending rows (in growing order) and eliminates
+ duplicated ones.
+ */
+ void sort_rows();
+
+ /*! \brief
+ Adds the given row to the pending part of the system, stealing its
+ contents and automatically resizing the system or the row, if needed.
+ */
+ void insert_pending(Constraint& r, Recycle_Input);
+
+ //! Adds the rows of `y' to the pending part of `*this', stealing them from
+ //! `y'.
+ void insert_pending(Constraint_System& r, Recycle_Input);
+
+ /*! \brief
+ Adds \p r to the system, stealing its contents and
+ automatically resizing the system or the row, if needed.
+ */
+ void insert(Constraint& r, Recycle_Input);
+
+ //! Adds to \p *this a the rows of `y', stealing them from `y'.
+ /*!
+ It is assumed that \p *this has no pending rows.
+ */
+ void insert(Constraint_System& r, Recycle_Input);
+
+ //! Adds a copy of the rows of `y' to the pending part of `*this'.
+ void insert_pending(const Constraint_System& r);
+
+ /*! \brief
+ Assigns to \p *this the result of merging its rows with
+ those of \p y, obtaining a sorted system.
+
+ Duplicated rows will occur only once in the result.
+ On entry, both systems are assumed to be sorted and have
+ no pending rows.
+ */
+ void merge_rows_assign(const Constraint_System& y);
+
+ //! Adds to \p *this a copy of the rows of \p y.
+ /*!
+ It is assumed that \p *this has no pending rows.
+ */
+ void insert(const Constraint_System& y);
+
+ //! Marks the epsilon dimension as a standard dimension.
+ /*!
+ The system topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is increased by 1.
+ */
+ void mark_as_necessarily_closed();
+
+ //! Marks the last dimension as the epsilon dimension.
+ /*!
+ The system topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is decreased by 1.
+ */
+ void mark_as_not_necessarily_closed();
+
+ //! Minimizes the subsystem of equations contained in \p *this.
+ /*!
+ This method works only on the equalities of the system:
+ the system is required to be partially sorted, so that
+ all the equalities are grouped at its top; it is assumed that
+ the number of equalities is exactly \p n_lines_or_equalities.
+ The method finds a minimal system for the equalities and
+ returns its rank, i.e., the number of linearly independent equalities.
+ The result is an upper triangular subsystem of equalities:
+ for each equality, the pivot is chosen starting from
+ the right-most columns.
+ */
+ dimension_type gauss(dimension_type n_lines_or_equalities);
+
+ /*! \brief
+ Back-substitutes the coefficients to reduce
+ the complexity of the system.
+
+ Takes an upper triangular system having \p n_lines_or_equalities rows.
+ For each row, starting from the one having the minimum number of
+ coefficients different from zero, computes the expression of an element
+ as a function of the remaining ones and then substitutes this expression
+ in all the other rows.
+ */
+ void back_substitute(dimension_type n_lines_or_equalities);
+
+ //! Full assignment operator: pending rows are copied as pending.
+ void assign_with_pending(const Constraint_System& y);
+
+ /*! \brief
+ Sorts the pending rows and eliminates those that also occur
+ in the non-pending part of the system.
+ */
+ void sort_pending_and_remove_duplicates();
+
+ /*! \brief
+ Sorts the system, removing duplicates, keeping the saturation
+ matrix consistent.
+
+ \param sat
+ Bit matrix with rows corresponding to the rows of \p *this.
+ */
+ void sort_and_remove_with_sat(Bit_Matrix& sat);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is sorted,
+ without checking for duplicates.
+ */
+ bool check_sorted() const;
+
+ /*! \brief
+ Returns the number of rows in the system
+ that represent either lines or equalities.
+ */
+ dimension_type num_lines_or_equalities() const;
+
+ //! Adds \p n rows and space dimensions to the system.
+ /*!
+ \param n
+ The number of rows and space dimensions to be added: must be strictly
+ positive.
+
+ Turns the system \f$M \in \Rset^r \times \Rset^c\f$ into
+ the system \f$N \in \Rset^{r+n} \times \Rset^{c+n}\f$
+ such that
+ \f$N = \bigl(\genfrac{}{}{0pt}{}{0}{M}\genfrac{}{}{0pt}{}{J}{o}\bigr)\f$,
+ where \f$J\f$ is the specular image
+ of the \f$n \times n\f$ identity matrix.
+ */
+ void add_universe_rows_and_space_dimensions(dimension_type n);
+
+ friend class Polyhedron;
+ friend class Termination_Helpers;
+};
+
+//! An iterator over a system of constraints.
+/*! \ingroup PPL_CXX_interface
+ A const_iterator is used to provide read-only access
+ to each constraint contained in a Constraint_System object.
+
+ \par Example
+ The following code prints the system of constraints
+ defining the polyhedron <CODE>ph</CODE>:
+ \code
+const Constraint_System& cs = ph.constraints();
+for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); i != cs_end; ++i)
+ cout << *i << endl;
+ \endcode
+*/
+// NOTE: This is not an inner class of Constraint_System, so Constraint can
+// declare that this class is his friend without including this file
+// (the .types.hh file suffices).
+class Parma_Polyhedra_Library::Constraint_System_const_iterator
+ : public std::iterator<std::forward_iterator_tag,
+ Constraint,
+ ptrdiff_t,
+ const Constraint*,
+ const Constraint&> {
+public:
+ //! Default constructor.
+ Constraint_System_const_iterator();
+
+ //! Ordinary copy constructor.
+ Constraint_System_const_iterator(const Constraint_System_const_iterator& y);
+
+ //! Destructor.
+ ~Constraint_System_const_iterator();
+
+ //! Assignment operator.
+ Constraint_System_const_iterator&
+ operator=(const Constraint_System_const_iterator& y);
+
+ //! Dereference operator.
+ const Constraint& operator*() const;
+
+ //! Indirect member selector.
+ const Constraint* operator->() const;
+
+ //! Prefix increment operator.
+ Constraint_System_const_iterator& operator++();
+
+ //! Postfix increment operator.
+ Constraint_System_const_iterator operator++(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are identical.
+ */
+ bool operator==(const Constraint_System_const_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are different.
+ */
+ bool operator!=(const Constraint_System_const_iterator& y) const;
+
+private:
+ friend class Constraint_System;
+
+ //! The const iterator over the matrix of constraints.
+ Linear_System<Constraint>::const_iterator i;
+
+ //! A const pointer to the matrix of constraints.
+ const Linear_System<Constraint>* csp;
+
+ //! Constructor.
+ Constraint_System_const_iterator(const Linear_System<Constraint>
+ ::const_iterator& iter,
+ const Constraint_System& cs);
+
+ //! \p *this skips to the next non-trivial constraint.
+ void skip_forward();
+};
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Helper returning number of constraints in system.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+dimension_type
+num_constraints(const Constraint_System& cs);
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+// Constraint_System_inlines.hh is not included here on purpose.
+
+#endif // !defined(PPL_Constraint_System_defs_hh)
diff --git a/src/Constraint_System_inlines.hh b/src/Constraint_System_inlines.hh
new file mode 100644
index 0000000..7a23d6b
--- /dev/null
+++ b/src/Constraint_System_inlines.hh
@@ -0,0 +1,439 @@
+/* Constraint_System class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Constraint_System_inlines_hh
+#define PPL_Constraint_System_inlines_hh 1
+
+#include "Constraint_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Constraint_System::Constraint_System(Representation r)
+ : sys(NECESSARILY_CLOSED, r) {
+}
+
+inline
+Constraint_System::Constraint_System(const Constraint& c, Representation r)
+ : sys(c.topology(), r) {
+ sys.insert(c);
+}
+
+inline
+Constraint_System::Constraint_System(const Constraint_System& cs)
+ : sys(cs.sys) {
+}
+
+inline
+Constraint_System::Constraint_System(const Constraint_System& cs,
+ Representation r)
+ : sys(cs.sys, r) {
+}
+
+inline
+Constraint_System::Constraint_System(const Topology topol, Representation r)
+ : sys(topol, r) {
+}
+
+inline
+Constraint_System::Constraint_System(const Topology topol,
+ const dimension_type space_dim,
+ Representation r)
+ : sys(topol, space_dim, r) {
+}
+
+inline
+Constraint_System::~Constraint_System() {
+}
+
+inline Constraint_System&
+Constraint_System::operator=(const Constraint_System& y) {
+ Constraint_System tmp = y;
+ swap(*this, tmp);
+ return *this;
+}
+
+inline const Constraint&
+Constraint_System::operator[](const dimension_type k) const {
+ return sys[k];
+}
+
+inline Representation
+Constraint_System::representation() const {
+ return sys.representation();
+}
+
+inline void
+Constraint_System::set_representation(Representation r) {
+ sys.set_representation(r);
+}
+
+inline dimension_type
+Constraint_System::max_space_dimension() {
+ return Linear_System<Constraint>::max_space_dimension();
+}
+
+inline dimension_type
+Constraint_System::space_dimension() const {
+ return sys.space_dimension();
+}
+
+inline void
+Constraint_System::set_space_dimension(dimension_type space_dim) {
+ return sys.set_space_dimension(space_dim);
+}
+
+inline void
+Constraint_System::clear() {
+ sys.clear();
+}
+
+inline const Constraint_System&
+Constraint_System::zero_dim_empty() {
+ PPL_ASSERT(zero_dim_empty_p != 0);
+ return *zero_dim_empty_p;
+}
+
+inline
+Constraint_System_const_iterator::Constraint_System_const_iterator()
+ : i(), csp(0) {
+}
+
+inline
+Constraint_System_const_iterator::Constraint_System_const_iterator(const Constraint_System_const_iterator& y)
+ : i(y.i), csp(y.csp) {
+}
+
+inline
+Constraint_System_const_iterator::~Constraint_System_const_iterator() {
+}
+
+inline Constraint_System_const_iterator&
+Constraint_System_const_iterator::operator=(const Constraint_System_const_iterator& y) {
+ i = y.i;
+ csp = y.csp;
+ return *this;
+}
+
+inline const Constraint&
+Constraint_System_const_iterator::operator*() const {
+ return *i;
+}
+
+inline const Constraint*
+Constraint_System_const_iterator::operator->() const {
+ return i.operator->();
+}
+
+inline Constraint_System_const_iterator&
+Constraint_System_const_iterator::operator++() {
+ ++i;
+ skip_forward();
+ return *this;
+}
+
+inline Constraint_System_const_iterator
+Constraint_System_const_iterator::operator++(int) {
+ const Constraint_System_const_iterator tmp = *this;
+ operator++();
+ return tmp;
+}
+
+inline bool
+Constraint_System_const_iterator::operator==(const Constraint_System_const_iterator& y) const {
+ return i == y.i;
+}
+
+inline bool
+Constraint_System_const_iterator::operator!=(const Constraint_System_const_iterator& y) const {
+ return i != y.i;
+}
+
+inline
+Constraint_System_const_iterator::
+Constraint_System_const_iterator(const Linear_System<Constraint>::const_iterator& iter,
+ const Constraint_System& cs)
+ : i(iter), csp(&cs.sys) {
+}
+
+inline Constraint_System_const_iterator
+Constraint_System::begin() const {
+ const_iterator i(sys.begin(), *this);
+ i.skip_forward();
+ return i;
+}
+
+inline Constraint_System_const_iterator
+Constraint_System::end() const {
+ const Constraint_System_const_iterator i(sys.end(), *this);
+ return i;
+}
+
+inline bool
+Constraint_System::empty() const {
+ return begin() == end();
+}
+
+inline void
+Constraint_System::add_low_level_constraints() {
+ if (sys.is_necessarily_closed())
+ // The positivity constraint.
+ insert(Constraint::zero_dim_positivity());
+ else {
+ // Add the epsilon constraints.
+ insert(Constraint::epsilon_leq_one());
+ insert(Constraint::epsilon_geq_zero());
+ }
+}
+
+inline void
+Constraint_System::m_swap(Constraint_System& y) {
+ swap(sys, y.sys);
+}
+
+inline memory_size_type
+Constraint_System::external_memory_in_bytes() const {
+ return sys.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Constraint_System::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+inline void
+Constraint_System::simplify() {
+ sys.simplify();
+}
+
+inline Topology
+Constraint_System::topology() const {
+ return sys.topology();
+}
+
+inline dimension_type
+Constraint_System::num_rows() const {
+ return sys.num_rows();
+}
+
+inline bool
+Constraint_System::is_necessarily_closed() const {
+ return sys.is_necessarily_closed();
+}
+
+inline dimension_type
+Constraint_System::num_pending_rows() const {
+ return sys.num_pending_rows();
+}
+
+inline dimension_type
+Constraint_System::first_pending_row() const {
+ return sys.first_pending_row();
+}
+
+inline bool
+Constraint_System::is_sorted() const {
+ return sys.is_sorted();
+}
+
+inline void
+Constraint_System::unset_pending_rows() {
+ sys.unset_pending_rows();
+}
+
+inline void
+Constraint_System::set_index_first_pending_row(dimension_type i) {
+ sys.set_index_first_pending_row(i);
+}
+
+inline void
+Constraint_System::set_sorted(bool b) {
+ sys.set_sorted(b);
+}
+
+inline void
+Constraint_System::remove_row(dimension_type i, bool keep_sorted) {
+ sys.remove_row(i, keep_sorted);
+}
+
+inline void
+Constraint_System::remove_rows(dimension_type first, dimension_type last,
+ bool keep_sorted) {
+ sys.remove_rows(first, last, keep_sorted);
+}
+
+inline void
+Constraint_System::remove_rows(const std::vector<dimension_type>& indexes) {
+ sys.remove_rows(indexes);
+}
+
+inline void
+Constraint_System::remove_trailing_rows(dimension_type n) {
+ sys.remove_trailing_rows(n);
+}
+
+inline void
+Constraint_System
+::remove_space_dimensions(const Variables_Set& vars) {
+ sys.remove_space_dimensions(vars);
+}
+
+inline void
+Constraint_System
+::shift_space_dimensions(Variable v, dimension_type n) {
+ sys.shift_space_dimensions(v, n);
+}
+
+inline void
+Constraint_System
+::permute_space_dimensions(const std::vector<Variable>& cycle) {
+ sys.permute_space_dimensions(cycle);
+}
+
+inline void
+Constraint_System
+::swap_space_dimensions(Variable v1, Variable v2) {
+ sys.swap_space_dimensions(v1, v2);
+}
+
+inline bool
+Constraint_System::has_no_rows() const {
+ return sys.has_no_rows();
+}
+
+inline void
+Constraint_System::strong_normalize() {
+ sys.strong_normalize();
+}
+
+inline void
+Constraint_System::sort_rows() {
+ sys.sort_rows();
+}
+
+inline void
+Constraint_System::insert_pending(Constraint_System& r, Recycle_Input) {
+ sys.insert_pending(r.sys, Recycle_Input());
+}
+
+inline void
+Constraint_System::insert(Constraint_System& r, Recycle_Input) {
+ sys.insert(r.sys, Recycle_Input());
+}
+
+inline void
+Constraint_System::insert_pending(const Constraint_System& r) {
+ sys.insert_pending(r.sys);
+}
+
+inline void
+Constraint_System::merge_rows_assign(const Constraint_System& y) {
+ sys.merge_rows_assign(y.sys);
+}
+
+inline void
+Constraint_System::insert(const Constraint_System& y) {
+ sys.insert(y.sys);
+}
+
+inline void
+Constraint_System::mark_as_necessarily_closed() {
+ sys.mark_as_necessarily_closed();
+}
+
+inline void
+Constraint_System::mark_as_not_necessarily_closed() {
+ sys.mark_as_not_necessarily_closed();
+}
+
+inline dimension_type
+Constraint_System::gauss(dimension_type n_lines_or_equalities) {
+ return sys.gauss(n_lines_or_equalities);
+}
+
+inline void
+Constraint_System::back_substitute(dimension_type n_lines_or_equalities) {
+ sys.back_substitute(n_lines_or_equalities);
+}
+
+inline void
+Constraint_System::assign_with_pending(const Constraint_System& y) {
+ sys.assign_with_pending(y.sys);
+}
+
+inline void
+Constraint_System::sort_pending_and_remove_duplicates() {
+ sys.sort_pending_and_remove_duplicates();
+}
+
+inline void
+Constraint_System::sort_and_remove_with_sat(Bit_Matrix& sat) {
+ sys.sort_and_remove_with_sat(sat);
+}
+
+inline bool
+Constraint_System::check_sorted() const {
+ return sys.check_sorted();
+}
+
+inline dimension_type
+Constraint_System::num_lines_or_equalities() const {
+ return sys.num_lines_or_equalities();
+}
+
+inline void
+Constraint_System::add_universe_rows_and_space_dimensions(dimension_type n) {
+ sys.add_universe_rows_and_space_dimensions(n);
+}
+
+inline bool
+operator==(const Constraint_System& x, const Constraint_System& y) {
+ return x.sys == y.sys;
+}
+
+inline bool
+operator!=(const Constraint_System& x, const Constraint_System& y) {
+ return !(x == y);
+}
+
+/*! \relates Constraint_System */
+inline void
+swap(Constraint_System& x, Constraint_System& y) {
+ x.m_swap(y);
+}
+
+namespace Implementation {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Parma_Polyhedra_Library::Constraint_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+inline dimension_type
+num_constraints(const Constraint_System& cs) {
+ return static_cast<dimension_type>(std::distance(cs.begin(), cs.end()));
+}
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Constraint_System_inlines_hh)
diff --git a/src/Constraint_System_types.hh b/src/Constraint_System_types.hh
new file mode 100644
index 0000000..7e947e8
--- /dev/null
+++ b/src/Constraint_System_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Constraint_System_types_hh
+#define PPL_Constraint_System_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Constraint_System;
+class Constraint_System_const_iterator;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Constraint_System_types_hh)
diff --git a/src/Constraint_defs.hh b/src/Constraint_defs.hh
new file mode 100644
index 0000000..aedfa5b
--- /dev/null
+++ b/src/Constraint_defs.hh
@@ -0,0 +1,836 @@
+/* Constraint class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Constraint_defs_hh
+#define PPL_Constraint_defs_hh 1
+
+#include "Constraint_types.hh"
+
+#include "Congruence_types.hh"
+#include "Variables_Set_types.hh"
+#include "Polyhedron_types.hh"
+#include "termination_types.hh"
+#include "Octagonal_Shape_types.hh"
+#include "Grid_types.hh"
+
+#include "Linear_Expression_defs.hh"
+#include "Variable_defs.hh"
+#include "Topology_types.hh"
+#include "Expression_Hide_Last_defs.hh"
+
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+//! Returns the constraint \p e1 \< \p e2.
+/*! \relates Constraint */
+Constraint
+operator<(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the constraint \p v1 \< \p v2.
+/*! \relates Constraint */
+Constraint
+operator<(Variable v1, Variable v2);
+
+//! Returns the constraint \p e \< \p n.
+/*! \relates Constraint */
+Constraint
+operator<(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the constraint \p n \< \p e.
+/*! \relates Constraint */
+Constraint
+operator<(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the constraint \p e1 \> \p e2.
+/*! \relates Constraint */
+Constraint
+operator>(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the constraint \p v1 \> \p v2.
+/*! \relates Constraint */
+Constraint
+operator>(Variable v1, Variable v2);
+
+//! Returns the constraint \p e \> \p n.
+/*! \relates Constraint */
+Constraint
+operator>(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the constraint \p n \> \p e.
+/*! \relates Constraint */
+Constraint
+operator>(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the constraint \p e1 = \p e2.
+/*! \relates Constraint */
+Constraint
+operator==(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the constraint \p v1 = \p v2.
+/*! \relates Constraint */
+Constraint
+operator==(Variable v1, Variable v2);
+
+//! Returns the constraint \p e = \p n.
+/*! \relates Constraint */
+Constraint
+operator==(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the constraint \p n = \p e.
+/*! \relates Constraint */
+Constraint
+operator==(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the constraint \p e1 \<= \p e2.
+/*! \relates Constraint */
+Constraint
+operator<=(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the constraint \p v1 \<= \p v2.
+/*! \relates Constraint */
+Constraint
+operator<=(Variable v1, Variable v2);
+
+//! Returns the constraint \p e \<= \p n.
+/*! \relates Constraint */
+Constraint
+operator<=(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the constraint \p n \<= \p e.
+/*! \relates Constraint */
+Constraint
+operator<=(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the constraint \p e1 \>= \p e2.
+/*! \relates Constraint */
+Constraint
+operator>=(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the constraint \p v1 \>= \p v2.
+/*! \relates Constraint */
+Constraint
+operator>=(Variable v1, Variable v2);
+
+//! Returns the constraint \p e \>= \p n.
+/*! \relates Constraint */
+Constraint
+operator>=(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the constraint \p n \>= \p e.
+/*! \relates Constraint */
+Constraint
+operator>=(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The basic comparison function.
+/*! \relates Constraint
+ \return
+ The returned absolute value can be \f$0\f$, \f$1\f$ or \f$2\f$.
+
+ \param x
+ A row of coefficients;
+
+ \param y
+ Another row.
+
+ Compares \p x and \p y, where \p x and \p y may be of different size,
+ in which case the "missing" coefficients are assumed to be zero.
+ The comparison is such that:
+ -# equalities are smaller than inequalities;
+ -# lines are smaller than points and rays;
+ -# the ordering is lexicographic;
+ -# the positions compared are, in decreasing order of significance,
+ 1, 2, ..., \p size(), 0;
+ -# the result is negative, zero, or positive if x is smaller than,
+ equal to, or greater than y, respectively;
+ -# when \p x and \p y are different, the absolute value of the
+ result is 1 if the difference is due to the coefficient in
+ position 0; it is 2 otherwise.
+
+ When \p x and \p y represent the hyper-planes associated
+ to two equality or inequality constraints, the coefficient
+ at 0 is the known term.
+ In this case, the return value can be characterized as follows:
+ - -2, if \p x is smaller than \p y and they are \e not parallel;
+ - -1, if \p x is smaller than \p y and they \e are parallel;
+ - 0, if \p x and y are equal;
+ - +1, if \p y is smaller than \p x and they \e are parallel;
+ - +2, if \p y is smaller than \p x and they are \e not parallel.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+int compare(const Constraint& x, const Constraint& y);
+
+}
+
+//! A linear equality or inequality.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Constraint is either:
+ - an equality: \f$\sum_{i=0}^{n-1} a_i x_i + b = 0\f$;
+ - a non-strict inequality: \f$\sum_{i=0}^{n-1} a_i x_i + b \geq 0\f$; or
+ - a strict inequality: \f$\sum_{i=0}^{n-1} a_i x_i + b > 0\f$;
+
+ where \f$n\f$ is the dimension of the space,
+ \f$a_i\f$ is the integer coefficient of variable \f$x_i\f$
+ and \f$b\f$ is the integer inhomogeneous term.
+
+ \par How to build a constraint
+ Constraints are typically built by applying a relation symbol
+ to a pair of linear expressions.
+ Available relation symbols are equality (<CODE>==</CODE>),
+ non-strict inequalities (<CODE>\>=</CODE> and <CODE>\<=</CODE>) and
+ strict inequalities (<CODE>\<</CODE> and <CODE>\></CODE>).
+ The space dimension of a constraint is defined as the maximum
+ space dimension of the arguments of its constructor.
+
+ \par
+ In the following examples it is assumed that variables
+ <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
+ are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(2);
+ \endcode
+
+ \par Example 1
+ The following code builds the equality constraint
+ \f$3x + 5y - z = 0\f$, having space dimension \f$3\f$:
+ \code
+ Constraint eq_c(3*x + 5*y - z == 0);
+ \endcode
+ The following code builds the (non-strict) inequality constraint
+ \f$4x \geq 2y - 13\f$, having space dimension \f$2\f$:
+ \code
+ Constraint ineq_c(4*x >= 2*y - 13);
+ \endcode
+ The corresponding strict inequality constraint
+ \f$4x > 2y - 13\f$ is obtained as follows:
+ \code
+ Constraint strict_ineq_c(4*x > 2*y - 13);
+ \endcode
+ An unsatisfiable constraint on the zero-dimension space \f$\Rset^0\f$
+ can be specified as follows:
+ \code
+ Constraint false_c = Constraint::zero_dim_false();
+ \endcode
+ Equivalent, but more involved ways are the following:
+ \code
+ Constraint false_c1(Linear_Expression::zero() == 1);
+ Constraint false_c2(Linear_Expression::zero() >= 1);
+ Constraint false_c3(Linear_Expression::zero() > 0);
+ \endcode
+ In contrast, the following code defines an unsatisfiable constraint
+ having space dimension \f$3\f$:
+ \code
+ Constraint false_c(0*z == 1);
+ \endcode
+
+ \par How to inspect a constraint
+ Several methods are provided to examine a constraint and extract
+ all the encoded information: its space dimension, its type
+ (equality, non-strict inequality, strict inequality) and
+ the value of its integer coefficients.
+
+ \par Example 2
+ The following code shows how it is possible to access each single
+ coefficient of a constraint. Given an inequality constraint
+ (in this case \f$x - 5y + 3z \leq 4\f$), we construct a new constraint
+ corresponding to its complement (thus, in this case we want to obtain
+ the strict inequality constraint \f$x - 5y + 3z > 4\f$).
+ \code
+ Constraint c1(x - 5*y + 3*z <= 4);
+ cout << "Constraint c1: " << c1 << endl;
+ if (c1.is_equality())
+ cout << "Constraint c1 is not an inequality." << endl;
+ else {
+ Linear_Expression e;
+ for (dimension_type i = c1.space_dimension(); i-- > 0; )
+ e += c1.coefficient(Variable(i)) * Variable(i);
+ e += c1.inhomogeneous_term();
+ Constraint c2 = c1.is_strict_inequality() ? (e <= 0) : (e < 0);
+ cout << "Complement c2: " << c2 << endl;
+ }
+ \endcode
+ The actual output is the following:
+ \code
+ Constraint c1: -A + 5*B - 3*C >= -4
+ Complement c2: A - 5*B + 3*C > 4
+ \endcode
+ Note that, in general, the particular output obtained can be
+ syntactically different from the (semantically equivalent)
+ constraint considered.
+*/
+class Parma_Polyhedra_Library::Constraint {
+public:
+
+ //! The constraint type.
+ enum Type {
+ /*! The constraint is an equality. */
+ EQUALITY,
+ /*! The constraint is a non-strict inequality. */
+ NONSTRICT_INEQUALITY,
+ /*! The constraint is a strict inequality. */
+ STRICT_INEQUALITY
+ };
+
+ //! The representation used for new Constraints.
+ /*!
+ \note The copy constructor and the copy constructor with specified size
+ use the representation of the original object, so that it is
+ indistinguishable from the original object.
+ */
+ static const Representation default_representation = SPARSE;
+
+ //! Constructs the \f$0<=0\f$ constraint.
+ explicit Constraint(Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ /*!
+ \note The new Constraint will have the same representation as `c',
+ not default_representation, so that they are indistinguishable.
+ */
+ Constraint(const Constraint& c);
+
+ //! Copy constructor with given size.
+ /*!
+ \note The new Constraint will have the same representation as `c',
+ not default_representation, so that they are indistinguishable.
+ */
+ Constraint(const Constraint& c, dimension_type space_dim);
+
+ //! Copy constructor with given representation.
+ Constraint(const Constraint& c, Representation r);
+
+ //! Copy constructor with given size and representation.
+ Constraint(const Constraint& c, dimension_type space_dim,
+ Representation r);
+
+ //! Copy-constructs from equality congruence \p cg.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p cg is a proper congruence.
+ */
+ explicit Constraint(const Congruence& cg,
+ Representation r = default_representation);
+
+ //! Destructor.
+ ~Constraint();
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Assignment operator.
+ Constraint& operator=(const Constraint& c);
+
+ //! Returns the maximum space dimension a Constraint can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Sets the dimension of the vector space enclosing \p *this to
+ //! \p space_dim .
+ void set_space_dimension(dimension_type space_dim);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Removes all the specified dimensions from the constraint.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+
+ Always returns \p true. The return value is needed for compatibility with
+ the Generator class.
+ */
+ bool remove_space_dimensions(const Variables_Set& vars);
+
+ //! Permutes the space dimensions of the constraint.
+ /*
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Returns the constraint type of \p *this.
+ Type type() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is an equality constraint.
+ */
+ bool is_equality() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is an inequality constraint (either strict or non-strict).
+ */
+ bool is_inequality() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is a non-strict inequality constraint.
+ */
+ bool is_nonstrict_inequality() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is a strict inequality constraint.
+ */
+ bool is_strict_inequality() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ /*!
+ \exception std::invalid_argument thrown if the index of \p v
+ is greater than or equal to the space dimension of \p *this.
+ */
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns the inhomogeneous term of \p *this.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ //! The unsatisfiable (zero-dimension space) constraint \f$0 = 1\f$.
+ static const Constraint& zero_dim_false();
+
+ /*! \brief
+ The true (zero-dimension space) constraint \f$0 \leq 1\f$,
+ also known as <EM>positivity constraint</EM>.
+ */
+ static const Constraint& zero_dim_positivity();
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is a tautology (i.e., an always true constraint).
+
+ A tautology can have either one of the following forms:
+ - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + 0 = 0\f$; or
+ - a non-strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b \geq 0\f$,
+ where \f$b \geq 0\f$; or
+ - a strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b > 0\f$,
+ where \f$b > 0\f$.
+ */
+ bool is_tautological() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this is inconsistent (i.e., an always false constraint).
+
+ An inconsistent constraint can have either one of the following forms:
+ - an equality: \f$\sum_{i=0}^{n-1} 0 x_i + b = 0\f$,
+ where \f$b \neq 0\f$; or
+ - a non-strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b \geq 0\f$,
+ where \f$b < 0\f$; or
+ - a strict inequality: \f$\sum_{i=0}^{n-1} 0 x_i + b > 0\f$,
+ where \f$b \leq 0\f$.
+ */
+ bool is_inconsistent() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y
+ are equivalent constraints.
+
+ Constraints having different space dimensions are not equivalent.
+ Note that constraints having different types may nonetheless be
+ equivalent, if they both are tautologies or inconsistent.
+ */
+ bool is_equivalent_to(const Constraint& y) const;
+
+ //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
+ /*!
+ This is faster than is_equivalent_to(), but it may return `false' even
+ for equivalent constraints.
+ */
+ bool is_equal_to(const Constraint& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Constraint& y);
+
+ //! Returns the zero-dimension space constraint \f$\epsilon \geq 0\f$.
+ static const Constraint& epsilon_geq_zero();
+
+ /*! \brief
+ The zero-dimension space constraint \f$\epsilon \leq 1\f$
+ (used to implement NNC polyhedra).
+ */
+ static const Constraint& epsilon_leq_one();
+
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Hide_Last<Linear_Expression> expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
+
+private:
+
+ //! The possible kinds of Constraint objects.
+ enum Kind {
+ LINE_OR_EQUALITY = 0,
+ RAY_OR_POINT_OR_INEQUALITY = 1
+ };
+
+ Linear_Expression expr;
+
+ Kind kind_;
+
+ Topology topology_;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the unsatisfiable (zero-dimension space) constraint \f$0 = 1\f$.
+ */
+ static const Constraint* zero_dim_false_p;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the true (zero-dimension space) constraint \f$0 \leq 1\f$, also
+ known as <EM>positivity constraint</EM>.
+ */
+ static const Constraint* zero_dim_positivity_p;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the zero-dimension space constraint \f$\epsilon \geq 0\f$.
+ */
+ static const Constraint* epsilon_geq_zero_p;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the zero-dimension space constraint \f$\epsilon \leq 1\f$
+ (used to implement NNC polyhedra).
+ */
+ static const Constraint* epsilon_leq_one_p;
+
+ //! Constructs the \f$0<0\f$ constraint.
+ Constraint(dimension_type space_dim, Kind kind, Topology topology,
+ Representation r = default_representation);
+
+ /*! \brief
+ Builds a constraint of kind \p kind and topology \p topology,
+ stealing the coefficients from \p e.
+
+ \note The new Constraint will have the same representation as `e'.
+ */
+ Constraint(Linear_Expression& e, Kind kind, Topology topology);
+
+ /*! \brief
+ Builds a constraint of type \p type and topology \p topology,
+ stealing the coefficients from \p e.
+
+ \note The new Constraint will have the same representation as `e'.
+ */
+ Constraint(Linear_Expression& e, Type type, Topology topology);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row
+ represents a line or an equality.
+ */
+ bool is_line_or_equality() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row
+ represents a ray, a point or an inequality.
+ */
+ bool is_ray_or_point_or_inequality() const;
+
+ //! Sets to \p LINE_OR_EQUALITY the kind of \p *this row.
+ void set_is_line_or_equality();
+
+ //! Sets to \p RAY_OR_POINT_OR_INEQUALITY the kind of \p *this row.
+ void set_is_ray_or_point_or_inequality();
+
+ //! \name Flags inspection methods
+ //@{
+ //! Returns the topological kind of \p *this.
+ Topology topology() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the topology
+ of \p *this row is not necessarily closed.
+ */
+ bool is_not_necessarily_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the topology
+ of \p *this row is necessarily closed.
+ */
+ bool is_necessarily_closed() const;
+ //@} // Flags inspection methods
+
+ //! \name Flags coercion methods
+ //@{
+
+ // TODO: Consider setting the epsilon dimension in this method.
+ //! Sets to \p x the topological kind of \p *this row.
+ void set_topology(Topology x);
+
+ //! Sets to \p NECESSARILY_CLOSED the topological kind of \p *this row.
+ void set_necessarily_closed();
+
+ //! Sets to \p NOT_NECESSARILY_CLOSED the topological kind of \p *this row.
+ void set_not_necessarily_closed();
+ //@} // Flags coercion methods
+
+ //! Sets the dimension of the vector space enclosing \p *this to
+ //! \p space_dim .
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ /*!
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid objects.
+ */
+ void set_space_dimension_no_ok(dimension_type space_dim);
+
+ /*! \brief
+ Throws a <CODE>std::invalid_argument</CODE> exception containing
+ error message \p message.
+ */
+ void
+ throw_invalid_argument(const char* method, const char* message) const;
+
+ /*! \brief
+ Throws a <CODE>std::invalid_argument</CODE> exception
+ containing the appropriate error message.
+ */
+ void
+ throw_dimension_incompatible(const char* method,
+ const char* name_var,
+ Variable v) const;
+
+ //! Returns the epsilon coefficient. The constraint must be NNC.
+ Coefficient_traits::const_reference epsilon_coefficient() const;
+
+ //! Sets the epsilon coefficient to \p n. The constraint must be NNC.
+ void set_epsilon_coefficient(Coefficient_traits::const_reference n);
+
+ //! Marks the epsilon dimension as a standard dimension.
+ /*!
+ The row topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is increased by 1.
+ */
+ void mark_as_necessarily_closed();
+
+ //! Marks the last dimension as the epsilon dimension.
+ /*!
+ The row topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is decreased by 1.
+ */
+ void mark_as_not_necessarily_closed();
+
+ //! Sets the constraint type to <CODE>EQUALITY</CODE>.
+ void set_is_equality();
+
+ //! Sets the constraint to be an inequality.
+ /*!
+ Whether the constraint type will become <CODE>NONSTRICT_INEQUALITY</CODE>
+ or <CODE>STRICT_INEQUALITY</CODE> depends on the topology and the value
+ of the low-level coefficients of the constraint.
+ */
+ void set_is_inequality();
+
+ //! Linearly combines \p *this with \p y so that i-th coefficient is 0.
+ /*!
+ \param y
+ The Constraint that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting Constraint to \p *this and normalizes it.
+ */
+ void linear_combine(const Constraint& y, dimension_type i);
+
+ /*! \brief
+ Normalizes the sign of the coefficients so that the first non-zero
+ (homogeneous) coefficient of a line-or-equality is positive.
+ */
+ void sign_normalize();
+
+ /*! \brief
+ Strong normalization: ensures that different Constraint objects
+ represent different hyperplanes or hyperspaces.
+
+ Applies both Constraint::normalize() and Constraint::sign_normalize().
+ */
+ void strong_normalize();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the coefficients are
+ strongly normalized.
+ */
+ bool check_strong_normalized() const;
+
+ /*! \brief
+ Builds a new copy of the zero-dimension space constraint
+ \f$\epsilon \geq 0\f$ (used to implement NNC polyhedra).
+ */
+ static Constraint construct_epsilon_geq_zero();
+
+ friend int
+ compare(const Constraint& x, const Constraint& y);
+
+ friend class Linear_System<Constraint>;
+ friend class Constraint_System;
+ friend class Polyhedron;
+ friend class Scalar_Products;
+ friend class Topology_Adjusted_Scalar_Product_Sign;
+ friend class Termination_Helpers;
+ friend class Grid;
+ template <typename T>
+ friend class Octagonal_Shape;
+
+ friend Constraint
+ operator<(const Linear_Expression& e1, const Linear_Expression& e2);
+
+ friend Constraint
+ operator<(Variable v1, Variable v2);
+
+ friend Constraint
+ operator<(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Constraint
+ operator<(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+ friend Constraint
+ operator>(const Linear_Expression& e1, const Linear_Expression& e2);
+
+ friend Constraint
+ operator>(Variable v1, Variable v2);
+
+ friend Constraint
+ operator>(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Constraint
+ operator>(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+ friend Constraint
+ operator==(const Linear_Expression& e1, const Linear_Expression& e2);
+
+ friend Constraint
+ operator==(Variable v1, Variable v2);
+
+ friend Constraint
+ operator==(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Constraint
+ operator==(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+ friend Constraint
+ operator<=(const Linear_Expression& e1, const Linear_Expression& e2);
+
+ friend Constraint
+ operator<=(Variable v1, Variable v2);
+
+ friend Constraint
+ operator<=(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Constraint
+ operator<=(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+ friend Constraint
+ operator>=(const Linear_Expression& e1, const Linear_Expression& e2);
+
+ friend Constraint
+ operator>=(Variable v1, Variable v2);
+
+ friend Constraint
+ operator>=(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Constraint
+ operator>=(Coefficient_traits::const_reference n, const Linear_Expression& e);
+};
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Constraint */
+std::ostream& operator<<(std::ostream& s, const Constraint& c);
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Constraint */
+std::ostream& operator<<(std::ostream& s, const Constraint::Type& t);
+
+} // namespace IO_Operators
+
+//! Returns <CODE>true</CODE> if and only if \p x is equivalent to \p y.
+/*! \relates Constraint */
+bool
+operator==(const Constraint& x, const Constraint& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x is not equivalent to \p y.
+/*! \relates Constraint */
+bool
+operator!=(const Constraint& x, const Constraint& y);
+
+/*! \relates Constraint */
+void swap(Constraint& x, Constraint& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Constraint_inlines.hh"
+
+#endif // !defined(PPL_Constraint_defs_hh)
diff --git a/src/Constraint_inlines.hh b/src/Constraint_inlines.hh
new file mode 100644
index 0000000..2a077f4
--- /dev/null
+++ b/src/Constraint_inlines.hh
@@ -0,0 +1,577 @@
+/* Constraint class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Constraint_inlines_hh
+#define PPL_Constraint_inlines_hh 1
+
+#include "Linear_Expression_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline bool
+Constraint::is_necessarily_closed() const {
+ return (topology_ == NECESSARILY_CLOSED);
+}
+
+inline bool
+Constraint::is_not_necessarily_closed() const {
+ return !is_necessarily_closed();
+}
+
+inline Constraint::expr_type
+Constraint::expression() const {
+ return expr_type(expr, is_not_necessarily_closed());
+}
+
+inline dimension_type
+Constraint::space_dimension() const {
+ return expression().space_dimension();
+}
+
+inline void
+Constraint::shift_space_dimensions(Variable v, dimension_type n) {
+ expr.shift_space_dimensions(v, n);
+}
+
+inline bool
+Constraint::is_line_or_equality() const {
+ return (kind_ == LINE_OR_EQUALITY);
+}
+
+inline bool
+Constraint::is_ray_or_point_or_inequality() const {
+ return (kind_ == RAY_OR_POINT_OR_INEQUALITY);
+}
+
+inline Topology
+Constraint::topology() const {
+ return topology_;
+}
+
+inline void
+Constraint::set_is_line_or_equality() {
+ kind_ = LINE_OR_EQUALITY;
+}
+
+inline void
+Constraint::set_is_ray_or_point_or_inequality() {
+ kind_ = RAY_OR_POINT_OR_INEQUALITY;
+}
+
+inline void
+Constraint::set_topology(Topology x) {
+ if (topology() == x)
+ return;
+ if (topology() == NECESSARILY_CLOSED) {
+ // Add a column for the epsilon dimension.
+ expr.set_space_dimension(expr.space_dimension() + 1);
+ }
+ else {
+ PPL_ASSERT(expr.space_dimension() != 0);
+ expr.set_space_dimension(expr.space_dimension() - 1);
+ }
+ topology_ = x;
+}
+
+inline void
+Constraint::mark_as_necessarily_closed() {
+ PPL_ASSERT(is_not_necessarily_closed());
+ topology_ = NECESSARILY_CLOSED;
+}
+
+inline void
+Constraint::mark_as_not_necessarily_closed() {
+ PPL_ASSERT(is_necessarily_closed());
+ topology_ = NOT_NECESSARILY_CLOSED;
+}
+
+inline void
+Constraint::set_necessarily_closed() {
+ set_topology(NECESSARILY_CLOSED);
+}
+
+inline void
+Constraint::set_not_necessarily_closed() {
+ set_topology(NOT_NECESSARILY_CLOSED);
+}
+
+inline
+Constraint::Constraint(Representation r)
+ : expr(r),
+ kind_(RAY_OR_POINT_OR_INEQUALITY),
+ topology_(NECESSARILY_CLOSED) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::Constraint(dimension_type space_dim, Kind kind, Topology topology,
+ Representation r)
+ : expr(r),
+ kind_(kind),
+ topology_(topology) {
+ expr.set_space_dimension(space_dim + 1);
+ PPL_ASSERT(space_dimension() == space_dim);
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::Constraint(Linear_Expression& e, Kind kind, Topology topology)
+ : kind_(kind),
+ topology_(topology) {
+ PPL_ASSERT(kind != RAY_OR_POINT_OR_INEQUALITY || topology == NOT_NECESSARILY_CLOSED);
+ swap(expr, e);
+ if (topology == NOT_NECESSARILY_CLOSED)
+ // Add the epsilon dimension.
+ expr.set_space_dimension(expr.space_dimension() + 1);
+ strong_normalize();
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::Constraint(Linear_Expression& e, Type type, Topology topology)
+ : topology_(topology) {
+ PPL_ASSERT(type != STRICT_INEQUALITY || topology == NOT_NECESSARILY_CLOSED);
+ swap(expr, e);
+ if (topology == NOT_NECESSARILY_CLOSED)
+ expr.set_space_dimension(expr.space_dimension() + 1);
+ if (type == EQUALITY)
+ kind_ = LINE_OR_EQUALITY;
+ else
+ kind_ = RAY_OR_POINT_OR_INEQUALITY;
+ strong_normalize();
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::Constraint(const Constraint& c)
+ : expr(c.expr),
+ kind_(c.kind_),
+ topology_(c.topology_) {
+ // NOTE: This does not call PPL_ASSERT(OK()) because this is called by OK().
+}
+
+inline
+Constraint::Constraint(const Constraint& c, Representation r)
+ : expr(c.expr, r),
+ kind_(c.kind_),
+ topology_(c.topology_) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::Constraint(const Constraint& c, const dimension_type space_dim)
+ : expr(c.expr, c.is_necessarily_closed() ? space_dim : (space_dim + 1)),
+ kind_(c.kind_), topology_(c.topology_) {
+ PPL_ASSERT(space_dimension() == space_dim);
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::Constraint(const Constraint& c, const dimension_type space_dim,
+ Representation r)
+ : expr(c.expr, c.is_necessarily_closed() ? space_dim : (space_dim + 1), r),
+ kind_(c.kind_), topology_(c.topology_) {
+ PPL_ASSERT(space_dimension() == space_dim);
+ PPL_ASSERT(OK());
+}
+
+inline
+Constraint::~Constraint() {
+}
+
+inline Constraint&
+Constraint::operator=(const Constraint& c) {
+ Constraint tmp = c;
+ swap(*this, tmp);
+
+ return *this;
+}
+
+inline Representation
+Constraint::representation() const {
+ return expr.representation();
+}
+
+inline void
+Constraint::set_representation(Representation r) {
+ expr.set_representation(r);
+}
+
+inline dimension_type
+Constraint::max_space_dimension() {
+ return Linear_Expression::max_space_dimension();
+}
+
+inline void
+Constraint::set_space_dimension_no_ok(dimension_type space_dim) {
+ const dimension_type old_expr_space_dim = expr.space_dimension();
+ if (topology() == NECESSARILY_CLOSED) {
+ expr.set_space_dimension(space_dim);
+ }
+ else {
+ const dimension_type old_space_dim = space_dimension();
+ if (space_dim > old_space_dim) {
+ expr.set_space_dimension(space_dim + 1);
+ expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
+ }
+ else {
+ expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
+ expr.set_space_dimension(space_dim + 1);
+ }
+ }
+ PPL_ASSERT(space_dimension() == space_dim);
+ if (expr.space_dimension() < old_expr_space_dim)
+ strong_normalize();
+}
+
+inline void
+Constraint::set_space_dimension(dimension_type space_dim) {
+ set_space_dimension_no_ok(space_dim);
+ PPL_ASSERT(OK());
+}
+
+inline bool
+Constraint::remove_space_dimensions(const Variables_Set& vars) {
+ expr.remove_space_dimensions(vars);
+ return true;
+}
+
+inline bool
+Constraint::is_equality() const {
+ return is_line_or_equality();
+}
+
+inline bool
+Constraint::is_inequality() const {
+ return is_ray_or_point_or_inequality();
+}
+
+inline Constraint::Type
+Constraint::type() const {
+ if (is_equality())
+ return EQUALITY;
+ if (is_necessarily_closed())
+ return NONSTRICT_INEQUALITY;
+ if (epsilon_coefficient() < 0)
+ return STRICT_INEQUALITY;
+ else
+ return NONSTRICT_INEQUALITY;
+}
+
+inline bool
+Constraint::is_nonstrict_inequality() const {
+ return type() == NONSTRICT_INEQUALITY;
+}
+
+inline bool
+Constraint::is_strict_inequality() const {
+ return type() == STRICT_INEQUALITY;
+}
+
+inline void
+Constraint::set_is_equality() {
+ set_is_line_or_equality();
+}
+
+inline void
+Constraint::set_is_inequality() {
+ set_is_ray_or_point_or_inequality();
+}
+
+inline Coefficient_traits::const_reference
+Constraint::coefficient(const Variable v) const {
+ if (v.space_dimension() > space_dimension())
+ throw_dimension_incompatible("coefficient(v)", "v", v);
+ return expr.coefficient(v);
+}
+
+inline Coefficient_traits::const_reference
+Constraint::inhomogeneous_term() const {
+ return expr.inhomogeneous_term();
+}
+
+inline memory_size_type
+Constraint::external_memory_in_bytes() const {
+ return expr.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Constraint::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline void
+Constraint::strong_normalize() {
+ expr.normalize();
+ sign_normalize();
+}
+
+/*! \relates Constraint */
+inline bool
+operator==(const Constraint& x, const Constraint& y) {
+ return x.is_equivalent_to(y);
+}
+
+/*! \relates Constraint */
+inline bool
+operator!=(const Constraint& x, const Constraint& y) {
+ return !x.is_equivalent_to(y);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator==(const Linear_Expression& e1, const Linear_Expression& e2) {
+ Linear_Expression diff(e1,
+ std::max(e1.space_dimension(), e2.space_dimension()),
+ Constraint::default_representation);
+ diff -= e2;
+ return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator==(Variable v1, Variable v2) {
+ if (v1.space_dimension() > v2.space_dimension())
+ swap(v1, v2);
+ PPL_ASSERT(v1.space_dimension() <= v2.space_dimension());
+
+ Linear_Expression diff(v1, Constraint::default_representation);
+ diff -= v2;
+ return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>=(const Linear_Expression& e1, const Linear_Expression& e2) {
+ Linear_Expression diff(e1,
+ std::max(e1.space_dimension(), e2.space_dimension()),
+ Constraint::default_representation);
+ diff -= e2;
+ return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>=(const Variable v1, const Variable v2) {
+ Linear_Expression diff(Constraint::default_representation);
+ diff.set_space_dimension(std::max(v1.space_dimension(),
+ v2.space_dimension()));
+ diff += v1;
+ diff -= v2;
+ return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>(const Linear_Expression& e1, const Linear_Expression& e2) {
+ Linear_Expression diff(e1, Constraint::default_representation);
+ diff -= e2;
+ Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
+
+ // NOTE: this also enforces normalization.
+ c.set_epsilon_coefficient(-1);
+ PPL_ASSERT(c.OK());
+
+ return c;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>(const Variable v1, const Variable v2) {
+ Linear_Expression diff(Constraint::default_representation);
+ diff.set_space_dimension(std::max(v1.space_dimension(),
+ v2.space_dimension()));
+ diff += v1;
+ diff -= v2;
+ Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
+
+ c.set_epsilon_coefficient(-1);
+ PPL_ASSERT(c.OK());
+
+ return c;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator==(Coefficient_traits::const_reference n, const Linear_Expression& e) {
+ Linear_Expression diff(e, Constraint::default_representation);
+ neg_assign(diff);
+ diff += n;
+ return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>=(Coefficient_traits::const_reference n, const Linear_Expression& e) {
+ Linear_Expression diff(e, Constraint::default_representation);
+ neg_assign(diff);
+ diff += n;
+ return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>(Coefficient_traits::const_reference n, const Linear_Expression& e) {
+ Linear_Expression diff(e, Constraint::default_representation);
+ neg_assign(diff);
+ diff += n;
+ Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
+
+ // NOTE: this also enforces normalization.
+ c.set_epsilon_coefficient(-1);
+ PPL_ASSERT(c.OK());
+
+ return c;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator==(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ Linear_Expression diff(e, Constraint::default_representation);
+ diff -= n;
+ return Constraint(diff, Constraint::EQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>=(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ Linear_Expression diff(e, Constraint::default_representation);
+ diff -= n;
+ return Constraint(diff, Constraint::NONSTRICT_INEQUALITY, NECESSARILY_CLOSED);
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator>(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ Linear_Expression diff(e, Constraint::default_representation);
+ diff -= n;
+ Constraint c(diff, Constraint::STRICT_INEQUALITY, NOT_NECESSARILY_CLOSED);
+
+ // NOTE: this also enforces normalization.
+ c.set_epsilon_coefficient(-1);
+ PPL_ASSERT(c.OK());
+
+ return c;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<=(const Linear_Expression& e1, const Linear_Expression& e2) {
+ return e2 >= e1;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<=(const Variable v1, const Variable v2) {
+ return v2 >= v1;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<=(Coefficient_traits::const_reference n, const Linear_Expression& e) {
+ return e >= n;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<=(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ return n >= e;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<(const Linear_Expression& e1, const Linear_Expression& e2) {
+ return e2 > e1;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<(const Variable v1, const Variable v2) {
+ return v2 > v1;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<(Coefficient_traits::const_reference n, const Linear_Expression& e) {
+ return e > n;
+}
+
+/*! \relates Constraint */
+inline Constraint
+operator<(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ return n > e;
+}
+
+inline const Constraint&
+Constraint::zero_dim_false() {
+ PPL_ASSERT(zero_dim_false_p != 0);
+ return *zero_dim_false_p;
+}
+
+inline const Constraint&
+Constraint::zero_dim_positivity() {
+ PPL_ASSERT(zero_dim_positivity_p != 0);
+ return *zero_dim_positivity_p;
+}
+
+inline const Constraint&
+Constraint::epsilon_geq_zero() {
+ PPL_ASSERT(epsilon_geq_zero_p != 0);
+ return *epsilon_geq_zero_p;
+}
+
+inline const Constraint&
+Constraint::epsilon_leq_one() {
+ PPL_ASSERT(epsilon_leq_one_p != 0);
+ return *epsilon_leq_one_p;
+}
+
+inline void
+Constraint::m_swap(Constraint& y) {
+ using std::swap;
+ swap(expr, y.expr);
+ swap(kind_, y.kind_);
+ swap(topology_, y.topology_);
+}
+
+inline Coefficient_traits::const_reference
+Constraint::epsilon_coefficient() const {
+ PPL_ASSERT(is_not_necessarily_closed());
+ return expr.coefficient(Variable(expr.space_dimension() - 1));
+}
+
+inline void
+Constraint::set_epsilon_coefficient(Coefficient_traits::const_reference n) {
+ PPL_ASSERT(is_not_necessarily_closed());
+ expr.set_coefficient(Variable(expr.space_dimension() - 1), n);
+}
+
+/*! \relates Constraint */
+inline void
+swap(Constraint& x, Constraint& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Constraint_inlines_hh)
diff --git a/src/Constraint_types.hh b/src/Constraint_types.hh
new file mode 100644
index 0000000..223a3c6
--- /dev/null
+++ b/src/Constraint_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Constraint_types_hh
+#define PPL_Constraint_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Constraint;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Constraint_types_hh)
diff --git a/src/DB_Matrix.defs.hh b/src/DB_Matrix.defs.hh
deleted file mode 100644
index afe41ea..0000000
--- a/src/DB_Matrix.defs.hh
+++ /dev/null
@@ -1,325 +0,0 @@
-/* DB_Matrix class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_DB_Matrix_defs_hh
-#define PPL_DB_Matrix_defs_hh 1
-
-#include "DB_Matrix.types.hh"
-#include "globals.defs.hh"
-#include "DB_Row.defs.hh"
-#include "Checked_Number.types.hh"
-#include "Rounding_Dir.defs.hh"
-#include <vector>
-#include <cstddef>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-std::ostream&
-operator<<(std::ostream& s, const DB_Matrix<T>& c);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The base class for the square matrices.
-/*! \ingroup PPL_CXX_interface
- The template class DB_Matrix<T> allows for the representation of
- a square matrix of T objects.
- Each DB_Matrix<T> object can be viewed as a multiset of DB_Row<T>.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Parma_Polyhedra_Library::DB_Matrix {
-public:
- //! Returns the maximum number of rows a DB_Matrix can handle.
- static dimension_type max_num_rows();
-
- //! Returns the maximum number of columns a DB_Matrix can handle.
- static dimension_type max_num_columns();
-
- //! Builds an empty matrix.
- /*!
- DB_Rows' size and capacity are initialized to \f$0\f$.
- */
- DB_Matrix();
-
- //! Builds a square matrix having the specified dimension.
- explicit DB_Matrix(dimension_type n_rows);
-
- //! Copy constructor.
- DB_Matrix(const DB_Matrix& y);
-
- //! Constructs a conservative approximation of \p y.
- template <typename U>
- explicit DB_Matrix(const DB_Matrix<U>& y);
-
- //! Destructor.
- ~DB_Matrix();
-
- //! Assignment operator.
- DB_Matrix& operator=(const DB_Matrix& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! A read-only iterator over the rows of the matrix.
- /*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- class const_iterator {
- private:
- typedef typename std::vector<DB_Row<T> >::const_iterator Iter;
- //! The const iterator on the rows' vector \p rows.
- Iter i;
-
- public:
- typedef std::forward_iterator_tag iterator_category;
- typedef typename std::iterator_traits<Iter>::value_type value_type;
- typedef typename std::iterator_traits<Iter>::difference_type
- difference_type;
- typedef typename std::iterator_traits<Iter>::pointer pointer;
- typedef typename std::iterator_traits<Iter>::reference reference;
-
- //! Default constructor.
- const_iterator();
-
- /*! \brief
- Builds a const iterator on the matrix starting from
- an iterator \p b on the elements of the vector \p rows.
- */
- explicit const_iterator(const Iter& b);
-
- //! Ordinary copy constructor.
- const_iterator(const const_iterator& y);
-
- //! Assignment operator.
- const_iterator& operator=(const const_iterator& y);
-
- //! Dereference operator.
- reference operator*() const;
-
- //! Indirect member selector.
- pointer operator->() const;
-
- //! Prefix increment operator.
- const_iterator& operator++();
-
- //! Postfix increment operator.
- const_iterator operator++(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are identical.
- */
- bool operator==(const const_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are different.
- */
- bool operator!=(const const_iterator& y) const;
- };
-
- /*! \brief
- Returns the const_iterator pointing to the first row,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const_iterator.
- const_iterator end() const;
-
-private:
- template <typename U> friend class DB_Matrix;
-
- //! The rows of the matrix.
- std::vector<DB_Row<T> > rows;
-
- //! Size of the initialized part of each row.
- dimension_type row_size;
-
- /*! \brief
- Capacity allocated for each row, i.e., number of
- <CODE>long</CODE> objects that each row can contain.
- */
- dimension_type row_capacity;
-
-public:
- //! Swaps \p *this with \p y.
- void m_swap(DB_Matrix& y);
-
- //! Makes the matrix grow by adding more rows and more columns.
- /*!
- \param new_n_rows
- The number of rows and columns of the resized matrix.
-
- A new matrix, with the specified dimension, is created.
- The contents of the old matrix are copied in the upper, left-hand
- corner of the new matrix, which is then assigned to \p *this.
- */
- void grow(dimension_type new_n_rows);
-
- //! Resizes the matrix without worrying about the old contents.
- /*!
- \param new_n_rows
- The number of rows and columns of the resized matrix.
-
- A new matrix, with the specified dimension, is created without copying
- the content of the old matrix and assigned to \p *this.
- */
- void resize_no_copy(dimension_type new_n_rows);
-
- //! Returns the number of rows in the matrix.
- dimension_type num_rows() const;
-
- //! \name Subscript operators.
- //@{
- //! Returns a reference to the \p k-th row of the matrix.
- DB_Row<T>& operator[](dimension_type k);
-
- //! Returns a constant reference to the \p k-th row of the matrix.
- const DB_Row<T>& operator[](dimension_type k) const;
- //@}
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-void swap(DB_Matrix<T>& x, DB_Matrix<T>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-bool operator==(const DB_Matrix<T>& x, const DB_Matrix<T>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-bool operator!=(const DB_Matrix<T>& x, const DB_Matrix<T>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates DB_Matrix
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into to \p r
- and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates DB_Matrix
- If the Euclidean distance between \p x and \p y is defined,
- stores an approximation of it into to \p r
- and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates DB_Matrix
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into to \p r
- and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "DB_Matrix.inlines.hh"
-#include "DB_Matrix.templates.hh"
-
-#endif // !defined(PPL_DB_Matrix_defs_hh)
diff --git a/src/DB_Matrix.inlines.hh b/src/DB_Matrix.inlines.hh
deleted file mode 100644
index d8cf31f..0000000
--- a/src/DB_Matrix.inlines.hh
+++ /dev/null
@@ -1,330 +0,0 @@
-/* DB_Matrix class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_DB_Matrix_inlines_hh
-#define PPL_DB_Matrix_inlines_hh 1
-
-#include "globals.defs.hh"
-#include "Checked_Number.defs.hh"
-#include "distances.defs.hh"
-#include "assert.hh"
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline void
-DB_Matrix<T>::m_swap(DB_Matrix& y) {
- using std::swap;
- swap(rows, y.rows);
- swap(row_size, y.row_size);
- swap(row_capacity, y.row_capacity);
-}
-
-template <typename T>
-inline dimension_type
-DB_Matrix<T>::max_num_rows() {
- return std::vector<DB_Row<T> >().max_size();
-}
-
-template <typename T>
-inline dimension_type
-DB_Matrix<T>::max_num_columns() {
- return DB_Row<T>::max_size();
-}
-
-template <typename T>
-inline memory_size_type
-DB_Matrix<T>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename T>
-inline
-DB_Matrix<T>::const_iterator::const_iterator()
- : i(Iter()) {
-}
-
-template <typename T>
-inline
-DB_Matrix<T>::const_iterator::const_iterator(const Iter& b)
- : i(b) {
-}
-
-template <typename T>
-inline
-DB_Matrix<T>::const_iterator::const_iterator(const const_iterator& y)
- : i(y.i) {
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator&
-DB_Matrix<T>::const_iterator::operator=(const const_iterator& y) {
- i = y.i;
- return *this;
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator::reference
-DB_Matrix<T>::const_iterator::operator*() const {
- return *i;
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator::pointer
-DB_Matrix<T>::const_iterator::operator->() const {
- return &*i;
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator&
-DB_Matrix<T>::const_iterator::operator++() {
- ++i;
- return *this;
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator
-DB_Matrix<T>::const_iterator::operator++(int) {
- return const_iterator(i++);
-}
-
-template <typename T>
-inline bool
-DB_Matrix<T>::const_iterator::operator==(const const_iterator& y) const {
- return i == y.i;
-}
-
-template <typename T>
-inline bool
-DB_Matrix<T>::const_iterator::operator!=(const const_iterator& y) const {
- return !operator==(y);
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator
-DB_Matrix<T>::begin() const {
- return const_iterator(rows.begin());
-}
-
-template <typename T>
-inline typename DB_Matrix<T>::const_iterator
-DB_Matrix<T>::end() const {
- return const_iterator(rows.end());
-}
-
-template <typename T>
-inline
-DB_Matrix<T>::DB_Matrix()
- : rows(),
- row_size(0),
- row_capacity(0) {
-}
-
-template <typename T>
-inline
-DB_Matrix<T>::~DB_Matrix() {
-}
-
-template <typename T>
-inline DB_Row<T>&
-DB_Matrix<T>::operator[](const dimension_type k) {
- PPL_ASSERT(k < rows.size());
- return rows[k];
-}
-
-template <typename T>
-inline const DB_Row<T>&
-DB_Matrix<T>::operator[](const dimension_type k) const {
- PPL_ASSERT(k < rows.size());
- return rows[k];
-}
-
-template <typename T>
-inline dimension_type
-DB_Matrix<T>::num_rows() const {
- return rows.size();
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-inline bool
-operator!=(const DB_Matrix<T>& x, const DB_Matrix<T>& y) {
- return !(x == y);
-}
-
-template <typename T>
-inline
-DB_Matrix<T>::DB_Matrix(const DB_Matrix& y)
- : rows(y.rows),
- row_size(y.row_size),
- row_capacity(compute_capacity(y.row_size, max_num_columns())) {
-}
-
-template <typename T>
-inline DB_Matrix<T>&
-DB_Matrix<T>::operator=(const DB_Matrix& y) {
- // Without the following guard against auto-assignments we would
- // recompute the row capacity based on row size, possibly without
- // actually increasing the capacity of the rows. This would lead to
- // an inconsistent state.
- if (this != &y) {
- // The following assignment may do nothing on auto-assignments...
- rows = y.rows;
- row_size = y.row_size;
- // ... hence the following assignment must not be done on
- // auto-assignments.
- row_capacity = compute_capacity(y.row_size, max_num_columns());
- }
- return *this;
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Specialization, typename Temp, typename To, typename T>
-inline bool
-l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- const dimension_type x_num_rows = x.num_rows();
- if (x_num_rows != y.num_rows())
- return false;
- assign_r(tmp0, 0, ROUND_NOT_NEEDED);
- for (dimension_type i = x_num_rows; i-- > 0; ) {
- const DB_Row<T>& x_i = x[i];
- const DB_Row<T>& y_i = y[i];
- for (dimension_type j = x_num_rows; j-- > 0; ) {
- const T& x_i_j = x_i[j];
- const T& y_i_j = y_i[j];
- if (is_plus_infinity(x_i_j)) {
- if (is_plus_infinity(y_i_j))
- continue;
- else {
- pinf:
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
- }
- else if (is_plus_infinity(y_i_j))
- goto pinf;
-
- const Temp* tmp1p;
- const Temp* tmp2p;
- if (x_i_j > y_i_j) {
- maybe_assign(tmp1p, tmp1, x_i_j, dir);
- maybe_assign(tmp2p, tmp2, y_i_j, inverse(dir));
- }
- else {
- maybe_assign(tmp1p, tmp1, y_i_j, dir);
- maybe_assign(tmp2p, tmp2, x_i_j, inverse(dir));
- }
- sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
- PPL_ASSERT(sgn(tmp1) >= 0);
- Specialization::combine(tmp0, tmp1, dir);
- }
- }
- Specialization::finalize(tmp0, dir);
- assign_r(r, tmp0, dir);
- return true;
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return
- l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
-}
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return
- l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return
- l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-inline void
-swap(DB_Matrix<T>& x, DB_Matrix<T>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_DB_Matrix_inlines_hh)
diff --git a/src/DB_Matrix.templates.hh b/src/DB_Matrix.templates.hh
deleted file mode 100644
index e03974d..0000000
--- a/src/DB_Matrix.templates.hh
+++ /dev/null
@@ -1,319 +0,0 @@
-/* DB_Matrix class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_DB_Matrix_templates_hh
-#define PPL_DB_Matrix_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-DB_Matrix<T>::DB_Matrix(const dimension_type n_rows)
- : rows(n_rows),
- row_size(n_rows),
- row_capacity(compute_capacity(n_rows, max_num_columns())) {
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = 0; i < n_rows; ++i)
- rows[i].construct(n_rows, row_capacity);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename U>
-DB_Matrix<T>::DB_Matrix(const DB_Matrix<U>& y)
- : rows(y.rows.size()),
- row_size(y.row_size),
- row_capacity(compute_capacity(y.row_size, max_num_columns())) {
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = 0, n_rows = rows.size(); i < n_rows; ++i)
- rows[i].construct_upward_approximation(y[i], row_capacity);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-DB_Matrix<T>::grow(const dimension_type new_n_rows) {
- const dimension_type old_n_rows = rows.size();
- PPL_ASSERT(new_n_rows >= old_n_rows);
-
- if (new_n_rows > old_n_rows) {
- if (new_n_rows <= row_capacity) {
- // We can recycle the old rows.
- if (rows.capacity() < new_n_rows) {
- // Reallocation will take place.
- std::vector<DB_Row<T> > new_rows;
- new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
- new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
- // Construct the new rows.
- dimension_type i = new_n_rows;
- while (i-- > old_n_rows)
- new_rows[i].construct(new_n_rows, row_capacity);
- // Steal the old rows.
- ++i;
- while (i-- > 0)
- swap(new_rows[i], rows[i]);
- // Put the new vector into place.
- using std::swap;
- swap(rows, new_rows);
- }
- else {
- // Reallocation will NOT take place.
- rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
- for (dimension_type i = new_n_rows; i-- > old_n_rows; )
- rows[i].construct(new_n_rows, row_capacity);
- }
- }
- else {
- // We cannot even recycle the old rows.
- DB_Matrix new_matrix;
- new_matrix.rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
- new_matrix.rows.insert(new_matrix.rows.end(), new_n_rows, DB_Row<T>());
- // Construct the new rows.
- new_matrix.row_size = new_n_rows;
- new_matrix.row_capacity = compute_capacity(new_n_rows,
- max_num_columns());
- dimension_type i = new_n_rows;
- while (i-- > old_n_rows)
- new_matrix.rows[i].construct(new_matrix.row_size,
- new_matrix.row_capacity);
- // Copy the old rows.
- ++i;
- while (i-- > 0) {
- // FIXME: copying may be unnecessarily costly.
- DB_Row<T> new_row(rows[i],
- new_matrix.row_size,
- new_matrix.row_capacity);
- swap(new_matrix.rows[i], new_row);
- }
- // Put the new vector into place.
- m_swap(new_matrix);
- return;
- }
- }
- // Here we have the right number of rows.
- if (new_n_rows > row_size) {
- // We need more columns.
- if (new_n_rows <= row_capacity)
- // But we have enough capacity: we resize existing rows.
- for (dimension_type i = old_n_rows; i-- > 0; )
- rows[i].expand_within_capacity(new_n_rows);
- else {
- // Capacity exhausted: we must reallocate the rows and
- // make sure all the rows have the same capacity.
- const dimension_type new_row_capacity
- = compute_capacity(new_n_rows, max_num_columns());
- for (dimension_type i = old_n_rows; i-- > 0; ) {
- // FIXME: copying may be unnecessarily costly.
- DB_Row<T> new_row(rows[i], new_n_rows, new_row_capacity);
- swap(rows[i], new_row);
- }
- row_capacity = new_row_capacity;
- }
- // Rows have grown or shrunk.
- row_size = new_n_rows;
- }
-}
-
-template <typename T>
-void
-DB_Matrix<T>::resize_no_copy(const dimension_type new_n_rows) {
- dimension_type old_n_rows = rows.size();
-
- if (new_n_rows > old_n_rows) {
- // Rows will be inserted.
- if (new_n_rows <= row_capacity) {
- // We can recycle the old rows.
- if (rows.capacity() < new_n_rows) {
- // Reallocation (of vector `rows') will take place.
- std::vector<DB_Row<T> > new_rows;
- new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
- new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
- // Construct the new rows (be careful: each new row must have
- // the same capacity as each one of the old rows).
- dimension_type i = new_n_rows;
- while (i-- > old_n_rows)
- new_rows[i].construct(new_n_rows, row_capacity);
- // Steal the old rows.
- ++i;
- while (i-- > 0)
- swap(new_rows[i], rows[i]);
- // Put the new vector into place.
- using std::swap;
- swap(rows, new_rows);
- }
- else {
- // Reallocation (of vector `rows') will NOT take place.
- rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
- // Be careful: each new row must have
- // the same capacity as each one of the old rows.
- for (dimension_type i = new_n_rows; i-- > old_n_rows; )
- rows[i].construct(new_n_rows, row_capacity);
- }
- }
- else {
- // We cannot even recycle the old rows: allocate a new matrix and swap.
- DB_Matrix new_matrix(new_n_rows);
- m_swap(new_matrix);
- return;
- }
- }
- else if (new_n_rows < old_n_rows) {
- // Drop some rows.
- rows.resize(new_n_rows);
- // Shrink the existing rows.
- for (dimension_type i = new_n_rows; i-- > 0; )
- rows[i].shrink(new_n_rows);
- old_n_rows = new_n_rows;
- }
- // Here we have the right number of rows.
- if (new_n_rows > row_size) {
- // We need more columns.
- if (new_n_rows <= row_capacity)
- // But we have enough capacity: we resize existing rows.
- for (dimension_type i = old_n_rows; i-- > 0; )
- rows[i].expand_within_capacity(new_n_rows);
- else {
- // Capacity exhausted: we must reallocate the rows and
- // make sure all the rows have the same capacity.
- const dimension_type new_row_capacity
- = compute_capacity(new_n_rows, max_num_columns());
- for (dimension_type i = old_n_rows; i-- > 0; ) {
- DB_Row<T> new_row(new_n_rows, new_row_capacity);
- swap(rows[i], new_row);
- }
- row_capacity = new_row_capacity;
- }
- }
- // DB_Rows have grown or shrunk.
- row_size = new_n_rows;
-}
-
-template <typename T>
-void
-DB_Matrix<T>::ascii_dump(std::ostream& s) const {
- const DB_Matrix<T>& x = *this;
- const char separator = ' ';
- const dimension_type nrows = x.num_rows();
- s << nrows << separator << "\n";
- for (dimension_type i = 0; i < nrows; ++i) {
- for (dimension_type j = 0; j < nrows; ++j) {
- using namespace IO_Operators;
- s << x[i][j] << separator;
- }
- s << "\n";
- }
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, DB_Matrix<T>)
-
-template <typename T>
-bool
-DB_Matrix<T>::ascii_load(std::istream& s) {
- dimension_type nrows;
- if (!(s >> nrows))
- return false;
- resize_no_copy(nrows);
- DB_Matrix& x = *this;
- for (dimension_type i = 0; i < nrows; ++i)
- for (dimension_type j = 0; j < nrows; ++j) {
- Result r = input(x[i][j], s, ROUND_CHECK);
- if (result_relation(r) != VR_EQ || is_minus_infinity(x[i][j]))
- return false;
- }
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-bool
-operator==(const DB_Matrix<T>& x, const DB_Matrix<T>& y) {
- const dimension_type x_num_rows = x.num_rows();
- if (x_num_rows != y.num_rows())
- return false;
- for (dimension_type i = x_num_rows; i-- > 0; )
- if (x[i] != y[i])
- return false;
- return true;
-}
-
-template <typename T>
-memory_size_type
-DB_Matrix<T>::external_memory_in_bytes() const {
- memory_size_type n = rows.capacity() * sizeof(DB_Row<T>);
- for (dimension_type i = num_rows(); i-- > 0; )
- n += rows[i].external_memory_in_bytes(row_capacity);
- return n;
-}
-
-template <typename T>
-bool
-DB_Matrix<T>::OK() const {
-#ifndef NDEBUG
- using std::endl;
- using std::cerr;
-#endif
-
- // The matrix must be square.
- if (num_rows() != row_size) {
-#ifndef NDEBUG
- cerr << "DB_Matrix has fewer columns than rows:\n"
- << "row_size is " << row_size
- << ", num_rows() is " << num_rows() << "!"
- << endl;
-#endif
- return false;
- }
-
- const DB_Matrix& x = *this;
- const dimension_type n_rows = x.num_rows();
- for (dimension_type i = 0; i < n_rows; ++i) {
- if (!x[i].OK(row_size, row_capacity))
- return false;
- }
-
- // All checks passed.
- return true;
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Parma_Polyhedra_Library::DB_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-std::ostream&
-IO_Operators::operator<<(std::ostream& s, const DB_Matrix<T>& c) {
- const dimension_type n = c.num_rows();
- for (dimension_type i = 0; i < n; ++i) {
- for (dimension_type j = 0; j < n; ++j)
- s << c[i][j] << " ";
- s << "\n";
- }
- return s;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_DB_Matrix_templates_hh)
diff --git a/src/DB_Matrix.types.hh b/src/DB_Matrix.types.hh
deleted file mode 100644
index c5f43d5..0000000
--- a/src/DB_Matrix.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_DB_Matrix_types_hh
-#define PPL_DB_Matrix_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-class DB_Matrix;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_DB_Matrix_types_hh)
diff --git a/src/DB_Matrix_defs.hh b/src/DB_Matrix_defs.hh
new file mode 100644
index 0000000..507972f
--- /dev/null
+++ b/src/DB_Matrix_defs.hh
@@ -0,0 +1,325 @@
+/* DB_Matrix class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_DB_Matrix_defs_hh
+#define PPL_DB_Matrix_defs_hh 1
+
+#include "DB_Matrix_types.hh"
+#include "globals_defs.hh"
+#include "DB_Row_defs.hh"
+#include "Checked_Number_types.hh"
+#include "Rounding_Dir_defs.hh"
+#include <vector>
+#include <cstddef>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+std::ostream&
+operator<<(std::ostream& s, const DB_Matrix<T>& c);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The base class for the square matrices.
+/*! \ingroup PPL_CXX_interface
+ The template class DB_Matrix<T> allows for the representation of
+ a square matrix of T objects.
+ Each DB_Matrix<T> object can be viewed as a multiset of DB_Row<T>.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::DB_Matrix {
+public:
+ //! Returns the maximum number of rows a DB_Matrix can handle.
+ static dimension_type max_num_rows();
+
+ //! Returns the maximum number of columns a DB_Matrix can handle.
+ static dimension_type max_num_columns();
+
+ //! Builds an empty matrix.
+ /*!
+ DB_Rows' size and capacity are initialized to \f$0\f$.
+ */
+ DB_Matrix();
+
+ //! Builds a square matrix having the specified dimension.
+ explicit DB_Matrix(dimension_type n_rows);
+
+ //! Copy constructor.
+ DB_Matrix(const DB_Matrix& y);
+
+ //! Constructs a conservative approximation of \p y.
+ template <typename U>
+ explicit DB_Matrix(const DB_Matrix<U>& y);
+
+ //! Destructor.
+ ~DB_Matrix();
+
+ //! Assignment operator.
+ DB_Matrix& operator=(const DB_Matrix& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! A read-only iterator over the rows of the matrix.
+ /*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ class const_iterator {
+ private:
+ typedef typename std::vector<DB_Row<T> >::const_iterator Iter;
+ //! The const iterator on the rows' vector \p rows.
+ Iter i;
+
+ public:
+ typedef std::forward_iterator_tag iterator_category;
+ typedef typename std::iterator_traits<Iter>::value_type value_type;
+ typedef typename std::iterator_traits<Iter>::difference_type
+ difference_type;
+ typedef typename std::iterator_traits<Iter>::pointer pointer;
+ typedef typename std::iterator_traits<Iter>::reference reference;
+
+ //! Default constructor.
+ const_iterator();
+
+ /*! \brief
+ Builds a const iterator on the matrix starting from
+ an iterator \p b on the elements of the vector \p rows.
+ */
+ explicit const_iterator(const Iter& b);
+
+ //! Ordinary copy constructor.
+ const_iterator(const const_iterator& y);
+
+ //! Assignment operator.
+ const_iterator& operator=(const const_iterator& y);
+
+ //! Dereference operator.
+ reference operator*() const;
+
+ //! Indirect member selector.
+ pointer operator->() const;
+
+ //! Prefix increment operator.
+ const_iterator& operator++();
+
+ //! Postfix increment operator.
+ const_iterator operator++(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are identical.
+ */
+ bool operator==(const const_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are different.
+ */
+ bool operator!=(const const_iterator& y) const;
+ };
+
+ /*! \brief
+ Returns the const_iterator pointing to the first row,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const_iterator.
+ const_iterator end() const;
+
+private:
+ template <typename U> friend class DB_Matrix;
+
+ //! The rows of the matrix.
+ std::vector<DB_Row<T> > rows;
+
+ //! Size of the initialized part of each row.
+ dimension_type row_size;
+
+ /*! \brief
+ Capacity allocated for each row, i.e., number of
+ <CODE>long</CODE> objects that each row can contain.
+ */
+ dimension_type row_capacity;
+
+public:
+ //! Swaps \p *this with \p y.
+ void m_swap(DB_Matrix& y);
+
+ //! Makes the matrix grow by adding more rows and more columns.
+ /*!
+ \param new_n_rows
+ The number of rows and columns of the resized matrix.
+
+ A new matrix, with the specified dimension, is created.
+ The contents of the old matrix are copied in the upper, left-hand
+ corner of the new matrix, which is then assigned to \p *this.
+ */
+ void grow(dimension_type new_n_rows);
+
+ //! Resizes the matrix without worrying about the old contents.
+ /*!
+ \param new_n_rows
+ The number of rows and columns of the resized matrix.
+
+ A new matrix, with the specified dimension, is created without copying
+ the content of the old matrix and assigned to \p *this.
+ */
+ void resize_no_copy(dimension_type new_n_rows);
+
+ //! Returns the number of rows in the matrix.
+ dimension_type num_rows() const;
+
+ //! \name Subscript operators.
+ //@{
+ //! Returns a reference to the \p k-th row of the matrix.
+ DB_Row<T>& operator[](dimension_type k);
+
+ //! Returns a constant reference to the \p k-th row of the matrix.
+ const DB_Row<T>& operator[](dimension_type k) const;
+ //@}
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+void swap(DB_Matrix<T>& x, DB_Matrix<T>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+bool operator==(const DB_Matrix<T>& x, const DB_Matrix<T>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+bool operator!=(const DB_Matrix<T>& x, const DB_Matrix<T>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates DB_Matrix
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into to \p r
+ and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates DB_Matrix
+ If the Euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into to \p r
+ and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates DB_Matrix
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into to \p r
+ and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "DB_Matrix_inlines.hh"
+#include "DB_Matrix_templates.hh"
+
+#endif // !defined(PPL_DB_Matrix_defs_hh)
diff --git a/src/DB_Matrix_inlines.hh b/src/DB_Matrix_inlines.hh
new file mode 100644
index 0000000..63c52ca
--- /dev/null
+++ b/src/DB_Matrix_inlines.hh
@@ -0,0 +1,330 @@
+/* DB_Matrix class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_DB_Matrix_inlines_hh
+#define PPL_DB_Matrix_inlines_hh 1
+
+#include "globals_defs.hh"
+#include "Checked_Number_defs.hh"
+#include "distances_defs.hh"
+#include "assert.hh"
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline void
+DB_Matrix<T>::m_swap(DB_Matrix& y) {
+ using std::swap;
+ swap(rows, y.rows);
+ swap(row_size, y.row_size);
+ swap(row_capacity, y.row_capacity);
+}
+
+template <typename T>
+inline dimension_type
+DB_Matrix<T>::max_num_rows() {
+ return std::vector<DB_Row<T> >().max_size();
+}
+
+template <typename T>
+inline dimension_type
+DB_Matrix<T>::max_num_columns() {
+ return DB_Row<T>::max_size();
+}
+
+template <typename T>
+inline memory_size_type
+DB_Matrix<T>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename T>
+inline
+DB_Matrix<T>::const_iterator::const_iterator()
+ : i(Iter()) {
+}
+
+template <typename T>
+inline
+DB_Matrix<T>::const_iterator::const_iterator(const Iter& b)
+ : i(b) {
+}
+
+template <typename T>
+inline
+DB_Matrix<T>::const_iterator::const_iterator(const const_iterator& y)
+ : i(y.i) {
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator&
+DB_Matrix<T>::const_iterator::operator=(const const_iterator& y) {
+ i = y.i;
+ return *this;
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator::reference
+DB_Matrix<T>::const_iterator::operator*() const {
+ return *i;
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator::pointer
+DB_Matrix<T>::const_iterator::operator->() const {
+ return &*i;
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator&
+DB_Matrix<T>::const_iterator::operator++() {
+ ++i;
+ return *this;
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator
+DB_Matrix<T>::const_iterator::operator++(int) {
+ return const_iterator(i++);
+}
+
+template <typename T>
+inline bool
+DB_Matrix<T>::const_iterator::operator==(const const_iterator& y) const {
+ return i == y.i;
+}
+
+template <typename T>
+inline bool
+DB_Matrix<T>::const_iterator::operator!=(const const_iterator& y) const {
+ return !operator==(y);
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator
+DB_Matrix<T>::begin() const {
+ return const_iterator(rows.begin());
+}
+
+template <typename T>
+inline typename DB_Matrix<T>::const_iterator
+DB_Matrix<T>::end() const {
+ return const_iterator(rows.end());
+}
+
+template <typename T>
+inline
+DB_Matrix<T>::DB_Matrix()
+ : rows(),
+ row_size(0),
+ row_capacity(0) {
+}
+
+template <typename T>
+inline
+DB_Matrix<T>::~DB_Matrix() {
+}
+
+template <typename T>
+inline DB_Row<T>&
+DB_Matrix<T>::operator[](const dimension_type k) {
+ PPL_ASSERT(k < rows.size());
+ return rows[k];
+}
+
+template <typename T>
+inline const DB_Row<T>&
+DB_Matrix<T>::operator[](const dimension_type k) const {
+ PPL_ASSERT(k < rows.size());
+ return rows[k];
+}
+
+template <typename T>
+inline dimension_type
+DB_Matrix<T>::num_rows() const {
+ return rows.size();
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+inline bool
+operator!=(const DB_Matrix<T>& x, const DB_Matrix<T>& y) {
+ return !(x == y);
+}
+
+template <typename T>
+inline
+DB_Matrix<T>::DB_Matrix(const DB_Matrix& y)
+ : rows(y.rows),
+ row_size(y.row_size),
+ row_capacity(compute_capacity(y.row_size, max_num_columns())) {
+}
+
+template <typename T>
+inline DB_Matrix<T>&
+DB_Matrix<T>::operator=(const DB_Matrix& y) {
+ // Without the following guard against auto-assignments we would
+ // recompute the row capacity based on row size, possibly without
+ // actually increasing the capacity of the rows. This would lead to
+ // an inconsistent state.
+ if (this != &y) {
+ // The following assignment may do nothing on auto-assignments...
+ rows = y.rows;
+ row_size = y.row_size;
+ // ... hence the following assignment must not be done on
+ // auto-assignments.
+ row_capacity = compute_capacity(y.row_size, max_num_columns());
+ }
+ return *this;
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Specialization, typename Temp, typename To, typename T>
+inline bool
+l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ const dimension_type x_num_rows = x.num_rows();
+ if (x_num_rows != y.num_rows())
+ return false;
+ assign_r(tmp0, 0, ROUND_NOT_NEEDED);
+ for (dimension_type i = x_num_rows; i-- > 0; ) {
+ const DB_Row<T>& x_i = x[i];
+ const DB_Row<T>& y_i = y[i];
+ for (dimension_type j = x_num_rows; j-- > 0; ) {
+ const T& x_i_j = x_i[j];
+ const T& y_i_j = y_i[j];
+ if (is_plus_infinity(x_i_j)) {
+ if (is_plus_infinity(y_i_j))
+ continue;
+ else {
+ pinf:
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+ }
+ else if (is_plus_infinity(y_i_j))
+ goto pinf;
+
+ const Temp* tmp1p;
+ const Temp* tmp2p;
+ if (x_i_j > y_i_j) {
+ maybe_assign(tmp1p, tmp1, x_i_j, dir);
+ maybe_assign(tmp2p, tmp2, y_i_j, inverse(dir));
+ }
+ else {
+ maybe_assign(tmp1p, tmp1, y_i_j, dir);
+ maybe_assign(tmp2p, tmp2, x_i_j, inverse(dir));
+ }
+ sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
+ PPL_ASSERT(sgn(tmp1) >= 0);
+ Specialization::combine(tmp0, tmp1, dir);
+ }
+ }
+ Specialization::finalize(tmp0, dir);
+ assign_r(r, tmp0, dir);
+ return true;
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return
+ l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >(r, x, y,
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
+}
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return
+ l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >(r, x, y,
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return
+ l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >(r, x, y,
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+inline void
+swap(DB_Matrix<T>& x, DB_Matrix<T>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_DB_Matrix_inlines_hh)
diff --git a/src/DB_Matrix_templates.hh b/src/DB_Matrix_templates.hh
new file mode 100644
index 0000000..6fba4e1
--- /dev/null
+++ b/src/DB_Matrix_templates.hh
@@ -0,0 +1,319 @@
+/* DB_Matrix class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_DB_Matrix_templates_hh
+#define PPL_DB_Matrix_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+DB_Matrix<T>::DB_Matrix(const dimension_type n_rows)
+ : rows(n_rows),
+ row_size(n_rows),
+ row_capacity(compute_capacity(n_rows, max_num_columns())) {
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = 0; i < n_rows; ++i)
+ rows[i].construct(n_rows, row_capacity);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename U>
+DB_Matrix<T>::DB_Matrix(const DB_Matrix<U>& y)
+ : rows(y.rows.size()),
+ row_size(y.row_size),
+ row_capacity(compute_capacity(y.row_size, max_num_columns())) {
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = 0, n_rows = rows.size(); i < n_rows; ++i)
+ rows[i].construct_upward_approximation(y[i], row_capacity);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+DB_Matrix<T>::grow(const dimension_type new_n_rows) {
+ const dimension_type old_n_rows = rows.size();
+ PPL_ASSERT(new_n_rows >= old_n_rows);
+
+ if (new_n_rows > old_n_rows) {
+ if (new_n_rows <= row_capacity) {
+ // We can recycle the old rows.
+ if (rows.capacity() < new_n_rows) {
+ // Reallocation will take place.
+ std::vector<DB_Row<T> > new_rows;
+ new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
+ new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
+ // Construct the new rows.
+ dimension_type i = new_n_rows;
+ while (i-- > old_n_rows)
+ new_rows[i].construct(new_n_rows, row_capacity);
+ // Steal the old rows.
+ ++i;
+ while (i-- > 0)
+ swap(new_rows[i], rows[i]);
+ // Put the new vector into place.
+ using std::swap;
+ swap(rows, new_rows);
+ }
+ else {
+ // Reallocation will NOT take place.
+ rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
+ for (dimension_type i = new_n_rows; i-- > old_n_rows; )
+ rows[i].construct(new_n_rows, row_capacity);
+ }
+ }
+ else {
+ // We cannot even recycle the old rows.
+ DB_Matrix new_matrix;
+ new_matrix.rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
+ new_matrix.rows.insert(new_matrix.rows.end(), new_n_rows, DB_Row<T>());
+ // Construct the new rows.
+ new_matrix.row_size = new_n_rows;
+ new_matrix.row_capacity = compute_capacity(new_n_rows,
+ max_num_columns());
+ dimension_type i = new_n_rows;
+ while (i-- > old_n_rows)
+ new_matrix.rows[i].construct(new_matrix.row_size,
+ new_matrix.row_capacity);
+ // Copy the old rows.
+ ++i;
+ while (i-- > 0) {
+ // FIXME: copying may be unnecessarily costly.
+ DB_Row<T> new_row(rows[i],
+ new_matrix.row_size,
+ new_matrix.row_capacity);
+ swap(new_matrix.rows[i], new_row);
+ }
+ // Put the new vector into place.
+ m_swap(new_matrix);
+ return;
+ }
+ }
+ // Here we have the right number of rows.
+ if (new_n_rows > row_size) {
+ // We need more columns.
+ if (new_n_rows <= row_capacity)
+ // But we have enough capacity: we resize existing rows.
+ for (dimension_type i = old_n_rows; i-- > 0; )
+ rows[i].expand_within_capacity(new_n_rows);
+ else {
+ // Capacity exhausted: we must reallocate the rows and
+ // make sure all the rows have the same capacity.
+ const dimension_type new_row_capacity
+ = compute_capacity(new_n_rows, max_num_columns());
+ for (dimension_type i = old_n_rows; i-- > 0; ) {
+ // FIXME: copying may be unnecessarily costly.
+ DB_Row<T> new_row(rows[i], new_n_rows, new_row_capacity);
+ swap(rows[i], new_row);
+ }
+ row_capacity = new_row_capacity;
+ }
+ // Rows have grown or shrunk.
+ row_size = new_n_rows;
+ }
+}
+
+template <typename T>
+void
+DB_Matrix<T>::resize_no_copy(const dimension_type new_n_rows) {
+ dimension_type old_n_rows = rows.size();
+
+ if (new_n_rows > old_n_rows) {
+ // Rows will be inserted.
+ if (new_n_rows <= row_capacity) {
+ // We can recycle the old rows.
+ if (rows.capacity() < new_n_rows) {
+ // Reallocation (of vector `rows') will take place.
+ std::vector<DB_Row<T> > new_rows;
+ new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
+ new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
+ // Construct the new rows (be careful: each new row must have
+ // the same capacity as each one of the old rows).
+ dimension_type i = new_n_rows;
+ while (i-- > old_n_rows)
+ new_rows[i].construct(new_n_rows, row_capacity);
+ // Steal the old rows.
+ ++i;
+ while (i-- > 0)
+ swap(new_rows[i], rows[i]);
+ // Put the new vector into place.
+ using std::swap;
+ swap(rows, new_rows);
+ }
+ else {
+ // Reallocation (of vector `rows') will NOT take place.
+ rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
+ // Be careful: each new row must have
+ // the same capacity as each one of the old rows.
+ for (dimension_type i = new_n_rows; i-- > old_n_rows; )
+ rows[i].construct(new_n_rows, row_capacity);
+ }
+ }
+ else {
+ // We cannot even recycle the old rows: allocate a new matrix and swap.
+ DB_Matrix new_matrix(new_n_rows);
+ m_swap(new_matrix);
+ return;
+ }
+ }
+ else if (new_n_rows < old_n_rows) {
+ // Drop some rows.
+ rows.resize(new_n_rows);
+ // Shrink the existing rows.
+ for (dimension_type i = new_n_rows; i-- > 0; )
+ rows[i].shrink(new_n_rows);
+ old_n_rows = new_n_rows;
+ }
+ // Here we have the right number of rows.
+ if (new_n_rows > row_size) {
+ // We need more columns.
+ if (new_n_rows <= row_capacity)
+ // But we have enough capacity: we resize existing rows.
+ for (dimension_type i = old_n_rows; i-- > 0; )
+ rows[i].expand_within_capacity(new_n_rows);
+ else {
+ // Capacity exhausted: we must reallocate the rows and
+ // make sure all the rows have the same capacity.
+ const dimension_type new_row_capacity
+ = compute_capacity(new_n_rows, max_num_columns());
+ for (dimension_type i = old_n_rows; i-- > 0; ) {
+ DB_Row<T> new_row(new_n_rows, new_row_capacity);
+ swap(rows[i], new_row);
+ }
+ row_capacity = new_row_capacity;
+ }
+ }
+ // DB_Rows have grown or shrunk.
+ row_size = new_n_rows;
+}
+
+template <typename T>
+void
+DB_Matrix<T>::ascii_dump(std::ostream& s) const {
+ const DB_Matrix<T>& x = *this;
+ const char separator = ' ';
+ const dimension_type nrows = x.num_rows();
+ s << nrows << separator << "\n";
+ for (dimension_type i = 0; i < nrows; ++i) {
+ for (dimension_type j = 0; j < nrows; ++j) {
+ using namespace IO_Operators;
+ s << x[i][j] << separator;
+ }
+ s << "\n";
+ }
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, DB_Matrix<T>)
+
+template <typename T>
+bool
+DB_Matrix<T>::ascii_load(std::istream& s) {
+ dimension_type nrows;
+ if (!(s >> nrows))
+ return false;
+ resize_no_copy(nrows);
+ DB_Matrix& x = *this;
+ for (dimension_type i = 0; i < nrows; ++i)
+ for (dimension_type j = 0; j < nrows; ++j) {
+ Result r = input(x[i][j], s, ROUND_CHECK);
+ if (result_relation(r) != VR_EQ || is_minus_infinity(x[i][j]))
+ return false;
+ }
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+bool
+operator==(const DB_Matrix<T>& x, const DB_Matrix<T>& y) {
+ const dimension_type x_num_rows = x.num_rows();
+ if (x_num_rows != y.num_rows())
+ return false;
+ for (dimension_type i = x_num_rows; i-- > 0; )
+ if (x[i] != y[i])
+ return false;
+ return true;
+}
+
+template <typename T>
+memory_size_type
+DB_Matrix<T>::external_memory_in_bytes() const {
+ memory_size_type n = rows.capacity() * sizeof(DB_Row<T>);
+ for (dimension_type i = num_rows(); i-- > 0; )
+ n += rows[i].external_memory_in_bytes(row_capacity);
+ return n;
+}
+
+template <typename T>
+bool
+DB_Matrix<T>::OK() const {
+#ifndef NDEBUG
+ using std::endl;
+ using std::cerr;
+#endif
+
+ // The matrix must be square.
+ if (num_rows() != row_size) {
+#ifndef NDEBUG
+ cerr << "DB_Matrix has fewer columns than rows:\n"
+ << "row_size is " << row_size
+ << ", num_rows() is " << num_rows() << "!"
+ << endl;
+#endif
+ return false;
+ }
+
+ const DB_Matrix& x = *this;
+ const dimension_type n_rows = x.num_rows();
+ for (dimension_type i = 0; i < n_rows; ++i) {
+ if (!x[i].OK(row_size, row_capacity))
+ return false;
+ }
+
+ // All checks passed.
+ return true;
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Parma_Polyhedra_Library::DB_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+std::ostream&
+IO_Operators::operator<<(std::ostream& s, const DB_Matrix<T>& c) {
+ const dimension_type n = c.num_rows();
+ for (dimension_type i = 0; i < n; ++i) {
+ for (dimension_type j = 0; j < n; ++j)
+ s << c[i][j] << " ";
+ s << "\n";
+ }
+ return s;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_DB_Matrix_templates_hh)
diff --git a/src/DB_Matrix_types.hh b/src/DB_Matrix_types.hh
new file mode 100644
index 0000000..afc4e2a
--- /dev/null
+++ b/src/DB_Matrix_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_DB_Matrix_types_hh
+#define PPL_DB_Matrix_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class DB_Matrix;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_DB_Matrix_types_hh)
diff --git a/src/DB_Row.defs.hh b/src/DB_Row.defs.hh
deleted file mode 100644
index d5002a3..0000000
--- a/src/DB_Row.defs.hh
+++ /dev/null
@@ -1,470 +0,0 @@
-/* DB_Row class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_DB_Row_defs_hh
-#define PPL_DB_Row_defs_hh 1
-
-#include "DB_Row.types.hh"
-#include "globals.types.hh"
-#include "Ptr_Iterator.defs.hh"
-#include <cstddef>
-#include <vector>
-
-#ifndef PPL_DB_ROW_EXTRA_DEBUG
-#ifdef PPL_ABI_BREAKING_EXTRA_DEBUG
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- When PPL_DB_ROW_EXTRA_DEBUG evaluates to <CODE>true</CODE>, each instance
- of the class DB_Row carries its own capacity; this enables extra
- consistency checks to be performed.
- \ingroup PPL_CXX_interface
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define PPL_DB_ROW_EXTRA_DEBUG 1
-#else // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
-#define PPL_DB_ROW_EXTRA_DEBUG 0
-#endif // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
-#endif // !defined(PPL_DB_ROW_EXTRA_DEBUG)
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The handler of the actual DB_Row implementation.
-/*! \ingroup PPL_CXX_interface
- Exception-safety is the only responsibility of this class: it has
- to ensure that its \p impl member is correctly deallocated.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Parma_Polyhedra_Library::DB_Row_Impl_Handler {
-public:
- //! Default constructor.
- DB_Row_Impl_Handler();
-
- //! Destructor.
- ~DB_Row_Impl_Handler();
-
- class Impl;
-
- //! A pointer to the actual implementation.
- Impl* impl;
-
-#if PPL_DB_ROW_EXTRA_DEBUG
- //! The capacity of \p impl (only available during debugging).
- dimension_type capacity_;
-#endif // PPL_DB_ROW_EXTRA_DEBUG
-
-private:
- //! Private and unimplemented: copy construction is not allowed.
- DB_Row_Impl_Handler(const DB_Row_Impl_Handler&);
-
- //! Private and unimplemented: copy assignment is not allowed.
- DB_Row_Impl_Handler& operator=(const DB_Row_Impl_Handler&);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The base class for the single rows of matrices.
-/*! \ingroup PPL_CXX_interface
- The class template DB_Row<T> allows for the efficient representation of
- the single rows of a DB_Matrix. It contains elements of type T stored
- as a vector. The class T is a family of extended numbers that
- must provide representation for
- \f$ -\infty \f$, \f$0\f$,\f$ +\infty \f$ (and, consequently for <EM>nan</EM>,
- <EM>not a number</EM>, since this arises as the ``result'' of
- undefined sums like \f$ +\infty + (-\infty) \f$).
-
- The class T must provide the following methods:
-
- \code
- T()
- \endcode
- is the default constructor: no assumption is made on the particular
- object constructed, provided <CODE>T().OK()</CODE> gives <CODE>true</CODE>
- (see below).
- \code
- ~T()
- \endcode
- is the destructor.
- \code
- bool is_nan() const
- \endcode
- returns <CODE>true</CODE> if and only \p *this represents
- the <EM>not a number</EM> value.
- \code
- bool OK() const
- \endcode
- returns <CODE>true</CODE> if and only if \p *this satisfies all
- its invariants.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Parma_Polyhedra_Library::DB_Row : private DB_Row_Impl_Handler<T> {
-public:
- //! Pre-constructs a row: construction must be completed by construct().
- DB_Row();
-
- //! \name Post-constructors.
- //@{
- //! Constructs properly a default-constructed element.
- /*!
- Builds a row with size \p sz and minimum capacity.
- */
- void construct(dimension_type sz);
-
- //! Constructs properly a default-constructed element.
- /*!
- \param sz
- The size of the row that will be constructed.
-
- \param capacity
- The minimum capacity of the row that will be constructed.
-
- The row that we are constructing has a minimum capacity of
- (i.e., it can contain at least) \p elements, \p sz of which
- will be constructed now.
- */
- void construct(dimension_type sz, dimension_type capacity);
-
- //! Constructs properly a conservative approximation of \p y.
- /*!
- \param y
- A row containing the elements whose upward approximations will
- be used to properly construct \p *this.
-
- \param capacity
- The capacity of the constructed row.
-
- It is assumed that \p capacity is greater than or equal to the
- size of \p y.
- */
- template <typename U>
- void construct_upward_approximation(const DB_Row<U>& y,
- dimension_type capacity);
-
- //@}
-
- //! Tight constructor: resizing will require reallocation.
- DB_Row(dimension_type sz);
-
- //! Sizing constructor with capacity.
- DB_Row(dimension_type sz, dimension_type capacity);
-
- //! Ordinary copy constructor.
- DB_Row(const DB_Row& y);
-
- //! Copy constructor with specified capacity.
- /*!
- It is assumed that \p capacity is greater than or equal to \p y size.
- */
- DB_Row(const DB_Row& y, dimension_type capacity);
-
- //! Copy constructor with specified size and capacity.
- /*!
- It is assumed that \p sz is greater than or equal to the size of \p y
- and, of course, that \p sz is less than or equal to \p capacity.
- Any new position is initialized to \f$+\infty\f$.
- */
- DB_Row(const DB_Row& y, dimension_type sz, dimension_type capacity);
-
- //! Destructor.
- ~DB_Row();
-
- //! Assignment operator.
- DB_Row& operator=(const DB_Row& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(DB_Row& y);
-
- //! Assigns the implementation of \p y to \p *this.
- void assign(DB_Row& y);
-
- /*! \brief
- Allocates memory for a default constructed DB_Row object,
- allowing for \p capacity coefficients at most.
-
- It is assumed that no allocation has been performed before
- (otherwise, a memory leak will occur).
- After execution, the size of the DB_Row object is zero.
- */
- void allocate(dimension_type capacity);
-
- //! Expands the row to size \p new_size.
- /*!
- Adds new positions to the implementation of the row
- obtaining a new row with size \p new_size.
- It is assumed that \p new_size is between the current size
- and capacity of the row. The new positions are initialized
- to \f$+\infty\f$.
- */
- void expand_within_capacity(dimension_type new_size);
-
- //! Shrinks the row by erasing elements at the end.
- /*!
- Destroys elements of the row implementation
- from position \p new_size to the end.
- It is assumed that \p new_size is not greater than the current size.
- */
- void shrink(dimension_type new_size);
-
- //! Returns the size() of the largest possible DB_Row.
- static dimension_type max_size();
-
- //! Gives the number of coefficients currently in use.
- dimension_type size() const;
-
- //! \name Subscript operators.
- //@{
- //! Returns a reference to the element of the row indexed by \p k.
- T& operator[](dimension_type k);
-
- //! Returns a constant reference to the element of the row indexed by \p k.
- const T& operator[](dimension_type k) const;
- //@}
-
- //! A (non const) random access iterator to access the row's elements.
- typedef Implementation::Ptr_Iterator<T*> iterator;
-
- //! A const random access iterator to access the row's elements.
- typedef Implementation::Ptr_Iterator<const T*> const_iterator;
-
- /*! \brief
- Returns the const iterator pointing to the first element,
- if \p *this is not empty;
- otherwise, returns the past-the-end const iterator.
- */
- iterator begin();
-
- //! Returns the past-the-end iterator.
- iterator end();
-
- /*! \brief
- Returns the const iterator pointing to the first element,
- if \p *this is not empty;
- otherwise, returns the past-the-end const iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const iterator.
- const_iterator end() const;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- /*! \brief
- Returns a lower bound to the size in bytes of the memory
- managed by \p *this.
- */
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns the total size in bytes of the memory occupied by \p *this,
- provided the capacity of \p *this is given by \p capacity.
- */
- memory_size_type total_memory_in_bytes(dimension_type capacity) const;
-
- /*! \brief
- Returns the size in bytes of the memory managed by \p *this,
- provided the capacity of \p *this is given by \p capacity.
- */
- memory_size_type external_memory_in_bytes(dimension_type capacity) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK(dimension_type row_size, dimension_type row_capacity) const;
-
-private:
- template <typename U> friend class Parma_Polyhedra_Library::DB_Row;
-
- //! Exception-safe copy construction mechanism for coefficients.
- void copy_construct_coefficients(const DB_Row& y);
-
-#if PPL_DB_ROW_EXTRA_DEBUG
- //! Returns the capacity of the row (only available during debugging).
- dimension_type capacity() const;
-#endif // PPL_DB_ROW_EXTRA_DEBUG
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates DB_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-void swap(DB_Row<T>& x, DB_Row<T>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps objects referred by \p x and \p y.
-/*! \relates DB_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-void iter_swap(typename std::vector<DB_Row<T> >::iterator x,
- typename std::vector<DB_Row<T> >::iterator y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! \name Classical comparison operators.
-//@{
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-/*! \relates DB_Row */
-template <typename T>
-bool operator==(const DB_Row<T>& x, const DB_Row<T>& y);
-
-/*! \relates DB_Row */
-template <typename T>
-bool operator!=(const DB_Row<T>& x, const DB_Row<T>& y);
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//@}
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-} // namespace Parma_Polyhedra_Library
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The real implementation of a DB_Row object.
-/*! \ingroup PPL_CXX_interface
- The class DB_Row_Impl_Handler::Impl provides the implementation of
- DB_Row objects and, in particular, of the corresponding memory
- allocation functions.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Parma_Polyhedra_Library::DB_Row_Impl_Handler<T>::Impl {
-public:
- //! \name Custom allocator and deallocator.
- //@{
-
- /*! \brief
- Allocates a chunk of memory able to contain \p capacity T objects
- beyond the specified \p fixed_size and returns a pointer to the new
- allocated memory.
- */
- static void* operator new(size_t fixed_size, dimension_type capacity);
-
- //! Uses the standard delete operator to free the memory \p p points to.
- static void operator delete(void* p);
-
- /*! \brief
- Placement version: uses the standard operator delete to free
- the memory \p p points to.
- */
- static void operator delete(void* p, dimension_type capacity);
- //@}
-
- //! Default constructor.
- Impl();
-
- //! Destructor.
- /*!
- Uses <CODE>shrink()</CODE> method with argument \f$0\f$
- to delete all the row elements.
- */
- ~Impl();
-
- //! Expands the row to size \p new_size.
- /*!
- It is assumed that \p new_size is between the current size and capacity.
- */
- void expand_within_capacity(dimension_type new_size);
-
- //! Shrinks the row by erasing elements at the end.
- /*!
- It is assumed that \p new_size is not greater than the current size.
- */
- void shrink(dimension_type new_size);
-
- //! Exception-safe copy construction mechanism for coefficients.
- void copy_construct_coefficients(const Impl& y);
-
- /*! \brief
- Exception-safe upward approximation construction mechanism
- for coefficients.
- */
- template <typename U>
- void construct_upward_approximation(const U& y);
-
- //! Returns the size() of the largest possible Impl.
- static dimension_type max_size();
-
- //! \name Size accessors.
- //@{
- //! Returns the actual size of \p this.
- dimension_type size() const;
-
- //! Sets to \p new_sz the actual size of \p *this.
- void set_size(dimension_type new_sz);
-
- //! Increments the size of \p *this by 1.
- void bump_size();
- //@}
-
- //! \name Subscript operators.
- //@{
- //! Returns a reference to the element of \p *this indexed by \p k.
- T& operator[](dimension_type k);
-
- //! Returns a constant reference to the element of \p *this indexed by \p k.
- const T& operator[](dimension_type k) const;
- //@}
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes(dimension_type capacity) const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
-private:
- friend class DB_Row<T>;
-
- //! The number of coefficients in the row.
- dimension_type size_;
-
- //! The vector of coefficients.
- T vec_[
-#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- 0
-#else
- 1
-#endif
- ];
-
- //! Private and unimplemented: copy construction is not allowed.
- Impl(const Impl& y);
-
- //! Private and unimplemented: assignment is not allowed.
- Impl& operator=(const Impl&);
-
- //! Exception-safe copy construction mechanism.
- void copy_construct(const Impl& y);
-};
-
-#include "DB_Row.inlines.hh"
-#include "DB_Row.templates.hh"
-
-#endif // !defined(PPL_DB_Row_defs_hh)
diff --git a/src/DB_Row.inlines.hh b/src/DB_Row.inlines.hh
deleted file mode 100644
index 5522dad..0000000
--- a/src/DB_Row.inlines.hh
+++ /dev/null
@@ -1,428 +0,0 @@
-/* DB_Row class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_DB_Row_inlines_hh
-#define PPL_DB_Row_inlines_hh 1
-
-#include "checked.defs.hh"
-#include "assert.hh"
-#include <cstddef>
-#include <limits>
-#include <algorithm>
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline void*
-DB_Row_Impl_Handler<T>::Impl::operator new(const size_t fixed_size,
- const dimension_type capacity) {
-#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- return ::operator new(fixed_size + capacity*sizeof(T));
-#else
- PPL_ASSERT(capacity >= 1);
- return ::operator new(fixed_size + (capacity-1)*sizeof(T));
-#endif
-}
-
-template <typename T>
-inline void
-DB_Row_Impl_Handler<T>::Impl::operator delete(void* p) {
- ::operator delete(p);
-}
-
-template <typename T>
-inline void
-DB_Row_Impl_Handler<T>::Impl::operator delete(void* p, dimension_type) {
- ::operator delete(p);
-}
-
-template <typename T>
-inline memory_size_type
-DB_Row_Impl_Handler<T>::Impl
-::total_memory_in_bytes(dimension_type capacity) const {
- return
- sizeof(*this)
- + capacity*sizeof(T)
-#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- - 1*sizeof(T)
-#endif
- + external_memory_in_bytes();
-}
-
-template <typename T>
-inline memory_size_type
-DB_Row_Impl_Handler<T>::Impl::total_memory_in_bytes() const {
- // In general, this is a lower bound, as the capacity of *this
- // may be strictly greater than `size_'
- return total_memory_in_bytes(size_);
-}
-
-template <typename T>
-inline dimension_type
-DB_Row_Impl_Handler<T>::Impl::max_size() {
- return std::numeric_limits<size_t>::max() / sizeof(T);
-}
-
-template <typename T>
-inline dimension_type
-DB_Row_Impl_Handler<T>::Impl::size() const {
- return size_;
-}
-
-template <typename T>
-inline void
-DB_Row_Impl_Handler<T>::Impl::set_size(const dimension_type new_sz) {
- size_ = new_sz;
-}
-
-template <typename T>
-inline void
-DB_Row_Impl_Handler<T>::Impl::bump_size() {
- ++size_;
-}
-
-template <typename T>
-inline
-DB_Row_Impl_Handler<T>::Impl::Impl()
- : size_(0) {
-}
-
-template <typename T>
-inline
-DB_Row_Impl_Handler<T>::Impl::~Impl() {
- shrink(0);
-}
-
-template <typename T>
-inline
-DB_Row_Impl_Handler<T>::DB_Row_Impl_Handler()
- : impl(0) {
-#if PPL_DB_ROW_EXTRA_DEBUG
- capacity_ = 0;
-#endif
-}
-
-template <typename T>
-inline
-DB_Row_Impl_Handler<T>::~DB_Row_Impl_Handler() {
- delete impl;
-}
-
-template <typename T>
-inline T&
-DB_Row_Impl_Handler<T>::Impl::operator[](const dimension_type k) {
- PPL_ASSERT(k < size());
- return vec_[k];
-}
-
-template <typename T>
-inline const T&
-DB_Row_Impl_Handler<T>::Impl::operator[](const dimension_type k) const {
- PPL_ASSERT(k < size());
- return vec_[k];
-}
-
-template <typename T>
-inline dimension_type
-DB_Row<T>::max_size() {
- return DB_Row_Impl_Handler<T>::Impl::max_size();
-}
-
-template <typename T>
-inline dimension_type
-DB_Row<T>::size() const {
- return this->impl->size();
-}
-
-#if PPL_DB_ROW_EXTRA_DEBUG
-template <typename T>
-inline dimension_type
-DB_Row<T>::capacity() const {
- return this->capacity_;
-}
-#endif // PPL_DB_ROW_EXTRA_DEBUG
-
-template <typename T>
-inline
-DB_Row<T>::DB_Row()
- : DB_Row_Impl_Handler<T>() {
-}
-
-template <typename T>
-inline void
-DB_Row<T>::allocate(
-#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- const
-#endif
- dimension_type capacity) {
- DB_Row<T>& x = *this;
- PPL_ASSERT(capacity <= max_size());
-#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- if (capacity == 0)
- ++capacity;
-#endif
- PPL_ASSERT(x.impl == 0);
- x.impl = new (capacity) typename DB_Row_Impl_Handler<T>::Impl();
-#if PPL_DB_ROW_EXTRA_DEBUG
- PPL_ASSERT(x.capacity_ == 0);
- x.capacity_ = capacity;
-#endif
-}
-
-template <typename T>
-inline void
-DB_Row<T>::expand_within_capacity(const dimension_type new_size) {
- DB_Row<T>& x = *this;
- PPL_ASSERT(x.impl);
-#if PPL_DB_ROW_EXTRA_DEBUG
- PPL_ASSERT(new_size <= x.capacity_);
-#endif
- x.impl->expand_within_capacity(new_size);
-}
-
-template <typename T>
-inline void
-DB_Row<T>::copy_construct_coefficients(const DB_Row& y) {
- DB_Row<T>& x = *this;
- PPL_ASSERT(x.impl && y.impl);
-#if PPL_DB_ROW_EXTRA_DEBUG
- PPL_ASSERT(y.size() <= x.capacity_);
-#endif
- x.impl->copy_construct_coefficients(*(y.impl));
-}
-
-template <typename T>
-template <typename U>
-inline void
-DB_Row<T>::construct_upward_approximation(const DB_Row<U>& y,
- const dimension_type capacity) {
- DB_Row<T>& x = *this;
- PPL_ASSERT(y.size() <= capacity && capacity <= max_size());
- allocate(capacity);
- PPL_ASSERT(y.impl);
- x.impl->construct_upward_approximation(*(y.impl));
-}
-
-template <typename T>
-inline void
-DB_Row<T>::construct(const dimension_type sz,
- const dimension_type capacity) {
- PPL_ASSERT(sz <= capacity && capacity <= max_size());
- allocate(capacity);
- expand_within_capacity(sz);
-}
-
-template <typename T>
-inline void
-DB_Row<T>::construct(const dimension_type sz) {
- construct(sz, sz);
-}
-
-template <typename T>
-inline
-DB_Row<T>::DB_Row(const dimension_type sz,
- const dimension_type capacity)
- : DB_Row_Impl_Handler<T>() {
- construct(sz, capacity);
-}
-
-template <typename T>
-inline
-DB_Row<T>::DB_Row(const dimension_type sz) {
- construct(sz);
-}
-
-template <typename T>
-inline
-DB_Row<T>::DB_Row(const DB_Row& y)
- : DB_Row_Impl_Handler<T>() {
- if (y.impl != 0) {
- allocate(compute_capacity(y.size(), max_size()));
- copy_construct_coefficients(y);
- }
-}
-
-template <typename T>
-inline
-DB_Row<T>::DB_Row(const DB_Row& y,
- const dimension_type capacity)
- : DB_Row_Impl_Handler<T>() {
- PPL_ASSERT(y.impl);
- PPL_ASSERT(y.size() <= capacity && capacity <= max_size());
- allocate(capacity);
- copy_construct_coefficients(y);
-}
-
-template <typename T>
-inline
-DB_Row<T>::DB_Row(const DB_Row& y,
- const dimension_type sz,
- const dimension_type capacity)
- : DB_Row_Impl_Handler<T>() {
- PPL_ASSERT(y.impl);
- PPL_ASSERT(y.size() <= sz && sz <= capacity && capacity <= max_size());
- allocate(capacity);
- copy_construct_coefficients(y);
- expand_within_capacity(sz);
-}
-
-template <typename T>
-inline
-DB_Row<T>::~DB_Row() {
-}
-
-template <typename T>
-inline void
-DB_Row<T>::shrink(const dimension_type new_size) {
- DB_Row<T>& x = *this;
- PPL_ASSERT(x.impl);
- x.impl->shrink(new_size);
-}
-
-template <typename T>
-inline void
-DB_Row<T>::m_swap(DB_Row& y) {
- using std::swap;
- DB_Row<T>& x = *this;
- swap(x.impl, y.impl);
-#if PPL_DB_ROW_EXTRA_DEBUG
- swap(x.capacity_, y.capacity_);
-#endif
-}
-
-template <typename T>
-inline void
-DB_Row<T>::assign(DB_Row& y) {
- DB_Row<T>& x = *this;
- x.impl = y.impl;
-#if PPL_DB_ROW_EXTRA_DEBUG
- x.capacity_ = y.capacity_;
-#endif
-}
-
-template <typename T>
-inline DB_Row<T>&
-DB_Row<T>::operator=(const DB_Row& y) {
- DB_Row tmp(y);
- m_swap(tmp);
- return *this;
-}
-
-template <typename T>
-inline T&
-DB_Row<T>::operator[](const dimension_type k) {
- DB_Row<T>& x = *this;
- return (*x.impl)[k];
-}
-
-template <typename T>
-inline const T&
-DB_Row<T>::operator[](const dimension_type k) const {
- const DB_Row<T>& x = *this;
- return (*x.impl)[k];
-}
-
-template <typename T>
-inline typename DB_Row<T>::iterator
-DB_Row<T>::begin() {
- DB_Row<T>& x = *this;
- return iterator(x.impl->vec_);
-}
-
-template <typename T>
-inline typename DB_Row<T>::iterator
-DB_Row<T>::end() {
- DB_Row<T>& x = *this;
- return iterator(x.impl->vec_ + x.impl->size_);
-}
-
-template <typename T>
-inline typename DB_Row<T>::const_iterator
-DB_Row<T>::begin() const {
- const DB_Row<T>& x = *this;
- return const_iterator(x.impl->vec_);
-}
-
-template <typename T>
-inline typename DB_Row<T>::const_iterator
-DB_Row<T>::end() const {
- const DB_Row<T>& x = *this;
- return const_iterator(x.impl->vec_ + x.impl->size_);
-}
-
-template <typename T>
-inline memory_size_type
-DB_Row<T>::external_memory_in_bytes(dimension_type capacity) const {
- const DB_Row<T>& x = *this;
- return x.impl->total_memory_in_bytes(capacity);
-}
-
-template <typename T>
-inline memory_size_type
-DB_Row<T>::total_memory_in_bytes(dimension_type capacity) const {
- return sizeof(*this) + external_memory_in_bytes(capacity);
-}
-
-template <typename T>
-inline memory_size_type
-DB_Row<T>::external_memory_in_bytes() const {
- const DB_Row<T>& x = *this;
-#if PPL_DB_ROW_EXTRA_DEBUG
- return x.impl->total_memory_in_bytes(x.capacity_);
-#else
- return x.impl->total_memory_in_bytes();
-#endif
-}
-
-template <typename T>
-inline memory_size_type
-DB_Row<T>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-/*! \relates DB_Row */
-template <typename T>
-inline bool
-operator!=(const DB_Row<T>& x, const DB_Row<T>& y) {
- return !(x == y);
-}
-
-/*! \relates DB_Row */
-template <typename T>
-inline void
-swap(DB_Row<T>& x, DB_Row<T>& y) {
- x.m_swap(y);
-}
-
-/*! \relates DB_Row */
-template <typename T>
-inline void
-iter_swap(typename std::vector<DB_Row<T> >::iterator x,
- typename std::vector<DB_Row<T> >::iterator y) {
- swap(*x, *y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_DB_Row_inlines_hh)
diff --git a/src/DB_Row.templates.hh b/src/DB_Row.templates.hh
deleted file mode 100644
index 97eec72..0000000
--- a/src/DB_Row.templates.hh
+++ /dev/null
@@ -1,215 +0,0 @@
-/* DB_Row class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_DB_Row_templates_hh
-#define PPL_DB_Row_templates_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-template <typename U>
-void
-DB_Row_Impl_Handler<T>::Impl::construct_upward_approximation(const U& y) {
- const dimension_type y_size = y.size();
-#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = 0; i < y_size; ++i) {
- construct(vec_[i], y[i], ROUND_UP);
- bump_size();
- }
-#else // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- if (y_size > 0) {
- assign_r(vec_[0], y[0], ROUND_UP);
- bump_size();
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = 1; i < y_size; ++i) {
- construct(vec_[i], y[i], ROUND_UP);
- bump_size();
- }
- }
-#endif // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
-}
-
-template <typename T>
-void
-DB_Row_Impl_Handler<T>::
-Impl::expand_within_capacity(const dimension_type new_size) {
- PPL_ASSERT(size() <= new_size && new_size <= max_size());
-#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- if (size() == 0 && new_size > 0) {
- // vec_[0] is already constructed: we just need to assign +infinity.
- assign_r(vec_[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
- bump_size();
- }
-#endif
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = size(); i < new_size; ++i) {
- new (&vec_[i]) T(PLUS_INFINITY, ROUND_NOT_NEEDED);
- bump_size();
- }
-}
-
-template <typename T>
-void
-DB_Row_Impl_Handler<T>::Impl::shrink(dimension_type new_size) {
- const dimension_type old_size = size();
- PPL_ASSERT(new_size <= old_size);
- // Since ~T() does not throw exceptions, nothing here does.
- set_size(new_size);
-#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- // Make sure we do not try to destroy vec_[0].
- if (new_size == 0)
- ++new_size;
-#endif
- // We assume construction was done "forward".
- // We thus perform destruction "backward".
- for (dimension_type i = old_size; i-- > new_size; )
- vec_[i].~T();
-}
-
-template <typename T>
-void
-DB_Row_Impl_Handler<T>::Impl::copy_construct_coefficients(const Impl& y) {
- const dimension_type y_size = y.size();
-#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = 0; i < y_size; ++i) {
- new (&vec_[i]) T(y.vec_[i]);
- bump_size();
- }
-#else // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- if (y_size > 0) {
- vec_[0] = y.vec_[0];
- bump_size();
- // Construct in direct order: will destroy in reverse order.
- for (dimension_type i = 1; i < y_size; ++i) {
- new (&vec_[i]) T(y.vec_[i]);
- bump_size();
- }
- }
-#endif // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
-}
-
-template <typename T>
-memory_size_type
-DB_Row_Impl_Handler<T>::Impl::external_memory_in_bytes() const {
- memory_size_type n = 0;
- for (dimension_type i = size(); i-- > 0; )
- n += Parma_Polyhedra_Library::external_memory_in_bytes(vec_[i]);
- return n;
-}
-
-template <typename T>
-bool
-DB_Row<T>::OK(const dimension_type row_size,
- const dimension_type
-#if PPL_DB_ROW_EXTRA_DEBUG
- row_capacity
-#endif
- ) const {
-#ifndef NDEBUG
- using std::endl;
- using std::cerr;
-#endif
-
- const DB_Row<T>& x = *this;
- bool is_broken = false;
-
-#if PPL_DB_ROW_EXTRA_DEBUG
-# if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- if (x.capacity_ == 0) {
- cerr << "Illegal row capacity: is 0, should be at least 1"
- << endl;
- is_broken = true;
- }
- else if (x.capacity_ == 1 && row_capacity == 0)
- // This is fine.
- ;
- else
-# endif // !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- if (x.capacity_ != row_capacity) {
- cerr << "DB_Row capacity mismatch: is " << x.capacity_
- << ", should be " << row_capacity << "."
- << endl;
- is_broken = true;
- }
-#endif // PPL_DB_ROW_EXTRA_DEBUG
-
- if (x.size() != row_size) {
-#ifndef NDEBUG
- cerr << "DB_Row size mismatch: is " << x.size()
- << ", should be " << row_size << "."
- << endl;
-#endif
- is_broken = true;
- }
-
-#if PPL_DB_ROW_EXTRA_DEBUG
- if (x.capacity_ < x.size()) {
-#ifndef NDEBUG
- cerr << "DB_Row is completely broken: capacity is " << x.capacity_
- << ", size is " << x.size() << "."
- << endl;
-#endif
- is_broken = true;
- }
-#endif // PPL_DB_ROW_EXTRA_DEBUG
-
- for (dimension_type i = x.size(); i-- > 0; ) {
- const T& element = x[i];
- // Not OK is bad.
- if (!element.OK()) {
- is_broken = true;
- break;
- }
- // In addition, nans should never occur.
- if (is_not_a_number(element)) {
-#ifndef NDEBUG
- cerr << "Not-a-number found in DB_Row."
- << endl;
-#endif
- is_broken = true;
- break;
- }
- }
-
- return !is_broken;
-}
-
-/*! \relates DB_Row */
-template <typename T>
-bool
-operator==(const DB_Row<T>& x, const DB_Row<T>& y) {
- if (x.size() != y.size())
- return false;
- for (dimension_type i = x.size(); i-- > 0; )
- if (x[i] != y[i])
- return false;
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_DB_Row_templates_hh)
diff --git a/src/DB_Row.types.hh b/src/DB_Row.types.hh
deleted file mode 100644
index 99303a1..0000000
--- a/src/DB_Row.types.hh
+++ /dev/null
@@ -1,26 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_DB_Row_types_hh
-#define PPL_DB_Row_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-class DB_Row_Impl_Handler;
-
-template <typename T>
-class DB_Row;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_DB_Row_types_hh)
diff --git a/src/DB_Row_defs.hh b/src/DB_Row_defs.hh
new file mode 100644
index 0000000..d756481
--- /dev/null
+++ b/src/DB_Row_defs.hh
@@ -0,0 +1,470 @@
+/* DB_Row class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_DB_Row_defs_hh
+#define PPL_DB_Row_defs_hh 1
+
+#include "DB_Row_types.hh"
+#include "globals_types.hh"
+#include "Ptr_Iterator_defs.hh"
+#include <cstddef>
+#include <vector>
+
+#ifndef PPL_DB_ROW_EXTRA_DEBUG
+#ifdef PPL_ABI_BREAKING_EXTRA_DEBUG
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ When PPL_DB_ROW_EXTRA_DEBUG evaluates to <CODE>true</CODE>, each instance
+ of the class DB_Row carries its own capacity; this enables extra
+ consistency checks to be performed.
+ \ingroup PPL_CXX_interface
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+#define PPL_DB_ROW_EXTRA_DEBUG 1
+#else // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
+#define PPL_DB_ROW_EXTRA_DEBUG 0
+#endif // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
+#endif // !defined(PPL_DB_ROW_EXTRA_DEBUG)
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The handler of the actual DB_Row implementation.
+/*! \ingroup PPL_CXX_interface
+ Exception-safety is the only responsibility of this class: it has
+ to ensure that its \p impl member is correctly deallocated.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::DB_Row_Impl_Handler {
+public:
+ //! Default constructor.
+ DB_Row_Impl_Handler();
+
+ //! Destructor.
+ ~DB_Row_Impl_Handler();
+
+ class Impl;
+
+ //! A pointer to the actual implementation.
+ Impl* impl;
+
+#if PPL_DB_ROW_EXTRA_DEBUG
+ //! The capacity of \p impl (only available during debugging).
+ dimension_type capacity_;
+#endif // PPL_DB_ROW_EXTRA_DEBUG
+
+private:
+ //! Private and unimplemented: copy construction is not allowed.
+ DB_Row_Impl_Handler(const DB_Row_Impl_Handler&);
+
+ //! Private and unimplemented: copy assignment is not allowed.
+ DB_Row_Impl_Handler& operator=(const DB_Row_Impl_Handler&);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The base class for the single rows of matrices.
+/*! \ingroup PPL_CXX_interface
+ The class template DB_Row<T> allows for the efficient representation of
+ the single rows of a DB_Matrix. It contains elements of type T stored
+ as a vector. The class T is a family of extended numbers that
+ must provide representation for
+ \f$ -\infty \f$, \f$0\f$,\f$ +\infty \f$ (and, consequently for <EM>nan</EM>,
+ <EM>not a number</EM>, since this arises as the ``result'' of
+ undefined sums like \f$ +\infty + (-\infty) \f$).
+
+ The class T must provide the following methods:
+
+ \code
+ T()
+ \endcode
+ is the default constructor: no assumption is made on the particular
+ object constructed, provided <CODE>T().OK()</CODE> gives <CODE>true</CODE>
+ (see below).
+ \code
+ ~T()
+ \endcode
+ is the destructor.
+ \code
+ bool is_nan() const
+ \endcode
+ returns <CODE>true</CODE> if and only \p *this represents
+ the <EM>not a number</EM> value.
+ \code
+ bool OK() const
+ \endcode
+ returns <CODE>true</CODE> if and only if \p *this satisfies all
+ its invariants.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::DB_Row : private DB_Row_Impl_Handler<T> {
+public:
+ //! Pre-constructs a row: construction must be completed by construct().
+ DB_Row();
+
+ //! \name Post-constructors.
+ //@{
+ //! Constructs properly a default-constructed element.
+ /*!
+ Builds a row with size \p sz and minimum capacity.
+ */
+ void construct(dimension_type sz);
+
+ //! Constructs properly a default-constructed element.
+ /*!
+ \param sz
+ The size of the row that will be constructed.
+
+ \param capacity
+ The minimum capacity of the row that will be constructed.
+
+ The row that we are constructing has a minimum capacity of
+ (i.e., it can contain at least) \p elements, \p sz of which
+ will be constructed now.
+ */
+ void construct(dimension_type sz, dimension_type capacity);
+
+ //! Constructs properly a conservative approximation of \p y.
+ /*!
+ \param y
+ A row containing the elements whose upward approximations will
+ be used to properly construct \p *this.
+
+ \param capacity
+ The capacity of the constructed row.
+
+ It is assumed that \p capacity is greater than or equal to the
+ size of \p y.
+ */
+ template <typename U>
+ void construct_upward_approximation(const DB_Row<U>& y,
+ dimension_type capacity);
+
+ //@}
+
+ //! Tight constructor: resizing will require reallocation.
+ DB_Row(dimension_type sz);
+
+ //! Sizing constructor with capacity.
+ DB_Row(dimension_type sz, dimension_type capacity);
+
+ //! Ordinary copy constructor.
+ DB_Row(const DB_Row& y);
+
+ //! Copy constructor with specified capacity.
+ /*!
+ It is assumed that \p capacity is greater than or equal to \p y size.
+ */
+ DB_Row(const DB_Row& y, dimension_type capacity);
+
+ //! Copy constructor with specified size and capacity.
+ /*!
+ It is assumed that \p sz is greater than or equal to the size of \p y
+ and, of course, that \p sz is less than or equal to \p capacity.
+ Any new position is initialized to \f$+\infty\f$.
+ */
+ DB_Row(const DB_Row& y, dimension_type sz, dimension_type capacity);
+
+ //! Destructor.
+ ~DB_Row();
+
+ //! Assignment operator.
+ DB_Row& operator=(const DB_Row& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(DB_Row& y);
+
+ //! Assigns the implementation of \p y to \p *this.
+ void assign(DB_Row& y);
+
+ /*! \brief
+ Allocates memory for a default constructed DB_Row object,
+ allowing for \p capacity coefficients at most.
+
+ It is assumed that no allocation has been performed before
+ (otherwise, a memory leak will occur).
+ After execution, the size of the DB_Row object is zero.
+ */
+ void allocate(dimension_type capacity);
+
+ //! Expands the row to size \p new_size.
+ /*!
+ Adds new positions to the implementation of the row
+ obtaining a new row with size \p new_size.
+ It is assumed that \p new_size is between the current size
+ and capacity of the row. The new positions are initialized
+ to \f$+\infty\f$.
+ */
+ void expand_within_capacity(dimension_type new_size);
+
+ //! Shrinks the row by erasing elements at the end.
+ /*!
+ Destroys elements of the row implementation
+ from position \p new_size to the end.
+ It is assumed that \p new_size is not greater than the current size.
+ */
+ void shrink(dimension_type new_size);
+
+ //! Returns the size() of the largest possible DB_Row.
+ static dimension_type max_size();
+
+ //! Gives the number of coefficients currently in use.
+ dimension_type size() const;
+
+ //! \name Subscript operators.
+ //@{
+ //! Returns a reference to the element of the row indexed by \p k.
+ T& operator[](dimension_type k);
+
+ //! Returns a constant reference to the element of the row indexed by \p k.
+ const T& operator[](dimension_type k) const;
+ //@}
+
+ //! A (non const) random access iterator to access the row's elements.
+ typedef Implementation::Ptr_Iterator<T*> iterator;
+
+ //! A const random access iterator to access the row's elements.
+ typedef Implementation::Ptr_Iterator<const T*> const_iterator;
+
+ /*! \brief
+ Returns the const iterator pointing to the first element,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const iterator.
+ */
+ iterator begin();
+
+ //! Returns the past-the-end iterator.
+ iterator end();
+
+ /*! \brief
+ Returns the const iterator pointing to the first element,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const iterator.
+ const_iterator end() const;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a lower bound to the size in bytes of the memory
+ managed by \p *this.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns the total size in bytes of the memory occupied by \p *this,
+ provided the capacity of \p *this is given by \p capacity.
+ */
+ memory_size_type total_memory_in_bytes(dimension_type capacity) const;
+
+ /*! \brief
+ Returns the size in bytes of the memory managed by \p *this,
+ provided the capacity of \p *this is given by \p capacity.
+ */
+ memory_size_type external_memory_in_bytes(dimension_type capacity) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK(dimension_type row_size, dimension_type row_capacity) const;
+
+private:
+ template <typename U> friend class Parma_Polyhedra_Library::DB_Row;
+
+ //! Exception-safe copy construction mechanism for coefficients.
+ void copy_construct_coefficients(const DB_Row& y);
+
+#if PPL_DB_ROW_EXTRA_DEBUG
+ //! Returns the capacity of the row (only available during debugging).
+ dimension_type capacity() const;
+#endif // PPL_DB_ROW_EXTRA_DEBUG
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates DB_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+void swap(DB_Row<T>& x, DB_Row<T>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps objects referred by \p x and \p y.
+/*! \relates DB_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+void iter_swap(typename std::vector<DB_Row<T> >::iterator x,
+ typename std::vector<DB_Row<T> >::iterator y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! \name Classical comparison operators.
+//@{
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+/*! \relates DB_Row */
+template <typename T>
+bool operator==(const DB_Row<T>& x, const DB_Row<T>& y);
+
+/*! \relates DB_Row */
+template <typename T>
+bool operator!=(const DB_Row<T>& x, const DB_Row<T>& y);
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//@}
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+} // namespace Parma_Polyhedra_Library
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The real implementation of a DB_Row object.
+/*! \ingroup PPL_CXX_interface
+ The class DB_Row_Impl_Handler::Impl provides the implementation of
+ DB_Row objects and, in particular, of the corresponding memory
+ allocation functions.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::DB_Row_Impl_Handler<T>::Impl {
+public:
+ //! \name Custom allocator and deallocator.
+ //@{
+
+ /*! \brief
+ Allocates a chunk of memory able to contain \p capacity T objects
+ beyond the specified \p fixed_size and returns a pointer to the new
+ allocated memory.
+ */
+ static void* operator new(size_t fixed_size, dimension_type capacity);
+
+ //! Uses the standard delete operator to free the memory \p p points to.
+ static void operator delete(void* p);
+
+ /*! \brief
+ Placement version: uses the standard operator delete to free
+ the memory \p p points to.
+ */
+ static void operator delete(void* p, dimension_type capacity);
+ //@}
+
+ //! Default constructor.
+ Impl();
+
+ //! Destructor.
+ /*!
+ Uses <CODE>shrink()</CODE> method with argument \f$0\f$
+ to delete all the row elements.
+ */
+ ~Impl();
+
+ //! Expands the row to size \p new_size.
+ /*!
+ It is assumed that \p new_size is between the current size and capacity.
+ */
+ void expand_within_capacity(dimension_type new_size);
+
+ //! Shrinks the row by erasing elements at the end.
+ /*!
+ It is assumed that \p new_size is not greater than the current size.
+ */
+ void shrink(dimension_type new_size);
+
+ //! Exception-safe copy construction mechanism for coefficients.
+ void copy_construct_coefficients(const Impl& y);
+
+ /*! \brief
+ Exception-safe upward approximation construction mechanism
+ for coefficients.
+ */
+ template <typename U>
+ void construct_upward_approximation(const U& y);
+
+ //! Returns the size() of the largest possible Impl.
+ static dimension_type max_size();
+
+ //! \name Size accessors.
+ //@{
+ //! Returns the actual size of \p this.
+ dimension_type size() const;
+
+ //! Sets to \p new_sz the actual size of \p *this.
+ void set_size(dimension_type new_sz);
+
+ //! Increments the size of \p *this by 1.
+ void bump_size();
+ //@}
+
+ //! \name Subscript operators.
+ //@{
+ //! Returns a reference to the element of \p *this indexed by \p k.
+ T& operator[](dimension_type k);
+
+ //! Returns a constant reference to the element of \p *this indexed by \p k.
+ const T& operator[](dimension_type k) const;
+ //@}
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes(dimension_type capacity) const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+private:
+ friend class DB_Row<T>;
+
+ //! The number of coefficients in the row.
+ dimension_type size_;
+
+ //! The vector of coefficients.
+ T vec_[
+#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ 0
+#else
+ 1
+#endif
+ ];
+
+ //! Private and unimplemented: copy construction is not allowed.
+ Impl(const Impl& y);
+
+ //! Private and unimplemented: assignment is not allowed.
+ Impl& operator=(const Impl&);
+
+ //! Exception-safe copy construction mechanism.
+ void copy_construct(const Impl& y);
+};
+
+#include "DB_Row_inlines.hh"
+#include "DB_Row_templates.hh"
+
+#endif // !defined(PPL_DB_Row_defs_hh)
diff --git a/src/DB_Row_inlines.hh b/src/DB_Row_inlines.hh
new file mode 100644
index 0000000..1ceeb7e
--- /dev/null
+++ b/src/DB_Row_inlines.hh
@@ -0,0 +1,428 @@
+/* DB_Row class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_DB_Row_inlines_hh
+#define PPL_DB_Row_inlines_hh 1
+
+#include "checked_defs.hh"
+#include "assert.hh"
+#include <cstddef>
+#include <limits>
+#include <algorithm>
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline void*
+DB_Row_Impl_Handler<T>::Impl::operator new(const size_t fixed_size,
+ const dimension_type capacity) {
+#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ return ::operator new(fixed_size + capacity*sizeof(T));
+#else
+ PPL_ASSERT(capacity >= 1);
+ return ::operator new(fixed_size + (capacity-1)*sizeof(T));
+#endif
+}
+
+template <typename T>
+inline void
+DB_Row_Impl_Handler<T>::Impl::operator delete(void* p) {
+ ::operator delete(p);
+}
+
+template <typename T>
+inline void
+DB_Row_Impl_Handler<T>::Impl::operator delete(void* p, dimension_type) {
+ ::operator delete(p);
+}
+
+template <typename T>
+inline memory_size_type
+DB_Row_Impl_Handler<T>::Impl
+::total_memory_in_bytes(dimension_type capacity) const {
+ return
+ sizeof(*this)
+ + capacity*sizeof(T)
+#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ - 1*sizeof(T)
+#endif
+ + external_memory_in_bytes();
+}
+
+template <typename T>
+inline memory_size_type
+DB_Row_Impl_Handler<T>::Impl::total_memory_in_bytes() const {
+ // In general, this is a lower bound, as the capacity of *this
+ // may be strictly greater than `size_'
+ return total_memory_in_bytes(size_);
+}
+
+template <typename T>
+inline dimension_type
+DB_Row_Impl_Handler<T>::Impl::max_size() {
+ return std::numeric_limits<size_t>::max() / sizeof(T);
+}
+
+template <typename T>
+inline dimension_type
+DB_Row_Impl_Handler<T>::Impl::size() const {
+ return size_;
+}
+
+template <typename T>
+inline void
+DB_Row_Impl_Handler<T>::Impl::set_size(const dimension_type new_sz) {
+ size_ = new_sz;
+}
+
+template <typename T>
+inline void
+DB_Row_Impl_Handler<T>::Impl::bump_size() {
+ ++size_;
+}
+
+template <typename T>
+inline
+DB_Row_Impl_Handler<T>::Impl::Impl()
+ : size_(0) {
+}
+
+template <typename T>
+inline
+DB_Row_Impl_Handler<T>::Impl::~Impl() {
+ shrink(0);
+}
+
+template <typename T>
+inline
+DB_Row_Impl_Handler<T>::DB_Row_Impl_Handler()
+ : impl(0) {
+#if PPL_DB_ROW_EXTRA_DEBUG
+ capacity_ = 0;
+#endif
+}
+
+template <typename T>
+inline
+DB_Row_Impl_Handler<T>::~DB_Row_Impl_Handler() {
+ delete impl;
+}
+
+template <typename T>
+inline T&
+DB_Row_Impl_Handler<T>::Impl::operator[](const dimension_type k) {
+ PPL_ASSERT(k < size());
+ return vec_[k];
+}
+
+template <typename T>
+inline const T&
+DB_Row_Impl_Handler<T>::Impl::operator[](const dimension_type k) const {
+ PPL_ASSERT(k < size());
+ return vec_[k];
+}
+
+template <typename T>
+inline dimension_type
+DB_Row<T>::max_size() {
+ return DB_Row_Impl_Handler<T>::Impl::max_size();
+}
+
+template <typename T>
+inline dimension_type
+DB_Row<T>::size() const {
+ return this->impl->size();
+}
+
+#if PPL_DB_ROW_EXTRA_DEBUG
+template <typename T>
+inline dimension_type
+DB_Row<T>::capacity() const {
+ return this->capacity_;
+}
+#endif // PPL_DB_ROW_EXTRA_DEBUG
+
+template <typename T>
+inline
+DB_Row<T>::DB_Row()
+ : DB_Row_Impl_Handler<T>() {
+}
+
+template <typename T>
+inline void
+DB_Row<T>::allocate(
+#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ const
+#endif
+ dimension_type capacity) {
+ DB_Row<T>& x = *this;
+ PPL_ASSERT(capacity <= max_size());
+#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ if (capacity == 0)
+ ++capacity;
+#endif
+ PPL_ASSERT(x.impl == 0);
+ x.impl = new (capacity) typename DB_Row_Impl_Handler<T>::Impl();
+#if PPL_DB_ROW_EXTRA_DEBUG
+ PPL_ASSERT(x.capacity_ == 0);
+ x.capacity_ = capacity;
+#endif
+}
+
+template <typename T>
+inline void
+DB_Row<T>::expand_within_capacity(const dimension_type new_size) {
+ DB_Row<T>& x = *this;
+ PPL_ASSERT(x.impl);
+#if PPL_DB_ROW_EXTRA_DEBUG
+ PPL_ASSERT(new_size <= x.capacity_);
+#endif
+ x.impl->expand_within_capacity(new_size);
+}
+
+template <typename T>
+inline void
+DB_Row<T>::copy_construct_coefficients(const DB_Row& y) {
+ DB_Row<T>& x = *this;
+ PPL_ASSERT(x.impl && y.impl);
+#if PPL_DB_ROW_EXTRA_DEBUG
+ PPL_ASSERT(y.size() <= x.capacity_);
+#endif
+ x.impl->copy_construct_coefficients(*(y.impl));
+}
+
+template <typename T>
+template <typename U>
+inline void
+DB_Row<T>::construct_upward_approximation(const DB_Row<U>& y,
+ const dimension_type capacity) {
+ DB_Row<T>& x = *this;
+ PPL_ASSERT(y.size() <= capacity && capacity <= max_size());
+ allocate(capacity);
+ PPL_ASSERT(y.impl);
+ x.impl->construct_upward_approximation(*(y.impl));
+}
+
+template <typename T>
+inline void
+DB_Row<T>::construct(const dimension_type sz,
+ const dimension_type capacity) {
+ PPL_ASSERT(sz <= capacity && capacity <= max_size());
+ allocate(capacity);
+ expand_within_capacity(sz);
+}
+
+template <typename T>
+inline void
+DB_Row<T>::construct(const dimension_type sz) {
+ construct(sz, sz);
+}
+
+template <typename T>
+inline
+DB_Row<T>::DB_Row(const dimension_type sz,
+ const dimension_type capacity)
+ : DB_Row_Impl_Handler<T>() {
+ construct(sz, capacity);
+}
+
+template <typename T>
+inline
+DB_Row<T>::DB_Row(const dimension_type sz) {
+ construct(sz);
+}
+
+template <typename T>
+inline
+DB_Row<T>::DB_Row(const DB_Row& y)
+ : DB_Row_Impl_Handler<T>() {
+ if (y.impl != 0) {
+ allocate(compute_capacity(y.size(), max_size()));
+ copy_construct_coefficients(y);
+ }
+}
+
+template <typename T>
+inline
+DB_Row<T>::DB_Row(const DB_Row& y,
+ const dimension_type capacity)
+ : DB_Row_Impl_Handler<T>() {
+ PPL_ASSERT(y.impl);
+ PPL_ASSERT(y.size() <= capacity && capacity <= max_size());
+ allocate(capacity);
+ copy_construct_coefficients(y);
+}
+
+template <typename T>
+inline
+DB_Row<T>::DB_Row(const DB_Row& y,
+ const dimension_type sz,
+ const dimension_type capacity)
+ : DB_Row_Impl_Handler<T>() {
+ PPL_ASSERT(y.impl);
+ PPL_ASSERT(y.size() <= sz && sz <= capacity && capacity <= max_size());
+ allocate(capacity);
+ copy_construct_coefficients(y);
+ expand_within_capacity(sz);
+}
+
+template <typename T>
+inline
+DB_Row<T>::~DB_Row() {
+}
+
+template <typename T>
+inline void
+DB_Row<T>::shrink(const dimension_type new_size) {
+ DB_Row<T>& x = *this;
+ PPL_ASSERT(x.impl);
+ x.impl->shrink(new_size);
+}
+
+template <typename T>
+inline void
+DB_Row<T>::m_swap(DB_Row& y) {
+ using std::swap;
+ DB_Row<T>& x = *this;
+ swap(x.impl, y.impl);
+#if PPL_DB_ROW_EXTRA_DEBUG
+ swap(x.capacity_, y.capacity_);
+#endif
+}
+
+template <typename T>
+inline void
+DB_Row<T>::assign(DB_Row& y) {
+ DB_Row<T>& x = *this;
+ x.impl = y.impl;
+#if PPL_DB_ROW_EXTRA_DEBUG
+ x.capacity_ = y.capacity_;
+#endif
+}
+
+template <typename T>
+inline DB_Row<T>&
+DB_Row<T>::operator=(const DB_Row& y) {
+ DB_Row tmp(y);
+ m_swap(tmp);
+ return *this;
+}
+
+template <typename T>
+inline T&
+DB_Row<T>::operator[](const dimension_type k) {
+ DB_Row<T>& x = *this;
+ return (*x.impl)[k];
+}
+
+template <typename T>
+inline const T&
+DB_Row<T>::operator[](const dimension_type k) const {
+ const DB_Row<T>& x = *this;
+ return (*x.impl)[k];
+}
+
+template <typename T>
+inline typename DB_Row<T>::iterator
+DB_Row<T>::begin() {
+ DB_Row<T>& x = *this;
+ return iterator(x.impl->vec_);
+}
+
+template <typename T>
+inline typename DB_Row<T>::iterator
+DB_Row<T>::end() {
+ DB_Row<T>& x = *this;
+ return iterator(x.impl->vec_ + x.impl->size_);
+}
+
+template <typename T>
+inline typename DB_Row<T>::const_iterator
+DB_Row<T>::begin() const {
+ const DB_Row<T>& x = *this;
+ return const_iterator(x.impl->vec_);
+}
+
+template <typename T>
+inline typename DB_Row<T>::const_iterator
+DB_Row<T>::end() const {
+ const DB_Row<T>& x = *this;
+ return const_iterator(x.impl->vec_ + x.impl->size_);
+}
+
+template <typename T>
+inline memory_size_type
+DB_Row<T>::external_memory_in_bytes(dimension_type capacity) const {
+ const DB_Row<T>& x = *this;
+ return x.impl->total_memory_in_bytes(capacity);
+}
+
+template <typename T>
+inline memory_size_type
+DB_Row<T>::total_memory_in_bytes(dimension_type capacity) const {
+ return sizeof(*this) + external_memory_in_bytes(capacity);
+}
+
+template <typename T>
+inline memory_size_type
+DB_Row<T>::external_memory_in_bytes() const {
+ const DB_Row<T>& x = *this;
+#if PPL_DB_ROW_EXTRA_DEBUG
+ return x.impl->total_memory_in_bytes(x.capacity_);
+#else
+ return x.impl->total_memory_in_bytes();
+#endif
+}
+
+template <typename T>
+inline memory_size_type
+DB_Row<T>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+/*! \relates DB_Row */
+template <typename T>
+inline bool
+operator!=(const DB_Row<T>& x, const DB_Row<T>& y) {
+ return !(x == y);
+}
+
+/*! \relates DB_Row */
+template <typename T>
+inline void
+swap(DB_Row<T>& x, DB_Row<T>& y) {
+ x.m_swap(y);
+}
+
+/*! \relates DB_Row */
+template <typename T>
+inline void
+iter_swap(typename std::vector<DB_Row<T> >::iterator x,
+ typename std::vector<DB_Row<T> >::iterator y) {
+ swap(*x, *y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_DB_Row_inlines_hh)
diff --git a/src/DB_Row_templates.hh b/src/DB_Row_templates.hh
new file mode 100644
index 0000000..12dbac4
--- /dev/null
+++ b/src/DB_Row_templates.hh
@@ -0,0 +1,215 @@
+/* DB_Row class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_DB_Row_templates_hh
+#define PPL_DB_Row_templates_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+template <typename U>
+void
+DB_Row_Impl_Handler<T>::Impl::construct_upward_approximation(const U& y) {
+ const dimension_type y_size = y.size();
+#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = 0; i < y_size; ++i) {
+ construct(vec_[i], y[i], ROUND_UP);
+ bump_size();
+ }
+#else // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ if (y_size > 0) {
+ assign_r(vec_[0], y[0], ROUND_UP);
+ bump_size();
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = 1; i < y_size; ++i) {
+ construct(vec_[i], y[i], ROUND_UP);
+ bump_size();
+ }
+ }
+#endif // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+}
+
+template <typename T>
+void
+DB_Row_Impl_Handler<T>::
+Impl::expand_within_capacity(const dimension_type new_size) {
+ PPL_ASSERT(size() <= new_size && new_size <= max_size());
+#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ if (size() == 0 && new_size > 0) {
+ // vec_[0] is already constructed: we just need to assign +infinity.
+ assign_r(vec_[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ bump_size();
+ }
+#endif
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = size(); i < new_size; ++i) {
+ new (&vec_[i]) T(PLUS_INFINITY, ROUND_NOT_NEEDED);
+ bump_size();
+ }
+}
+
+template <typename T>
+void
+DB_Row_Impl_Handler<T>::Impl::shrink(dimension_type new_size) {
+ const dimension_type old_size = size();
+ PPL_ASSERT(new_size <= old_size);
+ // Since ~T() does not throw exceptions, nothing here does.
+ set_size(new_size);
+#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ // Make sure we do not try to destroy vec_[0].
+ if (new_size == 0)
+ ++new_size;
+#endif
+ // We assume construction was done "forward".
+ // We thus perform destruction "backward".
+ for (dimension_type i = old_size; i-- > new_size; )
+ vec_[i].~T();
+}
+
+template <typename T>
+void
+DB_Row_Impl_Handler<T>::Impl::copy_construct_coefficients(const Impl& y) {
+ const dimension_type y_size = y.size();
+#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = 0; i < y_size; ++i) {
+ new (&vec_[i]) T(y.vec_[i]);
+ bump_size();
+ }
+#else // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ if (y_size > 0) {
+ vec_[0] = y.vec_[0];
+ bump_size();
+ // Construct in direct order: will destroy in reverse order.
+ for (dimension_type i = 1; i < y_size; ++i) {
+ new (&vec_[i]) T(y.vec_[i]);
+ bump_size();
+ }
+ }
+#endif // PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+}
+
+template <typename T>
+memory_size_type
+DB_Row_Impl_Handler<T>::Impl::external_memory_in_bytes() const {
+ memory_size_type n = 0;
+ for (dimension_type i = size(); i-- > 0; )
+ n += Parma_Polyhedra_Library::external_memory_in_bytes(vec_[i]);
+ return n;
+}
+
+template <typename T>
+bool
+DB_Row<T>::OK(const dimension_type row_size,
+ const dimension_type
+#if PPL_DB_ROW_EXTRA_DEBUG
+ row_capacity
+#endif
+ ) const {
+#ifndef NDEBUG
+ using std::endl;
+ using std::cerr;
+#endif
+
+ const DB_Row<T>& x = *this;
+ bool is_broken = false;
+
+#if PPL_DB_ROW_EXTRA_DEBUG
+# if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ if (x.capacity_ == 0) {
+ cerr << "Illegal row capacity: is 0, should be at least 1"
+ << endl;
+ is_broken = true;
+ }
+ else if (x.capacity_ == 1 && row_capacity == 0)
+ // This is fine.
+ ;
+ else
+# endif // !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
+ if (x.capacity_ != row_capacity) {
+ cerr << "DB_Row capacity mismatch: is " << x.capacity_
+ << ", should be " << row_capacity << "."
+ << endl;
+ is_broken = true;
+ }
+#endif // PPL_DB_ROW_EXTRA_DEBUG
+
+ if (x.size() != row_size) {
+#ifndef NDEBUG
+ cerr << "DB_Row size mismatch: is " << x.size()
+ << ", should be " << row_size << "."
+ << endl;
+#endif
+ is_broken = true;
+ }
+
+#if PPL_DB_ROW_EXTRA_DEBUG
+ if (x.capacity_ < x.size()) {
+#ifndef NDEBUG
+ cerr << "DB_Row is completely broken: capacity is " << x.capacity_
+ << ", size is " << x.size() << "."
+ << endl;
+#endif
+ is_broken = true;
+ }
+#endif // PPL_DB_ROW_EXTRA_DEBUG
+
+ for (dimension_type i = x.size(); i-- > 0; ) {
+ const T& element = x[i];
+ // Not OK is bad.
+ if (!element.OK()) {
+ is_broken = true;
+ break;
+ }
+ // In addition, nans should never occur.
+ if (is_not_a_number(element)) {
+#ifndef NDEBUG
+ cerr << "Not-a-number found in DB_Row."
+ << endl;
+#endif
+ is_broken = true;
+ break;
+ }
+ }
+
+ return !is_broken;
+}
+
+/*! \relates DB_Row */
+template <typename T>
+bool
+operator==(const DB_Row<T>& x, const DB_Row<T>& y) {
+ if (x.size() != y.size())
+ return false;
+ for (dimension_type i = x.size(); i-- > 0; )
+ if (x[i] != y[i])
+ return false;
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_DB_Row_templates_hh)
diff --git a/src/DB_Row_types.hh b/src/DB_Row_types.hh
new file mode 100644
index 0000000..03e6183
--- /dev/null
+++ b/src/DB_Row_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_DB_Row_types_hh
+#define PPL_DB_Row_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class DB_Row_Impl_Handler;
+
+template <typename T>
+class DB_Row;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_DB_Row_types_hh)
diff --git a/src/Dense_Row.cc b/src/Dense_Row.cc
index 3884c1e..20503c1 100644
--- a/src/Dense_Row.cc
+++ b/src/Dense_Row.cc
@@ -1,6 +1,6 @@
/* Dense_Row class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,10 +22,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Dense_Row.defs.hh"
-#include "Coefficient.defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Coefficient_defs.hh"
#include "assert.hh"
-#include "Sparse_Row.defs.hh"
+#include "Sparse_Row_defs.hh"
#include <iostream>
#include <iomanip>
@@ -33,7 +33,8 @@ namespace PPL = Parma_Polyhedra_Library;
PPL::Dense_Row::Dense_Row(const Sparse_Row& y, dimension_type sz, dimension_type capacity) {
resize(sz, capacity);
- for (Sparse_Row::const_iterator i = y.begin(), i_end = y.lower_bound(sz); i != i_end; ++i)
+ for (Sparse_Row::const_iterator i = y.begin(),
+ i_end = y.lower_bound(sz); i != i_end; ++i)
(*this)[i.index()] = *i;
PPL_ASSERT(OK());
}
@@ -48,7 +49,7 @@ PPL::Dense_Row::resize(dimension_type new_size) {
// TODO: Consider using realloc() here.
// TODO: Consider using a smarter allocation strategy.
const dimension_type new_capacity = new_size;
- Coefficient* new_vec = impl.coeff_allocator.allocate(new_capacity);
+ Coefficient* const new_vec = impl.coeff_allocator.allocate(new_capacity);
if (impl.vec != 0) {
memcpy(new_vec, impl.vec, sizeof(Coefficient) * impl.size);
@@ -92,7 +93,7 @@ PPL::Dense_Row::resize(dimension_type new_size, dimension_type new_capacity) {
PPL_ASSERT(impl.size == new_size);
- Coefficient* new_vec = impl.coeff_allocator.allocate(new_capacity);
+ Coefficient* const new_vec = impl.coeff_allocator.allocate(new_capacity);
PPL_ASSERT(impl.vec != 0);
@@ -102,10 +103,11 @@ PPL::Dense_Row::resize(dimension_type new_size, dimension_type new_capacity) {
impl.vec = new_vec;
impl.capacity = new_capacity;
- } else {
+ }
+ else {
if (new_capacity > capacity()) {
- Coefficient* new_vec = impl.coeff_allocator.allocate(new_capacity);
+ Coefficient* const new_vec = impl.coeff_allocator.allocate(new_capacity);
if (impl.vec != 0) {
memcpy(new_vec, impl.vec, sizeof(Coefficient) * impl.size);
@@ -171,7 +173,8 @@ PPL::Dense_Row::add_zeroes_and_shift(dimension_type n, dimension_type i) {
// The old vec will be de-allocated at the end of this block.
- } else {
+ }
+ else {
memmove(&impl.vec[n + i], &impl.vec[i], sizeof(Coefficient)
* (impl.size - i));
impl.size = i;
@@ -248,7 +251,8 @@ PPL::Dense_Row::init(const Sparse_Row& row) {
if (itr != itr_end && itr.index() == impl.size) {
new (&impl.vec[impl.size]) Coefficient(*itr);
++itr;
- } else
+ }
+ else
new (&impl.vec[impl.size]) Coefficient();
++impl.size;
}
@@ -269,10 +273,12 @@ PPL::Dense_Row::operator=(const Sparse_Row& row) {
if (itr != itr_end && itr.index() == i) {
impl.vec[impl.size] = *itr;
++itr;
- } else
+ }
+ else
impl.vec[impl.size] = Coefficient_zero();
}
- } else {
+ }
+ else {
if (capacity() >= row.size()) {
// size() <= row.size() <= capacity().
Sparse_Row::const_iterator itr = row.begin();
@@ -282,7 +288,8 @@ PPL::Dense_Row::operator=(const Sparse_Row& row) {
if (itr != itr_end && itr.index() == impl.size) {
new (&impl.vec[impl.size]) Coefficient(*itr);
++itr;
- } else
+ }
+ else
new (&impl.vec[impl.size]) Coefficient();
}
// Construct the additional elements.
@@ -291,10 +298,12 @@ PPL::Dense_Row::operator=(const Sparse_Row& row) {
if (itr != itr_end && itr.index() == impl.size) {
new (&impl.vec[impl.size]) Coefficient(*itr);
++itr;
- } else
+ }
+ else
new (&impl.vec[impl.size]) Coefficient();
}
- } else {
+ }
+ else {
// Reallocation is required.
destroy();
init(row);
@@ -526,7 +535,8 @@ PPL::Dense_Row::OK() const {
if (capacity() == 0) {
if (impl.vec != 0)
is_broken = true;
- } else {
+ }
+ else {
if (impl.vec == 0)
is_broken = true;
}
diff --git a/src/Dense_Row.defs.hh b/src/Dense_Row.defs.hh
deleted file mode 100644
index e841d32..0000000
--- a/src/Dense_Row.defs.hh
+++ /dev/null
@@ -1,561 +0,0 @@
-/* Dense_Row class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Dense_Row_defs_hh
-#define PPL_Dense_Row_defs_hh 1
-
-#include "Dense_Row.types.hh"
-
-#include "globals.defs.hh"
-
-#include "Sparse_Row.types.hh"
-#include "Coefficient.defs.hh"
-#include <memory>
-#include <vector>
-#include <limits>
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A finite sequence of coefficients.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Dense_Row {
-public:
- class iterator;
- class const_iterator;
-
- //! Constructs an empty row.
- Dense_Row();
-
- explicit Dense_Row(const Sparse_Row& row);
-
- //! Tight constructor: resizing may require reallocation.
- /*!
- Constructs a row with size and capacity \p sz.
- */
- Dense_Row(dimension_type sz);
-
- //! Sizing constructor with capacity.
- /*!
- \param sz
- The size of the row that will be constructed;
-
- \param capacity
- The capacity of the row that will be constructed;
-
- The row that is constructed has storage for \p capacity elements,
- \p sz of which are default-constructed now.
- */
- Dense_Row(dimension_type sz, dimension_type capacity);
-
- //! Ordinary copy constructor.
- Dense_Row(const Dense_Row& y);
-
- //! Copy constructor with specified capacity.
- /*!
- It is assumed that \p capacity is greater than or equal to
- the size of \p y.
- */
- Dense_Row(const Dense_Row& y, dimension_type capacity);
-
- //! Copy constructor with specified size and capacity.
- /*!
- It is assumed that \p sz is less than or equal to \p capacity.
- */
- Dense_Row(const Dense_Row& y, dimension_type sz, dimension_type capacity);
-
- //! Copy constructor with specified size and capacity from a Sparse_Row.
- /*!
- It is assumed that \p sz is less than or equal to \p capacity.
- */
- Dense_Row(const Sparse_Row& y, dimension_type sz, dimension_type capacity);
-
- //! Destructor.
- ~Dense_Row();
-
- //! Assignment operator.
- Dense_Row& operator=(const Dense_Row& y);
-
- //! Assignment operator.
- Dense_Row& operator=(const Sparse_Row& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Dense_Row& y);
-
- //! Resizes the row to \p sz.
- void resize(dimension_type sz);
-
- //! Resizes the row to \p sz, with capacity \p capacity.
- void resize(dimension_type sz, dimension_type capacity);
-
- //! Resets all the elements of this row.
- void clear();
-
- //! Adds \p n zeroes before index \p i.
- /*!
- \param n
- The number of zeroes that will be added to the row.
-
- \param i
- The index of the element before which the zeroes will be added.
-
- Existing elements with index greater than or equal to \p i are shifted
- to the right by \p n positions. The size is increased by \p n.
-
- Existing iterators are invalidated.
- */
- void add_zeroes_and_shift(dimension_type n, dimension_type i);
-
- //! Expands the row to size \p new_size.
- /*!
- Adds new positions to the implementation of the row
- obtaining a new row with size \p new_size.
- It is assumed that \p new_size is between the current size
- and capacity of the row.
- */
- void expand_within_capacity(dimension_type new_size);
-
- //! Shrinks the row by erasing elements at the end.
- /*!
- Destroys elements of the row implementation
- from position \p new_size to the end.
- It is assumed that \p new_size is not greater than the current size.
- */
- void shrink(dimension_type new_size);
-
- //! Returns the size() of the largest possible Dense_Row.
- static dimension_type max_size();
-
- //! Gives the number of coefficients currently in use.
- dimension_type size() const;
-
- //! \name Subscript operators
- //@{
- //! Returns a reference to the element of the row indexed by \p k.
- Coefficient& operator[](dimension_type k);
-
- //! Returns a constant reference to the element of the row indexed by \p k.
- Coefficient_traits::const_reference operator[](dimension_type k) const;
- //@} // Subscript operators
-
- //! Normalizes the modulo of coefficients so that they are mutually prime.
- /*!
- Computes the Greatest Common Divisor (GCD) among the elements of
- the row and normalizes them by the GCD itself.
- */
- void normalize();
-
- //! Swaps the i-th element with the j-th element.
- //! Provided for compatibility with Sparse_Row
- void swap_coefficients(dimension_type i, dimension_type j);
-
- //! Swaps the element pointed to by i with the element pointed to by j.
- //! Provided for compatibility with Sparse_Row
- void swap_coefficients(iterator i, iterator j);
-
- iterator begin();
- const_iterator begin() const;
-
- iterator end();
- const_iterator end() const;
-
- //! Resets the i-th element to 0.
- //! Provided for compatibility with Sparse_Row
- void reset(dimension_type i);
-
- //! Resets the elements [first,last) to 0.
- //! Provided for compatibility with Sparse_Row
- void reset(dimension_type first, dimension_type last);
-
- //! Resets the element pointed to by itr to 0.
- //! Provided for compatibility with Sparse_Row.
- iterator reset(iterator itr);
-
- //! Gets the i-th element.
- //! Provided for compatibility with Sparse_Row.
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- //! Provided for compatibility with Sparse_Row.
- iterator find(dimension_type i);
-
- //! Provided for compatibility with Sparse_Row.
- const_iterator find(dimension_type i) const;
-
- //! Provided for compatibility with Sparse_Row.
- iterator find(iterator itr, dimension_type i);
-
- //! Provided for compatibility with Sparse_Row.
- const_iterator find(const_iterator itr, dimension_type i) const;
-
- //! Provided for compatibility with Sparse_Row.
- iterator lower_bound(dimension_type i);
-
- //! Provided for compatibility with Sparse_Row.
- const_iterator lower_bound(dimension_type i) const;
-
- //! Provided for compatibility with Sparse_Row.
- iterator lower_bound(iterator itr, dimension_type i);
-
- //! Provided for compatibility with Sparse_Row.
- const_iterator lower_bound(const_iterator itr, dimension_type i) const;
-
- //! Provided for compatibility with Sparse_Row.
- iterator insert(dimension_type i, Coefficient_traits::const_reference x);
-
- //! Provided for compatibility with Sparse_Row.
- iterator insert(dimension_type i);
-
- //! Provided for compatibility with Sparse_Row.
- iterator insert(iterator itr, dimension_type i,
- Coefficient_traits::const_reference x);
-
- //! Provided for compatibility with Sparse_Row.
- iterator insert(iterator itr, dimension_type i);
-
- //! Calls g(x[i],y[i]), for each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param f
- A functor that should take a Coefficient&.
- f(c1) must be equivalent to g(c1, 0).
-
- \param g
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- g(c1, c2) must do nothing when c1 is zero.
-
- This method takes \f$O(n)\f$ time.
-
- \note
- The functors will only be called when necessary, assuming the requested
- properties hold.
-
- \see combine_needs_second
- \see combine
- */
- template <typename Func1, typename Func2>
- void combine_needs_first(const Dense_Row& y,
- const Func1& f, const Func2& g);
-
- //! Calls g(x[i],y[i]), for each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param g
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- g(c1, 0) must do nothing, for every c1.
-
- \param h
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
-
- This method takes \f$O(n)\f$ time.
-
- \note
- The functors will only be called when necessary, assuming the requested
- properties hold.
-
- \see combine_needs_first
- \see combine
- */
- template <typename Func1, typename Func2>
- void combine_needs_second(const Dense_Row& y,
- const Func1& g, const Func2& h);
-
- //! Calls g(x[i],y[i]), for each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param f
- A functor that should take a Coefficient&.
- f(c1) must be equivalent to g(c1, 0).
-
- \param g
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- g(c1, c2) must do nothing when both c1 and c2 are zero.
-
- \param h
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
-
- This method takes \f$O(n)\f$ time.
-
- \note
- The functors will only be called when necessary, assuming the requested
- properties hold.
-
- \see combine_needs_first
- \see combine_needs_second
- */
- template <typename Func1, typename Func2, typename Func3>
- void combine(const Dense_Row& y,
- const Func1& f, const Func2& g, const Func3& h);
-
- //! Executes <CODE>(*this)[i] = (*this)[i]*coeff1 + y[i]*coeff2</CODE>, for
- //! each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param coeff1
- The coefficient used for elements of *this.
- It must not be 0.
-
- \param coeff2
- The coefficient used for elements of y.
- It must not be 0.
-
- This method takes \f$O(n)\f$ time.
-
- \see combine_needs_first
- \see combine_needs_second
- \see combine
- */
- void linear_combine(const Dense_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2);
-
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end).
- /*!
- This method detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
- order to save some work.
-
- coeff1 and coeff2 must not be 0.
- */
- void linear_combine(const Dense_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- /*! \brief
- Returns a lower bound to the size in bytes of the memory
- managed by \p *this.
- */
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns the total size in bytes of the memory occupied by \p *this,
- provided the capacity of \p *this is given by \p capacity.
- */
- memory_size_type total_memory_in_bytes(dimension_type capacity) const;
-
- /*! \brief
- Returns the size in bytes of the memory managed by \p *this,
- provided the capacity of \p *this is given by \p capacity.
- */
- memory_size_type external_memory_in_bytes(dimension_type capacity) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- /*! \brief
- Checks if all the invariants are satisfied and that the actual
- size matches the value provided as argument.
- */
- bool OK(dimension_type row_size) const;
-
-private:
- void init(const Sparse_Row& row);
-
- void destroy();
-
- struct Impl {
-
- Impl();
-
- ~Impl();
-
- //! The number of coefficients in the row.
- dimension_type size;
-
- //! The capacity of the row.
- dimension_type capacity;
-
- //! The allocator used to allocate/deallocate vec.
- std::allocator<Coefficient> coeff_allocator;
-
- //! The vector of coefficients.
- //! An empty vector may be stored as NULL instead of using a valid pointer.
- Coefficient* vec;
- };
-
- Impl impl;
-
- //! Returns the capacity of the row.
- dimension_type capacity() const;
-};
-
-class Parma_Polyhedra_Library::Dense_Row::iterator {
-public:
-
- typedef std::bidirectional_iterator_tag iterator_category;
- typedef Coefficient value_type;
- typedef ptrdiff_t difference_type;
- typedef value_type* pointer;
- typedef value_type& reference;
-
- iterator();
- iterator(Dense_Row& row1, dimension_type i1);
-
- Coefficient& operator*();
- Coefficient_traits::const_reference operator*() const;
-
- //! Returns the index of the element pointed to by \c *this.
- /*!
- If itr is a valid iterator for row, <CODE>row[itr.index()]</CODE> is
- equivalent to *itr.
-
- \returns the index of the element pointed to by \c *this.
- */
- dimension_type index() const;
-
- iterator& operator++();
- iterator operator++(int);
-
- iterator& operator--();
- iterator operator--(int);
-
- bool operator==(const iterator& x) const;
- bool operator!=(const iterator& x) const;
-
- operator const_iterator() const;
-
- bool OK() const;
-
-private:
- Dense_Row* row;
- dimension_type i;
-};
-
-class Parma_Polyhedra_Library::Dense_Row::const_iterator {
-public:
-
- typedef const Coefficient value_type;
- typedef ptrdiff_t difference_type;
- typedef value_type* pointer;
- typedef Coefficient_traits::const_reference reference;
-
- const_iterator();
- const_iterator(const Dense_Row& row1, dimension_type i1);
-
- Coefficient_traits::const_reference operator*() const;
-
- //! Returns the index of the element pointed to by \c *this.
- /*!
- If itr is a valid iterator for row, <CODE>row[itr.index()]</CODE> is
- equivalent to *itr.
-
- \returns the index of the element pointed to by \c *this.
- */
- dimension_type index() const;
-
- const_iterator& operator++();
- const_iterator operator++(int);
-
- const_iterator& operator--();
- const_iterator operator--(int);
-
- bool operator==(const const_iterator& x) const;
- bool operator!=(const const_iterator& x) const;
-
- bool OK() const;
-
-private:
- const Dense_Row* row;
- dimension_type i;
-};
-
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates Dense_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(Dense_Row& x, Dense_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps objects referred by \p x and \p y.
-/*! \relates Dense_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void iter_swap(std::vector<Dense_Row>::iterator x,
- std::vector<Dense_Row>::iterator y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-/*! \relates Dense_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator==(const Dense_Row& x, const Dense_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Dense_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator!=(const Dense_Row& x, const Dense_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Dense_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Dense_Row& x, const Dense_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Dense_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Dense_Row& x, const Dense_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Dense_Row.inlines.hh"
-#include "Dense_Row.templates.hh"
-
-#endif // !defined(PPL_Dense_Row_defs_hh)
diff --git a/src/Dense_Row.inlines.hh b/src/Dense_Row.inlines.hh
deleted file mode 100644
index e562e4c..0000000
--- a/src/Dense_Row.inlines.hh
+++ /dev/null
@@ -1,531 +0,0 @@
-/* Dense_Row class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Dense_Row_inlines_hh
-#define PPL_Dense_Row_inlines_hh 1
-
-#include "assert.hh"
-#include <cstddef>
-#include <limits>
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Dense_Row::Impl::Impl()
- : size(0), capacity(0), coeff_allocator(), vec(0) {
-}
-
-inline
-Dense_Row::Impl::~Impl() {
- while (size != 0) {
- --size;
- vec[size].~Coefficient();
- }
- coeff_allocator.deallocate(vec, capacity);
-}
-
-inline dimension_type
-Dense_Row::max_size() {
- return std::numeric_limits<size_t>::max() / sizeof(Coefficient);
-}
-
-inline dimension_type
-Dense_Row::size() const {
- return impl.size;
-}
-
-inline dimension_type
-Dense_Row::capacity() const {
- return impl.capacity;
-}
-
-inline
-Dense_Row::Dense_Row()
- : impl() {
-
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::Dense_Row(const dimension_type sz,
- const dimension_type capacity)
- : impl() {
-
- resize(sz, capacity);
-
- PPL_ASSERT(size() == sz);
- PPL_ASSERT(impl.capacity == capacity);
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::Dense_Row(const dimension_type sz)
- : impl() {
-
- resize(sz);
-
- PPL_ASSERT(size() == sz);
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::Dense_Row(const Dense_Row& y)
- : impl() {
- impl.coeff_allocator = y.impl.coeff_allocator;
- if (y.impl.vec != 0) {
- impl.capacity = y.capacity();
- impl.vec = impl.coeff_allocator.allocate(impl.capacity);
- while (impl.size != y.size()) {
- new (&impl.vec[impl.size]) Coefficient(y[impl.size]);
- ++impl.size;
- }
- }
- PPL_ASSERT(size() == y.size());
- PPL_ASSERT(capacity() == y.capacity());
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::Dense_Row(const Dense_Row& y,
- const dimension_type capacity)
- : impl() {
- PPL_ASSERT(y.size() <= capacity);
- PPL_ASSERT(capacity <= max_size());
-
- impl.capacity = capacity;
- impl.coeff_allocator = y.impl.coeff_allocator;
- impl.vec = impl.coeff_allocator.allocate(impl.capacity);
-
- if (y.impl.vec != 0) {
- while (impl.size != y.size()) {
- new (&impl.vec[impl.size]) Coefficient(y[impl.size]);
- ++impl.size;
- }
- }
-
- PPL_ASSERT(size() == y.size());
- PPL_ASSERT(impl.capacity == capacity);
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::Dense_Row(const Dense_Row& y,
- const dimension_type sz,
- const dimension_type capacity)
- : impl() {
- PPL_ASSERT(sz <= capacity);
- PPL_ASSERT(capacity <= max_size());
- PPL_ASSERT(capacity != 0);
-
- impl.capacity = capacity;
- impl.coeff_allocator = y.impl.coeff_allocator;
- impl.vec = impl.coeff_allocator.allocate(impl.capacity);
-
- const dimension_type n = std::min(sz, y.size());
- while (impl.size != n) {
- new (&impl.vec[impl.size]) Coefficient(y[impl.size]);
- ++impl.size;
- }
- while (impl.size != sz) {
- new (&impl.vec[impl.size]) Coefficient();
- ++impl.size;
- }
-
- PPL_ASSERT(size() == sz);
- PPL_ASSERT(impl.capacity == capacity);
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::~Dense_Row() {
- // The `impl' field will be destroyed automatically.
-}
-
-inline void
-Dense_Row::destroy() {
- resize(0);
- impl.coeff_allocator.deallocate(impl.vec, impl.capacity);
-}
-
-inline void
-Dense_Row::m_swap(Dense_Row& y) {
- using std::swap;
- swap(impl.size, y.impl.size);
- swap(impl.capacity, y.impl.capacity);
- swap(impl.coeff_allocator, y.impl.coeff_allocator);
- swap(impl.vec, y.impl.vec);
- PPL_ASSERT(OK());
- PPL_ASSERT(y.OK());
-}
-
-inline Dense_Row&
-Dense_Row::operator=(const Dense_Row& y) {
-
- if (this != &y && size() == y.size()) {
- // Avoid reallocation.
-
- for (dimension_type i = size(); i-- > 0; )
- (*this)[i] = y[i];
-
- return *this;
- }
-
- Dense_Row x(y);
- swap(*this, x);
-
- return *this;
-}
-
-inline Coefficient&
-Dense_Row::operator[](const dimension_type k) {
- PPL_ASSERT(impl.vec != 0);
- PPL_ASSERT(k < size());
- return impl.vec[k];
-}
-
-inline Coefficient_traits::const_reference
-Dense_Row::operator[](const dimension_type k) const {
- PPL_ASSERT(impl.vec != 0);
- PPL_ASSERT(k < size());
- return impl.vec[k];
-}
-
-inline void
-Dense_Row::swap_coefficients(dimension_type i, dimension_type j) {
- std::swap((*this)[i], (*this)[j]);
-}
-
-inline void
-Dense_Row::swap_coefficients(iterator i, iterator j) {
- std::swap(*i, *j);
-}
-
-inline void
-Dense_Row::reset(dimension_type i) {
- (*this)[i] = 0;
-}
-
-inline Dense_Row::iterator
-Dense_Row::reset(iterator itr) {
- *itr = 0;
- ++itr;
- return itr;
-}
-
-inline Dense_Row::iterator
-Dense_Row::begin() {
- return iterator(*this, 0);
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::begin() const {
- return const_iterator(*this, 0);
-}
-
-inline Dense_Row::iterator
-Dense_Row::end() {
- return iterator(*this, size());
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::end() const {
- return const_iterator(*this, size());
-}
-
-inline Coefficient_traits::const_reference
-Dense_Row::get(dimension_type i) const {
- return (*this)[i];
-}
-
-inline Dense_Row::iterator
-Dense_Row::find(dimension_type i) {
- return iterator(*this, i);
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::find(dimension_type i) const {
- return const_iterator(*this, i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::find(iterator itr, dimension_type i) {
- (void)itr;
- return iterator(*this, i);
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::find(const_iterator itr, dimension_type i) const {
- (void)itr;
- return const_iterator(*this, i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::lower_bound(dimension_type i) {
- return find(i);
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::lower_bound(dimension_type i) const {
- return find(i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::lower_bound(iterator itr, dimension_type i) {
- return find(itr, i);
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::lower_bound(const_iterator itr, dimension_type i) const {
- return find(itr, i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::insert(dimension_type i,
- Coefficient_traits::const_reference x) {
- (*this)[i] = x;
- return find(i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::insert(dimension_type i) {
- return find(i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::insert(iterator itr, dimension_type i,
- Coefficient_traits::const_reference x) {
- (void)itr;
- (*this)[i] = x;
- return find(i);
-}
-
-inline Dense_Row::iterator
-Dense_Row::insert(iterator itr, dimension_type i) {
- (void)itr;
- return find(i);
-}
-
-inline memory_size_type
-Dense_Row::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline memory_size_type
-Dense_Row::total_memory_in_bytes(dimension_type capacity) const {
- return sizeof(*this) + external_memory_in_bytes(capacity);
-}
-
-/*! \relates Dense_Row */
-inline bool
-operator!=(const Dense_Row& x, const Dense_Row& y) {
- return !(x == y);
-}
-
-
-inline
-Dense_Row::iterator::iterator()
- : row(NULL), i(0) {
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::iterator::iterator(Dense_Row& row1,dimension_type i1)
- : row(&row1), i(i1) {
- PPL_ASSERT(OK());
-}
-
-inline Coefficient&
-Dense_Row::iterator::operator*() {
- PPL_ASSERT(i < row->size());
- return (*row)[i];
-}
-
-inline Coefficient_traits::const_reference
-Dense_Row::iterator::operator*() const {
- PPL_ASSERT(i < row->size());
- return (*row)[i];
-}
-
-inline dimension_type
-Dense_Row::iterator::index() const {
- return i;
-}
-
-inline Dense_Row::iterator&
-Dense_Row::iterator::operator++() {
- PPL_ASSERT(i < row->size());
- ++i;
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline Dense_Row::iterator
-Dense_Row::iterator::operator++(int) {
- iterator tmp(*this);
- ++(*this);
- return tmp;
-}
-
-inline Dense_Row::iterator&
-Dense_Row::iterator::operator--() {
- PPL_ASSERT(i > 0);
- --i;
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline Dense_Row::iterator
-Dense_Row::iterator::operator--(int) {
- iterator tmp(*this);
- --(*this);
- return tmp;
-}
-
-inline bool
-Dense_Row::iterator::operator==(const iterator& x) const {
- return (row == x.row) && (i == x.i);
-}
-
-inline bool
-Dense_Row::iterator::operator!=(const iterator& x) const {
- return !(*this == x);
-}
-
-inline
-Dense_Row::iterator::operator const_iterator() const {
- return const_iterator(*row, i);
-}
-
-inline bool
-Dense_Row::iterator::OK() const {
- if (row == NULL)
- return true;
- // i can be equal to row.size() for past-the-end iterators
- return (i <= row->size());
-}
-
-
-inline
-Dense_Row::const_iterator::const_iterator()
- : row(NULL), i(0) {
- PPL_ASSERT(OK());
-}
-
-inline
-Dense_Row::const_iterator::const_iterator(const Dense_Row& row1,
- dimension_type i1)
- : row(&row1), i(i1) {
- PPL_ASSERT(OK());
-}
-
-inline Coefficient_traits::const_reference
-Dense_Row::const_iterator::operator*() const {
- PPL_ASSERT(i < row->size());
- return (*row)[i];
-}
-
-inline dimension_type
-Dense_Row::const_iterator::index() const {
- return i;
-}
-
-inline Dense_Row::const_iterator&
-Dense_Row::const_iterator::operator++() {
- PPL_ASSERT(i < row->size());
- ++i;
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::const_iterator::operator++(int) {
- const_iterator tmp(*this);
- ++(*this);
- return tmp;
-}
-
-inline Dense_Row::const_iterator&
-Dense_Row::const_iterator::operator--() {
- PPL_ASSERT(i > 0);
- --i;
- PPL_ASSERT(OK());
- return *this;
-}
-
-inline Dense_Row::const_iterator
-Dense_Row::const_iterator::operator--(int) {
- const_iterator tmp(*this);
- --(*this);
- return tmp;
-}
-
-inline bool
-Dense_Row::const_iterator::operator==(const const_iterator& x) const {
- return (row == x.row) && (i == x.i);
-}
-
-inline bool
-Dense_Row::const_iterator::operator!=(const const_iterator& x) const {
- return !(*this == x);
-}
-
-inline bool
-Dense_Row::const_iterator::OK() const {
- if (row == NULL)
- return true;
- // i can be equal to row.size() for past-the-end iterators
- return (i <= row->size());
-}
-
-inline void
-linear_combine(Dense_Row& x, const Dense_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2) {
- x.linear_combine(y, coeff1, coeff2);
-}
-
-inline void
-linear_combine(Dense_Row& x, const Dense_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) {
- x.linear_combine(y, c1, c2, start, end);
-}
-
-/*! \relates Dense_Row */
-inline void
-swap(Dense_Row& x, Dense_Row& y) {
- x.m_swap(y);
-}
-
-/*! \relates Dense_Row */
-inline void
-iter_swap(std::vector<Dense_Row>::iterator x,
- std::vector<Dense_Row>::iterator y) {
- swap(*x, *y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Dense_Row_inlines_hh)
diff --git a/src/Dense_Row.templates.hh b/src/Dense_Row.templates.hh
deleted file mode 100644
index 3517bf1..0000000
--- a/src/Dense_Row.templates.hh
+++ /dev/null
@@ -1,56 +0,0 @@
-/* Dense_Row class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Dense_Row_templates_hh
-#define PPL_Dense_Row_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-
-template <typename Func1, typename Func2>
-void
-Dense_Row::combine_needs_first(const Dense_Row& y, const Func1& /* f */,
- const Func2& g) {
- for (dimension_type i = size(); i-- > 0; )
- g((*this)[i], y[i]);
-}
-
-template <typename Func1, typename Func2>
-void
-Dense_Row::combine_needs_second(const Dense_Row& y, const Func1& g,
- const Func2& /* h */) {
- for (dimension_type i = size(); i-- > 0; )
- g((*this)[i], y[i]);
-}
-
-template <typename Func1, typename Func2, typename Func3>
-void
-Dense_Row::combine(const Dense_Row& y, const Func1& /* f */, const Func2& g,
- const Func3& /* h */) {
- for (dimension_type i = size(); i-- > 0; )
- g((*this)[i], y[i]);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Dense_Row_templates_hh)
diff --git a/src/Dense_Row.types.hh b/src/Dense_Row.types.hh
deleted file mode 100644
index 686efa8..0000000
--- a/src/Dense_Row.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Dense_Row_types_hh
-#define PPL_Dense_Row_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Dense_Row;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Dense_Row_types_hh)
diff --git a/src/Dense_Row_defs.hh b/src/Dense_Row_defs.hh
new file mode 100644
index 0000000..27af61d
--- /dev/null
+++ b/src/Dense_Row_defs.hh
@@ -0,0 +1,561 @@
+/* Dense_Row class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Dense_Row_defs_hh
+#define PPL_Dense_Row_defs_hh 1
+
+#include "Dense_Row_types.hh"
+
+#include "globals_defs.hh"
+
+#include "Sparse_Row_types.hh"
+#include "Coefficient_defs.hh"
+#include <memory>
+#include <vector>
+#include <limits>
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A finite sequence of coefficients.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Dense_Row {
+public:
+ class iterator;
+ class const_iterator;
+
+ //! Constructs an empty row.
+ Dense_Row();
+
+ explicit Dense_Row(const Sparse_Row& row);
+
+ //! Tight constructor: resizing may require reallocation.
+ /*!
+ Constructs a row with size and capacity \p sz.
+ */
+ Dense_Row(dimension_type sz);
+
+ //! Sizing constructor with capacity.
+ /*!
+ \param sz
+ The size of the row that will be constructed;
+
+ \param capacity
+ The capacity of the row that will be constructed;
+
+ The row that is constructed has storage for \p capacity elements,
+ \p sz of which are default-constructed now.
+ */
+ Dense_Row(dimension_type sz, dimension_type capacity);
+
+ //! Ordinary copy constructor.
+ Dense_Row(const Dense_Row& y);
+
+ //! Copy constructor with specified capacity.
+ /*!
+ It is assumed that \p capacity is greater than or equal to
+ the size of \p y.
+ */
+ Dense_Row(const Dense_Row& y, dimension_type capacity);
+
+ //! Copy constructor with specified size and capacity.
+ /*!
+ It is assumed that \p sz is less than or equal to \p capacity.
+ */
+ Dense_Row(const Dense_Row& y, dimension_type sz, dimension_type capacity);
+
+ //! Copy constructor with specified size and capacity from a Sparse_Row.
+ /*!
+ It is assumed that \p sz is less than or equal to \p capacity.
+ */
+ Dense_Row(const Sparse_Row& y, dimension_type sz, dimension_type capacity);
+
+ //! Destructor.
+ ~Dense_Row();
+
+ //! Assignment operator.
+ Dense_Row& operator=(const Dense_Row& y);
+
+ //! Assignment operator.
+ Dense_Row& operator=(const Sparse_Row& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Dense_Row& y);
+
+ //! Resizes the row to \p sz.
+ void resize(dimension_type sz);
+
+ //! Resizes the row to \p sz, with capacity \p capacity.
+ void resize(dimension_type sz, dimension_type capacity);
+
+ //! Resets all the elements of this row.
+ void clear();
+
+ //! Adds \p n zeroes before index \p i.
+ /*!
+ \param n
+ The number of zeroes that will be added to the row.
+
+ \param i
+ The index of the element before which the zeroes will be added.
+
+ Existing elements with index greater than or equal to \p i are shifted
+ to the right by \p n positions. The size is increased by \p n.
+
+ Existing iterators are invalidated.
+ */
+ void add_zeroes_and_shift(dimension_type n, dimension_type i);
+
+ //! Expands the row to size \p new_size.
+ /*!
+ Adds new positions to the implementation of the row
+ obtaining a new row with size \p new_size.
+ It is assumed that \p new_size is between the current size
+ and capacity of the row.
+ */
+ void expand_within_capacity(dimension_type new_size);
+
+ //! Shrinks the row by erasing elements at the end.
+ /*!
+ Destroys elements of the row implementation
+ from position \p new_size to the end.
+ It is assumed that \p new_size is not greater than the current size.
+ */
+ void shrink(dimension_type new_size);
+
+ //! Returns the size() of the largest possible Dense_Row.
+ static dimension_type max_size();
+
+ //! Gives the number of coefficients currently in use.
+ dimension_type size() const;
+
+ //! \name Subscript operators
+ //@{
+ //! Returns a reference to the element of the row indexed by \p k.
+ Coefficient& operator[](dimension_type k);
+
+ //! Returns a constant reference to the element of the row indexed by \p k.
+ Coefficient_traits::const_reference operator[](dimension_type k) const;
+ //@} // Subscript operators
+
+ //! Normalizes the modulo of coefficients so that they are mutually prime.
+ /*!
+ Computes the Greatest Common Divisor (GCD) among the elements of
+ the row and normalizes them by the GCD itself.
+ */
+ void normalize();
+
+ //! Swaps the i-th element with the j-th element.
+ //! Provided for compatibility with Sparse_Row
+ void swap_coefficients(dimension_type i, dimension_type j);
+
+ //! Swaps the element pointed to by i with the element pointed to by j.
+ //! Provided for compatibility with Sparse_Row
+ void swap_coefficients(iterator i, iterator j);
+
+ iterator begin();
+ const_iterator begin() const;
+
+ iterator end();
+ const_iterator end() const;
+
+ //! Resets the i-th element to 0.
+ //! Provided for compatibility with Sparse_Row
+ void reset(dimension_type i);
+
+ //! Resets the elements [first,last) to 0.
+ //! Provided for compatibility with Sparse_Row
+ void reset(dimension_type first, dimension_type last);
+
+ //! Resets the element pointed to by itr to 0.
+ //! Provided for compatibility with Sparse_Row.
+ iterator reset(iterator itr);
+
+ //! Gets the i-th element.
+ //! Provided for compatibility with Sparse_Row.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator find(dimension_type i);
+
+ //! Provided for compatibility with Sparse_Row.
+ const_iterator find(dimension_type i) const;
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator find(iterator itr, dimension_type i);
+
+ //! Provided for compatibility with Sparse_Row.
+ const_iterator find(const_iterator itr, dimension_type i) const;
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator lower_bound(dimension_type i);
+
+ //! Provided for compatibility with Sparse_Row.
+ const_iterator lower_bound(dimension_type i) const;
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator lower_bound(iterator itr, dimension_type i);
+
+ //! Provided for compatibility with Sparse_Row.
+ const_iterator lower_bound(const_iterator itr, dimension_type i) const;
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator insert(dimension_type i, Coefficient_traits::const_reference x);
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator insert(dimension_type i);
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator insert(iterator itr, dimension_type i,
+ Coefficient_traits::const_reference x);
+
+ //! Provided for compatibility with Sparse_Row.
+ iterator insert(iterator itr, dimension_type i);
+
+ //! Calls g(x[i],y[i]), for each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param f
+ A functor that should take a Coefficient&.
+ f(c1) must be equivalent to g(c1, 0).
+
+ \param g
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ g(c1, c2) must do nothing when c1 is zero.
+
+ This method takes \f$O(n)\f$ time.
+
+ \note
+ The functors will only be called when necessary, assuming the requested
+ properties hold.
+
+ \see combine_needs_second
+ \see combine
+ */
+ template <typename Func1, typename Func2>
+ void combine_needs_first(const Dense_Row& y,
+ const Func1& f, const Func2& g);
+
+ //! Calls g(x[i],y[i]), for each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param g
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ g(c1, 0) must do nothing, for every c1.
+
+ \param h
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
+
+ This method takes \f$O(n)\f$ time.
+
+ \note
+ The functors will only be called when necessary, assuming the requested
+ properties hold.
+
+ \see combine_needs_first
+ \see combine
+ */
+ template <typename Func1, typename Func2>
+ void combine_needs_second(const Dense_Row& y,
+ const Func1& g, const Func2& h);
+
+ //! Calls g(x[i],y[i]), for each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param f
+ A functor that should take a Coefficient&.
+ f(c1) must be equivalent to g(c1, 0).
+
+ \param g
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ g(c1, c2) must do nothing when both c1 and c2 are zero.
+
+ \param h
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
+
+ This method takes \f$O(n)\f$ time.
+
+ \note
+ The functors will only be called when necessary, assuming the requested
+ properties hold.
+
+ \see combine_needs_first
+ \see combine_needs_second
+ */
+ template <typename Func1, typename Func2, typename Func3>
+ void combine(const Dense_Row& y,
+ const Func1& f, const Func2& g, const Func3& h);
+
+ //! Executes <CODE>(*this)[i] = (*this)[i]*coeff1 + y[i]*coeff2</CODE>, for
+ //! each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param coeff1
+ The coefficient used for elements of *this.
+ It must not be 0.
+
+ \param coeff2
+ The coefficient used for elements of y.
+ It must not be 0.
+
+ This method takes \f$O(n)\f$ time.
+
+ \see combine_needs_first
+ \see combine_needs_second
+ \see combine
+ */
+ void linear_combine(const Dense_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2);
+
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end).
+ /*!
+ This method detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
+ order to save some work.
+
+ coeff1 and coeff2 must not be 0.
+ */
+ void linear_combine(const Dense_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a lower bound to the size in bytes of the memory
+ managed by \p *this.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns the total size in bytes of the memory occupied by \p *this,
+ provided the capacity of \p *this is given by \p capacity.
+ */
+ memory_size_type total_memory_in_bytes(dimension_type capacity) const;
+
+ /*! \brief
+ Returns the size in bytes of the memory managed by \p *this,
+ provided the capacity of \p *this is given by \p capacity.
+ */
+ memory_size_type external_memory_in_bytes(dimension_type capacity) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ /*! \brief
+ Checks if all the invariants are satisfied and that the actual
+ size matches the value provided as argument.
+ */
+ bool OK(dimension_type row_size) const;
+
+private:
+ void init(const Sparse_Row& row);
+
+ void destroy();
+
+ struct Impl {
+
+ Impl();
+
+ ~Impl();
+
+ //! The number of coefficients in the row.
+ dimension_type size;
+
+ //! The capacity of the row.
+ dimension_type capacity;
+
+ //! The allocator used to allocate/deallocate vec.
+ std::allocator<Coefficient> coeff_allocator;
+
+ //! The vector of coefficients.
+ //! An empty vector may be stored as NULL instead of using a valid pointer.
+ Coefficient* vec;
+ };
+
+ Impl impl;
+
+ //! Returns the capacity of the row.
+ dimension_type capacity() const;
+};
+
+class Parma_Polyhedra_Library::Dense_Row::iterator {
+public:
+
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef Coefficient value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type* pointer;
+ typedef value_type& reference;
+
+ iterator();
+ iterator(Dense_Row& row1, dimension_type i1);
+
+ Coefficient& operator*();
+ Coefficient_traits::const_reference operator*() const;
+
+ //! Returns the index of the element pointed to by \c *this.
+ /*!
+ If itr is a valid iterator for row, <CODE>row[itr.index()]</CODE> is
+ equivalent to *itr.
+
+ \returns the index of the element pointed to by \c *this.
+ */
+ dimension_type index() const;
+
+ iterator& operator++();
+ iterator operator++(int);
+
+ iterator& operator--();
+ iterator operator--(int);
+
+ bool operator==(const iterator& x) const;
+ bool operator!=(const iterator& x) const;
+
+ operator const_iterator() const;
+
+ bool OK() const;
+
+private:
+ Dense_Row* row;
+ dimension_type i;
+};
+
+class Parma_Polyhedra_Library::Dense_Row::const_iterator {
+public:
+
+ typedef const Coefficient value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type* pointer;
+ typedef Coefficient_traits::const_reference reference;
+
+ const_iterator();
+ const_iterator(const Dense_Row& row1, dimension_type i1);
+
+ Coefficient_traits::const_reference operator*() const;
+
+ //! Returns the index of the element pointed to by \c *this.
+ /*!
+ If itr is a valid iterator for row, <CODE>row[itr.index()]</CODE> is
+ equivalent to *itr.
+
+ \returns the index of the element pointed to by \c *this.
+ */
+ dimension_type index() const;
+
+ const_iterator& operator++();
+ const_iterator operator++(int);
+
+ const_iterator& operator--();
+ const_iterator operator--(int);
+
+ bool operator==(const const_iterator& x) const;
+ bool operator!=(const const_iterator& x) const;
+
+ bool OK() const;
+
+private:
+ const Dense_Row* row;
+ dimension_type i;
+};
+
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates Dense_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(Dense_Row& x, Dense_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps objects referred by \p x and \p y.
+/*! \relates Dense_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void iter_swap(std::vector<Dense_Row>::iterator x,
+ std::vector<Dense_Row>::iterator y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+/*! \relates Dense_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator==(const Dense_Row& x, const Dense_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Dense_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator!=(const Dense_Row& x, const Dense_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Dense_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Dense_Row& x, const Dense_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Dense_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Dense_Row& x, const Dense_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Dense_Row_inlines.hh"
+#include "Dense_Row_templates.hh"
+
+#endif // !defined(PPL_Dense_Row_defs_hh)
diff --git a/src/Dense_Row_inlines.hh b/src/Dense_Row_inlines.hh
new file mode 100644
index 0000000..10c98b8
--- /dev/null
+++ b/src/Dense_Row_inlines.hh
@@ -0,0 +1,531 @@
+/* Dense_Row class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Dense_Row_inlines_hh
+#define PPL_Dense_Row_inlines_hh 1
+
+#include "assert.hh"
+#include <cstddef>
+#include <limits>
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Dense_Row::Impl::Impl()
+ : size(0), capacity(0), coeff_allocator(), vec(0) {
+}
+
+inline
+Dense_Row::Impl::~Impl() {
+ while (size != 0) {
+ --size;
+ vec[size].~Coefficient();
+ }
+ coeff_allocator.deallocate(vec, capacity);
+}
+
+inline dimension_type
+Dense_Row::max_size() {
+ return std::numeric_limits<size_t>::max() / sizeof(Coefficient);
+}
+
+inline dimension_type
+Dense_Row::size() const {
+ return impl.size;
+}
+
+inline dimension_type
+Dense_Row::capacity() const {
+ return impl.capacity;
+}
+
+inline
+Dense_Row::Dense_Row()
+ : impl() {
+
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::Dense_Row(const dimension_type sz,
+ const dimension_type capacity)
+ : impl() {
+
+ resize(sz, capacity);
+
+ PPL_ASSERT(size() == sz);
+ PPL_ASSERT(impl.capacity == capacity);
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::Dense_Row(const dimension_type sz)
+ : impl() {
+
+ resize(sz);
+
+ PPL_ASSERT(size() == sz);
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::Dense_Row(const Dense_Row& y)
+ : impl() {
+ impl.coeff_allocator = y.impl.coeff_allocator;
+ if (y.impl.vec != 0) {
+ impl.capacity = y.capacity();
+ impl.vec = impl.coeff_allocator.allocate(impl.capacity);
+ while (impl.size != y.size()) {
+ new (&impl.vec[impl.size]) Coefficient(y[impl.size]);
+ ++impl.size;
+ }
+ }
+ PPL_ASSERT(size() == y.size());
+ PPL_ASSERT(capacity() == y.capacity());
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::Dense_Row(const Dense_Row& y,
+ const dimension_type capacity)
+ : impl() {
+ PPL_ASSERT(y.size() <= capacity);
+ PPL_ASSERT(capacity <= max_size());
+
+ impl.capacity = capacity;
+ impl.coeff_allocator = y.impl.coeff_allocator;
+ impl.vec = impl.coeff_allocator.allocate(impl.capacity);
+
+ if (y.impl.vec != 0) {
+ while (impl.size != y.size()) {
+ new (&impl.vec[impl.size]) Coefficient(y[impl.size]);
+ ++impl.size;
+ }
+ }
+
+ PPL_ASSERT(size() == y.size());
+ PPL_ASSERT(impl.capacity == capacity);
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::Dense_Row(const Dense_Row& y,
+ const dimension_type sz,
+ const dimension_type capacity)
+ : impl() {
+ PPL_ASSERT(sz <= capacity);
+ PPL_ASSERT(capacity <= max_size());
+ PPL_ASSERT(capacity != 0);
+
+ impl.capacity = capacity;
+ impl.coeff_allocator = y.impl.coeff_allocator;
+ impl.vec = impl.coeff_allocator.allocate(impl.capacity);
+
+ const dimension_type n = std::min(sz, y.size());
+ while (impl.size != n) {
+ new (&impl.vec[impl.size]) Coefficient(y[impl.size]);
+ ++impl.size;
+ }
+ while (impl.size != sz) {
+ new (&impl.vec[impl.size]) Coefficient();
+ ++impl.size;
+ }
+
+ PPL_ASSERT(size() == sz);
+ PPL_ASSERT(impl.capacity == capacity);
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::~Dense_Row() {
+ // The `impl' field will be destroyed automatically.
+}
+
+inline void
+Dense_Row::destroy() {
+ resize(0);
+ impl.coeff_allocator.deallocate(impl.vec, impl.capacity);
+}
+
+inline void
+Dense_Row::m_swap(Dense_Row& y) {
+ using std::swap;
+ swap(impl.size, y.impl.size);
+ swap(impl.capacity, y.impl.capacity);
+ swap(impl.coeff_allocator, y.impl.coeff_allocator);
+ swap(impl.vec, y.impl.vec);
+ PPL_ASSERT(OK());
+ PPL_ASSERT(y.OK());
+}
+
+inline Dense_Row&
+Dense_Row::operator=(const Dense_Row& y) {
+
+ if (this != &y && size() == y.size()) {
+ // Avoid reallocation.
+
+ for (dimension_type i = size(); i-- > 0; )
+ (*this)[i] = y[i];
+
+ return *this;
+ }
+
+ Dense_Row x(y);
+ swap(*this, x);
+
+ return *this;
+}
+
+inline Coefficient&
+Dense_Row::operator[](const dimension_type k) {
+ PPL_ASSERT(impl.vec != 0);
+ PPL_ASSERT(k < size());
+ return impl.vec[k];
+}
+
+inline Coefficient_traits::const_reference
+Dense_Row::operator[](const dimension_type k) const {
+ PPL_ASSERT(impl.vec != 0);
+ PPL_ASSERT(k < size());
+ return impl.vec[k];
+}
+
+inline void
+Dense_Row::swap_coefficients(dimension_type i, dimension_type j) {
+ std::swap((*this)[i], (*this)[j]);
+}
+
+inline void
+Dense_Row::swap_coefficients(iterator i, iterator j) {
+ std::swap(*i, *j);
+}
+
+inline void
+Dense_Row::reset(dimension_type i) {
+ (*this)[i] = 0;
+}
+
+inline Dense_Row::iterator
+Dense_Row::reset(iterator itr) {
+ *itr = 0;
+ ++itr;
+ return itr;
+}
+
+inline Dense_Row::iterator
+Dense_Row::begin() {
+ return iterator(*this, 0);
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::begin() const {
+ return const_iterator(*this, 0);
+}
+
+inline Dense_Row::iterator
+Dense_Row::end() {
+ return iterator(*this, size());
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::end() const {
+ return const_iterator(*this, size());
+}
+
+inline Coefficient_traits::const_reference
+Dense_Row::get(dimension_type i) const {
+ return (*this)[i];
+}
+
+inline Dense_Row::iterator
+Dense_Row::find(dimension_type i) {
+ return iterator(*this, i);
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::find(dimension_type i) const {
+ return const_iterator(*this, i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::find(iterator itr, dimension_type i) {
+ (void)itr;
+ return iterator(*this, i);
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::find(const_iterator itr, dimension_type i) const {
+ (void)itr;
+ return const_iterator(*this, i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::lower_bound(dimension_type i) {
+ return find(i);
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::lower_bound(dimension_type i) const {
+ return find(i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::lower_bound(iterator itr, dimension_type i) {
+ return find(itr, i);
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::lower_bound(const_iterator itr, dimension_type i) const {
+ return find(itr, i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::insert(dimension_type i,
+ Coefficient_traits::const_reference x) {
+ (*this)[i] = x;
+ return find(i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::insert(dimension_type i) {
+ return find(i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::insert(iterator itr, dimension_type i,
+ Coefficient_traits::const_reference x) {
+ (void)itr;
+ (*this)[i] = x;
+ return find(i);
+}
+
+inline Dense_Row::iterator
+Dense_Row::insert(iterator itr, dimension_type i) {
+ (void)itr;
+ return find(i);
+}
+
+inline memory_size_type
+Dense_Row::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline memory_size_type
+Dense_Row::total_memory_in_bytes(dimension_type capacity) const {
+ return sizeof(*this) + external_memory_in_bytes(capacity);
+}
+
+/*! \relates Dense_Row */
+inline bool
+operator!=(const Dense_Row& x, const Dense_Row& y) {
+ return !(x == y);
+}
+
+
+inline
+Dense_Row::iterator::iterator()
+ : row(NULL), i(0) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::iterator::iterator(Dense_Row& row1,dimension_type i1)
+ : row(&row1), i(i1) {
+ PPL_ASSERT(OK());
+}
+
+inline Coefficient&
+Dense_Row::iterator::operator*() {
+ PPL_ASSERT(i < row->size());
+ return (*row)[i];
+}
+
+inline Coefficient_traits::const_reference
+Dense_Row::iterator::operator*() const {
+ PPL_ASSERT(i < row->size());
+ return (*row)[i];
+}
+
+inline dimension_type
+Dense_Row::iterator::index() const {
+ return i;
+}
+
+inline Dense_Row::iterator&
+Dense_Row::iterator::operator++() {
+ PPL_ASSERT(i < row->size());
+ ++i;
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline Dense_Row::iterator
+Dense_Row::iterator::operator++(int) {
+ iterator tmp(*this);
+ ++(*this);
+ return tmp;
+}
+
+inline Dense_Row::iterator&
+Dense_Row::iterator::operator--() {
+ PPL_ASSERT(i > 0);
+ --i;
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline Dense_Row::iterator
+Dense_Row::iterator::operator--(int) {
+ iterator tmp(*this);
+ --(*this);
+ return tmp;
+}
+
+inline bool
+Dense_Row::iterator::operator==(const iterator& x) const {
+ return (row == x.row) && (i == x.i);
+}
+
+inline bool
+Dense_Row::iterator::operator!=(const iterator& x) const {
+ return !(*this == x);
+}
+
+inline
+Dense_Row::iterator::operator const_iterator() const {
+ return const_iterator(*row, i);
+}
+
+inline bool
+Dense_Row::iterator::OK() const {
+ if (row == NULL)
+ return true;
+ // i can be equal to row.size() for past-the-end iterators
+ return (i <= row->size());
+}
+
+
+inline
+Dense_Row::const_iterator::const_iterator()
+ : row(NULL), i(0) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Dense_Row::const_iterator::const_iterator(const Dense_Row& row1,
+ dimension_type i1)
+ : row(&row1), i(i1) {
+ PPL_ASSERT(OK());
+}
+
+inline Coefficient_traits::const_reference
+Dense_Row::const_iterator::operator*() const {
+ PPL_ASSERT(i < row->size());
+ return (*row)[i];
+}
+
+inline dimension_type
+Dense_Row::const_iterator::index() const {
+ return i;
+}
+
+inline Dense_Row::const_iterator&
+Dense_Row::const_iterator::operator++() {
+ PPL_ASSERT(i < row->size());
+ ++i;
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::const_iterator::operator++(int) {
+ const_iterator tmp(*this);
+ ++(*this);
+ return tmp;
+}
+
+inline Dense_Row::const_iterator&
+Dense_Row::const_iterator::operator--() {
+ PPL_ASSERT(i > 0);
+ --i;
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+inline Dense_Row::const_iterator
+Dense_Row::const_iterator::operator--(int) {
+ const_iterator tmp(*this);
+ --(*this);
+ return tmp;
+}
+
+inline bool
+Dense_Row::const_iterator::operator==(const const_iterator& x) const {
+ return (row == x.row) && (i == x.i);
+}
+
+inline bool
+Dense_Row::const_iterator::operator!=(const const_iterator& x) const {
+ return !(*this == x);
+}
+
+inline bool
+Dense_Row::const_iterator::OK() const {
+ if (row == NULL)
+ return true;
+ // i can be equal to row.size() for past-the-end iterators
+ return (i <= row->size());
+}
+
+inline void
+linear_combine(Dense_Row& x, const Dense_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2) {
+ x.linear_combine(y, coeff1, coeff2);
+}
+
+inline void
+linear_combine(Dense_Row& x, const Dense_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) {
+ x.linear_combine(y, c1, c2, start, end);
+}
+
+/*! \relates Dense_Row */
+inline void
+swap(Dense_Row& x, Dense_Row& y) {
+ x.m_swap(y);
+}
+
+/*! \relates Dense_Row */
+inline void
+iter_swap(std::vector<Dense_Row>::iterator x,
+ std::vector<Dense_Row>::iterator y) {
+ swap(*x, *y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Dense_Row_inlines_hh)
diff --git a/src/Dense_Row_templates.hh b/src/Dense_Row_templates.hh
new file mode 100644
index 0000000..6108256
--- /dev/null
+++ b/src/Dense_Row_templates.hh
@@ -0,0 +1,56 @@
+/* Dense_Row class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Dense_Row_templates_hh
+#define PPL_Dense_Row_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+
+template <typename Func1, typename Func2>
+void
+Dense_Row::combine_needs_first(const Dense_Row& y, const Func1& /* f */,
+ const Func2& g) {
+ for (dimension_type i = size(); i-- > 0; )
+ g((*this)[i], y[i]);
+}
+
+template <typename Func1, typename Func2>
+void
+Dense_Row::combine_needs_second(const Dense_Row& y, const Func1& g,
+ const Func2& /* h */) {
+ for (dimension_type i = size(); i-- > 0; )
+ g((*this)[i], y[i]);
+}
+
+template <typename Func1, typename Func2, typename Func3>
+void
+Dense_Row::combine(const Dense_Row& y, const Func1& /* f */, const Func2& g,
+ const Func3& /* h */) {
+ for (dimension_type i = size(); i-- > 0; )
+ g((*this)[i], y[i]);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Dense_Row_templates_hh)
diff --git a/src/Dense_Row_types.hh b/src/Dense_Row_types.hh
new file mode 100644
index 0000000..e4a31d5
--- /dev/null
+++ b/src/Dense_Row_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Dense_Row_types_hh
+#define PPL_Dense_Row_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Dense_Row;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Dense_Row_types_hh)
diff --git a/src/Determinate.defs.hh b/src/Determinate.defs.hh
deleted file mode 100644
index 86291f8..0000000
--- a/src/Determinate.defs.hh
+++ /dev/null
@@ -1,331 +0,0 @@
-/* Determinate class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Determinate_defs_hh
-#define PPL_Determinate_defs_hh
-
-#include "Determinate.types.hh"
-#include "Constraint_System.types.hh"
-#include "Congruence_System.types.hh"
-#include "Variable.defs.hh"
-#include "globals.types.hh"
-#include <iosfwd>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Determinate */
-template <typename PSET>
-void swap(Determinate<PSET>& x, Determinate<PSET>& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x and \p y are the same
- COW-wrapped pointset.
-
- \relates Determinate
-*/
-template <typename PSET>
-bool operator==(const Determinate<PSET>& x, const Determinate<PSET>& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x and \p y are different
- COW-wrapped pointsets.
-
- \relates Determinate
-*/
-template <typename PSET>
-bool operator!=(const Determinate<PSET>& x, const Determinate<PSET>& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Determinate */
-template <typename PSET>
-std::ostream&
-operator<<(std::ostream&, const Determinate<PSET>&);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-/*! \brief
- A wrapper for PPL pointsets, providing them with a
- <EM>determinate constraint system</EM> interface, as defined
- in \ref Bag98 "[Bag98]".
-
- The implementation uses a copy-on-write optimization, making the
- class suitable for constructions, like the <EM>finite powerset</EM></A>
- and <EM>ask-and-tell</EM> of \ref Bag98 "[Bag98]", that are likely
- to perform many copies.
-
- \ingroup PPL_CXX_interface
-*/
-template <typename PSET>
-class Parma_Polyhedra_Library::Determinate {
-public:
- //! \name Constructors and Destructor
- //@{
-
- /*! \brief
- Constructs a COW-wrapped object corresponding to the pointset \p pset.
- */
- Determinate(const PSET& pset);
-
- /*! \brief
- Constructs a COW-wrapped object corresponding to the pointset
- defined by \p cs.
- */
- Determinate(const Constraint_System& cs);
-
- /*! \brief
- Constructs a COW-wrapped object corresponding to the pointset
- defined by \p cgs.
- */
- Determinate(const Congruence_System& cgs);
-
- //! Copy constructor.
- Determinate(const Determinate& y);
-
- //! Destructor.
- ~Determinate();
-
- //@} // Constructors and Destructor
-
- //! \name Member Functions that Do Not Modify the Domain Element
- //@{
-
- //! Returns a const reference to the embedded pointset.
- const PSET& pointset() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this embeds the universe
- element \p PSET.
- */
- bool is_top() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this embeds the empty
- element of \p PSET.
- */
- bool is_bottom() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this entails \p y.
- bool definitely_entails(const Determinate& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y
- are definitely equivalent.
- */
- bool is_definitely_equivalent_to(const Determinate& y) const;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- /*! \brief
- Returns a lower bound to the size in bytes of the memory
- managed by \p *this.
- */
- memory_size_type external_memory_in_bytes() const;
-
- /*!
- Returns <CODE>true</CODE> if and only if this domain
- has a nontrivial weakening operator.
- */
- static bool has_nontrivial_weakening();
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //@} // Member Functions that Do Not Modify the Domain Element
-
-
- //! \name Member Functions that May Modify the Domain Element
- //@{
-
- //! Assigns to \p *this the upper bound of \p *this and \p y.
- void upper_bound_assign(const Determinate& y);
-
- //! Assigns to \p *this the meet of \p *this and \p y.
- void meet_assign(const Determinate& y);
-
- //! Assigns to \p *this the result of weakening \p *this with \p y.
- void weakening_assign(const Determinate& y);
-
- /*! \brief
- Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
- of \p *this and \p y, taken in this order.
- */
- void concatenate_assign(const Determinate& y);
-
- //! Returns a reference to the embedded element.
- PSET& pointset();
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- On return from this method, the representation of \p *this
- is not shared by different Determinate objects.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- void mutate();
-
- //! Assignment operator.
- Determinate& operator=(const Determinate& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Determinate& y);
-
- //@} // Member Functions that May Modify the Domain Element
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! A function adapter for the Determinate class.
- /*! \ingroup PPL_CXX_interface
- It lifts a Binary_Operator_Assign function object, taking arguments
- of type PSET, producing the corresponding function object taking
- arguments of type Determinate<PSET>.
-
- The template parameter Binary_Operator_Assign is supposed to
- implement an <EM>apply and assign</EM> function, i.e., a function
- having signature <CODE>void foo(PSET& x, const PSET& y)</CODE> that
- applies an operator to \c x and \c y and assigns the result to \c x.
- For instance, such a function object is obtained by
- <CODE>std::mem_fun_ref(&C_Polyhedron::intersection_assign)</CODE>.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- template <typename Binary_Operator_Assign>
- class Binary_Operator_Assign_Lifter {
- public:
- //! Explicit unary constructor.
- explicit
- Binary_Operator_Assign_Lifter(Binary_Operator_Assign op_assign);
-
- //! Function-application operator.
- void operator()(Determinate& x, const Determinate& y) const;
-
- private:
- //! The function object to be lifted.
- Binary_Operator_Assign op_assign_;
- };
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Helper function returning a Binary_Operator_Assign_Lifter object,
- also allowing for the deduction of template arguments.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- template <typename Binary_Operator_Assign>
- static Binary_Operator_Assign_Lifter<Binary_Operator_Assign>
- lift_op_assign(Binary_Operator_Assign op_assign);
-
-private:
- //! The possibly shared representation of a Determinate object.
- /*! \ingroup PPL_CXX_interface
- By adopting the <EM>copy-on-write</EM> technique, a single
- representation of the base-level object may be shared by more than
- one object of the class Determinate.
- */
- class Rep {
- private:
- /*! \brief
- Count the number of references:
- - 0: leaked, \p pset is non-const;
- - 1: one reference, \p pset is non-const;
- - > 1: more than one reference, \p pset is const.
- */
- mutable unsigned long references;
-
- //! Private and unimplemented: assignment not allowed.
- Rep& operator=(const Rep& y);
-
- //! Private and unimplemented: copies not allowed.
- Rep(const Rep& y);
-
- //! Private and unimplemented: default construction not allowed.
- Rep();
-
- public:
- //! The possibly shared, embedded pointset.
- PSET pset;
-
- /*! \brief
- Builds a new representation by creating a pointset
- of the specified kind, in the specified vector space.
- */
- Rep(dimension_type num_dimensions, Degenerate_Element kind);
-
- //! Builds a new representation by copying the pointset \p p.
- Rep(const PSET& p);
-
- //! Builds a new representation by copying the constraints in \p cs.
- Rep(const Constraint_System& cs);
-
- //! Builds a new representation by copying the constraints in \p cgs.
- Rep(const Congruence_System& cgs);
-
- //! Destructor.
- ~Rep();
-
- //! Registers a new reference.
- void new_reference() const;
-
- /*! \brief
- Unregisters one reference; returns <CODE>true</CODE> if and only if
- the representation has become unreferenced.
- */
- bool del_reference() const;
-
- //! True if and only if this representation is currently shared.
- bool is_shared() const;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- /*! \brief
- Returns a lower bound to the size in bytes of the memory
- managed by \p *this.
- */
- memory_size_type external_memory_in_bytes() const;
- };
-
- /*! \brief
- A pointer to the possibly shared representation of
- the base-level domain element.
- */
- Rep* prep;
-
- friend bool
- operator==<PSET>(const Determinate<PSET>& x, const Determinate<PSET>& y);
-
- friend bool
- operator!=<PSET>(const Determinate<PSET>& x, const Determinate<PSET>& y);
-};
-
-#include "Determinate.inlines.hh"
-
-#endif // !defined(PPL_Determinate_defs_hh)
diff --git a/src/Determinate.inlines.hh b/src/Determinate.inlines.hh
deleted file mode 100644
index 4915f34..0000000
--- a/src/Determinate.inlines.hh
+++ /dev/null
@@ -1,305 +0,0 @@
-/* Determinate class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Determinate_inlines_hh
-#define PPL_Determinate_inlines_hh 1
-
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-inline
-Determinate<PSET>::Rep::Rep(dimension_type num_dimensions,
- Degenerate_Element kind)
- : references(0), pset(num_dimensions, kind) {
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Rep::Rep(const PSET& p)
- : references(0), pset(p) {
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Rep::Rep(const Constraint_System& cs)
- : references(0), pset(cs) {
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Rep::Rep(const Congruence_System& cgs)
- : references(0), pset(cgs) {
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Rep::~Rep() {
- PPL_ASSERT(references == 0);
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::Rep::new_reference() const {
- ++references;
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::Rep::del_reference() const {
- return --references == 0;
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::Rep::is_shared() const {
- return references > 1;
-}
-
-template <typename PSET>
-inline memory_size_type
-Determinate<PSET>::Rep::external_memory_in_bytes() const {
- return pset.external_memory_in_bytes();
-}
-
-template <typename PSET>
-inline memory_size_type
-Determinate<PSET>::Rep::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Determinate(const PSET& pset)
- : prep(new Rep(pset)) {
- prep->new_reference();
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Determinate(const Constraint_System& cs)
- : prep(new Rep(cs)) {
- prep->new_reference();
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Determinate(const Congruence_System& cgs)
- : prep(new Rep(cgs)) {
- prep->new_reference();
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::Determinate(const Determinate& y)
- : prep(y.prep) {
- prep->new_reference();
-}
-
-template <typename PSET>
-inline
-Determinate<PSET>::~Determinate() {
- if (prep->del_reference())
- delete prep;
-}
-
-template <typename PSET>
-inline Determinate<PSET>&
-Determinate<PSET>::operator=(const Determinate& y) {
- y.prep->new_reference();
- if (prep->del_reference())
- delete prep;
- prep = y.prep;
- return *this;
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::m_swap(Determinate& y) {
- using std::swap;
- swap(prep, y.prep);
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::mutate() {
- if (prep->is_shared()) {
- Rep* new_prep = new Rep(prep->pset);
- (void) prep->del_reference();
- new_prep->new_reference();
- prep = new_prep;
- }
-}
-
-template <typename PSET>
-inline const PSET&
-Determinate<PSET>::pointset() const {
- return prep->pset;
-}
-
-template <typename PSET>
-inline PSET&
-Determinate<PSET>::pointset() {
- mutate();
- return prep->pset;
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::upper_bound_assign(const Determinate& y) {
- pointset().upper_bound_assign(y.pointset());
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::meet_assign(const Determinate& y) {
- pointset().intersection_assign(y.pointset());
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::has_nontrivial_weakening() {
- // FIXME: the following should be turned into a query to PSET. This
- // can be postponed until the time the ask-and-tell construction is
- // revived.
- return false;
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::weakening_assign(const Determinate& y) {
- // FIXME: the following should be turned into a proper
- // implementation. This can be postponed until the time the
- // ask-and-tell construction is revived.
- pointset().difference_assign(y.pointset());
-}
-
-template <typename PSET>
-inline void
-Determinate<PSET>::concatenate_assign(const Determinate& y) {
- pointset().concatenate_assign(y.pointset());
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::definitely_entails(const Determinate& y) const {
- return prep == y.prep || y.prep->pset.contains(prep->pset);
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::is_definitely_equivalent_to(const Determinate& y) const {
- return prep == y.prep || prep->pset == y.prep->pset;
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::is_top() const {
- return prep->pset.is_universe();
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::is_bottom() const {
- return prep->pset.is_empty();
-}
-
-template <typename PSET>
-inline memory_size_type
-Determinate<PSET>::external_memory_in_bytes() const {
- return prep->total_memory_in_bytes();
-}
-
-template <typename PSET>
-inline memory_size_type
-Determinate<PSET>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename PSET>
-inline bool
-Determinate<PSET>::OK() const {
- return prep->pset.OK();
-}
-
-namespace IO_Operators {
-
-/*! \relates Parma_Polyhedra_Library::Determinate */
-template <typename PSET>
-inline std::ostream&
-operator<<(std::ostream& s, const Determinate<PSET>& x) {
- s << x.pointset();
- return s;
-}
-
-} // namespace IO_Operators
-
-/*! \relates Determinate */
-template <typename PSET>
-inline bool
-operator==(const Determinate<PSET>& x, const Determinate<PSET>& y) {
- return x.prep == y.prep || x.prep->pset == y.prep->pset;
-}
-
-/*! \relates Determinate */
-template <typename PSET>
-inline bool
-operator!=(const Determinate<PSET>& x, const Determinate<PSET>& y) {
- return x.prep != y.prep && x.prep->pset != y.prep->pset;
-}
-
-template <typename PSET>
-template <typename Binary_Operator_Assign>
-inline
-Determinate<PSET>::Binary_Operator_Assign_Lifter<Binary_Operator_Assign>::
-Binary_Operator_Assign_Lifter(Binary_Operator_Assign op_assign)
- : op_assign_(op_assign) {
-}
-
-template <typename PSET>
-template <typename Binary_Operator_Assign>
-inline void
-Determinate<PSET>::Binary_Operator_Assign_Lifter<Binary_Operator_Assign>::
-operator()(Determinate& x, const Determinate& y) const {
- op_assign_(x.pointset(), y.pointset());
-}
-
-template <typename PSET>
-template <typename Binary_Operator_Assign>
-inline
-Determinate<PSET>::Binary_Operator_Assign_Lifter<Binary_Operator_Assign>
-Determinate<PSET>::lift_op_assign(Binary_Operator_Assign op_assign) {
- return Binary_Operator_Assign_Lifter<Binary_Operator_Assign>(op_assign);
-}
-
-/*! \relates Determinate */
-template <typename PSET>
-inline void
-swap(Determinate<PSET>& x, Determinate<PSET>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Determinate_inlines_hh)
diff --git a/src/Determinate.types.hh b/src/Determinate.types.hh
deleted file mode 100644
index 9619fdb..0000000
--- a/src/Determinate.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Determinate_types_hh
-#define PPL_Determinate_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-class Determinate;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Determinate_types_hh)
diff --git a/src/Determinate_defs.hh b/src/Determinate_defs.hh
new file mode 100644
index 0000000..1db6792
--- /dev/null
+++ b/src/Determinate_defs.hh
@@ -0,0 +1,331 @@
+/* Determinate class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Determinate_defs_hh
+#define PPL_Determinate_defs_hh
+
+#include "Determinate_types.hh"
+#include "Constraint_System_types.hh"
+#include "Congruence_System_types.hh"
+#include "Variable_defs.hh"
+#include "globals_types.hh"
+#include <iosfwd>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Determinate */
+template <typename PSET>
+void swap(Determinate<PSET>& x, Determinate<PSET>& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x and \p y are the same
+ COW-wrapped pointset.
+
+ \relates Determinate
+*/
+template <typename PSET>
+bool operator==(const Determinate<PSET>& x, const Determinate<PSET>& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x and \p y are different
+ COW-wrapped pointsets.
+
+ \relates Determinate
+*/
+template <typename PSET>
+bool operator!=(const Determinate<PSET>& x, const Determinate<PSET>& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Determinate */
+template <typename PSET>
+std::ostream&
+operator<<(std::ostream&, const Determinate<PSET>&);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+/*! \brief
+ A wrapper for PPL pointsets, providing them with a
+ <EM>determinate constraint system</EM> interface, as defined
+ in \ref Bag98 "[Bag98]".
+
+ The implementation uses a copy-on-write optimization, making the
+ class suitable for constructions, like the <EM>finite powerset</EM>
+ and <EM>ask-and-tell</EM> of \ref Bag98 "[Bag98]", that are likely
+ to perform many copies.
+
+ \ingroup PPL_CXX_interface
+*/
+template <typename PSET>
+class Parma_Polyhedra_Library::Determinate {
+public:
+ //! \name Constructors and Destructor
+ //@{
+
+ /*! \brief
+ Constructs a COW-wrapped object corresponding to the pointset \p pset.
+ */
+ Determinate(const PSET& pset);
+
+ /*! \brief
+ Constructs a COW-wrapped object corresponding to the pointset
+ defined by \p cs.
+ */
+ Determinate(const Constraint_System& cs);
+
+ /*! \brief
+ Constructs a COW-wrapped object corresponding to the pointset
+ defined by \p cgs.
+ */
+ Determinate(const Congruence_System& cgs);
+
+ //! Copy constructor.
+ Determinate(const Determinate& y);
+
+ //! Destructor.
+ ~Determinate();
+
+ //@} // Constructors and Destructor
+
+ //! \name Member Functions that Do Not Modify the Domain Element
+ //@{
+
+ //! Returns a const reference to the embedded pointset.
+ const PSET& pointset() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this embeds the universe
+ element \p PSET.
+ */
+ bool is_top() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this embeds the empty
+ element of \p PSET.
+ */
+ bool is_bottom() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this entails \p y.
+ bool definitely_entails(const Determinate& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y
+ are definitely equivalent.
+ */
+ bool is_definitely_equivalent_to(const Determinate& y) const;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a lower bound to the size in bytes of the memory
+ managed by \p *this.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ /*!
+ Returns <CODE>true</CODE> if and only if this domain
+ has a nontrivial weakening operator.
+ */
+ static bool has_nontrivial_weakening();
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //@} // Member Functions that Do Not Modify the Domain Element
+
+
+ //! \name Member Functions that May Modify the Domain Element
+ //@{
+
+ //! Assigns to \p *this the upper bound of \p *this and \p y.
+ void upper_bound_assign(const Determinate& y);
+
+ //! Assigns to \p *this the meet of \p *this and \p y.
+ void meet_assign(const Determinate& y);
+
+ //! Assigns to \p *this the result of weakening \p *this with \p y.
+ void weakening_assign(const Determinate& y);
+
+ /*! \brief
+ Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
+ of \p *this and \p y, taken in this order.
+ */
+ void concatenate_assign(const Determinate& y);
+
+ //! Returns a reference to the embedded element.
+ PSET& pointset();
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ On return from this method, the representation of \p *this
+ is not shared by different Determinate objects.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ void mutate();
+
+ //! Assignment operator.
+ Determinate& operator=(const Determinate& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Determinate& y);
+
+ //@} // Member Functions that May Modify the Domain Element
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! A function adapter for the Determinate class.
+ /*! \ingroup PPL_CXX_interface
+ It lifts a Binary_Operator_Assign function object, taking arguments
+ of type PSET, producing the corresponding function object taking
+ arguments of type Determinate<PSET>.
+
+ The template parameter Binary_Operator_Assign is supposed to
+ implement an <EM>apply and assign</EM> function, i.e., a function
+ having signature <CODE>void foo(PSET& x, const PSET& y)</CODE> that
+ applies an operator to \c x and \c y and assigns the result to \c x.
+ For instance, such a function object is obtained by
+ <CODE>std::mem_fun_ref(&C_Polyhedron::intersection_assign)</CODE>.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ template <typename Binary_Operator_Assign>
+ class Binary_Operator_Assign_Lifter {
+ public:
+ //! Explicit unary constructor.
+ explicit
+ Binary_Operator_Assign_Lifter(Binary_Operator_Assign op_assign);
+
+ //! Function-application operator.
+ void operator()(Determinate& x, const Determinate& y) const;
+
+ private:
+ //! The function object to be lifted.
+ Binary_Operator_Assign op_assign_;
+ };
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Helper function returning a Binary_Operator_Assign_Lifter object,
+ also allowing for the deduction of template arguments.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ template <typename Binary_Operator_Assign>
+ static Binary_Operator_Assign_Lifter<Binary_Operator_Assign>
+ lift_op_assign(Binary_Operator_Assign op_assign);
+
+private:
+ //! The possibly shared representation of a Determinate object.
+ /*! \ingroup PPL_CXX_interface
+ By adopting the <EM>copy-on-write</EM> technique, a single
+ representation of the base-level object may be shared by more than
+ one object of the class Determinate.
+ */
+ class Rep {
+ private:
+ /*! \brief
+ Count the number of references:
+ - 0: leaked, \p pset is non-const;
+ - 1: one reference, \p pset is non-const;
+ - > 1: more than one reference, \p pset is const.
+ */
+ mutable unsigned long references;
+
+ //! Private and unimplemented: assignment not allowed.
+ Rep& operator=(const Rep& y);
+
+ //! Private and unimplemented: copies not allowed.
+ Rep(const Rep& y);
+
+ //! Private and unimplemented: default construction not allowed.
+ Rep();
+
+ public:
+ //! The possibly shared, embedded pointset.
+ PSET pset;
+
+ /*! \brief
+ Builds a new representation by creating a pointset
+ of the specified kind, in the specified vector space.
+ */
+ Rep(dimension_type num_dimensions, Degenerate_Element kind);
+
+ //! Builds a new representation by copying the pointset \p p.
+ Rep(const PSET& p);
+
+ //! Builds a new representation by copying the constraints in \p cs.
+ Rep(const Constraint_System& cs);
+
+ //! Builds a new representation by copying the constraints in \p cgs.
+ Rep(const Congruence_System& cgs);
+
+ //! Destructor.
+ ~Rep();
+
+ //! Registers a new reference.
+ void new_reference() const;
+
+ /*! \brief
+ Unregisters one reference; returns <CODE>true</CODE> if and only if
+ the representation has become unreferenced.
+ */
+ bool del_reference() const;
+
+ //! True if and only if this representation is currently shared.
+ bool is_shared() const;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a lower bound to the size in bytes of the memory
+ managed by \p *this.
+ */
+ memory_size_type external_memory_in_bytes() const;
+ };
+
+ /*! \brief
+ A pointer to the possibly shared representation of
+ the base-level domain element.
+ */
+ Rep* prep;
+
+ friend bool
+ operator==<PSET>(const Determinate<PSET>& x, const Determinate<PSET>& y);
+
+ friend bool
+ operator!=<PSET>(const Determinate<PSET>& x, const Determinate<PSET>& y);
+};
+
+#include "Determinate_inlines.hh"
+
+#endif // !defined(PPL_Determinate_defs_hh)
diff --git a/src/Determinate_inlines.hh b/src/Determinate_inlines.hh
new file mode 100644
index 0000000..43cdacb
--- /dev/null
+++ b/src/Determinate_inlines.hh
@@ -0,0 +1,305 @@
+/* Determinate class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Determinate_inlines_hh
+#define PPL_Determinate_inlines_hh 1
+
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+inline
+Determinate<PSET>::Rep::Rep(dimension_type num_dimensions,
+ Degenerate_Element kind)
+ : references(0), pset(num_dimensions, kind) {
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Rep::Rep(const PSET& p)
+ : references(0), pset(p) {
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Rep::Rep(const Constraint_System& cs)
+ : references(0), pset(cs) {
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Rep::Rep(const Congruence_System& cgs)
+ : references(0), pset(cgs) {
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Rep::~Rep() {
+ PPL_ASSERT(references == 0);
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::Rep::new_reference() const {
+ ++references;
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::Rep::del_reference() const {
+ return --references == 0;
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::Rep::is_shared() const {
+ return references > 1;
+}
+
+template <typename PSET>
+inline memory_size_type
+Determinate<PSET>::Rep::external_memory_in_bytes() const {
+ return pset.external_memory_in_bytes();
+}
+
+template <typename PSET>
+inline memory_size_type
+Determinate<PSET>::Rep::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Determinate(const PSET& pset)
+ : prep(new Rep(pset)) {
+ prep->new_reference();
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Determinate(const Constraint_System& cs)
+ : prep(new Rep(cs)) {
+ prep->new_reference();
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Determinate(const Congruence_System& cgs)
+ : prep(new Rep(cgs)) {
+ prep->new_reference();
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::Determinate(const Determinate& y)
+ : prep(y.prep) {
+ prep->new_reference();
+}
+
+template <typename PSET>
+inline
+Determinate<PSET>::~Determinate() {
+ if (prep->del_reference())
+ delete prep;
+}
+
+template <typename PSET>
+inline Determinate<PSET>&
+Determinate<PSET>::operator=(const Determinate& y) {
+ y.prep->new_reference();
+ if (prep->del_reference())
+ delete prep;
+ prep = y.prep;
+ return *this;
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::m_swap(Determinate& y) {
+ using std::swap;
+ swap(prep, y.prep);
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::mutate() {
+ if (prep->is_shared()) {
+ Rep* const new_prep = new Rep(prep->pset);
+ (void) prep->del_reference();
+ new_prep->new_reference();
+ prep = new_prep;
+ }
+}
+
+template <typename PSET>
+inline const PSET&
+Determinate<PSET>::pointset() const {
+ return prep->pset;
+}
+
+template <typename PSET>
+inline PSET&
+Determinate<PSET>::pointset() {
+ mutate();
+ return prep->pset;
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::upper_bound_assign(const Determinate& y) {
+ pointset().upper_bound_assign(y.pointset());
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::meet_assign(const Determinate& y) {
+ pointset().intersection_assign(y.pointset());
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::has_nontrivial_weakening() {
+ // FIXME: the following should be turned into a query to PSET. This
+ // can be postponed until the time the ask-and-tell construction is
+ // revived.
+ return false;
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::weakening_assign(const Determinate& y) {
+ // FIXME: the following should be turned into a proper
+ // implementation. This can be postponed until the time the
+ // ask-and-tell construction is revived.
+ pointset().difference_assign(y.pointset());
+}
+
+template <typename PSET>
+inline void
+Determinate<PSET>::concatenate_assign(const Determinate& y) {
+ pointset().concatenate_assign(y.pointset());
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::definitely_entails(const Determinate& y) const {
+ return prep == y.prep || y.prep->pset.contains(prep->pset);
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::is_definitely_equivalent_to(const Determinate& y) const {
+ return prep == y.prep || prep->pset == y.prep->pset;
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::is_top() const {
+ return prep->pset.is_universe();
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::is_bottom() const {
+ return prep->pset.is_empty();
+}
+
+template <typename PSET>
+inline memory_size_type
+Determinate<PSET>::external_memory_in_bytes() const {
+ return prep->total_memory_in_bytes();
+}
+
+template <typename PSET>
+inline memory_size_type
+Determinate<PSET>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename PSET>
+inline bool
+Determinate<PSET>::OK() const {
+ return prep->pset.OK();
+}
+
+namespace IO_Operators {
+
+/*! \relates Parma_Polyhedra_Library::Determinate */
+template <typename PSET>
+inline std::ostream&
+operator<<(std::ostream& s, const Determinate<PSET>& x) {
+ s << x.pointset();
+ return s;
+}
+
+} // namespace IO_Operators
+
+/*! \relates Determinate */
+template <typename PSET>
+inline bool
+operator==(const Determinate<PSET>& x, const Determinate<PSET>& y) {
+ return x.prep == y.prep || x.prep->pset == y.prep->pset;
+}
+
+/*! \relates Determinate */
+template <typename PSET>
+inline bool
+operator!=(const Determinate<PSET>& x, const Determinate<PSET>& y) {
+ return x.prep != y.prep && x.prep->pset != y.prep->pset;
+}
+
+template <typename PSET>
+template <typename Binary_Operator_Assign>
+inline
+Determinate<PSET>::Binary_Operator_Assign_Lifter<Binary_Operator_Assign>::
+Binary_Operator_Assign_Lifter(Binary_Operator_Assign op_assign)
+ : op_assign_(op_assign) {
+}
+
+template <typename PSET>
+template <typename Binary_Operator_Assign>
+inline void
+Determinate<PSET>::Binary_Operator_Assign_Lifter<Binary_Operator_Assign>::
+operator()(Determinate& x, const Determinate& y) const {
+ op_assign_(x.pointset(), y.pointset());
+}
+
+template <typename PSET>
+template <typename Binary_Operator_Assign>
+inline
+Determinate<PSET>::Binary_Operator_Assign_Lifter<Binary_Operator_Assign>
+Determinate<PSET>::lift_op_assign(Binary_Operator_Assign op_assign) {
+ return Binary_Operator_Assign_Lifter<Binary_Operator_Assign>(op_assign);
+}
+
+/*! \relates Determinate */
+template <typename PSET>
+inline void
+swap(Determinate<PSET>& x, Determinate<PSET>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Determinate_inlines_hh)
diff --git a/src/Determinate_types.hh b/src/Determinate_types.hh
new file mode 100644
index 0000000..2c79f6f
--- /dev/null
+++ b/src/Determinate_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Determinate_types_hh
+#define PPL_Determinate_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+class Determinate;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Determinate_types_hh)
diff --git a/src/Difference_Floating_Point_Expression.defs.hh b/src/Difference_Floating_Point_Expression.defs.hh
deleted file mode 100644
index 00cfa24..0000000
--- a/src/Difference_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,221 +0,0 @@
-/* Declarations for the Difference_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Difference_Floating_Point_Expression_defs_hh
-#define PPL_Difference_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Difference_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Difference_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-void
-swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Difference Floating Point Expression.
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of difference floating-point expressions
-
- Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
- \f$i' + \sum_{v \in \cV}i'_{v}v \f$
- be two linear forms, \f$\aslf\f$ and \f$\adlf\f$ two sound abstract
- operators on linear form such that:
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v\right)
- \aslf
- \left(i' + \sum_{v \in \cV}i'_{v}v\right)
- =
- \left(i \asifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v}\right)v,
- \f]
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v\right)
- \adlf
- \left(i' + \sum_{v \in \cV}i'_{v}v\right)
- =
- \left(i \adifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \adifp i'_{v}\right)v.
- \f]
- Given an expression \f$e_{1} \ominus e_{2}\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{e_{1} \ominus e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
- on \f$\cV\f$ as follows:
- \f[
- \linexprenv{e_{1} \ominus e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- =
- \linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \adlf
- \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- \aslf
- \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \right)
- \aslf
- \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- \right)
- \aslf
- mf_{\mathbf{f}}[-1, 1]
- \f]
- where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
- calling method <CODE>Floating_Point_Expression::relative_error</CODE>
- on \f$l\f$ and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
- <CODE>Floating_Point_Expression::absolute_error</CODE>.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Difference_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /*! \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /*! \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with two parameters: builds the difference floating point
- expression corresponding to \p x \f$\ominus\f$ \p y.
- */
- Difference_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
-
- //! Destructor.
- ~Difference_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Note that all variables occuring in the expressions represented
- by \p first_operand and \p second_operand MUST have an associated value in
- \p int_store. If this precondition is not met, calling the method
- causes an undefined behavior.
-
- See the class description for a detailed explanation of how \p result
- is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Difference_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& y);
-
-private:
-
- //! Pointer to the first operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
- //! Pointer to the second operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Difference_Floating_Point_Expression(
- const Difference_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited asssignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
- operator=(const Difference_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
-
-}; // class Difference_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Difference_Floating_Point_Expression.inlines.hh"
-#include "Difference_Floating_Point_Expression.templates.hh"
-
-#endif // !defined(PPL_Difference_Floating_Point_Expression_defs_hh)
diff --git a/src/Difference_Floating_Point_Expression.inlines.hh b/src/Difference_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 63dc958..0000000
--- a/src/Difference_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,70 +0,0 @@
-/* Difference_Floating_Point_Expression class implementation: inline
- functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Difference_Floating_Point_Expression_inlines_hh
-#define PPL_Difference_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::Difference_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y)
- : first_operand(x), second_operand(y){
- assert(x != 0);
- assert(y != 0);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::~Difference_Floating_Point_Expression() {
- delete first_operand;
- delete second_operand;
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- using std::swap;
- swap(first_operand, y.first_operand);
- swap(second_operand, y.second_operand);
-}
-
-/*! \relates Difference_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Difference_Floating_Point_Expression_inlines_hh)
diff --git a/src/Difference_Floating_Point_Expression.templates.hh b/src/Difference_Floating_Point_Expression.templates.hh
deleted file mode 100644
index 03d0ae0..0000000
--- a/src/Difference_Floating_Point_Expression.templates.hh
+++ /dev/null
@@ -1,53 +0,0 @@
-/* Difference_Floating_Point_Expression class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Difference_Floating_Point_Expression_templates_hh
-#define PPL_Difference_Floating_Point_Expression_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-bool Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- if (!first_operand->linearize(int_store, lf_store, result))
- return false;
- FP_Linear_Form rel_error;
- relative_error(result, rel_error);
- result += rel_error;
- FP_Linear_Form linearized_second_operand;
- if (!second_operand->linearize(int_store, lf_store,
- linearized_second_operand))
- return false;
- result -= linearized_second_operand;
- relative_error(linearized_second_operand, rel_error);
- result += rel_error;
- result += this->absolute_error;
- return !this->overflows(result);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Difference_Floating_Point_Expression_templates_hh)
diff --git a/src/Difference_Floating_Point_Expression.types.hh b/src/Difference_Floating_Point_Expression.types.hh
deleted file mode 100644
index 5e228e4..0000000
--- a/src/Difference_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Difference_Floating_Point_Expression_types_hh
-#define PPL_Difference_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Difference_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Difference_Floating_Point_Expression_types_hh)
diff --git a/src/Difference_Floating_Point_Expression_defs.hh b/src/Difference_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..c2e6ef8
--- /dev/null
+++ b/src/Difference_Floating_Point_Expression_defs.hh
@@ -0,0 +1,221 @@
+/* Declarations for the Difference_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Difference_Floating_Point_Expression_defs_hh
+#define PPL_Difference_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Difference_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Difference_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+void
+swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Difference Floating Point Expression.
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of difference floating-point expressions
+
+ Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
+ \f$i' + \sum_{v \in \cV}i'_{v}v \f$
+ be two linear forms, \f$\aslf\f$ and \f$\adlf\f$ two sound abstract
+ operators on linear form such that:
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v\right)
+ \aslf
+ \left(i' + \sum_{v \in \cV}i'_{v}v\right)
+ =
+ \left(i \asifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v}\right)v,
+ \f]
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v\right)
+ \adlf
+ \left(i' + \sum_{v \in \cV}i'_{v}v\right)
+ =
+ \left(i \adifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \adifp i'_{v}\right)v.
+ \f]
+ Given an expression \f$e_{1} \ominus e_{2}\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{e_{1} \ominus e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
+ on \f$\cV\f$ as follows:
+ \f[
+ \linexprenv{e_{1} \ominus e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \adlf
+ \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ \aslf
+ \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)
+ \aslf
+ \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)
+ \aslf
+ mf_{\mathbf{f}}[-1, 1]
+ \f]
+ where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
+ calling method <CODE>Floating_Point_Expression::relative_error</CODE>
+ on \f$l\f$ and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
+ <CODE>Floating_Point_Expression::absolute_error</CODE>.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Difference_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with two parameters: builds the difference floating point
+ expression corresponding to \p x \f$\ominus\f$ \p y.
+ */
+ Difference_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
+
+ //! Destructor.
+ ~Difference_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Note that all variables occuring in the expressions represented
+ by \p first_operand and \p second_operand MUST have an associated value in
+ \p int_store. If this precondition is not met, calling the method
+ causes an undefined behavior.
+
+ See the class description for a detailed explanation of how \p result
+ is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Difference_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& y);
+
+private:
+
+ //! Pointer to the first operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
+ //! Pointer to the second operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Difference_Floating_Point_Expression(
+ const Difference_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited asssignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
+ operator=(const Difference_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+
+}; // class Difference_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Difference_Floating_Point_Expression_inlines.hh"
+#include "Difference_Floating_Point_Expression_templates.hh"
+
+#endif // !defined(PPL_Difference_Floating_Point_Expression_defs_hh)
diff --git a/src/Difference_Floating_Point_Expression_inlines.hh b/src/Difference_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..ac7daf2
--- /dev/null
+++ b/src/Difference_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,70 @@
+/* Difference_Floating_Point_Expression class implementation: inline
+ functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Difference_Floating_Point_Expression_inlines_hh
+#define PPL_Difference_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::Difference_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y)
+ : first_operand(x), second_operand(y){
+ assert(x != 0);
+ assert(y != 0);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::~Difference_Floating_Point_Expression() {
+ delete first_operand;
+ delete second_operand;
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ using std::swap;
+ swap(first_operand, y.first_operand);
+ swap(second_operand, y.second_operand);
+}
+
+/*! \relates Difference_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Difference_Floating_Point_Expression_inlines_hh)
diff --git a/src/Difference_Floating_Point_Expression_templates.hh b/src/Difference_Floating_Point_Expression_templates.hh
new file mode 100644
index 0000000..9923c5a
--- /dev/null
+++ b/src/Difference_Floating_Point_Expression_templates.hh
@@ -0,0 +1,53 @@
+/* Difference_Floating_Point_Expression class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Difference_Floating_Point_Expression_templates_hh
+#define PPL_Difference_Floating_Point_Expression_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+bool Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ if (!first_operand->linearize(int_store, lf_store, result))
+ return false;
+ FP_Linear_Form rel_error;
+ relative_error(result, rel_error);
+ result += rel_error;
+ FP_Linear_Form linearized_second_operand;
+ if (!second_operand->linearize(int_store, lf_store,
+ linearized_second_operand))
+ return false;
+ result -= linearized_second_operand;
+ relative_error(linearized_second_operand, rel_error);
+ result += rel_error;
+ result += this->absolute_error;
+ return !this->overflows(result);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Difference_Floating_Point_Expression_templates_hh)
diff --git a/src/Difference_Floating_Point_Expression_types.hh b/src/Difference_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..2a435e7
--- /dev/null
+++ b/src/Difference_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Difference_Floating_Point_Expression_types_hh
+#define PPL_Difference_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Difference_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Difference_Floating_Point_Expression_types_hh)
diff --git a/src/Division_Floating_Point_Expression.defs.hh b/src/Division_Floating_Point_Expression.defs.hh
deleted file mode 100644
index 623b9e6..0000000
--- a/src/Division_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,238 +0,0 @@
-/* Declarations for the Division_Floating_Point_Expression class and its
- constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Division_Floating_Point_Expression_defs_hh
-#define PPL_Division_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Division_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Division_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-void swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Division Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearizationd of division floating-point expressions
-
- Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
- \f$i' + \sum_{v \in \cV}i'_{v}v \f$
- be two linear forms, \f$\aslf\f$ and \f$\adivlf\f$ two sound abstract
- operator on linear forms such that:
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v\right)
- \aslf
- \left(i' + \sum_{v \in \cV}i'_{v}v\right)
- =
- \left(i \asifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v}\right)v,
- \f]
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v\right)
- \adivlf
- i'
- =
- \left(i \adivifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \adivifp i'\right)v.
- \f]
- Given an expression \f$e_{1} \oslash [a, b]\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$,
- we construct the interval linear form
- \f$
- \linexprenv{e_{1} \oslash [a, b]}{\rho^{\#}}{\rho^{\#}_l}
- \f$
- as follows:
- \f[
- \linexprenv{e_{1} \oslash [a, b]}{\rho^{\#}}{\rho^{\#}_l}
- =
- \left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \adivlf
- [a, b]\right)
- \aslf
- \left(\varepsilon_{\mathbf{f}}\left(
- \linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \right)
- \adivlf
- [a, b]\right)
- \aslf
- mf_{\mathbf{f}}[-1, 1],
- \f]
- given an expression \f$e_{1} \oslash e_{2}\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{e_{1} \oslash e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
- as follows:
- \f[
- \linexprenv{e_{1} \oslash e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- =
- \linexprenv{e_{1} \oslash \iota\left(
- \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- \right)\rho^{\#}}{\rho^{\#}}{\rho^{\#}_l},
- \f]
- where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
- calling method <CODE>Floating_Point_Expression::relative_error</CODE>
- on \f$l\f$, \f$\iota(l)\rho^{\#}\f$ is the linear form computed by calling
- method <CODE>Floating_Point_Expression::intervalize</CODE> on \f$l\f$
- and \f$\rho^{\#}\f$, and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
- <CODE>Floating_Point_Expression::absolute_error</CODE>.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Division_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /*! \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /*! \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with two parameters: builds the division floating point
- expression corresponding to \p num \f$\oslash\f$ \p den.
- */
- Division_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const num,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const den);
-
- //! Destructor.
- ~Division_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Note that all variables occuring in the expressions represented
- by \p first_operand and \p second_operand MUST have an associated value in
- \p int_store. If this precondition is not met, calling the method
- causes an undefined behavior.
-
- See the class description for a detailed explanation of how \p result
- is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Division_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& y);
-
-private:
-
- //! Pointer to the first operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
- //! Pointer to the second operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Copy constructor: temporary inhibited.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Division_Floating_Point_Expression(
- const Division_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Assignment operator: temporary inhibited.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
- operator=(const Division_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
-
-}; // class Division_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Division_Floating_Point_Expression.inlines.hh"
-#include "Division_Floating_Point_Expression.templates.hh"
-
-#endif // !defined(PPL_Division_Floating_Point_Expression_defs_hh)
diff --git a/src/Division_Floating_Point_Expression.inlines.hh b/src/Division_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 7f6de8d..0000000
--- a/src/Division_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,69 +0,0 @@
-/* Division_Floating_Point_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Division_Floating_Point_Expression_inlines_hh
-#define PPL_Division_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::Division_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const num,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const den)
- : first_operand(num), second_operand(den) {
- assert(num != 0);
- assert(den != 0);
- }
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::~Division_Floating_Point_Expression() {
- delete first_operand;
- delete second_operand;
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- using std::swap;
- swap(first_operand, y.first_operand);
- swap(second_operand, y.second_operand);
-}
-
-/*! \relates Division_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Division_Floating_Point_Expression_inlines_hh)
diff --git a/src/Division_Floating_Point_Expression.templates.hh b/src/Division_Floating_Point_Expression.templates.hh
deleted file mode 100644
index 3c3696b..0000000
--- a/src/Division_Floating_Point_Expression.templates.hh
+++ /dev/null
@@ -1,61 +0,0 @@
-/* Division_Floating_Point_Expression class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Division_Floating_Point_Expression_templates_hh
-#define PPL_Division_Floating_Point_Expression_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-bool Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- FP_Linear_Form linearized_second_operand;
- if (!second_operand->linearize(int_store, lf_store,
- linearized_second_operand))
- return false;
- FP_Interval_Type intervalized_second_operand;
- this->intervalize(linearized_second_operand, int_store,
- intervalized_second_operand);
-
- // Check if we may divide by zero.
- if (intervalized_second_operand.lower() <= 0
- && intervalized_second_operand.upper() >= 0)
- return false;
-
- if (!first_operand->linearize(int_store, lf_store, result))
- return false;
- FP_Linear_Form rel_error;
- relative_error(result, rel_error);
- result /= intervalized_second_operand;
- rel_error /= intervalized_second_operand;
- result += rel_error;
- result += this->absolute_error;
- return !this->overflows(result);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Division_Floating_Point_Expression_templates_hh)
diff --git a/src/Division_Floating_Point_Expression.types.hh b/src/Division_Floating_Point_Expression.types.hh
deleted file mode 100644
index 5931d06..0000000
--- a/src/Division_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Division_Floating_Point_Expression_types_hh
-#define PPL_Division_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Division_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Division_Floating_Point_Expression_types_hh)
diff --git a/src/Division_Floating_Point_Expression_defs.hh b/src/Division_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..ed9751b
--- /dev/null
+++ b/src/Division_Floating_Point_Expression_defs.hh
@@ -0,0 +1,237 @@
+/* Declarations for the Division_Floating_Point_Expression class and its
+ constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Division_Floating_Point_Expression_defs_hh
+#define PPL_Division_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Division_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Division_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+void swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Division Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearizationd of division floating-point expressions
+
+ Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
+ \f$i' + \sum_{v \in \cV}i'_{v}v \f$
+ be two linear forms, \f$\aslf\f$ and \f$\adivlf\f$ two sound abstract
+ operator on linear forms such that:
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v\right)
+ \aslf
+ \left(i' + \sum_{v \in \cV}i'_{v}v\right)
+ =
+ \left(i \asifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v}\right)v,
+ \f]
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v\right)
+ \adivlf
+ i'
+ =
+ \left(i \adivifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \adivifp i'\right)v.
+ \f]
+ Given an expression \f$e_{1} \oslash [a, b]\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$,
+ we construct the interval linear form
+ \f$
+ \linexprenv{e_{1} \oslash [a, b]}{\rho^{\#}}{\rho^{\#}_l}
+ \f$
+ as follows:
+ \f[
+ \linexprenv{e_{1} \oslash [a, b]}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \adivlf
+ [a, b]\right)
+ \aslf
+ \left(\varepsilon_{\mathbf{f}}\left(
+ \linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)
+ \adivlf
+ [a, b]\right)
+ \aslf
+ mf_{\mathbf{f}}[-1, 1],
+ \f]
+ given an expression \f$e_{1} \oslash e_{2}\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{e_{1} \oslash e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
+ as follows:
+ \f[
+ \linexprenv{e_{1} \oslash e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \linexprenv{e_{1} \oslash \iota\left(
+ \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)\rho^{\#}}{\rho^{\#}}{\rho^{\#}_l},
+ \f]
+ where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
+ calling method <CODE>Floating_Point_Expression::relative_error</CODE>
+ on \f$l\f$, \f$\iota(l)\rho^{\#}\f$ is the linear form computed by calling
+ method <CODE>Floating_Point_Expression::intervalize</CODE> on \f$l\f$
+ and \f$\rho^{\#}\f$, and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
+ <CODE>Floating_Point_Expression::absolute_error</CODE>.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Division_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with two parameters: builds the division floating point
+ expression corresponding to \p num \f$\oslash\f$ \p den.
+ */
+ Division_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const num,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const den);
+
+ //! Destructor.
+ ~Division_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Note that all variables occuring in the expressions represented
+ by \p first_operand and \p second_operand MUST have an associated value in
+ \p int_store. If this precondition is not met, calling the method
+ causes an undefined behavior.
+
+ See the class description for a detailed explanation of how \p result
+ is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Division_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& y);
+
+private:
+
+ //! Pointer to the first operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
+ //! Pointer to the second operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Copy constructor: temporary inhibited.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Division_Floating_Point_Expression(
+ const Division_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Assignment operator: temporary inhibited.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
+ operator=(const Division_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+}; // class Division_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Division_Floating_Point_Expression_inlines.hh"
+#include "Division_Floating_Point_Expression_templates.hh"
+
+#endif // !defined(PPL_Division_Floating_Point_Expression_defs_hh)
diff --git a/src/Division_Floating_Point_Expression_inlines.hh b/src/Division_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..c6ed4df
--- /dev/null
+++ b/src/Division_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,69 @@
+/* Division_Floating_Point_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Division_Floating_Point_Expression_inlines_hh
+#define PPL_Division_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::Division_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const num,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const den)
+ : first_operand(num), second_operand(den) {
+ assert(num != 0);
+ assert(den != 0);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::~Division_Floating_Point_Expression() {
+ delete first_operand;
+ delete second_operand;
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ using std::swap;
+ swap(first_operand, y.first_operand);
+ swap(second_operand, y.second_operand);
+}
+
+/*! \relates Division_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Division_Floating_Point_Expression_inlines_hh)
diff --git a/src/Division_Floating_Point_Expression_templates.hh b/src/Division_Floating_Point_Expression_templates.hh
new file mode 100644
index 0000000..3feb26a
--- /dev/null
+++ b/src/Division_Floating_Point_Expression_templates.hh
@@ -0,0 +1,61 @@
+/* Division_Floating_Point_Expression class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Division_Floating_Point_Expression_templates_hh
+#define PPL_Division_Floating_Point_Expression_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+bool Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ FP_Linear_Form linearized_second_operand;
+ if (!second_operand->linearize(int_store, lf_store,
+ linearized_second_operand))
+ return false;
+ FP_Interval_Type intervalized_second_operand;
+ this->intervalize(linearized_second_operand, int_store,
+ intervalized_second_operand);
+
+ // Check if we may divide by zero.
+ if (intervalized_second_operand.lower() <= 0
+ && intervalized_second_operand.upper() >= 0)
+ return false;
+
+ if (!first_operand->linearize(int_store, lf_store, result))
+ return false;
+ FP_Linear_Form rel_error;
+ relative_error(result, rel_error);
+ result /= intervalized_second_operand;
+ rel_error /= intervalized_second_operand;
+ result += rel_error;
+ result += this->absolute_error;
+ return !this->overflows(result);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Division_Floating_Point_Expression_templates_hh)
diff --git a/src/Division_Floating_Point_Expression_types.hh b/src/Division_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..bfd2010
--- /dev/null
+++ b/src/Division_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Division_Floating_Point_Expression_types_hh
+#define PPL_Division_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Division_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Division_Floating_Point_Expression_types_hh)
diff --git a/src/Doubly_Linked_Object.defs.hh b/src/Doubly_Linked_Object.defs.hh
deleted file mode 100644
index 96bc01c..0000000
--- a/src/Doubly_Linked_Object.defs.hh
+++ /dev/null
@@ -1,65 +0,0 @@
-/* Doubly_Linked_Object class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Doubly_Linked_Object_defs_hh
-#define PPL_Doubly_Linked_Object_defs_hh 1
-
-#include "Doubly_Linked_Object.types.hh"
-#include "EList.types.hh"
-#include "EList_Iterator.types.hh"
-
-//! A (base) class for doubly linked objects.
-class Parma_Polyhedra_Library::Implementation::Watchdog::Doubly_Linked_Object {
-public:
- //! Default constructor.
- Doubly_Linked_Object();
-
- //! Creates a chain element with forward link \p f and backward link \p b.
- Doubly_Linked_Object(Doubly_Linked_Object* f, Doubly_Linked_Object* b);
-
- //! Inserts \p y before \p *this.
- void insert_before(Doubly_Linked_Object& y);
-
- //! Inserts \p y after \p *this.
- void insert_after(Doubly_Linked_Object& y);
-
- //! Erases \p *this from the chain and returns a pointer to the next element.
- Doubly_Linked_Object* erase();
-
- //! Erases \p *this from the chain.
- ~Doubly_Linked_Object();
-
-private:
- //! Forward link.
- Doubly_Linked_Object* next;
-
- //! Backward link.
- Doubly_Linked_Object* prev;
-
- template <typename T> friend class EList;
- template <typename T> friend class EList_Iterator;
-};
-
-#include "Doubly_Linked_Object.inlines.hh"
-
-#endif // !defined(PPL_Doubly_Linked_Object_defs_hh)
diff --git a/src/Doubly_Linked_Object.inlines.hh b/src/Doubly_Linked_Object.inlines.hh
deleted file mode 100644
index 86d075f..0000000
--- a/src/Doubly_Linked_Object.inlines.hh
+++ /dev/null
@@ -1,78 +0,0 @@
-/* Doubly_Linked_Object class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Doubly_Linked_Object_inlines_hh
-#define PPL_Doubly_Linked_Object_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-inline
-Doubly_Linked_Object::Doubly_Linked_Object() {
-}
-
-inline
-Doubly_Linked_Object::Doubly_Linked_Object(Doubly_Linked_Object* f,
- Doubly_Linked_Object* b)
- : next(f),
- prev(b) {
-}
-
-inline void
-Doubly_Linked_Object::insert_before(Doubly_Linked_Object& y) {
- y.next = this;
- y.prev = prev;
- prev->next = &y;
- prev = &y;
-}
-
-inline void
-Doubly_Linked_Object::insert_after(Doubly_Linked_Object& y) {
- y.next = next;
- y.prev = this;
- next->prev = &y;
- next = &y;
-}
-
-inline Doubly_Linked_Object*
-Doubly_Linked_Object::erase() {
- next->prev = prev;
- prev->next = next;
- return next;
-}
-
-inline
-Doubly_Linked_Object::~Doubly_Linked_Object() {
- erase();
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Doubly_Linked_Object_inlines_hh)
diff --git a/src/Doubly_Linked_Object.types.hh b/src/Doubly_Linked_Object.types.hh
deleted file mode 100644
index 41be14f..0000000
--- a/src/Doubly_Linked_Object.types.hh
+++ /dev/null
@@ -1,30 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Doubly_Linked_Object_types_hh
-#define PPL_Doubly_Linked_Object_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-class Doubly_Linked_Object;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Doubly_Linked_Object_types_hh)
diff --git a/src/Doubly_Linked_Object_defs.hh b/src/Doubly_Linked_Object_defs.hh
new file mode 100644
index 0000000..bb6b4f2
--- /dev/null
+++ b/src/Doubly_Linked_Object_defs.hh
@@ -0,0 +1,65 @@
+/* Doubly_Linked_Object class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Doubly_Linked_Object_defs_hh
+#define PPL_Doubly_Linked_Object_defs_hh 1
+
+#include "Doubly_Linked_Object_types.hh"
+#include "EList_types.hh"
+#include "EList_Iterator_types.hh"
+
+//! A (base) class for doubly linked objects.
+class Parma_Polyhedra_Library::Implementation::Doubly_Linked_Object {
+public:
+ //! Default constructor.
+ Doubly_Linked_Object();
+
+ //! Creates a chain element with forward link \p f and backward link \p b.
+ Doubly_Linked_Object(Doubly_Linked_Object* f, Doubly_Linked_Object* b);
+
+ //! Inserts \p y before \p *this.
+ void insert_before(Doubly_Linked_Object& y);
+
+ //! Inserts \p y after \p *this.
+ void insert_after(Doubly_Linked_Object& y);
+
+ //! Erases \p *this from the chain and returns a pointer to the next element.
+ Doubly_Linked_Object* erase();
+
+ //! Erases \p *this from the chain.
+ ~Doubly_Linked_Object();
+
+private:
+ //! Forward link.
+ Doubly_Linked_Object* next;
+
+ //! Backward link.
+ Doubly_Linked_Object* prev;
+
+ template <typename T> friend class EList;
+ template <typename T> friend class EList_Iterator;
+};
+
+#include "Doubly_Linked_Object_inlines.hh"
+
+#endif // !defined(PPL_Doubly_Linked_Object_defs_hh)
diff --git a/src/Doubly_Linked_Object_inlines.hh b/src/Doubly_Linked_Object_inlines.hh
new file mode 100644
index 0000000..147c6e3
--- /dev/null
+++ b/src/Doubly_Linked_Object_inlines.hh
@@ -0,0 +1,74 @@
+/* Doubly_Linked_Object class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Doubly_Linked_Object_inlines_hh
+#define PPL_Doubly_Linked_Object_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+inline
+Doubly_Linked_Object::Doubly_Linked_Object() {
+}
+
+inline
+Doubly_Linked_Object::Doubly_Linked_Object(Doubly_Linked_Object* f,
+ Doubly_Linked_Object* b)
+ : next(f),
+ prev(b) {
+}
+
+inline void
+Doubly_Linked_Object::insert_before(Doubly_Linked_Object& y) {
+ y.next = this;
+ y.prev = prev;
+ prev->next = &y;
+ prev = &y;
+}
+
+inline void
+Doubly_Linked_Object::insert_after(Doubly_Linked_Object& y) {
+ y.next = next;
+ y.prev = this;
+ next->prev = &y;
+ next = &y;
+}
+
+inline Doubly_Linked_Object*
+Doubly_Linked_Object::erase() {
+ next->prev = prev;
+ prev->next = next;
+ return next;
+}
+
+inline
+Doubly_Linked_Object::~Doubly_Linked_Object() {
+ erase();
+}
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Doubly_Linked_Object_inlines_hh)
diff --git a/src/Doubly_Linked_Object_types.hh b/src/Doubly_Linked_Object_types.hh
new file mode 100644
index 0000000..2e3cac1
--- /dev/null
+++ b/src/Doubly_Linked_Object_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Doubly_Linked_Object_types_hh
+#define PPL_Doubly_Linked_Object_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+class Doubly_Linked_Object;
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Doubly_Linked_Object_types_hh)
diff --git a/src/EList.defs.hh b/src/EList.defs.hh
deleted file mode 100644
index f6e5e24..0000000
--- a/src/EList.defs.hh
+++ /dev/null
@@ -1,90 +0,0 @@
-/* EList class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_EList_defs_hh
-#define PPL_EList_defs_hh 1
-
-#include "EList.types.hh"
-#include "Doubly_Linked_Object.defs.hh"
-#include "EList_Iterator.defs.hh"
-
-/*! \brief
- A simple kind of embedded list (i.e., a doubly linked objects
- where the links are embedded in the objects themselves).
-*/
-template <typename T>
-class Parma_Polyhedra_Library::Implementation::Watchdog::EList
- : private Doubly_Linked_Object {
-public:
- //! A const iterator to traverse the list.
- typedef EList_Iterator<const T> Const_Iterator;
-
- //! A non-const iterator to traverse the list.
- typedef EList_Iterator<T> Iterator;
-
- //! Constructs an empty list.
- EList();
-
- //! Destructs the list and all the elements in it.
- ~EList();
-
- //! Pushes \p obj to the front of the list.
- void push_front(T& obj);
-
- //! Pushes \p obj to the back of the list.
- void push_back(T& obj);
-
- /*! \brief
- Inserts \p obj just before \p position and returns an iterator
- that points to the inserted object.
- */
- Iterator insert(Iterator position, T& obj);
-
- /*! \brief
- Removes the element pointed to by \p position, returning
- an iterator pointing to the next element, if any, or end(), otherwise.
- */
- Iterator erase(Iterator position);
-
- //! Returns <CODE>true</CODE> if and only if the list is empty.
- bool empty() const;
-
- //! Returns an iterator pointing to the beginning of the list.
- Iterator begin();
-
- //! Returns an iterator pointing one past the last element in the list.
- Iterator end();
-
- //! Returns a const iterator pointing to the beginning of the list.
- Const_Iterator begin() const;
-
- //! Returns a const iterator pointing one past the last element in the list.
- Const_Iterator end() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-};
-
-#include "EList.inlines.hh"
-
-#endif // !defined(PPL_EList_defs_hh)
diff --git a/src/EList.inlines.hh b/src/EList.inlines.hh
deleted file mode 100644
index 0645778..0000000
--- a/src/EList.inlines.hh
+++ /dev/null
@@ -1,123 +0,0 @@
-/* EList class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_EList_inlines_hh
-#define PPL_EList_inlines_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename T>
-inline
-EList<T>::EList()
- : Doubly_Linked_Object(this, this) {
-}
-
-template <typename T>
-inline void
-EList<T>::push_front(T& obj) {
- next->insert_before(obj);
-}
-
-template <typename T>
-inline void
-EList<T>::push_back(T& obj) {
- prev->insert_after(obj);
-}
-
-template <typename T>
-inline typename EList<T>::Iterator
-EList<T>::insert(Iterator position, T& obj) {
- position->insert_before(obj);
- return Iterator(&obj);
-}
-
-template <typename T>
-inline typename EList<T>::Iterator
-EList<T>::begin() {
- return Iterator(next);
-}
-
-template <typename T>
-inline typename EList<T>::Iterator
-EList<T>::end() {
- return Iterator(this);
-}
-
-template <typename T>
-inline typename EList<T>::Const_Iterator
-EList<T>::begin() const {
- return Const_Iterator(next);
-}
-
-template <typename T>
-inline typename EList<T>::Const_Iterator
-EList<T>::end() const {
- return Const_Iterator(const_cast<EList<T>*>(this));
-}
-
-template <typename T>
-inline bool
-EList<T>::empty() const {
- return begin() == end();
-}
-
-template <typename T>
-inline typename EList<T>::Iterator
-EList<T>::erase(Iterator position) {
- assert(!empty());
- return Iterator(position->erase());
-}
-
-template <typename T>
-inline
-EList<T>::~EList() {
- // Erase and deallocate all the elements.
- for (Iterator i = begin(), lend = end(), next; i != lend; i = next) {
- next = erase(i);
- delete &*i;
- }
-}
-
-template <typename T>
-inline bool
-EList<T>::OK() const {
- for (Const_Iterator i = begin(), lend = end(); i != lend; ++i)
- if (!i->OK())
- return false;
-
- return true;
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_EList_inlines_hh)
diff --git a/src/EList.types.hh b/src/EList.types.hh
deleted file mode 100644
index ec7e41f..0000000
--- a/src/EList.types.hh
+++ /dev/null
@@ -1,31 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_EList_types_hh
-#define PPL_EList_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename T>
-class EList;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_EList_types_hh)
diff --git a/src/EList_Iterator.defs.hh b/src/EList_Iterator.defs.hh
deleted file mode 100644
index 84a9b27..0000000
--- a/src/EList_Iterator.defs.hh
+++ /dev/null
@@ -1,92 +0,0 @@
-/* EList_Iterator class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_EList_Iterator_defs_hh
-#define PPL_EList_Iterator_defs_hh 1
-
-#include "EList_Iterator.types.hh"
-#include "Doubly_Linked_Object.types.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-template <typename T>
-bool operator==(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-template <typename T>
-bool operator!=(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-//! A class providing iterators for embedded lists.
-template <typename T>
-class Parma_Polyhedra_Library::Implementation::Watchdog::EList_Iterator {
-public:
- //! Constructs an iterator pointing to nothing.
- EList_Iterator();
-
- //! Constructs an iterator pointing to \p p.
- explicit EList_Iterator(Doubly_Linked_Object* p);
-
- //! Changes \p *this so that it points to \p p.
- EList_Iterator& operator=(Doubly_Linked_Object* p);
-
- //! Indirect member selector.
- T* operator->();
-
- //! Dereference operator.
- T& operator*();
-
- //! Preincrement operator.
- EList_Iterator& operator++();
-
- //! Postincrement operator.
- EList_Iterator operator++(int);
-
- //! Predecrement operator.
- EList_Iterator& operator--();
-
- //! Postdecrement operator.
- EList_Iterator operator--(int);
-
-private:
- //! Embedded pointer.
- Doubly_Linked_Object* ptr;
-
- friend bool operator==<T>(const EList_Iterator& x, const EList_Iterator& y);
-
- friend bool operator!=<T>(const EList_Iterator& x, const EList_Iterator& y);
-};
-
-#include "EList_Iterator.inlines.hh"
-
-#endif // !defined(PPL_EList_Iterator_defs_hh)
diff --git a/src/EList_Iterator.inlines.hh b/src/EList_Iterator.inlines.hh
deleted file mode 100644
index 61147b2..0000000
--- a/src/EList_Iterator.inlines.hh
+++ /dev/null
@@ -1,113 +0,0 @@
-/* EList_Iterator class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_EList_Iterator_inlines_hh
-#define PPL_EList_Iterator_inlines_hh 1
-
-#include "Doubly_Linked_Object.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename T>
-inline
-EList_Iterator<T>::EList_Iterator() {
-}
-
-template <typename T>
-inline
-EList_Iterator<T>::EList_Iterator(Doubly_Linked_Object* p)
- : ptr(p) {
-}
-
-template <typename T>
-inline EList_Iterator<T>&
-EList_Iterator<T>::operator=(Doubly_Linked_Object* p) {
- ptr = p;
- return *this;
-}
-
-template <typename T>
-inline T*
-EList_Iterator<T>::operator->() {
- return static_cast<T*>(ptr);
-}
-
-template <typename T>
-inline T&
-EList_Iterator<T>::operator*() {
- return *operator->();
-}
-
-template <typename T>
-inline EList_Iterator<T>&
-EList_Iterator<T>::operator++() {
- ptr = ptr->next;
- return *this;
-}
-
-template <typename T>
-inline EList_Iterator<T>
-EList_Iterator<T>::operator++(int) {
- EList_Iterator tmp = *this;
- ++*this;
- return tmp;
-}
-
-template <typename T>
-inline EList_Iterator<T>&
-EList_Iterator<T>::operator--() {
- ptr = ptr->prev;
- return *this;
-}
-
-template <typename T>
-inline EList_Iterator<T>
-EList_Iterator<T>::operator--(int) {
- EList_Iterator tmp = *this;
- --*this;
- return tmp;
-}
-
-template <typename T>
-inline bool
-operator==(const EList_Iterator<T>& x, const EList_Iterator<T>& y) {
- return x.ptr == y.ptr;
-}
-
-template <typename T>
-inline bool
-operator!=(const EList_Iterator<T>& x, const EList_Iterator<T>& y) {
- return x.ptr != y.ptr;
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_EList_Iterator_inlines_hh)
diff --git a/src/EList_Iterator.types.hh b/src/EList_Iterator.types.hh
deleted file mode 100644
index 9061a1f..0000000
--- a/src/EList_Iterator.types.hh
+++ /dev/null
@@ -1,31 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_EList_Iterator_types_hh
-#define PPL_EList_Iterator_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename T>
-class EList_Iterator;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_EList_Iterator_types_hh)
diff --git a/src/EList_Iterator_defs.hh b/src/EList_Iterator_defs.hh
new file mode 100644
index 0000000..0cabaa5
--- /dev/null
+++ b/src/EList_Iterator_defs.hh
@@ -0,0 +1,88 @@
+/* EList_Iterator class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_EList_Iterator_defs_hh
+#define PPL_EList_Iterator_defs_hh 1
+
+#include "EList_Iterator_types.hh"
+#include "Doubly_Linked_Object_types.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+template <typename T>
+bool operator==(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+template <typename T>
+bool operator!=(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+//! A class providing iterators for embedded lists.
+template <typename T>
+class Parma_Polyhedra_Library::Implementation::EList_Iterator {
+public:
+ //! Constructs an iterator pointing to nothing.
+ EList_Iterator();
+
+ //! Constructs an iterator pointing to \p p.
+ explicit EList_Iterator(Doubly_Linked_Object* p);
+
+ //! Changes \p *this so that it points to \p p.
+ EList_Iterator& operator=(Doubly_Linked_Object* p);
+
+ //! Indirect member selector.
+ T* operator->();
+
+ //! Dereference operator.
+ T& operator*();
+
+ //! Preincrement operator.
+ EList_Iterator& operator++();
+
+ //! Postincrement operator.
+ EList_Iterator operator++(int);
+
+ //! Predecrement operator.
+ EList_Iterator& operator--();
+
+ //! Postdecrement operator.
+ EList_Iterator operator--(int);
+
+private:
+ //! Embedded pointer.
+ Doubly_Linked_Object* ptr;
+
+ friend bool operator==<T>(const EList_Iterator& x, const EList_Iterator& y);
+
+ friend bool operator!=<T>(const EList_Iterator& x, const EList_Iterator& y);
+};
+
+#include "EList_Iterator_inlines.hh"
+
+#endif // !defined(PPL_EList_Iterator_defs_hh)
diff --git a/src/EList_Iterator_inlines.hh b/src/EList_Iterator_inlines.hh
new file mode 100644
index 0000000..1d5e96c
--- /dev/null
+++ b/src/EList_Iterator_inlines.hh
@@ -0,0 +1,109 @@
+/* EList_Iterator class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_EList_Iterator_inlines_hh
+#define PPL_EList_Iterator_inlines_hh 1
+
+#include "Doubly_Linked_Object_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename T>
+inline
+EList_Iterator<T>::EList_Iterator() {
+}
+
+template <typename T>
+inline
+EList_Iterator<T>::EList_Iterator(Doubly_Linked_Object* p)
+ : ptr(p) {
+}
+
+template <typename T>
+inline EList_Iterator<T>&
+EList_Iterator<T>::operator=(Doubly_Linked_Object* p) {
+ ptr = p;
+ return *this;
+}
+
+template <typename T>
+inline T*
+EList_Iterator<T>::operator->() {
+ return static_cast<T*>(ptr);
+}
+
+template <typename T>
+inline T&
+EList_Iterator<T>::operator*() {
+ return *operator->();
+}
+
+template <typename T>
+inline EList_Iterator<T>&
+EList_Iterator<T>::operator++() {
+ ptr = ptr->next;
+ return *this;
+}
+
+template <typename T>
+inline EList_Iterator<T>
+EList_Iterator<T>::operator++(int) {
+ EList_Iterator tmp = *this;
+ ++*this;
+ return tmp;
+}
+
+template <typename T>
+inline EList_Iterator<T>&
+EList_Iterator<T>::operator--() {
+ ptr = ptr->prev;
+ return *this;
+}
+
+template <typename T>
+inline EList_Iterator<T>
+EList_Iterator<T>::operator--(int) {
+ EList_Iterator tmp = *this;
+ --*this;
+ return tmp;
+}
+
+template <typename T>
+inline bool
+operator==(const EList_Iterator<T>& x, const EList_Iterator<T>& y) {
+ return x.ptr == y.ptr;
+}
+
+template <typename T>
+inline bool
+operator!=(const EList_Iterator<T>& x, const EList_Iterator<T>& y) {
+ return x.ptr != y.ptr;
+}
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_EList_Iterator_inlines_hh)
diff --git a/src/EList_Iterator_types.hh b/src/EList_Iterator_types.hh
new file mode 100644
index 0000000..584f9fa
--- /dev/null
+++ b/src/EList_Iterator_types.hh
@@ -0,0 +1,27 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_EList_Iterator_types_hh
+#define PPL_EList_Iterator_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename T>
+class EList_Iterator;
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_EList_Iterator_types_hh)
diff --git a/src/EList_defs.hh b/src/EList_defs.hh
new file mode 100644
index 0000000..3d3fa96
--- /dev/null
+++ b/src/EList_defs.hh
@@ -0,0 +1,90 @@
+/* EList class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_EList_defs_hh
+#define PPL_EList_defs_hh 1
+
+#include "EList_types.hh"
+#include "Doubly_Linked_Object_defs.hh"
+#include "EList_Iterator_defs.hh"
+
+/*! \brief
+ A simple kind of embedded list (i.e., a doubly linked objects
+ where the links are embedded in the objects themselves).
+*/
+template <typename T>
+class Parma_Polyhedra_Library::Implementation::EList
+ : private Doubly_Linked_Object {
+public:
+ //! A const iterator to traverse the list.
+ typedef EList_Iterator<const T> const_iterator;
+
+ //! A non-const iterator to traverse the list.
+ typedef EList_Iterator<T> iterator;
+
+ //! Constructs an empty list.
+ EList();
+
+ //! Destructs the list and all the elements in it.
+ ~EList();
+
+ //! Pushes \p obj to the front of the list.
+ void push_front(T& obj);
+
+ //! Pushes \p obj to the back of the list.
+ void push_back(T& obj);
+
+ /*! \brief
+ Inserts \p obj just before \p position and returns an iterator
+ that points to the inserted object.
+ */
+ iterator insert(iterator position, T& obj);
+
+ /*! \brief
+ Removes the element pointed to by \p position, returning
+ an iterator pointing to the next element, if any, or end(), otherwise.
+ */
+ iterator erase(iterator position);
+
+ //! Returns <CODE>true</CODE> if and only if the list is empty.
+ bool empty() const;
+
+ //! Returns an iterator pointing to the beginning of the list.
+ iterator begin();
+
+ //! Returns an iterator pointing one past the last element in the list.
+ iterator end();
+
+ //! Returns a const iterator pointing to the beginning of the list.
+ const_iterator begin() const;
+
+ //! Returns a const iterator pointing one past the last element in the list.
+ const_iterator end() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+};
+
+#include "EList_inlines.hh"
+
+#endif // !defined(PPL_EList_defs_hh)
diff --git a/src/EList_inlines.hh b/src/EList_inlines.hh
new file mode 100644
index 0000000..010c2a3
--- /dev/null
+++ b/src/EList_inlines.hh
@@ -0,0 +1,119 @@
+/* EList class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_EList_inlines_hh
+#define PPL_EList_inlines_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename T>
+inline
+EList<T>::EList()
+ : Doubly_Linked_Object(this, this) {
+}
+
+template <typename T>
+inline void
+EList<T>::push_front(T& obj) {
+ next->insert_before(obj);
+}
+
+template <typename T>
+inline void
+EList<T>::push_back(T& obj) {
+ prev->insert_after(obj);
+}
+
+template <typename T>
+inline typename EList<T>::iterator
+EList<T>::insert(iterator position, T& obj) {
+ position->insert_before(obj);
+ return iterator(&obj);
+}
+
+template <typename T>
+inline typename EList<T>::iterator
+EList<T>::begin() {
+ return iterator(next);
+}
+
+template <typename T>
+inline typename EList<T>::iterator
+EList<T>::end() {
+ return iterator(this);
+}
+
+template <typename T>
+inline typename EList<T>::const_iterator
+EList<T>::begin() const {
+ return const_iterator(next);
+}
+
+template <typename T>
+inline typename EList<T>::const_iterator
+EList<T>::end() const {
+ return const_iterator(const_cast<EList<T>*>(this));
+}
+
+template <typename T>
+inline bool
+EList<T>::empty() const {
+ return begin() == end();
+}
+
+template <typename T>
+inline typename EList<T>::iterator
+EList<T>::erase(iterator position) {
+ assert(!empty());
+ return iterator(position->erase());
+}
+
+template <typename T>
+inline
+EList<T>::~EList() {
+ // Erase and deallocate all the elements.
+ for (iterator i = begin(), lend = end(), next; i != lend; i = next) {
+ next = erase(i);
+ delete &*i;
+ }
+}
+
+template <typename T>
+inline bool
+EList<T>::OK() const {
+ for (const_iterator i = begin(), lend = end(); i != lend; ++i)
+ if (!i->OK())
+ return false;
+
+ return true;
+}
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_EList_inlines_hh)
diff --git a/src/EList_types.hh b/src/EList_types.hh
new file mode 100644
index 0000000..4793ecc
--- /dev/null
+++ b/src/EList_types.hh
@@ -0,0 +1,27 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_EList_types_hh
+#define PPL_EList_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename T>
+class EList;
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_EList_types_hh)
diff --git a/src/Expression_Adapter_defs.hh b/src/Expression_Adapter_defs.hh
new file mode 100644
index 0000000..f06e1ea
--- /dev/null
+++ b/src/Expression_Adapter_defs.hh
@@ -0,0 +1,216 @@
+/* Expression_Adapter class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Expression_Adapter_defs_hh
+#define PPL_Expression_Adapter_defs_hh 1
+
+#include "Expression_Adapter_types.hh"
+#include "Variable_types.hh"
+#include "Variables_Set_types.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Adapters' base type (for template meta-programming).
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Expression_Adapter_Base {
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An adapter for Linear_Expression objects.
+/*!
+ The adapters are meant to provide read-only, customized access to the
+ Linear_Expression members in Constraint, Generator, Congruence and
+ Grid_Generator objects. They typically implement the user-level view
+ of these expressions.
+
+ \note
+ A few methods implement low-level access routines and will take
+ bare indexes as arguments (rather than Variable objects):
+ when such a bare index \c i is zero, the inhomogeneous term is meant;
+ when the bare index \c i is greater than zero, the coefficient of the
+ variable having id <CODE>i - 1</CODE> is meant.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Adapter
+ : public Expression_Adapter_Base {
+public:
+ //! The type of this object.
+ typedef Expression_Adapter<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename T::const_reference inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename T::raw_type raw_type;
+
+ //! Returns an adapter after one-level unwrapping.
+ inner_type inner() const;
+
+ //! The type of const iterators on coefficients.
+ typedef typename raw_type::const_iterator const_iterator;
+
+ //! Returns the current representation of \p *this.
+ Representation representation() const;
+
+ //! Iterator pointing to the first nonzero variable coefficient.
+ const_iterator begin() const;
+
+ //! Iterator pointing after the last nonzero variable coefficient.
+ const_iterator end() const;
+
+ //! Iterator pointing to the first nonzero variable coefficient
+ //! of a variable bigger than or equal to \p v.
+ const_iterator lower_bound(Variable v) const;
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns the inhomogeneous term of \p *this.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is zero.
+ bool is_zero() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are zero.
+ */
+ bool all_homogeneous_terms_are_zero() const;
+
+ /*! \brief Returns \p true if \p *this is equal to \p y.
+
+ Note that <CODE>(*this == y)</CODE> has a completely different meaning.
+ */
+ template <typename Expression>
+ bool is_equal_to(const Expression& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars is zero.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+ //! Returns the \p i -th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Returns the coefficient of variable \p v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is zero,
+ for each i in [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ //! Returns the number of zero coefficient in [start, end).
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end).
+ Returns zero if all the coefficients in the range are zero.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ //! Returns the index of the last nonzero element, or zero if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last),
+ //! or \p last if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there
+ //! are no nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from set \p x all the indexes of nonzero elements in \p *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \c true if <CODE>(*this)[i]</CODE> is equal to <CODE>y[i]</CODE>,
+ //! for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \c true if <CODE>(*this)[i]*c1</CODE> is equal to
+ //! <CODE>y[i]*c2</CODE>, for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Sparse_Row& row) const;
+
+ //! Returns \c true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both \p *this and \p y.
+ template <typename Expression>
+ bool have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const;
+
+protected:
+ //! Constructor.
+ explicit Expression_Adapter(const raw_type& expr);
+ //! The raw, completely unwrapped object subject to adaptation.
+ const raw_type& raw_;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A transparent adapter for Linear_Expression objects.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Adapter_Transparent
+ : public Expression_Adapter<T> {
+ typedef Expression_Adapter<T> base_type;
+public:
+ //! The type of this object.
+ typedef Expression_Adapter_Transparent<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename base_type::inner_type inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename base_type::raw_type raw_type;
+
+ //! The type of const iterators on coefficients.
+ typedef typename base_type::const_iterator const_iterator;
+
+ //! Constructor.
+ explicit Expression_Adapter_Transparent(const raw_type& expr);
+};
+
+#include "Expression_Adapter_inlines.hh"
+
+#endif // !defined(PPL_Expression_Adapter_defs_hh)
diff --git a/src/Expression_Adapter_inlines.hh b/src/Expression_Adapter_inlines.hh
new file mode 100644
index 0000000..c45f5e8
--- /dev/null
+++ b/src/Expression_Adapter_inlines.hh
@@ -0,0 +1,229 @@
+/* Expression_Adapter class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Expression_Adapter_inlines_hh
+#define PPL_Expression_Adapter_inlines_hh 1
+
+#include "Variables_Set_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+Expression_Adapter<T>::Expression_Adapter(const raw_type& expr)
+ : raw_(expr) {
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::inner_type
+Expression_Adapter<T>::inner() const {
+ return inner_type(raw_);
+}
+
+template <typename T>
+inline Representation
+Expression_Adapter<T>::representation() const {
+ return inner().representation();
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::const_iterator
+Expression_Adapter<T>::begin() const {
+ return inner().begin();
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::const_iterator
+Expression_Adapter<T>::end() const {
+ return inner().end();
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::const_iterator
+Expression_Adapter<T>::lower_bound(Variable v) const {
+ return inner().lower_bound(v);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::space_dimension() const {
+ return inner().space_dimension();
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::coefficient(Variable v) const {
+ return inner().coefficient(v);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::inhomogeneous_term() const {
+ return inner().inhomogeneous_term();
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>::is_zero() const {
+ return inner().is_zero();
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>::all_homogeneous_terms_are_zero() const {
+ return inner().all_homogeneous_terms_are_zero();
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>::is_equal_to(const Expression& y) const {
+ return inner().is_equal_to(y);
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>
+::all_zeroes(const Variables_Set& vars) const {
+ return inner().all_zeroes(vars);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::get(dimension_type i) const {
+ return inner().get(i);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::get(Variable v) const {
+ return inner().get(v);
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ return inner().all_zeroes(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ return inner().num_zeroes(start, end);
+}
+
+template <typename T>
+inline Coefficient
+Expression_Adapter<T>::gcd(dimension_type start,
+ dimension_type end) const {
+ return inner().gcd(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::last_nonzero() const {
+ return inner().last_nonzero();
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::last_nonzero(dimension_type first,
+ dimension_type last) const {
+ return inner().last_nonzero(first, last);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::first_nonzero(dimension_type first,
+ dimension_type last) const {
+ return inner().first_nonzero(first, last);
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const {
+ return inner().all_zeroes_except(vars, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Adapter<T>
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
+ inner().has_a_free_dimension_helper(x);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>
+::is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const {
+ return inner().is_equal_to(y, start, end);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>
+::is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ return inner().is_equal_to(y, c1, c2, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Adapter<T>::get_row(Dense_Row& row) const {
+ inner().get_row(row);
+}
+
+template <typename T>
+inline void
+Expression_Adapter<T>::get_row(Sparse_Row& row) const {
+ inner().get_row(row);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>
+::have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const {
+ return inner().have_a_common_variable(y, first, last);
+}
+
+template <typename T>
+inline
+Expression_Adapter_Transparent<T>
+::Expression_Adapter_Transparent(const raw_type& expr)
+ : base_type(expr) {
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Expression_Adapter_inlines_hh)
diff --git a/src/Expression_Adapter_types.hh b/src/Expression_Adapter_types.hh
new file mode 100644
index 0000000..856d260
--- /dev/null
+++ b/src/Expression_Adapter_types.hh
@@ -0,0 +1,28 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Expression_Adapter_types_hh
+#define PPL_Expression_Adapter_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Expression_Adapter_Base;
+
+template <typename T>
+class Expression_Adapter;
+
+template <typename T>
+class Expression_Adapter_Transparent;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Expression_Adapter_types_hh)
diff --git a/src/Expression_Hide_Inhomo.defs.hh b/src/Expression_Hide_Inhomo.defs.hh
deleted file mode 100644
index 6d99441..0000000
--- a/src/Expression_Hide_Inhomo.defs.hh
+++ /dev/null
@@ -1,176 +0,0 @@
-/* Expression_Hide_Inhomo class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Expression_Hide_Inhomo_defs_hh
-#define PPL_Expression_Hide_Inhomo_defs_hh 1
-
-#include "Expression_Hide_Inhomo.types.hh"
-
-#include "Linear_Expression.types.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A Linear_Expression-like object that hides the inhomogeneous term.
-//! The methods of this class always pretend that it's 0.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Expression>
-class Parma_Polyhedra_Library::Expression_Hide_Inhomo {
-public:
-
- //! Wraps `expr'. Note that `expr' must not be destroyed as long as this
- //! object is alive.
- explicit Expression_Hide_Inhomo(Expression& expr);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- typedef typename Expression::const_iterator const_iterator;
-
- //! Returns an iterator that points to the first nonzero coefficient in the
- //! expression.
- const_iterator begin() const;
-
- //! Returns an iterator that points to the last nonzero coefficient in the
- //! expression.
- const_iterator end() const;
-
- //! Returns an iterator that points to the first nonzero coefficient of a
- //! variable bigger than or equal to v.
- const_iterator lower_bound(Variable v) const;
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Returns the coefficient of \p v in \p *this.
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- bool is_zero() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- bool all_homogeneous_terms_are_zero() const;
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- template <typename Expression2>
- bool is_equal_to(const Expression2& x) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- bool all_zeroes(const Variables_Set& vars) const;
-
-private:
- Expression& expr;
-
- //! Returns the i-th coefficient.
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- //! Returns the coefficient of v.
- Coefficient_traits::const_reference get(Variable v) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- bool all_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- dimension_type num_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- Coefficient gcd(dimension_type start, dimension_type end) const;
-
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- dimension_type last_nonzero() const;
-
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- dimension_type last_nonzero(dimension_type first, dimension_type last) const;
-
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- dimension_type first_nonzero(dimension_type first, dimension_type last) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- bool all_zeroes_except(const Variables_Set& vars, dimension_type start, dimension_type end) const;
-
- //! Removes from the set x all the indexes of nonzero elements of *this.
- void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Dense_Row& row) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Sparse_Row& row) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- template <typename Expression2>
- bool have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const;
-
- // NOTE: The following classes are friends of Expression_Hide_Inhomo in
- // order to access its private methods.
- template <typename T>
- friend class Linear_System;
- friend class Box_Helpers;
- template <typename T>
- friend class Expression_Hide_Inhomo;
- template <typename T>
- friend class Expression_Hide_Last;
-};
-
-#include "Expression_Hide_Inhomo.inlines.hh"
-
-#endif // !defined(PPL_Expression_Hide_Inhomo_defs_hh)
diff --git a/src/Expression_Hide_Inhomo.inlines.hh b/src/Expression_Hide_Inhomo.inlines.hh
deleted file mode 100644
index 2d4b400..0000000
--- a/src/Expression_Hide_Inhomo.inlines.hh
+++ /dev/null
@@ -1,314 +0,0 @@
-/* Expression_Hide_Inhomo class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Expression_Hide_Inhomo_inlines_hh
-#define PPL_Expression_Hide_Inhomo_inlines_hh 1
-
-#include "Variables_Set.defs.hh"
-#include "Linear_Expression.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Expression>
-inline
-Expression_Hide_Inhomo<Expression>
-::Expression_Hide_Inhomo(Expression& expr)
- : expr(expr) {
-}
-
-template <typename Expression>
-inline Representation
-Expression_Hide_Inhomo<Expression>::representation() const {
- return expr.representation();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Inhomo<Expression>::const_iterator
-Expression_Hide_Inhomo<Expression>::begin() const {
- return expr.begin();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Inhomo<Expression>::const_iterator
-Expression_Hide_Inhomo<Expression>::end() const {
- return expr.end();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Inhomo<Expression>::const_iterator
-Expression_Hide_Inhomo<Expression>::lower_bound(Variable v) const {
- return expr.lower_bound(v);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::space_dimension() const {
- return expr.space_dimension();
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::coefficient(Variable v) const {
- return expr.coefficient(v);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::inhomogeneous_term() const {
- return Coefficient_zero();
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::is_zero() const {
- // Don't check the inhomogeneous_term (i.e. pretend it's 0).
- return expr.all_homogeneous_terms_are_zero();
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::all_homogeneous_terms_are_zero() const {
- return expr.all_homogeneous_terms_are_zero();
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::is_equal_to(const Expression2& x) const {
- const dimension_type dim1 = space_dimension();
- const dimension_type dim2 = x.space_dimension();
- if (dim1 != dim2)
- return false;
- if (x.inhomogeneous_term() != 0)
- return false;
- // Note that the inhomogeneous term is not compared.
- return expr.is_equal_to(x, 1, dim1 + 1);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>::is_equal_to(const Expression2& x) const {
- const dimension_type dim1 = space_dimension();
- const dimension_type dim2 = x.space_dimension();
- if (dim1 != dim2)
- return false;
- if (x.inhomogeneous_term() != 0)
- return false;
- // Note that the inhomogeneous term is not compared.
- return x.is_equal_to(expr, 1, dim1 + 1);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::all_zeroes(const Variables_Set& vars) const {
- return expr.all_zeroes(vars);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::get(dimension_type i) const {
- if (i == 0)
- return Coefficient_zero();
- else
- return expr.get(i);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::get(Variable v) const {
- return expr.get(v);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::all_zeroes(dimension_type start,
- dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.all_zeroes(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::num_zeroes(dimension_type start,
- dimension_type end) const {
- if (start == end)
- return 0;
- if (start == 0)
- return 1 + expr.num_zeroes(start + 1, end);
- else
- return expr.num_zeroes(start, end);
-}
-
-template <typename Expression>
-inline Coefficient
-Expression_Hide_Inhomo<Expression>::gcd(dimension_type start,
- dimension_type end) const {
- if (start == end)
- return Coefficient_zero();
- if (start == 0)
- ++start;
- return expr.gcd(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::last_nonzero() const {
- return expr.last_nonzero();
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::last_nonzero(dimension_type first,
- dimension_type last) const {
- return expr.last_nonzero(first, last);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::first_nonzero(dimension_type first,
- dimension_type last) const {
- if (first == last)
- return last;
- if (first == 0)
- ++first;
- return expr.first_nonzero(first, last);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.all_zeroes_except(vars, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Inhomo<Expression>
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
- bool had_0 = (x.count(0) == 1);
- expr.has_a_free_dimension_helper(x);
- if (had_0)
- x.insert(0);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.is_equal_to(x, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return x.is_equal_to(expr, start, end);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.is_equal_to(x, c1, c2, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return x.is_equal_to(expr, c2, c1, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Inhomo<Expression>::get_row(Dense_Row& row) const {
- expr.get_row(row);
- row.reset(0);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Inhomo<Expression>::get_row(Sparse_Row& row) const {
- expr.get_row(row);
- row.reset(0);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- return expr.have_a_common_variable(x, first, last);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- return x.have_a_common_variable(expr, first, last);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Expression_Hide_Inhomo_inlines_hh)
diff --git a/src/Expression_Hide_Inhomo.types.hh b/src/Expression_Hide_Inhomo.types.hh
deleted file mode 100644
index de4318e..0000000
--- a/src/Expression_Hide_Inhomo.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Expression_Hide_Inhomo_types_hh
-#define PPL_Expression_Hide_Inhomo_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Expression>
-class Expression_Hide_Inhomo;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Expression_Hide_Inhomo_types_hh)
diff --git a/src/Expression_Hide_Inhomo_defs.hh b/src/Expression_Hide_Inhomo_defs.hh
new file mode 100644
index 0000000..877c8e1
--- /dev/null
+++ b/src/Expression_Hide_Inhomo_defs.hh
@@ -0,0 +1,147 @@
+/* Expression_Hide_Inhomo class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Expression_Hide_Inhomo_defs_hh
+#define PPL_Expression_Hide_Inhomo_defs_hh 1
+
+#include "Expression_Hide_Inhomo_types.hh"
+
+#include "Expression_Adapter_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ An adapter for Linear_Expression that hides the inhomogeneous term.
+
+ The methods of this class always pretend that the value of the
+ inhomogeneous term is zero.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Hide_Inhomo
+ : public Expression_Adapter<T> {
+ typedef Expression_Adapter<T> base_type;
+public:
+ //! The type of this object.
+ typedef Expression_Hide_Inhomo<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename base_type::inner_type inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename base_type::raw_type raw_type;
+
+ //! Constructor.
+ explicit Expression_Hide_Inhomo(const raw_type& expr);
+
+public:
+ //! The type of const iterators on coefficients.
+ typedef typename base_type::const_iterator const_iterator;
+
+ //! Returns the constant zero.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is zero.
+ bool is_zero() const;
+
+ /*! \brief Returns \p true if \p *this is equal to \p y.
+
+ Note that <CODE>(*this == y)</CODE> has a completely different meaning.
+ */
+ template <typename Expression>
+ bool is_equal_to(const Expression& y) const;
+
+ //! Returns the i-th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Returns the coefficient of v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars is zero.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is zero,
+ for each i in [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the number of zero coefficient in [start, end).
+ */
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end). If all the
+ coefficients in this range are zero, returns zero.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ //! Returns the index of the last nonzero element, or zero if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last), or last
+ //! if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there
+ //! are no nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from set \p x all the indexes of nonzero elements in \p *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \c true if <CODE>(*this)[i]</CODE> is equal to <CODE>y[i]</CODE>,
+ //! for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \c true if <CODE>(*this)[i]*c1</CODE> is equal to
+ //! <CODE>y[i]*c2</CODE>, for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Sparse_Row& row) const;
+};
+
+#include "Expression_Hide_Inhomo_inlines.hh"
+
+#endif // !defined(PPL_Expression_Hide_Inhomo_defs_hh)
diff --git a/src/Expression_Hide_Inhomo_inlines.hh b/src/Expression_Hide_Inhomo_inlines.hh
new file mode 100644
index 0000000..e3a6919
--- /dev/null
+++ b/src/Expression_Hide_Inhomo_inlines.hh
@@ -0,0 +1,218 @@
+/* Expression_Hide_Inhomo class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Expression_Hide_Inhomo_inlines_hh
+#define PPL_Expression_Hide_Inhomo_inlines_hh 1
+
+#include "Variables_Set_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+Expression_Hide_Inhomo<T>::Expression_Hide_Inhomo(const raw_type& expr)
+ : base_type(expr) {
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Inhomo<T>::inhomogeneous_term() const {
+ // Pretend it is zero.
+ return Coefficient_zero();
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>::is_zero() const {
+ // Don't check the inhomogeneous_term (i.e., pretend it is zero).
+ return this->inner().all_homogeneous_terms_are_zero();
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Inhomo<T>
+::is_equal_to(const Expression& y) const {
+ const dimension_type x_dim = this->space_dimension();
+ const dimension_type y_dim = y.space_dimension();
+ if (x_dim != y_dim)
+ return false;
+ if (y.inhomogeneous_term() != 0)
+ return false;
+ // Note that the inhomogeneous term is not compared.
+ return this->inner().is_equal_to(y, 1, x_dim + 1);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Inhomo<T>::get(dimension_type i) const {
+ if (i == 0)
+ return Coefficient_zero();
+ else
+ return this->inner().get(i);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Inhomo<T>::get(Variable v) const {
+ return this->inner().get(v);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>
+::all_zeroes(const Variables_Set& vars) const {
+ return this->inner().all_zeroes(vars);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().all_zeroes(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ if (start == end)
+ return 0;
+ dimension_type nz = 0;
+ if (start == 0) {
+ ++start;
+ ++nz;
+ }
+ nz += this->inner().num_zeroes(start, end);
+ return nz;
+}
+
+template <typename T>
+inline Coefficient
+Expression_Hide_Inhomo<T>::gcd(dimension_type start,
+ dimension_type end) const {
+ if (start == end)
+ return Coefficient_zero();
+ if (start == 0)
+ ++start;
+ return this->inner().gcd(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::last_nonzero() const {
+ return this->inner().last_nonzero();
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::last_nonzero(dimension_type first,
+ dimension_type last) const {
+ if (first == last)
+ return last;
+ if (first == 0)
+ ++first;
+ return this->inner().last_nonzero(first, last);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::first_nonzero(dimension_type first,
+ dimension_type last) const {
+ if (first == last)
+ return last;
+ if (first == 0)
+ ++first;
+ return this->inner().first_nonzero(first, last);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().all_zeroes_except(vars, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Inhomo<T>
+::has_a_free_dimension_helper(std::set<dimension_type>& y) const {
+ bool had_0 = (y.count(0) == 1);
+ this->inner().has_a_free_dimension_helper(y);
+ if (had_0)
+ y.insert(0);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Inhomo<T>
+::is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().is_equal_to(y, start, end);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Inhomo<T>
+::is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().is_equal_to(y, c1, c2, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Inhomo<T>::get_row(Dense_Row& row) const {
+ this->inner().get_row(row);
+ row.reset(0);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Inhomo<T>::get_row(Sparse_Row& row) const {
+ this->inner().get_row(row);
+ row.reset(0);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Expression_Hide_Inhomo_inlines_hh)
diff --git a/src/Expression_Hide_Inhomo_types.hh b/src/Expression_Hide_Inhomo_types.hh
new file mode 100644
index 0000000..b9174ea
--- /dev/null
+++ b/src/Expression_Hide_Inhomo_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Expression_Hide_Inhomo_types_hh
+#define PPL_Expression_Hide_Inhomo_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class Expression_Hide_Inhomo;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Expression_Hide_Inhomo_types_hh)
diff --git a/src/Expression_Hide_Last.defs.hh b/src/Expression_Hide_Last.defs.hh
deleted file mode 100644
index 906a931..0000000
--- a/src/Expression_Hide_Last.defs.hh
+++ /dev/null
@@ -1,193 +0,0 @@
-/* Expression_Hide_Last class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Expression_Hide_Last_defs_hh
-#define PPL_Expression_Hide_Last_defs_hh 1
-
-#include "Expression_Hide_Last.types.hh"
-
-#include "Linear_Expression.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A Linear_Expression-like object that may or may not hide the last
-//! coefficient.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Expression>
-class Parma_Polyhedra_Library::Expression_Hide_Last {
-public:
-
- //! Wraps `expr'. Note that `expr' must not be destroyed as long as this
- //! object is alive.
- explicit Expression_Hide_Last(Expression& expr, bool hide_last = false);
-
- void set_hide_last(bool hide_last);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- typedef typename Expression::const_iterator const_iterator;
-
- //! Returns an iterator that points to the first nonzero coefficient in the
- //! expression.
- const_iterator begin() const;
-
- //! Returns an iterator that points to the last nonzero coefficient in the
- //! expression.
- const_iterator end() const;
-
- //! Returns an iterator that points to the first nonzero coefficient of a
- //! variable bigger than or equal to v.
- const_iterator lower_bound(Variable v) const;
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Returns the coefficient of \p v in \p *this.
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- bool is_zero() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- bool all_homogeneous_terms_are_zero() const;
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- template <typename Expression2>
- bool is_equal_to(const Expression2& x) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- bool all_zeroes(const Variables_Set& vars) const;
-
-private:
- Expression& expr;
- bool hide_last;
-
- //! Returns the i-th coefficient.
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- //! Returns the coefficient of v.
- Coefficient_traits::const_reference get(Variable v) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- bool all_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- dimension_type num_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- Coefficient gcd(dimension_type start, dimension_type end) const;
-
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- dimension_type last_nonzero() const;
-
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- dimension_type last_nonzero(dimension_type first, dimension_type last) const;
-
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- dimension_type first_nonzero(dimension_type first, dimension_type last) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- bool all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const;
-
- //! Removes from the set x all the indexes of nonzero elements of *this.
- void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Dense_Row& row) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Sparse_Row& row) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- template <typename Expression2>
- bool have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const;
-
- // NOTE: The following classes are friends of Expression_Hide_Last in
- // order to access its private methods.
- template <typename T>
- friend class Linear_System;
- friend class Box_Helpers;
- template <typename T>
- friend class Expression_Hide_Inhomo;
- template <typename T>
- friend class Expression_Hide_Last;
- friend class PIP_Problem;
- friend class MIP_Problem;
- template <typename T>
- friend class BD_Shape;
- friend class BHRZ03_Certificate;
- template <typename T>
- friend class Box;
- friend class Grid;
- template <typename T>
- friend class Octagonal_Shape;
- friend class Polyhedron;
- friend class Octagonal_Shape_Helper;
- friend class BD_Shape_Helpers;
-};
-
-#include "Expression_Hide_Last.inlines.hh"
-
-#endif // !defined(PPL_Expression_Hide_Last_defs_hh)
diff --git a/src/Expression_Hide_Last.inlines.hh b/src/Expression_Hide_Last.inlines.hh
deleted file mode 100644
index aa1cc66..0000000
--- a/src/Expression_Hide_Last.inlines.hh
+++ /dev/null
@@ -1,300 +0,0 @@
-/* Expression_Hide_Last class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Expression_Hide_Last_inlines_hh
-#define PPL_Expression_Hide_Last_inlines_hh 1
-
-#include "Variables_Set.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Expression>
-inline
-Expression_Hide_Last<Expression>
-::Expression_Hide_Last(Expression& expr, bool hide_last)
- : expr(expr), hide_last(hide_last) {
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>::set_hide_last(bool hide_last) {
- this->hide_last = hide_last;
-}
-
-template <typename Expression>
-inline Representation
-Expression_Hide_Last<Expression>::representation() const {
- return expr.representation();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Last<Expression>::const_iterator
-Expression_Hide_Last<Expression>::begin() const {
- return expr.begin();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Last<Expression>::const_iterator
-Expression_Hide_Last<Expression>::end() const {
- if (hide_last) {
- PPL_ASSERT(expr.space_dimension() != 0);
- return expr.lower_bound(Variable(expr.space_dimension() - 1));
- } else {
- return expr.end();
- }
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Last<Expression>::const_iterator
-Expression_Hide_Last<Expression>::lower_bound(Variable v) const {
- PPL_ASSERT(v.space_dimension() <= space_dimension() + 1);
- return expr.lower_bound(v);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::space_dimension() const {
- if (hide_last) {
- PPL_ASSERT(expr.space_dimension() != 0);
- return expr.space_dimension() - 1;
- } else
- return expr.space_dimension();
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::coefficient(Variable v) const {
- PPL_ASSERT(v.space_dimension() <= space_dimension());
- return expr.coefficient(v);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::inhomogeneous_term() const {
- return expr.inhomogeneous_term();
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::is_zero() const {
- return expr.all_zeroes(0, space_dimension() + 1);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::all_homogeneous_terms_are_zero() const {
- return expr.all_zeroes(1, space_dimension() + 1);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::is_equal_to(const Expression2& x) const {
- const dimension_type dim1 = space_dimension();
- const dimension_type dim2 = x.space_dimension();
- if (dim1 != dim2)
- return false;
- return is_equal_to(x, 0, dim1 + 1);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::all_zeroes(const Variables_Set& vars) const {
- PPL_ASSERT(vars.space_dimension() <= space_dimension());
- return expr.all_zeroes(vars);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::get(dimension_type i) const {
- PPL_ASSERT(i <= space_dimension());
- return expr.get(i);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::get(Variable v) const {
- PPL_ASSERT(v.space_dimension() <= space_dimension());
- return expr.get(v);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::all_zeroes(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.all_zeroes(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::num_zeroes(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.num_zeroes(start, end);
-}
-
-template <typename Expression>
-inline Coefficient
-Expression_Hide_Last<Expression>::gcd(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.gcd(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::last_nonzero() const {
- return expr.last_nonzero(0, space_dimension() + 1);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::last_nonzero(dimension_type first,
- dimension_type last) const {
- PPL_ASSERT(last <= space_dimension() + 1);
- return expr.last_nonzero(first, last);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::first_nonzero(dimension_type first,
- dimension_type last) const {
- PPL_ASSERT(last <= space_dimension() + 1);
- return expr.first_nonzero(first, last);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>
-::all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.all_zeroes_except(vars, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
- if (x.empty())
- return;
- const dimension_type max_dim = *(x.end());
- PPL_ASSERT(max_dim <= space_dimension());
- expr.has_a_free_dimension_helper(x);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return expr.is_equal_to(x, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Linear_Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return x.is_equal_to(expr, start, end);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return expr.is_equal_to(x, c1, c2, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Linear_Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return x.is_equal_to(expr, c2, c1, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>::get_row(Dense_Row& row) const {
- expr.get_row(row);
- if (hide_last) {
- PPL_ASSERT(row.size() != 0);
- row.resize(row.size() - 1);
- }
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>::get_row(Sparse_Row& row) const {
- expr.get_row(row);
- if (hide_last) {
- PPL_ASSERT(row.size() != 0);
- row.resize(row.size() - 1);
- }
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- PPL_ASSERT(last.space_dimension() <= space_dimension() + 1);
- PPL_ASSERT(last.space_dimension() <= x.space_dimension() + 1);
- return expr.have_a_common_variable(x, first, last);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Linear_Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- PPL_ASSERT(last.space_dimension() <= space_dimension() + 1);
- PPL_ASSERT(last.space_dimension() <= x.space_dimension() + 1);
- return x.have_a_common_variable(expr, first, last);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Expression_Hide_Last_inlines_hh)
diff --git a/src/Expression_Hide_Last.types.hh b/src/Expression_Hide_Last.types.hh
deleted file mode 100644
index 057fbf1..0000000
--- a/src/Expression_Hide_Last.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Expression_Hide_Last_types_hh
-#define PPL_Expression_Hide_Last_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Expression>
-class Expression_Hide_Last;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Expression_Hide_Last_types_hh)
diff --git a/src/Expression_Hide_Last_defs.hh b/src/Expression_Hide_Last_defs.hh
new file mode 100644
index 0000000..7da0a9f
--- /dev/null
+++ b/src/Expression_Hide_Last_defs.hh
@@ -0,0 +1,165 @@
+/* Expression_Hide_Last class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Expression_Hide_Last_defs_hh
+#define PPL_Expression_Hide_Last_defs_hh 1
+
+#include "Expression_Hide_Last_types.hh"
+
+#include "Expression_Adapter_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An adapter for Linear_Expression that maybe hides the last coefficient.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Hide_Last
+ : public Expression_Adapter<T> {
+ typedef Expression_Adapter<T> base_type;
+public:
+ //! The type of this object.
+ typedef Expression_Hide_Last<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename base_type::inner_type inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename base_type::raw_type raw_type;
+
+ //! The type of const iterators on coefficients.
+ typedef typename base_type::const_iterator const_iterator;
+
+ //! Constructor.
+ explicit Expression_Hide_Last(const raw_type& expr, bool hide_last);
+
+ //! Iterator pointing after the last nonzero variable coefficient.
+ const_iterator end() const;
+
+ //! Iterator pointing to the first nonzero variable coefficient
+ //! of a variable bigger than or equal to \p v.
+ const_iterator lower_bound(Variable v) const;
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is zero.
+ bool is_zero() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are zero.
+ */
+ bool all_homogeneous_terms_are_zero() const;
+
+ /*! \brief Returns \p true if \p *this is equal to \p y.
+
+ Note that <CODE>(*this == y)</CODE> has a completely different meaning.
+ */
+ template <typename Expression>
+ bool is_equal_to(const Expression& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars is zero.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+ //! Returns the \p i -th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Returns the coefficient of variable \p v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is zero,
+ for each i in [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ //! Returns the number of zero coefficient in [start, end).
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end).
+ Returns zero if all the coefficients in the range are zero.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ //! Returns the index of the last nonzero element, or zero if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last),
+ //! or \p last if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there are no
+ //! nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from set \p x all the indexes of nonzero elements in \p *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \c true if <CODE>(*this)[i]</CODE> is equal to <CODE>y[i]</CODE>,
+ //! for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \c true if <CODE>(*this)[i]*c1</CODE> is equal to
+ //! <CODE>y[i]*c2</CODE>, for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Sparse_Row& row) const;
+
+ //! Returns \c true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both \p *this and \p y.
+ template <typename Expression>
+ bool have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const;
+
+private:
+ //! Whether or not the last coefficient is hidden.
+ const bool hide_last_;
+};
+
+#include "Expression_Hide_Last_inlines.hh"
+
+#endif // !defined(PPL_Expression_Hide_Last_defs_hh)
diff --git a/src/Expression_Hide_Last_inlines.hh b/src/Expression_Hide_Last_inlines.hh
new file mode 100644
index 0000000..db169fc
--- /dev/null
+++ b/src/Expression_Hide_Last_inlines.hh
@@ -0,0 +1,241 @@
+/* Expression_Hide_Last class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Expression_Hide_Last_inlines_hh
+#define PPL_Expression_Hide_Last_inlines_hh 1
+
+#include "Variables_Set_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+Expression_Hide_Last<T>::Expression_Hide_Last(const raw_type& expr,
+ const bool hide_last)
+ : base_type(expr), hide_last_(hide_last) {
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::space_dimension() const {
+ dimension_type dim = this->inner().space_dimension();
+ if (hide_last_) {
+ PPL_ASSERT(dim > 0);
+ --dim;
+ }
+ return dim;
+}
+
+template <typename T>
+inline typename Expression_Hide_Last<T>::const_iterator
+Expression_Hide_Last<T>::end() const {
+ if (hide_last_) {
+ return this->inner().lower_bound(Variable(space_dimension()));
+ }
+ else {
+ return this->inner().end();
+ }
+}
+
+template <typename T>
+inline typename Expression_Hide_Last<T>::const_iterator
+Expression_Hide_Last<T>::lower_bound(Variable v) const {
+ PPL_ASSERT(v.space_dimension() <= space_dimension() + 1);
+ return this->inner().lower_bound(v);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Last<T>::coefficient(Variable v) const {
+ PPL_ASSERT(v.space_dimension() <= space_dimension());
+ return this->inner().coefficient(v);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::is_zero() const {
+ return this->inner().all_zeroes(0, space_dimension() + 1);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::all_homogeneous_terms_are_zero() const {
+ return this->inner().all_zeroes(1, space_dimension() + 1);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::is_equal_to(const Expression& y) const {
+ const dimension_type x_dim = space_dimension();
+ const dimension_type y_dim = y.space_dimension();
+ if (x_dim != y_dim)
+ return false;
+ return is_equal_to(y, 0, x_dim + 1);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::all_zeroes(const Variables_Set& vars) const {
+ PPL_ASSERT(vars.space_dimension() <= space_dimension());
+ return this->inner().all_zeroes(vars);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Last<T>::get(dimension_type i) const {
+ PPL_ASSERT(i <= space_dimension());
+ return this->inner().get(i);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Last<T>::get(Variable v) const {
+ PPL_ASSERT(v.space_dimension() <= space_dimension());
+ return this->inner().get(v);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().all_zeroes(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().num_zeroes(start, end);
+}
+
+template <typename T>
+inline Coefficient
+Expression_Hide_Last<T>::gcd(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().gcd(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::last_nonzero() const {
+ return this->inner().last_nonzero(0, space_dimension() + 1);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::last_nonzero(dimension_type first,
+ dimension_type last) const {
+ PPL_ASSERT(last <= space_dimension() + 1);
+ return this->inner().last_nonzero(first, last);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::first_nonzero(dimension_type first,
+ dimension_type last) const {
+ PPL_ASSERT(last <= space_dimension() + 1);
+ return this->inner().first_nonzero(first, last);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().all_zeroes_except(vars, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Last<T>
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
+ if (x.empty())
+ return;
+ PPL_ASSERT(*(--x.end()) <= space_dimension());
+ this->inner().has_a_free_dimension_helper(x);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ PPL_ASSERT(end <= y.space_dimension() + 1);
+ return this->inner().is_equal_to(y, start, end);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ PPL_ASSERT(end <= y.space_dimension() + 1);
+ return this->inner().is_equal_to(y, c1, c2, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Last<T>::get_row(Dense_Row& row) const {
+ this->inner().get_row(row);
+ if (hide_last_) {
+ PPL_ASSERT(row.size() != 0);
+ row.resize(row.size() - 1);
+ }
+}
+
+template <typename T>
+inline void
+Expression_Hide_Last<T>::get_row(Sparse_Row& row) const {
+ this->inner().get_row(row);
+ if (hide_last_) {
+ PPL_ASSERT(row.size() != 0);
+ row.resize(row.size() - 1);
+ }
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const {
+ PPL_ASSERT(last.space_dimension() <= space_dimension() + 1);
+ PPL_ASSERT(last.space_dimension() <= y.space_dimension() + 1);
+ return this->inner().have_a_common_variable(y, first, last);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Expression_Hide_Last_inlines_hh)
diff --git a/src/Expression_Hide_Last_types.hh b/src/Expression_Hide_Last_types.hh
new file mode 100644
index 0000000..ce37227
--- /dev/null
+++ b/src/Expression_Hide_Last_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Expression_Hide_Last_types_hh
+#define PPL_Expression_Hide_Last_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class Expression_Hide_Last;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Expression_Hide_Last_types_hh)
diff --git a/src/Float.cc b/src/Float.cc
index 798a10d..1571a1b 100644
--- a/src/Float.cc
+++ b/src/Float.cc
@@ -1,6 +1,6 @@
/* IEC 559 floating point format related functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Float.defs.hh"
+#include "Float_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -38,6 +38,7 @@ const uint64_t float_ieee754_quad::MSP_POS_ZERO;
const uint64_t float_ieee754_quad::MSP_NEG_ZERO;
const uint64_t float_ieee754_quad::LSP_INF;
const uint64_t float_ieee754_quad::LSP_ZERO;
+const uint64_t float_ieee754_quad::MSP_MAX;
const uint64_t float_ieee754_quad::LSP_MAX;
} // Parma_Polyhedra_Library
diff --git a/src/Float.defs.hh b/src/Float.defs.hh
deleted file mode 100644
index 5a3c54d..0000000
--- a/src/Float.defs.hh
+++ /dev/null
@@ -1,516 +0,0 @@
-/* IEC 559 floating point format related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Float_defs_hh
-#define PPL_Float_defs_hh 1
-
-#include "globals.types.hh"
-#include "meta_programming.hh"
-#include "compiler.hh"
-#include "assert.hh"
-#include "Concrete_Expression.types.hh"
-#include "Variable.types.hh"
-#include "Linear_Form.types.hh"
-#include <set>
-#include <cmath>
-#include <map>
-#include <gmp.h>
-
-#ifdef NAN
-#define PPL_NAN NAN
-#else
-#define PPL_NAN (HUGE_VAL - HUGE_VAL)
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_ieee754_half {
- uint16_t word;
- static const uint16_t SGN_MASK = 0x8000U;
- static const uint16_t EXP_MASK = 0xfc00U;
- static const uint16_t POS_INF = 0xfc00U;
- static const uint16_t NEG_INF = 0x7c00U;
- static const uint16_t POS_ZERO = 0x0000U;
- static const uint16_t NEG_ZERO = 0x8000U;
- static const unsigned int BASE = 2;
- static const unsigned int EXPONENT_BITS = 5;
- static const unsigned int MANTISSA_BITS = 10;
- static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
- static const int EXPONENT_BIAS = EXPONENT_MAX;
- static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
- static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
- static const Floating_Point_Format floating_point_format = IEEE754_HALF;
- int inf_sign() const;
- bool is_nan() const;
- int zero_sign() const;
- bool sign_bit() const;
- void negate();
- void dec();
- void inc();
- void set_max(bool negative);
- void build(bool negative, mpz_t mantissa, int exponent);
-
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_ieee754_single {
- uint32_t word;
- static const uint32_t SGN_MASK = 0x80000000U;
- static const uint32_t EXP_MASK = 0x7f800000U;
- static const uint32_t POS_INF = 0x7f800000U;
- static const uint32_t NEG_INF = 0xff800000U;
- static const uint32_t POS_ZERO = 0x00000000U;
- static const uint32_t NEG_ZERO = 0x80000000U;
- static const unsigned int BASE = 2;
- static const unsigned int EXPONENT_BITS = 8;
- static const unsigned int MANTISSA_BITS = 23;
- static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
- static const int EXPONENT_BIAS = EXPONENT_MAX;
- static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
- static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
- static const Floating_Point_Format floating_point_format = IEEE754_SINGLE;
- int inf_sign() const;
- bool is_nan() const;
- int zero_sign() const;
- bool sign_bit() const;
- void negate();
- void dec();
- void inc();
- void set_max(bool negative);
- void build(bool negative, mpz_t mantissa, int exponent);
-};
-
-#ifdef WORDS_BIGENDIAN
-#ifndef PPL_WORDS_BIGENDIAN
-#define PPL_WORDS_BIGENDIAN
-#endif
-#endif
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_ieee754_double {
-#ifdef PPL_WORDS_BIGENDIAN
- uint32_t msp;
- uint32_t lsp;
-#else
- uint32_t lsp;
- uint32_t msp;
-#endif
- static const uint32_t MSP_SGN_MASK = 0x80000000U;
- static const uint32_t MSP_POS_INF = 0x7ff00000U;
- static const uint32_t MSP_NEG_INF = 0xfff00000U;
- static const uint32_t MSP_POS_ZERO = 0x00000000U;
- static const uint32_t MSP_NEG_ZERO = 0x80000000U;
- static const uint32_t LSP_INF = 0;
- static const uint32_t LSP_ZERO = 0;
- static const uint32_t LSP_MAX = 0xffffffffU;
- static const unsigned int BASE = 2;
- static const unsigned int EXPONENT_BITS = 11;
- static const unsigned int MANTISSA_BITS = 52;
- static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
- static const int EXPONENT_BIAS = EXPONENT_MAX;
- static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
- static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
- static const Floating_Point_Format floating_point_format = IEEE754_DOUBLE;
- int inf_sign() const;
- bool is_nan() const;
- int zero_sign() const;
- bool sign_bit() const;
- void negate();
- void dec();
- void inc();
- void set_max(bool negative);
- void build(bool negative, mpz_t mantissa, int exponent);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_ibm_single {
- uint32_t word;
- static const uint32_t SGN_MASK = 0x80000000U;
- static const uint32_t EXP_MASK = 0x7f000000U;
- static const uint32_t POS_INF = 0x7f000000U;
- static const uint32_t NEG_INF = 0xff000000U;
- static const uint32_t POS_ZERO = 0x00000000U;
- static const uint32_t NEG_ZERO = 0x80000000U;
- static const unsigned int BASE = 16;
- static const unsigned int EXPONENT_BITS = 7;
- static const unsigned int MANTISSA_BITS = 24;
- static const int EXPONENT_BIAS = 64;
- static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
- static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
- static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
- static const Floating_Point_Format floating_point_format = IBM_SINGLE;
- int inf_sign() const;
- bool is_nan() const;
- int zero_sign() const;
- bool sign_bit() const;
- void negate();
- void dec();
- void inc();
- void set_max(bool negative);
- void build(bool negative, mpz_t mantissa, int exponent);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_ibm_double {
- static const unsigned int BASE = 16;
- static const unsigned int EXPONENT_BITS = 7;
- static const unsigned int MANTISSA_BITS = 56;
- static const int EXPONENT_BIAS = 64;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_intel_double_extended {
-#ifdef PPL_WORDS_BIGENDIAN
- uint32_t msp;
- uint64_t lsp;
-#else
- uint64_t lsp;
- uint32_t msp;
-#endif
- static const uint32_t MSP_SGN_MASK = 0x00008000U;
- static const uint32_t MSP_POS_INF = 0x00007fffU;
- static const uint32_t MSP_NEG_INF = 0x0000ffffU;
- static const uint32_t MSP_POS_ZERO = 0x00000000U;
- static const uint32_t MSP_NEG_ZERO = 0x00008000U;
- static const uint64_t LSP_INF = static_cast<uint64_t>(0x8000000000000000ULL);
- static const uint64_t LSP_ZERO = 0;
- static const uint64_t LSP_DMAX = static_cast<uint64_t>(0x7fffffffffffffffULL);
- static const uint64_t LSP_NMAX = static_cast<uint64_t>(0xffffffffffffffffULL);
- static const unsigned int BASE = 2;
- static const unsigned int EXPONENT_BITS = 15;
- static const unsigned int MANTISSA_BITS = 63;
- static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
- static const int EXPONENT_BIAS = EXPONENT_MAX;
- static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
- static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
- static const Floating_Point_Format floating_point_format =
- INTEL_DOUBLE_EXTENDED;
- int inf_sign() const;
- bool is_nan() const;
- int zero_sign() const;
- bool sign_bit() const;
- void negate();
- void dec();
- void inc();
- void set_max(bool negative);
- void build(bool negative, mpz_t mantissa, int exponent);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct float_ieee754_quad {
-#ifdef PPL_WORDS_BIGENDIAN
- uint64_t msp;
- uint64_t lsp;
-#else
- uint64_t lsp;
- uint64_t msp;
-#endif
- static const uint64_t MSP_SGN_MASK = static_cast<uint64_t>(0x8000000000000000ULL);
- static const uint64_t MSP_POS_INF = static_cast<uint64_t>(0x7fff000000000000ULL);
- static const uint64_t MSP_NEG_INF = static_cast<uint64_t>(0xffff000000000000ULL);
- static const uint64_t MSP_POS_ZERO = static_cast<uint64_t>(0x0000000000000000ULL);
- static const uint64_t MSP_NEG_ZERO = static_cast<uint64_t>(0x8000000000000000ULL);
- static const uint64_t LSP_INF = 0;
- static const uint64_t LSP_ZERO = 0;
- static const uint64_t LSP_MAX = static_cast<uint64_t>(0xffffffffffffffffULL);
- static const unsigned int BASE = 2;
- static const unsigned int EXPONENT_BITS = 15;
- static const unsigned int MANTISSA_BITS = 112;
- static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
- static const int EXPONENT_BIAS = EXPONENT_MAX;
- static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
- static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
- int inf_sign() const;
- bool is_nan() const;
- int zero_sign() const;
- bool sign_bit() const;
- void negate();
- void dec();
- void inc();
- void set_max(bool negative);
- void build(bool negative, mpz_t mantissa, int exponent);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Float : public False { };
-
-#if PPL_SUPPORTED_FLOAT
-template <>
-class Float<float> : public True {
-public:
-#if PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_HALF
- typedef float_ieee754_half Binary;
-#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_SINGLE
- typedef float_ieee754_single Binary;
-#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_DOUBLE
- typedef float_ieee754_double Binary;
-#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IBM_SINGLE
- typedef float_ibm_single Binary;
-#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_QUAD
- typedef float_ieee754_quad Binary;
-#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_INTEL_DOUBLE_EXTENDED
- typedef float_intel_double_extended Binary;
-#else
-#error "Invalid value for PPL_CXX_FLOAT_BINARY_FORMAT"
-#endif
- union {
- float number;
- Binary binary;
- } u;
- Float();
- Float(float v);
- float value();
-};
-#endif
-
-#if PPL_SUPPORTED_DOUBLE
-template <>
-class Float<double> : public True {
-public:
-#if PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_HALF
- typedef float_ieee754_half Binary;
-#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_SINGLE
- typedef float_ieee754_single Binary;
-#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_DOUBLE
- typedef float_ieee754_double Binary;
-#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IBM_SINGLE
- typedef float_ibm_single Binary;
-#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_QUAD
- typedef float_ieee754_quad Binary;
-#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_INTEL_DOUBLE_EXTENDED
- typedef float_intel_double_extended Binary;
-#else
-#error "Invalid value for PPL_CXX_DOUBLE_BINARY_FORMAT"
-#endif
- union {
- double number;
- Binary binary;
- } u;
- Float();
- Float(double v);
- double value();
-};
-#endif
-
-#if PPL_SUPPORTED_LONG_DOUBLE
-template <>
-class Float<long double> : public True {
-public:
-#if PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_HALF
- typedef float_ieee754_half Binary;
-#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_SINGLE
- typedef float_ieee754_single Binary;
-#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_DOUBLE
- typedef float_ieee754_double Binary;
-#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IBM_SINGLE
- typedef float_ibm_single Binary;
-#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_QUAD
- typedef float_ieee754_quad Binary;
-#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_INTEL_DOUBLE_EXTENDED
- typedef float_intel_double_extended Binary;
-#else
-#error "Invalid value for PPL_CXX_LONG_DOUBLE_BINARY_FORMAT"
-#endif
- union {
- long double number;
- Binary binary;
- } u;
- Float();
- Float(long double v);
- long double value();
-};
-#endif
-
-// FIXME: is this the right place for this function?
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- If \p v is nonzero, returns the position of the most significant bit
- in \p a.
-
- The behavior is undefined if \p v is zero.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-unsigned int msb_position(unsigned long long v);
-
-/*! \brief
- An abstract class to be implemented by an external analyzer such
- as ECLAIR in order to provide to the PPL the necessary information
- for performing the analysis of floating point computations.
-
- \par Template type parameters
-
- - The class template parameter \p Target specifies the implementation
- of Concrete_Expression to be used.
- - The class template parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain. The interval bounds
- should have a floating point type.
-*/
-template <typename Target, typename FP_Interval_Type>
-class FP_Oracle {
-public:
- /*
- FIXME: the const qualifiers on expressions may raise CLANG
- compatibility issues. It may be necessary to omit them.
- */
-
- /*! \brief
- Asks the external analyzer for an interval that correctly
- approximates the floating point entity referenced by \p dim.
- Result is stored into \p result.
-
- \return <CODE>true</CODE> if the analyzer was able to find a correct
- approximation, <CODE>false</CODE> otherwise.
- */
- virtual bool get_interval(dimension_type dim, FP_Interval_Type& result) const
- = 0;
-
- /*! \brief
- Asks the external analyzer for an interval that correctly
- approximates the value of floating point constant \p expr.
- Result is stored into \p result.
-
- \return <CODE>true</CODE> if the analyzer was able to find a correct
- approximation, <CODE>false</CODE> otherwise.
- */
- virtual bool get_fp_constant_value(
- const Floating_Point_Constant<Target>& expr,
- FP_Interval_Type& result) const = 0;
-
- /*! \brief
- Asks the external analyzer for an interval that correctly approximates
- the value of \p expr, which must be of integer type.
- Result is stored into \p result.
-
- \return <CODE>true</CODE> if the analyzer was able to find a correct
- approximation, <CODE>false</CODE> otherwise.
- */
- virtual bool get_integer_expr_value(const Concrete_Expression<Target>& expr,
- FP_Interval_Type& result) const = 0;
-
- /*! \brief
- Asks the external analyzer for the possible space dimensions that
- are associated to the approximable reference \p expr.
- Result is stored into \p result.
-
- \return <CODE>true</CODE> if the analyzer was able to return
- the (possibly empty!) set, <CODE>false</CODE> otherwise.
-
- The resulting set MUST NOT contain <CODE>not_a_dimension()</CODE>.
- */
- virtual bool get_associated_dimensions(
- const Approximable_Reference<Target>& expr,
- std::set<dimension_type>& result) const = 0;
-
-};
-
-/* FIXME: some of the following documentation should probably be
- under PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS */
-
-/*! \brief \relates Float
- Returns <CODE>true</CODE> if and only if there is some floating point
- number that is representable by \p f2 but not by \p f1.
-*/
-bool is_less_precise_than(Floating_Point_Format f1, Floating_Point_Format f2);
-
-/*! \brief \relates Float
- Computes the absolute error of floating point computations.
-
- \par Template type parameters
-
- - The class template parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain. The interval bounds
- should have a floating point type.
-
- \param analyzed_format The floating point format used by the analyzed
- program.
-
- \return The interval \f$[-\omega, \omega]\f$ where \f$\omega\f$ is the
- smallest non-zero positive number in the less precise floating point
- format between the analyzer format and the analyzed format.
-*/
-template <typename FP_Interval_Type>
-const FP_Interval_Type&
-compute_absolute_error(Floating_Point_Format analyzed_format);
-
-/*! \brief \relates Linear_Form
- Discards all linear forms containing variable \p var from the
- linear form abstract store \p lf_store.
-*/
-template <typename FP_Interval_Type>
-void
-discard_occurrences(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& lf_store,
- Variable var);
-
-/*! \brief \relates Linear_Form
- Assigns the linear form \p lf to \p var in the linear form abstract
- store \p lf_store, then discards all occurrences of \p var from it.
-*/
-template <typename FP_Interval_Type>
-void
-affine_form_image(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& lf_store,
- Variable var,
- const Linear_Form<FP_Interval_Type>& lf);
-
-/*! \brief \relates Linear_Form
- Discards from \p ls1 all linear forms but those that are associated
- to the same variable in \p ls2.
-*/
-template <typename FP_Interval_Type>
-void
-upper_bound_assign(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& ls1,
- const std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& ls2);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Float.inlines.hh"
-#include "Float.templates.hh"
-
-#endif // !defined(PPL_Float_defs_hh)
diff --git a/src/Float.inlines.hh b/src/Float.inlines.hh
deleted file mode 100644
index 09933e7..0000000
--- a/src/Float.inlines.hh
+++ /dev/null
@@ -1,536 +0,0 @@
-/* IEC 559 floating point format related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Float_inlines_hh
-#define PPL_Float_inlines_hh 1
-
-#include <climits>
-#include "Variable.defs.hh"
-#include "Linear_Form.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline int
-float_ieee754_half::inf_sign() const {
- if (word == NEG_INF)
- return -1;
- if (word == POS_INF)
- return 1;
- return 0;
-}
-
-inline bool
-float_ieee754_half::is_nan() const {
- return (word & ~SGN_MASK) > POS_INF;
-}
-
-inline int
-float_ieee754_half::zero_sign() const {
- if (word == NEG_ZERO)
- return -1;
- if (word == POS_ZERO)
- return 1;
- return 0;
-}
-
-inline void
-float_ieee754_half::negate() {
- word ^= SGN_MASK;
-}
-
-inline bool
-float_ieee754_half::sign_bit() const {
- return (word & SGN_MASK) != 0;
-}
-
-inline void
-float_ieee754_half::dec() {
- --word;
-}
-
-inline void
-float_ieee754_half::inc() {
- ++word;
-}
-
-inline void
-float_ieee754_half::set_max(bool negative) {
- word = 0x7bffU;
- if (negative)
- word |= SGN_MASK;
-}
-
-inline void
-float_ieee754_half::build(bool negative, mpz_t mantissa, int exponent) {
- word = static_cast<uint16_t>(mpz_get_ui(mantissa)
- & ((1UL << MANTISSA_BITS) - 1));
- if (negative)
- word |= SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
- PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
- word |= static_cast<uint16_t>(exponent_repr) << MANTISSA_BITS;
-}
-
-inline int
-float_ieee754_single::inf_sign() const {
- if (word == NEG_INF)
- return -1;
- if (word == POS_INF)
- return 1;
- return 0;
-}
-
-inline bool
-float_ieee754_single::is_nan() const {
- return (word & ~SGN_MASK) > POS_INF;
-}
-
-inline int
-float_ieee754_single::zero_sign() const {
- if (word == NEG_ZERO)
- return -1;
- if (word == POS_ZERO)
- return 1;
- return 0;
-}
-
-inline void
-float_ieee754_single::negate() {
- word ^= SGN_MASK;
-}
-
-inline bool
-float_ieee754_single::sign_bit() const {
- return (word & SGN_MASK) != 0;
-}
-
-inline void
-float_ieee754_single::dec() {
- --word;
-}
-
-inline void
-float_ieee754_single::inc() {
- ++word;
-}
-
-inline void
-float_ieee754_single::set_max(bool negative) {
- word = 0x7f7fffffU;
- if (negative)
- word |= SGN_MASK;
-}
-
-inline void
-float_ieee754_single::build(bool negative, mpz_t mantissa, int exponent) {
- word = static_cast<uint32_t>(mpz_get_ui(mantissa)
- & ((1UL << MANTISSA_BITS) - 1));
- if (negative)
- word |= SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
- PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
- word |= static_cast<uint32_t>(exponent_repr) << MANTISSA_BITS;
-}
-
-inline int
-float_ieee754_double::inf_sign() const {
- if (lsp != LSP_INF)
- return 0;
- if (msp == MSP_NEG_INF)
- return -1;
- if (msp == MSP_POS_INF)
- return 1;
- return 0;
-}
-
-inline bool
-float_ieee754_double::is_nan() const {
- uint32_t a = msp & ~MSP_SGN_MASK;
- return a > MSP_POS_INF || (a == MSP_POS_INF && lsp != LSP_INF);
-}
-
-inline int
-float_ieee754_double::zero_sign() const {
- if (lsp != LSP_ZERO)
- return 0;
- if (msp == MSP_NEG_ZERO)
- return -1;
- if (msp == MSP_POS_ZERO)
- return 1;
- return 0;
-}
-
-inline void
-float_ieee754_double::negate() {
- msp ^= MSP_SGN_MASK;
-}
-
-inline bool
-float_ieee754_double::sign_bit() const {
- return (msp & MSP_SGN_MASK) != 0;
-}
-
-inline void
-float_ieee754_double::dec() {
- if (lsp == 0) {
- --msp;
- lsp = LSP_MAX;
- }
- else
- --lsp;
-}
-
-inline void
-float_ieee754_double::inc() {
- if (lsp == LSP_MAX) {
- ++msp;
- lsp = 0;
- }
- else
- ++lsp;
-}
-
-inline void
-float_ieee754_double::set_max(bool negative) {
- msp = 0x7fefffffU;
- lsp = 0xffffffffU;
- if (negative)
- msp |= MSP_SGN_MASK;
-}
-
-inline void
-float_ieee754_double::build(bool negative, mpz_t mantissa, int exponent) {
- unsigned long m;
-#if ULONG_MAX == 0xffffffffUL
- lsp = mpz_get_ui(mantissa);
- mpz_tdiv_q_2exp(mantissa, mantissa, 32);
- m = mpz_get_ui(mantissa);
-#else
- m = mpz_get_ui(mantissa);
- lsp = static_cast<uint32_t>(m & LSP_MAX);
- m >>= 32;
-#endif
- msp = static_cast<uint32_t>(m & ((1UL << (MANTISSA_BITS - 32)) - 1));
- if (negative)
- msp |= MSP_SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
- PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
- msp |= static_cast<uint32_t>(exponent_repr) << (MANTISSA_BITS - 32);
-}
-
-inline int
-float_ibm_single::inf_sign() const {
- if (word == NEG_INF)
- return -1;
- if (word == POS_INF)
- return 1;
- return 0;
-}
-
-inline bool
-float_ibm_single::is_nan() const {
- return (word & ~SGN_MASK) > POS_INF;
-}
-
-inline int
-float_ibm_single::zero_sign() const {
- if (word == NEG_ZERO)
- return -1;
- if (word == POS_ZERO)
- return 1;
- return 0;
-}
-
-inline void
-float_ibm_single::negate() {
- word ^= SGN_MASK;
-}
-
-inline bool
-float_ibm_single::sign_bit() const {
- return (word & SGN_MASK) != 0;
-}
-
-inline void
-float_ibm_single::dec() {
- --word;
-}
-
-inline void
-float_ibm_single::inc() {
- ++word;
-}
-
-inline void
-float_ibm_single::set_max(bool negative) {
- word = 0x7f000000U;
- if (negative)
- word |= SGN_MASK;
-}
-
-inline void
-float_ibm_single::build(bool negative, mpz_t mantissa, int exponent) {
- word = static_cast<uint32_t>(mpz_get_ui(mantissa)
- & ((1UL << MANTISSA_BITS) - 1));
- if (negative)
- word |= SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
- PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
- word |= static_cast<uint32_t>(exponent_repr) << MANTISSA_BITS;
-}
-
-inline int
-float_intel_double_extended::inf_sign() const {
- if (lsp != LSP_INF)
- return 0;
- uint32_t a = msp & MSP_NEG_INF;
- if (a == MSP_NEG_INF)
- return -1;
- if (a == MSP_POS_INF)
- return 1;
- return 0;
-}
-
-inline bool
-float_intel_double_extended::is_nan() const {
- return (msp & MSP_POS_INF) == MSP_POS_INF
- && lsp != LSP_INF;
-}
-
-inline int
-float_intel_double_extended::zero_sign() const {
- if (lsp != LSP_ZERO)
- return 0;
- uint32_t a = msp & MSP_NEG_INF;
- if (a == MSP_NEG_ZERO)
- return -1;
- if (a == MSP_POS_ZERO)
- return 1;
- return 0;
-}
-
-inline void
-float_intel_double_extended::negate() {
- msp ^= MSP_SGN_MASK;
-}
-
-inline bool
-float_intel_double_extended::sign_bit() const {
- return (msp & MSP_SGN_MASK) != 0;
-}
-
-inline void
-float_intel_double_extended::dec() {
- if ((lsp & LSP_DMAX) == 0) {
- --msp;
- lsp = ((msp & MSP_NEG_INF) == 0) ? LSP_DMAX : LSP_NMAX;
- }
- else
- --lsp;
-}
-
-inline void
-float_intel_double_extended::inc() {
- if ((lsp & LSP_DMAX) == LSP_DMAX) {
- ++msp;
- lsp = LSP_DMAX + 1;
- }
- else
- ++lsp;
-}
-
-inline void
-float_intel_double_extended::set_max(bool negative) {
- msp = 0x00007ffeU;
- lsp = static_cast<uint64_t>(0xffffffffffffffffULL);
- if (negative)
- msp |= MSP_SGN_MASK;
-}
-
-inline void
-float_intel_double_extended::build(bool negative,
- mpz_t mantissa, int exponent) {
-#if ULONG_MAX == 0xffffffffUL
- mpz_export(&lsp, 0, -1, 8, 0, 0, mantissa);
-#else
- lsp = mpz_get_ui(mantissa);
-#endif
- msp = (negative ? MSP_SGN_MASK : 0);
- int exponent_repr = exponent + EXPONENT_BIAS;
- PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
- msp |= static_cast<uint32_t>(exponent_repr);
-}
-
-inline int
-float_ieee754_quad::inf_sign() const {
- if (lsp != LSP_INF)
- return 0;
- if (msp == MSP_NEG_INF)
- return -1;
- if (msp == MSP_POS_INF)
- return 1;
- return 0;
-}
-
-inline bool
-float_ieee754_quad::is_nan() const {
- return (msp & ~MSP_SGN_MASK) == MSP_POS_INF
- && lsp != LSP_INF;
-}
-
-inline int
-float_ieee754_quad::zero_sign() const {
- if (lsp != LSP_ZERO)
- return 0;
- if (msp == MSP_NEG_ZERO)
- return -1;
- if (msp == MSP_POS_ZERO)
- return 1;
- return 0;
-}
-
-inline void
-float_ieee754_quad::negate() {
- msp ^= MSP_SGN_MASK;
-}
-
-inline bool
-float_ieee754_quad::sign_bit() const {
- return (msp & MSP_SGN_MASK) != 0;
-}
-
-inline void
-float_ieee754_quad::dec() {
- if (lsp == 0) {
- --msp;
- lsp = LSP_MAX;
- }
- else
- --lsp;
-}
-
-inline void
-float_ieee754_quad::inc() {
- if (lsp == LSP_MAX) {
- ++msp;
- lsp = 0;
- }
- else
- ++lsp;
-}
-
-inline void
-float_ieee754_quad::set_max(bool negative) {
- msp = static_cast<uint64_t>(0x7ffeffffffffffffULL);
- lsp = static_cast<uint64_t>(0xffffffffffffffffULL);
- if (negative)
- msp |= MSP_SGN_MASK;
-}
-
-inline void
-float_ieee754_quad::build(bool negative, mpz_t mantissa, int exponent) {
- uint64_t parts[2];
- mpz_export(parts, 0, -1, 8, 0, 0, mantissa);
- lsp = parts[0];
- msp = parts[1];
- msp &= ((static_cast<uint64_t>(1) << (MANTISSA_BITS - 64)) - 1);
- if (negative)
- msp |= MSP_SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
- PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
- msp |= static_cast<uint64_t>(exponent_repr) << (MANTISSA_BITS - 64);
-}
-
-inline bool
-is_less_precise_than(Floating_Point_Format f1, Floating_Point_Format f2) {
- return f1 < f2;
-}
-
-inline unsigned int
-msb_position(unsigned long long v) {
- return static_cast<unsigned int>(sizeof_to_bits(sizeof(v))) - 1U - clz(v);
-}
-
-template <typename FP_Interval_Type>
-inline void
-affine_form_image(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& lf_store,
- const Variable var,
- const Linear_Form<FP_Interval_Type>& lf) {
- // Assign the new linear form for var.
- lf_store[var.id()] = lf;
- // Now invalidate all linear forms in which var occurs.
- discard_occurrences(lf_store, var);
-}
-
-#if PPL_SUPPORTED_FLOAT
-inline
-Float<float>::Float() {
-}
-
-inline
-Float<float>::Float(float v) {
- u.number = v;
-}
-
-inline float
-Float<float>::value() {
- return u.number;
-}
-#endif
-
-#if PPL_SUPPORTED_DOUBLE
-inline
-Float<double>::Float() {
-}
-
-inline
-Float<double>::Float(double v) {
- u.number = v;
-}
-
-inline double
-Float<double>::value() {
- return u.number;
-}
-#endif
-
-#if PPL_SUPPORTED_LONG_DOUBLE
-inline
-Float<long double>::Float() {
-}
-
-inline
-Float<long double>::Float(long double v) {
- u.number = v;
-}
-
-inline long double
-Float<long double>::value() {
- return u.number;
-}
-#endif
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Float_inlines_hh)
diff --git a/src/Float.templates.hh b/src/Float.templates.hh
deleted file mode 100644
index 871ff5a..0000000
--- a/src/Float.templates.hh
+++ /dev/null
@@ -1,167 +0,0 @@
-/* IEC 559 floating point format related functions:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Float_templates_hh
-#define PPL_Float_templates_hh 1
-
-#include "Variable.defs.hh"
-#include "Linear_Form.defs.hh"
-#include <cmath>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type>
-const FP_Interval_Type& compute_absolute_error(
- const Floating_Point_Format analyzed_format) {
- typedef typename FP_Interval_Type::boundary_type analyzer_format;
-
- // FIXME: check if initializing caches with EMPTY is better.
- static const FP_Interval_Type ZERO_INTERVAL = FP_Interval_Type(0);
- // Cached results for each different analyzed format.
- static FP_Interval_Type ieee754_half_result = ZERO_INTERVAL;
- static FP_Interval_Type ieee754_single_result = ZERO_INTERVAL;
- static FP_Interval_Type ieee754_double_result = ZERO_INTERVAL;
- static FP_Interval_Type ibm_single_result = ZERO_INTERVAL;
- static FP_Interval_Type ieee754_quad_result = ZERO_INTERVAL;
- static FP_Interval_Type intel_double_extended_result = ZERO_INTERVAL;
-
- FP_Interval_Type* to_compute = NULL;
- // Get the necessary information on the analyzed's format.
- unsigned int f_base;
- int f_exponent_bias;
- unsigned int f_mantissa_bits;
- switch (analyzed_format) {
- case IEEE754_HALF:
- if (ieee754_half_result != ZERO_INTERVAL)
- return ieee754_half_result;
-
- to_compute = &ieee754_half_result;
- f_base = float_ieee754_half::BASE;
- f_exponent_bias = float_ieee754_half::EXPONENT_BIAS;
- f_mantissa_bits = float_ieee754_half::MANTISSA_BITS;
- break;
- case IEEE754_SINGLE:
- if (ieee754_single_result != ZERO_INTERVAL)
- return ieee754_single_result;
-
- to_compute = &ieee754_single_result;
- f_base = float_ieee754_single::BASE;
- f_exponent_bias = float_ieee754_single::EXPONENT_BIAS;
- f_mantissa_bits = float_ieee754_single::MANTISSA_BITS;
- break;
- case IEEE754_DOUBLE:
- if (ieee754_double_result != ZERO_INTERVAL)
- return ieee754_double_result;
-
- to_compute = &ieee754_double_result;
- f_base = float_ieee754_double::BASE;
- f_exponent_bias = float_ieee754_double::EXPONENT_BIAS;
- f_mantissa_bits = float_ieee754_double::MANTISSA_BITS;
- break;
- case IBM_SINGLE:
- if (ibm_single_result != ZERO_INTERVAL)
- return ibm_single_result;
-
- to_compute = &ibm_single_result;
- f_base = float_ibm_single::BASE;
- f_exponent_bias = float_ibm_single::EXPONENT_BIAS;
- f_mantissa_bits = float_ibm_single::MANTISSA_BITS;
- break;
- case IEEE754_QUAD:
- if (ieee754_quad_result != ZERO_INTERVAL)
- return ieee754_quad_result;
-
- to_compute = &ieee754_quad_result;
- f_base = float_ieee754_quad::BASE;
- f_exponent_bias = float_ieee754_quad::EXPONENT_BIAS;
- f_mantissa_bits = float_ieee754_quad::MANTISSA_BITS;
- break;
- case INTEL_DOUBLE_EXTENDED:
- if (intel_double_extended_result != ZERO_INTERVAL)
- return intel_double_extended_result;
-
- to_compute = &intel_double_extended_result;
- f_base = float_intel_double_extended::BASE;
- f_exponent_bias = float_intel_double_extended::EXPONENT_BIAS;
- f_mantissa_bits = float_intel_double_extended::MANTISSA_BITS;
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
-
- PPL_ASSERT(to_compute != NULL);
-
- // We assume that f_base is a power of 2.
- analyzer_format omega;
- int power = static_cast<int>(msb_position(f_base))
- * ((1 - f_exponent_bias) - static_cast<int>(f_mantissa_bits));
- omega = std::max(static_cast<analyzer_format>(ldexp(1.0, power)),
- std::numeric_limits<analyzer_format>::denorm_min());
-
- to_compute->build(i_constraint(GREATER_OR_EQUAL, -omega),
- i_constraint(LESS_OR_EQUAL, omega));
- return *to_compute;
-}
-
-template <typename FP_Interval_Type>
-void
-discard_occurrences(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& lf_store,
- Variable var) {
- typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
- typedef typename std::map<dimension_type, FP_Linear_Form>::iterator Iter;
- for (Iter i = lf_store.begin(); i != lf_store.end(); ) {
- if((i->second).coefficient(var) != 0)
- i = lf_store.erase(i);
- else
- ++i;
- }
-}
-
-/* FIXME: improve efficiency by adding the list of potentially conflicting
- variables as an argument. */
-template <typename FP_Interval_Type>
-void upper_bound_assign(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& ls1,
- const std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& ls2) {
- typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
- typedef typename std::map<dimension_type, FP_Linear_Form>::iterator Iter;
- typedef typename std::map<dimension_type,
- FP_Linear_Form>::const_iterator Const_Iter;
-
- Const_Iter i2_end = ls2.end();
- for (Iter i1 = ls1.begin(), i1_end = ls1.end(); i1 != i1_end; ) {
- Const_Iter i2 = ls2.find(i1->first);
- if ((i2 == i2_end) || (i1->second != i2->second))
- i1 = ls1.erase(i1);
- else
- ++i1;
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Float_templates_hh)
diff --git a/src/Float_defs.hh b/src/Float_defs.hh
new file mode 100644
index 0000000..090e70e
--- /dev/null
+++ b/src/Float_defs.hh
@@ -0,0 +1,523 @@
+/* IEC 559 floating point format related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Float_defs_hh
+#define PPL_Float_defs_hh 1
+
+#include "globals_types.hh"
+#include "meta_programming.hh"
+#include "compiler.hh"
+#include "assert.hh"
+#include "Concrete_Expression_types.hh"
+#include "Variable_types.hh"
+#include "Linear_Form_types.hh"
+#include <set>
+#include <cmath>
+#include <map>
+#include <gmp.h>
+
+#ifdef NAN
+#define PPL_NAN NAN
+#else
+#define PPL_NAN (HUGE_VAL - HUGE_VAL)
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_ieee754_half {
+ uint16_t word;
+ static const uint16_t SGN_MASK = 0x8000U;
+ static const uint16_t EXP_MASK = 0xfc00U;
+ static const uint16_t WRD_MAX = 0x7bffU;
+ static const uint16_t POS_INF = 0x7c00U;
+ static const uint16_t NEG_INF = 0xfc00U;
+ static const uint16_t POS_ZERO = 0x0000U;
+ static const uint16_t NEG_ZERO = 0x8000U;
+ static const unsigned int BASE = 2;
+ static const unsigned int EXPONENT_BITS = 5;
+ static const unsigned int MANTISSA_BITS = 10;
+ static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
+ static const int EXPONENT_BIAS = EXPONENT_MAX;
+ static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
+ static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format = IEEE754_HALF;
+ int inf_sign() const;
+ bool is_nan() const;
+ int zero_sign() const;
+ bool sign_bit() const;
+ void negate();
+ void dec();
+ void inc();
+ void set_max(bool negative);
+ void build(bool negative, mpz_t mantissa, int exponent);
+
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_ieee754_single {
+ uint32_t word;
+ static const uint32_t SGN_MASK = 0x80000000U;
+ static const uint32_t EXP_MASK = 0x7f800000U;
+ static const uint32_t WRD_MAX = 0x7f7fffffU;
+ static const uint32_t POS_INF = 0x7f800000U;
+ static const uint32_t NEG_INF = 0xff800000U;
+ static const uint32_t POS_ZERO = 0x00000000U;
+ static const uint32_t NEG_ZERO = 0x80000000U;
+ static const unsigned int BASE = 2;
+ static const unsigned int EXPONENT_BITS = 8;
+ static const unsigned int MANTISSA_BITS = 23;
+ static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
+ static const int EXPONENT_BIAS = EXPONENT_MAX;
+ static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
+ static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format = IEEE754_SINGLE;
+ int inf_sign() const;
+ bool is_nan() const;
+ int zero_sign() const;
+ bool sign_bit() const;
+ void negate();
+ void dec();
+ void inc();
+ void set_max(bool negative);
+ void build(bool negative, mpz_t mantissa, int exponent);
+};
+
+#ifdef WORDS_BIGENDIAN
+#ifndef PPL_WORDS_BIGENDIAN
+#define PPL_WORDS_BIGENDIAN
+#endif
+#endif
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_ieee754_double {
+#ifdef PPL_WORDS_BIGENDIAN
+ uint32_t msp;
+ uint32_t lsp;
+#else
+ uint32_t lsp;
+ uint32_t msp;
+#endif
+ static const uint32_t MSP_SGN_MASK = 0x80000000U;
+ static const uint32_t MSP_POS_INF = 0x7ff00000U;
+ static const uint32_t MSP_NEG_INF = 0xfff00000U;
+ static const uint32_t MSP_POS_ZERO = 0x00000000U;
+ static const uint32_t MSP_NEG_ZERO = 0x80000000U;
+ static const uint32_t LSP_INF = 0;
+ static const uint32_t LSP_ZERO = 0;
+ static const uint32_t MSP_MAX = 0x7fefffffU;
+ static const uint32_t LSP_MAX = 0xffffffffU;
+ static const unsigned int BASE = 2;
+ static const unsigned int EXPONENT_BITS = 11;
+ static const unsigned int MANTISSA_BITS = 52;
+ static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
+ static const int EXPONENT_BIAS = EXPONENT_MAX;
+ static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
+ static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format = IEEE754_DOUBLE;
+ int inf_sign() const;
+ bool is_nan() const;
+ int zero_sign() const;
+ bool sign_bit() const;
+ void negate();
+ void dec();
+ void inc();
+ void set_max(bool negative);
+ void build(bool negative, mpz_t mantissa, int exponent);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_ibm_single {
+ uint32_t word;
+ static const uint32_t SGN_MASK = 0x80000000U;
+ static const uint32_t EXP_MASK = 0x7f000000U;
+ static const uint32_t WRD_MAX = 0x7fffffffU;
+ static const uint32_t POS_INF = 0x7f000000U;
+ static const uint32_t NEG_INF = 0xff000000U;
+ static const uint32_t POS_ZERO = 0x00000000U;
+ static const uint32_t NEG_ZERO = 0x80000000U;
+ static const unsigned int BASE = 16;
+ static const unsigned int EXPONENT_BITS = 7;
+ static const unsigned int MANTISSA_BITS = 24;
+ static const int EXPONENT_BIAS = 64;
+ static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
+ static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
+ static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format = IBM_SINGLE;
+ int inf_sign() const;
+ bool is_nan() const;
+ int zero_sign() const;
+ bool sign_bit() const;
+ void negate();
+ void dec();
+ void inc();
+ void set_max(bool negative);
+ void build(bool negative, mpz_t mantissa, int exponent);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_ibm_double {
+ static const unsigned int BASE = 16;
+ static const unsigned int EXPONENT_BITS = 7;
+ static const unsigned int MANTISSA_BITS = 56;
+ static const int EXPONENT_BIAS = 64;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_intel_double_extended {
+#ifdef PPL_WORDS_BIGENDIAN
+ uint32_t msp;
+ uint64_t lsp;
+#else
+ uint64_t lsp;
+ uint32_t msp;
+#endif
+ static const uint32_t MSP_SGN_MASK = 0x00008000U;
+ static const uint32_t MSP_POS_INF = 0x00007fffU;
+ static const uint32_t MSP_NEG_INF = 0x0000ffffU;
+ static const uint32_t MSP_POS_ZERO = 0x00000000U;
+ static const uint32_t MSP_NEG_ZERO = 0x00008000U;
+ static const uint64_t LSP_INF = static_cast<uint64_t>(0x8000000000000000ULL);
+ static const uint64_t LSP_ZERO = 0;
+ static const uint32_t MSP_MAX = 0x00007ffeU;
+ static const uint64_t LSP_DMAX = static_cast<uint64_t>(0x7fffffffffffffffULL);
+ static const uint64_t LSP_NMAX = static_cast<uint64_t>(0xffffffffffffffffULL);
+ static const unsigned int BASE = 2;
+ static const unsigned int EXPONENT_BITS = 15;
+ static const unsigned int MANTISSA_BITS = 63;
+ static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
+ static const int EXPONENT_BIAS = EXPONENT_MAX;
+ static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
+ static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format =
+ INTEL_DOUBLE_EXTENDED;
+ int inf_sign() const;
+ bool is_nan() const;
+ int zero_sign() const;
+ bool sign_bit() const;
+ void negate();
+ void dec();
+ void inc();
+ void set_max(bool negative);
+ void build(bool negative, mpz_t mantissa, int exponent);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct float_ieee754_quad {
+#ifdef PPL_WORDS_BIGENDIAN
+ uint64_t msp;
+ uint64_t lsp;
+#else
+ uint64_t lsp;
+ uint64_t msp;
+#endif
+ static const uint64_t MSP_SGN_MASK = static_cast<uint64_t>(0x8000000000000000ULL);
+ static const uint64_t MSP_POS_INF = static_cast<uint64_t>(0x7fff000000000000ULL);
+ static const uint64_t MSP_NEG_INF = static_cast<uint64_t>(0xffff000000000000ULL);
+ static const uint64_t MSP_POS_ZERO = static_cast<uint64_t>(0x0000000000000000ULL);
+ static const uint64_t MSP_NEG_ZERO = static_cast<uint64_t>(0x8000000000000000ULL);
+ static const uint64_t LSP_INF = 0;
+ static const uint64_t LSP_ZERO = 0;
+ static const uint64_t MSP_MAX = static_cast<uint64_t>(0x7ffeffffffffffffULL);
+ static const uint64_t LSP_MAX = static_cast<uint64_t>(0xffffffffffffffffULL);
+ static const unsigned int BASE = 2;
+ static const unsigned int EXPONENT_BITS = 15;
+ static const unsigned int MANTISSA_BITS = 112;
+ static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
+ static const int EXPONENT_BIAS = EXPONENT_MAX;
+ static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
+ static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format = IEEE754_QUAD;
+ int inf_sign() const;
+ bool is_nan() const;
+ int zero_sign() const;
+ bool sign_bit() const;
+ void negate();
+ void dec();
+ void inc();
+ void set_max(bool negative);
+ void build(bool negative, mpz_t mantissa, int exponent);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Float : public False { };
+
+#if PPL_SUPPORTED_FLOAT
+template <>
+class Float<float> : public True {
+public:
+#if PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_HALF
+ typedef float_ieee754_half Binary;
+#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_SINGLE
+ typedef float_ieee754_single Binary;
+#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_DOUBLE
+ typedef float_ieee754_double Binary;
+#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IBM_SINGLE
+ typedef float_ibm_single Binary;
+#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_IEEE754_QUAD
+ typedef float_ieee754_quad Binary;
+#elif PPL_CXX_FLOAT_BINARY_FORMAT == PPL_FLOAT_INTEL_DOUBLE_EXTENDED
+ typedef float_intel_double_extended Binary;
+#else
+#error "Invalid value for PPL_CXX_FLOAT_BINARY_FORMAT"
+#endif
+ union {
+ float number;
+ Binary binary;
+ } u;
+ Float();
+ Float(float v);
+ float value();
+};
+#endif
+
+#if PPL_SUPPORTED_DOUBLE
+template <>
+class Float<double> : public True {
+public:
+#if PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_HALF
+ typedef float_ieee754_half Binary;
+#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_SINGLE
+ typedef float_ieee754_single Binary;
+#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_DOUBLE
+ typedef float_ieee754_double Binary;
+#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IBM_SINGLE
+ typedef float_ibm_single Binary;
+#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_QUAD
+ typedef float_ieee754_quad Binary;
+#elif PPL_CXX_DOUBLE_BINARY_FORMAT == PPL_FLOAT_INTEL_DOUBLE_EXTENDED
+ typedef float_intel_double_extended Binary;
+#else
+#error "Invalid value for PPL_CXX_DOUBLE_BINARY_FORMAT"
+#endif
+ union {
+ double number;
+ Binary binary;
+ } u;
+ Float();
+ Float(double v);
+ double value();
+};
+#endif
+
+#if PPL_SUPPORTED_LONG_DOUBLE
+template <>
+class Float<long double> : public True {
+public:
+#if PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_HALF
+ typedef float_ieee754_half Binary;
+#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_SINGLE
+ typedef float_ieee754_single Binary;
+#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_DOUBLE
+ typedef float_ieee754_double Binary;
+#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IBM_SINGLE
+ typedef float_ibm_single Binary;
+#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_IEEE754_QUAD
+ typedef float_ieee754_quad Binary;
+#elif PPL_CXX_LONG_DOUBLE_BINARY_FORMAT == PPL_FLOAT_INTEL_DOUBLE_EXTENDED
+ typedef float_intel_double_extended Binary;
+#else
+#error "Invalid value for PPL_CXX_LONG_DOUBLE_BINARY_FORMAT"
+#endif
+ union {
+ long double number;
+ Binary binary;
+ } u;
+ Float();
+ Float(long double v);
+ long double value();
+};
+#endif
+
+// FIXME: is this the right place for this function?
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ If \p v is nonzero, returns the position of the most significant bit
+ in \p a.
+
+ The behavior is undefined if \p v is zero.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+unsigned int msb_position(unsigned long long v);
+
+/*! \brief
+ An abstract class to be implemented by an external analyzer such
+ as ECLAIR in order to provide to the PPL the necessary information
+ for performing the analysis of floating point computations.
+
+ \par Template type parameters
+
+ - The class template parameter \p Target specifies the implementation
+ of Concrete_Expression to be used.
+ - The class template parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain. The interval bounds
+ should have a floating point type.
+*/
+template <typename Target, typename FP_Interval_Type>
+class FP_Oracle {
+public:
+ /*
+ FIXME: the const qualifiers on expressions may raise CLANG
+ compatibility issues. It may be necessary to omit them.
+ */
+
+ /*! \brief
+ Asks the external analyzer for an interval that correctly
+ approximates the floating point entity referenced by \p dim.
+ Result is stored into \p result.
+
+ \return <CODE>true</CODE> if the analyzer was able to find a correct
+ approximation, <CODE>false</CODE> otherwise.
+ */
+ virtual bool get_interval(dimension_type dim, FP_Interval_Type& result) const
+ = 0;
+
+ /*! \brief
+ Asks the external analyzer for an interval that correctly
+ approximates the value of floating point constant \p expr.
+ Result is stored into \p result.
+
+ \return <CODE>true</CODE> if the analyzer was able to find a correct
+ approximation, <CODE>false</CODE> otherwise.
+ */
+ virtual bool get_fp_constant_value(
+ const Floating_Point_Constant<Target>& expr,
+ FP_Interval_Type& result) const = 0;
+
+ /*! \brief
+ Asks the external analyzer for an interval that correctly approximates
+ the value of \p expr, which must be of integer type.
+ Result is stored into \p result.
+
+ \return <CODE>true</CODE> if the analyzer was able to find a correct
+ approximation, <CODE>false</CODE> otherwise.
+ */
+ virtual bool get_integer_expr_value(const Concrete_Expression<Target>& expr,
+ FP_Interval_Type& result) const = 0;
+
+ /*! \brief
+ Asks the external analyzer for the possible space dimensions that
+ are associated to the approximable reference \p expr.
+ Result is stored into \p result.
+
+ \return <CODE>true</CODE> if the analyzer was able to return
+ the (possibly empty!) set, <CODE>false</CODE> otherwise.
+
+ The resulting set MUST NOT contain <CODE>not_a_dimension()</CODE>.
+ */
+ virtual bool get_associated_dimensions(
+ const Approximable_Reference<Target>& expr,
+ std::set<dimension_type>& result) const = 0;
+
+};
+
+/* FIXME: some of the following documentation should probably be
+ under PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS */
+
+/*! \brief \relates Float
+ Returns <CODE>true</CODE> if and only if there is some floating point
+ number that is representable by \p f2 but not by \p f1.
+*/
+bool is_less_precise_than(Floating_Point_Format f1, Floating_Point_Format f2);
+
+/*! \brief \relates Float
+ Computes the absolute error of floating point computations.
+
+ \par Template type parameters
+
+ - The class template parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain. The interval bounds
+ should have a floating point type.
+
+ \param analyzed_format The floating point format used by the analyzed
+ program.
+
+ \return The interval \f$[-\omega, \omega]\f$ where \f$\omega\f$ is the
+ smallest non-zero positive number in the less precise floating point
+ format between the analyzer format and the analyzed format.
+*/
+template <typename FP_Interval_Type>
+const FP_Interval_Type&
+compute_absolute_error(Floating_Point_Format analyzed_format);
+
+/*! \brief \relates Linear_Form
+ Discards all linear forms containing variable \p var from the
+ linear form abstract store \p lf_store.
+*/
+template <typename FP_Interval_Type>
+void
+discard_occurrences(std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& lf_store,
+ Variable var);
+
+/*! \brief \relates Linear_Form
+ Assigns the linear form \p lf to \p var in the linear form abstract
+ store \p lf_store, then discards all occurrences of \p var from it.
+*/
+template <typename FP_Interval_Type>
+void
+affine_form_image(std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& lf_store,
+ Variable var,
+ const Linear_Form<FP_Interval_Type>& lf);
+
+/*! \brief \relates Linear_Form
+ Discards from \p ls1 all linear forms but those that are associated
+ to the same variable in \p ls2.
+*/
+template <typename FP_Interval_Type>
+void
+upper_bound_assign(std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& ls1,
+ const std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& ls2);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Float_inlines.hh"
+#include "Float_templates.hh"
+
+#endif // !defined(PPL_Float_defs_hh)
diff --git a/src/Float_inlines.hh b/src/Float_inlines.hh
new file mode 100644
index 0000000..3db069a
--- /dev/null
+++ b/src/Float_inlines.hh
@@ -0,0 +1,536 @@
+/* IEC 559 floating point format related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Float_inlines_hh
+#define PPL_Float_inlines_hh 1
+
+#include <climits>
+#include "Variable_defs.hh"
+#include "Linear_Form_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline int
+float_ieee754_half::inf_sign() const {
+ if (word == NEG_INF)
+ return -1;
+ if (word == POS_INF)
+ return 1;
+ return 0;
+}
+
+inline bool
+float_ieee754_half::is_nan() const {
+ return (word & ~SGN_MASK) > POS_INF;
+}
+
+inline int
+float_ieee754_half::zero_sign() const {
+ if (word == NEG_ZERO)
+ return -1;
+ if (word == POS_ZERO)
+ return 1;
+ return 0;
+}
+
+inline void
+float_ieee754_half::negate() {
+ word ^= SGN_MASK;
+}
+
+inline bool
+float_ieee754_half::sign_bit() const {
+ return (word & SGN_MASK) != 0;
+}
+
+inline void
+float_ieee754_half::dec() {
+ --word;
+}
+
+inline void
+float_ieee754_half::inc() {
+ ++word;
+}
+
+inline void
+float_ieee754_half::set_max(bool negative) {
+ word = WRD_MAX;
+ if (negative)
+ word |= SGN_MASK;
+}
+
+inline void
+float_ieee754_half::build(bool negative, mpz_t mantissa, int exponent) {
+ word = static_cast<uint16_t>(mpz_get_ui(mantissa)
+ & ((1UL << MANTISSA_BITS) - 1));
+ if (negative)
+ word |= SGN_MASK;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
+ PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
+ word |= static_cast<uint16_t>(exponent_repr) << MANTISSA_BITS;
+}
+
+inline int
+float_ieee754_single::inf_sign() const {
+ if (word == NEG_INF)
+ return -1;
+ if (word == POS_INF)
+ return 1;
+ return 0;
+}
+
+inline bool
+float_ieee754_single::is_nan() const {
+ return (word & ~SGN_MASK) > POS_INF;
+}
+
+inline int
+float_ieee754_single::zero_sign() const {
+ if (word == NEG_ZERO)
+ return -1;
+ if (word == POS_ZERO)
+ return 1;
+ return 0;
+}
+
+inline void
+float_ieee754_single::negate() {
+ word ^= SGN_MASK;
+}
+
+inline bool
+float_ieee754_single::sign_bit() const {
+ return (word & SGN_MASK) != 0;
+}
+
+inline void
+float_ieee754_single::dec() {
+ --word;
+}
+
+inline void
+float_ieee754_single::inc() {
+ ++word;
+}
+
+inline void
+float_ieee754_single::set_max(bool negative) {
+ word = WRD_MAX;
+ if (negative)
+ word |= SGN_MASK;
+}
+
+inline void
+float_ieee754_single::build(bool negative, mpz_t mantissa, int exponent) {
+ word = static_cast<uint32_t>(mpz_get_ui(mantissa)
+ & ((1UL << MANTISSA_BITS) - 1));
+ if (negative)
+ word |= SGN_MASK;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
+ PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
+ word |= static_cast<uint32_t>(exponent_repr) << MANTISSA_BITS;
+}
+
+inline int
+float_ieee754_double::inf_sign() const {
+ if (lsp != LSP_INF)
+ return 0;
+ if (msp == MSP_NEG_INF)
+ return -1;
+ if (msp == MSP_POS_INF)
+ return 1;
+ return 0;
+}
+
+inline bool
+float_ieee754_double::is_nan() const {
+ const uint32_t a = msp & ~MSP_SGN_MASK;
+ return a > MSP_POS_INF || (a == MSP_POS_INF && lsp != LSP_INF);
+}
+
+inline int
+float_ieee754_double::zero_sign() const {
+ if (lsp != LSP_ZERO)
+ return 0;
+ if (msp == MSP_NEG_ZERO)
+ return -1;
+ if (msp == MSP_POS_ZERO)
+ return 1;
+ return 0;
+}
+
+inline void
+float_ieee754_double::negate() {
+ msp ^= MSP_SGN_MASK;
+}
+
+inline bool
+float_ieee754_double::sign_bit() const {
+ return (msp & MSP_SGN_MASK) != 0;
+}
+
+inline void
+float_ieee754_double::dec() {
+ if (lsp == 0) {
+ --msp;
+ lsp = LSP_MAX;
+ }
+ else
+ --lsp;
+}
+
+inline void
+float_ieee754_double::inc() {
+ if (lsp == LSP_MAX) {
+ ++msp;
+ lsp = 0;
+ }
+ else
+ ++lsp;
+}
+
+inline void
+float_ieee754_double::set_max(bool negative) {
+ msp = MSP_MAX;
+ lsp = LSP_MAX;
+ if (negative)
+ msp |= MSP_SGN_MASK;
+}
+
+inline void
+float_ieee754_double::build(bool negative, mpz_t mantissa, int exponent) {
+ unsigned long m;
+#if ULONG_MAX == 0xffffffffUL
+ lsp = mpz_get_ui(mantissa);
+ mpz_tdiv_q_2exp(mantissa, mantissa, 32);
+ m = mpz_get_ui(mantissa);
+#else
+ m = mpz_get_ui(mantissa);
+ lsp = static_cast<uint32_t>(m & LSP_MAX);
+ m >>= 32;
+#endif
+ msp = static_cast<uint32_t>(m & ((1UL << (MANTISSA_BITS - 32)) - 1));
+ if (negative)
+ msp |= MSP_SGN_MASK;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
+ PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
+ msp |= static_cast<uint32_t>(exponent_repr) << (MANTISSA_BITS - 32);
+}
+
+inline int
+float_ibm_single::inf_sign() const {
+ if (word == NEG_INF)
+ return -1;
+ if (word == POS_INF)
+ return 1;
+ return 0;
+}
+
+inline bool
+float_ibm_single::is_nan() const {
+ return (word & ~SGN_MASK) > POS_INF;
+}
+
+inline int
+float_ibm_single::zero_sign() const {
+ if (word == NEG_ZERO)
+ return -1;
+ if (word == POS_ZERO)
+ return 1;
+ return 0;
+}
+
+inline void
+float_ibm_single::negate() {
+ word ^= SGN_MASK;
+}
+
+inline bool
+float_ibm_single::sign_bit() const {
+ return (word & SGN_MASK) != 0;
+}
+
+inline void
+float_ibm_single::dec() {
+ --word;
+}
+
+inline void
+float_ibm_single::inc() {
+ ++word;
+}
+
+inline void
+float_ibm_single::set_max(bool negative) {
+ word = WRD_MAX;
+ if (negative)
+ word |= SGN_MASK;
+}
+
+inline void
+float_ibm_single::build(bool negative, mpz_t mantissa, int exponent) {
+ word = static_cast<uint32_t>(mpz_get_ui(mantissa)
+ & ((1UL << MANTISSA_BITS) - 1));
+ if (negative)
+ word |= SGN_MASK;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
+ PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
+ word |= static_cast<uint32_t>(exponent_repr) << MANTISSA_BITS;
+}
+
+inline int
+float_intel_double_extended::inf_sign() const {
+ if (lsp != LSP_INF)
+ return 0;
+ const uint32_t a = msp & MSP_NEG_INF;
+ if (a == MSP_NEG_INF)
+ return -1;
+ if (a == MSP_POS_INF)
+ return 1;
+ return 0;
+}
+
+inline bool
+float_intel_double_extended::is_nan() const {
+ return (msp & MSP_POS_INF) == MSP_POS_INF
+ && lsp != LSP_INF;
+}
+
+inline int
+float_intel_double_extended::zero_sign() const {
+ if (lsp != LSP_ZERO)
+ return 0;
+ const uint32_t a = msp & MSP_NEG_INF;
+ if (a == MSP_NEG_ZERO)
+ return -1;
+ if (a == MSP_POS_ZERO)
+ return 1;
+ return 0;
+}
+
+inline void
+float_intel_double_extended::negate() {
+ msp ^= MSP_SGN_MASK;
+}
+
+inline bool
+float_intel_double_extended::sign_bit() const {
+ return (msp & MSP_SGN_MASK) != 0;
+}
+
+inline void
+float_intel_double_extended::dec() {
+ if ((lsp & LSP_DMAX) == 0) {
+ --msp;
+ lsp = ((msp & MSP_NEG_INF) == 0) ? LSP_DMAX : LSP_NMAX;
+ }
+ else
+ --lsp;
+}
+
+inline void
+float_intel_double_extended::inc() {
+ if ((lsp & LSP_DMAX) == LSP_DMAX) {
+ ++msp;
+ lsp = LSP_DMAX + 1;
+ }
+ else
+ ++lsp;
+}
+
+inline void
+float_intel_double_extended::set_max(bool negative) {
+ msp = MSP_MAX;
+ lsp = LSP_NMAX;
+ if (negative)
+ msp |= MSP_SGN_MASK;
+}
+
+inline void
+float_intel_double_extended::build(bool negative,
+ mpz_t mantissa, int exponent) {
+#if ULONG_MAX == 0xffffffffUL
+ mpz_export(&lsp, 0, -1, sizeof(lsp), 0, 0, mantissa);
+#else
+ lsp = mpz_get_ui(mantissa);
+#endif
+ msp = (negative ? MSP_SGN_MASK : 0);
+ const int exponent_repr = exponent + EXPONENT_BIAS;
+ PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
+ msp |= static_cast<uint32_t>(exponent_repr);
+}
+
+inline int
+float_ieee754_quad::inf_sign() const {
+ if (lsp != LSP_INF)
+ return 0;
+ if (msp == MSP_NEG_INF)
+ return -1;
+ if (msp == MSP_POS_INF)
+ return 1;
+ return 0;
+}
+
+inline bool
+float_ieee754_quad::is_nan() const {
+ return (msp & ~MSP_SGN_MASK) == MSP_POS_INF
+ && lsp != LSP_INF;
+}
+
+inline int
+float_ieee754_quad::zero_sign() const {
+ if (lsp != LSP_ZERO)
+ return 0;
+ if (msp == MSP_NEG_ZERO)
+ return -1;
+ if (msp == MSP_POS_ZERO)
+ return 1;
+ return 0;
+}
+
+inline void
+float_ieee754_quad::negate() {
+ msp ^= MSP_SGN_MASK;
+}
+
+inline bool
+float_ieee754_quad::sign_bit() const {
+ return (msp & MSP_SGN_MASK) != 0;
+}
+
+inline void
+float_ieee754_quad::dec() {
+ if (lsp == 0) {
+ --msp;
+ lsp = LSP_MAX;
+ }
+ else
+ --lsp;
+}
+
+inline void
+float_ieee754_quad::inc() {
+ if (lsp == LSP_MAX) {
+ ++msp;
+ lsp = 0;
+ }
+ else
+ ++lsp;
+}
+
+inline void
+float_ieee754_quad::set_max(bool negative) {
+ msp = MSP_MAX;
+ lsp = LSP_MAX;
+ if (negative)
+ msp |= MSP_SGN_MASK;
+}
+
+inline void
+float_ieee754_quad::build(bool negative, mpz_t mantissa, int exponent) {
+ uint64_t parts[2];
+ mpz_export(parts, 0, -1, sizeof(parts[0]), 0, 0, mantissa);
+ lsp = parts[0];
+ msp = parts[1];
+ msp &= ((static_cast<uint64_t>(1) << (MANTISSA_BITS - 64)) - 1);
+ if (negative)
+ msp |= MSP_SGN_MASK;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
+ PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
+ msp |= static_cast<uint64_t>(exponent_repr) << (MANTISSA_BITS - 64);
+}
+
+inline bool
+is_less_precise_than(Floating_Point_Format f1, Floating_Point_Format f2) {
+ return f1 < f2;
+}
+
+inline unsigned int
+msb_position(unsigned long long v) {
+ return static_cast<unsigned int>(sizeof_to_bits(sizeof(v))) - 1U - clz(v);
+}
+
+template <typename FP_Interval_Type>
+inline void
+affine_form_image(std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& lf_store,
+ const Variable var,
+ const Linear_Form<FP_Interval_Type>& lf) {
+ // Assign the new linear form for var.
+ lf_store[var.id()] = lf;
+ // Now invalidate all linear forms in which var occurs.
+ discard_occurrences(lf_store, var);
+}
+
+#if PPL_SUPPORTED_FLOAT
+inline
+Float<float>::Float() {
+}
+
+inline
+Float<float>::Float(float v) {
+ u.number = v;
+}
+
+inline float
+Float<float>::value() {
+ return u.number;
+}
+#endif
+
+#if PPL_SUPPORTED_DOUBLE
+inline
+Float<double>::Float() {
+}
+
+inline
+Float<double>::Float(double v) {
+ u.number = v;
+}
+
+inline double
+Float<double>::value() {
+ return u.number;
+}
+#endif
+
+#if PPL_SUPPORTED_LONG_DOUBLE
+inline
+Float<long double>::Float() {
+}
+
+inline
+Float<long double>::Float(long double v) {
+ u.number = v;
+}
+
+inline long double
+Float<long double>::value() {
+ return u.number;
+}
+#endif
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Float_inlines_hh)
diff --git a/src/Float_templates.hh b/src/Float_templates.hh
new file mode 100644
index 0000000..19663bf
--- /dev/null
+++ b/src/Float_templates.hh
@@ -0,0 +1,167 @@
+/* IEC 559 floating point format related functions:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Float_templates_hh
+#define PPL_Float_templates_hh 1
+
+#include "Variable_defs.hh"
+#include "Linear_Form_defs.hh"
+#include <cmath>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type>
+const FP_Interval_Type& compute_absolute_error(
+ const Floating_Point_Format analyzed_format) {
+ typedef typename FP_Interval_Type::boundary_type analyzer_format;
+
+ // FIXME: check if initializing caches with EMPTY is better.
+ static const FP_Interval_Type ZERO_INTERVAL = FP_Interval_Type(0);
+ // Cached results for each different analyzed format.
+ static FP_Interval_Type ieee754_half_result = ZERO_INTERVAL;
+ static FP_Interval_Type ieee754_single_result = ZERO_INTERVAL;
+ static FP_Interval_Type ieee754_double_result = ZERO_INTERVAL;
+ static FP_Interval_Type ibm_single_result = ZERO_INTERVAL;
+ static FP_Interval_Type ieee754_quad_result = ZERO_INTERVAL;
+ static FP_Interval_Type intel_double_extended_result = ZERO_INTERVAL;
+
+ FP_Interval_Type* to_compute = NULL;
+ // Get the necessary information on the analyzed's format.
+ unsigned int f_base;
+ int f_exponent_bias;
+ unsigned int f_mantissa_bits;
+ switch (analyzed_format) {
+ case IEEE754_HALF:
+ if (ieee754_half_result != ZERO_INTERVAL)
+ return ieee754_half_result;
+
+ to_compute = &ieee754_half_result;
+ f_base = float_ieee754_half::BASE;
+ f_exponent_bias = float_ieee754_half::EXPONENT_BIAS;
+ f_mantissa_bits = float_ieee754_half::MANTISSA_BITS;
+ break;
+ case IEEE754_SINGLE:
+ if (ieee754_single_result != ZERO_INTERVAL)
+ return ieee754_single_result;
+
+ to_compute = &ieee754_single_result;
+ f_base = float_ieee754_single::BASE;
+ f_exponent_bias = float_ieee754_single::EXPONENT_BIAS;
+ f_mantissa_bits = float_ieee754_single::MANTISSA_BITS;
+ break;
+ case IEEE754_DOUBLE:
+ if (ieee754_double_result != ZERO_INTERVAL)
+ return ieee754_double_result;
+
+ to_compute = &ieee754_double_result;
+ f_base = float_ieee754_double::BASE;
+ f_exponent_bias = float_ieee754_double::EXPONENT_BIAS;
+ f_mantissa_bits = float_ieee754_double::MANTISSA_BITS;
+ break;
+ case IBM_SINGLE:
+ if (ibm_single_result != ZERO_INTERVAL)
+ return ibm_single_result;
+
+ to_compute = &ibm_single_result;
+ f_base = float_ibm_single::BASE;
+ f_exponent_bias = float_ibm_single::EXPONENT_BIAS;
+ f_mantissa_bits = float_ibm_single::MANTISSA_BITS;
+ break;
+ case IEEE754_QUAD:
+ if (ieee754_quad_result != ZERO_INTERVAL)
+ return ieee754_quad_result;
+
+ to_compute = &ieee754_quad_result;
+ f_base = float_ieee754_quad::BASE;
+ f_exponent_bias = float_ieee754_quad::EXPONENT_BIAS;
+ f_mantissa_bits = float_ieee754_quad::MANTISSA_BITS;
+ break;
+ case INTEL_DOUBLE_EXTENDED:
+ if (intel_double_extended_result != ZERO_INTERVAL)
+ return intel_double_extended_result;
+
+ to_compute = &intel_double_extended_result;
+ f_base = float_intel_double_extended::BASE;
+ f_exponent_bias = float_intel_double_extended::EXPONENT_BIAS;
+ f_mantissa_bits = float_intel_double_extended::MANTISSA_BITS;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ PPL_ASSERT(to_compute != NULL);
+
+ // We assume that f_base is a power of 2.
+ analyzer_format omega;
+ int power = static_cast<int>(msb_position(f_base))
+ * ((1 - f_exponent_bias) - static_cast<int>(f_mantissa_bits));
+ omega = std::max(static_cast<analyzer_format>(ldexp(1.0, power)),
+ std::numeric_limits<analyzer_format>::denorm_min());
+
+ to_compute->build(i_constraint(GREATER_OR_EQUAL, -omega),
+ i_constraint(LESS_OR_EQUAL, omega));
+ return *to_compute;
+}
+
+template <typename FP_Interval_Type>
+void
+discard_occurrences(std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& lf_store,
+ Variable var) {
+ typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
+ typedef typename std::map<dimension_type, FP_Linear_Form>::iterator Iter;
+ for (Iter i = lf_store.begin(); i != lf_store.end(); ) {
+ if((i->second).coefficient(var) != 0)
+ i = lf_store.erase(i);
+ else
+ ++i;
+ }
+}
+
+/* FIXME: improve efficiency by adding the list of potentially conflicting
+ variables as an argument. */
+template <typename FP_Interval_Type>
+void upper_bound_assign(std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& ls1,
+ const std::map<dimension_type,
+ Linear_Form<FP_Interval_Type> >& ls2) {
+ typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
+ typedef typename std::map<dimension_type, FP_Linear_Form>::iterator Iter;
+ typedef typename std::map<dimension_type,
+ FP_Linear_Form>::const_iterator Const_Iter;
+
+ Const_Iter i2_end = ls2.end();
+ for (Iter i1 = ls1.begin(), i1_end = ls1.end(); i1 != i1_end; ) {
+ Const_Iter i2 = ls2.find(i1->first);
+ if ((i2 == i2_end) || (i1->second != i2->second))
+ i1 = ls1.erase(i1);
+ else
+ ++i1;
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Float_templates_hh)
diff --git a/src/Floating_Point_Expression.defs.hh b/src/Floating_Point_Expression.defs.hh
deleted file mode 100644
index 1ed58c5..0000000
--- a/src/Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,213 +0,0 @@
-/* Declarations for the Floating_Point_Expression class and its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Floating_Point_Expression_defs_hh
-#define PPL_Floating_Point_Expression_defs_hh 1
-
-#include "globals.defs.hh"
-#include "Floating_Point_Expression.types.hh"
-#include "Linear_Form.types.hh"
-#include "Box.types.hh"
-#include <cmath>
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-/*! \brief
- \ingroup PPL_CXX_Interface
- A floating point expression on a given format.
-
- This class represents a concrete <EM>floating point expression</EM>. This
- includes constants, floating point variables, binary and unary
- arithmetic operators.
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain. The interval bounds
- should have a floating point type.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
- This parameter must be a struct similar to the ones defined in file
- Float.defs.hh, even though it is sufficient to define the three
- fields BASE, MANTISSA_BITS and EXPONENT_BIAS.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Floating_Point_Expression {
-
-public:
-
- //! Alias for a linear form with template argument \p FP_Interval_Type.
- typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
-
- //! Alias for a map that associates a variable index to an interval.
- /*! \brief
- Alias for a Box storing lower and upper bounds for floating point
- variables.
-
- The type a linear form abstract store associating each variable with an
- interval that correctly approximates its value.
- */
- typedef Box<FP_Interval_Type> FP_Interval_Abstract_Store;
-
- //! Alias for a map that associates a variable index to a linear form.
- /*!
- The type a linear form abstract store associating each variable with a
- linear form that correctly approximates its value.
- */
- typedef std::map<dimension_type, FP_Linear_Form>
- FP_Linear_Form_Abstract_Store;
-
- //! The floating point format used by the analyzer.
- typedef typename FP_Interval_Type::boundary_type boundary_type;
-
- //! The interval policy used by \p FP_Interval_Type.
- typedef typename FP_Interval_Type::info_type info_type;
-
- //! Destructor.
- virtual ~Floating_Point_Expression();
-
- //! Linearizes a floating point expression.
- /*! \brief
- Makes \p result become a linear form that correctly approximates the
- value of the floating point expression in the given composite
- abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result Becomes the linearized expression.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Formally, if \p *this represents the expression \f$e\f$,
- \p int_store represents the interval abstract store \f$\rho^{\#}\f$ and
- \p lf_store represents the linear form abstract store \f$\rho^{\#}_l\f$,
- then \p result will become
- \f$\linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}\f$
- if the linearization succeeds.
-
- All variables occurring in the floating point expression MUST have
- an associated interval in \p int_store.
- If this precondition is not met, calling the method causes an
- undefined behavior.
- */
- virtual bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const = 0;
-
- /*! \brief
- Absolute error.
-
- Represents the interval \f$[-\omega, \omega]\f$ where \f$\omega\f$ is the
- smallest non-zero positive number in the less precise floating point
- format between the analyzer format and the analyzed format.
-
- */
- static FP_Interval_Type absolute_error;
-
- // FIXME: this may not be the best place for them.
- /*! \brief
- Verifies if a given linear form overflows.
- \param lf The linear form to verify.
- \return
- Returns <CODE>false</CODE> if all coefficients in \p lf are bounded,
- <CODE>true</CODE> otherwise.
- */
- static bool overflows(const FP_Linear_Form& lf);
-
- /*! \brief
- Computes the relative error of a given linear form.
-
- Static helper method that is used by <CODE>linearize</CODE>
- to account for the relative errors on \p lf.
- \param lf The linear form used to compute the relative error.
- \param result Becomes the linear form corresponding to a relative
- error committed on \p lf.
-
- This method makes <CODE>result</CODE> become a linear form
- obtained by evaluating the function \f$\varepsilon_{\mathbf{f}}(l)\f$
- on the linear form \p lf. This function is defined
- such as:
- \f[
- \varepsilon_{\mathbf{f}}\left([a, b]+\sum_{v \in \cV}[a_{v}, b_{v}]v\right)
- \defeq
- (\textrm{max}(|a|, |b|) \amifp [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])
- +
- \sum_{v \in \cV}(\textrm{max}(|a_{v}|,|b_{v}|)
- \amifp
- [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])v
- \f]
- where p is the fraction size in bits for the format \f$\mathbf{f}\f$ and
- \f$\beta\f$ the base.
- */
- static void relative_error(const FP_Linear_Form& lf,
- FP_Linear_Form& result);
-
- /*! \brief
- Makes \p result become an interval that overapproximates all the
- possible values of \p lf in the interval abstract store \p store.
-
- \param lf The linear form to aproximate.
- \param store The abstract store.
- \param result The linear form that will be modified.
-
- This method makes <CODE>result</CODE> become
- \f$\iota(lf)\rho^{\#}\f$, that is an interval defined as:
- \f[
- \iota\left(i + \sum_{v \in \cV}i_{v}v\right)\rho^{\#}
- \defeq
- i \asifp \left(\bigoplus_{v \in \cV}{}^{\#}i_{v} \amifp
- \rho^{\#}(v)\right)
- \f]
- */
- static void intervalize(const FP_Linear_Form& lf,
- const FP_Interval_Abstract_Store& store,
- FP_Interval_Type& result);
-
-private:
-
- /*! \brief
- Computes the absolute error.
-
- Static helper method that is used to compute the value of the public
- static field <CODE>absolute_error</CODE>.
-
- \return The interval \f$[-\omega, \omega]\f$ corresponding to the value
- of <CODE>absolute_error</CODE>
- */
- static FP_Interval_Type compute_absolute_error();
-
-}; // class Floating_Point_Expression
-
-
-template <typename FP_Interval_Type, typename FP_Format>
-FP_Interval_Type Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::absolute_error = compute_absolute_error();
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Floating_Point_Expression.inlines.hh"
-#include "Floating_Point_Expression.templates.hh"
-
-#endif // !defined(PPL_Floating_Point_Expression_defs_hh)
diff --git a/src/Floating_Point_Expression.inlines.hh b/src/Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 6a24cf8..0000000
--- a/src/Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,55 +0,0 @@
-/* Floating_Point_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Floating_Point_Expression_inlines_hh
-#define PPL_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-#include "Linear_Form.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::~Floating_Point_Expression() {}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline bool
-Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::overflows(const FP_Linear_Form& lf) {
- if (!lf.inhomogeneous_term().is_bounded())
- return true;
-
- dimension_type dimension = lf.space_dimension();
- for (dimension_type i = 0; i < dimension; ++i) {
- if (!lf.coefficient(Variable(i)).is_bounded())
- return true;
- }
-
- return false;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Floating_Point_Expression_inlines_hh)
diff --git a/src/Floating_Point_Expression.templates.hh b/src/Floating_Point_Expression.templates.hh
deleted file mode 100644
index 38f05ab..0000000
--- a/src/Floating_Point_Expression.templates.hh
+++ /dev/null
@@ -1,111 +0,0 @@
-/* Floating_Point_Expression class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Floating_Point_Expression_templates_hh
-#define PPL_Floating_Point_Expression_templates_hh 1
-
-#include "Linear_Form.defs.hh"
-#include <cmath>
-
-namespace Parma_Polyhedra_Library {
-
-template<typename FP_Interval_Type, typename FP_Format>
-void
-Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::relative_error(const FP_Linear_Form& lf, FP_Linear_Form& result) {
-
- FP_Interval_Type error_propagator;
- boundary_type lb = -pow(FP_Format::BASE,
- -static_cast<typename Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::boundary_type>(FP_Format::MANTISSA_BITS));
- error_propagator.build(i_constraint(GREATER_OR_EQUAL, lb),
- i_constraint(LESS_OR_EQUAL, -lb));
-
- // Handle the inhomogeneous term.
- const FP_Interval_Type* current_term = &lf.inhomogeneous_term();
- assert(current_term->is_bounded());
-
- FP_Interval_Type
- current_multiplier(std::max(std::abs(current_term->lower()),
- std::abs(current_term->upper())));
- FP_Linear_Form current_result_term(current_multiplier);
- current_result_term *= error_propagator;
- result = FP_Linear_Form(current_result_term);
-
- // Handle the other terms.
- dimension_type dimension = lf.space_dimension();
- for (dimension_type i = 0; i < dimension; ++i) {
- current_term = &lf.coefficient(Variable(i));
- assert(current_term->is_bounded());
- current_multiplier
- = FP_Interval_Type(std::max(std::abs(current_term->lower()),
- std::abs(current_term->upper())));
- current_result_term = FP_Linear_Form(Variable(i));
- current_result_term *= current_multiplier;
- current_result_term *= error_propagator;
- result += current_result_term;
- }
-
- return;
-}
-
-template<typename FP_Interval_Type, typename FP_Format>
-void
-Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::intervalize(const FP_Linear_Form& lf,
- const FP_Interval_Abstract_Store& store,
- FP_Interval_Type& result) {
- result = FP_Interval_Type(lf.inhomogeneous_term());
- dimension_type dimension = lf.space_dimension();
- assert(dimension <= store.space_dimension());
- for (dimension_type i = 0; i < dimension; ++i) {
- FP_Interval_Type current_addend = lf.coefficient(Variable(i));
- const FP_Interval_Type& curr_int = store.get_interval(Variable(i));
- current_addend *= curr_int;
- result += current_addend;
- }
-
- return;
-}
-
-template<typename FP_Interval_Type, typename FP_Format>
-FP_Interval_Type
-Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::compute_absolute_error() {
- typedef typename Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::boundary_type Boundary;
- boundary_type omega;
- omega = std::max(pow(static_cast<Boundary>(FP_Format::BASE),
- static_cast<Boundary>(1 - FP_Format::EXPONENT_BIAS
- - FP_Format::MANTISSA_BITS)),
- std::numeric_limits<Boundary>::denorm_min());
- FP_Interval_Type result;
- result.build(i_constraint(GREATER_OR_EQUAL, -omega),
- i_constraint(LESS_OR_EQUAL, omega));
- return result;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Floating_Point_Expression_templates_hh)
diff --git a/src/Floating_Point_Expression.types.hh b/src/Floating_Point_Expression.types.hh
deleted file mode 100644
index 3ae6855..0000000
--- a/src/Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Floating_Point_Expression_types_hh
-#define PPL_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Floating_Point_Expression_types_hh)
diff --git a/src/Floating_Point_Expression_defs.hh b/src/Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..57231bf
--- /dev/null
+++ b/src/Floating_Point_Expression_defs.hh
@@ -0,0 +1,212 @@
+/* Declarations for the Floating_Point_Expression class and its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Floating_Point_Expression_defs_hh
+#define PPL_Floating_Point_Expression_defs_hh 1
+
+#include "globals_defs.hh"
+#include "Floating_Point_Expression_types.hh"
+#include "Linear_Form_types.hh"
+#include "Box_types.hh"
+#include <cmath>
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+/*! \ingroup PPL_CXX_Interface \brief
+ A floating point expression on a given format.
+
+ This class represents a concrete <EM>floating point expression</EM>. This
+ includes constants, floating point variables, binary and unary
+ arithmetic operators.
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain. The interval bounds
+ should have a floating point type.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+ This parameter must be a struct similar to the ones defined in file
+ Float_defs.hh, even though it is sufficient to define the three
+ fields BASE, MANTISSA_BITS and EXPONENT_BIAS.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Floating_Point_Expression {
+
+public:
+
+ //! Alias for a linear form with template argument \p FP_Interval_Type.
+ typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
+
+ //! Alias for a map that associates a variable index to an interval.
+ /*! \brief
+ Alias for a Box storing lower and upper bounds for floating point
+ variables.
+
+ The type a linear form abstract store associating each variable with an
+ interval that correctly approximates its value.
+ */
+ typedef Box<FP_Interval_Type> FP_Interval_Abstract_Store;
+
+ //! Alias for a map that associates a variable index to a linear form.
+ /*!
+ The type a linear form abstract store associating each variable with a
+ linear form that correctly approximates its value.
+ */
+ typedef std::map<dimension_type, FP_Linear_Form>
+ FP_Linear_Form_Abstract_Store;
+
+ //! The floating point format used by the analyzer.
+ typedef typename FP_Interval_Type::boundary_type boundary_type;
+
+ //! The interval policy used by \p FP_Interval_Type.
+ typedef typename FP_Interval_Type::info_type info_type;
+
+ //! Destructor.
+ virtual ~Floating_Point_Expression();
+
+ //! Linearizes a floating point expression.
+ /*! \brief
+ Makes \p result become a linear form that correctly approximates the
+ value of the floating point expression in the given composite
+ abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result Becomes the linearized expression.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Formally, if \p *this represents the expression \f$e\f$,
+ \p int_store represents the interval abstract store \f$\rho^{\#}\f$ and
+ \p lf_store represents the linear form abstract store \f$\rho^{\#}_l\f$,
+ then \p result will become
+ \f$\linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}\f$
+ if the linearization succeeds.
+
+ All variables occurring in the floating point expression MUST have
+ an associated interval in \p int_store.
+ If this precondition is not met, calling the method causes an
+ undefined behavior.
+ */
+ virtual bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const = 0;
+
+ /*! \brief
+ Absolute error.
+
+ Represents the interval \f$[-\omega, \omega]\f$ where \f$\omega\f$ is the
+ smallest non-zero positive number in the less precise floating point
+ format between the analyzer format and the analyzed format.
+
+ */
+ static FP_Interval_Type absolute_error;
+
+ // FIXME: this may not be the best place for them.
+ /*! \brief
+ Verifies if a given linear form overflows.
+ \param lf The linear form to verify.
+ \return
+ Returns <CODE>false</CODE> if all coefficients in \p lf are bounded,
+ <CODE>true</CODE> otherwise.
+ */
+ static bool overflows(const FP_Linear_Form& lf);
+
+ /*! \brief
+ Computes the relative error of a given linear form.
+
+ Static helper method that is used by <CODE>linearize</CODE>
+ to account for the relative errors on \p lf.
+ \param lf The linear form used to compute the relative error.
+ \param result Becomes the linear form corresponding to a relative
+ error committed on \p lf.
+
+ This method makes <CODE>result</CODE> become a linear form
+ obtained by evaluating the function \f$\varepsilon_{\mathbf{f}}(l)\f$
+ on the linear form \p lf. This function is defined
+ such as:
+ \f[
+ \varepsilon_{\mathbf{f}}\left([a, b]+\sum_{v \in \cV}[a_{v}, b_{v}]v\right)
+ \defeq
+ (\textrm{max}(|a|, |b|) \amifp [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])
+ +
+ \sum_{v \in \cV}(\textrm{max}(|a_{v}|,|b_{v}|)
+ \amifp
+ [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])v
+ \f]
+ where p is the fraction size in bits for the format \f$\mathbf{f}\f$ and
+ \f$\beta\f$ the base.
+ */
+ static void relative_error(const FP_Linear_Form& lf,
+ FP_Linear_Form& result);
+
+ /*! \brief
+ Makes \p result become an interval that overapproximates all the
+ possible values of \p lf in the interval abstract store \p store.
+
+ \param lf The linear form to aproximate.
+ \param store The abstract store.
+ \param result The linear form that will be modified.
+
+ This method makes <CODE>result</CODE> become
+ \f$\iota(lf)\rho^{\#}\f$, that is an interval defined as:
+ \f[
+ \iota\left(i + \sum_{v \in \cV}i_{v}v\right)\rho^{\#}
+ \defeq
+ i \asifp \left(\bigoplus_{v \in \cV}{}^{\#}i_{v} \amifp
+ \rho^{\#}(v)\right)
+ \f]
+ */
+ static void intervalize(const FP_Linear_Form& lf,
+ const FP_Interval_Abstract_Store& store,
+ FP_Interval_Type& result);
+
+private:
+
+ /*! \brief
+ Computes the absolute error.
+
+ Static helper method that is used to compute the value of the public
+ static field <CODE>absolute_error</CODE>.
+
+ \return The interval \f$[-\omega, \omega]\f$ corresponding to the value
+ of <CODE>absolute_error</CODE>
+ */
+ static FP_Interval_Type compute_absolute_error();
+
+}; // class Floating_Point_Expression
+
+
+template <typename FP_Interval_Type, typename FP_Format>
+FP_Interval_Type Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::absolute_error = compute_absolute_error();
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Floating_Point_Expression_inlines.hh"
+#include "Floating_Point_Expression_templates.hh"
+
+#endif // !defined(PPL_Floating_Point_Expression_defs_hh)
diff --git a/src/Floating_Point_Expression_inlines.hh b/src/Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..644f839
--- /dev/null
+++ b/src/Floating_Point_Expression_inlines.hh
@@ -0,0 +1,55 @@
+/* Floating_Point_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Floating_Point_Expression_inlines_hh
+#define PPL_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+#include "Linear_Form_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::~Floating_Point_Expression() {}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline bool
+Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::overflows(const FP_Linear_Form& lf) {
+ if (!lf.inhomogeneous_term().is_bounded())
+ return true;
+
+ dimension_type dimension = lf.space_dimension();
+ for (dimension_type i = 0; i < dimension; ++i) {
+ if (!lf.coefficient(Variable(i)).is_bounded())
+ return true;
+ }
+
+ return false;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Floating_Point_Expression_inlines_hh)
diff --git a/src/Floating_Point_Expression_templates.hh b/src/Floating_Point_Expression_templates.hh
new file mode 100644
index 0000000..b10e685
--- /dev/null
+++ b/src/Floating_Point_Expression_templates.hh
@@ -0,0 +1,111 @@
+/* Floating_Point_Expression class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Floating_Point_Expression_templates_hh
+#define PPL_Floating_Point_Expression_templates_hh 1
+
+#include "Linear_Form_defs.hh"
+#include <cmath>
+
+namespace Parma_Polyhedra_Library {
+
+template<typename FP_Interval_Type, typename FP_Format>
+void
+Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::relative_error(const FP_Linear_Form& lf, FP_Linear_Form& result) {
+
+ FP_Interval_Type error_propagator;
+ boundary_type lb = -pow(FP_Format::BASE,
+ -static_cast<typename Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::boundary_type>(FP_Format::MANTISSA_BITS));
+ error_propagator.build(i_constraint(GREATER_OR_EQUAL, lb),
+ i_constraint(LESS_OR_EQUAL, -lb));
+
+ // Handle the inhomogeneous term.
+ const FP_Interval_Type* current_term = &lf.inhomogeneous_term();
+ assert(current_term->is_bounded());
+
+ FP_Interval_Type
+ current_multiplier(std::max(std::abs(current_term->lower()),
+ std::abs(current_term->upper())));
+ FP_Linear_Form current_result_term(current_multiplier);
+ current_result_term *= error_propagator;
+ result = FP_Linear_Form(current_result_term);
+
+ // Handle the other terms.
+ dimension_type dimension = lf.space_dimension();
+ for (dimension_type i = 0; i < dimension; ++i) {
+ current_term = &lf.coefficient(Variable(i));
+ assert(current_term->is_bounded());
+ current_multiplier
+ = FP_Interval_Type(std::max(std::abs(current_term->lower()),
+ std::abs(current_term->upper())));
+ current_result_term = FP_Linear_Form(Variable(i));
+ current_result_term *= current_multiplier;
+ current_result_term *= error_propagator;
+ result += current_result_term;
+ }
+
+ return;
+}
+
+template<typename FP_Interval_Type, typename FP_Format>
+void
+Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::intervalize(const FP_Linear_Form& lf,
+ const FP_Interval_Abstract_Store& store,
+ FP_Interval_Type& result) {
+ result = FP_Interval_Type(lf.inhomogeneous_term());
+ dimension_type dimension = lf.space_dimension();
+ assert(dimension <= store.space_dimension());
+ for (dimension_type i = 0; i < dimension; ++i) {
+ FP_Interval_Type current_addend = lf.coefficient(Variable(i));
+ const FP_Interval_Type& curr_int = store.get_interval(Variable(i));
+ current_addend *= curr_int;
+ result += current_addend;
+ }
+
+ return;
+}
+
+template<typename FP_Interval_Type, typename FP_Format>
+FP_Interval_Type
+Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::compute_absolute_error() {
+ typedef typename Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::boundary_type Boundary;
+ boundary_type omega;
+ omega = std::max(pow(static_cast<Boundary>(FP_Format::BASE),
+ static_cast<Boundary>(1 - FP_Format::EXPONENT_BIAS
+ - FP_Format::MANTISSA_BITS)),
+ std::numeric_limits<Boundary>::denorm_min());
+ FP_Interval_Type result;
+ result.build(i_constraint(GREATER_OR_EQUAL, -omega),
+ i_constraint(LESS_OR_EQUAL, omega));
+ return result;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Floating_Point_Expression_templates_hh)
diff --git a/src/Floating_Point_Expression_types.hh b/src/Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..27cca82
--- /dev/null
+++ b/src/Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Floating_Point_Expression_types_hh
+#define PPL_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Floating_Point_Expression_types_hh)
diff --git a/src/GMP_Integer.defs.hh b/src/GMP_Integer.defs.hh
deleted file mode 100644
index a80ea6f..0000000
--- a/src/GMP_Integer.defs.hh
+++ /dev/null
@@ -1,134 +0,0 @@
-/* GMP_Integer class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_GMP_Integer_defs_hh
-#define PPL_GMP_Integer_defs_hh 1
-
-#include "GMP_Integer.types.hh"
-#include "globals.types.hh"
-#include <cstddef>
-
-namespace Parma_Polyhedra_Library {
-
-//! \name Accessor Functions
-//@{
-
-//! Returns a const reference to the underlying integer value.
-/*! \relates GMP_Integer */
-const mpz_class& raw_value(const GMP_Integer& x);
-
-//! Returns a reference to the underlying integer value.
-/*! \relates GMP_Integer */
-mpz_class& raw_value(GMP_Integer& x);
-
-//@} // Accessor Functions
-
-//! \name Arithmetic Operators
-//@{
-
-//! Assigns to \p x its negation.
-/*! \relates GMP_Integer */
-void neg_assign(GMP_Integer& x);
-
-//! Assigns to \p x the negation of \p y.
-/*! \relates GMP_Integer */
-void neg_assign(GMP_Integer& x, const GMP_Integer& y);
-
-//! Assigns to \p x its absolute value.
-/*! \relates GMP_Integer */
-void abs_assign(GMP_Integer& x);
-
-//! Assigns to \p x the absolute value of \p y.
-/*! \relates GMP_Integer */
-void abs_assign(GMP_Integer& x, const GMP_Integer& y);
-
-//! Assigns to \p x the remainder of the division of \p y by \p z.
-/*! \relates GMP_Integer */
-void rem_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Assigns to \p x the greatest common divisor of \p y and \p z.
-/*! \relates GMP_Integer */
-void gcd_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Extended GCD.
-/*! \relates GMP_Integer
- Assigns to \p x the greatest common divisor of \p y and \p z, and to
- \p s and \p t the values such that \p y * \p s + \p z * \p t = \p x.
-*/
-void gcdext_assign(GMP_Integer& x, GMP_Integer& s, GMP_Integer& t,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Assigns to \p x the least common multiple of \p y and \p z.
-/*! \relates GMP_Integer */
-void lcm_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Assigns to \p x the value <CODE>x + y * z</CODE>.
-/*! \relates GMP_Integer */
-void add_mul_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Assigns to \p x the value <CODE>x - y * z</CODE>.
-/*! \relates GMP_Integer */
-void sub_mul_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Assigns to \p x the value \f$ y \cdot 2^\mathtt{exp} \f$.
-/*! \relates GMP_Integer */
-void mul_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp);
-
-//! Assigns to \p x the value \f$ y / 2^\mathtt{exp} \f$.
-/*! \relates GMP_Integer */
-void div_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp);
-
-/*! \brief
- If \p z divides \p y, assigns to \p x the quotient of the integer
- division of \p y and \p z.
-
- \relates GMP_Integer
- The behavior is undefined if \p z does not divide \p y.
-*/
-void exact_div_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
-
-//! Assigns to \p x the integer square root of \p y.
-/*! \relates GMP_Integer */
-void sqrt_assign(GMP_Integer& x, const GMP_Integer& y);
-
-/*! \brief
- Returns a negative, zero or positive value depending on whether
- \p x is lower than, equal to or greater than \p y, respectively.
-
- \relates GMP_Integer
-*/
-int cmp(const GMP_Integer& x, const GMP_Integer& y);
-
-//@} // Arithmetic Operators
-
-} // namespace Parma_Polyhedra_Library
-
-#include "GMP_Integer.inlines.hh"
-
-#endif // !defined(PPL_GMP_Integer_defs_hh)
diff --git a/src/GMP_Integer.inlines.hh b/src/GMP_Integer.inlines.hh
deleted file mode 100644
index 64a00ad..0000000
--- a/src/GMP_Integer.inlines.hh
+++ /dev/null
@@ -1,122 +0,0 @@
-/* GMP_Integer class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_GMP_Integer_inlines_hh
-#define PPL_GMP_Integer_inlines_hh 1
-
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-neg_assign(GMP_Integer& x) {
- mpz_neg(x.get_mpz_t(), x.get_mpz_t());
-}
-
-inline void
-neg_assign(GMP_Integer& x, const GMP_Integer& y) {
- mpz_neg(x.get_mpz_t(), y.get_mpz_t());
-}
-
-inline void
-abs_assign(GMP_Integer& x) {
- mpz_abs(x.get_mpz_t(), x.get_mpz_t());
-}
-
-inline void
-abs_assign(GMP_Integer& x, const GMP_Integer& y) {
- mpz_abs(x.get_mpz_t(), y.get_mpz_t());
-}
-
-inline void
-gcd_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
- mpz_gcd(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-rem_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
- mpz_tdiv_r(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-gcdext_assign(GMP_Integer& x, GMP_Integer& s, GMP_Integer& t,
- const GMP_Integer& y, const GMP_Integer& z) {
- mpz_gcdext(x.get_mpz_t(),
- s.get_mpz_t(), t.get_mpz_t(),
- y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-lcm_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
- mpz_lcm(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-add_mul_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
- mpz_addmul(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-sub_mul_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
- mpz_submul(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-mul_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp) {
- mpz_mul_2exp(x.get_mpz_t(), y.get_mpz_t(), exp);
-}
-
-inline void
-div_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp) {
- mpz_tdiv_q_2exp(x.get_mpz_t(), y.get_mpz_t(), exp);
-}
-
-inline void
-exact_div_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
- PPL_ASSERT(y % z == 0);
- mpz_divexact(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
-}
-
-inline void
-sqrt_assign(GMP_Integer& x, const GMP_Integer& y) {
- mpz_sqrt(x.get_mpz_t(), y.get_mpz_t());
-}
-
-inline int
-cmp(const GMP_Integer& x, const GMP_Integer& y) {
- return mpz_cmp(x.get_mpz_t(), y.get_mpz_t());
-}
-
-inline const mpz_class&
-raw_value(const GMP_Integer& x) {
- return x;
-}
-
-inline mpz_class&
-raw_value(GMP_Integer& x) {
- return x;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_GMP_Integer_inlines_hh)
diff --git a/src/GMP_Integer.types.hh b/src/GMP_Integer.types.hh
deleted file mode 100644
index 9a3e111..0000000
--- a/src/GMP_Integer.types.hh
+++ /dev/null
@@ -1,45 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_GMP_Integer_types_hh
-#define PPL_GMP_Integer_types_hh 1
-
-#include "Coefficient_traits_template.hh"
-#include <gmpxx.h>
-#include "mp_std_bits.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-/*! \class Parma_Polyhedra_Library::GMP_Integer
- \brief
- Unbounded integers as provided by the GMP library.
-
- \ingroup PPL_CXX_interface
- GMP_Integer is an alias for the <CODE>mpz_class</CODE> type
- defined in the C++ interface of the GMP library.
- For more information, see <CODE>http://gmplib.org/</CODE>
-*/
-typedef mpz_class GMP_Integer;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Coefficient traits specialization for unbounded integers.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <>
-struct Coefficient_traits_template<GMP_Integer> {
- //! The type used for references to const unbounded integers.
- typedef const GMP_Integer& const_reference;
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_GMP_Integer_types_hh)
diff --git a/src/GMP_Integer_defs.hh b/src/GMP_Integer_defs.hh
new file mode 100644
index 0000000..0030825
--- /dev/null
+++ b/src/GMP_Integer_defs.hh
@@ -0,0 +1,134 @@
+/* GMP_Integer class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_GMP_Integer_defs_hh
+#define PPL_GMP_Integer_defs_hh 1
+
+#include "GMP_Integer_types.hh"
+#include "globals_types.hh"
+#include <cstddef>
+
+namespace Parma_Polyhedra_Library {
+
+//! \name Accessor Functions
+//@{
+
+//! Returns a const reference to the underlying integer value.
+/*! \relates GMP_Integer */
+const mpz_class& raw_value(const GMP_Integer& x);
+
+//! Returns a reference to the underlying integer value.
+/*! \relates GMP_Integer */
+mpz_class& raw_value(GMP_Integer& x);
+
+//@} // Accessor Functions
+
+//! \name Arithmetic Operators
+//@{
+
+//! Assigns to \p x its negation.
+/*! \relates GMP_Integer */
+void neg_assign(GMP_Integer& x);
+
+//! Assigns to \p x the negation of \p y.
+/*! \relates GMP_Integer */
+void neg_assign(GMP_Integer& x, const GMP_Integer& y);
+
+//! Assigns to \p x its absolute value.
+/*! \relates GMP_Integer */
+void abs_assign(GMP_Integer& x);
+
+//! Assigns to \p x the absolute value of \p y.
+/*! \relates GMP_Integer */
+void abs_assign(GMP_Integer& x, const GMP_Integer& y);
+
+//! Assigns to \p x the remainder of the division of \p y by \p z.
+/*! \relates GMP_Integer */
+void rem_assign(GMP_Integer& x,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Assigns to \p x the greatest common divisor of \p y and \p z.
+/*! \relates GMP_Integer */
+void gcd_assign(GMP_Integer& x,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Extended GCD.
+/*! \relates GMP_Integer
+ Assigns to \p x the greatest common divisor of \p y and \p z, and to
+ \p s and \p t the values such that \p y * \p s + \p z * \p t = \p x.
+*/
+void gcdext_assign(GMP_Integer& x, GMP_Integer& s, GMP_Integer& t,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Assigns to \p x the least common multiple of \p y and \p z.
+/*! \relates GMP_Integer */
+void lcm_assign(GMP_Integer& x,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Assigns to \p x the value <CODE>x + y * z</CODE>.
+/*! \relates GMP_Integer */
+void add_mul_assign(GMP_Integer& x,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Assigns to \p x the value <CODE>x - y * z</CODE>.
+/*! \relates GMP_Integer */
+void sub_mul_assign(GMP_Integer& x,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Assigns to \p x the value \f$ y \cdot 2^\mathtt{exp} \f$.
+/*! \relates GMP_Integer */
+void mul_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp);
+
+//! Assigns to \p x the value \f$ y / 2^\mathtt{exp} \f$.
+/*! \relates GMP_Integer */
+void div_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp);
+
+/*! \brief
+ If \p z divides \p y, assigns to \p x the quotient of the integer
+ division of \p y and \p z.
+
+ \relates GMP_Integer
+ The behavior is undefined if \p z does not divide \p y.
+*/
+void exact_div_assign(GMP_Integer& x,
+ const GMP_Integer& y, const GMP_Integer& z);
+
+//! Assigns to \p x the integer square root of \p y.
+/*! \relates GMP_Integer */
+void sqrt_assign(GMP_Integer& x, const GMP_Integer& y);
+
+/*! \brief
+ Returns a negative, zero or positive value depending on whether
+ \p x is lower than, equal to or greater than \p y, respectively.
+
+ \relates GMP_Integer
+*/
+int cmp(const GMP_Integer& x, const GMP_Integer& y);
+
+//@} // Arithmetic Operators
+
+} // namespace Parma_Polyhedra_Library
+
+#include "GMP_Integer_inlines.hh"
+
+#endif // !defined(PPL_GMP_Integer_defs_hh)
diff --git a/src/GMP_Integer_inlines.hh b/src/GMP_Integer_inlines.hh
new file mode 100644
index 0000000..449622c
--- /dev/null
+++ b/src/GMP_Integer_inlines.hh
@@ -0,0 +1,122 @@
+/* GMP_Integer class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_GMP_Integer_inlines_hh
+#define PPL_GMP_Integer_inlines_hh 1
+
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+neg_assign(GMP_Integer& x) {
+ mpz_neg(x.get_mpz_t(), x.get_mpz_t());
+}
+
+inline void
+neg_assign(GMP_Integer& x, const GMP_Integer& y) {
+ mpz_neg(x.get_mpz_t(), y.get_mpz_t());
+}
+
+inline void
+abs_assign(GMP_Integer& x) {
+ mpz_abs(x.get_mpz_t(), x.get_mpz_t());
+}
+
+inline void
+abs_assign(GMP_Integer& x, const GMP_Integer& y) {
+ mpz_abs(x.get_mpz_t(), y.get_mpz_t());
+}
+
+inline void
+gcd_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
+ mpz_gcd(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+rem_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
+ mpz_tdiv_r(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+gcdext_assign(GMP_Integer& x, GMP_Integer& s, GMP_Integer& t,
+ const GMP_Integer& y, const GMP_Integer& z) {
+ mpz_gcdext(x.get_mpz_t(),
+ s.get_mpz_t(), t.get_mpz_t(),
+ y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+lcm_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
+ mpz_lcm(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+add_mul_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
+ mpz_addmul(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+sub_mul_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
+ mpz_submul(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+mul_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp) {
+ mpz_mul_2exp(x.get_mpz_t(), y.get_mpz_t(), exp);
+}
+
+inline void
+div_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp) {
+ mpz_tdiv_q_2exp(x.get_mpz_t(), y.get_mpz_t(), exp);
+}
+
+inline void
+exact_div_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
+ PPL_ASSERT(y % z == 0);
+ mpz_divexact(x.get_mpz_t(), y.get_mpz_t(), z.get_mpz_t());
+}
+
+inline void
+sqrt_assign(GMP_Integer& x, const GMP_Integer& y) {
+ mpz_sqrt(x.get_mpz_t(), y.get_mpz_t());
+}
+
+inline int
+cmp(const GMP_Integer& x, const GMP_Integer& y) {
+ return mpz_cmp(x.get_mpz_t(), y.get_mpz_t());
+}
+
+inline const mpz_class&
+raw_value(const GMP_Integer& x) {
+ return x;
+}
+
+inline mpz_class&
+raw_value(GMP_Integer& x) {
+ return x;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_GMP_Integer_inlines_hh)
diff --git a/src/GMP_Integer_types.hh b/src/GMP_Integer_types.hh
new file mode 100644
index 0000000..9463fed
--- /dev/null
+++ b/src/GMP_Integer_types.hh
@@ -0,0 +1,45 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_GMP_Integer_types_hh
+#define PPL_GMP_Integer_types_hh 1
+
+#include "Coefficient_traits_template.hh"
+#include <gmpxx.h>
+#include "mp_std_bits_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+/*! \class Parma_Polyhedra_Library::GMP_Integer
+ \brief
+ Unbounded integers as provided by the GMP library.
+
+ \ingroup PPL_CXX_interface
+ GMP_Integer is an alias for the <CODE>mpz_class</CODE> type
+ defined in the C++ interface of the GMP library.
+ For more information, see <CODE>http://gmplib.org/</CODE>
+*/
+typedef mpz_class GMP_Integer;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Coefficient traits specialization for unbounded integers.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <>
+struct Coefficient_traits_template<GMP_Integer> {
+ //! The type used for references to const unbounded integers.
+ typedef const GMP_Integer& const_reference;
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_GMP_Integer_types_hh)
diff --git a/src/Generator.cc b/src/Generator.cc
index ab61b35..4ec86a6 100644
--- a/src/Generator.cc
+++ b/src/Generator.cc
@@ -1,6 +1,6 @@
/* Generator class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,10 +22,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Generator.defs.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.defs.hh"
-#include "math_utilities.defs.hh"
+#include "Generator_defs.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_defs.hh"
+#include "math_utilities_defs.hh"
#include <iostream>
#include <sstream>
@@ -35,8 +35,8 @@ namespace PPL = Parma_Polyhedra_Library;
void
PPL::Generator::throw_dimension_incompatible(const char* method,
- const char* v_name,
- const Variable v) const {
+ const char* v_name,
+ const Variable v) const {
std::ostringstream s;
s << "PPL::Generator::" << method << ":" << std::endl
<< "this->space_dimension() == " << space_dimension() << ", "
@@ -46,7 +46,7 @@ PPL::Generator::throw_dimension_incompatible(const char* method,
void
PPL::Generator::throw_invalid_argument(const char* method,
- const char* reason) const {
+ const char* reason) const {
std::ostringstream s;
s << "PPL::Generator::" << method << ":" << std::endl
<< reason << ".";
@@ -88,11 +88,11 @@ PPL::Generator::point(Representation r) {
PPL::Generator
PPL::Generator::closure_point(const Linear_Expression& e,
- Coefficient_traits::const_reference d,
+ Coefficient_traits::const_reference d,
Representation r) {
if (d == 0)
throw std::invalid_argument("PPL::closure_point(e, d):\n"
- "d == 0.");
+ "d == 0.");
Linear_Expression ec(e, r);
ec.set_inhomogeneous_term(d);
@@ -125,11 +125,11 @@ PPL::Generator::ray(const Linear_Expression& e, Representation r) {
// The origin of the space cannot be a ray.
if (e.all_homogeneous_terms_are_zero())
throw std::invalid_argument("PPL::ray(e):\n"
- "e == 0, but the origin cannot be a ray.");
+ "e == 0, but the origin cannot be a ray.");
Linear_Expression ec(e, r);
ec.set_inhomogeneous_term(0);
- Generator g(ec, Generator::RAY, NECESSARILY_CLOSED);
+ const Generator g(ec, Generator::RAY, NECESSARILY_CLOSED);
return g;
}
@@ -139,11 +139,11 @@ PPL::Generator::line(const Linear_Expression& e, Representation r) {
// The origin of the space cannot be a line.
if (e.all_homogeneous_terms_are_zero())
throw std::invalid_argument("PPL::line(e):\n"
- "e == 0, but the origin cannot be a line.");
+ "e == 0, but the origin cannot be a line.");
Linear_Expression ec(e, r);
ec.set_inhomogeneous_term(0);
- Generator g(ec, Generator::LINE, NECESSARILY_CLOSED);
+ const Generator g(ec, Generator::LINE, NECESSARILY_CLOSED);
return g;
}
@@ -172,7 +172,8 @@ PPL::Generator::remove_space_dimensions(const Variables_Set& vars) {
PPL_ASSERT(OK());
return false;
- } else {
+ }
+ else {
strong_normalize();
PPL_ASSERT(OK());
return true;
@@ -228,8 +229,8 @@ PPL::Generator::is_equivalent_to(const Generator& y) const {
// Due to the presence of epsilon-coefficients, syntactically
// different points may actually encode the same generator.
// First, drop the epsilon-coefficient ...
- Linear_Expression x_expr(x);
- Linear_Expression y_expr(y);
+ Linear_Expression x_expr(x.expression());
+ Linear_Expression y_expr(y.expression());
// ... second, re-normalize ...
x_expr.normalize();
y_expr.normalize();
@@ -291,7 +292,7 @@ PPL::Generator::fancy_print(std::ostream& s) const {
bool needed_divisor = false;
bool extra_parentheses = false;
const dimension_type num_variables = space_dimension();
- Generator::Type t = type();
+ const Generator::Type t = type();
switch (t) {
case Generator::LINE:
s << "l(";
@@ -378,9 +379,9 @@ PPL::IO_Operators::operator<<(std::ostream& s, const Generator::Type& t) {
bool
PPL::Generator::is_matching_closure_point(const Generator& p) const {
PPL_ASSERT(topology() == p.topology()
- && space_dimension() == p.space_dimension()
- && type() == CLOSURE_POINT
- && p.type() == POINT);
+ && space_dimension() == p.space_dimension()
+ && type() == CLOSURE_POINT
+ && p.type() == POINT);
const Generator& cp = *this;
if (cp.expr.inhomogeneous_term() == p.expr.inhomogeneous_term()) {
// Divisors are equal: we can simply compare coefficients
@@ -414,8 +415,8 @@ PPL::Generator::OK() const {
if (is_not_necessarily_closed() && expr.space_dimension() == 0) {
#ifndef NDEBUG
std::cerr << "Generator has fewer coefficients than the minimum "
- << "allowed by its topology."
- << std::endl;
+ << "allowed by its topology."
+ << std::endl;
#endif
return false;
}
@@ -426,7 +427,7 @@ PPL::Generator::OK() const {
if (tmp != *this) {
#ifndef NDEBUG
std::cerr << "Generators should be strongly normalized!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -438,15 +439,15 @@ PPL::Generator::OK() const {
if (expr.inhomogeneous_term() != 0) {
#ifndef NDEBUG
std::cerr << "Lines must have a zero inhomogeneous term!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
if (!is_necessarily_closed() && epsilon_coefficient() != 0) {
#ifndef NDEBUG
std::cerr << "Lines and rays must have a zero coefficient "
- << "for the epsilon dimension!"
- << std::endl;
+ << "for the epsilon dimension!"
+ << std::endl;
#endif
return false;
}
@@ -455,7 +456,7 @@ PPL::Generator::OK() const {
if (expr.all_homogeneous_terms_are_zero()) {
#ifndef NDEBUG
std::cerr << "The origin of the vector space cannot be a line or a ray!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -465,17 +466,17 @@ PPL::Generator::OK() const {
if (expr.inhomogeneous_term() <= 0) {
#ifndef NDEBUG
std::cerr << "Points must have a positive divisor!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
if (!is_necessarily_closed())
if (epsilon_coefficient() <= 0) {
#ifndef NDEBUG
- std::cerr << "In the NNC topology, points must have epsilon > 0"
- << std::endl;
+ std::cerr << "In the NNC topology, points must have epsilon > 0"
+ << std::endl;
#endif
- return false;
+ return false;
}
break;
@@ -483,7 +484,7 @@ PPL::Generator::OK() const {
if (expr.inhomogeneous_term() <= 0) {
#ifndef NDEBUG
std::cerr << "Closure points must have a positive divisor!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
diff --git a/src/Generator.defs.hh b/src/Generator.defs.hh
deleted file mode 100644
index c842319..0000000
--- a/src/Generator.defs.hh
+++ /dev/null
@@ -1,1036 +0,0 @@
-/* Generator class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Generator_defs_hh
-#define PPL_Generator_defs_hh 1
-
-#include "Generator.types.hh"
-#include "Scalar_Products.types.hh"
-#include "Variables_Set.types.hh"
-#include "Constraint_System.types.hh"
-#include "Generator_System.types.hh"
-#include "Congruence_System.types.hh"
-#include "Polyhedron.types.hh"
-#include "Grid_Generator.types.hh"
-#include "Grid_Generator_System.types.hh"
-#include "MIP_Problem.types.hh"
-#include "Grid.types.hh"
-
-#include "Variable.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Checked_Number.defs.hh"
-#include "distances.defs.hh"
-#include "Topology.types.hh"
-#include "Expression_Hide_Last.defs.hh"
-#include "Expression_Hide_Inhomo.defs.hh"
-
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-// Put them in the namespace here to declare them friend later.
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The basic comparison function.
-/*! \relates Generator
- \return
- The returned absolute value can be \f$0\f$, \f$1\f$ or \f$2\f$.
-
- \param x
- A row of coefficients;
-
- \param y
- Another row.
-
- Compares \p x and \p y, where \p x and \p y may be of different size,
- in which case the "missing" coefficients are assumed to be zero.
- The comparison is such that:
- -# equalities are smaller than inequalities;
- -# lines are smaller than points and rays;
- -# the ordering is lexicographic;
- -# the positions compared are, in decreasing order of significance,
- 1, 2, ..., \p size(), 0;
- -# the result is negative, zero, or positive if x is smaller than,
- equal to, or greater than y, respectively;
- -# when \p x and \p y are different, the absolute value of the
- result is 1 if the difference is due to the coefficient in
- position 0; it is 2 otherwise.
-
- When \p x and \p y represent the hyper-planes associated
- to two equality or inequality constraints, the coefficient
- at 0 is the known term.
- In this case, the return value can be characterized as follows:
- - -2, if \p x is smaller than \p y and they are \e not parallel;
- - -1, if \p x is smaller than \p y and they \e are parallel;
- - 0, if \p x and y are equal;
- - +1, if \p y is smaller than \p x and they \e are parallel;
- - +2, if \p y is smaller than \p x and they are \e not parallel.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-int compare(const Generator& x, const Generator& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Generator */
-std::ostream& operator<<(std::ostream& s, const Generator& g);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Generator */
-void swap(Generator& x, Generator& y);
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! A line, ray, point or closure point.
-/*! \ingroup PPL_CXX_interface
- An object of the class Generator is one of the following:
-
- - a line \f$\vect{l} = (a_0, \ldots, a_{n-1})^\transpose\f$;
-
- - a ray \f$\vect{r} = (a_0, \ldots, a_{n-1})^\transpose\f$;
-
- - a point
- \f$\vect{p} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
-
- - a closure point
- \f$\vect{c} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
-
- where \f$n\f$ is the dimension of the space
- and, for points and closure points, \f$d > 0\f$ is the divisor.
-
- \par A note on terminology.
- As observed in Section \ref representation, there are cases when,
- in order to represent a polyhedron \f$\cP\f$ using the generator system
- \f$\cG = (L, R, P, C)\f$, we need to include in the finite set
- \f$P\f$ even points of \f$\cP\f$ that are <EM>not</EM> vertices
- of \f$\cP\f$.
- This situation is even more frequent when working with NNC polyhedra
- and it is the reason why we prefer to use the word `point'
- where other libraries use the word `vertex'.
-
- \par How to build a generator.
- Each type of generator is built by applying the corresponding
- function (<CODE>line</CODE>, <CODE>ray</CODE>, <CODE>point</CODE>
- or <CODE>closure_point</CODE>) to a linear expression,
- representing a direction in the space;
- the space dimension of the generator is defined as the space dimension
- of the corresponding linear expression.
- Linear expressions used to define a generator should be homogeneous
- (any constant term will be simply ignored).
- When defining points and closure points, an optional Coefficient argument
- can be used as a common <EM>divisor</EM> for all the coefficients
- occurring in the provided linear expression;
- the default value for this argument is 1.
-
- \par
- In all the following examples it is assumed that variables
- <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
- are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- Variable z(2);
- \endcode
-
- \par Example 1
- The following code builds a line with direction \f$x-y-z\f$
- and having space dimension \f$3\f$:
- \code
- Generator l = line(x - y - z);
- \endcode
- As mentioned above, the constant term of the linear expression
- is not relevant. Thus, the following code has the same effect:
- \code
- Generator l = line(x - y - z + 15);
- \endcode
- By definition, the origin of the space is not a line, so that
- the following code throws an exception:
- \code
- Generator l = line(0*x);
- \endcode
-
- \par Example 2
- The following code builds a ray with the same direction as the
- line in Example 1:
- \code
- Generator r = ray(x - y - z);
- \endcode
- As is the case for lines, when specifying a ray the constant term
- of the linear expression is not relevant; also, an exception is thrown
- when trying to build a ray from the origin of the space.
-
- \par Example 3
- The following code builds the point
- \f$\vect{p} = (1, 0, 2)^\transpose \in \Rset^3\f$:
- \code
- Generator p = point(1*x + 0*y + 2*z);
- \endcode
- The same effect can be obtained by using the following code:
- \code
- Generator p = point(x + 2*z);
- \endcode
- Similarly, the origin \f$\vect{0} \in \Rset^3\f$ can be defined
- using either one of the following lines of code:
- \code
- Generator origin3 = point(0*x + 0*y + 0*z);
- Generator origin3_alt = point(0*z);
- \endcode
- Note however that the following code would have defined
- a different point, namely \f$\vect{0} \in \Rset^2\f$:
- \code
- Generator origin2 = point(0*y);
- \endcode
- The following two lines of code both define the only point
- having space dimension zero, namely \f$\vect{0} \in \Rset^0\f$.
- In the second case we exploit the fact that the first argument
- of the function <CODE>point</CODE> is optional.
- \code
- Generator origin0 = Generator::zero_dim_point();
- Generator origin0_alt = point();
- \endcode
-
- \par Example 4
- The point \f$\vect{p}\f$ specified in Example 3 above
- can also be obtained with the following code,
- where we provide a non-default value for the second argument
- of the function <CODE>point</CODE> (the divisor):
- \code
- Generator p = point(2*x + 0*y + 4*z, 2);
- \endcode
- Obviously, the divisor can be usefully exploited to specify
- points having some non-integer (but rational) coordinates.
- For instance, the point
- \f$\vect{q} = (-1.5, 3.2, 2.1)^\transpose \in \Rset^3\f$
- can be specified by the following code:
- \code
- Generator q = point(-15*x + 32*y + 21*z, 10);
- \endcode
- If a zero divisor is provided, an exception is thrown.
-
- \par Example 5
- Closure points are specified in the same way we defined points,
- but invoking their specific constructor function.
- For instance, the closure point
- \f$\vect{c} = (1, 0, 2)^\transpose \in \Rset^3\f$ is defined by
- \code
- Generator c = closure_point(1*x + 0*y + 2*z);
- \endcode
- For the particular case of the (only) closure point
- having space dimension zero, we can use any of the following:
- \code
- Generator closure_origin0 = Generator::zero_dim_closure_point();
- Generator closure_origin0_alt = closure_point();
- \endcode
-
- \par How to inspect a generator
- Several methods are provided to examine a generator and extract
- all the encoded information: its space dimension, its type and
- the value of its integer coefficients.
-
- \par Example 6
- The following code shows how it is possible to access each single
- coefficient of a generator.
- If <CODE>g1</CODE> is a point having coordinates
- \f$(a_0, \ldots, a_{n-1})^\transpose\f$,
- we construct the closure point <CODE>g2</CODE> having coordinates
- \f$(a_0, 2 a_1, \ldots, (i+1)a_i, \ldots, n a_{n-1})^\transpose\f$.
- \code
- if (g1.is_point()) {
- cout << "Point g1: " << g1 << endl;
- Linear_Expression e;
- for (dimension_type i = g1.space_dimension(); i-- > 0; )
- e += (i + 1) * g1.coefficient(Variable(i)) * Variable(i);
- Generator g2 = closure_point(e, g1.divisor());
- cout << "Closure point g2: " << g2 << endl;
- }
- else
- cout << "Generator g1 is not a point." << endl;
- \endcode
- Therefore, for the point
- \code
- Generator g1 = point(2*x - y + 3*z, 2);
- \endcode
- we would obtain the following output:
- \code
- Point g1: p((2*A - B + 3*C)/2)
- Closure point g2: cp((2*A - 2*B + 9*C)/2)
- \endcode
- When working with (closure) points, be careful not to confuse
- the notion of <EM>coefficient</EM> with the notion of <EM>coordinate</EM>:
- these are equivalent only when the divisor of the (closure) point is 1.
-*/
-class Parma_Polyhedra_Library::Generator {
-public:
-
- //! The representation used for new Generators.
- /*!
- \note The copy constructor and the copy constructor with specified size
- use the representation of the original object, so that it is
- indistinguishable from the original object.
- */
- static const Representation default_representation = SPARSE;
-
- //! Returns the line of direction \p e.
- /*!
- \exception std::invalid_argument
- Thrown if the homogeneous part of \p e represents the origin of
- the vector space.
- */
- static Generator line(const Linear_Expression& e,
- Representation r = default_representation);
-
- //! Returns the ray of direction \p e.
- /*!
- \exception std::invalid_argument
- Thrown if the homogeneous part of \p e represents the origin of
- the vector space.
- */
- static Generator ray(const Linear_Expression& e,
- Representation r = default_representation);
-
- //! Returns the point at \p e / \p d.
- /*!
- Both \p e and \p d are optional arguments, with default values
- Linear_Expression::zero() and Coefficient_one(), respectively.
-
- \exception std::invalid_argument
- Thrown if \p d is zero.
- */
- static Generator point(const Linear_Expression& e
- = Linear_Expression::zero(),
- Coefficient_traits::const_reference d
- = Coefficient_one(),
- Representation r = default_representation);
-
- //! Returns the origin.
- static Generator point(Representation r);
-
- //! Returns the point at \p e.
- static Generator point(const Linear_Expression& e,
- Representation r);
-
- //! Constructs the point at the origin.
- explicit Generator(Representation r = default_representation);
-
- //! Returns the closure point at \p e / \p d.
- /*!
- Both \p e and \p d are optional arguments, with default values
- Linear_Expression::zero() and Coefficient_one(), respectively.
-
- \exception std::invalid_argument
- Thrown if \p d is zero.
- */
- static Generator
- closure_point(const Linear_Expression& e = Linear_Expression::zero(),
- Coefficient_traits::const_reference d = Coefficient_one(),
- Representation r = default_representation);
-
- //! Returns the closure point at the origin.
- static Generator
- closure_point(Representation r);
-
- //! Returns the closure point at \p e.
- static Generator
- closure_point(const Linear_Expression& e, Representation r);
-
- //! Ordinary copy constructor.
- //! The representation of the new Generator will be the same as g.
- Generator(const Generator& g);
-
- //! Copy constructor with given representation.
- Generator(const Generator& g, Representation r);
-
- //! Copy constructor with given space dimension.
- //! The representation of the new Generator will be the same as g.
- Generator(const Generator& g, dimension_type space_dim);
-
- //! Copy constructor with given representation and space dimension.
- Generator(const Generator& g, dimension_type space_dim, Representation r);
-
- //! Destructor.
- ~Generator();
-
- //! Assignment operator.
- Generator& operator=(const Generator& g);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Generator can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Sets the dimension of the vector space enclosing \p *this to
- //! \p space_dim .
- void set_space_dimension(dimension_type space_dim);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Removes all the specified dimensions from the generator.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
-
- If all dimensions with nonzero coefficients are removed from a ray or a
- line, it is changed into a point and this method returns \p false .
- Otherwise, it returns \p true .
- */
- bool remove_space_dimensions(const Variables_Set& vars);
-
- //! Permutes the space dimensions of the generator.
- /*!
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! The generator type.
- enum Type {
- /*! The generator is a line. */
- LINE,
- /*! The generator is a ray. */
- RAY,
- /*! The generator is a point. */
- POINT,
- /*! The generator is a closure point. */
- CLOSURE_POINT
- };
-
- //! Returns the generator type of \p *this.
- Type type() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a line.
- bool is_line() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a ray.
- bool is_ray() const;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Returns <CODE>true</CODE> if and only if \p *this is a line or a ray.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool is_line_or_ray() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a point.
- bool is_point() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a closure point.
- bool is_closure_point() const;
-
- //! Returns the coefficient of \p v in \p *this.
- /*!
- \exception std::invalid_argument
- Thrown if the index of \p v is greater than or equal to the
- space dimension of \p *this.
- */
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! If \p *this is either a point or a closure point, returns its divisor.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this is neither a point nor a closure point.
- */
- Coefficient_traits::const_reference divisor() const;
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- //! Returns the origin of the zero-dimensional space \f$\Rset^0\f$.
- static const Generator& zero_dim_point();
-
- /*! \brief
- Returns, as a closure point,
- the origin of the zero-dimensional space \f$\Rset^0\f$.
- */
- static const Generator& zero_dim_closure_point();
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y
- are equivalent generators.
-
- Generators having different space dimensions are not equivalent.
- */
- bool is_equivalent_to(const Generator& y) const;
-
- //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
- /*!
- This is faster than is_equivalent_to(), but it may return `false' even
- for equivalent generators.
- */
- bool is_equal_to(const Generator& y) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Swaps \p *this with \p y.
- void m_swap(Generator& y);
-
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> > Expression;
-
- //! Allows user code to read the internal expression (but note that this
- //! is a different type, not all operations are allowed).
- const Expression& expression() const;
-
-private:
- //! The possible kinds of Generator objects.
- enum Kind {
- LINE_OR_EQUALITY = 0,
- RAY_OR_POINT_OR_INEQUALITY = 1
- };
-
- Linear_Expression expr;
-
- Expression_Hide_Inhomo<Linear_Expression> semi_wrapped_expr;
-
- Expression wrapped_expr;
-
- Kind kind_;
-
- Topology topology_;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the origin of the zero-dimensional space \f$\Rset^0\f$.
- */
- static const Generator* zero_dim_point_p;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the origin of the zero-dimensional space \f$\Rset^0\f$, as a closure point.
- */
- static const Generator* zero_dim_closure_point_p;
-
- /*! \brief
- Builds a generator of type \p type and topology \p topology,
- stealing the coefficients from \p e.
-
- If the topology is NNC, the last dimension of \p e is used as the epsilon
- coefficient.
- */
- Generator(Linear_Expression& e, Type type, Topology topology);
-
- Generator(Linear_Expression& e, Kind kind, Topology topology);
-
- Generator(dimension_type space_dim, Kind kind, Topology topology,
- Representation r = default_representation);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row
- represents a line or an equality.
- */
- bool is_line_or_equality() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row
- represents a ray, a point or an inequality.
- */
- bool is_ray_or_point_or_inequality() const;
-
- //! Sets to \p LINE_OR_EQUALITY the kind of \p *this row.
- void set_is_line_or_equality();
-
- //! Sets to \p RAY_OR_POINT_OR_INEQUALITY the kind of \p *this row.
- void set_is_ray_or_point_or_inequality();
-
- //! \name Flags inspection methods
- //@{
- //! Returns the topological kind of \p *this.
- Topology topology() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the topology
- of \p *this row is not necessarily closed.
- */
- bool is_not_necessarily_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the topology
- of \p *this row is necessarily closed.
- */
- bool is_necessarily_closed() const;
- //@} // Flags inspection methods
-
- //! \name Flags coercion methods
- //@{
-
- //! Sets to \p x the topological kind of \p *this row.
- void set_topology(Topology x);
-
- //! Sets to \p NECESSARILY_CLOSED the topological kind of \p *this row.
- void set_necessarily_closed();
-
- //! Sets to \p NOT_NECESSARILY_CLOSED the topological kind of \p *this row.
- void set_not_necessarily_closed();
- //@} // Flags coercion methods
-
- //! Marks the epsilon dimension as a standard dimension.
- /*!
- The row topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is increased by 1.
- */
- void mark_as_necessarily_closed();
-
- //! Marks the last dimension as the epsilon dimension.
- /*!
- The row topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is decreased by 1.
- */
- void mark_as_not_necessarily_closed();
-
- //! Linearly combines \p *this with \p y so that i-th coefficient is 0.
- /*!
- \param y
- The Generator that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting Generator to \p *this and normalizes it.
- */
- void linear_combine(const Generator& y, dimension_type i);
-
- //! Sets the dimension of the vector space enclosing \p *this to
- //! \p space_dim .
- //! Sets the space dimension of the rows in the system to \p space_dim .
- /*!
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid objects.
- */
- void set_space_dimension_no_ok(dimension_type space_dim);
-
- /*! \brief
- Throw a <CODE>std::invalid_argument</CODE> exception
- containing the appropriate error message.
- */
- void
- throw_dimension_incompatible(const char* method,
- const char* v_name,
- Variable v) const;
-
- /*! \brief
- Throw a <CODE>std::invalid_argument</CODE> exception
- containing the appropriate error message.
- */
- void
- throw_invalid_argument(const char* method, const char* reason) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is not a line.
- bool is_ray_or_point() const;
-
- //! Sets the Generator kind to <CODE>LINE_OR_EQUALITY</CODE>.
- void set_is_line();
-
- //! Sets the Generator kind to <CODE>RAY_OR_POINT_OR_INEQUALITY</CODE>.
- void set_is_ray_or_point();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the closure point
- \p *this has the same \e coordinates of the point \p p.
-
- It is \e assumed that \p *this is a closure point, \p p is a point
- and both topologies and space dimensions agree.
- */
- bool is_matching_closure_point(const Generator& p) const;
-
- //! Returns the epsilon coefficient. The generator must be NNC.
- Coefficient_traits::const_reference epsilon_coefficient() const;
-
- //! Sets the epsilon coefficient to \p n. The generator must be NNC.
- void set_epsilon_coefficient(Coefficient_traits::const_reference n);
-
- /*! \brief
- Normalizes the sign of the coefficients so that the first non-zero
- (homogeneous) coefficient of a line-or-equality is positive.
- */
- void sign_normalize();
-
- /*! \brief
- Strong normalization: ensures that different Generator objects
- represent different hyperplanes or hyperspaces.
-
- Applies both Generator::normalize() and Generator::sign_normalize().
- */
- void strong_normalize();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the coefficients are
- strongly normalized.
- */
- bool check_strong_normalized() const;
-
- //! Another print functions, with fancy output, more human-friendly.
- //! This is used by operator<<();
- void fancy_print(std::ostream& s) const;
-
- friend class Linear_System<Generator>;
- friend class Parma_Polyhedra_Library::Scalar_Products;
- friend class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Sign;
- friend class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Assign;
- friend class Parma_Polyhedra_Library::Generator_System;
- friend class Parma_Polyhedra_Library::Generator_System_const_iterator;
- // FIXME: the following friend declaration should be avoided.
- friend class Parma_Polyhedra_Library::Polyhedron;
- // This is for access to Linear_Expression in `insert'.
- friend class Parma_Polyhedra_Library::Grid_Generator_System;
- friend class Parma_Polyhedra_Library::MIP_Problem;
- friend class Parma_Polyhedra_Library::Grid;
-
- friend
- Parma_Polyhedra_Library
- ::Linear_Expression::Linear_Expression(const Generator& g);
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators::operator<<(std::ostream& s,
- const Generator& g);
-
- friend int
- compare(const Generator& x, const Generator& y);
-};
-
-
-namespace Parma_Polyhedra_Library {
-
-//! Shorthand for Generator::line(const Linear_Expression& e, Representation r).
-/*! \relates Generator */
-Generator line(const Linear_Expression& e,
- Representation r = Generator::default_representation);
-
-//! Shorthand for Generator::ray(const Linear_Expression& e, Representation r).
-/*! \relates Generator */
-Generator ray(const Linear_Expression& e,
- Representation r = Generator::default_representation);
-
-/*! \brief
- Shorthand for
- Generator::point(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
-
- \relates Generator
-*/
-Generator
-point(const Linear_Expression& e = Linear_Expression::zero(),
- Coefficient_traits::const_reference d = Coefficient_one(),
- Representation r = Generator::default_representation);
-
-//! Shorthand for Generator::point(Representation r).
-/*! \relates Generator */
-Generator
-point(Representation r);
-
-/*! \brief
- Shorthand for
- Generator::point(const Linear_Expression& e, Representation r).
-
- \relates Generator
-*/
-Generator
-point(const Linear_Expression& e, Representation r);
-
-/*! \brief
- Shorthand for
- Generator::closure_point(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
-
- \relates Generator
-*/
-Generator
-closure_point(const Linear_Expression& e = Linear_Expression::zero(),
- Coefficient_traits::const_reference d = Coefficient_one(),
- Representation r = Generator::default_representation);
-
-//! Shorthand for Generator::closure_point(Representation r).
-/*! \relates Generator */
-Generator
-closure_point(Representation r);
-
-/*! \brief
- Shorthand for
- Generator::closure_point(const Linear_Expression& e, Representation r).
-
- \relates Generator
-*/
-Generator
-closure_point(const Linear_Expression& e, Representation r);
-
-//! Returns <CODE>true</CODE> if and only if \p x is equivalent to \p y.
-/*! \relates Generator */
-bool operator==(const Generator& x, const Generator& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x is not equivalent to \p y.
-/*! \relates Generator */
-bool operator!=(const Generator& x, const Generator& y);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Generator
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename To>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Generator
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename Temp, typename To>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Generator
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename Temp, typename To>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Generator
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename To>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Generator
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename Temp, typename To>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Generator
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename Temp, typename To>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Generator
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename To>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Generator
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename Temp, typename To>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Generator
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-
- \note
- Distances are \e only defined between generators that are points and/or
- closure points; for rays or lines, \c false is returned.
-*/
-template <typename Temp, typename To>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Generator */
-std::ostream& operator<<(std::ostream& s, const Generator::Type& t);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Generator.inlines.hh"
-
-#endif // !defined(PPL_Generator_defs_hh)
diff --git a/src/Generator.inlines.hh b/src/Generator.inlines.hh
deleted file mode 100644
index 88e0a96..0000000
--- a/src/Generator.inlines.hh
+++ /dev/null
@@ -1,728 +0,0 @@
-/* Generator class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Generator_inlines_hh
-#define PPL_Generator_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline bool
-Generator::is_necessarily_closed() const {
- return (topology() == NECESSARILY_CLOSED);
-}
-
-inline bool
-Generator::is_not_necessarily_closed() const {
- return (topology() == NOT_NECESSARILY_CLOSED);
-}
-
-inline dimension_type
-Generator::space_dimension() const {
- return wrapped_expr.space_dimension();
-}
-
-inline bool
-Generator::is_line_or_equality() const {
- return (kind_ == LINE_OR_EQUALITY);
-}
-
-inline bool
-Generator::is_ray_or_point_or_inequality() const {
- return (kind_ == RAY_OR_POINT_OR_INEQUALITY);
-}
-
-inline Topology
-Generator::topology() const {
- return topology_;
-}
-
-inline void
-Generator::set_is_line_or_equality() {
- kind_ = LINE_OR_EQUALITY;
-}
-
-inline void
-Generator::set_is_ray_or_point_or_inequality() {
- kind_ = RAY_OR_POINT_OR_INEQUALITY;
-}
-
-inline void
-Generator::set_topology(Topology x) {
- if (topology() == x)
- return;
- if (topology() == NECESSARILY_CLOSED) {
- // Add a column for the epsilon dimension.
- expr.set_space_dimension(expr.space_dimension() + 1);
- wrapped_expr.set_hide_last(true);
- } else {
- PPL_ASSERT(expr.space_dimension() > 0);
- expr.set_space_dimension(expr.space_dimension() - 1);
- wrapped_expr.set_hide_last(false);
- }
- topology_ = x;
-}
-
-inline void
-Generator::mark_as_necessarily_closed() {
- PPL_ASSERT(is_not_necessarily_closed());
- topology_ = NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(false);
-}
-
-inline void
-Generator::mark_as_not_necessarily_closed() {
- PPL_ASSERT(is_necessarily_closed());
- topology_ = NOT_NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(true);
-}
-
-inline void
-Generator::set_necessarily_closed() {
- set_topology(NECESSARILY_CLOSED);
-}
-
-inline void
-Generator::set_not_necessarily_closed() {
- set_topology(NOT_NECESSARILY_CLOSED);
-}
-
-inline
-Generator::Generator(Representation r)
- : expr(r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, false),
- kind_(RAY_OR_POINT_OR_INEQUALITY),
- topology_(NECESSARILY_CLOSED) {
- expr.set_inhomogeneous_term(Coefficient_one());
- PPL_ASSERT(space_dimension() == 0);
- PPL_ASSERT(OK());
-}
-
-inline
-Generator::Generator(dimension_type space_dim, Kind kind, Topology topology,
- Representation r)
- : expr(r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, topology == NOT_NECESSARILY_CLOSED),
- kind_(kind),
- topology_(topology) {
- if (is_necessarily_closed())
- expr.set_space_dimension(space_dim);
- else
- expr.set_space_dimension(space_dim + 1);
- PPL_ASSERT(space_dimension() == space_dim);
- PPL_ASSERT(OK());
-}
-
-inline
-Generator::Generator(Linear_Expression& e, Type type, Topology topology)
- : semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, topology == NOT_NECESSARILY_CLOSED),
- topology_(topology) {
- PPL_ASSERT(type != CLOSURE_POINT || topology == NOT_NECESSARILY_CLOSED);
- swap(expr, e);
- if (topology == NOT_NECESSARILY_CLOSED)
- expr.set_space_dimension(expr.space_dimension() + 1);
- if (type == LINE)
- kind_ = LINE_OR_EQUALITY;
- else
- kind_ = RAY_OR_POINT_OR_INEQUALITY;
- strong_normalize();
-}
-
-inline
-Generator::Generator(Linear_Expression& e, Kind kind, Topology topology)
- : semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, topology == NOT_NECESSARILY_CLOSED),
- kind_(kind),
- topology_(topology) {
- swap(expr, e);
- if (topology == NOT_NECESSARILY_CLOSED)
- expr.set_space_dimension(expr.space_dimension() + 1);
- strong_normalize();
-}
-
-inline
-Generator::Generator(const Generator& g)
- : expr(g.expr),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
- kind_(g.kind_),
- topology_(g.topology_) {
-}
-
-inline
-Generator::Generator(const Generator& g, Representation r)
- : expr(g.expr, r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
- kind_(g.kind_),
- topology_(g.topology_) {
- // This does not assert OK() because it's called by OK().
- PPL_ASSERT(OK());
-}
-
-inline
-Generator::Generator(const Generator& g, dimension_type space_dim)
- : expr(g.expr, g.is_necessarily_closed() ? space_dim : (space_dim + 1)),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
- kind_(g.kind_),
- topology_(g.topology_) {
- PPL_ASSERT(OK());
- PPL_ASSERT(space_dimension() == space_dim);
-}
-
-inline
-Generator::Generator(const Generator& g, dimension_type space_dim,
- Representation r)
- : expr(g.expr, g.is_necessarily_closed() ? space_dim : (space_dim + 1), r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
- kind_(g.kind_),
- topology_(g.topology_) {
- PPL_ASSERT(OK());
- PPL_ASSERT(space_dimension() == space_dim);
-}
-
-inline
-Generator::~Generator() {
-}
-
-inline Generator&
-Generator::operator=(const Generator& g) {
- Generator tmp = g;
- swap(*this, tmp);
-
- return *this;
-}
-
-inline const Generator::Expression&
-Generator::expression() const {
- return wrapped_expr;
-}
-
-inline Representation
-Generator::representation() const {
- return expr.representation();
-}
-
-inline void
-Generator::set_representation(Representation r) {
- expr.set_representation(r);
-}
-
-inline dimension_type
-Generator::max_space_dimension() {
- return Linear_Expression::max_space_dimension();
-}
-
-inline void
-Generator::set_space_dimension_no_ok(dimension_type space_dim) {
- const dimension_type old_expr_space_dim = expr.space_dimension();
- if (topology() == NECESSARILY_CLOSED) {
- expr.set_space_dimension(space_dim);
- } else {
- const dimension_type old_space_dim = space_dimension();
- if (space_dim > old_space_dim) {
- expr.set_space_dimension(space_dim + 1);
- expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- } else {
- expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- expr.set_space_dimension(space_dim + 1);
- }
- }
- PPL_ASSERT(space_dimension() == space_dim);
- if (expr.space_dimension() < old_expr_space_dim)
- strong_normalize();
-}
-
-inline void
-Generator::set_space_dimension(dimension_type space_dim) {
- set_space_dimension_no_ok(space_dim);
- PPL_ASSERT(OK());
-}
-
-inline void
-Generator::shift_space_dimensions(Variable v, dimension_type n) {
- expr.shift_space_dimensions(v, n);
-}
-
-inline bool
-Generator::is_line() const {
- return is_line_or_equality();
-}
-
-inline bool
-Generator::is_ray_or_point() const {
- return is_ray_or_point_or_inequality();
-}
-
-inline bool
-Generator::is_line_or_ray() const {
- return expr.inhomogeneous_term() == 0;
-}
-
-inline bool
-Generator::is_ray() const {
- return is_ray_or_point() && is_line_or_ray();
-}
-
-inline Generator::Type
-Generator::type() const {
- if (is_line())
- return LINE;
- if (is_line_or_ray())
- return RAY;
- if (is_necessarily_closed())
- return POINT;
- else {
- // Checking the value of the epsilon coefficient.
- if (epsilon_coefficient() == 0)
- return CLOSURE_POINT;
- else
- return POINT;
- }
-}
-
-inline bool
-Generator::is_point() const {
- return type() == POINT;
-}
-
-inline bool
-Generator::is_closure_point() const {
- return type() == CLOSURE_POINT;
-}
-
-inline void
-Generator::set_is_line() {
- set_is_line_or_equality();
-}
-
-inline void
-Generator::set_is_ray_or_point() {
- set_is_ray_or_point_or_inequality();
-}
-
-inline Coefficient_traits::const_reference
-Generator::coefficient(const Variable v) const {
- if (v.space_dimension() > space_dimension())
- throw_dimension_incompatible("coefficient(v)", "v", v);
- return expr.coefficient(v);
-}
-
-inline Coefficient_traits::const_reference
-Generator::divisor() const {
- Coefficient_traits::const_reference d = expr.inhomogeneous_term();
- if (!is_ray_or_point() || d == 0)
- throw_invalid_argument("divisor()",
- "*this is neither a point nor a closure point");
- return d;
-}
-
-inline Coefficient_traits::const_reference
-Generator::epsilon_coefficient() const {
- PPL_ASSERT(is_not_necessarily_closed());
- return expr.coefficient(Variable(expr.space_dimension() - 1));
-}
-
-
-inline void
-Generator::set_epsilon_coefficient(Coefficient_traits::const_reference n) {
- PPL_ASSERT(is_not_necessarily_closed());
- expr.set_coefficient(Variable(expr.space_dimension() - 1), n);
-}
-
-
-inline memory_size_type
-Generator::external_memory_in_bytes() const {
- return expr.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Generator::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline void
-Generator::strong_normalize() {
- expr.normalize();
- sign_normalize();
-}
-
-inline const Generator&
-Generator::zero_dim_point() {
- PPL_ASSERT(zero_dim_point_p != 0);
- return *zero_dim_point_p;
-}
-
-inline const Generator&
-Generator::zero_dim_closure_point() {
- PPL_ASSERT(zero_dim_closure_point_p != 0);
- return *zero_dim_closure_point_p;
-}
-
-/*! \relates Generator */
-inline Generator
-line(const Linear_Expression& e, Representation r) {
- return Generator::line(e, r);
-}
-
-/*! \relates Generator */
-inline Generator
-ray(const Linear_Expression& e, Representation r) {
- return Generator::ray(e, r);
-}
-
-/*! \relates Generator */
-inline Generator
-point(const Linear_Expression& e, Coefficient_traits::const_reference d,
- Representation r) {
- return Generator::point(e, d, r);
-}
-
-/*! \relates Generator */
-inline Generator
-point(Representation r) {
- return Generator::point(r);
-}
-
-/*! \relates Generator */
-inline Generator
-point(const Linear_Expression& e, Representation r) {
- return Generator::point(e, r);
-}
-
-/*! \relates Generator */
-inline Generator
-closure_point(const Linear_Expression& e,
- Coefficient_traits::const_reference d,
- Representation r) {
- return Generator::closure_point(e, d, r);
-}
-
-/*! \relates Generator */
-inline Generator
-closure_point(Representation r) {
- return Generator::closure_point(r);
-}
-
-/*! \relates Generator */
-inline Generator
-closure_point(const Linear_Expression& e,
- Representation r) {
- return Generator::closure_point(e, r);
-}
-
-/*! \relates Generator */
-inline bool
-operator==(const Generator& x, const Generator& y) {
- return x.is_equivalent_to(y);
-}
-
-/*! \relates Generator */
-inline bool
-operator!=(const Generator& x, const Generator& y) {
- return !x.is_equivalent_to(y);
-}
-
-inline void
-Generator::ascii_dump(std::ostream& s) const {
-
- expr.ascii_dump(s);
-
- s << " ";
-
- switch (type()) {
- case Generator::LINE:
- s << "L ";
- break;
- case Generator::RAY:
- s << "R ";
- break;
- case Generator::POINT:
- s << "P ";
- break;
- case Generator::CLOSURE_POINT:
- s << "C ";
- break;
- }
- if (is_necessarily_closed())
- s << "(C)";
- else
- s << "(NNC)";
- s << "\n";
-}
-
-inline bool
-Generator::ascii_load(std::istream& s) {
- std::string str;
-
- expr.ascii_load(s);
-
- if (!(s >> str))
- return false;
- if (str == "L")
- set_is_line();
- else if (str == "R" || str == "P" || str == "C")
- set_is_ray_or_point();
- else
- return false;
-
- std::string str2;
-
- if (!(s >> str2))
- return false;
- if (str2 == "(C)") {
- if (is_not_necessarily_closed())
- // TODO: Avoid using the mark_as_*() methods if possible.
- mark_as_necessarily_closed();
- }
- else {
- if (str2 == "(NNC)") {
- if (is_necessarily_closed())
- // TODO: Avoid using the mark_as_*() methods if possible.
- mark_as_not_necessarily_closed();
- }
- else
- return false;
- }
-
- // Checking for equality of actual and declared types.
- switch (type()) {
- case Generator::LINE:
- if (str != "L")
- return false;
- break;
- case Generator::RAY:
- if (str != "R")
- return false;
- break;
- case Generator::POINT:
- if (str != "P")
- return false;
- break;
- case Generator::CLOSURE_POINT:
- if (str != "C")
- return false;
- break;
- }
-
- return true;
-}
-
-inline void
-Generator::m_swap(Generator& y) {
- using std::swap;
- swap(expr, y.expr);
- swap(kind_, y.kind_);
- swap(topology_, y.topology_);
- wrapped_expr.set_hide_last(is_not_necessarily_closed());
- y.wrapped_expr.set_hide_last(y.is_not_necessarily_closed());
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Generator */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Specialization, typename Temp, typename To>
-inline bool
-l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- // Generator kind compatibility check: we only compute distances
- // between (closure) points.
- if (x.is_line_or_ray() || y.is_line_or_ray())
- return false;
- const dimension_type x_space_dim = x.space_dimension();
- // Dimension-compatibility check.
- if (x_space_dim != y.space_dimension())
- return false;
-
- // All zero-dim generators have distance zero.
- if (x_space_dim == 0) {
- assign_r(r, 0, ROUND_NOT_NEEDED);
- return true;
- }
-
- PPL_DIRTY_TEMP(mpq_class, x_coord);
- PPL_DIRTY_TEMP(mpq_class, y_coord);
- PPL_DIRTY_TEMP(mpq_class, x_div);
- PPL_DIRTY_TEMP(mpq_class, y_div);
- assign_r(x_div, x.divisor(), ROUND_NOT_NEEDED);
- assign_r(y_div, y.divisor(), ROUND_NOT_NEEDED);
-
- assign_r(tmp0, 0, ROUND_NOT_NEEDED);
- // TODO: This loop can be optimized more, if needed.
- for (dimension_type i = x_space_dim; i-- > 0; ) {
- assign_r(x_coord, x.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- div_assign_r(x_coord, x_coord, x_div, ROUND_NOT_NEEDED);
- assign_r(y_coord, y.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- div_assign_r(y_coord, y_coord, y_div, ROUND_NOT_NEEDED);
- const Temp* tmp1p;
- const Temp* tmp2p;
-
- if (x_coord > y_coord) {
- maybe_assign(tmp1p, tmp1, x_coord, dir);
- maybe_assign(tmp2p, tmp2, y_coord, inverse(dir));
- }
- else {
- maybe_assign(tmp1p, tmp1, y_coord, dir);
- maybe_assign(tmp2p, tmp2, x_coord, inverse(dir));
- }
- sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
- PPL_ASSERT(sgn(tmp1) >= 0);
- Specialization::combine(tmp0, tmp1, dir);
- }
- Specialization::finalize(tmp0, dir);
- assign_r(r, tmp0, dir);
- return true;
-}
-
-/*! \relates Generator */
-template <typename Temp, typename To>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >
- (r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Generator */
-template <typename Temp, typename To>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Generator */
-template <typename To>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
- return rectilinear_distance_assign<To, To>(r, x, y, dir);
-}
-
-/*! \relates Generator */
-template <typename Temp, typename To>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >
- (r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Generator */
-template <typename Temp, typename To>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Generator */
-template <typename To>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
- return euclidean_distance_assign<To, To>(r, x, y, dir);
-}
-
-/*! \relates Generator */
-template <typename Temp, typename To>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >
- (r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Generator */
-template <typename Temp, typename To>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Generator */
-template <typename To>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
- return l_infinity_distance_assign<To, To>(r, x, y, dir);
-}
-
-/*! \relates Generator */
-inline void
-swap(Generator& x, Generator& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Generator_inlines_hh)
diff --git a/src/Generator.types.hh b/src/Generator.types.hh
deleted file mode 100644
index 880876f..0000000
--- a/src/Generator.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Generator_types_hh
-#define PPL_Generator_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Generator;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Generator_types_hh)
diff --git a/src/Generator_System.cc b/src/Generator_System.cc
index 5efd8ce..b203497 100644
--- a/src/Generator_System.cc
+++ b/src/Generator_System.cc
@@ -1,6 +1,6 @@
/* Generator_System class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,11 +22,11 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Generator_System.defs.hh"
-#include "Generator_System.inlines.hh"
-#include "Constraint.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
+#include "Generator_System_defs.hh"
+#include "Generator_System_inlines.hh"
+#include "Constraint_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
#include "assert.hh"
#include <string>
#include <vector>
@@ -38,7 +38,7 @@ namespace PPL = Parma_Polyhedra_Library;
bool
PPL::Generator_System::
adjust_topology_and_space_dimension(const Topology new_topology,
- const dimension_type new_space_dim) {
+ const dimension_type new_space_dim) {
PPL_ASSERT(space_dimension() <= new_space_dim);
if (sys.topology() != new_topology) {
@@ -53,14 +53,15 @@ adjust_topology_and_space_dimension(const Topology new_topology,
// closure points that were matching a point (i.e., those
// that are in the generator system, but are invisible to
// the user).
- Generator_System& gs = *this;
+ const Generator_System& gs = *this;
for (dimension_type i = 0; i < sys.num_rows(); )
if (gs[i].is_closure_point())
sys.remove_row(i, false);
else
++i;
sys.set_necessarily_closed();
- } else {
+ }
+ else {
convert_into_non_necessarily_closed();
}
}
@@ -128,7 +129,7 @@ PPL::Generator_System::has_closure_points() const {
return false;
// Adopt the point of view of the user.
for (Generator_System::const_iterator i = begin(),
- this_end = end(); i != this_end; ++i)
+ this_end = end(); i != this_end; ++i)
if (i->is_closure_point())
return true;
return false;
@@ -160,7 +161,7 @@ PPL::Generator_System::has_points() const {
if (sys.is_necessarily_closed())
for (dimension_type i = sys.num_rows(); i-- > 0; ) {
if (!gs[i].is_line_or_ray())
- return true;
+ return true;
}
else {
// !is_necessarily_closed()
@@ -181,9 +182,9 @@ PPL::Generator_System_const_iterator::skip_forward() {
const Generator& cp = *i;
const Generator& p = *i_next;
if (cp.is_closure_point()
- && p.is_point()
- && cp.is_matching_closure_point(p))
- i = i_next;
+ && p.is_point()
+ && cp.is_matching_closure_point(p))
+ i = i_next;
}
}
}
@@ -226,7 +227,7 @@ PPL::Generator_System::insert(Generator& g, Recycle_Input) {
// (i.e., set the coefficient equal to the divisor).
// Note: normalization is preserved.
if (!g.is_line_or_ray())
- g.set_epsilon_coefficient(g.expr.inhomogeneous_term());
+ g.set_epsilon_coefficient(g.expr.inhomogeneous_term());
// Inserting the new generator.
sys.insert(g, Recycle_Input());
}
@@ -257,7 +258,7 @@ PPL::Generator_System::insert_pending(Generator& g, Recycle_Input) {
// (i.e., set the coefficient equal to the divisor).
// Note: normalization is preserved.
if (!g.is_line_or_ray())
- g.set_epsilon_coefficient(g.expr.inhomogeneous_term());
+ g.set_epsilon_coefficient(g.expr.inhomogeneous_term());
// Inserting the new generator.
sys.insert_pending(g, Recycle_Input());
}
@@ -274,14 +275,14 @@ PPL::Generator_System::num_lines() const {
// If sys happens to be sorted, take advantage of the fact
// that lines are at the top of the system.
if (sys.is_sorted()) {
- dimension_type nrows = sys.num_rows();
+ const dimension_type nrows = sys.num_rows();
for (dimension_type i = 0; i < nrows && gs[i].is_line(); ++i)
++n;
}
else
for (dimension_type i = sys.num_rows(); i-- > 0 ; )
if (gs[i].is_line())
- ++n;
+ ++n;
return n;
}
@@ -298,12 +299,12 @@ PPL::Generator_System::num_rays() const {
if (sys.is_sorted()) {
for (dimension_type i = sys.num_rows(); i != 0 && gs[--i].is_ray_or_point(); )
if (gs[i].is_line_or_ray())
- ++n;
+ ++n;
}
else
for (dimension_type i = sys.num_rows(); i-- > 0 ; )
if (gs[i].is_ray())
- ++n;
+ ++n;
return n;
}
@@ -337,62 +338,62 @@ PPL::Generator_System::relation_with(const Constraint& c) const {
int first_point_or_nonsaturating_ray_sign = 2;
for (dimension_type i = n_rows; i-- > 0; ) {
- const Generator& g = gs[i];
- const int sp_sign = Scalar_Products::sign(c, g);
- // Checking whether the generator saturates the equality.
- // If that is the case, then we have to do something only if
- // the generator is a point.
- if (sp_sign == 0) {
- if (g.is_point()) {
- if (first_point_or_nonsaturating_ray_sign == 2)
- // It is the first time that we find a point and
- // we have not found a non-saturating ray yet.
- first_point_or_nonsaturating_ray_sign = 0;
- else
- // We already found a point or a non-saturating ray.
- if (first_point_or_nonsaturating_ray_sign != 0)
- return Poly_Con_Relation::strictly_intersects();
- }
- }
- else
- // Here we know that sp_sign != 0.
- switch (g.type()) {
-
- case Generator::LINE:
- // If a line does not saturate `c', then there is a strict
- // intersection between the points satisfying `c'
- // and the points generated by `gs'.
- return Poly_Con_Relation::strictly_intersects();
-
- case Generator::RAY:
- if (first_point_or_nonsaturating_ray_sign == 2) {
- // It is the first time that we have a non-saturating ray
- // and we have not found any point yet.
- first_point_or_nonsaturating_ray_sign = sp_sign;
- result = Poly_Con_Relation::is_disjoint();
- }
- else
- // We already found a point or a non-saturating ray.
- if (sp_sign != first_point_or_nonsaturating_ray_sign)
- return Poly_Con_Relation::strictly_intersects();
- break;
-
- case Generator::POINT:
- case Generator::CLOSURE_POINT:
- // NOTE: a non-saturating closure point is treated as
- // a normal point.
- if (first_point_or_nonsaturating_ray_sign == 2) {
- // It is the first time that we find a point and
- // we have not found a non-saturating ray yet.
- first_point_or_nonsaturating_ray_sign = sp_sign;
- result = Poly_Con_Relation::is_disjoint();
- }
- else
- // We already found a point or a non-saturating ray.
- if (sp_sign != first_point_or_nonsaturating_ray_sign)
- return Poly_Con_Relation::strictly_intersects();
- break;
- }
+ const Generator& g = gs[i];
+ const int sp_sign = Scalar_Products::sign(c, g);
+ // Checking whether the generator saturates the equality.
+ // If that is the case, then we have to do something only if
+ // the generator is a point.
+ if (sp_sign == 0) {
+ if (g.is_point()) {
+ if (first_point_or_nonsaturating_ray_sign == 2)
+ // It is the first time that we find a point and
+ // we have not found a non-saturating ray yet.
+ first_point_or_nonsaturating_ray_sign = 0;
+ else
+ // We already found a point or a non-saturating ray.
+ if (first_point_or_nonsaturating_ray_sign != 0)
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ }
+ else
+ // Here we know that sp_sign != 0.
+ switch (g.type()) {
+
+ case Generator::LINE:
+ // If a line does not saturate `c', then there is a strict
+ // intersection between the points satisfying `c'
+ // and the points generated by `gs'.
+ return Poly_Con_Relation::strictly_intersects();
+
+ case Generator::RAY:
+ if (first_point_or_nonsaturating_ray_sign == 2) {
+ // It is the first time that we have a non-saturating ray
+ // and we have not found any point yet.
+ first_point_or_nonsaturating_ray_sign = sp_sign;
+ result = Poly_Con_Relation::is_disjoint();
+ }
+ else
+ // We already found a point or a non-saturating ray.
+ if (sp_sign != first_point_or_nonsaturating_ray_sign)
+ return Poly_Con_Relation::strictly_intersects();
+ break;
+
+ case Generator::POINT:
+ case Generator::CLOSURE_POINT:
+ // NOTE: a non-saturating closure point is treated as
+ // a normal point.
+ if (first_point_or_nonsaturating_ray_sign == 2) {
+ // It is the first time that we find a point and
+ // we have not found a non-saturating ray yet.
+ first_point_or_nonsaturating_ray_sign = sp_sign;
+ result = Poly_Con_Relation::is_disjoint();
+ }
+ else
+ // We already found a point or a non-saturating ray.
+ if (sp_sign != first_point_or_nonsaturating_ray_sign)
+ return Poly_Con_Relation::strictly_intersects();
+ break;
+ }
}
}
break;
@@ -408,103 +409,103 @@ PPL::Generator_System::relation_with(const Constraint& c) const {
bool first_point_or_nonsaturating_ray = true;
for (dimension_type i = n_rows; i-- > 0; ) {
- const Generator& g = gs[i];
- const int sp_sign = Scalar_Products::sign(c, g);
- // Checking whether the generator saturates the non-strict
- // inequality. If that is the case, then we have to do something
- // only if the generator is a point.
- if (sp_sign == 0) {
- if (g.is_point()) {
- if (first_point_or_nonsaturating_ray)
- // It is the first time that we have a point and
- // we have not found a non-saturating ray yet.
- first_point_or_nonsaturating_ray = false;
- else
- // We already found a point or a non-saturating ray before.
- if (result == Poly_Con_Relation::is_disjoint())
- // Since g saturates c, we have a strict intersection if
- // none of the generators seen so far are included in `c'.
- return Poly_Con_Relation::strictly_intersects();
- }
- }
- else
- // Here we know that sp_sign != 0.
- switch (g.type()) {
-
- case Generator::LINE:
- // If a line does not saturate `c', then there is a strict
- // intersection between the points satisfying `c' and
- // the points generated by `gs'.
- return Poly_Con_Relation::strictly_intersects();
-
- case Generator::RAY:
- if (first_point_or_nonsaturating_ray) {
- // It is the first time that we have a non-saturating ray
- // and we have not found any point yet.
- first_point_or_nonsaturating_ray = false;
- result = (sp_sign > 0)
- ? Poly_Con_Relation::is_included()
- : Poly_Con_Relation::is_disjoint();
- }
- else {
- // We already found a point or a non-saturating ray.
- if ((sp_sign > 0
- && result == Poly_Con_Relation::is_disjoint())
- || (sp_sign < 0
- && result.implies(Poly_Con_Relation::is_included())))
- // We have a strict intersection if either:
- // - `g' satisfies `c' but none of the generators seen
- // so far are included in `c'; or
- // - `g' does not satisfy `c' and all the generators
- // seen so far are included in `c'.
- return Poly_Con_Relation::strictly_intersects();
- if (sp_sign > 0)
- // Here all the generators seen so far either saturate
- // or are included in `c'.
- // Since `g' does not saturate `c' ...
- result = Poly_Con_Relation::is_included();
- }
- break;
-
- case Generator::POINT:
- case Generator::CLOSURE_POINT:
- // NOTE: a non-saturating closure point is treated as
- // a normal point.
- if (first_point_or_nonsaturating_ray) {
- // It is the first time that we have a point and
- // we have not found a non-saturating ray yet.
- // - If point `g' saturates `c', then all the generators
- // seen so far saturate `c'.
- // - If point `g' is included (but does not saturate) `c',
- // then all the generators seen so far are included in `c'.
- // - If point `g' does not satisfy `c', then all the
- // generators seen so far are disjoint from `c'.
- first_point_or_nonsaturating_ray = false;
- if (sp_sign > 0)
- result = Poly_Con_Relation::is_included();
- else if (sp_sign < 0)
- result = Poly_Con_Relation::is_disjoint();
- }
- else {
- // We already found a point or a non-saturating ray before.
- if ((sp_sign > 0
- && result == Poly_Con_Relation::is_disjoint())
- || (sp_sign < 0
- && result.implies(Poly_Con_Relation::is_included())))
- // We have a strict intersection if either:
- // - `g' satisfies or saturates `c' but none of the
- // generators seen so far are included in `c'; or
- // - `g' does not satisfy `c' and all the generators
- // seen so far are included in `c'.
- return Poly_Con_Relation::strictly_intersects();
- if (sp_sign > 0)
- // Here all the generators seen so far either saturate
- // or are included in `c'.
- // Since `g' does not saturate `c' ...
- result = Poly_Con_Relation::is_included();
- }
- break;
- }
+ const Generator& g = gs[i];
+ const int sp_sign = Scalar_Products::sign(c, g);
+ // Checking whether the generator saturates the non-strict
+ // inequality. If that is the case, then we have to do something
+ // only if the generator is a point.
+ if (sp_sign == 0) {
+ if (g.is_point()) {
+ if (first_point_or_nonsaturating_ray)
+ // It is the first time that we have a point and
+ // we have not found a non-saturating ray yet.
+ first_point_or_nonsaturating_ray = false;
+ else
+ // We already found a point or a non-saturating ray before.
+ if (result == Poly_Con_Relation::is_disjoint())
+ // Since g saturates c, we have a strict intersection if
+ // none of the generators seen so far are included in `c'.
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ }
+ else
+ // Here we know that sp_sign != 0.
+ switch (g.type()) {
+
+ case Generator::LINE:
+ // If a line does not saturate `c', then there is a strict
+ // intersection between the points satisfying `c' and
+ // the points generated by `gs'.
+ return Poly_Con_Relation::strictly_intersects();
+
+ case Generator::RAY:
+ if (first_point_or_nonsaturating_ray) {
+ // It is the first time that we have a non-saturating ray
+ // and we have not found any point yet.
+ first_point_or_nonsaturating_ray = false;
+ result = (sp_sign > 0)
+ ? Poly_Con_Relation::is_included()
+ : Poly_Con_Relation::is_disjoint();
+ }
+ else {
+ // We already found a point or a non-saturating ray.
+ if ((sp_sign > 0
+ && result == Poly_Con_Relation::is_disjoint())
+ || (sp_sign < 0
+ && result.implies(Poly_Con_Relation::is_included())))
+ // We have a strict intersection if either:
+ // - `g' satisfies `c' but none of the generators seen
+ // so far are included in `c'; or
+ // - `g' does not satisfy `c' and all the generators
+ // seen so far are included in `c'.
+ return Poly_Con_Relation::strictly_intersects();
+ if (sp_sign > 0)
+ // Here all the generators seen so far either saturate
+ // or are included in `c'.
+ // Since `g' does not saturate `c' ...
+ result = Poly_Con_Relation::is_included();
+ }
+ break;
+
+ case Generator::POINT:
+ case Generator::CLOSURE_POINT:
+ // NOTE: a non-saturating closure point is treated as
+ // a normal point.
+ if (first_point_or_nonsaturating_ray) {
+ // It is the first time that we have a point and
+ // we have not found a non-saturating ray yet.
+ // - If point `g' saturates `c', then all the generators
+ // seen so far saturate `c'.
+ // - If point `g' is included (but does not saturate) `c',
+ // then all the generators seen so far are included in `c'.
+ // - If point `g' does not satisfy `c', then all the
+ // generators seen so far are disjoint from `c'.
+ first_point_or_nonsaturating_ray = false;
+ if (sp_sign > 0)
+ result = Poly_Con_Relation::is_included();
+ else if (sp_sign < 0)
+ result = Poly_Con_Relation::is_disjoint();
+ }
+ else {
+ // We already found a point or a non-saturating ray before.
+ if ((sp_sign > 0
+ && result == Poly_Con_Relation::is_disjoint())
+ || (sp_sign < 0
+ && result.implies(Poly_Con_Relation::is_included())))
+ // We have a strict intersection if either:
+ // - `g' satisfies or saturates `c' but none of the
+ // generators seen so far are included in `c'; or
+ // - `g' does not satisfy `c' and all the generators
+ // seen so far are included in `c'.
+ return Poly_Con_Relation::strictly_intersects();
+ if (sp_sign > 0)
+ // Here all the generators seen so far either saturate
+ // or are included in `c'.
+ // Since `g' does not saturate `c' ...
+ result = Poly_Con_Relation::is_included();
+ }
+ break;
+ }
}
}
break;
@@ -519,93 +520,93 @@ PPL::Generator_System::relation_with(const Constraint& c) const {
// non-saturating ray.
bool first_point_or_nonsaturating_ray = true;
for (dimension_type i = n_rows; i-- > 0; ) {
- const Generator& g = gs[i];
- // Using the reduced scalar product operator to avoid
- // both topology and space dimension mismatches.
- const int sp_sign = Scalar_Products::reduced_sign(c, g);
- // Checking whether the generator saturates the strict inequality.
- // If that is the case, then we have to do something
- // only if the generator is a point.
- if (sp_sign == 0) {
- if (g.is_point()) {
- if (first_point_or_nonsaturating_ray)
- // It is the first time that we have a point and
- // we have not found a non-saturating ray yet.
- first_point_or_nonsaturating_ray = false;
- else
- // We already found a point or a non-saturating ray before.
- if (result == Poly_Con_Relation::is_included())
- return Poly_Con_Relation::strictly_intersects();
- }
- }
- else
- // Here we know that sp_sign != 0.
- switch (g.type()) {
-
- case Generator::LINE:
- // If a line does not saturate `c', then there is a strict
- // intersection between the points satisfying `c' and the points
- // generated by `gs'.
- return Poly_Con_Relation::strictly_intersects();
-
- case Generator::RAY:
- if (first_point_or_nonsaturating_ray) {
- // It is the first time that we have a non-saturating ray
- // and we have not found any point yet.
- first_point_or_nonsaturating_ray = false;
- result = (sp_sign > 0)
- ? Poly_Con_Relation::is_included()
- : Poly_Con_Relation::is_disjoint();
- }
- else {
- // We already found a point or a non-saturating ray before.
- if ((sp_sign > 0
- && result.implies(Poly_Con_Relation::is_disjoint()))
- ||
- (sp_sign <= 0
- && result == Poly_Con_Relation::is_included()))
- return Poly_Con_Relation::strictly_intersects();
- if (sp_sign < 0)
- // Here all the generators seen so far either saturate
- // or are disjoint from `c'.
- // Since `g' does not saturate `c' ...
- result = Poly_Con_Relation::is_disjoint();
- }
- break;
-
- case Generator::POINT:
- case Generator::CLOSURE_POINT:
- if (first_point_or_nonsaturating_ray) {
- // It is the first time that we have a point and
- // we have not found a non-saturating ray yet.
- // - If point `g' saturates `c', then all the generators
- // seen so far saturate `c'.
- // - If point `g' is included in (but does not saturate) `c',
- // then all the generators seen so far are included in `c'.
- // - If point `g' strictly violates `c', then all the
- // generators seen so far are disjoint from `c'.
- first_point_or_nonsaturating_ray = false;
- if (sp_sign > 0)
- result = Poly_Con_Relation::is_included();
- else if (sp_sign < 0)
- result = Poly_Con_Relation::is_disjoint();
- }
- else {
- // We already found a point or a non-saturating ray before.
- if ((sp_sign > 0
- && result.implies(Poly_Con_Relation::is_disjoint()))
- ||
- (sp_sign <= 0
- && result == Poly_Con_Relation::is_included()))
- return Poly_Con_Relation::strictly_intersects();
- if (sp_sign < 0)
- // Here all the generators seen so far either saturate
- // or are disjoint from `c'.
- // Since `g' does not saturate `c' ...
- result = Poly_Con_Relation::is_disjoint();
- }
- break;
- }
+ const Generator& g = gs[i];
+ // Using the reduced scalar product operator to avoid
+ // both topology and space dimension mismatches.
+ const int sp_sign = Scalar_Products::reduced_sign(c, g);
+ // Checking whether the generator saturates the strict inequality.
+ // If that is the case, then we have to do something
+ // only if the generator is a point.
+ if (sp_sign == 0) {
+ if (g.is_point()) {
+ if (first_point_or_nonsaturating_ray)
+ // It is the first time that we have a point and
+ // we have not found a non-saturating ray yet.
+ first_point_or_nonsaturating_ray = false;
+ else
+ // We already found a point or a non-saturating ray before.
+ if (result == Poly_Con_Relation::is_included())
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ }
+ else
+ // Here we know that sp_sign != 0.
+ switch (g.type()) {
+
+ case Generator::LINE:
+ // If a line does not saturate `c', then there is a strict
+ // intersection between the points satisfying `c' and the points
+ // generated by `gs'.
+ return Poly_Con_Relation::strictly_intersects();
+
+ case Generator::RAY:
+ if (first_point_or_nonsaturating_ray) {
+ // It is the first time that we have a non-saturating ray
+ // and we have not found any point yet.
+ first_point_or_nonsaturating_ray = false;
+ result = (sp_sign > 0)
+ ? Poly_Con_Relation::is_included()
+ : Poly_Con_Relation::is_disjoint();
+ }
+ else {
+ // We already found a point or a non-saturating ray before.
+ if ((sp_sign > 0
+ && result.implies(Poly_Con_Relation::is_disjoint()))
+ ||
+ (sp_sign <= 0
+ && result == Poly_Con_Relation::is_included()))
+ return Poly_Con_Relation::strictly_intersects();
+ if (sp_sign < 0)
+ // Here all the generators seen so far either saturate
+ // or are disjoint from `c'.
+ // Since `g' does not saturate `c' ...
+ result = Poly_Con_Relation::is_disjoint();
+ }
+ break;
+
+ case Generator::POINT:
+ case Generator::CLOSURE_POINT:
+ if (first_point_or_nonsaturating_ray) {
+ // It is the first time that we have a point and
+ // we have not found a non-saturating ray yet.
+ // - If point `g' saturates `c', then all the generators
+ // seen so far saturate `c'.
+ // - If point `g' is included in (but does not saturate) `c',
+ // then all the generators seen so far are included in `c'.
+ // - If point `g' strictly violates `c', then all the
+ // generators seen so far are disjoint from `c'.
+ first_point_or_nonsaturating_ray = false;
+ if (sp_sign > 0)
+ result = Poly_Con_Relation::is_included();
+ else if (sp_sign < 0)
+ result = Poly_Con_Relation::is_disjoint();
+ }
+ else {
+ // We already found a point or a non-saturating ray before.
+ if ((sp_sign > 0
+ && result.implies(Poly_Con_Relation::is_disjoint()))
+ ||
+ (sp_sign <= 0
+ && result == Poly_Con_Relation::is_included()))
+ return Poly_Con_Relation::strictly_intersects();
+ if (sp_sign < 0)
+ // Here all the generators seen so far either saturate
+ // or are disjoint from `c'.
+ // Since `g' does not saturate `c' ...
+ result = Poly_Con_Relation::is_disjoint();
+ }
+ break;
+ }
}
}
break;
@@ -622,7 +623,7 @@ PPL::Generator_System::satisfied_by_all_generators(const Constraint& c) const {
// Setting `sps' to the appropriate scalar product sign operator.
// This also avoids problems when having _legal_ topology mismatches
// (which could also cause a mismatch in the number of space dimensions).
- Topology_Adjusted_Scalar_Product_Sign sps(c);
+ const Topology_Adjusted_Scalar_Product_Sign sps(c);
const Generator_System& gs = *this;
switch (c.type()) {
@@ -630,7 +631,7 @@ PPL::Generator_System::satisfied_by_all_generators(const Constraint& c) const {
// Equalities must be saturated by all generators.
for (dimension_type i = gs.sys.num_rows(); i-- > 0; )
if (sps(c, gs[i]) != 0)
- return false;
+ return false;
break;
case Constraint::NONSTRICT_INEQUALITY:
// Non-strict inequalities must be saturated by lines and
@@ -639,13 +640,13 @@ PPL::Generator_System::satisfied_by_all_generators(const Constraint& c) const {
const Generator& g = gs[i];
const int sp_sign = sps(c, g);
if (g.is_line()) {
- if (sp_sign != 0)
- return false;
+ if (sp_sign != 0)
+ return false;
}
else
- // `g' is a ray, point or closure point.
- if (sp_sign < 0)
- return false;
+ // `g' is a ray, point or closure point.
+ if (sp_sign < 0)
+ return false;
}
break;
case Constraint::STRICT_INEQUALITY:
@@ -656,18 +657,18 @@ PPL::Generator_System::satisfied_by_all_generators(const Constraint& c) const {
const int sp_sign = sps(c, g);
switch (g.type()) {
case Generator::POINT:
- if (sp_sign <= 0)
- return false;
- break;
+ if (sp_sign <= 0)
+ return false;
+ break;
case Generator::LINE:
- if (sp_sign != 0)
- return false;
- break;
+ if (sp_sign != 0)
+ return false;
+ break;
default:
- // `g' is a ray or closure point.
- if (sp_sign < 0)
- return false;
- break;
+ // `g' is a ray or closure point.
+ if (sp_sign < 0)
+ return false;
+ break;
}
}
break;
@@ -680,8 +681,8 @@ PPL::Generator_System::satisfied_by_all_generators(const Constraint& c) const {
void
PPL::Generator_System
::affine_image(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
Generator_System& x = *this;
PPL_ASSERT(v.space_dimension() <= x.space_dimension());
PPL_ASSERT(expr.space_dimension() <= x.space_dimension());
@@ -759,7 +760,8 @@ PPL::Generator_System::remove_invalid_lines_and_rays() {
if (g.is_line_or_ray() && g.expr.all_homogeneous_terms_are_zero()) {
sys.remove_row(i, false);
set_sorted(false);
- } else
+ }
+ else
++i;
}
}
diff --git a/src/Generator_System.defs.hh b/src/Generator_System.defs.hh
deleted file mode 100644
index b534e61..0000000
--- a/src/Generator_System.defs.hh
+++ /dev/null
@@ -1,744 +0,0 @@
-/* Generator_System class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Generator_System_defs_hh
-#define PPL_Generator_System_defs_hh 1
-
-#include "Generator_System.types.hh"
-
-#include "Linear_Expression.types.hh"
-#include "Linear_System.defs.hh"
-#include "Generator.defs.hh"
-#include "Constraint.types.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Polyhedron.types.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Generator_System
- Writes <CODE>false</CODE> if \p gs is empty. Otherwise, writes on
- \p s the generators of \p gs, all in one row and separated by ", ".
-*/
-std::ostream& operator<<(std::ostream& s, const Generator_System& gs);
-
-} // namespace IO_Operators
-
-// TODO: Consider removing this.
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates Generator_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator==(const Generator_System& x, const Generator_System& y);
-
-// TODO: Consider removing this.
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Generator_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator!=(const Generator_System& x, const Generator_System& y);
-
-/*! \relates Generator_System */
-void
-swap(Generator_System& x, Generator_System& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A system of generators.
-/*! \ingroup PPL_CXX_interface
- An object of the class Generator_System is a system of generators,
- i.e., a multiset of objects of the class Generator
- (lines, rays, points and closure points).
- When inserting generators in a system, space dimensions are automatically
- adjusted so that all the generators in the system are defined
- on the same vector space.
- A system of generators which is meant to define a non-empty
- polyhedron must include at least one point: the reason is that
- lines, rays and closure points need a supporting point
- (lines and rays only specify directions while closure points only
- specify points in the topological closure of the NNC polyhedron).
-
- \par
- In all the examples it is assumed that variables
- <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code defines the line having the same direction
- as the \f$x\f$ axis (i.e., the first Cartesian axis)
- in \f$\Rset^2\f$:
- \code
- Generator_System gs;
- gs.insert(line(x + 0*y));
- \endcode
- As said above, this system of generators corresponds to
- an empty polyhedron, because the line has no supporting point.
- To define a system of generators that does correspond to
- the \f$x\f$ axis, we can add the following code which
- inserts the origin of the space as a point:
- \code
- gs.insert(point(0*x + 0*y));
- \endcode
- Since space dimensions are automatically adjusted, the following
- code obtains the same effect:
- \code
- gs.insert(point(0*x));
- \endcode
- In contrast, if we had added the following code, we would have
- defined a line parallel to the \f$x\f$ axis through
- the point \f$(0, 1)^\transpose \in \Rset^2\f$.
- \code
- gs.insert(point(0*x + 1*y));
- \endcode
-
- \par Example 2
- The following code builds a ray having the same direction as
- the positive part of the \f$x\f$ axis in \f$\Rset^2\f$:
- \code
- Generator_System gs;
- gs.insert(ray(x + 0*y));
- \endcode
- To define a system of generators indeed corresponding to the set
- \f[
- \bigl\{\,
- (x, 0)^\transpose \in \Rset^2
- \bigm|
- x \geq 0
- \,\bigr\},
- \f]
- one just has to add the origin:
- \code
- gs.insert(point(0*x + 0*y));
- \endcode
-
- \par Example 3
- The following code builds a system of generators having four points
- and corresponding to a square in \f$\Rset^2\f$
- (the same as Example 1 for the system of constraints):
- \code
- Generator_System gs;
- gs.insert(point(0*x + 0*y));
- gs.insert(point(0*x + 3*y));
- gs.insert(point(3*x + 0*y));
- gs.insert(point(3*x + 3*y));
- \endcode
-
- \par Example 4
- By using closure points, we can define the \e kernel
- (i.e., the largest open set included in a given set)
- of the square defined in the previous example.
- Note that a supporting point is needed and, for that purpose,
- any inner point could be considered.
- \code
- Generator_System gs;
- gs.insert(point(x + y));
- gs.insert(closure_point(0*x + 0*y));
- gs.insert(closure_point(0*x + 3*y));
- gs.insert(closure_point(3*x + 0*y));
- gs.insert(closure_point(3*x + 3*y));
- \endcode
-
- \par Example 5
- The following code builds a system of generators having two points
- and a ray, corresponding to a half-strip in \f$\Rset^2\f$
- (the same as Example 2 for the system of constraints):
- \code
- Generator_System gs;
- gs.insert(point(0*x + 0*y));
- gs.insert(point(0*x + 1*y));
- gs.insert(ray(x - y));
- \endcode
-
- \note
- After inserting a multiset of generators in a generator system,
- there are no guarantees that an <EM>exact</EM> copy of them
- can be retrieved:
- in general, only an <EM>equivalent</EM> generator system
- will be available, where original generators may have been
- reordered, removed (if they are duplicate or redundant), etc.
-*/
-class Parma_Polyhedra_Library::Generator_System {
-public:
- typedef Generator row_type;
-
- static const Representation default_representation = SPARSE;
-
- //! Default constructor: builds an empty system of generators.
- Generator_System(Representation r = default_representation);
-
- //! Builds the singleton system containing only generator \p g.
- explicit Generator_System(const Generator& g,
- Representation r = default_representation);
-
- //! Ordinary copy constructor.
- //! The new Generator_System will have the same representation as `gs'.
- Generator_System(const Generator_System& gs);
-
- //! Copy constructor with specified representation.
- Generator_System(const Generator_System& gs, Representation r);
-
- //! Destructor.
- ~Generator_System();
-
- //! Assignment operator.
- Generator_System& operator=(const Generator_System& y);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Generator_System can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Sets the space dimension of the rows in the system to \p space_dim .
- void set_space_dimension(dimension_type space_dim);
-
- /*! \brief
- Removes all the generators from the generator system
- and sets its space dimension to 0.
- */
- void clear();
-
- /*! \brief
- Inserts in \p *this a copy of the generator \p g,
- increasing the number of space dimensions if needed.
- */
- void insert(const Generator& g);
-
- /*! \brief
- Inserts in \p *this the generator \p g, stealing its contents and
- increasing the number of space dimensions if needed.
- */
- void insert(Generator& g, Recycle_Input);
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- /*! \brief
- Returns the singleton system containing only Generator::zero_dim_point().
- */
- static const Generator_System& zero_dim_univ();
-
- typedef Generator_System_const_iterator const_iterator;
-
- //! Returns <CODE>true</CODE> if and only if \p *this has no generators.
- bool empty() const;
-
- /*! \brief
- Returns the const_iterator pointing to the first generator,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const_iterator.
- const_iterator end() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
-
- Resizes the matrix of generators using the numbers of rows and columns
- read from \p s, then initializes the coordinates of each generator
- and its type reading the contents from \p s.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Generator_System& y);
-
-private:
-
- bool has_no_rows() const;
-
- //! Removes all the specified dimensions from the generator system.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Permutes the space dimensions of the matrix.
- /*
- \param cycle
- A vector representing a cycle of the permutation according to which the
- columns must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- dimension_type num_rows() const;
-
- //! Adds \p n rows and space dimensions to the system.
- /*!
- \param n
- The number of rows and space dimensions to be added: must be strictly
- positive.
-
- Turns the system \f$M \in \Rset^r \times \Rset^c\f$ into
- the system \f$N \in \Rset^{r+n} \times \Rset^{c+n}\f$
- such that
- \f$N = \bigl(\genfrac{}{}{0pt}{}{0}{M}\genfrac{}{}{0pt}{}{J}{o}\bigr)\f$,
- where \f$J\f$ is the specular image
- of the \f$n \times n\f$ identity matrix.
- */
- void add_universe_rows_and_space_dimensions(dimension_type n);
-
- Topology topology() const;
-
- //! Returns the index of the first pending row.
- dimension_type first_pending_row() const;
-
- //! Sets the index to indicate that the system has no pending rows.
- void unset_pending_rows();
-
- //! Sets the sortedness flag of the system to \p b.
- void set_sorted(bool b);
-
- //! Returns the value of the sortedness flag.
- bool is_sorted() const;
-
- //! Sets the index of the first pending row to \p i.
- void set_index_first_pending_row(dimension_type i);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- the system topology is <CODE>NECESSARILY_CLOSED</CODE>.
- */
- bool is_necessarily_closed() const;
-
- //! Full assignment operator: pending rows are copied as pending.
- void assign_with_pending(const Generator_System& y);
-
- //! Returns the number of rows that are in the pending part of the system.
- dimension_type num_pending_rows() const;
-
- /*! \brief
- Sorts the pending rows and eliminates those that also occur
- in the non-pending part of the system.
- */
- void sort_pending_and_remove_duplicates();
-
- /*! \brief
- Sorts the system, removing duplicates, keeping the saturation
- matrix consistent.
-
- \param sat
- Bit matrix with rows corresponding to the rows of \p *this.
- */
- void sort_and_remove_with_sat(Bit_Matrix& sat);
-
- /*! \brief
- Sorts the non-pending rows (in growing order) and eliminates
- duplicated ones.
- */
- void sort_rows();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is sorted,
- without checking for duplicates.
- */
- bool check_sorted() const;
-
- /*! \brief
- Returns the number of rows in the system
- that represent either lines or equalities.
- */
- dimension_type num_lines_or_equalities() const;
-
- //! Makes the system shrink by removing its i-th row.
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(n).
-
- Otherwise, this method just swaps the i-th row with the last and then
- removes it, so it costs O(1).
- */
- void remove_row(dimension_type i, bool keep_sorted = false);
-
- //! Makes the system shrink by removing the rows in [first,last).
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(num_rows()).
-
- Otherwise, this method just swaps the rows with the last ones and then
- removes them, so it costs O(last - first).
- */
- void remove_rows(dimension_type first, dimension_type last,
- bool keep_sorted = false);
-
- //! Removes the specified rows. The row ordering of remaining rows is
- //! preserved.
- /*!
- \param indexes specifies a list of row indexes.
- It must be sorted.
- */
- void remove_rows(const std::vector<dimension_type>& indexes);
-
- //! Makes the system shrink by removing its \p n trailing rows.
- void remove_trailing_rows(dimension_type n);
-
- //! Minimizes the subsystem of equations contained in \p *this.
- /*!
- This method works only on the equalities of the system:
- the system is required to be partially sorted, so that
- all the equalities are grouped at its top; it is assumed that
- the number of equalities is exactly \p n_lines_or_equalities.
- The method finds a minimal system for the equalities and
- returns its rank, i.e., the number of linearly independent equalities.
- The result is an upper triangular subsystem of equalities:
- for each equality, the pivot is chosen starting from
- the right-most columns.
- */
- dimension_type gauss(dimension_type n_lines_or_equalities);
-
- /*! \brief
- Back-substitutes the coefficients to reduce
- the complexity of the system.
-
- Takes an upper triangular system having \p n_lines_or_equalities rows.
- For each row, starting from the one having the minimum number of
- coefficients different from zero, computes the expression of an element
- as a function of the remaining ones and then substitutes this expression
- in all the other rows.
- */
- void back_substitute(dimension_type n_lines_or_equalities);
-
- //! Strongly normalizes the system.
- void strong_normalize();
-
- /*! \brief
- Assigns to \p *this the result of merging its rows with
- those of \p y, obtaining a sorted system.
-
- Duplicated rows will occur only once in the result.
- On entry, both systems are assumed to be sorted and have
- no pending rows.
- */
- void merge_rows_assign(const Generator_System& y);
-
- //! Adds to \p *this a copy of the rows of \p y.
- /*!
- It is assumed that \p *this has no pending rows.
- */
- void insert(const Generator_System& y);
-
- //! Adds a copy of the rows of `y' to the pending part of `*this'.
- void insert_pending(const Generator_System& r);
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the singleton system containing only Generator::zero_dim_point().
- */
- static const Generator_System* zero_dim_univ_p;
-
- friend class Generator_System_const_iterator;
-
- //! Builds an empty system of generators having the specified topology.
- explicit Generator_System(Topology topol,
- Representation r = default_representation);
-
- /*! \brief
- Builds a system of rays/points on a \p space_dim dimensional space. If
- \p topol is <CODE>NOT_NECESSARILY_CLOSED</CODE> the \f$\epsilon\f$
- dimension is added.
- */
- Generator_System(Topology topol, dimension_type space_dim,
- Representation r = default_representation);
-
- /*! \brief
- Adjusts \p *this so that it matches the \p new_topology and
- \p new_space_dim (adding or removing columns if needed).
- Returns <CODE>false</CODE> if and only if \p topol is
- equal to <CODE>NECESSARILY_CLOSED</CODE> and \p *this
- contains closure points.
- */
- bool adjust_topology_and_space_dimension(Topology new_topology,
- dimension_type new_space_dim);
-
- /*! \brief
- For each unmatched closure point in \p *this, adds the
- corresponding point.
-
- It is assumed that the topology of \p *this
- is <CODE>NOT_NECESSARILY_CLOSED</CODE>.
- */
- void add_corresponding_points();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains one or more points.
- */
- bool has_points() const;
-
- /*! \brief
- For each unmatched point in \p *this, adds the corresponding
- closure point.
-
- It is assumed that the topology of \p *this
- is <CODE>NOT_NECESSARILY_CLOSED</CODE>.
- */
- void add_corresponding_closure_points();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains one or more closure points.
-
- Note: the check for the presence of closure points is
- done under the point of view of the user. Namely, we scan
- the generator system using high-level iterators, so that
- closure points that are matching the corresponding points
- will be disregarded.
- */
- bool has_closure_points() const;
-
- //! Converts this generator system into a non-necessarily closed generator
- //! system.
- void convert_into_non_necessarily_closed();
-
- //! Returns a constant reference to the \p k- th generator of the system.
- const Generator& operator[](dimension_type k) const;
-
- /*! \brief
- Returns the relations holding between the generator system
- and the constraint \p c.
- */
- Parma_Polyhedra_Library::Poly_Con_Relation
- relation_with(const Constraint& c) const;
-
- //! Returns <CODE>true</CODE> if all the generators satisfy \p c.
- bool satisfied_by_all_generators(const Constraint& c) const;
-
- //! Returns <CODE>true</CODE> if all the generators satisfy \p c.
- /*!
- It is assumed that <CODE>c.is_necessarily_closed()</CODE> holds.
- */
- bool satisfied_by_all_generators_C(const Constraint& c) const;
-
- //! Returns <CODE>true</CODE> if all the generators satisfy \p c.
- /*!
- It is assumed that <CODE>c.is_necessarily_closed()</CODE> does not hold.
- */
- bool satisfied_by_all_generators_NNC(const Constraint& c) const;
-
- //! Assigns to a given variable an affine expression.
- /*!
- \param v
- The variable to which the affine transformation is assigned;
-
- \param expr
- The numerator of the affine transformation:
- \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
-
- \param denominator
- The denominator of the affine transformation.
-
- We want to allow affine transformations (see the Introduction) having
- any rational coefficients. Since the coefficients of the
- constraints are integers we must also provide an integer \p denominator
- that will be used as denominator of the affine transformation.
- The denominator is required to be a positive integer.
-
- The affine transformation assigns to each element of the column containing
- the coefficients of v the follow expression:
- \f[
- \frac{\sum_{i = 0}^{n - 1} a_i x_i + b}
- {\mathrm{denominator}}.
- \f]
-
- \p expr is a constant parameter and unaltered by this computation.
- */
- void affine_image(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator);
-
- //! Returns the number of lines of the system.
- dimension_type num_lines() const;
-
- //! Returns the number of rays of the system.
- dimension_type num_rays() const;
-
- //! Removes all the invalid lines and rays.
- /*!
- The invalid lines and rays are those with all
- the homogeneous terms set to zero.
- */
- void remove_invalid_lines_and_rays();
-
- /*! \brief
- Applies Gaussian elimination and back-substitution so as
- to provide a partial simplification of the system of generators.
-
- It is assumed that the system has no pending generators.
- */
- void simplify();
-
- /*! \brief
- Inserts in \p *this a copy of the generator \p g,
- increasing the number of space dimensions if needed.
- It is a pending generator.
- */
- void insert_pending(const Generator& g);
-
- /*! \brief
- Inserts in \p *this the generator \p g, stealing its contents and
- increasing the number of space dimensions if needed.
- It is a pending generator.
- */
- void insert_pending(Generator& g, Recycle_Input);
-
- Linear_System<Generator> sys;
-
- friend bool
- operator==(const Generator_System& x, const Generator_System& y);
-
- friend class Polyhedron;
-};
-
-//! An iterator over a system of generators
-/*! \ingroup PPL_CXX_interface
- A const_iterator is used to provide read-only access
- to each generator contained in an object of Generator_System.
-
- \par Example
- The following code prints the system of generators
- of the polyhedron <CODE>ph</CODE>:
- \code
-const Generator_System& gs = ph.generators();
-for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
- cout << *i << endl;
- \endcode
- The same effect can be obtained more concisely by using
- more features of the STL:
- \code
-const Generator_System& gs = ph.generators();
-copy(gs.begin(), gs.end(), ostream_iterator<Generator>(cout, "\n"));
- \endcode
-*/
-class Parma_Polyhedra_Library::Generator_System_const_iterator
- : public std::iterator<std::forward_iterator_tag,
- Generator,
- ptrdiff_t,
- const Generator*,
- const Generator&> {
-public:
- //! Default constructor.
- Generator_System_const_iterator();
-
- //! Ordinary copy constructor.
- Generator_System_const_iterator(const Generator_System_const_iterator& y);
-
- //! Destructor.
- ~Generator_System_const_iterator();
-
- //! Assignment operator.
- Generator_System_const_iterator& operator=(const Generator_System_const_iterator& y);
-
- //! Dereference operator.
- const Generator& operator*() const;
-
- //! Indirect member selector.
- const Generator* operator->() const;
-
- //! Prefix increment operator.
- Generator_System_const_iterator& operator++();
-
- //! Postfix increment operator.
- Generator_System_const_iterator operator++(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are identical.
- */
- bool operator==(const Generator_System_const_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are different.
- */
- bool operator!=(const Generator_System_const_iterator& y) const;
-
-private:
- friend class Generator_System;
-
- //! The const iterator over the Linear_System.
- Linear_System<Generator>::const_iterator i;
-
- //! A const pointer to the Linear_System.
- const Linear_System<Generator>* gsp;
-
- //! Constructor.
- Generator_System_const_iterator(const Linear_System<Generator>::const_iterator& iter,
- const Generator_System& gsys);
-
- /*! \brief
- \p *this skips to the next generator, skipping those
- closure points that are immediately followed by a matching point.
- */
- void skip_forward();
-};
-
-// Generator_System.inlines.hh is not included here on purpose.
-
-#endif // !defined(PPL_Generator_System_defs_hh)
diff --git a/src/Generator_System.inlines.hh b/src/Generator_System.inlines.hh
deleted file mode 100644
index de4bb92..0000000
--- a/src/Generator_System.inlines.hh
+++ /dev/null
@@ -1,411 +0,0 @@
-/* Generator_System class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Generator_System_inlines_hh
-#define PPL_Generator_System_inlines_hh 1
-
-#include "Generator.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Generator_System::Generator_System(Representation r)
- : sys(NECESSARILY_CLOSED, r) {
-}
-
-inline
-Generator_System::Generator_System(const Generator& g, Representation r)
- : sys(g.topology(), r) {
- sys.insert(g);
-}
-
-inline
-Generator_System::Generator_System(const Generator_System& gs)
- : sys(gs.sys) {
-}
-
-inline
-Generator_System::Generator_System(const Generator_System& gs,
- Representation r)
- : sys(gs.sys, r) {
-}
-
-inline
-Generator_System::Generator_System(const Topology topol, Representation r)
- : sys(topol, r) {
-}
-
-inline
-Generator_System::Generator_System(const Topology topol,
- const dimension_type space_dim,
- Representation r)
- : sys(topol, space_dim, r) {
-}
-
-inline
-Generator_System::~Generator_System() {
-}
-
-inline Generator_System&
-Generator_System::operator=(const Generator_System& y) {
- Generator_System tmp = y;
- swap(*this, tmp);
- return *this;
-}
-
-inline Representation
-Generator_System::representation() const {
- return sys.representation();
-}
-
-inline void
-Generator_System::set_representation(Representation r) {
- sys.set_representation(r);
-}
-
-inline dimension_type
-Generator_System::max_space_dimension() {
- return Linear_System<Generator>::max_space_dimension();
-}
-
-inline dimension_type
-Generator_System::space_dimension() const {
- return sys.space_dimension();
-}
-
-inline void
-Generator_System::set_space_dimension(dimension_type space_dim) {
- const dimension_type old_space_dim = space_dimension();
- sys.set_space_dimension_no_ok(space_dim);
-
- if (space_dim < old_space_dim)
- // We may have invalid lines and rays now.
- remove_invalid_lines_and_rays();
-
-#ifndef NDEBUG
- for (dimension_type i = 0; i < sys.num_rows(); ++i)
- PPL_ASSERT(sys[i].OK());
-#endif
- PPL_ASSERT(sys.OK());
- PPL_ASSERT(OK());
-}
-
-inline void
-Generator_System::clear() {
- sys.clear();
-}
-
-inline const Generator&
-Generator_System::operator[](const dimension_type k) const {
- return sys[k];
-}
-
-inline void
-Generator_System
-::remove_space_dimensions(const Variables_Set& vars) {
- sys.remove_space_dimensions(vars);
-}
-
-inline void
-Generator_System
-::shift_space_dimensions(Variable v, dimension_type n) {
- sys.shift_space_dimensions(v, n);
-}
-
-inline void
-Generator_System
-::permute_space_dimensions(const std::vector<Variable>& cycle) {
- sys.permute_space_dimensions(cycle);
-}
-
-inline void
-Generator_System
-::swap_space_dimensions(Variable v1, Variable v2) {
- sys.swap_space_dimensions(v1, v2);
-}
-
-inline dimension_type
-Generator_System::num_rows() const {
- return sys.num_rows();
-}
-
-inline void
-Generator_System::add_universe_rows_and_space_dimensions(dimension_type n) {
- sys.add_universe_rows_and_space_dimensions(n);
-}
-
-inline Topology
-Generator_System::topology() const {
- return sys.topology();
-}
-
-inline dimension_type
-Generator_System::first_pending_row() const {
- return sys.first_pending_row();
-}
-
-inline void
-Generator_System::unset_pending_rows() {
- sys.unset_pending_rows();
-}
-
-inline void
-Generator_System::set_sorted(bool b) {
- sys.set_sorted(b);
-}
-
-inline bool
-Generator_System::is_sorted() const {
- return sys.is_sorted();
-}
-
-inline void
-Generator_System::set_index_first_pending_row(dimension_type i) {
- sys.set_index_first_pending_row(i);
-}
-
-inline bool
-Generator_System::is_necessarily_closed() const {
- return sys.is_necessarily_closed();
-}
-
-inline void
-Generator_System::assign_with_pending(const Generator_System& y) {
- sys.assign_with_pending(y.sys);
-}
-
-inline dimension_type
-Generator_System::num_pending_rows() const {
- return sys.num_pending_rows();
-}
-
-inline void
-Generator_System::sort_pending_and_remove_duplicates() {
- return sys.sort_pending_and_remove_duplicates();
-}
-
-inline void
-Generator_System::sort_and_remove_with_sat(Bit_Matrix& sat) {
- sys.sort_and_remove_with_sat(sat);
-}
-
-inline void
-Generator_System::sort_rows() {
- sys.sort_rows();
-}
-
-inline bool
-Generator_System::check_sorted() const {
- return sys.check_sorted();
-}
-
-inline dimension_type
-Generator_System::num_lines_or_equalities() const {
- return sys.num_lines_or_equalities();
-}
-
-inline void
-Generator_System::remove_row(dimension_type i, bool keep_sorted) {
- sys.remove_row(i, keep_sorted);
-}
-
-inline void
-Generator_System::remove_rows(dimension_type first, dimension_type last,
- bool keep_sorted) {
- sys.remove_rows(first, last, keep_sorted);
-}
-
-inline void
-Generator_System::remove_rows(const std::vector<dimension_type>& indexes) {
- sys.remove_rows(indexes);
-}
-
-inline void
-Generator_System::remove_trailing_rows(dimension_type n) {
- sys.remove_trailing_rows(n);
-}
-
-inline dimension_type
-Generator_System::gauss(dimension_type n_lines_or_equalities) {
- return sys.gauss(n_lines_or_equalities);
-}
-
-inline void
-Generator_System::back_substitute(dimension_type n_lines_or_equalities) {
- sys.back_substitute(n_lines_or_equalities);
-}
-
-inline void
-Generator_System::strong_normalize() {
- sys.strong_normalize();
-}
-
-inline void
-Generator_System::merge_rows_assign(const Generator_System& y) {
- sys.merge_rows_assign(y.sys);
-}
-
-inline void
-Generator_System::insert(const Generator_System& y) {
- sys.insert(y.sys);
-}
-
-inline void
-Generator_System::insert_pending(const Generator_System& r) {
- sys.insert_pending(r.sys);
-}
-
-inline bool
-operator==(const Generator_System& x, const Generator_System& y) {
- return x.sys == y.sys;
-}
-
-inline bool
-operator!=(const Generator_System& x, const Generator_System& y) {
- return !(x == y);
-}
-
-inline
-Generator_System_const_iterator::Generator_System_const_iterator()
- : i(), gsp(0) {
-}
-
-inline
-Generator_System_const_iterator::Generator_System_const_iterator(const Generator_System_const_iterator& y)
- : i(y.i), gsp(y.gsp) {
-}
-
-inline
-Generator_System_const_iterator::~Generator_System_const_iterator() {
-}
-
-inline
-Generator_System_const_iterator&
-Generator_System_const_iterator::operator=(const Generator_System_const_iterator& y) {
- i = y.i;
- gsp = y.gsp;
- return *this;
-}
-
-inline const Generator&
-Generator_System_const_iterator::operator*() const {
- return *i;
-}
-
-inline const Generator*
-Generator_System_const_iterator::operator->() const {
- return i.operator->();
-}
-
-inline Generator_System_const_iterator&
-Generator_System_const_iterator::operator++() {
- ++i;
- if (!gsp->is_necessarily_closed())
- skip_forward();
- return *this;
-}
-
-inline Generator_System_const_iterator
-Generator_System_const_iterator::operator++(int) {
- const Generator_System_const_iterator tmp = *this;
- operator++();
- return tmp;
-}
-
-inline bool
-Generator_System_const_iterator::operator==(const Generator_System_const_iterator& y) const {
- return i == y.i;
-}
-
-inline bool
-Generator_System_const_iterator::operator!=(const Generator_System_const_iterator& y) const {
- return i != y.i;
-}
-
-inline
-Generator_System_const_iterator::
-Generator_System_const_iterator(const Linear_System<Generator>::const_iterator& iter,
- const Generator_System& gs)
- : i(iter), gsp(&gs.sys) {
-}
-
-inline bool
-Generator_System::empty() const {
- return sys.has_no_rows();
-}
-
-inline bool
-Generator_System::has_no_rows() const {
- return sys.has_no_rows();
-}
-
-inline Generator_System::const_iterator
-Generator_System::begin() const {
- const_iterator i(sys.begin(), *this);
- if (!sys.is_necessarily_closed())
- i.skip_forward();
- return i;
-}
-
-inline Generator_System::const_iterator
-Generator_System::end() const {
- const const_iterator i(sys.end(), *this);
- return i;
-}
-
-inline const Generator_System&
-Generator_System::zero_dim_univ() {
- PPL_ASSERT(zero_dim_univ_p != 0);
- return *zero_dim_univ_p;
-}
-
-inline void
-Generator_System::m_swap(Generator_System& y) {
- swap(sys, y.sys);
-}
-
-inline memory_size_type
-Generator_System::external_memory_in_bytes() const {
- return sys.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Generator_System::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-inline void
-Generator_System::simplify() {
- sys.simplify();
- remove_invalid_lines_and_rays();
-}
-
-/*! \relates Generator_System */
-inline void
-swap(Generator_System& x, Generator_System& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Generator_System_inlines_hh)
diff --git a/src/Generator_System.types.hh b/src/Generator_System.types.hh
deleted file mode 100644
index de9a9ed..0000000
--- a/src/Generator_System.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Generator_System_types_hh
-#define PPL_Generator_System_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Generator_System;
-class Generator_System_const_iterator;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Generator_System_types_hh)
diff --git a/src/Generator_System_defs.hh b/src/Generator_System_defs.hh
new file mode 100644
index 0000000..b93e929
--- /dev/null
+++ b/src/Generator_System_defs.hh
@@ -0,0 +1,744 @@
+/* Generator_System class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Generator_System_defs_hh
+#define PPL_Generator_System_defs_hh 1
+
+#include "Generator_System_types.hh"
+
+#include "Linear_Expression_types.hh"
+#include "Linear_System_defs.hh"
+#include "Generator_defs.hh"
+#include "Constraint_types.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Polyhedron_types.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Generator_System
+ Writes <CODE>false</CODE> if \p gs is empty. Otherwise, writes on
+ \p s the generators of \p gs, all in one row and separated by ", ".
+*/
+std::ostream& operator<<(std::ostream& s, const Generator_System& gs);
+
+} // namespace IO_Operators
+
+// TODO: Consider removing this.
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates Generator_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator==(const Generator_System& x, const Generator_System& y);
+
+// TODO: Consider removing this.
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Generator_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator!=(const Generator_System& x, const Generator_System& y);
+
+/*! \relates Generator_System */
+void
+swap(Generator_System& x, Generator_System& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A system of generators.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Generator_System is a system of generators,
+ i.e., a multiset of objects of the class Generator
+ (lines, rays, points and closure points).
+ When inserting generators in a system, space dimensions are automatically
+ adjusted so that all the generators in the system are defined
+ on the same vector space.
+ A system of generators which is meant to define a non-empty
+ polyhedron must include at least one point: the reason is that
+ lines, rays and closure points need a supporting point
+ (lines and rays only specify directions while closure points only
+ specify points in the topological closure of the NNC polyhedron).
+
+ \par
+ In all the examples it is assumed that variables
+ <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code defines the line having the same direction
+ as the \f$x\f$ axis (i.e., the first Cartesian axis)
+ in \f$\Rset^2\f$:
+ \code
+ Generator_System gs;
+ gs.insert(line(x + 0*y));
+ \endcode
+ As said above, this system of generators corresponds to
+ an empty polyhedron, because the line has no supporting point.
+ To define a system of generators that does correspond to
+ the \f$x\f$ axis, we can add the following code which
+ inserts the origin of the space as a point:
+ \code
+ gs.insert(point(0*x + 0*y));
+ \endcode
+ Since space dimensions are automatically adjusted, the following
+ code obtains the same effect:
+ \code
+ gs.insert(point(0*x));
+ \endcode
+ In contrast, if we had added the following code, we would have
+ defined a line parallel to the \f$x\f$ axis through
+ the point \f$(0, 1)^\transpose \in \Rset^2\f$.
+ \code
+ gs.insert(point(0*x + 1*y));
+ \endcode
+
+ \par Example 2
+ The following code builds a ray having the same direction as
+ the positive part of the \f$x\f$ axis in \f$\Rset^2\f$:
+ \code
+ Generator_System gs;
+ gs.insert(ray(x + 0*y));
+ \endcode
+ To define a system of generators indeed corresponding to the set
+ \f[
+ \bigl\{\,
+ (x, 0)^\transpose \in \Rset^2
+ \bigm|
+ x \geq 0
+ \,\bigr\},
+ \f]
+ one just has to add the origin:
+ \code
+ gs.insert(point(0*x + 0*y));
+ \endcode
+
+ \par Example 3
+ The following code builds a system of generators having four points
+ and corresponding to a square in \f$\Rset^2\f$
+ (the same as Example 1 for the system of constraints):
+ \code
+ Generator_System gs;
+ gs.insert(point(0*x + 0*y));
+ gs.insert(point(0*x + 3*y));
+ gs.insert(point(3*x + 0*y));
+ gs.insert(point(3*x + 3*y));
+ \endcode
+
+ \par Example 4
+ By using closure points, we can define the \e kernel
+ (i.e., the largest open set included in a given set)
+ of the square defined in the previous example.
+ Note that a supporting point is needed and, for that purpose,
+ any inner point could be considered.
+ \code
+ Generator_System gs;
+ gs.insert(point(x + y));
+ gs.insert(closure_point(0*x + 0*y));
+ gs.insert(closure_point(0*x + 3*y));
+ gs.insert(closure_point(3*x + 0*y));
+ gs.insert(closure_point(3*x + 3*y));
+ \endcode
+
+ \par Example 5
+ The following code builds a system of generators having two points
+ and a ray, corresponding to a half-strip in \f$\Rset^2\f$
+ (the same as Example 2 for the system of constraints):
+ \code
+ Generator_System gs;
+ gs.insert(point(0*x + 0*y));
+ gs.insert(point(0*x + 1*y));
+ gs.insert(ray(x - y));
+ \endcode
+
+ \note
+ After inserting a multiset of generators in a generator system,
+ there are no guarantees that an <EM>exact</EM> copy of them
+ can be retrieved:
+ in general, only an <EM>equivalent</EM> generator system
+ will be available, where original generators may have been
+ reordered, removed (if they are duplicate or redundant), etc.
+*/
+class Parma_Polyhedra_Library::Generator_System {
+public:
+ typedef Generator row_type;
+
+ static const Representation default_representation = SPARSE;
+
+ //! Default constructor: builds an empty system of generators.
+ Generator_System(Representation r = default_representation);
+
+ //! Builds the singleton system containing only generator \p g.
+ explicit Generator_System(const Generator& g,
+ Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ //! The new Generator_System will have the same representation as `gs'.
+ Generator_System(const Generator_System& gs);
+
+ //! Copy constructor with specified representation.
+ Generator_System(const Generator_System& gs, Representation r);
+
+ //! Destructor.
+ ~Generator_System();
+
+ //! Assignment operator.
+ Generator_System& operator=(const Generator_System& y);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Generator_System can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ void set_space_dimension(dimension_type space_dim);
+
+ /*! \brief
+ Removes all the generators from the generator system
+ and sets its space dimension to 0.
+ */
+ void clear();
+
+ /*! \brief
+ Inserts in \p *this a copy of the generator \p g,
+ increasing the number of space dimensions if needed.
+ */
+ void insert(const Generator& g);
+
+ /*! \brief
+ Inserts in \p *this the generator \p g, stealing its contents and
+ increasing the number of space dimensions if needed.
+ */
+ void insert(Generator& g, Recycle_Input);
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ /*! \brief
+ Returns the singleton system containing only Generator::zero_dim_point().
+ */
+ static const Generator_System& zero_dim_univ();
+
+ typedef Generator_System_const_iterator const_iterator;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this has no generators.
+ bool empty() const;
+
+ /*! \brief
+ Returns the const_iterator pointing to the first generator,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const_iterator.
+ const_iterator end() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+
+ Resizes the matrix of generators using the numbers of rows and columns
+ read from \p s, then initializes the coordinates of each generator
+ and its type reading the contents from \p s.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Generator_System& y);
+
+private:
+
+ bool has_no_rows() const;
+
+ //! Removes all the specified dimensions from the generator system.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Permutes the space dimensions of the matrix.
+ /*
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ columns must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ dimension_type num_rows() const;
+
+ //! Adds \p n rows and space dimensions to the system.
+ /*!
+ \param n
+ The number of rows and space dimensions to be added: must be strictly
+ positive.
+
+ Turns the system \f$M \in \Rset^r \times \Rset^c\f$ into
+ the system \f$N \in \Rset^{r+n} \times \Rset^{c+n}\f$
+ such that
+ \f$N = \bigl(\genfrac{}{}{0pt}{}{0}{M}\genfrac{}{}{0pt}{}{J}{o}\bigr)\f$,
+ where \f$J\f$ is the specular image
+ of the \f$n \times n\f$ identity matrix.
+ */
+ void add_universe_rows_and_space_dimensions(dimension_type n);
+
+ Topology topology() const;
+
+ //! Returns the index of the first pending row.
+ dimension_type first_pending_row() const;
+
+ //! Sets the index to indicate that the system has no pending rows.
+ void unset_pending_rows();
+
+ //! Sets the sortedness flag of the system to \p b.
+ void set_sorted(bool b);
+
+ //! Returns the value of the sortedness flag.
+ bool is_sorted() const;
+
+ //! Sets the index of the first pending row to \p i.
+ void set_index_first_pending_row(dimension_type i);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ the system topology is <CODE>NECESSARILY_CLOSED</CODE>.
+ */
+ bool is_necessarily_closed() const;
+
+ //! Full assignment operator: pending rows are copied as pending.
+ void assign_with_pending(const Generator_System& y);
+
+ //! Returns the number of rows that are in the pending part of the system.
+ dimension_type num_pending_rows() const;
+
+ /*! \brief
+ Sorts the pending rows and eliminates those that also occur
+ in the non-pending part of the system.
+ */
+ void sort_pending_and_remove_duplicates();
+
+ /*! \brief
+ Sorts the system, removing duplicates, keeping the saturation
+ matrix consistent.
+
+ \param sat
+ Bit matrix with rows corresponding to the rows of \p *this.
+ */
+ void sort_and_remove_with_sat(Bit_Matrix& sat);
+
+ /*! \brief
+ Sorts the non-pending rows (in growing order) and eliminates
+ duplicated ones.
+ */
+ void sort_rows();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is sorted,
+ without checking for duplicates.
+ */
+ bool check_sorted() const;
+
+ /*! \brief
+ Returns the number of rows in the system
+ that represent either lines or equalities.
+ */
+ dimension_type num_lines_or_equalities() const;
+
+ //! Makes the system shrink by removing its i-th row.
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(n).
+
+ Otherwise, this method just swaps the i-th row with the last and then
+ removes it, so it costs O(1).
+ */
+ void remove_row(dimension_type i, bool keep_sorted = false);
+
+ //! Makes the system shrink by removing the rows in [first,last).
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(num_rows()).
+
+ Otherwise, this method just swaps the rows with the last ones and then
+ removes them, so it costs O(last - first).
+ */
+ void remove_rows(dimension_type first, dimension_type last,
+ bool keep_sorted = false);
+
+ //! Removes the specified rows. The row ordering of remaining rows is
+ //! preserved.
+ /*!
+ \param indexes specifies a list of row indexes.
+ It must be sorted.
+ */
+ void remove_rows(const std::vector<dimension_type>& indexes);
+
+ //! Makes the system shrink by removing its \p n trailing rows.
+ void remove_trailing_rows(dimension_type n);
+
+ //! Minimizes the subsystem of equations contained in \p *this.
+ /*!
+ This method works only on the equalities of the system:
+ the system is required to be partially sorted, so that
+ all the equalities are grouped at its top; it is assumed that
+ the number of equalities is exactly \p n_lines_or_equalities.
+ The method finds a minimal system for the equalities and
+ returns its rank, i.e., the number of linearly independent equalities.
+ The result is an upper triangular subsystem of equalities:
+ for each equality, the pivot is chosen starting from
+ the right-most columns.
+ */
+ dimension_type gauss(dimension_type n_lines_or_equalities);
+
+ /*! \brief
+ Back-substitutes the coefficients to reduce
+ the complexity of the system.
+
+ Takes an upper triangular system having \p n_lines_or_equalities rows.
+ For each row, starting from the one having the minimum number of
+ coefficients different from zero, computes the expression of an element
+ as a function of the remaining ones and then substitutes this expression
+ in all the other rows.
+ */
+ void back_substitute(dimension_type n_lines_or_equalities);
+
+ //! Strongly normalizes the system.
+ void strong_normalize();
+
+ /*! \brief
+ Assigns to \p *this the result of merging its rows with
+ those of \p y, obtaining a sorted system.
+
+ Duplicated rows will occur only once in the result.
+ On entry, both systems are assumed to be sorted and have
+ no pending rows.
+ */
+ void merge_rows_assign(const Generator_System& y);
+
+ //! Adds to \p *this a copy of the rows of \p y.
+ /*!
+ It is assumed that \p *this has no pending rows.
+ */
+ void insert(const Generator_System& y);
+
+ //! Adds a copy of the rows of `y' to the pending part of `*this'.
+ void insert_pending(const Generator_System& r);
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the singleton system containing only Generator::zero_dim_point().
+ */
+ static const Generator_System* zero_dim_univ_p;
+
+ friend class Generator_System_const_iterator;
+
+ //! Builds an empty system of generators having the specified topology.
+ explicit Generator_System(Topology topol,
+ Representation r = default_representation);
+
+ /*! \brief
+ Builds a system of rays/points on a \p space_dim dimensional space. If
+ \p topol is <CODE>NOT_NECESSARILY_CLOSED</CODE> the \f$\epsilon\f$
+ dimension is added.
+ */
+ Generator_System(Topology topol, dimension_type space_dim,
+ Representation r = default_representation);
+
+ /*! \brief
+ Adjusts \p *this so that it matches the \p new_topology and
+ \p new_space_dim (adding or removing columns if needed).
+ Returns <CODE>false</CODE> if and only if \p topol is
+ equal to <CODE>NECESSARILY_CLOSED</CODE> and \p *this
+ contains closure points.
+ */
+ bool adjust_topology_and_space_dimension(Topology new_topology,
+ dimension_type new_space_dim);
+
+ /*! \brief
+ For each unmatched closure point in \p *this, adds the
+ corresponding point.
+
+ It is assumed that the topology of \p *this
+ is <CODE>NOT_NECESSARILY_CLOSED</CODE>.
+ */
+ void add_corresponding_points();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains one or more points.
+ */
+ bool has_points() const;
+
+ /*! \brief
+ For each unmatched point in \p *this, adds the corresponding
+ closure point.
+
+ It is assumed that the topology of \p *this
+ is <CODE>NOT_NECESSARILY_CLOSED</CODE>.
+ */
+ void add_corresponding_closure_points();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains one or more closure points.
+
+ Note: the check for the presence of closure points is
+ done under the point of view of the user. Namely, we scan
+ the generator system using high-level iterators, so that
+ closure points that are matching the corresponding points
+ will be disregarded.
+ */
+ bool has_closure_points() const;
+
+ //! Converts this generator system into a non-necessarily closed generator
+ //! system.
+ void convert_into_non_necessarily_closed();
+
+ //! Returns a constant reference to the \p k- th generator of the system.
+ const Generator& operator[](dimension_type k) const;
+
+ /*! \brief
+ Returns the relations holding between the generator system
+ and the constraint \p c.
+ */
+ Parma_Polyhedra_Library::Poly_Con_Relation
+ relation_with(const Constraint& c) const;
+
+ //! Returns <CODE>true</CODE> if all the generators satisfy \p c.
+ bool satisfied_by_all_generators(const Constraint& c) const;
+
+ //! Returns <CODE>true</CODE> if all the generators satisfy \p c.
+ /*!
+ It is assumed that <CODE>c.is_necessarily_closed()</CODE> holds.
+ */
+ bool satisfied_by_all_generators_C(const Constraint& c) const;
+
+ //! Returns <CODE>true</CODE> if all the generators satisfy \p c.
+ /*!
+ It is assumed that <CODE>c.is_necessarily_closed()</CODE> does not hold.
+ */
+ bool satisfied_by_all_generators_NNC(const Constraint& c) const;
+
+ //! Assigns to a given variable an affine expression.
+ /*!
+ \param v
+ The variable to which the affine transformation is assigned;
+
+ \param expr
+ The numerator of the affine transformation:
+ \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
+
+ \param denominator
+ The denominator of the affine transformation.
+
+ We want to allow affine transformations (see the Introduction) having
+ any rational coefficients. Since the coefficients of the
+ constraints are integers we must also provide an integer \p denominator
+ that will be used as denominator of the affine transformation.
+ The denominator is required to be a positive integer.
+
+ The affine transformation assigns to each element of the column containing
+ the coefficients of v the follow expression:
+ \f[
+ \frac{\sum_{i = 0}^{n - 1} a_i x_i + b}
+ {\mathrm{denominator}}.
+ \f]
+
+ \p expr is a constant parameter and unaltered by this computation.
+ */
+ void affine_image(Variable v,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator);
+
+ //! Returns the number of lines of the system.
+ dimension_type num_lines() const;
+
+ //! Returns the number of rays of the system.
+ dimension_type num_rays() const;
+
+ //! Removes all the invalid lines and rays.
+ /*!
+ The invalid lines and rays are those with all
+ the homogeneous terms set to zero.
+ */
+ void remove_invalid_lines_and_rays();
+
+ /*! \brief
+ Applies Gaussian elimination and back-substitution so as
+ to provide a partial simplification of the system of generators.
+
+ It is assumed that the system has no pending generators.
+ */
+ void simplify();
+
+ /*! \brief
+ Inserts in \p *this a copy of the generator \p g,
+ increasing the number of space dimensions if needed.
+ It is a pending generator.
+ */
+ void insert_pending(const Generator& g);
+
+ /*! \brief
+ Inserts in \p *this the generator \p g, stealing its contents and
+ increasing the number of space dimensions if needed.
+ It is a pending generator.
+ */
+ void insert_pending(Generator& g, Recycle_Input);
+
+ Linear_System<Generator> sys;
+
+ friend bool
+ operator==(const Generator_System& x, const Generator_System& y);
+
+ friend class Polyhedron;
+};
+
+//! An iterator over a system of generators
+/*! \ingroup PPL_CXX_interface
+ A const_iterator is used to provide read-only access
+ to each generator contained in an object of Generator_System.
+
+ \par Example
+ The following code prints the system of generators
+ of the polyhedron <CODE>ph</CODE>:
+ \code
+const Generator_System& gs = ph.generators();
+for (Generator_System::const_iterator i = gs.begin(),
+ gs_end = gs.end(); i != gs_end; ++i)
+ cout << *i << endl;
+ \endcode
+ The same effect can be obtained more concisely by using
+ more features of the STL:
+ \code
+const Generator_System& gs = ph.generators();
+copy(gs.begin(), gs.end(), ostream_iterator<Generator>(cout, "\n"));
+ \endcode
+*/
+class Parma_Polyhedra_Library::Generator_System_const_iterator
+ : public std::iterator<std::forward_iterator_tag,
+ Generator,
+ ptrdiff_t,
+ const Generator*,
+ const Generator&> {
+public:
+ //! Default constructor.
+ Generator_System_const_iterator();
+
+ //! Ordinary copy constructor.
+ Generator_System_const_iterator(const Generator_System_const_iterator& y);
+
+ //! Destructor.
+ ~Generator_System_const_iterator();
+
+ //! Assignment operator.
+ Generator_System_const_iterator& operator=(const Generator_System_const_iterator& y);
+
+ //! Dereference operator.
+ const Generator& operator*() const;
+
+ //! Indirect member selector.
+ const Generator* operator->() const;
+
+ //! Prefix increment operator.
+ Generator_System_const_iterator& operator++();
+
+ //! Postfix increment operator.
+ Generator_System_const_iterator operator++(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are identical.
+ */
+ bool operator==(const Generator_System_const_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are different.
+ */
+ bool operator!=(const Generator_System_const_iterator& y) const;
+
+private:
+ friend class Generator_System;
+
+ //! The const iterator over the Linear_System.
+ Linear_System<Generator>::const_iterator i;
+
+ //! A const pointer to the Linear_System.
+ const Linear_System<Generator>* gsp;
+
+ //! Constructor.
+ Generator_System_const_iterator(const Linear_System<Generator>::const_iterator& iter,
+ const Generator_System& gsys);
+
+ /*! \brief
+ \p *this skips to the next generator, skipping those
+ closure points that are immediately followed by a matching point.
+ */
+ void skip_forward();
+};
+
+// Generator_System_inlines.hh is not included here on purpose.
+
+#endif // !defined(PPL_Generator_System_defs_hh)
diff --git a/src/Generator_System_inlines.hh b/src/Generator_System_inlines.hh
new file mode 100644
index 0000000..bd4cb43
--- /dev/null
+++ b/src/Generator_System_inlines.hh
@@ -0,0 +1,411 @@
+/* Generator_System class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Generator_System_inlines_hh
+#define PPL_Generator_System_inlines_hh 1
+
+#include "Generator_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Generator_System::Generator_System(Representation r)
+ : sys(NECESSARILY_CLOSED, r) {
+}
+
+inline
+Generator_System::Generator_System(const Generator& g, Representation r)
+ : sys(g.topology(), r) {
+ sys.insert(g);
+}
+
+inline
+Generator_System::Generator_System(const Generator_System& gs)
+ : sys(gs.sys) {
+}
+
+inline
+Generator_System::Generator_System(const Generator_System& gs,
+ Representation r)
+ : sys(gs.sys, r) {
+}
+
+inline
+Generator_System::Generator_System(const Topology topol, Representation r)
+ : sys(topol, r) {
+}
+
+inline
+Generator_System::Generator_System(const Topology topol,
+ const dimension_type space_dim,
+ Representation r)
+ : sys(topol, space_dim, r) {
+}
+
+inline
+Generator_System::~Generator_System() {
+}
+
+inline Generator_System&
+Generator_System::operator=(const Generator_System& y) {
+ Generator_System tmp = y;
+ swap(*this, tmp);
+ return *this;
+}
+
+inline Representation
+Generator_System::representation() const {
+ return sys.representation();
+}
+
+inline void
+Generator_System::set_representation(Representation r) {
+ sys.set_representation(r);
+}
+
+inline dimension_type
+Generator_System::max_space_dimension() {
+ return Linear_System<Generator>::max_space_dimension();
+}
+
+inline dimension_type
+Generator_System::space_dimension() const {
+ return sys.space_dimension();
+}
+
+inline void
+Generator_System::set_space_dimension(dimension_type space_dim) {
+ const dimension_type old_space_dim = space_dimension();
+ sys.set_space_dimension_no_ok(space_dim);
+
+ if (space_dim < old_space_dim)
+ // We may have invalid lines and rays now.
+ remove_invalid_lines_and_rays();
+
+#ifndef NDEBUG
+ for (dimension_type i = 0; i < sys.num_rows(); ++i)
+ PPL_ASSERT(sys[i].OK());
+#endif
+ PPL_ASSERT(sys.OK());
+ PPL_ASSERT(OK());
+}
+
+inline void
+Generator_System::clear() {
+ sys.clear();
+}
+
+inline const Generator&
+Generator_System::operator[](const dimension_type k) const {
+ return sys[k];
+}
+
+inline void
+Generator_System
+::remove_space_dimensions(const Variables_Set& vars) {
+ sys.remove_space_dimensions(vars);
+}
+
+inline void
+Generator_System
+::shift_space_dimensions(Variable v, dimension_type n) {
+ sys.shift_space_dimensions(v, n);
+}
+
+inline void
+Generator_System
+::permute_space_dimensions(const std::vector<Variable>& cycle) {
+ sys.permute_space_dimensions(cycle);
+}
+
+inline void
+Generator_System
+::swap_space_dimensions(Variable v1, Variable v2) {
+ sys.swap_space_dimensions(v1, v2);
+}
+
+inline dimension_type
+Generator_System::num_rows() const {
+ return sys.num_rows();
+}
+
+inline void
+Generator_System::add_universe_rows_and_space_dimensions(dimension_type n) {
+ sys.add_universe_rows_and_space_dimensions(n);
+}
+
+inline Topology
+Generator_System::topology() const {
+ return sys.topology();
+}
+
+inline dimension_type
+Generator_System::first_pending_row() const {
+ return sys.first_pending_row();
+}
+
+inline void
+Generator_System::unset_pending_rows() {
+ sys.unset_pending_rows();
+}
+
+inline void
+Generator_System::set_sorted(bool b) {
+ sys.set_sorted(b);
+}
+
+inline bool
+Generator_System::is_sorted() const {
+ return sys.is_sorted();
+}
+
+inline void
+Generator_System::set_index_first_pending_row(dimension_type i) {
+ sys.set_index_first_pending_row(i);
+}
+
+inline bool
+Generator_System::is_necessarily_closed() const {
+ return sys.is_necessarily_closed();
+}
+
+inline void
+Generator_System::assign_with_pending(const Generator_System& y) {
+ sys.assign_with_pending(y.sys);
+}
+
+inline dimension_type
+Generator_System::num_pending_rows() const {
+ return sys.num_pending_rows();
+}
+
+inline void
+Generator_System::sort_pending_and_remove_duplicates() {
+ return sys.sort_pending_and_remove_duplicates();
+}
+
+inline void
+Generator_System::sort_and_remove_with_sat(Bit_Matrix& sat) {
+ sys.sort_and_remove_with_sat(sat);
+}
+
+inline void
+Generator_System::sort_rows() {
+ sys.sort_rows();
+}
+
+inline bool
+Generator_System::check_sorted() const {
+ return sys.check_sorted();
+}
+
+inline dimension_type
+Generator_System::num_lines_or_equalities() const {
+ return sys.num_lines_or_equalities();
+}
+
+inline void
+Generator_System::remove_row(dimension_type i, bool keep_sorted) {
+ sys.remove_row(i, keep_sorted);
+}
+
+inline void
+Generator_System::remove_rows(dimension_type first, dimension_type last,
+ bool keep_sorted) {
+ sys.remove_rows(first, last, keep_sorted);
+}
+
+inline void
+Generator_System::remove_rows(const std::vector<dimension_type>& indexes) {
+ sys.remove_rows(indexes);
+}
+
+inline void
+Generator_System::remove_trailing_rows(dimension_type n) {
+ sys.remove_trailing_rows(n);
+}
+
+inline dimension_type
+Generator_System::gauss(dimension_type n_lines_or_equalities) {
+ return sys.gauss(n_lines_or_equalities);
+}
+
+inline void
+Generator_System::back_substitute(dimension_type n_lines_or_equalities) {
+ sys.back_substitute(n_lines_or_equalities);
+}
+
+inline void
+Generator_System::strong_normalize() {
+ sys.strong_normalize();
+}
+
+inline void
+Generator_System::merge_rows_assign(const Generator_System& y) {
+ sys.merge_rows_assign(y.sys);
+}
+
+inline void
+Generator_System::insert(const Generator_System& y) {
+ sys.insert(y.sys);
+}
+
+inline void
+Generator_System::insert_pending(const Generator_System& r) {
+ sys.insert_pending(r.sys);
+}
+
+inline bool
+operator==(const Generator_System& x, const Generator_System& y) {
+ return x.sys == y.sys;
+}
+
+inline bool
+operator!=(const Generator_System& x, const Generator_System& y) {
+ return !(x == y);
+}
+
+inline
+Generator_System_const_iterator::Generator_System_const_iterator()
+ : i(), gsp(0) {
+}
+
+inline
+Generator_System_const_iterator::Generator_System_const_iterator(const Generator_System_const_iterator& y)
+ : i(y.i), gsp(y.gsp) {
+}
+
+inline
+Generator_System_const_iterator::~Generator_System_const_iterator() {
+}
+
+inline
+Generator_System_const_iterator&
+Generator_System_const_iterator::operator=(const Generator_System_const_iterator& y) {
+ i = y.i;
+ gsp = y.gsp;
+ return *this;
+}
+
+inline const Generator&
+Generator_System_const_iterator::operator*() const {
+ return *i;
+}
+
+inline const Generator*
+Generator_System_const_iterator::operator->() const {
+ return i.operator->();
+}
+
+inline Generator_System_const_iterator&
+Generator_System_const_iterator::operator++() {
+ ++i;
+ if (!gsp->is_necessarily_closed())
+ skip_forward();
+ return *this;
+}
+
+inline Generator_System_const_iterator
+Generator_System_const_iterator::operator++(int) {
+ const Generator_System_const_iterator tmp = *this;
+ operator++();
+ return tmp;
+}
+
+inline bool
+Generator_System_const_iterator::operator==(const Generator_System_const_iterator& y) const {
+ return i == y.i;
+}
+
+inline bool
+Generator_System_const_iterator::operator!=(const Generator_System_const_iterator& y) const {
+ return i != y.i;
+}
+
+inline
+Generator_System_const_iterator::
+Generator_System_const_iterator(const Linear_System<Generator>::const_iterator& iter,
+ const Generator_System& gs)
+ : i(iter), gsp(&gs.sys) {
+}
+
+inline bool
+Generator_System::empty() const {
+ return sys.has_no_rows();
+}
+
+inline bool
+Generator_System::has_no_rows() const {
+ return sys.has_no_rows();
+}
+
+inline Generator_System::const_iterator
+Generator_System::begin() const {
+ const_iterator i(sys.begin(), *this);
+ if (!sys.is_necessarily_closed())
+ i.skip_forward();
+ return i;
+}
+
+inline Generator_System::const_iterator
+Generator_System::end() const {
+ const const_iterator i(sys.end(), *this);
+ return i;
+}
+
+inline const Generator_System&
+Generator_System::zero_dim_univ() {
+ PPL_ASSERT(zero_dim_univ_p != 0);
+ return *zero_dim_univ_p;
+}
+
+inline void
+Generator_System::m_swap(Generator_System& y) {
+ swap(sys, y.sys);
+}
+
+inline memory_size_type
+Generator_System::external_memory_in_bytes() const {
+ return sys.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Generator_System::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+inline void
+Generator_System::simplify() {
+ sys.simplify();
+ remove_invalid_lines_and_rays();
+}
+
+/*! \relates Generator_System */
+inline void
+swap(Generator_System& x, Generator_System& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Generator_System_inlines_hh)
diff --git a/src/Generator_System_types.hh b/src/Generator_System_types.hh
new file mode 100644
index 0000000..f368654
--- /dev/null
+++ b/src/Generator_System_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Generator_System_types_hh
+#define PPL_Generator_System_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Generator_System;
+class Generator_System_const_iterator;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Generator_System_types_hh)
diff --git a/src/Generator_defs.hh b/src/Generator_defs.hh
new file mode 100644
index 0000000..5bb204c
--- /dev/null
+++ b/src/Generator_defs.hh
@@ -0,0 +1,1033 @@
+/* Generator class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Generator_defs_hh
+#define PPL_Generator_defs_hh 1
+
+#include "Generator_types.hh"
+#include "Scalar_Products_types.hh"
+#include "Variables_Set_types.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_System_types.hh"
+#include "Congruence_System_types.hh"
+#include "Polyhedron_types.hh"
+#include "Grid_Generator_types.hh"
+#include "Grid_Generator_System_types.hh"
+#include "MIP_Problem_types.hh"
+#include "Grid_types.hh"
+
+#include "Variable_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Checked_Number_defs.hh"
+#include "distances_defs.hh"
+#include "Topology_types.hh"
+#include "Expression_Hide_Last_defs.hh"
+#include "Expression_Hide_Inhomo_defs.hh"
+
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+// Put them in the namespace here to declare them friend later.
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The basic comparison function.
+/*! \relates Generator
+ \return
+ The returned absolute value can be \f$0\f$, \f$1\f$ or \f$2\f$.
+
+ \param x
+ A row of coefficients;
+
+ \param y
+ Another row.
+
+ Compares \p x and \p y, where \p x and \p y may be of different size,
+ in which case the "missing" coefficients are assumed to be zero.
+ The comparison is such that:
+ -# equalities are smaller than inequalities;
+ -# lines are smaller than points and rays;
+ -# the ordering is lexicographic;
+ -# the positions compared are, in decreasing order of significance,
+ 1, 2, ..., \p size(), 0;
+ -# the result is negative, zero, or positive if x is smaller than,
+ equal to, or greater than y, respectively;
+ -# when \p x and \p y are different, the absolute value of the
+ result is 1 if the difference is due to the coefficient in
+ position 0; it is 2 otherwise.
+
+ When \p x and \p y represent the hyper-planes associated
+ to two equality or inequality constraints, the coefficient
+ at 0 is the known term.
+ In this case, the return value can be characterized as follows:
+ - -2, if \p x is smaller than \p y and they are \e not parallel;
+ - -1, if \p x is smaller than \p y and they \e are parallel;
+ - 0, if \p x and y are equal;
+ - +1, if \p y is smaller than \p x and they \e are parallel;
+ - +2, if \p y is smaller than \p x and they are \e not parallel.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+int compare(const Generator& x, const Generator& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Generator */
+std::ostream& operator<<(std::ostream& s, const Generator& g);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Generator */
+void swap(Generator& x, Generator& y);
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! A line, ray, point or closure point.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Generator is one of the following:
+
+ - a line \f$\vect{l} = (a_0, \ldots, a_{n-1})^\transpose\f$;
+
+ - a ray \f$\vect{r} = (a_0, \ldots, a_{n-1})^\transpose\f$;
+
+ - a point
+ \f$\vect{p} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
+
+ - a closure point
+ \f$\vect{c} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
+
+ where \f$n\f$ is the dimension of the space
+ and, for points and closure points, \f$d > 0\f$ is the divisor.
+
+ \par A note on terminology.
+ As observed in Section \ref representation, there are cases when,
+ in order to represent a polyhedron \f$\cP\f$ using the generator system
+ \f$\cG = (L, R, P, C)\f$, we need to include in the finite set
+ \f$P\f$ even points of \f$\cP\f$ that are <EM>not</EM> vertices
+ of \f$\cP\f$.
+ This situation is even more frequent when working with NNC polyhedra
+ and it is the reason why we prefer to use the word `point'
+ where other libraries use the word `vertex'.
+
+ \par How to build a generator.
+ Each type of generator is built by applying the corresponding
+ function (<CODE>line</CODE>, <CODE>ray</CODE>, <CODE>point</CODE>
+ or <CODE>closure_point</CODE>) to a linear expression,
+ representing a direction in the space;
+ the space dimension of the generator is defined as the space dimension
+ of the corresponding linear expression.
+ Linear expressions used to define a generator should be homogeneous
+ (any constant term will be simply ignored).
+ When defining points and closure points, an optional Coefficient argument
+ can be used as a common <EM>divisor</EM> for all the coefficients
+ occurring in the provided linear expression;
+ the default value for this argument is 1.
+
+ \par
+ In all the following examples it is assumed that variables
+ <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
+ are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(2);
+ \endcode
+
+ \par Example 1
+ The following code builds a line with direction \f$x-y-z\f$
+ and having space dimension \f$3\f$:
+ \code
+ Generator l = line(x - y - z);
+ \endcode
+ As mentioned above, the constant term of the linear expression
+ is not relevant. Thus, the following code has the same effect:
+ \code
+ Generator l = line(x - y - z + 15);
+ \endcode
+ By definition, the origin of the space is not a line, so that
+ the following code throws an exception:
+ \code
+ Generator l = line(0*x);
+ \endcode
+
+ \par Example 2
+ The following code builds a ray with the same direction as the
+ line in Example 1:
+ \code
+ Generator r = ray(x - y - z);
+ \endcode
+ As is the case for lines, when specifying a ray the constant term
+ of the linear expression is not relevant; also, an exception is thrown
+ when trying to build a ray from the origin of the space.
+
+ \par Example 3
+ The following code builds the point
+ \f$\vect{p} = (1, 0, 2)^\transpose \in \Rset^3\f$:
+ \code
+ Generator p = point(1*x + 0*y + 2*z);
+ \endcode
+ The same effect can be obtained by using the following code:
+ \code
+ Generator p = point(x + 2*z);
+ \endcode
+ Similarly, the origin \f$\vect{0} \in \Rset^3\f$ can be defined
+ using either one of the following lines of code:
+ \code
+ Generator origin3 = point(0*x + 0*y + 0*z);
+ Generator origin3_alt = point(0*z);
+ \endcode
+ Note however that the following code would have defined
+ a different point, namely \f$\vect{0} \in \Rset^2\f$:
+ \code
+ Generator origin2 = point(0*y);
+ \endcode
+ The following two lines of code both define the only point
+ having space dimension zero, namely \f$\vect{0} \in \Rset^0\f$.
+ In the second case we exploit the fact that the first argument
+ of the function <CODE>point</CODE> is optional.
+ \code
+ Generator origin0 = Generator::zero_dim_point();
+ Generator origin0_alt = point();
+ \endcode
+
+ \par Example 4
+ The point \f$\vect{p}\f$ specified in Example 3 above
+ can also be obtained with the following code,
+ where we provide a non-default value for the second argument
+ of the function <CODE>point</CODE> (the divisor):
+ \code
+ Generator p = point(2*x + 0*y + 4*z, 2);
+ \endcode
+ Obviously, the divisor can be usefully exploited to specify
+ points having some non-integer (but rational) coordinates.
+ For instance, the point
+ \f$\vect{q} = (-1.5, 3.2, 2.1)^\transpose \in \Rset^3\f$
+ can be specified by the following code:
+ \code
+ Generator q = point(-15*x + 32*y + 21*z, 10);
+ \endcode
+ If a zero divisor is provided, an exception is thrown.
+
+ \par Example 5
+ Closure points are specified in the same way we defined points,
+ but invoking their specific constructor function.
+ For instance, the closure point
+ \f$\vect{c} = (1, 0, 2)^\transpose \in \Rset^3\f$ is defined by
+ \code
+ Generator c = closure_point(1*x + 0*y + 2*z);
+ \endcode
+ For the particular case of the (only) closure point
+ having space dimension zero, we can use any of the following:
+ \code
+ Generator closure_origin0 = Generator::zero_dim_closure_point();
+ Generator closure_origin0_alt = closure_point();
+ \endcode
+
+ \par How to inspect a generator
+ Several methods are provided to examine a generator and extract
+ all the encoded information: its space dimension, its type and
+ the value of its integer coefficients.
+
+ \par Example 6
+ The following code shows how it is possible to access each single
+ coefficient of a generator.
+ If <CODE>g1</CODE> is a point having coordinates
+ \f$(a_0, \ldots, a_{n-1})^\transpose\f$,
+ we construct the closure point <CODE>g2</CODE> having coordinates
+ \f$(a_0, 2 a_1, \ldots, (i+1)a_i, \ldots, n a_{n-1})^\transpose\f$.
+ \code
+ if (g1.is_point()) {
+ cout << "Point g1: " << g1 << endl;
+ Linear_Expression e;
+ for (dimension_type i = g1.space_dimension(); i-- > 0; )
+ e += (i + 1) * g1.coefficient(Variable(i)) * Variable(i);
+ Generator g2 = closure_point(e, g1.divisor());
+ cout << "Closure point g2: " << g2 << endl;
+ }
+ else
+ cout << "Generator g1 is not a point." << endl;
+ \endcode
+ Therefore, for the point
+ \code
+ Generator g1 = point(2*x - y + 3*z, 2);
+ \endcode
+ we would obtain the following output:
+ \code
+ Point g1: p((2*A - B + 3*C)/2)
+ Closure point g2: cp((2*A - 2*B + 9*C)/2)
+ \endcode
+ When working with (closure) points, be careful not to confuse
+ the notion of <EM>coefficient</EM> with the notion of <EM>coordinate</EM>:
+ these are equivalent only when the divisor of the (closure) point is 1.
+*/
+class Parma_Polyhedra_Library::Generator {
+public:
+
+ //! The representation used for new Generators.
+ /*!
+ \note The copy constructor and the copy constructor with specified size
+ use the representation of the original object, so that it is
+ indistinguishable from the original object.
+ */
+ static const Representation default_representation = SPARSE;
+
+ //! Returns the line of direction \p e.
+ /*!
+ \exception std::invalid_argument
+ Thrown if the homogeneous part of \p e represents the origin of
+ the vector space.
+ */
+ static Generator line(const Linear_Expression& e,
+ Representation r = default_representation);
+
+ //! Returns the ray of direction \p e.
+ /*!
+ \exception std::invalid_argument
+ Thrown if the homogeneous part of \p e represents the origin of
+ the vector space.
+ */
+ static Generator ray(const Linear_Expression& e,
+ Representation r = default_representation);
+
+ //! Returns the point at \p e / \p d.
+ /*!
+ Both \p e and \p d are optional arguments, with default values
+ Linear_Expression::zero() and Coefficient_one(), respectively.
+
+ \exception std::invalid_argument
+ Thrown if \p d is zero.
+ */
+ static Generator point(const Linear_Expression& e
+ = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d
+ = Coefficient_one(),
+ Representation r = default_representation);
+
+ //! Returns the origin.
+ static Generator point(Representation r);
+
+ //! Returns the point at \p e.
+ static Generator point(const Linear_Expression& e,
+ Representation r);
+
+ //! Constructs the point at the origin.
+ explicit Generator(Representation r = default_representation);
+
+ //! Returns the closure point at \p e / \p d.
+ /*!
+ Both \p e and \p d are optional arguments, with default values
+ Linear_Expression::zero() and Coefficient_one(), respectively.
+
+ \exception std::invalid_argument
+ Thrown if \p d is zero.
+ */
+ static Generator
+ closure_point(const Linear_Expression& e = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d = Coefficient_one(),
+ Representation r = default_representation);
+
+ //! Returns the closure point at the origin.
+ static Generator
+ closure_point(Representation r);
+
+ //! Returns the closure point at \p e.
+ static Generator
+ closure_point(const Linear_Expression& e, Representation r);
+
+ //! Ordinary copy constructor.
+ //! The representation of the new Generator will be the same as g.
+ Generator(const Generator& g);
+
+ //! Copy constructor with given representation.
+ Generator(const Generator& g, Representation r);
+
+ //! Copy constructor with given space dimension.
+ //! The representation of the new Generator will be the same as g.
+ Generator(const Generator& g, dimension_type space_dim);
+
+ //! Copy constructor with given representation and space dimension.
+ Generator(const Generator& g, dimension_type space_dim, Representation r);
+
+ //! Destructor.
+ ~Generator();
+
+ //! Assignment operator.
+ Generator& operator=(const Generator& g);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Generator can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Sets the dimension of the vector space enclosing \p *this to
+ //! \p space_dim .
+ void set_space_dimension(dimension_type space_dim);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Removes all the specified dimensions from the generator.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+
+ If all dimensions with nonzero coefficients are removed from a ray or a
+ line, it is changed into a point and this method returns \p false .
+ Otherwise, it returns \p true .
+ */
+ bool remove_space_dimensions(const Variables_Set& vars);
+
+ //! Permutes the space dimensions of the generator.
+ /*!
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! The generator type.
+ enum Type {
+ /*! The generator is a line. */
+ LINE,
+ /*! The generator is a ray. */
+ RAY,
+ /*! The generator is a point. */
+ POINT,
+ /*! The generator is a closure point. */
+ CLOSURE_POINT
+ };
+
+ //! Returns the generator type of \p *this.
+ Type type() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a line.
+ bool is_line() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a ray.
+ bool is_ray() const;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Returns <CODE>true</CODE> if and only if \p *this is a line or a ray.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool is_line_or_ray() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a point.
+ bool is_point() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a closure point.
+ bool is_closure_point() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ /*!
+ \exception std::invalid_argument
+ Thrown if the index of \p v is greater than or equal to the
+ space dimension of \p *this.
+ */
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! If \p *this is either a point or a closure point, returns its divisor.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this is neither a point nor a closure point.
+ */
+ Coefficient_traits::const_reference divisor() const;
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ //! Returns the origin of the zero-dimensional space \f$\Rset^0\f$.
+ static const Generator& zero_dim_point();
+
+ /*! \brief
+ Returns, as a closure point,
+ the origin of the zero-dimensional space \f$\Rset^0\f$.
+ */
+ static const Generator& zero_dim_closure_point();
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y
+ are equivalent generators.
+
+ Generators having different space dimensions are not equivalent.
+ */
+ bool is_equivalent_to(const Generator& y) const;
+
+ //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
+ /*!
+ This is faster than is_equivalent_to(), but it may return `false' even
+ for equivalent generators.
+ */
+ bool is_equal_to(const Generator& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Generator& y);
+
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> >
+ expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
+
+private:
+ //! The possible kinds of Generator objects.
+ enum Kind {
+ LINE_OR_EQUALITY = 0,
+ RAY_OR_POINT_OR_INEQUALITY = 1
+ };
+
+ //! The linear expression encoding \p *this.
+ Linear_Expression expr;
+
+ //! The kind of \p *this.
+ Kind kind_;
+
+ //! The topology of \p *this.
+ Topology topology_;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the origin of the zero-dimensional space \f$\Rset^0\f$.
+ */
+ static const Generator* zero_dim_point_p;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the origin of the zero-dimensional space \f$\Rset^0\f$, as a closure point.
+ */
+ static const Generator* zero_dim_closure_point_p;
+
+ /*! \brief
+ Builds a generator of type \p type and topology \p topology,
+ stealing the coefficients from \p e.
+
+ If the topology is NNC, the last dimension of \p e is used as the epsilon
+ coefficient.
+ */
+ Generator(Linear_Expression& e, Type type, Topology topology);
+
+ Generator(Linear_Expression& e, Kind kind, Topology topology);
+
+ Generator(dimension_type space_dim, Kind kind, Topology topology,
+ Representation r = default_representation);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row
+ represents a line or an equality.
+ */
+ bool is_line_or_equality() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row
+ represents a ray, a point or an inequality.
+ */
+ bool is_ray_or_point_or_inequality() const;
+
+ //! Sets to \p LINE_OR_EQUALITY the kind of \p *this row.
+ void set_is_line_or_equality();
+
+ //! Sets to \p RAY_OR_POINT_OR_INEQUALITY the kind of \p *this row.
+ void set_is_ray_or_point_or_inequality();
+
+ //! \name Flags inspection methods
+ //@{
+ //! Returns the topological kind of \p *this.
+ Topology topology() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the topology
+ of \p *this row is not necessarily closed.
+ */
+ bool is_not_necessarily_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the topology
+ of \p *this row is necessarily closed.
+ */
+ bool is_necessarily_closed() const;
+ //@} // Flags inspection methods
+
+ //! \name Flags coercion methods
+ //@{
+
+ //! Sets to \p x the topological kind of \p *this row.
+ void set_topology(Topology x);
+
+ //! Sets to \p NECESSARILY_CLOSED the topological kind of \p *this row.
+ void set_necessarily_closed();
+
+ //! Sets to \p NOT_NECESSARILY_CLOSED the topological kind of \p *this row.
+ void set_not_necessarily_closed();
+ //@} // Flags coercion methods
+
+ //! Marks the epsilon dimension as a standard dimension.
+ /*!
+ The row topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is increased by 1.
+ */
+ void mark_as_necessarily_closed();
+
+ //! Marks the last dimension as the epsilon dimension.
+ /*!
+ The row topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is decreased by 1.
+ */
+ void mark_as_not_necessarily_closed();
+
+ //! Linearly combines \p *this with \p y so that i-th coefficient is 0.
+ /*!
+ \param y
+ The Generator that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting Generator to \p *this and normalizes it.
+ */
+ void linear_combine(const Generator& y, dimension_type i);
+
+ //! Sets the dimension of the vector space enclosing \p *this to
+ //! \p space_dim .
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ /*!
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid objects.
+ */
+ void set_space_dimension_no_ok(dimension_type space_dim);
+
+ /*! \brief
+ Throw a <CODE>std::invalid_argument</CODE> exception
+ containing the appropriate error message.
+ */
+ void
+ throw_dimension_incompatible(const char* method,
+ const char* v_name,
+ Variable v) const;
+
+ /*! \brief
+ Throw a <CODE>std::invalid_argument</CODE> exception
+ containing the appropriate error message.
+ */
+ void
+ throw_invalid_argument(const char* method, const char* reason) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is not a line.
+ bool is_ray_or_point() const;
+
+ //! Sets the Generator kind to <CODE>LINE_OR_EQUALITY</CODE>.
+ void set_is_line();
+
+ //! Sets the Generator kind to <CODE>RAY_OR_POINT_OR_INEQUALITY</CODE>.
+ void set_is_ray_or_point();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the closure point
+ \p *this has the same \e coordinates of the point \p p.
+
+ It is \e assumed that \p *this is a closure point, \p p is a point
+ and both topologies and space dimensions agree.
+ */
+ bool is_matching_closure_point(const Generator& p) const;
+
+ //! Returns the epsilon coefficient. The generator must be NNC.
+ Coefficient_traits::const_reference epsilon_coefficient() const;
+
+ //! Sets the epsilon coefficient to \p n. The generator must be NNC.
+ void set_epsilon_coefficient(Coefficient_traits::const_reference n);
+
+ /*! \brief
+ Normalizes the sign of the coefficients so that the first non-zero
+ (homogeneous) coefficient of a line-or-equality is positive.
+ */
+ void sign_normalize();
+
+ /*! \brief
+ Strong normalization: ensures that different Generator objects
+ represent different hyperplanes or hyperspaces.
+
+ Applies both Generator::normalize() and Generator::sign_normalize().
+ */
+ void strong_normalize();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the coefficients are
+ strongly normalized.
+ */
+ bool check_strong_normalized() const;
+
+ /*! \brief
+ A print function, with fancy, more human-friendly output.
+
+ This is used by operator<<().
+ */
+ void fancy_print(std::ostream& s) const;
+
+ friend class Expression_Adapter<Generator>;
+ friend class Linear_System<Generator>;
+ friend class Parma_Polyhedra_Library::Scalar_Products;
+ friend class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Sign;
+ friend class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Assign;
+ friend class Parma_Polyhedra_Library::Generator_System;
+ friend class Parma_Polyhedra_Library::Generator_System_const_iterator;
+ // FIXME: the following friend declaration should be avoided.
+ friend class Parma_Polyhedra_Library::Polyhedron;
+ // This is for access to Linear_Expression in `insert'.
+ friend class Parma_Polyhedra_Library::Grid_Generator_System;
+ friend class Parma_Polyhedra_Library::MIP_Problem;
+ friend class Parma_Polyhedra_Library::Grid;
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators::operator<<(std::ostream& s,
+ const Generator& g);
+
+ friend int
+ compare(const Generator& x, const Generator& y);
+};
+
+
+namespace Parma_Polyhedra_Library {
+
+//! Shorthand for Generator::line(const Linear_Expression& e, Representation r).
+/*! \relates Generator */
+Generator line(const Linear_Expression& e,
+ Representation r = Generator::default_representation);
+
+//! Shorthand for Generator::ray(const Linear_Expression& e, Representation r).
+/*! \relates Generator */
+Generator ray(const Linear_Expression& e,
+ Representation r = Generator::default_representation);
+
+/*! \brief
+ Shorthand for
+ Generator::point(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
+
+ \relates Generator
+*/
+Generator
+point(const Linear_Expression& e = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d = Coefficient_one(),
+ Representation r = Generator::default_representation);
+
+//! Shorthand for Generator::point(Representation r).
+/*! \relates Generator */
+Generator
+point(Representation r);
+
+/*! \brief
+ Shorthand for
+ Generator::point(const Linear_Expression& e, Representation r).
+
+ \relates Generator
+*/
+Generator
+point(const Linear_Expression& e, Representation r);
+
+/*! \brief
+ Shorthand for
+ Generator::closure_point(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
+
+ \relates Generator
+*/
+Generator
+closure_point(const Linear_Expression& e = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d = Coefficient_one(),
+ Representation r = Generator::default_representation);
+
+//! Shorthand for Generator::closure_point(Representation r).
+/*! \relates Generator */
+Generator
+closure_point(Representation r);
+
+/*! \brief
+ Shorthand for
+ Generator::closure_point(const Linear_Expression& e, Representation r).
+
+ \relates Generator
+*/
+Generator
+closure_point(const Linear_Expression& e, Representation r);
+
+//! Returns <CODE>true</CODE> if and only if \p x is equivalent to \p y.
+/*! \relates Generator */
+bool operator==(const Generator& x, const Generator& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x is not equivalent to \p y.
+/*! \relates Generator */
+bool operator!=(const Generator& x, const Generator& y);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Generator
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename To>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Generator
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename Temp, typename To>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Generator
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename Temp, typename To>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Generator
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename To>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Generator
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename Temp, typename To>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Generator
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename Temp, typename To>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Generator
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename To>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Generator
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename Temp, typename To>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Generator
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+
+ \note
+ Distances are \e only defined between generators that are points and/or
+ closure points; for rays or lines, \c false is returned.
+*/
+template <typename Temp, typename To>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Generator */
+std::ostream& operator<<(std::ostream& s, const Generator::Type& t);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Generator_inlines.hh"
+
+#endif // !defined(PPL_Generator_defs_hh)
diff --git a/src/Generator_inlines.hh b/src/Generator_inlines.hh
new file mode 100644
index 0000000..8de552b
--- /dev/null
+++ b/src/Generator_inlines.hh
@@ -0,0 +1,709 @@
+/* Generator class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Generator_inlines_hh
+#define PPL_Generator_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline bool
+Generator::is_necessarily_closed() const {
+ return (topology() == NECESSARILY_CLOSED);
+}
+
+inline bool
+Generator::is_not_necessarily_closed() const {
+ return (topology() == NOT_NECESSARILY_CLOSED);
+}
+
+inline Generator::expr_type
+Generator::expression() const {
+ return expr_type(expr, is_not_necessarily_closed());
+}
+
+inline dimension_type
+Generator::space_dimension() const {
+ return expression().space_dimension();
+}
+
+inline bool
+Generator::is_line_or_equality() const {
+ return (kind_ == LINE_OR_EQUALITY);
+}
+
+inline bool
+Generator::is_ray_or_point_or_inequality() const {
+ return (kind_ == RAY_OR_POINT_OR_INEQUALITY);
+}
+
+inline Topology
+Generator::topology() const {
+ return topology_;
+}
+
+inline void
+Generator::set_is_line_or_equality() {
+ kind_ = LINE_OR_EQUALITY;
+}
+
+inline void
+Generator::set_is_ray_or_point_or_inequality() {
+ kind_ = RAY_OR_POINT_OR_INEQUALITY;
+}
+
+inline void
+Generator::set_topology(Topology x) {
+ if (topology() == x)
+ return;
+ if (topology() == NECESSARILY_CLOSED) {
+ // Add a column for the epsilon dimension.
+ expr.set_space_dimension(expr.space_dimension() + 1);
+ }
+ else {
+ PPL_ASSERT(expr.space_dimension() > 0);
+ expr.set_space_dimension(expr.space_dimension() - 1);
+ }
+ topology_ = x;
+}
+
+inline void
+Generator::mark_as_necessarily_closed() {
+ PPL_ASSERT(is_not_necessarily_closed());
+ topology_ = NECESSARILY_CLOSED;
+}
+
+inline void
+Generator::mark_as_not_necessarily_closed() {
+ PPL_ASSERT(is_necessarily_closed());
+ topology_ = NOT_NECESSARILY_CLOSED;
+}
+
+inline void
+Generator::set_necessarily_closed() {
+ set_topology(NECESSARILY_CLOSED);
+}
+
+inline void
+Generator::set_not_necessarily_closed() {
+ set_topology(NOT_NECESSARILY_CLOSED);
+}
+
+inline
+Generator::Generator(Representation r)
+ : expr(r),
+ kind_(RAY_OR_POINT_OR_INEQUALITY),
+ topology_(NECESSARILY_CLOSED) {
+ expr.set_inhomogeneous_term(Coefficient_one());
+ PPL_ASSERT(space_dimension() == 0);
+ PPL_ASSERT(OK());
+}
+
+inline
+Generator::Generator(dimension_type space_dim, Kind kind, Topology topology,
+ Representation r)
+ : expr(r),
+ kind_(kind),
+ topology_(topology) {
+ if (is_necessarily_closed())
+ expr.set_space_dimension(space_dim);
+ else
+ expr.set_space_dimension(space_dim + 1);
+ PPL_ASSERT(space_dimension() == space_dim);
+ PPL_ASSERT(OK());
+}
+
+inline
+Generator::Generator(Linear_Expression& e, Type type, Topology topology)
+ : topology_(topology) {
+ PPL_ASSERT(type != CLOSURE_POINT || topology == NOT_NECESSARILY_CLOSED);
+ swap(expr, e);
+ if (topology == NOT_NECESSARILY_CLOSED)
+ expr.set_space_dimension(expr.space_dimension() + 1);
+ if (type == LINE)
+ kind_ = LINE_OR_EQUALITY;
+ else
+ kind_ = RAY_OR_POINT_OR_INEQUALITY;
+ strong_normalize();
+}
+
+inline
+Generator::Generator(Linear_Expression& e, Kind kind, Topology topology)
+ : kind_(kind),
+ topology_(topology) {
+ swap(expr, e);
+ if (topology == NOT_NECESSARILY_CLOSED)
+ expr.set_space_dimension(expr.space_dimension() + 1);
+ strong_normalize();
+}
+
+inline
+Generator::Generator(const Generator& g)
+ : expr(g.expr),
+ kind_(g.kind_),
+ topology_(g.topology_) {
+}
+
+inline
+Generator::Generator(const Generator& g, Representation r)
+ : expr(g.expr, r),
+ kind_(g.kind_),
+ topology_(g.topology_) {
+ // This does not assert OK() because it's called by OK().
+ PPL_ASSERT(OK());
+}
+
+inline
+Generator::Generator(const Generator& g, dimension_type space_dim)
+ : expr(g.expr, g.is_necessarily_closed() ? space_dim : (space_dim + 1)),
+ kind_(g.kind_),
+ topology_(g.topology_) {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(space_dimension() == space_dim);
+}
+
+inline
+Generator::Generator(const Generator& g, dimension_type space_dim,
+ Representation r)
+ : expr(g.expr, g.is_necessarily_closed() ? space_dim : (space_dim + 1), r),
+ kind_(g.kind_),
+ topology_(g.topology_) {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(space_dimension() == space_dim);
+}
+
+inline
+Generator::~Generator() {
+}
+
+inline Generator&
+Generator::operator=(const Generator& g) {
+ Generator tmp = g;
+ swap(*this, tmp);
+
+ return *this;
+}
+
+inline Representation
+Generator::representation() const {
+ return expr.representation();
+}
+
+inline void
+Generator::set_representation(Representation r) {
+ expr.set_representation(r);
+}
+
+inline dimension_type
+Generator::max_space_dimension() {
+ return Linear_Expression::max_space_dimension();
+}
+
+inline void
+Generator::set_space_dimension_no_ok(dimension_type space_dim) {
+ const dimension_type old_expr_space_dim = expr.space_dimension();
+ if (topology() == NECESSARILY_CLOSED) {
+ expr.set_space_dimension(space_dim);
+ }
+ else {
+ const dimension_type old_space_dim = space_dimension();
+ if (space_dim > old_space_dim) {
+ expr.set_space_dimension(space_dim + 1);
+ expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
+ }
+ else {
+ expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
+ expr.set_space_dimension(space_dim + 1);
+ }
+ }
+ PPL_ASSERT(space_dimension() == space_dim);
+ if (expr.space_dimension() < old_expr_space_dim)
+ strong_normalize();
+}
+
+inline void
+Generator::set_space_dimension(dimension_type space_dim) {
+ set_space_dimension_no_ok(space_dim);
+ PPL_ASSERT(OK());
+}
+
+inline void
+Generator::shift_space_dimensions(Variable v, dimension_type n) {
+ expr.shift_space_dimensions(v, n);
+}
+
+inline bool
+Generator::is_line() const {
+ return is_line_or_equality();
+}
+
+inline bool
+Generator::is_ray_or_point() const {
+ return is_ray_or_point_or_inequality();
+}
+
+inline bool
+Generator::is_line_or_ray() const {
+ return expr.inhomogeneous_term() == 0;
+}
+
+inline bool
+Generator::is_ray() const {
+ return is_ray_or_point() && is_line_or_ray();
+}
+
+inline Generator::Type
+Generator::type() const {
+ if (is_line())
+ return LINE;
+ if (is_line_or_ray())
+ return RAY;
+ if (is_necessarily_closed())
+ return POINT;
+ else {
+ // Checking the value of the epsilon coefficient.
+ if (epsilon_coefficient() == 0)
+ return CLOSURE_POINT;
+ else
+ return POINT;
+ }
+}
+
+inline bool
+Generator::is_point() const {
+ return type() == POINT;
+}
+
+inline bool
+Generator::is_closure_point() const {
+ return type() == CLOSURE_POINT;
+}
+
+inline void
+Generator::set_is_line() {
+ set_is_line_or_equality();
+}
+
+inline void
+Generator::set_is_ray_or_point() {
+ set_is_ray_or_point_or_inequality();
+}
+
+inline Coefficient_traits::const_reference
+Generator::coefficient(const Variable v) const {
+ if (v.space_dimension() > space_dimension())
+ throw_dimension_incompatible("coefficient(v)", "v", v);
+ return expr.coefficient(v);
+}
+
+inline Coefficient_traits::const_reference
+Generator::divisor() const {
+ Coefficient_traits::const_reference d = expr.inhomogeneous_term();
+ if (!is_ray_or_point() || d == 0)
+ throw_invalid_argument("divisor()",
+ "*this is neither a point nor a closure point");
+ return d;
+}
+
+inline Coefficient_traits::const_reference
+Generator::epsilon_coefficient() const {
+ PPL_ASSERT(is_not_necessarily_closed());
+ return expr.coefficient(Variable(expr.space_dimension() - 1));
+}
+
+
+inline void
+Generator::set_epsilon_coefficient(Coefficient_traits::const_reference n) {
+ PPL_ASSERT(is_not_necessarily_closed());
+ expr.set_coefficient(Variable(expr.space_dimension() - 1), n);
+}
+
+
+inline memory_size_type
+Generator::external_memory_in_bytes() const {
+ return expr.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Generator::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline void
+Generator::strong_normalize() {
+ expr.normalize();
+ sign_normalize();
+}
+
+inline const Generator&
+Generator::zero_dim_point() {
+ PPL_ASSERT(zero_dim_point_p != 0);
+ return *zero_dim_point_p;
+}
+
+inline const Generator&
+Generator::zero_dim_closure_point() {
+ PPL_ASSERT(zero_dim_closure_point_p != 0);
+ return *zero_dim_closure_point_p;
+}
+
+/*! \relates Generator */
+inline Generator
+line(const Linear_Expression& e, Representation r) {
+ return Generator::line(e, r);
+}
+
+/*! \relates Generator */
+inline Generator
+ray(const Linear_Expression& e, Representation r) {
+ return Generator::ray(e, r);
+}
+
+/*! \relates Generator */
+inline Generator
+point(const Linear_Expression& e, Coefficient_traits::const_reference d,
+ Representation r) {
+ return Generator::point(e, d, r);
+}
+
+/*! \relates Generator */
+inline Generator
+point(Representation r) {
+ return Generator::point(r);
+}
+
+/*! \relates Generator */
+inline Generator
+point(const Linear_Expression& e, Representation r) {
+ return Generator::point(e, r);
+}
+
+/*! \relates Generator */
+inline Generator
+closure_point(const Linear_Expression& e,
+ Coefficient_traits::const_reference d,
+ Representation r) {
+ return Generator::closure_point(e, d, r);
+}
+
+/*! \relates Generator */
+inline Generator
+closure_point(Representation r) {
+ return Generator::closure_point(r);
+}
+
+/*! \relates Generator */
+inline Generator
+closure_point(const Linear_Expression& e,
+ Representation r) {
+ return Generator::closure_point(e, r);
+}
+
+/*! \relates Generator */
+inline bool
+operator==(const Generator& x, const Generator& y) {
+ return x.is_equivalent_to(y);
+}
+
+/*! \relates Generator */
+inline bool
+operator!=(const Generator& x, const Generator& y) {
+ return !x.is_equivalent_to(y);
+}
+
+inline void
+Generator::ascii_dump(std::ostream& s) const {
+
+ expr.ascii_dump(s);
+
+ s << " ";
+
+ switch (type()) {
+ case Generator::LINE:
+ s << "L ";
+ break;
+ case Generator::RAY:
+ s << "R ";
+ break;
+ case Generator::POINT:
+ s << "P ";
+ break;
+ case Generator::CLOSURE_POINT:
+ s << "C ";
+ break;
+ }
+ if (is_necessarily_closed())
+ s << "(C)";
+ else
+ s << "(NNC)";
+ s << "\n";
+}
+
+inline bool
+Generator::ascii_load(std::istream& s) {
+ std::string str;
+
+ expr.ascii_load(s);
+
+ if (!(s >> str))
+ return false;
+ if (str == "L")
+ set_is_line();
+ else if (str == "R" || str == "P" || str == "C")
+ set_is_ray_or_point();
+ else
+ return false;
+
+ std::string str2;
+
+ if (!(s >> str2))
+ return false;
+ if (str2 == "(C)") {
+ if (is_not_necessarily_closed())
+ // TODO: Avoid using the mark_as_*() methods if possible.
+ mark_as_necessarily_closed();
+ }
+ else {
+ if (str2 == "(NNC)") {
+ if (is_necessarily_closed())
+ // TODO: Avoid using the mark_as_*() methods if possible.
+ mark_as_not_necessarily_closed();
+ }
+ else
+ return false;
+ }
+
+ // Checking for equality of actual and declared types.
+ switch (type()) {
+ case Generator::LINE:
+ if (str != "L")
+ return false;
+ break;
+ case Generator::RAY:
+ if (str != "R")
+ return false;
+ break;
+ case Generator::POINT:
+ if (str != "P")
+ return false;
+ break;
+ case Generator::CLOSURE_POINT:
+ if (str != "C")
+ return false;
+ break;
+ }
+
+ return true;
+}
+
+inline void
+Generator::m_swap(Generator& y) {
+ using std::swap;
+ swap(expr, y.expr);
+ swap(kind_, y.kind_);
+ swap(topology_, y.topology_);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Generator */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Specialization, typename Temp, typename To>
+inline bool
+l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ // Generator kind compatibility check: we only compute distances
+ // between (closure) points.
+ if (x.is_line_or_ray() || y.is_line_or_ray())
+ return false;
+ const dimension_type x_space_dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (x_space_dim != y.space_dimension())
+ return false;
+
+ // All zero-dim generators have distance zero.
+ if (x_space_dim == 0) {
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ PPL_DIRTY_TEMP(mpq_class, x_coord);
+ PPL_DIRTY_TEMP(mpq_class, y_coord);
+ PPL_DIRTY_TEMP(mpq_class, x_div);
+ PPL_DIRTY_TEMP(mpq_class, y_div);
+ assign_r(x_div, x.divisor(), ROUND_NOT_NEEDED);
+ assign_r(y_div, y.divisor(), ROUND_NOT_NEEDED);
+
+ assign_r(tmp0, 0, ROUND_NOT_NEEDED);
+ // TODO: This loop can be optimized more, if needed.
+ for (dimension_type i = x_space_dim; i-- > 0; ) {
+ assign_r(x_coord, x.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ div_assign_r(x_coord, x_coord, x_div, ROUND_NOT_NEEDED);
+ assign_r(y_coord, y.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ div_assign_r(y_coord, y_coord, y_div, ROUND_NOT_NEEDED);
+ const Temp* tmp1p;
+ const Temp* tmp2p;
+
+ if (x_coord > y_coord) {
+ maybe_assign(tmp1p, tmp1, x_coord, dir);
+ maybe_assign(tmp2p, tmp2, y_coord, inverse(dir));
+ }
+ else {
+ maybe_assign(tmp1p, tmp1, y_coord, dir);
+ maybe_assign(tmp2p, tmp2, x_coord, inverse(dir));
+ }
+ sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
+ PPL_ASSERT(sgn(tmp1) >= 0);
+ Specialization::combine(tmp0, tmp1, dir);
+ }
+ Specialization::finalize(tmp0, dir);
+ assign_r(r, tmp0, dir);
+ return true;
+}
+
+/*! \relates Generator */
+template <typename Temp, typename To>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >
+ (r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Generator */
+template <typename Temp, typename To>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Generator */
+template <typename To>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
+ return rectilinear_distance_assign<To, To>(r, x, y, dir);
+}
+
+/*! \relates Generator */
+template <typename Temp, typename To>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >
+ (r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Generator */
+template <typename Temp, typename To>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Generator */
+template <typename To>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
+ return euclidean_distance_assign<To, To>(r, x, y, dir);
+}
+
+/*! \relates Generator */
+template <typename Temp, typename To>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >
+ (r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Generator */
+template <typename Temp, typename To>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Generator */
+template <typename To>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
+ return l_infinity_distance_assign<To, To>(r, x, y, dir);
+}
+
+/*! \relates Generator */
+inline void
+swap(Generator& x, Generator& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Generator_inlines_hh)
diff --git a/src/Generator_types.hh b/src/Generator_types.hh
new file mode 100644
index 0000000..f2a7178
--- /dev/null
+++ b/src/Generator_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Generator_types_hh
+#define PPL_Generator_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Generator;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Generator_types_hh)
diff --git a/src/Grid.defs.hh b/src/Grid.defs.hh
deleted file mode 100644
index a53a204..0000000
--- a/src/Grid.defs.hh
+++ /dev/null
@@ -1,2665 +0,0 @@
-/* Grid class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_defs_hh
-#define PPL_Grid_defs_hh 1
-
-#include "Grid.types.hh"
-#include "globals.defs.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.types.hh"
-#include "Linear_Expression.defs.hh"
-#include "Constraint.types.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
-#include "Grid_Generator_System.defs.hh"
-#include "Grid_Generator_System.inlines.hh"
-#include "Grid_Generator.types.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "Grid_Certificate.types.hh"
-#include "Box.types.hh"
-#include "Polyhedron.types.hh"
-#include "BD_Shape.types.hh"
-#include "Octagonal_Shape.types.hh"
-#include <vector>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Grid
- Writes a textual representation of \p gr on \p s: <CODE>false</CODE>
- is written if \p gr is an empty grid; <CODE>true</CODE> is written
- if \p gr is a universe grid; a minimized system of congruences
- defining \p gr is written otherwise, all congruences in one row
- separated by ", "s.
-*/
-std::ostream&
-operator<<(std::ostream& s, const Grid& gr);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Grid */
-void swap(Grid& x, Grid& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x and \p y are the same
- grid.
-
- \relates Grid
- Note that \p x and \p y may be dimension-incompatible grids: in
- those cases, the value <CODE>false</CODE> is returned.
-*/
-bool operator==(const Grid& x, const Grid& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x and \p y are different
- grids.
-
- \relates Grid
- Note that \p x and \p y may be dimension-incompatible grids: in
- those cases, the value <CODE>true</CODE> is returned.
-*/
-bool operator!=(const Grid& x, const Grid& y);
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! A grid.
-/*! \ingroup PPL_CXX_interface
- An object of the class Grid represents a rational grid.
-
- The domain of grids <EM>optimally supports</EM>:
- - all (proper and non-proper) congruences;
- - tautological and inconsistent constraints;
- - linear equality constraints (i.e., non-proper congruences).
-
- Depending on the method, using a constraint that is not optimally
- supported by the domain will either raise an exception or
- result in a (possibly non-optimal) upward approximation.
-
- The domain of grids support a concept of double description similar
- to the one developed for polyhedra: hence, a grid can be specified
- as either a finite system of congruences or a finite system of
- generators (see Section \ref sect_rational_grids) and it is always
- possible to obtain either representation.
- That is, if we know the system of congruences, we can obtain
- from this a system of generators that define the same grid
- and vice versa.
- These systems can contain redundant members, or they can be in the
- minimal form.
-
- A key attribute of any grid is its space dimension (the dimension
- \f$n \in \Nset\f$ of the enclosing vector space):
-
- - all grids, the empty ones included, are endowed with a space
- dimension;
- - most operations working on a grid and another object (another
- grid, a congruence, a generator, a set of variables, etc.) will
- throw an exception if the grid and the object are not
- dimension-compatible (see Section \ref Grid_Space_Dimensions);
- - the only ways in which the space dimension of a grid can be
- changed are with <EM>explicit</EM> calls to operators provided for
- that purpose, and with standard copy, assignment and swap
- operators.
-
- Note that two different grids can be defined on the zero-dimension
- space: the empty grid and the universe grid \f$R^0\f$.
-
- \par
- In all the examples it is assumed that variables
- <CODE>x</CODE> and <CODE>y</CODE> are defined (where they are
- used) as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code builds a grid corresponding to the even integer
- pairs in \f$\Rset^2\f$, given as a system of congruences:
- \code
- Congruence_System cgs;
- cgs.insert((x %= 0) / 2);
- cgs.insert((y %= 0) / 2);
- Grid gr(cgs);
- \endcode
- The following code builds the same grid as above, but starting
- from a system of generators specifying three of the points:
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(0*x + 0*y));
- gs.insert(grid_point(0*x + 2*y));
- gs.insert(grid_point(2*x + 0*y));
- Grid gr(gs);
- \endcode
-
- \par Example 2
- The following code builds a grid corresponding to a line in
- \f$\Rset^2\f$ by adding a single congruence to the universe grid:
- \code
- Congruence_System cgs;
- cgs.insert(x - y == 0);
- Grid gr(cgs);
- \endcode
- The following code builds the same grid as above, but starting
- from a system of generators specifying a point and a line:
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(0*x + 0*y));
- gs.insert(grid_line(x + y));
- Grid gr(gs);
- \endcode
-
- \par Example 3
- The following code builds a grid corresponding to the integral
- points on the line \f$x = y\f$ in \f$\Rset^2\f$ constructed
- by adding an equality and congruence to the universe grid:
- \code
- Congruence_System cgs;
- cgs.insert(x - y == 0);
- cgs.insert(x %= 0);
- Grid gr(cgs);
- \endcode
- The following code builds the same grid as above, but starting
- from a system of generators specifying a point and a parameter:
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(0*x + 0*y));
- gs.insert(parameter(x + y));
- Grid gr(gs);
- \endcode
-
- \par Example 4
- The following code builds the grid corresponding to a plane by
- creating the universe grid in \f$\Rset^2\f$:
- \code
- Grid gr(2);
- \endcode
- The following code builds the same grid as above, but starting
- from the empty grid in \f$\Rset^2\f$ and inserting the appropriate
- generators (a point, and two lines).
- \code
- Grid gr(2, EMPTY);
- gr.add_grid_generator(grid_point(0*x + 0*y));
- gr.add_grid_generator(grid_line(x));
- gr.add_grid_generator(grid_line(y));
- \endcode
- Note that a generator system must contain a point when describing
- a grid. To ensure that this is always the case it is required
- that the first generator inserted in an empty grid is a point
- (otherwise, an exception is thrown).
-
- \par Example 5
- The following code shows the use of the function
- <CODE>add_space_dimensions_and_embed</CODE>:
- \code
- Grid gr(1);
- gr.add_congruence(x == 2);
- gr.add_space_dimensions_and_embed(1);
- \endcode
- We build the universe grid in the 1-dimension space \f$\Rset\f$.
- Then we add a single equality congruence,
- thus obtaining the grid corresponding to the singleton set
- \f$\{ 2 \} \sseq \Rset\f$.
- After the last line of code, the resulting grid is
- \f[
- \bigl\{\,
- (2, y)^\transpose \in \Rset^2
- \bigm|
- y \in \Rset
- \,\bigr\}.
- \f]
-
- \par Example 6
- The following code shows the use of the function
- <CODE>add_space_dimensions_and_project</CODE>:
- \code
- Grid gr(1);
- gr.add_congruence(x == 2);
- gr.add_space_dimensions_and_project(1);
- \endcode
- The first two lines of code are the same as in Example 4 for
- <CODE>add_space_dimensions_and_embed</CODE>.
- After the last line of code, the resulting grid is
- the singleton set
- \f$\bigl\{ (2, 0)^\transpose \bigr\} \sseq \Rset^2\f$.
-
- \par Example 7
- The following code shows the use of the function
- <CODE>affine_image</CODE>:
- \code
- Grid gr(2, EMPTY);
- gr.add_grid_generator(grid_point(0*x + 0*y));
- gr.add_grid_generator(grid_point(4*x + 0*y));
- gr.add_grid_generator(grid_point(0*x + 2*y));
- Linear_Expression expr = x + 3;
- gr.affine_image(x, expr);
- \endcode
- In this example the starting grid is all the pairs of \f$x\f$ and
- \f$y\f$ in \f$\Rset^2\f$ where \f$x\f$ is an integer multiple of 4
- and \f$y\f$ is an integer multiple of 2. The considered variable
- is \f$x\f$ and the affine expression is \f$x+3\f$. The resulting
- grid is the given grid translated 3 integers to the right (all the
- pairs \f$(x, y)\f$ where \f$x\f$ is -1 plus an integer multiple of 4
- and \f$y\f$ is an integer multiple of 2).
- Moreover, if the affine transformation for the same variable \p x
- is instead \f$x+y\f$:
- \code
- Linear_Expression expr = x + y;
- \endcode
- the resulting grid is every second integral point along the \f$x=y\f$
- line, with this line of points repeated at every fourth integral value
- along the \f$x\f$ axis.
- Instead, if we do not use an invertible transformation for the
- same variable; for example, the affine expression \f$y\f$:
- \code
- Linear_Expression expr = y;
- \endcode
- the resulting grid is every second point along the \f$x=y\f$ line.
-
- \par Example 8
- The following code shows the use of the function
- <CODE>affine_preimage</CODE>:
- \code
- Grid gr(2, EMPTY);
- gr.add_grid_generator(grid_point(0*x + 0*y));
- gr.add_grid_generator(grid_point(4*x + 0*y));
- gr.add_grid_generator(grid_point(0*x + 2*y));
- Linear_Expression expr = x + 3;
- gr.affine_preimage(x, expr);
- \endcode
- In this example the starting grid, \p var and the affine
- expression and the denominator are the same as in Example 6, while
- the resulting grid is similar but translated 3 integers to the
- left (all the pairs \f$(x, y)\f$
- where \f$x\f$ is -3 plus an integer multiple of 4 and
- \f$y\f$ is an integer multiple of 2)..
- Moreover, if the affine transformation for \p x is \f$x+y\f$
- \code
- Linear_Expression expr = x + y;
- \endcode
- the resulting grid is a similar grid to the result in Example 6,
- only the grid is slanted along \f$x=-y\f$.
- Instead, if we do not use an invertible transformation for the same
- variable \p x, for example, the affine expression \f$y\f$:
- \code
- Linear_Expression expr = y;
- \endcode
- the resulting grid is every fourth line parallel to the \f$x\f$
- axis.
-
- \par Example 9
- For this example we also use the variables:
- \code
- Variable z(2);
- Variable w(3);
- \endcode
- The following code shows the use of the function
- <CODE>remove_space_dimensions</CODE>:
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(3*x + y +0*z + 2*w));
- Grid gr(gs);
- Variables_Set vars;
- vars.insert(y);
- vars.insert(z);
- gr.remove_space_dimensions(vars);
- \endcode
- The starting grid is the singleton set
- \f$\bigl\{ (3, 1, 0, 2)^\transpose \bigr\} \sseq \Rset^4\f$, while
- the resulting grid is
- \f$\bigl\{ (3, 2)^\transpose \bigr\} \sseq \Rset^2\f$.
- Be careful when removing space dimensions <EM>incrementally</EM>:
- since dimensions are automatically renamed after each application
- of the <CODE>remove_space_dimensions</CODE> operator, unexpected
- results can be obtained.
- For instance, by using the following code we would obtain
- a different result:
- \code
- set<Variable> vars1;
- vars1.insert(y);
- gr.remove_space_dimensions(vars1);
- set<Variable> vars2;
- vars2.insert(z);
- gr.remove_space_dimensions(vars2);
- \endcode
- In this case, the result is the grid
- \f$\bigl\{(3, 0)^\transpose \bigr\} \sseq \Rset^2\f$:
- when removing the set of dimensions \p vars2
- we are actually removing variable \f$w\f$ of the original grid.
- For the same reason, the operator \p remove_space_dimensions
- is not idempotent: removing twice the same non-empty set of dimensions
- is never the same as removing them just once.
-*/
-
-class Parma_Polyhedra_Library::Grid {
-public:
- //! The numeric type of coefficients.
- typedef Coefficient coefficient_type;
-
- //! Returns the maximum space dimension all kinds of Grid can handle.
- static dimension_type max_space_dimension();
-
- /*! \brief
- Returns true indicating that this domain has methods that
- can recycle congruences.
- */
- static bool can_recycle_congruence_systems();
-
- /*! \brief
- Returns true indicating that this domain has methods that
- can recycle constraints.
- */
- static bool can_recycle_constraint_systems();
-
- //! Builds a grid having the specified properties.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the grid;
-
- \param kind
- Specifies whether the universe or the empty grid has to be built.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Grid(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Builds a grid, copying a system of congruences.
- /*!
- The grid inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences defining the grid.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Grid(const Congruence_System& cgs);
-
- //! Builds a grid, recycling a system of congruences.
- /*!
- The grid inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences defining the grid. Its data-structures
- may be recycled to build the grid.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- Grid(Congruence_System& cgs, Recycle_Input dummy);
-
- //! Builds a grid, copying a system of constraints.
- /*!
- The grid inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints defining the grid.
-
- \exception std::invalid_argument
- Thrown if the constraint system \p cs contains inequality constraints.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Grid(const Constraint_System& cs);
-
- //! Builds a grid, recycling a system of constraints.
- /*!
- The grid inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints defining the grid. Its data-structures
- may be recycled to build the grid.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the constraint system \p cs contains inequality constraints.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- Grid(Constraint_System& cs, Recycle_Input dummy);
-
- //! Builds a grid, copying a system of grid generators.
- /*!
- The grid inherits the space dimension of the generator system.
-
- \param ggs
- The system of generators defining the grid.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Grid(const Grid_Generator_System& ggs);
-
- //! Builds a grid, recycling a system of grid generators.
- /*!
- The grid inherits the space dimension of the generator system.
-
- \param ggs
- The system of generators defining the grid. Its data-structures
- may be recycled to build the grid.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space dimension.
- */
- Grid(Grid_Generator_System& ggs, Recycle_Input dummy);
-
- //! Builds a grid out of a box.
- /*!
- The grid inherits the space dimension of the box.
- The built grid is the most precise grid that includes the box.
-
- \param box
- The box representing the grid to be built.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum
- allowed space dimension.
- */
- template <typename Interval>
- explicit Grid(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a grid out of a bounded-difference shape.
- /*!
- The grid inherits the space dimension of the BDS.
- The built grid is the most precise grid that includes the BDS.
-
- \param bd
- The BDS representing the grid to be built.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p bd exceeds the maximum
- allowed space dimension.
- */
- template <typename U>
- explicit Grid(const BD_Shape<U>& bd,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a grid out of an octagonal shape.
- /*!
- The grid inherits the space dimension of the octagonal shape.
- The built grid is the most precise grid that includes the octagonal shape.
-
- \param os
- The octagonal shape representing the grid to be built.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p os exceeds the maximum
- allowed space dimension.
- */
- template <typename U>
- explicit Grid(const Octagonal_Shape<U>& os,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- Builds a grid from a polyhedron using algorithms whose complexity
- does not exceed the one specified by \p complexity.
- If \p complexity is \p ANY_COMPLEXITY, then the grid built is the
- smallest one containing \p ph.
-
- The grid inherits the space dimension of polyhedron.
-
- \param ph
- The polyhedron.
-
- \param complexity
- The complexity class.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Grid(const Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- Grid(const Grid& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator. (\p *this and \p y can be
- dimension-incompatible.)
- */
- Grid& operator=(const Grid& y);
-
- //! \name Member Functions that Do Not Modify the Grid
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns \f$0\f$, if \p *this is empty; otherwise, returns
- the \ref Grid_Affine_Dimension "affine dimension" of \p *this.
- */
- dimension_type affine_dimension() const;
-
- /*! \brief
- Returns a system of equality constraints satisfied by \p *this
- with the same affine dimension as \p *this.
- */
- Constraint_System constraints() const;
-
- /*! \brief
- Returns a minimal system of equality constraints satisfied by
- \p *this with the same affine dimension as \p *this.
- */
- Constraint_System minimized_constraints() const;
-
- //! Returns the system of congruences.
- const Congruence_System& congruences() const;
-
- //! Returns the system of congruences in minimal form.
- const Congruence_System& minimized_congruences() const;
-
- //! Returns the system of generators.
- const Grid_Generator_System& grid_generators() const;
-
- //! Returns the minimized system of generators.
- const Grid_Generator_System& minimized_grid_generators() const;
-
- //! Returns the relations holding between \p *this and \p cg.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- // FIXME: Poly_Con_Relation seems to encode exactly what we want
- // here. We must find a new name for that class. Temporarily,
- // we keep using it without changing the name.
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- //! Returns the relations holding between \p *this and \p g.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- // FIXME: see the comment for Poly_Con_Relation above.
- Poly_Gen_Relation
- relation_with(const Grid_Generator& g) const;
-
- //! Returns the relations holding between \p *this and \p g.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- // FIXME: see the comment for Poly_Con_Relation above.
- Poly_Gen_Relation
- relation_with(const Generator& g) const;
-
- //! Returns the relations holding between \p *this and \p c.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- // FIXME: Poly_Con_Relation seems to encode exactly what we want
- // here. We must find a new name for that class. Temporarily,
- // we keep using it without changing the name.
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- //! Returns \c true if and only if \p *this is an empty grid.
- bool is_empty() const;
-
- //! Returns \c true if and only if \p *this is a universe grid.
- bool is_universe() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is a
- topologically closed subset of the vector space.
-
- A grid is always topologically closed.
- */
- bool is_topologically_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- disjoint.
-
- \exception std::invalid_argument
- Thrown if \p x and \p y are dimension-incompatible.
- */
- bool is_disjoint_from(const Grid& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
- /*!
- A grid is discrete if it can be defined by a generator system which
- contains only points and parameters. This includes the empty grid
- and any grid in dimension zero.
- */
- bool is_discrete() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is bounded.
- bool is_bounded() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains at least one integer point.
- */
- bool contains_integer_point() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- bool constrains(Variable var) const;
-
- //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
- /*!
- This method is the same as bounds_from_below.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
- /*!
- This method is the same as bounds_from_above.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from above in \p *this, in which case the
- supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if the supremum value can be reached in \p this.
- Always <CODE>true</CODE> when \p this bounds \p expr. Present for
- interface compatibility with class Polyhedron, where closure
- points can result in a value of false.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded by \p *this,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d and \p
- maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from above in \p *this, in which case the
- supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if the supremum value can be reached in \p this.
- Always <CODE>true</CODE> when \p this bounds \p expr. Present for
- interface compatibility with class Polyhedron, where closure
- points can result in a value of false;
-
- \param point
- When maximization succeeds, will be assigned a point where \p expr
- reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded by \p *this,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p point are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& point) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from below in \p *this, in which case the
- infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if the is the infimum value can be reached in \p
- this. Always <CODE>true</CODE> when \p this bounds \p expr.
- Present for interface compatibility with class Polyhedron, where
- closure points can result in a value of false.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from below in \p *this, in which case the
- infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if the is the infimum value can be reached in \p
- this. Always <CODE>true</CODE> when \p this bounds \p expr.
- Present for interface compatibility with class Polyhedron, where
- closure points can result in a value of false;
-
- \param point
- When minimization succeeds, will be assigned a point where \p expr
- reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p point are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& point) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \ref Grid_Frequency "frequency" for \p *this with respect to \p expr
- is defined, in which case the frequency and the value for \p expr
- that is closest to zero are computed.
-
- \param expr
- The linear expression for which the frequency is needed;
-
- \param freq_n
- The numerator of the maximum frequency of \p expr;
-
- \param freq_d
- The denominator of the maximum frequency of \p expr;
-
- \param val_n
- The numerator of them value of \p expr at a point in the grid
- that is closest to zero;
-
- \param val_d
- The denominator of a value of \p expr at a point in the grid
- that is closest to zero;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or frequency is undefined with respect to \p expr,
- then <CODE>false</CODE> is returned and \p freq_n, \p freq_d,
- \p val_n and \p val_d are left untouched.
- */
- bool frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool contains(const Grid& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this strictly
- contains \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool strictly_contains(const Grid& y) const;
-
- //! Checks if all the invariants are satisfied.
- /*!
- \return
- <CODE>true</CODE> if and only if \p *this satisfies all the
- invariants and either \p check_not_empty is <CODE>false</CODE> or
- \p *this is not empty.
-
- \param check_not_empty
- <CODE>true</CODE> if and only if, in addition to checking the
- invariants, \p *this must be checked to be not empty.
-
- The check is performed so as to intrude as little as possible. If
- the library has been compiled with run-time assertions enabled,
- error messages are written on <CODE>std::cerr</CODE> in case
- invariants are violated. This is useful for the purpose of
- debugging the library.
- */
- bool OK(bool check_not_empty = false) const;
-
- //@} // Member Functions that Do Not Modify the Grid
-
- //! \name Space Dimension Preserving Member Functions that May Modify the Grid
- //@{
-
- //! Adds a copy of congruence \p cg to \p *this.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are
- dimension-incompatible.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Adds a copy of grid generator \p g to the system of generators of
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible,
- or if \p *this is an empty grid and \p g is not a point.
- */
- void add_grid_generator(const Grid_Generator& g);
-
- //! Adds a copy of each congruence in \p cgs to \p *this.
- /*!
- \param cgs
- Contains the congruences that will be added to the system of
- congruences of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void add_congruences(const Congruence_System& cgs);
-
- //! Adds the congruences in \p cgs to *this.
- /*!
- \param cgs
- The congruence system to be added to \p *this. The congruences in
- \p cgs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
-
- \warning
- The only assumption that can be made about \p cgs upon successful
- or exceptional return is that it can be safely destroyed.
- */
- void add_recycled_congruences(Congruence_System& cgs);
-
- /*! \brief
- Adds to \p *this a congruence equivalent to constraint \p c.
-
- \param c
- The constraint to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible
- or if constraint \p c is not optimally supported by the grid domain.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds to \p *this congruences equivalent to the constraints in \p cs.
-
- \param cs
- The constraints to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible
- or if \p cs contains a constraint which is not optimally supported
- by the grid domain.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Adds to \p *this congruences equivalent to the constraints in \p cs.
-
- \param cs
- The constraints to be added. They may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible
- or if \p cs contains a constraint which is not optimally supported
- by the grid domain.
-
- \warning
- The only assumption that can be made about \p cs upon successful
- or exceptional return is that it can be safely destroyed.
- */
- void add_recycled_constraints(Constraint_System& cs);
-
- //! Uses a copy of the congruence \p cg to refine \p *this.
- /*!
- \param cg
- The congruence used.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- //! Uses a copy of the congruences in \p cgs to refine \p *this.
- /*!
- \param cgs
- The congruences used.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- //! Uses a copy of the constraint \p c to refine \p *this.
- /*!
-
- \param c
- The constraint used. If it is not an equality, it will be ignored
-
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- //! Uses a copy of the constraints in \p cs to refine \p *this.
- /*!
- \param cs
- The constraints used. Constraints that are not equalities are ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- /*! \brief
- Adds a copy of the generators in \p gs to the system of generators
- of \p *this.
-
- \param gs
- Contains the generators that will be added to the system of
- generators of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p gs are dimension-incompatible, or if
- \p *this is empty and the system of generators \p gs is not empty,
- but has no points.
- */
- void add_grid_generators(const Grid_Generator_System& gs);
-
- /*! \brief
- Adds the generators in \p gs to the system of generators of \p
- *this.
-
- \param gs
- The generator system to be added to \p *this. The generators in
- \p gs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p gs are dimension-incompatible.
-
- \warning
- The only assumption that can be made about \p gs upon successful
- or exceptional return is that it can be safely destroyed.
- */
- void add_recycled_grid_generators(Grid_Generator_System& gs);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- /*! \brief
- Assigns to \p *this the intersection of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void intersection_assign(const Grid& y);
-
- /*! \brief
- Assigns to \p *this the least upper bound of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void upper_bound_assign(const Grid& y);
-
- /*! \brief
- If the upper bound of \p *this and \p y is exact it is assigned to \p
- *this and <CODE>true</CODE> is returned, otherwise
- <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool upper_bound_assign_if_exact(const Grid& y);
-
- /*! \brief
- Assigns to \p *this the \ref Convex_Polyhedral_Difference "grid-difference"
- of \p *this and \p y.
-
- The grid difference between grids x and y is the smallest grid
- containing all the points from x and y that are only in x.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void difference_assign(const Grid& y);
-
- /*! \brief
- Assigns to \p *this a \ref Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
- If \c false is returned, then the intersection is empty.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool simplify_using_context_assign(const Grid& y);
-
- /*! \brief
- Assigns to \p *this the \ref Grid_Affine_Transformation
- "affine image" of \p
- *this under the function mapping variable \p var to the affine
- expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of
- \p *this.
-
- \if Include_Implementation_Details
-
- When considering the generators of a grid, the
- affine transformation
- \f[
- \frac{\sum_{i=0}^{n-1} a_i x_i + b}{\mathrm{denominator}}
- \f]
- is assigned to \p var where \p expr is
- \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
- (\f$b\f$ is the inhomogeneous term).
-
- If congruences are up-to-date, it uses the specialized function
- affine_preimage() (for the system of congruences)
- and inverse transformation to reach the same result.
- To obtain the inverse transformation we use the following observation.
-
- Observation:
- -# The affine transformation is invertible if the coefficient
- of \p var in this transformation (i.e., \f$a_\mathrm{var}\f$)
- is different from zero.
- -# If the transformation is invertible, then we can write
- \f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
- = a_\mathrm{var} x_\mathrm{var}
- + \sum_{i \neq var} a_i x_i + b,
- \f]
- so that the inverse transformation is
- \f[
- a_\mathrm{var} x_\mathrm{var}
- = \mathrm{denominator} * {x'}_\mathrm{var}
- - \sum_{i \neq j} a_i x_i - b.
- \f]
-
- Then, if the transformation is invertible, all the entities that
- were up-to-date remain up-to-date. Otherwise only generators remain
- up-to-date.
-
- \endif
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the \ref Grid_Affine_Transformation
- "affine preimage" of
- \p *this under the function mapping variable \p var to the affine
- expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is substituted;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this.
-
- \if Include_Implementation_Details
-
- When considering congruences of a grid, the affine transformation
- \f[
- \frac{\sum_{i=0}^{n-1} a_i x_i + b}{denominator},
- \f]
- is assigned to \p var where \p expr is
- \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
- (\f$b\f$ is the inhomogeneous term).
-
- If generators are up-to-date, then the specialized function
- affine_image() is used (for the system of generators)
- and inverse transformation to reach the same result.
- To obtain the inverse transformation, we use the following observation.
-
- Observation:
- -# The affine transformation is invertible if the coefficient
- of \p var in this transformation (i.e. \f$a_\mathrm{var}\f$)
- is different from zero.
- -# If the transformation is invertible, then we can write
- \f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
- = a_\mathrm{var} x_\mathrm{var}
- + \sum_{i \neq \mathrm{var}} a_i x_i + b,
- \f],
- the inverse transformation is
- \f[
- a_\mathrm{var} x_\mathrm{var}
- = \mathrm{denominator} * {x'}_\mathrm{var}
- - \sum_{i \neq j} a_i x_i - b.
- \f].
-
- Then, if the transformation is invertible, all the entities that
- were up-to-date remain up-to-date. Otherwise only congruences remain
- up-to-date.
-
- \endif
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to
- the \ref Grid_Generalized_Image "generalized affine relation"
- \f$\mathrm{var}' = \frac{\mathrm{expr}}{\mathrm{denominator}}
- \pmod{\mathrm{modulus}}\f$.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol where EQUAL is the symbol for a congruence
- relation;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression.
- Optional argument with an automatic value of one;
-
- \param modulus
- The modulus of the congruence lhs %= rhs. A modulus of zero
- indicates lhs == rhs. Optional argument with an automatic value
- of zero.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p
- *this.
- */
- void
- generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one(),
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Grid_Generalized_Image "generalized affine relation"
- \f$\mathrm{var}' = \frac{\mathrm{expr}}{\mathrm{denominator}}
- \pmod{\mathrm{modulus}}\f$.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol where EQUAL is the symbol for a congruence
- relation;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression.
- Optional argument with an automatic value of one;
-
- \param modulus
- The modulus of the congruence lhs %= rhs. A modulus of zero
- indicates lhs == rhs. Optional argument with an automatic value
- of zero.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p
- *this.
- */
- void
- generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one(),
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to
- the \ref Grid_Generalized_Image "generalized affine relation"
- \f$\mathrm{lhs}' = \mathrm{rhs} \pmod{\mathrm{modulus}}\f$.
-
- \param lhs
- The left hand side affine expression.
-
- \param relsym
- The relation symbol where EQUAL is the symbol for a congruence
- relation;
-
- \param rhs
- The right hand side affine expression.
-
- \param modulus
- The modulus of the congruence lhs %= rhs. A modulus of zero
- indicates lhs == rhs. Optional argument with an automatic value
- of zero.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p
- rhs.
- */
- void
- generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs,
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Grid_Generalized_Image "generalized affine relation"
- \f$\mathrm{lhs}' = \mathrm{rhs} \pmod{\mathrm{modulus}}\f$.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol where EQUAL is the symbol for a congruence
- relation;
-
- \param rhs
- The right hand side affine expression;
-
- \param modulus
- The modulus of the congruence lhs %= rhs. A modulus of zero
- indicates lhs == rhs. Optional argument with an automatic value
- of zero.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p
- rhs.
- */
- void
- generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs,
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
-
- /*!
- \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*!
- \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the result of computing the \ref Grid_Time_Elapse
- "time-elapse" between \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void time_elapse_assign(const Grid& y);
-
- /*! \brief
- \ref Wrapping_Operator "Wraps" the specified dimensions of the
- vector space.
-
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be wrapped.
-
- \param w
- The width of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param r
- The representation of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param o
- The overflow behavior of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param cs_p
- Possibly null pointer to a constraint system.
- This argument is for compatibility with wrap_assign()
- for the other domains and only checked for dimension-compatibility.
-
- \param complexity_threshold
- A precision parameter of the \ref Wrapping_Operator "wrapping operator".
- This argument is for compatibility with wrap_assign()
- for the other domains and is ignored.
-
- \param wrap_individually
- <CODE>true</CODE> if the dimensions should be wrapped individually.
- As wrapping dimensions collectively does not improve the precision,
- this argument is ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars or with <CODE>*cs_p</CODE>.
-
- \warning
- It is assumed that variables in \p Vars represent integers. Thus,
- where the extra cost is negligible, the integrality of these
- variables is enforced; possibly causing a non-integral grid to
- become empty.
- */
- void wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p = 0,
- unsigned complexity_threshold = 16,
- bool wrap_individually = true);
-
- /*! \brief
- Possibly tightens \p *this by dropping all points with non-integer
- coordinates.
-
- \param complexity
- This argument is ignored as the algorithm used has polynomial
- complexity.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping all points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- This argument is ignored as the algorithm used has polynomial
- complexity.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- /*! \brief
- Assigns to \p *this the result of computing the \ref Grid_Widening
- "Grid widening" between \p *this and \p y using congruence systems.
-
- \param y
- A grid that <EM>must</EM> be contained in \p *this;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void congruence_widening_assign(const Grid& y, unsigned* tp = NULL);
-
- /*! \brief
- Assigns to \p *this the result of computing the \ref Grid_Widening
- "Grid widening" between \p *this and \p y using generator systems.
-
- \param y
- A grid that <EM>must</EM> be contained in \p *this;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void generator_widening_assign(const Grid& y, unsigned* tp = NULL);
-
- /*! \brief
- Assigns to \p *this the result of computing the \ref Grid_Widening
- "Grid widening" between \p *this and \p y.
-
- This widening uses either the congruence or generator systems
- depending on which of the systems describing x and y
- are up to date and minimized.
-
- \param y
- A grid that <EM>must</EM> be contained in \p *this;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void widening_assign(const Grid& y, unsigned* tp = NULL);
-
- /*! \brief
- Improves the result of the congruence variant of
- \ref Grid_Widening "Grid widening" computation by also enforcing
- those congruences in \p cgs that are satisfied by all the points
- of \p *this.
-
- \param y
- A grid that <EM>must</EM> be contained in \p *this;
-
- \param cgs
- The system of congruences used to improve the widened grid;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
- */
- void limited_congruence_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp = NULL);
-
- /*! \brief
- Improves the result of the generator variant of the
- \ref Grid_Widening "Grid widening"
- computation by also enforcing those congruences in \p cgs that are
- satisfied by all the points of \p *this.
-
- \param y
- A grid that <EM>must</EM> be contained in \p *this;
-
- \param cgs
- The system of congruences used to improve the widened grid;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
- */
- void limited_generator_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp = NULL);
-
- /*! \brief
- Improves the result of the \ref Grid_Widening "Grid widening"
- computation by also enforcing those congruences in \p cgs that are
- satisfied by all the points of \p *this.
-
- \param y
- A grid that <EM>must</EM> be contained in \p *this;
-
- \param cgs
- The system of congruences used to improve the widened grid;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
- */
- void limited_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp = NULL);
-
- //@} // Space Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- /*! \brief
- \ref Adding_New_Dimensions_to_the_Vector_Space "Adds"
- \p m new space dimensions and embeds the old grid in the new
- vector space.
-
- \param m
- The number of dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the vector
- space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- The new space dimensions will be those having the highest indexes
- in the new grid, which is characterized by a system of congruences
- in which the variables which are the new dimensions can have any
- value. For instance, when starting from the grid \f$\cL \sseq
- \Rset^2\f$ and adding a third space dimension, the result will be
- the grid
- \f[
- \bigl\{\,
- (x, y, z)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cL
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- \ref Adding_New_Dimensions_to_the_Vector_Space "Adds"
- \p m new space dimensions to the grid and does not embed it
- in the new vector space.
-
- \param m
- The number of space dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- The new space dimensions will be those having the highest indexes
- in the new grid, which is characterized by a system of congruences
- in which the variables running through the new dimensions are all
- constrained to be equal to 0. For instance, when starting from
- the grid \f$\cL \sseq \Rset^2\f$ and adding a third space
- dimension, the result will be the grid
- \f[
- \bigl\{\,
- (x, y, 0)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cL
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- /*! \brief
- Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation" of
- \p *this and \p y, taken in this order.
-
- \exception std::length_error
- Thrown if the concatenation would cause the vector space
- to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void concatenate_assign(const Grid& y);
-
- //! Removes all the specified dimensions from the vector space.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher dimensions of the vector space so that the
- resulting space will have \ref Removing_Dimensions_from_the_Vector_Space
- "dimension \p new_dimension."
-
- \exception std::invalid_argument
- Thrown if \p new_dimensions is greater than the space dimension of
- \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
-
- If \p pfunc maps only some of the dimensions of \p *this then the
- rest will be projected away.
-
- If the highest dimension mapped to by \p pfunc is higher than the
- highest dimension in \p *this then the number of dimensions in \p
- *this will be increased to the highest dimension mapped to by \p
- pfunc.
-
- \param pfunc
- The partial function specifying the destiny of each space
- dimension.
-
- The template type parameter Partial_Function must provide
- the following methods.
- \code
- bool has_empty_codomain() const
- \endcode
- returns <CODE>true</CODE> if and only if the represented partial
- function has an empty codomain (i.e., it is always undefined).
- The <CODE>has_empty_codomain()</CODE> method will always be called
- before the methods below. However, if
- <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
- of the functions below will be called.
- \code
- dimension_type max_in_codomain() const
- \endcode
- returns the maximum value that belongs to the codomain of the
- partial function.
- The <CODE>max_in_codomain()</CODE> method is called at most once.
- \code
- bool maps(dimension_type i, dimension_type& j) const
- \endcode
- Let \f$f\f$ be the represented function and \f$k\f$ be the value
- of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
- assigned to \p j and <CODE>true</CODE> is returned. If \f$f\f$ is
- undefined in \f$k\f$, then <CODE>false</CODE> is returned.
- This method is called at most \f$n\f$ times, where \f$n\f$ is the
- dimension of the vector space enclosing the grid.
-
- The result is undefined if \p pfunc does not encode a partial
- function with the properties described in the
- \ref Mapping_the_Dimensions_of_the_Vector_Space "specification of the mapping operator".
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector
- space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the vector
- space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref Expanding_One_Dimension_of_the_Vector_Space_to_Multiple_Dimensions
- "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars. Also
- thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are
- \ref Folding_Multiple_Dimensions_of_the_Vector_Space_into_One_Dimension "folded"
- into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
- friend bool operator==(const Grid& x, const Grid& y);
-
- friend class Parma_Polyhedra_Library::Grid_Certificate;
-
- template <typename Interval> friend class Parma_Polyhedra_Library::Box;
-
- //! \name Miscellaneous Member Functions
- //@{
-
- //! Destructor.
- ~Grid();
-
- /*! \brief
- Swaps \p *this with grid \p y. (\p *this and \p y can be
- dimension-incompatible.)
- */
- void m_swap(Grid& y);
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If \p x and \p y are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- //@} // Miscellaneous Member Functions
-
-private:
-
- //! The system of congruences.
- Congruence_System con_sys;
-
- //! The system of generators.
- Grid_Generator_System gen_sys;
-
-#define PPL_IN_Grid_CLASS
-#include "Grid_Status.idefs.hh"
-#undef PPL_IN_Grid_CLASS
-
- //! The status flags to keep track of the grid's internal state.
- Status status;
-
- //! The number of dimensions of the enclosing vector space.
- dimension_type space_dim;
-
- enum Dimension_Kind {
- PARAMETER = 0,
- LINE = 1,
- GEN_VIRTUAL = 2,
- PROPER_CONGRUENCE = PARAMETER,
- CON_VIRTUAL = LINE,
- EQUALITY = GEN_VIRTUAL
- };
-
- typedef std::vector<Dimension_Kind> Dimension_Kinds;
-
- // The type of row associated with each dimension. If the virtual
- // rows existed then the reduced systems would be square and upper
- // or lower triangular, and the rows in each would have the types
- // given in this vector. As the congruence system is reduced to an
- // upside-down lower triangular form the ordering of the congruence
- // types is last to first.
- Dimension_Kinds dim_kinds;
-
- //! Builds a grid universe or empty grid.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the grid;
-
- \param kind
- specifies whether the universe or the empty grid has to be built.
- */
- void construct(dimension_type num_dimensions, Degenerate_Element kind);
-
- //! Builds a grid from a system of congruences.
- /*!
- The grid inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences defining the grid. Its data-structures
- may be recycled to build the grid.
- */
- void construct(Congruence_System& cgs);
-
- //! Builds a grid from a system of grid generators.
- /*!
- The grid inherits the space dimension of the generator system.
-
- \param ggs
- The system of grid generators defining the grid. Its data-structures
- may be recycled to build the grid.
- */
- void construct(Grid_Generator_System& ggs);
-
- //! \name Private Verifiers: Verify if Individual Flags are Set
- //@{
-
- //! Returns <CODE>true</CODE> if the grid is known to be empty.
- /*!
- The return value <CODE>false</CODE> does not necessarily
- implies that \p *this is non-empty.
- */
- bool marked_empty() const;
-
- //! Returns <CODE>true</CODE> if the system of congruences is up-to-date.
- bool congruences_are_up_to_date() const;
-
- //! Returns <CODE>true</CODE> if the system of generators is up-to-date.
- bool generators_are_up_to_date() const;
-
- //! Returns <CODE>true</CODE> if the system of congruences is minimized.
- bool congruences_are_minimized() const;
-
- //! Returns <CODE>true</CODE> if the system of generators is minimized.
- bool generators_are_minimized() const;
-
- //@} // Private Verifiers: Verify if Individual Flags are Set
-
- //! \name State Flag Setters: Set Only the Specified Flags
- //@{
-
- /*! \brief
- Sets \p status to express that the grid is the universe
- 0-dimension vector space, clearing all corresponding matrices.
- */
- void set_zero_dim_univ();
-
- /*! \brief
- Sets \p status to express that the grid is empty, clearing all
- corresponding matrices.
- */
- void set_empty();
-
- //! Sets \p status to express that congruences are up-to-date.
- void set_congruences_up_to_date();
-
- //! Sets \p status to express that generators are up-to-date.
- void set_generators_up_to_date();
-
- //! Sets \p status to express that congruences are minimized.
- void set_congruences_minimized();
-
- //! Sets \p status to express that generators are minimized.
- void set_generators_minimized();
-
- //@} // State Flag Setters: Set Only the Specified Flags
-
- //! \name State Flag Cleaners: Clear Only the Specified Flag
- //@{
-
- //! Clears the \p status flag indicating that the grid is empty.
- void clear_empty();
-
- //! Sets \p status to express that congruences are out of date.
- void clear_congruences_up_to_date();
-
- //! Sets \p status to express that generators are out of date.
- void clear_generators_up_to_date();
-
- //! Sets \p status to express that congruences are no longer minimized.
- void clear_congruences_minimized();
-
- //! Sets \p status to express that generators are no longer minimized.
- void clear_generators_minimized();
-
- //@} // State Flag Cleaners: Clear Only the Specified Flag
-
- //! \name Updating Matrices
- //@{
-
- //! Updates and minimizes the congruences from the generators.
- void update_congruences() const;
-
- //! Updates and minimizes the generators from the congruences.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty grid.
-
- It is illegal to call this method when the Status field already
- declares the grid to be empty.
- */
- bool update_generators() const;
-
- //@} // Updating Matrices
-
- //! \name Minimization of Descriptions
- //@{
-
- //! Minimizes both the congruences and the generators.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty grid.
-
- Minimization is performed on each system only if the minimized
- Status field is clear.
- */
- bool minimize() const;
-
- //@} // Minimization of Descriptions
-
- enum Three_Valued_Boolean {
- TVB_TRUE,
- TVB_FALSE,
- TVB_DONT_KNOW
- };
-
- //! Polynomial but incomplete equivalence test between grids.
- Three_Valued_Boolean quick_equivalence_test(const Grid& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is included in \p y.
- bool is_included_in(const Grid& y) const;
-
- //! Checks if and how \p expr is bounded in \p *this.
- /*!
- Returns <CODE>true</CODE> if and only if \p from_above is
- <CODE>true</CODE> and \p expr is bounded from above in \p *this,
- or \p from_above is <CODE>false</CODE> and \p expr is bounded
- from below in \p *this.
-
- \param expr
- The linear expression to test;
-
- \param method_call
- The call description of the public parent method, for example
- "bounded_from_above(e)". Passed to throw_dimension_incompatible,
- as the first argument.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds(const Linear_Expression& expr, const char* method_call) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p
- *this;
-
- \param method_call
- The call description of the public parent method, for example
- "maximize(e)". Passed to throw_dimension_incompatible, as the
- first argument;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr in \p
- *this can actually be reached (which is always the case);
-
- \param point
- When maximization or minimization succeeds, will be assigned the
- point where \p expr reaches the extremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p point are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- const char* method_call,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator* point = NULL) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \ref Grid_Frequency "frequency" for \p *this with respect to \p expr
- is defined, in which case the frequency and the value for \p expr
- that is closest to zero are computed.
-
- \param expr
- The linear expression for which the frequency is needed;
-
- \param freq_n
- The numerator of the maximum frequency of \p expr;
-
- \param freq_d
- The denominator of the maximum frequency of \p expr;
-
- \param val_n
- The numerator of a value of \p expr at a point in the grid
- that is closest to zero;
-
- \param val_d
- The denominator of a value of \p expr at a point in the grid
- that is closest to zero;
-
- If \p *this is empty or frequency is undefined with respect to \p expr,
- then <CODE>false</CODE> is returned and \p freq_n, \p freq_d,
- \p val_n and \p val_d are left untouched.
-
- \warning
- If \p expr and \p *this are dimension-incompatible,
- the grid generator system is not minimized or \p *this is
- empty, then the behavior is undefined.
- */
- bool frequency_no_check(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
-
- //! Checks if and how \p expr is bounded in \p *this.
- /*!
- Returns <CODE>true</CODE> if and only if \p from_above is
- <CODE>true</CODE> and \p expr is bounded from above in \p *this,
- or \p from_above is <CODE>false</CODE> and \p expr is bounded
- from below in \p *this.
-
- \param expr
- The linear expression to test;
- */
- bool bounds_no_check(const Linear_Expression& expr) const;
-
- /*! \brief
- Adds the congruence \p cg to \p *this.
-
- \warning
- If \p cg and \p *this are dimension-incompatible,
- the grid generator system is not minimized or \p *this is
- empty, then the behavior is undefined.
- */
- void add_congruence_no_check(const Congruence& cg);
-
- /*! \brief
- Uses the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be added.
-
- \exception std::invalid_argument
- Thrown if c is a non-trivial inequality constraint.
-
- \warning
- If \p c and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void add_constraint_no_check(const Constraint& c);
-
- /*! \brief
- Uses the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be added.
- Non-trivial inequalities are ignored.
-
- \warning
- If \p c and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Constraint& c);
-
- //! \name Widening- and Extrapolation-Related Functions
- //@{
-
- //! Copies a widened selection of congruences from \p y to \p selected_cgs.
- void select_wider_congruences(const Grid& y,
- Congruence_System& selected_cgs) const;
-
- //! Copies widened generators from \p y to \p widened_ggs.
- void select_wider_generators(const Grid& y,
- Grid_Generator_System& widened_ggs) const;
-
- //@} // Widening- and Extrapolation-Related Functions
-
- //! Adds new space dimensions to the given systems.
- /*!
- \param cgs
- A congruence system, to which columns are added;
-
- \param gs
- A generator system, to which rows and columns are added;
-
- \param dims
- The number of space dimensions to add.
-
- This method is invoked only by
- <CODE>add_space_dimensions_and_embed()</CODE>.
- */
- void add_space_dimensions(Congruence_System& cgs,
- Grid_Generator_System& gs,
- dimension_type dims);
-
- //! Adds new space dimensions to the given systems.
- /*!
- \param gs
- A generator system, to which columns are added;
-
- \param cgs
- A congruence system, to which rows and columns are added;
-
- \param dims
- The number of space dimensions to add.
-
- This method is invoked only by
- <CODE>add_space_dimensions_and_project()</CODE>.
- */
- void add_space_dimensions(Grid_Generator_System& gs,
- Congruence_System& cgs,
- dimension_type dims);
-
- //! \name Minimization-related Static Member Functions
- //@{
-
- //! Normalizes the divisors in \p sys.
- /*!
- Converts \p sys to an equivalent system in which the divisors are
- of equal value.
-
- \param sys
- The generator system to be normalized. It must have at least one
- row.
-
- \param divisor
- A reference to the initial value of the divisor. The resulting
- value of this object is the new system divisor.
-
- \param first_point
- If \p first_point has a value other than NULL then it is taken as
- the first point in \p sys, and it is assumed that any following
- points have the same divisor as \p first_point.
- */
- static void
- normalize_divisors(Grid_Generator_System& sys,
- Coefficient& divisor,
- const Grid_Generator* first_point = NULL);
-
- //! Normalizes the divisors in \p sys.
- /*!
- Converts \p sys to an equivalent system in which the divisors are
- of equal value.
-
- \param sys
- The generator system to be normalized. It must have at least one
- row.
- */
- static void
- normalize_divisors(Grid_Generator_System& sys);
-
- //! Normalize all the divisors in \p sys and \p gen_sys.
- /*!
- Modify \p sys and \p gen_sys to use the same single divisor value
- for all generators, leaving each system representing the grid it
- represented originally.
-
- \param sys
- The first of the generator systems to be normalized.
-
- \param gen_sys
- The second of the generator systems to be normalized. This system
- must have at least one row and the divisors of the generators in
- this system must be equal.
-
- \exception std::runtime_error
- Thrown if all rows in \p gen_sys are lines and/or parameters.
- */
- static void normalize_divisors(Grid_Generator_System& sys,
- Grid_Generator_System& gen_sys);
-
- /*! \brief
- Converts generator system \p dest to be equivalent to congruence
- system \p source.
- */
- static void conversion(Congruence_System& source,
- Grid_Generator_System& dest,
- Dimension_Kinds& dim_kinds);
-
- /*! \brief
- Converts congruence system \p dest to be equivalent to generator
- system \p source.
- */
- static void conversion(Grid_Generator_System& source,
- Congruence_System& dest,
- Dimension_Kinds& dim_kinds);
-
- //! Converts \p cgs to upper triangular (i.e. minimized) form.
- /*!
- Returns <CODE>true</CODE> if \p cgs represents the empty set,
- otherwise returns <CODE>false</CODE>.
- */
- static bool simplify(Congruence_System& cgs,
- Dimension_Kinds& dim_kinds);
-
- //! Converts \p gs to lower triangular (i.e. minimized) form.
- /*!
- Expects \p gs to contain at least one point.
- */
- static void simplify(Grid_Generator_System& ggs,
- Dimension_Kinds& dim_kinds);
-
- //! Reduces the line \p row using the line \p pivot.
- /*!
- Uses the line \p pivot to change the representation of the line
- \p row so that the element at index \p column of \p row is zero.
- */
- // A member of Grid for access to Matrix<Dense_Row>::rows.
- static void reduce_line_with_line(Grid_Generator& row,
- Grid_Generator& pivot,
- dimension_type column);
-
- //! Reduces the equality \p row using the equality \p pivot.
- /*!
- Uses the equality \p pivot to change the representation of the
- equality \p row so that the element at index \p column of \p row
- is zero.
- */
- // A member of Grid for access to Matrix<Dense_Row>::rows.
- static void reduce_equality_with_equality(Congruence& row,
- const Congruence& pivot,
- dimension_type column);
-
- //! Reduces \p row using \p pivot.
- /*!
- Uses the point, parameter or proper congruence at \p pivot to
- change the representation of the point, parameter or proper
- congruence at \p row so that the element at index \p column of \p row
- is zero. Only elements from index \p start to index \p end are
- modified (i.e. it is assumed that all other elements are zero).
- This means that \p col must be in [start,end).
-
- NOTE: This may invalidate the rows, since it messes with the divisors.
- Client code has to fix that (if needed) and assert OK().
- */
- // Part of Grid for access to Matrix<Dense_Row>::rows.
- template <typename R>
- static void reduce_pc_with_pc(R& row,
- R& pivot,
- dimension_type column,
- dimension_type start,
- dimension_type end);
-
- //! Reduce \p row using \p pivot.
- /*!
- Use the line \p pivot to change the representation of the
- parameter \p row such that the element at index \p column of \p row
- is zero.
- */
- // This takes a parameter with type Swapping_Vector<Grid_Generator> (instead
- // of Grid_Generator_System) to simplify the implementation of `simplify()'.
- // NOTE: This may invalidate `row' and the rows in `sys'. Client code must
- // fix/check this.
- static void reduce_parameter_with_line(Grid_Generator& row,
- const Grid_Generator& pivot,
- dimension_type column,
- Swapping_Vector<Grid_Generator>& sys,
- dimension_type num_columns);
-
- //! Reduce \p row using \p pivot.
- /*!
- Use the equality \p pivot to change the representation of the
- congruence \p row such that element at index \p column of \p row
- is zero.
- */
- // A member of Grid for access to Matrix<Dense_Row>::rows.
- // This takes a parameter with type Swapping_Vector<Congruence> (instead of
- // Congruence_System) to simplify the implementation of `conversion()'.
- static void reduce_congruence_with_equality(Congruence& row,
- const Congruence& pivot,
- dimension_type column,
- Swapping_Vector<Congruence>& sys);
-
- //! Reduce column \p dim in rows preceding \p pivot_index in \p sys.
- /*!
- Required when converting (or simplifying) a congruence or generator
- system to "strong minimal form"; informally, strong minimal form means
- that, not only is the system in minimal form (ie a triangular matrix),
- but also the absolute values of the coefficients of the proper congruences
- and parameters are minimal. As a simple example, the set of congruences
- \f$\{3x \equiv_3 0, 4x + y \equiv_3 1\}\f$,
- (which is in minimal form) is equivalent to the set
- \f$\{3x \equiv_3 0, x + y \equiv_3 1\}\f$
- (which is in strong minimal form).
-
- \param sys
- The generator or congruence system to be reduced to strong minimal form.
-
- \param dim
- Column to be reduced.
-
- \param pivot_index
- Index of last row to be reduced.
-
- \param start
- Index of first column to be changed.
-
- \param end
- Index of last column to be changed.
-
- \param sys_dim_kinds
- Dimension kinds of the elements of \p sys.
-
- \param generators
- Flag indicating whether \p sys is a congruence or generator system
- */
- template <typename M>
- // This takes a parameter with type `Swapping_Vector<M::row_type>'
- // instead of `M' to simplify the implementation of simplify().
- // NOTE: This may invalidate the rows in `sys'. Client code must
- // fix/check this.
- static void reduce_reduced(Swapping_Vector<typename M::row_type>& sys,
- dimension_type dim,
- dimension_type pivot_index,
- dimension_type start, dimension_type end,
- const Dimension_Kinds& sys_dim_kinds,
- bool generators = true);
-
- //! Multiply the elements of \p dest by \p multiplier.
- // A member of Grid for access to Matrix<Dense_Row>::rows and cgs::operator[].
- // The type of `dest' is Swapping_Vector<Congruence> instead of
- // Congruence_System to simplify the implementation of conversion().
- static void multiply_grid(const Coefficient& multiplier,
- Congruence& cg,
- Swapping_Vector<Congruence>& dest,
- dimension_type num_rows);
-
- //! Multiply the elements of \p dest by \p multiplier.
- // A member of Grid for access to Grid_Generator::operator[].
- // The type of `dest' is Swapping_Vector<Grid_Generator> instead of
- // Grid_Generator_System to simplify the implementation of conversion().
- // NOTE: This does not check whether the rows are OK(). Client code
- // should do that.
- static void multiply_grid(const Coefficient& multiplier,
- Grid_Generator& gen,
- Swapping_Vector<Grid_Generator>& dest,
- dimension_type num_rows);
-
- /*! \brief
- If \p sys is lower triangular return <CODE>true</CODE>, else
- return <CODE>false</CODE>.
- */
- static bool lower_triangular(const Congruence_System& sys,
- const Dimension_Kinds& dim_kinds);
-
- /*! \brief
- If \p sys is upper triangular return <CODE>true</CODE>, else
- return <CODE>false</CODE>.
- */
- static bool upper_triangular(const Grid_Generator_System& sys,
- const Dimension_Kinds& dim_kinds);
-
-#ifndef NDEBUG
- //! Checks that trailing rows contain only zero terms.
- /*!
- If all columns contain zero in the rows of \p system from row
- index \p first to row index \p last then return <code>true</code>,
- else return <code>false</code>. \p row_size gives the number of
- columns in each row.
-
- This method is only used in assertions in the simplify methods.
- */
- template <typename M, typename R>
- static bool rows_are_zero(M& system,
- dimension_type first,
- dimension_type last,
- dimension_type row_size);
-#endif
-
- //@} // Minimization-Related Static Member Functions
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \name Exception Throwers
- //@{
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-protected:
- void throw_dimension_incompatible(const char* method,
- const char* other_name,
- dimension_type other_dim) const;
- void throw_dimension_incompatible(const char* method,
- const char* gr_name,
- const Grid& gr) const;
- void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
- void throw_dimension_incompatible(const char* method,
- const char* cg_name,
- const Congruence& cg) const;
- void throw_dimension_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const;
- void throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Grid_Generator& g) const;
- void throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const;
- void throw_dimension_incompatible(const char* method,
- const char* cgs_name,
- const Congruence_System& cgs) const;
- void throw_dimension_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const;
- void throw_dimension_incompatible(const char* method,
- const char* gs_name,
- const Grid_Generator_System& gs) const;
- void throw_dimension_incompatible(const char* method,
- const char* var_name,
- Variable var) const;
- void throw_dimension_incompatible(const char* method,
- dimension_type required_space_dim) const;
-
- static void throw_invalid_argument(const char* method,
- const char* reason);
- static void throw_invalid_constraint(const char* method,
- const char* c_name);
- static void throw_invalid_constraints(const char* method,
- const char* cs_name);
- static void throw_invalid_generator(const char* method,
- const char* g_name);
- static void throw_invalid_generators(const char* method,
- const char* gs_name);
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //@} // Exception Throwers
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-};
-
-#include "Grid_Status.inlines.hh"
-#include "Grid.inlines.hh"
-#include "Grid.templates.hh"
-
-#endif // !defined(PPL_Grid_defs_hh)
diff --git a/src/Grid.inlines.hh b/src/Grid.inlines.hh
deleted file mode 100644
index 58c7eec..0000000
--- a/src/Grid.inlines.hh
+++ /dev/null
@@ -1,383 +0,0 @@
-/* Grid class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_inlines_hh
-#define PPL_Grid_inlines_hh 1
-
-#include "Grid_Generator.defs.hh"
-#include "Grid_Generator_System.defs.hh"
-#include "Grid_Generator_System.inlines.hh"
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-inline bool
-Grid::marked_empty() const {
- return status.test_empty();
-}
-
-inline bool
-Grid::congruences_are_up_to_date() const {
- return status.test_c_up_to_date();
-}
-
-inline bool
-Grid::generators_are_up_to_date() const {
- return status.test_g_up_to_date();
-}
-
-inline bool
-Grid::congruences_are_minimized() const {
- return status.test_c_minimized();
-}
-
-inline bool
-Grid::generators_are_minimized() const {
- return status.test_g_minimized();
-}
-
-inline void
-Grid::set_generators_up_to_date() {
- status.set_g_up_to_date();
-}
-
-inline void
-Grid::set_congruences_up_to_date() {
- status.set_c_up_to_date();
-}
-
-inline void
-Grid::set_congruences_minimized() {
- set_congruences_up_to_date();
- status.set_c_minimized();
-}
-
-inline void
-Grid::set_generators_minimized() {
- set_generators_up_to_date();
- status.set_g_minimized();
-}
-
-inline void
-Grid::clear_empty() {
- status.reset_empty();
-}
-
-inline void
-Grid::clear_congruences_minimized() {
- status.reset_c_minimized();
-}
-
-inline void
-Grid::clear_generators_minimized() {
- status.reset_g_minimized();
-}
-
-inline void
-Grid::clear_congruences_up_to_date() {
- clear_congruences_minimized();
- status.reset_c_up_to_date();
- // Can get rid of con_sys here.
-}
-
-inline void
-Grid::clear_generators_up_to_date() {
- clear_generators_minimized();
- status.reset_g_up_to_date();
- // Can get rid of gen_sys here.
-}
-
-inline dimension_type
-Grid::max_space_dimension() {
- // One dimension is reserved to have a value of type dimension_type
- // that does not represent a legal dimension.
- return std::min(std::numeric_limits<dimension_type>::max() - 1,
- std::min(Congruence_System::max_space_dimension(),
- Grid_Generator_System::max_space_dimension()
- )
- );
-}
-
-inline
-Grid::Grid(dimension_type num_dimensions,
- const Degenerate_Element kind)
- : con_sys(),
- gen_sys(check_space_dimension_overflow(num_dimensions,
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(n, k)",
- "n exceeds the maximum "
- "allowed space dimension")) {
- construct(num_dimensions, kind);
- PPL_ASSERT(OK());
-}
-
-inline
-Grid::Grid(const Congruence_System& cgs)
- : con_sys(check_space_dimension_overflow(cgs.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(cgs)",
- "the space dimension of cgs "
- "exceeds the maximum allowed "
- "space dimension")),
- gen_sys(cgs.space_dimension()) {
- Congruence_System cgs_copy(cgs);
- construct(cgs_copy);
-}
-
-inline
-Grid::Grid(Congruence_System& cgs, Recycle_Input)
- : con_sys(check_space_dimension_overflow(cgs.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(cgs, recycle)",
- "the space dimension of cgs "
- "exceeds the maximum allowed "
- "space dimension")),
- gen_sys(cgs.space_dimension()) {
- construct(cgs);
-}
-
-inline
-Grid::Grid(const Grid_Generator_System& ggs)
- : con_sys(check_space_dimension_overflow(ggs.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(ggs)",
- "the space dimension of ggs "
- "exceeds the maximum allowed "
- "space dimension")),
- gen_sys(ggs.space_dimension()) {
- Grid_Generator_System ggs_copy(ggs);
- construct(ggs_copy);
-}
-
-inline
-Grid::Grid(Grid_Generator_System& ggs, Recycle_Input)
- : con_sys(check_space_dimension_overflow(ggs.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(ggs, recycle)",
- "the space dimension of ggs "
- "exceeds the maximum allowed "
- "space dimension")),
- gen_sys(ggs.space_dimension()) {
- construct(ggs);
-}
-
-template <typename U>
-inline
-Grid::Grid(const BD_Shape<U>& bd, Complexity_Class)
- : con_sys(check_space_dimension_overflow(bd.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(bd)",
- "the space dimension of bd "
- "exceeds the maximum allowed "
- "space dimension")),
- gen_sys(bd.space_dimension()) {
- Congruence_System cgs = bd.congruences();
- construct(cgs);
-}
-
-template <typename U>
-inline
-Grid::Grid(const Octagonal_Shape<U>& os, Complexity_Class)
- : con_sys(check_space_dimension_overflow(os.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(os)",
- "the space dimension of os "
- "exceeds the maximum allowed "
- "space dimension")),
- gen_sys(os.space_dimension()) {
- Congruence_System cgs = os.congruences();
- construct(cgs);
-}
-
-inline
-Grid::~Grid() {
-}
-
-inline dimension_type
-Grid::space_dimension() const {
- return space_dim;
-}
-
-inline memory_size_type
-Grid::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline int32_t
-Grid::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-inline Constraint_System
-Grid::constraints() const {
- return Constraint_System(congruences());
-}
-
-inline Constraint_System
-Grid::minimized_constraints() const {
- return Constraint_System(minimized_congruences());
-}
-
-inline void
-Grid::m_swap(Grid& y) {
- using std::swap;
- swap(con_sys, y.con_sys);
- swap(gen_sys, y.gen_sys);
- swap(status, y.status);
- swap(space_dim, y.space_dim);
- swap(dim_kinds, y.dim_kinds);
-}
-
-inline void
-Grid::add_congruence(const Congruence& cg) {
- // Dimension-compatibility check.
- if (space_dim < cg.space_dimension())
- throw_dimension_incompatible("add_congruence(cg)", "cg", cg);
-
- if (!marked_empty())
- add_congruence_no_check(cg);
-}
-
-inline void
-Grid::add_congruences(const Congruence_System& cgs) {
- // TODO: this is just an executable specification.
- // Space dimension compatibility check.
- if (space_dim < cgs.space_dimension())
- throw_dimension_incompatible("add_congruences(cgs)", "cgs", cgs);
-
- if (!marked_empty()) {
- Congruence_System cgs_copy = cgs;
- add_recycled_congruences(cgs_copy);
- }
-}
-
-inline void
-Grid::refine_with_congruence(const Congruence& cg) {
- add_congruence(cg);
-}
-
-inline void
-Grid::refine_with_congruences(const Congruence_System& cgs) {
- add_congruences(cgs);
-}
-
-inline bool
-Grid::can_recycle_constraint_systems() {
- return true;
-}
-
-inline bool
-Grid::can_recycle_congruence_systems() {
- return true;
-}
-
-inline void
-Grid::add_constraint(const Constraint& c) {
- // Space dimension compatibility check.
- if (space_dim < c.space_dimension())
- throw_dimension_incompatible("add_constraint(c)", "c", c);
- if (!marked_empty())
- add_constraint_no_check(c);
-}
-
-inline void
-Grid::add_recycled_constraints(Constraint_System& cs) {
- // TODO: really recycle the constraints.
- add_constraints(cs);
-}
-
-inline bool
-Grid::bounds_from_above(const Linear_Expression& expr) const {
- return bounds(expr, "bounds_from_above(e)");
-}
-
-inline bool
-Grid::bounds_from_below(const Linear_Expression& expr) const {
- return bounds(expr, "bounds_from_below(e)");
-}
-
-inline bool
-Grid::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const {
- return max_min(expr, "maximize(e, ...)", sup_n, sup_d, maximum);
-}
-
-inline bool
-Grid::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& point) const {
- return max_min(expr, "maximize(e, ...)", sup_n, sup_d, maximum, &point);
-}
-
-inline bool
-Grid::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const {
- return max_min(expr, "minimize(e, ...)", inf_n, inf_d, minimum);
-}
-
-inline bool
-Grid::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& point) const {
- return max_min(expr, "minimize(e, ...)", inf_n, inf_d, minimum, &point);
-}
-
-inline void
-Grid::normalize_divisors(Grid_Generator_System& sys) {
- PPL_DIRTY_TEMP_COEFFICIENT(divisor);
- divisor = 1;
- normalize_divisors(sys, divisor);
-}
-
-/*! \relates Grid */
-inline bool
-operator!=(const Grid& x, const Grid& y) {
- return !(x == y);
-}
-
-inline bool
-Grid::strictly_contains(const Grid& y) const {
- const Grid& x = *this;
- return x.contains(y) && !y.contains(x);
-}
-
-inline void
-Grid::topological_closure_assign() {
-}
-
-/*! \relates Grid */
-inline void
-swap(Grid& x, Grid& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Grid_inlines_hh)
diff --git a/src/Grid.templates.hh b/src/Grid.templates.hh
deleted file mode 100644
index 9c2bf70..0000000
--- a/src/Grid.templates.hh
+++ /dev/null
@@ -1,339 +0,0 @@
-/* Grid class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_templates_hh
-#define PPL_Grid_templates_hh 1
-
-#include "Grid_Generator.defs.hh"
-#include "Grid_Generator_System.defs.hh"
-#include "Grid_Generator_System.inlines.hh"
-#include <algorithm>
-#include <deque>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Interval>
-Grid::Grid(const Box<Interval>& box, Complexity_Class)
- : con_sys(),
- gen_sys() {
- space_dim = check_space_dimension_overflow(box.space_dimension(),
- max_space_dimension(),
- "PPL::Grid::",
- "Grid(box, from_bounding_box)",
- "the space dimension of box "
- "exceeds the maximum allowed "
- "space dimension");
-
- if (box.is_empty()) {
- // Empty grid.
- set_empty();
- PPL_ASSERT(OK());
- return;
- }
-
- if (space_dim == 0)
- set_zero_dim_univ();
- else {
- // Initialize the space dimension as indicated by the box.
- con_sys.set_space_dimension(space_dim);
- gen_sys.set_space_dimension(space_dim);
- // Add congruences and generators according to `box'.
- PPL_DIRTY_TEMP_COEFFICIENT(l_n);
- PPL_DIRTY_TEMP_COEFFICIENT(l_d);
- PPL_DIRTY_TEMP_COEFFICIENT(u_n);
- PPL_DIRTY_TEMP_COEFFICIENT(u_d);
- gen_sys.insert(grid_point());
- for (dimension_type k = space_dim; k-- > 0; ) {
- const Variable v_k = Variable(k);
- bool closed = false;
- // TODO: Consider producing the system(s) in minimized form.
- if (box.has_lower_bound(v_k, l_n, l_d, closed)) {
- if (box.has_upper_bound(v_k, u_n, u_d, closed))
- if (l_n * u_d == u_n * l_d) {
- // A point interval sets dimension k of every point to a
- // single value.
- con_sys.insert(l_d * v_k == l_n);
-
- // This is declared here because it may be invalidated
- // by the call to gen_sys.insert() at the end of the loop.
- Grid_Generator& point = gen_sys.sys.rows[0];
-
- // Scale the point to use as divisor the lcm of the
- // divisors of the existing point and the lower bound.
- const Coefficient& point_divisor = point.divisor();
- gcd_assign(u_n, l_d, point_divisor);
- // `u_n' now holds the gcd.
- exact_div_assign(u_n, point_divisor, u_n);
- if (l_d < 0)
- neg_assign(u_n);
- // l_d * u_n == abs(l_d * (point_divisor / gcd(l_d, point_divisor)))
- point.scale_to_divisor(l_d * u_n);
- // Set dimension k of the point to the lower bound.
- if (l_d < 0)
- neg_assign(u_n);
- // point[k + 1] = l_n * point_divisor / gcd(l_d, point_divisor)
- point.expr.set(Variable(k), l_n * u_n);
- PPL_ASSERT(point.OK());
-
- PPL_ASSERT(gen_sys.sys.OK());
-
- continue;
- }
- }
- // A universe interval allows any value in dimension k.
- gen_sys.insert(grid_line(v_k));
- }
- set_congruences_up_to_date();
- set_generators_up_to_date();
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename Partial_Function>
-void
-Grid::map_space_dimensions(const Partial_Function& pfunc) {
- if (space_dim == 0)
- return;
-
- if (pfunc.has_empty_codomain()) {
- // All dimensions vanish: the grid becomes zero_dimensional.
- if (marked_empty()
- || (!generators_are_up_to_date() && !update_generators())) {
- // Removing all dimensions from the empty grid.
- space_dim = 0;
- set_empty();
- }
- else
- // Removing all dimensions from a non-empty grid.
- set_zero_dim_univ();
-
- PPL_ASSERT(OK());
- return;
- }
-
- dimension_type new_space_dimension = pfunc.max_in_codomain() + 1;
-
- if (new_space_dimension == space_dim) {
- // The partial function `pfunc' is indeed total and thus specifies
- // a permutation, that is, a renaming of the dimensions. For
- // maximum efficiency, we will simply permute the columns of the
- // constraint system and/or the generator system.
-
- std::vector<Variable> cycle;
- cycle.reserve(space_dim);
-
- // Used to mark elements as soon as they are inserted in a cycle.
- std::deque<bool> visited(space_dim);
-
- for (dimension_type i = space_dim; i-- > 0; ) {
- if (!visited[i]) {
- dimension_type j = i;
- do {
- visited[j] = true;
- // The following initialization is only to make the compiler happy.
- dimension_type k = 0;
- if (!pfunc.maps(j, k))
- throw_invalid_argument("map_space_dimensions(pfunc)",
- " pfunc is inconsistent");
- if (k == j)
- break;
-
- cycle.push_back(Variable(j));
- // Go along the cycle.
- j = k;
- } while (!visited[j]);
-
- // End of cycle.
-
- // Avoid calling clear_*_minimized() if cycle.size() is less than 2,
- // to improve efficiency.
- if (cycle.size() >= 2) {
- // Permute all that is up-to-date.
- if (congruences_are_up_to_date()) {
- con_sys.permute_space_dimensions(cycle);
- clear_congruences_minimized();
- }
-
- if (generators_are_up_to_date()) {
- gen_sys.permute_space_dimensions(cycle);
- clear_generators_minimized();
- }
- }
-
- cycle.clear();
- }
- }
-
- PPL_ASSERT(OK());
- return;
- }
-
- // If control gets here, then `pfunc' is not a permutation and some
- // dimensions must be projected away.
-
- const Grid_Generator_System& old_gensys = grid_generators();
-
- if (old_gensys.has_no_rows()) {
- // The grid is empty.
- Grid new_grid(new_space_dimension, EMPTY);
- m_swap(new_grid);
- PPL_ASSERT(OK());
- return;
- }
-
- // Make a local copy of the partial function.
- std::vector<dimension_type> pfunc_maps(space_dim, not_a_dimension());
- for (dimension_type j = space_dim; j-- > 0; ) {
- dimension_type pfunc_j;
- if (pfunc.maps(j, pfunc_j))
- pfunc_maps[j] = pfunc_j;
- }
-
- Grid_Generator_System new_gensys;
- // Set sortedness, for the assertion met via gs::insert.
- new_gensys.set_sorted(false);
- // Get the divisor of the first point.
- Grid_Generator_System::const_iterator i;
- Grid_Generator_System::const_iterator old_gensys_end = old_gensys.end();
- for (i = old_gensys.begin(); i != old_gensys_end; ++i)
- if (i->is_point())
- break;
- PPL_ASSERT(i != old_gensys_end);
- const Coefficient& system_divisor = i->divisor();
- for (i = old_gensys.begin(); i != old_gensys_end; ++i) {
- const Grid_Generator& old_g = *i;
- const Grid_Generator::Expression& old_g_e = old_g.expression();
- Linear_Expression expr;
- expr.set_space_dimension(new_space_dimension);
- bool all_zeroes = true;
- for (Grid_Generator::Expression::const_iterator j = old_g_e.begin(),
- j_end = old_g_e.end(); j != j_end; ++j) {
- const dimension_type mapped_id = pfunc_maps[j.variable().id()];
- if (mapped_id != not_a_dimension()) {
- add_mul_assign(expr, *j, Variable(mapped_id));
- all_zeroes = false;
- }
- }
- switch (old_g.type()) {
- case Grid_Generator::LINE:
- if (!all_zeroes)
- new_gensys.insert(grid_line(expr));
- break;
- case Grid_Generator::PARAMETER:
- if (!all_zeroes)
- new_gensys.insert(parameter(expr, system_divisor));
- break;
- case Grid_Generator::POINT:
- new_gensys.insert(grid_point(expr, old_g.divisor()));
- break;
- }
- }
-
- Grid new_grid(new_gensys);
- m_swap(new_grid);
-
- PPL_ASSERT(OK(true));
-}
-
-// Needed for converting the congruence or grid_generator system
-// to "strong minimal form".
-template <typename M>
-void
-Grid::reduce_reduced(Swapping_Vector<typename M::row_type>& rows,
- const dimension_type dim,
- const dimension_type pivot_index,
- const dimension_type start,
- const dimension_type end,
- const Dimension_Kinds& sys_dim_kinds,
- const bool generators) {
- // TODO: Remove this.
- typedef typename M::row_type M_row_type;
-
- const M_row_type& pivot = rows[pivot_index];
- const Coefficient& pivot_dim = pivot.expr.get(dim);
-
- if (pivot_dim == 0)
- return;
-
- PPL_DIRTY_TEMP_COEFFICIENT(pivot_dim_half);
- pivot_dim_half = (pivot_dim + 1) / 2;
- const Dimension_Kind row_kind = sys_dim_kinds[dim];
- const bool row_is_line_or_equality
- = (row_kind == (generators ? LINE : EQUALITY));
-
- PPL_DIRTY_TEMP_COEFFICIENT(num_rows_to_subtract);
- PPL_DIRTY_TEMP_COEFFICIENT(row_dim_remainder);
- for (dimension_type kinds_index = dim,
- row_index = pivot_index; row_index-- > 0; ) {
- if (generators) {
- --kinds_index;
- // Move over any virtual rows.
- while (sys_dim_kinds[kinds_index] == GEN_VIRTUAL)
- --kinds_index;
- }
- else {
- ++kinds_index;
- // Move over any virtual rows.
- while (sys_dim_kinds[kinds_index] == CON_VIRTUAL)
- ++kinds_index;
- }
-
- // row_kind CONGRUENCE is included as PARAMETER
- if (row_is_line_or_equality
- || (row_kind == PARAMETER
- && sys_dim_kinds[kinds_index] == PARAMETER)) {
- M_row_type& row = rows[row_index];
-
- const Coefficient& row_dim = row.expr.get(dim);
- // num_rows_to_subtract may be positive or negative.
- num_rows_to_subtract = row_dim / pivot_dim;
-
- // Ensure that after subtracting num_rows_to_subtract * r_dim
- // from row_dim, -pivot_dim_half < row_dim <= pivot_dim_half.
- // E.g., if pivot[dim] = 9, then after this reduction
- // -5 < row_dim <= 5.
- row_dim_remainder = row_dim % pivot_dim;
- if (row_dim_remainder < 0) {
- if (row_dim_remainder <= -pivot_dim_half)
- --num_rows_to_subtract;
- }
- else if (row_dim_remainder > 0 && row_dim_remainder > pivot_dim_half)
- ++num_rows_to_subtract;
-
- // Subtract num_rows_to_subtract copies of pivot from row i. Only the
- // entries from dim need to be subtracted, as the preceding
- // entries are all zero.
- // If num_rows_to_subtract is negative, these copies of pivot are
- // added to row i.
- if (num_rows_to_subtract != 0)
- row.expr.linear_combine(pivot.expr,
- Coefficient_one(), -num_rows_to_subtract,
- start, end + 1);
- }
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Grid_templates_hh)
diff --git a/src/Grid.types.hh b/src/Grid.types.hh
deleted file mode 100644
index 96e419e..0000000
--- a/src/Grid.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Grid_types_hh
-#define PPL_Grid_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Grid;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Grid_types_hh)
diff --git a/src/Grid_Certificate.cc b/src/Grid_Certificate.cc
index defaff4..d535b5f 100644
--- a/src/Grid_Certificate.cc
+++ b/src/Grid_Certificate.cc
@@ -1,7 +1,7 @@
/* Grid_Certificate class implementation
(non-inline member functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,8 +23,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid_Certificate.defs.hh"
-#include "Grid.defs.hh"
+#include "Grid_Certificate_defs.hh"
+#include "Grid_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -45,23 +45,23 @@ PPL::Grid_Certificate::Grid_Certificate(const Grid& gr)
}
else
if (gr.generators_are_up_to_date() && gr.generators_are_minimized()) {
- // Calculate number of congruences from generators.
- num_proper_congruences
- = gr.gen_sys.num_parameters() + 1 /* Integrality cg. */;
- num_equalities = gr.space_dimension() + 1 - gr.gen_sys.num_rows();
+ // Calculate number of congruences from generators.
+ num_proper_congruences
+ = gr.gen_sys.num_parameters() + 1 /* Integrality cg. */;
+ num_equalities = gr.space_dimension() + 1 - gr.gen_sys.num_rows();
}
else {
- // Minimize `gr' congruence system. As in Polyhedron assume
- // that `gr' contains at least one point.
+ // Minimize `gr' congruence system. As in Polyhedron assume
+ // that `gr' contains at least one point.
Grid& mgr = const_cast<Grid&>(gr);
- bool empty = Grid::simplify(mgr.con_sys, mgr.dim_kinds);
- // Avoid possible compiler warning.
- PPL_USED(empty);
- PPL_ASSERT(!empty);
- mgr.set_congruences_minimized();
+ const bool empty = Grid::simplify(mgr.con_sys, mgr.dim_kinds);
+ // Avoid possible compiler warning.
+ PPL_USED(empty);
+ PPL_ASSERT(!empty);
+ mgr.set_congruences_minimized();
- num_proper_congruences = mgr.con_sys.num_proper_congruences();
- num_equalities = mgr.con_sys.num_equalities();
+ num_proper_congruences = mgr.con_sys.num_proper_congruences();
+ num_equalities = mgr.con_sys.num_equalities();
}
}
else {
@@ -97,7 +97,7 @@ PPL::Grid_Certificate::compare(const Grid_Certificate& y) const {
int
PPL::Grid_Certificate::compare(const Grid& gr) const {
- Grid_Certificate gc(gr);
+ const Grid_Certificate gc(gr);
return compare(gc);
}
diff --git a/src/Grid_Certificate.defs.hh b/src/Grid_Certificate.defs.hh
deleted file mode 100644
index fe354dc..0000000
--- a/src/Grid_Certificate.defs.hh
+++ /dev/null
@@ -1,104 +0,0 @@
-/* Grid_Certificate class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Certificate_defs_hh
-#define PPL_Grid_Certificate_defs_hh 1
-
-#include "Grid_Certificate.types.hh"
-
-#include "Grid.types.hh"
-#include "globals.defs.hh"
-#include "assert.hh"
-#include <vector>
-
-//! The convergence certificate for the Grid widening operator.
-/*! \ingroup PPL_CXX_interface
- Convergence certificates are used to instantiate the BHZ03 framework
- so as to define widening operators for the finite powerset domain.
-
- \note
- Each convergence certificate has to be used together with a
- compatible widening operator. In particular, Grid_Certificate can
- certify the Grid widening.
-*/
-class Parma_Polyhedra_Library::Grid_Certificate {
-public:
- //! Default constructor.
- Grid_Certificate();
-
- //! Constructor: computes the certificate for \p gr.
- Grid_Certificate(const Grid& gr);
-
- //! Copy constructor.
- Grid_Certificate(const Grid_Certificate& y);
-
- //! Destructor.
- ~Grid_Certificate();
-
- //! The comparison function for certificates.
- /*!
- \return
- \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
- is smaller than, equal to, or greater than \p y, respectively.
- */
- int compare(const Grid_Certificate& y) const;
-
- //! Compares \p *this with the certificate for grid \p gr.
- int compare(const Grid& gr) const;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Returns <CODE>true</CODE> if and only if the certificate for grid
- \p gr is strictly smaller than \p *this.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool is_stabilizing(const Grid& gr) const;
-
- //! A total ordering on Grid certificates.
- /*!
- This binary predicate defines a total ordering on Grid certificates
- which is used when storing information about sets of grids.
- */
- struct Compare {
- //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
- bool operator()(const Grid_Certificate& x,
- const Grid_Certificate& y) const;
- };
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Check if gathered information is meaningful.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool OK() const;
-
-private:
- //! Number of a equalities in a minimized congruence system for the
- //! grid.
- dimension_type num_equalities;
- //! Number of a proper congruences in a minimized congruence system
- //! for the grid.
- dimension_type num_proper_congruences;
-};
-
-#include "Grid_Certificate.inlines.hh"
-
-#endif // !defined(PPL_Grid_Certificate_defs_hh)
diff --git a/src/Grid_Certificate.inlines.hh b/src/Grid_Certificate.inlines.hh
deleted file mode 100644
index 0ab33c4..0000000
--- a/src/Grid_Certificate.inlines.hh
+++ /dev/null
@@ -1,61 +0,0 @@
-/* Grid_Certificate class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Certificate_inlines_hh
-#define PPL_Grid_Certificate_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Grid_Certificate::Grid_Certificate()
- : num_equalities(0), num_proper_congruences(0) {
- // This is the certificate for a zero-dim universe grid.
- PPL_ASSERT(OK());
-}
-
-inline
-Grid_Certificate::Grid_Certificate(const Grid_Certificate& y)
- : num_equalities(y.num_equalities),
- num_proper_congruences(y.num_proper_congruences) {
-}
-
-inline
-Grid_Certificate::~Grid_Certificate() {
-}
-
-inline bool
-Grid_Certificate::is_stabilizing(const Grid& gr) const {
- return compare(gr) == 1;
-}
-
-inline bool
-Grid_Certificate::Compare::operator()(const Grid_Certificate& x,
- const Grid_Certificate& y) const {
- // For an efficient evaluation of the multiset ordering based
- // on this LGO relation, we want larger elements to come first.
- return x.compare(y) == 1;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Grid_Certificate_inlines_hh)
diff --git a/src/Grid_Certificate.types.hh b/src/Grid_Certificate.types.hh
deleted file mode 100644
index 4207746..0000000
--- a/src/Grid_Certificate.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Grid_Certificate_types_hh
-#define PPL_Grid_Certificate_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Grid_Certificate;
-
-}
-
-#endif // !defined(PPL_Grid_Certificate_types_hh)
diff --git a/src/Grid_Certificate_defs.hh b/src/Grid_Certificate_defs.hh
new file mode 100644
index 0000000..5aaac9a
--- /dev/null
+++ b/src/Grid_Certificate_defs.hh
@@ -0,0 +1,104 @@
+/* Grid_Certificate class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Certificate_defs_hh
+#define PPL_Grid_Certificate_defs_hh 1
+
+#include "Grid_Certificate_types.hh"
+
+#include "Grid_types.hh"
+#include "globals_defs.hh"
+#include "assert.hh"
+#include <vector>
+
+//! The convergence certificate for the Grid widening operator.
+/*! \ingroup PPL_CXX_interface
+ Convergence certificates are used to instantiate the BHZ03 framework
+ so as to define widening operators for the finite powerset domain.
+
+ \note
+ Each convergence certificate has to be used together with a
+ compatible widening operator. In particular, Grid_Certificate can
+ certify the Grid widening.
+*/
+class Parma_Polyhedra_Library::Grid_Certificate {
+public:
+ //! Default constructor.
+ Grid_Certificate();
+
+ //! Constructor: computes the certificate for \p gr.
+ Grid_Certificate(const Grid& gr);
+
+ //! Copy constructor.
+ Grid_Certificate(const Grid_Certificate& y);
+
+ //! Destructor.
+ ~Grid_Certificate();
+
+ //! The comparison function for certificates.
+ /*!
+ \return
+ \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
+ is smaller than, equal to, or greater than \p y, respectively.
+ */
+ int compare(const Grid_Certificate& y) const;
+
+ //! Compares \p *this with the certificate for grid \p gr.
+ int compare(const Grid& gr) const;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the certificate for grid
+ \p gr is strictly smaller than \p *this.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool is_stabilizing(const Grid& gr) const;
+
+ //! A total ordering on Grid certificates.
+ /*!
+ This binary predicate defines a total ordering on Grid certificates
+ which is used when storing information about sets of grids.
+ */
+ struct Compare {
+ //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
+ bool operator()(const Grid_Certificate& x,
+ const Grid_Certificate& y) const;
+ };
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Check if gathered information is meaningful.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool OK() const;
+
+private:
+ //! Number of a equalities in a minimized congruence system for the
+ //! grid.
+ dimension_type num_equalities;
+ //! Number of a proper congruences in a minimized congruence system
+ //! for the grid.
+ dimension_type num_proper_congruences;
+};
+
+#include "Grid_Certificate_inlines.hh"
+
+#endif // !defined(PPL_Grid_Certificate_defs_hh)
diff --git a/src/Grid_Certificate_inlines.hh b/src/Grid_Certificate_inlines.hh
new file mode 100644
index 0000000..35d3433
--- /dev/null
+++ b/src/Grid_Certificate_inlines.hh
@@ -0,0 +1,61 @@
+/* Grid_Certificate class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Certificate_inlines_hh
+#define PPL_Grid_Certificate_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Grid_Certificate::Grid_Certificate()
+ : num_equalities(0), num_proper_congruences(0) {
+ // This is the certificate for a zero-dim universe grid.
+ PPL_ASSERT(OK());
+}
+
+inline
+Grid_Certificate::Grid_Certificate(const Grid_Certificate& y)
+ : num_equalities(y.num_equalities),
+ num_proper_congruences(y.num_proper_congruences) {
+}
+
+inline
+Grid_Certificate::~Grid_Certificate() {
+}
+
+inline bool
+Grid_Certificate::is_stabilizing(const Grid& gr) const {
+ return compare(gr) == 1;
+}
+
+inline bool
+Grid_Certificate::Compare::operator()(const Grid_Certificate& x,
+ const Grid_Certificate& y) const {
+ // For an efficient evaluation of the multiset ordering based
+ // on this LGO relation, we want larger elements to come first.
+ return x.compare(y) == 1;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Grid_Certificate_inlines_hh)
diff --git a/src/Grid_Certificate_types.hh b/src/Grid_Certificate_types.hh
new file mode 100644
index 0000000..d825c8e
--- /dev/null
+++ b/src/Grid_Certificate_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Grid_Certificate_types_hh
+#define PPL_Grid_Certificate_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Grid_Certificate;
+
+}
+
+#endif // !defined(PPL_Grid_Certificate_types_hh)
diff --git a/src/Grid_Generator.cc b/src/Grid_Generator.cc
index 0181fe5..24022fd 100644
--- a/src/Grid_Generator.cc
+++ b/src/Grid_Generator.cc
@@ -1,6 +1,6 @@
/* Grid_Generator class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,10 +22,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid_Generator.defs.hh"
+#include "Grid_Generator_defs.hh"
-#include "Variables_Set.defs.hh"
-#include "math_utilities.defs.hh"
+#include "Variables_Set_defs.hh"
+#include "math_utilities_defs.hh"
#include <iostream>
#include <sstream>
@@ -45,7 +45,7 @@ PPL::Grid_Generator::throw_dimension_incompatible(const char* method,
void
PPL::Grid_Generator::throw_invalid_argument(const char* method,
- const char* reason) const {
+ const char* reason) const {
std::ostringstream s;
s << "PPL::Grid_Generator::" << method << ":" << std::endl
<< reason << ".";
@@ -54,11 +54,11 @@ PPL::Grid_Generator::throw_invalid_argument(const char* method,
PPL::Grid_Generator
PPL::Grid_Generator::parameter(const Linear_Expression& e,
- Coefficient_traits::const_reference d,
+ Coefficient_traits::const_reference d,
Representation r) {
if (d == 0)
throw std::invalid_argument("PPL::parameter(e, d):\n"
- "d == 0.");
+ "d == 0.");
// Add 1 to space dimension to allow for parameter divisor column.
Linear_Expression ec(e, e.space_dimension() + 1, r);
@@ -73,7 +73,7 @@ PPL::Grid_Generator::parameter(const Linear_Expression& e,
// Using this constructor saves reallocation when creating the
// coefficients.
- Grid_Generator gg(ec, PARAMETER);
+ const Grid_Generator gg(ec, PARAMETER);
// NOTE: normalize() must *not* be called here, because this is a parameter,
// and it would change the represented parameter.
@@ -82,11 +82,11 @@ PPL::Grid_Generator::parameter(const Linear_Expression& e,
PPL::Grid_Generator
PPL::Grid_Generator::grid_point(const Linear_Expression& e,
- Coefficient_traits::const_reference d,
+ Coefficient_traits::const_reference d,
Representation r) {
if (d == 0)
throw std::invalid_argument("PPL::grid_point(e, d):\n"
- "d == 0.");
+ "d == 0.");
// Add 1 to space dimension to allow for parameter divisor column.
Linear_Expression ec(e, 1 + e.space_dimension(), r);
ec.set_inhomogeneous_term(d);
@@ -121,7 +121,7 @@ PPL::Grid_Generator::grid_line(const Linear_Expression& e, Representation r) {
// The origin of the space cannot be a line.
if (e.all_homogeneous_terms_are_zero())
throw std::invalid_argument("PPL::grid_line(e):\n"
- "e == 0, but the origin cannot be a line.");
+ "e == 0, but the origin cannot be a line.");
// Add 1 to space dimension to allow for parameter divisor column.
Linear_Expression ec(e, 1 + e.space_dimension(), r);
@@ -248,7 +248,7 @@ PPL::compare(const Grid_Generator& x, const Grid_Generator& y) {
bool
PPL::Grid_Generator::is_equivalent_to(const Grid_Generator& y) const {
const Grid_Generator& x = *this;
- dimension_type x_space_dim = x.space_dimension();
+ const dimension_type x_space_dim = x.space_dimension();
if (x_space_dim != y.space_dimension())
return false;
@@ -258,7 +258,7 @@ PPL::Grid_Generator::is_equivalent_to(const Grid_Generator& y) const {
Grid_Generator tmp_x = *this;
Grid_Generator tmp_y = y;
- Variable last_var(x_space_dim);
+ const Variable last_var(x_space_dim);
if (x_type == POINT || x_type == LINE) {
tmp_x.expr.set(last_var, Coefficient_zero());
tmp_y.expr.set(last_var, Coefficient_zero());
@@ -329,7 +329,7 @@ PPL::Grid_Generator::fancy_print(std::ostream& s) const {
bool need_divisor = false;
bool extra_parentheses = false;
const dimension_type num_variables = space_dimension();
- Grid_Generator::Type t = type();
+ const Grid_Generator::Type t = type();
switch (t) {
case Grid_Generator::LINE:
s << "l(";
@@ -356,7 +356,7 @@ PPL::Grid_Generator::fancy_print(std::ostream& s) const {
PPL_DIRTY_TEMP_COEFFICIENT(c);
bool first = true;
for (Linear_Expression::const_iterator i = expr.begin(),
- i_end = expr.lower_bound(Variable(num_variables)); i != i_end; ++i) {
+ i_end = expr.lower_bound(Variable(num_variables)); i != i_end; ++i) {
c = *i;
if (!first) {
if (c > 0)
@@ -394,7 +394,7 @@ PPL::IO_Operators::operator<<(std::ostream& s, const Grid_Generator& g) {
/*! \relates Parma_Polyhedra_Library::Grid_Generator */
std::ostream&
PPL::IO_Operators::operator<<(std::ostream& s,
- const Grid_Generator::Type& t) {
+ const Grid_Generator::Type& t) {
const char* n = 0;
switch (t) {
case Grid_Generator::LINE:
@@ -426,7 +426,7 @@ PPL::Grid_Generator::OK() const {
if (x.expr.space_dimension() < 1) {
#ifndef NDEBUG
std::cerr << "Grid_Generator has fewer coefficients than the minimum "
- << "allowed:\nspace dimension is " << x.expr.space_dimension()
+ << "allowed:\nspace dimension is " << x.expr.space_dimension()
<< ", minimum is 1.\n";
#endif
return false;
diff --git a/src/Grid_Generator.defs.hh b/src/Grid_Generator.defs.hh
deleted file mode 100644
index 39eb3d7..0000000
--- a/src/Grid_Generator.defs.hh
+++ /dev/null
@@ -1,798 +0,0 @@
-/* Grid_Generator class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Generator_defs_hh
-#define PPL_Grid_Generator_defs_hh 1
-
-#include "Grid_Generator.types.hh"
-#include "Grid.types.hh"
-
-#include "Variables_Set.types.hh"
-#include "Grid_Generator_System.types.hh"
-#include "Linear_System.types.hh"
-
-#include "Coefficient.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Topology.types.hh"
-#include "Expression_Hide_Inhomo.defs.hh"
-#include "Expression_Hide_Last.defs.hh"
-
-#include "Grid.types.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-// Put these in the namespace here to declare them friend later.
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The basic comparison function.
-/*! \relates Grid_Generator
- \return
- The returned absolute value can be \f$0\f$, \f$1\f$ or \f$2\f$.
-
- \param x
- A row of coefficients;
-
- \param y
- Another row.
-
- Compares \p x and \p y, where \p x and \p y may be of different size,
- in which case the "missing" coefficients are assumed to be zero.
- The comparison is such that:
- -# equalities are smaller than inequalities;
- -# lines are smaller than points and rays;
- -# the ordering is lexicographic;
- -# the positions compared are, in decreasing order of significance,
- 1, 2, ..., \p size(), 0;
- -# the result is negative, zero, or positive if x is smaller than,
- equal to, or greater than y, respectively;
- -# when \p x and \p y are different, the absolute value of the
- result is 1 if the difference is due to the coefficient in
- position 0; it is 2 otherwise.
-
- When \p x and \p y represent the hyper-planes associated
- to two equality or inequality constraints, the coefficient
- at 0 is the known term.
- In this case, the return value can be characterized as follows:
- - -2, if \p x is smaller than \p y and they are \e not parallel;
- - -1, if \p x is smaller than \p y and they \e are parallel;
- - 0, if \p x and y are equal;
- - +1, if \p y is smaller than \p x and they \e are parallel;
- - +2, if \p y is smaller than \p x and they are \e not parallel.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-int compare(const Grid_Generator& x, const Grid_Generator& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Grid_Generator */
-std::ostream& operator<<(std::ostream& s, const Grid_Generator& g);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Grid_Generator */
-void swap(Grid_Generator& x, Grid_Generator& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A grid line, parameter or grid point.
-/*! \ingroup PPL_CXX_interface
- An object of the class Grid_Generator is one of the following:
-
- - a grid_line \f$\vect{l} = (a_0, \ldots, a_{n-1})^\transpose\f$;
-
- - a parameter
- \f$\vect{q} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
-
- - a grid_point
- \f$\vect{p} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
-
- where \f$n\f$ is the dimension of the space
- and, for grid_points and parameters, \f$d > 0\f$ is the divisor.
-
- \par How to build a grid generator.
- Each type of generator is built by applying the corresponding
- function (<CODE>grid_line</CODE>, <CODE>parameter</CODE>
- or <CODE>grid_point</CODE>) to a linear expression;
- the space dimension of the generator is defined as the space dimension
- of the corresponding linear expression.
- Linear expressions used to define a generator should be homogeneous
- (any constant term will be simply ignored).
- When defining grid points and parameters, an optional Coefficient argument
- can be used as a common <EM>divisor</EM> for all the coefficients
- occurring in the provided linear expression;
- the default value for this argument is 1.
-
- \par
- In all the following examples it is assumed that variables
- <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
- are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- Variable z(2);
- \endcode
-
- \par Example 1
- The following code builds a grid line with direction \f$x-y-z\f$
- and having space dimension \f$3\f$:
- \code
- Grid_Generator l = grid_line(x - y - z);
- \endcode
- By definition, the origin of the space is not a line, so that
- the following code throws an exception:
- \code
- Grid_Generator l = grid_line(0*x);
- \endcode
-
- \par Example 2
- The following code builds the parameter as the vector
- \f$\vect{p} = (1, -1, -1)^\transpose \in \Rset^3\f$
- which has the same direction as the line in Example 1:
- \code
- Grid_Generator q = parameter(x - y - z);
- \endcode
- Note that, unlike lines, for parameters, the length as well
- as the direction of the vector represented by the code is significant.
- Thus \p q is \e not the same as the parameter \p q1 defined by
- \code
- Grid_Generator q1 = parameter(2x - 2y - 2z);
- \endcode
- By definition, the origin of the space is not a parameter, so that
- the following code throws an exception:
- \code
- Grid_Generator q = parameter(0*x);
- \endcode
-
- \par Example 3
- The following code builds the grid point
- \f$\vect{p} = (1, 0, 2)^\transpose \in \Rset^3\f$:
- \code
- Grid_Generator p = grid_point(1*x + 0*y + 2*z);
- \endcode
- The same effect can be obtained by using the following code:
- \code
- Grid_Generator p = grid_point(x + 2*z);
- \endcode
- Similarly, the origin \f$\vect{0} \in \Rset^3\f$ can be defined
- using either one of the following lines of code:
- \code
- Grid_Generator origin3 = grid_point(0*x + 0*y + 0*z);
- Grid_Generator origin3_alt = grid_point(0*z);
- \endcode
- Note however that the following code would have defined
- a different point, namely \f$\vect{0} \in \Rset^2\f$:
- \code
- Grid_Generator origin2 = grid_point(0*y);
- \endcode
- The following two lines of code both define the only grid point
- having space dimension zero, namely \f$\vect{0} \in \Rset^0\f$.
- In the second case we exploit the fact that the first argument
- of the function <CODE>point</CODE> is optional.
- \code
- Grid_Generator origin0 = Generator::zero_dim_point();
- Grid_Generator origin0_alt = grid_point();
- \endcode
-
- \par Example 4
- The grid point \f$\vect{p}\f$ specified in Example 3 above
- can also be obtained with the following code,
- where we provide a non-default value for the second argument
- of the function <CODE>grid_point</CODE> (the divisor):
- \code
- Grid_Generator p = grid_point(2*x + 0*y + 4*z, 2);
- \endcode
- Obviously, the divisor can be used to specify
- points having some non-integer (but rational) coordinates.
- For instance, the grid point
- \f$\vect{p1} = (-1.5, 3.2, 2.1)^\transpose \in \Rset^3\f$
- can be specified by the following code:
- \code
- Grid_Generator p1 = grid_point(-15*x + 32*y + 21*z, 10);
- \endcode
- If a zero divisor is provided, an exception is thrown.
-
- \par Example 5
- Parameters, like grid points can have a divisor.
- For instance, the parameter
- \f$\vect{q} = (1, 0, 2)^\transpose \in \Rset^3\f$ can be defined:
- \code
- Grid_Generator q = parameter(2*x + 0*y + 4*z, 2);
- \endcode
- Also, the divisor can be used to specify
- parameters having some non-integer (but rational) coordinates.
- For instance, the parameter
- \f$\vect{q} = (-1.5, 3.2, 2.1)^\transpose \in \Rset^3\f$
- can be defined:
- \code
- Grid_Generator q = parameter(-15*x + 32*y + 21*z, 10);
- \endcode
- If a zero divisor is provided, an exception is thrown.
-
- \par How to inspect a grid generator
- Several methods are provided to examine a grid generator and extract
- all the encoded information: its space dimension, its type and
- the value of its integer coefficients and the value of the denominator.
-
- \par Example 6
- The following code shows how it is possible to access each single
- coefficient of a grid generator.
- If <CODE>g1</CODE> is a grid point having coordinates
- \f$(a_0, \ldots, a_{n-1})^\transpose\f$,
- we construct the parameter <CODE>g2</CODE> having coordinates
- \f$(a_0, 2 a_1, \ldots, (i+1)a_i, \ldots, n a_{n-1})^\transpose\f$.
- \code
- if (g1.is_point()) {
- cout << "Grid point g1: " << g1 << endl;
- Linear_Expression e;
- for (dimension_type i = g1.space_dimension(); i-- > 0; )
- e += (i + 1) * g1.coefficient(Variable(i)) * Variable(i);
- Grid_Generator g2 = parameter(e, g1.divisor());
- cout << "Parameter g2: " << g2 << endl;
- }
- else
- cout << "Grid generator g1 is not a grid point." << endl;
- \endcode
- Therefore, for the grid point
- \code
- Grid_Generator g1 = grid_point(2*x - y + 3*z, 2);
- \endcode
- we would obtain the following output:
- \code
- Grid point g1: p((2*A - B + 3*C)/2)
- Parameter g2: parameter((2*A - 2*B + 9*C)/2)
- \endcode
- When working with grid points and parameters, be careful not to confuse
- the notion of <EM>coefficient</EM> with the notion of <EM>coordinate</EM>:
- these are equivalent only when the divisor is 1.
-*/
-class Parma_Polyhedra_Library::Grid_Generator {
-public:
-
- //! The possible kinds of Grid_Generator objects.
- enum Kind {
- LINE_OR_EQUALITY = 0,
- RAY_OR_POINT_OR_INEQUALITY = 1
- };
-
- //! The representation used for new Grid_Generators.
- /*!
- \note The copy constructor and the copy constructor with specified size
- use the representation of the original object, so that it is
- indistinguishable from the original object.
- */
- static const Representation default_representation = SPARSE;
-
- //! Returns the line of direction \p e.
- /*!
- \exception std::invalid_argument
- Thrown if the homogeneous part of \p e represents the origin of
- the vector space.
- */
- static Grid_Generator grid_line(const Linear_Expression& e,
- Representation r = default_representation);
-
- //! Returns the parameter of direction \p e and size \p e/d, with the same
- //! representation as e.
- /*!
- Both \p e and \p d are optional arguments, with default values
- Linear_Expression::zero() and Coefficient_one(), respectively.
-
- \exception std::invalid_argument
- Thrown if \p d is zero.
- */
- static Grid_Generator parameter(const Linear_Expression& e
- = Linear_Expression::zero(),
- Coefficient_traits::const_reference d
- = Coefficient_one(),
- Representation r = default_representation);
-
- // TODO: Improve the documentation of this method.
- //! Returns the parameter of direction and size \p Linear_Expression::zero() .
- static Grid_Generator parameter(Representation r);
-
- //! Returns the parameter of direction and size \p e .
- static Grid_Generator parameter(const Linear_Expression& e,
- Representation r);
-
- //! Returns the point at \p e / \p d.
- /*!
- Both \p e and \p d are optional arguments, with default values
- Linear_Expression::zero() and Coefficient_one(), respectively.
-
- \exception std::invalid_argument
- Thrown if \p d is zero.
- */
- static Grid_Generator grid_point(const Linear_Expression& e
- = Linear_Expression::zero(),
- Coefficient_traits::const_reference d
- = Coefficient_one(),
- Representation r = default_representation);
-
- //! Returns the point at \p e .
- static Grid_Generator grid_point(Representation r);
-
- //! Returns the point at \p e .
- static Grid_Generator grid_point(const Linear_Expression& e,
- Representation r);
-
- //! Returns the origin of the zero-dimensional space \f$\Rset^0\f$.
- explicit Grid_Generator(Representation r = default_representation);
-
- //! Ordinary copy constructor.
- //! The new Grid_Generator will have the same representation as g.
- Grid_Generator(const Grid_Generator& g);
-
- //! Copy constructor with specified representation.
- Grid_Generator(const Grid_Generator& g, Representation r);
-
- //! Copy constructor with specified space dimension.
- //! The new Grid_Generator will have the same representation as g.
- Grid_Generator(const Grid_Generator& g, dimension_type space_dim);
-
- //! Copy constructor with specified space dimension and representation.
- Grid_Generator(const Grid_Generator& g, dimension_type space_dim,
- Representation r);
-
- //! Destructor.
- ~Grid_Generator();
-
- //! Assignment operator.
- Grid_Generator& operator=(const Grid_Generator& g);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Grid_Generator can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Sets the dimension of the vector space enclosing \p *this to
- //! \p space_dim .
- void set_space_dimension(dimension_type space_dim);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Removes all the specified dimensions from the grid generator.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
-
- Always returns \p true. The return value is needed for compatibility with
- the Generator class.
- */
- bool remove_space_dimensions(const Variables_Set& vars);
-
- //! Permutes the space dimensions of the grid generator.
- /*
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! The generator type.
- enum Type {
- /*! The generator is a grid line. */
- LINE,
- /*! The generator is a parameter. */
- PARAMETER,
- /*! The generator is a grid point. */
- POINT
- };
-
- //! Returns the generator type of \p *this.
- Type type() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a line.
- bool is_line() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a parameter.
- bool is_parameter() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is a line or
- a parameter.
- */
- bool is_line_or_parameter() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a point.
- bool is_point() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row represents a
- parameter or a point.
- */
- bool is_parameter_or_point() const;
-
- //! Returns the coefficient of \p v in \p *this.
- /*!
- \exception std::invalid_argument
- Thrown if the index of \p v is greater than or equal to the
- space dimension of \p *this.
- */
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the divisor of \p *this.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this is a line.
- */
- Coefficient_traits::const_reference divisor() const;
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- //! Returns the origin of the zero-dimensional space \f$\Rset^0\f$.
- static const Grid_Generator& zero_dim_point();
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- equivalent generators.
-
- Generators having different space dimensions are not equivalent.
- */
- bool is_equivalent_to(const Grid_Generator& y) const;
-
- //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
- /*!
- This is faster than is_equivalent_to(), but it may return `false' even
- for equivalent generators.
- */
- bool is_equal_to(const Grid_Generator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous terms
- of \p *this are \f$0\f$.
- */
- bool all_homogeneous_terms_are_zero() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Swaps \p *this with \p y.
- void m_swap(Grid_Generator& y);
-
- /*! \brief
- Scales \p *this to be represented with a divisor of \p d (if
- \*this is a parameter or point). Does nothing at all on lines.
-
- It is assumed that \p d is a multiple of the current divisor
- and different from zero. The behavior is undefined if the assumption
- does not hold.
- */
- void scale_to_divisor(Coefficient_traits::const_reference d);
-
- //! Sets the divisor of \p *this to \p d.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this is a line.
- */
- void set_divisor(Coefficient_traits::const_reference d);
-
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> > Expression;
-
- //! Allows user code to read the internal expression (but note that this
- //! is a different type, not all operations are allowed).
- const Expression& expression() const;
-
-private:
- Linear_Expression expr;
-
- Expression_Hide_Inhomo<Linear_Expression> semi_wrapped_expr;
-
- Expression wrapped_expr;
-
- Kind kind_;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the origin of the zero-dimensional space \f$\Rset^0\f$.
- */
- static const Grid_Generator* zero_dim_point_p;
-
- //! Constructs a Grid_Generator with the specified space dimension, kind
- //! and topology.
- Grid_Generator(dimension_type space_dim, Kind kind, Topology topology,
- Representation r = default_representation);
-
- // TODO: Avoid reducing the space dimension.
- /*! \brief
- Constructs a grid generator of type \p t from linear expression \p e,
- stealing the underlying data structures from \p e.
-
- The last column in \p e becomes the parameter divisor column of
- the new Grid_Generator.
-
- \note The new Grid_Generator will have the same representation as `e'.
- */
- Grid_Generator(Linear_Expression& e, Type t);
-
- //! Sets the dimension of the vector space enclosing \p *this to
- //! \p space_dim .
- //! Sets the space dimension of the rows in the system to \p space_dim .
- /*!
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid objects.
- */
- void set_space_dimension_no_ok(dimension_type space_dim);
-
- /*! \brief
- Returns <CODE>true</CODE> if \p *this is equal to \p gg in
- dimension \p dim.
- */
- bool is_equal_at_dimension(dimension_type dim,
- const Grid_Generator& gg) const;
-
- //! Another print functions, with fancy output, more human-friendly.
- //! This is used by operator<<();
- void fancy_print(std::ostream& s) const;
-
- //! Converts the Grid_Generator into a parameter.
- void set_is_parameter();
-
- //! Sets the Grid_Generator kind to <CODE>LINE_OR_EQUALITY</CODE>.
- void set_is_line();
-
- //! Sets the Grid_Generator kind to <CODE>RAY_OR_POINT_OR_INEQUALITY</CODE>.
- void set_is_parameter_or_point();
-
- //! \name Flags inspection methods
- //@{
- //! Returns the topological kind of \p *this.
- Topology topology() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the topology
- of \p *this row is not necessarily closed.
- */
- bool is_not_necessarily_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the topology
- of \p *this row is necessarily closed.
- */
- bool is_necessarily_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row
- represents a line or an equality.
- */
- bool is_line_or_equality() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this row
- represents a ray, a point or an inequality.
- */
- bool is_ray_or_point_or_inequality() const;
- //@} // Flags inspection methods
-
- //! \name Flags coercion methods
- //@{
-
- //! Sets to \p x the topological kind of \p *this row.
- void set_topology(Topology x);
-
- //! Sets to \p NECESSARILY_CLOSED the topological kind of \p *this row.
- void set_necessarily_closed();
-
- //! Sets to \p NOT_NECESSARILY_CLOSED the topological kind of \p *this row.
- void set_not_necessarily_closed();
-
- //! Sets to \p LINE_OR_EQUALITY the kind of \p *this row.
- void set_is_line_or_equality();
-
- //! Sets to \p RAY_OR_POINT_OR_INEQUALITY the kind of \p *this row.
- void set_is_ray_or_point_or_inequality();
- //@} // Flags coercion methods
-
- /*! \brief
- Normalizes the sign of the coefficients so that the first non-zero
- (homogeneous) coefficient of a line-or-equality is positive.
- */
- void sign_normalize();
-
- /*! \brief
- Strong normalization: ensures that different Grid_Generator objects
- represent different hyperplanes or hyperspaces.
-
- Applies both Grid_Generator::normalize() and Grid_Generator::sign_normalize().
- */
- void strong_normalize();
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the coefficients are
- strongly normalized.
- */
- bool check_strong_normalized() const;
-
- //! Linearly combines \p *this with \p y so that i-th coefficient is 0.
- /*!
- \param y
- The Grid_Generator that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting Grid_Generator to \p *this and normalizes it.
- */
- void linear_combine(const Grid_Generator& y, dimension_type i);
-
- /*! \brief
- Throw a <CODE>std::invalid_argument</CODE> exception containing
- the appropriate error message.
- */
- void
- throw_dimension_incompatible(const char* method,
- const char* name_var,
- const Variable v) const;
-
- /*! \brief
- Throw a <CODE>std::invalid_argument</CODE> exception containing
- the appropriate error message.
- */
- void
- throw_invalid_argument(const char* method, const char* reason) const;
-
- friend std::ostream&
- IO_Operators::operator<<(std::ostream& s, const Grid_Generator& g);
-
- friend int
- compare(const Grid_Generator& x, const Grid_Generator& y);
-
- friend class Grid_Generator_System;
- friend class Grid;
- friend class Linear_System<Grid_Generator>;
- friend class Scalar_Products;
- friend class Topology_Adjusted_Scalar_Product_Sign;
-};
-
-
-namespace Parma_Polyhedra_Library {
-
-/*! \brief
- Shorthand for
- Grid_Generator::grid_line(const Linear_Expression& e, Representation r).
-
- \relates Grid_Generator
-*/
-Grid_Generator
-grid_line(const Linear_Expression& e,
- Representation r = Grid_Generator::default_representation);
-
-/*! \brief
- Shorthand for
- Grid_Generator::parameter(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
-
- \relates Grid_Generator
-*/
-Grid_Generator
-parameter(const Linear_Expression& e = Linear_Expression::zero(),
- Coefficient_traits::const_reference d = Coefficient_one(),
- Representation r = Grid_Generator::default_representation);
-
-//! Shorthand for Grid_Generator::parameter(Representation r).
-/*! \relates Grid_Generator */
-Grid_Generator
-parameter(Representation r);
-
-/*! \brief
- Shorthand for
- Grid_Generator::parameter(const Linear_Expression& e, Representation r).
-
- \relates Grid_Generator
-*/
-Grid_Generator
-parameter(const Linear_Expression& e, Representation r);
-
-/*! \brief
- Shorthand for
- Grid_Generator::grid_point(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
-
- \relates Grid_Generator
-*/
-Grid_Generator
-grid_point(const Linear_Expression& e = Linear_Expression::zero(),
- Coefficient_traits::const_reference d = Coefficient_one(),
- Representation r = Grid_Generator::default_representation);
-
-//! Shorthand for Grid_Generator::grid_point(Representation r).
-/*! \relates Grid_Generator */
-Grid_Generator
-grid_point(Representation r);
-
-/*! \brief
- Shorthand for
- Grid_Generator::grid_point(const Linear_Expression& e, Representation r).
-
- \relates Grid_Generator
-*/
-Grid_Generator
-grid_point(const Linear_Expression& e, Representation r);
-
-//! Returns <CODE>true</CODE> if and only if \p x is equivalent to \p y.
-/*! \relates Grid_Generator */
-bool operator==(const Grid_Generator& x, const Grid_Generator& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x is not equivalent to \p y.
-/*! \relates Grid_Generator */
-bool operator!=(const Grid_Generator& x, const Grid_Generator& y);
-
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Grid_Generator */
-std::ostream& operator<<(std::ostream& s, const Grid_Generator::Type& t);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Grid_Generator.inlines.hh"
-
-#endif // !defined(PPL_Grid_Generator_defs_hh)
diff --git a/src/Grid_Generator.inlines.hh b/src/Grid_Generator.inlines.hh
deleted file mode 100644
index c5c77cd..0000000
--- a/src/Grid_Generator.inlines.hh
+++ /dev/null
@@ -1,382 +0,0 @@
-/* Grid Generator class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Generator_inlines_hh
-#define PPL_Grid_Generator_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline bool
-Grid_Generator::is_necessarily_closed() const {
- return true;
-}
-
-inline bool
-Grid_Generator::is_not_necessarily_closed() const {
- return false;
-}
-
-inline bool
-Grid_Generator::is_line_or_equality() const {
- return (kind_ == LINE_OR_EQUALITY);
-}
-
-inline bool
-Grid_Generator::is_ray_or_point_or_inequality() const {
- return (kind_ == RAY_OR_POINT_OR_INEQUALITY);
-}
-
-inline Topology
-Grid_Generator::topology() const {
- return NECESSARILY_CLOSED;
-}
-
-inline void
-Grid_Generator::set_is_line_or_equality() {
- kind_ = LINE_OR_EQUALITY;
-}
-
-inline void
-Grid_Generator::set_is_ray_or_point_or_inequality() {
- kind_ = RAY_OR_POINT_OR_INEQUALITY;
-}
-
-inline void
-Grid_Generator::set_topology(Topology x) {
- PPL_USED(x);
- PPL_ASSERT(x == NECESSARILY_CLOSED);
-}
-
-inline void
-Grid_Generator::set_necessarily_closed() {
- set_topology(NECESSARILY_CLOSED);
-}
-
-inline void
-Grid_Generator::set_not_necessarily_closed() {
- set_topology(NOT_NECESSARILY_CLOSED);
-}
-
-inline
-Grid_Generator::Grid_Generator(Linear_Expression& e, Type type)
- : semi_wrapped_expr(expr), wrapped_expr(semi_wrapped_expr, true) {
- swap(expr, e);
- if (type == LINE)
- kind_ = LINE_OR_EQUALITY;
- else
- kind_ = RAY_OR_POINT_OR_INEQUALITY;
- PPL_ASSERT(OK());
-}
-
-inline
-Grid_Generator::Grid_Generator(Representation r)
- : expr(Coefficient_one(), r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
- kind_(RAY_OR_POINT_OR_INEQUALITY) {
- expr.set_space_dimension(1);
- PPL_ASSERT(OK());
-}
-
-inline
-Grid_Generator::Grid_Generator(const Grid_Generator& g)
- : expr(g.expr),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
- kind_(g.kind_) {
-}
-
-inline
-Grid_Generator::Grid_Generator(const Grid_Generator& g, Representation r)
- : expr(g.expr, r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
- kind_(g.kind_) {
-}
-
-inline
-Grid_Generator::Grid_Generator(dimension_type space_dim, Kind kind,
- Topology topology, Representation r)
- : expr(r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
- kind_(kind) {
- PPL_USED(topology);
- PPL_ASSERT(topology == NECESSARILY_CLOSED);
- expr.set_space_dimension(space_dim + 1);
- PPL_ASSERT(space_dimension() == space_dim);
-}
-
-inline
-Grid_Generator::Grid_Generator(const Grid_Generator& g,
- dimension_type space_dim)
- : expr(g.expr, space_dim + 1),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
- kind_(g.kind_) {
- PPL_ASSERT(OK());
- PPL_ASSERT(space_dimension() == space_dim);
-}
-
-inline
-Grid_Generator::Grid_Generator(const Grid_Generator& g,
- dimension_type space_dim, Representation r)
- : expr(g.expr, space_dim + 1, r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
- kind_(g.kind_) {
- PPL_ASSERT(OK());
- PPL_ASSERT(space_dimension() == space_dim);
-}
-
-inline
-Grid_Generator::~Grid_Generator() {
-}
-
-inline const Grid_Generator::Expression&
-Grid_Generator::expression() const {
- return wrapped_expr;
-}
-
-inline Representation
-Grid_Generator::representation() const {
- return expr.representation();
-}
-
-inline void
-Grid_Generator::set_representation(Representation r) {
- expr.set_representation(r);
-}
-
-inline dimension_type
-Grid_Generator::max_space_dimension() {
- return Linear_Expression::max_space_dimension() - 1;
-}
-
-inline dimension_type
-Grid_Generator::space_dimension() const {
- return wrapped_expr.space_dimension();
-}
-
-inline void
-Grid_Generator::set_space_dimension(dimension_type space_dim) {
- const dimension_type old_space_dim = space_dimension();
- if (space_dim > old_space_dim) {
- expr.set_space_dimension(space_dim + 1);
- expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- } else {
- expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- expr.set_space_dimension(space_dim + 1);
- }
- PPL_ASSERT(space_dimension() == space_dim);
-}
-
-inline void
-Grid_Generator::set_space_dimension_no_ok(dimension_type space_dim) {
- set_space_dimension(space_dim);
-}
-
-inline void
-Grid_Generator::shift_space_dimensions(Variable v, dimension_type n) {
- expr.shift_space_dimensions(v, n);
-}
-
-inline Grid_Generator::Type
-Grid_Generator::type() const {
- if (is_line())
- return LINE;
- return is_point() ? POINT : PARAMETER;
-}
-
-inline bool
-Grid_Generator::is_line() const {
- return is_line_or_equality();
-}
-
-inline bool
-Grid_Generator::is_parameter() const {
- return is_parameter_or_point() && is_line_or_parameter();
-}
-
-inline bool
-Grid_Generator::is_line_or_parameter() const {
- return expr.inhomogeneous_term() == 0;
-}
-
-inline bool
-Grid_Generator::is_point() const {
- return !is_line_or_parameter();
-}
-
-inline bool
-Grid_Generator::is_parameter_or_point() const {
- return is_ray_or_point_or_inequality();
-}
-
-inline void
-Grid_Generator::set_divisor(Coefficient_traits::const_reference d) {
- PPL_ASSERT(!is_line());
- if (is_line_or_parameter())
- expr.set_coefficient(Variable(space_dimension()), d);
- else
- expr.set_inhomogeneous_term(d);
-}
-
-inline Coefficient_traits::const_reference
-Grid_Generator::divisor() const {
- if (is_line())
- throw_invalid_argument("divisor()", "*this is a line");
- if (is_line_or_parameter())
- return expr.coefficient(Variable(space_dimension()));
- else
- return expr.inhomogeneous_term();
-}
-
-inline bool
-Grid_Generator::is_equal_at_dimension(dimension_type dim,
- const Grid_Generator& y) const {
- const Grid_Generator& x = *this;
- return x.expr.get(dim) * y.divisor() == y.expr.get(dim) * x.divisor();
-}
-
-inline void
-Grid_Generator::set_is_line() {
- set_is_line_or_equality();
-}
-
-inline void
-Grid_Generator::set_is_parameter_or_point() {
- set_is_ray_or_point_or_inequality();
-}
-
-inline Grid_Generator&
-Grid_Generator::operator=(const Grid_Generator& g) {
- Grid_Generator tmp = g;
- swap(*this, tmp);
-
- return *this;
-}
-
-inline Coefficient_traits::const_reference
-Grid_Generator::coefficient(const Variable v) const {
- if (v.space_dimension() > space_dimension())
- throw_dimension_incompatible("coefficient(v)", "v", v);
- return expr.coefficient(v);
-}
-
-inline memory_size_type
-Grid_Generator::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline memory_size_type
-Grid_Generator::external_memory_in_bytes() const {
- return expr.external_memory_in_bytes();
-}
-
-inline const Grid_Generator&
-Grid_Generator::zero_dim_point() {
- PPL_ASSERT(zero_dim_point_p != 0);
- return *zero_dim_point_p;
-}
-
-inline void
-Grid_Generator::strong_normalize() {
- PPL_ASSERT(!is_parameter());
- expr.normalize();
- sign_normalize();
-}
-
-inline void
-Grid_Generator::m_swap(Grid_Generator& y) {
- using std::swap;
- swap(expr, y.expr);
- swap(kind_, y.kind_);
- // No need to modify wrapped_expr here.
-}
-
-/*! \relates Grid_Generator */
-inline bool
-operator==(const Grid_Generator& x, const Grid_Generator& y) {
- return x.is_equivalent_to(y);
-}
-
-/*! \relates Grid_Generator */
-inline bool
-operator!=(const Grid_Generator& x, const Grid_Generator& y) {
- return !(x == y);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-grid_line(const Linear_Expression& e, Representation r) {
- return Grid_Generator::grid_line(e, r);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-parameter(const Linear_Expression& e,
- Coefficient_traits::const_reference d, Representation r) {
- return Grid_Generator::parameter(e, d, r);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-parameter(Representation r) {
- return Grid_Generator::parameter(r);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-parameter(const Linear_Expression& e, Representation r) {
- return Grid_Generator::parameter(e, r);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-grid_point(const Linear_Expression& e,
- Coefficient_traits::const_reference d, Representation r) {
- return Grid_Generator::grid_point(e, d, r);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-grid_point(Representation r) {
- return Grid_Generator::grid_point(r);
-}
-
-/*! \relates Grid_Generator */
-inline Grid_Generator
-grid_point(const Linear_Expression& e, Representation r) {
- return Grid_Generator::grid_point(e, r);
-}
-
-/*! \relates Grid_Generator */
-inline void
-swap(Grid_Generator& x, Grid_Generator& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Grid_Generator_inlines_hh)
diff --git a/src/Grid_Generator.types.hh b/src/Grid_Generator.types.hh
deleted file mode 100644
index 956b2a9..0000000
--- a/src/Grid_Generator.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Grid_Generator_types_hh
-#define PPL_Grid_Generator_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Grid_Generator;
-
-}
-
-#endif // !defined(PPL_Grid_Generator_types_hh)
diff --git a/src/Grid_Generator_System.cc b/src/Grid_Generator_System.cc
index 90aa58c..762aa27 100644
--- a/src/Grid_Generator_System.cc
+++ b/src/Grid_Generator_System.cc
@@ -1,6 +1,6 @@
/* Grid_Generator_System class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,11 +22,11 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid_Generator_System.defs.hh"
-#include "Grid_Generator_System.inlines.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "Variables_Set.defs.hh"
+#include "Grid_Generator_System_defs.hh"
+#include "Grid_Generator_System_inlines.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "Variables_Set_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -74,8 +74,8 @@ PPL::Grid_Generator_System::insert(Grid_Generator& g, Recycle_Input) {
void
PPL::Grid_Generator_System
::affine_image(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// This is mostly a copy of Generator_System::affine_image.
Grid_Generator_System& x = *this;
@@ -153,7 +153,7 @@ PPL::Grid_Generator_System::OK() const {
if (sys.topology() == NOT_NECESSARILY_CLOSED) {
#ifndef NDEBUG
std::cerr << "Grid_Generator_System is NOT_NECESSARILY_CLOSED"
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -161,7 +161,7 @@ PPL::Grid_Generator_System::OK() const {
if (sys.is_sorted()) {
#ifndef NDEBUG
std::cerr << "Grid_Generator_System is marked as sorted."
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -172,7 +172,7 @@ PPL::Grid_Generator_System::OK() const {
/*! \relates Parma_Polyhedra_Library::Grid_Generator_System */
std::ostream&
PPL::IO_Operators::operator<<(std::ostream& s,
- const Grid_Generator_System& gs) {
+ const Grid_Generator_System& gs) {
Grid_Generator_System::const_iterator i = gs.begin();
const Grid_Generator_System::const_iterator gs_end = gs.end();
if (i == gs_end)
@@ -261,14 +261,14 @@ PPL::Grid_Generator_System::num_lines() const {
// If the Linear_System happens to be sorted, take advantage of the fact
// that lines are at the top of the system.
if (sys.is_sorted()) {
- dimension_type nrows = num_rows();
+ const dimension_type nrows = num_rows();
for (dimension_type i = 0; i < nrows && ggs[i].is_line(); ++i)
++n;
}
else {
for (dimension_type i = num_rows(); i-- > 0 ; )
if (ggs[i].is_line())
- ++n;
+ ++n;
}
return n;
}
@@ -287,12 +287,12 @@ PPL::Grid_Generator_System::num_parameters() const {
for (dimension_type i = num_rows();
i != 0 && ggs[--i].is_parameter_or_point(); )
if (ggs[i].is_line_or_parameter())
- ++n;
+ ++n;
}
else {
for (dimension_type i = num_rows(); i-- > 0 ; )
if (ggs[i].is_parameter())
- ++n;
+ ++n;
}
return n;
}
diff --git a/src/Grid_Generator_System.defs.hh b/src/Grid_Generator_System.defs.hh
deleted file mode 100644
index 6827233..0000000
--- a/src/Grid_Generator_System.defs.hh
+++ /dev/null
@@ -1,514 +0,0 @@
-/* Grid_Generator_System class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Generator_System_defs_hh
-#define PPL_Grid_Generator_System_defs_hh 1
-
-#include "Grid_Generator_System.types.hh"
-
-#include "Linear_System.defs.hh"
-#include "Grid_Generator.defs.hh"
-#include "Variables_Set.types.hh"
-#include "Polyhedron.types.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Grid_Generator_System
- Writes <CODE>false</CODE> if \p gs is empty. Otherwise, writes on
- \p s the generators of \p gs, all in one row and separated by ", ".
-*/
-std::ostream& operator<<(std::ostream& s, const Grid_Generator_System& gs);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Grid_Generator_System */
-void swap(Grid_Generator_System& x, Grid_Generator_System& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates Grid_Generator_System */
-bool operator==(const Grid_Generator_System& x,
- const Grid_Generator_System& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A system of grid generators.
-/*! \ingroup PPL_CXX_interface
- An object of the class Grid_Generator_System is a system of
- grid generators, i.e., a multiset of objects of the class
- Grid_Generator (lines, parameters and points).
- When inserting generators in a system, space dimensions are
- automatically adjusted so that all the generators in the system
- are defined on the same vector space.
- A system of grid generators which is meant to define a non-empty
- grid must include at least one point: the reason is that
- lines and parameters need a supporting point
- (lines only specify directions while parameters only
- specify direction and distance.
-
- \par
- In all the examples it is assumed that variables
- <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code defines the line having the same direction
- as the \f$x\f$ axis (i.e., the first Cartesian axis)
- in \f$\Rset^2\f$:
- \code
- Grid_Generator_System gs;
- gs.insert(grid_line(x + 0*y));
- \endcode
- As said above, this system of generators corresponds to
- an empty grid, because the line has no supporting point.
- To define a system of generators that does correspond to
- the \f$x\f$ axis, we can add the following code which
- inserts the origin of the space as a point:
- \code
- gs.insert(grid_point(0*x + 0*y));
- \endcode
- Since space dimensions are automatically adjusted, the following
- code obtains the same effect:
- \code
- gs.insert(grid_point(0*x));
- \endcode
- In contrast, if we had added the following code, we would have
- defined a line parallel to the \f$x\f$ axis through
- the point \f$(0, 1)^\transpose \in \Rset^2\f$.
- \code
- gs.insert(grid_point(0*x + 1*y));
- \endcode
-
- \par Example 2
- The following code builds a system of generators corresponding
- to the grid consisting of all the integral points on the \f$x\f$ axes;
- that is, all points satisfying the congruence relation
- \f[
- \bigl\{\,
- (x, 0)^\transpose \in \Rset^2
- \bigm|
- x \pmod{1}\ 0
- \,\bigr\},
- \f]
- \code
- Grid_Generator_System gs;
- gs.insert(parameter(x + 0*y));
- gs.insert(grid_point(0*x + 0*y));
- \endcode
-
- \par Example 3
- The following code builds a system of generators having three points
- corresponding to a non-relational grid consisting of all points
- whose coordinates are integer multiple of 3.
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(0*x + 0*y));
- gs.insert(grid_point(0*x + 3*y));
- gs.insert(grid_point(3*x + 0*y));
- \endcode
-
- \par Example 4
- By using parameters instead of two of the points we
- can define the same grid as that defined in the previous example.
- Note that there has to be at least one point and, for this purpose,
- any point in the grid could be considered.
- Thus the following code builds two identical grids from the
- grid generator systems \p gs and \p gs1.
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(0*x + 0*y));
- gs.insert(parameter(0*x + 3*y));
- gs.insert(parameter(3*x + 0*y));
- Grid_Generator_System gs1;
- gs1.insert(grid_point(3*x + 3*y));
- gs1.insert(parameter(0*x + 3*y));
- gs1.insert(parameter(3*x + 0*y));
- \endcode
-
- \par Example 5
- The following code builds a system of generators having one point and
- a parameter corresponding to all the integral points that
- lie on \f$x + y = 2\f$ in \f$\Rset^2\f$
- \code
- Grid_Generator_System gs;
- gs.insert(grid_point(1*x + 1*y));
- gs.insert(parameter(1*x - 1*y));
- \endcode
-
- \note
- After inserting a multiset of generators in a grid generator system,
- there are no guarantees that an <EM>exact</EM> copy of them
- can be retrieved:
- in general, only an <EM>equivalent</EM> grid generator system
- will be available, where original generators may have been
- reordered, removed (if they are duplicate or redundant), etc.
-*/
-class Parma_Polyhedra_Library::Grid_Generator_System {
-public:
- typedef Grid_Generator row_type;
-
- static const Representation default_representation = SPARSE;
-
- //! Default constructor: builds an empty system of generators.
- explicit Grid_Generator_System(Representation r = default_representation);
-
- //! Builds the singleton system containing only generator \p g.
- explicit Grid_Generator_System(const Grid_Generator& g,
- Representation r = default_representation);
-
- //! Builds an empty system of generators of dimension \p dim.
- explicit Grid_Generator_System(dimension_type dim,
- Representation r = default_representation);
-
- //! Ordinary copy constructor.
- //! The new Grid_Generator_System will have the same representation as `gs'.
- Grid_Generator_System(const Grid_Generator_System& gs);
-
- //! Copy constructor with specified representation.
- Grid_Generator_System(const Grid_Generator_System& gs, Representation r);
-
- //! Destructor.
- ~Grid_Generator_System();
-
- //! Assignment operator.
- Grid_Generator_System& operator=(const Grid_Generator_System& y);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Grid_Generator_System can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Removes all the generators from the generator system and sets its
- space dimension to 0.
- */
- void clear();
-
- /*! \brief
- Inserts into \p *this a copy of the generator \p g, increasing the
- number of space dimensions if needed.
-
- If \p g is an all-zero parameter then the only action is to ensure
- that the space dimension of \p *this is at least the space
- dimension of \p g.
- */
- void insert(const Grid_Generator& g);
-
- /*! \brief
- Inserts into \p *this the generator \p g, increasing the number of
- space dimensions if needed.
- */
- void insert(Grid_Generator& g, Recycle_Input);
-
- /*! \brief
- Inserts into \p *this the generators in \p gs, increasing the
- number of space dimensions if needed.
- */
- void insert(Grid_Generator_System& gs, Recycle_Input);
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- /*! \brief
- Returns the singleton system containing only
- Grid_Generator::zero_dim_point().
- */
- static const Grid_Generator_System& zero_dim_univ();
-
- //! An iterator over a system of grid generators
- /*! \ingroup PPL_CXX_interface
- A const_iterator is used to provide read-only access
- to each generator contained in an object of Grid_Generator_System.
-
- \par Example
- The following code prints the system of generators
- of the grid <CODE>gr</CODE>:
- \code
- const Grid_Generator_System& ggs = gr.generators();
- for (Grid_Generator_System::const_iterator i = ggs.begin(),
- ggs_end = ggs.end(); i != ggs_end; ++i)
- cout << *i << endl;
- \endcode
- The same effect can be obtained more concisely by using
- more features of the STL:
- \code
- const Grid_Generator_System& ggs = gr.generators();
- copy(ggs.begin(), ggs.end(), ostream_iterator<Grid_Generator>(cout, "\n"));
- \endcode
- */
- class const_iterator
- : public std::iterator<std::forward_iterator_tag,
- Grid_Generator,
- ptrdiff_t,
- const Grid_Generator*,
- const Grid_Generator&> {
- public:
- //! Default constructor.
- const_iterator();
-
- //! Ordinary copy constructor.
- const_iterator(const const_iterator& y);
-
- //! Destructor.
- ~const_iterator();
-
- //! Assignment operator.
- const_iterator& operator=(const const_iterator& y);
-
- //! Dereference operator.
- const Grid_Generator& operator*() const;
-
- //! Indirect member selector.
- const Grid_Generator* operator->() const;
-
- //! Prefix increment operator.
- const_iterator& operator++();
-
- //! Postfix increment operator.
- const_iterator operator++(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- identical.
- */
- bool operator==(const const_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- different.
- */
- bool operator!=(const const_iterator& y) const;
-
- private:
- friend class Grid_Generator_System;
-
- Linear_System<Grid_Generator>::const_iterator i;
-
- //! Copy constructor from Linear_System< Grid_Generator>::const_iterator.
- const_iterator(const Linear_System<Grid_Generator>::const_iterator& y);
- };
-
- //! Returns <CODE>true</CODE> if and only if \p *this has no generators.
- bool empty() const;
-
- /*! \brief
- Returns the const_iterator pointing to the first generator, if \p
- *this is not empty; otherwise, returns the past-the-end
- const_iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const_iterator.
- const_iterator end() const;
-
- //! Returns the number of rows (generators) in the system.
- dimension_type num_rows() const;
-
- //! Returns the number of parameters in the system.
- dimension_type num_parameters() const;
-
- //! Returns the number of lines in the system.
- dimension_type num_lines() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this contains one or
- more points.
- */
- bool has_points() const;
-
- //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
- bool is_equal_to(const Grid_Generator_System& y) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
-
- Resizes the matrix of generators using the numbers of rows and columns
- read from \p s, then initializes the coordinates of each generator
- and its type reading the contents from \p s.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Grid_Generator_System& y);
-
-private:
- //! Returns a constant reference to the \p k- th generator of the system.
- const Grid_Generator& operator[](dimension_type k) const;
-
- //! Assigns to a given variable an affine expression.
- /*!
- \param v
- The variable to which the affine transformation is assigned;
-
- \param expr
- The numerator of the affine transformation:
- \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
-
- \param denominator
- The denominator of the affine transformation;
-
- We allow affine transformations (see the Section \ref
- rational_grid_operations)to have rational
- coefficients. Since the coefficients of linear expressions are
- integers we also provide an integer \p denominator that will
- be used as denominator of the affine transformation. The
- denominator is required to be a positive integer and its
- default value is 1.
-
- The affine transformation assigns to every variable \p v, in every
- column, the follow expression:
- \f[
- \frac{\sum_{i = 0}^{n - 1} a_i x_i + b}
- {\mathrm{denominator}}.
- \f]
-
- \p expr is a constant parameter and unaltered by this computation.
- */
- void affine_image(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator);
-
- //! Sets the sortedness flag of the system to \p b.
- void set_sorted(bool b);
-
- /*! \brief
- Adds \p dims rows and \p dims columns of zeroes to the matrix,
- initializing the added rows as in the universe system.
-
- \param dims
- The number of rows and columns to be added: must be strictly
- positive.
-
- Turns the \f$r \times c\f$ matrix \f$A\f$ into the \f$(r+dims)
- \times (c+dims)\f$ matrix
- \f$\bigl(\genfrac{}{}{0pt}{}{A}{0} \genfrac{}{}{0pt}{}{0}{B}\bigr)\f$
- where \f$B\f$ is the \f$dims \times dims\f$ unit matrix of the form
- \f$\bigl(\genfrac{}{}{0pt}{}{1}{0} \genfrac{}{}{0pt}{}{0}{1}\bigr)\f$.
- The matrix is expanded avoiding reallocation whenever possible.
- */
- void add_universe_rows_and_columns(dimension_type dims);
-
- //! Resizes the system to the specified space dimension.
- void set_space_dimension(dimension_type space_dim);
-
- //! Removes all the specified dimensions from the generator system.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Sets the index to indicate that the system has no pending rows.
- void unset_pending_rows();
-
- //! Permutes the space dimensions of the matrix.
- /*
- \param cycle
- A vector representing a cycle of the permutation according to which the
- columns must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- bool has_no_rows() const;
-
- //! Makes the system shrink by removing its \p n trailing rows.
- void remove_trailing_rows(dimension_type n);
-
- void insert_verbatim(const Grid_Generator& g);
-
- //! Returns the system topology.
- Topology topology() const;
-
- //! Returns the index of the first pending row.
- dimension_type first_pending_row() const;
-
- Linear_System<Grid_Generator> sys;
-
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the singleton system containing only Grid_Generator::zero_dim_point().
- */
- static const Grid_Generator_System* zero_dim_univ_p;
-
- friend bool
- operator==(const Grid_Generator_System& x, const Grid_Generator_System& y);
-
- //! Sets the index of the first pending row to \p i.
- void set_index_first_pending_row(dimension_type i);
-
- //! Removes all the invalid lines and parameters.
- /*!
- The invalid lines and parameters are those with all
- the homogeneous terms set to zero.
- */
- void remove_invalid_lines_and_parameters();
-
- friend class Polyhedron;
- friend class Grid;
-};
-
-// Grid_Generator_System.inlines.hh is not included here on purpose.
-
-#endif // !defined(PPL_Grid_Generator_System_defs_hh)
diff --git a/src/Grid_Generator_System.inlines.hh b/src/Grid_Generator_System.inlines.hh
deleted file mode 100644
index 7e43231..0000000
--- a/src/Grid_Generator_System.inlines.hh
+++ /dev/null
@@ -1,279 +0,0 @@
-/* Grid_Generator_System class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Generator_System_inlines_hh
-#define PPL_Grid_Generator_System_inlines_hh 1
-
-#include "Grid_Generator.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-Grid_Generator_System::set_sorted(bool b) {
- sys.set_sorted(b);
-}
-
-inline void
-Grid_Generator_System::unset_pending_rows() {
- sys.unset_pending_rows();
-}
-
-inline void
-Grid_Generator_System::set_index_first_pending_row(const dimension_type i) {
- sys.set_index_first_pending_row(i);
-}
-
-inline void
-Grid_Generator_System
-::permute_space_dimensions(const std::vector<Variable>& cycle) {
- return sys.permute_space_dimensions(cycle);
-}
-
-inline bool
-Grid_Generator_System::is_equal_to(const Grid_Generator_System& y) const {
- return (sys == y.sys);
-}
-
-inline
-Grid_Generator_System::Grid_Generator_System(Representation r)
- : sys(NECESSARILY_CLOSED, r) {
- sys.set_sorted(false);
- PPL_ASSERT(space_dimension() == 0);
-}
-
-inline
-Grid_Generator_System::Grid_Generator_System(const Grid_Generator_System& gs)
- : sys(gs.sys) {
-}
-
-inline
-Grid_Generator_System::Grid_Generator_System(const Grid_Generator_System& gs,
- Representation r)
- : sys(gs.sys, r) {
-}
-
-inline
-Grid_Generator_System::Grid_Generator_System(dimension_type dim,
- Representation r)
- : sys(NECESSARILY_CLOSED, r) {
- sys.set_space_dimension(dim);
- sys.set_sorted(false);
- PPL_ASSERT(space_dimension() == dim);
-}
-
-inline
-Grid_Generator_System::Grid_Generator_System(const Grid_Generator& g,
- Representation r)
- : sys(NECESSARILY_CLOSED, r) {
- sys.insert(g);
- sys.set_sorted(false);
-}
-
-inline
-Grid_Generator_System::~Grid_Generator_System() {
-}
-
-inline Grid_Generator_System&
-Grid_Generator_System::operator=(const Grid_Generator_System& y) {
- Grid_Generator_System tmp = y;
- swap(*this, tmp);
- return *this;
-}
-
-inline Representation
-Grid_Generator_System::representation() const {
- return sys.representation();
-}
-
-inline void
-Grid_Generator_System::set_representation(Representation r) {
- sys.set_representation(r);
-}
-
-inline dimension_type
-Grid_Generator_System::max_space_dimension() {
- // Grid generators use an extra column for the parameter divisor.
- return Linear_System<Grid_Generator>::max_space_dimension() - 1;
-}
-
-inline dimension_type
-Grid_Generator_System::space_dimension() const {
- return sys.space_dimension();
-}
-
-inline const Grid_Generator_System&
-Grid_Generator_System::zero_dim_univ() {
- PPL_ASSERT(zero_dim_univ_p != 0);
- return *zero_dim_univ_p;
-}
-
-inline void
-Grid_Generator_System::clear() {
- sys.clear();
- sys.set_sorted(false);
- sys.unset_pending_rows();
- PPL_ASSERT(space_dimension() == 0);
-}
-
-inline void
-Grid_Generator_System::m_swap(Grid_Generator_System& y) {
- swap(sys, y.sys);
-}
-
-inline memory_size_type
-Grid_Generator_System::external_memory_in_bytes() const {
- return sys.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Grid_Generator_System::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-inline dimension_type
-Grid_Generator_System::num_rows() const {
- return sys.num_rows();
-}
-
-inline
-Grid_Generator_System::const_iterator::const_iterator()
- : i() {
-}
-
-inline
-Grid_Generator_System::const_iterator::const_iterator(const const_iterator& y)
- : i(y.i) {
-}
-
-inline
-Grid_Generator_System::const_iterator::~const_iterator() {
-}
-
-inline Grid_Generator_System::const_iterator&
-Grid_Generator_System::const_iterator::operator=(const const_iterator& y) {
- i = y.i;
- return *this;
-}
-
-inline const Grid_Generator&
-Grid_Generator_System::const_iterator::operator*() const {
- return *i;
-}
-
-inline const Grid_Generator*
-Grid_Generator_System::const_iterator::operator->() const {
- return i.operator->();
-}
-
-inline Grid_Generator_System::const_iterator&
-Grid_Generator_System::const_iterator::operator++() {
- ++i;
- return *this;
-}
-
-inline Grid_Generator_System::const_iterator
-Grid_Generator_System::const_iterator::operator++(int) {
- const const_iterator tmp = *this;
- operator++();
- return tmp;
-}
-
-inline bool
-Grid_Generator_System
-::const_iterator::operator==(const const_iterator& y) const {
- return i == y.i;
-}
-
-inline bool
-Grid_Generator_System
-::const_iterator::operator!=(const const_iterator& y) const {
- return i != y.i;
-}
-
-inline bool
-Grid_Generator_System::empty() const {
- return sys.has_no_rows();
-}
-
-inline
-Grid_Generator_System::const_iterator
-::const_iterator(const Linear_System<Grid_Generator>::const_iterator& y)
- : i(y) {
-}
-
-inline Grid_Generator_System::const_iterator
-Grid_Generator_System::begin() const {
- return static_cast<Grid_Generator_System::const_iterator>(sys.begin());
-}
-
-inline Grid_Generator_System::const_iterator
-Grid_Generator_System::end() const {
- return static_cast<Grid_Generator_System::const_iterator>(sys.end());
-}
-
-inline const Grid_Generator&
-Grid_Generator_System::operator[](const dimension_type k) const {
- return sys[k];
-}
-
-inline bool
-Grid_Generator_System::has_no_rows() const {
- return sys.has_no_rows();
-}
-
-inline void
-Grid_Generator_System::remove_trailing_rows(dimension_type n) {
- sys.remove_trailing_rows(n);
-}
-
-inline void
-Grid_Generator_System::insert_verbatim(const Grid_Generator& g) {
- sys.insert(g);
-}
-
-inline Topology
-Grid_Generator_System::topology() const {
- return sys.topology();
-}
-
-inline dimension_type
-Grid_Generator_System::first_pending_row() const {
- return sys.first_pending_row();
-}
-
-/*! \relates Grid_Generator_System */
-inline bool
-operator==(const Grid_Generator_System& x,
- const Grid_Generator_System& y) {
- return x.is_equal_to(y);
-}
-
-/*! \relates Grid_Generator_System */
-inline void
-swap(Grid_Generator_System& x, Grid_Generator_System& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Grid_Generator_System_inlines_hh)
diff --git a/src/Grid_Generator_System.types.hh b/src/Grid_Generator_System.types.hh
deleted file mode 100644
index 73bda4c..0000000
--- a/src/Grid_Generator_System.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Grid_Generator_System_types_hh
-#define PPL_Grid_Generator_System_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Grid_Generator_System;
-
-}
-
-#endif // !defined(PPL_Grid_Generator_System_types_hh)
diff --git a/src/Grid_Generator_System_defs.hh b/src/Grid_Generator_System_defs.hh
new file mode 100644
index 0000000..efe2f98
--- /dev/null
+++ b/src/Grid_Generator_System_defs.hh
@@ -0,0 +1,514 @@
+/* Grid_Generator_System class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Generator_System_defs_hh
+#define PPL_Grid_Generator_System_defs_hh 1
+
+#include "Grid_Generator_System_types.hh"
+
+#include "Linear_System_defs.hh"
+#include "Grid_Generator_defs.hh"
+#include "Variables_Set_types.hh"
+#include "Polyhedron_types.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Grid_Generator_System
+ Writes <CODE>false</CODE> if \p gs is empty. Otherwise, writes on
+ \p s the generators of \p gs, all in one row and separated by ", ".
+*/
+std::ostream& operator<<(std::ostream& s, const Grid_Generator_System& gs);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Grid_Generator_System */
+void swap(Grid_Generator_System& x, Grid_Generator_System& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates Grid_Generator_System */
+bool operator==(const Grid_Generator_System& x,
+ const Grid_Generator_System& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A system of grid generators.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Grid_Generator_System is a system of
+ grid generators, i.e., a multiset of objects of the class
+ Grid_Generator (lines, parameters and points).
+ When inserting generators in a system, space dimensions are
+ automatically adjusted so that all the generators in the system
+ are defined on the same vector space.
+ A system of grid generators which is meant to define a non-empty
+ grid must include at least one point: the reason is that
+ lines and parameters need a supporting point
+ (lines only specify directions while parameters only
+ specify direction and distance.
+
+ \par
+ In all the examples it is assumed that variables
+ <CODE>x</CODE> and <CODE>y</CODE> are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code defines the line having the same direction
+ as the \f$x\f$ axis (i.e., the first Cartesian axis)
+ in \f$\Rset^2\f$:
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_line(x + 0*y));
+ \endcode
+ As said above, this system of generators corresponds to
+ an empty grid, because the line has no supporting point.
+ To define a system of generators that does correspond to
+ the \f$x\f$ axis, we can add the following code which
+ inserts the origin of the space as a point:
+ \code
+ gs.insert(grid_point(0*x + 0*y));
+ \endcode
+ Since space dimensions are automatically adjusted, the following
+ code obtains the same effect:
+ \code
+ gs.insert(grid_point(0*x));
+ \endcode
+ In contrast, if we had added the following code, we would have
+ defined a line parallel to the \f$x\f$ axis through
+ the point \f$(0, 1)^\transpose \in \Rset^2\f$.
+ \code
+ gs.insert(grid_point(0*x + 1*y));
+ \endcode
+
+ \par Example 2
+ The following code builds a system of generators corresponding
+ to the grid consisting of all the integral points on the \f$x\f$ axes;
+ that is, all points satisfying the congruence relation
+ \f[
+ \bigl\{\,
+ (x, 0)^\transpose \in \Rset^2
+ \bigm|
+ x \pmod{1}\ 0
+ \,\bigr\},
+ \f]
+ \code
+ Grid_Generator_System gs;
+ gs.insert(parameter(x + 0*y));
+ gs.insert(grid_point(0*x + 0*y));
+ \endcode
+
+ \par Example 3
+ The following code builds a system of generators having three points
+ corresponding to a non-relational grid consisting of all points
+ whose coordinates are integer multiple of 3.
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(0*x + 0*y));
+ gs.insert(grid_point(0*x + 3*y));
+ gs.insert(grid_point(3*x + 0*y));
+ \endcode
+
+ \par Example 4
+ By using parameters instead of two of the points we
+ can define the same grid as that defined in the previous example.
+ Note that there has to be at least one point and, for this purpose,
+ any point in the grid could be considered.
+ Thus the following code builds two identical grids from the
+ grid generator systems \p gs and \p gs1.
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(0*x + 0*y));
+ gs.insert(parameter(0*x + 3*y));
+ gs.insert(parameter(3*x + 0*y));
+ Grid_Generator_System gs1;
+ gs1.insert(grid_point(3*x + 3*y));
+ gs1.insert(parameter(0*x + 3*y));
+ gs1.insert(parameter(3*x + 0*y));
+ \endcode
+
+ \par Example 5
+ The following code builds a system of generators having one point and
+ a parameter corresponding to all the integral points that
+ lie on \f$x + y = 2\f$ in \f$\Rset^2\f$
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(1*x + 1*y));
+ gs.insert(parameter(1*x - 1*y));
+ \endcode
+
+ \note
+ After inserting a multiset of generators in a grid generator system,
+ there are no guarantees that an <EM>exact</EM> copy of them
+ can be retrieved:
+ in general, only an <EM>equivalent</EM> grid generator system
+ will be available, where original generators may have been
+ reordered, removed (if they are duplicate or redundant), etc.
+*/
+class Parma_Polyhedra_Library::Grid_Generator_System {
+public:
+ typedef Grid_Generator row_type;
+
+ static const Representation default_representation = SPARSE;
+
+ //! Default constructor: builds an empty system of generators.
+ explicit Grid_Generator_System(Representation r = default_representation);
+
+ //! Builds the singleton system containing only generator \p g.
+ explicit Grid_Generator_System(const Grid_Generator& g,
+ Representation r = default_representation);
+
+ //! Builds an empty system of generators of dimension \p dim.
+ explicit Grid_Generator_System(dimension_type dim,
+ Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ //! The new Grid_Generator_System will have the same representation as `gs'.
+ Grid_Generator_System(const Grid_Generator_System& gs);
+
+ //! Copy constructor with specified representation.
+ Grid_Generator_System(const Grid_Generator_System& gs, Representation r);
+
+ //! Destructor.
+ ~Grid_Generator_System();
+
+ //! Assignment operator.
+ Grid_Generator_System& operator=(const Grid_Generator_System& y);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Grid_Generator_System can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Removes all the generators from the generator system and sets its
+ space dimension to 0.
+ */
+ void clear();
+
+ /*! \brief
+ Inserts into \p *this a copy of the generator \p g, increasing the
+ number of space dimensions if needed.
+
+ If \p g is an all-zero parameter then the only action is to ensure
+ that the space dimension of \p *this is at least the space
+ dimension of \p g.
+ */
+ void insert(const Grid_Generator& g);
+
+ /*! \brief
+ Inserts into \p *this the generator \p g, increasing the number of
+ space dimensions if needed.
+ */
+ void insert(Grid_Generator& g, Recycle_Input);
+
+ /*! \brief
+ Inserts into \p *this the generators in \p gs, increasing the
+ number of space dimensions if needed.
+ */
+ void insert(Grid_Generator_System& gs, Recycle_Input);
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ /*! \brief
+ Returns the singleton system containing only
+ Grid_Generator::zero_dim_point().
+ */
+ static const Grid_Generator_System& zero_dim_univ();
+
+ //! An iterator over a system of grid generators
+ /*! \ingroup PPL_CXX_interface
+ A const_iterator is used to provide read-only access
+ to each generator contained in an object of Grid_Generator_System.
+
+ \par Example
+ The following code prints the system of generators
+ of the grid <CODE>gr</CODE>:
+ \code
+ const Grid_Generator_System& ggs = gr.generators();
+ for (Grid_Generator_System::const_iterator i = ggs.begin(),
+ ggs_end = ggs.end(); i != ggs_end; ++i)
+ cout << *i << endl;
+ \endcode
+ The same effect can be obtained more concisely by using
+ more features of the STL:
+ \code
+ const Grid_Generator_System& ggs = gr.generators();
+ copy(ggs.begin(), ggs.end(), ostream_iterator<Grid_Generator>(cout, "\n"));
+ \endcode
+ */
+ class const_iterator
+ : public std::iterator<std::forward_iterator_tag,
+ Grid_Generator,
+ ptrdiff_t,
+ const Grid_Generator*,
+ const Grid_Generator&> {
+ public:
+ //! Default constructor.
+ const_iterator();
+
+ //! Ordinary copy constructor.
+ const_iterator(const const_iterator& y);
+
+ //! Destructor.
+ ~const_iterator();
+
+ //! Assignment operator.
+ const_iterator& operator=(const const_iterator& y);
+
+ //! Dereference operator.
+ const Grid_Generator& operator*() const;
+
+ //! Indirect member selector.
+ const Grid_Generator* operator->() const;
+
+ //! Prefix increment operator.
+ const_iterator& operator++();
+
+ //! Postfix increment operator.
+ const_iterator operator++(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ identical.
+ */
+ bool operator==(const const_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ different.
+ */
+ bool operator!=(const const_iterator& y) const;
+
+ private:
+ friend class Grid_Generator_System;
+
+ Linear_System<Grid_Generator>::const_iterator i;
+
+ //! Copy constructor from Linear_System< Grid_Generator>::const_iterator.
+ const_iterator(const Linear_System<Grid_Generator>::const_iterator& y);
+ };
+
+ //! Returns <CODE>true</CODE> if and only if \p *this has no generators.
+ bool empty() const;
+
+ /*! \brief
+ Returns the const_iterator pointing to the first generator, if \p
+ *this is not empty; otherwise, returns the past-the-end
+ const_iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const_iterator.
+ const_iterator end() const;
+
+ //! Returns the number of rows (generators) in the system.
+ dimension_type num_rows() const;
+
+ //! Returns the number of parameters in the system.
+ dimension_type num_parameters() const;
+
+ //! Returns the number of lines in the system.
+ dimension_type num_lines() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this contains one or
+ more points.
+ */
+ bool has_points() const;
+
+ //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
+ bool is_equal_to(const Grid_Generator_System& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+
+ Resizes the matrix of generators using the numbers of rows and columns
+ read from \p s, then initializes the coordinates of each generator
+ and its type reading the contents from \p s.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Grid_Generator_System& y);
+
+private:
+ //! Returns a constant reference to the \p k- th generator of the system.
+ const Grid_Generator& operator[](dimension_type k) const;
+
+ //! Assigns to a given variable an affine expression.
+ /*!
+ \param v
+ The variable to which the affine transformation is assigned;
+
+ \param expr
+ The numerator of the affine transformation:
+ \f$\sum_{i = 0}^{n - 1} a_i x_i + b\f$;
+
+ \param denominator
+ The denominator of the affine transformation;
+
+ We allow affine transformations (see the Section \ref
+ rational_grid_operations)to have rational
+ coefficients. Since the coefficients of linear expressions are
+ integers we also provide an integer \p denominator that will
+ be used as denominator of the affine transformation. The
+ denominator is required to be a positive integer and its
+ default value is 1.
+
+ The affine transformation assigns to every variable \p v, in every
+ column, the follow expression:
+ \f[
+ \frac{\sum_{i = 0}^{n - 1} a_i x_i + b}
+ {\mathrm{denominator}}.
+ \f]
+
+ \p expr is a constant parameter and unaltered by this computation.
+ */
+ void affine_image(Variable v,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator);
+
+ //! Sets the sortedness flag of the system to \p b.
+ void set_sorted(bool b);
+
+ /*! \brief
+ Adds \p dims rows and \p dims columns of zeroes to the matrix,
+ initializing the added rows as in the universe system.
+
+ \param dims
+ The number of rows and columns to be added: must be strictly
+ positive.
+
+ Turns the \f$r \times c\f$ matrix \f$A\f$ into the \f$(r+dims)
+ \times (c+dims)\f$ matrix
+ \f$\bigl(\genfrac{}{}{0pt}{}{A}{0} \genfrac{}{}{0pt}{}{0}{B}\bigr)\f$
+ where \f$B\f$ is the \f$dims \times dims\f$ unit matrix of the form
+ \f$\bigl(\genfrac{}{}{0pt}{}{1}{0} \genfrac{}{}{0pt}{}{0}{1}\bigr)\f$.
+ The matrix is expanded avoiding reallocation whenever possible.
+ */
+ void add_universe_rows_and_columns(dimension_type dims);
+
+ //! Resizes the system to the specified space dimension.
+ void set_space_dimension(dimension_type space_dim);
+
+ //! Removes all the specified dimensions from the generator system.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Sets the index to indicate that the system has no pending rows.
+ void unset_pending_rows();
+
+ //! Permutes the space dimensions of the matrix.
+ /*
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ columns must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ bool has_no_rows() const;
+
+ //! Makes the system shrink by removing its \p n trailing rows.
+ void remove_trailing_rows(dimension_type n);
+
+ void insert_verbatim(const Grid_Generator& g);
+
+ //! Returns the system topology.
+ Topology topology() const;
+
+ //! Returns the index of the first pending row.
+ dimension_type first_pending_row() const;
+
+ Linear_System<Grid_Generator> sys;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the singleton system containing only Grid_Generator::zero_dim_point().
+ */
+ static const Grid_Generator_System* zero_dim_univ_p;
+
+ friend bool
+ operator==(const Grid_Generator_System& x, const Grid_Generator_System& y);
+
+ //! Sets the index of the first pending row to \p i.
+ void set_index_first_pending_row(dimension_type i);
+
+ //! Removes all the invalid lines and parameters.
+ /*!
+ The invalid lines and parameters are those with all
+ the homogeneous terms set to zero.
+ */
+ void remove_invalid_lines_and_parameters();
+
+ friend class Polyhedron;
+ friend class Grid;
+};
+
+// Grid_Generator_System_inlines.hh is not included here on purpose.
+
+#endif // !defined(PPL_Grid_Generator_System_defs_hh)
diff --git a/src/Grid_Generator_System_inlines.hh b/src/Grid_Generator_System_inlines.hh
new file mode 100644
index 0000000..4b4b56f
--- /dev/null
+++ b/src/Grid_Generator_System_inlines.hh
@@ -0,0 +1,279 @@
+/* Grid_Generator_System class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Generator_System_inlines_hh
+#define PPL_Grid_Generator_System_inlines_hh 1
+
+#include "Grid_Generator_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+Grid_Generator_System::set_sorted(bool b) {
+ sys.set_sorted(b);
+}
+
+inline void
+Grid_Generator_System::unset_pending_rows() {
+ sys.unset_pending_rows();
+}
+
+inline void
+Grid_Generator_System::set_index_first_pending_row(const dimension_type i) {
+ sys.set_index_first_pending_row(i);
+}
+
+inline void
+Grid_Generator_System
+::permute_space_dimensions(const std::vector<Variable>& cycle) {
+ return sys.permute_space_dimensions(cycle);
+}
+
+inline bool
+Grid_Generator_System::is_equal_to(const Grid_Generator_System& y) const {
+ return (sys == y.sys);
+}
+
+inline
+Grid_Generator_System::Grid_Generator_System(Representation r)
+ : sys(NECESSARILY_CLOSED, r) {
+ sys.set_sorted(false);
+ PPL_ASSERT(space_dimension() == 0);
+}
+
+inline
+Grid_Generator_System::Grid_Generator_System(const Grid_Generator_System& gs)
+ : sys(gs.sys) {
+}
+
+inline
+Grid_Generator_System::Grid_Generator_System(const Grid_Generator_System& gs,
+ Representation r)
+ : sys(gs.sys, r) {
+}
+
+inline
+Grid_Generator_System::Grid_Generator_System(dimension_type dim,
+ Representation r)
+ : sys(NECESSARILY_CLOSED, r) {
+ sys.set_space_dimension(dim);
+ sys.set_sorted(false);
+ PPL_ASSERT(space_dimension() == dim);
+}
+
+inline
+Grid_Generator_System::Grid_Generator_System(const Grid_Generator& g,
+ Representation r)
+ : sys(NECESSARILY_CLOSED, r) {
+ sys.insert(g);
+ sys.set_sorted(false);
+}
+
+inline
+Grid_Generator_System::~Grid_Generator_System() {
+}
+
+inline Grid_Generator_System&
+Grid_Generator_System::operator=(const Grid_Generator_System& y) {
+ Grid_Generator_System tmp = y;
+ swap(*this, tmp);
+ return *this;
+}
+
+inline Representation
+Grid_Generator_System::representation() const {
+ return sys.representation();
+}
+
+inline void
+Grid_Generator_System::set_representation(Representation r) {
+ sys.set_representation(r);
+}
+
+inline dimension_type
+Grid_Generator_System::max_space_dimension() {
+ // Grid generators use an extra column for the parameter divisor.
+ return Linear_System<Grid_Generator>::max_space_dimension() - 1;
+}
+
+inline dimension_type
+Grid_Generator_System::space_dimension() const {
+ return sys.space_dimension();
+}
+
+inline const Grid_Generator_System&
+Grid_Generator_System::zero_dim_univ() {
+ PPL_ASSERT(zero_dim_univ_p != 0);
+ return *zero_dim_univ_p;
+}
+
+inline void
+Grid_Generator_System::clear() {
+ sys.clear();
+ sys.set_sorted(false);
+ sys.unset_pending_rows();
+ PPL_ASSERT(space_dimension() == 0);
+}
+
+inline void
+Grid_Generator_System::m_swap(Grid_Generator_System& y) {
+ swap(sys, y.sys);
+}
+
+inline memory_size_type
+Grid_Generator_System::external_memory_in_bytes() const {
+ return sys.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Grid_Generator_System::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+inline dimension_type
+Grid_Generator_System::num_rows() const {
+ return sys.num_rows();
+}
+
+inline
+Grid_Generator_System::const_iterator::const_iterator()
+ : i() {
+}
+
+inline
+Grid_Generator_System::const_iterator::const_iterator(const const_iterator& y)
+ : i(y.i) {
+}
+
+inline
+Grid_Generator_System::const_iterator::~const_iterator() {
+}
+
+inline Grid_Generator_System::const_iterator&
+Grid_Generator_System::const_iterator::operator=(const const_iterator& y) {
+ i = y.i;
+ return *this;
+}
+
+inline const Grid_Generator&
+Grid_Generator_System::const_iterator::operator*() const {
+ return *i;
+}
+
+inline const Grid_Generator*
+Grid_Generator_System::const_iterator::operator->() const {
+ return i.operator->();
+}
+
+inline Grid_Generator_System::const_iterator&
+Grid_Generator_System::const_iterator::operator++() {
+ ++i;
+ return *this;
+}
+
+inline Grid_Generator_System::const_iterator
+Grid_Generator_System::const_iterator::operator++(int) {
+ const const_iterator tmp = *this;
+ operator++();
+ return tmp;
+}
+
+inline bool
+Grid_Generator_System
+::const_iterator::operator==(const const_iterator& y) const {
+ return i == y.i;
+}
+
+inline bool
+Grid_Generator_System
+::const_iterator::operator!=(const const_iterator& y) const {
+ return i != y.i;
+}
+
+inline bool
+Grid_Generator_System::empty() const {
+ return sys.has_no_rows();
+}
+
+inline
+Grid_Generator_System::const_iterator
+::const_iterator(const Linear_System<Grid_Generator>::const_iterator& y)
+ : i(y) {
+}
+
+inline Grid_Generator_System::const_iterator
+Grid_Generator_System::begin() const {
+ return static_cast<Grid_Generator_System::const_iterator>(sys.begin());
+}
+
+inline Grid_Generator_System::const_iterator
+Grid_Generator_System::end() const {
+ return static_cast<Grid_Generator_System::const_iterator>(sys.end());
+}
+
+inline const Grid_Generator&
+Grid_Generator_System::operator[](const dimension_type k) const {
+ return sys[k];
+}
+
+inline bool
+Grid_Generator_System::has_no_rows() const {
+ return sys.has_no_rows();
+}
+
+inline void
+Grid_Generator_System::remove_trailing_rows(dimension_type n) {
+ sys.remove_trailing_rows(n);
+}
+
+inline void
+Grid_Generator_System::insert_verbatim(const Grid_Generator& g) {
+ sys.insert(g);
+}
+
+inline Topology
+Grid_Generator_System::topology() const {
+ return sys.topology();
+}
+
+inline dimension_type
+Grid_Generator_System::first_pending_row() const {
+ return sys.first_pending_row();
+}
+
+/*! \relates Grid_Generator_System */
+inline bool
+operator==(const Grid_Generator_System& x,
+ const Grid_Generator_System& y) {
+ return x.is_equal_to(y);
+}
+
+/*! \relates Grid_Generator_System */
+inline void
+swap(Grid_Generator_System& x, Grid_Generator_System& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Grid_Generator_System_inlines_hh)
diff --git a/src/Grid_Generator_System_types.hh b/src/Grid_Generator_System_types.hh
new file mode 100644
index 0000000..3c5dff7
--- /dev/null
+++ b/src/Grid_Generator_System_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Grid_Generator_System_types_hh
+#define PPL_Grid_Generator_System_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Grid_Generator_System;
+
+}
+
+#endif // !defined(PPL_Grid_Generator_System_types_hh)
diff --git a/src/Grid_Generator_defs.hh b/src/Grid_Generator_defs.hh
new file mode 100644
index 0000000..d3b03ea
--- /dev/null
+++ b/src/Grid_Generator_defs.hh
@@ -0,0 +1,796 @@
+/* Grid_Generator class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Generator_defs_hh
+#define PPL_Grid_Generator_defs_hh 1
+
+#include "Grid_Generator_types.hh"
+#include "Grid_types.hh"
+
+#include "Variables_Set_types.hh"
+#include "Grid_Generator_System_types.hh"
+#include "Linear_System_types.hh"
+
+#include "Coefficient_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Topology_types.hh"
+#include "Expression_Hide_Inhomo_defs.hh"
+#include "Expression_Hide_Last_defs.hh"
+
+#include "Grid_types.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+// Put these in the namespace here to declare them friend later.
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The basic comparison function.
+/*! \relates Grid_Generator
+ \return
+ The returned absolute value can be \f$0\f$, \f$1\f$ or \f$2\f$.
+
+ \param x
+ A row of coefficients;
+
+ \param y
+ Another row.
+
+ Compares \p x and \p y, where \p x and \p y may be of different size,
+ in which case the "missing" coefficients are assumed to be zero.
+ The comparison is such that:
+ -# equalities are smaller than inequalities;
+ -# lines are smaller than points and rays;
+ -# the ordering is lexicographic;
+ -# the positions compared are, in decreasing order of significance,
+ 1, 2, ..., \p size(), 0;
+ -# the result is negative, zero, or positive if x is smaller than,
+ equal to, or greater than y, respectively;
+ -# when \p x and \p y are different, the absolute value of the
+ result is 1 if the difference is due to the coefficient in
+ position 0; it is 2 otherwise.
+
+ When \p x and \p y represent the hyper-planes associated
+ to two equality or inequality constraints, the coefficient
+ at 0 is the known term.
+ In this case, the return value can be characterized as follows:
+ - -2, if \p x is smaller than \p y and they are \e not parallel;
+ - -1, if \p x is smaller than \p y and they \e are parallel;
+ - 0, if \p x and y are equal;
+ - +1, if \p y is smaller than \p x and they \e are parallel;
+ - +2, if \p y is smaller than \p x and they are \e not parallel.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+int compare(const Grid_Generator& x, const Grid_Generator& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Grid_Generator */
+std::ostream& operator<<(std::ostream& s, const Grid_Generator& g);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Grid_Generator */
+void swap(Grid_Generator& x, Grid_Generator& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A grid line, parameter or grid point.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Grid_Generator is one of the following:
+
+ - a grid_line \f$\vect{l} = (a_0, \ldots, a_{n-1})^\transpose\f$;
+
+ - a parameter
+ \f$\vect{q} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
+
+ - a grid_point
+ \f$\vect{p} = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$;
+
+ where \f$n\f$ is the dimension of the space
+ and, for grid_points and parameters, \f$d > 0\f$ is the divisor.
+
+ \par How to build a grid generator.
+ Each type of generator is built by applying the corresponding
+ function (<CODE>grid_line</CODE>, <CODE>parameter</CODE>
+ or <CODE>grid_point</CODE>) to a linear expression;
+ the space dimension of the generator is defined as the space dimension
+ of the corresponding linear expression.
+ Linear expressions used to define a generator should be homogeneous
+ (any constant term will be simply ignored).
+ When defining grid points and parameters, an optional Coefficient argument
+ can be used as a common <EM>divisor</EM> for all the coefficients
+ occurring in the provided linear expression;
+ the default value for this argument is 1.
+
+ \par
+ In all the following examples it is assumed that variables
+ <CODE>x</CODE>, <CODE>y</CODE> and <CODE>z</CODE>
+ are defined as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(2);
+ \endcode
+
+ \par Example 1
+ The following code builds a grid line with direction \f$x-y-z\f$
+ and having space dimension \f$3\f$:
+ \code
+ Grid_Generator l = grid_line(x - y - z);
+ \endcode
+ By definition, the origin of the space is not a line, so that
+ the following code throws an exception:
+ \code
+ Grid_Generator l = grid_line(0*x);
+ \endcode
+
+ \par Example 2
+ The following code builds the parameter as the vector
+ \f$\vect{p} = (1, -1, -1)^\transpose \in \Rset^3\f$
+ which has the same direction as the line in Example 1:
+ \code
+ Grid_Generator q = parameter(x - y - z);
+ \endcode
+ Note that, unlike lines, for parameters, the length as well
+ as the direction of the vector represented by the code is significant.
+ Thus \p q is \e not the same as the parameter \p q1 defined by
+ \code
+ Grid_Generator q1 = parameter(2x - 2y - 2z);
+ \endcode
+ By definition, the origin of the space is not a parameter, so that
+ the following code throws an exception:
+ \code
+ Grid_Generator q = parameter(0*x);
+ \endcode
+
+ \par Example 3
+ The following code builds the grid point
+ \f$\vect{p} = (1, 0, 2)^\transpose \in \Rset^3\f$:
+ \code
+ Grid_Generator p = grid_point(1*x + 0*y + 2*z);
+ \endcode
+ The same effect can be obtained by using the following code:
+ \code
+ Grid_Generator p = grid_point(x + 2*z);
+ \endcode
+ Similarly, the origin \f$\vect{0} \in \Rset^3\f$ can be defined
+ using either one of the following lines of code:
+ \code
+ Grid_Generator origin3 = grid_point(0*x + 0*y + 0*z);
+ Grid_Generator origin3_alt = grid_point(0*z);
+ \endcode
+ Note however that the following code would have defined
+ a different point, namely \f$\vect{0} \in \Rset^2\f$:
+ \code
+ Grid_Generator origin2 = grid_point(0*y);
+ \endcode
+ The following two lines of code both define the only grid point
+ having space dimension zero, namely \f$\vect{0} \in \Rset^0\f$.
+ In the second case we exploit the fact that the first argument
+ of the function <CODE>point</CODE> is optional.
+ \code
+ Grid_Generator origin0 = Generator::zero_dim_point();
+ Grid_Generator origin0_alt = grid_point();
+ \endcode
+
+ \par Example 4
+ The grid point \f$\vect{p}\f$ specified in Example 3 above
+ can also be obtained with the following code,
+ where we provide a non-default value for the second argument
+ of the function <CODE>grid_point</CODE> (the divisor):
+ \code
+ Grid_Generator p = grid_point(2*x + 0*y + 4*z, 2);
+ \endcode
+ Obviously, the divisor can be used to specify
+ points having some non-integer (but rational) coordinates.
+ For instance, the grid point
+ \f$\vect{p1} = (-1.5, 3.2, 2.1)^\transpose \in \Rset^3\f$
+ can be specified by the following code:
+ \code
+ Grid_Generator p1 = grid_point(-15*x + 32*y + 21*z, 10);
+ \endcode
+ If a zero divisor is provided, an exception is thrown.
+
+ \par Example 5
+ Parameters, like grid points can have a divisor.
+ For instance, the parameter
+ \f$\vect{q} = (1, 0, 2)^\transpose \in \Rset^3\f$ can be defined:
+ \code
+ Grid_Generator q = parameter(2*x + 0*y + 4*z, 2);
+ \endcode
+ Also, the divisor can be used to specify
+ parameters having some non-integer (but rational) coordinates.
+ For instance, the parameter
+ \f$\vect{q} = (-1.5, 3.2, 2.1)^\transpose \in \Rset^3\f$
+ can be defined:
+ \code
+ Grid_Generator q = parameter(-15*x + 32*y + 21*z, 10);
+ \endcode
+ If a zero divisor is provided, an exception is thrown.
+
+ \par How to inspect a grid generator
+ Several methods are provided to examine a grid generator and extract
+ all the encoded information: its space dimension, its type and
+ the value of its integer coefficients and the value of the denominator.
+
+ \par Example 6
+ The following code shows how it is possible to access each single
+ coefficient of a grid generator.
+ If <CODE>g1</CODE> is a grid point having coordinates
+ \f$(a_0, \ldots, a_{n-1})^\transpose\f$,
+ we construct the parameter <CODE>g2</CODE> having coordinates
+ \f$(a_0, 2 a_1, \ldots, (i+1)a_i, \ldots, n a_{n-1})^\transpose\f$.
+ \code
+ if (g1.is_point()) {
+ cout << "Grid point g1: " << g1 << endl;
+ Linear_Expression e;
+ for (dimension_type i = g1.space_dimension(); i-- > 0; )
+ e += (i + 1) * g1.coefficient(Variable(i)) * Variable(i);
+ Grid_Generator g2 = parameter(e, g1.divisor());
+ cout << "Parameter g2: " << g2 << endl;
+ }
+ else
+ cout << "Grid generator g1 is not a grid point." << endl;
+ \endcode
+ Therefore, for the grid point
+ \code
+ Grid_Generator g1 = grid_point(2*x - y + 3*z, 2);
+ \endcode
+ we would obtain the following output:
+ \code
+ Grid point g1: p((2*A - B + 3*C)/2)
+ Parameter g2: parameter((2*A - 2*B + 9*C)/2)
+ \endcode
+ When working with grid points and parameters, be careful not to confuse
+ the notion of <EM>coefficient</EM> with the notion of <EM>coordinate</EM>:
+ these are equivalent only when the divisor is 1.
+*/
+class Parma_Polyhedra_Library::Grid_Generator {
+public:
+
+ //! The possible kinds of Grid_Generator objects.
+ enum Kind {
+ LINE_OR_EQUALITY = 0,
+ RAY_OR_POINT_OR_INEQUALITY = 1
+ };
+
+ //! The representation used for new Grid_Generators.
+ /*!
+ \note The copy constructor and the copy constructor with specified size
+ use the representation of the original object, so that it is
+ indistinguishable from the original object.
+ */
+ static const Representation default_representation = SPARSE;
+
+ //! Returns the line of direction \p e.
+ /*!
+ \exception std::invalid_argument
+ Thrown if the homogeneous part of \p e represents the origin of
+ the vector space.
+ */
+ static Grid_Generator grid_line(const Linear_Expression& e,
+ Representation r = default_representation);
+
+ //! Returns the parameter of direction \p e and size \p e/d, with the same
+ //! representation as e.
+ /*!
+ Both \p e and \p d are optional arguments, with default values
+ Linear_Expression::zero() and Coefficient_one(), respectively.
+
+ \exception std::invalid_argument
+ Thrown if \p d is zero.
+ */
+ static Grid_Generator parameter(const Linear_Expression& e
+ = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d
+ = Coefficient_one(),
+ Representation r = default_representation);
+
+ // TODO: Improve the documentation of this method.
+ //! Returns the parameter of direction and size \p Linear_Expression::zero() .
+ static Grid_Generator parameter(Representation r);
+
+ //! Returns the parameter of direction and size \p e .
+ static Grid_Generator parameter(const Linear_Expression& e,
+ Representation r);
+
+ //! Returns the point at \p e / \p d.
+ /*!
+ Both \p e and \p d are optional arguments, with default values
+ Linear_Expression::zero() and Coefficient_one(), respectively.
+
+ \exception std::invalid_argument
+ Thrown if \p d is zero.
+ */
+ static Grid_Generator grid_point(const Linear_Expression& e
+ = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d
+ = Coefficient_one(),
+ Representation r = default_representation);
+
+ //! Returns the point at \p e .
+ static Grid_Generator grid_point(Representation r);
+
+ //! Returns the point at \p e .
+ static Grid_Generator grid_point(const Linear_Expression& e,
+ Representation r);
+
+ //! Returns the origin of the zero-dimensional space \f$\Rset^0\f$.
+ explicit Grid_Generator(Representation r = default_representation);
+
+ //! Ordinary copy constructor.
+ //! The new Grid_Generator will have the same representation as g.
+ Grid_Generator(const Grid_Generator& g);
+
+ //! Copy constructor with specified representation.
+ Grid_Generator(const Grid_Generator& g, Representation r);
+
+ //! Copy constructor with specified space dimension.
+ //! The new Grid_Generator will have the same representation as g.
+ Grid_Generator(const Grid_Generator& g, dimension_type space_dim);
+
+ //! Copy constructor with specified space dimension and representation.
+ Grid_Generator(const Grid_Generator& g, dimension_type space_dim,
+ Representation r);
+
+ //! Destructor.
+ ~Grid_Generator();
+
+ //! Assignment operator.
+ Grid_Generator& operator=(const Grid_Generator& g);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Grid_Generator can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Sets the dimension of the vector space enclosing \p *this to
+ //! \p space_dim .
+ void set_space_dimension(dimension_type space_dim);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Removes all the specified dimensions from the grid generator.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+
+ Always returns \p true. The return value is needed for compatibility with
+ the Generator class.
+ */
+ bool remove_space_dimensions(const Variables_Set& vars);
+
+ //! Permutes the space dimensions of the grid generator.
+ /*
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! The generator type.
+ enum Type {
+ /*! The generator is a grid line. */
+ LINE,
+ /*! The generator is a parameter. */
+ PARAMETER,
+ /*! The generator is a grid point. */
+ POINT
+ };
+
+ //! Returns the generator type of \p *this.
+ Type type() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a line.
+ bool is_line() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a parameter.
+ bool is_parameter() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is a line or
+ a parameter.
+ */
+ bool is_line_or_parameter() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a point.
+ bool is_point() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row represents a
+ parameter or a point.
+ */
+ bool is_parameter_or_point() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ /*!
+ \exception std::invalid_argument
+ Thrown if the index of \p v is greater than or equal to the
+ space dimension of \p *this.
+ */
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns the divisor of \p *this.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this is a line.
+ */
+ Coefficient_traits::const_reference divisor() const;
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ //! Returns the origin of the zero-dimensional space \f$\Rset^0\f$.
+ static const Grid_Generator& zero_dim_point();
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ equivalent generators.
+
+ Generators having different space dimensions are not equivalent.
+ */
+ bool is_equivalent_to(const Grid_Generator& y) const;
+
+ //! Returns <CODE>true</CODE> if \p *this is identical to \p y.
+ /*!
+ This is faster than is_equivalent_to(), but it may return `false' even
+ for equivalent generators.
+ */
+ bool is_equal_to(const Grid_Generator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous terms
+ of \p *this are \f$0\f$.
+ */
+ bool all_homogeneous_terms_are_zero() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Grid_Generator& y);
+
+ /*! \brief
+ Scales \p *this to be represented with a divisor of \p d (if
+ \*this is a parameter or point). Does nothing at all on lines.
+
+ It is assumed that \p d is a multiple of the current divisor
+ and different from zero. The behavior is undefined if the assumption
+ does not hold.
+ */
+ void scale_to_divisor(Coefficient_traits::const_reference d);
+
+ //! Sets the divisor of \p *this to \p d.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this is a line.
+ */
+ void set_divisor(Coefficient_traits::const_reference d);
+
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> >
+ expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
+
+private:
+ Linear_Expression expr;
+
+ Kind kind_;
+
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the origin of the zero-dimensional space \f$\Rset^0\f$.
+ */
+ static const Grid_Generator* zero_dim_point_p;
+
+ //! Constructs a Grid_Generator with the specified space dimension, kind
+ //! and topology.
+ Grid_Generator(dimension_type space_dim, Kind kind, Topology topology,
+ Representation r = default_representation);
+
+ // TODO: Avoid reducing the space dimension.
+ /*! \brief
+ Constructs a grid generator of type \p t from linear expression \p e,
+ stealing the underlying data structures from \p e.
+
+ The last column in \p e becomes the parameter divisor column of
+ the new Grid_Generator.
+
+ \note The new Grid_Generator will have the same representation as `e'.
+ */
+ Grid_Generator(Linear_Expression& e, Type t);
+
+ //! Sets the dimension of the vector space enclosing \p *this to
+ //! \p space_dim .
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ /*!
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid objects.
+ */
+ void set_space_dimension_no_ok(dimension_type space_dim);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if \p *this is equal to \p gg in
+ dimension \p dim.
+ */
+ bool is_equal_at_dimension(dimension_type dim,
+ const Grid_Generator& gg) const;
+
+ /*! \brief
+ A print function, with fancy, more human-friendly output.
+
+ This is used by operator<<().
+ */
+ void fancy_print(std::ostream& s) const;
+
+ //! Converts the Grid_Generator into a parameter.
+ void set_is_parameter();
+
+ //! Sets the Grid_Generator kind to <CODE>LINE_OR_EQUALITY</CODE>.
+ void set_is_line();
+
+ //! Sets the Grid_Generator kind to <CODE>RAY_OR_POINT_OR_INEQUALITY</CODE>.
+ void set_is_parameter_or_point();
+
+ //! \name Flags inspection methods
+ //@{
+ //! Returns the topological kind of \p *this.
+ Topology topology() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the topology
+ of \p *this row is not necessarily closed.
+ */
+ bool is_not_necessarily_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the topology
+ of \p *this row is necessarily closed.
+ */
+ bool is_necessarily_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row
+ represents a line or an equality.
+ */
+ bool is_line_or_equality() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this row
+ represents a ray, a point or an inequality.
+ */
+ bool is_ray_or_point_or_inequality() const;
+ //@} // Flags inspection methods
+
+ //! \name Flags coercion methods
+ //@{
+
+ //! Sets to \p x the topological kind of \p *this row.
+ void set_topology(Topology x);
+
+ //! Sets to \p NECESSARILY_CLOSED the topological kind of \p *this row.
+ void set_necessarily_closed();
+
+ //! Sets to \p NOT_NECESSARILY_CLOSED the topological kind of \p *this row.
+ void set_not_necessarily_closed();
+
+ //! Sets to \p LINE_OR_EQUALITY the kind of \p *this row.
+ void set_is_line_or_equality();
+
+ //! Sets to \p RAY_OR_POINT_OR_INEQUALITY the kind of \p *this row.
+ void set_is_ray_or_point_or_inequality();
+ //@} // Flags coercion methods
+
+ /*! \brief
+ Normalizes the sign of the coefficients so that the first non-zero
+ (homogeneous) coefficient of a line-or-equality is positive.
+ */
+ void sign_normalize();
+
+ /*! \brief
+ Strong normalization: ensures that different Grid_Generator objects
+ represent different hyperplanes or hyperspaces.
+
+ Applies both Grid_Generator::normalize() and Grid_Generator::sign_normalize().
+ */
+ void strong_normalize();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the coefficients are
+ strongly normalized.
+ */
+ bool check_strong_normalized() const;
+
+ //! Linearly combines \p *this with \p y so that i-th coefficient is 0.
+ /*!
+ \param y
+ The Grid_Generator that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting Grid_Generator to \p *this and normalizes it.
+ */
+ void linear_combine(const Grid_Generator& y, dimension_type i);
+
+ /*! \brief
+ Throw a <CODE>std::invalid_argument</CODE> exception containing
+ the appropriate error message.
+ */
+ void
+ throw_dimension_incompatible(const char* method,
+ const char* name_var,
+ const Variable v) const;
+
+ /*! \brief
+ Throw a <CODE>std::invalid_argument</CODE> exception containing
+ the appropriate error message.
+ */
+ void
+ throw_invalid_argument(const char* method, const char* reason) const;
+
+ friend std::ostream&
+ IO_Operators::operator<<(std::ostream& s, const Grid_Generator& g);
+
+ friend int
+ compare(const Grid_Generator& x, const Grid_Generator& y);
+
+ friend class Expression_Adapter<Grid_Generator>;
+ friend class Grid_Generator_System;
+ friend class Grid;
+ friend class Linear_System<Grid_Generator>;
+ friend class Scalar_Products;
+ friend class Topology_Adjusted_Scalar_Product_Sign;
+};
+
+
+namespace Parma_Polyhedra_Library {
+
+/*! \brief
+ Shorthand for
+ Grid_Generator::grid_line(const Linear_Expression& e, Representation r).
+
+ \relates Grid_Generator
+*/
+Grid_Generator
+grid_line(const Linear_Expression& e,
+ Representation r = Grid_Generator::default_representation);
+
+/*! \brief
+ Shorthand for
+ Grid_Generator::parameter(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
+
+ \relates Grid_Generator
+*/
+Grid_Generator
+parameter(const Linear_Expression& e = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d = Coefficient_one(),
+ Representation r = Grid_Generator::default_representation);
+
+//! Shorthand for Grid_Generator::parameter(Representation r).
+/*! \relates Grid_Generator */
+Grid_Generator
+parameter(Representation r);
+
+/*! \brief
+ Shorthand for
+ Grid_Generator::parameter(const Linear_Expression& e, Representation r).
+
+ \relates Grid_Generator
+*/
+Grid_Generator
+parameter(const Linear_Expression& e, Representation r);
+
+/*! \brief
+ Shorthand for
+ Grid_Generator::grid_point(const Linear_Expression& e, Coefficient_traits::const_reference d, Representation r).
+
+ \relates Grid_Generator
+*/
+Grid_Generator
+grid_point(const Linear_Expression& e = Linear_Expression::zero(),
+ Coefficient_traits::const_reference d = Coefficient_one(),
+ Representation r = Grid_Generator::default_representation);
+
+//! Shorthand for Grid_Generator::grid_point(Representation r).
+/*! \relates Grid_Generator */
+Grid_Generator
+grid_point(Representation r);
+
+/*! \brief
+ Shorthand for
+ Grid_Generator::grid_point(const Linear_Expression& e, Representation r).
+
+ \relates Grid_Generator
+*/
+Grid_Generator
+grid_point(const Linear_Expression& e, Representation r);
+
+//! Returns <CODE>true</CODE> if and only if \p x is equivalent to \p y.
+/*! \relates Grid_Generator */
+bool operator==(const Grid_Generator& x, const Grid_Generator& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x is not equivalent to \p y.
+/*! \relates Grid_Generator */
+bool operator!=(const Grid_Generator& x, const Grid_Generator& y);
+
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Grid_Generator */
+std::ostream& operator<<(std::ostream& s, const Grid_Generator::Type& t);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Grid_Generator_inlines.hh"
+
+#endif // !defined(PPL_Grid_Generator_defs_hh)
diff --git a/src/Grid_Generator_inlines.hh b/src/Grid_Generator_inlines.hh
new file mode 100644
index 0000000..2d7b6bb
--- /dev/null
+++ b/src/Grid_Generator_inlines.hh
@@ -0,0 +1,369 @@
+/* Grid Generator class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Generator_inlines_hh
+#define PPL_Grid_Generator_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline bool
+Grid_Generator::is_necessarily_closed() const {
+ return true;
+}
+
+inline bool
+Grid_Generator::is_not_necessarily_closed() const {
+ return false;
+}
+
+inline bool
+Grid_Generator::is_line_or_equality() const {
+ return (kind_ == LINE_OR_EQUALITY);
+}
+
+inline bool
+Grid_Generator::is_ray_or_point_or_inequality() const {
+ return (kind_ == RAY_OR_POINT_OR_INEQUALITY);
+}
+
+inline Topology
+Grid_Generator::topology() const {
+ return NECESSARILY_CLOSED;
+}
+
+inline void
+Grid_Generator::set_is_line_or_equality() {
+ kind_ = LINE_OR_EQUALITY;
+}
+
+inline void
+Grid_Generator::set_is_ray_or_point_or_inequality() {
+ kind_ = RAY_OR_POINT_OR_INEQUALITY;
+}
+
+inline void
+Grid_Generator::set_topology(Topology x) {
+ PPL_USED(x);
+ PPL_ASSERT(x == NECESSARILY_CLOSED);
+}
+
+inline void
+Grid_Generator::set_necessarily_closed() {
+ set_topology(NECESSARILY_CLOSED);
+}
+
+inline void
+Grid_Generator::set_not_necessarily_closed() {
+ set_topology(NOT_NECESSARILY_CLOSED);
+}
+
+inline
+Grid_Generator::Grid_Generator(Linear_Expression& e, Type type) {
+ swap(expr, e);
+ if (type == LINE)
+ kind_ = LINE_OR_EQUALITY;
+ else
+ kind_ = RAY_OR_POINT_OR_INEQUALITY;
+ PPL_ASSERT(OK());
+}
+
+inline
+Grid_Generator::Grid_Generator(Representation r)
+ : expr(Coefficient_one(), r),
+ kind_(RAY_OR_POINT_OR_INEQUALITY) {
+ expr.set_space_dimension(1);
+ PPL_ASSERT(OK());
+}
+
+inline
+Grid_Generator::Grid_Generator(const Grid_Generator& g)
+ : expr(g.expr),
+ kind_(g.kind_) {
+}
+
+inline
+Grid_Generator::Grid_Generator(const Grid_Generator& g, Representation r)
+ : expr(g.expr, r),
+ kind_(g.kind_) {
+}
+
+inline
+Grid_Generator::Grid_Generator(dimension_type space_dim, Kind kind,
+ Topology topology, Representation r)
+ : expr(r),
+ kind_(kind) {
+ PPL_USED(topology);
+ PPL_ASSERT(topology == NECESSARILY_CLOSED);
+ expr.set_space_dimension(space_dim + 1);
+ PPL_ASSERT(space_dimension() == space_dim);
+}
+
+inline
+Grid_Generator::Grid_Generator(const Grid_Generator& g,
+ dimension_type space_dim)
+ : expr(g.expr, space_dim + 1),
+ kind_(g.kind_) {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(space_dimension() == space_dim);
+}
+
+inline
+Grid_Generator::Grid_Generator(const Grid_Generator& g,
+ dimension_type space_dim, Representation r)
+ : expr(g.expr, space_dim + 1, r),
+ kind_(g.kind_) {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(space_dimension() == space_dim);
+}
+
+inline
+Grid_Generator::~Grid_Generator() {
+}
+
+inline Grid_Generator::expr_type
+Grid_Generator::expression() const {
+ return expr_type(expr, true);
+}
+
+inline Representation
+Grid_Generator::representation() const {
+ return expr.representation();
+}
+
+inline void
+Grid_Generator::set_representation(Representation r) {
+ expr.set_representation(r);
+}
+
+inline dimension_type
+Grid_Generator::max_space_dimension() {
+ return Linear_Expression::max_space_dimension() - 1;
+}
+
+inline dimension_type
+Grid_Generator::space_dimension() const {
+ return expression().space_dimension();
+}
+
+inline void
+Grid_Generator::set_space_dimension(dimension_type space_dim) {
+ const dimension_type old_space_dim = space_dimension();
+ if (space_dim > old_space_dim) {
+ expr.set_space_dimension(space_dim + 1);
+ expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
+ }
+ else {
+ expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
+ expr.set_space_dimension(space_dim + 1);
+ }
+ PPL_ASSERT(space_dimension() == space_dim);
+}
+
+inline void
+Grid_Generator::set_space_dimension_no_ok(dimension_type space_dim) {
+ set_space_dimension(space_dim);
+}
+
+inline void
+Grid_Generator::shift_space_dimensions(Variable v, dimension_type n) {
+ expr.shift_space_dimensions(v, n);
+}
+
+inline Grid_Generator::Type
+Grid_Generator::type() const {
+ if (is_line())
+ return LINE;
+ return is_point() ? POINT : PARAMETER;
+}
+
+inline bool
+Grid_Generator::is_line() const {
+ return is_line_or_equality();
+}
+
+inline bool
+Grid_Generator::is_parameter() const {
+ return is_parameter_or_point() && is_line_or_parameter();
+}
+
+inline bool
+Grid_Generator::is_line_or_parameter() const {
+ return expr.inhomogeneous_term() == 0;
+}
+
+inline bool
+Grid_Generator::is_point() const {
+ return !is_line_or_parameter();
+}
+
+inline bool
+Grid_Generator::is_parameter_or_point() const {
+ return is_ray_or_point_or_inequality();
+}
+
+inline void
+Grid_Generator::set_divisor(Coefficient_traits::const_reference d) {
+ PPL_ASSERT(!is_line());
+ if (is_line_or_parameter())
+ expr.set_coefficient(Variable(space_dimension()), d);
+ else
+ expr.set_inhomogeneous_term(d);
+}
+
+inline Coefficient_traits::const_reference
+Grid_Generator::divisor() const {
+ if (is_line())
+ throw_invalid_argument("divisor()", "*this is a line");
+ if (is_line_or_parameter())
+ return expr.coefficient(Variable(space_dimension()));
+ else
+ return expr.inhomogeneous_term();
+}
+
+inline bool
+Grid_Generator::is_equal_at_dimension(dimension_type dim,
+ const Grid_Generator& y) const {
+ const Grid_Generator& x = *this;
+ return x.expr.get(dim) * y.divisor() == y.expr.get(dim) * x.divisor();
+}
+
+inline void
+Grid_Generator::set_is_line() {
+ set_is_line_or_equality();
+}
+
+inline void
+Grid_Generator::set_is_parameter_or_point() {
+ set_is_ray_or_point_or_inequality();
+}
+
+inline Grid_Generator&
+Grid_Generator::operator=(const Grid_Generator& g) {
+ Grid_Generator tmp = g;
+ swap(*this, tmp);
+
+ return *this;
+}
+
+inline Coefficient_traits::const_reference
+Grid_Generator::coefficient(const Variable v) const {
+ if (v.space_dimension() > space_dimension())
+ throw_dimension_incompatible("coefficient(v)", "v", v);
+ return expr.coefficient(v);
+}
+
+inline memory_size_type
+Grid_Generator::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline memory_size_type
+Grid_Generator::external_memory_in_bytes() const {
+ return expr.external_memory_in_bytes();
+}
+
+inline const Grid_Generator&
+Grid_Generator::zero_dim_point() {
+ PPL_ASSERT(zero_dim_point_p != 0);
+ return *zero_dim_point_p;
+}
+
+inline void
+Grid_Generator::strong_normalize() {
+ PPL_ASSERT(!is_parameter());
+ expr.normalize();
+ sign_normalize();
+}
+
+inline void
+Grid_Generator::m_swap(Grid_Generator& y) {
+ using std::swap;
+ swap(expr, y.expr);
+ swap(kind_, y.kind_);
+}
+
+/*! \relates Grid_Generator */
+inline bool
+operator==(const Grid_Generator& x, const Grid_Generator& y) {
+ return x.is_equivalent_to(y);
+}
+
+/*! \relates Grid_Generator */
+inline bool
+operator!=(const Grid_Generator& x, const Grid_Generator& y) {
+ return !(x == y);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+grid_line(const Linear_Expression& e, Representation r) {
+ return Grid_Generator::grid_line(e, r);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+parameter(const Linear_Expression& e,
+ Coefficient_traits::const_reference d, Representation r) {
+ return Grid_Generator::parameter(e, d, r);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+parameter(Representation r) {
+ return Grid_Generator::parameter(r);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+parameter(const Linear_Expression& e, Representation r) {
+ return Grid_Generator::parameter(e, r);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+grid_point(const Linear_Expression& e,
+ Coefficient_traits::const_reference d, Representation r) {
+ return Grid_Generator::grid_point(e, d, r);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+grid_point(Representation r) {
+ return Grid_Generator::grid_point(r);
+}
+
+/*! \relates Grid_Generator */
+inline Grid_Generator
+grid_point(const Linear_Expression& e, Representation r) {
+ return Grid_Generator::grid_point(e, r);
+}
+
+/*! \relates Grid_Generator */
+inline void
+swap(Grid_Generator& x, Grid_Generator& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Grid_Generator_inlines_hh)
diff --git a/src/Grid_Generator_types.hh b/src/Grid_Generator_types.hh
new file mode 100644
index 0000000..e7a86ad
--- /dev/null
+++ b/src/Grid_Generator_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Grid_Generator_types_hh
+#define PPL_Grid_Generator_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Grid_Generator;
+
+}
+
+#endif // !defined(PPL_Grid_Generator_types_hh)
diff --git a/src/Grid_Status.cc b/src/Grid_Status.cc
index ee42455..63b5edb 100644
--- a/src/Grid_Status.cc
+++ b/src/Grid_Status.cc
@@ -1,6 +1,6 @@
/* Grid::Status class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid.defs.hh"
+#include "Grid_defs.hh"
#include "assert.hh"
#include <iostream>
#include <string>
@@ -177,7 +177,7 @@ PPL::Grid::Status::OK() const {
return true;
#ifndef NDEBUG
cerr << "The empty flag is incompatible with any other one."
- << endl << "Flags:" << endl;
+ << endl << "Flags:" << endl;
ascii_dump(cerr);
#endif
return false;
@@ -189,7 +189,7 @@ PPL::Grid::Status::OK() const {
cerr <<
"If a saturation matrix is up-to-date, congruences and\n"
"generators have to be both up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
@@ -197,7 +197,7 @@ PPL::Grid::Status::OK() const {
if (test_c_minimized() && !test_c_up_to_date()) {
#ifndef NDEBUG
cerr << "If congruences are minimized they must be up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
@@ -205,7 +205,7 @@ PPL::Grid::Status::OK() const {
if (test_g_minimized() && !test_g_up_to_date()) {
#ifndef NDEBUG
cerr << "If generators are minimized they must be up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
@@ -213,7 +213,7 @@ PPL::Grid::Status::OK() const {
if (test_c_pending() && test_g_pending()) {
#ifndef NDEBUG
cerr << "There cannot be both pending congruences and pending generators."
- << endl;
+ << endl;
#endif
return false;
}
@@ -224,7 +224,7 @@ PPL::Grid::Status::OK() const {
cerr <<
"If there are pending congruences or generators, congruences\n"
"and generators must be minimized."
- << endl;
+ << endl;
#endif
return false;
}
@@ -234,7 +234,7 @@ PPL::Grid::Status::OK() const {
cerr <<
"If there are pending congruences or generators, there must\n"
"be at least a saturation matrix up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
diff --git a/src/Grid_Status.idefs.hh b/src/Grid_Status.idefs.hh
deleted file mode 100644
index 2c94896..0000000
--- a/src/Grid_Status.idefs.hh
+++ /dev/null
@@ -1,168 +0,0 @@
-/* Grid::Status class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Status_idefs_hh
-#define PPL_Grid_Status_idefs_hh 1
-
-#ifndef PPL_IN_Grid_CLASS
-#error "Do not include Grid_Status.idefs.hh directly; use Grid.defs.hh instead"
-#endif
-
-//! A conjunctive assertion about a grid.
-/*!
- The assertions supported that are in use are:
- - <EM>zero-dim universe</EM>: the grid is the zero-dimension
- vector space \f$\Rset^0 = \{\cdot\}\f$;
- - <EM>empty</EM>: the grid is the empty set;
- - <EM>congruences up-to-date</EM>: the grid is correctly
- characterized by the attached system of congruences, modulo the
- processing of pending generators;
- - <EM>generators up-to-date</EM>: the grid is correctly
- characterized by the attached system of generators, modulo the
- processing of pending congruences;
- - <EM>congruences minimized</EM>: the non-pending part of the system
- of congruences attached to the grid is in minimal form;
- - <EM>generators minimized</EM>: the non-pending part of the system
- of generators attached to the grid is in minimal form.
-
- Other supported assertions are:
- - <EM>congruences pending</EM>
- - <EM>generators pending</EM>
- - <EM>congruences' saturation matrix up-to-date</EM>
- - <EM>generators' saturation matrix up-to-date</EM>.
-
- Not all the conjunctions of these elementary assertions constitute
- a legal Status. In fact:
- - <EM>zero-dim universe</EM> excludes any other assertion;
- - <EM>empty</EM>: excludes any other assertion;
- - <EM>congruences pending</EM> and <EM>generators pending</EM>
- are mutually exclusive;
- - <EM>congruences pending</EM> implies both <EM>congruences minimized</EM>
- and <EM>generators minimized</EM>;
- - <EM>generators pending</EM> implies both <EM>congruences minimized</EM>
- and <EM>generators minimized</EM>;
- - <EM>congruences minimized</EM> implies <EM>congruences up-to-date</EM>;
- - <EM>generators minimized</EM> implies <EM>generators up-to-date</EM>;
- - <EM>congruences' saturation matrix up-to-date</EM> implies both
- <EM>congruences up-to-date</EM> and <EM>generators up-to-date</EM>;
- - <EM>generators' saturation matrix up-to-date</EM> implies both
- <EM>congruences up-to-date</EM> and <EM>generators up-to-date</EM>.
-*/
-class Status {
-public:
- //! By default Status is the <EM>zero-dim universe</EM> assertion.
- Status();
-
- //! \name Test, remove or add an individual assertion from the conjunction
- //@{
- bool test_zero_dim_univ() const;
- void reset_zero_dim_univ();
- void set_zero_dim_univ();
-
- bool test_empty() const;
- void reset_empty();
- void set_empty();
-
- bool test_c_up_to_date() const;
- void reset_c_up_to_date();
- void set_c_up_to_date();
-
- bool test_g_up_to_date() const;
- void reset_g_up_to_date();
- void set_g_up_to_date();
-
- bool test_c_minimized() const;
- void reset_c_minimized();
- void set_c_minimized();
-
- bool test_g_minimized() const;
- void reset_g_minimized();
- void set_g_minimized();
-
- bool test_sat_c_up_to_date() const;
- void reset_sat_c_up_to_date();
- void set_sat_c_up_to_date();
-
- bool test_sat_g_up_to_date() const;
- void reset_sat_g_up_to_date();
- void set_sat_g_up_to_date();
-
- bool test_c_pending() const;
- void reset_c_pending();
- void set_c_pending();
-
- bool test_g_pending() const;
- void reset_g_pending();
- void set_g_pending();
- //@} // Test, remove or add an individual assertion from the conjunction
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
-private:
- //! Status is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bitmasks for the individual assertions
- //@{
- static const flags_t ZERO_DIM_UNIV = 0U;
- static const flags_t EMPTY = 1U << 0;
- static const flags_t C_UP_TO_DATE = 1U << 1;
- static const flags_t G_UP_TO_DATE = 1U << 2;
- static const flags_t C_MINIMIZED = 1U << 3;
- static const flags_t G_MINIMIZED = 1U << 4;
- static const flags_t SAT_C_UP_TO_DATE = 1U << 5;
- static const flags_t SAT_G_UP_TO_DATE = 1U << 6;
- static const flags_t CS_PENDING = 1U << 7;
- static const flags_t GS_PENDING = 1U << 8;
- //@} // Bitmasks for the individual assertions
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! Construct from a bitmask.
- Status(flags_t mask);
-
- //! Check whether <EM>all</EM> bits in \p mask are set.
- bool test_all(flags_t mask) const;
-
- //! Check whether <EM>at least one</EM> bit in \p mask is set.
- bool test_any(flags_t mask) const;
-
- //! Set the bits in \p mask.
- void set(flags_t mask);
-
- //! Reset the bits in \p mask.
- void reset(flags_t mask);
-};
-
-#endif // !defined(PPL_Grid_Status_idefs_hh)
diff --git a/src/Grid_Status.inlines.hh b/src/Grid_Status.inlines.hh
deleted file mode 100644
index 935217a..0000000
--- a/src/Grid_Status.inlines.hh
+++ /dev/null
@@ -1,217 +0,0 @@
-/* Grid::Status class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Grid_Status_inlines_hh
-#define PPL_Grid_Status_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Grid::Status::Status(flags_t mask)
- : flags(mask) {
-}
-
-inline
-Grid::Status::Status()
- : flags(ZERO_DIM_UNIV) {
-}
-
-inline bool
-Grid::Status::test_all(flags_t mask) const {
- return (flags & mask) == mask;
-}
-
-inline bool
-Grid::Status::test_any(flags_t mask) const {
- return (flags & mask) != 0;
-}
-
-inline void
-Grid::Status::set(flags_t mask) {
- flags |= mask;
-}
-
-inline void
-Grid::Status::reset(flags_t mask) {
- flags &= ~mask;
-}
-
-inline bool
-Grid::Status::test_zero_dim_univ() const {
- return flags == ZERO_DIM_UNIV;
-}
-
-inline void
-Grid::Status::reset_zero_dim_univ() {
- // This is a no-op if the current status is not zero-dim.
- if (flags == ZERO_DIM_UNIV)
- // In the zero-dim space, if it is not the universe it is empty.
- flags = EMPTY;
-}
-
-inline void
-Grid::Status::set_zero_dim_univ() {
- // Zero-dim universe is incompatible with anything else.
- flags = ZERO_DIM_UNIV;
-}
-
-inline bool
-Grid::Status::test_empty() const {
- return test_any(EMPTY);
-}
-
-inline void
-Grid::Status::reset_empty() {
- reset(EMPTY);
-}
-
-inline void
-Grid::Status::set_empty() {
- flags = EMPTY;
-}
-
-inline bool
-Grid::Status::test_c_up_to_date() const {
- return test_any(C_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::reset_c_up_to_date() {
- reset(C_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::set_c_up_to_date() {
- set(C_UP_TO_DATE);
-}
-
-inline bool
-Grid::Status::test_g_up_to_date() const {
- return test_any(G_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::reset_g_up_to_date() {
- reset(G_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::set_g_up_to_date() {
- set(G_UP_TO_DATE);
-}
-
-inline bool
-Grid::Status::test_c_minimized() const {
- return test_any(C_MINIMIZED);
-}
-
-inline void
-Grid::Status::reset_c_minimized() {
- reset(C_MINIMIZED);
-}
-
-inline void
-Grid::Status::set_c_minimized() {
- set(C_MINIMIZED);
-}
-
-inline bool
-Grid::Status::test_g_minimized() const {
- return test_any(G_MINIMIZED);
-}
-
-inline void
-Grid::Status::reset_g_minimized() {
- reset(G_MINIMIZED);
-}
-
-inline void
-Grid::Status::set_g_minimized() {
- set(G_MINIMIZED);
-}
-
-
-inline bool
-Grid::Status::test_c_pending() const {
- return test_any(CS_PENDING);
-}
-
-inline void
-Grid::Status::reset_c_pending() {
- reset(CS_PENDING);
-}
-
-inline void
-Grid::Status::set_c_pending() {
- set(CS_PENDING);
-}
-
-inline bool
-Grid::Status::test_g_pending() const {
- return test_any(GS_PENDING);
-}
-
-inline void
-Grid::Status::reset_g_pending() {
- reset(GS_PENDING);
-}
-
-inline void
-Grid::Status::set_g_pending() {
- set(GS_PENDING);
-}
-
-
-inline bool
-Grid::Status::test_sat_c_up_to_date() const {
- return test_any(SAT_C_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::reset_sat_c_up_to_date() {
- reset(SAT_C_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::set_sat_c_up_to_date() {
- set(SAT_C_UP_TO_DATE);
-}
-
-inline bool
-Grid::Status::test_sat_g_up_to_date() const {
- return test_any(SAT_G_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::reset_sat_g_up_to_date() {
- reset(SAT_G_UP_TO_DATE);
-}
-
-inline void
-Grid::Status::set_sat_g_up_to_date() {
- set(SAT_G_UP_TO_DATE);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Status_inlines_hh)
diff --git a/src/Grid_Status_idefs.hh b/src/Grid_Status_idefs.hh
new file mode 100644
index 0000000..cb4ea19
--- /dev/null
+++ b/src/Grid_Status_idefs.hh
@@ -0,0 +1,168 @@
+/* Grid::Status class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Status_idefs_hh
+#define PPL_Grid_Status_idefs_hh 1
+
+#ifndef PPL_IN_Grid_CLASS
+#error "Do not include Grid_Status_idefs.hh directly; use Grid_defs.hh instead"
+#endif
+
+//! A conjunctive assertion about a grid.
+/*!
+ The assertions supported that are in use are:
+ - <EM>zero-dim universe</EM>: the grid is the zero-dimension
+ vector space \f$\Rset^0 = \{\cdot\}\f$;
+ - <EM>empty</EM>: the grid is the empty set;
+ - <EM>congruences up-to-date</EM>: the grid is correctly
+ characterized by the attached system of congruences, modulo the
+ processing of pending generators;
+ - <EM>generators up-to-date</EM>: the grid is correctly
+ characterized by the attached system of generators, modulo the
+ processing of pending congruences;
+ - <EM>congruences minimized</EM>: the non-pending part of the system
+ of congruences attached to the grid is in minimal form;
+ - <EM>generators minimized</EM>: the non-pending part of the system
+ of generators attached to the grid is in minimal form.
+
+ Other supported assertions are:
+ - <EM>congruences pending</EM>
+ - <EM>generators pending</EM>
+ - <EM>congruences' saturation matrix up-to-date</EM>
+ - <EM>generators' saturation matrix up-to-date</EM>.
+
+ Not all the conjunctions of these elementary assertions constitute
+ a legal Status. In fact:
+ - <EM>zero-dim universe</EM> excludes any other assertion;
+ - <EM>empty</EM>: excludes any other assertion;
+ - <EM>congruences pending</EM> and <EM>generators pending</EM>
+ are mutually exclusive;
+ - <EM>congruences pending</EM> implies both <EM>congruences minimized</EM>
+ and <EM>generators minimized</EM>;
+ - <EM>generators pending</EM> implies both <EM>congruences minimized</EM>
+ and <EM>generators minimized</EM>;
+ - <EM>congruences minimized</EM> implies <EM>congruences up-to-date</EM>;
+ - <EM>generators minimized</EM> implies <EM>generators up-to-date</EM>;
+ - <EM>congruences' saturation matrix up-to-date</EM> implies both
+ <EM>congruences up-to-date</EM> and <EM>generators up-to-date</EM>;
+ - <EM>generators' saturation matrix up-to-date</EM> implies both
+ <EM>congruences up-to-date</EM> and <EM>generators up-to-date</EM>.
+*/
+class Status {
+public:
+ //! By default Status is the <EM>zero-dim universe</EM> assertion.
+ Status();
+
+ //! \name Test, remove or add an individual assertion from the conjunction
+ //@{
+ bool test_zero_dim_univ() const;
+ void reset_zero_dim_univ();
+ void set_zero_dim_univ();
+
+ bool test_empty() const;
+ void reset_empty();
+ void set_empty();
+
+ bool test_c_up_to_date() const;
+ void reset_c_up_to_date();
+ void set_c_up_to_date();
+
+ bool test_g_up_to_date() const;
+ void reset_g_up_to_date();
+ void set_g_up_to_date();
+
+ bool test_c_minimized() const;
+ void reset_c_minimized();
+ void set_c_minimized();
+
+ bool test_g_minimized() const;
+ void reset_g_minimized();
+ void set_g_minimized();
+
+ bool test_sat_c_up_to_date() const;
+ void reset_sat_c_up_to_date();
+ void set_sat_c_up_to_date();
+
+ bool test_sat_g_up_to_date() const;
+ void reset_sat_g_up_to_date();
+ void set_sat_g_up_to_date();
+
+ bool test_c_pending() const;
+ void reset_c_pending();
+ void set_c_pending();
+
+ bool test_g_pending() const;
+ void reset_g_pending();
+ void set_g_pending();
+ //@} // Test, remove or add an individual assertion from the conjunction
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+private:
+ //! Status is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bitmasks for the individual assertions
+ //@{
+ static const flags_t ZERO_DIM_UNIV = 0U;
+ static const flags_t EMPTY = 1U << 0;
+ static const flags_t C_UP_TO_DATE = 1U << 1;
+ static const flags_t G_UP_TO_DATE = 1U << 2;
+ static const flags_t C_MINIMIZED = 1U << 3;
+ static const flags_t G_MINIMIZED = 1U << 4;
+ static const flags_t SAT_C_UP_TO_DATE = 1U << 5;
+ static const flags_t SAT_G_UP_TO_DATE = 1U << 6;
+ static const flags_t CS_PENDING = 1U << 7;
+ static const flags_t GS_PENDING = 1U << 8;
+ //@} // Bitmasks for the individual assertions
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! Construct from a bitmask.
+ Status(flags_t mask);
+
+ //! Check whether <EM>all</EM> bits in \p mask are set.
+ bool test_all(flags_t mask) const;
+
+ //! Check whether <EM>at least one</EM> bit in \p mask is set.
+ bool test_any(flags_t mask) const;
+
+ //! Set the bits in \p mask.
+ void set(flags_t mask);
+
+ //! Reset the bits in \p mask.
+ void reset(flags_t mask);
+};
+
+#endif // !defined(PPL_Grid_Status_idefs_hh)
diff --git a/src/Grid_Status_inlines.hh b/src/Grid_Status_inlines.hh
new file mode 100644
index 0000000..0b031ae
--- /dev/null
+++ b/src/Grid_Status_inlines.hh
@@ -0,0 +1,217 @@
+/* Grid::Status class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_Status_inlines_hh
+#define PPL_Grid_Status_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Grid::Status::Status(flags_t mask)
+ : flags(mask) {
+}
+
+inline
+Grid::Status::Status()
+ : flags(ZERO_DIM_UNIV) {
+}
+
+inline bool
+Grid::Status::test_all(flags_t mask) const {
+ return (flags & mask) == mask;
+}
+
+inline bool
+Grid::Status::test_any(flags_t mask) const {
+ return (flags & mask) != 0;
+}
+
+inline void
+Grid::Status::set(flags_t mask) {
+ flags |= mask;
+}
+
+inline void
+Grid::Status::reset(flags_t mask) {
+ flags &= ~mask;
+}
+
+inline bool
+Grid::Status::test_zero_dim_univ() const {
+ return flags == ZERO_DIM_UNIV;
+}
+
+inline void
+Grid::Status::reset_zero_dim_univ() {
+ // This is a no-op if the current status is not zero-dim.
+ if (flags == ZERO_DIM_UNIV)
+ // In the zero-dim space, if it is not the universe it is empty.
+ flags = EMPTY;
+}
+
+inline void
+Grid::Status::set_zero_dim_univ() {
+ // Zero-dim universe is incompatible with anything else.
+ flags = ZERO_DIM_UNIV;
+}
+
+inline bool
+Grid::Status::test_empty() const {
+ return test_any(EMPTY);
+}
+
+inline void
+Grid::Status::reset_empty() {
+ reset(EMPTY);
+}
+
+inline void
+Grid::Status::set_empty() {
+ flags = EMPTY;
+}
+
+inline bool
+Grid::Status::test_c_up_to_date() const {
+ return test_any(C_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::reset_c_up_to_date() {
+ reset(C_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::set_c_up_to_date() {
+ set(C_UP_TO_DATE);
+}
+
+inline bool
+Grid::Status::test_g_up_to_date() const {
+ return test_any(G_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::reset_g_up_to_date() {
+ reset(G_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::set_g_up_to_date() {
+ set(G_UP_TO_DATE);
+}
+
+inline bool
+Grid::Status::test_c_minimized() const {
+ return test_any(C_MINIMIZED);
+}
+
+inline void
+Grid::Status::reset_c_minimized() {
+ reset(C_MINIMIZED);
+}
+
+inline void
+Grid::Status::set_c_minimized() {
+ set(C_MINIMIZED);
+}
+
+inline bool
+Grid::Status::test_g_minimized() const {
+ return test_any(G_MINIMIZED);
+}
+
+inline void
+Grid::Status::reset_g_minimized() {
+ reset(G_MINIMIZED);
+}
+
+inline void
+Grid::Status::set_g_minimized() {
+ set(G_MINIMIZED);
+}
+
+
+inline bool
+Grid::Status::test_c_pending() const {
+ return test_any(CS_PENDING);
+}
+
+inline void
+Grid::Status::reset_c_pending() {
+ reset(CS_PENDING);
+}
+
+inline void
+Grid::Status::set_c_pending() {
+ set(CS_PENDING);
+}
+
+inline bool
+Grid::Status::test_g_pending() const {
+ return test_any(GS_PENDING);
+}
+
+inline void
+Grid::Status::reset_g_pending() {
+ reset(GS_PENDING);
+}
+
+inline void
+Grid::Status::set_g_pending() {
+ set(GS_PENDING);
+}
+
+
+inline bool
+Grid::Status::test_sat_c_up_to_date() const {
+ return test_any(SAT_C_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::reset_sat_c_up_to_date() {
+ reset(SAT_C_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::set_sat_c_up_to_date() {
+ set(SAT_C_UP_TO_DATE);
+}
+
+inline bool
+Grid::Status::test_sat_g_up_to_date() const {
+ return test_any(SAT_G_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::reset_sat_g_up_to_date() {
+ reset(SAT_G_UP_TO_DATE);
+}
+
+inline void
+Grid::Status::set_sat_g_up_to_date() {
+ set(SAT_G_UP_TO_DATE);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Status_inlines_hh)
diff --git a/src/Grid_chdims.cc b/src/Grid_chdims.cc
index 0abdab0..6147549 100644
--- a/src/Grid_chdims.cc
+++ b/src/Grid_chdims.cc
@@ -1,7 +1,7 @@
/* Grid class implementation
(non-inline operators that may change the dimension of the vector space).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,8 +23,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid.defs.hh"
-#include "Variables_Set.defs.hh"
+#include "Grid_defs.hh"
+#include "Variables_Set_defs.hh"
#include "assert.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -32,8 +32,8 @@ namespace PPL = Parma_Polyhedra_Library;
// Used for add_space_dimensions_and_embed.
void
PPL::Grid::add_space_dimensions(Congruence_System& cgs,
- Grid_Generator_System& gs,
- const dimension_type dims) {
+ Grid_Generator_System& gs,
+ const dimension_type dims) {
PPL_ASSERT(cgs.space_dimension() == gs.space_dimension());
PPL_ASSERT(dims > 0);
@@ -49,8 +49,8 @@ PPL::Grid::add_space_dimensions(Congruence_System& cgs,
// Used for add_space_dimensions_and_project.
void
PPL::Grid::add_space_dimensions(Grid_Generator_System& gs,
- Congruence_System& cgs,
- const dimension_type dims) {
+ Congruence_System& cgs,
+ const dimension_type dims) {
PPL_ASSERT(cgs.space_dimension() == gs.space_dimension());
PPL_ASSERT(dims > 0);
@@ -119,7 +119,7 @@ PPL::Grid::add_space_dimensions_and_embed(dimension_type m) {
// Only congruences are up-to-date, so modify only them.
con_sys.set_space_dimension(con_sys.space_dimension() + m);
if (congruences_are_minimized())
- dim_kinds.resize(con_sys.space_dimension() + 1, CON_VIRTUAL);
+ dim_kinds.resize(con_sys.space_dimension() + 1, CON_VIRTUAL);
}
else {
// Only generators are up-to-date, so modify only them.
@@ -188,7 +188,7 @@ PPL::Grid::add_space_dimensions_and_project(dimension_type m) {
// Only congruences are up-to-date so modify only them.
con_sys.add_unit_rows_and_space_dimensions(m);
if (congruences_are_minimized())
- dim_kinds.resize(con_sys.space_dimension() + 1, EQUALITY);
+ dim_kinds.resize(con_sys.space_dimension() + 1, EQUALITY);
}
else {
// Only generators are up-to-date so modify only them.
@@ -305,7 +305,7 @@ PPL::Grid::remove_higher_space_dimensions(const dimension_type new_dimension) {
// Dimension-compatibility check.
if (new_dimension > space_dim)
throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
- new_dimension);
+ new_dimension);
// The removal of no dimensions from any grid is a no-op.
// Note that this case also captures the only legal removal of
@@ -339,13 +339,13 @@ PPL::Grid::remove_higher_space_dimensions(const dimension_type new_dimension) {
dimension_type num_redundant = 0;
const dimension_type num_old_gs = space_dim - new_dimension;
for (dimension_type row = 0; row < num_old_gs; ++row) {
- if (dim_kinds[row] != GEN_VIRTUAL)
+ if (dim_kinds[row] != GEN_VIRTUAL)
++num_redundant;
}
if (num_redundant > 0) {
- // Chop zero rows from end of system, to keep minimal form.
- gen_sys.remove_trailing_rows(num_redundant);
- gen_sys.unset_pending_rows();
+ // Chop zero rows from end of system, to keep minimal form.
+ gen_sys.remove_trailing_rows(num_redundant);
+ gen_sys.unset_pending_rows();
}
dim_kinds.resize(new_dimension + 1);
// TODO: Consider if it is worth also preserving the congruences
@@ -404,7 +404,7 @@ PPL::Grid::expand_space_dimension(Variable var, dimension_type m) {
"the maximum allowed space dimension");
// Save the number of dimensions before adding new ones.
- dimension_type old_dim = space_dim;
+ const dimension_type old_dim = space_dim;
// Add the required new dimensions.
add_space_dimensions_and_embed(m);
@@ -412,7 +412,7 @@ PPL::Grid::expand_space_dimension(Variable var, dimension_type m) {
const Congruence_System& cgs = congruences();
Congruence_System new_congruences;
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i) {
+ cgs_end = cgs.end(); i != cgs_end; ++i) {
const Congruence& cg = *i;
Coefficient_traits::const_reference coeff = cg.coefficient(var);
@@ -450,13 +450,13 @@ PPL::Grid::fold_space_dimensions(const Variables_Set& vars, Variable dest) {
// All variables in `vars' must be dimensions of the grid.
if (vars.space_dimension() > space_dim)
throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- "vs.space_dimension()",
- vars.space_dimension());
+ "vs.space_dimension()",
+ vars.space_dimension());
// Moreover, `dest.id()' must not occur in `vars'.
if (vars.find(dest.id()) != vars.end())
throw_invalid_argument("fold_space_dimensions(vs, v)",
- "v should not occur in vs");
+ "v should not occur in vs");
// All of the affine images we are going to compute are not invertible,
// hence we will need to compute the grid generators of the polyhedron.
// Since we keep taking copies, make sure that a single conversion
diff --git a/src/Grid_conversion.cc b/src/Grid_conversion.cc
index 4723bac..90e2449 100644
--- a/src/Grid_conversion.cc
+++ b/src/Grid_conversion.cc
@@ -1,6 +1,6 @@
/* Grid class implementation: conversion().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid.defs.hh"
+#include "Grid_defs.hh"
#include <cstddef>
namespace Parma_Polyhedra_Library {
@@ -35,7 +35,7 @@ namespace Parma_Polyhedra_Library {
// Where X is greater than zero and x is an integer.
bool
Grid::lower_triangular(const Congruence_System& sys,
- const Dimension_Kinds& dim_kinds) {
+ const Dimension_Kinds& dim_kinds) {
const dimension_type num_columns = sys.space_dimension() + 1;
// Check for easy square failure case.
@@ -69,7 +69,7 @@ Grid::lower_triangular(const Congruence_System& sys,
// Where X is greater than zero and x is an integer.
bool
Grid::upper_triangular(const Grid_Generator_System& sys,
- const Dimension_Kinds& dim_kinds) {
+ const Dimension_Kinds& dim_kinds) {
dimension_type num_columns = sys.space_dimension() + 1;
dimension_type row = sys.num_rows();
@@ -97,7 +97,7 @@ Grid::upper_triangular(const Grid_Generator_System& sys,
void
Grid::multiply_grid(const Coefficient& multiplier, Grid_Generator& gen,
- Swapping_Vector<Grid_Generator>& dest_rows,
+ Swapping_Vector<Grid_Generator>& dest_rows,
const dimension_type num_rows) {
if (multiplier == 1)
return;
@@ -105,7 +105,8 @@ Grid::multiply_grid(const Coefficient& multiplier, Grid_Generator& gen,
if (gen.is_line()) {
// Multiply every element of the line.
gen.expr *= multiplier;
- } else {
+ }
+ else {
PPL_ASSERT(gen.is_parameter_or_point());
// Multiply every element of every parameter.
@@ -119,7 +120,7 @@ Grid::multiply_grid(const Coefficient& multiplier, Grid_Generator& gen,
void
Grid::multiply_grid(const Coefficient& multiplier, Congruence& cg,
- Swapping_Vector<Congruence>& dest,
+ Swapping_Vector<Congruence>& dest,
const dimension_type num_rows) {
if (multiplier == 1)
return;
@@ -131,7 +132,8 @@ Grid::multiply_grid(const Coefficient& multiplier, Congruence& cg,
if (congruence.is_proper_congruence())
congruence.scale(multiplier);
}
- } else {
+ }
+ else {
PPL_ASSERT(cg.is_equality());
// Multiply every element of the equality.
cg.scale(multiplier);
@@ -144,7 +146,7 @@ Grid::multiply_grid(const Coefficient& multiplier, Congruence& cg,
void
Grid::conversion(Grid_Generator_System& source, Congruence_System& dest,
- Dimension_Kinds& dim_kinds) {
+ Dimension_Kinds& dim_kinds) {
// Quite similar to the congruence to generator version below.
// Changes here may be needed there too.
@@ -168,12 +170,12 @@ Grid::conversion(Grid_Generator_System& source, Congruence_System& dest,
else {
--source_index;
if (dim_kinds[dim] == PARAMETER) {
- // Dimension `dim' has a parameter row at `source_index' in
- // `source', so include in `diagonal_lcm' the `dim'th element
- // of that row.
- lcm_assign(diagonal_lcm, diagonal_lcm, source[source_index].expr.get(dim));
- // Parameters map to proper congruences.
- ++dest_num_rows;
+ // Dimension `dim' has a parameter row at `source_index' in
+ // `source', so include in `diagonal_lcm' the `dim'th element
+ // of that row.
+ lcm_assign(diagonal_lcm, diagonal_lcm, source[source_index].expr.get(dim));
+ // Parameters map to proper congruences.
+ ++dest_num_rows;
}
// Lines map to virtual congruences.
}
@@ -200,11 +202,12 @@ Grid::conversion(Grid_Generator_System& source, Congruence_System& dest,
le.set(dim, Coefficient_one());
Congruence cg(le, Coefficient_zero(), Recycle_Input());
dest.insert_verbatim(cg, Recycle_Input());
- } else {
- PPL_ASSERT(dim_kinds[dim] == PARAMETER);
- --source_index;
+ }
+ else {
+ PPL_ASSERT(dim_kinds[dim] == PARAMETER);
+ --source_index;
PPL_DIRTY_TEMP_COEFFICIENT(tmp);
- exact_div_assign(tmp, diagonal_lcm,
+ exact_div_assign(tmp, diagonal_lcm,
source[source_index].expr.get(dim));
le.set(dim, tmp);
Congruence cg(le, Coefficient_one(), Recycle_Input());
@@ -235,14 +238,14 @@ Grid::conversion(Grid_Generator_System& source, Congruence_System& dest,
// In the rows in `dest' above `dest_index' divide each element
// at column `dim' by `source_dim'.
for (dimension_type row = dest_index; row-- > 0; ) {
- Congruence& cg = dest.rows[row];
+ Congruence& cg = dest.rows[row];
- // Multiply the representation of `dest' such that entry `dim'
+ // Multiply the representation of `dest' such that entry `dim'
// of `g' is a multiple of `source_dim'. This ensures that
// the result of the division that follows is a whole number.
- gcd_assign(multiplier, cg.expression().get(dim), source_dim);
- exact_div_assign(multiplier, source_dim, multiplier);
- multiply_grid(multiplier, cg, dest.rows, dest_num_rows);
+ gcd_assign(multiplier, cg.expression().get(dim), source_dim);
+ exact_div_assign(multiplier, source_dim, multiplier);
+ multiply_grid(multiplier, cg, dest.rows, dest_num_rows);
cg.expr.exact_div_assign(source_dim, dim, dim + 1);
}
@@ -259,25 +262,25 @@ Grid::conversion(Grid_Generator_System& source, Congruence_System& dest,
++dest_index;
for (dimension_type dim_prec = dim; dim_prec-- > 0; ) {
if (dim_kinds[dim_prec] != GEN_VIRTUAL) {
- --tmp_source_index;
- const Coefficient& source_dim = source[tmp_source_index].expr.get(dim);
+ --tmp_source_index;
+ const Coefficient& source_dim = source[tmp_source_index].expr.get(dim);
- // In order to compute the transpose of the inverse of
- // `source', subtract source[tmp_source_index][dim] times the
- // column vector in `dest' at `dim' from the column vector in
- // `dest' at `dim_prec'.
- //
- // I.e., for each row `dest_index' in `dest' that is above the
- // row `dest_index', subtract dest[tmp_source_index][dim]
- // times the entry `dim' from the entry at `dim_prec'.
+ // In order to compute the transpose of the inverse of
+ // `source', subtract source[tmp_source_index][dim] times the
+ // column vector in `dest' at `dim' from the column vector in
+ // `dest' at `dim_prec'.
+ //
+ // I.e., for each row `dest_index' in `dest' that is above the
+ // row `dest_index', subtract dest[tmp_source_index][dim]
+ // times the entry `dim' from the entry at `dim_prec'.
PPL_DIRTY_TEMP_COEFFICIENT(tmp);
- for (dimension_type row = dest_index; row-- > 0; ) {
- PPL_ASSERT(row < dest_num_rows);
- Congruence& cg = dest.rows[row];
+ for (dimension_type row = dest_index; row-- > 0; ) {
+ PPL_ASSERT(row < dest_num_rows);
+ Congruence& cg = dest.rows[row];
tmp = cg.expr.get(dim_prec);
- sub_mul_assign(tmp, source_dim, cg.expression().get(dim));
+ sub_mul_assign(tmp, source_dim, cg.expression().get(dim));
cg.expr.set(dim_prec, tmp);
- }
+ }
}
}
}
@@ -312,7 +315,7 @@ Grid::conversion(Grid_Generator_System& source, Congruence_System& dest,
void
Grid::conversion(Congruence_System& source, Grid_Generator_System& dest,
- Dimension_Kinds& dim_kinds) {
+ Dimension_Kinds& dim_kinds) {
// Quite similar to the generator to congruence version above.
// Changes here may be needed there too.
@@ -320,22 +323,23 @@ Grid::conversion(Congruence_System& source, Grid_Generator_System& dest,
// Initialize matrix row number counters and compute the LCM of the
// diagonal entries of the proper congruences in `source'.
- dimension_type source_num_rows = 0, dest_num_rows = 0;
+ dimension_type source_num_rows = 0;
+ dimension_type dest_num_rows = 0;
PPL_DIRTY_TEMP_COEFFICIENT(diagonal_lcm);
diagonal_lcm = 1;
- dimension_type dims = source.space_dimension() + 1;
+ const dimension_type dims = source.space_dimension() + 1;
for (dimension_type dim = dims; dim-- > 0; )
if (dim_kinds[dim] == CON_VIRTUAL)
// Virtual congruences map to lines.
++dest_num_rows;
else {
if (dim_kinds[dim] == PROPER_CONGRUENCE) {
- // Dimension `dim' has a proper congruence row at
- // `source_num_rows' in `source', so include in `diagonal_lcm'
- // the `dim'th element of that row.
- lcm_assign(diagonal_lcm, diagonal_lcm, source[source_num_rows].expr.get(dim));
- // Proper congruences map to parameters.
- ++dest_num_rows;
+ // Dimension `dim' has a proper congruence row at
+ // `source_num_rows' in `source', so include in `diagonal_lcm'
+ // the `dim'th element of that row.
+ lcm_assign(diagonal_lcm, diagonal_lcm, source[source_num_rows].expr.get(dim));
+ // Proper congruences map to parameters.
+ ++dest_num_rows;
}
// Equalities map to virtual generators.
++source_num_rows;
@@ -366,16 +370,16 @@ Grid::conversion(Congruence_System& source, Grid_Generator_System& dest,
g.expr.set_space_dimension(dims);
if (dim_kinds[dim] == CON_VIRTUAL) {
- g.set_is_line();
+ g.set_is_line();
g.expr.set(0, Coefficient_zero());
g.expr.set(dim, Coefficient_one());
}
else {
- PPL_ASSERT(dim_kinds[dim] == PROPER_CONGRUENCE);
- g.set_is_parameter_or_point();
+ PPL_ASSERT(dim_kinds[dim] == PROPER_CONGRUENCE);
+ g.set_is_parameter_or_point();
--source_index;
PPL_DIRTY_TEMP_COEFFICIENT(tmp);
- exact_div_assign(tmp, diagonal_lcm,
+ exact_div_assign(tmp, diagonal_lcm,
source[source_index].expr.get(dim));
g.expr.set(0, Coefficient_zero());
g.expr.set(dim, tmp);
@@ -413,12 +417,12 @@ Grid::conversion(Congruence_System& source, Grid_Generator_System& dest,
for (dimension_type i = dest_index; i-- > 0; ) {
Grid_Generator& g = dest.sys.rows[i];
- // Multiply the representation of `dest' such that entry `dim'
+ // Multiply the representation of `dest' such that entry `dim'
// of `g' is a multiple of `source_dim'. This ensures that
// the result of the division that follows is a whole number.
- gcd_assign(reduced_source_dim, g.expr.get(dim), source_dim);
- exact_div_assign(reduced_source_dim, source_dim, reduced_source_dim);
- multiply_grid(reduced_source_dim, g, dest.sys.rows, dest_num_rows);
+ gcd_assign(reduced_source_dim, g.expr.get(dim), source_dim);
+ exact_div_assign(reduced_source_dim, source_dim, reduced_source_dim);
+ multiply_grid(reduced_source_dim, g, dest.sys.rows, dest_num_rows);
g.expr.exact_div_assign(source_dim, dim, dim + 1);
// Don't assert g.OK() here, because it may fail.
@@ -437,29 +441,29 @@ Grid::conversion(Congruence_System& source, Grid_Generator_System& dest,
++dest_index;
for (dimension_type dim_fol = dim + 1; dim_fol < dims; ++dim_fol) {
if (dim_kinds[dim_fol] != CON_VIRTUAL) {
- --tmp_source_index;
- Coefficient_traits::const_reference source_dim
+ --tmp_source_index;
+ Coefficient_traits::const_reference source_dim
= source[tmp_source_index].expr.get(dim);
- // In order to compute the transpose of the inverse of
- // `source', subtract source[tmp_source_index][dim] times the
- // column vector in `dest' at `dim' from the column vector in
- // `dest' at `dim_fol'.
- //
- // I.e., for each row `dest_index' in `dest' that is above the
- // row `dest_index', subtract dest[tmp_source_index][dim]
- // times the entry `dim' from the entry at `dim_fol'.
+ // In order to compute the transpose of the inverse of
+ // `source', subtract source[tmp_source_index][dim] times the
+ // column vector in `dest' at `dim' from the column vector in
+ // `dest' at `dim_fol'.
+ //
+ // I.e., for each row `dest_index' in `dest' that is above the
+ // row `dest_index', subtract dest[tmp_source_index][dim]
+ // times the entry `dim' from the entry at `dim_fol'.
PPL_DIRTY_TEMP_COEFFICIENT(tmp);
for (dimension_type i = dest_index; i-- > 0; ) {
- PPL_ASSERT(i < dest_num_rows);
+ PPL_ASSERT(i < dest_num_rows);
Grid_Generator& row = dest.sys.rows[i];
tmp = row.expr.get(dim_fol);
- sub_mul_assign(tmp, source_dim,
+ sub_mul_assign(tmp, source_dim,
row.expr.get(dim));
row.expr.set(dim_fol, tmp);
// Don't assert row.OK() here, because it may fail.
// All the rows in `dest' are checked at the end of this function.
- }
+ }
}
}
}
@@ -473,7 +477,7 @@ Grid::conversion(Congruence_System& source, Grid_Generator_System& dest,
if (dim_kinds[dim] != GEN_VIRTUAL)
// Factor the "diagonal" generator out of the preceding rows.
reduce_reduced<Grid_Generator_System>
- (dest.sys.rows, dim, i++, dim, dims - 1, dim_kinds);
+ (dest.sys.rows, dim, i++, dim, dims - 1, dim_kinds);
}
// Ensure that the parameter divisors are the same as the divisor of
diff --git a/src/Grid_defs.hh b/src/Grid_defs.hh
new file mode 100644
index 0000000..9aaf374
--- /dev/null
+++ b/src/Grid_defs.hh
@@ -0,0 +1,2665 @@
+/* Grid class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_defs_hh
+#define PPL_Grid_defs_hh 1
+
+#include "Grid_types.hh"
+#include "globals_defs.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_types.hh"
+#include "Linear_Expression_defs.hh"
+#include "Constraint_types.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
+#include "Grid_Generator_System_defs.hh"
+#include "Grid_Generator_System_inlines.hh"
+#include "Grid_Generator_types.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "Grid_Certificate_types.hh"
+#include "Box_types.hh"
+#include "Polyhedron_types.hh"
+#include "BD_Shape_types.hh"
+#include "Octagonal_Shape_types.hh"
+#include <vector>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Grid
+ Writes a textual representation of \p gr on \p s: <CODE>false</CODE>
+ is written if \p gr is an empty grid; <CODE>true</CODE> is written
+ if \p gr is a universe grid; a minimized system of congruences
+ defining \p gr is written otherwise, all congruences in one row
+ separated by ", "s.
+*/
+std::ostream&
+operator<<(std::ostream& s, const Grid& gr);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Grid */
+void swap(Grid& x, Grid& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x and \p y are the same
+ grid.
+
+ \relates Grid
+ Note that \p x and \p y may be dimension-incompatible grids: in
+ those cases, the value <CODE>false</CODE> is returned.
+*/
+bool operator==(const Grid& x, const Grid& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x and \p y are different
+ grids.
+
+ \relates Grid
+ Note that \p x and \p y may be dimension-incompatible grids: in
+ those cases, the value <CODE>true</CODE> is returned.
+*/
+bool operator!=(const Grid& x, const Grid& y);
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! A grid.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Grid represents a rational grid.
+
+ The domain of grids <EM>optimally supports</EM>:
+ - all (proper and non-proper) congruences;
+ - tautological and inconsistent constraints;
+ - linear equality constraints (i.e., non-proper congruences).
+
+ Depending on the method, using a constraint that is not optimally
+ supported by the domain will either raise an exception or
+ result in a (possibly non-optimal) upward approximation.
+
+ The domain of grids support a concept of double description similar
+ to the one developed for polyhedra: hence, a grid can be specified
+ as either a finite system of congruences or a finite system of
+ generators (see Section \ref sect_rational_grids) and it is always
+ possible to obtain either representation.
+ That is, if we know the system of congruences, we can obtain
+ from this a system of generators that define the same grid
+ and vice versa.
+ These systems can contain redundant members, or they can be in the
+ minimal form.
+
+ A key attribute of any grid is its space dimension (the dimension
+ \f$n \in \Nset\f$ of the enclosing vector space):
+
+ - all grids, the empty ones included, are endowed with a space
+ dimension;
+ - most operations working on a grid and another object (another
+ grid, a congruence, a generator, a set of variables, etc.) will
+ throw an exception if the grid and the object are not
+ dimension-compatible (see Section \ref Grid_Space_Dimensions);
+ - the only ways in which the space dimension of a grid can be
+ changed are with <EM>explicit</EM> calls to operators provided for
+ that purpose, and with standard copy, assignment and swap
+ operators.
+
+ Note that two different grids can be defined on the zero-dimension
+ space: the empty grid and the universe grid \f$R^0\f$.
+
+ \par
+ In all the examples it is assumed that variables
+ <CODE>x</CODE> and <CODE>y</CODE> are defined (where they are
+ used) as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code builds a grid corresponding to the even integer
+ pairs in \f$\Rset^2\f$, given as a system of congruences:
+ \code
+ Congruence_System cgs;
+ cgs.insert((x %= 0) / 2);
+ cgs.insert((y %= 0) / 2);
+ Grid gr(cgs);
+ \endcode
+ The following code builds the same grid as above, but starting
+ from a system of generators specifying three of the points:
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(0*x + 0*y));
+ gs.insert(grid_point(0*x + 2*y));
+ gs.insert(grid_point(2*x + 0*y));
+ Grid gr(gs);
+ \endcode
+
+ \par Example 2
+ The following code builds a grid corresponding to a line in
+ \f$\Rset^2\f$ by adding a single congruence to the universe grid:
+ \code
+ Congruence_System cgs;
+ cgs.insert(x - y == 0);
+ Grid gr(cgs);
+ \endcode
+ The following code builds the same grid as above, but starting
+ from a system of generators specifying a point and a line:
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(0*x + 0*y));
+ gs.insert(grid_line(x + y));
+ Grid gr(gs);
+ \endcode
+
+ \par Example 3
+ The following code builds a grid corresponding to the integral
+ points on the line \f$x = y\f$ in \f$\Rset^2\f$ constructed
+ by adding an equality and congruence to the universe grid:
+ \code
+ Congruence_System cgs;
+ cgs.insert(x - y == 0);
+ cgs.insert(x %= 0);
+ Grid gr(cgs);
+ \endcode
+ The following code builds the same grid as above, but starting
+ from a system of generators specifying a point and a parameter:
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(0*x + 0*y));
+ gs.insert(parameter(x + y));
+ Grid gr(gs);
+ \endcode
+
+ \par Example 4
+ The following code builds the grid corresponding to a plane by
+ creating the universe grid in \f$\Rset^2\f$:
+ \code
+ Grid gr(2);
+ \endcode
+ The following code builds the same grid as above, but starting
+ from the empty grid in \f$\Rset^2\f$ and inserting the appropriate
+ generators (a point, and two lines).
+ \code
+ Grid gr(2, EMPTY);
+ gr.add_grid_generator(grid_point(0*x + 0*y));
+ gr.add_grid_generator(grid_line(x));
+ gr.add_grid_generator(grid_line(y));
+ \endcode
+ Note that a generator system must contain a point when describing
+ a grid. To ensure that this is always the case it is required
+ that the first generator inserted in an empty grid is a point
+ (otherwise, an exception is thrown).
+
+ \par Example 5
+ The following code shows the use of the function
+ <CODE>add_space_dimensions_and_embed</CODE>:
+ \code
+ Grid gr(1);
+ gr.add_congruence(x == 2);
+ gr.add_space_dimensions_and_embed(1);
+ \endcode
+ We build the universe grid in the 1-dimension space \f$\Rset\f$.
+ Then we add a single equality congruence,
+ thus obtaining the grid corresponding to the singleton set
+ \f$\{ 2 \} \sseq \Rset\f$.
+ After the last line of code, the resulting grid is
+ \f[
+ \bigl\{\,
+ (2, y)^\transpose \in \Rset^2
+ \bigm|
+ y \in \Rset
+ \,\bigr\}.
+ \f]
+
+ \par Example 6
+ The following code shows the use of the function
+ <CODE>add_space_dimensions_and_project</CODE>:
+ \code
+ Grid gr(1);
+ gr.add_congruence(x == 2);
+ gr.add_space_dimensions_and_project(1);
+ \endcode
+ The first two lines of code are the same as in Example 4 for
+ <CODE>add_space_dimensions_and_embed</CODE>.
+ After the last line of code, the resulting grid is
+ the singleton set
+ \f$\bigl\{ (2, 0)^\transpose \bigr\} \sseq \Rset^2\f$.
+
+ \par Example 7
+ The following code shows the use of the function
+ <CODE>affine_image</CODE>:
+ \code
+ Grid gr(2, EMPTY);
+ gr.add_grid_generator(grid_point(0*x + 0*y));
+ gr.add_grid_generator(grid_point(4*x + 0*y));
+ gr.add_grid_generator(grid_point(0*x + 2*y));
+ Linear_Expression expr = x + 3;
+ gr.affine_image(x, expr);
+ \endcode
+ In this example the starting grid is all the pairs of \f$x\f$ and
+ \f$y\f$ in \f$\Rset^2\f$ where \f$x\f$ is an integer multiple of 4
+ and \f$y\f$ is an integer multiple of 2. The considered variable
+ is \f$x\f$ and the affine expression is \f$x+3\f$. The resulting
+ grid is the given grid translated 3 integers to the right (all the
+ pairs \f$(x, y)\f$ where \f$x\f$ is -1 plus an integer multiple of 4
+ and \f$y\f$ is an integer multiple of 2).
+ Moreover, if the affine transformation for the same variable \p x
+ is instead \f$x+y\f$:
+ \code
+ Linear_Expression expr = x + y;
+ \endcode
+ the resulting grid is every second integral point along the \f$x=y\f$
+ line, with this line of points repeated at every fourth integral value
+ along the \f$x\f$ axis.
+ Instead, if we do not use an invertible transformation for the
+ same variable; for example, the affine expression \f$y\f$:
+ \code
+ Linear_Expression expr = y;
+ \endcode
+ the resulting grid is every second point along the \f$x=y\f$ line.
+
+ \par Example 8
+ The following code shows the use of the function
+ <CODE>affine_preimage</CODE>:
+ \code
+ Grid gr(2, EMPTY);
+ gr.add_grid_generator(grid_point(0*x + 0*y));
+ gr.add_grid_generator(grid_point(4*x + 0*y));
+ gr.add_grid_generator(grid_point(0*x + 2*y));
+ Linear_Expression expr = x + 3;
+ gr.affine_preimage(x, expr);
+ \endcode
+ In this example the starting grid, \p var and the affine
+ expression and the denominator are the same as in Example 6, while
+ the resulting grid is similar but translated 3 integers to the
+ left (all the pairs \f$(x, y)\f$
+ where \f$x\f$ is -3 plus an integer multiple of 4 and
+ \f$y\f$ is an integer multiple of 2)..
+ Moreover, if the affine transformation for \p x is \f$x+y\f$
+ \code
+ Linear_Expression expr = x + y;
+ \endcode
+ the resulting grid is a similar grid to the result in Example 6,
+ only the grid is slanted along \f$x=-y\f$.
+ Instead, if we do not use an invertible transformation for the same
+ variable \p x, for example, the affine expression \f$y\f$:
+ \code
+ Linear_Expression expr = y;
+ \endcode
+ the resulting grid is every fourth line parallel to the \f$x\f$
+ axis.
+
+ \par Example 9
+ For this example we also use the variables:
+ \code
+ Variable z(2);
+ Variable w(3);
+ \endcode
+ The following code shows the use of the function
+ <CODE>remove_space_dimensions</CODE>:
+ \code
+ Grid_Generator_System gs;
+ gs.insert(grid_point(3*x + y +0*z + 2*w));
+ Grid gr(gs);
+ Variables_Set vars;
+ vars.insert(y);
+ vars.insert(z);
+ gr.remove_space_dimensions(vars);
+ \endcode
+ The starting grid is the singleton set
+ \f$\bigl\{ (3, 1, 0, 2)^\transpose \bigr\} \sseq \Rset^4\f$, while
+ the resulting grid is
+ \f$\bigl\{ (3, 2)^\transpose \bigr\} \sseq \Rset^2\f$.
+ Be careful when removing space dimensions <EM>incrementally</EM>:
+ since dimensions are automatically renamed after each application
+ of the <CODE>remove_space_dimensions</CODE> operator, unexpected
+ results can be obtained.
+ For instance, by using the following code we would obtain
+ a different result:
+ \code
+ set<Variable> vars1;
+ vars1.insert(y);
+ gr.remove_space_dimensions(vars1);
+ set<Variable> vars2;
+ vars2.insert(z);
+ gr.remove_space_dimensions(vars2);
+ \endcode
+ In this case, the result is the grid
+ \f$\bigl\{(3, 0)^\transpose \bigr\} \sseq \Rset^2\f$:
+ when removing the set of dimensions \p vars2
+ we are actually removing variable \f$w\f$ of the original grid.
+ For the same reason, the operator \p remove_space_dimensions
+ is not idempotent: removing twice the same non-empty set of dimensions
+ is never the same as removing them just once.
+*/
+
+class Parma_Polyhedra_Library::Grid {
+public:
+ //! The numeric type of coefficients.
+ typedef Coefficient coefficient_type;
+
+ //! Returns the maximum space dimension all kinds of Grid can handle.
+ static dimension_type max_space_dimension();
+
+ /*! \brief
+ Returns true indicating that this domain has methods that
+ can recycle congruences.
+ */
+ static bool can_recycle_congruence_systems();
+
+ /*! \brief
+ Returns true indicating that this domain has methods that
+ can recycle constraints.
+ */
+ static bool can_recycle_constraint_systems();
+
+ //! Builds a grid having the specified properties.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the grid;
+
+ \param kind
+ Specifies whether the universe or the empty grid has to be built.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Grid(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Builds a grid, copying a system of congruences.
+ /*!
+ The grid inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences defining the grid.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Grid(const Congruence_System& cgs);
+
+ //! Builds a grid, recycling a system of congruences.
+ /*!
+ The grid inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences defining the grid. Its data-structures
+ may be recycled to build the grid.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ Grid(Congruence_System& cgs, Recycle_Input dummy);
+
+ //! Builds a grid, copying a system of constraints.
+ /*!
+ The grid inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints defining the grid.
+
+ \exception std::invalid_argument
+ Thrown if the constraint system \p cs contains inequality constraints.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Grid(const Constraint_System& cs);
+
+ //! Builds a grid, recycling a system of constraints.
+ /*!
+ The grid inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints defining the grid. Its data-structures
+ may be recycled to build the grid.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the constraint system \p cs contains inequality constraints.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ Grid(Constraint_System& cs, Recycle_Input dummy);
+
+ //! Builds a grid, copying a system of grid generators.
+ /*!
+ The grid inherits the space dimension of the generator system.
+
+ \param ggs
+ The system of generators defining the grid.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Grid(const Grid_Generator_System& ggs);
+
+ //! Builds a grid, recycling a system of grid generators.
+ /*!
+ The grid inherits the space dimension of the generator system.
+
+ \param ggs
+ The system of generators defining the grid. Its data-structures
+ may be recycled to build the grid.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space dimension.
+ */
+ Grid(Grid_Generator_System& ggs, Recycle_Input dummy);
+
+ //! Builds a grid out of a box.
+ /*!
+ The grid inherits the space dimension of the box.
+ The built grid is the most precise grid that includes the box.
+
+ \param box
+ The box representing the grid to be built.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename Interval>
+ explicit Grid(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a grid out of a bounded-difference shape.
+ /*!
+ The grid inherits the space dimension of the BDS.
+ The built grid is the most precise grid that includes the BDS.
+
+ \param bd
+ The BDS representing the grid to be built.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p bd exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename U>
+ explicit Grid(const BD_Shape<U>& bd,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a grid out of an octagonal shape.
+ /*!
+ The grid inherits the space dimension of the octagonal shape.
+ The built grid is the most precise grid that includes the octagonal shape.
+
+ \param os
+ The octagonal shape representing the grid to be built.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p os exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename U>
+ explicit Grid(const Octagonal_Shape<U>& os,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ Builds a grid from a polyhedron using algorithms whose complexity
+ does not exceed the one specified by \p complexity.
+ If \p complexity is \p ANY_COMPLEXITY, then the grid built is the
+ smallest one containing \p ph.
+
+ The grid inherits the space dimension of polyhedron.
+
+ \param ph
+ The polyhedron.
+
+ \param complexity
+ The complexity class.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Grid(const Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ Grid(const Grid& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator. (\p *this and \p y can be
+ dimension-incompatible.)
+ */
+ Grid& operator=(const Grid& y);
+
+ //! \name Member Functions that Do Not Modify the Grid
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns \f$0\f$, if \p *this is empty; otherwise, returns
+ the \ref Grid_Affine_Dimension "affine dimension" of \p *this.
+ */
+ dimension_type affine_dimension() const;
+
+ /*! \brief
+ Returns a system of equality constraints satisfied by \p *this
+ with the same affine dimension as \p *this.
+ */
+ Constraint_System constraints() const;
+
+ /*! \brief
+ Returns a minimal system of equality constraints satisfied by
+ \p *this with the same affine dimension as \p *this.
+ */
+ Constraint_System minimized_constraints() const;
+
+ //! Returns the system of congruences.
+ const Congruence_System& congruences() const;
+
+ //! Returns the system of congruences in minimal form.
+ const Congruence_System& minimized_congruences() const;
+
+ //! Returns the system of generators.
+ const Grid_Generator_System& grid_generators() const;
+
+ //! Returns the minimized system of generators.
+ const Grid_Generator_System& minimized_grid_generators() const;
+
+ //! Returns the relations holding between \p *this and \p cg.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ // FIXME: Poly_Con_Relation seems to encode exactly what we want
+ // here. We must find a new name for that class. Temporarily,
+ // we keep using it without changing the name.
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ //! Returns the relations holding between \p *this and \p g.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ // FIXME: see the comment for Poly_Con_Relation above.
+ Poly_Gen_Relation
+ relation_with(const Grid_Generator& g) const;
+
+ //! Returns the relations holding between \p *this and \p g.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ // FIXME: see the comment for Poly_Con_Relation above.
+ Poly_Gen_Relation
+ relation_with(const Generator& g) const;
+
+ //! Returns the relations holding between \p *this and \p c.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ // FIXME: Poly_Con_Relation seems to encode exactly what we want
+ // here. We must find a new name for that class. Temporarily,
+ // we keep using it without changing the name.
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ //! Returns \c true if and only if \p *this is an empty grid.
+ bool is_empty() const;
+
+ //! Returns \c true if and only if \p *this is a universe grid.
+ bool is_universe() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is a
+ topologically closed subset of the vector space.
+
+ A grid is always topologically closed.
+ */
+ bool is_topologically_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ disjoint.
+
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are dimension-incompatible.
+ */
+ bool is_disjoint_from(const Grid& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
+ /*!
+ A grid is discrete if it can be defined by a generator system which
+ contains only points and parameters. This includes the empty grid
+ and any grid in dimension zero.
+ */
+ bool is_discrete() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is bounded.
+ bool is_bounded() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains at least one integer point.
+ */
+ bool contains_integer_point() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ bool constrains(Variable var) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
+ /*!
+ This method is the same as bounds_from_below.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
+ /*!
+ This method is the same as bounds_from_above.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from above in \p *this, in which case the
+ supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if the supremum value can be reached in \p this.
+ Always <CODE>true</CODE> when \p this bounds \p expr. Present for
+ interface compatibility with class Polyhedron, where closure
+ points can result in a value of false.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded by \p *this,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d and \p
+ maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from above in \p *this, in which case the
+ supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if the supremum value can be reached in \p this.
+ Always <CODE>true</CODE> when \p this bounds \p expr. Present for
+ interface compatibility with class Polyhedron, where closure
+ points can result in a value of false;
+
+ \param point
+ When maximization succeeds, will be assigned a point where \p expr
+ reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded by \p *this,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p point are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& point) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from below in \p *this, in which case the
+ infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if the is the infimum value can be reached in \p
+ this. Always <CODE>true</CODE> when \p this bounds \p expr.
+ Present for interface compatibility with class Polyhedron, where
+ closure points can result in a value of false.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from below in \p *this, in which case the
+ infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if the is the infimum value can be reached in \p
+ this. Always <CODE>true</CODE> when \p this bounds \p expr.
+ Present for interface compatibility with class Polyhedron, where
+ closure points can result in a value of false;
+
+ \param point
+ When minimization succeeds, will be assigned a point where \p expr
+ reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p point are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& point) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \ref Grid_Frequency "frequency" for \p *this with respect to \p expr
+ is defined, in which case the frequency and the value for \p expr
+ that is closest to zero are computed.
+
+ \param expr
+ The linear expression for which the frequency is needed;
+
+ \param freq_n
+ The numerator of the maximum frequency of \p expr;
+
+ \param freq_d
+ The denominator of the maximum frequency of \p expr;
+
+ \param val_n
+ The numerator of them value of \p expr at a point in the grid
+ that is closest to zero;
+
+ \param val_d
+ The denominator of a value of \p expr at a point in the grid
+ that is closest to zero;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or frequency is undefined with respect to \p expr,
+ then <CODE>false</CODE> is returned and \p freq_n, \p freq_d,
+ \p val_n and \p val_d are left untouched.
+ */
+ bool frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool contains(const Grid& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this strictly
+ contains \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool strictly_contains(const Grid& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ /*!
+ \return
+ <CODE>true</CODE> if and only if \p *this satisfies all the
+ invariants and either \p check_not_empty is <CODE>false</CODE> or
+ \p *this is not empty.
+
+ \param check_not_empty
+ <CODE>true</CODE> if and only if, in addition to checking the
+ invariants, \p *this must be checked to be not empty.
+
+ The check is performed so as to intrude as little as possible. If
+ the library has been compiled with run-time assertions enabled,
+ error messages are written on <CODE>std::cerr</CODE> in case
+ invariants are violated. This is useful for the purpose of
+ debugging the library.
+ */
+ bool OK(bool check_not_empty = false) const;
+
+ //@} // Member Functions that Do Not Modify the Grid
+
+ //! \name Space Dimension Preserving Member Functions that May Modify the Grid
+ //@{
+
+ //! Adds a copy of congruence \p cg to \p *this.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are
+ dimension-incompatible.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Adds a copy of grid generator \p g to the system of generators of
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible,
+ or if \p *this is an empty grid and \p g is not a point.
+ */
+ void add_grid_generator(const Grid_Generator& g);
+
+ //! Adds a copy of each congruence in \p cgs to \p *this.
+ /*!
+ \param cgs
+ Contains the congruences that will be added to the system of
+ congruences of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ //! Adds the congruences in \p cgs to *this.
+ /*!
+ \param cgs
+ The congruence system to be added to \p *this. The congruences in
+ \p cgs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+
+ \warning
+ The only assumption that can be made about \p cgs upon successful
+ or exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_congruences(Congruence_System& cgs);
+
+ /*! \brief
+ Adds to \p *this a congruence equivalent to constraint \p c.
+
+ \param c
+ The constraint to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible
+ or if constraint \p c is not optimally supported by the grid domain.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds to \p *this congruences equivalent to the constraints in \p cs.
+
+ \param cs
+ The constraints to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible
+ or if \p cs contains a constraint which is not optimally supported
+ by the grid domain.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Adds to \p *this congruences equivalent to the constraints in \p cs.
+
+ \param cs
+ The constraints to be added. They may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible
+ or if \p cs contains a constraint which is not optimally supported
+ by the grid domain.
+
+ \warning
+ The only assumption that can be made about \p cs upon successful
+ or exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_constraints(Constraint_System& cs);
+
+ //! Uses a copy of the congruence \p cg to refine \p *this.
+ /*!
+ \param cg
+ The congruence used.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ //! Uses a copy of the congruences in \p cgs to refine \p *this.
+ /*!
+ \param cgs
+ The congruences used.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ //! Uses a copy of the constraint \p c to refine \p *this.
+ /*!
+
+ \param c
+ The constraint used. If it is not an equality, it will be ignored
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ //! Uses a copy of the constraints in \p cs to refine \p *this.
+ /*!
+ \param cs
+ The constraints used. Constraints that are not equalities are ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Adds a copy of the generators in \p gs to the system of generators
+ of \p *this.
+
+ \param gs
+ Contains the generators that will be added to the system of
+ generators of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p gs are dimension-incompatible, or if
+ \p *this is empty and the system of generators \p gs is not empty,
+ but has no points.
+ */
+ void add_grid_generators(const Grid_Generator_System& gs);
+
+ /*! \brief
+ Adds the generators in \p gs to the system of generators of \p
+ *this.
+
+ \param gs
+ The generator system to be added to \p *this. The generators in
+ \p gs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p gs are dimension-incompatible.
+
+ \warning
+ The only assumption that can be made about \p gs upon successful
+ or exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_grid_generators(Grid_Generator_System& gs);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ /*! \brief
+ Assigns to \p *this the intersection of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void intersection_assign(const Grid& y);
+
+ /*! \brief
+ Assigns to \p *this the least upper bound of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void upper_bound_assign(const Grid& y);
+
+ /*! \brief
+ If the upper bound of \p *this and \p y is exact it is assigned to \p
+ *this and <CODE>true</CODE> is returned, otherwise
+ <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool upper_bound_assign_if_exact(const Grid& y);
+
+ /*! \brief
+ Assigns to \p *this the \ref Convex_Polyhedral_Difference "grid-difference"
+ of \p *this and \p y.
+
+ The grid difference between grids x and y is the smallest grid
+ containing all the points from x and y that are only in x.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void difference_assign(const Grid& y);
+
+ /*! \brief
+ Assigns to \p *this a \ref Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+ If \c false is returned, then the intersection is empty.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool simplify_using_context_assign(const Grid& y);
+
+ /*! \brief
+ Assigns to \p *this the \ref Grid_Affine_Transformation
+ "affine image" of \p
+ *this under the function mapping variable \p var to the affine
+ expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of
+ \p *this.
+
+ \if Include_Implementation_Details
+
+ When considering the generators of a grid, the
+ affine transformation
+ \f[
+ \frac{\sum_{i=0}^{n-1} a_i x_i + b}{\mathrm{denominator}}
+ \f]
+ is assigned to \p var where \p expr is
+ \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
+ (\f$b\f$ is the inhomogeneous term).
+
+ If congruences are up-to-date, it uses the specialized function
+ affine_preimage() (for the system of congruences)
+ and inverse transformation to reach the same result.
+ To obtain the inverse transformation we use the following observation.
+
+ Observation:
+ -# The affine transformation is invertible if the coefficient
+ of \p var in this transformation (i.e., \f$a_\mathrm{var}\f$)
+ is different from zero.
+ -# If the transformation is invertible, then we can write
+ \f[
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
+ = a_\mathrm{var} x_\mathrm{var}
+ + \sum_{i \neq var} a_i x_i + b,
+ \f]
+ so that the inverse transformation is
+ \f[
+ a_\mathrm{var} x_\mathrm{var}
+ = \mathrm{denominator} * {x'}_\mathrm{var}
+ - \sum_{i \neq j} a_i x_i - b.
+ \f]
+
+ Then, if the transformation is invertible, all the entities that
+ were up-to-date remain up-to-date. Otherwise only generators remain
+ up-to-date.
+
+ \endif
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the \ref Grid_Affine_Transformation
+ "affine preimage" of
+ \p *this under the function mapping variable \p var to the affine
+ expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is substituted;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this.
+
+ \if Include_Implementation_Details
+
+ When considering congruences of a grid, the affine transformation
+ \f[
+ \frac{\sum_{i=0}^{n-1} a_i x_i + b}{denominator},
+ \f]
+ is assigned to \p var where \p expr is
+ \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
+ (\f$b\f$ is the inhomogeneous term).
+
+ If generators are up-to-date, then the specialized function
+ affine_image() is used (for the system of generators)
+ and inverse transformation to reach the same result.
+ To obtain the inverse transformation, we use the following observation.
+
+ Observation:
+ -# The affine transformation is invertible if the coefficient
+ of \p var in this transformation (i.e. \f$a_\mathrm{var}\f$)
+ is different from zero.
+ -# If the transformation is invertible, then we can write
+ \f[
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
+ = a_\mathrm{var} x_\mathrm{var}
+ + \sum_{i \neq \mathrm{var}} a_i x_i + b,
+ \f],
+ the inverse transformation is
+ \f[
+ a_\mathrm{var} x_\mathrm{var}
+ = \mathrm{denominator} * {x'}_\mathrm{var}
+ - \sum_{i \neq j} a_i x_i - b.
+ \f].
+
+ Then, if the transformation is invertible, all the entities that
+ were up-to-date remain up-to-date. Otherwise only congruences remain
+ up-to-date.
+
+ \endif
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to
+ the \ref Grid_Generalized_Image "generalized affine relation"
+ \f$\mathrm{var}' = \frac{\mathrm{expr}}{\mathrm{denominator}}
+ \pmod{\mathrm{modulus}}\f$.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol where EQUAL is the symbol for a congruence
+ relation;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression.
+ Optional argument with an automatic value of one;
+
+ \param modulus
+ The modulus of the congruence lhs %= rhs. A modulus of zero
+ indicates lhs == rhs. Optional argument with an automatic value
+ of zero.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p
+ *this.
+ */
+ void
+ generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one(),
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Grid_Generalized_Image "generalized affine relation"
+ \f$\mathrm{var}' = \frac{\mathrm{expr}}{\mathrm{denominator}}
+ \pmod{\mathrm{modulus}}\f$.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol where EQUAL is the symbol for a congruence
+ relation;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression.
+ Optional argument with an automatic value of one;
+
+ \param modulus
+ The modulus of the congruence lhs %= rhs. A modulus of zero
+ indicates lhs == rhs. Optional argument with an automatic value
+ of zero.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p
+ *this.
+ */
+ void
+ generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one(),
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to
+ the \ref Grid_Generalized_Image "generalized affine relation"
+ \f$\mathrm{lhs}' = \mathrm{rhs} \pmod{\mathrm{modulus}}\f$.
+
+ \param lhs
+ The left hand side affine expression.
+
+ \param relsym
+ The relation symbol where EQUAL is the symbol for a congruence
+ relation;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \param modulus
+ The modulus of the congruence lhs %= rhs. A modulus of zero
+ indicates lhs == rhs. Optional argument with an automatic value
+ of zero.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p
+ rhs.
+ */
+ void
+ generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs,
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Grid_Generalized_Image "generalized affine relation"
+ \f$\mathrm{lhs}' = \mathrm{rhs} \pmod{\mathrm{modulus}}\f$.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol where EQUAL is the symbol for a congruence
+ relation;
+
+ \param rhs
+ The right hand side affine expression;
+
+ \param modulus
+ The modulus of the congruence lhs %= rhs. A modulus of zero
+ indicates lhs == rhs. Optional argument with an automatic value
+ of zero.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p
+ rhs.
+ */
+ void
+ generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs,
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
+
+ /*!
+ \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*!
+ \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the result of computing the \ref Grid_Time_Elapse
+ "time-elapse" between \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void time_elapse_assign(const Grid& y);
+
+ /*! \brief
+ \ref Wrapping_Operator "Wraps" the specified dimensions of the
+ vector space.
+
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be wrapped.
+
+ \param w
+ The width of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param r
+ The representation of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param o
+ The overflow behavior of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param cs_p
+ Possibly null pointer to a constraint system.
+ This argument is for compatibility with wrap_assign()
+ for the other domains and only checked for dimension-compatibility.
+
+ \param complexity_threshold
+ A precision parameter of the \ref Wrapping_Operator "wrapping operator".
+ This argument is for compatibility with wrap_assign()
+ for the other domains and is ignored.
+
+ \param wrap_individually
+ <CODE>true</CODE> if the dimensions should be wrapped individually.
+ As wrapping dimensions collectively does not improve the precision,
+ this argument is ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars or with <CODE>*cs_p</CODE>.
+
+ \warning
+ It is assumed that variables in \p Vars represent integers. Thus,
+ where the extra cost is negligible, the integrality of these
+ variables is enforced; possibly causing a non-integral grid to
+ become empty.
+ */
+ void wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p = 0,
+ unsigned complexity_threshold = 16,
+ bool wrap_individually = true);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping all points with non-integer
+ coordinates.
+
+ \param complexity
+ This argument is ignored as the algorithm used has polynomial
+ complexity.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping all points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ This argument is ignored as the algorithm used has polynomial
+ complexity.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ /*! \brief
+ Assigns to \p *this the result of computing the \ref Grid_Widening
+ "Grid widening" between \p *this and \p y using congruence systems.
+
+ \param y
+ A grid that <EM>must</EM> be contained in \p *this;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void congruence_widening_assign(const Grid& y, unsigned* tp = NULL);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the \ref Grid_Widening
+ "Grid widening" between \p *this and \p y using generator systems.
+
+ \param y
+ A grid that <EM>must</EM> be contained in \p *this;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void generator_widening_assign(const Grid& y, unsigned* tp = NULL);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the \ref Grid_Widening
+ "Grid widening" between \p *this and \p y.
+
+ This widening uses either the congruence or generator systems
+ depending on which of the systems describing x and y
+ are up to date and minimized.
+
+ \param y
+ A grid that <EM>must</EM> be contained in \p *this;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void widening_assign(const Grid& y, unsigned* tp = NULL);
+
+ /*! \brief
+ Improves the result of the congruence variant of
+ \ref Grid_Widening "Grid widening" computation by also enforcing
+ those congruences in \p cgs that are satisfied by all the points
+ of \p *this.
+
+ \param y
+ A grid that <EM>must</EM> be contained in \p *this;
+
+ \param cgs
+ The system of congruences used to improve the widened grid;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
+ */
+ void limited_congruence_extrapolation_assign(const Grid& y,
+ const Congruence_System& cgs,
+ unsigned* tp = NULL);
+
+ /*! \brief
+ Improves the result of the generator variant of the
+ \ref Grid_Widening "Grid widening"
+ computation by also enforcing those congruences in \p cgs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ A grid that <EM>must</EM> be contained in \p *this;
+
+ \param cgs
+ The system of congruences used to improve the widened grid;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
+ */
+ void limited_generator_extrapolation_assign(const Grid& y,
+ const Congruence_System& cgs,
+ unsigned* tp = NULL);
+
+ /*! \brief
+ Improves the result of the \ref Grid_Widening "Grid widening"
+ computation by also enforcing those congruences in \p cgs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ A grid that <EM>must</EM> be contained in \p *this;
+
+ \param cgs
+ The system of congruences used to improve the widened grid;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Grid_Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
+ */
+ void limited_extrapolation_assign(const Grid& y,
+ const Congruence_System& cgs,
+ unsigned* tp = NULL);
+
+ //@} // Space Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ /*! \brief
+ \ref Adding_New_Dimensions_to_the_Vector_Space "Adds"
+ \p m new space dimensions and embeds the old grid in the new
+ vector space.
+
+ \param m
+ The number of dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the vector
+ space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ The new space dimensions will be those having the highest indexes
+ in the new grid, which is characterized by a system of congruences
+ in which the variables which are the new dimensions can have any
+ value. For instance, when starting from the grid \f$\cL \sseq
+ \Rset^2\f$ and adding a third space dimension, the result will be
+ the grid
+ \f[
+ \bigl\{\,
+ (x, y, z)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cL
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ \ref Adding_New_Dimensions_to_the_Vector_Space "Adds"
+ \p m new space dimensions to the grid and does not embed it
+ in the new vector space.
+
+ \param m
+ The number of space dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ The new space dimensions will be those having the highest indexes
+ in the new grid, which is characterized by a system of congruences
+ in which the variables running through the new dimensions are all
+ constrained to be equal to 0. For instance, when starting from
+ the grid \f$\cL \sseq \Rset^2\f$ and adding a third space
+ dimension, the result will be the grid
+ \f[
+ \bigl\{\,
+ (x, y, 0)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cL
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ /*! \brief
+ Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation" of
+ \p *this and \p y, taken in this order.
+
+ \exception std::length_error
+ Thrown if the concatenation would cause the vector space
+ to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void concatenate_assign(const Grid& y);
+
+ //! Removes all the specified dimensions from the vector space.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher dimensions of the vector space so that the
+ resulting space will have \ref Removing_Dimensions_from_the_Vector_Space
+ "dimension \p new_dimension."
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimensions is greater than the space dimension of
+ \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
+
+ If \p pfunc maps only some of the dimensions of \p *this then the
+ rest will be projected away.
+
+ If the highest dimension mapped to by \p pfunc is higher than the
+ highest dimension in \p *this then the number of dimensions in \p
+ *this will be increased to the highest dimension mapped to by \p
+ pfunc.
+
+ \param pfunc
+ The partial function specifying the destiny of each space
+ dimension.
+
+ The template type parameter Partial_Function must provide
+ the following methods.
+ \code
+ bool has_empty_codomain() const
+ \endcode
+ returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty codomain (i.e., it is always undefined).
+ The <CODE>has_empty_codomain()</CODE> method will always be called
+ before the methods below. However, if
+ <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
+ of the functions below will be called.
+ \code
+ dimension_type max_in_codomain() const
+ \endcode
+ returns the maximum value that belongs to the codomain of the
+ partial function.
+ The <CODE>max_in_codomain()</CODE> method is called at most once.
+ \code
+ bool maps(dimension_type i, dimension_type& j) const
+ \endcode
+ Let \f$f\f$ be the represented function and \f$k\f$ be the value
+ of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
+ assigned to \p j and <CODE>true</CODE> is returned. If \f$f\f$ is
+ undefined in \f$k\f$, then <CODE>false</CODE> is returned.
+ This method is called at most \f$n\f$ times, where \f$n\f$ is the
+ dimension of the vector space enclosing the grid.
+
+ The result is undefined if \p pfunc does not encode a partial
+ function with the properties described in the
+ \ref Mapping_the_Dimensions_of_the_Vector_Space "specification of the mapping operator".
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector
+ space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the vector
+ space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref Expanding_One_Dimension_of_the_Vector_Space_to_Multiple_Dimensions
+ "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars. Also
+ thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are
+ \ref Folding_Multiple_Dimensions_of_the_Vector_Space_into_One_Dimension "folded"
+ into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+ friend bool operator==(const Grid& x, const Grid& y);
+
+ friend class Parma_Polyhedra_Library::Grid_Certificate;
+
+ template <typename Interval> friend class Parma_Polyhedra_Library::Box;
+
+ //! \name Miscellaneous Member Functions
+ //@{
+
+ //! Destructor.
+ ~Grid();
+
+ /*! \brief
+ Swaps \p *this with grid \p y. (\p *this and \p y can be
+ dimension-incompatible.)
+ */
+ void m_swap(Grid& y);
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If \p x and \p y are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ //@} // Miscellaneous Member Functions
+
+private:
+
+ //! The system of congruences.
+ Congruence_System con_sys;
+
+ //! The system of generators.
+ Grid_Generator_System gen_sys;
+
+#define PPL_IN_Grid_CLASS
+#include "Grid_Status_idefs.hh"
+#undef PPL_IN_Grid_CLASS
+
+ //! The status flags to keep track of the grid's internal state.
+ Status status;
+
+ //! The number of dimensions of the enclosing vector space.
+ dimension_type space_dim;
+
+ enum Dimension_Kind {
+ PARAMETER = 0,
+ LINE = 1,
+ GEN_VIRTUAL = 2,
+ PROPER_CONGRUENCE = PARAMETER,
+ CON_VIRTUAL = LINE,
+ EQUALITY = GEN_VIRTUAL
+ };
+
+ typedef std::vector<Dimension_Kind> Dimension_Kinds;
+
+ // The type of row associated with each dimension. If the virtual
+ // rows existed then the reduced systems would be square and upper
+ // or lower triangular, and the rows in each would have the types
+ // given in this vector. As the congruence system is reduced to an
+ // upside-down lower triangular form the ordering of the congruence
+ // types is last to first.
+ Dimension_Kinds dim_kinds;
+
+ //! Builds a grid universe or empty grid.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the grid;
+
+ \param kind
+ specifies whether the universe or the empty grid has to be built.
+ */
+ void construct(dimension_type num_dimensions, Degenerate_Element kind);
+
+ //! Builds a grid from a system of congruences.
+ /*!
+ The grid inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences defining the grid. Its data-structures
+ may be recycled to build the grid.
+ */
+ void construct(Congruence_System& cgs);
+
+ //! Builds a grid from a system of grid generators.
+ /*!
+ The grid inherits the space dimension of the generator system.
+
+ \param ggs
+ The system of grid generators defining the grid. Its data-structures
+ may be recycled to build the grid.
+ */
+ void construct(Grid_Generator_System& ggs);
+
+ //! \name Private Verifiers: Verify if Individual Flags are Set
+ //@{
+
+ //! Returns <CODE>true</CODE> if the grid is known to be empty.
+ /*!
+ The return value <CODE>false</CODE> does not necessarily
+ implies that \p *this is non-empty.
+ */
+ bool marked_empty() const;
+
+ //! Returns <CODE>true</CODE> if the system of congruences is up-to-date.
+ bool congruences_are_up_to_date() const;
+
+ //! Returns <CODE>true</CODE> if the system of generators is up-to-date.
+ bool generators_are_up_to_date() const;
+
+ //! Returns <CODE>true</CODE> if the system of congruences is minimized.
+ bool congruences_are_minimized() const;
+
+ //! Returns <CODE>true</CODE> if the system of generators is minimized.
+ bool generators_are_minimized() const;
+
+ //@} // Private Verifiers: Verify if Individual Flags are Set
+
+ //! \name State Flag Setters: Set Only the Specified Flags
+ //@{
+
+ /*! \brief
+ Sets \p status to express that the grid is the universe
+ 0-dimension vector space, clearing all corresponding matrices.
+ */
+ void set_zero_dim_univ();
+
+ /*! \brief
+ Sets \p status to express that the grid is empty, clearing all
+ corresponding matrices.
+ */
+ void set_empty();
+
+ //! Sets \p status to express that congruences are up-to-date.
+ void set_congruences_up_to_date();
+
+ //! Sets \p status to express that generators are up-to-date.
+ void set_generators_up_to_date();
+
+ //! Sets \p status to express that congruences are minimized.
+ void set_congruences_minimized();
+
+ //! Sets \p status to express that generators are minimized.
+ void set_generators_minimized();
+
+ //@} // State Flag Setters: Set Only the Specified Flags
+
+ //! \name State Flag Cleaners: Clear Only the Specified Flag
+ //@{
+
+ //! Clears the \p status flag indicating that the grid is empty.
+ void clear_empty();
+
+ //! Sets \p status to express that congruences are out of date.
+ void clear_congruences_up_to_date();
+
+ //! Sets \p status to express that generators are out of date.
+ void clear_generators_up_to_date();
+
+ //! Sets \p status to express that congruences are no longer minimized.
+ void clear_congruences_minimized();
+
+ //! Sets \p status to express that generators are no longer minimized.
+ void clear_generators_minimized();
+
+ //@} // State Flag Cleaners: Clear Only the Specified Flag
+
+ //! \name Updating Matrices
+ //@{
+
+ //! Updates and minimizes the congruences from the generators.
+ void update_congruences() const;
+
+ //! Updates and minimizes the generators from the congruences.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty grid.
+
+ It is illegal to call this method when the Status field already
+ declares the grid to be empty.
+ */
+ bool update_generators() const;
+
+ //@} // Updating Matrices
+
+ //! \name Minimization of Descriptions
+ //@{
+
+ //! Minimizes both the congruences and the generators.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty grid.
+
+ Minimization is performed on each system only if the minimized
+ Status field is clear.
+ */
+ bool minimize() const;
+
+ //@} // Minimization of Descriptions
+
+ enum Three_Valued_Boolean {
+ TVB_TRUE,
+ TVB_FALSE,
+ TVB_DONT_KNOW
+ };
+
+ //! Polynomial but incomplete equivalence test between grids.
+ Three_Valued_Boolean quick_equivalence_test(const Grid& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is included in \p y.
+ bool is_included_in(const Grid& y) const;
+
+ //! Checks if and how \p expr is bounded in \p *this.
+ /*!
+ Returns <CODE>true</CODE> if and only if \p from_above is
+ <CODE>true</CODE> and \p expr is bounded from above in \p *this,
+ or \p from_above is <CODE>false</CODE> and \p expr is bounded
+ from below in \p *this.
+
+ \param expr
+ The linear expression to test;
+
+ \param method_call
+ The call description of the public parent method, for example
+ "bounded_from_above(e)". Passed to throw_dimension_incompatible,
+ as the first argument.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds(const Linear_Expression& expr, const char* method_call) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p
+ *this;
+
+ \param method_call
+ The call description of the public parent method, for example
+ "maximize(e)". Passed to throw_dimension_incompatible, as the
+ first argument;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr in \p
+ *this can actually be reached (which is always the case);
+
+ \param point
+ When maximization or minimization succeeds, will be assigned the
+ point where \p expr reaches the extremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p point are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ const char* method_call,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator* point = NULL) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \ref Grid_Frequency "frequency" for \p *this with respect to \p expr
+ is defined, in which case the frequency and the value for \p expr
+ that is closest to zero are computed.
+
+ \param expr
+ The linear expression for which the frequency is needed;
+
+ \param freq_n
+ The numerator of the maximum frequency of \p expr;
+
+ \param freq_d
+ The denominator of the maximum frequency of \p expr;
+
+ \param val_n
+ The numerator of a value of \p expr at a point in the grid
+ that is closest to zero;
+
+ \param val_d
+ The denominator of a value of \p expr at a point in the grid
+ that is closest to zero;
+
+ If \p *this is empty or frequency is undefined with respect to \p expr,
+ then <CODE>false</CODE> is returned and \p freq_n, \p freq_d,
+ \p val_n and \p val_d are left untouched.
+
+ \warning
+ If \p expr and \p *this are dimension-incompatible,
+ the grid generator system is not minimized or \p *this is
+ empty, then the behavior is undefined.
+ */
+ bool frequency_no_check(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
+
+ //! Checks if and how \p expr is bounded in \p *this.
+ /*!
+ Returns <CODE>true</CODE> if and only if \p from_above is
+ <CODE>true</CODE> and \p expr is bounded from above in \p *this,
+ or \p from_above is <CODE>false</CODE> and \p expr is bounded
+ from below in \p *this.
+
+ \param expr
+ The linear expression to test;
+ */
+ bool bounds_no_check(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Adds the congruence \p cg to \p *this.
+
+ \warning
+ If \p cg and \p *this are dimension-incompatible,
+ the grid generator system is not minimized or \p *this is
+ empty, then the behavior is undefined.
+ */
+ void add_congruence_no_check(const Congruence& cg);
+
+ /*! \brief
+ Uses the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be added.
+
+ \exception std::invalid_argument
+ Thrown if c is a non-trivial inequality constraint.
+
+ \warning
+ If \p c and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void add_constraint_no_check(const Constraint& c);
+
+ /*! \brief
+ Uses the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be added.
+ Non-trivial inequalities are ignored.
+
+ \warning
+ If \p c and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Constraint& c);
+
+ //! \name Widening- and Extrapolation-Related Functions
+ //@{
+
+ //! Copies a widened selection of congruences from \p y to \p selected_cgs.
+ void select_wider_congruences(const Grid& y,
+ Congruence_System& selected_cgs) const;
+
+ //! Copies widened generators from \p y to \p widened_ggs.
+ void select_wider_generators(const Grid& y,
+ Grid_Generator_System& widened_ggs) const;
+
+ //@} // Widening- and Extrapolation-Related Functions
+
+ //! Adds new space dimensions to the given systems.
+ /*!
+ \param cgs
+ A congruence system, to which columns are added;
+
+ \param gs
+ A generator system, to which rows and columns are added;
+
+ \param dims
+ The number of space dimensions to add.
+
+ This method is invoked only by
+ <CODE>add_space_dimensions_and_embed()</CODE>.
+ */
+ void add_space_dimensions(Congruence_System& cgs,
+ Grid_Generator_System& gs,
+ dimension_type dims);
+
+ //! Adds new space dimensions to the given systems.
+ /*!
+ \param gs
+ A generator system, to which columns are added;
+
+ \param cgs
+ A congruence system, to which rows and columns are added;
+
+ \param dims
+ The number of space dimensions to add.
+
+ This method is invoked only by
+ <CODE>add_space_dimensions_and_project()</CODE>.
+ */
+ void add_space_dimensions(Grid_Generator_System& gs,
+ Congruence_System& cgs,
+ dimension_type dims);
+
+ //! \name Minimization-related Static Member Functions
+ //@{
+
+ //! Normalizes the divisors in \p sys.
+ /*!
+ Converts \p sys to an equivalent system in which the divisors are
+ of equal value.
+
+ \param sys
+ The generator system to be normalized. It must have at least one
+ row.
+
+ \param divisor
+ A reference to the initial value of the divisor. The resulting
+ value of this object is the new system divisor.
+
+ \param first_point
+ If \p first_point has a value other than NULL then it is taken as
+ the first point in \p sys, and it is assumed that any following
+ points have the same divisor as \p first_point.
+ */
+ static void
+ normalize_divisors(Grid_Generator_System& sys,
+ Coefficient& divisor,
+ const Grid_Generator* first_point = NULL);
+
+ //! Normalizes the divisors in \p sys.
+ /*!
+ Converts \p sys to an equivalent system in which the divisors are
+ of equal value.
+
+ \param sys
+ The generator system to be normalized. It must have at least one
+ row.
+ */
+ static void
+ normalize_divisors(Grid_Generator_System& sys);
+
+ //! Normalize all the divisors in \p sys and \p gen_sys.
+ /*!
+ Modify \p sys and \p gen_sys to use the same single divisor value
+ for all generators, leaving each system representing the grid it
+ represented originally.
+
+ \param sys
+ The first of the generator systems to be normalized.
+
+ \param gen_sys
+ The second of the generator systems to be normalized. This system
+ must have at least one row and the divisors of the generators in
+ this system must be equal.
+
+ \exception std::runtime_error
+ Thrown if all rows in \p gen_sys are lines and/or parameters.
+ */
+ static void normalize_divisors(Grid_Generator_System& sys,
+ Grid_Generator_System& gen_sys);
+
+ /*! \brief
+ Converts generator system \p dest to be equivalent to congruence
+ system \p source.
+ */
+ static void conversion(Congruence_System& source,
+ Grid_Generator_System& dest,
+ Dimension_Kinds& dim_kinds);
+
+ /*! \brief
+ Converts congruence system \p dest to be equivalent to generator
+ system \p source.
+ */
+ static void conversion(Grid_Generator_System& source,
+ Congruence_System& dest,
+ Dimension_Kinds& dim_kinds);
+
+ //! Converts \p cgs to upper triangular (i.e. minimized) form.
+ /*!
+ Returns <CODE>true</CODE> if \p cgs represents the empty set,
+ otherwise returns <CODE>false</CODE>.
+ */
+ static bool simplify(Congruence_System& cgs,
+ Dimension_Kinds& dim_kinds);
+
+ //! Converts \p gs to lower triangular (i.e. minimized) form.
+ /*!
+ Expects \p gs to contain at least one point.
+ */
+ static void simplify(Grid_Generator_System& ggs,
+ Dimension_Kinds& dim_kinds);
+
+ //! Reduces the line \p row using the line \p pivot.
+ /*!
+ Uses the line \p pivot to change the representation of the line
+ \p row so that the element at index \p column of \p row is zero.
+ */
+ // A member of Grid for access to Matrix<Dense_Row>::rows.
+ static void reduce_line_with_line(Grid_Generator& row,
+ Grid_Generator& pivot,
+ dimension_type column);
+
+ //! Reduces the equality \p row using the equality \p pivot.
+ /*!
+ Uses the equality \p pivot to change the representation of the
+ equality \p row so that the element at index \p column of \p row
+ is zero.
+ */
+ // A member of Grid for access to Matrix<Dense_Row>::rows.
+ static void reduce_equality_with_equality(Congruence& row,
+ const Congruence& pivot,
+ dimension_type column);
+
+ //! Reduces \p row using \p pivot.
+ /*!
+ Uses the point, parameter or proper congruence at \p pivot to
+ change the representation of the point, parameter or proper
+ congruence at \p row so that the element at index \p column of \p row
+ is zero. Only elements from index \p start to index \p end are
+ modified (i.e. it is assumed that all other elements are zero).
+ This means that \p col must be in [start,end).
+
+ NOTE: This may invalidate the rows, since it messes with the divisors.
+ Client code has to fix that (if needed) and assert OK().
+ */
+ // Part of Grid for access to Matrix<Dense_Row>::rows.
+ template <typename R>
+ static void reduce_pc_with_pc(R& row,
+ R& pivot,
+ dimension_type column,
+ dimension_type start,
+ dimension_type end);
+
+ //! Reduce \p row using \p pivot.
+ /*!
+ Use the line \p pivot to change the representation of the
+ parameter \p row such that the element at index \p column of \p row
+ is zero.
+ */
+ // This takes a parameter with type Swapping_Vector<Grid_Generator> (instead
+ // of Grid_Generator_System) to simplify the implementation of `simplify()'.
+ // NOTE: This may invalidate `row' and the rows in `sys'. Client code must
+ // fix/check this.
+ static void reduce_parameter_with_line(Grid_Generator& row,
+ const Grid_Generator& pivot,
+ dimension_type column,
+ Swapping_Vector<Grid_Generator>& sys,
+ dimension_type num_columns);
+
+ //! Reduce \p row using \p pivot.
+ /*!
+ Use the equality \p pivot to change the representation of the
+ congruence \p row such that element at index \p column of \p row
+ is zero.
+ */
+ // A member of Grid for access to Matrix<Dense_Row>::rows.
+ // This takes a parameter with type Swapping_Vector<Congruence> (instead of
+ // Congruence_System) to simplify the implementation of `conversion()'.
+ static void reduce_congruence_with_equality(Congruence& row,
+ const Congruence& pivot,
+ dimension_type column,
+ Swapping_Vector<Congruence>& sys);
+
+ //! Reduce column \p dim in rows preceding \p pivot_index in \p sys.
+ /*!
+ Required when converting (or simplifying) a congruence or generator
+ system to "strong minimal form"; informally, strong minimal form means
+ that, not only is the system in minimal form (ie a triangular matrix),
+ but also the absolute values of the coefficients of the proper congruences
+ and parameters are minimal. As a simple example, the set of congruences
+ \f$\{3x \equiv_3 0, 4x + y \equiv_3 1\}\f$,
+ (which is in minimal form) is equivalent to the set
+ \f$\{3x \equiv_3 0, x + y \equiv_3 1\}\f$
+ (which is in strong minimal form).
+
+ \param sys
+ The generator or congruence system to be reduced to strong minimal form.
+
+ \param dim
+ Column to be reduced.
+
+ \param pivot_index
+ Index of last row to be reduced.
+
+ \param start
+ Index of first column to be changed.
+
+ \param end
+ Index of last column to be changed.
+
+ \param sys_dim_kinds
+ Dimension kinds of the elements of \p sys.
+
+ \param generators
+ Flag indicating whether \p sys is a congruence or generator system
+ */
+ template <typename M>
+ // This takes a parameter with type `Swapping_Vector<M::row_type>'
+ // instead of `M' to simplify the implementation of simplify().
+ // NOTE: This may invalidate the rows in `sys'. Client code must
+ // fix/check this.
+ static void reduce_reduced(Swapping_Vector<typename M::row_type>& sys,
+ dimension_type dim,
+ dimension_type pivot_index,
+ dimension_type start, dimension_type end,
+ const Dimension_Kinds& sys_dim_kinds,
+ bool generators = true);
+
+ //! Multiply the elements of \p dest by \p multiplier.
+ // A member of Grid for access to Matrix<Dense_Row>::rows and cgs::operator[].
+ // The type of `dest' is Swapping_Vector<Congruence> instead of
+ // Congruence_System to simplify the implementation of conversion().
+ static void multiply_grid(const Coefficient& multiplier,
+ Congruence& cg,
+ Swapping_Vector<Congruence>& dest,
+ dimension_type num_rows);
+
+ //! Multiply the elements of \p dest by \p multiplier.
+ // A member of Grid for access to Grid_Generator::operator[].
+ // The type of `dest' is Swapping_Vector<Grid_Generator> instead of
+ // Grid_Generator_System to simplify the implementation of conversion().
+ // NOTE: This does not check whether the rows are OK(). Client code
+ // should do that.
+ static void multiply_grid(const Coefficient& multiplier,
+ Grid_Generator& gen,
+ Swapping_Vector<Grid_Generator>& dest,
+ dimension_type num_rows);
+
+ /*! \brief
+ If \p sys is lower triangular return <CODE>true</CODE>, else
+ return <CODE>false</CODE>.
+ */
+ static bool lower_triangular(const Congruence_System& sys,
+ const Dimension_Kinds& dim_kinds);
+
+ /*! \brief
+ If \p sys is upper triangular return <CODE>true</CODE>, else
+ return <CODE>false</CODE>.
+ */
+ static bool upper_triangular(const Grid_Generator_System& sys,
+ const Dimension_Kinds& dim_kinds);
+
+#ifndef NDEBUG
+ //! Checks that trailing rows contain only zero terms.
+ /*!
+ If all columns contain zero in the rows of \p system from row
+ index \p first to row index \p last then return <code>true</code>,
+ else return <code>false</code>. \p row_size gives the number of
+ columns in each row.
+
+ This method is only used in assertions in the simplify methods.
+ */
+ template <typename M, typename R>
+ static bool rows_are_zero(M& system,
+ dimension_type first,
+ dimension_type last,
+ dimension_type row_size);
+#endif
+
+ //@} // Minimization-Related Static Member Functions
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \name Exception Throwers
+ //@{
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+protected:
+ void throw_dimension_incompatible(const char* method,
+ const char* other_name,
+ dimension_type other_dim) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* gr_name,
+ const Grid& gr) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* cg_name,
+ const Congruence& cg) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* c_name,
+ const Constraint& c) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* g_name,
+ const Grid_Generator& g) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* g_name,
+ const Generator& g) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* cgs_name,
+ const Congruence_System& cgs) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* cs_name,
+ const Constraint_System& cs) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* gs_name,
+ const Grid_Generator_System& gs) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* var_name,
+ Variable var) const;
+ void throw_dimension_incompatible(const char* method,
+ dimension_type required_space_dim) const;
+
+ static void throw_invalid_argument(const char* method,
+ const char* reason);
+ static void throw_invalid_constraint(const char* method,
+ const char* c_name);
+ static void throw_invalid_constraints(const char* method,
+ const char* cs_name);
+ static void throw_invalid_generator(const char* method,
+ const char* g_name);
+ static void throw_invalid_generators(const char* method,
+ const char* gs_name);
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //@} // Exception Throwers
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+};
+
+#include "Grid_Status_inlines.hh"
+#include "Grid_inlines.hh"
+#include "Grid_templates.hh"
+
+#endif // !defined(PPL_Grid_defs_hh)
diff --git a/src/Grid_inlines.hh b/src/Grid_inlines.hh
new file mode 100644
index 0000000..5c496dc
--- /dev/null
+++ b/src/Grid_inlines.hh
@@ -0,0 +1,383 @@
+/* Grid class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_inlines_hh
+#define PPL_Grid_inlines_hh 1
+
+#include "Grid_Generator_defs.hh"
+#include "Grid_Generator_System_defs.hh"
+#include "Grid_Generator_System_inlines.hh"
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+inline bool
+Grid::marked_empty() const {
+ return status.test_empty();
+}
+
+inline bool
+Grid::congruences_are_up_to_date() const {
+ return status.test_c_up_to_date();
+}
+
+inline bool
+Grid::generators_are_up_to_date() const {
+ return status.test_g_up_to_date();
+}
+
+inline bool
+Grid::congruences_are_minimized() const {
+ return status.test_c_minimized();
+}
+
+inline bool
+Grid::generators_are_minimized() const {
+ return status.test_g_minimized();
+}
+
+inline void
+Grid::set_generators_up_to_date() {
+ status.set_g_up_to_date();
+}
+
+inline void
+Grid::set_congruences_up_to_date() {
+ status.set_c_up_to_date();
+}
+
+inline void
+Grid::set_congruences_minimized() {
+ set_congruences_up_to_date();
+ status.set_c_minimized();
+}
+
+inline void
+Grid::set_generators_minimized() {
+ set_generators_up_to_date();
+ status.set_g_minimized();
+}
+
+inline void
+Grid::clear_empty() {
+ status.reset_empty();
+}
+
+inline void
+Grid::clear_congruences_minimized() {
+ status.reset_c_minimized();
+}
+
+inline void
+Grid::clear_generators_minimized() {
+ status.reset_g_minimized();
+}
+
+inline void
+Grid::clear_congruences_up_to_date() {
+ clear_congruences_minimized();
+ status.reset_c_up_to_date();
+ // Can get rid of con_sys here.
+}
+
+inline void
+Grid::clear_generators_up_to_date() {
+ clear_generators_minimized();
+ status.reset_g_up_to_date();
+ // Can get rid of gen_sys here.
+}
+
+inline dimension_type
+Grid::max_space_dimension() {
+ // One dimension is reserved to have a value of type dimension_type
+ // that does not represent a legal dimension.
+ return std::min(std::numeric_limits<dimension_type>::max() - 1,
+ std::min(Congruence_System::max_space_dimension(),
+ Grid_Generator_System::max_space_dimension()
+ )
+ );
+}
+
+inline
+Grid::Grid(dimension_type num_dimensions,
+ const Degenerate_Element kind)
+ : con_sys(),
+ gen_sys(check_space_dimension_overflow(num_dimensions,
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(n, k)",
+ "n exceeds the maximum "
+ "allowed space dimension")) {
+ construct(num_dimensions, kind);
+ PPL_ASSERT(OK());
+}
+
+inline
+Grid::Grid(const Congruence_System& cgs)
+ : con_sys(check_space_dimension_overflow(cgs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(cgs)",
+ "the space dimension of cgs "
+ "exceeds the maximum allowed "
+ "space dimension")),
+ gen_sys(cgs.space_dimension()) {
+ Congruence_System cgs_copy(cgs);
+ construct(cgs_copy);
+}
+
+inline
+Grid::Grid(Congruence_System& cgs, Recycle_Input)
+ : con_sys(check_space_dimension_overflow(cgs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(cgs, recycle)",
+ "the space dimension of cgs "
+ "exceeds the maximum allowed "
+ "space dimension")),
+ gen_sys(cgs.space_dimension()) {
+ construct(cgs);
+}
+
+inline
+Grid::Grid(const Grid_Generator_System& ggs)
+ : con_sys(check_space_dimension_overflow(ggs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(ggs)",
+ "the space dimension of ggs "
+ "exceeds the maximum allowed "
+ "space dimension")),
+ gen_sys(ggs.space_dimension()) {
+ Grid_Generator_System ggs_copy(ggs);
+ construct(ggs_copy);
+}
+
+inline
+Grid::Grid(Grid_Generator_System& ggs, Recycle_Input)
+ : con_sys(check_space_dimension_overflow(ggs.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(ggs, recycle)",
+ "the space dimension of ggs "
+ "exceeds the maximum allowed "
+ "space dimension")),
+ gen_sys(ggs.space_dimension()) {
+ construct(ggs);
+}
+
+template <typename U>
+inline
+Grid::Grid(const BD_Shape<U>& bd, Complexity_Class)
+ : con_sys(check_space_dimension_overflow(bd.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(bd)",
+ "the space dimension of bd "
+ "exceeds the maximum allowed "
+ "space dimension")),
+ gen_sys(bd.space_dimension()) {
+ Congruence_System cgs = bd.congruences();
+ construct(cgs);
+}
+
+template <typename U>
+inline
+Grid::Grid(const Octagonal_Shape<U>& os, Complexity_Class)
+ : con_sys(check_space_dimension_overflow(os.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(os)",
+ "the space dimension of os "
+ "exceeds the maximum allowed "
+ "space dimension")),
+ gen_sys(os.space_dimension()) {
+ Congruence_System cgs = os.congruences();
+ construct(cgs);
+}
+
+inline
+Grid::~Grid() {
+}
+
+inline dimension_type
+Grid::space_dimension() const {
+ return space_dim;
+}
+
+inline memory_size_type
+Grid::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline int32_t
+Grid::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+inline Constraint_System
+Grid::constraints() const {
+ return Constraint_System(congruences());
+}
+
+inline Constraint_System
+Grid::minimized_constraints() const {
+ return Constraint_System(minimized_congruences());
+}
+
+inline void
+Grid::m_swap(Grid& y) {
+ using std::swap;
+ swap(con_sys, y.con_sys);
+ swap(gen_sys, y.gen_sys);
+ swap(status, y.status);
+ swap(space_dim, y.space_dim);
+ swap(dim_kinds, y.dim_kinds);
+}
+
+inline void
+Grid::add_congruence(const Congruence& cg) {
+ // Dimension-compatibility check.
+ if (space_dim < cg.space_dimension())
+ throw_dimension_incompatible("add_congruence(cg)", "cg", cg);
+
+ if (!marked_empty())
+ add_congruence_no_check(cg);
+}
+
+inline void
+Grid::add_congruences(const Congruence_System& cgs) {
+ // TODO: this is just an executable specification.
+ // Space dimension compatibility check.
+ if (space_dim < cgs.space_dimension())
+ throw_dimension_incompatible("add_congruences(cgs)", "cgs", cgs);
+
+ if (!marked_empty()) {
+ Congruence_System cgs_copy = cgs;
+ add_recycled_congruences(cgs_copy);
+ }
+}
+
+inline void
+Grid::refine_with_congruence(const Congruence& cg) {
+ add_congruence(cg);
+}
+
+inline void
+Grid::refine_with_congruences(const Congruence_System& cgs) {
+ add_congruences(cgs);
+}
+
+inline bool
+Grid::can_recycle_constraint_systems() {
+ return true;
+}
+
+inline bool
+Grid::can_recycle_congruence_systems() {
+ return true;
+}
+
+inline void
+Grid::add_constraint(const Constraint& c) {
+ // Space dimension compatibility check.
+ if (space_dim < c.space_dimension())
+ throw_dimension_incompatible("add_constraint(c)", "c", c);
+ if (!marked_empty())
+ add_constraint_no_check(c);
+}
+
+inline void
+Grid::add_recycled_constraints(Constraint_System& cs) {
+ // TODO: really recycle the constraints.
+ add_constraints(cs);
+}
+
+inline bool
+Grid::bounds_from_above(const Linear_Expression& expr) const {
+ return bounds(expr, "bounds_from_above(e)");
+}
+
+inline bool
+Grid::bounds_from_below(const Linear_Expression& expr) const {
+ return bounds(expr, "bounds_from_below(e)");
+}
+
+inline bool
+Grid::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const {
+ return max_min(expr, "maximize(e, ...)", sup_n, sup_d, maximum);
+}
+
+inline bool
+Grid::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& point) const {
+ return max_min(expr, "maximize(e, ...)", sup_n, sup_d, maximum, &point);
+}
+
+inline bool
+Grid::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const {
+ return max_min(expr, "minimize(e, ...)", inf_n, inf_d, minimum);
+}
+
+inline bool
+Grid::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& point) const {
+ return max_min(expr, "minimize(e, ...)", inf_n, inf_d, minimum, &point);
+}
+
+inline void
+Grid::normalize_divisors(Grid_Generator_System& sys) {
+ PPL_DIRTY_TEMP_COEFFICIENT(divisor);
+ divisor = 1;
+ normalize_divisors(sys, divisor);
+}
+
+/*! \relates Grid */
+inline bool
+operator!=(const Grid& x, const Grid& y) {
+ return !(x == y);
+}
+
+inline bool
+Grid::strictly_contains(const Grid& y) const {
+ const Grid& x = *this;
+ return x.contains(y) && !y.contains(x);
+}
+
+inline void
+Grid::topological_closure_assign() {
+}
+
+/*! \relates Grid */
+inline void
+swap(Grid& x, Grid& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Grid_inlines_hh)
diff --git a/src/Grid_nonpublic.cc b/src/Grid_nonpublic.cc
index 9347d7f..69fadd8 100644
--- a/src/Grid_nonpublic.cc
+++ b/src/Grid_nonpublic.cc
@@ -1,7 +1,7 @@
/* Grid class implementation
(non-inline private or protected functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,10 +23,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid.defs.hh"
-#include "Grid_Generator.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
+#include "Grid_defs.hh"
+#include "Grid_Generator_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
#include "assert.hh"
#include <string>
#include <iostream>
@@ -50,7 +50,7 @@ namespace PPL = Parma_Polyhedra_Library;
void
PPL::Grid::construct(dimension_type num_dimensions,
- const Degenerate_Element kind) {
+ const Degenerate_Element kind) {
space_dim = num_dimensions;
if (kind == EMPTY) {
@@ -191,7 +191,7 @@ PPL::Grid::quick_equivalence_test(const Grid& y) const {
if (x.con_sys.num_rows() != y.con_sys.num_rows())
return Grid::TVB_FALSE;
// - the same number of equalities; ...
- dimension_type x_num_equalities = x.con_sys.num_equalities();
+ const dimension_type x_num_equalities = x.con_sys.num_equalities();
if (x_num_equalities != y.con_sys.num_equalities())
return Grid::TVB_FALSE;
// - and if there are no equalities, the same congruences.
@@ -212,9 +212,9 @@ PPL::Grid::quick_equivalence_test(const Grid& y) const {
if (x_num_lines == 0) {
// Check for syntactic identity.
if (x.gen_sys == y.gen_sys)
- return Grid::TVB_TRUE;
+ return Grid::TVB_TRUE;
else
- return Grid::TVB_FALSE;
+ return Grid::TVB_FALSE;
}
}
@@ -259,7 +259,7 @@ PPL::Grid::is_included_in(const Grid& y) const {
const Grid_Generator_System& gs = x.gen_sys;
const Congruence_System& cgs = y.con_sys;
- dimension_type num_rows = gs.num_rows();
+ const dimension_type num_rows = gs.num_rows();
for (dimension_type i = num_rows; i-- > 0; )
if (!cgs.satisfies_all_congruences(gs[i]))
return false;
@@ -270,7 +270,7 @@ PPL::Grid::is_included_in(const Grid& y) const {
bool
PPL::Grid::bounds(const Linear_Expression& expr,
- const char* method_call) const {
+ const char* method_call) const {
// The dimension of `expr' must be at most the dimension of *this.
if (space_dim < expr.space_dimension())
throw_dimension_incompatible(method_call, "e", expr);
@@ -301,8 +301,8 @@ PPL::Grid::bounds_no_check(const Linear_Expression& expr) const {
if (g.is_line_or_parameter()) {
const int sp_sign = Scalar_Products::homogeneous_sign(expr, g);
if (sp_sign != 0)
- // `*this' does not bound `expr'.
- return false;
+ // `*this' does not bound `expr'.
+ return false;
}
}
return true;
@@ -339,7 +339,7 @@ PPL::Grid::frequency_no_check(const Linear_Expression& expr,
// The frequency is the gcd of the scalar products of the parameters
// in `gen_sys'.
- dimension_type num_rows = gen_sys.num_rows();
+ const dimension_type num_rows = gen_sys.num_rows();
PPL_DIRTY_TEMP_COEFFICIENT(sp);
freq_n = 0;
@@ -389,9 +389,9 @@ PPL::Grid::frequency_no_check(const Linear_Expression& expr,
bool
PPL::Grid::max_min(const Linear_Expression& expr,
- const char* method_call,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator* point) const {
+ const char* method_call,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator* point) const {
if (bounds(expr, method_call)) {
if (marked_empty())
return false;
@@ -400,7 +400,7 @@ PPL::Grid::max_min(const Linear_Expression& expr,
ext_d = 1;
included = true;
if (point != 0)
- *point = Generator::point();
+ *point = Generator::point();
return true;
}
// Grid::bounds above ensures the generators are up to date.
@@ -422,8 +422,10 @@ PPL::Grid::max_min(const Linear_Expression& expr,
exact_div_assign(ext_d, ext_d, gcd);
included = true;
- if (point != 0)
- *point = Generator::point(Linear_Expression(gen), gen.divisor());
+ if (point != 0) {
+ const Linear_Expression g_expr(gen.expression());
+ *point = Generator::point(g_expr, gen.divisor());
+ }
return true;
}
return false;
@@ -524,25 +526,25 @@ PPL::Grid::minimize() const {
Grid& gr = const_cast<Grid&>(*this);
// Only one of the systems can be minimized here.
if (congruences_are_minimized()) {
- // Minimize the generator system.
- gr.simplify(gr.gen_sys, gr.dim_kinds);
- gr.set_generators_minimized();
+ // Minimize the generator system.
+ gr.simplify(gr.gen_sys, gr.dim_kinds);
+ gr.set_generators_minimized();
}
else {
#ifndef NDEBUG
- // Both systems are up to date, and the empty case is handled
- // above, so the grid should contain points.
- bool empty = simplify(gr.con_sys, gr.dim_kinds);
- PPL_ASSERT(!empty);
+ // Both systems are up to date, and the empty case is handled
+ // above, so the grid should contain points.
+ bool empty = simplify(gr.con_sys, gr.dim_kinds);
+ PPL_ASSERT(!empty);
#else
- simplify(gr.con_sys, gr.dim_kinds);
+ simplify(gr.con_sys, gr.dim_kinds);
#endif
- gr.set_congruences_minimized();
- if (!generators_are_minimized()) {
- // Minimize the generator system.
- gr.simplify(gr.gen_sys, gr.dim_kinds);
- gr.set_generators_minimized();
- }
+ gr.set_congruences_minimized();
+ if (!generators_are_minimized()) {
+ // Minimize the generator system.
+ gr.simplify(gr.gen_sys, gr.dim_kinds);
+ gr.set_generators_minimized();
+ }
}
}
else {
@@ -562,7 +564,7 @@ PPL::Grid::minimize() const {
void
PPL::Grid::normalize_divisors(Grid_Generator_System& sys,
- Grid_Generator_System& gen_sys) {
+ Grid_Generator_System& gen_sys) {
#ifndef NDEBUG
const dimension_type num_rows = gen_sys.num_rows();
#endif
@@ -602,11 +604,11 @@ PPL::Grid::normalize_divisors(Grid_Generator_System& sys,
void
PPL::Grid::normalize_divisors(Grid_Generator_System& sys,
- Coefficient& divisor,
- const Grid_Generator* first_point) {
+ Coefficient& divisor,
+ const Grid_Generator* first_point) {
PPL_ASSERT(divisor >= 0);
if (sys.space_dimension() > 0 && divisor > 0) {
- dimension_type num_rows = sys.num_rows();
+ const dimension_type num_rows = sys.num_rows();
if (first_point != 0)
lcm_assign(divisor, divisor, (*first_point).divisor());
@@ -615,17 +617,17 @@ PPL::Grid::normalize_divisors(Grid_Generator_System& sys,
// Move to the first point or parameter.
dimension_type row = 0;
while (sys[row].is_line())
- if (++row == num_rows)
- // All rows are lines.
- return;
+ if (++row == num_rows)
+ // All rows are lines.
+ return;
// Calculate the LCM of the given divisor and the divisor of
// every point or parameter.
while (row < num_rows) {
- const Grid_Generator& g = sys[row];
- if (g.is_parameter_or_point())
- lcm_assign(divisor, divisor, g.divisor());
- ++row;
+ const Grid_Generator& g = sys[row];
+ if (g.is_parameter_or_point())
+ lcm_assign(divisor, divisor, g.divisor());
+ ++row;
}
}
@@ -683,7 +685,7 @@ PPL::Grid::add_constraint_no_check(const Constraint& c) {
}
PPL_ASSERT(c.is_equality());
- Congruence cg(c);
+ const Congruence cg(c);
add_congruence_no_check(cg);
}
@@ -693,7 +695,7 @@ PPL::Grid::refine_no_check(const Constraint& c) {
PPL_ASSERT(space_dim >= c.space_dimension());
if (c.is_equality()) {
- Congruence cg(c);
+ const Congruence cg(c);
add_congruence_no_check(cg);
}
else if (c.is_inconsistent())
@@ -710,8 +712,8 @@ PPL::Grid::throw_invalid_argument(const char* method, const char* reason) {
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* other_name,
- dimension_type other_dim) const {
+ const char* other_name,
+ dimension_type other_dim) const {
std::ostringstream s;
s << "PPL::Grid::" << method << ":\n"
<< "this->space_dimension() == " << space_dimension() << ", "
@@ -721,71 +723,71 @@ PPL::Grid::throw_dimension_incompatible(const char* method,
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* gr_name,
- const Grid& gr) const {
+ const char* gr_name,
+ const Grid& gr) const {
throw_dimension_incompatible(method, gr_name, gr.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const {
+ const char* le_name,
+ const Linear_Expression& le) const {
throw_dimension_incompatible(method, le_name, le.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* cg_name,
- const Congruence& cg) const {
+ const char* cg_name,
+ const Congruence& cg) const {
throw_dimension_incompatible(method, cg_name, cg.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const {
+ const char* c_name,
+ const Constraint& c) const {
throw_dimension_incompatible(method, c_name, c.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Grid_Generator& g) const {
+ const char* g_name,
+ const Grid_Generator& g) const {
throw_dimension_incompatible(method, g_name, g.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const {
+ const char* g_name,
+ const Generator& g) const {
throw_dimension_incompatible(method, g_name, g.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* cgs_name,
- const Congruence_System& cgs) const {
+ const char* cgs_name,
+ const Congruence_System& cgs) const {
throw_dimension_incompatible(method, cgs_name, cgs.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const {
+ const char* cs_name,
+ const Constraint_System& cs) const {
throw_dimension_incompatible(method, cs_name, cs.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* gs_name,
- const Grid_Generator_System& gs) const {
+ const char* gs_name,
+ const Grid_Generator_System& gs) const {
throw_dimension_incompatible(method, gs_name, gs.space_dimension());
}
void
PPL::Grid::throw_dimension_incompatible(const char* method,
- const char* var_name,
- const Variable var) const {
+ const char* var_name,
+ const Variable var) const {
std::ostringstream s;
s << "PPL::Grid::" << method << ":" << std::endl
<< "this->space_dimension() == " << space_dimension() << ", "
@@ -796,7 +798,7 @@ PPL::Grid::throw_dimension_incompatible(const char* method,
void
PPL::Grid::
throw_dimension_incompatible(const char* method,
- dimension_type required_space_dim) const {
+ dimension_type required_space_dim) const {
std::ostringstream s;
s << "PPL::Grid::" << method << ":" << std::endl
<< "this->space_dimension() == " << space_dimension()
@@ -806,7 +808,7 @@ throw_dimension_incompatible(const char* method,
void
PPL::Grid::throw_invalid_constraint(const char* method,
- const char* c_name) {
+ const char* c_name) {
std::ostringstream s;
s << "PPL::Grid::" << method << ":" << std::endl
<< c_name << " is not an equality constraint.";
@@ -815,7 +817,7 @@ PPL::Grid::throw_invalid_constraint(const char* method,
void
PPL::Grid::throw_invalid_constraints(const char* method,
- const char* cs_name) {
+ const char* cs_name) {
std::ostringstream s;
s << "PPL::Grid::" << method << ":" << std::endl
<< "the constraint system " << cs_name
@@ -825,7 +827,7 @@ PPL::Grid::throw_invalid_constraints(const char* method,
void
PPL::Grid::throw_invalid_generator(const char* method,
- const char* g_name) {
+ const char* g_name) {
std::ostringstream s;
s << "PPL::Grid::" << method << ":" << std::endl
<< "*this is an empty grid and "
@@ -835,7 +837,7 @@ PPL::Grid::throw_invalid_generator(const char* method,
void
PPL::Grid::throw_invalid_generators(const char* method,
- const char* gs_name) {
+ const char* gs_name) {
std::ostringstream s;
s << "PPL::Grid::" << method << ":" << std::endl
<< "*this is an empty grid and" << std::endl
diff --git a/src/Grid_public.cc b/src/Grid_public.cc
index c02c347..d2dcea2 100644
--- a/src/Grid_public.cc
+++ b/src/Grid_public.cc
@@ -1,6 +1,6 @@
/* Grid class implementation (non-inline public functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,11 +22,11 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid.defs.hh"
-#include "Topology.types.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "Polyhedron.defs.hh"
+#include "Grid_defs.hh"
+#include "Topology_types.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "Polyhedron_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -71,15 +71,15 @@ PPL::Grid::Grid(const Constraint_System& cs)
if (space_dim == 0) {
// See if an inconsistent constraint has been passed.
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
if (i->is_inconsistent()) {
- // Inconsistent constraint found: the grid is empty.
- status.set_empty();
- // Insert the zero dim false congruence system into `con_sys'.
- // `gen_sys' is already in empty form.
- con_sys.insert(Congruence::zero_dim_false());
- PPL_ASSERT(OK());
- return;
+ // Inconsistent constraint found: the grid is empty.
+ status.set_empty();
+ // Insert the zero dim false congruence system into `con_sys'.
+ // `gen_sys' is already in empty form.
+ con_sys.insert(Congruence::zero_dim_false());
+ PPL_ASSERT(OK());
+ return;
}
set_zero_dim_univ();
PPL_ASSERT(OK());
@@ -88,7 +88,7 @@ PPL::Grid::Grid(const Constraint_System& cs)
Congruence_System cgs(cs.space_dimension());
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
if (i->is_equality())
cgs.insert(*i);
else
@@ -110,15 +110,15 @@ PPL::Grid::Grid(Constraint_System& cs, Recycle_Input)
if (space_dim == 0) {
// See if an inconsistent constraint has been passed.
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
if (i->is_inconsistent()) {
- // Inconsistent constraint found: the grid is empty.
- status.set_empty();
- // Insert the zero dim false congruence system into `con_sys'.
- // `gen_sys' is already in empty form.
- con_sys.insert(Congruence::zero_dim_false());
- PPL_ASSERT(OK());
- return;
+ // Inconsistent constraint found: the grid is empty.
+ status.set_empty();
+ // Insert the zero dim false congruence system into `con_sys'.
+ // `gen_sys' is already in empty form.
+ con_sys.insert(Congruence::zero_dim_false());
+ PPL_ASSERT(OK());
+ return;
}
set_zero_dim_univ();
PPL_ASSERT(OK());
@@ -127,7 +127,7 @@ PPL::Grid::Grid(Constraint_System& cs, Recycle_Input)
Congruence_System cgs(space_dim);
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
if (i->is_equality())
cgs.insert(*i);
else
@@ -162,7 +162,7 @@ PPL::Grid::Grid(const Polyhedron& ph,
return;
}
- bool use_constraints = ph.constraints_are_minimized()
+ const bool use_constraints = ph.constraints_are_minimized()
|| !ph.generators_are_up_to_date();
// Minimize the constraint description if it is needed and
@@ -367,10 +367,10 @@ PPL::Grid::relation_with(const Congruence& cg) const {
return Poly_Con_Relation::is_disjoint();
else if (cg.is_equality())
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
else if (cg.inhomogeneous_term() % cg.modulus() == 0)
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
}
if (!generators_are_up_to_date() && !update_generators())
@@ -381,8 +381,8 @@ PPL::Grid::relation_with(const Congruence& cg) const {
// Return one of the relations
// 'strictly_intersects' a strict subset of the grid points satisfy cg
- // 'is_included' every grid point satisfies cg
- // 'is_disjoint' cg and the grid occupy separate spaces.
+ // 'is_included' every grid point satisfies cg
+ // 'is_disjoint' cg and the grid occupy separate spaces.
// There is always a point.
@@ -407,14 +407,14 @@ PPL::Grid::relation_with(const Congruence& cg) const {
case Grid_Generator::POINT:
if (cg.is_proper_congruence())
- sp %= div;
+ sp %= div;
if (sp == 0) {
- // The point satisfies the congruence.
- if (point_sp == 0)
- // Any previous points satisfied the congruence.
- known_to_intersect = true;
- else
- return Poly_Con_Relation::strictly_intersects();
+ // The point satisfies the congruence.
+ if (point_sp == 0)
+ // Any previous points satisfied the congruence.
+ known_to_intersect = true;
+ else
+ return Poly_Con_Relation::strictly_intersects();
}
else {
if (point_sp == 0) {
@@ -423,7 +423,7 @@ PPL::Grid::relation_with(const Congruence& cg) const {
// Assign `sp' to `point_sp' as `sp' is the scalar product
// of cg and a point g and is non-zero.
point_sp = sp;
- }
+ }
else {
// A previously considered point p failed to satisfy cg such that
// `point_sp' = `scalar_prod(p, cg)'
@@ -445,11 +445,11 @@ PPL::Grid::relation_with(const Congruence& cg) const {
case Grid_Generator::PARAMETER:
if (cg.is_proper_congruence())
- sp %= (div * g.divisor());
+ sp %= (div * g.divisor());
if (sp == 0)
- // Parameter g satisfies the cg so the relation depends
- // entirely on the other generators.
- break;
+ // Parameter g satisfies the cg so the relation depends
+ // entirely on the other generators.
+ break;
if (known_to_intersect)
// At least one point satisfies cg. However, the sum of such
// a point and the parameter g fails to satisfy cg (due to g).
@@ -527,7 +527,7 @@ PPL::Grid::relation_with(const Grid_Generator& g) const {
PPL::Poly_Gen_Relation
PPL::Grid::relation_with(const Generator& g) const {
- dimension_type g_space_dim = g.space_dimension();
+ const dimension_type g_space_dim = g.space_dimension();
// Dimension-compatibility check.
if (space_dim < g_space_dim)
@@ -545,7 +545,7 @@ PPL::Grid::relation_with(const Generator& g) const {
if (!congruences_are_up_to_date())
update_congruences();
- Linear_Expression expr(g);
+ const Linear_Expression expr(g.expression());
Grid_Generator gg(grid_point());
if (g.is_point() || g.is_closure_point())
// Points and closure points are converted to grid points.
@@ -568,7 +568,7 @@ PPL::Grid::relation_with(const Constraint& c) const {
throw_dimension_incompatible("relation_with(c)", "c", c);
if (c.is_equality()) {
- Congruence cg(c);
+ const Congruence cg(c);
return relation_with(cg);
}
@@ -580,15 +580,15 @@ PPL::Grid::relation_with(const Constraint& c) const {
if (space_dim == 0) {
if (c.is_inconsistent())
if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
- // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
- // thus, the zero-dimensional point also saturates it.
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
+ // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
+ // thus, the zero-dimensional point also saturates it.
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
else
- return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_disjoint();
else if (c.inhomogeneous_term() == 0)
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
else
// The zero-dimensional point saturates
// neither the positivity constraint 1 >= 0,
@@ -604,8 +604,8 @@ PPL::Grid::relation_with(const Constraint& c) const {
// Return one of the relations
// 'strictly_intersects' a strict subset of the grid points satisfy c
- // 'is_included' every grid point satisfies c
- // 'is_disjoint' c and the grid occupy separate spaces.
+ // 'is_included' every grid point satisfies c
+ // 'is_disjoint' c and the grid occupy separate spaces.
// There is always a point.
@@ -619,26 +619,26 @@ PPL::Grid::relation_with(const Constraint& c) const {
switch (g.type()) {
case Grid_Generator::POINT:
{
- if (first_point == 0) {
- first_point = &g;
- const int sign = Scalar_Products::sign(c, g);
- if (sign == 0)
+ if (first_point == 0) {
+ first_point = &g;
+ const int sign = Scalar_Products::sign(c, g);
+ if (sign == 0)
point_saturates = !c.is_strict_inequality();
- else if (sign > 0)
+ else if (sign > 0)
point_is_included = !c.is_equality();
- break;
- }
- // Not the first point: convert `g' to be a parameter
- // and fall through into the parameter case.
- Grid_Generator& gen = const_cast<Grid_Generator&>(g);
- const Grid_Generator& point = *first_point;
+ break;
+ }
+ // Not the first point: convert `g' to be a parameter
+ // and fall through into the parameter case.
+ Grid_Generator& gen = const_cast<Grid_Generator&>(g);
+ const Grid_Generator& point = *first_point;
const Coefficient& p_div = point.divisor();
const Coefficient& g_div = gen.divisor();
gen.expr.linear_combine(point.expr, p_div, -g_div,
1, gen.expr.space_dimension());
gen.expr.set_inhomogeneous_term(g_div * p_div);
gen.strong_normalize();
- gen.set_is_parameter();
+ gen.set_is_parameter();
PPL_ASSERT(gen.OK());
}
// Intentionally fall through.
@@ -747,7 +747,7 @@ PPL::Grid::is_bounded() const {
for (dimension_type row = gen_sys.num_rows(); row-- > 0; ) {
const Grid_Generator& gen = gen_sys[row];
if (gen.is_line_or_parameter() || gen != first_point)
- return false;
+ return false;
}
}
return true;
@@ -823,11 +823,11 @@ PPL::Grid::constrains(const Variable var) const {
// Count the number of lines (they are linearly independent).
dimension_type num_lines = 0;
for (dimension_type i = gen_sys.num_rows(); i-- > 0; )
- if (gen_sys[i].is_line())
- ++num_lines;
+ if (gen_sys[i].is_line())
+ ++num_lines;
if (num_lines == space_dim)
- return false;
+ return false;
}
// Scan generators: perhaps we will find line(var).
@@ -882,9 +882,9 @@ PPL::Grid::OK(bool check_not_empty) const {
if (con_sys.space_dimension() != space_dim) {
#ifndef NDEBUG
cerr << "The grid is in a space of dimension " << space_dim
- << " while the system of congruences is in a space of dimension "
- << con_sys.space_dimension()
- << endl;
+ << " while the system of congruences is in a space of dimension "
+ << con_sys.space_dimension()
+ << endl;
#endif
goto fail;
}
@@ -897,10 +897,10 @@ PPL::Grid::OK(bool check_not_empty) const {
if (space_dim == 0) {
if (con_sys.has_no_rows())
if (gen_sys.num_rows() == 1 && gen_sys[0].is_point())
- return true;
+ return true;
#ifndef NDEBUG
cerr << "Zero-dimensional grid should have an empty congruence" << endl
- << "system and a generator system of a single point." << endl;
+ << "system and a generator system of a single point." << endl;
#endif
goto fail;
}
@@ -910,8 +910,8 @@ PPL::Grid::OK(bool check_not_empty) const {
if (!congruences_are_up_to_date() && !generators_are_up_to_date()) {
#ifndef NDEBUG
cerr << "Grid not empty, not zero-dimensional" << endl
- << "and with neither congruences nor generators up-to-date!"
- << endl;
+ << "and with neither congruences nor generators up-to-date!"
+ << endl;
#endif
goto fail;
}
@@ -928,96 +928,96 @@ PPL::Grid::OK(bool check_not_empty) const {
if (congruences_are_up_to_date())
if (con_sys.space_dimension() != space_dim) {
#ifndef NDEBUG
- cerr << "Incompatible size! (con_sys and space_dim)"
- << endl;
+ cerr << "Incompatible size! (con_sys and space_dim)"
+ << endl;
#endif
- goto fail;
+ goto fail;
}
if (generators_are_up_to_date()) {
if (gen_sys.space_dimension() != space_dim) {
#ifndef NDEBUG
- cerr << "Incompatible size! (gen_sys and space_dim)"
- << endl;
+ cerr << "Incompatible size! (gen_sys and space_dim)"
+ << endl;
#endif
- goto fail;
+ goto fail;
}
// A non-empty system of generators describing a grid is valid
// if and only if it contains a point.
if (!gen_sys.has_no_rows() && !gen_sys.has_points()) {
#ifndef NDEBUG
- cerr << "Non-empty generator system declared up-to-date "
- << "has no points!"
- << endl;
+ cerr << "Non-empty generator system declared up-to-date "
+ << "has no points!"
+ << endl;
#endif
- goto fail;
+ goto fail;
}
if (generators_are_minimized()) {
- Grid_Generator_System gs = gen_sys;
+ Grid_Generator_System gs = gen_sys;
- if (dim_kinds.size() != num_columns) {
+ if (dim_kinds.size() != num_columns) {
#ifndef NDEBUG
- cerr << "Size of dim_kinds should equal the number of columns."
- << endl;
+ cerr << "Size of dim_kinds should equal the number of columns."
+ << endl;
#endif
- goto fail;
- }
+ goto fail;
+ }
- if (!upper_triangular(gs, dim_kinds)) {
+ if (!upper_triangular(gs, dim_kinds)) {
#ifndef NDEBUG
- cerr << "Reduced generators should be upper triangular."
- << endl;
+ cerr << "Reduced generators should be upper triangular."
+ << endl;
#endif
- goto fail;
- }
-
- // Check that dim_kinds corresponds to the row kinds in gen_sys.
- for (dimension_type dim = space_dim,
- row = gen_sys.num_rows(); dim > 0; --dim) {
- if (dim_kinds[dim] == GEN_VIRTUAL)
- goto ok;
- if (gen_sys[--row].is_parameter_or_point()
- && dim_kinds[dim] == PARAMETER)
- goto ok;
- PPL_ASSERT(gen_sys[row].is_line());
- if (dim_kinds[dim] == LINE)
- goto ok;
+ goto fail;
+ }
+
+ // Check that dim_kinds corresponds to the row kinds in gen_sys.
+ for (dimension_type dim = space_dim,
+ row = gen_sys.num_rows(); dim > 0; --dim) {
+ if (dim_kinds[dim] == GEN_VIRTUAL)
+ goto ok;
+ if (gen_sys[--row].is_parameter_or_point()
+ && dim_kinds[dim] == PARAMETER)
+ goto ok;
+ PPL_ASSERT(gen_sys[row].is_line());
+ if (dim_kinds[dim] == LINE)
+ goto ok;
#ifndef NDEBUG
- cerr << "Kinds in dim_kinds should match those in gen_sys."
- << endl;
+ cerr << "Kinds in dim_kinds should match those in gen_sys."
+ << endl;
#endif
- goto fail;
- ok:
- PPL_ASSERT(row <= dim);
- }
-
- // A reduced generator system must be the same as a temporary
- // reduced copy.
- Dimension_Kinds dim_kinds_copy = dim_kinds;
- // `gs' is minimized and marked_empty returned false, so `gs'
- // should contain rows.
- PPL_ASSERT(!gs.has_no_rows());
- simplify(gs, dim_kinds_copy);
- // gs contained rows before being reduced, so it should
- // contain at least a single point afterward.
- PPL_ASSERT(!gs.has_no_rows());
- for (dimension_type row = gen_sys.num_rows(); row-- > 0; ) {
- const Grid_Generator& g = gs[row];
- const Grid_Generator& g_copy = gen_sys[row];
- if (g.is_equal_to(g_copy))
- continue;
+ goto fail;
+ ok:
+ PPL_ASSERT(row <= dim);
+ }
+
+ // A reduced generator system must be the same as a temporary
+ // reduced copy.
+ Dimension_Kinds dim_kinds_copy = dim_kinds;
+ // `gs' is minimized and marked_empty returned false, so `gs'
+ // should contain rows.
+ PPL_ASSERT(!gs.has_no_rows());
+ simplify(gs, dim_kinds_copy);
+ // gs contained rows before being reduced, so it should
+ // contain at least a single point afterward.
+ PPL_ASSERT(!gs.has_no_rows());
+ for (dimension_type row = gen_sys.num_rows(); row-- > 0; ) {
+ const Grid_Generator& g = gs[row];
+ const Grid_Generator& g_copy = gen_sys[row];
+ if (g.is_equal_to(g_copy))
+ continue;
#ifndef NDEBUG
- cerr << "Generators are declared minimized,"
- " but they change under reduction.\n"
- << "Here is the generator system:\n";
- gen_sys.ascii_dump(cerr);
- cerr << "and here is the minimized form of the temporary copy:\n";
- gs.ascii_dump(cerr);
+ cerr << "Generators are declared minimized,"
+ " but they change under reduction.\n"
+ << "Here is the generator system:\n";
+ gen_sys.ascii_dump(cerr);
+ cerr << "and here is the minimized form of the temporary copy:\n";
+ gs.ascii_dump(cerr);
#endif
- goto fail;
- }
+ goto fail;
+ }
}
} // if (congruences_are_up_to_date())
@@ -1039,12 +1039,12 @@ PPL::Grid::OK(bool check_not_empty) const {
if (!tmp_gr.update_generators()) {
if (check_not_empty) {
- // Want to know the satisfiability of the congruences.
+ // Want to know the satisfiability of the congruences.
#ifndef NDEBUG
- cerr << "Unsatisfiable system of congruences!"
- << endl;
+ cerr << "Unsatisfiable system of congruences!"
+ << endl;
#endif
- goto fail;
+ goto fail;
}
// The grid is empty, all checks are done.
return true;
@@ -1054,9 +1054,9 @@ PPL::Grid::OK(bool check_not_empty) const {
// A reduced congruence system must be lower triangular.
if (!lower_triangular(con_sys, dim_kinds)) {
#ifndef NDEBUG
- cerr << "Reduced congruences should be lower triangular." << endl;
+ cerr << "Reduced congruences should be lower triangular." << endl;
#endif
- goto fail;
+ goto fail;
}
// If the congruences are minimized, all the elements in the
@@ -1064,38 +1064,38 @@ PPL::Grid::OK(bool check_not_empty) const {
// minimized system `cs_copy'.
if (!con_sys.is_equal_to(cs_copy)) {
#ifndef NDEBUG
- cerr << "Congruences are declared minimized, but they change under reduction!"
- << endl
- << "Here is the minimized form of the congruence system:"
- << endl;
- cs_copy.ascii_dump(cerr);
- cerr << endl;
+ cerr << "Congruences are declared minimized, but they change under reduction!"
+ << endl
+ << "Here is the minimized form of the congruence system:"
+ << endl;
+ cs_copy.ascii_dump(cerr);
+ cerr << endl;
#endif
- goto fail;
+ goto fail;
}
if (dim_kinds.size() != con_sys.space_dimension() + 1 /* inhomogeneous term */) {
#ifndef NDEBUG
- cerr << "Size of dim_kinds should equal the number of columns."
- << endl;
+ cerr << "Size of dim_kinds should equal the number of columns."
+ << endl;
#endif
- goto fail;
+ goto fail;
}
// Check that dim_kinds corresponds to the row kinds in con_sys.
for (dimension_type dim = space_dim, row = 0; dim > 0; --dim) {
- if (dim_kinds[dim] == CON_VIRTUAL)
- continue;
- if (con_sys[row++].is_proper_congruence()
- && dim_kinds[dim] == PROPER_CONGRUENCE)
- continue;
- PPL_ASSERT(con_sys[row-1].is_equality());
- if (dim_kinds[dim] == EQUALITY)
- continue;
+ if (dim_kinds[dim] == CON_VIRTUAL)
+ continue;
+ if (con_sys[row++].is_proper_congruence()
+ && dim_kinds[dim] == PROPER_CONGRUENCE)
+ continue;
+ PPL_ASSERT(con_sys[row-1].is_equality());
+ if (dim_kinds[dim] == EQUALITY)
+ continue;
#ifndef NDEBUG
- cerr << "Kinds in dim_kinds should match those in con_sys." << endl;
+ cerr << "Kinds in dim_kinds should match those in con_sys." << endl;
#endif
- goto fail;
+ goto fail;
}
}
}
@@ -1139,7 +1139,7 @@ PPL::Grid::add_grid_generator(const Grid_Generator& g) {
// that can be created.
if (marked_empty()) {
if (g.is_parameter())
- throw_invalid_generator("add_grid_generator(g)", "g");
+ throw_invalid_generator("add_grid_generator(g)", "g");
set_zero_dim_univ();
}
PPL_ASSERT(OK());
@@ -1294,7 +1294,7 @@ PPL::Grid::refine_with_constraints(const Constraint_System& cs) {
throw_dimension_incompatible("refine_with_constraints(cs)", "cs", cs);
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
refine_no_check(*i);
}
@@ -1434,7 +1434,7 @@ PPL::Grid::upper_bound_assign(const Grid& y) {
bool
PPL::Grid::upper_bound_assign_if_exact(const Grid& y) {
- Grid& x = *this;
+ const Grid& x = *this;
// Dimension-compatibility check.
if (x.space_dim != y.space_dim)
@@ -1490,7 +1490,7 @@ PPL::Grid::difference_assign(const Grid& y) {
const Congruence_System& y_cgs = y.congruences();
for (Congruence_System::const_iterator i = y_cgs.begin(),
- y_cgs_end = y_cgs.end(); i != y_cgs_end; ++i) {
+ y_cgs_end = y_cgs.end(); i != y_cgs_end; ++i) {
const Congruence& cg = *i;
// The 2-complement cg2 of cg = ((e %= 0) / m) is the congruence
@@ -1509,7 +1509,7 @@ PPL::Grid::difference_assign(const Grid& y) {
continue;
if (cg.is_proper_congruence()) {
- const Linear_Expression e = Linear_Expression(cg);
+ const Linear_Expression e(cg.expression());
// Congruence cg is ((e %= 0) / m).
const Coefficient& m = cg.modulus();
// If x is included in the grid defined by the congruences cg
@@ -1517,11 +1517,11 @@ PPL::Grid::difference_assign(const Grid& y) {
// (2e %= 0) / m) then add the 2-complement to the potential
// result.
if (x.relation_with((2*e %= 0) / m)
- .implies(Poly_Con_Relation::is_included())) {
- Grid z = x;
- z.add_congruence_no_check((2*e %= m) / (2*m));
- new_grid.upper_bound_assign(z);
- continue;
+ .implies(Poly_Con_Relation::is_included())) {
+ Grid z = x;
+ z.add_congruence_no_check((2*e %= m) / (2*m));
+ new_grid.upper_bound_assign(z);
+ continue;
}
}
return;
@@ -1584,21 +1584,21 @@ PPL::Grid::simplify_using_context_assign(const Grid& y) {
// Found: we obtain a congruence `c' contradicting the one we
// found, and assign to `x' the grid `gr' with `c' as
// the only congruence.
- const Linear_Expression le(y_con_sys_i);
+ const Linear_Expression le(y_con_sys_i.expression());
if (y_con_sys_i.is_equality()) {
gr.refine_no_check(le == 1);
break;
- }
+ }
else {
- const Coefficient& y_modulus_i = y_con_sys_i.modulus();
- if (y_modulus_i > 1)
- gr.refine_no_check(le == 1);
- else {
- Linear_Expression le2 = le;
+ const Coefficient& y_modulus_i = y_con_sys_i.modulus();
+ if (y_modulus_i > 1)
+ gr.refine_no_check(le == 1);
+ else {
+ Linear_Expression le2 = le;
le2 *= 2;
- gr.refine_no_check(le2 == y_modulus_i);
- }
- break;
+ gr.refine_no_check(le2 == y_modulus_i);
+ }
+ break;
}
}
}
@@ -1668,59 +1668,59 @@ PPL::Grid::simplify_using_context_assign(const Grid& y) {
for (dimension_type i = 0, j = 0; i < x_cs_num_rows; ++i) {
if (!redundant_by_y[i]) {
- const Congruence& c = x_cs[i];
- const Coefficient& modulus = c.modulus();
- div = modulus;
+ const Congruence& c = x_cs[i];
+ const Coefficient& modulus = c.modulus();
+ div = modulus;
const Grid_Generator_System& y_gs = y.gen_sys;
- dimension_type num_ruled_out_generators = 0;
- for (Grid_Generator_System::const_iterator k = y_gs.begin(),
- y_gs_end = y_gs.end(); k != y_gs_end; ++k) {
- const Grid_Generator& g = *k;
- // If the generator is not to be ruled out,
- // it must saturate the congruence.
- Scalar_Products::assign(sp, c, g);
- // If `c' is a proper congruence the scalar product must be
- // reduced modulo a (possibly scaled) modulus.
- if (c.is_proper_congruence()) {
- // If `g' is a parameter the congruence modulus must be scaled
- // up by the divisor of the generator.
- if (g.is_parameter())
- sp %= (div * g.divisor());
- else
- if (g.is_point())
- sp %= div;
- }
- if (sp == 0)
- continue;
- ++num_ruled_out_generators;
- }
- ruled_out_vec[j].congruence_index = i;
- ruled_out_vec[j].num_ruled_out = num_ruled_out_generators;
- ++j;
+ dimension_type num_ruled_out_generators = 0;
+ for (Grid_Generator_System::const_iterator k = y_gs.begin(),
+ y_gs_end = y_gs.end(); k != y_gs_end; ++k) {
+ const Grid_Generator& g = *k;
+ // If the generator is not to be ruled out,
+ // it must saturate the congruence.
+ Scalar_Products::assign(sp, c, g);
+ // If `c' is a proper congruence the scalar product must be
+ // reduced modulo a (possibly scaled) modulus.
+ if (c.is_proper_congruence()) {
+ // If `g' is a parameter the congruence modulus must be scaled
+ // up by the divisor of the generator.
+ if (g.is_parameter())
+ sp %= (div * g.divisor());
+ else
+ if (g.is_point())
+ sp %= div;
+ }
+ if (sp == 0)
+ continue;
+ ++num_ruled_out_generators;
+ }
+ ruled_out_vec[j].congruence_index = i;
+ ruled_out_vec[j].num_ruled_out = num_ruled_out_generators;
+ ++j;
}
}
std::sort(ruled_out_vec.begin(), ruled_out_vec.end(),
- Ruled_Out_Less_Than());
+ Ruled_Out_Less_Than());
- bool empty_intersection = (!z.minimize());
+ const bool empty_intersection = (!z.minimize());
// Add the congruences in the "ruled out" order to `w'
// until the result is the intersection.
for (std::vector<Ruled_Out_Pair>::const_iterator
- j = ruled_out_vec.begin(), ruled_out_vec_end = ruled_out_vec.end();
- j != ruled_out_vec_end;
- ++j) {
+ j = ruled_out_vec.begin(), ruled_out_vec_end = ruled_out_vec.end();
+ j != ruled_out_vec_end;
+ ++j) {
const Congruence& c = x_cs[j->congruence_index];
result_cs.insert(c);
w.add_congruence(c);
if ((empty_intersection && w.is_empty())
- || (!empty_intersection && w.is_included_in(z))) {
- Grid result_gr(x.space_dim, UNIVERSE);
- result_gr.add_congruences(result_cs);
- x.m_swap(result_gr);
- PPL_ASSERT(x.OK());
- return !empty_intersection;
+ || (!empty_intersection && w.is_included_in(z))) {
+ Grid result_gr(x.space_dim, UNIVERSE);
+ result_gr.add_congruences(result_cs);
+ x.m_swap(result_gr);
+ PPL_ASSERT(x.OK());
+ return !empty_intersection;
}
}
// Cannot exit from here.
@@ -1737,8 +1737,8 @@ PPL::Grid::simplify_using_context_assign(const Grid& y) {
void
PPL::Grid::affine_image(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("affine_image(v, e, d)", "d == 0");
@@ -1765,9 +1765,9 @@ PPL::Grid::affine_image(const Variable var,
// Grid_Generator_System::affine_image() requires the third argument
// to be a positive Coefficient.
if (denominator > 0)
- gen_sys.affine_image(var, expr, denominator);
+ gen_sys.affine_image(var, expr, denominator);
else
- gen_sys.affine_image(var, -expr, -denominator);
+ gen_sys.affine_image(var, -expr, -denominator);
clear_generators_minimized();
// Strong normalization in gs::affine_image may have modified
// divisors.
@@ -1779,17 +1779,17 @@ PPL::Grid::affine_image(const Variable var,
// we exchange the roles of `expr[var_space_dim]' and `denominator'.
Linear_Expression inverse;
if (expr_var > 0) {
- inverse = -expr;
- inverse.set_coefficient(var, denominator);
- con_sys.affine_preimage(var, inverse, expr_var);
+ inverse = -expr;
+ inverse.set_coefficient(var, denominator);
+ con_sys.affine_preimage(var, inverse, expr_var);
}
else {
- // The new denominator is negative: we negate everything once
- // more, as Congruence_System::affine_preimage() requires the
- // third argument to be positive.
- inverse = expr;
- inverse.set_coefficient(var, -denominator);
- con_sys.affine_preimage(var, inverse, -expr_var);
+ // The new denominator is negative: we negate everything once
+ // more, as Congruence_System::affine_preimage() requires the
+ // third argument to be positive.
+ inverse = expr;
+ inverse.set_coefficient(var, -denominator);
+ con_sys.affine_preimage(var, inverse, -expr_var);
}
clear_congruences_minimized();
}
@@ -1803,9 +1803,9 @@ PPL::Grid::affine_image(const Variable var,
// Grid_Generator_System::affine_image() requires the third argument
// to be a positive Coefficient.
if (denominator > 0)
- gen_sys.affine_image(var, expr, denominator);
+ gen_sys.affine_image(var, expr, denominator);
else
- gen_sys.affine_image(var, -expr, -denominator);
+ gen_sys.affine_image(var, -expr, -denominator);
clear_congruences_up_to_date();
clear_generators_minimized();
@@ -1820,8 +1820,8 @@ PPL::Grid::affine_image(const Variable var,
void
PPL::Grid::
affine_preimage(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
@@ -1848,9 +1848,9 @@ affine_preimage(const Variable var,
// Congruence_System::affine_preimage() requires the third argument
// to be a positive Coefficient.
if (denominator > 0)
- con_sys.affine_preimage(var, expr, denominator);
+ con_sys.affine_preimage(var, expr, denominator);
else
- con_sys.affine_preimage(var, -expr, -denominator);
+ con_sys.affine_preimage(var, -expr, -denominator);
clear_congruences_minimized();
}
if (generators_are_up_to_date()) {
@@ -1859,17 +1859,17 @@ affine_preimage(const Variable var,
// we exchange the roles of `expr[var_space_dim]' and `denominator'.
Linear_Expression inverse;
if (expr_var > 0) {
- inverse = -expr;
- inverse.set_coefficient(var, denominator);
- gen_sys.affine_image(var, inverse, expr_var);
+ inverse = -expr;
+ inverse.set_coefficient(var, denominator);
+ gen_sys.affine_image(var, inverse, expr_var);
}
else {
- // The new denominator is negative: we negate everything once
- // more, as Grid_Generator_System::affine_image() requires the
- // third argument to be positive.
- inverse = expr;
+ // The new denominator is negative: we negate everything once
+ // more, as Grid_Generator_System::affine_image() requires the
+ // third argument to be positive.
+ inverse = expr;
inverse.set_coefficient(var, -denominator);
- gen_sys.affine_image(var, inverse, -expr_var);
+ gen_sys.affine_image(var, inverse, -expr_var);
}
clear_generators_minimized();
}
@@ -1895,10 +1895,10 @@ affine_preimage(const Variable var,
void
PPL::Grid::
generalized_affine_image(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator,
- Coefficient_traits::const_reference modulus) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator,
+ Coefficient_traits::const_reference modulus) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("generalized_affine_image(v, r, e, d, m)",
@@ -1910,12 +1910,12 @@ generalized_affine_image(const Variable var,
const dimension_type expr_space_dim = expr.space_dimension();
if (space_dim < expr_space_dim)
throw_dimension_incompatible("generalized_affine_image(v, r, e, d, m)",
- "e", expr);
+ "e", expr);
// `var' should be one of the dimensions of the grid.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("generalized_affine_image(v, r, e, d, m)",
- "v", var);
+ "v", var);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_image(v, r, e, d, m)",
@@ -1979,26 +1979,26 @@ generalized_affine_image(const Variable var,
void
PPL::Grid::
generalized_affine_preimage(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator,
- Coefficient_traits::const_reference modulus) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator,
+ Coefficient_traits::const_reference modulus) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("generalized_affine_preimage(v, r, e, d, m)",
- "d == 0");
+ "d == 0");
// The dimension of `expr' should be at most the dimension of
// `*this'.
const dimension_type expr_space_dim = expr.space_dimension();
if (space_dim < expr_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d, m)",
- "e", expr);
+ "e", expr);
// `var' should be one of the dimensions of the grid.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d, m)",
- "v", var);
+ "v", var);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_preimage(v, r, e, d, m)",
@@ -2040,16 +2040,16 @@ generalized_affine_preimage(const Variable var,
// computed as the image of its inverse relation.
const Coefficient& var_coefficient = expr.coefficient(var);
if (var_space_dim <= expr_space_dim && var_coefficient != 0) {
- Linear_Expression inverse_expr
+ const Linear_Expression inverse_expr
= expr - (denominator + var_coefficient) * var;
PPL_DIRTY_TEMP_COEFFICIENT(inverse_denominator);
neg_assign(inverse_denominator, var_coefficient);
if (modulus < 0)
generalized_affine_image(var, EQUAL, inverse_expr, inverse_denominator,
- - modulus);
+ - modulus);
else
generalized_affine_image(var, EQUAL, inverse_expr, inverse_denominator,
- modulus);
+ modulus);
return;
}
@@ -2076,22 +2076,22 @@ generalized_affine_preimage(const Variable var,
void
PPL::Grid::
generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs,
- Coefficient_traits::const_reference modulus) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs,
+ Coefficient_traits::const_reference modulus) {
// Dimension-compatibility checks.
// The dimension of `lhs' should be at most the dimension of
// `*this'.
dimension_type lhs_space_dim = lhs.space_dimension();
if (space_dim < lhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2, m)",
- "e1", lhs);
+ "e1", lhs);
// The dimension of `rhs' should be at most the dimension of
// `*this'.
const dimension_type rhs_space_dim = rhs.space_dimension();
if (space_dim < rhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2, m)",
- "e2", rhs);
+ "e2", rhs);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_image(e1, r, e2, m)",
@@ -2148,7 +2148,7 @@ generalized_affine_image(const Linear_Expression& lhs,
i_end = lhs.lower_bound(Variable(lhs_space_dim)); i != i_end; ++i)
new_lines.insert(grid_line(i.variable()));
- dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
+ const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
if (lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
// Some variables in `lhs' also occur in `rhs'.
// To ease the computation, add an additional dimension.
@@ -2208,19 +2208,19 @@ generalized_affine_image(const Linear_Expression& lhs,
void
PPL::Grid::
generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs,
- Coefficient_traits::const_reference modulus) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs,
+ Coefficient_traits::const_reference modulus) {
// The dimension of `lhs' must be at most the dimension of `*this'.
dimension_type lhs_space_dim = lhs.space_dimension();
if (space_dim < lhs_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2, m)",
- "lhs", lhs);
+ "lhs", lhs);
// The dimension of `rhs' must be at most the dimension of `*this'.
const dimension_type rhs_space_dim = rhs.space_dimension();
if (space_dim < rhs_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2, m)",
- "e2", rhs);
+ "e2", rhs);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_preimage(e1, r, e2, m)",
@@ -2277,7 +2277,8 @@ generalized_affine_preimage(const Linear_Expression& lhs,
i_end = lhs.lower_bound(Variable(lhs_space_dim)); i != i_end; ++i)
new_lines.insert(grid_line(i.variable()));
- dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
+ const dimension_type num_common_dims
+ = std::min(lhs_space_dim, rhs_space_dim);
if (lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
// Some variables in `lhs' also occur in `rhs'.
// To ease the computation, add an additional dimension.
@@ -2335,9 +2336,9 @@ generalized_affine_preimage(const Linear_Expression& lhs,
void
PPL::Grid::
bounded_affine_image(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
@@ -2348,17 +2349,17 @@ bounded_affine_image(const Variable var,
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "v", var);
+ "v", var);
// The dimension of `lb_expr' and `ub_expr' should not be
// greater than the dimension of `*this'.
const dimension_type lb_space_dim = lb_expr.space_dimension();
if (space_dim < lb_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "lb", lb_expr);
+ "lb", lb_expr);
const dimension_type ub_space_dim = ub_expr.space_dimension();
if (space_dim < ub_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "ub", ub_expr);
+ "ub", ub_expr);
// Any image of an empty grid is empty.
if (marked_empty())
@@ -2367,9 +2368,9 @@ bounded_affine_image(const Variable var,
// In all other cases, generalized_affine_preimage() must
// just add a line in the direction of var.
generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
PPL_ASSERT(OK());
}
@@ -2378,9 +2379,9 @@ bounded_affine_image(const Variable var,
void
PPL::Grid::
bounded_affine_preimage(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
@@ -2391,17 +2392,17 @@ bounded_affine_preimage(const Variable var,
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "v", var);
+ "v", var);
// The dimension of `lb_expr' and `ub_expr' should not be
// greater than the dimension of `*this'.
const dimension_type lb_space_dim = lb_expr.space_dimension();
if (space_dim < lb_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "lb", lb_expr);
+ "lb", lb_expr);
const dimension_type ub_space_dim = ub_expr.space_dimension();
if (space_dim < ub_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "ub", ub_expr);
+ "ub", ub_expr);
// Any preimage of an empty grid is empty.
if (marked_empty())
@@ -2410,9 +2411,9 @@ bounded_affine_preimage(const Variable var,
// In all other cases, generalized_affine_preimage() must
// just add a line in the direction of var.
generalized_affine_preimage(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
PPL_ASSERT(OK());
}
@@ -2443,7 +2444,7 @@ PPL::Grid::time_elapse_assign(const Grid& y) {
// At this point both generator systems are up-to-date.
Grid_Generator_System gs = y.gen_sys;
- dimension_type gs_num_rows = gs.num_rows();
+ const dimension_type gs_num_rows = gs.num_rows();
normalize_divisors(gs, gen_sys);
@@ -2520,7 +2521,7 @@ PPL::operator==(const Grid& x, const Grid& y) {
default:
if (x.is_included_in(y)) {
if (x.marked_empty())
- return y.is_empty();
+ return y.is_empty();
return y.is_included_in(x);
}
return false;
@@ -2578,8 +2579,8 @@ PPL::Grid::ascii_dump(std::ostream& s) const {
if ((generators_are_up_to_date() && generators_are_minimized())
|| (congruences_are_up_to_date() && congruences_are_minimized()))
for (Dimension_Kinds::const_iterator i = dim_kinds.begin();
- i != dim_kinds.end();
- ++i)
+ i != dim_kinds.end();
+ ++i)
s << " " << *i;
s << endl;
}
@@ -2630,12 +2631,12 @@ PPL::Grid::ascii_load(std::istream& s) {
if (!marked_empty()
&& ((generators_are_up_to_date() && generators_are_minimized())
- || (congruences_are_up_to_date() && congruences_are_minimized()))) {
+ || (congruences_are_up_to_date() && congruences_are_minimized()))) {
dim_kinds.resize(space_dim + 1);
for (Dimension_Kinds::size_type dim = 0; dim <= space_dim; ++dim) {
short unsigned int dim_kind;
if (!(s >> dim_kind))
- return false;
+ return false;
switch(dim_kind) {
case 0: dim_kinds[dim] = PARAMETER; break;
case 1: dim_kinds[dim] = LINE; break;
diff --git a/src/Grid_simplify.cc b/src/Grid_simplify.cc
index cb72c6e..b52a9e1 100644
--- a/src/Grid_simplify.cc
+++ b/src/Grid_simplify.cc
@@ -1,6 +1,6 @@
/* Grid class implementation: simplify().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,13 +23,13 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
#include "assert.hh"
-#include "Grid.defs.hh"
+#include "Grid_defs.hh"
namespace Parma_Polyhedra_Library {
void
Grid::reduce_line_with_line(Grid_Generator& row, Grid_Generator& pivot,
- dimension_type column) {
+ dimension_type column) {
Coefficient_traits::const_reference pivot_column = pivot.expr.get(column);
Coefficient_traits::const_reference row_column = row.expr.get(column);
PPL_ASSERT(pivot_column != 0);
@@ -56,8 +56,8 @@ Grid::reduce_line_with_line(Grid_Generator& row, Grid_Generator& pivot,
void
Grid::reduce_equality_with_equality(Congruence& row,
- const Congruence& pivot,
- const dimension_type column) {
+ const Congruence& pivot,
+ const dimension_type column) {
// Assume two equalities.
PPL_ASSERT(row.modulus() == 0 && pivot.modulus() == 0);
@@ -86,9 +86,9 @@ Grid::reduce_equality_with_equality(Congruence& row,
template <typename R>
void
Grid::reduce_pc_with_pc(R& row, R& pivot,
- const dimension_type column,
- const dimension_type start,
- const dimension_type end) {
+ const dimension_type column,
+ const dimension_type start,
+ const dimension_type end) {
PPL_ASSERT(start <= end);
PPL_ASSERT(start <= column);
PPL_ASSERT(column < end);
@@ -118,7 +118,7 @@ Grid::reduce_pc_with_pc(R& row, R& pivot,
// then add to it a (possibly negative) multiple of row such that
// the result in pivot[column] is the smallest possible positive
// integer.
- Linear_Expression old_pivot_e = pivot_e;
+ const Linear_Expression old_pivot_e = pivot_e;
pivot_e.linear_combine_lax(row_e, s, t, start, end);
PPL_ASSERT(pivot_e.get(column) == gcd);
row_e.linear_combine(old_pivot_e, reduced_pivot_col, -reduced_row_col, start, end);
@@ -127,9 +127,9 @@ Grid::reduce_pc_with_pc(R& row, R& pivot,
void
Grid::reduce_parameter_with_line(Grid_Generator& row,
- const Grid_Generator& pivot,
- const dimension_type column,
- Swapping_Vector<Grid_Generator>& rows,
+ const Grid_Generator& pivot,
+ const dimension_type column,
+ Swapping_Vector<Grid_Generator>& rows,
const dimension_type total_num_columns) {
// Very similar to reduce_congruence_with_equality below. Any
// change here may be needed there too.
@@ -187,9 +187,9 @@ Grid::reduce_parameter_with_line(Grid_Generator& row,
void
Grid::reduce_congruence_with_equality(Congruence& row,
- const Congruence& pivot,
- const dimension_type column,
- Swapping_Vector<Congruence>& sys) {
+ const Congruence& pivot,
+ const dimension_type column,
+ Swapping_Vector<Congruence>& sys) {
// Very similar to reduce_parameter_with_line above. Any change
// here may be needed there too.
PPL_ASSERT(row.modulus() > 0 && pivot.modulus() == 0);
@@ -235,7 +235,7 @@ Grid::reduce_congruence_with_equality(Congruence& row,
template <typename M, typename R>
bool
Grid::rows_are_zero(M& system, dimension_type first,
- dimension_type last, dimension_type row_size) {
+ dimension_type last, dimension_type row_size) {
while (first <= last) {
const R& row = system[first++];
if (!row.expr.all_zeroes(0, row_size))
@@ -286,40 +286,40 @@ Grid::simplify(Grid_Generator_System& ggs, Dimension_Kinds& dim_kinds) {
// Change the matrix so that the value at `dim' in every row
// following `pivot_index' is 0, leaving an equivalent grid.
while (row_index < num_rows - 1) {
- ++row_index;
+ ++row_index;
Grid_Generator& row = ggs.sys.rows[row_index];
- if (row.expr.get(dim) == 0)
- continue;
+ if (row.expr.get(dim) == 0)
+ continue;
- if (row.is_line())
- if (pivot_is_line)
- reduce_line_with_line(row, pivot, dim);
- else {
- PPL_ASSERT(pivot.is_parameter_or_point());
+ if (row.is_line())
+ if (pivot_is_line)
+ reduce_line_with_line(row, pivot, dim);
+ else {
+ PPL_ASSERT(pivot.is_parameter_or_point());
using std::swap;
- swap(row, pivot);
- pivot_is_line = true;
- reduce_parameter_with_line(row, pivot, dim, ggs.sys.rows,
+ swap(row, pivot);
+ pivot_is_line = true;
+ reduce_parameter_with_line(row, pivot, dim, ggs.sys.rows,
num_columns + 1);
- }
- else {
- PPL_ASSERT(row.is_parameter_or_point());
- if (pivot_is_line)
- reduce_parameter_with_line(row, pivot, dim, ggs.sys.rows,
+ }
+ else {
+ PPL_ASSERT(row.is_parameter_or_point());
+ if (pivot_is_line)
+ reduce_parameter_with_line(row, pivot, dim, ggs.sys.rows,
num_columns + 1);
- else {
- PPL_ASSERT(pivot.is_parameter_or_point());
- reduce_pc_with_pc(row, pivot, dim, dim, num_columns);
- }
- }
+ else {
+ PPL_ASSERT(pivot.is_parameter_or_point());
+ reduce_pc_with_pc(row, pivot, dim, dim, num_columns);
+ }
+ }
}
if (pivot_is_line)
- dim_kinds[dim] = LINE;
+ dim_kinds[dim] = LINE;
else {
- PPL_ASSERT(pivot.is_parameter_or_point());
- dim_kinds[dim] = PARAMETER;
+ PPL_ASSERT(pivot.is_parameter_or_point());
+ dim_kinds[dim] = PARAMETER;
}
// Since we are reducing the system to "strong minimal form",
@@ -329,7 +329,7 @@ Grid::simplify(Grid_Generator_System& ggs, Dimension_Kinds& dim_kinds) {
// Factor this row out of the preceding rows.
reduce_reduced<Grid_Generator_System>
- (ggs.sys.rows, dim, pivot_index, dim, num_columns - 1, dim_kinds);
+ (ggs.sys.rows, dim, pivot_index, dim, num_columns - 1, dim_kinds);
++pivot_index;
}
@@ -411,7 +411,7 @@ Grid::simplify(Congruence_System& cgs, Dimension_Kinds& dim_kinds) {
// Here row_index != num_rows.
if (row_index != pivot_index) {
using std::swap;
- swap(cgs.rows[row_index], cgs.rows[pivot_index]);
+ swap(cgs.rows[row_index], cgs.rows[pivot_index]);
}
Congruence& pivot = cgs.rows[pivot_index];
@@ -420,54 +420,54 @@ Grid::simplify(Congruence_System& cgs, Dimension_Kinds& dim_kinds) {
// Change the matrix so that the value at `dim' in every row
// following `pivot_index' is 0, leaving an equivalent grid.
while (row_index < num_rows - 1) {
- ++row_index;
- Congruence& row = cgs.rows[row_index];
- if (row.expr.get(dim) == 0)
- continue;
-
- if (row.is_equality()) {
- if (pivot_is_equality)
- reduce_equality_with_equality(row, pivot, dim);
- else {
- PPL_ASSERT(pivot.is_proper_congruence());
+ ++row_index;
+ Congruence& row = cgs.rows[row_index];
+ if (row.expr.get(dim) == 0)
+ continue;
+
+ if (row.is_equality()) {
+ if (pivot_is_equality)
+ reduce_equality_with_equality(row, pivot, dim);
+ else {
+ PPL_ASSERT(pivot.is_proper_congruence());
using std::swap;
- swap(row, pivot);
- pivot_is_equality = true;
- reduce_congruence_with_equality(row, pivot, dim, cgs.rows);
- }
+ swap(row, pivot);
+ pivot_is_equality = true;
+ reduce_congruence_with_equality(row, pivot, dim, cgs.rows);
+ }
+ }
+ else {
+ PPL_ASSERT(row.is_proper_congruence());
+ if (pivot_is_equality)
+ reduce_congruence_with_equality(row, pivot, dim, cgs.rows);
+ else {
+ PPL_ASSERT(pivot.is_proper_congruence());
+ reduce_pc_with_pc(row, pivot, dim, 0, dim + 1);
+ }
}
- else {
- PPL_ASSERT(row.is_proper_congruence());
- if (pivot_is_equality)
- reduce_congruence_with_equality(row, pivot, dim, cgs.rows);
- else {
- PPL_ASSERT(pivot.is_proper_congruence());
- reduce_pc_with_pc(row, pivot, dim, 0, dim + 1);
- }
- }
}
if (pivot_is_equality)
- dim_kinds[dim] = EQUALITY;
+ dim_kinds[dim] = EQUALITY;
else {
- PPL_ASSERT(pivot.is_proper_congruence());
- dim_kinds[dim] = PROPER_CONGRUENCE;
+ PPL_ASSERT(pivot.is_proper_congruence());
+ dim_kinds[dim] = PROPER_CONGRUENCE;
}
// Since we are reducing the system to "strong minimal form",
// ensure that a positive value follows the leading zeros.
if (pivot.expr.get(dim) < 0)
- pivot.expr.negate(0, dim + 1);
+ pivot.expr.negate(0, dim + 1);
// Factor this row out of the preceding ones.
reduce_reduced<Congruence_System>
- (cgs.rows, dim, pivot_index, 0, dim, dim_kinds, false);
+ (cgs.rows, dim, pivot_index, 0, dim, dim_kinds, false);
PPL_ASSERT(cgs.OK());
++pivot_index;
}
- } // end for (dimension_type dim = num_columns; dim-- > 0; )
+ }
if (pivot_index > 0) {
// If the last row is false then make it the equality 1 = 0, and
@@ -565,8 +565,8 @@ Grid::simplify(Congruence_System& cgs, Dimension_Kinds& dim_kinds) {
while (row_index-- > 0) {
const Congruence& row = cgs[row_index];
if (row.modulus() > 0) {
- new_last_row.set_modulus(row.modulus());
- break;
+ new_last_row.set_modulus(row.modulus());
+ break;
}
}
new_last_row.expr.set_inhomogeneous_term(new_last_row.modulus());
diff --git a/src/Grid_templates.hh b/src/Grid_templates.hh
new file mode 100644
index 0000000..a4223f1
--- /dev/null
+++ b/src/Grid_templates.hh
@@ -0,0 +1,339 @@
+/* Grid class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Grid_templates_hh
+#define PPL_Grid_templates_hh 1
+
+#include "Grid_Generator_defs.hh"
+#include "Grid_Generator_System_defs.hh"
+#include "Grid_Generator_System_inlines.hh"
+#include <algorithm>
+#include <deque>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Interval>
+Grid::Grid(const Box<Interval>& box, Complexity_Class)
+ : con_sys(),
+ gen_sys() {
+ space_dim = check_space_dimension_overflow(box.space_dimension(),
+ max_space_dimension(),
+ "PPL::Grid::",
+ "Grid(box, from_bounding_box)",
+ "the space dimension of box "
+ "exceeds the maximum allowed "
+ "space dimension");
+
+ if (box.is_empty()) {
+ // Empty grid.
+ set_empty();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (space_dim == 0)
+ set_zero_dim_univ();
+ else {
+ // Initialize the space dimension as indicated by the box.
+ con_sys.set_space_dimension(space_dim);
+ gen_sys.set_space_dimension(space_dim);
+ // Add congruences and generators according to `box'.
+ PPL_DIRTY_TEMP_COEFFICIENT(l_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(l_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(u_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(u_d);
+ gen_sys.insert(grid_point());
+ for (dimension_type k = space_dim; k-- > 0; ) {
+ const Variable v_k = Variable(k);
+ bool closed = false;
+ // TODO: Consider producing the system(s) in minimized form.
+ if (box.has_lower_bound(v_k, l_n, l_d, closed)) {
+ if (box.has_upper_bound(v_k, u_n, u_d, closed))
+ if (l_n * u_d == u_n * l_d) {
+ // A point interval sets dimension k of every point to a
+ // single value.
+ con_sys.insert(l_d * v_k == l_n);
+
+ // This is declared here because it may be invalidated
+ // by the call to gen_sys.insert() at the end of the loop.
+ Grid_Generator& point = gen_sys.sys.rows[0];
+
+ // Scale the point to use as divisor the lcm of the
+ // divisors of the existing point and the lower bound.
+ const Coefficient& point_divisor = point.divisor();
+ gcd_assign(u_n, l_d, point_divisor);
+ // `u_n' now holds the gcd.
+ exact_div_assign(u_n, point_divisor, u_n);
+ if (l_d < 0)
+ neg_assign(u_n);
+ // l_d * u_n == abs(l_d * (point_divisor / gcd(l_d, point_divisor)))
+ point.scale_to_divisor(l_d * u_n);
+ // Set dimension k of the point to the lower bound.
+ if (l_d < 0)
+ neg_assign(u_n);
+ // point[k + 1] = l_n * point_divisor / gcd(l_d, point_divisor)
+ point.expr.set(Variable(k), l_n * u_n);
+ PPL_ASSERT(point.OK());
+
+ PPL_ASSERT(gen_sys.sys.OK());
+
+ continue;
+ }
+ }
+ // A universe interval allows any value in dimension k.
+ gen_sys.insert(grid_line(v_k));
+ }
+ set_congruences_up_to_date();
+ set_generators_up_to_date();
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Partial_Function>
+void
+Grid::map_space_dimensions(const Partial_Function& pfunc) {
+ if (space_dim == 0)
+ return;
+
+ if (pfunc.has_empty_codomain()) {
+ // All dimensions vanish: the grid becomes zero_dimensional.
+ if (marked_empty()
+ || (!generators_are_up_to_date() && !update_generators())) {
+ // Removing all dimensions from the empty grid.
+ space_dim = 0;
+ set_empty();
+ }
+ else
+ // Removing all dimensions from a non-empty grid.
+ set_zero_dim_univ();
+
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ dimension_type new_space_dimension = pfunc.max_in_codomain() + 1;
+
+ if (new_space_dimension == space_dim) {
+ // The partial function `pfunc' is indeed total and thus specifies
+ // a permutation, that is, a renaming of the dimensions. For
+ // maximum efficiency, we will simply permute the columns of the
+ // constraint system and/or the generator system.
+
+ std::vector<Variable> cycle;
+ cycle.reserve(space_dim);
+
+ // Used to mark elements as soon as they are inserted in a cycle.
+ std::deque<bool> visited(space_dim);
+
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ if (!visited[i]) {
+ dimension_type j = i;
+ do {
+ visited[j] = true;
+ // The following initialization is only to make the compiler happy.
+ dimension_type k = 0;
+ if (!pfunc.maps(j, k))
+ throw_invalid_argument("map_space_dimensions(pfunc)",
+ " pfunc is inconsistent");
+ if (k == j)
+ break;
+
+ cycle.push_back(Variable(j));
+ // Go along the cycle.
+ j = k;
+ } while (!visited[j]);
+
+ // End of cycle.
+
+ // Avoid calling clear_*_minimized() if cycle.size() is less than 2,
+ // to improve efficiency.
+ if (cycle.size() >= 2) {
+ // Permute all that is up-to-date.
+ if (congruences_are_up_to_date()) {
+ con_sys.permute_space_dimensions(cycle);
+ clear_congruences_minimized();
+ }
+
+ if (generators_are_up_to_date()) {
+ gen_sys.permute_space_dimensions(cycle);
+ clear_generators_minimized();
+ }
+ }
+
+ cycle.clear();
+ }
+ }
+
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // If control gets here, then `pfunc' is not a permutation and some
+ // dimensions must be projected away.
+
+ const Grid_Generator_System& old_gensys = grid_generators();
+
+ if (old_gensys.has_no_rows()) {
+ // The grid is empty.
+ Grid new_grid(new_space_dimension, EMPTY);
+ m_swap(new_grid);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Make a local copy of the partial function.
+ std::vector<dimension_type> pfunc_maps(space_dim, not_a_dimension());
+ for (dimension_type j = space_dim; j-- > 0; ) {
+ dimension_type pfunc_j;
+ if (pfunc.maps(j, pfunc_j))
+ pfunc_maps[j] = pfunc_j;
+ }
+
+ Grid_Generator_System new_gensys;
+ // Set sortedness, for the assertion met via gs::insert.
+ new_gensys.set_sorted(false);
+ // Get the divisor of the first point.
+ Grid_Generator_System::const_iterator i;
+ Grid_Generator_System::const_iterator old_gensys_end = old_gensys.end();
+ for (i = old_gensys.begin(); i != old_gensys_end; ++i)
+ if (i->is_point())
+ break;
+ PPL_ASSERT(i != old_gensys_end);
+ const Coefficient& system_divisor = i->divisor();
+ for (i = old_gensys.begin(); i != old_gensys_end; ++i) {
+ const Grid_Generator& old_g = *i;
+ const Grid_Generator::expr_type old_g_e = old_g.expression();
+ Linear_Expression expr;
+ expr.set_space_dimension(new_space_dimension);
+ bool all_zeroes = true;
+ for (Grid_Generator::expr_type::const_iterator j = old_g_e.begin(),
+ j_end = old_g_e.end(); j != j_end; ++j) {
+ const dimension_type mapped_id = pfunc_maps[j.variable().id()];
+ if (mapped_id != not_a_dimension()) {
+ add_mul_assign(expr, *j, Variable(mapped_id));
+ all_zeroes = false;
+ }
+ }
+ switch (old_g.type()) {
+ case Grid_Generator::LINE:
+ if (!all_zeroes)
+ new_gensys.insert(grid_line(expr));
+ break;
+ case Grid_Generator::PARAMETER:
+ if (!all_zeroes)
+ new_gensys.insert(parameter(expr, system_divisor));
+ break;
+ case Grid_Generator::POINT:
+ new_gensys.insert(grid_point(expr, old_g.divisor()));
+ break;
+ }
+ }
+
+ Grid new_grid(new_gensys);
+ m_swap(new_grid);
+
+ PPL_ASSERT(OK(true));
+}
+
+// Needed for converting the congruence or grid_generator system
+// to "strong minimal form".
+template <typename M>
+void
+Grid::reduce_reduced(Swapping_Vector<typename M::row_type>& rows,
+ const dimension_type dim,
+ const dimension_type pivot_index,
+ const dimension_type start,
+ const dimension_type end,
+ const Dimension_Kinds& sys_dim_kinds,
+ const bool generators) {
+ // TODO: Remove this.
+ typedef typename M::row_type M_row_type;
+
+ const M_row_type& pivot = rows[pivot_index];
+ const Coefficient& pivot_dim = pivot.expr.get(dim);
+
+ if (pivot_dim == 0)
+ return;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(pivot_dim_half);
+ pivot_dim_half = (pivot_dim + 1) / 2;
+ const Dimension_Kind row_kind = sys_dim_kinds[dim];
+ const bool row_is_line_or_equality
+ = (row_kind == (generators ? LINE : EQUALITY));
+
+ PPL_DIRTY_TEMP_COEFFICIENT(num_rows_to_subtract);
+ PPL_DIRTY_TEMP_COEFFICIENT(row_dim_remainder);
+ for (dimension_type kinds_index = dim,
+ row_index = pivot_index; row_index-- > 0; ) {
+ if (generators) {
+ --kinds_index;
+ // Move over any virtual rows.
+ while (sys_dim_kinds[kinds_index] == GEN_VIRTUAL)
+ --kinds_index;
+ }
+ else {
+ ++kinds_index;
+ // Move over any virtual rows.
+ while (sys_dim_kinds[kinds_index] == CON_VIRTUAL)
+ ++kinds_index;
+ }
+
+ // row_kind CONGRUENCE is included as PARAMETER
+ if (row_is_line_or_equality
+ || (row_kind == PARAMETER
+ && sys_dim_kinds[kinds_index] == PARAMETER)) {
+ M_row_type& row = rows[row_index];
+
+ const Coefficient& row_dim = row.expr.get(dim);
+ // num_rows_to_subtract may be positive or negative.
+ num_rows_to_subtract = row_dim / pivot_dim;
+
+ // Ensure that after subtracting num_rows_to_subtract * r_dim
+ // from row_dim, -pivot_dim_half < row_dim <= pivot_dim_half.
+ // E.g., if pivot[dim] = 9, then after this reduction
+ // -5 < row_dim <= 5.
+ row_dim_remainder = row_dim % pivot_dim;
+ if (row_dim_remainder < 0) {
+ if (row_dim_remainder <= -pivot_dim_half)
+ --num_rows_to_subtract;
+ }
+ else if (row_dim_remainder > 0 && row_dim_remainder > pivot_dim_half)
+ ++num_rows_to_subtract;
+
+ // Subtract num_rows_to_subtract copies of pivot from row i. Only the
+ // entries from dim need to be subtracted, as the preceding
+ // entries are all zero.
+ // If num_rows_to_subtract is negative, these copies of pivot are
+ // added to row i.
+ if (num_rows_to_subtract != 0)
+ row.expr.linear_combine(pivot.expr,
+ Coefficient_one(), -num_rows_to_subtract,
+ start, end + 1);
+ }
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Grid_templates_hh)
diff --git a/src/Grid_types.hh b/src/Grid_types.hh
new file mode 100644
index 0000000..060d7f6
--- /dev/null
+++ b/src/Grid_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Grid_types_hh
+#define PPL_Grid_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Grid;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Grid_types_hh)
diff --git a/src/Grid_widenings.cc b/src/Grid_widenings.cc
index 08afc2b..972f127 100644
--- a/src/Grid_widenings.cc
+++ b/src/Grid_widenings.cc
@@ -1,7 +1,7 @@
/* Grid class implementation
(non-inline widening-related member functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,7 +23,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Grid.defs.hh"
+#include "Grid_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -31,7 +31,7 @@ namespace PPL = Parma_Polyhedra_Library;
void
PPL::Grid::select_wider_congruences(const Grid& y,
- Congruence_System& selected_cgs) const {
+ Congruence_System& selected_cgs) const {
// Private method: the caller must ensure the following conditions
// (beside the inclusion `y <= x').
PPL_ASSERT(space_dim == y.space_dim);
@@ -45,17 +45,17 @@ PPL::Grid::select_wider_congruences(const Grid& y,
for (dimension_type dim = con_sys.space_dimension(), x_row = 0, y_row = 0;
dim > 0; --dim) {
PPL_ASSERT(dim_kinds[dim] == CON_VIRTUAL
- || dim_kinds[dim] == y.dim_kinds[dim]);
+ || dim_kinds[dim] == y.dim_kinds[dim]);
switch (dim_kinds[dim]) {
case PROPER_CONGRUENCE:
{
- const Congruence& cg = con_sys[x_row];
- const Congruence& y_cg = y.con_sys[y_row];
- if (cg.is_equal_at_dimension(Variable(dim - 1), y_cg))
- // The leading diagonal entries are equal.
- selected_cgs.insert(cg);
- ++x_row;
- ++y_row;
+ const Congruence& cg = con_sys[x_row];
+ const Congruence& y_cg = y.con_sys[y_row];
+ if (cg.is_equal_at_dimension(Variable(dim - 1), y_cg))
+ // The leading diagonal entries are equal.
+ selected_cgs.insert(cg);
+ ++x_row;
+ ++y_row;
}
break;
case EQUALITY:
@@ -89,9 +89,9 @@ PPL::Grid::congruence_widening_assign(const Grid& y, unsigned* tp) {
if (x.congruences_are_up_to_date()) {
if (!x.congruences_are_minimized()) {
if (simplify(x.con_sys, x.dim_kinds)) {
- // `x' is empty.
- x.set_empty();
- return;
+ // `x' is empty.
+ x.set_empty();
+ return;
}
x.set_congruences_minimized();
}
@@ -104,9 +104,9 @@ PPL::Grid::congruence_widening_assign(const Grid& y, unsigned* tp) {
if (yy.congruences_are_up_to_date()) {
if (!yy.congruences_are_minimized()) {
if (simplify(yy.con_sys, yy.dim_kinds)) {
- // `y' is empty.
- yy.set_empty();
- return;
+ // `y' is empty.
+ yy.set_empty();
+ return;
}
yy.set_congruences_minimized();
}
@@ -149,19 +149,19 @@ PPL::Grid::congruence_widening_assign(const Grid& y, unsigned* tp) {
void
PPL::Grid::limited_congruence_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp) {
+ const Congruence_System& cgs,
+ unsigned* tp) {
Grid& x = *this;
// Check dimension compatibility.
if (x.space_dim != y.space_dim)
throw_dimension_incompatible("limited_extrapolation_assign(y, cgs)",
- "y", y);
+ "y", y);
// `cgs' must be dimension-compatible with the two grids.
const dimension_type cgs_space_dim = cgs.space_dimension();
if (x.space_dim < cgs_space_dim)
throw_dimension_incompatible("limited_extrapolation_assign(y, cgs)",
- "cgs", cgs);
+ "cgs", cgs);
const dimension_type cgs_num_rows = cgs.num_rows();
// If `cgs' is empty (of rows), fall back to ordinary widening.
@@ -199,7 +199,7 @@ PPL::Grid::limited_congruence_extrapolation_assign(const Grid& y,
for (dimension_type i = 0; i < cgs_num_rows; ++i) {
const Congruence& cg = cgs[i];
if (x.relation_with(cg) == Poly_Con_Relation::is_included())
- new_cgs.insert(cg);
+ new_cgs.insert(cg);
}
x.congruence_widening_assign(y, tp);
x.add_recycled_congruences(new_cgs);
@@ -213,7 +213,7 @@ PPL::Grid::limited_congruence_extrapolation_assign(const Grid& y,
void
PPL::Grid::select_wider_generators(const Grid& y,
- Grid_Generator_System& widened_ggs) const {
+ Grid_Generator_System& widened_ggs) const {
// Private method: the caller must ensure the following conditions
// (beside the inclusion `y <= x').
PPL_ASSERT(space_dim == y.space_dim);
@@ -228,19 +228,22 @@ PPL::Grid::select_wider_generators(const Grid& y,
dim <= gen_sys.space_dimension(); ++dim) {
PPL_ASSERT(dim_kinds[dim] == LINE
|| y.dim_kinds[dim] == GEN_VIRTUAL
- || dim_kinds[dim] == y.dim_kinds[dim]);
+ || dim_kinds[dim] == y.dim_kinds[dim]);
switch (dim_kinds[dim]) {
case PARAMETER:
{
- const Grid_Generator& gg = gen_sys[x_row];
- const Grid_Generator& y_gg = y.gen_sys[y_row];
- if (gg.is_equal_at_dimension(dim, y_gg))
- // The leading diagonal entry is equal.
- widened_ggs.insert(gg);
- else
- widened_ggs.insert(grid_line(Linear_Expression(gg)));
- ++x_row;
- ++y_row;
+ const Grid_Generator& gg = gen_sys[x_row];
+ const Grid_Generator& y_gg = y.gen_sys[y_row];
+ if (gg.is_equal_at_dimension(dim, y_gg))
+ // The leading diagonal entry is equal.
+ widened_ggs.insert(gg);
+ else {
+ const Linear_Expression expr(gg.expression());
+ Grid_Generator line = grid_line(expr);
+ widened_ggs.insert(line, Recycle_Input());
+ }
+ ++x_row;
+ ++y_row;
}
break;
case LINE:
@@ -335,19 +338,19 @@ PPL::Grid::generator_widening_assign(const Grid& y, unsigned* tp) {
void
PPL::Grid::limited_generator_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp) {
+ const Congruence_System& cgs,
+ unsigned* tp) {
Grid& x = *this;
// Check dimension compatibility.
if (x.space_dim != y.space_dim)
throw_dimension_incompatible("limited_extrapolation_assign(y, cgs)",
- "y", y);
+ "y", y);
// `cgs' must be dimension-compatible with the two grids.
const dimension_type cgs_space_dim = cgs.space_dimension();
if (x.space_dim < cgs_space_dim)
throw_dimension_incompatible("limited_extrapolation_assign(y, cgs)",
- "cgs", cgs);
+ "cgs", cgs);
const dimension_type cgs_num_rows = cgs.num_rows();
// If `cgs' is empty (of rows), fall back to ordinary widening.
@@ -385,7 +388,7 @@ PPL::Grid::limited_generator_extrapolation_assign(const Grid& y,
for (dimension_type i = 0; i < cgs_num_rows; ++i) {
const Congruence& cg = cgs[i];
if (x.relation_with(cg) == Poly_Con_Relation::is_included())
- new_cgs.insert(cg);
+ new_cgs.insert(cg);
}
x.generator_widening_assign(y, tp);
x.add_recycled_congruences(new_cgs);
@@ -427,19 +430,19 @@ PPL::Grid::widening_assign(const Grid& y, unsigned* tp) {
void
PPL::Grid::limited_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp) {
+ const Congruence_System& cgs,
+ unsigned* tp) {
Grid& x = *this;
// Check dimension compatibility.
if (x.space_dim != y.space_dim)
throw_dimension_incompatible("limited_extrapolation_assign(y, cgs)",
- "y", y);
+ "y", y);
// `cgs' must be dimension-compatible with the two grids.
const dimension_type cgs_space_dim = cgs.space_dimension();
if (x.space_dim < cgs_space_dim)
throw_dimension_incompatible("limited_extrapolation_assign(y, cgs)",
- "cgs", cgs);
+ "cgs", cgs);
const dimension_type cgs_num_rows = cgs.num_rows();
// If `cgs' is empty (of rows), fall back to ordinary widening.
@@ -477,7 +480,7 @@ PPL::Grid::limited_extrapolation_assign(const Grid& y,
for (dimension_type i = 0; i < cgs_num_rows; ++i) {
const Congruence& cg = cgs[i];
if (x.relation_with(cg) == Poly_Con_Relation::is_included())
- new_cgs.insert(cg);
+ new_cgs.insert(cg);
}
x.widening_assign(y, tp);
x.add_recycled_congruences(new_cgs);
diff --git a/src/H79_Certificate.cc b/src/H79_Certificate.cc
index 96147e2..f90b6c3 100644
--- a/src/H79_Certificate.cc
+++ b/src/H79_Certificate.cc
@@ -1,7 +1,7 @@
/* H79_Certificate class implementation
(non-inline member functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,8 +23,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "H79_Certificate.defs.hh"
-#include "Polyhedron.defs.hh"
+#include "H79_Certificate_defs.hh"
+#include "Polyhedron_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -43,7 +43,7 @@ PPL::H79_Certificate::H79_Certificate(const Polyhedron& ph)
// It is assumed that `ph' is not an empty polyhedron.
PPL_ASSERT(!ph.marked_empty());
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
++num_constraints;
if (i->is_equality())
--affine_dim;
@@ -85,7 +85,7 @@ PPL::H79_Certificate::compare(const Polyhedron& ph) const {
// polyhedron described by `*this': hence, it cannot be empty.
PPL_ASSERT(!ph.marked_empty());
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
++ph_num_constraints;
if (i->is_equality())
--ph_affine_dim;
diff --git a/src/H79_Certificate.defs.hh b/src/H79_Certificate.defs.hh
deleted file mode 100644
index 638c733..0000000
--- a/src/H79_Certificate.defs.hh
+++ /dev/null
@@ -1,98 +0,0 @@
-/* H79_Certificate class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_H79_Certificate_defs_hh
-#define PPL_H79_Certificate_defs_hh 1
-
-#include "H79_Certificate.types.hh"
-#include "Polyhedron.types.hh"
-#include "globals.types.hh"
-#include "assert.hh"
-#include <vector>
-
-//! A convergence certificate for the H79 widening operator.
-/*! \ingroup PPL_CXX_interface
- Convergence certificates are used to instantiate the BHZ03 framework
- so as to define widening operators for the finite powerset domain.
- \note
- The convergence of the H79 widening can also be certified by
- BHRZ03_Certificate.
-*/
-class Parma_Polyhedra_Library::H79_Certificate {
-public:
- //! Default constructor.
- H79_Certificate();
-
- //! Constructor: computes the certificate for \p ph.
- template <typename PH>
- H79_Certificate(const PH& ph);
-
- //! Constructor: computes the certificate for \p ph.
- H79_Certificate(const Polyhedron& ph);
-
- //! Copy constructor.
- H79_Certificate(const H79_Certificate& y);
-
- //! Destructor.
- ~H79_Certificate();
-
- //! The comparison function for certificates.
- /*!
- \return
- \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
- is smaller than, equal to, or greater than \p y, respectively.
-
- Compares \p *this with \p y, using a total ordering which is a
- refinement of the limited growth ordering relation for the
- H79 widening.
- */
- int compare(const H79_Certificate& y) const;
-
- //! Compares \p *this with the certificate for polyhedron \p ph.
- template <typename PH>
- int compare(const PH& ph) const;
-
- //! Compares \p *this with the certificate for polyhedron \p ph.
- int compare(const Polyhedron& ph) const;
-
- //! A total ordering on H79 certificates.
- /*! \ingroup PPL_CXX_interface
- This binary predicate defines a total ordering on H79 certificates
- which is used when storing information about sets of polyhedra.
- */
- struct Compare {
- //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
- bool operator()(const H79_Certificate& x,
- const H79_Certificate& y) const;
- };
-
-private:
- //! Affine dimension of the polyhedron.
- dimension_type affine_dim;
- //! Cardinality of a non-redundant constraint system for the polyhedron.
- dimension_type num_constraints;
-};
-
-#include "H79_Certificate.inlines.hh"
-
-#endif // !defined(PPL_H79_Certificate_defs_hh)
diff --git a/src/H79_Certificate.inlines.hh b/src/H79_Certificate.inlines.hh
deleted file mode 100644
index de87869..0000000
--- a/src/H79_Certificate.inlines.hh
+++ /dev/null
@@ -1,71 +0,0 @@
-/* H79_Certificate class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_H79_Certificate_inlines_hh
-#define PPL_H79_Certificate_inlines_hh 1
-
-#include "Polyhedron.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline
-H79_Certificate::H79_Certificate()
- : affine_dim(0), num_constraints(0) {
- // This is the certificate for a zero-dim universe polyhedron.
-}
-
-inline
-H79_Certificate::H79_Certificate(const H79_Certificate& y)
- : affine_dim(y.affine_dim), num_constraints(y.num_constraints) {
-}
-
-inline
-H79_Certificate::~H79_Certificate() {
-}
-
-inline bool
-H79_Certificate::Compare::operator()(const H79_Certificate& x,
- const H79_Certificate& y) const {
- // For an efficient evaluation of the multiset ordering based
- // on this LGO relation, we want larger elements to come first.
- return x.compare(y) == 1;
-}
-
-template <typename PH>
-inline
-H79_Certificate::H79_Certificate(const PH& ph)
- : affine_dim(0), num_constraints(0) {
- H79_Certificate cert(Polyhedron(NECESSARILY_CLOSED, ph.constraints()));
- affine_dim = cert.affine_dim;
- num_constraints = cert.num_constraints;
-}
-
-template <typename PH>
-inline int
-H79_Certificate::compare(const PH& ph) const {
- return this->compare(Polyhedron(NECESSARILY_CLOSED, ph.constraints()));
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_H79_Certificate_inlines_hh)
diff --git a/src/H79_Certificate.types.hh b/src/H79_Certificate.types.hh
deleted file mode 100644
index cbb397e..0000000
--- a/src/H79_Certificate.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_H79_Certificate_types_hh
-#define PPL_H79_Certificate_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class H79_Certificate;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_H79_Certificate_types_hh)
diff --git a/src/H79_Certificate_defs.hh b/src/H79_Certificate_defs.hh
new file mode 100644
index 0000000..1cc6fe2
--- /dev/null
+++ b/src/H79_Certificate_defs.hh
@@ -0,0 +1,98 @@
+/* H79_Certificate class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_H79_Certificate_defs_hh
+#define PPL_H79_Certificate_defs_hh 1
+
+#include "H79_Certificate_types.hh"
+#include "Polyhedron_types.hh"
+#include "globals_types.hh"
+#include "assert.hh"
+#include <vector>
+
+//! A convergence certificate for the H79 widening operator.
+/*! \ingroup PPL_CXX_interface
+ Convergence certificates are used to instantiate the BHZ03 framework
+ so as to define widening operators for the finite powerset domain.
+ \note
+ The convergence of the H79 widening can also be certified by
+ BHRZ03_Certificate.
+*/
+class Parma_Polyhedra_Library::H79_Certificate {
+public:
+ //! Default constructor.
+ H79_Certificate();
+
+ //! Constructor: computes the certificate for \p ph.
+ template <typename PH>
+ H79_Certificate(const PH& ph);
+
+ //! Constructor: computes the certificate for \p ph.
+ H79_Certificate(const Polyhedron& ph);
+
+ //! Copy constructor.
+ H79_Certificate(const H79_Certificate& y);
+
+ //! Destructor.
+ ~H79_Certificate();
+
+ //! The comparison function for certificates.
+ /*!
+ \return
+ \f$-1\f$, \f$0\f$ or \f$1\f$ depending on whether \p *this
+ is smaller than, equal to, or greater than \p y, respectively.
+
+ Compares \p *this with \p y, using a total ordering which is a
+ refinement of the limited growth ordering relation for the
+ H79 widening.
+ */
+ int compare(const H79_Certificate& y) const;
+
+ //! Compares \p *this with the certificate for polyhedron \p ph.
+ template <typename PH>
+ int compare(const PH& ph) const;
+
+ //! Compares \p *this with the certificate for polyhedron \p ph.
+ int compare(const Polyhedron& ph) const;
+
+ //! A total ordering on H79 certificates.
+ /*! \ingroup PPL_CXX_interface
+ This binary predicate defines a total ordering on H79 certificates
+ which is used when storing information about sets of polyhedra.
+ */
+ struct Compare {
+ //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
+ bool operator()(const H79_Certificate& x,
+ const H79_Certificate& y) const;
+ };
+
+private:
+ //! Affine dimension of the polyhedron.
+ dimension_type affine_dim;
+ //! Cardinality of a non-redundant constraint system for the polyhedron.
+ dimension_type num_constraints;
+};
+
+#include "H79_Certificate_inlines.hh"
+
+#endif // !defined(PPL_H79_Certificate_defs_hh)
diff --git a/src/H79_Certificate_inlines.hh b/src/H79_Certificate_inlines.hh
new file mode 100644
index 0000000..0f94d8f
--- /dev/null
+++ b/src/H79_Certificate_inlines.hh
@@ -0,0 +1,71 @@
+/* H79_Certificate class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_H79_Certificate_inlines_hh
+#define PPL_H79_Certificate_inlines_hh 1
+
+#include "Polyhedron_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline
+H79_Certificate::H79_Certificate()
+ : affine_dim(0), num_constraints(0) {
+ // This is the certificate for a zero-dim universe polyhedron.
+}
+
+inline
+H79_Certificate::H79_Certificate(const H79_Certificate& y)
+ : affine_dim(y.affine_dim), num_constraints(y.num_constraints) {
+}
+
+inline
+H79_Certificate::~H79_Certificate() {
+}
+
+inline bool
+H79_Certificate::Compare::operator()(const H79_Certificate& x,
+ const H79_Certificate& y) const {
+ // For an efficient evaluation of the multiset ordering based
+ // on this LGO relation, we want larger elements to come first.
+ return x.compare(y) == 1;
+}
+
+template <typename PH>
+inline
+H79_Certificate::H79_Certificate(const PH& ph)
+ : affine_dim(0), num_constraints(0) {
+ H79_Certificate cert(Polyhedron(NECESSARILY_CLOSED, ph.constraints()));
+ affine_dim = cert.affine_dim;
+ num_constraints = cert.num_constraints;
+}
+
+template <typename PH>
+inline int
+H79_Certificate::compare(const PH& ph) const {
+ return this->compare(Polyhedron(NECESSARILY_CLOSED, ph.constraints()));
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_H79_Certificate_inlines_hh)
diff --git a/src/H79_Certificate_types.hh b/src/H79_Certificate_types.hh
new file mode 100644
index 0000000..7da155b
--- /dev/null
+++ b/src/H79_Certificate_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_H79_Certificate_types_hh
+#define PPL_H79_Certificate_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class H79_Certificate;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_H79_Certificate_types_hh)
diff --git a/src/Handler.defs.hh b/src/Handler.defs.hh
deleted file mode 100644
index 5a0e400..0000000
--- a/src/Handler.defs.hh
+++ /dev/null
@@ -1,95 +0,0 @@
-/* Handler and derived classes' declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Handler_defs_hh
-#define PPL_Handler_defs_hh 1
-
-#include "Handler.types.hh"
-
-//! Abstract base class for handlers of the watchdog events.
-class Parma_Polyhedra_Library::Implementation::Watchdog::Handler {
-public:
- //! Does the job.
- virtual void act() const = 0;
-
- //! Virtual destructor.
- virtual ~Handler();
-};
-
-//! A kind of Handler that installs a flag onto a flag-holder.
-/*!
- The template class Handler_Flag<Flag_Base, Flag> is an handler whose
- job is to install a flag onto an <EM>holder</EM> for the flag.
- The flag is of type \p Flag and the holder is a (volatile) pointer
- to \p Flag_Base. Installing the flag onto the holder means making
- the holder point to the flag, so that it must be possible to assign
- a value of type <CODE>Flag*</CODE> to an entity of type
- <CODE>Flag_Base*</CODE>.
- The class \p Flag must provide the method
-
- \code
- int priority() const
- \endcode
- returning an integer priority associated to the flag.
-
- The handler will install its flag onto the holder only if the holder
- is empty, namely, it is the null pointer, or if the holder holds a
- flag of strictly lower priority.
- */
-template <typename Flag_Base, typename Flag>
-class Parma_Polyhedra_Library::Implementation::Watchdog::Handler_Flag
- : public Handler {
-public:
- //! Constructor with a given function.
- Handler_Flag(const Flag_Base* volatile& holder, Flag& flag);
-
- /*! \brief
- Does its job: installs the flag onto the holder, if a flag with
- an higher priority has not already been installed.
- */
- virtual void act() const;
-
-private:
- // declare holder as reference to volatile pointer to const Flag_Base
- const Flag_Base* volatile& h;
- Flag& f;
-};
-
-//! A kind of Handler calling a given function.
-class Parma_Polyhedra_Library::Implementation::Watchdog::Handler_Function
- : public Handler {
-public:
- //! Constructor with a given function.
- Handler_Function(void (*function)());
-
- //! Does its job: calls the embedded function.
- virtual void act() const;
-
-private:
- //! Pointer to the embedded function.
- void (*f)();
-};
-
-#include "Handler.inlines.hh"
-
-#endif // !defined(PPL_Handler_defs_hh)
diff --git a/src/Handler.inlines.hh b/src/Handler.inlines.hh
deleted file mode 100644
index cc684cc..0000000
--- a/src/Handler.inlines.hh
+++ /dev/null
@@ -1,66 +0,0 @@
-/* Handler and derived classes' implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Handler_inlines_hh
-#define PPL_Handler_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-inline
-Handler::~Handler() {
-}
-
-template <typename Flag_Base, typename Flag>
-Handler_Flag<Flag_Base, Flag>::Handler_Flag(const Flag_Base* volatile& holder,
- Flag& flag)
- : h(holder), f(flag) {
-}
-
-template <typename Flag_Base, typename Flag>
-void
-Handler_Flag<Flag_Base, Flag>::act() const {
- if (h == 0 || static_cast<const Flag&>(*h).priority() < f.priority())
- h = &f;
-}
-
-inline
-Handler_Function::Handler_Function(void (*function)())
- : f(function) {
-}
-
-inline void
-Handler_Function::act() const {
- (*f)();
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Handler_inlines_hh)
diff --git a/src/Handler.types.hh b/src/Handler.types.hh
deleted file mode 100644
index 4f5e183..0000000
--- a/src/Handler.types.hh
+++ /dev/null
@@ -1,35 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Handler_types_hh
-#define PPL_Handler_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-class Handler;
-
-template <typename Flag_Base, typename Flag>
-class Handler_Flag;
-
-class Handler_Function;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Handler_types_hh)
diff --git a/src/Handler_defs.hh b/src/Handler_defs.hh
new file mode 100644
index 0000000..ca2f6fd
--- /dev/null
+++ b/src/Handler_defs.hh
@@ -0,0 +1,96 @@
+/* Handler and derived classes' declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Handler_defs_hh
+#define PPL_Handler_defs_hh 1
+
+#include "Handler_types.hh"
+
+//! Abstract base class for handlers of the watchdog events.
+class Parma_Polyhedra_Library::Implementation::Watchdog::Handler {
+public:
+ //! Does the job.
+ virtual void act() const = 0;
+
+ //! Virtual destructor.
+ virtual ~Handler();
+};
+
+//! A kind of Handler that installs a flag onto a flag-holder.
+/*!
+ The template class <CODE>Handler_Flag\<Flag_Base, Flag\></CODE>
+ is an handler whose job is to install a flag onto an <EM>holder</EM>
+ for the flag.
+ The flag is of type \p Flag and the holder is a (volatile) pointer
+ to \p Flag_Base. Installing the flag onto the holder means making
+ the holder point to the flag, so that it must be possible to assign
+ a value of type <CODE>Flag*</CODE> to an entity of type
+ <CODE>Flag_Base*</CODE>.
+ The class \p Flag must provide the method
+
+ \code
+ int priority() const
+ \endcode
+ returning an integer priority associated to the flag.
+
+ The handler will install its flag onto the holder only if the holder
+ is empty, namely, it is the null pointer, or if the holder holds a
+ flag of strictly lower priority.
+ */
+template <typename Flag_Base, typename Flag>
+class Parma_Polyhedra_Library::Implementation::Watchdog::Handler_Flag
+ : public Handler {
+public:
+ //! Constructor with a given function.
+ Handler_Flag(const Flag_Base* volatile& holder, Flag& flag);
+
+ /*! \brief
+ Does its job: installs the flag onto the holder, if a flag with
+ an higher priority has not already been installed.
+ */
+ virtual void act() const;
+
+private:
+ // declare holder as reference to volatile pointer to const Flag_Base
+ const Flag_Base* volatile& h;
+ Flag& f;
+};
+
+//! A kind of Handler calling a given function.
+class Parma_Polyhedra_Library::Implementation::Watchdog::Handler_Function
+ : public Handler {
+public:
+ //! Constructor with a given function.
+ Handler_Function(void (* const function)());
+
+ //! Does its job: calls the embedded function.
+ virtual void act() const;
+
+private:
+ //! Pointer to the embedded function.
+ void (* const f)();
+};
+
+#include "Handler_inlines.hh"
+
+#endif // !defined(PPL_Handler_defs_hh)
diff --git a/src/Handler_inlines.hh b/src/Handler_inlines.hh
new file mode 100644
index 0000000..00fa0c1
--- /dev/null
+++ b/src/Handler_inlines.hh
@@ -0,0 +1,66 @@
+/* Handler and derived classes' implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Handler_inlines_hh
+#define PPL_Handler_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+inline
+Handler::~Handler() {
+}
+
+template <typename Flag_Base, typename Flag>
+Handler_Flag<Flag_Base, Flag>::Handler_Flag(const Flag_Base* volatile& holder,
+ Flag& flag)
+ : h(holder), f(flag) {
+}
+
+template <typename Flag_Base, typename Flag>
+void
+Handler_Flag<Flag_Base, Flag>::act() const {
+ if (h == 0 || static_cast<const Flag&>(*h).priority() < f.priority())
+ h = &f;
+}
+
+inline
+Handler_Function::Handler_Function(void (* const function)())
+ : f(function) {
+}
+
+inline void
+Handler_Function::act() const {
+ (*f)();
+}
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Handler_inlines_hh)
diff --git a/src/Handler_types.hh b/src/Handler_types.hh
new file mode 100644
index 0000000..9f842ab
--- /dev/null
+++ b/src/Handler_types.hh
@@ -0,0 +1,35 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Handler_types_hh
+#define PPL_Handler_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+class Handler;
+
+template <typename Flag_Base, typename Flag>
+class Handler_Flag;
+
+class Handler_Function;
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Handler_types_hh)
diff --git a/src/Has_Assign_Or_Swap.hh b/src/Has_Assign_Or_Swap.hh
index 2a05438..55945ed 100644
--- a/src/Has_Assign_Or_Swap.hh
+++ b/src/Has_Assign_Or_Swap.hh
@@ -1,6 +1,6 @@
/* Has_Assign_Or_Swap classes declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -44,8 +44,8 @@ struct Has_Assign_Or_Swap : public False {
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename T>
struct Has_Assign_Or_Swap<T,
- typename Enable_If_Is<void (T::*)(T& x),
- &T::assign_or_swap>::type>
+ typename Enable_If_Is<void (T::*)(T& x),
+ &T::assign_or_swap>::type>
: public True {
};
diff --git a/src/Init.cc b/src/Init.cc
index 8997598..cef1af6 100644
--- a/src/Init.cc
+++ b/src/Init.cc
@@ -1,6 +1,6 @@
/* Init class implementation (non-inline functions and static variables).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,23 +22,23 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Init.defs.hh"
-#include "Variable.defs.hh"
-#include "fpu.defs.hh"
-#include "Rounding_Dir.defs.hh"
-#include "checked.defs.hh"
-#include "Coefficient.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Constraint.defs.hh"
-#include "Generator.defs.hh"
-#include "Congruence.defs.hh"
-#include "Grid_Generator.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "Generator_System.defs.hh"
-#include "Congruence_System.defs.hh"
-#include "Grid_Generator_System.defs.hh"
-#include "Polyhedron.defs.hh"
-#include "Watchdog.defs.hh"
+#include "Init_defs.hh"
+#include "Variable_defs.hh"
+#include "fpu_defs.hh"
+#include "Rounding_Dir_defs.hh"
+#include "checked_defs.hh"
+#include "Coefficient_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Constraint_defs.hh"
+#include "Generator_defs.hh"
+#include "Congruence_defs.hh"
+#include "Grid_Generator_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "Generator_System_defs.hh"
+#include "Congruence_System_defs.hh"
+#include "Grid_Generator_System_defs.hh"
+#include "Polyhedron_defs.hh"
+#include "Watchdog_defs.hh"
#include <stdexcept>
namespace PPL = Parma_Polyhedra_Library;
diff --git a/src/Init.defs.hh b/src/Init.defs.hh
deleted file mode 100644
index 12a5da5..0000000
--- a/src/Init.defs.hh
+++ /dev/null
@@ -1,100 +0,0 @@
-/* Init class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Init_defs_hh
-#define PPL_Init_defs_hh 1
-
-#include "Init.types.hh"
-#include "fpu.types.hh"
-
-namespace Parma_Polyhedra_Library {
-
-/*! \brief
- Sets the FPU rounding mode so that the PPL abstractions based on
- floating point numbers work correctly.
-
- This is performed automatically at initialization-time. Calling
- this function is needed only if restore_pre_PPL_rounding() has been
- previously called.
-*/
-void set_rounding_for_PPL();
-
-/*! \brief
- Sets the FPU rounding mode as it was before initialization of the PPL.
-
- This is important if the application uses floating-point computations
- outside the PPL. It is crucial when the application uses functions
- from a mathematical library that are not guaranteed to work correctly
- under all rounding modes.
-
- After calling this function it is absolutely necessary to call
- set_rounding_for_PPL() before using any PPL abstractions based on
- floating point numbers.
- This is performed automatically at finalization-time.
-*/
-void restore_pre_PPL_rounding();
-
-} // namespace Parma_Polyhedra_Library
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Class for initialization and finalization.
-/*! \ingroup PPL_CXX_interface
- <EM>Nifty Counter</EM> initialization class,
- ensuring that the library is initialized only once
- and before its first use.
- A count of the number of translation units using the library
- is maintained. A static object of Init type will be declared
- by each translation unit using the library. As a result,
- only one of them will initialize and properly finalize
- the library.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Init {
-public:
- //! Initializes the PPL.
- Init();
-
- //! Finalizes the PPL.
- ~Init();
-
-private:
- /*! \brief
- Default precision parameter used for irrational calculations.
-
- The default is chosen to have a precision greater than most
- precise IEC 559 floating point (112 bits of mantissa).
- */
- static const unsigned DEFAULT_IRRATIONAL_PRECISION = 128U;
-
- //! Count the number of objects created.
- static unsigned int count;
- static fpu_rounding_direction_type old_rounding_direction;
-
- friend void set_rounding_for_PPL();
- friend void restore_pre_PPL_rounding();
-};
-
-#include "Init.inlines.hh"
-
-
-#endif // !defined(PPL_Init_defs_hh)
diff --git a/src/Init.inlines.hh b/src/Init.inlines.hh
deleted file mode 100644
index a10e469..0000000
--- a/src/Init.inlines.hh
+++ /dev/null
@@ -1,48 +0,0 @@
-/* Init class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Init_inlines_hh
-#define PPL_Init_inlines_hh 1
-
-#include "fpu.defs.hh"
-#include "Rounding_Dir.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-set_rounding_for_PPL() {
-#if PPL_CAN_CONTROL_FPU
- fpu_set_rounding_direction(round_fpu_dir(ROUND_DIRECT));
-#endif
-}
-
-inline void
-restore_pre_PPL_rounding() {
-#if PPL_CAN_CONTROL_FPU
- fpu_set_rounding_direction(Init::old_rounding_direction);
-#endif
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Init_inlines_hh)
diff --git a/src/Init.types.hh b/src/Init.types.hh
deleted file mode 100644
index 60d6a65..0000000
--- a/src/Init.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Init_types_hh
-#define PPL_Init_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Init;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Init_types_hh)
diff --git a/src/Init_defs.hh b/src/Init_defs.hh
new file mode 100644
index 0000000..80923e8
--- /dev/null
+++ b/src/Init_defs.hh
@@ -0,0 +1,100 @@
+/* Init class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Init_defs_hh
+#define PPL_Init_defs_hh 1
+
+#include "Init_types.hh"
+#include "fpu_types.hh"
+
+namespace Parma_Polyhedra_Library {
+
+/*! \brief
+ Sets the FPU rounding mode so that the PPL abstractions based on
+ floating point numbers work correctly.
+
+ This is performed automatically at initialization-time. Calling
+ this function is needed only if restore_pre_PPL_rounding() has been
+ previously called.
+*/
+void set_rounding_for_PPL();
+
+/*! \brief
+ Sets the FPU rounding mode as it was before initialization of the PPL.
+
+ This is important if the application uses floating-point computations
+ outside the PPL. It is crucial when the application uses functions
+ from a mathematical library that are not guaranteed to work correctly
+ under all rounding modes.
+
+ After calling this function it is absolutely necessary to call
+ set_rounding_for_PPL() before using any PPL abstractions based on
+ floating point numbers.
+ This is performed automatically at finalization-time.
+*/
+void restore_pre_PPL_rounding();
+
+} // namespace Parma_Polyhedra_Library
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Class for initialization and finalization.
+/*! \ingroup PPL_CXX_interface
+ <EM>Nifty Counter</EM> initialization class,
+ ensuring that the library is initialized only once
+ and before its first use.
+ A count of the number of translation units using the library
+ is maintained. A static object of Init type will be declared
+ by each translation unit using the library. As a result,
+ only one of them will initialize and properly finalize
+ the library.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Init {
+public:
+ //! Initializes the PPL.
+ Init();
+
+ //! Finalizes the PPL.
+ ~Init();
+
+private:
+ /*! \brief
+ Default precision parameter used for irrational calculations.
+
+ The default is chosen to have a precision greater than most
+ precise IEC 559 floating point (112 bits of mantissa).
+ */
+ static const unsigned DEFAULT_IRRATIONAL_PRECISION = 128U;
+
+ //! Count the number of objects created.
+ static unsigned int count;
+ static fpu_rounding_direction_type old_rounding_direction;
+
+ friend void set_rounding_for_PPL();
+ friend void restore_pre_PPL_rounding();
+};
+
+#include "Init_inlines.hh"
+
+
+#endif // !defined(PPL_Init_defs_hh)
diff --git a/src/Init_inlines.hh b/src/Init_inlines.hh
new file mode 100644
index 0000000..124a03e
--- /dev/null
+++ b/src/Init_inlines.hh
@@ -0,0 +1,48 @@
+/* Init class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Init_inlines_hh
+#define PPL_Init_inlines_hh 1
+
+#include "fpu_defs.hh"
+#include "Rounding_Dir_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+set_rounding_for_PPL() {
+#if PPL_CAN_CONTROL_FPU
+ fpu_set_rounding_direction(round_fpu_dir(ROUND_DIRECT));
+#endif
+}
+
+inline void
+restore_pre_PPL_rounding() {
+#if PPL_CAN_CONTROL_FPU
+ fpu_set_rounding_direction(Init::old_rounding_direction);
+#endif
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Init_inlines_hh)
diff --git a/src/Init_types.hh b/src/Init_types.hh
new file mode 100644
index 0000000..410bc01
--- /dev/null
+++ b/src/Init_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Init_types_hh
+#define PPL_Init_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Init;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Init_types_hh)
diff --git a/src/Integer_Interval.hh b/src/Integer_Interval.hh
index a68785a..1f873ed 100644
--- a/src/Integer_Interval.hh
+++ b/src/Integer_Interval.hh
@@ -1,6 +1,6 @@
/* Integer_Interval class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,7 +24,7 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_Integer_Interval_hh
#define PPL_Integer_Interval_hh 1
-#include "Interval.defs.hh"
+#include "Interval_defs.hh"
#include <gmpxx.h>
namespace Parma_Polyhedra_Library {
diff --git a/src/Interval.defs.hh b/src/Interval.defs.hh
deleted file mode 100644
index 7d25bcd..0000000
--- a/src/Interval.defs.hh
+++ /dev/null
@@ -1,761 +0,0 @@
-/* Declarations for the Interval class and its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Interval_defs_hh
-#define PPL_Interval_defs_hh 1
-
-#include "globals.defs.hh"
-#include "meta_programming.hh"
-#include "assign_or_swap.hh"
-#include "intervals.defs.hh"
-#include "Interval.types.hh"
-#include "Interval_Info.defs.hh"
-#include <iosfwd>
-
-// Temporary!
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-enum Ternary { T_YES, T_NO, T_MAYBE };
-
-inline I_Result
-combine(Result l, Result u) {
- unsigned res = static_cast<unsigned>(l) | (static_cast<unsigned>(u) << 6);
- return static_cast<I_Result>(res);
-}
-
-struct Interval_Base {
-};
-
-using namespace Boundary_NS;
-using namespace Interval_NS;
-
-template <typename T, typename Enable = void>
-struct Is_Singleton : public Is_Native_Or_Checked<T> {};
-
-template <typename T>
-struct Is_Interval : public Is_Same_Or_Derived<Interval_Base, T> {};
-
-//! A generic, not necessarily closed, possibly restricted interval.
-/*! \ingroup PPL_CXX_interface
- The class template type parameter \p Boundary represents the type
- of the interval boundaries, and can be chosen, among other possibilities,
- within one of the following number families:
-
- - a bounded precision native integer type (that is,
- from <CODE>signed char</CODE> to <CODE>long long</CODE>
- and from <CODE>int8_t</CODE> to <CODE>int64_t</CODE>);
- - a bounded precision floating point type (<CODE>float</CODE>,
- <CODE>double</CODE> or <CODE>long double</CODE>);
- - an unbounded integer or rational type, as provided by the C++ interface
- of GMP (<CODE>mpz_class</CODE> or <CODE>mpq_class</CODE>).
-
- The class template type parameter \p Info allows to control a number
- of features of the class, among which:
-
- - the ability to support open as well as closed boundaries;
- - the ability to represent empty intervals in addition to nonempty ones;
- - the ability to represent intervals of extended number families
- that contain positive and negative infinities;
-*/
-template <typename Boundary, typename Info>
-class Interval : public Interval_Base, private Info {
-private:
- PPL_COMPILE_TIME_CHECK(!Info::store_special
- || !std::numeric_limits<Boundary>::has_infinity,
- "store_special is meaningless"
- " when boundary type may contains infinity");
- Info& w_info() const {
- return const_cast<Interval&>(*this);
- }
-
-public:
- typedef Boundary boundary_type;
- typedef Info info_type;
-
- typedef Interval_NS::Property Property;
-
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
- operator=(const T& x) {
- assign(x);
- return *this;
- }
-
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
- operator+=(const T& x) {
- add_assign(*this, x);
- return *this;
- }
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
- operator-=(const T& x) {
- sub_assign(*this, x);
- return *this;
- }
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
- operator*=(const T& x) {
- mul_assign(*this, x);
- return *this;
- }
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
- operator/=(const T& x) {
- div_assign(*this, x);
- return *this;
- }
-
- //! Swaps \p *this with \p y.
- void m_swap(Interval& y);
-
- Info& info() {
- return *this;
- }
-
- const Info& info() const {
- return *this;
- }
-
- Boundary& lower() {
- return lower_;
- }
-
- const Boundary& lower() const {
- return lower_;
- }
-
- Boundary& upper() {
- return upper_;
- }
-
- const Boundary& upper() const {
- return upper_;
- }
-
- I_Constraint<boundary_type> lower_constraint() const {
- PPL_ASSERT(!is_empty());
- if (info().get_boundary_property(LOWER, SPECIAL))
- return I_Constraint<boundary_type>();
- return i_constraint(lower_is_open() ? GREATER_THAN : GREATER_OR_EQUAL,
- lower(), true);
- }
- I_Constraint<boundary_type> upper_constraint() const {
- PPL_ASSERT(!is_empty());
- if (info().get_boundary_property(UPPER, SPECIAL))
- return I_Constraint<boundary_type>();
- return i_constraint(upper_is_open() ? LESS_THAN : LESS_OR_EQUAL,
- upper(), true);
- }
-
- bool is_empty() const {
- return lt(UPPER, upper(), info(), LOWER, lower(), info());
- }
-
- bool check_empty(I_Result r) const {
- return (r & I_ANY) == I_EMPTY
- || ((r & I_ANY) != I_NOT_EMPTY && is_empty());
- }
-
- bool is_singleton() const {
- return eq(LOWER, lower(), info(), UPPER, upper(), info());
- }
-
- bool lower_is_open() const {
- PPL_ASSERT(OK());
- return is_open(LOWER, lower(), info());
- }
-
- bool upper_is_open() const {
- PPL_ASSERT(OK());
- return is_open(UPPER, upper(), info());
- }
-
- bool lower_is_boundary_infinity() const {
- PPL_ASSERT(OK());
- return Boundary_NS::is_boundary_infinity(LOWER, lower(), info());
- }
-
- bool upper_is_boundary_infinity() const {
- PPL_ASSERT(OK());
- return Boundary_NS::is_boundary_infinity(UPPER, upper(), info());
- }
-
- bool lower_is_domain_inf() const {
- PPL_ASSERT(OK());
- return Boundary_NS::is_domain_inf(LOWER, lower(), info());
- }
-
- bool upper_is_domain_sup() const {
- PPL_ASSERT(OK());
- return Boundary_NS::is_domain_sup(UPPER, upper(), info());
- }
-
- bool is_bounded() const {
- PPL_ASSERT(OK());
- return !lower_is_boundary_infinity() && !upper_is_boundary_infinity();
- }
-
- bool is_universe() const {
- PPL_ASSERT(OK());
- return lower_is_domain_inf() && upper_is_domain_sup();
- }
-
- I_Result lower_extend() {
- info().clear_boundary_properties(LOWER);
- set_unbounded(LOWER, lower(), info());
- return I_ANY;
- }
-
- template <typename C>
- typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
- lower_extend(const C& c);
-
- I_Result upper_extend() {
- info().clear_boundary_properties(UPPER);
- set_unbounded(UPPER, upper(), info());
- return I_ANY;
- }
-
- template <typename C>
- typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
- upper_extend(const C& c);
-
- I_Result build() {
- return assign(UNIVERSE);
- }
-
- template <typename C>
- typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
- build(const C& c) {
- Relation_Symbol rs;
- switch (c.rel()) {
- case V_LGE:
- case V_GT_MINUS_INFINITY:
- case V_LT_PLUS_INFINITY:
- return assign(UNIVERSE);
- default:
- return assign(EMPTY);
- case V_LT:
- case V_LE:
- case V_GT:
- case V_GE:
- case V_EQ:
- case V_NE:
- assign(UNIVERSE);
- rs = static_cast<Relation_Symbol>(c.rel());
- return refine_existential(rs, c.value());
- }
- }
-
- template <typename C1, typename C2>
- typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C1>::value
- &&
- Is_Same_Or_Derived<I_Constraint_Base, C2>::value,
- I_Result>::type
- build(const C1& c1, const C2& c2) {
- switch (c1.rel()) {
- case V_LGE:
- return build(c2);
- case V_NAN:
- return assign(EMPTY);
- default:
- break;
- }
- switch (c2.rel()) {
- case V_LGE:
- return build(c1);
- case V_NAN:
- return assign(EMPTY);
- default:
- break;
- }
- build(c1);
- I_Result r = add_constraint(c2);
- return r - (I_CHANGED | I_UNCHANGED);
- }
-
- template <typename C>
- typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
- add_constraint(const C& c) {
- Interval x;
- x.build(c);
- return intersect_assign(x);
- }
-
- I_Result assign(Degenerate_Element e) {
- I_Result r;
- info().clear();
- switch (e) {
- case EMPTY:
- lower_ = 1;
- upper_ = 0;
- r = I_EMPTY | I_EXACT;
- break;
- case UNIVERSE:
- set_unbounded(LOWER, lower(), info());
- set_unbounded(UPPER, upper(), info());
- r = I_UNIVERSE | I_EXACT;
- break;
- default:
- PPL_UNREACHABLE;
- r = I_EMPTY;
- break;
- }
- PPL_ASSERT(OK());
- return r;
- }
-
- template <typename From>
- typename Enable_If<Is_Special<From>::value, I_Result>::type
- assign(const From&) {
- info().clear();
- Result rl, ru;
- switch (From::vclass) {
- case VC_MINUS_INFINITY:
- rl = Boundary_NS::set_minus_infinity(LOWER, lower(), info());
- ru = Boundary_NS::set_minus_infinity(UPPER, upper(), info());
- break;
- case VC_PLUS_INFINITY:
- rl = Boundary_NS::set_plus_infinity(LOWER, lower(), info());
- ru = Boundary_NS::set_plus_infinity(UPPER, upper(), info());
- break;
- default:
- PPL_UNREACHABLE;
- rl = V_NAN;
- ru = V_NAN;
- break;
- }
- PPL_ASSERT(OK());
- return combine(rl, ru);
- }
-
- I_Result set_infinities() {
- info().clear();
- Result rl = Boundary_NS::set_minus_infinity(LOWER, lower(), info());
- Result ru = Boundary_NS::set_plus_infinity(UPPER, upper(), info());
- PPL_ASSERT(OK());
- return combine(rl, ru);
- }
-
- static bool is_always_topologically_closed() {
- return !Info::store_open;
- }
-
- bool is_topologically_closed() const {
- PPL_ASSERT(OK());
- return is_always_topologically_closed()
- || is_empty()
- || ((lower_is_boundary_infinity() || !lower_is_open())
- && (upper_is_boundary_infinity() || !upper_is_open()));
- }
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign() {
- if (!Info::store_open || is_empty())
- return;
- if (lower_is_open() && !lower_is_boundary_infinity())
- info().set_boundary_property(LOWER, OPEN, false);
- if (upper_is_open() && !upper_is_boundary_infinity())
- info().set_boundary_property(UPPER, OPEN, false);
- }
-
- void remove_inf() {
- PPL_ASSERT(!is_empty());
- if (!Info::store_open)
- return;
- info().set_boundary_property(LOWER, OPEN, true);
- }
-
- void remove_sup() {
- PPL_ASSERT(!is_empty());
- if (!Info::store_open)
- return;
- info().set_boundary_property(UPPER, OPEN, true);
- }
-
- int infinity_sign() const {
- PPL_ASSERT(OK());
- if (is_reverse_infinity(LOWER, lower(), info()))
- return 1;
- else if (is_reverse_infinity(UPPER, upper(), info()))
- return -1;
- else
- return 0;
- }
-
- bool contains_integer_point() const {
- PPL_ASSERT(OK());
- if (is_empty())
- return false;
- if (!is_bounded())
- return true;
- Boundary l;
- if (lower_is_open()) {
- add_assign_r(l, lower(), Boundary(1), ROUND_DOWN);
- floor_assign_r(l, l, ROUND_DOWN);
- }
- else
- ceil_assign_r(l, lower(), ROUND_DOWN);
- Boundary u;
- if (upper_is_open()) {
- sub_assign_r(u, upper(), Boundary(1), ROUND_UP);
- ceil_assign_r(u, u, ROUND_UP);
- }
- else
- floor_assign_r(u, upper(), ROUND_UP);
- return u >= l;
- }
-
- void drop_some_non_integer_points() {
- if (is_empty())
- return;
- if (lower_is_open() && !lower_is_boundary_infinity()) {
- add_assign_r(lower(), lower(), Boundary(1), ROUND_DOWN);
- floor_assign_r(lower(), lower(), ROUND_DOWN);
- info().set_boundary_property(LOWER, OPEN, false);
- }
- else
- ceil_assign_r(lower(), lower(), ROUND_DOWN);
- if (upper_is_open() && !upper_is_boundary_infinity()) {
- sub_assign_r(upper(), upper(), Boundary(1), ROUND_UP);
- ceil_assign_r(upper(), upper(), ROUND_UP);
- info().set_boundary_property(UPPER, OPEN, false);
- }
- else
- floor_assign_r(upper(), upper(), ROUND_UP);
- }
-
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value || Is_Interval<From>::value, I_Result>::type
- wrap_assign(Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- const From& refinement) {
- if (is_empty())
- return I_EMPTY;
- if (lower_is_boundary_infinity() || upper_is_boundary_infinity())
- return assign(refinement);
- PPL_DIRTY_TEMP(Boundary, u);
- Result result = sub_2exp_assign_r(u, upper(), w, ROUND_UP);
- if (result_overflow(result) == 0 && u > lower())
- return assign(refinement);
- info().clear();
- switch (r) {
- case UNSIGNED:
- umod_2exp_assign(LOWER, lower(), info(),
- LOWER, lower(), info(), w);
- umod_2exp_assign(UPPER, upper(), info(),
- UPPER, upper(), info(), w);
- break;
- case SIGNED_2_COMPLEMENT:
- smod_2exp_assign(LOWER, lower(), info(),
- LOWER, lower(), info(), w);
- smod_2exp_assign(UPPER, upper(), info(),
- UPPER, upper(), info(), w);
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
- if (le(LOWER, lower(), info(), UPPER, upper(), info()))
- return intersect_assign(refinement);
- PPL_DIRTY_TEMP(Interval, tmp);
- tmp.info().clear();
- Boundary_NS::assign(LOWER, tmp.lower(), tmp.info(),
- LOWER, lower(), info());
- set_unbounded(UPPER, tmp.upper(), tmp.info());
- tmp.intersect_assign(refinement);
- lower_extend();
- intersect_assign(refinement);
- return join_assign(tmp);
- }
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- void ascii_dump(std::ostream& s) const;
- bool ascii_load(std::istream& s);
-
- bool OK() const {
- if (!Info::may_be_empty && is_empty()) {
-#ifndef NDEBUG
- std::cerr << "The interval is unexpectedly empty.\n";
-#endif
- return false;
- }
-
- if (is_open(LOWER, lower(), info())) {
- if (is_plus_infinity(LOWER, lower(), info())) {
-#ifndef NDEBUG
- std::cerr << "The lower boundary is +inf open.\n";
-#endif
- }
- }
- else if (!Info::may_contain_infinity
- && (is_minus_infinity(LOWER, lower(), info())
- || is_plus_infinity(LOWER, lower(), info()))) {
-#ifndef NDEBUG
- std::cerr << "The lower boundary is unexpectedly infinity.\n";
-#endif
- return false;
- }
- if (!info().get_boundary_property(LOWER, SPECIAL)) {
- if (is_not_a_number(lower())) {
-#ifndef NDEBUG
- std::cerr << "The lower boundary is not a number.\n";
-#endif
- return false;
- }
- }
-
- if (is_open(UPPER, upper(), info())) {
- if (is_minus_infinity(UPPER, upper(), info())) {
-#ifndef NDEBUG
- std::cerr << "The upper boundary is -inf open.\n";
-#endif
- }
- }
- else if (!Info::may_contain_infinity
- && (is_minus_infinity(UPPER, upper(), info())
- || is_plus_infinity(UPPER, upper(), info()))) {
-#ifndef NDEBUG
- std::cerr << "The upper boundary is unexpectedly infinity."
- << std::endl;
-#endif
- return false;
- }
- if (!info().get_boundary_property(UPPER, SPECIAL)) {
- if (is_not_a_number(upper())) {
-#ifndef NDEBUG
- std::cerr << "The upper boundary is not a number.\n";
-#endif
- return false;
- }
- }
-
- // Everything OK.
- return true;
- }
-
- Interval() {
- }
-
- template <typename T>
- explicit Interval(const T& x) {
- assign(x);
- }
-
- /*! \brief
- Builds the smallest interval containing the number whose textual
- representation is contained in \p s.
- */
- explicit Interval(const char* s);
-
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
- contains(const T& y) const;
-
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
- strictly_contains(const T& y) const;
-
- template <typename T>
- typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
- is_disjoint_from(const T& y) const;
-
-
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- assign(const From& x);
-
- template <typename Type>
- typename Enable_If<Is_Singleton<Type>::value
- || Is_Interval<Type>::value, bool>::type
- can_be_exactly_joined_to(const Type& x) const;
-
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- join_assign(const From& x);
-
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
- join_assign(const From1& x, const From2& y);
-
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- intersect_assign(const From& x);
-
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
- intersect_assign(const From1& x, const From2& y);
-
- /*! \brief
- Assigns to \p *this the smallest interval containing the set-theoretic
- difference of \p *this and \p x.
- */
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- difference_assign(const From& x);
-
- /*! \brief
- Assigns to \p *this the smallest interval containing the set-theoretic
- difference of \p x and \p y.
- */
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
- difference_assign(const From1& x, const From2& y);
-
- /*! \brief
- Assigns to \p *this the largest interval contained in the set-theoretic
- difference of \p *this and \p x.
- */
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- lower_approximation_difference_assign(const From& x);
-
- /*! \brief
- Assigns to \p *this a \ref Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
-
- \return
- \c false if and only if the meet of \p *this and \p y is empty.
- */
- template <typename From>
- typename Enable_If<Is_Interval<From>::value, bool>::type
- simplify_using_context_assign(const From& y);
-
- /*! \brief
- Assigns to \p *this an interval having empty intersection with \p y.
- The assigned interval should be as large as possible.
- */
- template <typename From>
- typename Enable_If<Is_Interval<From>::value, void>::type
- empty_intersection_assign(const From& y);
-
- /*! \brief
- Refines \p to according to the existential relation \p rel with \p x.
-
- The \p to interval is restricted to become, upon successful exit,
- the smallest interval of its type that contains the set
- \f[
- \{\,
- a \in \mathtt{to}
- \mid
- \exists b \in \mathtt{x} \st a \mathrel{\mathtt{rel}} b
- \,\}.
- \f]
- \return
- ???
- */
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- refine_existential(Relation_Symbol rel, const From& x);
-
- /*! \brief
- Refines \p to so that it satisfies the universal relation \p rel with \p x.
-
- The \p to interval is restricted to become, upon successful exit,
- the smallest interval of its type that contains the set
- \f[
- \{\,
- a \in \mathtt{to}
- \mid
- \forall b \in \mathtt{x} \itc a \mathrel{\mathtt{rel}} b
- \,\}.
- \f]
- \return
- ???
- */
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- refine_universal(Relation_Symbol rel, const From& x);
-
- template <typename From>
- typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
- neg_assign(const From& x);
-
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
- add_assign(const From1& x, const From2& y);
-
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
- sub_assign(const From1& x, const From2& y);
-
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
- mul_assign(const From1& x, const From2& y);
-
- template <typename From1, typename From2>
- typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
- div_assign(const From1& x, const From2& y);
-
- template <typename From, typename Iterator>
- typename Enable_If<Is_Interval<From>::value, void>::type
- CC76_widening_assign(const From& y, Iterator first, Iterator last);
-
-private:
- Boundary lower_;
- Boundary upper_;
-};
-
-//! Swaps \p x with \p y.
-/*! \relates Interval */
-template <typename Boundary, typename Info>
-void swap(Interval<Boundary, Info>& x, Interval<Boundary, Info>& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Interval.inlines.hh"
-#include "Interval.templates.hh"
-
-#endif // !defined(PPL_Interval_defs_hh)
diff --git a/src/Interval.inlines.hh b/src/Interval.inlines.hh
deleted file mode 100644
index e2e3932..0000000
--- a/src/Interval.inlines.hh
+++ /dev/null
@@ -1,1151 +0,0 @@
-/* Inline functions for the Interval class and its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Interval_inlines_hh
-#define PPL_Interval_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Boundary, typename Info>
-inline memory_size_type
-Interval<Boundary, Info>::external_memory_in_bytes() const {
- return Parma_Polyhedra_Library::external_memory_in_bytes(lower())
- + Parma_Polyhedra_Library::external_memory_in_bytes(upper());
-}
-
-template <typename Boundary, typename Info>
-inline memory_size_type
-Interval<Boundary, Info>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename Boundary, typename Info>
-inline void
-Interval<Boundary, Info>::m_swap(Interval<Boundary, Info>& y) {
- using std::swap;
- swap(lower(), y.lower());
- swap(upper(), y.upper());
- swap(info(), y.info());
-}
-
-template <typename Boundary, typename Info>
-inline bool
-f_is_empty(const Interval<Boundary, Info>& x) {
- return x.is_empty();
-}
-template <typename Boundary, typename Info>
-inline bool
-f_is_singleton(const Interval<Boundary, Info>& x) {
- return x.is_singleton();
-}
-template <typename Boundary, typename Info>
-inline int
-infinity_sign(const Interval<Boundary, Info>& x) {
- return x.infinity_sign();
-}
-
-namespace Interval_NS {
-
-template <typename Boundary, typename Info>
-inline const Boundary&
-f_lower(const Interval<Boundary, Info>& x) {
- return x.lower();
-}
-template <typename Boundary, typename Info>
-inline const Boundary&
-f_upper(const Interval<Boundary, Info>& x) {
- return x.upper();
-}
-template <typename Boundary, typename Info>
-inline const Info&
-f_info(const Interval<Boundary, Info>& x) {
- return x.info();
-}
-
-struct Scalar_As_Interval_Policy {
- const_bool_nodef(may_be_empty, true);
- const_bool_nodef(may_contain_infinity, true);
- const_bool_nodef(check_inexact, false);
-};
-
-typedef Interval_Info_Null<Scalar_As_Interval_Policy>
-Scalar_As_Interval_Info;
-
-const Scalar_As_Interval_Info SCALAR_INFO;
-
-typedef Interval_Info_Null_Open<Scalar_As_Interval_Policy>
-Scalar_As_Interval_Info_Open;
-
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value, const T&>::type
-f_lower(const T& x) {
- return x;
-}
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value, const T&>::type
-f_upper(const T& x) {
- return x;
-}
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value,
- const Scalar_As_Interval_Info&>::type
-f_info(const T&) {
- return SCALAR_INFO;
-}
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value,
- Scalar_As_Interval_Info_Open>::type
-f_info(const T&, bool open) {
- return Scalar_As_Interval_Info_Open(open);
-}
-
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value, bool>::type
-f_is_empty(const T& x) {
- return is_not_a_number(x);
-}
-
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value, bool>::type
-f_is_singleton(const T& x) {
- return !f_is_empty(x);
-}
-
-} // namespace Interval_NS
-
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
-is_singleton_integer(const T& x) {
- return is_singleton(x) && is_integer(f_lower(x));
-}
-
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
-check_empty_arg(const T& x) {
- if (f_info(x).may_be_empty)
- return f_is_empty(x);
- else {
- PPL_ASSERT(!f_is_empty(x));
- return false;
- }
-}
-
-template <typename T1, typename T2>
-inline typename Enable_If<((Is_Singleton<T1>::value
- || Is_Interval<T1>::value)
- && (Is_Singleton<T2>::value
- || Is_Interval<T2>::value)
- && (Is_Interval<T1>::value
- || Is_Interval<T2>::value)),
- bool>::type
-operator==(const T1& x, const T2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(x))
- return check_empty_arg(y);
- else if (check_empty_arg(y))
- return false;
- return eq(LOWER, f_lower(x), f_info(x), LOWER, f_lower(y), f_info(y))
- && eq(UPPER, f_upper(x), f_info(x), UPPER, f_upper(y), f_info(y));
-}
-
-template <typename T1, typename T2>
-inline typename Enable_If<((Is_Singleton<T1>::value
- || Is_Interval<T1>::value)
- && (Is_Singleton<T2>::value
- || Is_Interval<T2>::value)
- && (Is_Interval<T1>::value
- || Is_Interval<T2>::value)),
- bool>::type
-operator!=(const T1& x, const T2& y) {
- return !(x == y);
-}
-
-template <typename Boundary, typename Info>
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
-Interval<Boundary, Info>::contains(const T& y) const {
- PPL_ASSERT(OK());
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(y))
- return true;
- if (check_empty_arg(*this))
- return false;
- return le(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
- && ge(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y));
-}
-
-template <typename Boundary, typename Info>
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
-Interval<Boundary, Info>::strictly_contains(const T& y) const {
- PPL_ASSERT(OK());
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(y))
- return !check_empty_arg(*this);
- if (check_empty_arg(*this))
- return false;
- return (lt(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
- && ge(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)))
- || (le(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
- && gt(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)));
-}
-
-template <typename Boundary, typename Info>
-template <typename T>
-inline typename Enable_If<Is_Singleton<T>::value
- || Is_Interval<T>::value, bool>::type
-Interval<Boundary, Info>::is_disjoint_from(const T& y) const {
- PPL_ASSERT(OK());
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(*this) || check_empty_arg(y))
- return true;
- return gt(LOWER, lower(), info(), UPPER, f_upper(y), f_info(y))
- || lt(UPPER, upper(), info(), LOWER, f_lower(y), f_info(y));
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>::assign(const From& x) {
- PPL_ASSERT(f_OK(x));
- if (check_empty_arg(x))
- return assign(EMPTY);
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl = Boundary_NS::assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x));
- Result ru = Boundary_NS::assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x));
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>::join_assign(const From& x) {
- PPL_ASSERT(f_OK(x));
- if (check_empty_arg(*this))
- return assign(x);
- if (check_empty_arg(x))
- return combine(V_EQ, V_EQ);
- Result rl, ru;
- rl = min_assign(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
- ru = max_assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::join_assign(const From1& x, const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(x))
- return assign(y);
- if (check_empty_arg(y))
- return assign(x);
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl, ru;
- rl = min_assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
- ru = max_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename Boundary, typename Info>
-template <typename Type>
-inline typename Enable_If<Is_Singleton<Type>::value
- || Is_Interval<Type>::value, bool>::type
-Interval<Boundary, Info>::can_be_exactly_joined_to(const Type& x) const {
- PPL_DIRTY_TEMP(Boundary, b);
- if (gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x))) {
- b = lower();
- return eq(LOWER, b, info(), UPPER, f_upper(x), f_info(x));
- }
- else if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x))) {
- b = upper();
- return eq(UPPER, b, info(), LOWER, f_lower(x), f_info(x));
- }
- return true;
-}
-
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>::intersect_assign(const From& x) {
- PPL_ASSERT(f_OK(x));
- max_assign(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
- min_assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
- PPL_ASSERT(OK());
- return I_ANY;
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::intersect_assign(const From1& x,
- const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- max_assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
- min_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return I_NOT_EMPTY;
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>::difference_assign(const From& x) {
- PPL_ASSERT(f_OK(x));
- if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x))
- || gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- bool nl = ge(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
- bool nu = le(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
- Result rl = V_EQ, ru = V_EQ;
- if (nl) {
- if (nu)
- return assign(EMPTY);
- else {
- info().clear_boundary_properties(LOWER);
- rl = complement(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x));
- }
- }
- else if (nu) {
- info().clear_boundary_properties(UPPER);
- ru = complement(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x));
- }
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::difference_assign(const From1& x,
- const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- if (lt(UPPER, f_upper(x), f_info(x), LOWER, f_lower(y), f_info(y))
- || gt(LOWER, f_lower(x), f_info(x), UPPER, f_upper(y), f_info(y)))
- return assign(x);
- bool nl = ge(LOWER, f_lower(x), f_info(x), LOWER, f_lower(y), f_info(y));
- bool nu = le(UPPER, f_upper(x), f_info(x), UPPER, f_upper(y), f_info(y));
- Result rl = V_EQ, ru = V_EQ;
- if (nl) {
- if (nu)
- return assign(EMPTY);
- else {
- rl = complement(LOWER, lower(), info(), UPPER, f_upper(y), f_info(y));
- ru = Boundary_NS::assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
- }
- }
- else if (nu) {
- ru = complement(UPPER, upper(), info(), LOWER, f_lower(y), f_info(y));
- rl = Boundary_NS::assign(LOWER, lower(), info(),
- LOWER, f_lower(x), f_info(x));
- }
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>
-::refine_existential(Relation_Symbol rel, const From& x) {
- PPL_ASSERT(OK());
- PPL_ASSERT(f_OK(x));
- if (check_empty_arg(x))
- return assign(EMPTY);
- switch (rel) {
- case LESS_THAN:
- {
- if (lt(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(UPPER);
- Boundary_NS::assign(UPPER, upper(), info(),
- UPPER, f_upper(x), f_info(x), true);
- return I_ANY;
- }
- case LESS_OR_EQUAL:
- {
- if (le(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(UPPER);
- Boundary_NS::assign(UPPER, upper(), info(),
- UPPER, f_upper(x), f_info(x));
- return I_ANY;
- }
- case GREATER_THAN:
- {
- if (gt(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(LOWER);
- Boundary_NS::assign(LOWER, lower(), info(),
- LOWER, f_lower(x), f_info(x), true);
- return I_ANY;
- }
- case GREATER_OR_EQUAL:
- {
- if (ge(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(LOWER);
- Boundary_NS::assign(LOWER, lower(), info(),
- LOWER, f_lower(x), f_info(x));
- return I_ANY;
- }
- case EQUAL:
- return intersect_assign(x);
- case NOT_EQUAL:
- {
- if (!f_is_singleton(x))
- return combine(V_EQ, V_EQ);
- if (check_empty_arg(*this))
- return I_EMPTY;
- if (eq(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- remove_inf();
- if (eq(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- remove_sup();
- return I_ANY;
- }
- default:
- PPL_UNREACHABLE;
- return I_EMPTY;
- }
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>::refine_universal(Relation_Symbol rel,
- const From& x) {
- PPL_ASSERT(OK());
- PPL_ASSERT(f_OK(x));
- if (check_empty_arg(x))
- return combine(V_EQ, V_EQ);
- switch (rel) {
- case LESS_THAN:
- {
- if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(UPPER);
- Result ru = Boundary_NS::assign(UPPER, upper(), info(),
- LOWER, f_lower(x), SCALAR_INFO,
- !is_open(LOWER, f_lower(x), f_info(x)));
- PPL_USED(ru);
- return I_ANY;
- }
- case LESS_OR_EQUAL:
- {
- if (le(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(UPPER);
- Result ru = Boundary_NS::assign(UPPER, upper(), info(),
- LOWER, f_lower(x), SCALAR_INFO);
- PPL_USED(ru);
- return I_ANY;
- }
- case GREATER_THAN:
- {
- if (gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(LOWER);
- Result rl = Boundary_NS::assign(LOWER, lower(), info(),
- UPPER, f_upper(x), SCALAR_INFO,
- !is_open(UPPER, f_upper(x), f_info(x)));
- PPL_USED(rl);
- return I_ANY;
- }
- case GREATER_OR_EQUAL:
- {
- if (ge(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
- info().clear_boundary_properties(LOWER);
- Result rl = Boundary_NS::assign(LOWER, lower(), info(),
- UPPER, f_upper(x), SCALAR_INFO);
- PPL_USED(rl);
- return I_ANY;
- }
- case EQUAL:
- if (!f_is_singleton(x))
- return assign(EMPTY);
- return intersect_assign(x);
- case NOT_EQUAL:
- {
- if (check_empty_arg(*this))
- return I_EMPTY;
- if (eq(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- remove_inf();
- if (eq(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- remove_sup();
- return I_ANY;
- }
- default:
- PPL_UNREACHABLE;
- return I_EMPTY;
- }
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From>
-inline typename Enable_If<Is_Singleton<From>::value
- || Is_Interval<From>::value, I_Result>::type
-Interval<To_Boundary, To_Info>::neg_assign(const From& x) {
- PPL_ASSERT(f_OK(x));
- if (check_empty_arg(x))
- return assign(EMPTY);
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl, ru;
- PPL_DIRTY_TEMP(To_Boundary, to_lower);
- rl = Boundary_NS::neg_assign(LOWER, to_lower, to_info, UPPER, f_upper(x), f_info(x));
- ru = Boundary_NS::neg_assign(UPPER, upper(), to_info, LOWER, f_lower(x), f_info(x));
- assign_or_swap(lower(), to_lower);
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::add_assign(const From1& x, const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(x) || check_empty_arg(y))
- return assign(EMPTY);
- int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
- if (inf_sign != 0) {
- if (Parma_Polyhedra_Library::infinity_sign(y) == -inf_sign)
- return assign(EMPTY);
- }
- else
- inf_sign = Parma_Polyhedra_Library::infinity_sign(y);
- if (inf_sign < 0)
- return assign(MINUS_INFINITY);
- else if (inf_sign > 0)
- return assign(PLUS_INFINITY);
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl = Boundary_NS::add_assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
- Result ru = Boundary_NS::add_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::sub_assign(const From1& x, const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(x) || check_empty_arg(y))
- return assign(EMPTY);
- int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
- if (inf_sign != 0) {
- if (Parma_Polyhedra_Library::infinity_sign(y) == inf_sign)
- return assign(EMPTY);
- }
- else
- inf_sign = -Parma_Polyhedra_Library::infinity_sign(y);
- if (inf_sign < 0)
- return assign(MINUS_INFINITY);
- else if (inf_sign > 0)
- return assign(PLUS_INFINITY);
-
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl, ru;
- PPL_DIRTY_TEMP(To_Boundary, to_lower);
- rl = Boundary_NS::sub_assign(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
- ru = Boundary_NS::sub_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
- assign_or_swap(lower(), to_lower);
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-/**
-+---------+-----------+-----------+-----------------+
-| * | yl > 0 | yu < 0 | yl < 0, yu > 0 |
-+---------+-----------+-----------+-----------------+
-| xl > 0 |xl*yl,xu*yu|xu*yl,xl*yu| xu*yl,xu*yu |
-+---------+-----------+-----------+-----------------+
-| xu < 0 |xl*yu,xu*yl|xu*yu,xl*yl| xl*yu,xl*yl |
-+---------+-----------+-----------+-----------------+
-|xl<0 xu>0|xl*yu,xu*yu|xu*yl,xl*yl|min(xl*yu,xu*yl),|
-| | | |max(xl*yl,xu*yu) |
-+---------+-----------+-----------+-----------------+
-**/
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::mul_assign(const From1& x, const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(x) || check_empty_arg(y))
- return assign(EMPTY);
- int xls = sgn_b(LOWER, f_lower(x), f_info(x));
- int xus = (xls > 0) ? 1 : sgn_b(UPPER, f_upper(x), f_info(x));
- int yls = sgn_b(LOWER, f_lower(y), f_info(y));
- int yus = (yls > 0) ? 1 : sgn_b(UPPER, f_upper(y), f_info(y));
- int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
- int ls, us;
- if (inf_sign != 0) {
- ls = yls;
- us = yus;
- goto inf;
- }
- else {
- inf_sign = Parma_Polyhedra_Library::infinity_sign(y);
- if (inf_sign != 0) {
- ls = xls;
- us = xus;
- inf:
- if (ls == 0 && us == 0)
- return assign(EMPTY);
- if (ls == -us)
- return set_infinities();
- if (ls < 0 || us < 0)
- inf_sign = -inf_sign;
- if (inf_sign < 0)
- return assign(MINUS_INFINITY);
- else
- return assign(PLUS_INFINITY);
- }
- }
-
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl, ru;
- PPL_DIRTY_TEMP(To_Boundary, to_lower);
-
- if (xls >= 0) {
- if (yls >= 0) {
- // 0 <= xl <= xu, 0 <= yl <= yu
- rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- }
- else if (yus <= 0) {
- // 0 <= xl <= xu, yl <= yu <= 0
- rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- }
- else {
- // 0 <= xl <= xu, yl < 0 < yu
- rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- }
- }
- else if (xus <= 0) {
- if (yls >= 0) {
- // xl <= xu <= 0, 0 <= yl <= yu
- rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- }
- else if (yus <= 0) {
- // xl <= xu <= 0, yl <= yu <= 0
- rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- }
- else {
- // xl <= xu <= 0, yl < 0 < yu
- rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- }
- }
- else if (yls >= 0) {
- // xl < 0 < xu, 0 <= yl <= yu
- rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- }
- else if (yus <= 0) {
- // xl < 0 < xu, yl <= yu <= 0
- rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- }
- else {
- // xl < 0 < xu, yl < 0 < yu
- PPL_DIRTY_TEMP(To_Boundary, tmp);
- PPL_DIRTY_TEMP(To_Info, tmp_info);
- tmp_info.clear();
- Result tmp_r;
- tmp_r = Boundary_NS::mul_assign(LOWER, tmp, tmp_info,
- UPPER, f_upper(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
- rl = Boundary_NS::mul_assign(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
- if (gt(LOWER, to_lower, to_info, LOWER, tmp, tmp_info)) {
- to_lower = tmp;
- rl = tmp_r;
- }
- tmp_info.clear();
- tmp_r = Boundary_NS::mul_assign(UPPER, tmp, tmp_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
- ru = Boundary_NS::mul_assign(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
- if (lt(UPPER, upper(), to_info, UPPER, tmp, tmp_info)) {
- upper() = tmp;
- ru = tmp_r;
- }
- }
- assign_or_swap(lower(), to_lower);
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-/**
-+-----------+-----------+-----------+
-| / | yu < 0 | yl > 0 |
-+-----------+-----------+-----------+
-| xu<=0 |xu/yl,xl/yu|xl/yl,xu/yu|
-+-----------+-----------+-----------+
-|xl<=0 xu>=0|xu/yu,xl/yu|xl/yl,xu/yl|
-+-----------+-----------+-----------+
-| xl>=0 |xu/yu,xl/yl|xl/yu,xu/yl|
-+-----------+-----------+-----------+
-**/
-template <typename To_Boundary, typename To_Info>
-template <typename From1, typename From2>
-inline typename Enable_If<((Is_Singleton<From1>::value
- || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
- || Is_Interval<From2>::value)), I_Result>::type
-Interval<To_Boundary, To_Info>::div_assign(const From1& x, const From2& y) {
- PPL_ASSERT(f_OK(x));
- PPL_ASSERT(f_OK(y));
- if (check_empty_arg(x) || check_empty_arg(y))
- return assign(EMPTY);
- int yls = sgn_b(LOWER, f_lower(y), f_info(y));
- int yus = (yls > 0) ? 1 : sgn_b(UPPER, f_upper(y), f_info(y));
- if (yls == 0 && yus == 0)
- return assign(EMPTY);
- int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
- if (inf_sign != 0) {
- if (Parma_Polyhedra_Library::infinity_sign(y) != 0)
- return assign(EMPTY);
- if (yls == -yus)
- return set_infinities();
- if (yls < 0 || yus < 0)
- inf_sign = -inf_sign;
- if (inf_sign < 0)
- return assign(MINUS_INFINITY);
- else
- return assign(PLUS_INFINITY);
- }
- int xls = sgn_b(LOWER, f_lower(x), f_info(x));
- int xus = (xls > 0) ? 1 : sgn_b(UPPER, f_upper(x), f_info(x));
-
- PPL_DIRTY_TEMP(To_Info, to_info);
- to_info.clear();
- Result rl, ru;
- PPL_DIRTY_TEMP(To_Boundary, to_lower);
- if (yls >= 0) {
- if (xls >= 0) {
- rl = div_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- ru = div_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- }
- else if (xus <= 0) {
- rl = div_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- ru = div_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- }
- else {
- rl = div_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- ru = div_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- }
- }
- else if (yus <= 0) {
- if (xls >= 0) {
- rl = div_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- ru = div_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
- }
- else if (xus <= 0) {
- rl = div_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
- ru = div_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- }
- else {
- rl = div_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
- ru = div_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
- }
- }
- else {
- return static_cast<I_Result>(assign(UNIVERSE) | I_SINGULARITIES);
- }
- assign_or_swap(lower(), to_lower);
- assign_or_swap(info(), to_info);
- PPL_ASSERT(OK());
- return combine(rl, ru);
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator+(const Interval<B, Info>& x, const T& y) {
- Interval<B, Info> z;
- z.add_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator+(const T& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.add_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info>
-inline Interval<B, Info>
-operator+(const Interval<B, Info>& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.add_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator-(const Interval<B, Info>& x, const T& y) {
- Interval<B, Info> z;
- z.sub_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator-(const T& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.sub_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info>
-inline Interval<B, Info>
-operator-(const Interval<B, Info>& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.sub_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator*(const Interval<B, Info>& x, const T& y) {
- Interval<B, Info> z;
- z.mul_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator*(const T& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.mul_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info>
-inline Interval<B, Info>
-operator*(const Interval<B, Info>& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.mul_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator/(const Interval<B, Info>& x, const T& y) {
- Interval<B, Info> z;
- z.div_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info, typename T>
-inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
-operator/(const T& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.div_assign(x, y);
- return z;
-}
-
-template <typename B, typename Info>
-inline Interval<B, Info>
-operator/(const Interval<B, Info>& x, const Interval<B, Info>& y) {
- Interval<B, Info> z;
- z.div_assign(x, y);
- return z;
-}
-
-template <typename Boundary, typename Info>
-inline std::ostream&
-operator<<(std::ostream& os, const Interval<Boundary, Info>& x) {
- if (check_empty_arg(x))
- return os << "[]";
- if (x.is_singleton()) {
- output(os, x.lower(), Numeric_Format(), ROUND_NOT_NEEDED);
- return os;
- }
- os << (x.lower_is_open() ? "(" : "[");
- if (x.info().get_boundary_property(LOWER, SPECIAL))
- os << "-inf";
- else
- output(os, x.lower(), Numeric_Format(), ROUND_NOT_NEEDED);
- os << ", ";
- if (x.info().get_boundary_property(UPPER, SPECIAL))
- os << "+inf";
- else
- output(os, x.upper(), Numeric_Format(), ROUND_NOT_NEEDED);
- os << (x.upper_is_open() ? ")" : "]");
- return os;
-}
-
-template <typename Boundary, typename Info>
-inline void
-Interval<Boundary, Info>::ascii_dump(std::ostream& s) const {
- using Parma_Polyhedra_Library::ascii_dump;
- s << "info ";
- info().ascii_dump(s);
- s << " lower ";
- ascii_dump(s, lower());
- s << " upper ";
- ascii_dump(s, upper());
- s << '\n';
-}
-
-template <typename Boundary, typename Info>
-inline bool
-Interval<Boundary, Info>::ascii_load(std::istream& s) {
- using Parma_Polyhedra_Library::ascii_load;
- std::string str;
- if (!(s >> str) || str != "info")
- return false;
- if (!info().ascii_load(s))
- return false;
- if (!(s >> str) || str != "lower")
- return false;
- if (!ascii_load(s, lower()))
- return false;
- if (!(s >> str) || str != "upper")
- return false;
- if (!ascii_load(s, upper()))
- return false;
- PPL_ASSERT(OK());
- return true;
-}
-
-/*! \brief
- Helper class to select the appropriate numerical type to perform
- boundary computations so as to reduce the chances of overflow without
- incurring too much overhead.
-*/
-template <typename Interval_Boundary_Type> struct Select_Temp_Boundary_Type;
-
-template <typename Interval_Boundary_Type>
-struct Select_Temp_Boundary_Type {
- typedef Interval_Boundary_Type type;
-};
-
-#if PPL_SUPPORTED_DOUBLE
-template <>
-struct Select_Temp_Boundary_Type<float> {
- typedef double type;
-};
-#endif
-
-template <>
-struct Select_Temp_Boundary_Type<char> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<signed char> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<unsigned char> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<signed short> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<unsigned short> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<signed int> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<unsigned int> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<signed long> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<unsigned long> {
- typedef signed long long type;
-};
-
-template <>
-struct Select_Temp_Boundary_Type<unsigned long long> {
- typedef signed long long type;
-};
-
-/*! \relates Interval */
-template <typename Boundary, typename Info>
-inline void
-swap(Interval<Boundary, Info>& x, Interval<Boundary, Info>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Interval_inlines_hh)
diff --git a/src/Interval.templates.hh b/src/Interval.templates.hh
deleted file mode 100644
index d785ac1..0000000
--- a/src/Interval.templates.hh
+++ /dev/null
@@ -1,402 +0,0 @@
-/* Interval class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Interval_templates_hh
-#define PPL_Interval_templates_hh 1
-
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Boundary, typename Info>
-template <typename C>
-typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
-Interval<Boundary, Info>::lower_extend(const C& c) {
- PPL_ASSERT(OK());
- bool open;
- switch (c.rel()) {
- case V_LGE:
- return lower_extend();
- case V_NAN:
- return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
- case V_GT:
- open = true;
- break;
- case V_GE: // Fall through.
- case V_EQ:
- open = false;
- break;
- default:
- PPL_UNREACHABLE;
- return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
- }
- min_assign(LOWER, lower(), info(), LOWER, c.value(), f_info(c.value(), open));
- PPL_ASSERT(OK());
- return I_ANY;
-}
-
-template <typename Boundary, typename Info>
-template <typename C>
-typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
-Interval<Boundary, Info>::upper_extend(const C& c) {
- PPL_ASSERT(OK());
- bool open;
- switch (c.rel()) {
- case V_LGE:
- return lower_extend();
- case V_NAN:
- return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
- case V_LT:
- open = true;
- break;
- case V_LE: // Fall through.
- case V_EQ:
- open = false;
- break;
- default:
- PPL_UNREACHABLE;
- return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
- }
- max_assign(UPPER, upper(), info(), UPPER, c.value(), f_info(c.value(), open));
- PPL_ASSERT(OK());
- return I_ANY;
-}
-
-template <typename Boundary, typename Info>
-template <typename From, typename Iterator>
-typename Enable_If<Is_Interval<From>::value, void>::type
-Interval<Boundary, Info>::CC76_widening_assign(const From& y,
- Iterator first,
- Iterator last) {
- // We assume that `y' is contained in or equal to `*this'.
- PPL_ASSERT(contains(y));
- Interval<Boundary, Info>& x = *this;
-
- // Upper bound.
- if (!x.upper_is_boundary_infinity()) {
- Boundary& x_ub = x.upper();
- const Boundary& y_ub = y.upper();
- PPL_ASSERT(!y.upper_is_boundary_infinity() && y_ub <= x_ub);
- if (y_ub < x_ub) {
- Iterator k = std::lower_bound(first, last, x_ub);
- if (k != last) {
- if (x_ub < *k)
- x_ub = *k;
- }
- else
- x.upper_extend();
- }
- }
-
- // Lower bound.
- if (!x.lower_is_boundary_infinity()) {
- Boundary& x_lb = x.lower();
- const Boundary& y_lb = y.lower();
- PPL_ASSERT(!y.lower_is_boundary_infinity() && y_lb >= x_lb);
- if (y_lb > x_lb) {
- Iterator k = std::lower_bound(first, last, x_lb);
- if (k != last) {
- if (x_lb < *k) {
- if (k != first)
- x_lb = *--k;
- else
- x.lower_extend();
- }
- }
- else {
- if (k != first)
- x_lb = *--k;
- else
- x.lower_extend();
- }
- }
- }
-}
-
-template <typename Boundary, typename Info>
-Interval<Boundary, Info>::Interval(const char* s) {
- // Get the lower bound.
- Boundary lower_bound;
- Result lower_r = assign_r(lower_bound, s, ROUND_DOWN);
- if (lower_r == V_CVT_STR_UNK || lower_r == V_NAN) {
- throw std::invalid_argument("PPL::Interval(const char* s)"
- " with s invalid");
- }
- lower_r = result_relation_class(lower_r);
-
- // Get the upper bound.
- Boundary upper_bound;
- Result upper_r = assign_r(upper_bound, s, ROUND_UP);
- PPL_ASSERT(upper_r != V_CVT_STR_UNK && upper_r != V_NAN);
- upper_r = result_relation_class(upper_r);
-
- // Build the interval.
- bool lower_open = false;
- bool upper_open = false;
- bool lower_boundary_infinity = false;
- bool upper_boundary_infinity = false;
- switch (lower_r) {
- case V_EQ: // Fall through.
- case V_GE:
- break;
- case V_GT:
- lower_open = true;
- break;
- case V_GT_MINUS_INFINITY:
- lower_open = true;
- // Fall through.
- case V_EQ_MINUS_INFINITY:
- lower_boundary_infinity = true;
- break;
- case V_EQ_PLUS_INFINITY: // Fall through.
- case V_LT_PLUS_INFINITY:
- if (upper_r == V_EQ_PLUS_INFINITY || upper_r == V_LT_PLUS_INFINITY)
- assign(UNIVERSE);
- else
- assign(EMPTY);
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
- switch (upper_r) {
- case V_EQ: // Fall through.
- case V_LE:
- break;
- case V_LT:
- upper_open = true;
- break;
- case V_EQ_MINUS_INFINITY: // Fall through.
- case V_GT_MINUS_INFINITY:
- if (lower_r == V_EQ_MINUS_INFINITY || lower_r == V_GT_MINUS_INFINITY)
- assign(UNIVERSE);
- else
- assign(EMPTY);
- break;
- case V_LT_PLUS_INFINITY:
- upper_open = true;
- // Fall through.
- case V_EQ_PLUS_INFINITY:
- upper_boundary_infinity = true;
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
-
- if (!lower_boundary_infinity
- && !upper_boundary_infinity
- && (lower_bound > upper_bound
- || (lower_open && lower_bound == upper_bound)))
- assign(EMPTY);
- else {
- if (lower_boundary_infinity)
- set_minus_infinity(LOWER, lower(), info(), lower_open);
- else
- Boundary_NS::assign(LOWER, lower(), info(),
- LOWER, lower_bound, SCALAR_INFO, lower_open);
- if (upper_boundary_infinity)
- set_plus_infinity(UPPER, upper(), info(), upper_open);
- else
- Boundary_NS::assign(UPPER, upper(), info(),
- UPPER, upper_bound, SCALAR_INFO, upper_open);
- }
-}
-
-
-template <typename Boundary, typename Info>
-inline std::istream&
-operator>>(std::istream& is, Interval<Boundary, Info>& x) {
- Boundary lower_bound;
- Boundary upper_bound;
- bool lower_boundary_infinity = false;
- bool upper_boundary_infinity = false;
- bool lower_open = false;
- bool upper_open = false;
- Result lower_r;
- Result upper_r;
-
- // Eat leading white space.
- char c;
- do {
- if (!is.get(c))
- goto fail;
- } while (is_space(c));
-
- // Get the opening parenthesis and handle the empty interval case.
- if (c == '(')
- lower_open = true;
- else if (c == '[') {
- if (!is.get(c))
- goto fail;
- if (c == ']') {
- // Empty interval.
- x.assign(EMPTY);
- return is;
- }
- else
- is.unget();
- }
- else
- goto unexpected;
-
- // Get the lower bound.
- lower_r = input(lower_bound, is, ROUND_DOWN);
- if (lower_r == V_CVT_STR_UNK || lower_r == V_NAN)
- goto fail;
- lower_r = result_relation_class(lower_r);
-
- // Match the comma separating the lower and upper bounds.
- do {
- if (!is.get(c))
- goto fail;
- } while (is_space(c));
- if (c != ',')
- goto unexpected;
-
- // Get the upper bound.
- upper_r = input(upper_bound, is, ROUND_UP);
- if (upper_r == V_CVT_STR_UNK || upper_r == V_NAN)
- goto fail;
- upper_r = result_relation_class(upper_r);
-
- // Get the closing parenthesis.
- do {
- if (!is.get(c))
- goto fail;
- } while (is_space(c));
- if (c == ')')
- upper_open = true;
- else if (c != ']') {
- unexpected:
- is.unget();
- fail:
- is.setstate(std::ios::failbit);
- return is;
- }
-
- // Build interval.
- switch (lower_r) {
- case V_EQ: // Fall through.
- case V_GE:
- break;
- case V_GT:
- lower_open = true;
- break;
- case V_GT_MINUS_INFINITY:
- lower_open = true;
- // Fall through.
- case V_EQ_MINUS_INFINITY:
- lower_boundary_infinity = true;
- break;
- case V_EQ_PLUS_INFINITY: // Fall through.
- case V_LT_PLUS_INFINITY:
- if (upper_r == V_EQ_PLUS_INFINITY || upper_r == V_LT_PLUS_INFINITY)
- x.assign(UNIVERSE);
- else
- x.assign(EMPTY);
- return is;
- default:
- PPL_UNREACHABLE;
- break;
- }
- switch (upper_r) {
- case V_EQ: // Fall through.
- case V_LE:
- break;
- case V_LT:
- upper_open = true;
- break;
- case V_GT_MINUS_INFINITY:
- upper_open = true;
- // Fall through.
- case V_EQ_MINUS_INFINITY:
- if (lower_r == V_EQ_MINUS_INFINITY || lower_r == V_GT_MINUS_INFINITY)
- x.assign(UNIVERSE);
- else
- x.assign(EMPTY);
- return is;
- case V_EQ_PLUS_INFINITY: // Fall through.
- case V_LT_PLUS_INFINITY:
- upper_boundary_infinity = true;
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
-
- if (!lower_boundary_infinity
- && !upper_boundary_infinity
- && (lower_bound > upper_bound
- || (lower_open && lower_bound == upper_bound)))
- x.assign(EMPTY);
- else {
- if (lower_boundary_infinity)
- set_minus_infinity(LOWER, x.lower(), x.info(), lower_open);
- else
- assign(LOWER, x.lower(), x.info(),
- LOWER, lower_bound, SCALAR_INFO, lower_open);
- if (upper_boundary_infinity)
- set_plus_infinity(UPPER, x.upper(), x.info(), upper_open);
- else
- assign(UPPER, x.upper(), x.info(),
- UPPER, upper_bound, SCALAR_INFO, upper_open);
- }
- return is;
-}
-
-template <typename Boundary, typename Info>
-template <typename From>
-typename Enable_If<Is_Interval<From>::value, bool>::type
-Interval<Boundary, Info>::simplify_using_context_assign(const From& y) {
- // FIXME: the following code wrongly assumes that intervals are closed
- if (lt(UPPER, upper(), info(), LOWER, f_lower(y), f_info(y))) {
- lower_extend();
- return false;
- }
- if (gt(LOWER, lower(), info(), UPPER, f_upper(y), f_info(y))) {
- upper_extend();
- return false;
- }
- // Weakening the upper bound.
- if (!upper_is_boundary_infinity() && !y.upper_is_boundary_infinity()
- && y.upper() <= upper())
- upper_extend();
- // Weakening the lower bound.
- if (!lower_is_boundary_infinity() && !y.lower_is_boundary_infinity()
- && y.lower() >= lower())
- lower_extend();
- return true;
-}
-
-template <typename Boundary, typename Info>
-template <typename From>
-typename Enable_If<Is_Interval<From>::value, void>::type
-Interval<Boundary, Info>::empty_intersection_assign(const From&) {
- // FIXME: write me.
- assign(EMPTY);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Interval_templates_hh)
diff --git a/src/Interval.types.hh b/src/Interval.types.hh
deleted file mode 100644
index 4e75397..0000000
--- a/src/Interval.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Interval_types_hh
-#define PPL_Interval_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Boundary, typename Info>
-class Interval;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Interval_types_hh)
diff --git a/src/Interval_Info.defs.hh b/src/Interval_Info.defs.hh
deleted file mode 100644
index 04fb3e9..0000000
--- a/src/Interval_Info.defs.hh
+++ /dev/null
@@ -1,285 +0,0 @@
-/* Interval_Info class declaration and implementation.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Interval_Info_defs_hh
-#define PPL_Interval_Info_defs_hh 1
-
-#include "Boundary.defs.hh"
-
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Interval_NS {
-
-struct Property {
- enum Type {
- CARDINALITY_0_,
- CARDINALITY_1_,
- CARDINALITY_IS_
- };
- typedef bool Value;
- static const Value default_value = true;
- static const Value unsupported_value = false;
- Property(Type t)
- : type(t) {
- }
- Type type;
-};
-
-const Property CARDINALITY_0(Property::CARDINALITY_0_);
-const Property CARDINALITY_1(Property::CARDINALITY_1_);
-const Property CARDINALITY_IS(Property::CARDINALITY_IS_);
-
-template <typename T>
-inline void
-reset_bits(T& bits) {
- bits = 0;
-}
-
-template <typename T>
-inline void
-reset_bit(T& bits, unsigned int bit) {
- bits &= ~(static_cast<T>(1) << bit);
-}
-
-template <typename T>
-inline void
-set_bit(T& bits, unsigned int bit, bool value) {
- if (value)
- bits |= static_cast<T>(1) << bit;
- else
- reset_bit(bits, bit);
-}
-
-template <typename T>
-inline bool
-get_bit(const T& bits, unsigned int bit) {
- return (bits & (static_cast<T>(1) << bit)) != 0;
-}
-
-template <typename T>
-inline void
-set_bits(T& bits, unsigned int start, unsigned int len, T value) {
- bits &= ~(((static_cast<T>(1) << len) - 1) << start);
- bits |= value << start;
-}
-
-template <typename T>
-inline T
-get_bits(T& bits, unsigned int start, unsigned int len) {
- return (bits >> start) & ((static_cast<T>(1) << len) - 1);
-}
-
-} // namespace Interval_NS
-
-using namespace Interval_NS;
-using namespace Boundary_NS;
-
-
-template <typename Policy>
-class Interval_Info_Null {
-public:
- const_bool_nodef(may_be_empty, Policy::may_be_empty);
- const_bool_nodef(may_contain_infinity, Policy::may_contain_infinity);
- const_bool_nodef(check_inexact, Policy::check_inexact);
- const_bool_nodef(store_special, false);
- const_bool_nodef(store_open, false);
- const_bool_nodef(cache_empty, false);
- const_bool_nodef(cache_singleton, false);
- Interval_Info_Null() {
- }
- void clear() {
- }
- void clear_boundary_properties(Boundary_Type) {
- }
-
- template <typename Property>
- void set_boundary_property(Boundary_Type, const Property&, typename Property::Value = Property::default_value) {
- }
- template <typename Property>
- typename Property::Value get_boundary_property(Boundary_Type, const Property&) const {
- return Property::unsupported_value;
- }
- template <typename Property>
- void set_interval_property(const Property&, typename Property::Value = Property::default_value) {
- }
- template <typename Property>
- typename Property::Value get_interval_property(const Property&) const {
- return Property::unsupported_value;
- }
-
- //! Swaps \p *this with \p y.
- void m_swap(Interval_Info_Null& y);
-
- void ascii_dump(std::ostream& s) const;
- bool ascii_load(std::istream& s);
-};
-
-template <typename Policy>
-class Interval_Info_Null_Open : public Interval_Info_Null<Policy> {
-public:
- const_bool_nodef(store_open, true);
- Interval_Info_Null_Open(bool o)
- : open(o) {
- }
- bool get_boundary_property(Boundary_Type,
- const Boundary_NS::Property& p) const {
- if (p.type == Boundary_NS::Property::OPEN_)
- return open;
- else
- return Boundary_NS::Property::unsupported_value;
- }
-
- void ascii_dump(std::ostream& s) const;
- bool ascii_load(std::istream& s);
-
-private:
- bool open;
-};
-
-
-template <typename T, typename Policy>
-class Interval_Info_Bitset {
-public:
- const_bool_nodef(may_be_empty, Policy::may_be_empty);
- const_bool_nodef(may_contain_infinity, Policy::may_contain_infinity);
- const_bool_nodef(check_inexact, Policy::check_inexact);
- const_bool_nodef(store_special, Policy::store_special);
- const_bool_nodef(store_open, Policy::store_open);
- const_bool_nodef(cache_empty, Policy::cache_empty);
- const_bool_nodef(cache_singleton, Policy::cache_singleton);
- const_int_nodef(lower_special_bit, Policy::next_bit);
- const_int_nodef(lower_open_bit, lower_special_bit + (store_special ? 1 : 0));
- const_int_nodef(upper_special_bit, lower_open_bit + (store_open ? 1 : 0));
- const_int_nodef(upper_open_bit, upper_special_bit + (store_special ? 1 : 0));
- const_int_nodef(cardinality_is_bit, upper_open_bit + (store_open ? 1 : 0));
- const_int_nodef(cardinality_0_bit, cardinality_is_bit
- + ((cache_empty || cache_singleton) ? 1 : 0));
- const_int_nodef(cardinality_1_bit, cardinality_0_bit + (cache_empty ? 1 : 0));
- const_int_nodef(next_bit, cardinality_1_bit + (cache_singleton ? 1 : 0));
-
- Interval_Info_Bitset() {
- // FIXME: would we have speed benefits with uninitialized info?
- // (Dirty_Temp)
- clear();
- }
-
- void clear() {
- reset_bits(bitset);
- }
- void clear_boundary_properties(Boundary_Type t) {
- set_boundary_property(t, SPECIAL, false);
- set_boundary_property(t, OPEN, false);
- }
- void set_boundary_property(Boundary_Type t,
- const Boundary_NS::Property& p,
- bool value = true) {
- switch (p.type) {
- case Boundary_NS::Property::SPECIAL_:
- if (store_special) {
- if (t == LOWER)
- set_bit(bitset, lower_special_bit, value);
- else
- set_bit(bitset, upper_special_bit, value);
- }
- break;
- case Boundary_NS::Property::OPEN_:
- if (store_open) {
- if (t == LOWER)
- set_bit(bitset, lower_open_bit, value);
- else
- set_bit(bitset, upper_open_bit, value);
- }
- break;
- default:
- break;
- }
- }
- bool get_boundary_property(Boundary_Type t, const Boundary_NS::Property& p) const {
- switch (p.type) {
- case Boundary_NS::Property::SPECIAL_:
- if (!store_special)
- return false;
- if (t == LOWER)
- return get_bit(bitset, lower_special_bit);
- else
- return get_bit(bitset, upper_special_bit);
- case Boundary_NS::Property::OPEN_:
- if (!store_open)
- return false;
- else if (t == LOWER)
- return get_bit(bitset, lower_open_bit);
- else
- return get_bit(bitset, upper_open_bit);
- default:
- return false;
- }
- }
- void set_interval_property(const Interval_NS::Property& p, bool value = true) {
- switch (p.type) {
- case Interval_NS::Property::CARDINALITY_0_:
- if (cache_empty)
- set_bit(bitset, cardinality_0_bit, value);
- break;
- case Interval_NS::Property::CARDINALITY_1_:
- if (cache_singleton)
- set_bit(bitset, cardinality_1_bit, value);
- break;
- case Interval_NS::Property::CARDINALITY_IS_:
- if (cache_empty || cache_singleton)
- set_bit(bitset, cardinality_is_bit, value);
- break;
- default:
- break;
- }
- }
- bool get_interval_property(Interval_NS::Property p) const {
- switch (p.type) {
- case Interval_NS::Property::CARDINALITY_0_:
- return cache_empty && get_bit(bitset, cardinality_0_bit);
- case Interval_NS::Property::CARDINALITY_1_:
- return cache_singleton && get_bit(bitset, cardinality_1_bit);
- case Interval_NS::Property::CARDINALITY_IS_:
- return (cache_empty || cache_singleton)
- && get_bit(bitset, cardinality_is_bit);
- default:
- return false;
- }
- }
-
- //! Swaps \p *this with \p y.
- void m_swap(Interval_Info_Bitset& y);
-
- void ascii_dump(std::ostream& s) const;
- bool ascii_load(std::istream& s);
-
-protected:
- T bitset;
-};
-
-}
-
-#include "Interval_Info.inlines.hh"
-
-#endif // !defined(PPL_Interval_Info_defs_hh)
diff --git a/src/Interval_Info.inlines.hh b/src/Interval_Info.inlines.hh
deleted file mode 100644
index 4453019..0000000
--- a/src/Interval_Info.inlines.hh
+++ /dev/null
@@ -1,116 +0,0 @@
-/* Interval_Info class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Interval_Info_inlines_hh
-#define PPL_Interval_Info_inlines_hh 1
-
-#include <iomanip>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Policy>
-inline void
-Interval_Info_Null<Policy>::m_swap(Interval_Info_Null<Policy>&) {
-}
-
-template <typename Policy>
-inline void
-Interval_Info_Null<Policy>::ascii_dump(std::ostream&) const {
-}
-
-template <typename Policy>
-inline bool
-Interval_Info_Null<Policy>::ascii_load(std::istream&) {
- return true;
-}
-
-template <typename Policy>
-inline void
-Interval_Info_Null_Open<Policy>::ascii_dump(std::ostream& s) const {
- s << (open ? "open" : "closed");
-}
-
-template <typename Policy>
-inline bool
-Interval_Info_Null_Open<Policy>::ascii_load(std::istream& s) {
- std::string str;
- if (!(s >> str))
- return false;
- if (str == "open") {
- open = true;
- return true;
- }
- if (str == "closed") {
- open = false;
- return true;
- }
- return false;
-}
-
-template <typename T, typename Policy>
-inline void
-Interval_Info_Bitset<T, Policy>::m_swap(Interval_Info_Bitset<T, Policy>& y) {
- using std::swap;
- swap(bitset, y.bitset);
-}
-
-template <typename T, typename Policy>
-inline void
-Interval_Info_Bitset<T, Policy>::ascii_dump(std::ostream& s) const {
- const std::ios::fmtflags old_flags = s.setf(std::ios::hex,
- std::ios::basefield);
- s << bitset;
- s.flags(old_flags);
-}
-
-template <typename T, typename Policy>
-inline bool
-Interval_Info_Bitset<T, Policy>::ascii_load(std::istream& s) {
- const std::ios::fmtflags old_flags = s.setf(std::ios::hex,
- std::ios::basefield);
- s >> bitset;
- s.flags(old_flags);
- return !s.fail();
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Interval_Info_Null */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Policy>
-inline void
-swap(Interval_Info_Null<Policy>& x, Interval_Info_Null<Policy>& y) {
- x.m_swap(y);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Interval_Info_Bitset */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename Policy>
-inline void
-swap(Interval_Info_Bitset<T, Policy>& x, Interval_Info_Bitset<T, Policy>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Interval_Info_inlines_hh)
diff --git a/src/Interval_Info.types.hh b/src/Interval_Info.types.hh
deleted file mode 100644
index 8e05207..0000000
--- a/src/Interval_Info.types.hh
+++ /dev/null
@@ -1,26 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Interval_Info_types_hh
-#define PPL_Interval_Info_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Policy>
-class Interval_Info_Null;
-
-template <typename T, typename Policy>
-class Interval_Info_Bitset;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Interval_Info_types_hh)
diff --git a/src/Interval_Info_defs.hh b/src/Interval_Info_defs.hh
new file mode 100644
index 0000000..235b35b
--- /dev/null
+++ b/src/Interval_Info_defs.hh
@@ -0,0 +1,285 @@
+/* Interval_Info class declaration and implementation.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Interval_Info_defs_hh
+#define PPL_Interval_Info_defs_hh 1
+
+#include "Boundary_defs.hh"
+
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Interval_NS {
+
+struct Property {
+ enum Type {
+ CARDINALITY_0_,
+ CARDINALITY_1_,
+ CARDINALITY_IS_
+ };
+ typedef bool Value;
+ static const Value default_value = true;
+ static const Value unsupported_value = false;
+ Property(Type t)
+ : type(t) {
+ }
+ Type type;
+};
+
+const Property CARDINALITY_0(Property::CARDINALITY_0_);
+const Property CARDINALITY_1(Property::CARDINALITY_1_);
+const Property CARDINALITY_IS(Property::CARDINALITY_IS_);
+
+template <typename T>
+inline void
+reset_bits(T& bits) {
+ bits = 0;
+}
+
+template <typename T>
+inline void
+reset_bit(T& bits, unsigned int bit) {
+ bits &= ~(static_cast<T>(1) << bit);
+}
+
+template <typename T>
+inline void
+set_bit(T& bits, unsigned int bit, bool value) {
+ if (value)
+ bits |= static_cast<T>(1) << bit;
+ else
+ reset_bit(bits, bit);
+}
+
+template <typename T>
+inline bool
+get_bit(const T& bits, unsigned int bit) {
+ return (bits & (static_cast<T>(1) << bit)) != 0;
+}
+
+template <typename T>
+inline void
+set_bits(T& bits, unsigned int start, unsigned int len, T value) {
+ bits &= ~(((static_cast<T>(1) << len) - 1) << start);
+ bits |= value << start;
+}
+
+template <typename T>
+inline T
+get_bits(T& bits, unsigned int start, unsigned int len) {
+ return (bits >> start) & ((static_cast<T>(1) << len) - 1);
+}
+
+} // namespace Interval_NS
+
+using namespace Interval_NS;
+using namespace Boundary_NS;
+
+
+template <typename Policy>
+class Interval_Info_Null {
+public:
+ const_bool_nodef(may_be_empty, Policy::may_be_empty);
+ const_bool_nodef(may_contain_infinity, Policy::may_contain_infinity);
+ const_bool_nodef(check_inexact, Policy::check_inexact);
+ const_bool_nodef(store_special, false);
+ const_bool_nodef(store_open, false);
+ const_bool_nodef(cache_empty, false);
+ const_bool_nodef(cache_singleton, false);
+ Interval_Info_Null() {
+ }
+ void clear() {
+ }
+ void clear_boundary_properties(Boundary_Type) {
+ }
+
+ template <typename Property>
+ void set_boundary_property(Boundary_Type, const Property&, typename Property::Value = Property::default_value) {
+ }
+ template <typename Property>
+ typename Property::Value get_boundary_property(Boundary_Type, const Property&) const {
+ return Property::unsupported_value;
+ }
+ template <typename Property>
+ void set_interval_property(const Property&, typename Property::Value = Property::default_value) {
+ }
+ template <typename Property>
+ typename Property::Value get_interval_property(const Property&) const {
+ return Property::unsupported_value;
+ }
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Interval_Info_Null& y);
+
+ void ascii_dump(std::ostream& s) const;
+ bool ascii_load(std::istream& s);
+};
+
+template <typename Policy>
+class Interval_Info_Null_Open : public Interval_Info_Null<Policy> {
+public:
+ const_bool_nodef(store_open, true);
+ Interval_Info_Null_Open(bool o)
+ : open(o) {
+ }
+ bool get_boundary_property(Boundary_Type,
+ const Boundary_NS::Property& p) const {
+ if (p.type == Boundary_NS::Property::OPEN_)
+ return open;
+ else
+ return Boundary_NS::Property::unsupported_value;
+ }
+
+ void ascii_dump(std::ostream& s) const;
+ bool ascii_load(std::istream& s);
+
+private:
+ bool open;
+};
+
+
+template <typename T, typename Policy>
+class Interval_Info_Bitset {
+public:
+ const_bool_nodef(may_be_empty, Policy::may_be_empty);
+ const_bool_nodef(may_contain_infinity, Policy::may_contain_infinity);
+ const_bool_nodef(check_inexact, Policy::check_inexact);
+ const_bool_nodef(store_special, Policy::store_special);
+ const_bool_nodef(store_open, Policy::store_open);
+ const_bool_nodef(cache_empty, Policy::cache_empty);
+ const_bool_nodef(cache_singleton, Policy::cache_singleton);
+ const_int_nodef(lower_special_bit, Policy::next_bit);
+ const_int_nodef(lower_open_bit, lower_special_bit + (store_special ? 1 : 0));
+ const_int_nodef(upper_special_bit, lower_open_bit + (store_open ? 1 : 0));
+ const_int_nodef(upper_open_bit, upper_special_bit + (store_special ? 1 : 0));
+ const_int_nodef(cardinality_is_bit, upper_open_bit + (store_open ? 1 : 0));
+ const_int_nodef(cardinality_0_bit, cardinality_is_bit
+ + ((cache_empty || cache_singleton) ? 1 : 0));
+ const_int_nodef(cardinality_1_bit, cardinality_0_bit + (cache_empty ? 1 : 0));
+ const_int_nodef(next_bit, cardinality_1_bit + (cache_singleton ? 1 : 0));
+
+ Interval_Info_Bitset() {
+ // FIXME: would we have speed benefits with uninitialized info?
+ // (Dirty_Temp)
+ clear();
+ }
+
+ void clear() {
+ reset_bits(bitset);
+ }
+ void clear_boundary_properties(Boundary_Type t) {
+ set_boundary_property(t, SPECIAL, false);
+ set_boundary_property(t, OPEN, false);
+ }
+ void set_boundary_property(Boundary_Type t,
+ const Boundary_NS::Property& p,
+ bool value = true) {
+ switch (p.type) {
+ case Boundary_NS::Property::SPECIAL_:
+ if (store_special) {
+ if (t == LOWER)
+ set_bit(bitset, lower_special_bit, value);
+ else
+ set_bit(bitset, upper_special_bit, value);
+ }
+ break;
+ case Boundary_NS::Property::OPEN_:
+ if (store_open) {
+ if (t == LOWER)
+ set_bit(bitset, lower_open_bit, value);
+ else
+ set_bit(bitset, upper_open_bit, value);
+ }
+ break;
+ default:
+ break;
+ }
+ }
+ bool get_boundary_property(Boundary_Type t, const Boundary_NS::Property& p) const {
+ switch (p.type) {
+ case Boundary_NS::Property::SPECIAL_:
+ if (!store_special)
+ return false;
+ if (t == LOWER)
+ return get_bit(bitset, lower_special_bit);
+ else
+ return get_bit(bitset, upper_special_bit);
+ case Boundary_NS::Property::OPEN_:
+ if (!store_open)
+ return false;
+ else if (t == LOWER)
+ return get_bit(bitset, lower_open_bit);
+ else
+ return get_bit(bitset, upper_open_bit);
+ default:
+ return false;
+ }
+ }
+ void set_interval_property(const Interval_NS::Property& p, bool value = true) {
+ switch (p.type) {
+ case Interval_NS::Property::CARDINALITY_0_:
+ if (cache_empty)
+ set_bit(bitset, cardinality_0_bit, value);
+ break;
+ case Interval_NS::Property::CARDINALITY_1_:
+ if (cache_singleton)
+ set_bit(bitset, cardinality_1_bit, value);
+ break;
+ case Interval_NS::Property::CARDINALITY_IS_:
+ if (cache_empty || cache_singleton)
+ set_bit(bitset, cardinality_is_bit, value);
+ break;
+ default:
+ break;
+ }
+ }
+ bool get_interval_property(Interval_NS::Property p) const {
+ switch (p.type) {
+ case Interval_NS::Property::CARDINALITY_0_:
+ return cache_empty && get_bit(bitset, cardinality_0_bit);
+ case Interval_NS::Property::CARDINALITY_1_:
+ return cache_singleton && get_bit(bitset, cardinality_1_bit);
+ case Interval_NS::Property::CARDINALITY_IS_:
+ return (cache_empty || cache_singleton)
+ && get_bit(bitset, cardinality_is_bit);
+ default:
+ return false;
+ }
+ }
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Interval_Info_Bitset& y);
+
+ void ascii_dump(std::ostream& s) const;
+ bool ascii_load(std::istream& s);
+
+protected:
+ T bitset;
+};
+
+}
+
+#include "Interval_Info_inlines.hh"
+
+#endif // !defined(PPL_Interval_Info_defs_hh)
diff --git a/src/Interval_Info_inlines.hh b/src/Interval_Info_inlines.hh
new file mode 100644
index 0000000..e93173d
--- /dev/null
+++ b/src/Interval_Info_inlines.hh
@@ -0,0 +1,116 @@
+/* Interval_Info class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Interval_Info_inlines_hh
+#define PPL_Interval_Info_inlines_hh 1
+
+#include <iomanip>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Policy>
+inline void
+Interval_Info_Null<Policy>::m_swap(Interval_Info_Null<Policy>&) {
+}
+
+template <typename Policy>
+inline void
+Interval_Info_Null<Policy>::ascii_dump(std::ostream&) const {
+}
+
+template <typename Policy>
+inline bool
+Interval_Info_Null<Policy>::ascii_load(std::istream&) {
+ return true;
+}
+
+template <typename Policy>
+inline void
+Interval_Info_Null_Open<Policy>::ascii_dump(std::ostream& s) const {
+ s << (open ? "open" : "closed");
+}
+
+template <typename Policy>
+inline bool
+Interval_Info_Null_Open<Policy>::ascii_load(std::istream& s) {
+ std::string str;
+ if (!(s >> str))
+ return false;
+ if (str == "open") {
+ open = true;
+ return true;
+ }
+ if (str == "closed") {
+ open = false;
+ return true;
+ }
+ return false;
+}
+
+template <typename T, typename Policy>
+inline void
+Interval_Info_Bitset<T, Policy>::m_swap(Interval_Info_Bitset<T, Policy>& y) {
+ using std::swap;
+ swap(bitset, y.bitset);
+}
+
+template <typename T, typename Policy>
+inline void
+Interval_Info_Bitset<T, Policy>::ascii_dump(std::ostream& s) const {
+ const std::ios::fmtflags old_flags = s.setf(std::ios::hex,
+ std::ios::basefield);
+ s << bitset;
+ s.flags(old_flags);
+}
+
+template <typename T, typename Policy>
+inline bool
+Interval_Info_Bitset<T, Policy>::ascii_load(std::istream& s) {
+ const std::ios::fmtflags old_flags = s.setf(std::ios::hex,
+ std::ios::basefield);
+ s >> bitset;
+ s.flags(old_flags);
+ return !s.fail();
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Interval_Info_Null */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Policy>
+inline void
+swap(Interval_Info_Null<Policy>& x, Interval_Info_Null<Policy>& y) {
+ x.m_swap(y);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Interval_Info_Bitset */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename Policy>
+inline void
+swap(Interval_Info_Bitset<T, Policy>& x, Interval_Info_Bitset<T, Policy>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Interval_Info_inlines_hh)
diff --git a/src/Interval_Info_types.hh b/src/Interval_Info_types.hh
new file mode 100644
index 0000000..ba1e6fb
--- /dev/null
+++ b/src/Interval_Info_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Interval_Info_types_hh
+#define PPL_Interval_Info_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Policy>
+class Interval_Info_Null;
+
+template <typename T, typename Policy>
+class Interval_Info_Bitset;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Interval_Info_types_hh)
diff --git a/src/Interval_defs.hh b/src/Interval_defs.hh
new file mode 100644
index 0000000..f953ac9
--- /dev/null
+++ b/src/Interval_defs.hh
@@ -0,0 +1,763 @@
+/* Declarations for the Interval class and its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Interval_defs_hh
+#define PPL_Interval_defs_hh 1
+
+#include "globals_defs.hh"
+#include "meta_programming.hh"
+#include "assign_or_swap.hh"
+#include "intervals_defs.hh"
+#include "Interval_types.hh"
+#include "Interval_Info_defs.hh"
+#include <iosfwd>
+
+// Temporary!
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+enum Ternary { T_YES, T_NO, T_MAYBE };
+
+inline I_Result
+combine(Result l, Result u) {
+ const unsigned res
+ = static_cast<unsigned>(l) | (static_cast<unsigned>(u) << 6);
+ return static_cast<I_Result>(res);
+}
+
+struct Interval_Base {
+};
+
+using namespace Boundary_NS;
+using namespace Interval_NS;
+
+template <typename T, typename Enable = void>
+struct Is_Singleton : public Is_Native_Or_Checked<T> {};
+
+template <typename T>
+struct Is_Interval : public Is_Same_Or_Derived<Interval_Base, T> {};
+
+//! A generic, not necessarily closed, possibly restricted interval.
+/*! \ingroup PPL_CXX_interface
+ The class template type parameter \p Boundary represents the type
+ of the interval boundaries, and can be chosen, among other possibilities,
+ within one of the following number families:
+
+ - a bounded precision native integer type (that is,
+ from <CODE>signed char</CODE> to <CODE>long long</CODE>
+ and from <CODE>int8_t</CODE> to <CODE>int64_t</CODE>);
+ - a bounded precision floating point type (<CODE>float</CODE>,
+ <CODE>double</CODE> or <CODE>long double</CODE>);
+ - an unbounded integer or rational type, as provided by the C++ interface
+ of GMP (<CODE>mpz_class</CODE> or <CODE>mpq_class</CODE>).
+
+ The class template type parameter \p Info allows to control a number
+ of features of the class, among which:
+
+ - the ability to support open as well as closed boundaries;
+ - the ability to represent empty intervals in addition to nonempty ones;
+ - the ability to represent intervals of extended number families
+ that contain positive and negative infinities;
+*/
+template <typename Boundary, typename Info>
+class Interval : public Interval_Base, private Info {
+private:
+ PPL_COMPILE_TIME_CHECK(!Info::store_special
+ || !std::numeric_limits<Boundary>::has_infinity,
+ "store_special is meaningless"
+ " when boundary type may contains infinity");
+ Info& w_info() const {
+ return const_cast<Interval&>(*this);
+ }
+
+public:
+ typedef Boundary boundary_type;
+ typedef Info info_type;
+
+ typedef Interval_NS::Property Property;
+
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
+ operator=(const T& x) {
+ assign(x);
+ return *this;
+ }
+
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
+ operator+=(const T& x) {
+ add_assign(*this, x);
+ return *this;
+ }
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
+ operator-=(const T& x) {
+ sub_assign(*this, x);
+ return *this;
+ }
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
+ operator*=(const T& x) {
+ mul_assign(*this, x);
+ return *this;
+ }
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value || Is_Interval<T>::value, Interval&>::type
+ operator/=(const T& x) {
+ div_assign(*this, x);
+ return *this;
+ }
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Interval& y);
+
+ Info& info() {
+ return *this;
+ }
+
+ const Info& info() const {
+ return *this;
+ }
+
+ Boundary& lower() {
+ return lower_;
+ }
+
+ const Boundary& lower() const {
+ return lower_;
+ }
+
+ Boundary& upper() {
+ return upper_;
+ }
+
+ const Boundary& upper() const {
+ return upper_;
+ }
+
+ I_Constraint<boundary_type> lower_constraint() const {
+ PPL_ASSERT(!is_empty());
+ if (info().get_boundary_property(LOWER, SPECIAL))
+ return I_Constraint<boundary_type>();
+ return i_constraint(lower_is_open() ? GREATER_THAN : GREATER_OR_EQUAL,
+ lower(), true);
+ }
+ I_Constraint<boundary_type> upper_constraint() const {
+ PPL_ASSERT(!is_empty());
+ if (info().get_boundary_property(UPPER, SPECIAL))
+ return I_Constraint<boundary_type>();
+ return i_constraint(upper_is_open() ? LESS_THAN : LESS_OR_EQUAL,
+ upper(), true);
+ }
+
+ bool is_empty() const {
+ return lt(UPPER, upper(), info(), LOWER, lower(), info());
+ }
+
+ bool check_empty(I_Result r) const {
+ return (r & I_ANY) == I_EMPTY
+ || ((r & I_ANY) != I_NOT_EMPTY && is_empty());
+ }
+
+ bool is_singleton() const {
+ return eq(LOWER, lower(), info(), UPPER, upper(), info());
+ }
+
+ bool lower_is_open() const {
+ PPL_ASSERT(OK());
+ return is_open(LOWER, lower(), info());
+ }
+
+ bool upper_is_open() const {
+ PPL_ASSERT(OK());
+ return is_open(UPPER, upper(), info());
+ }
+
+ bool lower_is_boundary_infinity() const {
+ PPL_ASSERT(OK());
+ return Boundary_NS::is_boundary_infinity(LOWER, lower(), info());
+ }
+
+ bool upper_is_boundary_infinity() const {
+ PPL_ASSERT(OK());
+ return Boundary_NS::is_boundary_infinity(UPPER, upper(), info());
+ }
+
+ bool lower_is_domain_inf() const {
+ PPL_ASSERT(OK());
+ return Boundary_NS::is_domain_inf(LOWER, lower(), info());
+ }
+
+ bool upper_is_domain_sup() const {
+ PPL_ASSERT(OK());
+ return Boundary_NS::is_domain_sup(UPPER, upper(), info());
+ }
+
+ bool is_bounded() const {
+ PPL_ASSERT(OK());
+ return !lower_is_boundary_infinity() && !upper_is_boundary_infinity();
+ }
+
+ bool is_universe() const {
+ PPL_ASSERT(OK());
+ return lower_is_domain_inf() && upper_is_domain_sup();
+ }
+
+ I_Result lower_extend() {
+ info().clear_boundary_properties(LOWER);
+ set_unbounded(LOWER, lower(), info());
+ return I_ANY;
+ }
+
+ template <typename C>
+ typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
+ lower_extend(const C& c);
+
+ I_Result upper_extend() {
+ info().clear_boundary_properties(UPPER);
+ set_unbounded(UPPER, upper(), info());
+ return I_ANY;
+ }
+
+ template <typename C>
+ typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
+ upper_extend(const C& c);
+
+ I_Result build() {
+ return assign(UNIVERSE);
+ }
+
+ template <typename C>
+ typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
+ build(const C& c) {
+ Relation_Symbol rs;
+ switch (c.rel()) {
+ case V_LGE:
+ case V_GT_MINUS_INFINITY:
+ case V_LT_PLUS_INFINITY:
+ return assign(UNIVERSE);
+ default:
+ return assign(EMPTY);
+ case V_LT:
+ case V_LE:
+ case V_GT:
+ case V_GE:
+ case V_EQ:
+ case V_NE:
+ assign(UNIVERSE);
+ rs = static_cast<Relation_Symbol>(c.rel());
+ return refine_existential(rs, c.value());
+ }
+ }
+
+ template <typename C1, typename C2>
+ typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C1>::value
+ &&
+ Is_Same_Or_Derived<I_Constraint_Base, C2>::value,
+ I_Result>::type
+ build(const C1& c1, const C2& c2) {
+ switch (c1.rel()) {
+ case V_LGE:
+ return build(c2);
+ case V_NAN:
+ return assign(EMPTY);
+ default:
+ break;
+ }
+ switch (c2.rel()) {
+ case V_LGE:
+ return build(c1);
+ case V_NAN:
+ return assign(EMPTY);
+ default:
+ break;
+ }
+ build(c1);
+ const I_Result r = add_constraint(c2);
+ return r - (I_CHANGED | I_UNCHANGED);
+ }
+
+ template <typename C>
+ typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
+ add_constraint(const C& c) {
+ Interval x;
+ x.build(c);
+ return intersect_assign(x);
+ }
+
+ I_Result assign(Degenerate_Element e) {
+ I_Result r;
+ info().clear();
+ switch (e) {
+ case EMPTY:
+ lower_ = 1;
+ upper_ = 0;
+ r = I_EMPTY | I_EXACT;
+ break;
+ case UNIVERSE:
+ set_unbounded(LOWER, lower(), info());
+ set_unbounded(UPPER, upper(), info());
+ r = I_UNIVERSE | I_EXACT;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ r = I_EMPTY;
+ break;
+ }
+ PPL_ASSERT(OK());
+ return r;
+ }
+
+ template <typename From>
+ typename Enable_If<Is_Special<From>::value, I_Result>::type
+ assign(const From&) {
+ info().clear();
+ Result rl;
+ Result ru;
+ switch (From::vclass) {
+ case VC_MINUS_INFINITY:
+ rl = Boundary_NS::set_minus_infinity(LOWER, lower(), info());
+ ru = Boundary_NS::set_minus_infinity(UPPER, upper(), info());
+ break;
+ case VC_PLUS_INFINITY:
+ rl = Boundary_NS::set_plus_infinity(LOWER, lower(), info());
+ ru = Boundary_NS::set_plus_infinity(UPPER, upper(), info());
+ break;
+ default:
+ PPL_UNREACHABLE;
+ rl = V_NAN;
+ ru = V_NAN;
+ break;
+ }
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+ }
+
+ I_Result set_infinities() {
+ info().clear();
+ Result rl = Boundary_NS::set_minus_infinity(LOWER, lower(), info());
+ Result ru = Boundary_NS::set_plus_infinity(UPPER, upper(), info());
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+ }
+
+ static bool is_always_topologically_closed() {
+ return !Info::store_open;
+ }
+
+ bool is_topologically_closed() const {
+ PPL_ASSERT(OK());
+ return is_always_topologically_closed()
+ || is_empty()
+ || ((lower_is_boundary_infinity() || !lower_is_open())
+ && (upper_is_boundary_infinity() || !upper_is_open()));
+ }
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign() {
+ if (!Info::store_open || is_empty())
+ return;
+ if (lower_is_open() && !lower_is_boundary_infinity())
+ info().set_boundary_property(LOWER, OPEN, false);
+ if (upper_is_open() && !upper_is_boundary_infinity())
+ info().set_boundary_property(UPPER, OPEN, false);
+ }
+
+ void remove_inf() {
+ PPL_ASSERT(!is_empty());
+ if (!Info::store_open)
+ return;
+ info().set_boundary_property(LOWER, OPEN, true);
+ }
+
+ void remove_sup() {
+ PPL_ASSERT(!is_empty());
+ if (!Info::store_open)
+ return;
+ info().set_boundary_property(UPPER, OPEN, true);
+ }
+
+ int infinity_sign() const {
+ PPL_ASSERT(OK());
+ if (is_reverse_infinity(LOWER, lower(), info()))
+ return 1;
+ else if (is_reverse_infinity(UPPER, upper(), info()))
+ return -1;
+ else
+ return 0;
+ }
+
+ bool contains_integer_point() const {
+ PPL_ASSERT(OK());
+ if (is_empty())
+ return false;
+ if (!is_bounded())
+ return true;
+ Boundary l;
+ if (lower_is_open()) {
+ add_assign_r(l, lower(), Boundary(1), ROUND_DOWN);
+ floor_assign_r(l, l, ROUND_DOWN);
+ }
+ else
+ ceil_assign_r(l, lower(), ROUND_DOWN);
+ Boundary u;
+ if (upper_is_open()) {
+ sub_assign_r(u, upper(), Boundary(1), ROUND_UP);
+ ceil_assign_r(u, u, ROUND_UP);
+ }
+ else
+ floor_assign_r(u, upper(), ROUND_UP);
+ return u >= l;
+ }
+
+ void drop_some_non_integer_points() {
+ if (is_empty())
+ return;
+ if (lower_is_open() && !lower_is_boundary_infinity()) {
+ add_assign_r(lower(), lower(), Boundary(1), ROUND_DOWN);
+ floor_assign_r(lower(), lower(), ROUND_DOWN);
+ info().set_boundary_property(LOWER, OPEN, false);
+ }
+ else
+ ceil_assign_r(lower(), lower(), ROUND_DOWN);
+ if (upper_is_open() && !upper_is_boundary_infinity()) {
+ sub_assign_r(upper(), upper(), Boundary(1), ROUND_UP);
+ ceil_assign_r(upper(), upper(), ROUND_UP);
+ info().set_boundary_property(UPPER, OPEN, false);
+ }
+ else
+ floor_assign_r(upper(), upper(), ROUND_UP);
+ }
+
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value || Is_Interval<From>::value, I_Result>::type
+ wrap_assign(Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ const From& refinement) {
+ if (is_empty())
+ return I_EMPTY;
+ if (lower_is_boundary_infinity() || upper_is_boundary_infinity())
+ return assign(refinement);
+ PPL_DIRTY_TEMP(Boundary, u);
+ Result result = sub_2exp_assign_r(u, upper(), w, ROUND_UP);
+ if (result_overflow(result) == 0 && u > lower())
+ return assign(refinement);
+ info().clear();
+ switch (r) {
+ case UNSIGNED:
+ umod_2exp_assign(LOWER, lower(), info(),
+ LOWER, lower(), info(), w);
+ umod_2exp_assign(UPPER, upper(), info(),
+ UPPER, upper(), info(), w);
+ break;
+ case SIGNED_2_COMPLEMENT:
+ smod_2exp_assign(LOWER, lower(), info(),
+ LOWER, lower(), info(), w);
+ smod_2exp_assign(UPPER, upper(), info(),
+ UPPER, upper(), info(), w);
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+ if (le(LOWER, lower(), info(), UPPER, upper(), info()))
+ return intersect_assign(refinement);
+ PPL_DIRTY_TEMP(Interval, tmp);
+ tmp.info().clear();
+ Boundary_NS::assign(LOWER, tmp.lower(), tmp.info(),
+ LOWER, lower(), info());
+ set_unbounded(UPPER, tmp.upper(), tmp.info());
+ tmp.intersect_assign(refinement);
+ lower_extend();
+ intersect_assign(refinement);
+ return join_assign(tmp);
+ }
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ void ascii_dump(std::ostream& s) const;
+ bool ascii_load(std::istream& s);
+
+ bool OK() const {
+ if (!Info::may_be_empty && is_empty()) {
+#ifndef NDEBUG
+ std::cerr << "The interval is unexpectedly empty.\n";
+#endif
+ return false;
+ }
+
+ if (is_open(LOWER, lower(), info())) {
+ if (is_plus_infinity(LOWER, lower(), info())) {
+#ifndef NDEBUG
+ std::cerr << "The lower boundary is +inf open.\n";
+#endif
+ }
+ }
+ else if (!Info::may_contain_infinity
+ && (is_minus_infinity(LOWER, lower(), info())
+ || is_plus_infinity(LOWER, lower(), info()))) {
+#ifndef NDEBUG
+ std::cerr << "The lower boundary is unexpectedly infinity.\n";
+#endif
+ return false;
+ }
+ if (!info().get_boundary_property(LOWER, SPECIAL)) {
+ if (is_not_a_number(lower())) {
+#ifndef NDEBUG
+ std::cerr << "The lower boundary is not a number.\n";
+#endif
+ return false;
+ }
+ }
+
+ if (is_open(UPPER, upper(), info())) {
+ if (is_minus_infinity(UPPER, upper(), info())) {
+#ifndef NDEBUG
+ std::cerr << "The upper boundary is -inf open.\n";
+#endif
+ }
+ }
+ else if (!Info::may_contain_infinity
+ && (is_minus_infinity(UPPER, upper(), info())
+ || is_plus_infinity(UPPER, upper(), info()))) {
+#ifndef NDEBUG
+ std::cerr << "The upper boundary is unexpectedly infinity."
+ << std::endl;
+#endif
+ return false;
+ }
+ if (!info().get_boundary_property(UPPER, SPECIAL)) {
+ if (is_not_a_number(upper())) {
+#ifndef NDEBUG
+ std::cerr << "The upper boundary is not a number.\n";
+#endif
+ return false;
+ }
+ }
+
+ // Everything OK.
+ return true;
+ }
+
+ Interval() {
+ }
+
+ template <typename T>
+ explicit Interval(const T& x) {
+ assign(x);
+ }
+
+ /*! \brief
+ Builds the smallest interval containing the number whose textual
+ representation is contained in \p s.
+ */
+ explicit Interval(const char* s);
+
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+ contains(const T& y) const;
+
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+ strictly_contains(const T& y) const;
+
+ template <typename T>
+ typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+ is_disjoint_from(const T& y) const;
+
+
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ assign(const From& x);
+
+ template <typename Type>
+ typename Enable_If<Is_Singleton<Type>::value
+ || Is_Interval<Type>::value, bool>::type
+ can_be_exactly_joined_to(const Type& x) const;
+
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ join_assign(const From& x);
+
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+ join_assign(const From1& x, const From2& y);
+
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ intersect_assign(const From& x);
+
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+ intersect_assign(const From1& x, const From2& y);
+
+ /*! \brief
+ Assigns to \p *this the smallest interval containing the set-theoretic
+ difference of \p *this and \p x.
+ */
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ difference_assign(const From& x);
+
+ /*! \brief
+ Assigns to \p *this the smallest interval containing the set-theoretic
+ difference of \p x and \p y.
+ */
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+ difference_assign(const From1& x, const From2& y);
+
+ /*! \brief
+ Assigns to \p *this the largest interval contained in the set-theoretic
+ difference of \p *this and \p x.
+ */
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ lower_approximation_difference_assign(const From& x);
+
+ /*! \brief
+ Assigns to \p *this a \ref Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+
+ \return
+ \c false if and only if the meet of \p *this and \p y is empty.
+ */
+ template <typename From>
+ typename Enable_If<Is_Interval<From>::value, bool>::type
+ simplify_using_context_assign(const From& y);
+
+ /*! \brief
+ Assigns to \p *this an interval having empty intersection with \p y.
+ The assigned interval should be as large as possible.
+ */
+ template <typename From>
+ typename Enable_If<Is_Interval<From>::value, void>::type
+ empty_intersection_assign(const From& y);
+
+ /*! \brief
+ Refines \p to according to the existential relation \p rel with \p x.
+
+ The \p to interval is restricted to become, upon successful exit,
+ the smallest interval of its type that contains the set
+ \f[
+ \{\,
+ a \in \mathtt{to}
+ \mid
+ \exists b \in \mathtt{x} \st a \mathrel{\mathtt{rel}} b
+ \,\}.
+ \f]
+ \return
+ ???
+ */
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ refine_existential(Relation_Symbol rel, const From& x);
+
+ /*! \brief
+ Refines \p to so that it satisfies the universal relation \p rel with \p x.
+
+ The \p to interval is restricted to become, upon successful exit,
+ the smallest interval of its type that contains the set
+ \f[
+ \{\,
+ a \in \mathtt{to}
+ \mid
+ \forall b \in \mathtt{x} \itc a \mathrel{\mathtt{rel}} b
+ \,\}.
+ \f]
+ \return
+ ???
+ */
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ refine_universal(Relation_Symbol rel, const From& x);
+
+ template <typename From>
+ typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+ neg_assign(const From& x);
+
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ add_assign(const From1& x, const From2& y);
+
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ sub_assign(const From1& x, const From2& y);
+
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ mul_assign(const From1& x, const From2& y);
+
+ template <typename From1, typename From2>
+ typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ div_assign(const From1& x, const From2& y);
+
+ template <typename From, typename Iterator>
+ typename Enable_If<Is_Interval<From>::value, void>::type
+ CC76_widening_assign(const From& y, Iterator first, Iterator last);
+
+private:
+ Boundary lower_;
+ Boundary upper_;
+};
+
+//! Swaps \p x with \p y.
+/*! \relates Interval */
+template <typename Boundary, typename Info>
+void swap(Interval<Boundary, Info>& x, Interval<Boundary, Info>& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Interval_inlines.hh"
+#include "Interval_templates.hh"
+
+#endif // !defined(PPL_Interval_defs_hh)
diff --git a/src/Interval_inlines.hh b/src/Interval_inlines.hh
new file mode 100644
index 0000000..8ab37e4
--- /dev/null
+++ b/src/Interval_inlines.hh
@@ -0,0 +1,1160 @@
+/* Inline functions for the Interval class and its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Interval_inlines_hh
+#define PPL_Interval_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Boundary, typename Info>
+inline memory_size_type
+Interval<Boundary, Info>::external_memory_in_bytes() const {
+ return Parma_Polyhedra_Library::external_memory_in_bytes(lower())
+ + Parma_Polyhedra_Library::external_memory_in_bytes(upper());
+}
+
+template <typename Boundary, typename Info>
+inline memory_size_type
+Interval<Boundary, Info>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename Boundary, typename Info>
+inline void
+Interval<Boundary, Info>::m_swap(Interval<Boundary, Info>& y) {
+ using std::swap;
+ swap(lower(), y.lower());
+ swap(upper(), y.upper());
+ swap(info(), y.info());
+}
+
+template <typename Boundary, typename Info>
+inline bool
+f_is_empty(const Interval<Boundary, Info>& x) {
+ return x.is_empty();
+}
+template <typename Boundary, typename Info>
+inline bool
+f_is_singleton(const Interval<Boundary, Info>& x) {
+ return x.is_singleton();
+}
+template <typename Boundary, typename Info>
+inline int
+infinity_sign(const Interval<Boundary, Info>& x) {
+ return x.infinity_sign();
+}
+
+namespace Interval_NS {
+
+template <typename Boundary, typename Info>
+inline const Boundary&
+f_lower(const Interval<Boundary, Info>& x) {
+ return x.lower();
+}
+template <typename Boundary, typename Info>
+inline const Boundary&
+f_upper(const Interval<Boundary, Info>& x) {
+ return x.upper();
+}
+template <typename Boundary, typename Info>
+inline const Info&
+f_info(const Interval<Boundary, Info>& x) {
+ return x.info();
+}
+
+struct Scalar_As_Interval_Policy {
+ const_bool_nodef(may_be_empty, true);
+ const_bool_nodef(may_contain_infinity, true);
+ const_bool_nodef(check_inexact, false);
+};
+
+typedef Interval_Info_Null<Scalar_As_Interval_Policy>
+Scalar_As_Interval_Info;
+
+const Scalar_As_Interval_Info SCALAR_INFO;
+
+typedef Interval_Info_Null_Open<Scalar_As_Interval_Policy>
+Scalar_As_Interval_Info_Open;
+
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value, const T&>::type
+f_lower(const T& x) {
+ return x;
+}
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value, const T&>::type
+f_upper(const T& x) {
+ return x;
+}
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value,
+ const Scalar_As_Interval_Info&>::type
+f_info(const T&) {
+ return SCALAR_INFO;
+}
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value,
+ Scalar_As_Interval_Info_Open>::type
+f_info(const T&, bool open) {
+ return Scalar_As_Interval_Info_Open(open);
+}
+
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value, bool>::type
+f_is_empty(const T& x) {
+ return is_not_a_number(x);
+}
+
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value, bool>::type
+f_is_singleton(const T& x) {
+ return !f_is_empty(x);
+}
+
+} // namespace Interval_NS
+
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+is_singleton_integer(const T& x) {
+ return is_singleton(x) && is_integer(f_lower(x));
+}
+
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+check_empty_arg(const T& x) {
+ if (f_info(x).may_be_empty)
+ return f_is_empty(x);
+ else {
+ PPL_ASSERT(!f_is_empty(x));
+ return false;
+ }
+}
+
+template <typename T1, typename T2>
+inline typename Enable_If<((Is_Singleton<T1>::value
+ || Is_Interval<T1>::value)
+ && (Is_Singleton<T2>::value
+ || Is_Interval<T2>::value)
+ && (Is_Interval<T1>::value
+ || Is_Interval<T2>::value)),
+ bool>::type
+operator==(const T1& x, const T2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(x))
+ return check_empty_arg(y);
+ else if (check_empty_arg(y))
+ return false;
+ return eq(LOWER, f_lower(x), f_info(x), LOWER, f_lower(y), f_info(y))
+ && eq(UPPER, f_upper(x), f_info(x), UPPER, f_upper(y), f_info(y));
+}
+
+template <typename T1, typename T2>
+inline typename Enable_If<((Is_Singleton<T1>::value
+ || Is_Interval<T1>::value)
+ && (Is_Singleton<T2>::value
+ || Is_Interval<T2>::value)
+ && (Is_Interval<T1>::value
+ || Is_Interval<T2>::value)),
+ bool>::type
+operator!=(const T1& x, const T2& y) {
+ return !(x == y);
+}
+
+template <typename Boundary, typename Info>
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+Interval<Boundary, Info>::contains(const T& y) const {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(y))
+ return true;
+ if (check_empty_arg(*this))
+ return false;
+ return le(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
+ && ge(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y));
+}
+
+template <typename Boundary, typename Info>
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+Interval<Boundary, Info>::strictly_contains(const T& y) const {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(y))
+ return !check_empty_arg(*this);
+ if (check_empty_arg(*this))
+ return false;
+ return (lt(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
+ && ge(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)))
+ || (le(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
+ && gt(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)));
+}
+
+template <typename Boundary, typename Info>
+template <typename T>
+inline typename Enable_If<Is_Singleton<T>::value
+ || Is_Interval<T>::value, bool>::type
+Interval<Boundary, Info>::is_disjoint_from(const T& y) const {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(*this) || check_empty_arg(y))
+ return true;
+ return gt(LOWER, lower(), info(), UPPER, f_upper(y), f_info(y))
+ || lt(UPPER, upper(), info(), LOWER, f_lower(y), f_info(y));
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>::assign(const From& x) {
+ PPL_ASSERT(f_OK(x));
+ if (check_empty_arg(x))
+ return assign(EMPTY);
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ const Result rl = Boundary_NS::assign(LOWER, lower(), to_info,
+ LOWER, f_lower(x), f_info(x));
+ const Result ru = Boundary_NS::assign(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x));
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>::join_assign(const From& x) {
+ PPL_ASSERT(f_OK(x));
+ if (check_empty_arg(*this))
+ return assign(x);
+ if (check_empty_arg(x))
+ return combine(V_EQ, V_EQ);
+ Result rl;
+ Result ru;
+ rl = min_assign(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
+ ru = max_assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::join_assign(const From1& x, const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(x))
+ return assign(y);
+ if (check_empty_arg(y))
+ return assign(x);
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ Result rl;
+ Result ru;
+ rl = min_assign(LOWER, lower(), to_info,
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
+ ru = max_assign(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename Boundary, typename Info>
+template <typename Type>
+inline typename Enable_If<Is_Singleton<Type>::value
+ || Is_Interval<Type>::value, bool>::type
+Interval<Boundary, Info>::can_be_exactly_joined_to(const Type& x) const {
+ PPL_DIRTY_TEMP(Boundary, b);
+ if (gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x))) {
+ b = lower();
+ return eq(LOWER, b, info(), UPPER, f_upper(x), f_info(x));
+ }
+ else if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x))) {
+ b = upper();
+ return eq(UPPER, b, info(), LOWER, f_lower(x), f_info(x));
+ }
+ return true;
+}
+
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>::intersect_assign(const From& x) {
+ PPL_ASSERT(f_OK(x));
+ max_assign(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
+ min_assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
+ PPL_ASSERT(OK());
+ return I_ANY;
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::intersect_assign(const From1& x,
+ const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ max_assign(LOWER, lower(), to_info,
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
+ min_assign(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return I_NOT_EMPTY;
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>::difference_assign(const From& x) {
+ PPL_ASSERT(f_OK(x));
+ if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x))
+ || gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ bool nl = ge(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
+ bool nu = le(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
+ Result rl = V_EQ;
+ Result ru = V_EQ;
+ if (nl) {
+ if (nu)
+ return assign(EMPTY);
+ else {
+ info().clear_boundary_properties(LOWER);
+ rl = complement(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x));
+ }
+ }
+ else if (nu) {
+ info().clear_boundary_properties(UPPER);
+ ru = complement(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x));
+ }
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::difference_assign(const From1& x,
+ const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ if (lt(UPPER, f_upper(x), f_info(x), LOWER, f_lower(y), f_info(y))
+ || gt(LOWER, f_lower(x), f_info(x), UPPER, f_upper(y), f_info(y)))
+ return assign(x);
+ bool nl = ge(LOWER, f_lower(x), f_info(x), LOWER, f_lower(y), f_info(y));
+ bool nu = le(UPPER, f_upper(x), f_info(x), UPPER, f_upper(y), f_info(y));
+ Result rl = V_EQ;
+ Result ru = V_EQ;
+ if (nl) {
+ if (nu)
+ return assign(EMPTY);
+ else {
+ rl = complement(LOWER, lower(), info(), UPPER, f_upper(y), f_info(y));
+ ru = Boundary_NS::assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
+ }
+ }
+ else if (nu) {
+ ru = complement(UPPER, upper(), info(), LOWER, f_lower(y), f_info(y));
+ rl = Boundary_NS::assign(LOWER, lower(), info(),
+ LOWER, f_lower(x), f_info(x));
+ }
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>
+::refine_existential(Relation_Symbol rel, const From& x) {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(f_OK(x));
+ if (check_empty_arg(x))
+ return assign(EMPTY);
+ switch (rel) {
+ case LESS_THAN:
+ {
+ if (lt(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(UPPER);
+ Boundary_NS::assign(UPPER, upper(), info(),
+ UPPER, f_upper(x), f_info(x), true);
+ return I_ANY;
+ }
+ case LESS_OR_EQUAL:
+ {
+ if (le(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(UPPER);
+ Boundary_NS::assign(UPPER, upper(), info(),
+ UPPER, f_upper(x), f_info(x));
+ return I_ANY;
+ }
+ case GREATER_THAN:
+ {
+ if (gt(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(LOWER);
+ Boundary_NS::assign(LOWER, lower(), info(),
+ LOWER, f_lower(x), f_info(x), true);
+ return I_ANY;
+ }
+ case GREATER_OR_EQUAL:
+ {
+ if (ge(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(LOWER);
+ Boundary_NS::assign(LOWER, lower(), info(),
+ LOWER, f_lower(x), f_info(x));
+ return I_ANY;
+ }
+ case EQUAL:
+ return intersect_assign(x);
+ case NOT_EQUAL:
+ {
+ if (!f_is_singleton(x))
+ return combine(V_EQ, V_EQ);
+ if (check_empty_arg(*this))
+ return I_EMPTY;
+ if (eq(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
+ remove_inf();
+ if (eq(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
+ remove_sup();
+ return I_ANY;
+ }
+ default:
+ PPL_UNREACHABLE;
+ return I_EMPTY;
+ }
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>::refine_universal(Relation_Symbol rel,
+ const From& x) {
+ PPL_ASSERT(OK());
+ PPL_ASSERT(f_OK(x));
+ if (check_empty_arg(x))
+ return combine(V_EQ, V_EQ);
+ switch (rel) {
+ case LESS_THAN:
+ {
+ if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(UPPER);
+ Result ru = Boundary_NS::assign(UPPER, upper(), info(),
+ LOWER, f_lower(x), SCALAR_INFO,
+ !is_open(LOWER, f_lower(x), f_info(x)));
+ PPL_USED(ru);
+ return I_ANY;
+ }
+ case LESS_OR_EQUAL:
+ {
+ if (le(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(UPPER);
+ Result ru = Boundary_NS::assign(UPPER, upper(), info(),
+ LOWER, f_lower(x), SCALAR_INFO);
+ PPL_USED(ru);
+ return I_ANY;
+ }
+ case GREATER_THAN:
+ {
+ if (gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(LOWER);
+ Result rl = Boundary_NS::assign(LOWER, lower(), info(),
+ UPPER, f_upper(x), SCALAR_INFO,
+ !is_open(UPPER, f_upper(x), f_info(x)));
+ PPL_USED(rl);
+ return I_ANY;
+ }
+ case GREATER_OR_EQUAL:
+ {
+ if (ge(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
+ return combine(V_EQ, V_EQ);
+ info().clear_boundary_properties(LOWER);
+ Result rl = Boundary_NS::assign(LOWER, lower(), info(),
+ UPPER, f_upper(x), SCALAR_INFO);
+ PPL_USED(rl);
+ return I_ANY;
+ }
+ case EQUAL:
+ if (!f_is_singleton(x))
+ return assign(EMPTY);
+ return intersect_assign(x);
+ case NOT_EQUAL:
+ {
+ if (check_empty_arg(*this))
+ return I_EMPTY;
+ if (eq(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
+ remove_inf();
+ if (eq(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
+ remove_sup();
+ return I_ANY;
+ }
+ default:
+ PPL_UNREACHABLE;
+ return I_EMPTY;
+ }
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From>
+inline typename Enable_If<Is_Singleton<From>::value
+ || Is_Interval<From>::value, I_Result>::type
+Interval<To_Boundary, To_Info>::neg_assign(const From& x) {
+ PPL_ASSERT(f_OK(x));
+ if (check_empty_arg(x))
+ return assign(EMPTY);
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ Result rl;
+ Result ru;
+ PPL_DIRTY_TEMP(To_Boundary, to_lower);
+ rl = Boundary_NS::neg_assign(LOWER, to_lower, to_info, UPPER, f_upper(x), f_info(x));
+ ru = Boundary_NS::neg_assign(UPPER, upper(), to_info, LOWER, f_lower(x), f_info(x));
+ assign_or_swap(lower(), to_lower);
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::add_assign(const From1& x, const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(x) || check_empty_arg(y))
+ return assign(EMPTY);
+ int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
+ if (inf_sign != 0) {
+ if (Parma_Polyhedra_Library::infinity_sign(y) == -inf_sign)
+ return assign(EMPTY);
+ }
+ else
+ inf_sign = Parma_Polyhedra_Library::infinity_sign(y);
+ if (inf_sign < 0)
+ return assign(MINUS_INFINITY);
+ else if (inf_sign > 0)
+ return assign(PLUS_INFINITY);
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ Result rl = Boundary_NS::add_assign(LOWER, lower(), to_info,
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
+ Result ru = Boundary_NS::add_assign(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::sub_assign(const From1& x, const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(x) || check_empty_arg(y))
+ return assign(EMPTY);
+ int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
+ if (inf_sign != 0) {
+ if (Parma_Polyhedra_Library::infinity_sign(y) == inf_sign)
+ return assign(EMPTY);
+ }
+ else
+ inf_sign = -Parma_Polyhedra_Library::infinity_sign(y);
+ if (inf_sign < 0)
+ return assign(MINUS_INFINITY);
+ else if (inf_sign > 0)
+ return assign(PLUS_INFINITY);
+
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ Result rl;
+ Result ru;
+ PPL_DIRTY_TEMP(To_Boundary, to_lower);
+ rl = Boundary_NS::sub_assign(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
+ ru = Boundary_NS::sub_assign(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
+ assign_or_swap(lower(), to_lower);
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+/**
++---------+-----------+-----------+-----------------+
+| * | yl > 0 | yu < 0 | yl < 0, yu > 0 |
++---------+-----------+-----------+-----------------+
+| xl > 0 |xl*yl,xu*yu|xu*yl,xl*yu| xu*yl,xu*yu |
++---------+-----------+-----------+-----------------+
+| xu < 0 |xl*yu,xu*yl|xu*yu,xl*yl| xl*yu,xl*yl |
++---------+-----------+-----------+-----------------+
+|xl<0 xu>0|xl*yu,xu*yu|xu*yl,xl*yl|min(xl*yu,xu*yl),|
+| | | |max(xl*yl,xu*yu) |
++---------+-----------+-----------+-----------------+
+**/
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::mul_assign(const From1& x, const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(x) || check_empty_arg(y))
+ return assign(EMPTY);
+ int xls = sgn_b(LOWER, f_lower(x), f_info(x));
+ int xus = (xls > 0) ? 1 : sgn_b(UPPER, f_upper(x), f_info(x));
+ int yls = sgn_b(LOWER, f_lower(y), f_info(y));
+ int yus = (yls > 0) ? 1 : sgn_b(UPPER, f_upper(y), f_info(y));
+ int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
+ int ls;
+ int us;
+ if (inf_sign != 0) {
+ ls = yls;
+ us = yus;
+ goto inf;
+ }
+ else {
+ inf_sign = Parma_Polyhedra_Library::infinity_sign(y);
+ if (inf_sign != 0) {
+ ls = xls;
+ us = xus;
+ inf:
+ if (ls == 0 && us == 0)
+ return assign(EMPTY);
+ if (ls == -us)
+ return set_infinities();
+ if (ls < 0 || us < 0)
+ inf_sign = -inf_sign;
+ if (inf_sign < 0)
+ return assign(MINUS_INFINITY);
+ else
+ return assign(PLUS_INFINITY);
+ }
+ }
+
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ Result rl;
+ Result ru;
+ PPL_DIRTY_TEMP(To_Boundary, to_lower);
+
+ if (xls >= 0) {
+ if (yls >= 0) {
+ // 0 <= xl <= xu, 0 <= yl <= yu
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ else if (yus <= 0) {
+ // 0 <= xl <= xu, yl <= yu <= 0
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ else {
+ // 0 <= xl <= xu, yl < 0 < yu
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ }
+ else if (xus <= 0) {
+ if (yls >= 0) {
+ // xl <= xu <= 0, 0 <= yl <= yu
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ else if (yus <= 0) {
+ // xl <= xu <= 0, yl <= yu <= 0
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ else {
+ // xl <= xu <= 0, yl < 0 < yu
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ }
+ else if (yls >= 0) {
+ // xl < 0 < xu, 0 <= yl <= yu
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ else if (yus <= 0) {
+ // xl < 0 < xu, yl <= yu <= 0
+ rl = mul_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = mul_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ else {
+ // xl < 0 < xu, yl < 0 < yu
+ PPL_DIRTY_TEMP(To_Boundary, tmp);
+ PPL_DIRTY_TEMP(To_Info, tmp_info);
+ tmp_info.clear();
+ Result tmp_r;
+ tmp_r = Boundary_NS::mul_assign(LOWER, tmp, tmp_info,
+ UPPER, f_upper(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
+ rl = Boundary_NS::mul_assign(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
+ if (gt(LOWER, to_lower, to_info, LOWER, tmp, tmp_info)) {
+ to_lower = tmp;
+ rl = tmp_r;
+ }
+ tmp_info.clear();
+ tmp_r = Boundary_NS::mul_assign(UPPER, tmp, tmp_info,
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
+ ru = Boundary_NS::mul_assign(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
+ if (lt(UPPER, upper(), to_info, UPPER, tmp, tmp_info)) {
+ upper() = tmp;
+ ru = tmp_r;
+ }
+ }
+ assign_or_swap(lower(), to_lower);
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+/**
++-----------+-----------+-----------+
+| / | yu < 0 | yl > 0 |
++-----------+-----------+-----------+
+| xu<=0 |xu/yl,xl/yu|xl/yl,xu/yu|
++-----------+-----------+-----------+
+|xl<=0 xu>=0|xu/yu,xl/yu|xl/yl,xu/yl|
++-----------+-----------+-----------+
+| xl>=0 |xu/yu,xl/yl|xl/yu,xu/yl|
++-----------+-----------+-----------+
+**/
+template <typename To_Boundary, typename To_Info>
+template <typename From1, typename From2>
+inline typename Enable_If<((Is_Singleton<From1>::value
+ || Is_Interval<From1>::value)
+ && (Is_Singleton<From2>::value
+ || Is_Interval<From2>::value)), I_Result>::type
+Interval<To_Boundary, To_Info>::div_assign(const From1& x, const From2& y) {
+ PPL_ASSERT(f_OK(x));
+ PPL_ASSERT(f_OK(y));
+ if (check_empty_arg(x) || check_empty_arg(y))
+ return assign(EMPTY);
+ int yls = sgn_b(LOWER, f_lower(y), f_info(y));
+ int yus = (yls > 0) ? 1 : sgn_b(UPPER, f_upper(y), f_info(y));
+ if (yls == 0 && yus == 0)
+ return assign(EMPTY);
+ int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
+ if (inf_sign != 0) {
+ if (Parma_Polyhedra_Library::infinity_sign(y) != 0)
+ return assign(EMPTY);
+ if (yls == -yus)
+ return set_infinities();
+ if (yls < 0 || yus < 0)
+ inf_sign = -inf_sign;
+ if (inf_sign < 0)
+ return assign(MINUS_INFINITY);
+ else
+ return assign(PLUS_INFINITY);
+ }
+ int xls = sgn_b(LOWER, f_lower(x), f_info(x));
+ int xus = (xls > 0) ? 1 : sgn_b(UPPER, f_upper(x), f_info(x));
+
+ PPL_DIRTY_TEMP(To_Info, to_info);
+ to_info.clear();
+ Result rl;
+ Result ru;
+ PPL_DIRTY_TEMP(To_Boundary, to_lower);
+ if (yls >= 0) {
+ if (xls >= 0) {
+ rl = div_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = div_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ else if (xus <= 0) {
+ rl = div_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = div_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ else {
+ rl = div_assign_z(LOWER, to_lower, to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = div_assign_z(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ }
+ else if (yus <= 0) {
+ if (xls >= 0) {
+ rl = div_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = div_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
+ }
+ else if (xus <= 0) {
+ rl = div_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
+ ru = div_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ else {
+ rl = div_assign_z(LOWER, to_lower, to_info,
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
+ ru = div_assign_z(UPPER, upper(), to_info,
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
+ }
+ }
+ else {
+ return static_cast<I_Result>(assign(UNIVERSE) | I_SINGULARITIES);
+ }
+ assign_or_swap(lower(), to_lower);
+ assign_or_swap(info(), to_info);
+ PPL_ASSERT(OK());
+ return combine(rl, ru);
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator+(const Interval<B, Info>& x, const T& y) {
+ Interval<B, Info> z;
+ z.add_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator+(const T& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.add_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info>
+inline Interval<B, Info>
+operator+(const Interval<B, Info>& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.add_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator-(const Interval<B, Info>& x, const T& y) {
+ Interval<B, Info> z;
+ z.sub_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator-(const T& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.sub_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info>
+inline Interval<B, Info>
+operator-(const Interval<B, Info>& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.sub_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator*(const Interval<B, Info>& x, const T& y) {
+ Interval<B, Info> z;
+ z.mul_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator*(const T& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.mul_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info>
+inline Interval<B, Info>
+operator*(const Interval<B, Info>& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.mul_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator/(const Interval<B, Info>& x, const T& y) {
+ Interval<B, Info> z;
+ z.div_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info, typename T>
+inline typename Enable_If<Is_Singleton<T>::value, Interval<B, Info> >::type
+operator/(const T& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.div_assign(x, y);
+ return z;
+}
+
+template <typename B, typename Info>
+inline Interval<B, Info>
+operator/(const Interval<B, Info>& x, const Interval<B, Info>& y) {
+ Interval<B, Info> z;
+ z.div_assign(x, y);
+ return z;
+}
+
+template <typename Boundary, typename Info>
+inline std::ostream&
+operator<<(std::ostream& os, const Interval<Boundary, Info>& x) {
+ if (check_empty_arg(x))
+ return os << "[]";
+ if (x.is_singleton()) {
+ output(os, x.lower(), Numeric_Format(), ROUND_NOT_NEEDED);
+ return os;
+ }
+ os << (x.lower_is_open() ? "(" : "[");
+ if (x.info().get_boundary_property(LOWER, SPECIAL))
+ os << "-inf";
+ else
+ output(os, x.lower(), Numeric_Format(), ROUND_NOT_NEEDED);
+ os << ", ";
+ if (x.info().get_boundary_property(UPPER, SPECIAL))
+ os << "+inf";
+ else
+ output(os, x.upper(), Numeric_Format(), ROUND_NOT_NEEDED);
+ os << (x.upper_is_open() ? ")" : "]");
+ return os;
+}
+
+template <typename Boundary, typename Info>
+inline void
+Interval<Boundary, Info>::ascii_dump(std::ostream& s) const {
+ using Parma_Polyhedra_Library::ascii_dump;
+ s << "info ";
+ info().ascii_dump(s);
+ s << " lower ";
+ ascii_dump(s, lower());
+ s << " upper ";
+ ascii_dump(s, upper());
+ s << '\n';
+}
+
+template <typename Boundary, typename Info>
+inline bool
+Interval<Boundary, Info>::ascii_load(std::istream& s) {
+ using Parma_Polyhedra_Library::ascii_load;
+ std::string str;
+ if (!(s >> str) || str != "info")
+ return false;
+ if (!info().ascii_load(s))
+ return false;
+ if (!(s >> str) || str != "lower")
+ return false;
+ if (!ascii_load(s, lower()))
+ return false;
+ if (!(s >> str) || str != "upper")
+ return false;
+ if (!ascii_load(s, upper()))
+ return false;
+ PPL_ASSERT(OK());
+ return true;
+}
+
+/*! \brief
+ Helper class to select the appropriate numerical type to perform
+ boundary computations so as to reduce the chances of overflow without
+ incurring too much overhead.
+*/
+template <typename Interval_Boundary_Type> struct Select_Temp_Boundary_Type;
+
+template <typename Interval_Boundary_Type>
+struct Select_Temp_Boundary_Type {
+ typedef Interval_Boundary_Type type;
+};
+
+#if PPL_SUPPORTED_DOUBLE
+template <>
+struct Select_Temp_Boundary_Type<float> {
+ typedef double type;
+};
+#endif
+
+template <>
+struct Select_Temp_Boundary_Type<char> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<signed char> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<unsigned char> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<signed short> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<unsigned short> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<signed int> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<unsigned int> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<signed long> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<unsigned long> {
+ typedef signed long long type;
+};
+
+template <>
+struct Select_Temp_Boundary_Type<unsigned long long> {
+ typedef signed long long type;
+};
+
+/*! \relates Interval */
+template <typename Boundary, typename Info>
+inline void
+swap(Interval<Boundary, Info>& x, Interval<Boundary, Info>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Interval_inlines_hh)
diff --git a/src/Interval_templates.hh b/src/Interval_templates.hh
new file mode 100644
index 0000000..fca1b17
--- /dev/null
+++ b/src/Interval_templates.hh
@@ -0,0 +1,402 @@
+/* Interval class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Interval_templates_hh
+#define PPL_Interval_templates_hh 1
+
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Boundary, typename Info>
+template <typename C>
+typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
+Interval<Boundary, Info>::lower_extend(const C& c) {
+ PPL_ASSERT(OK());
+ bool open;
+ switch (c.rel()) {
+ case V_LGE:
+ return lower_extend();
+ case V_NAN:
+ return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
+ case V_GT:
+ open = true;
+ break;
+ case V_GE: // Fall through.
+ case V_EQ:
+ open = false;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
+ }
+ min_assign(LOWER, lower(), info(), LOWER, c.value(), f_info(c.value(), open));
+ PPL_ASSERT(OK());
+ return I_ANY;
+}
+
+template <typename Boundary, typename Info>
+template <typename C>
+typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C>::value, I_Result>::type
+Interval<Boundary, Info>::upper_extend(const C& c) {
+ PPL_ASSERT(OK());
+ bool open;
+ switch (c.rel()) {
+ case V_LGE:
+ return lower_extend();
+ case V_NAN:
+ return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
+ case V_LT:
+ open = true;
+ break;
+ case V_LE: // Fall through.
+ case V_EQ:
+ open = false;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ return I_NOT_EMPTY | I_EXACT | I_UNCHANGED;
+ }
+ max_assign(UPPER, upper(), info(), UPPER, c.value(), f_info(c.value(), open));
+ PPL_ASSERT(OK());
+ return I_ANY;
+}
+
+template <typename Boundary, typename Info>
+template <typename From, typename Iterator>
+typename Enable_If<Is_Interval<From>::value, void>::type
+Interval<Boundary, Info>::CC76_widening_assign(const From& y,
+ Iterator first,
+ Iterator last) {
+ // We assume that `y' is contained in or equal to `*this'.
+ PPL_ASSERT(contains(y));
+ Interval<Boundary, Info>& x = *this;
+
+ // Upper bound.
+ if (!x.upper_is_boundary_infinity()) {
+ Boundary& x_ub = x.upper();
+ const Boundary& y_ub = y.upper();
+ PPL_ASSERT(!y.upper_is_boundary_infinity() && y_ub <= x_ub);
+ if (y_ub < x_ub) {
+ Iterator k = std::lower_bound(first, last, x_ub);
+ if (k != last) {
+ if (x_ub < *k)
+ x_ub = *k;
+ }
+ else
+ x.upper_extend();
+ }
+ }
+
+ // Lower bound.
+ if (!x.lower_is_boundary_infinity()) {
+ Boundary& x_lb = x.lower();
+ const Boundary& y_lb = y.lower();
+ PPL_ASSERT(!y.lower_is_boundary_infinity() && y_lb >= x_lb);
+ if (y_lb > x_lb) {
+ Iterator k = std::lower_bound(first, last, x_lb);
+ if (k != last) {
+ if (x_lb < *k) {
+ if (k != first)
+ x_lb = *--k;
+ else
+ x.lower_extend();
+ }
+ }
+ else {
+ if (k != first)
+ x_lb = *--k;
+ else
+ x.lower_extend();
+ }
+ }
+ }
+}
+
+template <typename Boundary, typename Info>
+Interval<Boundary, Info>::Interval(const char* s) {
+ // Get the lower bound.
+ Boundary lower_bound;
+ Result lower_r = assign_r(lower_bound, s, ROUND_DOWN);
+ if (lower_r == V_CVT_STR_UNK || lower_r == V_NAN) {
+ throw std::invalid_argument("PPL::Interval(const char* s)"
+ " with s invalid");
+ }
+ lower_r = result_relation_class(lower_r);
+
+ // Get the upper bound.
+ Boundary upper_bound;
+ Result upper_r = assign_r(upper_bound, s, ROUND_UP);
+ PPL_ASSERT(upper_r != V_CVT_STR_UNK && upper_r != V_NAN);
+ upper_r = result_relation_class(upper_r);
+
+ // Build the interval.
+ bool lower_open = false;
+ bool upper_open = false;
+ bool lower_boundary_infinity = false;
+ bool upper_boundary_infinity = false;
+ switch (lower_r) {
+ case V_EQ: // Fall through.
+ case V_GE:
+ break;
+ case V_GT:
+ lower_open = true;
+ break;
+ case V_GT_MINUS_INFINITY:
+ lower_open = true;
+ // Fall through.
+ case V_EQ_MINUS_INFINITY:
+ lower_boundary_infinity = true;
+ break;
+ case V_EQ_PLUS_INFINITY: // Fall through.
+ case V_LT_PLUS_INFINITY:
+ if (upper_r == V_EQ_PLUS_INFINITY || upper_r == V_LT_PLUS_INFINITY)
+ assign(UNIVERSE);
+ else
+ assign(EMPTY);
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+ switch (upper_r) {
+ case V_EQ: // Fall through.
+ case V_LE:
+ break;
+ case V_LT:
+ upper_open = true;
+ break;
+ case V_EQ_MINUS_INFINITY: // Fall through.
+ case V_GT_MINUS_INFINITY:
+ if (lower_r == V_EQ_MINUS_INFINITY || lower_r == V_GT_MINUS_INFINITY)
+ assign(UNIVERSE);
+ else
+ assign(EMPTY);
+ break;
+ case V_LT_PLUS_INFINITY:
+ upper_open = true;
+ // Fall through.
+ case V_EQ_PLUS_INFINITY:
+ upper_boundary_infinity = true;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ if (!lower_boundary_infinity
+ && !upper_boundary_infinity
+ && (lower_bound > upper_bound
+ || (lower_open && lower_bound == upper_bound)))
+ assign(EMPTY);
+ else {
+ if (lower_boundary_infinity)
+ set_minus_infinity(LOWER, lower(), info(), lower_open);
+ else
+ Boundary_NS::assign(LOWER, lower(), info(),
+ LOWER, lower_bound, SCALAR_INFO, lower_open);
+ if (upper_boundary_infinity)
+ set_plus_infinity(UPPER, upper(), info(), upper_open);
+ else
+ Boundary_NS::assign(UPPER, upper(), info(),
+ UPPER, upper_bound, SCALAR_INFO, upper_open);
+ }
+}
+
+
+template <typename Boundary, typename Info>
+inline std::istream&
+operator>>(std::istream& is, Interval<Boundary, Info>& x) {
+ Boundary lower_bound;
+ Boundary upper_bound;
+ bool lower_boundary_infinity = false;
+ bool upper_boundary_infinity = false;
+ bool lower_open = false;
+ bool upper_open = false;
+ Result lower_r;
+ Result upper_r;
+
+ // Eat leading white space.
+ char c;
+ do {
+ if (!is.get(c))
+ goto fail;
+ } while (is_space(c));
+
+ // Get the opening parenthesis and handle the empty interval case.
+ if (c == '(')
+ lower_open = true;
+ else if (c == '[') {
+ if (!is.get(c))
+ goto fail;
+ if (c == ']') {
+ // Empty interval.
+ x.assign(EMPTY);
+ return is;
+ }
+ else
+ is.unget();
+ }
+ else
+ goto unexpected;
+
+ // Get the lower bound.
+ lower_r = input(lower_bound, is, ROUND_DOWN);
+ if (lower_r == V_CVT_STR_UNK || lower_r == V_NAN)
+ goto fail;
+ lower_r = result_relation_class(lower_r);
+
+ // Match the comma separating the lower and upper bounds.
+ do {
+ if (!is.get(c))
+ goto fail;
+ } while (is_space(c));
+ if (c != ',')
+ goto unexpected;
+
+ // Get the upper bound.
+ upper_r = input(upper_bound, is, ROUND_UP);
+ if (upper_r == V_CVT_STR_UNK || upper_r == V_NAN)
+ goto fail;
+ upper_r = result_relation_class(upper_r);
+
+ // Get the closing parenthesis.
+ do {
+ if (!is.get(c))
+ goto fail;
+ } while (is_space(c));
+ if (c == ')')
+ upper_open = true;
+ else if (c != ']') {
+ unexpected:
+ is.unget();
+ fail:
+ is.setstate(std::ios::failbit);
+ return is;
+ }
+
+ // Build interval.
+ switch (lower_r) {
+ case V_EQ: // Fall through.
+ case V_GE:
+ break;
+ case V_GT:
+ lower_open = true;
+ break;
+ case V_GT_MINUS_INFINITY:
+ lower_open = true;
+ // Fall through.
+ case V_EQ_MINUS_INFINITY:
+ lower_boundary_infinity = true;
+ break;
+ case V_EQ_PLUS_INFINITY: // Fall through.
+ case V_LT_PLUS_INFINITY:
+ if (upper_r == V_EQ_PLUS_INFINITY || upper_r == V_LT_PLUS_INFINITY)
+ x.assign(UNIVERSE);
+ else
+ x.assign(EMPTY);
+ return is;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+ switch (upper_r) {
+ case V_EQ: // Fall through.
+ case V_LE:
+ break;
+ case V_LT:
+ upper_open = true;
+ break;
+ case V_GT_MINUS_INFINITY:
+ upper_open = true;
+ // Fall through.
+ case V_EQ_MINUS_INFINITY:
+ if (lower_r == V_EQ_MINUS_INFINITY || lower_r == V_GT_MINUS_INFINITY)
+ x.assign(UNIVERSE);
+ else
+ x.assign(EMPTY);
+ return is;
+ case V_EQ_PLUS_INFINITY: // Fall through.
+ case V_LT_PLUS_INFINITY:
+ upper_boundary_infinity = true;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ if (!lower_boundary_infinity
+ && !upper_boundary_infinity
+ && (lower_bound > upper_bound
+ || (lower_open && lower_bound == upper_bound)))
+ x.assign(EMPTY);
+ else {
+ if (lower_boundary_infinity)
+ set_minus_infinity(LOWER, x.lower(), x.info(), lower_open);
+ else
+ assign(LOWER, x.lower(), x.info(),
+ LOWER, lower_bound, SCALAR_INFO, lower_open);
+ if (upper_boundary_infinity)
+ set_plus_infinity(UPPER, x.upper(), x.info(), upper_open);
+ else
+ assign(UPPER, x.upper(), x.info(),
+ UPPER, upper_bound, SCALAR_INFO, upper_open);
+ }
+ return is;
+}
+
+template <typename Boundary, typename Info>
+template <typename From>
+typename Enable_If<Is_Interval<From>::value, bool>::type
+Interval<Boundary, Info>::simplify_using_context_assign(const From& y) {
+ // FIXME: the following code wrongly assumes that intervals are closed
+ if (lt(UPPER, upper(), info(), LOWER, f_lower(y), f_info(y))) {
+ lower_extend();
+ return false;
+ }
+ if (gt(LOWER, lower(), info(), UPPER, f_upper(y), f_info(y))) {
+ upper_extend();
+ return false;
+ }
+ // Weakening the upper bound.
+ if (!upper_is_boundary_infinity() && !y.upper_is_boundary_infinity()
+ && y.upper() <= upper())
+ upper_extend();
+ // Weakening the lower bound.
+ if (!lower_is_boundary_infinity() && !y.lower_is_boundary_infinity()
+ && y.lower() >= lower())
+ lower_extend();
+ return true;
+}
+
+template <typename Boundary, typename Info>
+template <typename From>
+typename Enable_If<Is_Interval<From>::value, void>::type
+Interval<Boundary, Info>::empty_intersection_assign(const From&) {
+ // FIXME: write me.
+ assign(EMPTY);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Interval_templates_hh)
diff --git a/src/Interval_types.hh b/src/Interval_types.hh
new file mode 100644
index 0000000..948d0dc
--- /dev/null
+++ b/src/Interval_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Interval_types_hh
+#define PPL_Interval_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Boundary, typename Info>
+class Interval;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Interval_types_hh)
diff --git a/src/Linear_Expression.cc b/src/Linear_Expression.cc
index 7afa29a..4c02145 100644
--- a/src/Linear_Expression.cc
+++ b/src/Linear_Expression.cc
@@ -1,6 +1,6 @@
/* Linear_Expression class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,14 +23,11 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Linear_Expression.defs.hh"
+#include "Linear_Expression_defs.hh"
-#include "Linear_Expression_Impl.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-#include "Congruence.defs.hh"
-#include "Grid_Generator.defs.hh"
-#include "Generator.defs.hh"
+#include "Linear_Expression_Impl_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -85,39 +82,6 @@ PPL::Linear_Expression::Linear_Expression(dimension_type space_dim, bool x,
}
}
-PPL::Linear_Expression::Linear_Expression(const Congruence& c,
- dimension_type space_dim) {
- switch (c.expression().representation()) {
- case DENSE:
- impl = new Linear_Expression_Impl<Dense_Row>(c, space_dim);
- break;
-
- case SPARSE:
- impl = new Linear_Expression_Impl<Sparse_Row>(c, space_dim);
- break;
-
- default:
- PPL_UNREACHABLE;
- }
-}
-
-PPL::Linear_Expression::Linear_Expression(const Congruence& c,
- dimension_type space_dim,
- Representation r) {
- switch (r) {
- case DENSE:
- impl = new Linear_Expression_Impl<Dense_Row>(c, space_dim);
- break;
-
- case SPARSE:
- impl = new Linear_Expression_Impl<Sparse_Row>(c, space_dim);
- break;
-
- default:
- PPL_UNREACHABLE;
- }
-}
-
PPL::Linear_Expression::Linear_Expression(const Linear_Expression& e) {
switch (e.representation()) {
case DENSE:
@@ -198,65 +162,6 @@ PPL::Linear_Expression::Linear_Expression(Coefficient_traits::const_reference n,
}
}
-PPL::Linear_Expression::Linear_Expression(const Constraint& c)
- : impl(NULL) {
- Linear_Expression tmp(c.expression());
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Constraint& c,
- Representation r)
- : impl(NULL) {
- Linear_Expression tmp(c.expression(), r);
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Generator& g)
- : impl(NULL) {
- Linear_Expression tmp(g.expression());
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Generator& g, Representation r)
- : impl(NULL) {
- Linear_Expression tmp(g.expression(), r);
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Grid_Generator& g)
- : impl(NULL) {
- Linear_Expression tmp(g.expression());
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Grid_Generator& g,
- Representation r)
- : impl(NULL) {
- Linear_Expression tmp(g.expression(), r);
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Congruence& cg)
- : impl(NULL) {
- Linear_Expression tmp(cg.expression());
- using std::swap;
- swap(impl, tmp.impl);
-}
-
-PPL::Linear_Expression::Linear_Expression(const Congruence& cg,
- Representation r)
- : impl(NULL) {
- Linear_Expression tmp(cg.expression(), r);
- using std::swap;
- swap(impl, tmp.impl);
-}
-
PPL::Linear_Expression::Linear_Expression(const Variable v, Representation r) {
switch (r) {
case DENSE:
diff --git a/src/Linear_Expression.defs.hh b/src/Linear_Expression.defs.hh
deleted file mode 100644
index e9ad2d6..0000000
--- a/src/Linear_Expression.defs.hh
+++ /dev/null
@@ -1,1070 +0,0 @@
-/* Linear_Expression class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Expression_defs_hh
-#define PPL_Linear_Expression_defs_hh 1
-
-#include "Linear_Expression.types.hh"
-
-#include "Constraint.types.hh"
-#include "Generator.types.hh"
-#include "Grid_Generator.types.hh"
-#include "Congruence.types.hh"
-#include "Generator.types.hh"
-#include "Constraint.types.hh"
-#include "Constraint_System.types.hh"
-#include "Coefficient.types.hh"
-#include "Polyhedron.types.hh"
-#include "Linear_System.types.hh"
-#include "Grid.types.hh"
-#include "PIP_Problem.types.hh"
-#include "BHRZ03_Certificate.types.hh"
-#include "Scalar_Products.types.hh"
-#include "MIP_Problem.types.hh"
-#include "Box.types.hh"
-#include "Congruence_System.types.hh"
-#include "BD_Shape.types.hh"
-#include "Octagonal_Shape.types.hh"
-#include "termination.types.hh"
-#include "Expression_Hide_Inhomo.types.hh"
-#include "Expression_Hide_Last.types.hh"
-
-#include "Linear_Expression_Interface.defs.hh"
-#include "Variable.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-// Put them in the namespace here to declare them friend later.
-
-//! Returns the linear expression \p e1 + \p e2.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the linear expression \p v + \p w.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(Variable v, Variable w);
-
-//! Returns the linear expression \p v + \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(Variable v, const Linear_Expression& e);
-
-//! Returns the linear expression \p e + \p v.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(const Linear_Expression& e, Variable v);
-
-//! Returns the linear expression \p n + \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the linear expression \p e + \p n.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the linear expression \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator+(const Linear_Expression& e);
-
-//! Returns the linear expression - \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(const Linear_Expression& e);
-
-//! Returns the linear expression \p e1 - \p e2.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(const Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the linear expression \p v - \p w.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(Variable v, Variable w);
-
-//! Returns the linear expression \p v - \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(Variable v, const Linear_Expression& e);
-
-//! Returns the linear expression \p e - \p v.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(const Linear_Expression& e, Variable v);
-
-//! Returns the linear expression \p n - \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the linear expression \p e - \p n.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator-(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the linear expression \p n * \p e.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator*(Coefficient_traits::const_reference n, const Linear_Expression& e);
-
-//! Returns the linear expression \p e * \p n.
-/*! \relates Linear_Expression */
-Linear_Expression
-operator*(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the linear expression \p e1 + \p e2 and assigns it to \p e1.
-/*! \relates Linear_Expression */
-Linear_Expression&
-operator+=(Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the linear expression \p e + \p v and assigns it to \p e.
-/*! \relates Linear_Expression
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Expression::max_space_dimension()</CODE>.
- */
-Linear_Expression&
-operator+=(Linear_Expression& e, Variable v);
-
-//! Returns the linear expression \p e + \p n and assigns it to \p e.
-/*! \relates Linear_Expression */
-Linear_Expression&
-operator+=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the linear expression \p e1 - \p e2 and assigns it to \p e1.
-/*! \relates Linear_Expression */
-Linear_Expression&
-operator-=(Linear_Expression& e1, const Linear_Expression& e2);
-
-//! Returns the linear expression \p e - \p v and assigns it to \p e.
-/*! \relates Linear_Expression
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Expression::max_space_dimension()</CODE>.
- */
-Linear_Expression&
-operator-=(Linear_Expression& e, Variable v);
-
-//! Returns the linear expression \p e - \p n and assigns it to \p e.
-/*! \relates Linear_Expression */
-Linear_Expression&
-operator-=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the linear expression \p n * \p e and assigns it to \p e.
-/*! \relates Linear_Expression */
-Linear_Expression&
-operator*=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Returns the linear expression \p n / \p e and assigns it to \p e.
-/*! \relates Linear_Expression */
-Linear_Expression&
-operator/=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
-//! Assigns to \p e its own negation.
-/*! \relates Linear_Expression */
-void
-neg_assign(Linear_Expression& e);
-
-//! Returns the linear expression \p e + \p n * \p v and assigns it to \p e.
-/*! \relates Linear_Expression */
-Linear_Expression&
-add_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n, Variable v);
-
-//! Sums \p e2 multiplied by \p factor into \p e1.
-/*! \relates Linear_Expression */
-void add_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2);
-
-//! Subtracts \p e2 multiplied by \p factor from \p e1.
-/*! \relates Linear_Expression */
-void sub_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2);
-
-//! Returns the linear expression \p e - \p n * \p v and assigns it to \p e.
-/*! \relates Linear_Expression */
-Linear_Expression&
-sub_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n, Variable v);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The basic comparison function.
-/*! \relates Linear_Expression
-
- \returns -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
- is greater. The absolute value of the result is 1 if the difference
- is only in the inhomogeneous terms, 2 otherwise
-
- The order is a lexicographic. It starts comparing the variables' coefficient,
- starting from Variable(0), and at the end it compares the inhomogeneous
- terms.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-int compare(const Linear_Expression& x, const Linear_Expression& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-std::ostream& operator<<(std::ostream& s, const Linear_Expression& e);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-//! A linear expression.
-/*! \ingroup PPL_CXX_interface
- An object of the class Linear_Expression represents the linear expression
- \f[
- \sum_{i=0}^{n-1} a_i x_i + b
- \f]
- where \f$n\f$ is the dimension of the vector space,
- each \f$a_i\f$ is the integer coefficient
- of the \f$i\f$-th variable \f$x_i\f$
- and \f$b\f$ is the integer for the inhomogeneous term.
-
- \par How to build a linear expression.
-
- Linear expressions are the basic blocks for defining
- both constraints (i.e., linear equalities or inequalities)
- and generators (i.e., lines, rays, points and closure points).
- A full set of functions is defined to provide a convenient interface
- for building complex linear expressions starting from simpler ones
- and from objects of the classes Variable and Coefficient:
- available operators include unary negation,
- binary addition and subtraction,
- as well as multiplication by a Coefficient.
- The space dimension of a linear expression is defined as the maximum
- space dimension of the arguments used to build it:
- in particular, the space dimension of a Variable <CODE>x</CODE>
- is defined as <CODE>x.id()+1</CODE>,
- whereas all the objects of the class Coefficient have space dimension zero.
-
- \par Example
- The following code builds the linear expression \f$4x - 2y - z + 14\f$,
- having space dimension \f$3\f$:
- \code
- Linear_Expression e = 4*x - 2*y - z + 14;
- \endcode
- Another way to build the same linear expression is:
- \code
- Linear_Expression e1 = 4*x;
- Linear_Expression e2 = 2*y;
- Linear_Expression e3 = z;
- Linear_Expression e = Linear_Expression(14);
- e += e1 - e2 - e3;
- \endcode
- Note that \p e1, \p e2 and \p e3 have space dimension 1, 2 and 3,
- respectively; also, in the fourth line of code, \p e is created
- with space dimension zero and then extended to space dimension 3
- in the fifth line.
-*/
-class Parma_Polyhedra_Library::Linear_Expression {
-public:
-
- static const Representation default_representation = SPARSE;
-
- //! Default constructor: returns a copy of Linear_Expression::zero().
- explicit Linear_Expression(Representation r = default_representation);
-
- //! Ordinary copy constructor.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- Linear_Expression(const Linear_Expression& e);
-
- //! Copy constructor that takes also a Representation.
- Linear_Expression(const Linear_Expression& e, Representation r);
-
- //! Copy constructor from a Expression_Hide_Inhomo.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Inhomo<Expression>& e);
-
- //! Copy constructor from a Expression_Hide_Inhomo that takes a
- //! Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- Representation r);
-
- //! Copy constructor from a Expression_Hide_Inhomo that takes a space
- //! dimension.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim);
-
- //! Copy constructor from a Expression_Hide_Inhomo that takes a
- //! space dimension and a Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim, Representation r);
-
- //! Copy constructor from a Expression_Hide_Last.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Last<Expression>& e);
-
- //! Copy constructor from a Expression_Hide_Last that takes a
- //! Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Last<Expression>& e,
- Representation r);
-
- //! Copy constructor from a Expression_Hide_Last that takes a space
- //! dimension.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim);
-
- //! Copy constructor from a Expression_Hide_Last that takes a
- //! space dimension and a Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim, Representation r);
-
- Linear_Expression& operator=(const Linear_Expression& e);
-
- //! Destructor.
- ~Linear_Expression();
-
- /*! \brief
- Builds the linear expression corresponding
- to the inhomogeneous term \p n.
- */
- explicit Linear_Expression(Coefficient_traits::const_reference n,
- Representation r = default_representation);
-
- //! Builds the linear expression corresponding to the variable \p v.
- /*!
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Expression::max_space_dimension()</CODE>.
- */
- Linear_Expression(Variable v, Representation r = default_representation);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to constraint \p c.
- /*!
- Given the constraint
- \f$c = \bigl(\sum_{i=0}^{n-1} a_i x_i + b \relsym 0\bigr)\f$,
- where \f$\mathord{\relsym} \in \{ =, \geq, > \}\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
- If \p c is an inequality (resp., equality) constraint, then
- the built linear expression is unique up to a positive
- (resp., non-zero) factor.
-
- The constructed Linear_Expression has the same representation as \p c.
- */
- explicit Linear_Expression(const Constraint& c);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to constraint \p c.
- /*!
- Given the constraint
- \f$c = \bigl(\sum_{i=0}^{n-1} a_i x_i + b \relsym 0\bigr)\f$,
- where \f$\mathord{\relsym} \in \{ =, \geq, > \}\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
- If \p c is an inequality (resp., equality) constraint, then
- the built linear expression is unique up to a positive
- (resp., non-zero) factor.
- */
- explicit Linear_Expression(const Constraint& c, Representation r);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to generator \p g
- (for points and closure points, the divisor is not copied).
-
- Given the generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- (where, for lines and rays, we have \f$d = 1\f$),
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression will always be 0.
- If \p g is a ray, point or closure point (resp., a line), then
- the linear expression is unique up to a positive
- (resp., non-zero) factor.
-
- The constructed Linear_Expression has the same representation as \p g.
- */
- explicit Linear_Expression(const Generator& g);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to generator \p g
- (for points and closure points, the divisor is not copied).
-
- Given the generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- (where, for lines and rays, we have \f$d = 1\f$),
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression will always be 0.
- If \p g is a ray, point or closure point (resp., a line), then
- the linear expression is unique up to a positive
- (resp., non-zero) factor.
- */
- explicit Linear_Expression(const Generator& g, Representation r);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to grid generator \p g
- (for points, parameters and lines the divisor is not copied).
-
- Given the grid generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression is always 0.
-
- The constructed Linear_Expression has the same representation as \p g.
- */
- explicit Linear_Expression(const Grid_Generator& g);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to grid generator \p g
- (for points, parameters and lines the divisor is not copied).
-
- Given the grid generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression is always 0.
- */
- explicit Linear_Expression(const Grid_Generator& g, Representation r);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to congruence \p cg.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
-
- The constructed Linear_Expression has the same representation as \p cg.
- */
- explicit Linear_Expression(const Congruence& cg);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to congruence \p cg.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
- */
- explicit Linear_Expression(const Congruence& cg, Representation r);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! A const %iterator on the expression (homogeneous) coefficient that are
- //! nonzero.
- /*!
- These iterators are invalidated by operations that modify the expression.
- */
- class const_iterator {
- private:
- public:
- typedef std::bidirectional_iterator_tag iterator_category;
- typedef const Coefficient value_type;
- typedef ptrdiff_t difference_type;
- typedef value_type* pointer;
- typedef Coefficient_traits::const_reference reference;
-
- //! Constructs an invalid const_iterator.
- /*!
- This constructor takes \f$O(1)\f$ time.
- */
- explicit const_iterator();
-
- //! The copy constructor.
- /*!
- \param itr
- The %iterator that will be copied.
-
- This constructor takes \f$O(1)\f$ time.
- */
- const_iterator(const const_iterator& itr);
-
- ~const_iterator();
-
- //! Swaps itr with *this.
- /*!
- \param itr
- The %iterator that will be swapped with *this.
-
- This method takes \f$O(1)\f$ time.
- */
- void m_swap(const_iterator& itr);
-
- //! Assigns \p itr to *this .
- /*!
- \param itr
- The %iterator that will be assigned into *this.
-
- This method takes \f$O(1)\f$ time.
- */
- const_iterator& operator=(const const_iterator& itr);
-
- //! Navigates to the next nonzero coefficient.
- /*!
- This method takes \f$O(n)\f$ time for dense expressions, and
- \f$O(1)\f$ time for sparse expressions.
- */
- const_iterator& operator++();
-
- //! Navigates to the previous nonzero coefficient.
- /*!
- This method takes \f$O(n)\f$ time for dense expressions, and
- \f$O(1)\f$ time for sparse expressions.
- */
- const_iterator& operator--();
-
- //! Returns the current element.
- reference operator*() const;
-
- //! Returns the variable of the coefficient pointed to by \c *this.
- /*!
- \returns the variable of the coefficient pointed to by \c *this.
- */
- Variable variable() const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- bool operator==(const const_iterator& x) const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- bool operator!=(const const_iterator& x) const;
-
- private:
- //! Constructor from a const_iterator_interface*.
- //! The new object takes ownership of the dynamic object.
- const_iterator(Linear_Expression_Interface::const_iterator_interface* itr);
-
- Linear_Expression_Interface::const_iterator_interface* itr;
-
- friend class Linear_Expression;
- };
-
- //! Returns an iterator that points to the first nonzero coefficient in the
- //! expression.
- const_iterator begin() const;
-
- //! Returns an iterator that points to the last nonzero coefficient in the
- //! expression.
- const_iterator end() const;
-
- //! Returns an iterator that points to the first nonzero coefficient of a
- //! variable bigger than or equal to v.
- const_iterator lower_bound(Variable v) const;
-
- //! Returns the maximum space dimension a Linear_Expression can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Sets the dimension of the vector space enclosing \p *this to \p n .
- void set_space_dimension(dimension_type n);
-
- //! Returns the coefficient of \p v in \p *this.
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Sets the coefficient of \p v in \p *this to \p n.
- void set_coefficient(Variable v,
- Coefficient_traits::const_reference n);
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Sets the inhomogeneous term of \p *this to \p n.
- void set_inhomogeneous_term(Coefficient_traits::const_reference n);
-
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param v
- The variable whose coefficient has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the coefficient of variable \p v equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- void linear_combine(const Linear_Expression& y, Variable v);
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
- //! c1 and c2 are not 0.
- void linear_combine(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2);
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
- //! c1 and c2 may be 0.
- void linear_combine_lax(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Removes all the specified dimensions from the expression.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Permutes the space dimensions of the expression.
- /*!
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- bool is_zero() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- bool all_homogeneous_terms_are_zero() const;
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- //! Returns the (zero-dimension space) constant 0.
- static const Linear_Expression& zero();
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Swaps \p *this with \p y.
- void m_swap(Linear_Expression& y);
-
- //! Copy constructor with a specified space dimension.
- Linear_Expression(const Linear_Expression& e, dimension_type space_dim);
-
- //! Copy constructor with a specified space dimension and representation.
- Linear_Expression(const Linear_Expression& e, dimension_type space_dim,
- Representation r);
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- bool is_equal_to(const Linear_Expression& x) const;
-
- //! Normalizes the modulo of the coefficients and of the inhomogeneous term
- //! so that they are mutually prime.
- /*!
- Computes the Greatest Common Divisor (GCD) among the coefficients
- and the inhomogeneous term and normalizes them by the GCD itself.
- */
- void normalize();
-
- //! Ensures that the first nonzero homogeneous coefficient is positive,
- //! by negating the row if necessary.
- void sign_normalize();
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- bool all_zeroes(const Variables_Set& vars) const;
-
-private:
- /*! \brief
- Holds (between class initialization and finalization) a pointer to
- the (zero-dimension space) constant 0.
- */
- static const Linear_Expression* zero_p;
-
- Linear_Expression_Interface* impl;
-
- //! Implementation sizing constructor.
- /*!
- The bool parameter is just to avoid problems with
- the constructor Linear_Expression(Coefficient_traits::const_reference n).
- */
- Linear_Expression(dimension_type space_dim, bool,
- Representation r = default_representation);
-
- //! Builds the linear expression corresponding to congruence \p cg, and
- //! with the specified space dimension.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression
- \f$\sum_{i=0}^{space_dim-1} a_i x_i + b\f$.
-
- The constructed Linear_Expression has the same representation as \p cg.
- */
- Linear_Expression(const Congruence& cg, dimension_type space_dim);
-
- //! Builds the linear expression corresponding to congruence \p cg, and
- //! with the specified space dimension.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression
- \f$\sum_{i=0}^{space_dim-1} a_i x_i + b\f$.
- */
- Linear_Expression(const Congruence& cg, dimension_type space_dim,
- Representation r);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the i-th coefficient.
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets the i-th coefficient to n.
- void set(dimension_type i, Coefficient_traits::const_reference n);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the coefficient of v.
- Coefficient_traits::const_reference get(Variable v) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets the coefficient of v to n.
- void set(Variable v, Coefficient_traits::const_reference n);
-
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- bool all_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- dimension_type num_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- Coefficient gcd(dimension_type start, dimension_type end) const;
-
- void exact_div_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end);
-
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- void linear_combine(const Linear_Expression& y, dimension_type i);
-
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end). It assumes that c1 and c2 are nonzero.
- void linear_combine(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end). c1 and c2 may be zero.
- void linear_combine_lax(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- //! Equivalent to <CODE>(*this)[i] *= n</CODE>, for each i in [start, end).
- void mul_assign(Coefficient_traits::const_reference n,
- dimension_type start, dimension_type end);
-
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- dimension_type last_nonzero() const;
-
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- dimension_type last_nonzero(dimension_type first, dimension_type last) const;
-
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- dimension_type first_nonzero(dimension_type first, dimension_type last) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- bool all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const;
-
- //! Sets results to the sum of (*this)[i]*y[i], for each i.
- void scalar_product_assign(Coefficient& result,
- const Linear_Expression& y) const;
-
- //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
- void scalar_product_assign(Coefficient& result, const Linear_Expression& y,
- dimension_type start, dimension_type end) const;
-
- //! Computes the sign of the sum of (*this)[i]*y[i], for each i.
- int scalar_product_sign(const Linear_Expression& y) const;
-
- //! Computes the sign of the sum of (*this)[i]*y[i],
- //! for each i in [start,end).
- int scalar_product_sign(const Linear_Expression& y,
- dimension_type start, dimension_type end) const;
-
- //! Removes from the set x all the indexes of nonzero elements of *this.
- void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- bool is_equal_to(const Linear_Expression& x,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- bool is_equal_to(const Linear_Expression& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Dense_Row& row) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Sparse_Row& row) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- bool have_a_common_variable(const Linear_Expression& x,
- Variable first, Variable last) const;
-
- /*! \brief
- Negates the elements from index \p first (included)
- to index \p last (excluded).
- */
- void negate(dimension_type first, dimension_type last);
-
- template <typename Row>
- friend class Linear_Expression_Impl;
-
- // NOTE: The following classes are friends of Linear_Expression in order
- // to access its private methods.
- // Since they are *not* friend of Linear_Expression_Impl, they can only
- // access its public methods so they cannot break the class invariant of
- // Linear_Expression_Impl.
- friend class Grid;
- friend class Congruence;
- friend class Polyhedron;
- friend class PIP_Tree_Node;
- friend class Grid_Generator;
- friend class Generator;
- friend class Constraint;
- friend class Constraint_System;
- friend class PIP_Problem;
- friend class BHRZ03_Certificate;
- friend class Scalar_Products;
- friend class MIP_Problem;
- friend class Box_Helpers;
- friend class Congruence_System;
- friend class BD_Shape_Helpers;
- friend class Octagonal_Shape_Helper;
- friend class Termination_Helpers;
- template <typename T>
- friend class BD_Shape;
- template <typename T>
- friend class Octagonal_Shape;
- template <typename T>
- friend class Linear_System;
- template <typename T>
- friend class Box;
- template <typename T>
- friend class Expression_Hide_Inhomo;
- template <typename T>
- friend class Expression_Hide_Last;
-
- friend Linear_Expression
- operator+(const Linear_Expression& e1, const Linear_Expression& e2);
- friend Linear_Expression
- operator+(Coefficient_traits::const_reference n, const Linear_Expression& e);
- friend Linear_Expression
- operator+(const Linear_Expression& e, Coefficient_traits::const_reference n);
- friend Linear_Expression
- operator+(Variable v, const Linear_Expression& e);
- friend Linear_Expression
- operator+(Variable v, Variable w);
-
- friend Linear_Expression
- operator-(const Linear_Expression& e);
-
- friend Linear_Expression
- operator-(const Linear_Expression& e1, const Linear_Expression& e2);
- friend Linear_Expression
- operator-(Variable v, Variable w);
- friend Linear_Expression
- operator-(Coefficient_traits::const_reference n, const Linear_Expression& e);
- friend Linear_Expression
- operator-(const Linear_Expression& e, Coefficient_traits::const_reference n);
- friend Linear_Expression
- operator-(Variable v, const Linear_Expression& e);
- friend Linear_Expression
- operator-(const Linear_Expression& e, Variable v);
-
- friend Linear_Expression
- operator*(Coefficient_traits::const_reference n, const Linear_Expression& e);
- friend Linear_Expression
- operator*(const Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Linear_Expression&
- operator+=(Linear_Expression& e1, const Linear_Expression& e2);
- friend Linear_Expression&
- operator+=(Linear_Expression& e, Variable v);
- friend Linear_Expression&
- operator+=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Linear_Expression&
- operator-=(Linear_Expression& e1, const Linear_Expression& e2);
- friend Linear_Expression&
- operator-=(Linear_Expression& e, Variable v);
- friend Linear_Expression&
- operator-=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend Linear_Expression&
- operator*=(Linear_Expression& e, Coefficient_traits::const_reference n);
- friend Linear_Expression&
- operator/=(Linear_Expression& e, Coefficient_traits::const_reference n);
-
- friend void
- neg_assign(Linear_Expression& e);
-
- friend Linear_Expression&
- add_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n, Variable v);
- friend Linear_Expression&
- sub_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n, Variable v);
-
- friend void
- add_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2);
- friend void
- sub_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2);
-
- friend int
- compare(const Linear_Expression& x, const Linear_Expression& y);
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators
- ::operator<<(std::ostream& s, const Linear_Expression& e);
-};
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Linear_Expression */
-void swap(Linear_Expression& x, Linear_Expression& y);
-
-//! Swaps \p x with \p y.
-/*! \relates Linear_Expression::const_iterator */
-void swap(Linear_Expression::const_iterator& x,
- Linear_Expression::const_iterator& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Linear_Expression.inlines.hh"
-
-#endif // !defined(PPL_Linear_Expression_defs_hh)
diff --git a/src/Linear_Expression.inlines.hh b/src/Linear_Expression.inlines.hh
deleted file mode 100644
index c83b3aa..0000000
--- a/src/Linear_Expression.inlines.hh
+++ /dev/null
@@ -1,880 +0,0 @@
-/* Linear_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Expression_inlines_hh
-#define PPL_Linear_Expression_inlines_hh 1
-
-#include "Expression_Hide_Inhomo.defs.hh"
-#include "Expression_Hide_Last.defs.hh"
-
-
-namespace Parma_Polyhedra_Library {
-
-inline Linear_Expression&
-Linear_Expression::operator=(const Linear_Expression& e) {
- Linear_Expression tmp = e;
- swap(*this, tmp);
- return *this;
-}
-
-inline
-Linear_Expression::~Linear_Expression() {
- delete impl;
-}
-
-inline Representation
-Linear_Expression::representation() const {
- return impl->representation();
-}
-
-inline dimension_type
-Linear_Expression::space_dimension() const {
- return impl->space_dimension();
-}
-
-inline void
-Linear_Expression::set_space_dimension(dimension_type n) {
- impl->set_space_dimension(n);
-}
-
-inline Coefficient_traits::const_reference
-Linear_Expression::coefficient(Variable v) const {
- return impl->coefficient(v);
-}
-
-inline void
-Linear_Expression
-::set_coefficient(Variable v, Coefficient_traits::const_reference n) {
- impl->set_coefficient(v, n);
-}
-
-inline Coefficient_traits::const_reference
-Linear_Expression::inhomogeneous_term() const {
- return impl->inhomogeneous_term();
-}
-
-inline void
-Linear_Expression
-::set_inhomogeneous_term(Coefficient_traits::const_reference n) {
- impl->set_inhomogeneous_term(n);
-}
-
-inline void
-Linear_Expression::swap_space_dimensions(Variable v1, Variable v2) {
- impl->swap_space_dimensions(v1, v2);
-}
-
-inline void
-Linear_Expression::shift_space_dimensions(Variable v, dimension_type n) {
- impl->shift_space_dimensions(v, n);
-}
-
-inline bool
-Linear_Expression::is_zero() const {
- return impl->is_zero();
-}
-
-inline bool
-Linear_Expression::all_homogeneous_terms_are_zero() const {
- return impl->all_homogeneous_terms_are_zero();
-}
-
-inline const Linear_Expression&
-Linear_Expression::zero() {
- PPL_ASSERT(zero_p != 0);
- return *zero_p;
-}
-
-inline memory_size_type
-Linear_Expression::external_memory_in_bytes() const {
- return impl->total_memory_in_bytes();
-}
-
-inline memory_size_type
-Linear_Expression::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator+(const Linear_Expression& e) {
- return e;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator+(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- Linear_Expression x = e;
- x += n;
- return x;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator+(const Linear_Expression& e, const Variable v) {
- Linear_Expression x = e;
- x += v;
- return x;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator-(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- Linear_Expression x = e;
- x -= n;
- return x;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator-(const Variable v, const Variable w) {
- const dimension_type v_space_dim = v.space_dimension();
- const dimension_type w_space_dim = w.space_dimension();
- const dimension_type space_dim = std::max(v_space_dim, w_space_dim);
- if (space_dim > Linear_Expression::max_space_dimension())
- throw std::length_error("Linear_Expression "
- "PPL::operator+(v, w):\n"
- "v or w exceed the maximum allowed "
- "space dimension.");
- if (v_space_dim >= w_space_dim) {
- Linear_Expression e(v);
- e -= w;
- return e;
- } else {
- Linear_Expression e(w.space_dimension(), true);
- e -= w;
- e += v;
- return e;
- }
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator*(const Linear_Expression& e, Coefficient_traits::const_reference n) {
- Linear_Expression x = e;
- x *= n;
- return x;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression&
-operator+=(Linear_Expression& e, Coefficient_traits::const_reference n) {
- *e.impl += n;
- return e;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression&
-operator-=(Linear_Expression& e, Coefficient_traits::const_reference n) {
- *e.impl -= n;
- return e;
-}
-
-inline void
-Linear_Expression::m_swap(Linear_Expression& y) {
- using std::swap;
- swap(impl, y.impl);
-}
-
-inline void
-Linear_Expression::normalize() {
- impl->normalize();
-}
-
-inline void
-Linear_Expression::ascii_dump(std::ostream& s) const {
- impl->ascii_dump(s);
-}
-
-inline bool
-Linear_Expression::ascii_load(std::istream& s) {
- return impl->ascii_load(s);
-}
-
-inline void
-Linear_Expression::remove_space_dimensions(const Variables_Set& vars) {
- impl->remove_space_dimensions(vars);
-}
-
-inline void
-Linear_Expression::permute_space_dimensions(const std::vector<Variable>& cycle) {
- impl->permute_space_dimensions(cycle);
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator+(const Linear_Expression& e1, const Linear_Expression& e2) {
- if (e1.space_dimension() >= e2.space_dimension()) {
- Linear_Expression e = e1;
- e += e2;
- return e;
- } else {
- Linear_Expression e = e2;
- e += e1;
- return e;
- }
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator+(const Variable v, const Linear_Expression& e) {
- return e + v;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator+(Coefficient_traits::const_reference n,
- const Linear_Expression& e) {
- return e + n;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator+(const Variable v, const Variable w) {
- const dimension_type v_space_dim = v.space_dimension();
- const dimension_type w_space_dim = w.space_dimension();
- const dimension_type space_dim = std::max(v_space_dim, w_space_dim);
- if (space_dim > Linear_Expression::max_space_dimension())
- throw std::length_error("Linear_Expression "
- "PPL::operator+(v, w):\n"
- "v or w exceed the maximum allowed "
- "space dimension.");
- if (v_space_dim >= w_space_dim) {
- Linear_Expression e(v);
- e += w;
- return e;
- } else {
- Linear_Expression e(w);
- e += v;
- return e;
- }
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator-(const Linear_Expression& e) {
- Linear_Expression r(e);
- neg_assign(r);
- return r;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator-(const Linear_Expression& e1, const Linear_Expression& e2) {
- if (e1.space_dimension() >= e2.space_dimension()) {
- Linear_Expression e = e1;
- e -= e2;
- return e;
- } else {
- Linear_Expression e = e2;
- neg_assign(e);
- e += e1;
- return e;
- }
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator-(const Variable v, const Linear_Expression& e) {
- Linear_Expression result(e, std::max(v.space_dimension(), e.space_dimension()));
- result.negate(0, e.space_dimension() + 1);
- result += v;
- return result;
-}
-
-/*! \relates Linear_Expression */
-inline Linear_Expression
-operator-(const Linear_Expression& e, const Variable v) {
- Linear_Expression result(e, std::max(v.space_dimension(), e.space_dimension()));
- result -= v;
- return result;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator-(Coefficient_traits::const_reference n,
- const Linear_Expression& e) {
- Linear_Expression result(e);
- neg_assign(result);
- result += n;
- return result;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression
-operator*(Coefficient_traits::const_reference n,
- const Linear_Expression& e) {
- return e * n;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-operator+=(Linear_Expression& e1, const Linear_Expression& e2) {
- *e1.impl += *e2.impl;
- return e1;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-operator+=(Linear_Expression& e, const Variable v) {
- *e.impl += v;
- return e;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-operator-=(Linear_Expression& e1, const Linear_Expression& e2) {
- *e1.impl -= *e2.impl;
- return e1;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-operator-=(Linear_Expression& e, const Variable v) {
- *e.impl -= v;
- return e;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-operator*=(Linear_Expression& e, Coefficient_traits::const_reference n) {
- *e.impl *= n;
- return e;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-operator/=(Linear_Expression& e, Coefficient_traits::const_reference n) {
- *e.impl /= n;
- return e;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline void
-neg_assign(Linear_Expression& e) {
- e.impl->negate();
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-add_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n,
- const Variable v) {
- e.impl->add_mul_assign(n, v);
- return e;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline Linear_Expression&
-sub_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n,
- const Variable v) {
- e.impl->sub_mul_assign(n, v);
- return e;
-}
-
-inline void
-add_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2) {
- e1.impl->add_mul_assign(factor, *e2.impl);
-}
-
-inline void
-sub_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2) {
- e1.impl->sub_mul_assign(factor, *e2.impl);
-}
-
-inline Coefficient_traits::const_reference
-Linear_Expression::get(dimension_type i) const {
- return impl->get(i);
-}
-
-inline void
-Linear_Expression::set(dimension_type i,
- Coefficient_traits::const_reference n) {
- impl->set(i, n);
-}
-
-inline Coefficient_traits::const_reference
-Linear_Expression::get(Variable v) const {
- return impl->get(v.space_dimension());
-}
-
-inline void
-Linear_Expression::set(Variable v,
- Coefficient_traits::const_reference n) {
- impl->set(v.space_dimension(), n);
-}
-
-inline bool
-Linear_Expression::all_zeroes(dimension_type start, dimension_type end) const {
- return impl->all_zeroes(start, end);
-}
-
-inline dimension_type
-Linear_Expression::num_zeroes(dimension_type start, dimension_type end) const {
- return impl->num_zeroes(start, end);
-}
-
-inline Coefficient
-Linear_Expression::gcd(dimension_type start, dimension_type end) const {
- return impl->gcd(start, end);
-}
-
-inline void
-Linear_Expression
-::exact_div_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end) {
- impl->exact_div_assign(c, start, end);
-}
-
-inline void
-Linear_Expression
-::mul_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end) {
- impl->mul_assign(c, start, end);
-}
-
-inline void
-Linear_Expression::sign_normalize() {
- impl->sign_normalize();
-}
-
-inline void
-Linear_Expression::negate(dimension_type first, dimension_type last) {
- impl->negate(first, last);
-}
-
-inline bool
-Linear_Expression::all_zeroes(const Variables_Set& vars) const {
- return impl->all_zeroes(vars);
-}
-
-inline bool
-Linear_Expression::all_zeroes_except(const Variables_Set& vars, dimension_type start, dimension_type end) const {
- return impl->all_zeroes_except(vars, start, end);
-}
-
-inline dimension_type
-Linear_Expression::last_nonzero() const {
- return impl->last_nonzero();
-}
-
-inline void
-Linear_Expression
-::scalar_product_assign(Coefficient& result, const Linear_Expression& y) const {
- scalar_product_assign(result, y, 0, space_dimension() + 1);
-}
-
-inline void
-Linear_Expression
-::scalar_product_assign(Coefficient& result, const Linear_Expression& y,
- dimension_type start, dimension_type end) const {
- impl->scalar_product_assign(result, *(y.impl), start, end);
-}
-
-inline int
-Linear_Expression
-::scalar_product_sign(const Linear_Expression& y) const {
- return scalar_product_sign(y, 0, space_dimension() + 1);
-}
-
-inline int
-Linear_Expression
-::scalar_product_sign(const Linear_Expression& y,
- dimension_type start, dimension_type end) const {
- return impl->scalar_product_sign(*(y.impl), start, end);
-}
-
-inline dimension_type
-Linear_Expression
-::first_nonzero(dimension_type first, dimension_type last) const {
- return impl->first_nonzero(first, last);
-}
-
-inline dimension_type
-Linear_Expression
-::last_nonzero(dimension_type first, dimension_type last) const {
- return impl->last_nonzero(first, last);
-}
-
-inline void
-Linear_Expression
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
- return impl->has_a_free_dimension_helper(x);
-}
-
-inline bool
-Linear_Expression
-::is_equal_to(const Linear_Expression& x,
- dimension_type start, dimension_type end) const {
- return impl->is_equal_to(*(x.impl), start, end);
-}
-
-inline bool
-Linear_Expression
-::is_equal_to(const Linear_Expression& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- return impl->is_equal_to(*(x.impl), c1, c2, start, end);
-}
-
-inline void
-Linear_Expression
-::get_row(Dense_Row& row) const {
- return impl->get_row(row);
-}
-
-inline void
-Linear_Expression
-::get_row(Sparse_Row& row) const {
- return impl->get_row(row);
-}
-
-inline void
-Linear_Expression
-::linear_combine(const Linear_Expression& y, dimension_type i) {
- impl->linear_combine(*y.impl, i);
-}
-
-inline void
-Linear_Expression
-::linear_combine(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) {
- impl->linear_combine(*y.impl, c1, c2);
-}
-
-inline void
-Linear_Expression
-::linear_combine_lax(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) {
- impl->linear_combine_lax(*y.impl, c1, c2);
-}
-
-inline int
-compare(const Linear_Expression& x, const Linear_Expression& y) {
- return x.impl->compare(*y.impl);
-}
-
-inline bool
-Linear_Expression::is_equal_to(const Linear_Expression& x) const {
- return impl->is_equal_to(*x.impl);
-}
-
-inline void
-Linear_Expression::linear_combine(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start,
- dimension_type end) {
- impl->linear_combine(*y.impl, c1, c2, start, end);
-}
-
-inline void
-Linear_Expression::linear_combine_lax(const Linear_Expression& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start,
- dimension_type end) {
- impl->linear_combine_lax(*y.impl, c1, c2, start, end);
-}
-
-inline bool
-Linear_Expression
-::have_a_common_variable(const Linear_Expression& x,
- Variable first, Variable last) const {
- return impl->have_a_common_variable(*(x.impl), first, last);
-}
-
-inline
-Linear_Expression::const_iterator
-::const_iterator()
- : itr(NULL) {
-}
-
-inline
-Linear_Expression::const_iterator
-::const_iterator(const const_iterator& x)
- : itr(x.itr->clone()) {
-}
-
-inline
-Linear_Expression::const_iterator
-::~const_iterator() {
- // Note that this does nothing if itr==NULL.
- delete itr;
-}
-
-inline void
-Linear_Expression::const_iterator::m_swap(const_iterator& x) {
- using std::swap;
- swap(itr, x.itr);
-}
-
-inline Linear_Expression::const_iterator&
-Linear_Expression::const_iterator
-::operator=(const const_iterator& itr) {
- const_iterator tmp = itr;
- using std::swap;
- swap(*this, tmp);
- return *this;
-}
-
-inline Linear_Expression::const_iterator&
-Linear_Expression::const_iterator
-::operator++() {
- PPL_ASSERT(itr != NULL);
- ++(*itr);
- return *this;
-}
-
-inline Linear_Expression::const_iterator&
-Linear_Expression::const_iterator
-::operator--() {
- PPL_ASSERT(itr != NULL);
- --(*itr);
- return *this;
-}
-
-inline Linear_Expression::const_iterator::reference
-Linear_Expression::const_iterator
-::operator*() const {
- PPL_ASSERT(itr != NULL);
- return *(*itr);
-}
-
-inline Variable
-Linear_Expression::const_iterator
-::variable() const {
- PPL_ASSERT(itr != NULL);
- return itr->variable();
-}
-
-inline bool
-Linear_Expression::const_iterator
-::operator==(const const_iterator& x) const {
- PPL_ASSERT(itr != NULL);
- PPL_ASSERT(x.itr != NULL);
- return *itr == *(x.itr);
-}
-
-inline bool
-Linear_Expression::const_iterator
-::operator!=(const const_iterator& x) const {
- return !(*this == x);
-}
-
-inline
-Linear_Expression::const_iterator
-::const_iterator(Linear_Expression_Interface::const_iterator_interface* itr)
- : itr(itr) {
- PPL_ASSERT(itr != NULL);
-}
-
-inline Linear_Expression::const_iterator
-Linear_Expression
-::begin() const {
- return const_iterator(impl->begin());
-}
-
-inline Linear_Expression::const_iterator
-Linear_Expression
-::end() const {
- return const_iterator(impl->end());
-}
-
-inline Linear_Expression::const_iterator
-Linear_Expression
-::lower_bound(Variable v) const {
- return const_iterator(impl->lower_bound(v));
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e)
- : impl(NULL) {
- Linear_Expression tmp(e.representation());
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e, Representation r)
- : impl(NULL) {
- Linear_Expression tmp(r);
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim)
- : impl(NULL) {
- Linear_Expression tmp(e.representation());
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- itr_t i_end;
- if (space_dim <= e.space_dimension())
- i_end = e.lower_bound(Variable(space_dim));
- else
- i_end = e.end();
- for (itr_t i = e.begin(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim, Representation r)
- : impl(NULL) {
- Linear_Expression tmp(r);
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- itr_t i_end;
- if (space_dim <= e.space_dimension())
- i_end = e.lower_bound(Variable(space_dim));
- else
- i_end = e.end();
- for (itr_t i = e.begin(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e)
- : impl(NULL) {
- using std::swap;
- Linear_Expression tmp(e.representation());
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
- add_mul_assign(tmp, *i, i.variable());
- swap(impl, tmp.impl);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e, Representation r)
- : impl(NULL) {
- using std::swap;
- Linear_Expression tmp(r);
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
- add_mul_assign(tmp, *i, i.variable());
- swap(impl, tmp.impl);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim)
- : impl(NULL) {
- using std::swap;
- Linear_Expression tmp(e.representation());
- tmp.set_space_dimension(space_dim);
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
- itr_t i_end;
- if (space_dim <= e.space_dimension())
- i_end = e.lower_bound(Variable(space_dim));
- else
- i_end = e.end();
- for (itr_t i = e.begin(); i != i_end; ++i)
- add_mul_assign(tmp, *i, i.variable());
- swap(impl, tmp.impl);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim, Representation r)
- : impl(NULL) {
- using std::swap;
- Linear_Expression tmp(r);
- tmp.set_space_dimension(space_dim);
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
- itr_t i_end;
- if (space_dim <= e.space_dimension())
- i_end = e.lower_bound(Variable(space_dim));
- else
- i_end = e.end();
- for (itr_t i = e.begin(); i != i_end; ++i)
- add_mul_assign(tmp, *i, i.variable());
- swap(impl, tmp.impl);
-}
-
-namespace IO_Operators {
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline std::ostream&
-operator<<(std::ostream& s, const Linear_Expression& e) {
- e.impl->print(s);
- return s;
-}
-
-} // namespace IO_Operators
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression */
-inline void
-swap(Linear_Expression& x, Linear_Expression& y) {
- x.m_swap(y);
-}
-
-/*! \relates Linear_Expression::const_iterator */
-inline void
-swap(Linear_Expression::const_iterator& x,
- Linear_Expression::const_iterator& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Expression_inlines_hh)
diff --git a/src/Linear_Expression.types.hh b/src/Linear_Expression.types.hh
deleted file mode 100644
index e1dbd17..0000000
--- a/src/Linear_Expression.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Linear_Expression_types_hh
-#define PPL_Linear_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Linear_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Expression_types_hh)
diff --git a/src/Linear_Expression_Impl.cc b/src/Linear_Expression_Impl.cc
index 97ed637..e802c04 100644
--- a/src/Linear_Expression_Impl.cc
+++ b/src/Linear_Expression_Impl.cc
@@ -1,6 +1,6 @@
/* Linear_Expression_Impl class implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,9 +22,9 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Linear_Expression_Impl.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
+#include "Linear_Expression_Impl_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
#include "assert.hh"
#include <iostream>
@@ -113,7 +113,8 @@ Linear_Expression_Impl<Sparse_Row>
row.fast_swap(src.index() - num_removed, src);
++src;
}
- } else {
+ }
+ else {
// Shift left the coefficients in [src.index(), row.size()) by
// num_removed positions.
while (src != row_end) {
diff --git a/src/Linear_Expression_Impl.defs.hh b/src/Linear_Expression_Impl.defs.hh
deleted file mode 100644
index 2ab6620..0000000
--- a/src/Linear_Expression_Impl.defs.hh
+++ /dev/null
@@ -1,916 +0,0 @@
-/* Linear_Expression_Impl class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Expression_Impl_defs_hh
-#define PPL_Linear_Expression_Impl_defs_hh 1
-
-#include "Linear_Expression_Impl.types.hh"
-#include "Congruence.types.hh"
-#include "Coefficient.defs.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-#include <cstddef>
-#include "Linear_Expression_Interface.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-std::ostream&
-operator<<(std::ostream& s, const Linear_Expression_Impl<Row>& e);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A linear expression.
-/*! \ingroup PPL_CXX_interface
- An object of the class Linear_Expression_Impl represents the linear
- expression
- \f[
- \sum_{i=0}^{n-1} a_i x_i + b
- \f]
- where \f$n\f$ is the dimension of the vector space,
- each \f$a_i\f$ is the integer coefficient
- of the \f$i\f$-th variable \f$x_i\f$
- and \f$b\f$ is the integer for the inhomogeneous term.
-
- \par How to build a linear expression.
-
- Linear expressions are the basic blocks for defining
- both constraints (i.e., linear equalities or inequalities)
- and generators (i.e., lines, rays, points and closure points).
- A full set of functions is defined to provide a convenient interface
- for building complex linear expressions starting from simpler ones
- and from objects of the classes Variable and Coefficient:
- available operators include unary negation,
- binary addition and subtraction,
- as well as multiplication by a Coefficient.
- The space dimension of a linear expression is defined as the maximum
- space dimension of the arguments used to build it:
- in particular, the space dimension of a Variable <CODE>x</CODE>
- is defined as <CODE>x.id()+1</CODE>,
- whereas all the objects of the class Coefficient have space dimension zero.
-
- \par Example
- The following code builds the linear expression \f$4x - 2y - z + 14\f$,
- having space dimension \f$3\f$:
- \code
- Linear_Expression_Impl e = 4*x - 2*y - z + 14;
- \endcode
- Another way to build the same linear expression is:
- \code
- Linear_Expression_Impl e1 = 4*x;
- Linear_Expression_Impl e2 = 2*y;
- Linear_Expression_Impl e3 = z;
- Linear_Expression_Impl e = Linear_Expression_Impl(14);
- e += e1 - e2 - e3;
- \endcode
- Note that \p e1, \p e2 and \p e3 have space dimension 1, 2 and 3,
- respectively; also, in the fourth line of code, \p e is created
- with space dimension zero and then extended to space dimension 3
- in the fifth line.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-class Parma_Polyhedra_Library::Linear_Expression_Impl
- : public Linear_Expression_Interface {
-public:
- //! Default constructor: returns a copy of Linear_Expression_Impl::zero().
- Linear_Expression_Impl();
-
- //! Ordinary copy constructor.
- Linear_Expression_Impl(const Linear_Expression_Impl& e);
-
- //! Copy constructor for other row types.
- template <typename Row2>
- Linear_Expression_Impl(const Linear_Expression_Impl<Row2>& e);
-
- //! Copy constructor from any implementation of Linear_Expression_Interface.
- Linear_Expression_Impl(const Linear_Expression_Interface& e);
-
- //! Destructor.
- virtual ~Linear_Expression_Impl();
-
- //! Checks if all the invariants are satisfied.
- virtual bool OK() const;
-
- /*! \brief
- Builds the linear expression corresponding
- to the inhomogeneous term \p n.
- */
- explicit Linear_Expression_Impl(Coefficient_traits::const_reference n);
-
- //! Builds the linear expression corresponding to the variable \p v.
- /*!
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Expression_Impl::max_space_dimension()</CODE>.
- */
- Linear_Expression_Impl(Variable v);
-
- //! Returns the current representation of this linear expression.
- virtual Representation representation() const;
-
- //! An interface for const iterators on the expression (homogeneous)
- //! coefficients that are nonzero.
- /*!
- These iterators are invalidated by operations that modify the expression.
- */
- class const_iterator: public const_iterator_interface {
- public:
- explicit const_iterator(const Row& row, dimension_type i);
-
- //! Returns a copy of *this.
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- virtual const_iterator_interface* clone() const;
-
- //! Navigates to the next nonzero coefficient.
- //! Note that this method does *not* return a reference, to increase
- //! efficiency since it's virtual.
- virtual void operator++();
-
- //! Navigates to the previous nonzero coefficient.
- //! Note that this method does *not* return a reference, to increase
- //! efficiency since it's virtual.
- virtual void operator--();
-
- //! Returns the current element.
- virtual reference operator*() const;
-
- //! Returns the variable of the coefficient pointed to by \c *this.
- /*!
- \returns the variable of the coefficient pointed to by \c *this.
- */
- virtual Variable variable() const;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- virtual bool operator==(const const_iterator_interface& x) const;
-
- private:
-
- void skip_zeroes_forward();
- void skip_zeroes_backward();
-
- const Row* row;
- typename Row::const_iterator itr;
- };
-
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- virtual const_iterator_interface* begin() const;
-
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- virtual const_iterator_interface* end() const;
-
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- //! Returns (a pointer to) an iterator that points to the first nonzero
- //! coefficient of a variable greater than or equal to v, or at end if no
- //! such coefficient exists.
- virtual const_iterator_interface* lower_bound(Variable v) const;
-
- //! Returns the maximum space dimension a Linear_Expression_Impl can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- virtual dimension_type space_dimension() const;
-
- //! Sets the dimension of the vector space enclosing \p *this to \p n .
- virtual void set_space_dimension(dimension_type n);
-
- //! Returns the coefficient of \p v in \p *this.
- virtual Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Sets the coefficient of \p v in \p *this to \p n.
- virtual void set_coefficient(Variable v,
- Coefficient_traits::const_reference n);
-
- //! Returns the inhomogeneous term of \p *this.
- virtual Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Sets the inhomogeneous term of \p *this to \p n.
- virtual void set_inhomogeneous_term(Coefficient_traits::const_reference n);
-
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param v
- The variable whose coefficient has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the coefficient of variable \p v equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- virtual void linear_combine(const Linear_Expression_Interface& y, Variable v);
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
- //! \p *this and \p y have the same space dimension.
- virtual void linear_combine(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2);
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
- //! c1 and c2 may be 0.
- virtual void linear_combine_lax(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- virtual void swap_space_dimensions(Variable v1, Variable v2);
-
- //! Removes all the specified dimensions from the expression.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- virtual void remove_space_dimensions(const Variables_Set& vars);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- virtual void shift_space_dimensions(Variable v, dimension_type n);
-
- //! Permutes the space dimensions of the expression.
- /*!
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- virtual void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- virtual bool is_zero() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- virtual bool all_homogeneous_terms_are_zero() const;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- virtual memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- virtual memory_size_type external_memory_in_bytes() const;
-
- //! Writes to \p s an ASCII representation of \p *this.
- virtual void ascii_dump(std::ostream& s) const;
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- virtual bool ascii_load(std::istream& s);
-
- //! Copy constructor with a specified space dimension.
- Linear_Expression_Impl(const Linear_Expression_Interface& e,
- dimension_type space_dim);
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- virtual bool is_equal_to(const Linear_Expression_Interface& x) const;
-
- //! Normalizes the modulo of the coefficients and of the inhomogeneous term
- //! so that they are mutually prime.
- /*!
- Computes the Greatest Common Divisor (GCD) among the coefficients
- and the inhomogeneous term and normalizes them by the GCD itself.
- */
- virtual void normalize();
-
- //! Ensures that the first nonzero homogeneous coefficient is positive,
- //! by negating the row if necessary.
- virtual void sign_normalize();
-
- /*! \brief
- Negates the elements from index \p first (included)
- to index \p last (excluded).
- */
- virtual void negate(dimension_type first, dimension_type last);
-
- virtual Linear_Expression_Impl&
- operator+=(Coefficient_traits::const_reference n);
- virtual Linear_Expression_Impl&
- operator-=(Coefficient_traits::const_reference n);
-
- //! The basic comparison function.
- /*! \relates Linear_Expression_Impl
-
- \returns
- -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
- is greater. The absolute value of the result is 1 if the difference
- is only in the inhomogeneous terms, 2 otherwise.
-
- The order is a lexicographic. It starts comparing the variables'
- coefficient, starting from Variable(0), and at the end it compares
- the inhomogeneous terms.
- */
- virtual int compare(const Linear_Expression_Interface& y) const;
-
- virtual Linear_Expression_Impl&
- operator+=(const Linear_Expression_Interface& e2);
- virtual Linear_Expression_Impl& operator+=(const Variable v);
- virtual Linear_Expression_Impl&
- operator-=(const Linear_Expression_Interface& e2);
- virtual Linear_Expression_Impl& operator-=(const Variable v);
- virtual Linear_Expression_Impl&
- operator*=(Coefficient_traits::const_reference n);
- virtual Linear_Expression_Impl&
- operator/=(Coefficient_traits::const_reference n);
-
- virtual void negate();
-
- virtual Linear_Expression_Impl&
- add_mul_assign(Coefficient_traits::const_reference n, const Variable v);
-
- virtual Linear_Expression_Impl&
- sub_mul_assign(Coefficient_traits::const_reference n, const Variable v);
-
- virtual void add_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Interface& e2);
-
- virtual void sub_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Interface& e2);
-
- virtual void print(std::ostream& s) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- virtual bool all_zeroes(const Variables_Set& vars) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- virtual bool have_a_common_variable(const Linear_Expression_Interface& x,
- Variable first, Variable last) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the i-th coefficient.
- virtual Coefficient_traits::const_reference get(dimension_type i) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets the i-th coefficient to n.
- virtual void set(dimension_type i, Coefficient_traits::const_reference n);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- virtual bool all_zeroes(dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- virtual dimension_type num_zeroes(dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- virtual Coefficient gcd(dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- virtual void exact_div_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Equivalent to <CODE>(*this)[i] *= n</CODE>, for each i in [start, end).
- virtual void mul_assign(Coefficient_traits::const_reference n,
- dimension_type start, dimension_type end);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- virtual void
- linear_combine(const Linear_Expression_Interface& y, dimension_type i);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end).
- virtual void linear_combine(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end). c1 and c2 may be zero.
- virtual void linear_combine_lax(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- virtual dimension_type last_nonzero() const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- virtual bool
- all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
- virtual void
- scalar_product_assign(Coefficient& result,
- const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Computes the sign of the sum of (*this)[i]*y[i], for each i in [start,end).
- virtual int
- scalar_product_sign(const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- virtual dimension_type
- first_nonzero(dimension_type first, dimension_type last) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- virtual dimension_type
- last_nonzero(dimension_type first, dimension_type last) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Removes from the set x all the indexes of nonzero elements of *this.
- virtual void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- virtual bool is_equal_to(const Linear_Expression_Interface& x,
- dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- virtual bool is_equal_to(const Linear_Expression_Interface& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets `row' to a copy of the row that implements *this.
- virtual void get_row(Dense_Row& row) const;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets `row' to a copy of the row that implements *this.
- virtual void get_row(Sparse_Row& row) const;
-
- //! Implementation sizing constructor.
- /*!
- The bool parameter is just to avoid problems with
- the constructor Linear_Expression_Impl(Coefficient_traits::const_reference n).
- */
- Linear_Expression_Impl(dimension_type space_dim, bool);
-
- //! Builds the linear expression corresponding to congruence \p cg, and
- //! with the specified space dimension.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- builds the linear expression \f$\sum_{i=0}^{space_dim-1} a_i x_i + b\f$.
- */
- Linear_Expression_Impl(const Congruence& cg, dimension_type space_dim);
-
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param v
- The variable whose coefficient has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the coefficient of variable \p v equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- template <typename Row2>
- void linear_combine(const Linear_Expression_Impl<Row2>& y, Variable v);
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
- //! \p *this and \p y have the same space dimension.
- template <typename Row2>
- void linear_combine(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2);
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
- //! c1 and c2 may be 0.
- template <typename Row2>
- void linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2);
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- template <typename Row2>
- bool is_equal_to(const Linear_Expression_Impl<Row2>& x) const;
-
- template <typename Row2>
- Linear_Expression_Impl& operator+=(const Linear_Expression_Impl<Row2>& e2);
- template <typename Row2>
- Linear_Expression_Impl& operator-=(const Linear_Expression_Impl<Row2>& e2);
-
- template <typename Row2>
- Linear_Expression_Impl&
- sub_mul_assign(Coefficient_traits::const_reference n,
- const Linear_Expression_Impl<Row2>& y,
- dimension_type start, dimension_type end);
-
- template <typename Row2>
- void add_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Impl<Row2>& e2);
-
- template <typename Row2>
- void sub_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Impl<Row2>& e2);
-
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- template <typename Row2>
- void linear_combine(const Linear_Expression_Impl<Row2>& y, dimension_type i);
-
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end).
- template <typename Row2>
- void linear_combine(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end). c1 and c2 may be zero.
- template <typename Row2>
- void linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- //! The basic comparison function.
- /*! \relates Linear_Expression_Impl
-
- \returns
- -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
- is greater. The absolute value of the result is 1 if the difference
- is only in the inhomogeneous terms, 2 otherwise.
-
- The order is a lexicographic. It starts comparing the variables'
- coefficient, starting from Variable(0), and at the end it compares
- the inhomogeneous terms.
- */
- template <typename Row2>
- int compare(const Linear_Expression_Impl<Row2>& y) const;
-
- //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
- template <typename Row2>
- void
- scalar_product_assign(Coefficient& result,
- const Linear_Expression_Impl<Row2>& y,
- dimension_type start, dimension_type end) const;
-
- //! Computes the sign of the sum of (*this)[i]*y[i],
- //! for each i in [start,end).
- template <typename Row2>
- int scalar_product_sign(const Linear_Expression_Impl<Row2>& y,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- template <typename Row2>
- bool is_equal_to(const Linear_Expression_Impl<Row2>& x,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- template <typename Row2>
- bool is_equal_to(const Linear_Expression_Impl<Row2>& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- template <typename Row2>
- bool have_a_common_variable(const Linear_Expression_Impl<Row2>& x,
- Variable first, Variable last) const;
-
-private:
-
- void construct(const Linear_Expression_Interface& e);
- void construct(const Linear_Expression_Interface& e,
- dimension_type space_dim);
-
- template <typename Row2>
- void construct(const Linear_Expression_Impl<Row2>& e);
- template <typename Row2>
- void construct(const Linear_Expression_Impl<Row2>& e,
- dimension_type space_dim);
-
- Row row;
-
- template <typename Row2>
- friend class Linear_Expression_Impl;
-
-}; // class Parma_Polyhedra_Library::Linear_Expression_Impl
-
-
-namespace Parma_Polyhedra_Library {
-
-// NOTE: declaring explicit specializations.
-
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>::OK() const;
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>::OK() const;
-
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>::all_homogeneous_terms_are_zero() const;
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>::all_homogeneous_terms_are_zero() const;
-
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>::all_zeroes(dimension_type start,
- dimension_type end) const;
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>::all_zeroes(dimension_type start,
- dimension_type end) const;
-
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>
-::all_zeroes(const Variables_Set& vars) const;
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>
-::all_zeroes(const Variables_Set& vars) const;
-
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>
-::all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const;
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>
-::all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const;
-
-template <>
-dimension_type
-Linear_Expression_Impl<Dense_Row>
-::first_nonzero(dimension_type first, dimension_type last) const;
-template <>
-dimension_type
-Linear_Expression_Impl<Sparse_Row>
-::first_nonzero(dimension_type first, dimension_type last) const;
-
-template <>
-Coefficient
-Linear_Expression_Impl<Dense_Row>::gcd(dimension_type start,
- dimension_type end) const;
-template <>
-Coefficient
-Linear_Expression_Impl<Sparse_Row>::gcd(dimension_type start,
- dimension_type end) const;
-
-template <>
-void
-Linear_Expression_Impl<Dense_Row>
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-template <>
-void
-Linear_Expression_Impl<Sparse_Row>
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
-template <>
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>
-::have_a_common_variable(const Linear_Expression_Impl<Dense_Row>& y,
- Variable first, Variable last) const;
-template <>
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>
-::have_a_common_variable(const Linear_Expression_Impl<Sparse_Row>& y,
- Variable first, Variable last) const;
-template <>
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>
-::have_a_common_variable(const Linear_Expression_Impl<Dense_Row>& y,
- Variable first, Variable last) const;
-template <>
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>
-::have_a_common_variable(const Linear_Expression_Impl<Sparse_Row>& y,
- Variable first, Variable last) const;
-
-template <>
-bool
-Linear_Expression_Impl<Dense_Row>::is_zero() const;
-template <>
-bool
-Linear_Expression_Impl<Sparse_Row>::is_zero() const;
-
-template <>
-dimension_type
-Linear_Expression_Impl<Dense_Row>::last_nonzero() const;
-template <>
-dimension_type
-Linear_Expression_Impl<Sparse_Row>::last_nonzero() const;
-
-template <>
-dimension_type
-Linear_Expression_Impl<Dense_Row>
-::last_nonzero(dimension_type first, dimension_type last) const;
-template <>
-dimension_type
-Linear_Expression_Impl<Sparse_Row>
-::last_nonzero(dimension_type first, dimension_type last) const;
-
-template <>
-dimension_type
-Linear_Expression_Impl<Dense_Row>::num_zeroes(dimension_type start,
- dimension_type end) const;
-template <>
-dimension_type
-Linear_Expression_Impl<Sparse_Row>::num_zeroes(dimension_type start,
- dimension_type end) const;
-
-template <>
-void
-Linear_Expression_Impl<Dense_Row>
-::remove_space_dimensions(const Variables_Set& vars);
-template <>
-void
-Linear_Expression_Impl<Sparse_Row>
-::remove_space_dimensions(const Variables_Set& vars);
-
-template <>
-Representation
-Linear_Expression_Impl<Dense_Row>::representation() const;
-template <>
-Representation
-Linear_Expression_Impl<Sparse_Row>::representation() const;
-
-template <>
-void
-Linear_Expression_Impl<Dense_Row>::const_iterator::skip_zeroes_backward();
-template <>
-void
-Linear_Expression_Impl<Sparse_Row>::const_iterator::skip_zeroes_backward();
-
-template <>
-void
-Linear_Expression_Impl<Dense_Row>::const_iterator::skip_zeroes_forward();
-template <>
-void
-Linear_Expression_Impl<Sparse_Row>::const_iterator::skip_zeroes_forward();
-
-} // namespace Parma_Polyhedra_Library
-
-
-#include "Linear_Expression_Impl.inlines.hh"
-#include "Linear_Expression_Impl.templates.hh"
-
-#endif // !defined(PPL_Linear_Expression_Impl_defs_hh)
diff --git a/src/Linear_Expression_Impl.inlines.hh b/src/Linear_Expression_Impl.inlines.hh
deleted file mode 100644
index fe74cdb..0000000
--- a/src/Linear_Expression_Impl.inlines.hh
+++ /dev/null
@@ -1,282 +0,0 @@
-/* Linear_Expression_Impl class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Expression_Impl_inlines_hh
-#define PPL_Linear_Expression_Impl_inlines_hh 1
-
-#include "math_utilities.defs.hh"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-inline dimension_type
-Linear_Expression_Impl<Row>::max_space_dimension() {
- return Row::max_size() - 1;
-}
-
-template <typename Row>
-inline
-Linear_Expression_Impl<Row>::Linear_Expression_Impl()
- : row(1) {
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_Expression_Impl<Row>
-::Linear_Expression_Impl(dimension_type space_dim, bool)
- : row(space_dim + 1) {
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_Expression_Impl<Row>::~Linear_Expression_Impl() {
-}
-
-template <typename Row>
-inline
-Linear_Expression_Impl<Row>
-::Linear_Expression_Impl(Coefficient_traits::const_reference n)
- : row(1) {
- if (n != 0)
- row.insert(0, n);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline dimension_type
-Linear_Expression_Impl<Row>::space_dimension() const {
- return row.size() - 1;
-}
-
-template <typename Row>
-inline void
-Linear_Expression_Impl<Row>::set_space_dimension(dimension_type n) {
- row.resize(n + 1);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline Coefficient_traits::const_reference
-Linear_Expression_Impl<Row>::coefficient(Variable v) const {
- if (v.space_dimension() > space_dimension())
- return Coefficient_zero();
- return row.get(v.id() + 1);
-}
-
-template <typename Row>
-inline void
-Linear_Expression_Impl<Row>
-::set_coefficient(Variable v, Coefficient_traits::const_reference n) {
- PPL_ASSERT(v.space_dimension() <= space_dimension());
- dimension_type i = v.space_dimension();
- if (n == 0)
- row.reset(i);
- else
- row.insert(i, n);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline Coefficient_traits::const_reference
-Linear_Expression_Impl<Row>::inhomogeneous_term() const {
- return row.get(0);
-}
-
-template <typename Row>
-inline void
-Linear_Expression_Impl<Row>
-::set_inhomogeneous_term(Coefficient_traits::const_reference n) {
- if (n == 0)
- row.reset(0);
- else
- row.insert(0, n);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_Expression_Impl<Row>::swap_space_dimensions(Variable v1, Variable v2) {
- row.swap_coefficients(v1.space_dimension(), v2.space_dimension());
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_Expression_Impl<Row>::shift_space_dimensions(Variable v,
- dimension_type n) {
- row.add_zeroes_and_shift(n, v.space_dimension());
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline memory_size_type
-Linear_Expression_Impl<Row>::external_memory_in_bytes() const {
- return row.external_memory_in_bytes();
-}
-
-template <typename Row>
-inline memory_size_type
-Linear_Expression_Impl<Row>::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-template <typename Row>
-inline Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator+=(Coefficient_traits::const_reference n) {
- typename Row::iterator itr = row.insert(0);
- (*itr) += n;
- if (*itr == 0)
- row.reset(itr);
- PPL_ASSERT(OK());
- return *this;
-}
-
-template <typename Row>
-inline Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator-=(Coefficient_traits::const_reference n) {
- typename Row::iterator itr = row.insert(0);
- (*itr) -= n;
- if (*itr == 0)
- row.reset(itr);
- PPL_ASSERT(OK());
- return *this;
-}
-
-template <typename Row>
-inline void
-Linear_Expression_Impl<Row>::normalize() {
- row.normalize();
- PPL_ASSERT(OK());
-}
-
-template <>
-inline bool
-Linear_Expression_Impl<Sparse_Row>::is_zero() const {
- return row.num_stored_elements() == 0;
-}
-
-template <>
-inline bool
-Linear_Expression_Impl<Sparse_Row>::all_homogeneous_terms_are_zero() const {
- return row.lower_bound(1) == row.end();
-}
-
-template <>
-inline bool
-Linear_Expression_Impl<Sparse_Row>::all_zeroes(dimension_type start,
- dimension_type end) const {
- return row.lower_bound(start) == row.lower_bound(end);
-}
-
-template <>
-inline dimension_type
-Linear_Expression_Impl<Sparse_Row>::num_zeroes(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(start <= end);
- return (end - start)
- - std::distance(row.lower_bound(start), row.lower_bound(end));
-}
-
-template <>
-inline dimension_type
-Linear_Expression_Impl<Sparse_Row>::last_nonzero() const {
- if (row.num_stored_elements() == 0)
- return 0;
- Sparse_Row::const_iterator i = row.end();
- --i;
- return i.index();
-}
-
-template <>
-inline dimension_type
-Linear_Expression_Impl<Sparse_Row>
-::first_nonzero(dimension_type first, dimension_type last) const {
- PPL_ASSERT(first <= last);
- PPL_ASSERT(last <= row.size());
- Sparse_Row::const_iterator i = row.lower_bound(first);
-
- if (i != row.end() && i.index() < last)
- return i.index();
- else
- return last;
-}
-
-template <>
-inline dimension_type
-Linear_Expression_Impl<Sparse_Row>
-::last_nonzero(dimension_type first, dimension_type last) const {
- PPL_ASSERT(first <= last);
- PPL_ASSERT(last <= row.size());
- Sparse_Row::const_iterator itr1 = row.lower_bound(first);
- Sparse_Row::const_iterator itr2 = row.lower_bound(last);
-
- if (itr1 == itr2)
- return last;
-
- --itr2;
- return itr2.index();
-}
-
-template <>
-inline Representation
-Linear_Expression_Impl<Dense_Row>::representation() const {
- return DENSE;
-}
-
-template <>
-inline Representation
-Linear_Expression_Impl<Sparse_Row>::representation() const {
- return SPARSE;
-}
-
-template <>
-inline void
-Linear_Expression_Impl<Sparse_Row>::const_iterator
-::skip_zeroes_forward() {
- // Nothing to do.
-}
-
-template <>
-inline void
-Linear_Expression_Impl<Sparse_Row>::const_iterator
-::skip_zeroes_backward() {
- // Nothing to do.
-}
-
-namespace IO_Operators {
-
-template <typename Row>
-inline std::ostream&
-operator<<(std::ostream& s, const Linear_Expression_Impl<Row>& e) {
- e.print(s);
- return s;
-}
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Expression_Impl_inlines_hh)
diff --git a/src/Linear_Expression_Impl.templates.hh b/src/Linear_Expression_Impl.templates.hh
deleted file mode 100644
index 4f1da25..0000000
--- a/src/Linear_Expression_Impl.templates.hh
+++ /dev/null
@@ -1,1265 +0,0 @@
-/* Linear_Expression_Impl class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Expression_Impl_templates_hh
-#define PPL_Linear_Expression_Impl_templates_hh 1
-
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-
-#include "Constraint.defs.hh"
-#include "Generator.defs.hh"
-#include "Grid_Generator.defs.hh"
-#include "Congruence.defs.hh"
-#include <stdexcept>
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Linear_Expression_Impl& e) {
- construct(e);
-}
-
-template <typename Row>
-template <typename Row2>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Linear_Expression_Impl<Row2>& e) {
- construct(e);
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Linear_Expression_Interface& e) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
- construct(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
- construct(*p);
- } else {
- // Add implementations for other derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>
-::Linear_Expression_Impl(const Linear_Expression_Interface& e,
- dimension_type space_dim) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
- construct(*p, space_dim);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
- construct(*p, space_dim);
- } else {
- // Add implementations for other derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Congruence& cg,
- dimension_type space_dim) {
- construct(*(cg.expression().impl), space_dim);
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Impl<Row2>& y, Variable i) {
- PPL_ASSERT(space_dimension() == y.space_dimension());
- PPL_ASSERT(i.space_dimension() <= space_dimension());
- linear_combine(y, i.space_dimension());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Impl<Row2>& y, dimension_type i) {
- Linear_Expression_Impl& x = *this;
- PPL_ASSERT(i < x.space_dimension() + 1);
- PPL_ASSERT(x.space_dimension() == y.space_dimension());
- Coefficient_traits::const_reference x_i = x.row.get(i);
- Coefficient_traits::const_reference y_i = y.row.get(i);
- PPL_ASSERT(x_i != 0);
- PPL_ASSERT(y_i != 0);
- PPL_DIRTY_TEMP_COEFFICIENT(normalized_x_v);
- PPL_DIRTY_TEMP_COEFFICIENT(normalized_y_v);
- normalize2(x_i, y_i, normalized_x_v, normalized_y_v);
- neg_assign(normalized_x_v);
- linear_combine(y, normalized_y_v, normalized_x_v);
- // We cannot use x_i here because it may have been invalidated by
- // linear_combine().
- assert(x.row.get(i) == 0);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) {
- PPL_ASSERT(c1 != 0);
- PPL_ASSERT(c2 != 0);
- if (space_dimension() < y.space_dimension())
- set_space_dimension(y.space_dimension());
- linear_combine(y, c1, c2, 0, y.space_dimension() + 1);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) {
- if (space_dimension() < y.space_dimension())
- set_space_dimension(y.space_dimension());
- linear_combine_lax(y, c1, c2, 0, y.space_dimension() + 1);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-int
-Linear_Expression_Impl<Row>::compare(const Linear_Expression_Impl<Row2>& y) const {
- const Linear_Expression_Impl& x = *this;
- // Compare all the coefficients of the row starting from position 1.
- // NOTE: x and y may be of different size.
- typename Row::const_iterator i = x.row.lower_bound(1);
- typename Row::const_iterator i_end = x.row.end();
- typename Row2::const_iterator j = y.row.lower_bound(1);
- typename Row2::const_iterator j_end = y.row.end();
- while (i != i_end && j != j_end) {
- if (i.index() < j.index()) {
- int s = sgn(*i);
- if (s != 0)
- return 2*s;
- ++i;
- continue;
- }
- if (i.index() > j.index()) {
- int s = sgn(*j);
- if (s != 0)
- return -2*s;
- ++j;
- continue;
- }
- PPL_ASSERT(i.index() == j.index());
- int s = cmp(*i, *j);
- if (s < 0)
- return -2;
- if (s > 0)
- return 2;
- PPL_ASSERT(s == 0);
- ++i;
- ++j;
- }
- for ( ; i != i_end; ++i) {
- int s = sgn(*i);
- if (s != 0)
- return 2*s;
- }
- for ( ; j != j_end; ++j) {
- int s = sgn(*j);
- if (s != 0)
- return -2*s;
- }
-
- // If all the coefficients in `x' equal all the coefficients in `y'
- // (starting from position 1) we compare coefficients in position 0,
- // i.e., inhomogeneous terms.
- const int comp = cmp(x.row.get(0), y.row.get(0));
- if (comp > 0)
- return 1;
- if (comp < 0)
- return -1;
- PPL_ASSERT(comp == 0);
-
- // `x' and `y' are equal.
- return 0;
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Variable v) {
- if (v.space_dimension() > max_space_dimension())
- throw std::length_error("Linear_Expression_Impl::"
- "Linear_Expression_Impl(v):\n"
- "v exceeds the maximum allowed "
- "space dimension.");
- set_space_dimension(v.space_dimension());
- (*this) += v;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-bool
-Linear_Expression_Impl<Row>
-::is_equal_to(const Linear_Expression_Impl<Row2>& x) const {
- return row == x.row;
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::get_row(Dense_Row& row) const {
- row = this->row;
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::get_row(Sparse_Row& row) const {
- row = this->row;
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::permute_space_dimensions(const std::vector<Variable>& cycle) {
- const dimension_type n = cycle.size();
- if (n < 2)
- return;
-
- if (n == 2) {
- row.swap_coefficients(cycle[0].space_dimension(),
- cycle[1].space_dimension());
- }
- else {
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
- tmp = row.get(cycle.back().space_dimension());
- for (dimension_type i = n - 1; i-- > 0; )
- row.swap_coefficients(cycle[i + 1].space_dimension(),
- cycle[i].space_dimension());
- if (tmp == 0)
- row.reset(cycle[0].space_dimension());
- else {
- using std::swap;
- swap(tmp, row[cycle[0].space_dimension()]);
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator+=(const Linear_Expression_Impl<Row2>& e) {
- linear_combine(e, Coefficient_one(), Coefficient_one());
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator+=(const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
- throw std::length_error("Linear_Expression_Impl& "
- "operator+=(e, v):\n"
- "v exceeds the maximum allowed space dimension.");
- if (space_dimension() < v_space_dim)
- set_space_dimension(v_space_dim);
- typename Row::iterator itr = row.insert(v_space_dim);
- ++(*itr);
- if (*itr == 0)
- row.reset(itr);
- PPL_ASSERT(OK());
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-template <typename Row2>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator-=(const Linear_Expression_Impl<Row2>& e2) {
- linear_combine(e2, Coefficient_one(), -1);
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator-=(const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
- throw std::length_error("Linear_Expression_Impl& "
- "operator-=(e, v):\n"
- "v exceeds the maximum allowed space dimension.");
- if (space_dimension() < v_space_dim)
- set_space_dimension(v_space_dim);
- typename Row::iterator itr = row.insert(v_space_dim);
- --(*itr);
- if (*itr == 0)
- row.reset(itr);
- PPL_ASSERT(OK());
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator*=(Coefficient_traits::const_reference n) {
- if (n == 0) {
- row.clear();
- PPL_ASSERT(OK());
- return *this;
- }
- for (typename Row::iterator i = row.begin(), i_end = row.end(); i != i_end; ++i)
- (*i) *= n;
- PPL_ASSERT(OK());
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::operator/=(Coefficient_traits::const_reference n) {
- typename Row::iterator i = row.begin();
- const typename Row::iterator& i_end = row.end();
- while (i != i_end) {
- (*i) /= n;
- if (*i == 0)
- i = row.reset(i);
- else
- ++i;
- }
- PPL_ASSERT(OK());
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::negate() {
- for (typename Row::iterator i = row.begin(), i_end = row.end(); i != i_end; ++i)
- neg_assign(*i);
- PPL_ASSERT(OK());
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>::add_mul_assign(Coefficient_traits::const_reference n,
- const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
- throw std::length_error("Linear_Expression_Impl& "
- "add_mul_assign(e, n, v):\n"
- "v exceeds the maximum allowed space dimension.");
- if (space_dimension() < v_space_dim)
- set_space_dimension(v_space_dim);
- if (n == 0)
- return *this;
- typename Row::iterator itr = row.insert(v_space_dim);
- (*itr) += n;
- if (*itr == 0)
- row.reset(itr);
- PPL_ASSERT(OK());
- return *this;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>
-::sub_mul_assign(Coefficient_traits::const_reference n,
- const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
- throw std::length_error("Linear_Expression_Impl& "
- "sub_mul_assign(e, n, v):\n"
- "v exceeds the maximum allowed space dimension.");
- if (space_dimension() < v_space_dim)
- set_space_dimension(v_space_dim);
- if (n == 0)
- return *this;
- typename Row::iterator itr = row.insert(v_space_dim);
- (*itr) -= n;
- if (*itr == 0)
- row.reset(itr);
- PPL_ASSERT(OK());
- return *this;
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::add_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Impl<Row2>& y) {
- if (factor != 0)
- linear_combine(y, Coefficient_one(), factor);
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::sub_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Impl<Row2>& y) {
- if (factor != 0)
- linear_combine(y, Coefficient_one(), -factor);
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::print(std::ostream& s) const {
- PPL_DIRTY_TEMP_COEFFICIENT(ev);
- bool first = true;
- for (typename Row::const_iterator i = row.lower_bound(1), i_end = row.end();
- i != i_end; ++i) {
- ev = *i;
- if (ev == 0)
- continue;
- if (!first) {
- if (ev > 0)
- s << " + ";
- else {
- s << " - ";
- neg_assign(ev);
- }
- }
- else
- first = false;
- if (ev == -1)
- s << "-";
- else if (ev != 1)
- s << ev << "*";
- IO_Operators::operator<<(s, Variable(i.index() - 1));
- }
- // Inhomogeneous term.
- PPL_DIRTY_TEMP_COEFFICIENT(it);
- it = row[0];
- if (it != 0) {
- if (!first) {
- if (it > 0)
- s << " + ";
- else {
- s << " - ";
- neg_assign(it);
- }
- }
- else
- first = false;
- s << it;
- }
-
- if (first)
- // The null linear expression.
- s << Coefficient_zero();
-}
-
-template <typename Row>
-Coefficient_traits::const_reference
-Linear_Expression_Impl<Row>::get(dimension_type i) const {
- return row.get(i);
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::set(dimension_type i, Coefficient_traits::const_reference n) {
- if (n == 0)
- row.reset(i);
- else
- row.insert(i, n);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::exact_div_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end) {
- // NOTE: Since all coefficients in [start,end) are multiple of c,
- // each of the resulting coefficients will be nonzero iff the initial
- // coefficient was.
- for (typename Row::iterator
- i = row.lower_bound(start), i_end = row.lower_bound(end); i != i_end; ++i)
- Parma_Polyhedra_Library::exact_div_assign(*i, *i, c);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::mul_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end) {
- if (c == 0) {
- typename Row::iterator i = row.lower_bound(start);
- const typename Row::iterator& i_end = row.end();
- while (i != i_end && i.index() < end)
- i = row.reset(i);
- } else {
- for (typename Row::iterator
- i = row.lower_bound(start), i_end = row.lower_bound(end); i != i_end; ++i)
- (*i) *= c;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) {
- Parma_Polyhedra_Library::linear_combine(row, y.row, c1, c2, start, end);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) {
- PPL_ASSERT(start <= end);
- PPL_ASSERT(end <= row.size());
- PPL_ASSERT(end <= y.row.size());
- if (c1 == 0) {
- if (c2 == 0) {
- PPL_ASSERT(c1 == 0);
- PPL_ASSERT(c2 == 0);
- typename Row::iterator i = row.lower_bound(start);
- const typename Row::iterator& i_end = row.end();
- while (i != i_end && i.index() < end)
- i = row.reset(i);
- } else {
- PPL_ASSERT(c1 == 0);
- PPL_ASSERT(c2 != 0);
-
- typename Row::iterator i = row.lower_bound(start);
- const typename Row::iterator& i_end = row.end();
- typename Row2::const_iterator j = y.row.lower_bound(start);
- typename Row2::const_iterator j_last = y.row.lower_bound(end);
-
- while (i != i_end && i.index() < end && j != j_last) {
- if (i.index() < j.index()) {
- i = row.reset(i);
- continue;
- }
- if (i.index() > j.index()) {
- i = row.insert(i, j.index(), *j);
- (*i) *= c2;
- ++i;
- ++j;
- continue;
- }
- PPL_ASSERT(i.index() == j.index());
- (*i) = (*j);
- (*i) *= c2;
- ++i;
- ++j;
- }
- while (i != i_end && i.index() < end)
- i = row.reset(i);
- while (j != j_last) {
- i = row.insert(i, j.index(), *j);
- (*i) *= c2;
- // No need to increment i here.
- ++j;
- }
- }
- } else {
- if (c2 == 0) {
- PPL_ASSERT(c1 != 0);
- PPL_ASSERT(c2 == 0);
- for (typename Row::iterator i = row.lower_bound(start),
- i_end = row.lower_bound(end);
- i != i_end; ++i)
- (*i) *= c1;
- } else {
- PPL_ASSERT(c1 != 0);
- PPL_ASSERT(c2 != 0);
- Parma_Polyhedra_Library::linear_combine(row, y.row, c1, c2, start, end);
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::sign_normalize() {
- typename Row::iterator i = row.lower_bound(1);
- typename Row::iterator i_end = row.end();
-
- for ( ; i != i_end; ++i)
- if (*i != 0)
- break;
-
- if (i != i_end && *i < 0) {
- for ( ; i != i_end; ++i)
- neg_assign(*i);
- // Negate the first coefficient, too.
- typename Row::iterator i = row.begin();
- if (i != row.end() && i.index() == 0)
- neg_assign(*i);
- }
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::negate(dimension_type first, dimension_type last) {
- PPL_ASSERT(first <= last);
- PPL_ASSERT(last <= row.size());
- typename Row::iterator i = row.lower_bound(first);
- typename Row::iterator i_end = row.lower_bound(last);
- for ( ; i != i_end; ++i)
- neg_assign(*i);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>::construct(const Linear_Expression_Impl<Row2>& e) {
- row = e.row;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>::construct(const Linear_Expression_Impl<Row2>& e,
- dimension_type space_dim) {
- Row x(e.row, space_dim + 1, space_dim + 1);
- swap(row, x);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-template <typename Row2>
-void
-Linear_Expression_Impl<Row>
-::scalar_product_assign(Coefficient& result, const Linear_Expression_Impl<Row2>& y,
- dimension_type start, dimension_type end) const {
- const Linear_Expression_Impl<Row>& x = *this;
- PPL_ASSERT(start <= end);
- PPL_ASSERT(end <= x.row.size());
- PPL_ASSERT(end <= y.row.size());
- result = 0;
- typename Row ::const_iterator x_i = x.row.lower_bound(start);
- typename Row ::const_iterator x_end = x.row.lower_bound(end);
- typename Row2::const_iterator y_i = y.row.lower_bound(start);
- typename Row2::const_iterator y_end = y.row.lower_bound(end);
- while (x_i != x_end && y_i != y_end) {
- if (x_i.index() == y_i.index()) {
- Parma_Polyhedra_Library::add_mul_assign(result, *x_i, *y_i);
- ++x_i;
- ++y_i;
- } else {
- if (x_i.index() < y_i.index()) {
- PPL_ASSERT(y.row.get(x_i.index()) == 0);
- // (*x_i) * 0 == 0, nothing to do.
- ++x_i;
- } else {
- PPL_ASSERT(x.row.get(y_i.index()) == 0);
- // 0 * (*y_i) == 0, nothing to do.
- ++y_i;
- }
- }
- }
- // In the remaining positions (if any) at most one row is nonzero, so
- // there's nothing left to do.
-}
-
-template <typename Row>
-template <typename Row2>
-int
-Linear_Expression_Impl<Row>
-::scalar_product_sign(const Linear_Expression_Impl<Row2>& y,
- dimension_type start, dimension_type end) const {
- PPL_DIRTY_TEMP_COEFFICIENT(result);
- scalar_product_assign(result, y, start, end);
- return sgn(result);
-}
-
-template <typename Row>
-template <typename Row2>
-bool
-Linear_Expression_Impl<Row>
-::is_equal_to(const Linear_Expression_Impl<Row2>& y,
- dimension_type start, dimension_type end) const {
- const Linear_Expression_Impl<Row>& x = *this;
- PPL_ASSERT(start <= end);
- PPL_ASSERT(end <= x.row.size());
- PPL_ASSERT(end <= y.row.size());
-
- typename Row::const_iterator i = x.row.lower_bound(start);
- typename Row::const_iterator i_end = x.row.lower_bound(end);
- typename Row2::const_iterator j = y.row.lower_bound(start);
- typename Row2::const_iterator j_end = y.row.lower_bound(end);
- while (i != i_end && j != j_end) {
- if (i.index() == j.index()) {
- if (*i != *j)
- return false;
- ++i;
- ++j;
- } else {
- if (i.index() < j.index()) {
- if (*i != 0)
- return false;
- ++i;
- } else {
- PPL_ASSERT(i.index() > j.index());
- if (*j != 0)
- return false;
- ++j;
- }
- }
- }
- for ( ; i != i_end; ++i)
- if (*i != 0)
- return false;
- for ( ; j != j_end; ++j)
- if (*j != 0)
- return false;
- return true;
-}
-
-template <typename Row>
-template <typename Row2>
-bool
-Linear_Expression_Impl<Row>
-::is_equal_to(const Linear_Expression_Impl<Row2>& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- const Linear_Expression_Impl<Row>& x = *this;
- PPL_ASSERT(start <= end);
- PPL_ASSERT(end <= x.row.size());
- PPL_ASSERT(end <= y.row.size());
-
- // Deal with trivial cases.
- if (c1 == 0) {
- if (c2 == 0)
- return true;
- else
- return y.all_zeroes(start, end);
- }
- if (c2 == 0)
- return x.all_zeroes(start, end);
-
- PPL_ASSERT(c1 != 0);
- PPL_ASSERT(c2 != 0);
- typename Row::const_iterator i = x.row.lower_bound(start);
- typename Row::const_iterator i_end = x.row.lower_bound(end);
- typename Row2::const_iterator j = y.row.lower_bound(start);
- typename Row2::const_iterator j_end = y.row.lower_bound(end);
- while (i != i_end && j != j_end) {
- if (i.index() == j.index()) {
- if ((*i) * c1 != (*j) * c2)
- return false;
- ++i;
- ++j;
- } else {
- if (i.index() < j.index()) {
- if (*i != 0)
- return false;
- ++i;
- } else {
- PPL_ASSERT(i.index() > j.index());
- if (*j != 0)
- return false;
- ++j;
- }
- }
- }
- for ( ; i != i_end; ++i)
- if (*i != 0)
- return false;
- for ( ; j != j_end; ++j)
- if (*j != 0)
- return false;
- return true;
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Interface& y, Variable v) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- linear_combine(*p, v);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- linear_combine(*p, v);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- linear_combine(*p, c1, c2);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- linear_combine(*p, c1, c2);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::linear_combine_lax(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- linear_combine_lax(*p, c1, c2);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- linear_combine_lax(*p, c1, c2);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>
-::is_equal_to(const Linear_Expression_Interface& y) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return is_equal_to(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return is_equal_to(*p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return false;
- }
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>
-::operator+=(const Linear_Expression_Interface& y) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return operator+=(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return operator+=(*p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return *this;
- }
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>&
-Linear_Expression_Impl<Row>
-::operator-=(const Linear_Expression_Interface& y) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return operator-=(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return operator-=(*p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return *this;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::add_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Interface& y) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- add_mul_assign(factor, *p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- add_mul_assign(factor, *p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::sub_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Interface& y) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- sub_mul_assign(factor, *p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- sub_mul_assign(factor, *p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Interface& y, dimension_type i) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- linear_combine(*p, i);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- linear_combine(*p, i);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::linear_combine(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- linear_combine(*p, c1, c2, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- linear_combine(*p, c1, c2, start, end);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::linear_combine_lax(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- linear_combine_lax(*p, c1, c2, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- linear_combine_lax(*p, c1, c2, start, end);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-int
-Linear_Expression_Impl<Row>
-::compare(const Linear_Expression_Interface& y) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return compare(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return compare(*p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return 0;
- }
-}
-
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::construct(const Linear_Expression_Interface& y) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return construct(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return construct(*p);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::construct(const Linear_Expression_Interface& y,
- dimension_type space_dim) {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return construct(*p, space_dim);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return construct(*p, space_dim);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>
-::scalar_product_assign(Coefficient& result,
- const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- scalar_product_assign(result, *p, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- scalar_product_assign(result, *p, start, end);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- }
-}
-
-template <typename Row>
-int
-Linear_Expression_Impl<Row>
-::scalar_product_sign(const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return scalar_product_sign(*p, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return scalar_product_sign(*p, start, end);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return 0;
- }
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>
-::is_equal_to(const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return is_equal_to(*p, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return is_equal_to(*p, start, end);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return false;
- }
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>
-::is_equal_to(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return is_equal_to(*p, c1, c2, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return is_equal_to(*p, c1, c2, start, end);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return false;
- }
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>
-::have_a_common_variable(const Linear_Expression_Interface& y,
- Variable first, Variable last) const {
- typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
- typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
- return have_a_common_variable(*p, first, last);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
- return have_a_common_variable(*p, first, last);
- } else {
- // Add implementations for new derived classes here.
- PPL_UNREACHABLE;
- return false;
- }
-}
-
-template <typename Row>
-Linear_Expression_Interface::const_iterator_interface*
-Linear_Expression_Impl<Row>::begin() const {
- return new const_iterator(row, 1);
-}
-
-template <typename Row>
-Linear_Expression_Interface::const_iterator_interface*
-Linear_Expression_Impl<Row>::end() const {
- return new const_iterator(row, row.size());
-}
-
-template <typename Row>
-Linear_Expression_Interface::const_iterator_interface*
-Linear_Expression_Impl<Row>::lower_bound(Variable v) const {
- return new const_iterator(row, v.space_dimension());
-}
-
-template <typename Row>
-Linear_Expression_Impl<Row>::const_iterator
-::const_iterator(const Row& row1, dimension_type i)
- : row(&row1), itr(row1.lower_bound(i)) {
- skip_zeroes_forward();
-}
-
-template <typename Row>
-Linear_Expression_Interface::const_iterator_interface*
-Linear_Expression_Impl<Row>::const_iterator
-::clone() const {
- return new const_iterator(*this);
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::const_iterator
-::operator++() {
- ++itr;
- skip_zeroes_forward();
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::const_iterator
-::operator--() {
- --itr;
- skip_zeroes_backward();
-}
-
-template <typename Row>
-typename Linear_Expression_Impl<Row>::const_iterator::reference
-Linear_Expression_Impl<Row>::const_iterator
-::operator*() const {
- return *itr;
-}
-
-template <typename Row>
-Variable
-Linear_Expression_Impl<Row>::const_iterator
-::variable() const {
- const dimension_type i = itr.index();
- PPL_ASSERT(i != 0);
- return Variable(i - 1);
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>::const_iterator
-::operator==(const const_iterator_interface& x) const {
- const const_iterator* p
- = dynamic_cast<const const_iterator*>(&x);
- // Comparing iterators belonging to different rows is forbidden.
- PPL_ASSERT(p != 0);
- PPL_ASSERT(row == p->row);
- return itr == p->itr;
-}
-
-template <typename Row>
-void
-Linear_Expression_Impl<Row>::ascii_dump(std::ostream& s) const {
- s << "size " << (space_dimension() + 1) << " ";
- for (dimension_type i = 0; i < row.size(); ++i) {
- s << row.get(i);
- if (i != row.size() - 1)
- s << ' ';
- }
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>::ascii_load(std::istream& s) {
- std::string str;
-
- if (!(s >> str))
- return false;
- if (str != "size")
- return false;
-
- dimension_type new_size;
- if (!(s >> new_size))
- return false;
-
- row.resize(0);
- row.resize(new_size);
-
- PPL_DIRTY_TEMP_COEFFICIENT(c);
-
- for (dimension_type j = 0; j < new_size; ++j) {
- if (!(s >> c))
- return false;
- if (c != 0)
- row.insert(j, c);
- }
-
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename Row>
-bool
-Linear_Expression_Impl<Row>::OK() const {
- return row.OK();
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Expression_Impl_templates_hh)
diff --git a/src/Linear_Expression_Impl.types.hh b/src/Linear_Expression_Impl.types.hh
deleted file mode 100644
index eac0f7a..0000000
--- a/src/Linear_Expression_Impl.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Linear_Expression_Impl_types_hh
-#define PPL_Linear_Expression_Impl_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-class Linear_Expression_Impl;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Expression_Impl_types_hh)
diff --git a/src/Linear_Expression_Impl_defs.hh b/src/Linear_Expression_Impl_defs.hh
new file mode 100644
index 0000000..b5b0bb0
--- /dev/null
+++ b/src/Linear_Expression_Impl_defs.hh
@@ -0,0 +1,906 @@
+/* Linear_Expression_Impl class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Expression_Impl_defs_hh
+#define PPL_Linear_Expression_Impl_defs_hh 1
+
+#include "Linear_Expression_Impl_types.hh"
+#include "Coefficient_defs.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+#include <cstddef>
+#include "Linear_Expression_Interface_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+std::ostream&
+operator<<(std::ostream& s, const Linear_Expression_Impl<Row>& e);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A linear expression.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Linear_Expression_Impl represents the linear
+ expression
+ \f[
+ \sum_{i=0}^{n-1} a_i x_i + b
+ \f]
+ where \f$n\f$ is the dimension of the vector space,
+ each \f$a_i\f$ is the integer coefficient
+ of the \f$i\f$-th variable \f$x_i\f$
+ and \f$b\f$ is the integer for the inhomogeneous term.
+
+ \par How to build a linear expression.
+
+ Linear expressions are the basic blocks for defining
+ both constraints (i.e., linear equalities or inequalities)
+ and generators (i.e., lines, rays, points and closure points).
+ A full set of functions is defined to provide a convenient interface
+ for building complex linear expressions starting from simpler ones
+ and from objects of the classes Variable and Coefficient:
+ available operators include unary negation,
+ binary addition and subtraction,
+ as well as multiplication by a Coefficient.
+ The space dimension of a linear expression is defined as the maximum
+ space dimension of the arguments used to build it:
+ in particular, the space dimension of a Variable <CODE>x</CODE>
+ is defined as <CODE>x.id()+1</CODE>,
+ whereas all the objects of the class Coefficient have space dimension zero.
+
+ \par Example
+ The following code builds the linear expression \f$4x - 2y - z + 14\f$,
+ having space dimension \f$3\f$:
+ \code
+ Linear_Expression_Impl e = 4*x - 2*y - z + 14;
+ \endcode
+ Another way to build the same linear expression is:
+ \code
+ Linear_Expression_Impl e1 = 4*x;
+ Linear_Expression_Impl e2 = 2*y;
+ Linear_Expression_Impl e3 = z;
+ Linear_Expression_Impl e = Linear_Expression_Impl(14);
+ e += e1 - e2 - e3;
+ \endcode
+ Note that \p e1, \p e2 and \p e3 have space dimension 1, 2 and 3,
+ respectively; also, in the fourth line of code, \p e is created
+ with space dimension zero and then extended to space dimension 3
+ in the fifth line.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+class Parma_Polyhedra_Library::Linear_Expression_Impl
+ : public Linear_Expression_Interface {
+public:
+ //! Default constructor: returns a copy of Linear_Expression_Impl::zero().
+ Linear_Expression_Impl();
+
+ //! Ordinary copy constructor.
+ Linear_Expression_Impl(const Linear_Expression_Impl& e);
+
+ //! Copy constructor for other row types.
+ template <typename Row2>
+ Linear_Expression_Impl(const Linear_Expression_Impl<Row2>& e);
+
+ //! Copy constructor from any implementation of Linear_Expression_Interface.
+ Linear_Expression_Impl(const Linear_Expression_Interface& e);
+
+ //! Destructor.
+ virtual ~Linear_Expression_Impl();
+
+ //! Checks if all the invariants are satisfied.
+ virtual bool OK() const;
+
+ /*! \brief
+ Builds the linear expression corresponding
+ to the inhomogeneous term \p n.
+ */
+ explicit Linear_Expression_Impl(Coefficient_traits::const_reference n);
+
+ //! Builds the linear expression corresponding to the variable \p v.
+ /*!
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Expression_Impl::max_space_dimension()</CODE>.
+ */
+ Linear_Expression_Impl(Variable v);
+
+ //! Returns the current representation of this linear expression.
+ virtual Representation representation() const;
+
+ //! An interface for const iterators on the expression (homogeneous)
+ //! coefficients that are nonzero.
+ /*!
+ These iterators are invalidated by operations that modify the expression.
+ */
+ class const_iterator: public const_iterator_interface {
+ public:
+ explicit const_iterator(const Row& row, dimension_type i);
+
+ //! Returns a copy of *this.
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ virtual const_iterator_interface* clone() const;
+
+ //! Navigates to the next nonzero coefficient.
+ //! Note that this method does *not* return a reference, to increase
+ //! efficiency since it's virtual.
+ virtual void operator++();
+
+ //! Navigates to the previous nonzero coefficient.
+ //! Note that this method does *not* return a reference, to increase
+ //! efficiency since it's virtual.
+ virtual void operator--();
+
+ //! Returns the current element.
+ virtual reference operator*() const;
+
+ //! Returns the variable of the coefficient pointed to by \c *this.
+ /*!
+ \returns the variable of the coefficient pointed to by \c *this.
+ */
+ virtual Variable variable() const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ virtual bool operator==(const const_iterator_interface& x) const;
+
+ private:
+
+ void skip_zeroes_forward();
+ void skip_zeroes_backward();
+
+ const Row* row;
+ typename Row::const_iterator itr;
+ };
+
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ virtual const_iterator_interface* begin() const;
+
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ virtual const_iterator_interface* end() const;
+
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ //! Returns (a pointer to) an iterator that points to the first nonzero
+ //! coefficient of a variable greater than or equal to v, or at end if no
+ //! such coefficient exists.
+ virtual const_iterator_interface* lower_bound(Variable v) const;
+
+ //! Returns the maximum space dimension a Linear_Expression_Impl can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ virtual dimension_type space_dimension() const;
+
+ //! Sets the dimension of the vector space enclosing \p *this to \p n .
+ virtual void set_space_dimension(dimension_type n);
+
+ //! Returns the coefficient of \p v in \p *this.
+ virtual Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Sets the coefficient of \p v in \p *this to \p n.
+ virtual void set_coefficient(Variable v,
+ Coefficient_traits::const_reference n);
+
+ //! Returns the inhomogeneous term of \p *this.
+ virtual Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Sets the inhomogeneous term of \p *this to \p n.
+ virtual void set_inhomogeneous_term(Coefficient_traits::const_reference n);
+
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param v
+ The variable whose coefficient has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the coefficient of variable \p v equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ virtual void linear_combine(const Linear_Expression_Interface& y, Variable v);
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
+ //! \p *this and \p y have the same space dimension.
+ virtual void linear_combine(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2);
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
+ //! c1 and c2 may be 0.
+ virtual void linear_combine_lax(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ virtual void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Removes all the specified dimensions from the expression.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ virtual void remove_space_dimensions(const Variables_Set& vars);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ virtual void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Permutes the space dimensions of the expression.
+ /*!
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ virtual void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
+ virtual bool is_zero() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are \f$0\f$.
+ */
+ virtual bool all_homogeneous_terms_are_zero() const;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ virtual memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ virtual memory_size_type external_memory_in_bytes() const;
+
+ //! Writes to \p s an ASCII representation of \p *this.
+ virtual void ascii_dump(std::ostream& s) const;
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ virtual bool ascii_load(std::istream& s);
+
+ //! Copy constructor with a specified space dimension.
+ Linear_Expression_Impl(const Linear_Expression_Interface& e,
+ dimension_type space_dim);
+
+ //! Returns \p true if *this is equal to \p x.
+ //! Note that (*this == x) has a completely different meaning.
+ virtual bool is_equal_to(const Linear_Expression_Interface& x) const;
+
+ //! Normalizes the modulo of the coefficients and of the inhomogeneous term
+ //! so that they are mutually prime.
+ /*!
+ Computes the Greatest Common Divisor (GCD) among the coefficients
+ and the inhomogeneous term and normalizes them by the GCD itself.
+ */
+ virtual void normalize();
+
+ //! Ensures that the first nonzero homogeneous coefficient is positive,
+ //! by negating the row if necessary.
+ virtual void sign_normalize();
+
+ /*! \brief
+ Negates the elements from index \p first (included)
+ to index \p last (excluded).
+ */
+ virtual void negate(dimension_type first, dimension_type last);
+
+ virtual Linear_Expression_Impl&
+ operator+=(Coefficient_traits::const_reference n);
+ virtual Linear_Expression_Impl&
+ operator-=(Coefficient_traits::const_reference n);
+
+ //! The basic comparison function.
+ /*! \relates Linear_Expression_Impl
+
+ \returns
+ -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
+ is greater. The absolute value of the result is 1 if the difference
+ is only in the inhomogeneous terms, 2 otherwise.
+
+ The order is a lexicographic. It starts comparing the variables'
+ coefficient, starting from Variable(0), and at the end it compares
+ the inhomogeneous terms.
+ */
+ virtual int compare(const Linear_Expression_Interface& y) const;
+
+ virtual Linear_Expression_Impl&
+ operator+=(const Linear_Expression_Interface& e2);
+ virtual Linear_Expression_Impl& operator+=(const Variable v);
+ virtual Linear_Expression_Impl&
+ operator-=(const Linear_Expression_Interface& e2);
+ virtual Linear_Expression_Impl& operator-=(const Variable v);
+ virtual Linear_Expression_Impl&
+ operator*=(Coefficient_traits::const_reference n);
+ virtual Linear_Expression_Impl&
+ operator/=(Coefficient_traits::const_reference n);
+
+ virtual void negate();
+
+ virtual Linear_Expression_Impl&
+ add_mul_assign(Coefficient_traits::const_reference n, const Variable v);
+
+ virtual Linear_Expression_Impl&
+ sub_mul_assign(Coefficient_traits::const_reference n, const Variable v);
+
+ virtual void add_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Interface& e2);
+
+ virtual void sub_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Interface& e2);
+
+ virtual void print(std::ostream& s) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars[i] is \f$0\f$.
+ */
+ virtual bool all_zeroes(const Variables_Set& vars) const;
+
+ //! Returns true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both *this and x.
+ virtual bool have_a_common_variable(const Linear_Expression_Interface& x,
+ Variable first, Variable last) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the i-th coefficient.
+ virtual Coefficient_traits::const_reference get(dimension_type i) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets the i-th coefficient to n.
+ virtual void set(dimension_type i, Coefficient_traits::const_reference n);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
+ [start, end).
+ */
+ virtual bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns the number of zero coefficient in [start, end).
+ */
+ virtual dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end). If all the
+ coefficients in this range are 0 returns 0.
+ */
+ virtual Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ virtual void exact_div_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Equivalent to <CODE>(*this)[i] *= n</CODE>, for each i in [start, end).
+ virtual void mul_assign(Coefficient_traits::const_reference n,
+ dimension_type start, dimension_type end);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ virtual void
+ linear_combine(const Linear_Expression_Interface& y, dimension_type i);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end).
+ virtual void linear_combine(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end). c1 and c2 may be zero.
+ virtual void linear_combine_lax(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the index of the last nonzero element, or 0 if there are no
+ //! nonzero elements.
+ virtual dimension_type last_nonzero() const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
+ \f$0\f$, disregarding coefficients of variables in \p vars.
+ */
+ virtual bool
+ all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
+ virtual void
+ scalar_product_assign(Coefficient& result,
+ const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Computes the sign of the sum of (*this)[i]*y[i], for each i in [start,end).
+ virtual int
+ scalar_product_sign(const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the index of the first nonzero element, or \p last if there are no
+ //! nonzero elements, considering only elements in [first,last).
+ virtual dimension_type
+ first_nonzero(dimension_type first, dimension_type last) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the index of the last nonzero element in [first,last), or last
+ //! if there are no nonzero elements.
+ virtual dimension_type
+ last_nonzero(dimension_type first, dimension_type last) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Removes from the set x all the indexes of nonzero elements of *this.
+ virtual void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
+ virtual bool is_equal_to(const Linear_Expression_Interface& x,
+ dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
+ //! [start,end).
+ virtual bool is_equal_to(const Linear_Expression_Interface& x,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets `row' to a copy of the row that implements *this.
+ virtual void get_row(Dense_Row& row) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets `row' to a copy of the row that implements *this.
+ virtual void get_row(Sparse_Row& row) const;
+
+ //! Implementation sizing constructor.
+ /*!
+ The bool parameter is just to avoid problems with the constructor
+ Linear_Expression_Impl(Coefficient_traits::const_reference n).
+ */
+ Linear_Expression_Impl(dimension_type space_dim, bool);
+
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param v
+ The variable whose coefficient has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the coefficient of variable \p v equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ template <typename Row2>
+ void linear_combine(const Linear_Expression_Impl<Row2>& y, Variable v);
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
+ //! \p *this and \p y have the same space dimension.
+ template <typename Row2>
+ void linear_combine(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2);
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
+ //! c1 and c2 may be 0.
+ template <typename Row2>
+ void linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2);
+
+ //! Returns \p true if *this is equal to \p x.
+ //! Note that (*this == x) has a completely different meaning.
+ template <typename Row2>
+ bool is_equal_to(const Linear_Expression_Impl<Row2>& x) const;
+
+ template <typename Row2>
+ Linear_Expression_Impl& operator+=(const Linear_Expression_Impl<Row2>& e2);
+ template <typename Row2>
+ Linear_Expression_Impl& operator-=(const Linear_Expression_Impl<Row2>& e2);
+
+ template <typename Row2>
+ Linear_Expression_Impl&
+ sub_mul_assign(Coefficient_traits::const_reference n,
+ const Linear_Expression_Impl<Row2>& y,
+ dimension_type start, dimension_type end);
+
+ template <typename Row2>
+ void add_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Impl<Row2>& e2);
+
+ template <typename Row2>
+ void sub_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Impl<Row2>& e2);
+
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ template <typename Row2>
+ void linear_combine(const Linear_Expression_Impl<Row2>& y, dimension_type i);
+
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end).
+ template <typename Row2>
+ void linear_combine(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end). c1 and c2 may be zero.
+ template <typename Row2>
+ void linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ //! The basic comparison function.
+ /*! \relates Linear_Expression_Impl
+
+ \returns
+ -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
+ is greater. The absolute value of the result is 1 if the difference
+ is only in the inhomogeneous terms, 2 otherwise.
+
+ The order is a lexicographic. It starts comparing the variables'
+ coefficient, starting from Variable(0), and at the end it compares
+ the inhomogeneous terms.
+ */
+ template <typename Row2>
+ int compare(const Linear_Expression_Impl<Row2>& y) const;
+
+ //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
+ template <typename Row2>
+ void
+ scalar_product_assign(Coefficient& result,
+ const Linear_Expression_Impl<Row2>& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Computes the sign of the sum of (*this)[i]*y[i],
+ //! for each i in [start,end).
+ template <typename Row2>
+ int scalar_product_sign(const Linear_Expression_Impl<Row2>& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
+ template <typename Row2>
+ bool is_equal_to(const Linear_Expression_Impl<Row2>& x,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
+ //! [start,end).
+ template <typename Row2>
+ bool is_equal_to(const Linear_Expression_Impl<Row2>& x,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both *this and x.
+ template <typename Row2>
+ bool have_a_common_variable(const Linear_Expression_Impl<Row2>& x,
+ Variable first, Variable last) const;
+
+private:
+
+ void construct(const Linear_Expression_Interface& e);
+ void construct(const Linear_Expression_Interface& e,
+ dimension_type space_dim);
+
+ template <typename Row2>
+ void construct(const Linear_Expression_Impl<Row2>& e);
+ template <typename Row2>
+ void construct(const Linear_Expression_Impl<Row2>& e,
+ dimension_type space_dim);
+
+ Row row;
+
+ template <typename Row2>
+ friend class Linear_Expression_Impl;
+
+}; // class Parma_Polyhedra_Library::Linear_Expression_Impl
+
+
+namespace Parma_Polyhedra_Library {
+
+// NOTE: declaring explicit specializations.
+
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>::OK() const;
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>::OK() const;
+
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>::all_homogeneous_terms_are_zero() const;
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>::all_homogeneous_terms_are_zero() const;
+
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>::all_zeroes(dimension_type start,
+ dimension_type end) const;
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>::all_zeroes(dimension_type start,
+ dimension_type end) const;
+
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>
+::all_zeroes(const Variables_Set& vars) const;
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>
+::all_zeroes(const Variables_Set& vars) const;
+
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+template <>
+dimension_type
+Linear_Expression_Impl<Dense_Row>
+::first_nonzero(dimension_type first, dimension_type last) const;
+template <>
+dimension_type
+Linear_Expression_Impl<Sparse_Row>
+::first_nonzero(dimension_type first, dimension_type last) const;
+
+template <>
+Coefficient
+Linear_Expression_Impl<Dense_Row>::gcd(dimension_type start,
+ dimension_type end) const;
+template <>
+Coefficient
+Linear_Expression_Impl<Sparse_Row>::gcd(dimension_type start,
+ dimension_type end) const;
+
+template <>
+void
+Linear_Expression_Impl<Dense_Row>
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+template <>
+void
+Linear_Expression_Impl<Sparse_Row>
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+template <>
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>
+::have_a_common_variable(const Linear_Expression_Impl<Dense_Row>& y,
+ Variable first, Variable last) const;
+template <>
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>
+::have_a_common_variable(const Linear_Expression_Impl<Sparse_Row>& y,
+ Variable first, Variable last) const;
+template <>
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>
+::have_a_common_variable(const Linear_Expression_Impl<Dense_Row>& y,
+ Variable first, Variable last) const;
+template <>
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>
+::have_a_common_variable(const Linear_Expression_Impl<Sparse_Row>& y,
+ Variable first, Variable last) const;
+
+template <>
+bool
+Linear_Expression_Impl<Dense_Row>::is_zero() const;
+template <>
+bool
+Linear_Expression_Impl<Sparse_Row>::is_zero() const;
+
+template <>
+dimension_type
+Linear_Expression_Impl<Dense_Row>::last_nonzero() const;
+template <>
+dimension_type
+Linear_Expression_Impl<Sparse_Row>::last_nonzero() const;
+
+template <>
+dimension_type
+Linear_Expression_Impl<Dense_Row>
+::last_nonzero(dimension_type first, dimension_type last) const;
+template <>
+dimension_type
+Linear_Expression_Impl<Sparse_Row>
+::last_nonzero(dimension_type first, dimension_type last) const;
+
+template <>
+dimension_type
+Linear_Expression_Impl<Dense_Row>::num_zeroes(dimension_type start,
+ dimension_type end) const;
+template <>
+dimension_type
+Linear_Expression_Impl<Sparse_Row>::num_zeroes(dimension_type start,
+ dimension_type end) const;
+
+template <>
+void
+Linear_Expression_Impl<Dense_Row>
+::remove_space_dimensions(const Variables_Set& vars);
+template <>
+void
+Linear_Expression_Impl<Sparse_Row>
+::remove_space_dimensions(const Variables_Set& vars);
+
+template <>
+Representation
+Linear_Expression_Impl<Dense_Row>::representation() const;
+template <>
+Representation
+Linear_Expression_Impl<Sparse_Row>::representation() const;
+
+template <>
+void
+Linear_Expression_Impl<Dense_Row>::const_iterator::skip_zeroes_backward();
+template <>
+void
+Linear_Expression_Impl<Sparse_Row>::const_iterator::skip_zeroes_backward();
+
+template <>
+void
+Linear_Expression_Impl<Dense_Row>::const_iterator::skip_zeroes_forward();
+template <>
+void
+Linear_Expression_Impl<Sparse_Row>::const_iterator::skip_zeroes_forward();
+
+} // namespace Parma_Polyhedra_Library
+
+
+#include "Linear_Expression_Impl_inlines.hh"
+#include "Linear_Expression_Impl_templates.hh"
+
+#endif // !defined(PPL_Linear_Expression_Impl_defs_hh)
diff --git a/src/Linear_Expression_Impl_inlines.hh b/src/Linear_Expression_Impl_inlines.hh
new file mode 100644
index 0000000..40ca53e
--- /dev/null
+++ b/src/Linear_Expression_Impl_inlines.hh
@@ -0,0 +1,282 @@
+/* Linear_Expression_Impl class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Expression_Impl_inlines_hh
+#define PPL_Linear_Expression_Impl_inlines_hh 1
+
+#include "math_utilities_defs.hh"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+inline dimension_type
+Linear_Expression_Impl<Row>::max_space_dimension() {
+ return Row::max_size() - 1;
+}
+
+template <typename Row>
+inline
+Linear_Expression_Impl<Row>::Linear_Expression_Impl()
+ : row(1) {
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(dimension_type space_dim, bool)
+ : row(space_dim + 1) {
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_Expression_Impl<Row>::~Linear_Expression_Impl() {
+}
+
+template <typename Row>
+inline
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(Coefficient_traits::const_reference n)
+ : row(1) {
+ if (n != 0)
+ row.insert(0, n);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline dimension_type
+Linear_Expression_Impl<Row>::space_dimension() const {
+ return row.size() - 1;
+}
+
+template <typename Row>
+inline void
+Linear_Expression_Impl<Row>::set_space_dimension(dimension_type n) {
+ row.resize(n + 1);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline Coefficient_traits::const_reference
+Linear_Expression_Impl<Row>::coefficient(Variable v) const {
+ if (v.space_dimension() > space_dimension())
+ return Coefficient_zero();
+ return row.get(v.id() + 1);
+}
+
+template <typename Row>
+inline void
+Linear_Expression_Impl<Row>
+::set_coefficient(Variable v, Coefficient_traits::const_reference n) {
+ PPL_ASSERT(v.space_dimension() <= space_dimension());
+ const dimension_type i = v.space_dimension();
+ if (n == 0)
+ row.reset(i);
+ else
+ row.insert(i, n);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline Coefficient_traits::const_reference
+Linear_Expression_Impl<Row>::inhomogeneous_term() const {
+ return row.get(0);
+}
+
+template <typename Row>
+inline void
+Linear_Expression_Impl<Row>
+::set_inhomogeneous_term(Coefficient_traits::const_reference n) {
+ if (n == 0)
+ row.reset(0);
+ else
+ row.insert(0, n);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_Expression_Impl<Row>::swap_space_dimensions(Variable v1, Variable v2) {
+ row.swap_coefficients(v1.space_dimension(), v2.space_dimension());
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_Expression_Impl<Row>::shift_space_dimensions(Variable v,
+ dimension_type n) {
+ row.add_zeroes_and_shift(n, v.space_dimension());
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline memory_size_type
+Linear_Expression_Impl<Row>::external_memory_in_bytes() const {
+ return row.external_memory_in_bytes();
+}
+
+template <typename Row>
+inline memory_size_type
+Linear_Expression_Impl<Row>::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+template <typename Row>
+inline Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator+=(Coefficient_traits::const_reference n) {
+ typename Row::iterator itr = row.insert(0);
+ (*itr) += n;
+ if (*itr == 0)
+ row.reset(itr);
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+template <typename Row>
+inline Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator-=(Coefficient_traits::const_reference n) {
+ typename Row::iterator itr = row.insert(0);
+ (*itr) -= n;
+ if (*itr == 0)
+ row.reset(itr);
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+template <typename Row>
+inline void
+Linear_Expression_Impl<Row>::normalize() {
+ row.normalize();
+ PPL_ASSERT(OK());
+}
+
+template <>
+inline bool
+Linear_Expression_Impl<Sparse_Row>::is_zero() const {
+ return row.num_stored_elements() == 0;
+}
+
+template <>
+inline bool
+Linear_Expression_Impl<Sparse_Row>::all_homogeneous_terms_are_zero() const {
+ return row.lower_bound(1) == row.end();
+}
+
+template <>
+inline bool
+Linear_Expression_Impl<Sparse_Row>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ return row.lower_bound(start) == row.lower_bound(end);
+}
+
+template <>
+inline dimension_type
+Linear_Expression_Impl<Sparse_Row>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(start <= end);
+ return (end - start)
+ - std::distance(row.lower_bound(start), row.lower_bound(end));
+}
+
+template <>
+inline dimension_type
+Linear_Expression_Impl<Sparse_Row>::last_nonzero() const {
+ if (row.num_stored_elements() == 0)
+ return 0;
+ Sparse_Row::const_iterator i = row.end();
+ --i;
+ return i.index();
+}
+
+template <>
+inline dimension_type
+Linear_Expression_Impl<Sparse_Row>
+::first_nonzero(dimension_type first, dimension_type last) const {
+ PPL_ASSERT(first <= last);
+ PPL_ASSERT(last <= row.size());
+ Sparse_Row::const_iterator i = row.lower_bound(first);
+
+ if (i != row.end() && i.index() < last)
+ return i.index();
+ else
+ return last;
+}
+
+template <>
+inline dimension_type
+Linear_Expression_Impl<Sparse_Row>
+::last_nonzero(dimension_type first, dimension_type last) const {
+ PPL_ASSERT(first <= last);
+ PPL_ASSERT(last <= row.size());
+ Sparse_Row::const_iterator itr1 = row.lower_bound(first);
+ Sparse_Row::const_iterator itr2 = row.lower_bound(last);
+
+ if (itr1 == itr2)
+ return last;
+
+ --itr2;
+ return itr2.index();
+}
+
+template <>
+inline Representation
+Linear_Expression_Impl<Dense_Row>::representation() const {
+ return DENSE;
+}
+
+template <>
+inline Representation
+Linear_Expression_Impl<Sparse_Row>::representation() const {
+ return SPARSE;
+}
+
+template <>
+inline void
+Linear_Expression_Impl<Sparse_Row>::const_iterator
+::skip_zeroes_forward() {
+ // Nothing to do.
+}
+
+template <>
+inline void
+Linear_Expression_Impl<Sparse_Row>::const_iterator
+::skip_zeroes_backward() {
+ // Nothing to do.
+}
+
+namespace IO_Operators {
+
+template <typename Row>
+inline std::ostream&
+operator<<(std::ostream& s, const Linear_Expression_Impl<Row>& e) {
+ e.print(s);
+ return s;
+}
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Expression_Impl_inlines_hh)
diff --git a/src/Linear_Expression_Impl_templates.hh b/src/Linear_Expression_Impl_templates.hh
new file mode 100644
index 0000000..e9419ed
--- /dev/null
+++ b/src/Linear_Expression_Impl_templates.hh
@@ -0,0 +1,1316 @@
+/* Linear_Expression_Impl class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Expression_Impl_templates_hh
+#define PPL_Linear_Expression_Impl_templates_hh 1
+
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+
+#include "Constraint_defs.hh"
+#include "Generator_defs.hh"
+#include "Grid_Generator_defs.hh"
+#include "Congruence_defs.hh"
+#include <stdexcept>
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Impl& e) {
+ construct(e);
+}
+
+template <typename Row>
+template <typename Row2>
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Impl<Row2>& e) {
+ construct(e);
+}
+
+template <typename Row>
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Interface& e) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
+ construct(*p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
+ construct(*p);
+ }
+ else {
+ // Add implementations for other derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Interface& e,
+ dimension_type space_dim) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
+ construct(*p, space_dim);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
+ construct(*p, space_dim);
+ }
+ else {
+ // Add implementations for other derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Impl<Row2>& y, Variable i) {
+ PPL_ASSERT(space_dimension() == y.space_dimension());
+ PPL_ASSERT(i.space_dimension() <= space_dimension());
+ linear_combine(y, i.space_dimension());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Impl<Row2>& y, dimension_type i) {
+ const Linear_Expression_Impl& x = *this;
+ PPL_ASSERT(i < x.space_dimension() + 1);
+ PPL_ASSERT(x.space_dimension() == y.space_dimension());
+ Coefficient_traits::const_reference x_i = x.row.get(i);
+ Coefficient_traits::const_reference y_i = y.row.get(i);
+ PPL_ASSERT(x_i != 0);
+ PPL_ASSERT(y_i != 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(normalized_x_v);
+ PPL_DIRTY_TEMP_COEFFICIENT(normalized_y_v);
+ normalize2(x_i, y_i, normalized_x_v, normalized_y_v);
+ neg_assign(normalized_x_v);
+ linear_combine(y, normalized_y_v, normalized_x_v);
+ // We cannot use x_i here because it may have been invalidated by
+ // linear_combine().
+ assert(x.row.get(i) == 0);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) {
+ PPL_ASSERT(c1 != 0);
+ PPL_ASSERT(c2 != 0);
+ if (space_dimension() < y.space_dimension())
+ set_space_dimension(y.space_dimension());
+ linear_combine(y, c1, c2, 0, y.space_dimension() + 1);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) {
+ if (space_dimension() < y.space_dimension())
+ set_space_dimension(y.space_dimension());
+ linear_combine_lax(y, c1, c2, 0, y.space_dimension() + 1);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+int
+Linear_Expression_Impl<Row>
+::compare(const Linear_Expression_Impl<Row2>& y) const {
+ const Linear_Expression_Impl& x = *this;
+ // Compare all the coefficients of the row starting from position 1.
+ // NOTE: x and y may be of different size.
+ typename Row::const_iterator i = x.row.lower_bound(1);
+ typename Row::const_iterator i_end = x.row.end();
+ typename Row2::const_iterator j = y.row.lower_bound(1);
+ typename Row2::const_iterator j_end = y.row.end();
+ while (i != i_end && j != j_end) {
+ if (i.index() < j.index()) {
+ const int s = sgn(*i);
+ if (s != 0)
+ return 2*s;
+ ++i;
+ continue;
+ }
+ if (i.index() > j.index()) {
+ const int s = sgn(*j);
+ if (s != 0)
+ return -2*s;
+ ++j;
+ continue;
+ }
+ PPL_ASSERT(i.index() == j.index());
+ const int s = cmp(*i, *j);
+ if (s < 0)
+ return -2;
+ if (s > 0)
+ return 2;
+ PPL_ASSERT(s == 0);
+ ++i;
+ ++j;
+ }
+ for ( ; i != i_end; ++i) {
+ const int s = sgn(*i);
+ if (s != 0)
+ return 2*s;
+ }
+ for ( ; j != j_end; ++j) {
+ const int s = sgn(*j);
+ if (s != 0)
+ return -2*s;
+ }
+
+ // If all the coefficients in `x' equal all the coefficients in `y'
+ // (starting from position 1) we compare coefficients in position 0,
+ // i.e., inhomogeneous terms.
+ const int comp = cmp(x.row.get(0), y.row.get(0));
+ if (comp > 0)
+ return 1;
+ if (comp < 0)
+ return -1;
+ PPL_ASSERT(comp == 0);
+
+ // `x' and `y' are equal.
+ return 0;
+}
+
+template <typename Row>
+Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Variable v) {
+ if (v.space_dimension() > max_space_dimension())
+ throw std::length_error("Linear_Expression_Impl::"
+ "Linear_Expression_Impl(v):\n"
+ "v exceeds the maximum allowed "
+ "space dimension.");
+ set_space_dimension(v.space_dimension());
+ (*this) += v;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+bool
+Linear_Expression_Impl<Row>
+::is_equal_to(const Linear_Expression_Impl<Row2>& x) const {
+ return row == x.row;
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::get_row(Dense_Row& row) const {
+ row = this->row;
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::get_row(Sparse_Row& row) const {
+ row = this->row;
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::permute_space_dimensions(const std::vector<Variable>& cycle) {
+ const dimension_type n = cycle.size();
+ if (n < 2)
+ return;
+
+ if (n == 2) {
+ row.swap_coefficients(cycle[0].space_dimension(),
+ cycle[1].space_dimension());
+ }
+ else {
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+ tmp = row.get(cycle.back().space_dimension());
+ for (dimension_type i = n - 1; i-- > 0; )
+ row.swap_coefficients(cycle[i + 1].space_dimension(),
+ cycle[i].space_dimension());
+ if (tmp == 0)
+ row.reset(cycle[0].space_dimension());
+ else {
+ using std::swap;
+ swap(tmp, row[cycle[0].space_dimension()]);
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator+=(const Linear_Expression_Impl<Row2>& e) {
+ linear_combine(e, Coefficient_one(), Coefficient_one());
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator+=(const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
+ throw std::length_error("Linear_Expression_Impl& "
+ "operator+=(e, v):\n"
+ "v exceeds the maximum allowed space dimension.");
+ if (space_dimension() < v_space_dim)
+ set_space_dimension(v_space_dim);
+ typename Row::iterator itr = row.insert(v_space_dim);
+ ++(*itr);
+ if (*itr == 0)
+ row.reset(itr);
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+template <typename Row2>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator-=(const Linear_Expression_Impl<Row2>& e2) {
+ linear_combine(e2, Coefficient_one(), -1);
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator-=(const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
+ throw std::length_error("Linear_Expression_Impl& "
+ "operator-=(e, v):\n"
+ "v exceeds the maximum allowed space dimension.");
+ if (space_dimension() < v_space_dim)
+ set_space_dimension(v_space_dim);
+ typename Row::iterator itr = row.insert(v_space_dim);
+ --(*itr);
+ if (*itr == 0)
+ row.reset(itr);
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator*=(Coefficient_traits::const_reference n) {
+ if (n == 0) {
+ row.clear();
+ PPL_ASSERT(OK());
+ return *this;
+ }
+ for (typename Row::iterator i = row.begin(),
+ i_end = row.end(); i != i_end; ++i)
+ (*i) *= n;
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::operator/=(Coefficient_traits::const_reference n) {
+ typename Row::iterator i = row.begin();
+ const typename Row::iterator& i_end = row.end();
+ while (i != i_end) {
+ (*i) /= n;
+ if (*i == 0)
+ i = row.reset(i);
+ else
+ ++i;
+ }
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::negate() {
+ for (typename Row::iterator i = row.begin(),
+ i_end = row.end(); i != i_end; ++i)
+ neg_assign(*i);
+ PPL_ASSERT(OK());
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>::add_mul_assign(Coefficient_traits::const_reference n,
+ const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
+ throw std::length_error("Linear_Expression_Impl& "
+ "add_mul_assign(e, n, v):\n"
+ "v exceeds the maximum allowed space dimension.");
+ if (space_dimension() < v_space_dim)
+ set_space_dimension(v_space_dim);
+ if (n == 0)
+ return *this;
+ typename Row::iterator itr = row.insert(v_space_dim);
+ (*itr) += n;
+ if (*itr == 0)
+ row.reset(itr);
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression_Impl */
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>
+::sub_mul_assign(Coefficient_traits::const_reference n,
+ const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Expression_Impl<Row>::max_space_dimension())
+ throw std::length_error("Linear_Expression_Impl& "
+ "sub_mul_assign(e, n, v):\n"
+ "v exceeds the maximum allowed space dimension.");
+ if (space_dimension() < v_space_dim)
+ set_space_dimension(v_space_dim);
+ if (n == 0)
+ return *this;
+ typename Row::iterator itr = row.insert(v_space_dim);
+ (*itr) -= n;
+ if (*itr == 0)
+ row.reset(itr);
+ PPL_ASSERT(OK());
+ return *this;
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::add_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Impl<Row2>& y) {
+ if (factor != 0)
+ linear_combine(y, Coefficient_one(), factor);
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::sub_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Impl<Row2>& y) {
+ if (factor != 0)
+ linear_combine(y, Coefficient_one(), -factor);
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::print(std::ostream& s) const {
+ PPL_DIRTY_TEMP_COEFFICIENT(ev);
+ bool first = true;
+ for (typename Row::const_iterator i = row.lower_bound(1), i_end = row.end();
+ i != i_end; ++i) {
+ ev = *i;
+ if (ev == 0)
+ continue;
+ if (!first) {
+ if (ev > 0)
+ s << " + ";
+ else {
+ s << " - ";
+ neg_assign(ev);
+ }
+ }
+ else
+ first = false;
+ if (ev == -1)
+ s << "-";
+ else if (ev != 1)
+ s << ev << "*";
+ IO_Operators::operator<<(s, Variable(i.index() - 1));
+ }
+ // Inhomogeneous term.
+ PPL_DIRTY_TEMP_COEFFICIENT(it);
+ it = row[0];
+ if (it != 0) {
+ if (!first) {
+ if (it > 0)
+ s << " + ";
+ else {
+ s << " - ";
+ neg_assign(it);
+ }
+ }
+ else
+ first = false;
+ s << it;
+ }
+
+ if (first)
+ // The null linear expression.
+ s << Coefficient_zero();
+}
+
+template <typename Row>
+Coefficient_traits::const_reference
+Linear_Expression_Impl<Row>::get(dimension_type i) const {
+ return row.get(i);
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::set(dimension_type i, Coefficient_traits::const_reference n) {
+ if (n == 0)
+ row.reset(i);
+ else
+ row.insert(i, n);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::exact_div_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end) {
+ // NOTE: Since all coefficients in [start,end) are multiple of c,
+ // each of the resulting coefficients will be nonzero iff the initial
+ // coefficient was.
+ for (typename Row::iterator i = row.lower_bound(start),
+ i_end = row.lower_bound(end); i != i_end; ++i)
+ Parma_Polyhedra_Library::exact_div_assign(*i, *i, c);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::mul_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end) {
+ if (c == 0) {
+ typename Row::iterator i = row.lower_bound(start);
+ const typename Row::iterator& i_end = row.end();
+ while (i != i_end && i.index() < end)
+ i = row.reset(i);
+ }
+ else {
+ for (typename Row::iterator
+ i = row.lower_bound(start), i_end = row.lower_bound(end); i != i_end; ++i)
+ (*i) *= c;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) {
+ Parma_Polyhedra_Library::linear_combine(row, y.row, c1, c2, start, end);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::linear_combine_lax(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) {
+ PPL_ASSERT(start <= end);
+ PPL_ASSERT(end <= row.size());
+ PPL_ASSERT(end <= y.row.size());
+ if (c1 == 0) {
+ if (c2 == 0) {
+ PPL_ASSERT(c1 == 0);
+ PPL_ASSERT(c2 == 0);
+ typename Row::iterator i = row.lower_bound(start);
+ const typename Row::iterator& i_end = row.end();
+ while (i != i_end && i.index() < end)
+ i = row.reset(i);
+ }
+ else {
+ PPL_ASSERT(c1 == 0);
+ PPL_ASSERT(c2 != 0);
+
+ typename Row::iterator i = row.lower_bound(start);
+ const typename Row::iterator& i_end = row.end();
+ typename Row2::const_iterator j = y.row.lower_bound(start);
+ typename Row2::const_iterator j_last = y.row.lower_bound(end);
+
+ while (i != i_end && i.index() < end && j != j_last) {
+ if (i.index() < j.index()) {
+ i = row.reset(i);
+ continue;
+ }
+ if (i.index() > j.index()) {
+ i = row.insert(i, j.index(), *j);
+ (*i) *= c2;
+ ++i;
+ ++j;
+ continue;
+ }
+ PPL_ASSERT(i.index() == j.index());
+ (*i) = (*j);
+ (*i) *= c2;
+ ++i;
+ ++j;
+ }
+ while (i != i_end && i.index() < end)
+ i = row.reset(i);
+ while (j != j_last) {
+ i = row.insert(i, j.index(), *j);
+ (*i) *= c2;
+ // No need to increment i here.
+ ++j;
+ }
+ }
+ }
+ else {
+ if (c2 == 0) {
+ PPL_ASSERT(c1 != 0);
+ PPL_ASSERT(c2 == 0);
+ for (typename Row::iterator i = row.lower_bound(start),
+ i_end = row.lower_bound(end); i != i_end; ++i)
+ (*i) *= c1;
+ }
+ else {
+ PPL_ASSERT(c1 != 0);
+ PPL_ASSERT(c2 != 0);
+ Parma_Polyhedra_Library::linear_combine(row, y.row, c1, c2, start, end);
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::sign_normalize() {
+ typename Row::iterator i = row.lower_bound(1);
+ typename Row::iterator i_end = row.end();
+
+ for ( ; i != i_end; ++i)
+ if (*i != 0)
+ break;
+
+ if (i != i_end && *i < 0) {
+ for ( ; i != i_end; ++i)
+ neg_assign(*i);
+ // Negate the first coefficient, too.
+ typename Row::iterator first = row.begin();
+ if (first != row.end() && first.index() == 0)
+ neg_assign(*first);
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::negate(dimension_type first, dimension_type last) {
+ PPL_ASSERT(first <= last);
+ PPL_ASSERT(last <= row.size());
+ typename Row::iterator i = row.lower_bound(first);
+ typename Row::iterator i_end = row.lower_bound(last);
+ for ( ; i != i_end; ++i)
+ neg_assign(*i);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>::construct(const Linear_Expression_Impl<Row2>& e) {
+ row = e.row;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>::construct(const Linear_Expression_Impl<Row2>& e,
+ dimension_type space_dim) {
+ Row x(e.row, space_dim + 1, space_dim + 1);
+ swap(row, x);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+template <typename Row2>
+void
+Linear_Expression_Impl<Row>
+::scalar_product_assign(Coefficient& result,
+ const Linear_Expression_Impl<Row2>& y,
+ dimension_type start, dimension_type end) const {
+ const Linear_Expression_Impl<Row>& x = *this;
+ PPL_ASSERT(start <= end);
+ PPL_ASSERT(end <= x.row.size());
+ PPL_ASSERT(end <= y.row.size());
+ result = 0;
+ typename Row ::const_iterator x_i = x.row.lower_bound(start);
+ typename Row ::const_iterator x_end = x.row.lower_bound(end);
+ typename Row2::const_iterator y_i = y.row.lower_bound(start);
+ typename Row2::const_iterator y_end = y.row.lower_bound(end);
+ while (x_i != x_end && y_i != y_end) {
+ if (x_i.index() == y_i.index()) {
+ Parma_Polyhedra_Library::add_mul_assign(result, *x_i, *y_i);
+ ++x_i;
+ ++y_i;
+ }
+ else {
+ if (x_i.index() < y_i.index()) {
+ PPL_ASSERT(y.row.get(x_i.index()) == 0);
+ // (*x_i) * 0 == 0, nothing to do.
+ ++x_i;
+ }
+ else {
+ PPL_ASSERT(x.row.get(y_i.index()) == 0);
+ // 0 * (*y_i) == 0, nothing to do.
+ ++y_i;
+ }
+ }
+ }
+ // In the remaining positions (if any) at most one row is nonzero, so
+ // there's nothing left to do.
+}
+
+template <typename Row>
+template <typename Row2>
+int
+Linear_Expression_Impl<Row>
+::scalar_product_sign(const Linear_Expression_Impl<Row2>& y,
+ dimension_type start, dimension_type end) const {
+ PPL_DIRTY_TEMP_COEFFICIENT(result);
+ scalar_product_assign(result, y, start, end);
+ return sgn(result);
+}
+
+template <typename Row>
+template <typename Row2>
+bool
+Linear_Expression_Impl<Row>
+::is_equal_to(const Linear_Expression_Impl<Row2>& y,
+ dimension_type start, dimension_type end) const {
+ const Linear_Expression_Impl<Row>& x = *this;
+ PPL_ASSERT(start <= end);
+ PPL_ASSERT(end <= x.row.size());
+ PPL_ASSERT(end <= y.row.size());
+
+ typename Row::const_iterator i = x.row.lower_bound(start);
+ typename Row::const_iterator i_end = x.row.lower_bound(end);
+ typename Row2::const_iterator j = y.row.lower_bound(start);
+ typename Row2::const_iterator j_end = y.row.lower_bound(end);
+ while (i != i_end && j != j_end) {
+ if (i.index() == j.index()) {
+ if (*i != *j)
+ return false;
+ ++i;
+ ++j;
+ }
+ else {
+ if (i.index() < j.index()) {
+ if (*i != 0)
+ return false;
+ ++i;
+ }
+ else {
+ PPL_ASSERT(i.index() > j.index());
+ if (*j != 0)
+ return false;
+ ++j;
+ }
+ }
+ }
+ for ( ; i != i_end; ++i)
+ if (*i != 0)
+ return false;
+ for ( ; j != j_end; ++j)
+ if (*j != 0)
+ return false;
+ return true;
+}
+
+template <typename Row>
+template <typename Row2>
+bool
+Linear_Expression_Impl<Row>
+::is_equal_to(const Linear_Expression_Impl<Row2>& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ const Linear_Expression_Impl<Row>& x = *this;
+ PPL_ASSERT(start <= end);
+ PPL_ASSERT(end <= x.row.size());
+ PPL_ASSERT(end <= y.row.size());
+
+ // Deal with trivial cases.
+ if (c1 == 0) {
+ if (c2 == 0)
+ return true;
+ else
+ return y.all_zeroes(start, end);
+ }
+ if (c2 == 0)
+ return x.all_zeroes(start, end);
+
+ PPL_ASSERT(c1 != 0);
+ PPL_ASSERT(c2 != 0);
+ typename Row::const_iterator i = x.row.lower_bound(start);
+ typename Row::const_iterator i_end = x.row.lower_bound(end);
+ typename Row2::const_iterator j = y.row.lower_bound(start);
+ typename Row2::const_iterator j_end = y.row.lower_bound(end);
+ while (i != i_end && j != j_end) {
+ if (i.index() == j.index()) {
+ if ((*i) * c1 != (*j) * c2)
+ return false;
+ ++i;
+ ++j;
+ }
+ else {
+ if (i.index() < j.index()) {
+ if (*i != 0)
+ return false;
+ ++i;
+ }
+ else {
+ PPL_ASSERT(i.index() > j.index());
+ if (*j != 0)
+ return false;
+ ++j;
+ }
+ }
+ }
+ for ( ; i != i_end; ++i)
+ if (*i != 0)
+ return false;
+ for ( ; j != j_end; ++j)
+ if (*j != 0)
+ return false;
+ return true;
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Interface& y, Variable v) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ linear_combine(*p, v);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ linear_combine(*p, v);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ linear_combine(*p, c1, c2);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ linear_combine(*p, c1, c2);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::linear_combine_lax(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ linear_combine_lax(*p, c1, c2);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ linear_combine_lax(*p, c1, c2);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>
+::is_equal_to(const Linear_Expression_Interface& y) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return is_equal_to(*p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return is_equal_to(*p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return false;
+ }
+}
+
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>
+::operator+=(const Linear_Expression_Interface& y) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return operator+=(*p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return operator+=(*p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return *this;
+ }
+}
+
+template <typename Row>
+Linear_Expression_Impl<Row>&
+Linear_Expression_Impl<Row>
+::operator-=(const Linear_Expression_Interface& y) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return operator-=(*p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return operator-=(*p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return *this;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::add_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Interface& y) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ add_mul_assign(factor, *p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ add_mul_assign(factor, *p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::sub_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Interface& y) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ sub_mul_assign(factor, *p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ sub_mul_assign(factor, *p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Interface& y, dimension_type i) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ linear_combine(*p, i);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ linear_combine(*p, i);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::linear_combine(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ linear_combine(*p, c1, c2, start, end);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ linear_combine(*p, c1, c2, start, end);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::linear_combine_lax(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ linear_combine_lax(*p, c1, c2, start, end);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ linear_combine_lax(*p, c1, c2, start, end);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+int
+Linear_Expression_Impl<Row>
+::compare(const Linear_Expression_Interface& y) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return compare(*p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return compare(*p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return 0;
+ }
+}
+
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::construct(const Linear_Expression_Interface& y) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return construct(*p);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return construct(*p);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::construct(const Linear_Expression_Interface& y,
+ dimension_type space_dim) {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return construct(*p, space_dim);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return construct(*p, space_dim);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>
+::scalar_product_assign(Coefficient& result,
+ const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ scalar_product_assign(result, *p, start, end);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ scalar_product_assign(result, *p, start, end);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ }
+}
+
+template <typename Row>
+int
+Linear_Expression_Impl<Row>
+::scalar_product_sign(const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return scalar_product_sign(*p, start, end);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return scalar_product_sign(*p, start, end);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return 0;
+ }
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>
+::is_equal_to(const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return is_equal_to(*p, start, end);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return is_equal_to(*p, start, end);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return false;
+ }
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>
+::is_equal_to(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return is_equal_to(*p, c1, c2, start, end);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return is_equal_to(*p, c1, c2, start, end);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return false;
+ }
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>
+::have_a_common_variable(const Linear_Expression_Interface& y,
+ Variable first, Variable last) const {
+ typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
+ typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ return have_a_common_variable(*p, first, last);
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ return have_a_common_variable(*p, first, last);
+ }
+ else {
+ // Add implementations for new derived classes here.
+ PPL_UNREACHABLE;
+ return false;
+ }
+}
+
+template <typename Row>
+Linear_Expression_Interface::const_iterator_interface*
+Linear_Expression_Impl<Row>::begin() const {
+ return new const_iterator(row, 1);
+}
+
+template <typename Row>
+Linear_Expression_Interface::const_iterator_interface*
+Linear_Expression_Impl<Row>::end() const {
+ return new const_iterator(row, row.size());
+}
+
+template <typename Row>
+Linear_Expression_Interface::const_iterator_interface*
+Linear_Expression_Impl<Row>::lower_bound(Variable v) const {
+ return new const_iterator(row, v.space_dimension());
+}
+
+template <typename Row>
+Linear_Expression_Impl<Row>::const_iterator
+::const_iterator(const Row& row1, dimension_type i)
+ : row(&row1), itr(row1.lower_bound(i)) {
+ skip_zeroes_forward();
+}
+
+template <typename Row>
+Linear_Expression_Interface::const_iterator_interface*
+Linear_Expression_Impl<Row>::const_iterator
+::clone() const {
+ return new const_iterator(*this);
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::const_iterator
+::operator++() {
+ ++itr;
+ skip_zeroes_forward();
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::const_iterator
+::operator--() {
+ --itr;
+ skip_zeroes_backward();
+}
+
+template <typename Row>
+typename Linear_Expression_Impl<Row>::const_iterator::reference
+Linear_Expression_Impl<Row>::const_iterator
+::operator*() const {
+ return *itr;
+}
+
+template <typename Row>
+Variable
+Linear_Expression_Impl<Row>::const_iterator
+::variable() const {
+ const dimension_type i = itr.index();
+ PPL_ASSERT(i != 0);
+ return Variable(i - 1);
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>::const_iterator
+::operator==(const const_iterator_interface& x) const {
+ const const_iterator* const p = dynamic_cast<const const_iterator*>(&x);
+ // Comparing iterators belonging to different rows is forbidden.
+ PPL_ASSERT(p != 0);
+ PPL_ASSERT(row == p->row);
+ return itr == p->itr;
+}
+
+template <typename Row>
+void
+Linear_Expression_Impl<Row>::ascii_dump(std::ostream& s) const {
+ s << "size " << (space_dimension() + 1) << " ";
+ for (dimension_type i = 0; i < row.size(); ++i) {
+ s << row.get(i);
+ if (i != row.size() - 1)
+ s << ' ';
+ }
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>::ascii_load(std::istream& s) {
+ std::string str;
+
+ if (!(s >> str))
+ return false;
+ if (str != "size")
+ return false;
+
+ dimension_type new_size;
+ if (!(s >> new_size))
+ return false;
+
+ row.resize(0);
+ row.resize(new_size);
+
+ PPL_DIRTY_TEMP_COEFFICIENT(c);
+
+ for (dimension_type j = 0; j < new_size; ++j) {
+ if (!(s >> c))
+ return false;
+ if (c != 0)
+ row.insert(j, c);
+ }
+
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename Row>
+bool
+Linear_Expression_Impl<Row>::OK() const {
+ return row.OK();
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Expression_Impl_templates_hh)
diff --git a/src/Linear_Expression_Impl_types.hh b/src/Linear_Expression_Impl_types.hh
new file mode 100644
index 0000000..e2beb9b
--- /dev/null
+++ b/src/Linear_Expression_Impl_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Linear_Expression_Impl_types_hh
+#define PPL_Linear_Expression_Impl_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+class Linear_Expression_Impl;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Expression_Impl_types_hh)
diff --git a/src/Linear_Expression_Interface.cc b/src/Linear_Expression_Interface.cc
index 7918b69..b064538 100644
--- a/src/Linear_Expression_Interface.cc
+++ b/src/Linear_Expression_Interface.cc
@@ -1,6 +1,6 @@
/* Linear_Expression_Interface class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,7 +23,7 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Linear_Expression_Interface.defs.hh"
+#include "Linear_Expression_Interface_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
diff --git a/src/Linear_Expression_Interface.defs.hh b/src/Linear_Expression_Interface.defs.hh
deleted file mode 100644
index 6739c55..0000000
--- a/src/Linear_Expression_Interface.defs.hh
+++ /dev/null
@@ -1,489 +0,0 @@
-/* Linear_Expression_Interface class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Expression_Interface_defs_hh
-#define PPL_Linear_Expression_Interface_defs_hh 1
-
-#include "Linear_Expression_Interface.types.hh"
-#include "Coefficient.defs.hh"
-#include "Variable.types.hh"
-#include "Variables_Set.types.hh"
-#include "Dense_Row.types.hh"
-#include "Sparse_Row.types.hh"
-#include <vector>
-#include <set>
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A linear expression.
-/*! \ingroup PPL_CXX_interface
- An object of a class implementing Linear_Expression_Interface
- represents a linear expression
- \f[
- \sum_{i=0}^{n-1} a_i x_i + b
- \f]
- where \f$n\f$ is the dimension of the vector space,
- each \f$a_i\f$ is the integer coefficient
- of the \f$i\f$-th variable \f$x_i\f$
- and \f$b\f$ is the integer for the inhomogeneous term.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Linear_Expression_Interface {
-public:
- virtual ~Linear_Expression_Interface();
-
- virtual bool OK() const = 0;
-
- //! Returns the current representation of this linear expression.
- virtual Representation representation() const = 0;
-
- //! An interface for const iterators on the expression (homogeneous)
- //! coefficients that are nonzero.
- /*!
- These iterators are invalidated by operations that modify the expression.
- */
- class const_iterator_interface {
- public:
- typedef std::bidirectional_iterator_tag iterator_category;
- typedef const Coefficient value_type;
- typedef ptrdiff_t difference_type;
- typedef value_type* pointer;
- typedef Coefficient_traits::const_reference reference;
-
- //! Returns a copy of *this.
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- virtual const_iterator_interface* clone() const = 0;
-
- virtual ~const_iterator_interface();
-
- //! Navigates to the next nonzero coefficient.
- //! Note that this method does *not* return a reference, to increase
- //! efficiency since it's virtual.
- virtual void operator++() = 0;
-
- //! Navigates to the previous nonzero coefficient.
- //! Note that this method does *not* return a reference, to increase
- //! efficiency since it's virtual.
- virtual void operator--() = 0;
-
- //! Returns the current element.
- virtual reference operator*() const = 0;
-
- //! Returns the variable of the coefficient pointed to by \c *this.
- /*!
- \returns the variable of the coefficient pointed to by \c *this.
- */
- virtual Variable variable() const = 0;
-
- //! Compares \p *this with x .
- /*!
- \param x
- The %iterator that will be compared with *this.
- */
- virtual bool operator==(const const_iterator_interface& x) const = 0;
- };
-
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- virtual const_iterator_interface* begin() const = 0;
-
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- virtual const_iterator_interface* end() const = 0;
-
- //! This returns a pointer to dynamic-allocated memory. The caller has the
- //! duty to free the memory when it's not needed anymore.
- //! Returns (a pointer to) an iterator that points to the first nonzero
- //! coefficient of a variable greater than or equal to v, or at end if no
- //! such coefficient exists.
- virtual const_iterator_interface* lower_bound(Variable v) const = 0;
-
- //! Returns the dimension of the vector space enclosing \p *this.
- virtual dimension_type space_dimension() const = 0;
-
- //! Sets the dimension of the vector space enclosing \p *this to \p n .
- virtual void set_space_dimension(dimension_type n) = 0;
-
- //! Returns the coefficient of \p v in \p *this.
- virtual Coefficient_traits::const_reference
- coefficient(Variable v) const = 0;
-
- //! Sets the coefficient of \p v in \p *this to \p n.
- virtual void
- set_coefficient(Variable v, Coefficient_traits::const_reference n) = 0;
-
- //! Returns the inhomogeneous term of \p *this.
- virtual Coefficient_traits::const_reference inhomogeneous_term() const = 0;
-
- //! Sets the inhomogeneous term of \p *this to \p n.
- virtual void
- set_inhomogeneous_term(Coefficient_traits::const_reference n) = 0;
-
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param v
- The variable whose coefficient has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the coefficient of variable \p v equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- virtual void
- linear_combine(const Linear_Expression_Interface& y, Variable v) = 0;
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
- //! \p *this and \p y have the same space dimension.
- virtual void linear_combine(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) = 0;
-
- //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
- //! c1 and c2 may be 0.
- virtual void linear_combine_lax(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2) = 0;
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- virtual void swap_space_dimensions(Variable v1, Variable v2) = 0;
-
- //! Removes all the specified dimensions from the expression.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- virtual void remove_space_dimensions(const Variables_Set& vars) = 0;
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- virtual void shift_space_dimensions(Variable v, dimension_type n) = 0;
-
- //! Permutes the space dimensions of the expression.
- /*!
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- virtual void
- permute_space_dimensions(const std::vector<Variable>& cycle) = 0;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- virtual bool is_zero() const = 0;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- virtual bool all_homogeneous_terms_are_zero() const = 0;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- virtual memory_size_type total_memory_in_bytes() const = 0;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- virtual memory_size_type external_memory_in_bytes() const = 0;
-
- //! Writes to \p s an ASCII representation of \p *this.
- virtual void ascii_dump(std::ostream& s) const = 0;
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- virtual bool ascii_load(std::istream& s) = 0;
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- virtual bool is_equal_to(const Linear_Expression_Interface& x) const = 0;
-
- //! Normalizes the modulo of the coefficients and of the inhomogeneous term
- //! so that they are mutually prime.
- /*!
- Computes the Greatest Common Divisor (GCD) among the coefficients
- and the inhomogeneous term and normalizes them by the GCD itself.
- */
- virtual void normalize() = 0;
-
- //! Ensures that the first nonzero homogeneous coefficient is positive,
- //! by negating the row if necessary.
- virtual void sign_normalize() = 0;
-
- /*! \brief
- Negates the elements from index \p first (included)
- to index \p last (excluded).
- */
- virtual void negate(dimension_type first, dimension_type last) = 0;
-
- virtual Linear_Expression_Interface&
- operator+=(Coefficient_traits::const_reference n) = 0;
- virtual Linear_Expression_Interface&
- operator-=(Coefficient_traits::const_reference n) = 0;
-
- //! The basic comparison function.
- /*! \relates Linear_Expression_Interface
-
- \returns -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
- is greater. The absolute value of the result is 1 if the difference
- is only in the inhomogeneous terms, 2 otherwise
-
- The order is a lexicographic. It starts comparing the variables'
- coefficient, starting from Variable(0), and at the end it compares
- the inhomogeneous terms.
- */
- virtual int compare(const Linear_Expression_Interface& y) const = 0;
-
- virtual Linear_Expression_Interface&
- operator+=(const Linear_Expression_Interface& e2) = 0;
- virtual Linear_Expression_Interface&
- operator+=(const Variable v) = 0;
- virtual Linear_Expression_Interface&
- operator-=(const Linear_Expression_Interface& e2) = 0;
- virtual Linear_Expression_Interface&
- operator-=(const Variable v) = 0;
- virtual Linear_Expression_Interface&
- operator*=(Coefficient_traits::const_reference n) = 0;
- virtual Linear_Expression_Interface&
- operator/=(Coefficient_traits::const_reference n) = 0;
-
- virtual void negate() = 0;
-
- virtual Linear_Expression_Interface&
- add_mul_assign(Coefficient_traits::const_reference n, const Variable v) = 0;
-
- virtual Linear_Expression_Interface&
- sub_mul_assign(Coefficient_traits::const_reference n, const Variable v) = 0;
-
- virtual void add_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Interface& e2) = 0;
-
- virtual void sub_mul_assign(Coefficient_traits::const_reference factor,
- const Linear_Expression_Interface& e2) = 0;
-
- virtual void print(std::ostream& s) const = 0;
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- virtual bool all_zeroes(const Variables_Set& vars) const = 0;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- virtual bool have_a_common_variable(const Linear_Expression_Interface& x,
- Variable first, Variable last) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the i-th coefficient.
- virtual Coefficient_traits::const_reference get(dimension_type i) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets the i-th coefficient to n.
- virtual void set(dimension_type i, Coefficient_traits::const_reference n) = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- virtual bool all_zeroes(dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- virtual dimension_type
- num_zeroes(dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- virtual Coefficient gcd(dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- virtual void exact_div_assign(Coefficient_traits::const_reference c,
- dimension_type start, dimension_type end) = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Equivalent to <CODE>(*this)[i] *= n</CODE>, for each i in [start, end).
- virtual void mul_assign(Coefficient_traits::const_reference n,
- dimension_type start, dimension_type end) = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Linearly combines \p *this with \p y so that the coefficient of \p v
- //! is 0.
- /*!
- \param y
- The expression that will be combined with \p *this object;
-
- \param i
- The index of the coefficient that has to become \f$0\f$.
-
- Computes a linear combination of \p *this and \p y having
- the i-th coefficient equal to \f$0\f$. Then it assigns
- the resulting expression to \p *this.
-
- \p *this and \p y must have the same space dimension.
- */
- virtual void
- linear_combine(const Linear_Expression_Interface& y, dimension_type i) = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end).
- virtual void linear_combine(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end). c1 and c2 may be zero.
- virtual void linear_combine_lax(const Linear_Expression_Interface& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- virtual dimension_type last_nonzero() const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- virtual dimension_type
- last_nonzero(dimension_type first, dimension_type last) const = 0;
-
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- virtual dimension_type
- first_nonzero(dimension_type first, dimension_type last) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- virtual bool
- all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
- virtual void
- scalar_product_assign(Coefficient& result,
- const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Computes the sign of the sum of (*this)[i]*y[i],
- //! for each i in [start,end).
- virtual int
- scalar_product_sign(const Linear_Expression_Interface& y,
- dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Removes from the set x all the indexes of nonzero elements of *this.
- virtual void
- has_a_free_dimension_helper(std::set<dimension_type>& x) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- virtual bool is_equal_to(const Linear_Expression_Interface& x,
- dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- virtual bool is_equal_to(const Linear_Expression_Interface& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets `row' to a copy of the row that implements *this.
- virtual void get_row(Dense_Row& row) const = 0;
-
- // NOTE: This method is public, but it's not exposed in Linear_Expression,
- // so that it can be used internally in the PPL, by friends of
- // Linear_Expression.
- //! Sets `row' to a copy of the row that implements *this.
- virtual void get_row(Sparse_Row& row) const = 0;
-};
-
-#endif // !defined(PPL_Linear_Expression_Interface_defs_hh)
diff --git a/src/Linear_Expression_Interface.types.hh b/src/Linear_Expression_Interface.types.hh
deleted file mode 100644
index b525ae7..0000000
--- a/src/Linear_Expression_Interface.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Linear_Expression_Interface_types_hh
-#define PPL_Linear_Expression_Interface_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Linear_Expression_Interface;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Expression_Interface_types_hh)
diff --git a/src/Linear_Expression_Interface_defs.hh b/src/Linear_Expression_Interface_defs.hh
new file mode 100644
index 0000000..e2d3b8f
--- /dev/null
+++ b/src/Linear_Expression_Interface_defs.hh
@@ -0,0 +1,489 @@
+/* Linear_Expression_Interface class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Expression_Interface_defs_hh
+#define PPL_Linear_Expression_Interface_defs_hh 1
+
+#include "Linear_Expression_Interface_types.hh"
+#include "Coefficient_defs.hh"
+#include "Variable_types.hh"
+#include "Variables_Set_types.hh"
+#include "Dense_Row_types.hh"
+#include "Sparse_Row_types.hh"
+#include <vector>
+#include <set>
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A linear expression.
+/*! \ingroup PPL_CXX_interface
+ An object of a class implementing Linear_Expression_Interface
+ represents a linear expression
+ \f[
+ \sum_{i=0}^{n-1} a_i x_i + b
+ \f]
+ where \f$n\f$ is the dimension of the vector space,
+ each \f$a_i\f$ is the integer coefficient
+ of the \f$i\f$-th variable \f$x_i\f$
+ and \f$b\f$ is the integer for the inhomogeneous term.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Linear_Expression_Interface {
+public:
+ virtual ~Linear_Expression_Interface();
+
+ virtual bool OK() const = 0;
+
+ //! Returns the current representation of this linear expression.
+ virtual Representation representation() const = 0;
+
+ //! An interface for const iterators on the expression (homogeneous)
+ //! coefficients that are nonzero.
+ /*!
+ These iterators are invalidated by operations that modify the expression.
+ */
+ class const_iterator_interface {
+ public:
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef const Coefficient value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type* pointer;
+ typedef Coefficient_traits::const_reference reference;
+
+ //! Returns a copy of *this.
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ virtual const_iterator_interface* clone() const = 0;
+
+ virtual ~const_iterator_interface();
+
+ //! Navigates to the next nonzero coefficient.
+ //! Note that this method does *not* return a reference, to increase
+ //! efficiency since it's virtual.
+ virtual void operator++() = 0;
+
+ //! Navigates to the previous nonzero coefficient.
+ //! Note that this method does *not* return a reference, to increase
+ //! efficiency since it's virtual.
+ virtual void operator--() = 0;
+
+ //! Returns the current element.
+ virtual reference operator*() const = 0;
+
+ //! Returns the variable of the coefficient pointed to by \c *this.
+ /*!
+ \returns the variable of the coefficient pointed to by \c *this.
+ */
+ virtual Variable variable() const = 0;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ virtual bool operator==(const const_iterator_interface& x) const = 0;
+ };
+
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ virtual const_iterator_interface* begin() const = 0;
+
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ virtual const_iterator_interface* end() const = 0;
+
+ //! This returns a pointer to dynamic-allocated memory. The caller has the
+ //! duty to free the memory when it's not needed anymore.
+ //! Returns (a pointer to) an iterator that points to the first nonzero
+ //! coefficient of a variable greater than or equal to v, or at end if no
+ //! such coefficient exists.
+ virtual const_iterator_interface* lower_bound(Variable v) const = 0;
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ virtual dimension_type space_dimension() const = 0;
+
+ //! Sets the dimension of the vector space enclosing \p *this to \p n .
+ virtual void set_space_dimension(dimension_type n) = 0;
+
+ //! Returns the coefficient of \p v in \p *this.
+ virtual Coefficient_traits::const_reference
+ coefficient(Variable v) const = 0;
+
+ //! Sets the coefficient of \p v in \p *this to \p n.
+ virtual void
+ set_coefficient(Variable v, Coefficient_traits::const_reference n) = 0;
+
+ //! Returns the inhomogeneous term of \p *this.
+ virtual Coefficient_traits::const_reference inhomogeneous_term() const = 0;
+
+ //! Sets the inhomogeneous term of \p *this to \p n.
+ virtual void
+ set_inhomogeneous_term(Coefficient_traits::const_reference n) = 0;
+
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param v
+ The variable whose coefficient has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the coefficient of variable \p v equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ virtual void
+ linear_combine(const Linear_Expression_Interface& y, Variable v) = 0;
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
+ //! \p *this and \p y have the same space dimension.
+ virtual void linear_combine(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) = 0;
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
+ //! c1 and c2 may be 0.
+ virtual void linear_combine_lax(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) = 0;
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ virtual void swap_space_dimensions(Variable v1, Variable v2) = 0;
+
+ //! Removes all the specified dimensions from the expression.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ virtual void remove_space_dimensions(const Variables_Set& vars) = 0;
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ virtual void shift_space_dimensions(Variable v, dimension_type n) = 0;
+
+ //! Permutes the space dimensions of the expression.
+ /*!
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ virtual void
+ permute_space_dimensions(const std::vector<Variable>& cycle) = 0;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
+ virtual bool is_zero() const = 0;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are \f$0\f$.
+ */
+ virtual bool all_homogeneous_terms_are_zero() const = 0;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ virtual memory_size_type total_memory_in_bytes() const = 0;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ virtual memory_size_type external_memory_in_bytes() const = 0;
+
+ //! Writes to \p s an ASCII representation of \p *this.
+ virtual void ascii_dump(std::ostream& s) const = 0;
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ virtual bool ascii_load(std::istream& s) = 0;
+
+ //! Returns \p true if *this is equal to \p x.
+ //! Note that (*this == x) has a completely different meaning.
+ virtual bool is_equal_to(const Linear_Expression_Interface& x) const = 0;
+
+ //! Normalizes the modulo of the coefficients and of the inhomogeneous term
+ //! so that they are mutually prime.
+ /*!
+ Computes the Greatest Common Divisor (GCD) among the coefficients
+ and the inhomogeneous term and normalizes them by the GCD itself.
+ */
+ virtual void normalize() = 0;
+
+ //! Ensures that the first nonzero homogeneous coefficient is positive,
+ //! by negating the row if necessary.
+ virtual void sign_normalize() = 0;
+
+ /*! \brief
+ Negates the elements from index \p first (included)
+ to index \p last (excluded).
+ */
+ virtual void negate(dimension_type first, dimension_type last) = 0;
+
+ virtual Linear_Expression_Interface&
+ operator+=(Coefficient_traits::const_reference n) = 0;
+ virtual Linear_Expression_Interface&
+ operator-=(Coefficient_traits::const_reference n) = 0;
+
+ //! The basic comparison function.
+ /*! \relates Linear_Expression_Interface
+
+ \returns -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
+ is greater. The absolute value of the result is 1 if the difference
+ is only in the inhomogeneous terms, 2 otherwise
+
+ The order is a lexicographic. It starts comparing the variables'
+ coefficient, starting from Variable(0), and at the end it compares
+ the inhomogeneous terms.
+ */
+ virtual int compare(const Linear_Expression_Interface& y) const = 0;
+
+ virtual Linear_Expression_Interface&
+ operator+=(const Linear_Expression_Interface& e2) = 0;
+ virtual Linear_Expression_Interface&
+ operator+=(const Variable v) = 0;
+ virtual Linear_Expression_Interface&
+ operator-=(const Linear_Expression_Interface& e2) = 0;
+ virtual Linear_Expression_Interface&
+ operator-=(const Variable v) = 0;
+ virtual Linear_Expression_Interface&
+ operator*=(Coefficient_traits::const_reference n) = 0;
+ virtual Linear_Expression_Interface&
+ operator/=(Coefficient_traits::const_reference n) = 0;
+
+ virtual void negate() = 0;
+
+ virtual Linear_Expression_Interface&
+ add_mul_assign(Coefficient_traits::const_reference n, const Variable v) = 0;
+
+ virtual Linear_Expression_Interface&
+ sub_mul_assign(Coefficient_traits::const_reference n, const Variable v) = 0;
+
+ virtual void add_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Interface& e2) = 0;
+
+ virtual void sub_mul_assign(Coefficient_traits::const_reference factor,
+ const Linear_Expression_Interface& e2) = 0;
+
+ virtual void print(std::ostream& s) const = 0;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars[i] is \f$0\f$.
+ */
+ virtual bool all_zeroes(const Variables_Set& vars) const = 0;
+
+ //! Returns true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both *this and x.
+ virtual bool have_a_common_variable(const Linear_Expression_Interface& x,
+ Variable first, Variable last) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the i-th coefficient.
+ virtual Coefficient_traits::const_reference get(dimension_type i) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets the i-th coefficient to n.
+ virtual void set(dimension_type i, Coefficient_traits::const_reference n) = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
+ [start, end).
+ */
+ virtual bool all_zeroes(dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns the number of zero coefficient in [start, end).
+ */
+ virtual dimension_type
+ num_zeroes(dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end). If all the
+ coefficients in this range are 0 returns 0.
+ */
+ virtual Coefficient gcd(dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ virtual void exact_div_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end) = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Equivalent to <CODE>(*this)[i] *= n</CODE>, for each i in [start, end).
+ virtual void mul_assign(Coefficient_traits::const_reference n,
+ dimension_type start, dimension_type end) = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ virtual void
+ linear_combine(const Linear_Expression_Interface& y, dimension_type i) = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end).
+ virtual void linear_combine(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end). c1 and c2 may be zero.
+ virtual void linear_combine_lax(const Linear_Expression_Interface& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the index of the last nonzero element, or 0 if there are no
+ //! nonzero elements.
+ virtual dimension_type last_nonzero() const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the index of the last nonzero element in [first,last), or last
+ //! if there are no nonzero elements.
+ virtual dimension_type
+ last_nonzero(dimension_type first, dimension_type last) const = 0;
+
+ //! Returns the index of the first nonzero element, or \p last if there are no
+ //! nonzero elements, considering only elements in [first,last).
+ virtual dimension_type
+ first_nonzero(dimension_type first, dimension_type last) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ /*! \brief
+ Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
+ \f$0\f$, disregarding coefficients of variables in \p vars.
+ */
+ virtual bool
+ all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
+ virtual void
+ scalar_product_assign(Coefficient& result,
+ const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Computes the sign of the sum of (*this)[i]*y[i],
+ //! for each i in [start,end).
+ virtual int
+ scalar_product_sign(const Linear_Expression_Interface& y,
+ dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Removes from the set x all the indexes of nonzero elements of *this.
+ virtual void
+ has_a_free_dimension_helper(std::set<dimension_type>& x) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
+ virtual bool is_equal_to(const Linear_Expression_Interface& x,
+ dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
+ //! [start,end).
+ virtual bool is_equal_to(const Linear_Expression_Interface& x,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets `row' to a copy of the row that implements *this.
+ virtual void get_row(Dense_Row& row) const = 0;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets `row' to a copy of the row that implements *this.
+ virtual void get_row(Sparse_Row& row) const = 0;
+};
+
+#endif // !defined(PPL_Linear_Expression_Interface_defs_hh)
diff --git a/src/Linear_Expression_Interface_types.hh b/src/Linear_Expression_Interface_types.hh
new file mode 100644
index 0000000..0a62b78
--- /dev/null
+++ b/src/Linear_Expression_Interface_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Linear_Expression_Interface_types_hh
+#define PPL_Linear_Expression_Interface_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Linear_Expression_Interface;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Expression_Interface_types_hh)
diff --git a/src/Linear_Expression_defs.hh b/src/Linear_Expression_defs.hh
new file mode 100644
index 0000000..02b43e3
--- /dev/null
+++ b/src/Linear_Expression_defs.hh
@@ -0,0 +1,928 @@
+/* Linear_Expression class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Expression_defs_hh
+#define PPL_Linear_Expression_defs_hh 1
+
+#include "Linear_Expression_types.hh"
+
+#include "Constraint_types.hh"
+#include "Generator_types.hh"
+#include "Congruence_types.hh"
+#include "Grid_Generator_types.hh"
+#include "Linear_System_types.hh"
+#include "Constraint_System_types.hh"
+#include "Congruence_System_types.hh"
+#include "Coefficient_types.hh"
+#include "Polyhedron_types.hh"
+#include "Grid_types.hh"
+#include "PIP_Problem_types.hh"
+#include "BHRZ03_Certificate_types.hh"
+#include "Scalar_Products_types.hh"
+#include "MIP_Problem_types.hh"
+#include "Box_types.hh"
+#include "BD_Shape_types.hh"
+#include "Octagonal_Shape_types.hh"
+#include "termination_types.hh"
+
+#include "Expression_Adapter_defs.hh"
+#include "Expression_Hide_Inhomo_types.hh"
+#include "Expression_Hide_Last_types.hh"
+
+#include "Linear_Expression_Interface_defs.hh"
+#include "Variable_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+// Put them in the namespace here to declare them friend later.
+
+//! Returns the linear expression \p e1 + \p e2.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the linear expression \p v + \p w.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(Variable v, Variable w);
+
+//! Returns the linear expression \p v + \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(Variable v, const Linear_Expression& e);
+
+//! Returns the linear expression \p e + \p v.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(const Linear_Expression& e, Variable v);
+
+//! Returns the linear expression \p n + \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the linear expression \p e + \p n.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the linear expression \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator+(const Linear_Expression& e);
+
+//! Returns the linear expression - \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(const Linear_Expression& e);
+
+//! Returns the linear expression \p e1 - \p e2.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(const Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the linear expression \p v - \p w.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(Variable v, Variable w);
+
+//! Returns the linear expression \p v - \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(Variable v, const Linear_Expression& e);
+
+//! Returns the linear expression \p e - \p v.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(const Linear_Expression& e, Variable v);
+
+//! Returns the linear expression \p n - \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the linear expression \p e - \p n.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator-(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the linear expression \p n * \p e.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator*(Coefficient_traits::const_reference n, const Linear_Expression& e);
+
+//! Returns the linear expression \p e * \p n.
+/*! \relates Linear_Expression */
+Linear_Expression
+operator*(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the linear expression \p e1 + \p e2 and assigns it to \p e1.
+/*! \relates Linear_Expression */
+Linear_Expression&
+operator+=(Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the linear expression \p e + \p v and assigns it to \p e.
+/*! \relates Linear_Expression
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Expression::max_space_dimension()</CODE>.
+ */
+Linear_Expression&
+operator+=(Linear_Expression& e, Variable v);
+
+//! Returns the linear expression \p e + \p n and assigns it to \p e.
+/*! \relates Linear_Expression */
+Linear_Expression&
+operator+=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the linear expression \p e1 - \p e2 and assigns it to \p e1.
+/*! \relates Linear_Expression */
+Linear_Expression&
+operator-=(Linear_Expression& e1, const Linear_Expression& e2);
+
+//! Returns the linear expression \p e - \p v and assigns it to \p e.
+/*! \relates Linear_Expression
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Expression::max_space_dimension()</CODE>.
+ */
+Linear_Expression&
+operator-=(Linear_Expression& e, Variable v);
+
+//! Returns the linear expression \p e - \p n and assigns it to \p e.
+/*! \relates Linear_Expression */
+Linear_Expression&
+operator-=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the linear expression \p n * \p e and assigns it to \p e.
+/*! \relates Linear_Expression */
+Linear_Expression&
+operator*=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Returns the linear expression \p n / \p e and assigns it to \p e.
+/*! \relates Linear_Expression */
+Linear_Expression&
+operator/=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+//! Assigns to \p e its own negation.
+/*! \relates Linear_Expression */
+void
+neg_assign(Linear_Expression& e);
+
+//! Returns the linear expression \p e + \p n * \p v and assigns it to \p e.
+/*! \relates Linear_Expression */
+Linear_Expression&
+add_mul_assign(Linear_Expression& e,
+ Coefficient_traits::const_reference n, Variable v);
+
+//! Sums \p e2 multiplied by \p factor into \p e1.
+/*! \relates Linear_Expression */
+void add_mul_assign(Linear_Expression& e1,
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2);
+
+//! Subtracts \p e2 multiplied by \p factor from \p e1.
+/*! \relates Linear_Expression */
+void sub_mul_assign(Linear_Expression& e1,
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2);
+
+//! Returns the linear expression \p e - \p n * \p v and assigns it to \p e.
+/*! \relates Linear_Expression */
+Linear_Expression&
+sub_mul_assign(Linear_Expression& e,
+ Coefficient_traits::const_reference n, Variable v);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The basic comparison function.
+/*! \relates Linear_Expression
+
+ \returns -1 or -2 if x is less than y, 0 if they are equal and 1 or 2 is y
+ is greater. The absolute value of the result is 1 if the difference
+ is only in the inhomogeneous terms, 2 otherwise
+
+ The order is a lexicographic. It starts comparing the variables' coefficient,
+ starting from Variable(0), and at the end it compares the inhomogeneous
+ terms.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+int compare(const Linear_Expression& x, const Linear_Expression& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+std::ostream& operator<<(std::ostream& s, const Linear_Expression& e);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+//! A linear expression.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Linear_Expression represents the linear expression
+ \f[
+ \sum_{i=0}^{n-1} a_i x_i + b
+ \f]
+ where \f$n\f$ is the dimension of the vector space,
+ each \f$a_i\f$ is the integer coefficient
+ of the \f$i\f$-th variable \f$x_i\f$
+ and \f$b\f$ is the integer for the inhomogeneous term.
+
+ \par How to build a linear expression.
+
+ Linear expressions are the basic blocks for defining
+ both constraints (i.e., linear equalities or inequalities)
+ and generators (i.e., lines, rays, points and closure points).
+ A full set of functions is defined to provide a convenient interface
+ for building complex linear expressions starting from simpler ones
+ and from objects of the classes Variable and Coefficient:
+ available operators include unary negation,
+ binary addition and subtraction,
+ as well as multiplication by a Coefficient.
+ The space dimension of a linear expression is defined as the maximum
+ space dimension of the arguments used to build it:
+ in particular, the space dimension of a Variable <CODE>x</CODE>
+ is defined as <CODE>x.id()+1</CODE>,
+ whereas all the objects of the class Coefficient have space dimension zero.
+
+ \par Example
+ The following code builds the linear expression \f$4x - 2y - z + 14\f$,
+ having space dimension \f$3\f$:
+ \code
+ Linear_Expression e = 4*x - 2*y - z + 14;
+ \endcode
+ Another way to build the same linear expression is:
+ \code
+ Linear_Expression e1 = 4*x;
+ Linear_Expression e2 = 2*y;
+ Linear_Expression e3 = z;
+ Linear_Expression e = Linear_Expression(14);
+ e += e1 - e2 - e3;
+ \endcode
+ Note that \p e1, \p e2 and \p e3 have space dimension 1, 2 and 3,
+ respectively; also, in the fourth line of code, \p e is created
+ with space dimension zero and then extended to space dimension 3
+ in the fifth line.
+*/
+class Parma_Polyhedra_Library::Linear_Expression {
+public:
+ static const Representation default_representation = SPARSE;
+
+ //! Default constructor: returns a copy of Linear_Expression::zero().
+ explicit Linear_Expression(Representation r = default_representation);
+
+ /*! \brief Ordinary copy constructor.
+ \note
+ The new expression will have the same representation as \p e
+ (not necessarily the default_representation).
+ */
+ Linear_Expression(const Linear_Expression& e);
+
+ //! Copy constructor that takes also a Representation.
+ Linear_Expression(const Linear_Expression& e, Representation r);
+
+ // Queried by expression adapters.
+ typedef const Linear_Expression& const_reference;
+ typedef Linear_Expression raw_type;
+
+ /*! \brief Copy constructor from a linear expression adapter.
+ \note
+ The new expression will have the same representation as \p e
+ (not necessarily the default_representation).
+ */
+ template <typename LE_Adapter>
+ explicit
+ Linear_Expression(const LE_Adapter& e,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
+
+ /*! \brief Copy constructor from a linear expression adapter that takes a
+ Representation.
+ */
+ template <typename LE_Adapter>
+ Linear_Expression(const LE_Adapter& e, Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
+
+ /*! \brief
+ Copy constructor from a linear expression adapter that takes a
+ space dimension.
+ \note
+ The new expression will have the same representation as \p e
+ (not necessarily default_representation).
+ */
+ template <typename LE_Adapter>
+ explicit
+ Linear_Expression(const LE_Adapter& e, dimension_type space_dim,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
+
+ /*! \brief
+ Copy constructor from a linear expression adapter that takes a
+ space dimension and a Representation.
+ */
+ template <typename LE_Adapter>
+ Linear_Expression(const LE_Adapter& e,
+ dimension_type space_dim, Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
+
+ //! Assignment operator.
+ Linear_Expression& operator=(const Linear_Expression& e);
+
+ //! Destructor.
+ ~Linear_Expression();
+
+ /*! \brief
+ Builds the linear expression corresponding
+ to the inhomogeneous term \p n.
+ */
+ explicit Linear_Expression(Coefficient_traits::const_reference n,
+ Representation r = default_representation);
+
+ //! Builds the linear expression corresponding to the variable \p v.
+ /*!
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Expression::max_space_dimension()</CODE>.
+ */
+ Linear_Expression(Variable v, Representation r = default_representation);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! A const %iterator on the expression (homogeneous) coefficient that are
+ //! nonzero.
+ /*!
+ These iterators are invalidated by operations that modify the expression.
+ */
+ class const_iterator {
+ private:
+ public:
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef const Coefficient value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type* pointer;
+ typedef Coefficient_traits::const_reference reference;
+
+ //! Constructs an invalid const_iterator.
+ /*!
+ This constructor takes \f$O(1)\f$ time.
+ */
+ explicit const_iterator();
+
+ //! The copy constructor.
+ /*!
+ \param itr
+ The %iterator that will be copied.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ const_iterator(const const_iterator& itr);
+
+ ~const_iterator();
+
+ //! Swaps itr with *this.
+ /*!
+ \param itr
+ The %iterator that will be swapped with *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void m_swap(const_iterator& itr);
+
+ //! Assigns \p itr to *this .
+ /*!
+ \param itr
+ The %iterator that will be assigned into *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator& operator=(const const_iterator& itr);
+
+ //! Navigates to the next nonzero coefficient.
+ /*!
+ This method takes \f$O(n)\f$ time for dense expressions, and
+ \f$O(1)\f$ time for sparse expressions.
+ */
+ const_iterator& operator++();
+
+ //! Navigates to the previous nonzero coefficient.
+ /*!
+ This method takes \f$O(n)\f$ time for dense expressions, and
+ \f$O(1)\f$ time for sparse expressions.
+ */
+ const_iterator& operator--();
+
+ //! Returns the current element.
+ reference operator*() const;
+
+ //! Returns the variable of the coefficient pointed to by \c *this.
+ /*!
+ \returns the variable of the coefficient pointed to by \c *this.
+ */
+ Variable variable() const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ bool operator==(const const_iterator& x) const;
+
+ //! Compares \p *this with x .
+ /*!
+ \param x
+ The %iterator that will be compared with *this.
+ */
+ bool operator!=(const const_iterator& x) const;
+
+ private:
+ //! Constructor from a const_iterator_interface*.
+ //! The new object takes ownership of the dynamic object.
+ const_iterator(Linear_Expression_Interface::const_iterator_interface* itr);
+
+ Linear_Expression_Interface::const_iterator_interface* itr;
+
+ friend class Linear_Expression;
+ };
+
+ //! Returns an iterator that points to the first nonzero coefficient in the
+ //! expression.
+ const_iterator begin() const;
+
+ //! Returns an iterator that points to the last nonzero coefficient in the
+ //! expression.
+ const_iterator end() const;
+
+ //! Returns an iterator that points to the first nonzero coefficient of a
+ //! variable bigger than or equal to v.
+ const_iterator lower_bound(Variable v) const;
+
+ //! Returns the maximum space dimension a Linear_Expression can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Sets the dimension of the vector space enclosing \p *this to \p n .
+ void set_space_dimension(dimension_type n);
+
+ //! Returns the coefficient of \p v in \p *this.
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Sets the coefficient of \p v in \p *this to \p n.
+ void set_coefficient(Variable v,
+ Coefficient_traits::const_reference n);
+
+ //! Returns the inhomogeneous term of \p *this.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Sets the inhomogeneous term of \p *this to \p n.
+ void set_inhomogeneous_term(Coefficient_traits::const_reference n);
+
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param v
+ The variable whose coefficient has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the coefficient of variable \p v equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ void linear_combine(const Linear_Expression& y, Variable v);
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>, but assumes that
+ //! c1 and c2 are not 0.
+ void linear_combine(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2);
+
+ //! Equivalent to <CODE>*this = *this * c1 + y * c2</CODE>.
+ //! c1 and c2 may be 0.
+ void linear_combine_lax(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! Removes all the specified dimensions from the expression.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ //! Permutes the space dimensions of the expression.
+ /*!
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
+ bool is_zero() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are \f$0\f$.
+ */
+ bool all_homogeneous_terms_are_zero() const;
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ //! Returns the (zero-dimension space) constant 0.
+ static const Linear_Expression& zero();
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Linear_Expression& y);
+
+ //! Copy constructor with a specified space dimension.
+ Linear_Expression(const Linear_Expression& e, dimension_type space_dim);
+
+ //! Copy constructor with a specified space dimension and representation.
+ Linear_Expression(const Linear_Expression& e, dimension_type space_dim,
+ Representation r);
+
+ //! Returns \p true if *this is equal to \p x.
+ //! Note that (*this == x) has a completely different meaning.
+ bool is_equal_to(const Linear_Expression& x) const;
+
+ //! Normalizes the modulo of the coefficients and of the inhomogeneous term
+ //! so that they are mutually prime.
+ /*!
+ Computes the Greatest Common Divisor (GCD) among the coefficients
+ and the inhomogeneous term and normalizes them by the GCD itself.
+ */
+ void normalize();
+
+ //! Ensures that the first nonzero homogeneous coefficient is positive,
+ //! by negating the row if necessary.
+ void sign_normalize();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars[i] is \f$0\f$.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+private:
+ /*! \brief
+ Holds (between class initialization and finalization) a pointer to
+ the (zero-dimension space) constant 0.
+ */
+ static const Linear_Expression* zero_p;
+
+ Linear_Expression_Interface* impl;
+
+ //! Implementation sizing constructor.
+ /*!
+ The bool parameter is just to avoid problems with
+ the constructor Linear_Expression(Coefficient_traits::const_reference n).
+ */
+ Linear_Expression(dimension_type space_dim, bool,
+ Representation r = default_representation);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the i-th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets the i-th coefficient to n.
+ void set(dimension_type i, Coefficient_traits::const_reference n);
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Returns the coefficient of v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ // NOTE: This method is public, but it's not exposed in Linear_Expression,
+ // so that it can be used internally in the PPL, by friends of
+ // Linear_Expression.
+ //! Sets the coefficient of v to n.
+ void set(Variable v, Coefficient_traits::const_reference n);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
+ [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the number of zero coefficient in [start, end).
+ */
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end). If all the
+ coefficients in this range are 0 returns 0.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ void exact_div_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end);
+
+ //! Linearly combines \p *this with \p y so that the coefficient of \p v
+ //! is 0.
+ /*!
+ \param y
+ The expression that will be combined with \p *this object;
+
+ \param i
+ The index of the coefficient that has to become \f$0\f$.
+
+ Computes a linear combination of \p *this and \p y having
+ the i-th coefficient equal to \f$0\f$. Then it assigns
+ the resulting expression to \p *this.
+
+ \p *this and \p y must have the same space dimension.
+ */
+ void linear_combine(const Linear_Expression& y, dimension_type i);
+
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end). It assumes that c1 and c2 are nonzero.
+ void linear_combine(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end). c1 and c2 may be zero.
+ void linear_combine_lax(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ //! Equivalent to <CODE>(*this)[i] *= n</CODE>, for each i in [start, end).
+ void mul_assign(Coefficient_traits::const_reference n,
+ dimension_type start, dimension_type end);
+
+ //! Returns the index of the last nonzero element, or 0 if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last), or last
+ //! if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there are no
+ //! nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets results to the sum of (*this)[i]*y[i], for each i.
+ void scalar_product_assign(Coefficient& result,
+ const Linear_Expression& y) const;
+
+ //! Sets results to the sum of (*this)[i]*y[i], for each i in [start,end).
+ void scalar_product_assign(Coefficient& result, const Linear_Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Computes the sign of the sum of (*this)[i]*y[i], for each i.
+ int scalar_product_sign(const Linear_Expression& y) const;
+
+ //! Computes the sign of the sum of (*this)[i]*y[i],
+ //! for each i in [start,end).
+ int scalar_product_sign(const Linear_Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from the set x all the indexes of nonzero elements of *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
+ bool is_equal_to(const Linear_Expression& x,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
+ //! [start,end).
+ bool is_equal_to(const Linear_Expression& x,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets `row' to a copy of the row that implements *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets `row' to a copy of the row that implements *this.
+ void get_row(Sparse_Row& row) const;
+
+ //! Returns true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both *this and x.
+ bool have_a_common_variable(const Linear_Expression& x,
+ Variable first, Variable last) const;
+
+ /*! \brief
+ Negates the elements from index \p first (included)
+ to index \p last (excluded).
+ */
+ void negate(dimension_type first, dimension_type last);
+
+ template <typename Row>
+ friend class Linear_Expression_Impl;
+
+ // NOTE: The following classes are friends of Linear_Expression in order
+ // to access its private methods.
+ // Since they are *not* friend of Linear_Expression_Impl, they can only
+ // access its public methods so they cannot break the class invariant of
+ // Linear_Expression_Impl.
+ friend class Grid;
+ friend class Congruence;
+ friend class Polyhedron;
+ friend class PIP_Tree_Node;
+ friend class Grid_Generator;
+ friend class Generator;
+ friend class Constraint;
+ friend class Constraint_System;
+ friend class PIP_Problem;
+ friend class BHRZ03_Certificate;
+ friend class Scalar_Products;
+ friend class MIP_Problem;
+ friend class Box_Helpers;
+ friend class Congruence_System;
+ friend class BD_Shape_Helpers;
+ friend class Octagonal_Shape_Helper;
+ friend class Termination_Helpers;
+ template <typename T>
+ friend class BD_Shape;
+ template <typename T>
+ friend class Octagonal_Shape;
+ template <typename T>
+ friend class Linear_System;
+ template <typename T>
+ friend class Box;
+ template <typename T>
+ friend class Expression_Adapter;
+ template <typename T>
+ friend class Expression_Hide_Inhomo;
+ template <typename T>
+ friend class Expression_Hide_Last;
+
+ friend Linear_Expression
+ operator+(const Linear_Expression& e1, const Linear_Expression& e2);
+ friend Linear_Expression
+ operator+(Coefficient_traits::const_reference n, const Linear_Expression& e);
+ friend Linear_Expression
+ operator+(const Linear_Expression& e, Coefficient_traits::const_reference n);
+ friend Linear_Expression
+ operator+(Variable v, const Linear_Expression& e);
+ friend Linear_Expression
+ operator+(Variable v, Variable w);
+
+ friend Linear_Expression
+ operator-(const Linear_Expression& e);
+
+ friend Linear_Expression
+ operator-(const Linear_Expression& e1, const Linear_Expression& e2);
+ friend Linear_Expression
+ operator-(Variable v, Variable w);
+ friend Linear_Expression
+ operator-(Coefficient_traits::const_reference n, const Linear_Expression& e);
+ friend Linear_Expression
+ operator-(const Linear_Expression& e, Coefficient_traits::const_reference n);
+ friend Linear_Expression
+ operator-(Variable v, const Linear_Expression& e);
+ friend Linear_Expression
+ operator-(const Linear_Expression& e, Variable v);
+
+ friend Linear_Expression
+ operator*(Coefficient_traits::const_reference n, const Linear_Expression& e);
+ friend Linear_Expression
+ operator*(const Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Linear_Expression&
+ operator+=(Linear_Expression& e1, const Linear_Expression& e2);
+ friend Linear_Expression&
+ operator+=(Linear_Expression& e, Variable v);
+ friend Linear_Expression&
+ operator+=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Linear_Expression&
+ operator-=(Linear_Expression& e1, const Linear_Expression& e2);
+ friend Linear_Expression&
+ operator-=(Linear_Expression& e, Variable v);
+ friend Linear_Expression&
+ operator-=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend Linear_Expression&
+ operator*=(Linear_Expression& e, Coefficient_traits::const_reference n);
+ friend Linear_Expression&
+ operator/=(Linear_Expression& e, Coefficient_traits::const_reference n);
+
+ friend void
+ neg_assign(Linear_Expression& e);
+
+ friend Linear_Expression&
+ add_mul_assign(Linear_Expression& e,
+ Coefficient_traits::const_reference n, Variable v);
+ friend Linear_Expression&
+ sub_mul_assign(Linear_Expression& e,
+ Coefficient_traits::const_reference n, Variable v);
+
+ friend void
+ add_mul_assign(Linear_Expression& e1,
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2);
+ friend void
+ sub_mul_assign(Linear_Expression& e1,
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2);
+
+ friend int
+ compare(const Linear_Expression& x, const Linear_Expression& y);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators
+ ::operator<<(std::ostream& s, const Linear_Expression& e);
+};
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Linear_Expression */
+void swap(Linear_Expression& x, Linear_Expression& y);
+
+//! Swaps \p x with \p y.
+/*! \relates Linear_Expression::const_iterator */
+void swap(Linear_Expression::const_iterator& x,
+ Linear_Expression::const_iterator& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Linear_Expression_inlines.hh"
+
+#endif // !defined(PPL_Linear_Expression_defs_hh)
diff --git a/src/Linear_Expression_inlines.hh b/src/Linear_Expression_inlines.hh
new file mode 100644
index 0000000..3641fe0
--- /dev/null
+++ b/src/Linear_Expression_inlines.hh
@@ -0,0 +1,822 @@
+/* Linear_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Expression_inlines_hh
+#define PPL_Linear_Expression_inlines_hh 1
+
+#include "Expression_Adapter_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline Linear_Expression&
+Linear_Expression::operator=(const Linear_Expression& e) {
+ Linear_Expression tmp = e;
+ swap(*this, tmp);
+ return *this;
+}
+
+inline
+Linear_Expression::~Linear_Expression() {
+ delete impl;
+}
+
+inline Representation
+Linear_Expression::representation() const {
+ return impl->representation();
+}
+
+inline dimension_type
+Linear_Expression::space_dimension() const {
+ return impl->space_dimension();
+}
+
+inline void
+Linear_Expression::set_space_dimension(dimension_type n) {
+ impl->set_space_dimension(n);
+}
+
+inline Coefficient_traits::const_reference
+Linear_Expression::coefficient(Variable v) const {
+ return impl->coefficient(v);
+}
+
+inline void
+Linear_Expression
+::set_coefficient(Variable v, Coefficient_traits::const_reference n) {
+ impl->set_coefficient(v, n);
+}
+
+inline Coefficient_traits::const_reference
+Linear_Expression::inhomogeneous_term() const {
+ return impl->inhomogeneous_term();
+}
+
+inline void
+Linear_Expression
+::set_inhomogeneous_term(Coefficient_traits::const_reference n) {
+ impl->set_inhomogeneous_term(n);
+}
+
+inline void
+Linear_Expression::swap_space_dimensions(Variable v1, Variable v2) {
+ impl->swap_space_dimensions(v1, v2);
+}
+
+inline void
+Linear_Expression::shift_space_dimensions(Variable v, dimension_type n) {
+ impl->shift_space_dimensions(v, n);
+}
+
+inline bool
+Linear_Expression::is_zero() const {
+ return impl->is_zero();
+}
+
+inline bool
+Linear_Expression::all_homogeneous_terms_are_zero() const {
+ return impl->all_homogeneous_terms_are_zero();
+}
+
+inline const Linear_Expression&
+Linear_Expression::zero() {
+ PPL_ASSERT(zero_p != 0);
+ return *zero_p;
+}
+
+inline memory_size_type
+Linear_Expression::external_memory_in_bytes() const {
+ return impl->total_memory_in_bytes();
+}
+
+inline memory_size_type
+Linear_Expression::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator+(const Linear_Expression& e) {
+ return e;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator+(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ Linear_Expression x = e;
+ x += n;
+ return x;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator+(const Linear_Expression& e, const Variable v) {
+ Linear_Expression x = e;
+ x += v;
+ return x;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator-(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ Linear_Expression x = e;
+ x -= n;
+ return x;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator-(const Variable v, const Variable w) {
+ const dimension_type v_space_dim = v.space_dimension();
+ const dimension_type w_space_dim = w.space_dimension();
+ const dimension_type space_dim = std::max(v_space_dim, w_space_dim);
+ if (space_dim > Linear_Expression::max_space_dimension())
+ throw std::length_error("Linear_Expression "
+ "PPL::operator+(v, w):\n"
+ "v or w exceed the maximum allowed "
+ "space dimension.");
+ if (v_space_dim >= w_space_dim) {
+ Linear_Expression e(v);
+ e -= w;
+ return e;
+ }
+ else {
+ Linear_Expression e(w.space_dimension(), true);
+ e -= w;
+ e += v;
+ return e;
+ }
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator*(const Linear_Expression& e, Coefficient_traits::const_reference n) {
+ Linear_Expression x = e;
+ x *= n;
+ return x;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression&
+operator+=(Linear_Expression& e, Coefficient_traits::const_reference n) {
+ *e.impl += n;
+ return e;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression&
+operator-=(Linear_Expression& e, Coefficient_traits::const_reference n) {
+ *e.impl -= n;
+ return e;
+}
+
+inline void
+Linear_Expression::m_swap(Linear_Expression& y) {
+ using std::swap;
+ swap(impl, y.impl);
+}
+
+inline void
+Linear_Expression::normalize() {
+ impl->normalize();
+}
+
+inline void
+Linear_Expression::ascii_dump(std::ostream& s) const {
+ impl->ascii_dump(s);
+}
+
+inline bool
+Linear_Expression::ascii_load(std::istream& s) {
+ return impl->ascii_load(s);
+}
+
+inline void
+Linear_Expression::remove_space_dimensions(const Variables_Set& vars) {
+ impl->remove_space_dimensions(vars);
+}
+
+inline void
+Linear_Expression::permute_space_dimensions(const std::vector<Variable>& cycle) {
+ impl->permute_space_dimensions(cycle);
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator+(const Linear_Expression& e1, const Linear_Expression& e2) {
+ if (e1.space_dimension() >= e2.space_dimension()) {
+ Linear_Expression e = e1;
+ e += e2;
+ return e;
+ }
+ else {
+ Linear_Expression e = e2;
+ e += e1;
+ return e;
+ }
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator+(const Variable v, const Linear_Expression& e) {
+ return e + v;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator+(Coefficient_traits::const_reference n,
+ const Linear_Expression& e) {
+ return e + n;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator+(const Variable v, const Variable w) {
+ const dimension_type v_space_dim = v.space_dimension();
+ const dimension_type w_space_dim = w.space_dimension();
+ const dimension_type space_dim = std::max(v_space_dim, w_space_dim);
+ if (space_dim > Linear_Expression::max_space_dimension())
+ throw std::length_error("Linear_Expression "
+ "PPL::operator+(v, w):\n"
+ "v or w exceed the maximum allowed "
+ "space dimension.");
+ if (v_space_dim >= w_space_dim) {
+ Linear_Expression e(v);
+ e += w;
+ return e;
+ }
+ else {
+ Linear_Expression e(w);
+ e += v;
+ return e;
+ }
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator-(const Linear_Expression& e) {
+ Linear_Expression r(e);
+ neg_assign(r);
+ return r;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator-(const Linear_Expression& e1, const Linear_Expression& e2) {
+ if (e1.space_dimension() >= e2.space_dimension()) {
+ Linear_Expression e = e1;
+ e -= e2;
+ return e;
+ }
+ else {
+ Linear_Expression e = e2;
+ neg_assign(e);
+ e += e1;
+ return e;
+ }
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator-(const Variable v, const Linear_Expression& e) {
+ Linear_Expression result(e, std::max(v.space_dimension(), e.space_dimension()));
+ result.negate(0, e.space_dimension() + 1);
+ result += v;
+ return result;
+}
+
+/*! \relates Linear_Expression */
+inline Linear_Expression
+operator-(const Linear_Expression& e, const Variable v) {
+ Linear_Expression result(e, std::max(v.space_dimension(), e.space_dimension()));
+ result -= v;
+ return result;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator-(Coefficient_traits::const_reference n,
+ const Linear_Expression& e) {
+ Linear_Expression result(e);
+ neg_assign(result);
+ result += n;
+ return result;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression
+operator*(Coefficient_traits::const_reference n,
+ const Linear_Expression& e) {
+ return e * n;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+operator+=(Linear_Expression& e1, const Linear_Expression& e2) {
+ *e1.impl += *e2.impl;
+ return e1;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+operator+=(Linear_Expression& e, const Variable v) {
+ *e.impl += v;
+ return e;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+operator-=(Linear_Expression& e1, const Linear_Expression& e2) {
+ *e1.impl -= *e2.impl;
+ return e1;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+operator-=(Linear_Expression& e, const Variable v) {
+ *e.impl -= v;
+ return e;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+operator*=(Linear_Expression& e, Coefficient_traits::const_reference n) {
+ *e.impl *= n;
+ return e;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+operator/=(Linear_Expression& e, Coefficient_traits::const_reference n) {
+ *e.impl /= n;
+ return e;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline void
+neg_assign(Linear_Expression& e) {
+ e.impl->negate();
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+add_mul_assign(Linear_Expression& e,
+ Coefficient_traits::const_reference n,
+ const Variable v) {
+ e.impl->add_mul_assign(n, v);
+ return e;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline Linear_Expression&
+sub_mul_assign(Linear_Expression& e,
+ Coefficient_traits::const_reference n,
+ const Variable v) {
+ e.impl->sub_mul_assign(n, v);
+ return e;
+}
+
+inline void
+add_mul_assign(Linear_Expression& e1,
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2) {
+ e1.impl->add_mul_assign(factor, *e2.impl);
+}
+
+inline void
+sub_mul_assign(Linear_Expression& e1,
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2) {
+ e1.impl->sub_mul_assign(factor, *e2.impl);
+}
+
+inline Coefficient_traits::const_reference
+Linear_Expression::get(dimension_type i) const {
+ return impl->get(i);
+}
+
+inline void
+Linear_Expression::set(dimension_type i,
+ Coefficient_traits::const_reference n) {
+ impl->set(i, n);
+}
+
+inline Coefficient_traits::const_reference
+Linear_Expression::get(Variable v) const {
+ return impl->get(v.space_dimension());
+}
+
+inline void
+Linear_Expression::set(Variable v,
+ Coefficient_traits::const_reference n) {
+ impl->set(v.space_dimension(), n);
+}
+
+inline bool
+Linear_Expression::all_zeroes(dimension_type start, dimension_type end) const {
+ return impl->all_zeroes(start, end);
+}
+
+inline dimension_type
+Linear_Expression::num_zeroes(dimension_type start, dimension_type end) const {
+ return impl->num_zeroes(start, end);
+}
+
+inline Coefficient
+Linear_Expression::gcd(dimension_type start, dimension_type end) const {
+ return impl->gcd(start, end);
+}
+
+inline void
+Linear_Expression
+::exact_div_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end) {
+ impl->exact_div_assign(c, start, end);
+}
+
+inline void
+Linear_Expression
+::mul_assign(Coefficient_traits::const_reference c,
+ dimension_type start, dimension_type end) {
+ impl->mul_assign(c, start, end);
+}
+
+inline void
+Linear_Expression::sign_normalize() {
+ impl->sign_normalize();
+}
+
+inline void
+Linear_Expression::negate(dimension_type first, dimension_type last) {
+ impl->negate(first, last);
+}
+
+inline bool
+Linear_Expression::all_zeroes(const Variables_Set& vars) const {
+ return impl->all_zeroes(vars);
+}
+
+inline bool
+Linear_Expression::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start,
+ dimension_type end) const {
+ return impl->all_zeroes_except(vars, start, end);
+}
+
+inline dimension_type
+Linear_Expression::last_nonzero() const {
+ return impl->last_nonzero();
+}
+
+inline void
+Linear_Expression
+::scalar_product_assign(Coefficient& result, const Linear_Expression& y) const {
+ scalar_product_assign(result, y, 0, space_dimension() + 1);
+}
+
+inline void
+Linear_Expression
+::scalar_product_assign(Coefficient& result, const Linear_Expression& y,
+ dimension_type start, dimension_type end) const {
+ impl->scalar_product_assign(result, *(y.impl), start, end);
+}
+
+inline int
+Linear_Expression
+::scalar_product_sign(const Linear_Expression& y) const {
+ return scalar_product_sign(y, 0, space_dimension() + 1);
+}
+
+inline int
+Linear_Expression
+::scalar_product_sign(const Linear_Expression& y,
+ dimension_type start, dimension_type end) const {
+ return impl->scalar_product_sign(*(y.impl), start, end);
+}
+
+inline dimension_type
+Linear_Expression
+::first_nonzero(dimension_type first, dimension_type last) const {
+ return impl->first_nonzero(first, last);
+}
+
+inline dimension_type
+Linear_Expression
+::last_nonzero(dimension_type first, dimension_type last) const {
+ return impl->last_nonzero(first, last);
+}
+
+inline void
+Linear_Expression
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
+ return impl->has_a_free_dimension_helper(x);
+}
+
+inline bool
+Linear_Expression
+::is_equal_to(const Linear_Expression& x,
+ dimension_type start, dimension_type end) const {
+ return impl->is_equal_to(*(x.impl), start, end);
+}
+
+inline bool
+Linear_Expression
+::is_equal_to(const Linear_Expression& x,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ return impl->is_equal_to(*(x.impl), c1, c2, start, end);
+}
+
+inline void
+Linear_Expression
+::get_row(Dense_Row& row) const {
+ return impl->get_row(row);
+}
+
+inline void
+Linear_Expression
+::get_row(Sparse_Row& row) const {
+ return impl->get_row(row);
+}
+
+inline void
+Linear_Expression
+::linear_combine(const Linear_Expression& y, dimension_type i) {
+ impl->linear_combine(*y.impl, i);
+}
+
+inline void
+Linear_Expression
+::linear_combine(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) {
+ impl->linear_combine(*y.impl, c1, c2);
+}
+
+inline void
+Linear_Expression
+::linear_combine_lax(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2) {
+ impl->linear_combine_lax(*y.impl, c1, c2);
+}
+
+inline int
+compare(const Linear_Expression& x, const Linear_Expression& y) {
+ return x.impl->compare(*y.impl);
+}
+
+inline bool
+Linear_Expression::is_equal_to(const Linear_Expression& x) const {
+ return impl->is_equal_to(*x.impl);
+}
+
+inline void
+Linear_Expression::linear_combine(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start,
+ dimension_type end) {
+ impl->linear_combine(*y.impl, c1, c2, start, end);
+}
+
+inline void
+Linear_Expression::linear_combine_lax(const Linear_Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start,
+ dimension_type end) {
+ impl->linear_combine_lax(*y.impl, c1, c2, start, end);
+}
+
+inline bool
+Linear_Expression
+::have_a_common_variable(const Linear_Expression& x,
+ Variable first, Variable last) const {
+ return impl->have_a_common_variable(*(x.impl), first, last);
+}
+
+inline
+Linear_Expression::const_iterator
+::const_iterator()
+ : itr(NULL) {
+}
+
+inline
+Linear_Expression::const_iterator
+::const_iterator(const const_iterator& x)
+ : itr(x.itr->clone()) {
+}
+
+inline
+Linear_Expression::const_iterator
+::~const_iterator() {
+ // Note that this does nothing if itr==NULL.
+ delete itr;
+}
+
+inline void
+Linear_Expression::const_iterator::m_swap(const_iterator& x) {
+ using std::swap;
+ swap(itr, x.itr);
+}
+
+inline Linear_Expression::const_iterator&
+Linear_Expression::const_iterator
+::operator=(const const_iterator& itr) {
+ const_iterator tmp = itr;
+ using std::swap;
+ swap(*this, tmp);
+ return *this;
+}
+
+inline Linear_Expression::const_iterator&
+Linear_Expression::const_iterator
+::operator++() {
+ PPL_ASSERT(itr != NULL);
+ ++(*itr);
+ return *this;
+}
+
+inline Linear_Expression::const_iterator&
+Linear_Expression::const_iterator
+::operator--() {
+ PPL_ASSERT(itr != NULL);
+ --(*itr);
+ return *this;
+}
+
+inline Linear_Expression::const_iterator::reference
+Linear_Expression::const_iterator
+::operator*() const {
+ PPL_ASSERT(itr != NULL);
+ return *(*itr);
+}
+
+inline Variable
+Linear_Expression::const_iterator
+::variable() const {
+ PPL_ASSERT(itr != NULL);
+ return itr->variable();
+}
+
+inline bool
+Linear_Expression::const_iterator
+::operator==(const const_iterator& x) const {
+ PPL_ASSERT(itr != NULL);
+ PPL_ASSERT(x.itr != NULL);
+ return *itr == *(x.itr);
+}
+
+inline bool
+Linear_Expression::const_iterator
+::operator!=(const const_iterator& x) const {
+ return !(*this == x);
+}
+
+inline
+Linear_Expression::const_iterator
+::const_iterator(Linear_Expression_Interface::const_iterator_interface* itr)
+ : itr(itr) {
+ PPL_ASSERT(itr != NULL);
+}
+
+inline Linear_Expression::const_iterator
+Linear_Expression
+::begin() const {
+ return const_iterator(impl->begin());
+}
+
+inline Linear_Expression::const_iterator
+Linear_Expression
+::end() const {
+ return const_iterator(impl->end());
+}
+
+inline Linear_Expression::const_iterator
+Linear_Expression
+::lower_bound(Variable v) const {
+ return const_iterator(impl->lower_bound(v));
+}
+
+template <typename LE_Adapter>
+inline
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
+ : impl(NULL) {
+ Linear_Expression tmp(e.representation());
+ tmp.set_space_dimension(e.space_dimension());
+ tmp.set_inhomogeneous_term(e.inhomogeneous_term());
+ for (typename LE_Adapter::const_iterator i = e.begin(),
+ i_end = e.end(); i != i_end; ++i)
+ add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
+ swap(impl, tmp.impl);
+}
+
+template <typename LE_Adapter>
+inline
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
+ : impl(NULL) {
+ Linear_Expression tmp(r);
+ tmp.set_space_dimension(e.space_dimension());
+ tmp.set_inhomogeneous_term(e.inhomogeneous_term());
+ for (typename LE_Adapter::const_iterator i = e.begin(),
+ i_end = e.end(); i != i_end; ++i)
+ add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
+ swap(impl, tmp.impl);
+}
+
+template <typename LE_Adapter>
+inline
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ dimension_type space_dim,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
+ : impl(NULL) {
+ Linear_Expression tmp(e.representation());
+ tmp.set_space_dimension(space_dim);
+ tmp.set_inhomogeneous_term(e.inhomogeneous_term());
+ typedef typename LE_Adapter::const_iterator itr_t;
+ itr_t i_end;
+ if (space_dim <= e.space_dimension())
+ i_end = e.lower_bound(Variable(space_dim));
+ else
+ i_end = e.end();
+ for (itr_t i = e.begin(); i != i_end; ++i)
+ add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
+ swap(impl, tmp.impl);
+}
+
+template <typename LE_Adapter>
+inline
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ dimension_type space_dim,
+ Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
+ : impl(NULL) {
+ Linear_Expression tmp(r);
+ tmp.set_space_dimension(space_dim);
+ tmp.set_inhomogeneous_term(e.inhomogeneous_term());
+ typedef typename LE_Adapter::const_iterator itr_t;
+ itr_t i_end;
+ if (space_dim <= e.space_dimension())
+ i_end = e.lower_bound(Variable(space_dim));
+ else
+ i_end = e.end();
+ for (itr_t i = e.begin(); i != i_end; ++i)
+ add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
+ swap(impl, tmp.impl);
+}
+
+namespace IO_Operators {
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline std::ostream&
+operator<<(std::ostream& s, const Linear_Expression& e) {
+ e.impl->print(s);
+ return s;
+}
+
+} // namespace IO_Operators
+
+/*! \relates Parma_Polyhedra_Library::Linear_Expression */
+inline void
+swap(Linear_Expression& x, Linear_Expression& y) {
+ x.m_swap(y);
+}
+
+/*! \relates Linear_Expression::const_iterator */
+inline void
+swap(Linear_Expression::const_iterator& x,
+ Linear_Expression::const_iterator& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Expression_inlines_hh)
diff --git a/src/Linear_Expression_types.hh b/src/Linear_Expression_types.hh
new file mode 100644
index 0000000..b2f216a
--- /dev/null
+++ b/src/Linear_Expression_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Linear_Expression_types_hh
+#define PPL_Linear_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Linear_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Expression_types_hh)
diff --git a/src/Linear_Form.cc b/src/Linear_Form.cc
index 68ce855..8ed57e6 100644
--- a/src/Linear_Form.cc
+++ b/src/Linear_Form.cc
@@ -1,6 +1,6 @@
/* Linear_Form class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,4 +23,4 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Linear_Form.defs.hh"
+#include "Linear_Form_defs.hh"
diff --git a/src/Linear_Form.defs.hh b/src/Linear_Form.defs.hh
deleted file mode 100644
index ec64ef7..0000000
--- a/src/Linear_Form.defs.hh
+++ /dev/null
@@ -1,499 +0,0 @@
-/* Linear_Form class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Form_defs_hh
-#define PPL_Linear_Form_defs_hh 1
-
-#include "Linear_Form.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Variable.defs.hh"
-#include "Box.types.hh"
-#include "Float.defs.hh"
-#include <vector>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Linear_Form */
-template <typename C>
-void swap(Linear_Form<C>& x, Linear_Form<C>& y);
-
-// Put them in the namespace here to declare them friend later.
-
-//! Returns the linear form \p f1 + \p f2.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
-
-//! Returns the linear form \p v + \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(Variable v, const Linear_Form<C>& f);
-
-//! Returns the linear form \p f + \p v.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const Linear_Form<C>& f, Variable v);
-
-//! Returns the linear form \p n + \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const C& n, const Linear_Form<C>& f);
-
-//! Returns the linear form \p f + \p n.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const Linear_Form<C>& f, const C& n);
-
-//! Returns the linear form \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const Linear_Form<C>& f);
-
-//! Returns the linear form - \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f);
-
-//! Returns the linear form \p f1 - \p f2.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
-
-//! Returns the linear form \p v - \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(Variable v, const Linear_Form<C>& f);
-
-//! Returns the linear form \p f - \p v.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f, Variable v);
-
-//! Returns the linear form \p n - \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const C& n, const Linear_Form<C>& f);
-
-//! Returns the linear form \p f - \p n.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f, const C& n);
-
-//! Returns the linear form \p n * \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator*(const C& n, const Linear_Form<C>& f);
-
-//! Returns the linear form \p f * \p n.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator*(const Linear_Form<C>& f, const C& n);
-
-//! Returns the linear form \p f1 + \p f2 and assigns it to \p e1.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator+=(Linear_Form<C>& f1, const Linear_Form<C>& f2);
-
-//! Returns the linear form \p f + \p v and assigns it to \p f.
-/*! \relates Linear_Form
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Form::max_space_dimension()</CODE>.
- */
-template <typename C>
-Linear_Form<C>&
-operator+=(Linear_Form<C>& f, Variable v);
-
-//! Returns the linear form \p f + \p n and assigns it to \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator+=(Linear_Form<C>& f, const C& n);
-
-//! Returns the linear form \p f1 - \p f2 and assigns it to \p f1.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator-=(Linear_Form<C>& f1, const Linear_Form<C>& f2);
-
-//! Returns the linear form \p f - \p v and assigns it to \p f.
-/*! \relates Linear_Form
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Form::max_space_dimension()</CODE>.
- */
-template <typename C>
-Linear_Form<C>&
-operator-=(Linear_Form<C>& f, Variable v);
-
-//! Returns the linear form \p f - \p n and assigns it to \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator-=(Linear_Form<C>& f, const C& n);
-
-//! Returns the linear form \p n * \p f and assigns it to \p f.
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator*=(Linear_Form<C>& f, const C& n);
-
-//! Returns the linear form \p f / \p n and assigns it to \p f.
-/*!
- \relates Linear_Form
- Performs the division of a linear form by a scalar. It is up to the user to
- ensure that division by 0 is not performed.
-*/
-template <typename C>
-Linear_Form<C>&
-operator/=(Linear_Form<C>& f, const C& n);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-/*! \relates Linear_Form */
-template <typename C>
-bool
-operator==(const Linear_Form<C>& x, const Linear_Form<C>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Linear_Form */
-template <typename C>
-bool
-operator!=(const Linear_Form<C>& x, const Linear_Form<C>& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Linear_Form */
-template <typename C>
-std::ostream& operator<<(std::ostream& s, const Linear_Form<C>& f);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-//! A linear form with interval coefficients.
-/*! \ingroup PPL_CXX_interface
- An object of the class Linear_Form represents the interval linear form
- \f[
- \sum_{i=0}^{n-1} a_i x_i + b
- \f]
- where \f$n\f$ is the dimension of the vector space,
- each \f$a_i\f$ is the coefficient
- of the \f$i\f$-th variable \f$x_i\f$
- and \f$b\f$ is the inhomogeneous term.
- The coefficients and the inhomogeneous term of the linear form
- have the template parameter \p C as their type. \p C must be the
- type of an Interval.
-
- \par How to build a linear form.
- A full set of functions is defined in order to provide a convenient
- interface for building complex linear forms starting from simpler ones
- and from objects of the classes Variable and \p C. Available operators
- include binary addition and subtraction, as well as multiplication and
- division by a coefficient.
- The space dimension of a linear form is defined as
- the highest variable dimension among variables that have a nonzero
- coefficient in the linear form, or zero if no such variable exists.
- The space dimension for each variable \f$x_i\f$ is given by \f$i + 1\f$.
-
- \par Example
- Given the type \p T of an Interval with floating point coefficients (though
- any integral type may also be used), the following code builds the interval
- linear form \f$lf = x_5 - x_2 + 1\f$ with space dimension 6:
- \code
- Variable x5(5);
- Variable x2(2);
- T x5_coefficient;
- x5_coefficient.lower() = 2.0;
- x5_coefficient.upper() = 3.0;
- T inhomogeneous_term;
- inhomogeneous_term.lower() = 4.0;
- inhomogeneous_term.upper() = 8.0;
- Linear_Form<T> lf(x2);
- lf = -lf;
- lf += Linear_Form<T>(x2);
- Linear_Form<T> lf_x5(x5);
- lf_x5 *= x5_coefficient;
- lf += lf_x5;
- \endcode
- Note that \c lf_x5 is created with space dimension 6, while \c lf is
- created with space dimension 0 and then extended first to space
- dimension 2 when \c x2 is subtracted and finally to space dimension
- 6 when \c lf_x5 is added.
-*/
-template <typename C>
-class Parma_Polyhedra_Library::Linear_Form {
-public:
- //! Default constructor: returns a copy of Linear_Form::zero().
- Linear_Form();
-
- //! Ordinary copy constructor.
- Linear_Form(const Linear_Form& f);
-
- //! Destructor.
- ~Linear_Form();
-
- //! Builds the linear form corresponding to the inhomogeneous term \p n.
- explicit Linear_Form(const C& n);
-
- //! Builds the linear form corresponding to the variable \p v.
- /*!
- \exception std::length_error
- Thrown if the space dimension of \p v exceeds
- <CODE>Linear_Form::max_space_dimension()</CODE>.
- */
- Linear_Form(Variable v);
-
- //! Builds a linear form approximating the linear expression \p e.
- Linear_Form(const Linear_Expression& e);
-
- //! Returns the maximum space dimension a Linear_Form can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Returns the coefficient of \p v in \p *this.
- const C& coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- const C& inhomogeneous_term() const;
-
- //! Negates all the coefficients of \p *this.
- void negate();
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Linear_Form& y);
-
- // Floating point analysis related methods.
-
- /*! \brief
- Verifies if the linear form overflows.
-
- \return
- Returns <CODE>false</CODE> if all coefficients in \p lf are bounded,
- <CODE>true</CODE> otherwise.
-
- \p T must be the type of possibly unbounded quantities.
- */
- bool overflows() const;
-
- /*! \brief
- Computes the relative error associated to floating point computations
- that operate on a quantity that is overapproximated by \p *this.
-
- \param analyzed_format The floating point format used by the analyzed
- program.
- \param result Becomes the linear form corresponding to the relative
- error committed.
-
- This method makes <CODE>result</CODE> become a linear form
- obtained by evaluating the function \f$\varepsilon_{\mathbf{f}}(l)\f$
- on the linear form. This function is defined as:
- \f[
- \varepsilon_{\mathbf{f}}\left([a, b]+\sum_{v \in \cV}[a_{v}, b_{v}]v\right)
- \defeq
- (\textrm{max}(|a|, |b|) \amifp [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])
- +
- \sum_{v \in \cV}(\textrm{max}(|a_{v}|,|b_{v}|)
- \amifp
- [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])v
- \f]
- where p is the fraction size in bits for the format \f$\mathbf{f}\f$ and
- \f$\beta\f$ the base.
-
- The result is undefined if \p T is not the type of an interval with
- floating point boundaries.
- */
- void relative_error(Floating_Point_Format analyzed_format,
- Linear_Form& result) const;
-
- /*! \brief
- Makes \p result become an interval that overapproximates all the
- possible values of \p *this.
-
- \param oracle The FP_Oracle to be queried.
- \param result The linear form that will store the result.
-
- \return <CODE>true</CODE> if the operation was successful,
- <CODE>false</CODE> otherwise (the possibility of failure
- depends on the oracle's implementation).
-
- \par Template type parameters
-
- - The class template parameter \p Target specifies the implementation
- of Concrete_Expression to be used.
-
- This method makes <CODE>result</CODE> become
- \f$\iota(lf)\rho^{\#}\f$, that is an interval defined as:
- \f[
- \iota\left(i + \sum_{v \in \cV}i_{v}v\right)\rho^{\#}
- \defeq
- i \asifp \left(\bigoplus_{v \in \cV}{}^{\#}i_{v} \amifp
- \rho^{\#}(v)\right)
- \f]
- where \f$\rho^{\#}(v)\f$ is an interval (provided by the oracle)
- that correctly approximates the value of \f$v\f$.
-
- The result is undefined if \p C is not the type of an interval with
- floating point boundaries.
- */
- template <typename Target>
- bool intervalize(const FP_Oracle<Target,C>& oracle, C& result) const;
-
-private:
- //! The generic coefficient equal to the singleton zero.
- static C zero;
-
- //! Type of the container vector.
- typedef std::vector<C> vec_type;
-
- //! The container vector.
- vec_type vec;
-
- //! Implementation sizing constructor.
- /*!
- The bool parameter is just to avoid problems with
- the constructor Linear_Form(const C& n).
- */
- Linear_Form(dimension_type sz, bool);
-
- /*! \brief
- Builds the linear form corresponding to the difference of
- \p v and \p w.
-
- \exception std::length_error
- Thrown if the space dimension of \p v or the one of \p w exceed
- <CODE>Linear_Form::max_space_dimension()</CODE>.
- */
- Linear_Form(Variable v, Variable w);
-
- //! Gives the number of generic coefficients currently in use.
- dimension_type size() const;
-
- //! Extends the vector of \p *this to size \p sz.
- void extend(dimension_type sz);
-
- //! Returns a reference to \p vec[i].
- C& operator[](dimension_type i);
-
- //! Returns a const reference to \p vec[i].
- const C& operator[](dimension_type i) const;
-
- friend Linear_Form<C>
- operator+<C>(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
- friend Linear_Form<C>
- operator+<C>(const C& n, const Linear_Form<C>& f);
- friend Linear_Form<C>
- operator+<C>(const Linear_Form<C>& f, const C& n);
- friend Linear_Form<C>
- operator+<C>(Variable v, const Linear_Form<C>& f);
-
- friend Linear_Form<C>
- operator-<C>(const Linear_Form<C>& f);
-
- friend Linear_Form<C>
- operator-<C>(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
- friend Linear_Form<C>
- operator-<C>(const C& n, const Linear_Form<C>& f);
- friend Linear_Form<C>
- operator-<C>(const Linear_Form<C>& f, const C& n);
- friend Linear_Form<C>
- operator-<C>(Variable v, const Linear_Form<C>& f);
- friend Linear_Form<C>
- operator-<C>(const Linear_Form<C>& f, Variable v);
-
- friend Linear_Form<C>
- operator*<C>(const C& n, const Linear_Form<C>& f);
- friend Linear_Form<C>
- operator*<C>(const Linear_Form<C>& f, const C& n);
-
- friend Linear_Form<C>&
- operator+=<C>(Linear_Form<C>& f1, const Linear_Form<C>& f2);
- friend Linear_Form<C>&
- operator+=<C>(Linear_Form<C>& f, Variable v);
- friend Linear_Form<C>&
- operator+=<C>(Linear_Form<C>& f, const C& n);
-
- friend Linear_Form<C>&
- operator-=<C>(Linear_Form<C>& f1, const Linear_Form<C>& f2);
- friend Linear_Form<C>&
- operator-=<C>(Linear_Form<C>& f, Variable v);
- friend Linear_Form<C>&
- operator-=<C>(Linear_Form<C>& f, const C& n);
-
- friend Linear_Form<C>&
- operator*=<C>(Linear_Form<C>& f, const C& n);
-
- friend Linear_Form<C>&
- operator/=<C>(Linear_Form<C>& f, const C& n);
-
- friend bool
- operator==<C>(const Linear_Form<C>& x, const Linear_Form<C>& y);
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators
- ::operator<<<C>(std::ostream& s, const Linear_Form<C>& f);
-};
-
-#include "Linear_Form.inlines.hh"
-// Linear_Form.templates.hh is not included here on purpose.
-
-#endif // !defined(PPL_Linear_Form_defs_hh)
diff --git a/src/Linear_Form.inlines.hh b/src/Linear_Form.inlines.hh
deleted file mode 100644
index de26a74..0000000
--- a/src/Linear_Form.inlines.hh
+++ /dev/null
@@ -1,252 +0,0 @@
-/* Linear_Form class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Form_inlines_hh
-#define PPL_Linear_Form_inlines_hh 1
-
-#include "Variable.defs.hh"
-#include <iostream>
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename C>
-inline dimension_type
-Linear_Form<C>::max_space_dimension() {
- return vec_type().max_size() - 1;
-}
-
-template <typename C>
-inline
-Linear_Form<C>::Linear_Form()
- : vec(1, zero) {
- vec.reserve(compute_capacity(1, vec_type().max_size()));
-}
-
-template <typename C>
-inline
-Linear_Form<C>::Linear_Form(dimension_type sz, bool)
- : vec(sz, zero) {
- vec.reserve(compute_capacity(sz, vec_type().max_size()));
-}
-
-template <typename C>
-inline
-Linear_Form<C>::Linear_Form(const Linear_Form& f)
- : vec(f.vec) {
-}
-
-template <typename C>
-inline
-Linear_Form<C>::~Linear_Form() {
-}
-
-template <typename C>
-inline dimension_type
-Linear_Form<C>::size() const {
- return vec.size();
-}
-
-template <typename C>
-inline void
-Linear_Form<C>::extend(dimension_type sz) {
- assert(sz > size());
- vec.reserve(compute_capacity(sz, vec_type().max_size()));
- vec.resize(sz, zero);
-}
-
-template <typename C>
-inline
-Linear_Form<C>::Linear_Form(const C& n)
- : vec(1, n) {
- vec.reserve(compute_capacity(1, vec_type().max_size()));
-}
-
-template <typename C>
-inline dimension_type
-Linear_Form<C>::space_dimension() const {
- return size() - 1;
-}
-
-template <typename C>
-inline const C&
-Linear_Form<C>::coefficient(Variable v) const {
- if (v.space_dimension() > space_dimension())
- return zero;
- return vec[v.id()+1];
-}
-
-template <typename C>
-inline C&
-Linear_Form<C>::operator[](dimension_type i) {
- assert(i < size());
- return vec[i];
-}
-
-template <typename C>
-inline const C&
-Linear_Form<C>::operator[](dimension_type i) const {
- assert(i < size());
- return vec[i];
-}
-
-template <typename C>
-inline const C&
-Linear_Form<C>::inhomogeneous_term() const {
- return vec[0];
-}
-
-template <typename C>
-inline memory_size_type
-Linear_Form<C>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>
-operator+(const Linear_Form<C>& f) {
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>
-operator+(const Linear_Form<C>& f, const C& n) {
- return n + f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>
-operator+(const Linear_Form<C>& f, const Variable v) {
- return v + f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>
-operator-(const Linear_Form<C>& f, const C& n) {
- return -n + f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>
-operator-(const Variable v, const Variable w) {
- return Linear_Form<C>(v, w);
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>
-operator*(const Linear_Form<C>& f, const C& n) {
- return n * f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>&
-operator+=(Linear_Form<C>& f, const C& n) {
- f[0] += n;
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline Linear_Form<C>&
-operator-=(Linear_Form<C>& f, const C& n) {
- f[0] -= n;
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline bool
-operator!=(const Linear_Form<C>& x, const Linear_Form<C>& y) {
- return !(x == y);
-}
-
-template <typename C>
-inline void
-Linear_Form<C>::m_swap(Linear_Form& y) {
- using std::swap;
- swap(vec, y.vec);
-}
-
-template <typename C>
-inline void
-Linear_Form<C>::ascii_dump(std::ostream& s) const {
- using namespace IO_Operators;
- dimension_type space_dim = space_dimension();
- s << space_dim << "\n";
- for (dimension_type i = 0; i <= space_dim; ++i) {
- const char separator = ' ';
- s << vec[i] << separator;
- }
- s << "\n";
-}
-
-template <typename C>
-inline bool
-Linear_Form<C>::ascii_load(std::istream& s) {
- using namespace IO_Operators;
- dimension_type new_dim;
- if (!(s >> new_dim))
- return false;
-
- vec.resize(new_dim + 1, zero);
- for (dimension_type i = 0; i <= new_dim; ++i) {
- if (!(s >> vec[i]))
- return false;
- }
-
- PPL_ASSERT(OK());
- return true;
-}
-
-// Floating point analysis related methods.
-template <typename C>
-inline bool
-Linear_Form<C>::overflows() const {
- if (!inhomogeneous_term().is_bounded())
- return true;
-
- for (dimension_type i = space_dimension(); i-- > 0; ) {
- if (!coefficient(Variable(i)).is_bounded())
- return true;
- }
-
- return false;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline void
-swap(Linear_Form<C>& x, Linear_Form<C>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Form_inlines_hh)
diff --git a/src/Linear_Form.templates.hh b/src/Linear_Form.templates.hh
deleted file mode 100644
index a05e665..0000000
--- a/src/Linear_Form.templates.hh
+++ /dev/null
@@ -1,527 +0,0 @@
-/* Linear_Form class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_Form_templates_hh
-#define PPL_Linear_Form_templates_hh 1
-
-#include "Linear_Form.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Box.defs.hh"
-#include <stdexcept>
-#include <iostream>
-#include <cmath>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename C>
-Linear_Form<C>::Linear_Form(const Variable v)
- : vec() {
- const dimension_type space_dim = v.space_dimension();
- if (space_dim > max_space_dimension())
- throw std::length_error("Linear_Form<C>::"
- "Linear_Form(v):\n"
- "v exceeds the maximum allowed "
- "space dimension.");
- vec.reserve(compute_capacity(space_dim+1, vec_type().max_size()));
- vec.resize(space_dim+1, zero);
- vec[v.space_dimension()] = C(typename C::boundary_type(1));
-}
-
-template <typename C>
-Linear_Form<C>::Linear_Form(const Variable v, const Variable w)
- : vec() {
- const dimension_type v_space_dim = v.space_dimension();
- const dimension_type w_space_dim = w.space_dimension();
- const dimension_type space_dim = std::max(v_space_dim, w_space_dim);
- if (space_dim > max_space_dimension())
- throw std::length_error("Linear_Form<C>::"
- "Linear_Form(v, w):\n"
- "v or w exceed the maximum allowed "
- "space dimension.");
- vec.reserve(compute_capacity(space_dim+1, vec_type().max_size()));
- vec.resize(space_dim+1, zero);
- if (v_space_dim != w_space_dim) {
- vec[v_space_dim] = C(typename C::boundary_type(1));
- vec[w_space_dim] = C(typename C::boundary_type(-1));
- }
-}
-
-template <typename C>
-Linear_Form<C>::Linear_Form(const Linear_Expression& e)
- : vec() {
- const dimension_type space_dim = e.space_dimension();
- if (space_dim > max_space_dimension())
- throw std::length_error("Linear_Form<C>::"
- "Linear_Form(e):\n"
- "e exceeds the maximum allowed "
- "space dimension.");
- vec.reserve(compute_capacity(space_dim+1, vec_type().max_size()));
- vec.resize(space_dim+1);
- for (dimension_type i = space_dim; i-- > 0; )
- vec[i+1] = e.coefficient(Variable(i));
- vec[0] = e.inhomogeneous_term();
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const Linear_Form<C>& f1, const Linear_Form<C>& f2) {
- dimension_type f1_size = f1.size();
- dimension_type f2_size = f2.size();
- dimension_type min_size;
- dimension_type max_size;
- const Linear_Form<C>* p_e_max;
- if (f1_size > f2_size) {
- min_size = f2_size;
- max_size = f1_size;
- p_e_max = &f1;
- }
- else {
- min_size = f1_size;
- max_size = f2_size;
- p_e_max = &f2;
- }
-
- Linear_Form<C> r(max_size, false);
- dimension_type i = max_size;
- while (i > min_size) {
- --i;
- r[i] = p_e_max->vec[i];
- }
- while (i > 0) {
- --i;
- r[i] = f1[i];
- r[i] += f2[i];
- }
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const Variable v, const Linear_Form<C>& f) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Form<C>::max_space_dimension())
- throw std::length_error("Linear_Form "
- "operator+(v, f):\n"
- "v exceeds the maximum allowed "
- "space dimension.");
- Linear_Form<C> r(f);
- if (v_space_dim > f.space_dimension())
- r.extend(v_space_dim+1);
- r[v_space_dim] += C(typename C::boundary_type(1));
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator+(const C& n, const Linear_Form<C>& f) {
- Linear_Form<C> r(f);
- r[0] += n;
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f) {
- Linear_Form<C> r(f);
- for (dimension_type i = f.size(); i-- > 0; )
- r[i].neg_assign(r[i]);
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f1, const Linear_Form<C>& f2) {
- dimension_type f1_size = f1.size();
- dimension_type f2_size = f2.size();
- if (f1_size > f2_size) {
- Linear_Form<C> r(f1_size, false);
- dimension_type i = f1_size;
- while (i > f2_size) {
- --i;
- r[i] = f1[i];
- }
- while (i > 0) {
- --i;
- r[i] = f1[i];
- r[i] -= f2[i];
- }
- return r;
- }
- else {
- Linear_Form<C> r(f2_size, false);
- dimension_type i = f2_size;
- while (i > f1_size) {
- --i;
- r[i].neg_assign(f2[i]);
- }
- while (i > 0) {
- --i;
- r[i] = f1[i];
- r[i] -= f2[i];
- }
- return r;
- }
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Variable v, const Linear_Form<C>& f) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Form<C>::max_space_dimension())
- throw std::length_error("Linear_Form "
- "operator-(v, e):\n"
- "v exceeds the maximum allowed "
- "space dimension.");
- Linear_Form<C> r(f);
- if (v_space_dim > f.space_dimension())
- r.extend(v_space_dim+1);
- for (dimension_type i = f.size(); i-- > 0; )
- r[i].neg_assign(r[i]);
- r[v_space_dim] += C(typename C::boundary_type(1));
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const Linear_Form<C>& f, const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Form<C>::max_space_dimension())
- throw std::length_error("Linear_Form "
- "operator-(e, v):\n"
- "v exceeds the maximum allowed "
- "space dimension.");
- Linear_Form<C> r(f);
- if (v_space_dim > f.space_dimension())
- r.extend(v_space_dim+1);
- r[v_space_dim] -= C(typename C::boundary_type(1));
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator-(const C& n, const Linear_Form<C>& f) {
- Linear_Form<C> r(f);
- for (dimension_type i = f.size(); i-- > 0; )
- r[i].neg_assign(r[i]);
- r[0] += n;
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>
-operator*(const C& n, const Linear_Form<C>& f) {
- Linear_Form<C> r(f);
- for (dimension_type i = f.size(); i-- > 0; )
- r[i] *= n;
- return r;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator+=(Linear_Form<C>& f1, const Linear_Form<C>& f2) {
- dimension_type f1_size = f1.size();
- dimension_type f2_size = f2.size();
- if (f1_size < f2_size)
- f1.extend(f2_size);
- for (dimension_type i = f2_size; i-- > 0; )
- f1[i] += f2[i];
- return f1;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator+=(Linear_Form<C>& f, const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Form<C>::max_space_dimension())
- throw std::length_error("Linear_Form<C>& "
- "operator+=(e, v):\n"
- "v exceeds the maximum allowed space dimension.");
- if (v_space_dim > f.space_dimension())
- f.extend(v_space_dim+1);
- f[v_space_dim] += C(typename C::boundary_type(1));
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator-=(Linear_Form<C>& f1, const Linear_Form<C>& f2) {
- dimension_type f1_size = f1.size();
- dimension_type f2_size = f2.size();
- if (f1_size < f2_size)
- f1.extend(f2_size);
- for (dimension_type i = f2_size; i-- > 0; )
- f1[i] -= f2[i];
- return f1;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator-=(Linear_Form<C>& f, const Variable v) {
- const dimension_type v_space_dim = v.space_dimension();
- if (v_space_dim > Linear_Form<C>::max_space_dimension())
- throw std::length_error("Linear_Form<C>& "
- "operator-=(e, v):\n"
- "v exceeds the maximum allowed space dimension.");
- if (v_space_dim > f.space_dimension())
- f.extend(v_space_dim+1);
- f[v_space_dim] -= C(typename C::boundary_type(1));
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator*=(Linear_Form<C>& f, const C& n) {
- dimension_type f_size = f.size();
- for (dimension_type i = f_size; i-- > 0; )
- f[i] *= n;
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-Linear_Form<C>&
-operator/=(Linear_Form<C>& f, const C& n) {
- dimension_type f_size = f.size();
- for (dimension_type i = f_size; i-- > 0; )
- f[i] /= n;
- return f;
-}
-
-/*! \relates Linear_Form */
-template <typename C>
-inline bool
-operator==(const Linear_Form<C>& x, const Linear_Form<C>& y) {
- const dimension_type x_size = x.size();
- const dimension_type y_size = y.size();
- if (x_size >= y_size) {
- for (dimension_type i = y_size; i-- > 0; )
- if (x[i] != y[i])
- return false;
-
- for (dimension_type i = x_size; --i >= y_size; )
- if (x[i] != x.zero)
- return false;
-
- }
- else {
- for (dimension_type i = x_size; i-- > 0; )
- if (x[i] != y[i])
- return false;
-
- for (dimension_type i = y_size; --i >= x_size; )
- if (y[i] != x.zero)
- return false;
-
- }
-
- return true;
-}
-
-template <typename C>
-void
-Linear_Form<C>::negate() {
- for (dimension_type i = vec.size(); i-- > 0; )
- vec[i].neg_assign(vec[i]);
- return;
-}
-
-template <typename C>
-inline memory_size_type
-Linear_Form<C>::external_memory_in_bytes() const {
- memory_size_type n = 0;
- for (dimension_type i = size(); i-- > 0; )
- n += vec[i].external_memory_in_bytes();
- n += vec.capacity()*sizeof(C);
- return n;
-}
-
-template <typename C>
-bool
-Linear_Form<C>::OK() const {
- for (dimension_type i = size(); i-- > 0; )
- if (!vec[i].OK())
- return false;
- return true;
-}
-
-// Floating point analysis related methods.
-template <typename C>
-void
-Linear_Form<C>::relative_error(
- const Floating_Point_Format analyzed_format,
- Linear_Form& result) const {
- typedef typename C::boundary_type analyzer_format;
-
- // Get the necessary information on the analyzed's format.
- unsigned int f_base;
- unsigned int f_mantissa_bits;
- switch (analyzed_format) {
- case IEEE754_HALF:
- f_base = float_ieee754_half::BASE;
- f_mantissa_bits = float_ieee754_half::MANTISSA_BITS;
- break;
- case IEEE754_SINGLE:
- f_base = float_ieee754_single::BASE;
- f_mantissa_bits = float_ieee754_single::MANTISSA_BITS;
- break;
- case IEEE754_DOUBLE:
- f_base = float_ieee754_double::BASE;
- f_mantissa_bits = float_ieee754_double::MANTISSA_BITS;
- break;
- case IBM_SINGLE:
- f_base = float_ibm_single::BASE;
- f_mantissa_bits = float_ibm_single::MANTISSA_BITS;
- break;
- case IEEE754_QUAD:
- f_base = float_ieee754_quad::BASE;
- f_mantissa_bits = float_ieee754_quad::MANTISSA_BITS;
- break;
- case INTEL_DOUBLE_EXTENDED:
- f_base = float_intel_double_extended::BASE;
- f_mantissa_bits = float_intel_double_extended::MANTISSA_BITS;
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
-
- C error_propagator;
- // We assume that f_base is a power of 2.
- unsigned int u_power = msb_position(f_base) * f_mantissa_bits;
- int neg_power = -static_cast<int>(u_power);
- analyzer_format lb = static_cast<analyzer_format>(ldexp(1.0, neg_power));
-
- error_propagator.build(i_constraint(GREATER_OR_EQUAL, -lb),
- i_constraint(LESS_OR_EQUAL, lb));
-
- // Handle the inhomogeneous term.
- const C* current_term = &inhomogeneous_term();
- assert(current_term->is_bounded());
-
- C current_multiplier(std::max(std::abs(current_term->lower()),
- std::abs(current_term->upper())));
- Linear_Form current_result_term(current_multiplier);
- current_result_term *= error_propagator;
- result = Linear_Form(current_result_term);
-
- // Handle the other terms.
- dimension_type dimension = space_dimension();
- for (dimension_type i = 0; i < dimension; ++i) {
- current_term = &coefficient(Variable(i));
- assert(current_term->is_bounded());
- current_multiplier = C(std::max(std::abs(current_term->lower()),
- std::abs(current_term->upper())));
- current_result_term = Linear_Form(Variable(i));
- current_result_term *= current_multiplier;
- current_result_term *= error_propagator;
- result += current_result_term;
- }
-
- return;
-}
-
-template <typename C>
-template <typename Target>
-bool
-Linear_Form<C>::intervalize(const FP_Oracle<Target,C>& oracle,
- C& result) const {
- result = C(inhomogeneous_term());
- dimension_type dimension = space_dimension();
- for (dimension_type i = 0; i < dimension; ++i) {
- C current_addend = coefficient(Variable(i));
- C curr_int;
- if (!oracle.get_interval(i, curr_int))
- return false;
- current_addend *= curr_int;
- result += current_addend;
- }
-
- return true;
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_Form */
-template <typename C>
-std::ostream&
-IO_Operators::operator<<(std::ostream& s, const Linear_Form<C>& f) {
- const dimension_type num_variables = f.space_dimension();
- bool first = true;
- for (dimension_type v = 0; v < num_variables; ++v) {
- const C& fv = f[v+1];
- if (fv != typename C::boundary_type(0)) {
- if (first) {
- if (fv == typename C::boundary_type(-1))
- s << "-";
- else if (fv != typename C::boundary_type(1))
- s << fv << "*";
- first = false;
- }
- else {
- if (fv == typename C::boundary_type(-1))
- s << " - ";
- else {
- s << " + ";
- if (fv != typename C::boundary_type(1))
- s << fv << "*";
- }
- }
- s << Variable(v);
- }
- }
- // Inhomogeneous term.
- const C& it = f[0];
- if (it != 0) {
- if (!first)
- s << " + ";
- else
- first = false;
- s << it;
- }
-
- if (first)
- // The null linear form.
- s << Linear_Form<C>::zero;
- return s;
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(C, Linear_Form<C>)
-
-template <typename C>
-C Linear_Form<C>::zero(typename C::boundary_type(0));
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Form_templates_hh)
diff --git a/src/Linear_Form.types.hh b/src/Linear_Form.types.hh
deleted file mode 100644
index f0200e0..0000000
--- a/src/Linear_Form.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Linear_Form_types_hh
-#define PPL_Linear_Form_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename C>
-class Linear_Form;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_Form_types_hh)
diff --git a/src/Linear_Form_defs.hh b/src/Linear_Form_defs.hh
new file mode 100644
index 0000000..57d75c7
--- /dev/null
+++ b/src/Linear_Form_defs.hh
@@ -0,0 +1,499 @@
+/* Linear_Form class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Form_defs_hh
+#define PPL_Linear_Form_defs_hh 1
+
+#include "Linear_Form_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Variable_defs.hh"
+#include "Box_types.hh"
+#include "Float_defs.hh"
+#include <vector>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Linear_Form */
+template <typename C>
+void swap(Linear_Form<C>& x, Linear_Form<C>& y);
+
+// Put them in the namespace here to declare them friend later.
+
+//! Returns the linear form \p f1 + \p f2.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
+
+//! Returns the linear form \p v + \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(Variable v, const Linear_Form<C>& f);
+
+//! Returns the linear form \p f + \p v.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const Linear_Form<C>& f, Variable v);
+
+//! Returns the linear form \p n + \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const C& n, const Linear_Form<C>& f);
+
+//! Returns the linear form \p f + \p n.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const Linear_Form<C>& f, const C& n);
+
+//! Returns the linear form \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const Linear_Form<C>& f);
+
+//! Returns the linear form - \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f);
+
+//! Returns the linear form \p f1 - \p f2.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
+
+//! Returns the linear form \p v - \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(Variable v, const Linear_Form<C>& f);
+
+//! Returns the linear form \p f - \p v.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f, Variable v);
+
+//! Returns the linear form \p n - \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const C& n, const Linear_Form<C>& f);
+
+//! Returns the linear form \p f - \p n.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f, const C& n);
+
+//! Returns the linear form \p n * \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator*(const C& n, const Linear_Form<C>& f);
+
+//! Returns the linear form \p f * \p n.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator*(const Linear_Form<C>& f, const C& n);
+
+//! Returns the linear form \p f1 + \p f2 and assigns it to \p e1.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator+=(Linear_Form<C>& f1, const Linear_Form<C>& f2);
+
+//! Returns the linear form \p f + \p v and assigns it to \p f.
+/*! \relates Linear_Form
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Form::max_space_dimension()</CODE>.
+ */
+template <typename C>
+Linear_Form<C>&
+operator+=(Linear_Form<C>& f, Variable v);
+
+//! Returns the linear form \p f + \p n and assigns it to \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator+=(Linear_Form<C>& f, const C& n);
+
+//! Returns the linear form \p f1 - \p f2 and assigns it to \p f1.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator-=(Linear_Form<C>& f1, const Linear_Form<C>& f2);
+
+//! Returns the linear form \p f - \p v and assigns it to \p f.
+/*! \relates Linear_Form
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Form::max_space_dimension()</CODE>.
+ */
+template <typename C>
+Linear_Form<C>&
+operator-=(Linear_Form<C>& f, Variable v);
+
+//! Returns the linear form \p f - \p n and assigns it to \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator-=(Linear_Form<C>& f, const C& n);
+
+//! Returns the linear form \p n * \p f and assigns it to \p f.
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator*=(Linear_Form<C>& f, const C& n);
+
+//! Returns the linear form \p f / \p n and assigns it to \p f.
+/*!
+ \relates Linear_Form
+ Performs the division of a linear form by a scalar. It is up to the user to
+ ensure that division by 0 is not performed.
+*/
+template <typename C>
+Linear_Form<C>&
+operator/=(Linear_Form<C>& f, const C& n);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+/*! \relates Linear_Form */
+template <typename C>
+bool
+operator==(const Linear_Form<C>& x, const Linear_Form<C>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Linear_Form */
+template <typename C>
+bool
+operator!=(const Linear_Form<C>& x, const Linear_Form<C>& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Linear_Form */
+template <typename C>
+std::ostream& operator<<(std::ostream& s, const Linear_Form<C>& f);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+//! A linear form with interval coefficients.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Linear_Form represents the interval linear form
+ \f[
+ \sum_{i=0}^{n-1} a_i x_i + b
+ \f]
+ where \f$n\f$ is the dimension of the vector space,
+ each \f$a_i\f$ is the coefficient
+ of the \f$i\f$-th variable \f$x_i\f$
+ and \f$b\f$ is the inhomogeneous term.
+ The coefficients and the inhomogeneous term of the linear form
+ have the template parameter \p C as their type. \p C must be the
+ type of an Interval.
+
+ \par How to build a linear form.
+ A full set of functions is defined in order to provide a convenient
+ interface for building complex linear forms starting from simpler ones
+ and from objects of the classes Variable and \p C. Available operators
+ include binary addition and subtraction, as well as multiplication and
+ division by a coefficient.
+ The space dimension of a linear form is defined as
+ the highest variable dimension among variables that have a nonzero
+ coefficient in the linear form, or zero if no such variable exists.
+ The space dimension for each variable \f$x_i\f$ is given by \f$i + 1\f$.
+
+ \par Example
+ Given the type \p T of an Interval with floating point coefficients (though
+ any integral type may also be used), the following code builds the interval
+ linear form \f$lf = x_5 - x_2 + 1\f$ with space dimension 6:
+ \code
+ Variable x5(5);
+ Variable x2(2);
+ T x5_coefficient;
+ x5_coefficient.lower() = 2.0;
+ x5_coefficient.upper() = 3.0;
+ T inhomogeneous_term;
+ inhomogeneous_term.lower() = 4.0;
+ inhomogeneous_term.upper() = 8.0;
+ Linear_Form<T> lf(x2);
+ lf = -lf;
+ lf += Linear_Form<T>(x2);
+ Linear_Form<T> lf_x5(x5);
+ lf_x5 *= x5_coefficient;
+ lf += lf_x5;
+ \endcode
+ Note that \c lf_x5 is created with space dimension 6, while \c lf is
+ created with space dimension 0 and then extended first to space
+ dimension 2 when \c x2 is subtracted and finally to space dimension
+ 6 when \c lf_x5 is added.
+*/
+template <typename C>
+class Parma_Polyhedra_Library::Linear_Form {
+public:
+ //! Default constructor: returns a copy of Linear_Form::zero().
+ Linear_Form();
+
+ //! Ordinary copy constructor.
+ Linear_Form(const Linear_Form& f);
+
+ //! Destructor.
+ ~Linear_Form();
+
+ //! Builds the linear form corresponding to the inhomogeneous term \p n.
+ explicit Linear_Form(const C& n);
+
+ //! Builds the linear form corresponding to the variable \p v.
+ /*!
+ \exception std::length_error
+ Thrown if the space dimension of \p v exceeds
+ <CODE>Linear_Form::max_space_dimension()</CODE>.
+ */
+ Linear_Form(Variable v);
+
+ //! Builds a linear form approximating the linear expression \p e.
+ Linear_Form(const Linear_Expression& e);
+
+ //! Returns the maximum space dimension a Linear_Form can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ const C& coefficient(Variable v) const;
+
+ //! Returns the inhomogeneous term of \p *this.
+ const C& inhomogeneous_term() const;
+
+ //! Negates all the coefficients of \p *this.
+ void negate();
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Linear_Form& y);
+
+ // Floating point analysis related methods.
+
+ /*! \brief
+ Verifies if the linear form overflows.
+
+ \return
+ Returns <CODE>false</CODE> if all coefficients in \p lf are bounded,
+ <CODE>true</CODE> otherwise.
+
+ \p T must be the type of possibly unbounded quantities.
+ */
+ bool overflows() const;
+
+ /*! \brief
+ Computes the relative error associated to floating point computations
+ that operate on a quantity that is overapproximated by \p *this.
+
+ \param analyzed_format The floating point format used by the analyzed
+ program.
+ \param result Becomes the linear form corresponding to the relative
+ error committed.
+
+ This method makes <CODE>result</CODE> become a linear form
+ obtained by evaluating the function \f$\varepsilon_{\mathbf{f}}(l)\f$
+ on the linear form. This function is defined as:
+ \f[
+ \varepsilon_{\mathbf{f}}\left([a, b]+\sum_{v \in \cV}[a_{v}, b_{v}]v\right)
+ \defeq
+ (\textrm{max}(|a|, |b|) \amifp [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])
+ +
+ \sum_{v \in \cV}(\textrm{max}(|a_{v}|,|b_{v}|)
+ \amifp
+ [-\beta^{-\textrm{p}}, \beta^{-\textrm{p}}])v
+ \f]
+ where p is the fraction size in bits for the format \f$\mathbf{f}\f$ and
+ \f$\beta\f$ the base.
+
+ The result is undefined if \p T is not the type of an interval with
+ floating point boundaries.
+ */
+ void relative_error(Floating_Point_Format analyzed_format,
+ Linear_Form& result) const;
+
+ /*! \brief
+ Makes \p result become an interval that overapproximates all the
+ possible values of \p *this.
+
+ \param oracle The FP_Oracle to be queried.
+ \param result The linear form that will store the result.
+
+ \return <CODE>true</CODE> if the operation was successful,
+ <CODE>false</CODE> otherwise (the possibility of failure
+ depends on the oracle's implementation).
+
+ \par Template type parameters
+
+ - The class template parameter \p Target specifies the implementation
+ of Concrete_Expression to be used.
+
+ This method makes <CODE>result</CODE> become
+ \f$\iota(lf)\rho^{\#}\f$, that is an interval defined as:
+ \f[
+ \iota\left(i + \sum_{v \in \cV}i_{v}v\right)\rho^{\#}
+ \defeq
+ i \asifp \left(\bigoplus_{v \in \cV}{}^{\#}i_{v} \amifp
+ \rho^{\#}(v)\right)
+ \f]
+ where \f$\rho^{\#}(v)\f$ is an interval (provided by the oracle)
+ that correctly approximates the value of \f$v\f$.
+
+ The result is undefined if \p C is not the type of an interval with
+ floating point boundaries.
+ */
+ template <typename Target>
+ bool intervalize(const FP_Oracle<Target,C>& oracle, C& result) const;
+
+private:
+ //! The generic coefficient equal to the singleton zero.
+ static C zero;
+
+ //! Type of the container vector.
+ typedef std::vector<C> vec_type;
+
+ //! The container vector.
+ vec_type vec;
+
+ //! Implementation sizing constructor.
+ /*!
+ The bool parameter is just to avoid problems with
+ the constructor Linear_Form(const C& n).
+ */
+ Linear_Form(dimension_type sz, bool);
+
+ /*! \brief
+ Builds the linear form corresponding to the difference of
+ \p v and \p w.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p v or the one of \p w exceed
+ <CODE>Linear_Form::max_space_dimension()</CODE>.
+ */
+ Linear_Form(Variable v, Variable w);
+
+ //! Gives the number of generic coefficients currently in use.
+ dimension_type size() const;
+
+ //! Extends the vector of \p *this to size \p sz.
+ void extend(dimension_type sz);
+
+ //! Returns a reference to \p vec[i].
+ C& operator[](dimension_type i);
+
+ //! Returns a const reference to \p vec[i].
+ const C& operator[](dimension_type i) const;
+
+ friend Linear_Form<C>
+ operator+<C>(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
+ friend Linear_Form<C>
+ operator+<C>(const C& n, const Linear_Form<C>& f);
+ friend Linear_Form<C>
+ operator+<C>(const Linear_Form<C>& f, const C& n);
+ friend Linear_Form<C>
+ operator+<C>(Variable v, const Linear_Form<C>& f);
+
+ friend Linear_Form<C>
+ operator-<C>(const Linear_Form<C>& f);
+
+ friend Linear_Form<C>
+ operator-<C>(const Linear_Form<C>& f1, const Linear_Form<C>& f2);
+ friend Linear_Form<C>
+ operator-<C>(const C& n, const Linear_Form<C>& f);
+ friend Linear_Form<C>
+ operator-<C>(const Linear_Form<C>& f, const C& n);
+ friend Linear_Form<C>
+ operator-<C>(Variable v, const Linear_Form<C>& f);
+ friend Linear_Form<C>
+ operator-<C>(const Linear_Form<C>& f, Variable v);
+
+ friend Linear_Form<C>
+ operator*<C>(const C& n, const Linear_Form<C>& f);
+ friend Linear_Form<C>
+ operator*<C>(const Linear_Form<C>& f, const C& n);
+
+ friend Linear_Form<C>&
+ operator+=<C>(Linear_Form<C>& f1, const Linear_Form<C>& f2);
+ friend Linear_Form<C>&
+ operator+=<C>(Linear_Form<C>& f, Variable v);
+ friend Linear_Form<C>&
+ operator+=<C>(Linear_Form<C>& f, const C& n);
+
+ friend Linear_Form<C>&
+ operator-=<C>(Linear_Form<C>& f1, const Linear_Form<C>& f2);
+ friend Linear_Form<C>&
+ operator-=<C>(Linear_Form<C>& f, Variable v);
+ friend Linear_Form<C>&
+ operator-=<C>(Linear_Form<C>& f, const C& n);
+
+ friend Linear_Form<C>&
+ operator*=<C>(Linear_Form<C>& f, const C& n);
+
+ friend Linear_Form<C>&
+ operator/=<C>(Linear_Form<C>& f, const C& n);
+
+ friend bool
+ operator==<C>(const Linear_Form<C>& x, const Linear_Form<C>& y);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators
+ ::operator<<<C>(std::ostream& s, const Linear_Form<C>& f);
+};
+
+#include "Linear_Form_inlines.hh"
+// Linear_Form_templates.hh is not included here on purpose.
+
+#endif // !defined(PPL_Linear_Form_defs_hh)
diff --git a/src/Linear_Form_inlines.hh b/src/Linear_Form_inlines.hh
new file mode 100644
index 0000000..2ab24b1
--- /dev/null
+++ b/src/Linear_Form_inlines.hh
@@ -0,0 +1,252 @@
+/* Linear_Form class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Form_inlines_hh
+#define PPL_Linear_Form_inlines_hh 1
+
+#include "Variable_defs.hh"
+#include <iostream>
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename C>
+inline dimension_type
+Linear_Form<C>::max_space_dimension() {
+ return vec_type().max_size() - 1;
+}
+
+template <typename C>
+inline
+Linear_Form<C>::Linear_Form()
+ : vec(1, zero) {
+ vec.reserve(compute_capacity(1, vec_type().max_size()));
+}
+
+template <typename C>
+inline
+Linear_Form<C>::Linear_Form(dimension_type sz, bool)
+ : vec(sz, zero) {
+ vec.reserve(compute_capacity(sz, vec_type().max_size()));
+}
+
+template <typename C>
+inline
+Linear_Form<C>::Linear_Form(const Linear_Form& f)
+ : vec(f.vec) {
+}
+
+template <typename C>
+inline
+Linear_Form<C>::~Linear_Form() {
+}
+
+template <typename C>
+inline dimension_type
+Linear_Form<C>::size() const {
+ return vec.size();
+}
+
+template <typename C>
+inline void
+Linear_Form<C>::extend(dimension_type sz) {
+ assert(sz > size());
+ vec.reserve(compute_capacity(sz, vec_type().max_size()));
+ vec.resize(sz, zero);
+}
+
+template <typename C>
+inline
+Linear_Form<C>::Linear_Form(const C& n)
+ : vec(1, n) {
+ vec.reserve(compute_capacity(1, vec_type().max_size()));
+}
+
+template <typename C>
+inline dimension_type
+Linear_Form<C>::space_dimension() const {
+ return size() - 1;
+}
+
+template <typename C>
+inline const C&
+Linear_Form<C>::coefficient(Variable v) const {
+ if (v.space_dimension() > space_dimension())
+ return zero;
+ return vec[v.id()+1];
+}
+
+template <typename C>
+inline C&
+Linear_Form<C>::operator[](dimension_type i) {
+ assert(i < size());
+ return vec[i];
+}
+
+template <typename C>
+inline const C&
+Linear_Form<C>::operator[](dimension_type i) const {
+ assert(i < size());
+ return vec[i];
+}
+
+template <typename C>
+inline const C&
+Linear_Form<C>::inhomogeneous_term() const {
+ return vec[0];
+}
+
+template <typename C>
+inline memory_size_type
+Linear_Form<C>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>
+operator+(const Linear_Form<C>& f) {
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>
+operator+(const Linear_Form<C>& f, const C& n) {
+ return n + f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>
+operator+(const Linear_Form<C>& f, const Variable v) {
+ return v + f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>
+operator-(const Linear_Form<C>& f, const C& n) {
+ return -n + f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>
+operator-(const Variable v, const Variable w) {
+ return Linear_Form<C>(v, w);
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>
+operator*(const Linear_Form<C>& f, const C& n) {
+ return n * f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>&
+operator+=(Linear_Form<C>& f, const C& n) {
+ f[0] += n;
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline Linear_Form<C>&
+operator-=(Linear_Form<C>& f, const C& n) {
+ f[0] -= n;
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline bool
+operator!=(const Linear_Form<C>& x, const Linear_Form<C>& y) {
+ return !(x == y);
+}
+
+template <typename C>
+inline void
+Linear_Form<C>::m_swap(Linear_Form& y) {
+ using std::swap;
+ swap(vec, y.vec);
+}
+
+template <typename C>
+inline void
+Linear_Form<C>::ascii_dump(std::ostream& s) const {
+ using namespace IO_Operators;
+ dimension_type space_dim = space_dimension();
+ s << space_dim << "\n";
+ for (dimension_type i = 0; i <= space_dim; ++i) {
+ const char separator = ' ';
+ s << vec[i] << separator;
+ }
+ s << "\n";
+}
+
+template <typename C>
+inline bool
+Linear_Form<C>::ascii_load(std::istream& s) {
+ using namespace IO_Operators;
+ dimension_type new_dim;
+ if (!(s >> new_dim))
+ return false;
+
+ vec.resize(new_dim + 1, zero);
+ for (dimension_type i = 0; i <= new_dim; ++i) {
+ if (!(s >> vec[i]))
+ return false;
+ }
+
+ PPL_ASSERT(OK());
+ return true;
+}
+
+// Floating point analysis related methods.
+template <typename C>
+inline bool
+Linear_Form<C>::overflows() const {
+ if (!inhomogeneous_term().is_bounded())
+ return true;
+
+ for (dimension_type i = space_dimension(); i-- > 0; ) {
+ if (!coefficient(Variable(i)).is_bounded())
+ return true;
+ }
+
+ return false;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline void
+swap(Linear_Form<C>& x, Linear_Form<C>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Form_inlines_hh)
diff --git a/src/Linear_Form_templates.hh b/src/Linear_Form_templates.hh
new file mode 100644
index 0000000..724b89f
--- /dev/null
+++ b/src/Linear_Form_templates.hh
@@ -0,0 +1,527 @@
+/* Linear_Form class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_Form_templates_hh
+#define PPL_Linear_Form_templates_hh 1
+
+#include "Linear_Form_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Box_defs.hh"
+#include <stdexcept>
+#include <iostream>
+#include <cmath>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename C>
+Linear_Form<C>::Linear_Form(const Variable v)
+ : vec() {
+ const dimension_type space_dim = v.space_dimension();
+ if (space_dim > max_space_dimension())
+ throw std::length_error("Linear_Form<C>::"
+ "Linear_Form(v):\n"
+ "v exceeds the maximum allowed "
+ "space dimension.");
+ vec.reserve(compute_capacity(space_dim+1, vec_type().max_size()));
+ vec.resize(space_dim+1, zero);
+ vec[v.space_dimension()] = C(typename C::boundary_type(1));
+}
+
+template <typename C>
+Linear_Form<C>::Linear_Form(const Variable v, const Variable w)
+ : vec() {
+ const dimension_type v_space_dim = v.space_dimension();
+ const dimension_type w_space_dim = w.space_dimension();
+ const dimension_type space_dim = std::max(v_space_dim, w_space_dim);
+ if (space_dim > max_space_dimension())
+ throw std::length_error("Linear_Form<C>::"
+ "Linear_Form(v, w):\n"
+ "v or w exceed the maximum allowed "
+ "space dimension.");
+ vec.reserve(compute_capacity(space_dim+1, vec_type().max_size()));
+ vec.resize(space_dim+1, zero);
+ if (v_space_dim != w_space_dim) {
+ vec[v_space_dim] = C(typename C::boundary_type(1));
+ vec[w_space_dim] = C(typename C::boundary_type(-1));
+ }
+}
+
+template <typename C>
+Linear_Form<C>::Linear_Form(const Linear_Expression& e)
+ : vec() {
+ const dimension_type space_dim = e.space_dimension();
+ if (space_dim > max_space_dimension())
+ throw std::length_error("Linear_Form<C>::"
+ "Linear_Form(e):\n"
+ "e exceeds the maximum allowed "
+ "space dimension.");
+ vec.reserve(compute_capacity(space_dim+1, vec_type().max_size()));
+ vec.resize(space_dim+1);
+ for (dimension_type i = space_dim; i-- > 0; )
+ vec[i+1] = e.coefficient(Variable(i));
+ vec[0] = e.inhomogeneous_term();
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const Linear_Form<C>& f1, const Linear_Form<C>& f2) {
+ dimension_type f1_size = f1.size();
+ dimension_type f2_size = f2.size();
+ dimension_type min_size;
+ dimension_type max_size;
+ const Linear_Form<C>* p_e_max;
+ if (f1_size > f2_size) {
+ min_size = f2_size;
+ max_size = f1_size;
+ p_e_max = &f1;
+ }
+ else {
+ min_size = f1_size;
+ max_size = f2_size;
+ p_e_max = &f2;
+ }
+
+ Linear_Form<C> r(max_size, false);
+ dimension_type i = max_size;
+ while (i > min_size) {
+ --i;
+ r[i] = p_e_max->vec[i];
+ }
+ while (i > 0) {
+ --i;
+ r[i] = f1[i];
+ r[i] += f2[i];
+ }
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const Variable v, const Linear_Form<C>& f) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Form<C>::max_space_dimension())
+ throw std::length_error("Linear_Form "
+ "operator+(v, f):\n"
+ "v exceeds the maximum allowed "
+ "space dimension.");
+ Linear_Form<C> r(f);
+ if (v_space_dim > f.space_dimension())
+ r.extend(v_space_dim+1);
+ r[v_space_dim] += C(typename C::boundary_type(1));
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator+(const C& n, const Linear_Form<C>& f) {
+ Linear_Form<C> r(f);
+ r[0] += n;
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f) {
+ Linear_Form<C> r(f);
+ for (dimension_type i = f.size(); i-- > 0; )
+ r[i].neg_assign(r[i]);
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f1, const Linear_Form<C>& f2) {
+ dimension_type f1_size = f1.size();
+ dimension_type f2_size = f2.size();
+ if (f1_size > f2_size) {
+ Linear_Form<C> r(f1_size, false);
+ dimension_type i = f1_size;
+ while (i > f2_size) {
+ --i;
+ r[i] = f1[i];
+ }
+ while (i > 0) {
+ --i;
+ r[i] = f1[i];
+ r[i] -= f2[i];
+ }
+ return r;
+ }
+ else {
+ Linear_Form<C> r(f2_size, false);
+ dimension_type i = f2_size;
+ while (i > f1_size) {
+ --i;
+ r[i].neg_assign(f2[i]);
+ }
+ while (i > 0) {
+ --i;
+ r[i] = f1[i];
+ r[i] -= f2[i];
+ }
+ return r;
+ }
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Variable v, const Linear_Form<C>& f) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Form<C>::max_space_dimension())
+ throw std::length_error("Linear_Form "
+ "operator-(v, e):\n"
+ "v exceeds the maximum allowed "
+ "space dimension.");
+ Linear_Form<C> r(f);
+ if (v_space_dim > f.space_dimension())
+ r.extend(v_space_dim+1);
+ for (dimension_type i = f.size(); i-- > 0; )
+ r[i].neg_assign(r[i]);
+ r[v_space_dim] += C(typename C::boundary_type(1));
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const Linear_Form<C>& f, const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Form<C>::max_space_dimension())
+ throw std::length_error("Linear_Form "
+ "operator-(e, v):\n"
+ "v exceeds the maximum allowed "
+ "space dimension.");
+ Linear_Form<C> r(f);
+ if (v_space_dim > f.space_dimension())
+ r.extend(v_space_dim+1);
+ r[v_space_dim] -= C(typename C::boundary_type(1));
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator-(const C& n, const Linear_Form<C>& f) {
+ Linear_Form<C> r(f);
+ for (dimension_type i = f.size(); i-- > 0; )
+ r[i].neg_assign(r[i]);
+ r[0] += n;
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>
+operator*(const C& n, const Linear_Form<C>& f) {
+ Linear_Form<C> r(f);
+ for (dimension_type i = f.size(); i-- > 0; )
+ r[i] *= n;
+ return r;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator+=(Linear_Form<C>& f1, const Linear_Form<C>& f2) {
+ dimension_type f1_size = f1.size();
+ dimension_type f2_size = f2.size();
+ if (f1_size < f2_size)
+ f1.extend(f2_size);
+ for (dimension_type i = f2_size; i-- > 0; )
+ f1[i] += f2[i];
+ return f1;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator+=(Linear_Form<C>& f, const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Form<C>::max_space_dimension())
+ throw std::length_error("Linear_Form<C>& "
+ "operator+=(e, v):\n"
+ "v exceeds the maximum allowed space dimension.");
+ if (v_space_dim > f.space_dimension())
+ f.extend(v_space_dim+1);
+ f[v_space_dim] += C(typename C::boundary_type(1));
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator-=(Linear_Form<C>& f1, const Linear_Form<C>& f2) {
+ dimension_type f1_size = f1.size();
+ dimension_type f2_size = f2.size();
+ if (f1_size < f2_size)
+ f1.extend(f2_size);
+ for (dimension_type i = f2_size; i-- > 0; )
+ f1[i] -= f2[i];
+ return f1;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator-=(Linear_Form<C>& f, const Variable v) {
+ const dimension_type v_space_dim = v.space_dimension();
+ if (v_space_dim > Linear_Form<C>::max_space_dimension())
+ throw std::length_error("Linear_Form<C>& "
+ "operator-=(e, v):\n"
+ "v exceeds the maximum allowed space dimension.");
+ if (v_space_dim > f.space_dimension())
+ f.extend(v_space_dim+1);
+ f[v_space_dim] -= C(typename C::boundary_type(1));
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator*=(Linear_Form<C>& f, const C& n) {
+ dimension_type f_size = f.size();
+ for (dimension_type i = f_size; i-- > 0; )
+ f[i] *= n;
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+Linear_Form<C>&
+operator/=(Linear_Form<C>& f, const C& n) {
+ dimension_type f_size = f.size();
+ for (dimension_type i = f_size; i-- > 0; )
+ f[i] /= n;
+ return f;
+}
+
+/*! \relates Linear_Form */
+template <typename C>
+inline bool
+operator==(const Linear_Form<C>& x, const Linear_Form<C>& y) {
+ const dimension_type x_size = x.size();
+ const dimension_type y_size = y.size();
+ if (x_size >= y_size) {
+ for (dimension_type i = y_size; i-- > 0; )
+ if (x[i] != y[i])
+ return false;
+
+ for (dimension_type i = x_size; --i >= y_size; )
+ if (x[i] != x.zero)
+ return false;
+
+ }
+ else {
+ for (dimension_type i = x_size; i-- > 0; )
+ if (x[i] != y[i])
+ return false;
+
+ for (dimension_type i = y_size; --i >= x_size; )
+ if (y[i] != x.zero)
+ return false;
+
+ }
+
+ return true;
+}
+
+template <typename C>
+void
+Linear_Form<C>::negate() {
+ for (dimension_type i = vec.size(); i-- > 0; )
+ vec[i].neg_assign(vec[i]);
+ return;
+}
+
+template <typename C>
+inline memory_size_type
+Linear_Form<C>::external_memory_in_bytes() const {
+ memory_size_type n = 0;
+ for (dimension_type i = size(); i-- > 0; )
+ n += vec[i].external_memory_in_bytes();
+ n += vec.capacity()*sizeof(C);
+ return n;
+}
+
+template <typename C>
+bool
+Linear_Form<C>::OK() const {
+ for (dimension_type i = size(); i-- > 0; )
+ if (!vec[i].OK())
+ return false;
+ return true;
+}
+
+// Floating point analysis related methods.
+template <typename C>
+void
+Linear_Form<C>::relative_error(
+ const Floating_Point_Format analyzed_format,
+ Linear_Form& result) const {
+ typedef typename C::boundary_type analyzer_format;
+
+ // Get the necessary information on the analyzed's format.
+ unsigned int f_base;
+ unsigned int f_mantissa_bits;
+ switch (analyzed_format) {
+ case IEEE754_HALF:
+ f_base = float_ieee754_half::BASE;
+ f_mantissa_bits = float_ieee754_half::MANTISSA_BITS;
+ break;
+ case IEEE754_SINGLE:
+ f_base = float_ieee754_single::BASE;
+ f_mantissa_bits = float_ieee754_single::MANTISSA_BITS;
+ break;
+ case IEEE754_DOUBLE:
+ f_base = float_ieee754_double::BASE;
+ f_mantissa_bits = float_ieee754_double::MANTISSA_BITS;
+ break;
+ case IBM_SINGLE:
+ f_base = float_ibm_single::BASE;
+ f_mantissa_bits = float_ibm_single::MANTISSA_BITS;
+ break;
+ case IEEE754_QUAD:
+ f_base = float_ieee754_quad::BASE;
+ f_mantissa_bits = float_ieee754_quad::MANTISSA_BITS;
+ break;
+ case INTEL_DOUBLE_EXTENDED:
+ f_base = float_intel_double_extended::BASE;
+ f_mantissa_bits = float_intel_double_extended::MANTISSA_BITS;
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ C error_propagator;
+ // We assume that f_base is a power of 2.
+ unsigned int u_power = msb_position(f_base) * f_mantissa_bits;
+ int neg_power = -static_cast<int>(u_power);
+ analyzer_format lb = static_cast<analyzer_format>(ldexp(1.0, neg_power));
+
+ error_propagator.build(i_constraint(GREATER_OR_EQUAL, -lb),
+ i_constraint(LESS_OR_EQUAL, lb));
+
+ // Handle the inhomogeneous term.
+ const C* current_term = &inhomogeneous_term();
+ assert(current_term->is_bounded());
+
+ C current_multiplier(std::max(std::abs(current_term->lower()),
+ std::abs(current_term->upper())));
+ Linear_Form current_result_term(current_multiplier);
+ current_result_term *= error_propagator;
+ result = Linear_Form(current_result_term);
+
+ // Handle the other terms.
+ dimension_type dimension = space_dimension();
+ for (dimension_type i = 0; i < dimension; ++i) {
+ current_term = &coefficient(Variable(i));
+ assert(current_term->is_bounded());
+ current_multiplier = C(std::max(std::abs(current_term->lower()),
+ std::abs(current_term->upper())));
+ current_result_term = Linear_Form(Variable(i));
+ current_result_term *= current_multiplier;
+ current_result_term *= error_propagator;
+ result += current_result_term;
+ }
+
+ return;
+}
+
+template <typename C>
+template <typename Target>
+bool
+Linear_Form<C>::intervalize(const FP_Oracle<Target,C>& oracle,
+ C& result) const {
+ result = C(inhomogeneous_term());
+ dimension_type dimension = space_dimension();
+ for (dimension_type i = 0; i < dimension; ++i) {
+ C current_addend = coefficient(Variable(i));
+ C curr_int;
+ if (!oracle.get_interval(i, curr_int))
+ return false;
+ current_addend *= curr_int;
+ result += current_addend;
+ }
+
+ return true;
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_Form */
+template <typename C>
+std::ostream&
+IO_Operators::operator<<(std::ostream& s, const Linear_Form<C>& f) {
+ const dimension_type num_variables = f.space_dimension();
+ bool first = true;
+ for (dimension_type v = 0; v < num_variables; ++v) {
+ const C& fv = f[v+1];
+ if (fv != typename C::boundary_type(0)) {
+ if (first) {
+ if (fv == typename C::boundary_type(-1))
+ s << "-";
+ else if (fv != typename C::boundary_type(1))
+ s << fv << "*";
+ first = false;
+ }
+ else {
+ if (fv == typename C::boundary_type(-1))
+ s << " - ";
+ else {
+ s << " + ";
+ if (fv != typename C::boundary_type(1))
+ s << fv << "*";
+ }
+ }
+ s << Variable(v);
+ }
+ }
+ // Inhomogeneous term.
+ const C& it = f[0];
+ if (it != 0) {
+ if (!first)
+ s << " + ";
+ else
+ first = false;
+ s << it;
+ }
+
+ if (first)
+ // The null linear form.
+ s << Linear_Form<C>::zero;
+ return s;
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(C, Linear_Form<C>)
+
+template <typename C>
+C Linear_Form<C>::zero(typename C::boundary_type(0));
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Form_templates_hh)
diff --git a/src/Linear_Form_types.hh b/src/Linear_Form_types.hh
new file mode 100644
index 0000000..97a1282
--- /dev/null
+++ b/src/Linear_Form_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Linear_Form_types_hh
+#define PPL_Linear_Form_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename C>
+class Linear_Form;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_Form_types_hh)
diff --git a/src/Linear_System.defs.hh b/src/Linear_System.defs.hh
deleted file mode 100644
index 870cb38..0000000
--- a/src/Linear_System.defs.hh
+++ /dev/null
@@ -1,582 +0,0 @@
-/* Linear_System class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_System_defs_hh
-#define PPL_Linear_System_defs_hh 1
-
-#include "Linear_System.types.hh"
-
-#include "Swapping_Vector.defs.hh"
-#include "globals.defs.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.defs.hh"
-
-#include "Polyhedron.types.hh"
-#include "Bit_Row.types.hh"
-#include "Bit_Matrix.types.hh"
-#include "Generator_System.types.hh"
-#include "Topology.types.hh"
-
-// TODO: Check how much of this description is still true.
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The base class for systems of constraints and generators.
-/*! \ingroup PPL_CXX_interface
- An object of this class represents either a constraint system
- or a generator system. Each Linear_System object can be viewed
- as a finite sequence of strong-normalized Row objects,
- where each Row implements a constraint or a generator.
- Linear systems are characterized by the matrix of coefficients,
- also encoding the number, size and capacity of Row objects,
- as well as a few additional information, including:
- - the topological kind of (all) the rows;
- - an indication of whether or not some of the rows in the Linear_System
- are <EM>pending</EM>, meaning that they still have to undergo
- an (unspecified) elaboration; if there are pending rows, then these
- form a proper suffix of the overall sequence of rows;
- - a Boolean flag that, when <CODE>true</CODE>, ensures that the
- non-pending prefix of the sequence of rows is sorted.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-class Parma_Polyhedra_Library::Linear_System {
-public:
-
- // NOTE: `iterator' is actually a const_iterator.
- typedef typename Swapping_Vector<Row>::const_iterator iterator;
- typedef typename Swapping_Vector<Row>::const_iterator const_iterator;
-
- //! Builds an empty linear system with specified topology.
- /*!
- Rows size and capacity are initialized to \f$0\f$.
- */
- Linear_System(Topology topol, Representation r);
-
- //! Builds a system with specified topology and dimensions.
- /*!
- \param topol
- The topology of the system that will be created;
-
- \param space_dim
- The number of space dimensions of the system that will be created.
-
- \param r
- The representation for system's rows.
-
- Creates a \p n_rows \f$\times\f$ \p space_dim system whose
- coefficients are all zero and with the given topology.
- */
- Linear_System(Topology topol, dimension_type space_dim, Representation r);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! A tag class.
- /*! \ingroup PPL_CXX_interface
- Tag class to differentiate the Linear_System copy constructor that
- copies pending rows as pending from the one that transforms
- pending rows into non-pending ones.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- struct With_Pending {
- };
-
- //! Copy constructor: pending rows are transformed into non-pending ones.
- Linear_System(const Linear_System& y);
-
- //! Copy constructor with specified representation. Pending rows are
- //! transformed into non-pending ones.
- Linear_System(const Linear_System& y, Representation r);
-
- //! Full copy constructor: pending rows are copied as pending.
- Linear_System(const Linear_System& y, With_Pending);
-
- //! Full copy constructor: pending rows are copied as pending.
- Linear_System(const Linear_System& y, Representation r, With_Pending);
-
- //! Assignment operator: pending rows are transformed into non-pending ones.
- Linear_System& operator=(const Linear_System& y);
-
- //! Full assignment operator: pending rows are copied as pending.
- void assign_with_pending(const Linear_System& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Linear_System& y);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- //! Converts *this to the specified representation.
- void set_representation(Representation r);
-
- //! Returns the maximum space dimension a Linear_System can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the space dimension of the rows in the system.
- /*!
- The computation of the space dimension correctly ignores
- the column encoding the inhomogeneous terms of constraint
- (resp., the divisors of generators);
- if the system topology is <CODE>NOT_NECESSARILY_CLOSED</CODE>,
- also the column of the \f$\epsilon\f$-dimension coefficients
- will be ignored.
- */
- dimension_type space_dimension() const;
-
- //! Sets the space dimension of the rows in the system to \p space_dim .
- void set_space_dimension(dimension_type space_dim);
-
- //! Makes the system shrink by removing its \p n trailing rows.
- void remove_trailing_rows(dimension_type n);
-
- //! Makes the system shrink by removing its i-th row.
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(n).
-
- Otherwise, this method just swaps the i-th row with the last and then
- removes it, so it costs O(1).
- */
- void remove_row(dimension_type i, bool keep_sorted = false);
-
- //! Makes the system shrink by removing the rows in [first,last).
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(num_rows()).
-
- Otherwise, this method just swaps the rows with the last ones and then
- removes them, so it costs O(last - first).
- */
- void remove_rows(dimension_type first, dimension_type last,
- bool keep_sorted = false);
-
- // TODO: Consider removing this.
- //! Removes the specified rows. The row ordering of remaining rows is
- //! preserved.
- /*!
- \param indexes specifies a list of row indexes.
- It must be sorted.
- */
- void remove_rows(const std::vector<dimension_type>& indexes);
-
- // TODO: Consider making this private.
- //! Removes all the specified dimensions from the system.
- /*!
- The space dimension of the variable with the highest space
- dimension in \p vars must be at most the space dimension
- of \p this.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- //! Shift by \p n positions the coefficients of variables, starting from
- //! the coefficient of \p v. This increases the space dimension by \p n.
- void shift_space_dimensions(Variable v, dimension_type n);
-
- // TODO: Consider making this private.
- //! Permutes the space dimensions of the matrix.
- /*
- \param cycle
- A vector representing a cycle of the permutation according to which the
- space dimensions must be rearranged.
-
- The \p cycle vector represents a cycle of a permutation of space
- dimensions.
- For example, the permutation
- \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
- represented by the vector containing \f$ x_1, x_2, x_3 \f$.
- */
- void permute_space_dimensions(const std::vector<Variable>& cycle);
-
- //! Swaps the coefficients of the variables \p v1 and \p v2 .
- void swap_space_dimensions(Variable v1, Variable v2);
-
- //! \name Subscript operators
- //@{
- //! Returns a const reference to the \p k-th row of the system.
- const Row& operator[](dimension_type k) const;
- //@} // Subscript operators
-
- iterator begin();
- iterator end();
- const_iterator begin() const;
- const_iterator end() const;
-
- bool has_no_rows() const;
- dimension_type num_rows() const;
-
- //! Strongly normalizes the system.
- void strong_normalize();
-
- //! Sign-normalizes the system.
- void sign_normalize();
-
- //! \name Accessors
- //@{
- //! Returns the system topology.
- Topology topology() const;
-
- //! Returns the value of the sortedness flag.
- bool is_sorted() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- the system topology is <CODE>NECESSARILY_CLOSED</CODE>.
- */
- bool is_necessarily_closed() const;
-
- /*! \brief
- Returns the number of rows in the system
- that represent either lines or equalities.
- */
- dimension_type num_lines_or_equalities() const;
-
- //! Returns the index of the first pending row.
- dimension_type first_pending_row() const;
-
- //! Returns the number of rows that are in the pending part of the system.
- dimension_type num_pending_rows() const;
- //@} // Accessors
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is sorted,
- without checking for duplicates.
- */
- bool check_sorted() const;
-
- //! Sets the system topology to \p t .
- void set_topology(Topology t);
-
- //! Sets the system topology to <CODE>NECESSARILY_CLOSED</CODE>.
- void set_necessarily_closed();
-
- //! Sets the system topology to <CODE>NOT_NECESSARILY_CLOSED</CODE>.
- void set_not_necessarily_closed();
-
- // TODO: Consider removing this, or making it private.
- //! Marks the epsilon dimension as a standard dimension.
- /*!
- The system topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is increased by 1.
- */
- void mark_as_necessarily_closed();
-
- // TODO: Consider removing this, or making it private.
- //! Marks the last dimension as the epsilon dimension.
- /*!
- The system topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
- the number of space dimensions is decreased by 1.
- */
- void mark_as_not_necessarily_closed();
-
- //! Sets the index to indicate that the system has no pending rows.
- void unset_pending_rows();
-
- //! Sets the index of the first pending row to \p i.
- void set_index_first_pending_row(dimension_type i);
-
- //! Sets the sortedness flag of the system to \p b.
- void set_sorted(bool b);
-
- //! Adds \p n rows and space dimensions to the system.
- /*!
- \param n
- The number of rows and space dimensions to be added: must be strictly
- positive.
-
- Turns the system \f$M \in \Rset^r \times \Rset^c\f$ into
- the system \f$N \in \Rset^{r+n} \times \Rset^{c+n}\f$
- such that
- \f$N = \bigl(\genfrac{}{}{0pt}{}{0}{M}\genfrac{}{}{0pt}{}{J}{o}\bigr)\f$,
- where \f$J\f$ is the specular image
- of the \f$n \times n\f$ identity matrix.
- */
- void add_universe_rows_and_space_dimensions(dimension_type n);
-
- /*! \brief
- Adds a copy of \p r to the system,
- automatically resizing the system or the row's copy, if needed.
- */
- void insert(const Row& r);
-
- /*! \brief
- Adds a copy of the given row to the pending part of the system,
- automatically resizing the system or the row, if needed.
- */
- void insert_pending(const Row& r);
-
- /*! \brief
- Adds \p r to the system, stealing its contents and
- automatically resizing the system or the row, if needed.
- */
- void insert(Row& r, Recycle_Input);
-
- /*! \brief
- Adds the given row to the pending part of the system, stealing its
- contents and automatically resizing the system or the row, if needed.
- */
- void insert_pending(Row& r, Recycle_Input);
-
- //! Adds to \p *this a copy of the rows of \p y.
- /*!
- It is assumed that \p *this has no pending rows.
- */
- void insert(const Linear_System& y);
-
- //! Adds a copy of the rows of `y' to the pending part of `*this'.
- void insert_pending(const Linear_System& r);
-
- //! Adds to \p *this a the rows of `y', stealing them from `y'.
- /*!
- It is assumed that \p *this has no pending rows.
- */
- void insert(Linear_System& r, Recycle_Input);
-
- //! Adds the rows of `y' to the pending part of `*this', stealing them from
- //! `y'.
- void insert_pending(Linear_System& r, Recycle_Input);
-
- /*! \brief
- Sorts the non-pending rows (in growing order) and eliminates
- duplicated ones.
- */
- void sort_rows();
-
- /*! \brief
- Sorts the rows (in growing order) form \p first_row to
- \p last_row and eliminates duplicated ones.
- */
- void sort_rows(dimension_type first_row, dimension_type last_row);
-
- /*! \brief
- Assigns to \p *this the result of merging its rows with
- those of \p y, obtaining a sorted system.
-
- Duplicated rows will occur only once in the result.
- On entry, both systems are assumed to be sorted and have
- no pending rows.
- */
- void merge_rows_assign(const Linear_System& y);
-
- /*! \brief
- Sorts the pending rows and eliminates those that also occur
- in the non-pending part of the system.
- */
- void sort_pending_and_remove_duplicates();
-
- /*! \brief
- Sorts the system, removing duplicates, keeping the saturation
- matrix consistent.
-
- \param sat
- Bit matrix with rows corresponding to the rows of \p *this.
- */
- void sort_and_remove_with_sat(Bit_Matrix& sat);
-
- //! Minimizes the subsystem of equations contained in \p *this.
- /*!
- This method works only on the equalities of the system:
- the system is required to be partially sorted, so that
- all the equalities are grouped at its top; it is assumed that
- the number of equalities is exactly \p n_lines_or_equalities.
- The method finds a minimal system for the equalities and
- returns its rank, i.e., the number of linearly independent equalities.
- The result is an upper triangular subsystem of equalities:
- for each equality, the pivot is chosen starting from
- the right-most space dimensions.
- */
- dimension_type gauss(dimension_type n_lines_or_equalities);
-
- /*! \brief
- Back-substitutes the coefficients to reduce
- the complexity of the system.
-
- Takes an upper triangular system having \p n_lines_or_equalities rows.
- For each row, starting from the one having the minimum number of
- coefficients different from zero, computes the expression of an element
- as a function of the remaining ones and then substitutes this expression
- in all the other rows.
- */
- void back_substitute(dimension_type n_lines_or_equalities);
-
- /*! \brief
- Applies Gaussian elimination and back-substitution so as to
- simplify the linear system.
- */
- void simplify();
-
- //! Clears the system deallocating all its rows.
- void clear();
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
-
- Reads into a Linear_System object the information produced by the
- output of ascii_dump(std::ostream&) const. The specialized methods
- provided by Constraint_System and Generator_System take care of
- properly reading the contents of the system.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! The vector that contains the rows.
- /*!
- \note This is public for convenience. Clients that modify if must preserve
- the class invariant.
- */
- Swapping_Vector<Row> rows;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
-private:
- //! Makes the system shrink by removing its i-th row.
- /*!
- When \p keep_sorted is \p true and the system is sorted, sortedness will
- be preserved, but this method costs O(n).
-
- Otherwise, this method just swaps the i-th row with the last and then
- removes it, so it costs O(1).
-
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid systems.
- */
- void remove_row_no_ok(dimension_type i, bool keep_sorted = false);
-
- /*! \brief
- Adds \p r to the pending part of the system, stealing its contents and
- automatically resizing the system or the row, if needed.
-
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid systems.
- */
- void insert_pending_no_ok(Row& r, Recycle_Input);
-
- /*! \brief
- Adds \p r to the system, stealing its contents and
- automatically resizing the system or the row, if needed.
-
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid systems.
- */
- void insert_no_ok(Row& r, Recycle_Input);
-
- //! Sets the space dimension of the rows in the system to \p space_dim .
- /*!
- This method is for internal use, it does *not* assert OK() at the end,
- so it can be used for invalid systems.
- */
- void set_space_dimension_no_ok(dimension_type space_dim);
-
- //! Swaps the [first,last) row interval with the
- //! [first + offset, last + offset) interval.
- /*!
- These intervals may not be disjunct.
-
- Sorting of these intervals is *not* preserved.
-
- Either both intervals contain only not-pending rows, or they both
- contain pending rows.
- */
- void swap_row_intervals(dimension_type first, dimension_type last,
- dimension_type offset);
-
- //! The space dimension of each row. All rows must have this number of
- //! space dimensions.
- dimension_type space_dimension_;
-
- //! The topological kind of the rows in the system. All rows must have this
- //! topology.
- Topology row_topology;
-
- //! The index of the first pending row.
- dimension_type index_first_pending;
-
- /*! \brief
- <CODE>true</CODE> if rows are sorted in the ascending order as defined by
- <CODE>bool compare(const Row&, const Row&)</CODE>.
- If <CODE>false</CODE> may not be sorted.
- */
- bool sorted;
-
- Representation representation_;
-
- //! Ordering predicate (used when implementing the sort algorithm).
- struct Row_Less_Than {
- bool operator()(const Row& x, const Row& y) const;
- };
-
- //! Comparison predicate (used when implementing the unique algorithm).
- struct Unique_Compare {
- Unique_Compare(const Swapping_Vector<Row>& cont,
- dimension_type base = 0);
-
- bool operator()(dimension_type i, dimension_type j) const;
-
- const Swapping_Vector<Row>& container;
- const dimension_type base_index;
- };
-
- friend class Polyhedron;
- friend class Generator_System;
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates Linear_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-void swap(Parma_Polyhedra_Library::Linear_System<Row>& x,
- Parma_Polyhedra_Library::Linear_System<Row>& y);
-
-} // namespace std
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates Linear_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-bool operator==(const Linear_System<Row>& x, const Linear_System<Row>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Linear_System */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-bool operator!=(const Linear_System<Row>& x, const Linear_System<Row>& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Linear_System.inlines.hh"
-#include "Linear_System.templates.hh"
-
-#endif // !defined(PPL_Linear_System_defs_hh)
diff --git a/src/Linear_System.inlines.hh b/src/Linear_System.inlines.hh
deleted file mode 100644
index 8b20e01..0000000
--- a/src/Linear_System.inlines.hh
+++ /dev/null
@@ -1,692 +0,0 @@
-/* Linear_System class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_System_inlines_hh
-#define PPL_Linear_System_inlines_hh 1
-
-#include "Bit_Row.defs.hh"
-#include "Coefficient.defs.hh"
-
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-inline memory_size_type
-Linear_System<Row>::external_memory_in_bytes() const {
- return rows.external_memory_in_bytes();
-}
-
-template <typename Row>
-inline memory_size_type
-Linear_System<Row>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename Row>
-inline bool
-Linear_System<Row>::is_sorted() const {
- // The flag `sorted' does not really reflect the sortedness status
- // of a system (if `sorted' evaluates to `false' nothing is known).
- // This assertion is used to ensure that the system
- // is actually sorted when `sorted' value is 'true'.
- PPL_ASSERT(!sorted || check_sorted());
- return sorted;
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_sorted(const bool b) {
- sorted = b;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Linear_System(Topology topol, Representation r)
- : rows(),
- space_dimension_(0),
- row_topology(topol),
- index_first_pending(0),
- sorted(true),
- representation_(r) {
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Linear_System(Topology topol,
- dimension_type space_dim,
- Representation r)
- : rows(),
- space_dimension_(0),
- row_topology(topol),
- index_first_pending(0),
- sorted(true),
- representation_(r) {
- set_space_dimension(space_dim);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline dimension_type
-Linear_System<Row>::first_pending_row() const {
- return index_first_pending;
-}
-
-template <typename Row>
-inline dimension_type
-Linear_System<Row>::num_pending_rows() const {
- PPL_ASSERT(num_rows() >= first_pending_row());
- return num_rows() - first_pending_row();
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::unset_pending_rows() {
- index_first_pending = num_rows();
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_index_first_pending_row(const dimension_type i) {
- index_first_pending = i;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Linear_System(const Linear_System& y)
- : rows(y.rows),
- space_dimension_(y.space_dimension_),
- row_topology(y.row_topology),
- representation_(y.representation_) {
- // Previously pending rows may violate sortedness.
- sorted = (y.num_pending_rows() > 0) ? false : y.sorted;
- unset_pending_rows();
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Linear_System(const Linear_System& y, Representation r)
- : rows(),
- space_dimension_(y.space_dimension_),
- row_topology(y.row_topology),
- representation_(r) {
- rows.resize(y.num_rows());
- for (dimension_type i = 0; i < y.num_rows(); ++i) {
- // Create the copies with the right representation.
- Row row(y.rows[i], r);
- swap(rows[i], row);
- }
- // Previously pending rows may violate sortedness.
- sorted = (y.num_pending_rows() > 0) ? false : y.sorted;
- unset_pending_rows();
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Linear_System(const Linear_System& y, With_Pending)
- : rows(y.rows),
- space_dimension_(y.space_dimension_),
- row_topology(y.row_topology),
- index_first_pending(y.index_first_pending),
- sorted(y.sorted),
- representation_(y.representation_) {
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Linear_System(const Linear_System& y, Representation r,
- With_Pending)
- : rows(),
- space_dimension_(y.space_dimension_),
- row_topology(y.row_topology),
- index_first_pending(y.index_first_pending),
- sorted(y.sorted),
- representation_(r) {
- rows.resize(y.num_rows());
- for (dimension_type i = 0; i < y.num_rows(); ++i) {
- // Create the copies with the right representation.
- Row row(y.rows[i], r);
- swap(rows[i], row);
- }
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline Linear_System<Row>&
-Linear_System<Row>::operator=(const Linear_System& y) {
- // NOTE: Pending rows are transformed into non-pending ones.
- Linear_System<Row> tmp = y;
- swap(*this, tmp);
- return *this;
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::assign_with_pending(const Linear_System& y) {
- Linear_System<Row> tmp(y, With_Pending());
- swap(*this, tmp);
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::m_swap(Linear_System& y) {
- using std::swap;
- swap(rows, y.rows);
- swap(space_dimension_, y.space_dimension_);
- swap(row_topology, y.row_topology);
- swap(index_first_pending, y.index_first_pending);
- swap(sorted, y.sorted);
- swap(representation_, y.representation_);
- PPL_ASSERT(OK());
- PPL_ASSERT(y.OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::clear() {
- // Note: do NOT modify the value of `row_topology' and `representation'.
- rows.clear();
- index_first_pending = 0;
- sorted = true;
- space_dimension_ = 0;
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::mark_as_necessarily_closed() {
- PPL_ASSERT(topology() == NOT_NECESSARILY_CLOSED);
- row_topology = NECESSARILY_CLOSED;
- ++space_dimension_;
- for (dimension_type i = num_rows(); i-- > 0; )
- rows[i].mark_as_necessarily_closed();
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::mark_as_not_necessarily_closed() {
- PPL_ASSERT(topology() == NECESSARILY_CLOSED);
- PPL_ASSERT(space_dimension() > 0);
- row_topology = NOT_NECESSARILY_CLOSED;
- --space_dimension_;
- for (dimension_type i = num_rows(); i-- > 0; )
- rows[i].mark_as_not_necessarily_closed();
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_topology(Topology t) {
- if (topology() == t)
- return;
- for (dimension_type i = num_rows(); i-- > 0; )
- rows[i].set_topology(t);
- row_topology = t;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_necessarily_closed() {
- set_topology(NECESSARILY_CLOSED);
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_not_necessarily_closed() {
- set_topology(NOT_NECESSARILY_CLOSED);
-}
-
-template <typename Row>
-inline bool
-Linear_System<Row>::is_necessarily_closed() const {
- return row_topology == NECESSARILY_CLOSED;
-}
-
-template <typename Row>
-inline const Row&
-Linear_System<Row>::operator[](const dimension_type k) const {
- return rows[k];
-}
-
-template <typename Row>
-inline typename Linear_System<Row>::iterator
-Linear_System<Row>::begin() {
- return rows.begin();
-}
-
-template <typename Row>
-inline typename Linear_System<Row>::iterator
-Linear_System<Row>::end() {
- return rows.end();
-}
-
-template <typename Row>
-inline typename Linear_System<Row>::const_iterator
-Linear_System<Row>::begin() const {
- return rows.begin();
-}
-
-template <typename Row>
-inline typename Linear_System<Row>::const_iterator
-Linear_System<Row>::end() const {
- return rows.end();
-}
-
-template <typename Row>
-inline bool
-Linear_System<Row>::has_no_rows() const {
- return rows.empty();
-}
-
-template <typename Row>
-inline dimension_type
-Linear_System<Row>::num_rows() const {
- return rows.size();
-}
-
-template <typename Row>
-inline Topology
-Linear_System<Row>::topology() const {
- return row_topology;
-}
-
-template <typename Row>
-inline Representation
-Linear_System<Row>::representation() const {
- return representation_;
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_representation(Representation r) {
- representation_ = r;
- for (dimension_type i = 0; i < rows.size(); ++i)
- rows[i].set_representation(r);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline dimension_type
-Linear_System<Row>::max_space_dimension() {
- return Row::max_space_dimension();
-}
-
-template <typename Row>
-inline dimension_type
-Linear_System<Row>::space_dimension() const {
- return space_dimension_;
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_space_dimension_no_ok(dimension_type space_dim) {
- for (dimension_type i = rows.size(); i-- > 0; )
- rows[i].set_space_dimension_no_ok(space_dim);
- space_dimension_ = space_dim;
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::set_space_dimension(dimension_type space_dim) {
- set_space_dimension_no_ok(space_dim);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::remove_row_no_ok(const dimension_type i,
- const bool keep_sorted) {
- PPL_ASSERT(i < num_rows());
- bool was_pending = (i >= index_first_pending);
-
- if (sorted && keep_sorted && !was_pending) {
- for (dimension_type j = i + 1; j < rows.size(); ++j)
- swap(rows[j], rows[j-1]);
- rows.pop_back();
- } else {
- if (!was_pending)
- sorted = false;
- bool last_row_is_pending = (num_rows() - 1 >= index_first_pending);
- if (was_pending == last_row_is_pending)
- // Either both rows are pending or both rows are not pending.
- swap(rows[i], rows.back());
- else {
- // Pending rows are stored after the non-pending ones.
- PPL_ASSERT(!was_pending);
- PPL_ASSERT(last_row_is_pending);
-
- // Swap the row with the last non-pending row.
- swap(rows[i], rows[index_first_pending - 1]);
-
- // Now the (non-pending) row that has to be deleted is between the
- // non-pending and the pending rows.
- swap(rows[i], rows.back());
- }
- rows.pop_back();
- }
- if (!was_pending)
- // A non-pending row has been removed.
- --index_first_pending;
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::remove_row(const dimension_type i, bool keep_sorted) {
- remove_row_no_ok(i, keep_sorted);
- PPL_ASSERT(OK());
-}
-
-
-template <typename Row>
-inline void
-Linear_System<Row>::remove_rows(dimension_type first,
- dimension_type last,
- bool keep_sorted) {
- PPL_ASSERT(first <= last);
- PPL_ASSERT(last <= num_rows());
- const dimension_type n = last - first;
-
- if (n == 0)
- return;
-
- // All the rows that have to be removed must have the same (pending or
- // non-pending) status.
- PPL_ASSERT(first >= index_first_pending || last <= index_first_pending);
-
- bool were_pending = (first >= index_first_pending);
-
- // Move the rows in [first,last) at the end of the system.
- if (sorted && keep_sorted && !were_pending) {
- // Preserve the row ordering.
- for (dimension_type i = last; i < rows.size(); ++i)
- swap(rows[i], rows[i - n]);
-
- rows.resize(rows.size() - n);
-
- // `n' non-pending rows have been removed.
- index_first_pending -= n;
-
- PPL_ASSERT(OK());
- return;
- }
-
- // We can ignore the row ordering, but we must not mix pending and
- // non-pending rows.
-
- dimension_type offset = rows.size() - n - first;
- // We want to swap the rows in [first, last) and
- // [first + offset, last + offset) (note that these intervals may not be
- // disjunct).
-
- if (index_first_pending == num_rows()) {
- // There are no pending rows.
- PPL_ASSERT(!were_pending);
-
- swap_row_intervals(first, last, offset);
-
- rows.resize(rows.size() - n);
-
- // `n' non-pending rows have been removed.
- index_first_pending -= n;
- } else {
- // There are some pending rows in [first + offset, last + offset).
- if (were_pending) {
- // Both intervals contain only pending rows, because the second
- // interval is after the first.
-
- swap_row_intervals(first, last, offset);
-
- rows.resize(rows.size() - n);
-
- // `n' non-pending rows have been removed.
- index_first_pending -= n;
- } else {
- PPL_ASSERT(rows.size() - n < index_first_pending);
- PPL_ASSERT(rows.size() > index_first_pending);
- PPL_ASSERT(!were_pending);
- // In the [size() - n, size()) interval there are some non-pending
- // rows and some pending ones. Be careful not to mix them.
-
- PPL_ASSERT(index_first_pending >= last);
- swap_row_intervals(first, last, index_first_pending - last);
-
- // Mark the rows that must be deleted as pending.
- index_first_pending -= n;
- first = index_first_pending;
- last = first + n;
-
- // Move them at the end of the system.
- swap_row_intervals(first, last, num_rows() - last);
-
- // Actually remove the rows.
- rows.resize(rows.size() - n);
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::swap_row_intervals(dimension_type first,
- dimension_type last,
- dimension_type offset) {
- PPL_ASSERT(first <= last);
- PPL_ASSERT(last + offset <= num_rows());
-#ifndef NDEBUG
- if (first < last) {
- bool first_interval_has_pending_rows = (last > index_first_pending);
- bool second_interval_has_pending_rows = (last + offset > index_first_pending);
- bool first_interval_has_not_pending_rows = (first < index_first_pending);
- bool second_interval_has_not_pending_rows = (first + offset < index_first_pending);
- PPL_ASSERT(first_interval_has_not_pending_rows
- == !first_interval_has_pending_rows);
- PPL_ASSERT(second_interval_has_not_pending_rows
- == !second_interval_has_pending_rows);
- PPL_ASSERT(first_interval_has_pending_rows
- == second_interval_has_pending_rows);
- }
-#endif
- if (first + offset < last) {
- // The intervals are not disjunct, make them so.
- const dimension_type k = last - first - offset;
- last -= k;
- offset += k;
- }
-
- if (first == last)
- // Nothing to do.
- return;
-
- for (dimension_type i = first; i < last; ++i)
- swap(rows[i], rows[i + offset]);
-
- if (first < index_first_pending)
- // The swaps involved not pending rows, so they may not be sorted anymore.
- set_sorted(false);
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::remove_rows(const std::vector<dimension_type>& indexes) {
-#ifndef NDEBUG
- {
- // Check that `indexes' is sorted.
- std::vector<dimension_type> sorted_indexes = indexes;
- std::sort(sorted_indexes.begin(), sorted_indexes.end());
- PPL_ASSERT(indexes == sorted_indexes);
-
- // Check that the last index (if any) is lower than num_rows().
- // This guarantees that all indexes are in [0, num_rows()).
- if (!indexes.empty())
- PPL_ASSERT(indexes.back() < num_rows());
- }
-#endif
-
- if (indexes.empty())
- return;
-
- const dimension_type rows_size = rows.size();
- typedef std::vector<dimension_type>::const_iterator itr_t;
-
- // `i' and last_unused_row' start with the value `indexes[0]' instead
- // of `0', because the loop would just increment `last_unused_row' in the
- // preceding iterations.
- dimension_type last_unused_row = indexes[0];
- dimension_type i = indexes[0];
- itr_t itr = indexes.begin();
- itr_t itr_end = indexes.end();
- while (itr != itr_end) {
- // i <= *itr < rows_size
- PPL_ASSERT(i < rows_size);
- if (*itr == i) {
- // The current row has to be removed, don't increment last_unused_row.
- ++itr;
- } else {
- // The current row must not be removed, swap it after the last used row.
- swap(rows[last_unused_row], rows[i]);
- ++last_unused_row;
- }
- ++i;
- }
-
- // Move up the remaining rows, if any.
- for ( ; i < rows_size; ++i) {
- swap(rows[last_unused_row], rows[i]);
- ++last_unused_row;
- }
-
- PPL_ASSERT(last_unused_row == num_rows() - indexes.size());
-
- // The rows that have to be removed are now at the end of the system, just
- // remove them.
- rows.resize(last_unused_row);
-
- // Adjust index_first_pending.
- if (indexes[0] >= index_first_pending) {
- // Removing pending rows only.
- } else {
- if (indexes.back() < index_first_pending) {
- // Removing non-pending rows only.
- index_first_pending -= indexes.size();
- } else {
- // Removing some pending and some non-pending rows, count the
- // non-pending rows that must be removed.
- // This exploits the fact that `indexes' is sorted by using binary
- // search.
- itr_t j = std::lower_bound(indexes.begin(), indexes.end(),
- index_first_pending);
- std::iterator_traits<itr_t>::difference_type
- non_pending = j - indexes.begin();
- index_first_pending -= static_cast<dimension_type>(non_pending);
- }
- }
-
- // NOTE: This method does *not* call set_sorted(false), because it preserves
- // the relative row ordering.
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>::remove_trailing_rows(const dimension_type n) {
- PPL_ASSERT(rows.size() >= n);
- rows.resize(rows.size() - n);
- if (first_pending_row() > rows.size())
- index_first_pending = rows.size();
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>
-::permute_space_dimensions(const std::vector<Variable>& cycle) {
- for (dimension_type i = num_rows(); i-- > 0; )
- rows[i].permute_space_dimensions(cycle);
- sorted = false;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Linear_System<Row>
-::swap_space_dimensions(Variable v1, Variable v2) {
- PPL_ASSERT(v1.space_dimension() <= space_dimension());
- PPL_ASSERT(v2.space_dimension() <= space_dimension());
- for (dimension_type k = num_rows(); k-- > 0; )
- rows[k].swap_space_dimensions(v1, v2);
- sorted = false;
- PPL_ASSERT(OK());
-}
-
-/*! \relates Linear_System */
-template <typename Row>
-inline bool
-operator!=(const Linear_System<Row>& x, const Linear_System<Row>& y) {
- return !(x == y);
-}
-
-template <typename Row>
-inline bool
-Linear_System<Row>::Row_Less_Than::operator()(const Row& x,
- const Row& y) const {
- return compare(x, y) < 0;
-}
-
-template <typename Row>
-inline
-Linear_System<Row>::Unique_Compare
-::Unique_Compare(const Swapping_Vector<Row>& cont,
- dimension_type base)
- : container(cont), base_index(base) {
-}
-
-template <typename Row>
-inline bool
-Linear_System<Row>::Unique_Compare
-::operator()(dimension_type i, dimension_type j) const {
- return container[base_index + i].is_equal_to(container[base_index + j]);
-}
-
-/*! \relates Linear_System */
-template <typename Row>
-inline void
-swap(Linear_System<Row>& x, Linear_System<Row>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_System_inlines_hh)
diff --git a/src/Linear_System.templates.hh b/src/Linear_System.templates.hh
deleted file mode 100644
index 58b88ee..0000000
--- a/src/Linear_System.templates.hh
+++ /dev/null
@@ -1,923 +0,0 @@
-/* Linear_System class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Linear_System_templates_hh
-#define PPL_Linear_System_templates_hh 1
-
-#include "Bit_Matrix.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include <algorithm>
-#include <iostream>
-#include <string>
-#include <deque>
-
-#include "swapping_sort.templates.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-dimension_type
-Linear_System<Row>::num_lines_or_equalities() const {
- PPL_ASSERT(num_pending_rows() == 0);
- const Linear_System& x = *this;
- dimension_type n = 0;
- for (dimension_type i = num_rows(); i-- > 0; )
- if (x[i].is_line_or_equality())
- ++n;
- return n;
-}
-
-template <typename Row>
-void
-Linear_System<Row>::merge_rows_assign(const Linear_System& y) {
- PPL_ASSERT(space_dimension() >= y.space_dimension());
- // Both systems have to be sorted and have no pending rows.
- PPL_ASSERT(check_sorted() && y.check_sorted());
- PPL_ASSERT(num_pending_rows() == 0 && y.num_pending_rows() == 0);
-
- Linear_System& x = *this;
-
- // A temporary vector...
- Swapping_Vector<Row> tmp;
- // ... with enough capacity not to require any reallocations.
- tmp.reserve(compute_capacity(x.rows.size() + y.rows.size(),
- tmp.max_num_rows()));
-
- dimension_type xi = 0;
- dimension_type x_num_rows = x.num_rows();
- dimension_type yi = 0;
- dimension_type y_num_rows = y.num_rows();
-
- while (xi < x_num_rows && yi < y_num_rows) {
- const int comp = compare(x[xi], y[yi]);
- if (comp <= 0) {
- // Elements that can be taken from `x' are actually _stolen_ from `x'
- tmp.resize(tmp.size() + 1);
- swap(tmp.back(), x.rows[xi++]);
- tmp.back().set_representation(representation());
- if (comp == 0)
- // A duplicate element.
- ++yi;
- }
- else {
- // (comp > 0)
- tmp.resize(tmp.size() + 1);
- Row copy(y[yi++], space_dimension(), representation());
- swap(tmp.back(), copy);
- }
- }
- // Insert what is left.
- if (xi < x_num_rows)
- while (xi < x_num_rows) {
- tmp.resize(tmp.size() + 1);
- swap(tmp.back(), x.rows[xi++]);
- tmp.back().set_representation(representation());
- }
- else
- while (yi < y_num_rows) {
- tmp.resize(tmp.size() + 1);
- Row copy(y[yi++], space_dimension(), representation());
- swap(tmp.back(), copy);
- }
-
- // We get the result matrix and let the old one be destroyed.
- swap(tmp, rows);
- // There are no pending rows.
- unset_pending_rows();
- PPL_ASSERT(check_sorted());
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::ascii_dump(std::ostream& s) const {
- // Prints the topology, the number of rows, the number of columns
- // and the sorted flag. The specialized methods provided by
- // Constraint_System and Generator_System take care of properly
- // printing the contents of the system.
- s << "topology " << (is_necessarily_closed()
- ? "NECESSARILY_CLOSED"
- : "NOT_NECESSARILY_CLOSED")
- << "\n"
- << num_rows() << " x " << space_dimension() << " ";
- Parma_Polyhedra_Library::ascii_dump(s, representation());
- s << " " << (sorted ? "(sorted)" : "(not_sorted)")
- << "\n"
- << "index_first_pending " << first_pending_row()
- << "\n";
- for (dimension_type i = 0; i < rows.size(); ++i)
- rows[i].ascii_dump(s);
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(Row, Linear_System<Row>)
-
-template <typename Row>
-bool
-Linear_System<Row>::ascii_load(std::istream& s) {
- std::string str;
- if (!(s >> str) || str != "topology")
- return false;
- if (!(s >> str))
- return false;
-
- clear();
-
- Topology t;
- if (str == "NECESSARILY_CLOSED")
- t = NECESSARILY_CLOSED;
- else {
- if (str != "NOT_NECESSARILY_CLOSED")
- return false;
- t = NOT_NECESSARILY_CLOSED;
- }
-
- set_topology(t);
-
- dimension_type nrows;
- dimension_type space_dims;
- if (!(s >> nrows))
- return false;
- if (!(s >> str) || str != "x")
- return false;
- if (!(s >> space_dims))
- return false;
-
- space_dimension_ = space_dims;
-
- if (!Parma_Polyhedra_Library::ascii_load(s, representation_))
- return false;
-
- if (!(s >> str) || (str != "(sorted)" && str != "(not_sorted)"))
- return false;
- bool sortedness = (str == "(sorted)");
- dimension_type index;
- if (!(s >> str) || str != "index_first_pending")
- return false;
- if (!(s >> index))
- return false;
-
- Row row;
- for (dimension_type i = 0; i < nrows; ++i) {
- if (!row.ascii_load(s))
- return false;
- insert(row, Recycle_Input());
- }
- index_first_pending = index;
- sorted = sortedness;
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert(const Row& r) {
- Row tmp(r, representation());
- insert(tmp, Recycle_Input());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert(Row& r, Recycle_Input) {
- insert_no_ok(r, Recycle_Input());
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert_no_ok(Row& r, Recycle_Input) {
- PPL_ASSERT(topology() == r.topology());
- // This method is only used when the system has no pending rows.
- PPL_ASSERT(num_pending_rows() == 0);
-
- const bool was_sorted = is_sorted();
-
- insert_pending_no_ok(r, Recycle_Input());
-
- if (was_sorted) {
- const dimension_type nrows = num_rows();
- // The added row may have caused the system to be not sorted anymore.
- if (nrows > 1) {
- // If the system is not empty and the inserted row is the
- // greatest one, the system is set to be sorted.
- // If it is not the greatest one then the system is no longer sorted.
- sorted = (compare(rows[nrows-2], rows[nrows-1]) <= 0);
- }
- else
- // A system having only one row is sorted.
- sorted = true;
- }
-
- unset_pending_rows();
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert_pending_no_ok(Row& r, Recycle_Input) {
- // TODO: A Grid_Generator_System may contain non-normalized lines that
- // represent parameters, so this check is disabled. Consider re-enabling it
- // when it's possibile.
- /*
- // The added row must be strongly normalized and have the same
- // number of elements as the existing rows of the system.
- PPL_ASSERT(r.check_strong_normalized());
- */
- PPL_ASSERT(r.topology() == topology());
-
- r.set_representation(representation());
-
- if (space_dimension() < r.space_dimension())
- set_space_dimension_no_ok(r.space_dimension());
- else
- r.set_space_dimension_no_ok(space_dimension());
-
- rows.resize(rows.size() + 1);
- swap(rows.back(), r);
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert_pending(const Row& r) {
- Row tmp(r, representation());
- insert_pending(tmp, Recycle_Input());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert_pending(Row& r, Recycle_Input) {
- insert_pending_no_ok(r, Recycle_Input());
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert_pending(const Linear_System& y) {
- Linear_System tmp(y, representation(), With_Pending());
- insert_pending(tmp, Recycle_Input());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert_pending(Linear_System& y, Recycle_Input) {
- Linear_System& x = *this;
- PPL_ASSERT(x.space_dimension() == y.space_dimension());
-
- // Steal the rows of `y'.
- // This loop must use an increasing index (instead of a decreasing one) to
- // preserve the row ordering.
- for (dimension_type i = 0; i < y.num_rows(); ++i)
- x.insert_pending(y.rows[i], Recycle_Input());
-
- y.clear();
-
- PPL_ASSERT(x.OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert(const Linear_System& y) {
- Linear_System tmp(y, representation(), With_Pending());
- insert(tmp, Recycle_Input());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::insert(Linear_System& y, Recycle_Input) {
- PPL_ASSERT(num_pending_rows() == 0);
-
- // Adding no rows is a no-op.
- if (y.has_no_rows())
- return;
-
- // Check if sortedness is preserved.
- if (is_sorted()) {
- if (!y.is_sorted() || y.num_pending_rows() > 0)
- sorted = false;
- else {
- // `y' is sorted and has no pending rows.
- const dimension_type n_rows = num_rows();
- if (n_rows > 0)
- sorted = (compare(rows[n_rows-1], y[0]) <= 0);
- }
- }
-
- // Add the rows of `y' as if they were pending.
- insert_pending(y, Recycle_Input());
-
- // TODO: May y have pending rows? Should they remain pending?
-
- // There are no pending_rows.
- unset_pending_rows();
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::remove_space_dimensions(const Variables_Set& vars) {
- // Dimension-compatibility assertion.
- PPL_ASSERT(space_dimension() >= vars.space_dimension());
-
- // The removal of no dimensions from any system is a no-op. This
- // case also captures the only legal removal of dimensions from a
- // 0-dim system.
- if (vars.empty())
- return;
-
- // NOTE: num_rows() is *not* constant, because it may be decreased by
- // remove_row_no_ok().
- for (dimension_type i = 0; i < num_rows(); ) {
- bool valid = rows[i].remove_space_dimensions(vars);
- if (!valid) {
- // Remove the current row.
- // We can't call remove_row(i) here, because the system is not OK as
- // some rows already have the new space dimension and others still have
- // the old one.
- remove_row_no_ok(i, false);
- } else
- ++i;
- }
-
- space_dimension_ -= vars.size();
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::shift_space_dimensions(Variable v, dimension_type n) {
- // NOTE: v.id() may be equal to the space dimension of the system
- // (when no space dimension need to be shifted).
- PPL_ASSERT(v.id() <= space_dimension());
- for (dimension_type i = rows.size(); i-- > 0; )
- rows[i].shift_space_dimensions(v, n);
- space_dimension_ += n;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::sort_rows() {
- // We sort the non-pending rows only.
- sort_rows(0, first_pending_row());
- sorted = true;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::sort_rows(const dimension_type first_row,
- const dimension_type last_row) {
- PPL_ASSERT(first_row <= last_row && last_row <= num_rows());
- // We cannot mix pending and non-pending rows.
- PPL_ASSERT(first_row >= first_pending_row()
- || last_row <= first_pending_row());
-
- bool sorting_pending = (first_row >= first_pending_row());
- const dimension_type old_num_pending = num_pending_rows();
-
- const dimension_type num_elems = last_row - first_row;
- if (num_elems < 2)
- return;
-
- // Build the function objects implementing indirect sort comparison,
- // indirect unique comparison and indirect swap operation.
- using namespace Implementation;
- typedef Swapping_Vector<Row> Cont;
- typedef Indirect_Sort_Compare<Cont, Row_Less_Than> Sort_Compare;
- typedef Indirect_Swapper<Cont> Swapper;
- const dimension_type num_duplicates
- = indirect_sort_and_unique(num_elems,
- Sort_Compare(rows, first_row),
- Unique_Compare(rows, first_row),
- Swapper(rows, first_row));
-
- if (num_duplicates > 0) {
- typedef typename Cont::iterator Iter;
- typedef typename std::iterator_traits<Iter>::difference_type diff_t;
- Iter last = rows.begin() + static_cast<diff_t>(last_row);
- Iter first = last - + static_cast<diff_t>(num_duplicates);
- rows.erase(first, last);
- }
-
- if (sorting_pending) {
- PPL_ASSERT(old_num_pending >= num_duplicates);
- index_first_pending = num_rows() - (old_num_pending - num_duplicates);
- } else {
- index_first_pending = num_rows() - old_num_pending;
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::strong_normalize() {
- const dimension_type nrows = rows.size();
- // We strongly normalize also the pending rows.
- for (dimension_type i = nrows; i-- > 0; )
- rows[i].strong_normalize();
- sorted = (nrows <= 1);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::sign_normalize() {
- const dimension_type nrows = rows.size();
- // We sign-normalize also the pending rows.
- for (dimension_type i = nrows; i-- > 0; )
- rows[i].sign_normalize();
- sorted = (nrows <= 1);
- PPL_ASSERT(OK());
-}
-
-/*! \relates Parma_Polyhedra_Library::Linear_System */
-template <typename Row>
-bool
-operator==(const Linear_System<Row>& x, const Linear_System<Row>& y) {
- if (x.space_dimension() != y.space_dimension())
- return false;
- const dimension_type x_num_rows = x.num_rows();
- const dimension_type y_num_rows = y.num_rows();
- if (x_num_rows != y_num_rows)
- return false;
- if (x.first_pending_row() != y.first_pending_row())
- return false;
- // TODO: Check if the following comment is up to date.
- // Notice that calling operator==(const Swapping_Vector<Row>&,
- // const Swapping_Vector<Row>&)
- // would be wrong here, as equality of the type fields would
- // not be checked.
- for (dimension_type i = x_num_rows; i-- > 0; )
- if (x[i] != y[i])
- return false;
- return true;
-}
-
-template <typename Row>
-void
-Linear_System<Row>::sort_and_remove_with_sat(Bit_Matrix& sat) {
- // We can only sort the non-pending part of the system.
- PPL_ASSERT(first_pending_row() == sat.num_rows());
- if (first_pending_row() <= 1) {
- set_sorted(true);
- return;
- }
-
- const dimension_type num_elems = sat.num_rows();
- // Build the function objects implementing indirect sort comparison,
- // indirect unique comparison and indirect swap operation.
- typedef Swapping_Vector<Row> Cont;
- Implementation::Indirect_Sort_Compare<Cont, Row_Less_Than> sort_cmp(rows);
- Unique_Compare unique_cmp(rows);
- Implementation::Indirect_Swapper2<Cont, Bit_Matrix> swapper(rows, sat);
-
- const dimension_type num_duplicates
- = Implementation::indirect_sort_and_unique(num_elems, sort_cmp, unique_cmp, swapper);
-
- const dimension_type new_first_pending_row
- = first_pending_row() - num_duplicates;
-
- if (num_pending_rows() > 0) {
- // In this case, we must put the duplicates after the pending rows.
- const dimension_type n_rows = num_rows() - 1;
- for (dimension_type i = 0; i < num_duplicates; ++i)
- swap(rows[new_first_pending_row + i], rows[n_rows - i]);
- }
-
- // Erasing the duplicated rows...
- rows.resize(rows.size() - num_duplicates);
- index_first_pending = new_first_pending_row;
- // ... and the corresponding rows of the saturation matrix.
- sat.remove_trailing_rows(num_duplicates);
-
- // Now the system is sorted.
- sorted = true;
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-dimension_type
-Linear_System<Row>::gauss(const dimension_type n_lines_or_equalities) {
- // This method is only applied to a linear system having no pending rows and
- // exactly `n_lines_or_equalities' lines or equalities, all of which occur
- // before the rays or points or inequalities.
- PPL_ASSERT(num_pending_rows() == 0);
- PPL_ASSERT(n_lines_or_equalities == num_lines_or_equalities());
-#ifndef NDEBUG
- for (dimension_type i = n_lines_or_equalities; i-- > 0; )
- PPL_ASSERT((*this)[i].is_line_or_equality());
-#endif
-
- dimension_type rank = 0;
- // Will keep track of the variations on the system of equalities.
- bool changed = false;
- // TODO: Don't use the number of columns.
- const dimension_type num_cols
- = is_necessarily_closed() ? space_dimension() + 1 : space_dimension() + 2;
- // TODO: Consider exploiting the row (possible) sparseness of rows in the
- // following loop, if needed. It would probably make it more cache-efficient
- // for dense rows, too.
- for (dimension_type j = num_cols; j-- > 0; )
- for (dimension_type i = rank; i < n_lines_or_equalities; ++i) {
- // Search for the first row having a non-zero coefficient
- // (the pivot) in the j-th column.
- if ((*this)[i].expr.get(j) == 0)
- continue;
- // Pivot found: if needed, swap rows so that this one becomes
- // the rank-th row in the linear system.
- if (i > rank) {
- swap(rows[i], rows[rank]);
- // After swapping the system is no longer sorted.
- changed = true;
- }
- // Combine the row containing the pivot with all the lines or
- // equalities following it, so that all the elements on the j-th
- // column in these rows become 0.
- for (dimension_type k = i + 1; k < n_lines_or_equalities; ++k) {
- if (rows[k].expr.get(Variable(j - 1)) != 0) {
- rows[k].linear_combine(rows[rank], j);
- changed = true;
- }
- }
- // Already dealt with the rank-th row.
- ++rank;
- // Consider another column index `j'.
- break;
- }
- if (changed)
- sorted = false;
-
- PPL_ASSERT(OK());
- return rank;
-}
-
-template <typename Row>
-void
-Linear_System<Row>
-::back_substitute(const dimension_type n_lines_or_equalities) {
- // This method is only applied to a system having no pending rows and
- // exactly `n_lines_or_equalities' lines or equalities, all of which occur
- // before the first ray or point or inequality.
- PPL_ASSERT(num_pending_rows() == 0);
- PPL_ASSERT(n_lines_or_equalities <= num_lines_or_equalities());
-#ifndef NDEBUG
- for (dimension_type i = n_lines_or_equalities; i-- > 0; )
- PPL_ASSERT((*this)[i].is_line_or_equality());
-#endif
-
- const dimension_type nrows = num_rows();
- // Trying to keep sortedness.
- bool still_sorted = is_sorted();
- // This deque of Booleans will be used to flag those rows that,
- // before exiting, need to be re-checked for sortedness.
- std::deque<bool> check_for_sortedness;
- if (still_sorted)
- check_for_sortedness.insert(check_for_sortedness.end(), nrows, false);
-
- for (dimension_type k = n_lines_or_equalities; k-- > 0; ) {
- // For each line or equality, starting from the last one,
- // looks for the last non-zero element.
- // `j' will be the index of such a element.
- Row& row_k = rows[k];
- dimension_type j = row_k.expr.last_nonzero();
- // TODO: Check this.
- PPL_ASSERT(j != 0);
-
- // Go through the equalities above `row_k'.
- for (dimension_type i = k; i-- > 0; ) {
- Row& row_i = rows[i];
- if (row_i.expr.get(Variable(j - 1)) != 0) {
- // Combine linearly `row_i' with `row_k'
- // so that `row_i[j]' becomes zero.
- row_i.linear_combine(row_k, j);
- if (still_sorted) {
- // Trying to keep sortedness: remember which rows
- // have to be re-checked for sortedness at the end.
- if (i > 0)
- check_for_sortedness[i-1] = true;
- check_for_sortedness[i] = true;
- }
- }
- }
-
- // Due to strong normalization during previous iterations,
- // the pivot coefficient `row_k[j]' may now be negative.
- // Since an inequality (or ray or point) cannot be multiplied
- // by a negative factor, the coefficient of the pivot must be
- // forced to be positive.
- const bool have_to_negate = (row_k.expr.get(Variable(j - 1)) < 0);
- if (have_to_negate)
- neg_assign(row_k.expr);
-
- // NOTE: Here row_k will *not* be ok if we have negated it.
-
- // Note: we do not mark index `k' in `check_for_sortedness',
- // because we will later negate back the row.
-
- // Go through all the other rows of the system.
- for (dimension_type i = n_lines_or_equalities; i < nrows; ++i) {
- Row& row_i = rows[i];
- if (row_i.expr.get(Variable(j - 1)) != 0) {
- // Combine linearly the `row_i' with `row_k'
- // so that `row_i[j]' becomes zero.
- row_i.linear_combine(row_k, j);
- if (still_sorted) {
- // Trying to keep sortedness: remember which rows
- // have to be re-checked for sortedness at the end.
- if (i > n_lines_or_equalities)
- check_for_sortedness[i-1] = true;
- check_for_sortedness[i] = true;
- }
- }
- }
- if (have_to_negate)
- // Negate `row_k' to restore strong-normalization.
- neg_assign(row_k.expr);
-
- PPL_ASSERT(row_k.OK());
- }
-
- // Trying to keep sortedness.
- for (dimension_type i = 0; still_sorted && i+1 < nrows; ++i)
- if (check_for_sortedness[i])
- // Have to check sortedness of `(*this)[i]' with respect to `(*this)[i+1]'.
- still_sorted = (compare((*this)[i], (*this)[i+1]) <= 0);
-
- // Set the sortedness flag.
- sorted = still_sorted;
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>::simplify() {
- // This method is only applied to a system having no pending rows.
- PPL_ASSERT(num_pending_rows() == 0);
-
- // Partially sort the linear system so that all lines/equalities come first.
- const dimension_type old_nrows = num_rows();
- dimension_type nrows = old_nrows;
- dimension_type n_lines_or_equalities = 0;
- for (dimension_type i = 0; i < nrows; ++i)
- if ((*this)[i].is_line_or_equality()) {
- if (n_lines_or_equalities < i) {
- swap(rows[i], rows[n_lines_or_equalities]);
- // The system was not sorted.
- PPL_ASSERT(!sorted);
- }
- ++n_lines_or_equalities;
- }
- // Apply Gaussian elimination to the subsystem of lines/equalities.
- const dimension_type rank = gauss(n_lines_or_equalities);
- // Eliminate any redundant line/equality that has been detected.
- if (rank < n_lines_or_equalities) {
- const dimension_type
- n_rays_or_points_or_inequalities = nrows - n_lines_or_equalities;
- const dimension_type
- num_swaps = std::min(n_lines_or_equalities - rank,
- n_rays_or_points_or_inequalities);
- for (dimension_type i = num_swaps; i-- > 0; )
- swap(rows[--nrows], rows[rank + i]);
- remove_trailing_rows(old_nrows - nrows);
- if (n_rays_or_points_or_inequalities > num_swaps)
- set_sorted(false);
- unset_pending_rows();
- n_lines_or_equalities = rank;
- }
- // Apply back-substitution to the system of rays/points/inequalities.
- back_substitute(n_lines_or_equalities);
-
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Linear_System<Row>
-::add_universe_rows_and_space_dimensions(const dimension_type n) {
- PPL_ASSERT(n > 0);
- const bool was_sorted = is_sorted();
- const dimension_type old_n_rows = num_rows();
- const dimension_type old_space_dim
- = is_necessarily_closed() ? space_dimension() : space_dimension() + 1;
- set_space_dimension(space_dimension() + n);
- rows.resize(rows.size() + n);
- // The old system is moved to the bottom.
- for (dimension_type i = old_n_rows; i-- > 0; )
- swap(rows[i], rows[i + n]);
- for (dimension_type i = n, c = old_space_dim; i-- > 0; ) {
- // The top right-hand sub-system (i.e., the system made of new
- // rows and columns) is set to the specular image of the identity
- // matrix.
- if (Variable(c).space_dimension() <= space_dimension()) {
- // Variable(c) is a user variable.
- Linear_Expression le(representation());
- le.set_space_dimension(space_dimension());
- le += Variable(c);
- Row r(le, Row::LINE_OR_EQUALITY, row_topology);
- swap(r, rows[i]);
- } else {
- // Variable(c) is the epsilon dimension.
- PPL_ASSERT(row_topology == NOT_NECESSARILY_CLOSED);
- Linear_Expression le(Variable(c), representation());
- Row r(le, Row::LINE_OR_EQUALITY, NECESSARILY_CLOSED);
- r.mark_as_not_necessarily_closed();
- swap(r, rows[i]);
- // Note: `r' is strongly normalized.
- }
- ++c;
- }
- // If the old system was empty, the last row added is either
- // a positivity constraint or a point.
- if (was_sorted)
- sorted = (compare(rows[n-1], rows[n]) <= 0);
-
- // If the system is not necessarily closed, move the epsilon coefficients to
- // the last column.
- if (!is_necessarily_closed()) {
- // Try to preserve sortedness of `gen_sys'.
- PPL_ASSERT(old_space_dim != 0);
- if (!is_sorted()) {
- for (dimension_type i = n; i-- > 0; ) {
- rows[i].expr.swap_space_dimensions(Variable(old_space_dim - 1),
- Variable(old_space_dim - 1 + n));
- PPL_ASSERT(rows[i].OK());
- }
- } else {
- dimension_type old_eps_index = old_space_dim - 1;
- // The upper-right corner of `rows' contains the J matrix:
- // swap coefficients to preserve sortedness.
- for (dimension_type i = n; i-- > 0; ++old_eps_index) {
- rows[i].expr.swap_space_dimensions(Variable(old_eps_index),
- Variable(old_eps_index + 1));
- PPL_ASSERT(rows[i].OK());
- }
-
- sorted = true;
- }
- }
- // NOTE: this already checks for OK().
- set_index_first_pending_row(index_first_pending + n);
-}
-
-template <typename Row>
-void
-Linear_System<Row>::sort_pending_and_remove_duplicates() {
- PPL_ASSERT(num_pending_rows() > 0);
- PPL_ASSERT(is_sorted());
-
- // The non-pending part of the system is already sorted.
- // Now sorting the pending part..
- const dimension_type first_pending = first_pending_row();
- sort_rows(first_pending, num_rows());
- // Recompute the number of rows, because we may have removed
- // some rows occurring more than once in the pending part.
- const dimension_type old_num_rows = num_rows();
- dimension_type num_rows = old_num_rows;
-
- dimension_type k1 = 0;
- dimension_type k2 = first_pending;
- dimension_type num_duplicates = 0;
- // In order to erase them, put at the end of the system
- // those pending rows that also occur in the non-pending part.
- while (k1 < first_pending && k2 < num_rows) {
- const int cmp = compare(rows[k1], rows[k2]);
- if (cmp == 0) {
- // We found the same row.
- ++num_duplicates;
- --num_rows;
- // By initial sortedness, we can increment index `k1'.
- ++k1;
- // Do not increment `k2'; instead, swap there the next pending row.
- if (k2 < num_rows)
- swap(rows[k2], rows[k2 + num_duplicates]);
- }
- else if (cmp < 0)
- // By initial sortedness, we can increment `k1'.
- ++k1;
- else {
- // Here `cmp > 0'.
- // Increment `k2' and, if we already found any duplicate,
- // swap the next pending row in position `k2'.
- ++k2;
- if (num_duplicates > 0 && k2 < num_rows)
- swap(rows[k2], rows[k2 + num_duplicates]);
- }
- }
- // If needed, swap any duplicates found past the pending rows
- // that has not been considered yet; then erase the duplicates.
- if (num_duplicates > 0) {
- if (k2 < num_rows)
- for (++k2; k2 < num_rows; ++k2)
- swap(rows[k2], rows[k2 + num_duplicates]);
- rows.resize(num_rows);
- }
- sorted = true;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-bool
-Linear_System<Row>::check_sorted() const {
- for (dimension_type i = first_pending_row(); i-- > 1; )
- if (compare(rows[i], rows[i-1]) < 0)
- return false;
- return true;
-}
-
-template <typename Row>
-bool
-Linear_System<Row>::OK() const {
-#ifndef NDEBUG
- using std::endl;
- using std::cerr;
-#endif
-
- for (dimension_type i = rows.size(); i-- > 0; ) {
- if (rows[i].representation() != representation()) {
-#ifndef NDEBUG
- cerr << "Linear_System has a row with the wrong representation!"
- << endl;
-#endif
- return false;
- }
- if (rows[i].space_dimension() != space_dimension()) {
-#ifndef NDEBUG
- cerr << "Linear_System has a row with the wrong number of space dimensions!"
- << endl;
-#endif
- return false;
- }
- }
-
- for (dimension_type i = rows.size(); i-- > 0; )
- if (rows[i].topology() != topology()) {
-#ifndef NDEBUG
- cerr << "Linear_System has a row with the wrong topology!"
- << endl;
-#endif
- return false;
- }
-
- // `index_first_pending' must be less than or equal to `num_rows()'.
- if (first_pending_row() > num_rows()) {
-#ifndef NDEBUG
- cerr << "Linear_System has a negative number of pending rows!"
- << endl;
-#endif
- return false;
- }
-
- // Check for topology mismatches.
- const dimension_type n_rows = num_rows();
- for (dimension_type i = 0; i < n_rows; ++i)
- if (topology() != rows[i].topology()) {
-#ifndef NDEBUG
- cerr << "Topology mismatch between the system "
- << "and one of its rows!"
- << endl;
-#endif
- return false;
- }
-
- if (sorted && !check_sorted()) {
-#ifndef NDEBUG
- cerr << "The system declares itself to be sorted but it is not!"
- << endl;
-#endif
- return false;
- }
-
- // All checks passed.
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_System_templates_hh)
diff --git a/src/Linear_System.types.hh b/src/Linear_System.types.hh
deleted file mode 100644
index 7e45c24..0000000
--- a/src/Linear_System.types.hh
+++ /dev/null
@@ -1,26 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Linear_System_types_hh
-#define PPL_Linear_System_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-class Linear_System;
-
-template <typename Row>
-class Linear_System_With_Bit_Matrix_iterator;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Linear_System_types_hh)
diff --git a/src/Linear_System_defs.hh b/src/Linear_System_defs.hh
new file mode 100644
index 0000000..e2d5168
--- /dev/null
+++ b/src/Linear_System_defs.hh
@@ -0,0 +1,582 @@
+/* Linear_System class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_System_defs_hh
+#define PPL_Linear_System_defs_hh 1
+
+#include "Linear_System_types.hh"
+
+#include "Swapping_Vector_defs.hh"
+#include "globals_defs.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_defs.hh"
+
+#include "Polyhedron_types.hh"
+#include "Bit_Row_types.hh"
+#include "Bit_Matrix_types.hh"
+#include "Generator_System_types.hh"
+#include "Topology_types.hh"
+
+// TODO: Check how much of this description is still true.
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The base class for systems of constraints and generators.
+/*! \ingroup PPL_CXX_interface
+ An object of this class represents either a constraint system
+ or a generator system. Each Linear_System object can be viewed
+ as a finite sequence of strong-normalized Row objects,
+ where each Row implements a constraint or a generator.
+ Linear systems are characterized by the matrix of coefficients,
+ also encoding the number, size and capacity of Row objects,
+ as well as a few additional information, including:
+ - the topological kind of (all) the rows;
+ - an indication of whether or not some of the rows in the Linear_System
+ are <EM>pending</EM>, meaning that they still have to undergo
+ an (unspecified) elaboration; if there are pending rows, then these
+ form a proper suffix of the overall sequence of rows;
+ - a Boolean flag that, when <CODE>true</CODE>, ensures that the
+ non-pending prefix of the sequence of rows is sorted.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+class Parma_Polyhedra_Library::Linear_System {
+public:
+
+ // NOTE: `iterator' is actually a const_iterator.
+ typedef typename Swapping_Vector<Row>::const_iterator iterator;
+ typedef typename Swapping_Vector<Row>::const_iterator const_iterator;
+
+ //! Builds an empty linear system with specified topology.
+ /*!
+ Rows size and capacity are initialized to \f$0\f$.
+ */
+ Linear_System(Topology topol, Representation r);
+
+ //! Builds a system with specified topology and dimensions.
+ /*!
+ \param topol
+ The topology of the system that will be created;
+
+ \param space_dim
+ The number of space dimensions of the system that will be created.
+
+ \param r
+ The representation for system's rows.
+
+ Creates a \p n_rows \f$\times\f$ \p space_dim system whose
+ coefficients are all zero and with the given topology.
+ */
+ Linear_System(Topology topol, dimension_type space_dim, Representation r);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! A tag class.
+ /*! \ingroup PPL_CXX_interface
+ Tag class to differentiate the Linear_System copy constructor that
+ copies pending rows as pending from the one that transforms
+ pending rows into non-pending ones.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ struct With_Pending {
+ };
+
+ //! Copy constructor: pending rows are transformed into non-pending ones.
+ Linear_System(const Linear_System& y);
+
+ //! Copy constructor with specified representation. Pending rows are
+ //! transformed into non-pending ones.
+ Linear_System(const Linear_System& y, Representation r);
+
+ //! Full copy constructor: pending rows are copied as pending.
+ Linear_System(const Linear_System& y, With_Pending);
+
+ //! Full copy constructor: pending rows are copied as pending.
+ Linear_System(const Linear_System& y, Representation r, With_Pending);
+
+ //! Assignment operator: pending rows are transformed into non-pending ones.
+ Linear_System& operator=(const Linear_System& y);
+
+ //! Full assignment operator: pending rows are copied as pending.
+ void assign_with_pending(const Linear_System& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Linear_System& y);
+
+ //! Returns the current representation of *this.
+ Representation representation() const;
+
+ //! Converts *this to the specified representation.
+ void set_representation(Representation r);
+
+ //! Returns the maximum space dimension a Linear_System can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the space dimension of the rows in the system.
+ /*!
+ The computation of the space dimension correctly ignores
+ the column encoding the inhomogeneous terms of constraint
+ (resp., the divisors of generators);
+ if the system topology is <CODE>NOT_NECESSARILY_CLOSED</CODE>,
+ also the column of the \f$\epsilon\f$-dimension coefficients
+ will be ignored.
+ */
+ dimension_type space_dimension() const;
+
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ void set_space_dimension(dimension_type space_dim);
+
+ //! Makes the system shrink by removing its \p n trailing rows.
+ void remove_trailing_rows(dimension_type n);
+
+ //! Makes the system shrink by removing its i-th row.
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(n).
+
+ Otherwise, this method just swaps the i-th row with the last and then
+ removes it, so it costs O(1).
+ */
+ void remove_row(dimension_type i, bool keep_sorted = false);
+
+ //! Makes the system shrink by removing the rows in [first,last).
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(num_rows()).
+
+ Otherwise, this method just swaps the rows with the last ones and then
+ removes them, so it costs O(last - first).
+ */
+ void remove_rows(dimension_type first, dimension_type last,
+ bool keep_sorted = false);
+
+ // TODO: Consider removing this.
+ //! Removes the specified rows. The row ordering of remaining rows is
+ //! preserved.
+ /*!
+ \param indexes specifies a list of row indexes.
+ It must be sorted.
+ */
+ void remove_rows(const std::vector<dimension_type>& indexes);
+
+ // TODO: Consider making this private.
+ //! Removes all the specified dimensions from the system.
+ /*!
+ The space dimension of the variable with the highest space
+ dimension in \p vars must be at most the space dimension
+ of \p this.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ //! Shift by \p n positions the coefficients of variables, starting from
+ //! the coefficient of \p v. This increases the space dimension by \p n.
+ void shift_space_dimensions(Variable v, dimension_type n);
+
+ // TODO: Consider making this private.
+ //! Permutes the space dimensions of the matrix.
+ /*
+ \param cycle
+ A vector representing a cycle of the permutation according to which the
+ space dimensions must be rearranged.
+
+ The \p cycle vector represents a cycle of a permutation of space
+ dimensions.
+ For example, the permutation
+ \f$ \{ x_1 \mapsto x_2, x_2 \mapsto x_3, x_3 \mapsto x_1 \}\f$ can be
+ represented by the vector containing \f$ x_1, x_2, x_3 \f$.
+ */
+ void permute_space_dimensions(const std::vector<Variable>& cycle);
+
+ //! Swaps the coefficients of the variables \p v1 and \p v2 .
+ void swap_space_dimensions(Variable v1, Variable v2);
+
+ //! \name Subscript operators
+ //@{
+ //! Returns a const reference to the \p k-th row of the system.
+ const Row& operator[](dimension_type k) const;
+ //@} // Subscript operators
+
+ iterator begin();
+ iterator end();
+ const_iterator begin() const;
+ const_iterator end() const;
+
+ bool has_no_rows() const;
+ dimension_type num_rows() const;
+
+ //! Strongly normalizes the system.
+ void strong_normalize();
+
+ //! Sign-normalizes the system.
+ void sign_normalize();
+
+ //! \name Accessors
+ //@{
+ //! Returns the system topology.
+ Topology topology() const;
+
+ //! Returns the value of the sortedness flag.
+ bool is_sorted() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ the system topology is <CODE>NECESSARILY_CLOSED</CODE>.
+ */
+ bool is_necessarily_closed() const;
+
+ /*! \brief
+ Returns the number of rows in the system
+ that represent either lines or equalities.
+ */
+ dimension_type num_lines_or_equalities() const;
+
+ //! Returns the index of the first pending row.
+ dimension_type first_pending_row() const;
+
+ //! Returns the number of rows that are in the pending part of the system.
+ dimension_type num_pending_rows() const;
+ //@} // Accessors
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is sorted,
+ without checking for duplicates.
+ */
+ bool check_sorted() const;
+
+ //! Sets the system topology to \p t .
+ void set_topology(Topology t);
+
+ //! Sets the system topology to <CODE>NECESSARILY_CLOSED</CODE>.
+ void set_necessarily_closed();
+
+ //! Sets the system topology to <CODE>NOT_NECESSARILY_CLOSED</CODE>.
+ void set_not_necessarily_closed();
+
+ // TODO: Consider removing this, or making it private.
+ //! Marks the epsilon dimension as a standard dimension.
+ /*!
+ The system topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is increased by 1.
+ */
+ void mark_as_necessarily_closed();
+
+ // TODO: Consider removing this, or making it private.
+ //! Marks the last dimension as the epsilon dimension.
+ /*!
+ The system topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
+ the number of space dimensions is decreased by 1.
+ */
+ void mark_as_not_necessarily_closed();
+
+ //! Sets the index to indicate that the system has no pending rows.
+ void unset_pending_rows();
+
+ //! Sets the index of the first pending row to \p i.
+ void set_index_first_pending_row(dimension_type i);
+
+ //! Sets the sortedness flag of the system to \p b.
+ void set_sorted(bool b);
+
+ //! Adds \p n rows and space dimensions to the system.
+ /*!
+ \param n
+ The number of rows and space dimensions to be added: must be strictly
+ positive.
+
+ Turns the system \f$M \in \Rset^r \times \Rset^c\f$ into
+ the system \f$N \in \Rset^{r+n} \times \Rset^{c+n}\f$
+ such that
+ \f$N = \bigl(\genfrac{}{}{0pt}{}{0}{M}\genfrac{}{}{0pt}{}{J}{o}\bigr)\f$,
+ where \f$J\f$ is the specular image
+ of the \f$n \times n\f$ identity matrix.
+ */
+ void add_universe_rows_and_space_dimensions(dimension_type n);
+
+ /*! \brief
+ Adds a copy of \p r to the system,
+ automatically resizing the system or the row's copy, if needed.
+ */
+ void insert(const Row& r);
+
+ /*! \brief
+ Adds a copy of the given row to the pending part of the system,
+ automatically resizing the system or the row, if needed.
+ */
+ void insert_pending(const Row& r);
+
+ /*! \brief
+ Adds \p r to the system, stealing its contents and
+ automatically resizing the system or the row, if needed.
+ */
+ void insert(Row& r, Recycle_Input);
+
+ /*! \brief
+ Adds the given row to the pending part of the system, stealing its
+ contents and automatically resizing the system or the row, if needed.
+ */
+ void insert_pending(Row& r, Recycle_Input);
+
+ //! Adds to \p *this a copy of the rows of \p y.
+ /*!
+ It is assumed that \p *this has no pending rows.
+ */
+ void insert(const Linear_System& y);
+
+ //! Adds a copy of the rows of `y' to the pending part of `*this'.
+ void insert_pending(const Linear_System& r);
+
+ //! Adds to \p *this a the rows of `y', stealing them from `y'.
+ /*!
+ It is assumed that \p *this has no pending rows.
+ */
+ void insert(Linear_System& r, Recycle_Input);
+
+ //! Adds the rows of `y' to the pending part of `*this', stealing them from
+ //! `y'.
+ void insert_pending(Linear_System& r, Recycle_Input);
+
+ /*! \brief
+ Sorts the non-pending rows (in growing order) and eliminates
+ duplicated ones.
+ */
+ void sort_rows();
+
+ /*! \brief
+ Sorts the rows (in growing order) form \p first_row to
+ \p last_row and eliminates duplicated ones.
+ */
+ void sort_rows(dimension_type first_row, dimension_type last_row);
+
+ /*! \brief
+ Assigns to \p *this the result of merging its rows with
+ those of \p y, obtaining a sorted system.
+
+ Duplicated rows will occur only once in the result.
+ On entry, both systems are assumed to be sorted and have
+ no pending rows.
+ */
+ void merge_rows_assign(const Linear_System& y);
+
+ /*! \brief
+ Sorts the pending rows and eliminates those that also occur
+ in the non-pending part of the system.
+ */
+ void sort_pending_and_remove_duplicates();
+
+ /*! \brief
+ Sorts the system, removing duplicates, keeping the saturation
+ matrix consistent.
+
+ \param sat
+ Bit matrix with rows corresponding to the rows of \p *this.
+ */
+ void sort_and_remove_with_sat(Bit_Matrix& sat);
+
+ //! Minimizes the subsystem of equations contained in \p *this.
+ /*!
+ This method works only on the equalities of the system:
+ the system is required to be partially sorted, so that
+ all the equalities are grouped at its top; it is assumed that
+ the number of equalities is exactly \p n_lines_or_equalities.
+ The method finds a minimal system for the equalities and
+ returns its rank, i.e., the number of linearly independent equalities.
+ The result is an upper triangular subsystem of equalities:
+ for each equality, the pivot is chosen starting from
+ the right-most space dimensions.
+ */
+ dimension_type gauss(dimension_type n_lines_or_equalities);
+
+ /*! \brief
+ Back-substitutes the coefficients to reduce
+ the complexity of the system.
+
+ Takes an upper triangular system having \p n_lines_or_equalities rows.
+ For each row, starting from the one having the minimum number of
+ coefficients different from zero, computes the expression of an element
+ as a function of the remaining ones and then substitutes this expression
+ in all the other rows.
+ */
+ void back_substitute(dimension_type n_lines_or_equalities);
+
+ /*! \brief
+ Applies Gaussian elimination and back-substitution so as to
+ simplify the linear system.
+ */
+ void simplify();
+
+ //! Clears the system deallocating all its rows.
+ void clear();
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+
+ Reads into a Linear_System object the information produced by the
+ output of ascii_dump(std::ostream&) const. The specialized methods
+ provided by Constraint_System and Generator_System take care of
+ properly reading the contents of the system.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! The vector that contains the rows.
+ /*!
+ \note This is public for convenience. Clients that modify if must preserve
+ the class invariant.
+ */
+ Swapping_Vector<Row> rows;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+private:
+ //! Makes the system shrink by removing its i-th row.
+ /*!
+ When \p keep_sorted is \p true and the system is sorted, sortedness will
+ be preserved, but this method costs O(n).
+
+ Otherwise, this method just swaps the i-th row with the last and then
+ removes it, so it costs O(1).
+
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid systems.
+ */
+ void remove_row_no_ok(dimension_type i, bool keep_sorted = false);
+
+ /*! \brief
+ Adds \p r to the pending part of the system, stealing its contents and
+ automatically resizing the system or the row, if needed.
+
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid systems.
+ */
+ void insert_pending_no_ok(Row& r, Recycle_Input);
+
+ /*! \brief
+ Adds \p r to the system, stealing its contents and
+ automatically resizing the system or the row, if needed.
+
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid systems.
+ */
+ void insert_no_ok(Row& r, Recycle_Input);
+
+ //! Sets the space dimension of the rows in the system to \p space_dim .
+ /*!
+ This method is for internal use, it does *not* assert OK() at the end,
+ so it can be used for invalid systems.
+ */
+ void set_space_dimension_no_ok(dimension_type space_dim);
+
+ //! Swaps the [first,last) row interval with the
+ //! [first + offset, last + offset) interval.
+ /*!
+ These intervals may not be disjunct.
+
+ Sorting of these intervals is *not* preserved.
+
+ Either both intervals contain only not-pending rows, or they both
+ contain pending rows.
+ */
+ void swap_row_intervals(dimension_type first, dimension_type last,
+ dimension_type offset);
+
+ //! The space dimension of each row. All rows must have this number of
+ //! space dimensions.
+ dimension_type space_dimension_;
+
+ //! The topological kind of the rows in the system. All rows must have this
+ //! topology.
+ Topology row_topology;
+
+ //! The index of the first pending row.
+ dimension_type index_first_pending;
+
+ /*! \brief
+ <CODE>true</CODE> if rows are sorted in the ascending order as defined by
+ <CODE>bool compare(const Row&, const Row&)</CODE>.
+ If <CODE>false</CODE> may not be sorted.
+ */
+ bool sorted;
+
+ Representation representation_;
+
+ //! Ordering predicate (used when implementing the sort algorithm).
+ struct Row_Less_Than {
+ bool operator()(const Row& x, const Row& y) const;
+ };
+
+ //! Comparison predicate (used when implementing the unique algorithm).
+ struct Unique_Compare {
+ Unique_Compare(const Swapping_Vector<Row>& cont,
+ dimension_type base = 0);
+
+ bool operator()(dimension_type i, dimension_type j) const;
+
+ const Swapping_Vector<Row>& container;
+ const dimension_type base_index;
+ };
+
+ friend class Polyhedron;
+ friend class Generator_System;
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates Linear_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+void swap(Parma_Polyhedra_Library::Linear_System<Row>& x,
+ Parma_Polyhedra_Library::Linear_System<Row>& y);
+
+} // namespace std
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates Linear_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+bool operator==(const Linear_System<Row>& x, const Linear_System<Row>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Linear_System */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+bool operator!=(const Linear_System<Row>& x, const Linear_System<Row>& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Linear_System_inlines.hh"
+#include "Linear_System_templates.hh"
+
+#endif // !defined(PPL_Linear_System_defs_hh)
diff --git a/src/Linear_System_inlines.hh b/src/Linear_System_inlines.hh
new file mode 100644
index 0000000..a2aedba
--- /dev/null
+++ b/src/Linear_System_inlines.hh
@@ -0,0 +1,698 @@
+/* Linear_System class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_System_inlines_hh
+#define PPL_Linear_System_inlines_hh 1
+
+#include "Bit_Row_defs.hh"
+#include "Coefficient_defs.hh"
+
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+inline memory_size_type
+Linear_System<Row>::external_memory_in_bytes() const {
+ return rows.external_memory_in_bytes();
+}
+
+template <typename Row>
+inline memory_size_type
+Linear_System<Row>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename Row>
+inline bool
+Linear_System<Row>::is_sorted() const {
+ // The flag `sorted' does not really reflect the sortedness status
+ // of a system (if `sorted' evaluates to `false' nothing is known).
+ // This assertion is used to ensure that the system
+ // is actually sorted when `sorted' value is 'true'.
+ PPL_ASSERT(!sorted || check_sorted());
+ return sorted;
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_sorted(const bool b) {
+ sorted = b;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Linear_System(Topology topol, Representation r)
+ : rows(),
+ space_dimension_(0),
+ row_topology(topol),
+ index_first_pending(0),
+ sorted(true),
+ representation_(r) {
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Linear_System(Topology topol,
+ dimension_type space_dim,
+ Representation r)
+ : rows(),
+ space_dimension_(0),
+ row_topology(topol),
+ index_first_pending(0),
+ sorted(true),
+ representation_(r) {
+ set_space_dimension(space_dim);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline dimension_type
+Linear_System<Row>::first_pending_row() const {
+ return index_first_pending;
+}
+
+template <typename Row>
+inline dimension_type
+Linear_System<Row>::num_pending_rows() const {
+ PPL_ASSERT(num_rows() >= first_pending_row());
+ return num_rows() - first_pending_row();
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::unset_pending_rows() {
+ index_first_pending = num_rows();
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_index_first_pending_row(const dimension_type i) {
+ index_first_pending = i;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Linear_System(const Linear_System& y)
+ : rows(y.rows),
+ space_dimension_(y.space_dimension_),
+ row_topology(y.row_topology),
+ representation_(y.representation_) {
+ // Previously pending rows may violate sortedness.
+ sorted = (y.num_pending_rows() > 0) ? false : y.sorted;
+ unset_pending_rows();
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Linear_System(const Linear_System& y, Representation r)
+ : rows(),
+ space_dimension_(y.space_dimension_),
+ row_topology(y.row_topology),
+ representation_(r) {
+ rows.resize(y.num_rows());
+ for (dimension_type i = 0; i < y.num_rows(); ++i) {
+ // Create the copies with the right representation.
+ Row row(y.rows[i], r);
+ swap(rows[i], row);
+ }
+ // Previously pending rows may violate sortedness.
+ sorted = (y.num_pending_rows() > 0) ? false : y.sorted;
+ unset_pending_rows();
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Linear_System(const Linear_System& y, With_Pending)
+ : rows(y.rows),
+ space_dimension_(y.space_dimension_),
+ row_topology(y.row_topology),
+ index_first_pending(y.index_first_pending),
+ sorted(y.sorted),
+ representation_(y.representation_) {
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Linear_System(const Linear_System& y, Representation r,
+ With_Pending)
+ : rows(),
+ space_dimension_(y.space_dimension_),
+ row_topology(y.row_topology),
+ index_first_pending(y.index_first_pending),
+ sorted(y.sorted),
+ representation_(r) {
+ rows.resize(y.num_rows());
+ for (dimension_type i = 0; i < y.num_rows(); ++i) {
+ // Create the copies with the right representation.
+ Row row(y.rows[i], r);
+ swap(rows[i], row);
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline Linear_System<Row>&
+Linear_System<Row>::operator=(const Linear_System& y) {
+ // NOTE: Pending rows are transformed into non-pending ones.
+ Linear_System<Row> tmp = y;
+ swap(*this, tmp);
+ return *this;
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::assign_with_pending(const Linear_System& y) {
+ Linear_System<Row> tmp(y, With_Pending());
+ swap(*this, tmp);
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::m_swap(Linear_System& y) {
+ using std::swap;
+ swap(rows, y.rows);
+ swap(space_dimension_, y.space_dimension_);
+ swap(row_topology, y.row_topology);
+ swap(index_first_pending, y.index_first_pending);
+ swap(sorted, y.sorted);
+ swap(representation_, y.representation_);
+ PPL_ASSERT(OK());
+ PPL_ASSERT(y.OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::clear() {
+ // Note: do NOT modify the value of `row_topology' and `representation'.
+ rows.clear();
+ index_first_pending = 0;
+ sorted = true;
+ space_dimension_ = 0;
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::mark_as_necessarily_closed() {
+ PPL_ASSERT(topology() == NOT_NECESSARILY_CLOSED);
+ row_topology = NECESSARILY_CLOSED;
+ ++space_dimension_;
+ for (dimension_type i = num_rows(); i-- > 0; )
+ rows[i].mark_as_necessarily_closed();
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::mark_as_not_necessarily_closed() {
+ PPL_ASSERT(topology() == NECESSARILY_CLOSED);
+ PPL_ASSERT(space_dimension() > 0);
+ row_topology = NOT_NECESSARILY_CLOSED;
+ --space_dimension_;
+ for (dimension_type i = num_rows(); i-- > 0; )
+ rows[i].mark_as_not_necessarily_closed();
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_topology(Topology t) {
+ if (topology() == t)
+ return;
+ for (dimension_type i = num_rows(); i-- > 0; )
+ rows[i].set_topology(t);
+ row_topology = t;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_necessarily_closed() {
+ set_topology(NECESSARILY_CLOSED);
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_not_necessarily_closed() {
+ set_topology(NOT_NECESSARILY_CLOSED);
+}
+
+template <typename Row>
+inline bool
+Linear_System<Row>::is_necessarily_closed() const {
+ return row_topology == NECESSARILY_CLOSED;
+}
+
+template <typename Row>
+inline const Row&
+Linear_System<Row>::operator[](const dimension_type k) const {
+ return rows[k];
+}
+
+template <typename Row>
+inline typename Linear_System<Row>::iterator
+Linear_System<Row>::begin() {
+ return rows.begin();
+}
+
+template <typename Row>
+inline typename Linear_System<Row>::iterator
+Linear_System<Row>::end() {
+ return rows.end();
+}
+
+template <typename Row>
+inline typename Linear_System<Row>::const_iterator
+Linear_System<Row>::begin() const {
+ return rows.begin();
+}
+
+template <typename Row>
+inline typename Linear_System<Row>::const_iterator
+Linear_System<Row>::end() const {
+ return rows.end();
+}
+
+template <typename Row>
+inline bool
+Linear_System<Row>::has_no_rows() const {
+ return rows.empty();
+}
+
+template <typename Row>
+inline dimension_type
+Linear_System<Row>::num_rows() const {
+ return rows.size();
+}
+
+template <typename Row>
+inline Topology
+Linear_System<Row>::topology() const {
+ return row_topology;
+}
+
+template <typename Row>
+inline Representation
+Linear_System<Row>::representation() const {
+ return representation_;
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_representation(Representation r) {
+ representation_ = r;
+ for (dimension_type i = 0; i < rows.size(); ++i)
+ rows[i].set_representation(r);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline dimension_type
+Linear_System<Row>::max_space_dimension() {
+ return Row::max_space_dimension();
+}
+
+template <typename Row>
+inline dimension_type
+Linear_System<Row>::space_dimension() const {
+ return space_dimension_;
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_space_dimension_no_ok(dimension_type space_dim) {
+ for (dimension_type i = rows.size(); i-- > 0; )
+ rows[i].set_space_dimension_no_ok(space_dim);
+ space_dimension_ = space_dim;
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::set_space_dimension(dimension_type space_dim) {
+ set_space_dimension_no_ok(space_dim);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::remove_row_no_ok(const dimension_type i,
+ const bool keep_sorted) {
+ PPL_ASSERT(i < num_rows());
+ const bool was_pending = (i >= index_first_pending);
+
+ if (sorted && keep_sorted && !was_pending) {
+ for (dimension_type j = i + 1; j < rows.size(); ++j)
+ swap(rows[j], rows[j-1]);
+ rows.pop_back();
+ }
+ else {
+ if (!was_pending)
+ sorted = false;
+ const bool last_row_is_pending = (num_rows() - 1 >= index_first_pending);
+ if (was_pending == last_row_is_pending)
+ // Either both rows are pending or both rows are not pending.
+ swap(rows[i], rows.back());
+ else {
+ // Pending rows are stored after the non-pending ones.
+ PPL_ASSERT(!was_pending);
+ PPL_ASSERT(last_row_is_pending);
+
+ // Swap the row with the last non-pending row.
+ swap(rows[i], rows[index_first_pending - 1]);
+
+ // Now the (non-pending) row that has to be deleted is between the
+ // non-pending and the pending rows.
+ swap(rows[i], rows.back());
+ }
+ rows.pop_back();
+ }
+ if (!was_pending)
+ // A non-pending row has been removed.
+ --index_first_pending;
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::remove_row(const dimension_type i, bool keep_sorted) {
+ remove_row_no_ok(i, keep_sorted);
+ PPL_ASSERT(OK());
+}
+
+
+template <typename Row>
+inline void
+Linear_System<Row>::remove_rows(dimension_type first,
+ dimension_type last,
+ bool keep_sorted) {
+ PPL_ASSERT(first <= last);
+ PPL_ASSERT(last <= num_rows());
+ const dimension_type n = last - first;
+
+ if (n == 0)
+ return;
+
+ // All the rows that have to be removed must have the same (pending or
+ // non-pending) status.
+ PPL_ASSERT(first >= index_first_pending || last <= index_first_pending);
+
+ const bool were_pending = (first >= index_first_pending);
+
+ // Move the rows in [first,last) at the end of the system.
+ if (sorted && keep_sorted && !were_pending) {
+ // Preserve the row ordering.
+ for (dimension_type i = last; i < rows.size(); ++i)
+ swap(rows[i], rows[i - n]);
+
+ rows.resize(rows.size() - n);
+
+ // `n' non-pending rows have been removed.
+ index_first_pending -= n;
+
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // We can ignore the row ordering, but we must not mix pending and
+ // non-pending rows.
+
+ const dimension_type offset = rows.size() - n - first;
+ // We want to swap the rows in [first, last) and
+ // [first + offset, last + offset) (note that these intervals may not be
+ // disjunct).
+
+ if (index_first_pending == num_rows()) {
+ // There are no pending rows.
+ PPL_ASSERT(!were_pending);
+
+ swap_row_intervals(first, last, offset);
+
+ rows.resize(rows.size() - n);
+
+ // `n' non-pending rows have been removed.
+ index_first_pending -= n;
+ }
+ else {
+ // There are some pending rows in [first + offset, last + offset).
+ if (were_pending) {
+ // Both intervals contain only pending rows, because the second
+ // interval is after the first.
+
+ swap_row_intervals(first, last, offset);
+
+ rows.resize(rows.size() - n);
+
+ // `n' non-pending rows have been removed.
+ index_first_pending -= n;
+ }
+ else {
+ PPL_ASSERT(rows.size() - n < index_first_pending);
+ PPL_ASSERT(rows.size() > index_first_pending);
+ PPL_ASSERT(!were_pending);
+ // In the [size() - n, size()) interval there are some non-pending
+ // rows and some pending ones. Be careful not to mix them.
+
+ PPL_ASSERT(index_first_pending >= last);
+ swap_row_intervals(first, last, index_first_pending - last);
+
+ // Mark the rows that must be deleted as pending.
+ index_first_pending -= n;
+ first = index_first_pending;
+ last = first + n;
+
+ // Move them at the end of the system.
+ swap_row_intervals(first, last, num_rows() - last);
+
+ // Actually remove the rows.
+ rows.resize(rows.size() - n);
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::swap_row_intervals(dimension_type first,
+ dimension_type last,
+ dimension_type offset) {
+ PPL_ASSERT(first <= last);
+ PPL_ASSERT(last + offset <= num_rows());
+#ifndef NDEBUG
+ if (first < last) {
+ bool first_interval_has_pending_rows = (last > index_first_pending);
+ bool second_interval_has_pending_rows = (last + offset > index_first_pending);
+ bool first_interval_has_not_pending_rows = (first < index_first_pending);
+ bool second_interval_has_not_pending_rows = (first + offset < index_first_pending);
+ PPL_ASSERT(first_interval_has_not_pending_rows
+ == !first_interval_has_pending_rows);
+ PPL_ASSERT(second_interval_has_not_pending_rows
+ == !second_interval_has_pending_rows);
+ PPL_ASSERT(first_interval_has_pending_rows
+ == second_interval_has_pending_rows);
+ }
+#endif
+ if (first + offset < last) {
+ // The intervals are not disjunct, make them so.
+ const dimension_type k = last - first - offset;
+ last -= k;
+ offset += k;
+ }
+
+ if (first == last)
+ // Nothing to do.
+ return;
+
+ for (dimension_type i = first; i < last; ++i)
+ swap(rows[i], rows[i + offset]);
+
+ if (first < index_first_pending)
+ // The swaps involved not pending rows, so they may not be sorted anymore.
+ set_sorted(false);
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::remove_rows(const std::vector<dimension_type>& indexes) {
+#ifndef NDEBUG
+ {
+ // Check that `indexes' is sorted.
+ std::vector<dimension_type> sorted_indexes = indexes;
+ std::sort(sorted_indexes.begin(), sorted_indexes.end());
+ PPL_ASSERT(indexes == sorted_indexes);
+
+ // Check that the last index (if any) is lower than num_rows().
+ // This guarantees that all indexes are in [0, num_rows()).
+ if (!indexes.empty())
+ PPL_ASSERT(indexes.back() < num_rows());
+ }
+#endif
+
+ if (indexes.empty())
+ return;
+
+ const dimension_type rows_size = rows.size();
+ typedef std::vector<dimension_type>::const_iterator itr_t;
+
+ // `i' and last_unused_row' start with the value `indexes[0]' instead
+ // of `0', because the loop would just increment `last_unused_row' in the
+ // preceding iterations.
+ dimension_type last_unused_row = indexes[0];
+ dimension_type i = indexes[0];
+ itr_t itr = indexes.begin();
+ itr_t itr_end = indexes.end();
+ while (itr != itr_end) {
+ // i <= *itr < rows_size
+ PPL_ASSERT(i < rows_size);
+ if (*itr == i) {
+ // The current row has to be removed, don't increment last_unused_row.
+ ++itr;
+ }
+ else {
+ // The current row must not be removed, swap it after the last used row.
+ swap(rows[last_unused_row], rows[i]);
+ ++last_unused_row;
+ }
+ ++i;
+ }
+
+ // Move up the remaining rows, if any.
+ for ( ; i < rows_size; ++i) {
+ swap(rows[last_unused_row], rows[i]);
+ ++last_unused_row;
+ }
+
+ PPL_ASSERT(last_unused_row == num_rows() - indexes.size());
+
+ // The rows that have to be removed are now at the end of the system, just
+ // remove them.
+ rows.resize(last_unused_row);
+
+ // Adjust index_first_pending.
+ if (indexes[0] >= index_first_pending) {
+ // Removing pending rows only.
+ }
+ else {
+ if (indexes.back() < index_first_pending) {
+ // Removing non-pending rows only.
+ index_first_pending -= indexes.size();
+ }
+ else {
+ // Removing some pending and some non-pending rows, count the
+ // non-pending rows that must be removed.
+ // This exploits the fact that `indexes' is sorted by using binary
+ // search.
+ itr_t j = std::lower_bound(indexes.begin(), indexes.end(),
+ index_first_pending);
+ std::iterator_traits<itr_t>::difference_type
+ non_pending = j - indexes.begin();
+ index_first_pending -= static_cast<dimension_type>(non_pending);
+ }
+ }
+
+ // NOTE: This method does *not* call set_sorted(false), because it preserves
+ // the relative row ordering.
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>::remove_trailing_rows(const dimension_type n) {
+ PPL_ASSERT(rows.size() >= n);
+ rows.resize(rows.size() - n);
+ if (first_pending_row() > rows.size())
+ index_first_pending = rows.size();
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>
+::permute_space_dimensions(const std::vector<Variable>& cycle) {
+ for (dimension_type i = num_rows(); i-- > 0; )
+ rows[i].permute_space_dimensions(cycle);
+ sorted = false;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Linear_System<Row>
+::swap_space_dimensions(Variable v1, Variable v2) {
+ PPL_ASSERT(v1.space_dimension() <= space_dimension());
+ PPL_ASSERT(v2.space_dimension() <= space_dimension());
+ for (dimension_type k = num_rows(); k-- > 0; )
+ rows[k].swap_space_dimensions(v1, v2);
+ sorted = false;
+ PPL_ASSERT(OK());
+}
+
+/*! \relates Linear_System */
+template <typename Row>
+inline bool
+operator!=(const Linear_System<Row>& x, const Linear_System<Row>& y) {
+ return !(x == y);
+}
+
+template <typename Row>
+inline bool
+Linear_System<Row>::Row_Less_Than::operator()(const Row& x,
+ const Row& y) const {
+ return compare(x, y) < 0;
+}
+
+template <typename Row>
+inline
+Linear_System<Row>::Unique_Compare
+::Unique_Compare(const Swapping_Vector<Row>& cont,
+ dimension_type base)
+ : container(cont), base_index(base) {
+}
+
+template <typename Row>
+inline bool
+Linear_System<Row>::Unique_Compare
+::operator()(dimension_type i, dimension_type j) const {
+ return container[base_index + i].is_equal_to(container[base_index + j]);
+}
+
+/*! \relates Linear_System */
+template <typename Row>
+inline void
+swap(Linear_System<Row>& x, Linear_System<Row>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_System_inlines_hh)
diff --git a/src/Linear_System_templates.hh b/src/Linear_System_templates.hh
new file mode 100644
index 0000000..dd28e87
--- /dev/null
+++ b/src/Linear_System_templates.hh
@@ -0,0 +1,930 @@
+/* Linear_System class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Linear_System_templates_hh
+#define PPL_Linear_System_templates_hh 1
+
+#include "Bit_Matrix_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include <algorithm>
+#include <iostream>
+#include <string>
+#include <deque>
+
+#include "swapping_sort_templates.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+dimension_type
+Linear_System<Row>::num_lines_or_equalities() const {
+ PPL_ASSERT(num_pending_rows() == 0);
+ const Linear_System& x = *this;
+ dimension_type n = 0;
+ for (dimension_type i = num_rows(); i-- > 0; )
+ if (x[i].is_line_or_equality())
+ ++n;
+ return n;
+}
+
+template <typename Row>
+void
+Linear_System<Row>::merge_rows_assign(const Linear_System& y) {
+ PPL_ASSERT(space_dimension() >= y.space_dimension());
+ // Both systems have to be sorted and have no pending rows.
+ PPL_ASSERT(check_sorted() && y.check_sorted());
+ PPL_ASSERT(num_pending_rows() == 0 && y.num_pending_rows() == 0);
+
+ Linear_System& x = *this;
+
+ // A temporary vector...
+ Swapping_Vector<Row> tmp;
+ // ... with enough capacity not to require any reallocations.
+ tmp.reserve(compute_capacity(x.rows.size() + y.rows.size(),
+ tmp.max_num_rows()));
+
+ dimension_type xi = 0;
+ const dimension_type x_num_rows = x.num_rows();
+ dimension_type yi = 0;
+ const dimension_type y_num_rows = y.num_rows();
+
+ while (xi < x_num_rows && yi < y_num_rows) {
+ const int comp = compare(x[xi], y[yi]);
+ if (comp <= 0) {
+ // Elements that can be taken from `x' are actually _stolen_ from `x'
+ tmp.resize(tmp.size() + 1);
+ swap(tmp.back(), x.rows[xi++]);
+ tmp.back().set_representation(representation());
+ if (comp == 0)
+ // A duplicate element.
+ ++yi;
+ }
+ else {
+ // (comp > 0)
+ tmp.resize(tmp.size() + 1);
+ Row copy(y[yi++], space_dimension(), representation());
+ swap(tmp.back(), copy);
+ }
+ }
+ // Insert what is left.
+ if (xi < x_num_rows)
+ while (xi < x_num_rows) {
+ tmp.resize(tmp.size() + 1);
+ swap(tmp.back(), x.rows[xi++]);
+ tmp.back().set_representation(representation());
+ }
+ else
+ while (yi < y_num_rows) {
+ tmp.resize(tmp.size() + 1);
+ Row copy(y[yi++], space_dimension(), representation());
+ swap(tmp.back(), copy);
+ }
+
+ // We get the result matrix and let the old one be destroyed.
+ swap(tmp, rows);
+ // There are no pending rows.
+ unset_pending_rows();
+ PPL_ASSERT(check_sorted());
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::ascii_dump(std::ostream& s) const {
+ // Prints the topology, the number of rows, the number of columns
+ // and the sorted flag. The specialized methods provided by
+ // Constraint_System and Generator_System take care of properly
+ // printing the contents of the system.
+ s << "topology " << (is_necessarily_closed()
+ ? "NECESSARILY_CLOSED"
+ : "NOT_NECESSARILY_CLOSED")
+ << "\n"
+ << num_rows() << " x " << space_dimension() << " ";
+ Parma_Polyhedra_Library::ascii_dump(s, representation());
+ s << " " << (sorted ? "(sorted)" : "(not_sorted)")
+ << "\n"
+ << "index_first_pending " << first_pending_row()
+ << "\n";
+ for (dimension_type i = 0; i < rows.size(); ++i)
+ rows[i].ascii_dump(s);
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(Row, Linear_System<Row>)
+
+template <typename Row>
+bool
+Linear_System<Row>::ascii_load(std::istream& s) {
+ std::string str;
+ if (!(s >> str) || str != "topology")
+ return false;
+ if (!(s >> str))
+ return false;
+
+ clear();
+
+ Topology t;
+ if (str == "NECESSARILY_CLOSED")
+ t = NECESSARILY_CLOSED;
+ else {
+ if (str != "NOT_NECESSARILY_CLOSED")
+ return false;
+ t = NOT_NECESSARILY_CLOSED;
+ }
+
+ set_topology(t);
+
+ dimension_type nrows;
+ dimension_type space_dims;
+ if (!(s >> nrows))
+ return false;
+ if (!(s >> str) || str != "x")
+ return false;
+ if (!(s >> space_dims))
+ return false;
+
+ space_dimension_ = space_dims;
+
+ if (!Parma_Polyhedra_Library::ascii_load(s, representation_))
+ return false;
+
+ if (!(s >> str) || (str != "(sorted)" && str != "(not_sorted)"))
+ return false;
+ const bool sortedness = (str == "(sorted)");
+ dimension_type index;
+ if (!(s >> str) || str != "index_first_pending")
+ return false;
+ if (!(s >> index))
+ return false;
+
+ Row row;
+ for (dimension_type i = 0; i < nrows; ++i) {
+ if (!row.ascii_load(s))
+ return false;
+ insert(row, Recycle_Input());
+ }
+ index_first_pending = index;
+ sorted = sortedness;
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert(const Row& r) {
+ Row tmp(r, representation());
+ insert(tmp, Recycle_Input());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert(Row& r, Recycle_Input) {
+ insert_no_ok(r, Recycle_Input());
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert_no_ok(Row& r, Recycle_Input) {
+ PPL_ASSERT(topology() == r.topology());
+ // This method is only used when the system has no pending rows.
+ PPL_ASSERT(num_pending_rows() == 0);
+
+ const bool was_sorted = is_sorted();
+
+ insert_pending_no_ok(r, Recycle_Input());
+
+ if (was_sorted) {
+ const dimension_type nrows = num_rows();
+ // The added row may have caused the system to be not sorted anymore.
+ if (nrows > 1) {
+ // If the system is not empty and the inserted row is the
+ // greatest one, the system is set to be sorted.
+ // If it is not the greatest one then the system is no longer sorted.
+ sorted = (compare(rows[nrows-2], rows[nrows-1]) <= 0);
+ }
+ else
+ // A system having only one row is sorted.
+ sorted = true;
+ }
+
+ unset_pending_rows();
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert_pending_no_ok(Row& r, Recycle_Input) {
+ // TODO: A Grid_Generator_System may contain non-normalized lines that
+ // represent parameters, so this check is disabled. Consider re-enabling it
+ // when it's possibile.
+#if 0
+ // The added row must be strongly normalized and have the same
+ // number of elements as the existing rows of the system.
+ PPL_ASSERT(r.check_strong_normalized());
+#endif
+
+ PPL_ASSERT(r.topology() == topology());
+
+ r.set_representation(representation());
+
+ if (space_dimension() < r.space_dimension())
+ set_space_dimension_no_ok(r.space_dimension());
+ else
+ r.set_space_dimension_no_ok(space_dimension());
+
+ rows.resize(rows.size() + 1);
+ swap(rows.back(), r);
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert_pending(const Row& r) {
+ Row tmp(r, representation());
+ insert_pending(tmp, Recycle_Input());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert_pending(Row& r, Recycle_Input) {
+ insert_pending_no_ok(r, Recycle_Input());
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert_pending(const Linear_System& y) {
+ Linear_System tmp(y, representation(), With_Pending());
+ insert_pending(tmp, Recycle_Input());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert_pending(Linear_System& y, Recycle_Input) {
+ Linear_System& x = *this;
+ PPL_ASSERT(x.space_dimension() == y.space_dimension());
+
+ // Steal the rows of `y'.
+ // This loop must use an increasing index (instead of a decreasing one) to
+ // preserve the row ordering.
+ for (dimension_type i = 0; i < y.num_rows(); ++i)
+ x.insert_pending(y.rows[i], Recycle_Input());
+
+ y.clear();
+
+ PPL_ASSERT(x.OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert(const Linear_System& y) {
+ Linear_System tmp(y, representation(), With_Pending());
+ insert(tmp, Recycle_Input());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::insert(Linear_System& y, Recycle_Input) {
+ PPL_ASSERT(num_pending_rows() == 0);
+
+ // Adding no rows is a no-op.
+ if (y.has_no_rows())
+ return;
+
+ // Check if sortedness is preserved.
+ if (is_sorted()) {
+ if (!y.is_sorted() || y.num_pending_rows() > 0)
+ sorted = false;
+ else {
+ // `y' is sorted and has no pending rows.
+ const dimension_type n_rows = num_rows();
+ if (n_rows > 0)
+ sorted = (compare(rows[n_rows-1], y[0]) <= 0);
+ }
+ }
+
+ // Add the rows of `y' as if they were pending.
+ insert_pending(y, Recycle_Input());
+
+ // TODO: May y have pending rows? Should they remain pending?
+
+ // There are no pending_rows.
+ unset_pending_rows();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::remove_space_dimensions(const Variables_Set& vars) {
+ // Dimension-compatibility assertion.
+ PPL_ASSERT(space_dimension() >= vars.space_dimension());
+
+ // The removal of no dimensions from any system is a no-op. This
+ // case also captures the only legal removal of dimensions from a
+ // 0-dim system.
+ if (vars.empty())
+ return;
+
+ // NOTE: num_rows() is *not* constant, because it may be decreased by
+ // remove_row_no_ok().
+ for (dimension_type i = 0; i < num_rows(); ) {
+ const bool valid = rows[i].remove_space_dimensions(vars);
+ if (!valid) {
+ // Remove the current row.
+ // We can't call remove_row(i) here, because the system is not OK as
+ // some rows already have the new space dimension and others still have
+ // the old one.
+ remove_row_no_ok(i, false);
+ }
+ else
+ ++i;
+ }
+
+ space_dimension_ -= vars.size();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::shift_space_dimensions(Variable v, dimension_type n) {
+ // NOTE: v.id() may be equal to the space dimension of the system
+ // (when no space dimension need to be shifted).
+ PPL_ASSERT(v.id() <= space_dimension());
+ for (dimension_type i = rows.size(); i-- > 0; )
+ rows[i].shift_space_dimensions(v, n);
+ space_dimension_ += n;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::sort_rows() {
+ // We sort the non-pending rows only.
+ sort_rows(0, first_pending_row());
+ sorted = true;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::sort_rows(const dimension_type first_row,
+ const dimension_type last_row) {
+ PPL_ASSERT(first_row <= last_row && last_row <= num_rows());
+ // We cannot mix pending and non-pending rows.
+ PPL_ASSERT(first_row >= first_pending_row()
+ || last_row <= first_pending_row());
+
+ const bool sorting_pending = (first_row >= first_pending_row());
+ const dimension_type old_num_pending = num_pending_rows();
+
+ const dimension_type num_elems = last_row - first_row;
+ if (num_elems < 2)
+ return;
+
+ // Build the function objects implementing indirect sort comparison,
+ // indirect unique comparison and indirect swap operation.
+ using namespace Implementation;
+ typedef Swapping_Vector<Row> Cont;
+ typedef Indirect_Sort_Compare<Cont, Row_Less_Than> Sort_Compare;
+ typedef Indirect_Swapper<Cont> Swapper;
+ const dimension_type num_duplicates
+ = indirect_sort_and_unique(num_elems,
+ Sort_Compare(rows, first_row),
+ Unique_Compare(rows, first_row),
+ Swapper(rows, first_row));
+
+ if (num_duplicates > 0) {
+ typedef typename Cont::iterator Iter;
+ typedef typename std::iterator_traits<Iter>::difference_type diff_t;
+ Iter last = rows.begin() + static_cast<diff_t>(last_row);
+ Iter first = last - + static_cast<diff_t>(num_duplicates);
+ rows.erase(first, last);
+ }
+
+ if (sorting_pending) {
+ PPL_ASSERT(old_num_pending >= num_duplicates);
+ index_first_pending = num_rows() - (old_num_pending - num_duplicates);
+ }
+ else {
+ index_first_pending = num_rows() - old_num_pending;
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::strong_normalize() {
+ const dimension_type nrows = rows.size();
+ // We strongly normalize also the pending rows.
+ for (dimension_type i = nrows; i-- > 0; )
+ rows[i].strong_normalize();
+ sorted = (nrows <= 1);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::sign_normalize() {
+ const dimension_type nrows = rows.size();
+ // We sign-normalize also the pending rows.
+ for (dimension_type i = nrows; i-- > 0; )
+ rows[i].sign_normalize();
+ sorted = (nrows <= 1);
+ PPL_ASSERT(OK());
+}
+
+/*! \relates Parma_Polyhedra_Library::Linear_System */
+template <typename Row>
+bool
+operator==(const Linear_System<Row>& x, const Linear_System<Row>& y) {
+ if (x.space_dimension() != y.space_dimension())
+ return false;
+ const dimension_type x_num_rows = x.num_rows();
+ const dimension_type y_num_rows = y.num_rows();
+ if (x_num_rows != y_num_rows)
+ return false;
+ if (x.first_pending_row() != y.first_pending_row())
+ return false;
+ // TODO: Check if the following comment is up to date.
+ // Notice that calling operator==(const Swapping_Vector<Row>&,
+ // const Swapping_Vector<Row>&)
+ // would be wrong here, as equality of the type fields would
+ // not be checked.
+ for (dimension_type i = x_num_rows; i-- > 0; )
+ if (x[i] != y[i])
+ return false;
+ return true;
+}
+
+template <typename Row>
+void
+Linear_System<Row>::sort_and_remove_with_sat(Bit_Matrix& sat) {
+ // We can only sort the non-pending part of the system.
+ PPL_ASSERT(first_pending_row() == sat.num_rows());
+ if (first_pending_row() <= 1) {
+ set_sorted(true);
+ return;
+ }
+
+ const dimension_type num_elems = sat.num_rows();
+ // Build the function objects implementing indirect sort comparison,
+ // indirect unique comparison and indirect swap operation.
+ typedef Swapping_Vector<Row> Cont;
+ const Implementation::Indirect_Sort_Compare<Cont, Row_Less_Than>
+ sort_cmp(rows);
+ const Unique_Compare unique_cmp(rows);
+ const Implementation::Indirect_Swapper2<Cont, Bit_Matrix> swapper(rows, sat);
+
+ const dimension_type num_duplicates
+ = Implementation::indirect_sort_and_unique(num_elems, sort_cmp,
+ unique_cmp, swapper);
+
+ const dimension_type new_first_pending_row
+ = first_pending_row() - num_duplicates;
+
+ if (num_pending_rows() > 0) {
+ // In this case, we must put the duplicates after the pending rows.
+ const dimension_type n_rows = num_rows() - 1;
+ for (dimension_type i = 0; i < num_duplicates; ++i)
+ swap(rows[new_first_pending_row + i], rows[n_rows - i]);
+ }
+
+ // Erasing the duplicated rows...
+ rows.resize(rows.size() - num_duplicates);
+ index_first_pending = new_first_pending_row;
+ // ... and the corresponding rows of the saturation matrix.
+ sat.remove_trailing_rows(num_duplicates);
+
+ // Now the system is sorted.
+ sorted = true;
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+dimension_type
+Linear_System<Row>::gauss(const dimension_type n_lines_or_equalities) {
+ // This method is only applied to a linear system having no pending rows and
+ // exactly `n_lines_or_equalities' lines or equalities, all of which occur
+ // before the rays or points or inequalities.
+ PPL_ASSERT(num_pending_rows() == 0);
+ PPL_ASSERT(n_lines_or_equalities == num_lines_or_equalities());
+#ifndef NDEBUG
+ for (dimension_type i = n_lines_or_equalities; i-- > 0; )
+ PPL_ASSERT((*this)[i].is_line_or_equality());
+#endif
+
+ dimension_type rank = 0;
+ // Will keep track of the variations on the system of equalities.
+ bool changed = false;
+ // TODO: Don't use the number of columns.
+ const dimension_type num_cols
+ = is_necessarily_closed() ? space_dimension() + 1 : space_dimension() + 2;
+ // TODO: Consider exploiting the row (possible) sparseness of rows in the
+ // following loop, if needed. It would probably make it more cache-efficient
+ // for dense rows, too.
+ for (dimension_type j = num_cols; j-- > 0; )
+ for (dimension_type i = rank; i < n_lines_or_equalities; ++i) {
+ // Search for the first row having a non-zero coefficient
+ // (the pivot) in the j-th column.
+ if ((*this)[i].expr.get(j) == 0)
+ continue;
+ // Pivot found: if needed, swap rows so that this one becomes
+ // the rank-th row in the linear system.
+ if (i > rank) {
+ swap(rows[i], rows[rank]);
+ // After swapping the system is no longer sorted.
+ changed = true;
+ }
+ // Combine the row containing the pivot with all the lines or
+ // equalities following it, so that all the elements on the j-th
+ // column in these rows become 0.
+ for (dimension_type k = i + 1; k < n_lines_or_equalities; ++k) {
+ if (rows[k].expr.get(Variable(j - 1)) != 0) {
+ rows[k].linear_combine(rows[rank], j);
+ changed = true;
+ }
+ }
+ // Already dealt with the rank-th row.
+ ++rank;
+ // Consider another column index `j'.
+ break;
+ }
+ if (changed)
+ sorted = false;
+
+ PPL_ASSERT(OK());
+ return rank;
+}
+
+template <typename Row>
+void
+Linear_System<Row>
+::back_substitute(const dimension_type n_lines_or_equalities) {
+ // This method is only applied to a system having no pending rows and
+ // exactly `n_lines_or_equalities' lines or equalities, all of which occur
+ // before the first ray or point or inequality.
+ PPL_ASSERT(num_pending_rows() == 0);
+ PPL_ASSERT(n_lines_or_equalities <= num_lines_or_equalities());
+#ifndef NDEBUG
+ for (dimension_type i = n_lines_or_equalities; i-- > 0; )
+ PPL_ASSERT((*this)[i].is_line_or_equality());
+#endif
+
+ const dimension_type nrows = num_rows();
+ // Trying to keep sortedness.
+ bool still_sorted = is_sorted();
+ // This deque of Booleans will be used to flag those rows that,
+ // before exiting, need to be re-checked for sortedness.
+ std::deque<bool> check_for_sortedness;
+ if (still_sorted)
+ check_for_sortedness.insert(check_for_sortedness.end(), nrows, false);
+
+ for (dimension_type k = n_lines_or_equalities; k-- > 0; ) {
+ // For each line or equality, starting from the last one,
+ // looks for the last non-zero element.
+ // `j' will be the index of such a element.
+ Row& row_k = rows[k];
+ const dimension_type j = row_k.expr.last_nonzero();
+ // TODO: Check this.
+ PPL_ASSERT(j != 0);
+
+ // Go through the equalities above `row_k'.
+ for (dimension_type i = k; i-- > 0; ) {
+ Row& row_i = rows[i];
+ if (row_i.expr.get(Variable(j - 1)) != 0) {
+ // Combine linearly `row_i' with `row_k'
+ // so that `row_i[j]' becomes zero.
+ row_i.linear_combine(row_k, j);
+ if (still_sorted) {
+ // Trying to keep sortedness: remember which rows
+ // have to be re-checked for sortedness at the end.
+ if (i > 0)
+ check_for_sortedness[i-1] = true;
+ check_for_sortedness[i] = true;
+ }
+ }
+ }
+
+ // Due to strong normalization during previous iterations,
+ // the pivot coefficient `row_k[j]' may now be negative.
+ // Since an inequality (or ray or point) cannot be multiplied
+ // by a negative factor, the coefficient of the pivot must be
+ // forced to be positive.
+ const bool have_to_negate = (row_k.expr.get(Variable(j - 1)) < 0);
+ if (have_to_negate)
+ neg_assign(row_k.expr);
+
+ // NOTE: Here row_k will *not* be ok if we have negated it.
+
+ // Note: we do not mark index `k' in `check_for_sortedness',
+ // because we will later negate back the row.
+
+ // Go through all the other rows of the system.
+ for (dimension_type i = n_lines_or_equalities; i < nrows; ++i) {
+ Row& row_i = rows[i];
+ if (row_i.expr.get(Variable(j - 1)) != 0) {
+ // Combine linearly the `row_i' with `row_k'
+ // so that `row_i[j]' becomes zero.
+ row_i.linear_combine(row_k, j);
+ if (still_sorted) {
+ // Trying to keep sortedness: remember which rows
+ // have to be re-checked for sortedness at the end.
+ if (i > n_lines_or_equalities)
+ check_for_sortedness[i-1] = true;
+ check_for_sortedness[i] = true;
+ }
+ }
+ }
+ if (have_to_negate)
+ // Negate `row_k' to restore strong-normalization.
+ neg_assign(row_k.expr);
+
+ PPL_ASSERT(row_k.OK());
+ }
+
+ // Trying to keep sortedness.
+ for (dimension_type i = 0; still_sorted && i+1 < nrows; ++i)
+ if (check_for_sortedness[i])
+ // Have to check sortedness of `(*this)[i]' with respect to `(*this)[i+1]'.
+ still_sorted = (compare((*this)[i], (*this)[i+1]) <= 0);
+
+ // Set the sortedness flag.
+ sorted = still_sorted;
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>::simplify() {
+ // This method is only applied to a system having no pending rows.
+ PPL_ASSERT(num_pending_rows() == 0);
+
+ // Partially sort the linear system so that all lines/equalities come first.
+ const dimension_type old_nrows = num_rows();
+ dimension_type nrows = old_nrows;
+ dimension_type n_lines_or_equalities = 0;
+ for (dimension_type i = 0; i < nrows; ++i)
+ if ((*this)[i].is_line_or_equality()) {
+ if (n_lines_or_equalities < i) {
+ swap(rows[i], rows[n_lines_or_equalities]);
+ // The system was not sorted.
+ PPL_ASSERT(!sorted);
+ }
+ ++n_lines_or_equalities;
+ }
+ // Apply Gaussian elimination to the subsystem of lines/equalities.
+ const dimension_type rank = gauss(n_lines_or_equalities);
+ // Eliminate any redundant line/equality that has been detected.
+ if (rank < n_lines_or_equalities) {
+ const dimension_type
+ n_rays_or_points_or_inequalities = nrows - n_lines_or_equalities;
+ const dimension_type
+ num_swaps = std::min(n_lines_or_equalities - rank,
+ n_rays_or_points_or_inequalities);
+ for (dimension_type i = num_swaps; i-- > 0; )
+ swap(rows[--nrows], rows[rank + i]);
+ remove_trailing_rows(old_nrows - nrows);
+ if (n_rays_or_points_or_inequalities > num_swaps)
+ set_sorted(false);
+ unset_pending_rows();
+ n_lines_or_equalities = rank;
+ }
+ // Apply back-substitution to the system of rays/points/inequalities.
+ back_substitute(n_lines_or_equalities);
+
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Linear_System<Row>
+::add_universe_rows_and_space_dimensions(const dimension_type n) {
+ PPL_ASSERT(n > 0);
+ const bool was_sorted = is_sorted();
+ const dimension_type old_n_rows = num_rows();
+ const dimension_type old_space_dim
+ = is_necessarily_closed() ? space_dimension() : space_dimension() + 1;
+ set_space_dimension(space_dimension() + n);
+ rows.resize(rows.size() + n);
+ // The old system is moved to the bottom.
+ for (dimension_type i = old_n_rows; i-- > 0; )
+ swap(rows[i], rows[i + n]);
+ for (dimension_type i = n, c = old_space_dim; i-- > 0; ) {
+ // The top right-hand sub-system (i.e., the system made of new
+ // rows and columns) is set to the specular image of the identity
+ // matrix.
+ if (Variable(c).space_dimension() <= space_dimension()) {
+ // Variable(c) is a user variable.
+ Linear_Expression le(representation());
+ le.set_space_dimension(space_dimension());
+ le += Variable(c);
+ Row r(le, Row::LINE_OR_EQUALITY, row_topology);
+ swap(r, rows[i]);
+ }
+ else {
+ // Variable(c) is the epsilon dimension.
+ PPL_ASSERT(row_topology == NOT_NECESSARILY_CLOSED);
+ Linear_Expression le(Variable(c), representation());
+ Row r(le, Row::LINE_OR_EQUALITY, NECESSARILY_CLOSED);
+ r.mark_as_not_necessarily_closed();
+ swap(r, rows[i]);
+ // Note: `r' is strongly normalized.
+ }
+ ++c;
+ }
+ // If the old system was empty, the last row added is either
+ // a positivity constraint or a point.
+ if (was_sorted)
+ sorted = (compare(rows[n-1], rows[n]) <= 0);
+
+ // If the system is not necessarily closed, move the epsilon coefficients to
+ // the last column.
+ if (!is_necessarily_closed()) {
+ // Try to preserve sortedness of `gen_sys'.
+ PPL_ASSERT(old_space_dim != 0);
+ if (!is_sorted()) {
+ for (dimension_type i = n; i-- > 0; ) {
+ rows[i].expr.swap_space_dimensions(Variable(old_space_dim - 1),
+ Variable(old_space_dim - 1 + n));
+ PPL_ASSERT(rows[i].OK());
+ }
+ }
+ else {
+ dimension_type old_eps_index = old_space_dim - 1;
+ // The upper-right corner of `rows' contains the J matrix:
+ // swap coefficients to preserve sortedness.
+ for (dimension_type i = n; i-- > 0; ++old_eps_index) {
+ rows[i].expr.swap_space_dimensions(Variable(old_eps_index),
+ Variable(old_eps_index + 1));
+ PPL_ASSERT(rows[i].OK());
+ }
+
+ sorted = true;
+ }
+ }
+ // NOTE: this already checks for OK().
+ set_index_first_pending_row(index_first_pending + n);
+}
+
+template <typename Row>
+void
+Linear_System<Row>::sort_pending_and_remove_duplicates() {
+ PPL_ASSERT(num_pending_rows() > 0);
+ PPL_ASSERT(is_sorted());
+
+ // The non-pending part of the system is already sorted.
+ // Now sorting the pending part..
+ const dimension_type first_pending = first_pending_row();
+ sort_rows(first_pending, num_rows());
+ // Recompute the number of rows, because we may have removed
+ // some rows occurring more than once in the pending part.
+ const dimension_type old_num_rows = num_rows();
+ dimension_type num_rows = old_num_rows;
+
+ dimension_type k1 = 0;
+ dimension_type k2 = first_pending;
+ dimension_type num_duplicates = 0;
+ // In order to erase them, put at the end of the system
+ // those pending rows that also occur in the non-pending part.
+ while (k1 < first_pending && k2 < num_rows) {
+ const int cmp = compare(rows[k1], rows[k2]);
+ if (cmp == 0) {
+ // We found the same row.
+ ++num_duplicates;
+ --num_rows;
+ // By initial sortedness, we can increment index `k1'.
+ ++k1;
+ // Do not increment `k2'; instead, swap there the next pending row.
+ if (k2 < num_rows)
+ swap(rows[k2], rows[k2 + num_duplicates]);
+ }
+ else if (cmp < 0)
+ // By initial sortedness, we can increment `k1'.
+ ++k1;
+ else {
+ // Here `cmp > 0'.
+ // Increment `k2' and, if we already found any duplicate,
+ // swap the next pending row in position `k2'.
+ ++k2;
+ if (num_duplicates > 0 && k2 < num_rows)
+ swap(rows[k2], rows[k2 + num_duplicates]);
+ }
+ }
+ // If needed, swap any duplicates found past the pending rows
+ // that has not been considered yet; then erase the duplicates.
+ if (num_duplicates > 0) {
+ if (k2 < num_rows)
+ for (++k2; k2 < num_rows; ++k2)
+ swap(rows[k2], rows[k2 + num_duplicates]);
+ rows.resize(num_rows);
+ }
+ sorted = true;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+bool
+Linear_System<Row>::check_sorted() const {
+ for (dimension_type i = first_pending_row(); i-- > 1; )
+ if (compare(rows[i], rows[i-1]) < 0)
+ return false;
+ return true;
+}
+
+template <typename Row>
+bool
+Linear_System<Row>::OK() const {
+#ifndef NDEBUG
+ using std::endl;
+ using std::cerr;
+#endif
+
+ for (dimension_type i = rows.size(); i-- > 0; ) {
+ if (rows[i].representation() != representation()) {
+#ifndef NDEBUG
+ cerr << "Linear_System has a row with the wrong representation!"
+ << endl;
+#endif
+ return false;
+ }
+ if (rows[i].space_dimension() != space_dimension()) {
+#ifndef NDEBUG
+ cerr << "Linear_System has a row with the wrong number of space dimensions!"
+ << endl;
+#endif
+ return false;
+ }
+ }
+
+ for (dimension_type i = rows.size(); i-- > 0; )
+ if (rows[i].topology() != topology()) {
+#ifndef NDEBUG
+ cerr << "Linear_System has a row with the wrong topology!"
+ << endl;
+#endif
+ return false;
+ }
+
+ // `index_first_pending' must be less than or equal to `num_rows()'.
+ if (first_pending_row() > num_rows()) {
+#ifndef NDEBUG
+ cerr << "Linear_System has a negative number of pending rows!"
+ << endl;
+#endif
+ return false;
+ }
+
+ // Check for topology mismatches.
+ const dimension_type n_rows = num_rows();
+ for (dimension_type i = 0; i < n_rows; ++i)
+ if (topology() != rows[i].topology()) {
+#ifndef NDEBUG
+ cerr << "Topology mismatch between the system "
+ << "and one of its rows!"
+ << endl;
+#endif
+ return false;
+ }
+
+ if (sorted && !check_sorted()) {
+#ifndef NDEBUG
+ cerr << "The system declares itself to be sorted but it is not!"
+ << endl;
+#endif
+ return false;
+ }
+
+ // All checks passed.
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_System_templates_hh)
diff --git a/src/Linear_System_types.hh b/src/Linear_System_types.hh
new file mode 100644
index 0000000..7a8355c
--- /dev/null
+++ b/src/Linear_System_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Linear_System_types_hh
+#define PPL_Linear_System_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+class Linear_System;
+
+template <typename Row>
+class Linear_System_With_Bit_Matrix_iterator;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Linear_System_types_hh)
diff --git a/src/MIP_Problem.cc b/src/MIP_Problem.cc
index ed00a0f..251f106 100644
--- a/src/MIP_Problem.cc
+++ b/src/MIP_Problem.cc
@@ -1,6 +1,6 @@
/* MIP_Problem class implementation: non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,17 +22,17 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "MIP_Problem.defs.hh"
-#include "globals.defs.hh"
-#include "Checked_Number.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Constraint.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Generator.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "math_utilities.defs.hh"
+#include "MIP_Problem_defs.hh"
+#include "globals_defs.hh"
+#include "Checked_Number_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Constraint_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Generator_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "math_utilities_defs.hh"
#include <stdexcept>
#include <deque>
@@ -45,8 +45,8 @@ site: http://bugseng.com/products/ppl/ . */
// These are needed for the linear_combine() method that takes a Dense_Row and
// a Sparse_Row.
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
#endif // PPL_USE_SPARSE_MATRIX
@@ -359,9 +359,9 @@ PPL::MIP_Problem::add_space_dimensions_and_embed(const dimension_type m) {
// overflow the maximum allowed space dimension.
if (m > max_space_dimension() - space_dimension())
throw std::length_error("PPL::MIP_Problem::"
- "add_space_dimensions_and_embed(m):\n"
- "adding m new space dimensions exceeds "
- "the maximum allowed space dimension.");
+ "add_space_dimensions_and_embed(m):\n"
+ "adding m new space dimensions exceeds "
+ "the maximum allowed space dimension.");
external_space_dim += m;
if (status != UNSATISFIABLE)
status = PARTIALLY_SATISFIABLE;
@@ -441,7 +441,7 @@ bool
PPL::MIP_Problem::is_satisfied(const Constraint& c, const Generator& g) {
// Scalar_Products::sign() requires the second argument to be at least
// as large as the first one.
- int sp_sign
+ const int sp_sign
= (g.space_dimension() <= c.space_dimension())
? Scalar_Products::sign(g, c)
: Scalar_Products::sign(c, g);
@@ -452,7 +452,7 @@ bool
PPL::MIP_Problem::is_saturated(const Constraint& c, const Generator& g) {
// Scalar_Products::sign() requires the space dimension of the second
// argument to be at least as large as the one of the first one.
- int sp_sign
+ const int sp_sign
= (g.space_dimension() <= c.space_dimension())
? Scalar_Products::sign(g, c)
: Scalar_Products::sign(c, g);
@@ -527,10 +527,10 @@ PPL::MIP_Problem
const Constraint& cs_i = *(input_cs[i]);
const dimension_type cs_i_end = cs_i.space_dimension() + 1;
- dimension_type nonzero_coeff_column_index
+ const dimension_type nonzero_coeff_column_index
= cs_i.expression().first_nonzero(1, cs_i_end);
- bool found_a_nonzero_coeff = (nonzero_coeff_column_index != cs_i_end);
- bool found_many_nonzero_coeffs
+ const bool found_a_nonzero_coeff = (nonzero_coeff_column_index != cs_i_end);
+ const bool found_many_nonzero_coeffs
= (found_a_nonzero_coeff
&& !cs_i.expression().all_zeroes(nonzero_coeff_column_index + 1,
cs_i_end));
@@ -642,7 +642,7 @@ PPL::MIP_Problem
return true;
}
-bool
+void
PPL::MIP_Problem::process_pending_constraints() {
// Check the pending constraints to adjust the data structures.
// If `false' is returned, they are trivially unfeasible.
@@ -656,10 +656,10 @@ PPL::MIP_Problem::process_pending_constraints() {
additional_slack_vars,
is_tableau_constraint,
is_satisfied_inequality,
- is_nonnegative_variable,
- is_remergeable_variable)) {
+ is_nonnegative_variable,
+ is_remergeable_variable)) {
status = UNSATISFIABLE;
- return false;
+ return;
}
// Merge back any variable that was previously split into a positive
@@ -776,9 +776,9 @@ PPL::MIP_Problem::process_pending_constraints() {
Row::iterator itr = tableau_k.end();
const Constraint& c = *(input_cs[i + first_pending_constraint]);
- const Constraint::Expression& c_e = c.expression();
- for (Constraint::Expression::const_iterator j = c_e.begin(), j_end = c_e.end();
- j != j_end; ++j) {
+ const Constraint::expr_type c_e = c.expression();
+ for (Constraint::expr_type::const_iterator j = c_e.begin(),
+ j_end = c_e.end(); j != j_end; ++j) {
Coefficient_traits::const_reference coeff_sd = *j;
const std::pair<dimension_type, dimension_type> mapped
= mapping[j.variable().space_dimension()];
@@ -789,8 +789,7 @@ PPL::MIP_Problem::process_pending_constraints() {
neg_assign(*itr, coeff_sd);
}
}
- Coefficient_traits::const_reference inhomo
- = c.inhomogeneous_term();
+ Coefficient_traits::const_reference inhomo = c.inhomogeneous_term();
if (inhomo != 0) {
tableau_k.insert(itr, mapping[0].first, inhomo);
// Split if needed.
@@ -885,7 +884,7 @@ PPL::MIP_Problem::process_pending_constraints() {
if (space_dimension() == 0) {
status = OPTIMIZED;
last_generator = point();
- return true;
+ return;
}
// Deal with trivial cases.
// If there is no constraint in the tableau, then the feasible region
@@ -898,7 +897,7 @@ PPL::MIP_Problem::process_pending_constraints() {
last_generator = point();
last_generator.set_space_dimension(space_dimension());
status = UNBOUNDED;
- return true;
+ return;
}
// The problem is neither trivially unfeasible nor trivially unbounded.
@@ -908,12 +907,11 @@ PPL::MIP_Problem::process_pending_constraints() {
// Ensure the right space dimension is obtained.
last_generator = point();
last_generator.set_space_dimension(space_dimension());
- PPL_ASSERT(OK());
- return true;
+ return;
}
// Now we are ready to solve the first phase.
- bool first_phase_successful
+ const bool first_phase_successful
= (get_control_parameter(PRICING) == PRICING_STEEPEST_EDGE_FLOAT)
? compute_simplex_using_steepest_edge_float()
: compute_simplex_using_exact_pricing();
@@ -927,7 +925,7 @@ PPL::MIP_Problem::process_pending_constraints() {
if (!first_phase_successful || working_cost.get(0) != 0) {
// The feasible region is empty.
status = UNSATISFIABLE;
- return false;
+ return;
}
// Prepare *this for a possible second phase.
@@ -935,8 +933,6 @@ PPL::MIP_Problem::process_pending_constraints() {
erase_artificials(begin_artificials, end_artificials);
compute_generator();
status = SATISFIABLE;
- PPL_ASSERT(OK());
- return true;
}
namespace {
@@ -1035,7 +1031,7 @@ PPL::MIP_Problem::steepest_edge_float_entering_index() const {
// this implementation and the dense implementation below.
for (std::vector<std::pair<dimension_type, double> >::const_reverse_iterator
i = columns.rbegin(), i_end = columns.rend(); i != i_end; ++i) {
- double challenger_value = sqrt(i->second);
+ const double challenger_value = sqrt(i->second);
if (entering_index == 0 || challenger_value > current_value) {
current_value = challenger_value;
entering_index = i->first;
@@ -1208,7 +1204,8 @@ PPL::MIP_Problem::steepest_edge_exact_entering_index() const {
swap(current_denom, k->second);
entering_index = k->first;
}
- } else {
+ }
+ else {
PPL_ASSERT(working_cost.get(k->first) == 0);
// Initialization during the first loop.
if (entering_index == 0) {
@@ -1366,8 +1363,8 @@ PPL::MIP_Problem::is_unbounded_obj_function(
const std::vector<std::pair<dimension_type, dimension_type> >& mapping,
Optimization_Mode optimization_mode) {
- for (Linear_Expression::const_iterator i = x.begin(), i_end = x.end();
- i != i_end; ++i) {
+ for (Linear_Expression::const_iterator i = x.begin(),
+ i_end = x.end(); i != i_end; ++i) {
// If a the value of a variable in the objective function is
// different from zero, the final status is unbounded.
// In the first part the variable is constrained to be greater or equal
@@ -1377,7 +1374,8 @@ PPL::MIP_Problem::is_unbounded_obj_function(
if (optimization_mode == MAXIMIZATION) {
if (*i > 0)
return true;
- } else {
+ }
+ else {
PPL_ASSERT(optimization_mode == MINIMIZATION);
if (*i < 0)
return true;
@@ -1794,8 +1792,8 @@ PPL::MIP_Problem::second_phase() {
// Negate the cost function if we are minimizing.
if (opt_mode == MINIMIZATION)
- for (Row::iterator
- i = new_cost.begin(), i_end = new_cost.end(); i != i_end; ++i)
+ for (Row::iterator i = new_cost.begin(),
+ i_end = new_cost.end(); i != i_end; ++i)
neg_assign(*i);
const dimension_type cost_zero_size = working_cost.size();
@@ -1811,9 +1809,8 @@ PPL::MIP_Problem::second_phase() {
= working_cost.insert(cost_zero_size - 1, Coefficient_one());
// Split the variables in the cost function.
- for (Row::const_iterator
- i = new_cost.lower_bound(1), i_end = new_cost.end();
- i != i_end; ++i) {
+ for (Row::const_iterator i = new_cost.lower_bound(1),
+ i_end = new_cost.end(); i != i_end; ++i) {
const dimension_type index = i.index();
const dimension_type original_var = mapping[index].first;
const dimension_type split_var = mapping[index].second;
@@ -1840,14 +1837,14 @@ PPL::MIP_Problem::second_phase() {
}
// Solve the second phase problem.
- bool second_phase_successful
+ const bool second_phase_successful
= (get_control_parameter(PRICING) == PRICING_STEEPEST_EDGE_FLOAT)
? compute_simplex_using_steepest_edge_float()
: compute_simplex_using_exact_pricing();
compute_generator();
#if PPL_NOISY_SIMPLEX
std::cout << "MIP_Problem::second_phase(): 2nd phase ended at iteration "
- << num_iterations
+ << num_iterations
<< "." << std::endl;
#endif // PPL_NOISY_SIMPLEX
status = second_phase_successful ? OPTIMIZED : UNBOUNDED;
@@ -1862,12 +1859,12 @@ PPL::MIP_Problem
const dimension_type ep_space_dim = evaluating_point.space_dimension();
if (space_dimension() < ep_space_dim)
throw std::invalid_argument("PPL::MIP_Problem::"
- "evaluate_objective_function(p, n, d):\n"
- "*this and p are dimension incompatible.");
+ "evaluate_objective_function(p, n, d):\n"
+ "*this and p are dimension incompatible.");
if (!evaluating_point.is_point())
throw std::invalid_argument("PPL::MIP_Problem::"
- "evaluate_objective_function(p, n, d):\n"
- "p is not a point.");
+ "evaluate_objective_function(p, n, d):\n"
+ "p is not a point.");
// Compute the smallest space dimension between `input_obj_function'
// and `evaluating_point'.
@@ -1962,7 +1959,7 @@ PPL::MIP_Problem::solve_mip(bool& have_incumbent_solution,
if (have_incumbent_solution
&& ((mip.optimization_mode() == MAXIMIZATION
&& tmp_rational <= incumbent_solution_value)
- || (mip.optimization_mode() == MINIMIZATION
+ || (mip.optimization_mode() == MINIMIZATION
&& tmp_rational >= incumbent_solution_value)))
// Abandon this path.
return mip_status;
@@ -1976,7 +1973,7 @@ PPL::MIP_Problem::solve_mip(bool& have_incumbent_solution,
// sparseness of p, if the size of i_vars is expected to be greater than
// the number of nonzeroes in p in most cases.
for (Variables_Set::const_iterator v_begin = i_vars.begin(),
- v_end = i_vars.end(); v_begin != v_end; ++v_begin) {
+ v_end = i_vars.end(); v_begin != v_end; ++v_begin) {
gcd_assign(gcd, p.coefficient(Variable(*v_begin)), p_divisor);
if (gcd != p_divisor) {
non_int_dim = *v_begin;
@@ -2015,7 +2012,7 @@ PPL::MIP_Problem::solve_mip(bool& have_incumbent_solution,
PPL_ASSERT(non_int_dim < mip.space_dimension());
assign_r(tmp_rational.get_num(), p.coefficient(Variable(non_int_dim)),
- ROUND_NOT_NEEDED);
+ ROUND_NOT_NEEDED);
assign_r(tmp_rational.get_den(), p_divisor, ROUND_NOT_NEEDED);
tmp_rational.canonicalize();
assign_r(tmp_coeff1, tmp_rational, ROUND_DOWN);
@@ -2031,7 +2028,7 @@ PPL::MIP_Problem::solve_mip(bool& have_incumbent_solution,
<< "." << std::endl;
#endif // PPL_NOISY_SIMPLEX
solve_mip(have_incumbent_solution, incumbent_solution_value,
- incumbent_solution_point, mip_aux, i_vars);
+ incumbent_solution_point, mip_aux, i_vars);
}
// TODO: change this when we will be able to remove constraints.
mip.add_constraint(Variable(non_int_dim) >= tmp_coeff2);
@@ -2043,7 +2040,7 @@ PPL::MIP_Problem::solve_mip(bool& have_incumbent_solution,
<< "." << std::endl;
#endif // PPL_NOISY_SIMPLEX
solve_mip(have_incumbent_solution, incumbent_solution_value,
- incumbent_solution_point, mip, i_vars);
+ incumbent_solution_point, mip, i_vars);
return have_incumbent_solution ? mip_status : UNFEASIBLE_MIP_PROBLEM;
}
@@ -2157,7 +2154,7 @@ PPL::MIP_Problem::is_mip_satisfiable(MIP_Problem& mip,
// sparseness of p, if the size of i_vars is expected to be greater than
// the number of nonzeroes in p in most cases.
for (Variables_Set::const_iterator v_begin = i_vars.begin(),
- v_end = i_vars.end(); v_begin != v_end; ++v_begin) {
+ v_end = i_vars.end(); v_begin != v_end; ++v_begin) {
gcd_assign(gcd, p.coefficient(Variable(*v_begin)), p_divisor);
if (gcd != p_divisor) {
non_int_dim = *v_begin;
@@ -2173,7 +2170,7 @@ PPL::MIP_Problem::is_mip_satisfiable(MIP_Problem& mip,
PPL_ASSERT(non_int_dim < mip.space_dimension());
assign_r(tmp_rational.get_num(), p.coefficient(Variable(non_int_dim)),
- ROUND_NOT_NEEDED);
+ ROUND_NOT_NEEDED);
assign_r(tmp_rational.get_den(), p_divisor, ROUND_NOT_NEEDED);
tmp_rational.canonicalize();
assign_r(tmp_coeff1, tmp_rational, ROUND_DOWN);
@@ -2206,7 +2203,7 @@ PPL::MIP_Problem::is_mip_satisfiable(MIP_Problem& mip,
<< (Variable(non_int_dim) >= tmp_coeff2)
<< "." << std::endl;
#endif // PPL_NOISY_SIMPLEX
- bool satisfiable = is_mip_satisfiable(mip, i_vars, p);
+ const bool satisfiable = is_mip_satisfiable(mip, i_vars, p);
#if PPL_NOISY_SIMPLEX
std::cout << "MIP_Problem::is_mip_satisfiable(): "
<< "exiting from recursion level " << mip_recursion_level
@@ -2261,6 +2258,28 @@ PPL::MIP_Problem::OK() const {
return false;
}
+ if (external_space_dim < internal_space_dim) {
+#ifndef NDEBUG
+ cerr << "The MIP_Problem claims to have an internal space dimension "
+ << "greater than its external space dimension."
+ << endl;
+ ascii_dump(cerr);
+#endif
+ return false;
+ }
+
+ if (external_space_dim > internal_space_dim
+ && status != UNSATISFIABLE
+ && status != PARTIALLY_SATISFIABLE) {
+#ifndef NDEBUG
+ cerr << "The MIP_Problem claims to have a pending space dimension "
+ << "addition, but the status is incompatible."
+ << endl;
+ ascii_dump(cerr);
+#endif
+ return false;
+ }
+
// Constraint system and objective function should be dimension compatible.
if (external_space_dim < input_obj_function.space_dimension()) {
#ifndef NDEBUG
@@ -2277,11 +2296,11 @@ PPL::MIP_Problem::OK() const {
if (status != UNSATISFIABLE && initialized) {
// Here `last_generator' has to be meaningful.
// Check for dimension compatibility and actual feasibility.
- if (external_space_dim != last_generator.space_dimension()) {
+ if (internal_space_dim != last_generator.space_dimension()) {
#ifndef NDEBUG
cerr << "The MIP_Problem and the cached feasible point have "
<< "incompatible space dimensions ("
- << external_space_dim << " != "
+ << internal_space_dim << " != "
<< last_generator.space_dimension() << ")."
<< endl;
ascii_dump(cerr);
@@ -2309,7 +2328,7 @@ PPL::MIP_Problem::OK() const {
// to be greater than the number of nonzeroes in last_generator in most
// cases.
for (Variables_Set::const_iterator v_it = i_variables.begin(),
- v_end = i_variables.end(); v_it != v_end; ++v_it) {
+ v_end = i_variables.end(); v_it != v_end; ++v_it) {
gcd_assign(gcd, last_generator.coefficient(Variable(*v_it)),
last_generator.divisor());
if (gcd != last_generator.divisor())
@@ -2328,11 +2347,12 @@ PPL::MIP_Problem::OK() const {
#endif
return false;
}
- // The size of `mapping' should be equal to the space dimension
- // of `input_cs' plus one.
- if (mapping.size() != external_space_dim + 1) {
+ // The size of `mapping' should be equal to the internal
+ // space dimension plus one.
+ if (mapping.size() != internal_space_dim + 1) {
#ifndef NDEBUG
- cerr << "`input_cs' and `mapping' have incompatible sizes" << endl;
+ cerr << "The internal space dimension and `mapping' "
+ << "have incompatible sizes" << endl;
ascii_dump(cerr);
#endif
return false;
@@ -2706,7 +2726,7 @@ std::ostream&
PPL::IO_Operators::operator<<(std::ostream& s, const MIP_Problem& mip) {
s << "Constraints:";
for (MIP_Problem::const_iterator i = mip.constraints_begin(),
- i_end = mip.constraints_end(); i != i_end; ++i)
+ i_end = mip.constraints_end(); i != i_end; ++i)
s << "\n" << *i;
s << "\nObjective function: "
<< mip.objective_function()
diff --git a/src/MIP_Problem.defs.hh b/src/MIP_Problem.defs.hh
deleted file mode 100644
index a43c3c4..0000000
--- a/src/MIP_Problem.defs.hh
+++ /dev/null
@@ -1,980 +0,0 @@
-/* MIP_Problem class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_MIP_Problem_defs_hh
-#define PPL_MIP_Problem_defs_hh 1
-
-#include "MIP_Problem.types.hh"
-#include "globals.types.hh"
-#include "Matrix.defs.hh"
-#include "Linear_Expression.defs.hh"
-#include "Constraint.types.hh"
-#include "Constraint_System.types.hh"
-#include "Generator.defs.hh"
-#include "Variables_Set.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-#include <vector>
-#include <deque>
-#include <iterator>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::MIP_Problem */
-std::ostream&
-operator<<(std::ostream& s, const MIP_Problem& mip);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates MIP_Problem */
-void swap(MIP_Problem& x, MIP_Problem& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A Mixed Integer (linear) Programming problem.
-/*! \ingroup PPL_CXX_interface
- An object of this class encodes a mixed integer (linear) programming
- problem.
- The MIP problem is specified by providing:
- - the dimension of the vector space;
- - the feasible region, by means of a finite set of linear equality
- and non-strict inequality constraints;
- - the subset of the unknown variables that range over the integers
- (the other variables implicitly ranging over the reals);
- - the objective function, described by a Linear_Expression;
- - the optimization mode (either maximization or minimization).
-
- The class provides support for the (incremental) solution of the
- MIP problem based on variations of the revised simplex method and
- on branch-and-bound techniques. The result of the resolution
- process is expressed in terms of an enumeration, encoding the
- feasibility and the unboundedness of the optimization problem.
- The class supports simple feasibility tests (i.e., no optimization),
- as well as the extraction of an optimal (resp., feasible) point,
- provided the MIP_Problem is optimizable (resp., feasible).
-
- By exploiting the incremental nature of the solver, it is possible
- to reuse part of the computational work already done when solving
- variants of a given MIP_Problem: currently, incremental resolution
- supports the addition of space dimensions, the addition of constraints,
- the change of objective function and the change of optimization mode.
-*/
-class Parma_Polyhedra_Library::MIP_Problem {
-public:
- //! Builds a trivial MIP problem.
- /*!
- A trivial MIP problem requires to maximize the objective function
- \f$0\f$ on a vector space under no constraints at all:
- the origin of the vector space is an optimal solution.
-
- \param dim
- The dimension of the vector space enclosing \p *this
- (optional argument with default value \f$0\f$).
-
- \exception std::length_error
- Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
- */
- explicit MIP_Problem(dimension_type dim = 0);
-
- /*! \brief
- Builds an MIP problem having space dimension \p dim
- from the sequence of constraints in the range
- \f$[\mathrm{first}, \mathrm{last})\f$,
- the objective function \p obj and optimization mode \p mode;
- those dimensions whose indices occur in \p int_vars are
- constrained to take an integer value.
-
- \param dim
- The dimension of the vector space enclosing \p *this.
-
- \param first
- An input iterator to the start of the sequence of constraints.
-
- \param last
- A past-the-end input iterator to the sequence of constraints.
-
- \param int_vars
- The set of variables' indexes that are constrained to take integer values.
-
- \param obj
- The objective function (optional argument with default value \f$0\f$).
-
- \param mode
- The optimization mode (optional argument with default value
- <CODE>MAXIMIZATION</CODE>).
-
- \exception std::length_error
- Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
-
- \exception std::invalid_argument
- Thrown if a constraint in the sequence is a strict inequality,
- if the space dimension of a constraint (resp., of the
- objective function or of the integer variables) or the space dimension
- of the integer variable set is strictly greater than \p dim.
- */
- template <typename In>
- MIP_Problem(dimension_type dim,
- In first, In last,
- const Variables_Set& int_vars,
- const Linear_Expression& obj = Linear_Expression::zero(),
- Optimization_Mode mode = MAXIMIZATION);
-
- /*! \brief
- Builds an MIP problem having space dimension \p dim
- from the sequence of constraints in the range
- \f$[\mathrm{first}, \mathrm{last})\f$,
- the objective function \p obj and optimization mode \p mode.
-
- \param dim
- The dimension of the vector space enclosing \p *this.
-
- \param first
- An input iterator to the start of the sequence of constraints.
-
- \param last
- A past-the-end input iterator to the sequence of constraints.
-
- \param obj
- The objective function (optional argument with default value \f$0\f$).
-
- \param mode
- The optimization mode (optional argument with default value
- <CODE>MAXIMIZATION</CODE>).
-
- \exception std::length_error
- Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
-
- \exception std::invalid_argument
- Thrown if a constraint in the sequence is a strict inequality
- or if the space dimension of a constraint (resp., of the
- objective function or of the integer variables) is strictly
- greater than \p dim.
- */
- template <typename In>
- MIP_Problem(dimension_type dim,
- In first, In last,
- const Linear_Expression& obj = Linear_Expression::zero(),
- Optimization_Mode mode = MAXIMIZATION);
-
- /*! \brief
- Builds an MIP problem having space dimension \p dim from the constraint
- system \p cs, the objective function \p obj and optimization mode \p mode.
-
- \param dim
- The dimension of the vector space enclosing \p *this.
-
- \param cs
- The constraint system defining the feasible region.
-
- \param obj
- The objective function (optional argument with default value \f$0\f$).
-
- \param mode
- The optimization mode (optional argument with default value
- <CODE>MAXIMIZATION</CODE>).
-
- \exception std::length_error
- Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
-
- \exception std::invalid_argument
- Thrown if the constraint system contains any strict inequality
- or if the space dimension of the constraint system (resp., the
- objective function) is strictly greater than \p dim.
- */
- MIP_Problem(dimension_type dim,
- const Constraint_System& cs,
- const Linear_Expression& obj = Linear_Expression::zero(),
- Optimization_Mode mode = MAXIMIZATION);
-
- //! Ordinary copy constructor.
- MIP_Problem(const MIP_Problem& y);
-
- //! Destructor.
- ~MIP_Problem();
-
- //! Assignment operator.
- MIP_Problem& operator=(const MIP_Problem& y);
-
- //! Returns the maximum space dimension an MIP_Problem can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the space dimension of the MIP problem.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns a set containing all the variables' indexes constrained
- to be integral.
- */
- const Variables_Set& integer_space_dimensions() const;
-
-private:
- //! A type alias for a sequence of constraints.
- typedef std::vector<Constraint*> Constraint_Sequence;
-
-public:
- //! A read-only iterator on the constraints defining the feasible region.
- class const_iterator {
- private:
- typedef Constraint_Sequence::const_iterator Base;
- typedef std::iterator_traits<Base> Base_Traits;
- public:
- typedef Base_Traits::iterator_category iterator_category;
- typedef Base_Traits::difference_type difference_type;
- typedef const Constraint value_type;
- typedef const Constraint* pointer;
- typedef const Constraint& reference;
-
- //! Iterator difference: computes distances.
- difference_type operator-(const const_iterator& y) const;
-
- //! Prefix increment.
- const_iterator& operator++();
-
- //! Prefix decrement.
- const_iterator& operator--();
-
- //! Postfix increment.
- const_iterator operator++(int);
-
- //! Postfix decrement.
- const_iterator operator--(int);
-
- //! Moves iterator forward of \p n positions.
- const_iterator& operator+=(difference_type n);
-
- //! Moves iterator backward of \p n positions.
- const_iterator& operator-=(difference_type n);
-
- //! Returns an iterator \p n positions forward.
- const_iterator operator+(difference_type n) const;
-
- //! Returns an iterator \p n positions backward.
- const_iterator operator-(difference_type n) const;
-
- //! Returns a reference to the "pointed" object.
- reference operator*() const;
-
- //! Returns the address of the "pointed" object.
- pointer operator->() const;
-
- //! Compares \p *this with y.
- /*!
- \param y
- The %iterator that will be compared with *this.
- */
- bool operator==(const const_iterator& y) const;
-
- //! Compares \p *this with y.
- /*!
- \param y
- The %iterator that will be compared with *this.
- */
- bool operator!=(const const_iterator& y) const;
-
- private:
- //! Constructor from a Base iterator.
- explicit const_iterator(Base base);
-
- //! The Base iterator on the Constraint_Sequence.
- Base itr;
-
- friend class MIP_Problem;
- };
-
- /*! \brief
- Returns a read-only iterator to the first constraint defining
- the feasible region.
- */
- const_iterator constraints_begin() const;
-
- /*! \brief
- Returns a past-the-end read-only iterator to the sequence of
- constraints defining the feasible region.
- */
- const_iterator constraints_end() const;
-
- //! Returns the objective function.
- const Linear_Expression& objective_function() const;
-
- //! Returns the optimization mode.
- Optimization_Mode optimization_mode() const;
-
- //! Resets \p *this to be equal to the trivial MIP problem.
- /*!
- The space dimension is reset to \f$0\f$.
- */
- void clear();
-
- /*! \brief
- Adds \p m new space dimensions and embeds the old MIP problem
- in the new vector space.
-
- \param m
- The number of dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- The new space dimensions will be those having the highest indexes
- in the new MIP problem; they are initially unconstrained.
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Sets the variables whose indexes are in set \p i_vars to be
- integer space dimensions.
-
- \exception std::invalid_argument
- Thrown if some index in \p i_vars does not correspond to
- a space dimension in \p *this.
- */
- void add_to_integer_space_dimensions(const Variables_Set& i_vars);
-
- /*! \brief
- Adds a copy of constraint \p c to the MIP problem.
-
- \exception std::invalid_argument
- Thrown if the constraint \p c is a strict inequality or if its space
- dimension is strictly greater than the space dimension of \p *this.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds a copy of the constraints in \p cs to the MIP problem.
-
- \exception std::invalid_argument
- Thrown if the constraint system \p cs contains any strict inequality
- or if its space dimension is strictly greater than the space dimension
- of \p *this.
- */
- void add_constraints(const Constraint_System& cs);
-
- //! Sets the objective function to \p obj.
- /*!
- \exception std::invalid_argument
- Thrown if the space dimension of \p obj is strictly greater than
- the space dimension of \p *this.
- */
- void set_objective_function(const Linear_Expression& obj);
-
- //! Sets the optimization mode to \p mode.
- void set_optimization_mode(Optimization_Mode mode);
-
- //! Checks satisfiability of \p *this.
- /*!
- \return
- <CODE>true</CODE> if and only if the MIP problem is satisfiable.
- */
- bool is_satisfiable() const;
-
- //! Optimizes the MIP problem.
- /*!
- \return
- An MIP_Problem_Status flag indicating the outcome of the optimization
- attempt (unfeasible, unbounded or optimized problem).
- */
- MIP_Problem_Status solve() const;
-
- /*! \brief
- Sets \p num and \p denom so that
- \f$\frac{\mathtt{numer}}{\mathtt{denom}}\f$ is the result of
- evaluating the objective function on \p evaluating_point.
-
- \param evaluating_point
- The point on which the objective function will be evaluated.
-
- \param numer
- On exit will contain the numerator of the evaluated value.
-
- \param denom
- On exit will contain the denominator of the evaluated value.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p evaluating_point are dimension-incompatible
- or if the generator \p evaluating_point is not a point.
- */
- void evaluate_objective_function(const Generator& evaluating_point,
- Coefficient& numer,
- Coefficient& denom) const;
-
- //! Returns a feasible point for \p *this, if it exists.
- /*!
- \exception std::domain_error
- Thrown if the MIP problem is not satisfiable.
- */
- const Generator& feasible_point() const;
-
- //! Returns an optimal point for \p *this, if it exists.
- /*!
- \exception std::domain_error
- Thrown if \p *this does not not have an optimizing point, i.e.,
- if the MIP problem is unbounded or not satisfiable.
- */
- const Generator& optimizing_point() const;
-
- /*! \brief
- Sets \p numer and \p denom so that
- \f$\frac{\mathtt{numer}}{\mathtt{denom}}\f$ is the solution of the
- optimization problem.
-
- \exception std::domain_error
- Thrown if \p *this does not not have an optimizing point, i.e.,
- if the MIP problem is unbounded or not satisfiable.
- */
- void optimal_value(Coefficient& numer, Coefficient& denom) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(MIP_Problem& y);
-
- //! Names of MIP problems' control parameters.
- enum Control_Parameter_Name {
- //! The pricing rule.
- PRICING
- };
-
- //! Possible values for MIP problem's control parameters.
- enum Control_Parameter_Value {
- //! Steepest edge pricing method, using floating points (default).
- PRICING_STEEPEST_EDGE_FLOAT,
- //! Steepest edge pricing method, using Coefficient.
- PRICING_STEEPEST_EDGE_EXACT,
- //! Textbook pricing method.
- PRICING_TEXTBOOK
- };
-
- //! Returns the value of the control parameter \p name.
- Control_Parameter_Value
- get_control_parameter(Control_Parameter_Name name) const;
-
- //! Sets control parameter \p value.
- void set_control_parameter(Control_Parameter_Value value);
-
-private:
- //! The dimension of the vector space.
- dimension_type external_space_dim;
-
- /*! \brief
- The space dimension of the current (partial) solution of the
- MIP problem; it may be smaller than \p external_space_dim.
- */
- dimension_type internal_space_dim;
-
-#if PPL_USE_SPARSE_MATRIX
- typedef Sparse_Row Row;
-#else
- typedef Dense_Row Row;
-#endif
-
- //! The matrix encoding the current feasible region in tableau form.
- Matrix<Row> tableau;
-
- typedef Row working_cost_type;
-
- //! The working cost function.
- working_cost_type working_cost;
-
- //! A map between the variables of `input_cs' and `tableau'.
- /*!
- Contains all the pairs (i, j) such that mapping[i].first encodes the index
- of the column in the tableau where input_cs[i] is stored; if
- mapping[i].second is not a zero, it encodes the split part of the tableau
- of input_cs[i].
- The "positive" one is represented by mapping[i].first and the "negative"
- one is represented by mapping[i].second.
- */
- std::vector<std::pair<dimension_type, dimension_type> > mapping;
-
- //! The current basic solution.
- std::vector<dimension_type> base;
-
- //! An enumerated type describing the internal status of the MIP problem.
- enum Status {
- //! The MIP problem is unsatisfiable.
- UNSATISFIABLE,
- //! The MIP problem is satisfiable; a feasible solution has been computed.
- SATISFIABLE,
- //! The MIP problem is unbounded; a feasible solution has been computed.
- UNBOUNDED,
- //! The MIP problem is optimized; an optimal solution has been computed.
- OPTIMIZED,
- /*! \brief
- The feasible region of the MIP problem has been changed by adding
- new space dimensions or new constraints; a feasible solution for
- the old feasible region is still available.
- */
- PARTIALLY_SATISFIABLE
- };
-
- //! The internal state of the MIP problem.
- Status status;
-
- // TODO: merge `status', `initialized', `pricing' and (maybe) `opt_mode'
- // into a single bitset status word, so as to save space and allow
- // for other control parameters.
-
- //! The pricing method in use.
- Control_Parameter_Value pricing;
-
- /*! \brief
- A Boolean encoding whether or not internal data structures have
- already been properly sized and populated: useful to allow for
- deeper checks in method OK().
- */
- bool initialized;
-
- //! The sequence of constraints describing the feasible region.
- std::vector<Constraint*> input_cs;
-
- /*! \brief
- The number of constraints that are inherited from our parent
- in the recursion tree built when solving via branch-and-bound.
-
- The first \c inherited_constraints elements in \c input_cs point to
- the inherited constraints, whose resources are owned by our ancestors.
- The resources of the other elements in \c input_cs are owned by \c *this
- and should be appropriately released on destruction.
- */
- dimension_type inherited_constraints;
-
- //! The first index of `input_cs' containing a pending constraint.
- dimension_type first_pending_constraint;
-
- //! The objective function to be optimized.
- Linear_Expression input_obj_function;
-
- //! The optimization mode requested.
- Optimization_Mode opt_mode;
-
- //! The last successfully computed feasible or optimizing point.
- Generator last_generator;
-
- /*! \brief
- A set containing all the indexes of variables that are constrained
- to have an integer value.
- */
- Variables_Set i_variables;
-
- //! A helper class to temporarily relax a MIP problem using RAII.
- struct RAII_Temporary_Real_Relaxation {
- MIP_Problem& lp;
- Variables_Set i_vars;
-
- RAII_Temporary_Real_Relaxation(MIP_Problem& mip)
- : lp(mip), i_vars() {
- // Turn mip into an LP problem (saving i_variables in i_vars).
- using std::swap;
- swap(i_vars, lp.i_variables);
- }
-
- ~RAII_Temporary_Real_Relaxation() {
- // Restore the original set of integer variables.
- using std::swap;
- swap(i_vars, lp.i_variables);
- }
- };
- friend struct RAII_Temporary_Real_Relaxation;
-
- //! A tag type to distinguish normal vs. inheriting copy constructor.
- struct Inherit_Constraints {};
-
- //! Copy constructor inheriting constraints.
- MIP_Problem(const MIP_Problem& y, Inherit_Constraints);
-
- //! Helper method: implements exception safe addition.
- void add_constraint_helper(const Constraint& c);
-
- //! Processes the pending constraints of \p *this.
- /*!
- \return
- <CODE>true</CODE> if and only if the MIP problem is satisfiable after
- processing the pending constraints, <CODE>false</CODE> otherwise.
- */
- bool process_pending_constraints();
-
- /*! \brief
- Optimizes the MIP problem using the second phase of the
- primal simplex algorithm.
- */
- void second_phase();
-
- /*! \brief
- Assigns to \p this->tableau a simplex tableau representing the
- MIP problem, inserting into \p this->mapping the information
- that is required to recover the original MIP problem.
-
- \return
- <CODE>UNFEASIBLE_MIP_PROBLEM</CODE> if the constraint system contains
- any trivially unfeasible constraint (tableau was not computed);
- <CODE>UNBOUNDED_MIP_PROBLEM</CODE> if the problem is trivially unbounded
- (the computed tableau contains no constraints);
- <CODE>OPTIMIZED_MIP_PROBLEM></CODE> if the problem is neither trivially
- unfeasible nor trivially unbounded (the tableau was computed
- successfully).
- */
- MIP_Problem_Status
- compute_tableau(std::vector<dimension_type>& worked_out_row);
-
- /*! \brief
- Parses the pending constraints to gather information on
- how to resize the tableau.
-
- \note
- All of the method parameters are output parameters; their value
- is only meaningful when the function exit returning value \c true.
-
- \return
- \c false if a trivially false constraint is detected, \c true otherwise.
-
- \param additional_tableau_rows
- On exit, this will store the number of rows that have to be added
- to the original tableau.
-
- \param additional_slack_variables
- This will store the number of slack variables that have to be added
- to the original tableau.
-
- \param is_tableau_constraint
- This container of Boolean flags is initially empty. On exit, it size
- will be equal to the number of pending constraints in \c input_cs.
- For each pending constraint index \c i, the corresponding element
- of this container (having index <CODE>i - first_pending_constraint</CODE>)
- will be set to \c true if and only if the constraint has to be included
- in the tableau.
-
- \param is_satisfied_inequality
- This container of Boolean flags is initially empty. On exit, its size
- will be equal to the number of pending constraints in \c input_cs.
- For each pending constraint index \c i, the corresponding element
- of this container (having index <CODE>i - first_pending_constraint</CODE>)
- will be set to \c true if and only if it is an inequality and it
- is already satisfied by \c last_generator (hence it does not require
- the introduction of an artificial variable).
-
- \param is_nonnegative_variable
- This container of Boolean flags is initially empty.
- On exit, it size is equal to \c external_space_dim.
- For each variable (index), the corresponding element of this container
- is \c true if the variable is known to be nonnegative (and hence should
- not be split into a positive and a negative part).
-
- \param is_remergeable_variable
- This container of Boolean flags is initially empty.
- On exit, it size is equal to \c internal_space_dim.
- For each variable (index), the corresponding element of this container
- is \c true if the variable was previously split into positive and
- negative parts that can now be merged back, since it is known
- that the variable is nonnegative.
- */
- bool parse_constraints(dimension_type& additional_tableau_rows,
- dimension_type& additional_slack_variables,
- std::deque<bool>& is_tableau_constraint,
- std::deque<bool>& is_satisfied_inequality,
- std::deque<bool>& is_nonnegative_variable,
- std::deque<bool>& is_remergeable_variable) const;
-
- /*! \brief
- Computes the row index of the variable exiting the base
- of the MIP problem. Implemented with anti-cycling rule.
-
- \return
- The row index of the variable exiting the base.
-
- \param entering_var_index
- The column index of the variable entering the base.
- */
- dimension_type
- get_exiting_base_index(dimension_type entering_var_index) const;
-
- //! Linearly combines \p x with \p y so that <CODE>*this[k]</CODE> is 0.
- /*!
- \param x
- The row that will be combined with \p y object.
-
- \param y
- The row that will be combined with \p x object.
-
- \param k
- The position of \p *this that have to be \f$0\f$.
-
- Computes a linear combination of \p x and \p y having
- the element of index \p k equal to \f$0\f$. Then it assigns
- the resulting Row to \p x and normalizes it.
- */
- static void linear_combine(Row& x, const Row& y, const dimension_type k);
-
- // TODO: Remove this when the sparse working cost has been tested enough.
-#if PPL_USE_SPARSE_MATRIX
-
- //! Linearly combines \p x with \p y so that <CODE>*this[k]</CODE> is 0.
- /*!
- \param x
- The row that will be combined with \p y object.
-
- \param y
- The row that will be combined with \p x object.
-
- \param k
- The position of \p *this that have to be \f$0\f$.
-
- Computes a linear combination of \p x and \p y having
- the element of index \p k equal to \f$0\f$. Then it assigns
- the resulting Dense_Row to \p x and normalizes it.
- */
- static void linear_combine(Dense_Row& x, const Sparse_Row& y,
- const dimension_type k);
-
-#endif // defined(PPL_USE_SPARSE_MATRIX)
-
- static bool is_unbounded_obj_function(
- const Linear_Expression& obj_function,
- const std::vector<std::pair<dimension_type, dimension_type> >& mapping,
- Optimization_Mode optimization_mode);
-
- /*! \brief
- Performs the pivoting operation on the tableau.
-
- \param entering_var_index
- The index of the variable entering the base.
-
- \param exiting_base_index
- The index of the row exiting the base.
- */
- void pivot(dimension_type entering_var_index,
- dimension_type exiting_base_index);
-
- /*! \brief
- Computes the column index of the variable entering the base,
- using the textbook algorithm with anti-cycling rule.
-
- \return
- The column index of the variable that enters the base.
- If no such variable exists, optimality was achieved
- and <CODE>0</CODE> is returned.
- */
- dimension_type textbook_entering_index() const;
-
- /*! \brief
- Computes the column index of the variable entering the base,
- using an exact steepest-edge algorithm with anti-cycling rule.
-
- \return
- The column index of the variable that enters the base.
- If no such variable exists, optimality was achieved
- and <CODE>0</CODE> is returned.
-
- To compute the entering_index, the steepest edge algorithm chooses
- the index `j' such that \f$\frac{d_{j}}{\|\Delta x^{j} \|}\f$ is the
- largest in absolute value, where
- \f[
- \|\Delta x^{j} \|
- = \left(
- 1+\sum_{i=1}^{m} \alpha_{ij}^2
- \right)^{\frac{1}{2}}.
- \f]
- Recall that, due to the exact integer implementation of the algorithm,
- our tableau does not contain the ``real'' \f$\alpha\f$ values, but these
- can be computed dividing the value of the coefficient by the value of
- the variable in base. Obviously the result may not be an integer, so
- we will proceed in another way: we compute the lcm of all the variables
- in base to get the good ``weight'' of each Coefficient of the tableau.
- */
- dimension_type steepest_edge_exact_entering_index() const;
-
- /*! \brief
- Same as steepest_edge_exact_entering_index,
- but using floating points.
-
- \note
- Due to rounding errors, the index of the variable entering the base
- of the MIP problem is not predictable across different architectures.
- Hence, the overall simplex computation may differ in the path taken
- to reach the optimum. Anyway, the exact final result will be computed
- for the MIP_Problem.
- */
- dimension_type steepest_edge_float_entering_index() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and if only the algorithm successfully
- computed a feasible solution.
-
- \note
- Uses an exact pricing method (either textbook or exact steepest edge),
- so that the result is deterministic across different architectures.
- */
- bool compute_simplex_using_exact_pricing();
-
- /*! \brief
- Returns <CODE>true</CODE> if and if only the algorithm successfully
- computed a feasible solution.
-
- \note
- Uses a floating point implementation of the steepest edge pricing
- method, so that the result is correct, but not deterministic across
- different architectures.
- */
- bool compute_simplex_using_steepest_edge_float();
-
- /*! \brief
- Drop unnecessary artificial variables from the tableau and get ready
- for the second phase of the simplex algorithm.
-
- \note
- The two parameters denote a STL-like half-open range.
- It is assumed that \p begin_artificials is strictly greater than 0
- and smaller than \p end_artificials.
-
- \param begin_artificials
- The start of the tableau column index range for artificial variables.
-
- \param end_artificials
- The end of the tableau column index range for artificial variables.
- Note that column index end_artificial is \e excluded from the range.
- */
- void erase_artificials(dimension_type begin_artificials,
- dimension_type end_artificials);
-
- bool is_in_base(dimension_type var_index,
- dimension_type& row_index) const;
-
- /*! \brief
- Computes a valid generator that satisfies all the constraints of the
- Linear Programming problem associated to \p *this.
- */
- void compute_generator() const;
-
- /*! \brief
- Merges back the positive and negative part of a (previously split)
- variable after detecting a corresponding nonnegativity constraint.
-
- \return
- If the negative part of \p var_index was in base, the index of
- the corresponding tableau row (which has become non-feasible);
- otherwise \c not_a_dimension().
-
- \param var_index
- The index of the variable that has to be merged.
- */
- dimension_type merge_split_variable(dimension_type var_index);
-
- //! Returns <CODE>true</CODE> if and only if \p c is satisfied by \p g.
- static bool is_satisfied(const Constraint& c, const Generator& g);
-
- //! Returns <CODE>true</CODE> if and only if \p c is saturated by \p g.
- static bool is_saturated(const Constraint& c, const Generator& g);
-
- /*! \brief
- Returns a status that encodes the solution of the MIP problem.
-
- \param have_incumbent_solution
- It is used to store if the solving process has found a provisional
- optimum point.
-
- \param incumbent_solution_value
- Encodes the evaluated value of the provisional optimum point found.
-
- \param incumbent_solution_point
- If the method returns `OPTIMIZED', this will contain the optimality point.
-
- \param mip
- The problem that has to be solved.
-
- \param i_vars
- The variables that are constrained to take an integer value.
- */
- static MIP_Problem_Status solve_mip(bool& have_incumbent_solution,
- mpq_class& incumbent_solution_value,
- Generator& incumbent_solution_point,
- MIP_Problem& mip,
- const Variables_Set& i_vars);
-
- /*! \brief
- Returns \c true if and if only the LP problem is satisfiable.
- */
- bool is_lp_satisfiable() const;
-
- /*! \brief
- Returns \c true if and if only the MIP problem \p mip is satisfiable
- when variables in \p i_vars can only take integral values.
-
- \param mip
- The MIP problem. This is assumed to have no integral space dimension
- (so that it is a pure LP problem).
-
- \param i_vars
- The variables that are constrained to take integral values.
-
- \param p
- If \c true is returned, it will encode a feasible point.
- */
- static bool is_mip_satisfiable(MIP_Problem& mip,
- const Variables_Set& i_vars,
- Generator& p);
-
- /*! \brief
- Returns \c true if and if only \c mip.last_generator satisfies all the
- integrality conditions implicitly stated using by \p i_vars.
-
- \param mip
- The MIP problem. This is assumed to have no integral space dimension
- (so that it is a pure LP problem).
-
- \param i_vars
- The variables that are constrained to take an integer value.
-
- \param branching_index
- If \c false is returned, this will encode the non-integral variable
- index on which the `branch and bound' algorithm should be applied.
- */
- static bool choose_branching_variable(const MIP_Problem& mip,
- const Variables_Set& i_vars,
- dimension_type& branching_index);
-};
-
-#include "MIP_Problem.inlines.hh"
-#include "MIP_Problem.templates.hh"
-
-#endif // !defined(PPL_MIP_Problem_defs_hh)
diff --git a/src/MIP_Problem.inlines.hh b/src/MIP_Problem.inlines.hh
deleted file mode 100644
index c2dd27d..0000000
--- a/src/MIP_Problem.inlines.hh
+++ /dev/null
@@ -1,322 +0,0 @@
-/* MIP_Problem class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_MIP_Problem_inlines_hh
-#define PPL_MIP_Problem_inlines_hh 1
-
-#include "Constraint.defs.hh"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-inline dimension_type
-MIP_Problem::max_space_dimension() {
- return Constraint::max_space_dimension();
-}
-
-inline dimension_type
-MIP_Problem::space_dimension() const {
- return external_space_dim;
-}
-
-
-inline
-MIP_Problem::MIP_Problem(const MIP_Problem& y)
- : external_space_dim(y.external_space_dim),
- internal_space_dim(y.internal_space_dim),
- tableau(y.tableau),
- working_cost(y.working_cost),
- mapping(y.mapping),
- base(y.base),
- status(y.status),
- pricing(y.pricing),
- initialized(y.initialized),
- input_cs(),
- inherited_constraints(0),
- first_pending_constraint(),
- input_obj_function(y.input_obj_function),
- opt_mode(y.opt_mode),
- last_generator(y.last_generator),
- i_variables(y.i_variables) {
- input_cs.reserve(y.input_cs.size());
- for (Constraint_Sequence::const_iterator
- i = y.input_cs.begin(), i_end = y.input_cs.end();
- i != i_end; ++i)
- add_constraint_helper(*(*i));
- PPL_ASSERT(OK());
-}
-
-inline
-MIP_Problem::MIP_Problem(const MIP_Problem& y, Inherit_Constraints)
- : external_space_dim(y.external_space_dim),
- internal_space_dim(y.internal_space_dim),
- tableau(y.tableau),
- working_cost(y.working_cost),
- mapping(y.mapping),
- base(y.base),
- status(y.status),
- pricing(y.pricing),
- initialized(y.initialized),
- input_cs(y.input_cs),
- // NOTE: The constraints are inherited, NOT copied!
- inherited_constraints(y.input_cs.size()),
- first_pending_constraint(y.first_pending_constraint),
- input_obj_function(y.input_obj_function),
- opt_mode(y.opt_mode),
- last_generator(y.last_generator),
- i_variables(y.i_variables) {
- PPL_ASSERT(OK());
-}
-
-inline void
-MIP_Problem::add_constraint_helper(const Constraint& c) {
- // For exception safety, reserve space for the new element.
- const dimension_type size = input_cs.size();
- if (size == input_cs.capacity()) {
- const dimension_type max_size = input_cs.max_size();
- if (size == max_size)
- throw std::length_error("MIP_Problem::add_constraint(): "
- "too many constraints");
- // Use an exponential grow policy to avoid too many reallocations.
- input_cs.reserve(compute_capacity(size + 1, max_size));
- }
-
- // This operation does not throw, because the space for the new element
- // has already been reserved: hence the new-ed Constraint is safe.
- input_cs.push_back(new Constraint(c));
-}
-
-inline
-MIP_Problem::~MIP_Problem() {
- // NOTE: do NOT delete inherited constraints; they are owned
- // (and will eventually be deleted) by ancestors.
- for (Constraint_Sequence::const_iterator
- i = nth_iter(input_cs, inherited_constraints),
- i_end = input_cs.end(); i != i_end; ++i)
- delete *i;
-}
-
-
-inline void
-MIP_Problem::set_optimization_mode(const Optimization_Mode mode) {
- if (opt_mode != mode) {
- opt_mode = mode;
- if (status == UNBOUNDED || status == OPTIMIZED)
- status = SATISFIABLE;
- PPL_ASSERT(OK());
- }
-}
-
-inline const Linear_Expression&
-MIP_Problem::objective_function() const {
- return input_obj_function;
-}
-
-inline Optimization_Mode
-MIP_Problem::optimization_mode() const {
- return opt_mode;
-}
-
-inline void
-MIP_Problem::optimal_value(Coefficient& numer, Coefficient& denom) const {
- const Generator& g = optimizing_point();
- evaluate_objective_function(g, numer, denom);
-}
-
-inline MIP_Problem::const_iterator
-MIP_Problem::constraints_begin() const {
- return const_iterator(input_cs.begin());
-}
-
-inline MIP_Problem::const_iterator
-MIP_Problem::constraints_end() const {
- return const_iterator(input_cs.end());
-}
-
-inline const Variables_Set&
-MIP_Problem::integer_space_dimensions() const {
- return i_variables;
-}
-
-inline MIP_Problem::Control_Parameter_Value
-MIP_Problem::get_control_parameter(Control_Parameter_Name name) const {
- PPL_USED(name);
- PPL_ASSERT(name == PRICING);
- return pricing;
-}
-
-inline void
-MIP_Problem::set_control_parameter(Control_Parameter_Value value) {
- pricing = value;
-}
-
-inline void
-MIP_Problem::m_swap(MIP_Problem& y) {
- using std::swap;
- swap(external_space_dim, y.external_space_dim);
- swap(internal_space_dim, y.internal_space_dim);
- swap(tableau, y.tableau);
- swap(working_cost, y.working_cost);
- swap(mapping, y.mapping);
- swap(initialized, y.initialized);
- swap(base, y.base);
- swap(status, y.status);
- swap(pricing, y.pricing);
- swap(input_cs, y.input_cs);
- swap(inherited_constraints, y.inherited_constraints);
- swap(first_pending_constraint, y.first_pending_constraint);
- swap(input_obj_function, y.input_obj_function);
- swap(opt_mode, y.opt_mode);
- swap(last_generator, y.last_generator);
- swap(i_variables, y.i_variables);
-}
-
-inline MIP_Problem&
-MIP_Problem::operator=(const MIP_Problem& y) {
- MIP_Problem tmp(y);
- m_swap(tmp);
- return *this;
-}
-
-inline void
-MIP_Problem::clear() {
- MIP_Problem tmp;
- m_swap(tmp);
-}
-
-
-inline memory_size_type
-MIP_Problem::external_memory_in_bytes() const {
- memory_size_type n
- = working_cost.external_memory_in_bytes()
- + tableau.external_memory_in_bytes()
- + input_obj_function.external_memory_in_bytes()
- + last_generator.external_memory_in_bytes();
-
- // Adding the external memory for `input_cs'.
- // NOTE: disregard inherited constraints, as they are owned by ancestors.
- n += input_cs.capacity() * sizeof(Constraint*);
- for (Constraint_Sequence::const_iterator
- i = nth_iter(input_cs, inherited_constraints),
- i_end = input_cs.end(); i != i_end; ++i)
- n += ((*i)->total_memory_in_bytes());
-
- // Adding the external memory for `base'.
- n += base.capacity() * sizeof(dimension_type);
- // Adding the external memory for `mapping'.
- n += mapping.capacity() * sizeof(std::pair<dimension_type, dimension_type>);
- return n;
-}
-
-inline memory_size_type
-MIP_Problem::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline
-MIP_Problem::const_iterator::const_iterator(Base base)
- : itr(base) {
-}
-
-inline MIP_Problem::const_iterator::difference_type
-MIP_Problem::const_iterator::operator-(const const_iterator& y) const {
- return itr - y.itr;
-}
-
-inline MIP_Problem::const_iterator&
-MIP_Problem::const_iterator::operator++() {
- ++itr;
- return *this;
-}
-
-inline MIP_Problem::const_iterator&
-MIP_Problem::const_iterator::operator--() {
- --itr;
- return *this;
-}
-
-inline MIP_Problem::const_iterator
-MIP_Problem::const_iterator::operator++(int) {
- const_iterator x = *this;
- operator++();
- return x;
-}
-
-inline MIP_Problem::const_iterator
-MIP_Problem::const_iterator::operator--(int) {
- const_iterator x = *this;
- operator--();
- return x;
-}
-
-inline MIP_Problem::const_iterator
-MIP_Problem::const_iterator::operator+(difference_type n) const {
- return const_iterator(itr + n);
-}
-
-inline MIP_Problem::const_iterator
-MIP_Problem::const_iterator::operator-(difference_type n) const {
- return const_iterator(itr - n);
-}
-
-inline MIP_Problem::const_iterator&
-MIP_Problem::const_iterator::operator+=(difference_type n) {
- itr += n;
- return *this;
-}
-
-inline MIP_Problem::const_iterator&
-MIP_Problem::const_iterator::operator-=(difference_type n) {
- itr -= n;
- return *this;
-}
-
-inline MIP_Problem::const_iterator::reference
-MIP_Problem::const_iterator::operator*() const {
- return *(*itr);
-}
-
-inline MIP_Problem::const_iterator::pointer
-MIP_Problem::const_iterator::operator->() const {
- return *itr;
-}
-
-inline bool
-MIP_Problem::const_iterator::operator==(const const_iterator& y) const {
- return itr == y.itr;
-}
-
-inline bool
-MIP_Problem::const_iterator::operator!=(const const_iterator& y) const {
- return itr != y.itr;
-}
-
-/*! \relates MIP_Problem */
-inline void
-swap(MIP_Problem& x, MIP_Problem& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_MIP_Problem_inlines_hh)
diff --git a/src/MIP_Problem.templates.hh b/src/MIP_Problem.templates.hh
deleted file mode 100644
index 530c89d..0000000
--- a/src/MIP_Problem.templates.hh
+++ /dev/null
@@ -1,181 +0,0 @@
-/* MIP_Problem class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_MIP_Problem_templates_hh
-#define PPL_MIP_Problem_templates_hh 1
-
-#include "Variables_Set.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename In>
-MIP_Problem::MIP_Problem(const dimension_type dim,
- In first, In last,
- const Variables_Set& int_vars,
- const Linear_Expression& obj,
- const Optimization_Mode mode)
- : external_space_dim(dim),
- internal_space_dim(0),
- tableau(),
- working_cost(0),
- mapping(),
- base(),
- status(PARTIALLY_SATISFIABLE),
- pricing(PRICING_STEEPEST_EDGE_FLOAT),
- initialized(false),
- input_cs(),
- inherited_constraints(0),
- first_pending_constraint(0),
- input_obj_function(obj),
- opt_mode(mode),
- last_generator(point()),
- i_variables(int_vars) {
- // Check that integer Variables_Set does not exceed the space dimension
- // of the problem.
- if (i_variables.space_dimension() > external_space_dim) {
- std::ostringstream s;
- s << "PPL::MIP_Problem::MIP_Problem"
- << "(dim, first, last, int_vars, obj, mode):\n"
- << "dim == "<< external_space_dim << " and int_vars.space_dimension() =="
- << " " << i_variables.space_dimension() << " are dimension"
- "incompatible.";
- throw std::invalid_argument(s.str());
- }
-
- // Check for space dimension overflow.
- if (dim > max_space_dimension())
- throw std::length_error("PPL::MIP_Problem:: MIP_Problem(dim, first, "
- "last, int_vars, obj, mode):\n"
- "dim exceeds the maximum allowed"
- "space dimension.");
- // Check the objective function.
- if (obj.space_dimension() > dim) {
- std::ostringstream s;
- s << "PPL::MIP_Problem::MIP_Problem(dim, first, last,"
- << "int_vars, obj, mode):\n"
- << "obj.space_dimension() == "<< obj.space_dimension()
- << " exceeds d == "<< dim << ".";
- throw std::invalid_argument(s.str());
- }
- // Check the constraints.
- try {
- for (In i = first; i != last; ++i) {
- if (i->is_strict_inequality())
- throw std::invalid_argument("PPL::MIP_Problem::"
- "MIP_Problem(dim, first, last, int_vars,"
- "obj, mode):\nrange [first, last) contains"
- "a strict inequality constraint.");
- if (i->space_dimension() > dim) {
- std::ostringstream s;
- s << "PPL::MIP_Problem::"
- << "MIP_Problem(dim, first, last, int_vars, obj, mode):\n"
- << "range [first, last) contains a constraint having space"
- << "dimension == " << i->space_dimension() << " that exceeds"
- "this->space_dimension == " << dim << ".";
- throw std::invalid_argument(s.str());
- }
- add_constraint_helper(*i);
- }
- } catch (...) {
- // Delete the allocated constraints, to avoid memory leaks.
-
- for (Constraint_Sequence::const_iterator
- i = input_cs.begin(), i_end = input_cs.end(); i != i_end; ++i)
- delete *i;
-
- throw;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename In>
-MIP_Problem::MIP_Problem(dimension_type dim,
- In first, In last,
- const Linear_Expression& obj,
- Optimization_Mode mode)
- : external_space_dim(dim),
- internal_space_dim(0),
- tableau(),
- working_cost(0),
- mapping(),
- base(),
- status(PARTIALLY_SATISFIABLE),
- pricing(PRICING_STEEPEST_EDGE_FLOAT),
- initialized(false),
- input_cs(),
- inherited_constraints(0),
- first_pending_constraint(0),
- input_obj_function(obj),
- opt_mode(mode),
- last_generator(point()),
- i_variables() {
- // Check for space dimension overflow.
- if (dim > max_space_dimension())
- throw std::length_error("PPL::MIP_Problem::"
- "MIP_Problem(dim, first, last, obj, mode):\n"
- "dim exceeds the maximum allowed space "
- "dimension.");
- // Check the objective function.
- if (obj.space_dimension() > dim) {
- std::ostringstream s;
- s << "PPL::MIP_Problem::MIP_Problem(dim, first, last,"
- << " obj, mode):\n"
- << "obj.space_dimension() == "<< obj.space_dimension()
- << " exceeds d == "<< dim << ".";
- throw std::invalid_argument(s.str());
- }
- // Check the constraints.
- try {
- for (In i = first; i != last; ++i) {
- if (i->is_strict_inequality())
- throw std::invalid_argument("PPL::MIP_Problem::"
- "MIP_Problem(dim, first, last, obj, mode):"
- "\n"
- "range [first, last) contains a strict "
- "inequality constraint.");
- if (i->space_dimension() > dim) {
- std::ostringstream s;
- s << "PPL::MIP_Problem::"
- << "MIP_Problem(dim, first, last, obj, mode):\n"
- << "range [first, last) contains a constraint having space"
- << "dimension" << " == " << i->space_dimension() << " that exceeds"
- "this->space_dimension == " << dim << ".";
- throw std::invalid_argument(s.str());
- }
- add_constraint_helper(*i);
- }
- } catch (...) {
- // Delete the allocated constraints, to avoid memory leaks.
-
- for (Constraint_Sequence::const_iterator
- i = input_cs.begin(), i_end = input_cs.end(); i != i_end; ++i)
- delete *i;
-
- throw;
- }
- PPL_ASSERT(OK());
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_MIP_Problem_templates_hh)
diff --git a/src/MIP_Problem.types.hh b/src/MIP_Problem.types.hh
deleted file mode 100644
index 0600835..0000000
--- a/src/MIP_Problem.types.hh
+++ /dev/null
@@ -1,33 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_MIP_Problem_types_hh
-#define PPL_MIP_Problem_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-//! Possible outcomes of the MIP_Problem solver.
-/*! \ingroup PPL_CXX_interface */
-enum MIP_Problem_Status {
- //! The problem is unfeasible.
- UNFEASIBLE_MIP_PROBLEM,
- //! The problem is unbounded.
- UNBOUNDED_MIP_PROBLEM,
- //! The problem has an optimal solution.
- OPTIMIZED_MIP_PROBLEM
-};
-
-class MIP_Problem;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_MIP_Problem_types_hh)
diff --git a/src/MIP_Problem_defs.hh b/src/MIP_Problem_defs.hh
new file mode 100644
index 0000000..989838f
--- /dev/null
+++ b/src/MIP_Problem_defs.hh
@@ -0,0 +1,975 @@
+/* MIP_Problem class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_MIP_Problem_defs_hh
+#define PPL_MIP_Problem_defs_hh 1
+
+#include "MIP_Problem_types.hh"
+#include "globals_types.hh"
+#include "Matrix_defs.hh"
+#include "Linear_Expression_defs.hh"
+#include "Constraint_types.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_defs.hh"
+#include "Variables_Set_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+#include <vector>
+#include <deque>
+#include <iterator>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::MIP_Problem */
+std::ostream&
+operator<<(std::ostream& s, const MIP_Problem& mip);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates MIP_Problem */
+void swap(MIP_Problem& x, MIP_Problem& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A Mixed Integer (linear) Programming problem.
+/*! \ingroup PPL_CXX_interface
+ An object of this class encodes a mixed integer (linear) programming
+ problem.
+ The MIP problem is specified by providing:
+ - the dimension of the vector space;
+ - the feasible region, by means of a finite set of linear equality
+ and non-strict inequality constraints;
+ - the subset of the unknown variables that range over the integers
+ (the other variables implicitly ranging over the reals);
+ - the objective function, described by a Linear_Expression;
+ - the optimization mode (either maximization or minimization).
+
+ The class provides support for the (incremental) solution of the
+ MIP problem based on variations of the revised simplex method and
+ on branch-and-bound techniques. The result of the resolution
+ process is expressed in terms of an enumeration, encoding the
+ feasibility and the unboundedness of the optimization problem.
+ The class supports simple feasibility tests (i.e., no optimization),
+ as well as the extraction of an optimal (resp., feasible) point,
+ provided the MIP_Problem is optimizable (resp., feasible).
+
+ By exploiting the incremental nature of the solver, it is possible
+ to reuse part of the computational work already done when solving
+ variants of a given MIP_Problem: currently, incremental resolution
+ supports the addition of space dimensions, the addition of constraints,
+ the change of objective function and the change of optimization mode.
+*/
+class Parma_Polyhedra_Library::MIP_Problem {
+public:
+ //! Builds a trivial MIP problem.
+ /*!
+ A trivial MIP problem requires to maximize the objective function
+ \f$0\f$ on a vector space under no constraints at all:
+ the origin of the vector space is an optimal solution.
+
+ \param dim
+ The dimension of the vector space enclosing \p *this
+ (optional argument with default value \f$0\f$).
+
+ \exception std::length_error
+ Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
+ */
+ explicit MIP_Problem(dimension_type dim = 0);
+
+ /*! \brief
+ Builds an MIP problem having space dimension \p dim
+ from the sequence of constraints in the range
+ \f$[\mathrm{first}, \mathrm{last})\f$,
+ the objective function \p obj and optimization mode \p mode;
+ those dimensions whose indices occur in \p int_vars are
+ constrained to take an integer value.
+
+ \param dim
+ The dimension of the vector space enclosing \p *this.
+
+ \param first
+ An input iterator to the start of the sequence of constraints.
+
+ \param last
+ A past-the-end input iterator to the sequence of constraints.
+
+ \param int_vars
+ The set of variables' indexes that are constrained to take integer values.
+
+ \param obj
+ The objective function (optional argument with default value \f$0\f$).
+
+ \param mode
+ The optimization mode (optional argument with default value
+ <CODE>MAXIMIZATION</CODE>).
+
+ \exception std::length_error
+ Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
+
+ \exception std::invalid_argument
+ Thrown if a constraint in the sequence is a strict inequality,
+ if the space dimension of a constraint (resp., of the
+ objective function or of the integer variables) or the space dimension
+ of the integer variable set is strictly greater than \p dim.
+ */
+ template <typename In>
+ MIP_Problem(dimension_type dim,
+ In first, In last,
+ const Variables_Set& int_vars,
+ const Linear_Expression& obj = Linear_Expression::zero(),
+ Optimization_Mode mode = MAXIMIZATION);
+
+ /*! \brief
+ Builds an MIP problem having space dimension \p dim
+ from the sequence of constraints in the range
+ \f$[\mathrm{first}, \mathrm{last})\f$,
+ the objective function \p obj and optimization mode \p mode.
+
+ \param dim
+ The dimension of the vector space enclosing \p *this.
+
+ \param first
+ An input iterator to the start of the sequence of constraints.
+
+ \param last
+ A past-the-end input iterator to the sequence of constraints.
+
+ \param obj
+ The objective function (optional argument with default value \f$0\f$).
+
+ \param mode
+ The optimization mode (optional argument with default value
+ <CODE>MAXIMIZATION</CODE>).
+
+ \exception std::length_error
+ Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
+
+ \exception std::invalid_argument
+ Thrown if a constraint in the sequence is a strict inequality
+ or if the space dimension of a constraint (resp., of the
+ objective function or of the integer variables) is strictly
+ greater than \p dim.
+ */
+ template <typename In>
+ MIP_Problem(dimension_type dim,
+ In first, In last,
+ const Linear_Expression& obj = Linear_Expression::zero(),
+ Optimization_Mode mode = MAXIMIZATION);
+
+ /*! \brief
+ Builds an MIP problem having space dimension \p dim from the constraint
+ system \p cs, the objective function \p obj and optimization mode \p mode.
+
+ \param dim
+ The dimension of the vector space enclosing \p *this.
+
+ \param cs
+ The constraint system defining the feasible region.
+
+ \param obj
+ The objective function (optional argument with default value \f$0\f$).
+
+ \param mode
+ The optimization mode (optional argument with default value
+ <CODE>MAXIMIZATION</CODE>).
+
+ \exception std::length_error
+ Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
+
+ \exception std::invalid_argument
+ Thrown if the constraint system contains any strict inequality
+ or if the space dimension of the constraint system (resp., the
+ objective function) is strictly greater than \p dim.
+ */
+ MIP_Problem(dimension_type dim,
+ const Constraint_System& cs,
+ const Linear_Expression& obj = Linear_Expression::zero(),
+ Optimization_Mode mode = MAXIMIZATION);
+
+ //! Ordinary copy constructor.
+ MIP_Problem(const MIP_Problem& y);
+
+ //! Destructor.
+ ~MIP_Problem();
+
+ //! Assignment operator.
+ MIP_Problem& operator=(const MIP_Problem& y);
+
+ //! Returns the maximum space dimension an MIP_Problem can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the space dimension of the MIP problem.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns a set containing all the variables' indexes constrained
+ to be integral.
+ */
+ const Variables_Set& integer_space_dimensions() const;
+
+private:
+ //! A type alias for a sequence of constraints.
+ typedef std::vector<Constraint*> Constraint_Sequence;
+
+public:
+ //! A read-only iterator on the constraints defining the feasible region.
+ class const_iterator {
+ private:
+ typedef Constraint_Sequence::const_iterator Base;
+ typedef std::iterator_traits<Base> Base_Traits;
+ public:
+ typedef Base_Traits::iterator_category iterator_category;
+ typedef Base_Traits::difference_type difference_type;
+ typedef const Constraint value_type;
+ typedef const Constraint* pointer;
+ typedef const Constraint& reference;
+
+ //! Iterator difference: computes distances.
+ difference_type operator-(const const_iterator& y) const;
+
+ //! Prefix increment.
+ const_iterator& operator++();
+
+ //! Prefix decrement.
+ const_iterator& operator--();
+
+ //! Postfix increment.
+ const_iterator operator++(int);
+
+ //! Postfix decrement.
+ const_iterator operator--(int);
+
+ //! Moves iterator forward of \p n positions.
+ const_iterator& operator+=(difference_type n);
+
+ //! Moves iterator backward of \p n positions.
+ const_iterator& operator-=(difference_type n);
+
+ //! Returns an iterator \p n positions forward.
+ const_iterator operator+(difference_type n) const;
+
+ //! Returns an iterator \p n positions backward.
+ const_iterator operator-(difference_type n) const;
+
+ //! Returns a reference to the "pointed" object.
+ reference operator*() const;
+
+ //! Returns the address of the "pointed" object.
+ pointer operator->() const;
+
+ //! Compares \p *this with y.
+ /*!
+ \param y
+ The %iterator that will be compared with *this.
+ */
+ bool operator==(const const_iterator& y) const;
+
+ //! Compares \p *this with y.
+ /*!
+ \param y
+ The %iterator that will be compared with *this.
+ */
+ bool operator!=(const const_iterator& y) const;
+
+ private:
+ //! Constructor from a Base iterator.
+ explicit const_iterator(Base base);
+
+ //! The Base iterator on the Constraint_Sequence.
+ Base itr;
+
+ friend class MIP_Problem;
+ };
+
+ /*! \brief
+ Returns a read-only iterator to the first constraint defining
+ the feasible region.
+ */
+ const_iterator constraints_begin() const;
+
+ /*! \brief
+ Returns a past-the-end read-only iterator to the sequence of
+ constraints defining the feasible region.
+ */
+ const_iterator constraints_end() const;
+
+ //! Returns the objective function.
+ const Linear_Expression& objective_function() const;
+
+ //! Returns the optimization mode.
+ Optimization_Mode optimization_mode() const;
+
+ //! Resets \p *this to be equal to the trivial MIP problem.
+ /*!
+ The space dimension is reset to \f$0\f$.
+ */
+ void clear();
+
+ /*! \brief
+ Adds \p m new space dimensions and embeds the old MIP problem
+ in the new vector space.
+
+ \param m
+ The number of dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ The new space dimensions will be those having the highest indexes
+ in the new MIP problem; they are initially unconstrained.
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Sets the variables whose indexes are in set \p i_vars to be
+ integer space dimensions.
+
+ \exception std::invalid_argument
+ Thrown if some index in \p i_vars does not correspond to
+ a space dimension in \p *this.
+ */
+ void add_to_integer_space_dimensions(const Variables_Set& i_vars);
+
+ /*! \brief
+ Adds a copy of constraint \p c to the MIP problem.
+
+ \exception std::invalid_argument
+ Thrown if the constraint \p c is a strict inequality or if its space
+ dimension is strictly greater than the space dimension of \p *this.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds a copy of the constraints in \p cs to the MIP problem.
+
+ \exception std::invalid_argument
+ Thrown if the constraint system \p cs contains any strict inequality
+ or if its space dimension is strictly greater than the space dimension
+ of \p *this.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ //! Sets the objective function to \p obj.
+ /*!
+ \exception std::invalid_argument
+ Thrown if the space dimension of \p obj is strictly greater than
+ the space dimension of \p *this.
+ */
+ void set_objective_function(const Linear_Expression& obj);
+
+ //! Sets the optimization mode to \p mode.
+ void set_optimization_mode(Optimization_Mode mode);
+
+ //! Checks satisfiability of \p *this.
+ /*!
+ \return
+ <CODE>true</CODE> if and only if the MIP problem is satisfiable.
+ */
+ bool is_satisfiable() const;
+
+ //! Optimizes the MIP problem.
+ /*!
+ \return
+ An MIP_Problem_Status flag indicating the outcome of the optimization
+ attempt (unfeasible, unbounded or optimized problem).
+ */
+ MIP_Problem_Status solve() const;
+
+ /*! \brief
+ Sets \p num and \p denom so that
+ \f$\frac{\mathtt{numer}}{\mathtt{denom}}\f$ is the result of
+ evaluating the objective function on \p evaluating_point.
+
+ \param evaluating_point
+ The point on which the objective function will be evaluated.
+
+ \param numer
+ On exit will contain the numerator of the evaluated value.
+
+ \param denom
+ On exit will contain the denominator of the evaluated value.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p evaluating_point are dimension-incompatible
+ or if the generator \p evaluating_point is not a point.
+ */
+ void evaluate_objective_function(const Generator& evaluating_point,
+ Coefficient& numer,
+ Coefficient& denom) const;
+
+ //! Returns a feasible point for \p *this, if it exists.
+ /*!
+ \exception std::domain_error
+ Thrown if the MIP problem is not satisfiable.
+ */
+ const Generator& feasible_point() const;
+
+ //! Returns an optimal point for \p *this, if it exists.
+ /*!
+ \exception std::domain_error
+ Thrown if \p *this does not not have an optimizing point, i.e.,
+ if the MIP problem is unbounded or not satisfiable.
+ */
+ const Generator& optimizing_point() const;
+
+ /*! \brief
+ Sets \p numer and \p denom so that
+ \f$\frac{\mathtt{numer}}{\mathtt{denom}}\f$ is the solution of the
+ optimization problem.
+
+ \exception std::domain_error
+ Thrown if \p *this does not not have an optimizing point, i.e.,
+ if the MIP problem is unbounded or not satisfiable.
+ */
+ void optimal_value(Coefficient& numer, Coefficient& denom) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(MIP_Problem& y);
+
+ //! Names of MIP problems' control parameters.
+ enum Control_Parameter_Name {
+ //! The pricing rule.
+ PRICING
+ };
+
+ //! Possible values for MIP problem's control parameters.
+ enum Control_Parameter_Value {
+ //! Steepest edge pricing method, using floating points (default).
+ PRICING_STEEPEST_EDGE_FLOAT,
+ //! Steepest edge pricing method, using Coefficient.
+ PRICING_STEEPEST_EDGE_EXACT,
+ //! Textbook pricing method.
+ PRICING_TEXTBOOK
+ };
+
+ //! Returns the value of the control parameter \p name.
+ Control_Parameter_Value
+ get_control_parameter(Control_Parameter_Name name) const;
+
+ //! Sets control parameter \p value.
+ void set_control_parameter(Control_Parameter_Value value);
+
+private:
+ //! The dimension of the vector space.
+ dimension_type external_space_dim;
+
+ /*! \brief
+ The space dimension of the current (partial) solution of the
+ MIP problem; it may be smaller than \p external_space_dim.
+ */
+ dimension_type internal_space_dim;
+
+#if PPL_USE_SPARSE_MATRIX
+ typedef Sparse_Row Row;
+#else
+ typedef Dense_Row Row;
+#endif
+
+ //! The matrix encoding the current feasible region in tableau form.
+ Matrix<Row> tableau;
+
+ typedef Row working_cost_type;
+
+ //! The working cost function.
+ working_cost_type working_cost;
+
+ //! A map between the variables of `input_cs' and `tableau'.
+ /*!
+ Contains all the pairs (i, j) such that mapping[i].first encodes the index
+ of the column in the tableau where input_cs[i] is stored; if
+ mapping[i].second is not a zero, it encodes the split part of the tableau
+ of input_cs[i].
+ The "positive" one is represented by mapping[i].first and the "negative"
+ one is represented by mapping[i].second.
+ */
+ std::vector<std::pair<dimension_type, dimension_type> > mapping;
+
+ //! The current basic solution.
+ std::vector<dimension_type> base;
+
+ //! An enumerated type describing the internal status of the MIP problem.
+ enum Status {
+ //! The MIP problem is unsatisfiable.
+ UNSATISFIABLE,
+ //! The MIP problem is satisfiable; a feasible solution has been computed.
+ SATISFIABLE,
+ //! The MIP problem is unbounded; a feasible solution has been computed.
+ UNBOUNDED,
+ //! The MIP problem is optimized; an optimal solution has been computed.
+ OPTIMIZED,
+ /*! \brief
+ The feasible region of the MIP problem has been changed by adding
+ new space dimensions or new constraints; a feasible solution for
+ the old feasible region is still available.
+ */
+ PARTIALLY_SATISFIABLE
+ };
+
+ //! The internal state of the MIP problem.
+ Status status;
+
+ // TODO: merge `status', `initialized', `pricing' and (maybe) `opt_mode'
+ // into a single bitset status word, so as to save space and allow
+ // for other control parameters.
+
+ //! The pricing method in use.
+ Control_Parameter_Value pricing;
+
+ /*! \brief
+ A Boolean encoding whether or not internal data structures have
+ already been properly sized and populated: useful to allow for
+ deeper checks in method OK().
+ */
+ bool initialized;
+
+ //! The sequence of constraints describing the feasible region.
+ std::vector<Constraint*> input_cs;
+
+ /*! \brief
+ The number of constraints that are inherited from our parent
+ in the recursion tree built when solving via branch-and-bound.
+
+ The first \c inherited_constraints elements in \c input_cs point to
+ the inherited constraints, whose resources are owned by our ancestors.
+ The resources of the other elements in \c input_cs are owned by \c *this
+ and should be appropriately released on destruction.
+ */
+ dimension_type inherited_constraints;
+
+ //! The first index of `input_cs' containing a pending constraint.
+ dimension_type first_pending_constraint;
+
+ //! The objective function to be optimized.
+ Linear_Expression input_obj_function;
+
+ //! The optimization mode requested.
+ Optimization_Mode opt_mode;
+
+ //! The last successfully computed feasible or optimizing point.
+ Generator last_generator;
+
+ /*! \brief
+ A set containing all the indexes of variables that are constrained
+ to have an integer value.
+ */
+ Variables_Set i_variables;
+
+ //! A helper class to temporarily relax a MIP problem using RAII.
+ struct RAII_Temporary_Real_Relaxation {
+ MIP_Problem& lp;
+ Variables_Set i_vars;
+
+ RAII_Temporary_Real_Relaxation(MIP_Problem& mip)
+ : lp(mip), i_vars() {
+ // Turn mip into an LP problem (saving i_variables in i_vars).
+ using std::swap;
+ swap(i_vars, lp.i_variables);
+ }
+
+ ~RAII_Temporary_Real_Relaxation() {
+ // Restore the original set of integer variables.
+ using std::swap;
+ swap(i_vars, lp.i_variables);
+ }
+ };
+ friend struct RAII_Temporary_Real_Relaxation;
+
+ //! A tag type to distinguish normal vs. inheriting copy constructor.
+ struct Inherit_Constraints {};
+
+ //! Copy constructor inheriting constraints.
+ MIP_Problem(const MIP_Problem& y, Inherit_Constraints);
+
+ //! Helper method: implements exception safe addition.
+ void add_constraint_helper(const Constraint& c);
+
+ //! Processes the pending constraints of \p *this.
+ void process_pending_constraints();
+
+ /*! \brief
+ Optimizes the MIP problem using the second phase of the
+ primal simplex algorithm.
+ */
+ void second_phase();
+
+ /*! \brief
+ Assigns to \p this->tableau a simplex tableau representing the
+ MIP problem, inserting into \p this->mapping the information
+ that is required to recover the original MIP problem.
+
+ \return
+ <CODE>UNFEASIBLE_MIP_PROBLEM</CODE> if the constraint system contains
+ any trivially unfeasible constraint (tableau was not computed);
+ <CODE>UNBOUNDED_MIP_PROBLEM</CODE> if the problem is trivially unbounded
+ (the computed tableau contains no constraints);
+ <CODE>OPTIMIZED_MIP_PROBLEM></CODE> if the problem is neither trivially
+ unfeasible nor trivially unbounded (the tableau was computed
+ successfully).
+ */
+ MIP_Problem_Status
+ compute_tableau(std::vector<dimension_type>& worked_out_row);
+
+ /*! \brief
+ Parses the pending constraints to gather information on
+ how to resize the tableau.
+
+ \note
+ All of the method parameters are output parameters; their value
+ is only meaningful when the function exit returning value \c true.
+
+ \return
+ \c false if a trivially false constraint is detected, \c true otherwise.
+
+ \param additional_tableau_rows
+ On exit, this will store the number of rows that have to be added
+ to the original tableau.
+
+ \param additional_slack_variables
+ This will store the number of slack variables that have to be added
+ to the original tableau.
+
+ \param is_tableau_constraint
+ This container of Boolean flags is initially empty. On exit, it size
+ will be equal to the number of pending constraints in \c input_cs.
+ For each pending constraint index \c i, the corresponding element
+ of this container (having index <CODE>i - first_pending_constraint</CODE>)
+ will be set to \c true if and only if the constraint has to be included
+ in the tableau.
+
+ \param is_satisfied_inequality
+ This container of Boolean flags is initially empty. On exit, its size
+ will be equal to the number of pending constraints in \c input_cs.
+ For each pending constraint index \c i, the corresponding element
+ of this container (having index <CODE>i - first_pending_constraint</CODE>)
+ will be set to \c true if and only if it is an inequality and it
+ is already satisfied by \c last_generator (hence it does not require
+ the introduction of an artificial variable).
+
+ \param is_nonnegative_variable
+ This container of Boolean flags is initially empty.
+ On exit, it size is equal to \c external_space_dim.
+ For each variable (index), the corresponding element of this container
+ is \c true if the variable is known to be nonnegative (and hence should
+ not be split into a positive and a negative part).
+
+ \param is_remergeable_variable
+ This container of Boolean flags is initially empty.
+ On exit, it size is equal to \c internal_space_dim.
+ For each variable (index), the corresponding element of this container
+ is \c true if the variable was previously split into positive and
+ negative parts that can now be merged back, since it is known
+ that the variable is nonnegative.
+ */
+ bool parse_constraints(dimension_type& additional_tableau_rows,
+ dimension_type& additional_slack_variables,
+ std::deque<bool>& is_tableau_constraint,
+ std::deque<bool>& is_satisfied_inequality,
+ std::deque<bool>& is_nonnegative_variable,
+ std::deque<bool>& is_remergeable_variable) const;
+
+ /*! \brief
+ Computes the row index of the variable exiting the base
+ of the MIP problem. Implemented with anti-cycling rule.
+
+ \return
+ The row index of the variable exiting the base.
+
+ \param entering_var_index
+ The column index of the variable entering the base.
+ */
+ dimension_type
+ get_exiting_base_index(dimension_type entering_var_index) const;
+
+ //! Linearly combines \p x with \p y so that <CODE>*this[k]</CODE> is 0.
+ /*!
+ \param x
+ The row that will be combined with \p y object.
+
+ \param y
+ The row that will be combined with \p x object.
+
+ \param k
+ The position of \p *this that have to be \f$0\f$.
+
+ Computes a linear combination of \p x and \p y having
+ the element of index \p k equal to \f$0\f$. Then it assigns
+ the resulting Row to \p x and normalizes it.
+ */
+ static void linear_combine(Row& x, const Row& y, const dimension_type k);
+
+ // TODO: Remove this when the sparse working cost has been tested enough.
+#if PPL_USE_SPARSE_MATRIX
+
+ //! Linearly combines \p x with \p y so that <CODE>*this[k]</CODE> is 0.
+ /*!
+ \param x
+ The row that will be combined with \p y object.
+
+ \param y
+ The row that will be combined with \p x object.
+
+ \param k
+ The position of \p *this that have to be \f$0\f$.
+
+ Computes a linear combination of \p x and \p y having
+ the element of index \p k equal to \f$0\f$. Then it assigns
+ the resulting Dense_Row to \p x and normalizes it.
+ */
+ static void linear_combine(Dense_Row& x, const Sparse_Row& y,
+ const dimension_type k);
+
+#endif // defined(PPL_USE_SPARSE_MATRIX)
+
+ static bool is_unbounded_obj_function(
+ const Linear_Expression& obj_function,
+ const std::vector<std::pair<dimension_type, dimension_type> >& mapping,
+ Optimization_Mode optimization_mode);
+
+ /*! \brief
+ Performs the pivoting operation on the tableau.
+
+ \param entering_var_index
+ The index of the variable entering the base.
+
+ \param exiting_base_index
+ The index of the row exiting the base.
+ */
+ void pivot(dimension_type entering_var_index,
+ dimension_type exiting_base_index);
+
+ /*! \brief
+ Computes the column index of the variable entering the base,
+ using the textbook algorithm with anti-cycling rule.
+
+ \return
+ The column index of the variable that enters the base.
+ If no such variable exists, optimality was achieved
+ and <CODE>0</CODE> is returned.
+ */
+ dimension_type textbook_entering_index() const;
+
+ /*! \brief
+ Computes the column index of the variable entering the base,
+ using an exact steepest-edge algorithm with anti-cycling rule.
+
+ \return
+ The column index of the variable that enters the base.
+ If no such variable exists, optimality was achieved
+ and <CODE>0</CODE> is returned.
+
+ To compute the entering_index, the steepest edge algorithm chooses
+ the index `j' such that \f$\frac{d_{j}}{\|\Delta x^{j} \|}\f$ is the
+ largest in absolute value, where
+ \f[
+ \|\Delta x^{j} \|
+ = \left(
+ 1+\sum_{i=1}^{m} \alpha_{ij}^2
+ \right)^{\frac{1}{2}}.
+ \f]
+ Recall that, due to the exact integer implementation of the algorithm,
+ our tableau does not contain the ``real'' \f$\alpha\f$ values, but these
+ can be computed dividing the value of the coefficient by the value of
+ the variable in base. Obviously the result may not be an integer, so
+ we will proceed in another way: we compute the lcm of all the variables
+ in base to get the good ``weight'' of each Coefficient of the tableau.
+ */
+ dimension_type steepest_edge_exact_entering_index() const;
+
+ /*! \brief
+ Same as steepest_edge_exact_entering_index,
+ but using floating points.
+
+ \note
+ Due to rounding errors, the index of the variable entering the base
+ of the MIP problem is not predictable across different architectures.
+ Hence, the overall simplex computation may differ in the path taken
+ to reach the optimum. Anyway, the exact final result will be computed
+ for the MIP_Problem.
+ */
+ dimension_type steepest_edge_float_entering_index() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and if only the algorithm successfully
+ computed a feasible solution.
+
+ \note
+ Uses an exact pricing method (either textbook or exact steepest edge),
+ so that the result is deterministic across different architectures.
+ */
+ bool compute_simplex_using_exact_pricing();
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and if only the algorithm successfully
+ computed a feasible solution.
+
+ \note
+ Uses a floating point implementation of the steepest edge pricing
+ method, so that the result is correct, but not deterministic across
+ different architectures.
+ */
+ bool compute_simplex_using_steepest_edge_float();
+
+ /*! \brief
+ Drop unnecessary artificial variables from the tableau and get ready
+ for the second phase of the simplex algorithm.
+
+ \note
+ The two parameters denote a STL-like half-open range.
+ It is assumed that \p begin_artificials is strictly greater than 0
+ and smaller than \p end_artificials.
+
+ \param begin_artificials
+ The start of the tableau column index range for artificial variables.
+
+ \param end_artificials
+ The end of the tableau column index range for artificial variables.
+ Note that column index end_artificial is \e excluded from the range.
+ */
+ void erase_artificials(dimension_type begin_artificials,
+ dimension_type end_artificials);
+
+ bool is_in_base(dimension_type var_index,
+ dimension_type& row_index) const;
+
+ /*! \brief
+ Computes a valid generator that satisfies all the constraints of the
+ Linear Programming problem associated to \p *this.
+ */
+ void compute_generator() const;
+
+ /*! \brief
+ Merges back the positive and negative part of a (previously split)
+ variable after detecting a corresponding nonnegativity constraint.
+
+ \return
+ If the negative part of \p var_index was in base, the index of
+ the corresponding tableau row (which has become non-feasible);
+ otherwise \c not_a_dimension().
+
+ \param var_index
+ The index of the variable that has to be merged.
+ */
+ dimension_type merge_split_variable(dimension_type var_index);
+
+ //! Returns <CODE>true</CODE> if and only if \p c is satisfied by \p g.
+ static bool is_satisfied(const Constraint& c, const Generator& g);
+
+ //! Returns <CODE>true</CODE> if and only if \p c is saturated by \p g.
+ static bool is_saturated(const Constraint& c, const Generator& g);
+
+ /*! \brief
+ Returns a status that encodes the solution of the MIP problem.
+
+ \param have_incumbent_solution
+ It is used to store if the solving process has found a provisional
+ optimum point.
+
+ \param incumbent_solution_value
+ Encodes the evaluated value of the provisional optimum point found.
+
+ \param incumbent_solution_point
+ If the method returns `OPTIMIZED', this will contain the optimality point.
+
+ \param mip
+ The problem that has to be solved.
+
+ \param i_vars
+ The variables that are constrained to take an integer value.
+ */
+ static MIP_Problem_Status solve_mip(bool& have_incumbent_solution,
+ mpq_class& incumbent_solution_value,
+ Generator& incumbent_solution_point,
+ MIP_Problem& mip,
+ const Variables_Set& i_vars);
+
+ /*! \brief
+ Returns \c true if and if only the LP problem is satisfiable.
+ */
+ bool is_lp_satisfiable() const;
+
+ /*! \brief
+ Returns \c true if and if only the MIP problem \p mip is satisfiable
+ when variables in \p i_vars can only take integral values.
+
+ \param mip
+ The MIP problem. This is assumed to have no integral space dimension
+ (so that it is a pure LP problem).
+
+ \param i_vars
+ The variables that are constrained to take integral values.
+
+ \param p
+ If \c true is returned, it will encode a feasible point.
+ */
+ static bool is_mip_satisfiable(MIP_Problem& mip,
+ const Variables_Set& i_vars,
+ Generator& p);
+
+ /*! \brief
+ Returns \c true if and if only \c mip.last_generator satisfies all the
+ integrality conditions implicitly stated using by \p i_vars.
+
+ \param mip
+ The MIP problem. This is assumed to have no integral space dimension
+ (so that it is a pure LP problem).
+
+ \param i_vars
+ The variables that are constrained to take an integer value.
+
+ \param branching_index
+ If \c false is returned, this will encode the non-integral variable
+ index on which the `branch and bound' algorithm should be applied.
+ */
+ static bool choose_branching_variable(const MIP_Problem& mip,
+ const Variables_Set& i_vars,
+ dimension_type& branching_index);
+};
+
+#include "MIP_Problem_inlines.hh"
+#include "MIP_Problem_templates.hh"
+
+#endif // !defined(PPL_MIP_Problem_defs_hh)
diff --git a/src/MIP_Problem_inlines.hh b/src/MIP_Problem_inlines.hh
new file mode 100644
index 0000000..97b3cce
--- /dev/null
+++ b/src/MIP_Problem_inlines.hh
@@ -0,0 +1,321 @@
+/* MIP_Problem class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_MIP_Problem_inlines_hh
+#define PPL_MIP_Problem_inlines_hh 1
+
+#include "Constraint_defs.hh"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+inline dimension_type
+MIP_Problem::max_space_dimension() {
+ return Constraint::max_space_dimension();
+}
+
+inline dimension_type
+MIP_Problem::space_dimension() const {
+ return external_space_dim;
+}
+
+
+inline
+MIP_Problem::MIP_Problem(const MIP_Problem& y)
+ : external_space_dim(y.external_space_dim),
+ internal_space_dim(y.internal_space_dim),
+ tableau(y.tableau),
+ working_cost(y.working_cost),
+ mapping(y.mapping),
+ base(y.base),
+ status(y.status),
+ pricing(y.pricing),
+ initialized(y.initialized),
+ input_cs(),
+ inherited_constraints(0),
+ first_pending_constraint(),
+ input_obj_function(y.input_obj_function),
+ opt_mode(y.opt_mode),
+ last_generator(y.last_generator),
+ i_variables(y.i_variables) {
+ input_cs.reserve(y.input_cs.size());
+ for (Constraint_Sequence::const_iterator i = y.input_cs.begin(),
+ i_end = y.input_cs.end(); i != i_end; ++i)
+ add_constraint_helper(*(*i));
+ PPL_ASSERT(OK());
+}
+
+inline
+MIP_Problem::MIP_Problem(const MIP_Problem& y, Inherit_Constraints)
+ : external_space_dim(y.external_space_dim),
+ internal_space_dim(y.internal_space_dim),
+ tableau(y.tableau),
+ working_cost(y.working_cost),
+ mapping(y.mapping),
+ base(y.base),
+ status(y.status),
+ pricing(y.pricing),
+ initialized(y.initialized),
+ input_cs(y.input_cs),
+ // NOTE: The constraints are inherited, NOT copied!
+ inherited_constraints(y.input_cs.size()),
+ first_pending_constraint(y.first_pending_constraint),
+ input_obj_function(y.input_obj_function),
+ opt_mode(y.opt_mode),
+ last_generator(y.last_generator),
+ i_variables(y.i_variables) {
+ PPL_ASSERT(OK());
+}
+
+inline void
+MIP_Problem::add_constraint_helper(const Constraint& c) {
+ // For exception safety, reserve space for the new element.
+ const dimension_type size = input_cs.size();
+ if (size == input_cs.capacity()) {
+ const dimension_type max_size = input_cs.max_size();
+ if (size == max_size)
+ throw std::length_error("MIP_Problem::add_constraint(): "
+ "too many constraints");
+ // Use an exponential grow policy to avoid too many reallocations.
+ input_cs.reserve(compute_capacity(size + 1, max_size));
+ }
+
+ // This operation does not throw, because the space for the new element
+ // has already been reserved: hence the new-ed Constraint is safe.
+ input_cs.push_back(new Constraint(c));
+}
+
+inline
+MIP_Problem::~MIP_Problem() {
+ // NOTE: do NOT delete inherited constraints; they are owned
+ // (and will eventually be deleted) by ancestors.
+ for (Constraint_Sequence::const_iterator
+ i = nth_iter(input_cs, inherited_constraints),
+ i_end = input_cs.end(); i != i_end; ++i)
+ delete *i;
+}
+
+
+inline void
+MIP_Problem::set_optimization_mode(const Optimization_Mode mode) {
+ if (opt_mode != mode) {
+ opt_mode = mode;
+ if (status == UNBOUNDED || status == OPTIMIZED)
+ status = SATISFIABLE;
+ PPL_ASSERT(OK());
+ }
+}
+
+inline const Linear_Expression&
+MIP_Problem::objective_function() const {
+ return input_obj_function;
+}
+
+inline Optimization_Mode
+MIP_Problem::optimization_mode() const {
+ return opt_mode;
+}
+
+inline void
+MIP_Problem::optimal_value(Coefficient& numer, Coefficient& denom) const {
+ const Generator& g = optimizing_point();
+ evaluate_objective_function(g, numer, denom);
+}
+
+inline MIP_Problem::const_iterator
+MIP_Problem::constraints_begin() const {
+ return const_iterator(input_cs.begin());
+}
+
+inline MIP_Problem::const_iterator
+MIP_Problem::constraints_end() const {
+ return const_iterator(input_cs.end());
+}
+
+inline const Variables_Set&
+MIP_Problem::integer_space_dimensions() const {
+ return i_variables;
+}
+
+inline MIP_Problem::Control_Parameter_Value
+MIP_Problem::get_control_parameter(Control_Parameter_Name name) const {
+ PPL_USED(name);
+ PPL_ASSERT(name == PRICING);
+ return pricing;
+}
+
+inline void
+MIP_Problem::set_control_parameter(Control_Parameter_Value value) {
+ pricing = value;
+}
+
+inline void
+MIP_Problem::m_swap(MIP_Problem& y) {
+ using std::swap;
+ swap(external_space_dim, y.external_space_dim);
+ swap(internal_space_dim, y.internal_space_dim);
+ swap(tableau, y.tableau);
+ swap(working_cost, y.working_cost);
+ swap(mapping, y.mapping);
+ swap(initialized, y.initialized);
+ swap(base, y.base);
+ swap(status, y.status);
+ swap(pricing, y.pricing);
+ swap(input_cs, y.input_cs);
+ swap(inherited_constraints, y.inherited_constraints);
+ swap(first_pending_constraint, y.first_pending_constraint);
+ swap(input_obj_function, y.input_obj_function);
+ swap(opt_mode, y.opt_mode);
+ swap(last_generator, y.last_generator);
+ swap(i_variables, y.i_variables);
+}
+
+inline MIP_Problem&
+MIP_Problem::operator=(const MIP_Problem& y) {
+ MIP_Problem tmp(y);
+ m_swap(tmp);
+ return *this;
+}
+
+inline void
+MIP_Problem::clear() {
+ MIP_Problem tmp;
+ m_swap(tmp);
+}
+
+
+inline memory_size_type
+MIP_Problem::external_memory_in_bytes() const {
+ memory_size_type n
+ = working_cost.external_memory_in_bytes()
+ + tableau.external_memory_in_bytes()
+ + input_obj_function.external_memory_in_bytes()
+ + last_generator.external_memory_in_bytes();
+
+ // Adding the external memory for `input_cs'.
+ // NOTE: disregard inherited constraints, as they are owned by ancestors.
+ n += input_cs.capacity() * sizeof(Constraint*);
+ for (Constraint_Sequence::const_iterator
+ i = nth_iter(input_cs, inherited_constraints),
+ i_end = input_cs.end(); i != i_end; ++i)
+ n += ((*i)->total_memory_in_bytes());
+
+ // Adding the external memory for `base'.
+ n += base.capacity() * sizeof(dimension_type);
+ // Adding the external memory for `mapping'.
+ n += mapping.capacity() * sizeof(std::pair<dimension_type, dimension_type>);
+ return n;
+}
+
+inline memory_size_type
+MIP_Problem::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline
+MIP_Problem::const_iterator::const_iterator(Base base)
+ : itr(base) {
+}
+
+inline MIP_Problem::const_iterator::difference_type
+MIP_Problem::const_iterator::operator-(const const_iterator& y) const {
+ return itr - y.itr;
+}
+
+inline MIP_Problem::const_iterator&
+MIP_Problem::const_iterator::operator++() {
+ ++itr;
+ return *this;
+}
+
+inline MIP_Problem::const_iterator&
+MIP_Problem::const_iterator::operator--() {
+ --itr;
+ return *this;
+}
+
+inline MIP_Problem::const_iterator
+MIP_Problem::const_iterator::operator++(int) {
+ const_iterator x = *this;
+ operator++();
+ return x;
+}
+
+inline MIP_Problem::const_iterator
+MIP_Problem::const_iterator::operator--(int) {
+ const_iterator x = *this;
+ operator--();
+ return x;
+}
+
+inline MIP_Problem::const_iterator
+MIP_Problem::const_iterator::operator+(difference_type n) const {
+ return const_iterator(itr + n);
+}
+
+inline MIP_Problem::const_iterator
+MIP_Problem::const_iterator::operator-(difference_type n) const {
+ return const_iterator(itr - n);
+}
+
+inline MIP_Problem::const_iterator&
+MIP_Problem::const_iterator::operator+=(difference_type n) {
+ itr += n;
+ return *this;
+}
+
+inline MIP_Problem::const_iterator&
+MIP_Problem::const_iterator::operator-=(difference_type n) {
+ itr -= n;
+ return *this;
+}
+
+inline MIP_Problem::const_iterator::reference
+MIP_Problem::const_iterator::operator*() const {
+ return *(*itr);
+}
+
+inline MIP_Problem::const_iterator::pointer
+MIP_Problem::const_iterator::operator->() const {
+ return *itr;
+}
+
+inline bool
+MIP_Problem::const_iterator::operator==(const const_iterator& y) const {
+ return itr == y.itr;
+}
+
+inline bool
+MIP_Problem::const_iterator::operator!=(const const_iterator& y) const {
+ return itr != y.itr;
+}
+
+/*! \relates MIP_Problem */
+inline void
+swap(MIP_Problem& x, MIP_Problem& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_MIP_Problem_inlines_hh)
diff --git a/src/MIP_Problem_templates.hh b/src/MIP_Problem_templates.hh
new file mode 100644
index 0000000..123d2bc
--- /dev/null
+++ b/src/MIP_Problem_templates.hh
@@ -0,0 +1,181 @@
+/* MIP_Problem class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_MIP_Problem_templates_hh
+#define PPL_MIP_Problem_templates_hh 1
+
+#include "Variables_Set_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename In>
+MIP_Problem::MIP_Problem(const dimension_type dim,
+ In first, In last,
+ const Variables_Set& int_vars,
+ const Linear_Expression& obj,
+ const Optimization_Mode mode)
+ : external_space_dim(dim),
+ internal_space_dim(0),
+ tableau(),
+ working_cost(0),
+ mapping(),
+ base(),
+ status(PARTIALLY_SATISFIABLE),
+ pricing(PRICING_STEEPEST_EDGE_FLOAT),
+ initialized(false),
+ input_cs(),
+ inherited_constraints(0),
+ first_pending_constraint(0),
+ input_obj_function(obj),
+ opt_mode(mode),
+ last_generator(point()),
+ i_variables(int_vars) {
+ // Check that integer Variables_Set does not exceed the space dimension
+ // of the problem.
+ if (i_variables.space_dimension() > external_space_dim) {
+ std::ostringstream s;
+ s << "PPL::MIP_Problem::MIP_Problem"
+ << "(dim, first, last, int_vars, obj, mode):\n"
+ << "dim == "<< external_space_dim << " and int_vars.space_dimension() =="
+ << " " << i_variables.space_dimension() << " are dimension"
+ "incompatible.";
+ throw std::invalid_argument(s.str());
+ }
+
+ // Check for space dimension overflow.
+ if (dim > max_space_dimension())
+ throw std::length_error("PPL::MIP_Problem:: MIP_Problem(dim, first, "
+ "last, int_vars, obj, mode):\n"
+ "dim exceeds the maximum allowed"
+ "space dimension.");
+ // Check the objective function.
+ if (obj.space_dimension() > dim) {
+ std::ostringstream s;
+ s << "PPL::MIP_Problem::MIP_Problem(dim, first, last,"
+ << "int_vars, obj, mode):\n"
+ << "obj.space_dimension() == "<< obj.space_dimension()
+ << " exceeds d == "<< dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+ // Check the constraints.
+ try {
+ for (In i = first; i != last; ++i) {
+ if (i->is_strict_inequality())
+ throw std::invalid_argument("PPL::MIP_Problem::"
+ "MIP_Problem(dim, first, last, int_vars,"
+ "obj, mode):\nrange [first, last) contains"
+ "a strict inequality constraint.");
+ if (i->space_dimension() > dim) {
+ std::ostringstream s;
+ s << "PPL::MIP_Problem::"
+ << "MIP_Problem(dim, first, last, int_vars, obj, mode):\n"
+ << "range [first, last) contains a constraint having space"
+ << "dimension == " << i->space_dimension() << " that exceeds"
+ "this->space_dimension == " << dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+ add_constraint_helper(*i);
+ }
+ } catch (...) {
+ // Delete the allocated constraints, to avoid memory leaks.
+
+ for (Constraint_Sequence::const_iterator
+ i = input_cs.begin(), i_end = input_cs.end(); i != i_end; ++i)
+ delete *i;
+
+ throw;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename In>
+MIP_Problem::MIP_Problem(dimension_type dim,
+ In first, In last,
+ const Linear_Expression& obj,
+ Optimization_Mode mode)
+ : external_space_dim(dim),
+ internal_space_dim(0),
+ tableau(),
+ working_cost(0),
+ mapping(),
+ base(),
+ status(PARTIALLY_SATISFIABLE),
+ pricing(PRICING_STEEPEST_EDGE_FLOAT),
+ initialized(false),
+ input_cs(),
+ inherited_constraints(0),
+ first_pending_constraint(0),
+ input_obj_function(obj),
+ opt_mode(mode),
+ last_generator(point()),
+ i_variables() {
+ // Check for space dimension overflow.
+ if (dim > max_space_dimension())
+ throw std::length_error("PPL::MIP_Problem::"
+ "MIP_Problem(dim, first, last, obj, mode):\n"
+ "dim exceeds the maximum allowed space "
+ "dimension.");
+ // Check the objective function.
+ if (obj.space_dimension() > dim) {
+ std::ostringstream s;
+ s << "PPL::MIP_Problem::MIP_Problem(dim, first, last,"
+ << " obj, mode):\n"
+ << "obj.space_dimension() == "<< obj.space_dimension()
+ << " exceeds d == "<< dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+ // Check the constraints.
+ try {
+ for (In i = first; i != last; ++i) {
+ if (i->is_strict_inequality())
+ throw std::invalid_argument("PPL::MIP_Problem::"
+ "MIP_Problem(dim, first, last, obj, mode):"
+ "\n"
+ "range [first, last) contains a strict "
+ "inequality constraint.");
+ if (i->space_dimension() > dim) {
+ std::ostringstream s;
+ s << "PPL::MIP_Problem::"
+ << "MIP_Problem(dim, first, last, obj, mode):\n"
+ << "range [first, last) contains a constraint having space"
+ << "dimension" << " == " << i->space_dimension() << " that exceeds"
+ "this->space_dimension == " << dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+ add_constraint_helper(*i);
+ }
+ } catch (...) {
+ // Delete the allocated constraints, to avoid memory leaks.
+
+ for (Constraint_Sequence::const_iterator
+ i = input_cs.begin(), i_end = input_cs.end(); i != i_end; ++i)
+ delete *i;
+
+ throw;
+ }
+ PPL_ASSERT(OK());
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_MIP_Problem_templates_hh)
diff --git a/src/MIP_Problem_types.hh b/src/MIP_Problem_types.hh
new file mode 100644
index 0000000..0ec632f
--- /dev/null
+++ b/src/MIP_Problem_types.hh
@@ -0,0 +1,33 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_MIP_Problem_types_hh
+#define PPL_MIP_Problem_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+//! Possible outcomes of the MIP_Problem solver.
+/*! \ingroup PPL_CXX_interface */
+enum MIP_Problem_Status {
+ //! The problem is unfeasible.
+ UNFEASIBLE_MIP_PROBLEM,
+ //! The problem is unbounded.
+ UNBOUNDED_MIP_PROBLEM,
+ //! The problem has an optimal solution.
+ OPTIMIZED_MIP_PROBLEM
+};
+
+class MIP_Problem;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_MIP_Problem_types_hh)
diff --git a/src/Makefile.am b/src/Makefile.am
index 8a73add..8cd12b7 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -59,8 +59,9 @@
# 0.12 10:0:0
# 0.12.1 11:0:0
# 1.0 12:0:0
+# 1.1 13:0:0
-LIBPPL_LT_CURRENT = 12
+LIBPPL_LT_CURRENT = 13
LIBPPL_LT_REVISION = 0
LIBPPL_LT_AGE = 0
@@ -108,11 +109,11 @@ endif USE_CHECKED_INTEGERS
if USE_GMP_INTEGERS
COEFFICIENT_TYPES_INCLUDE_FILES = \
- GMP_Integer.types.hh
+ GMP_Integer_types.hh
COEFFICIENT_DEFS_INCLUDE_FILES = \
- GMP_Integer.defs.hh \
- GMP_Integer.inlines.hh
+ GMP_Integer_defs.hh \
+ GMP_Integer_inlines.hh
endif USE_GMP_INTEGERS
@@ -125,352 +126,355 @@ meta_programming.hh \
Slow_Copy.hh \
Has_Assign_Or_Swap.hh \
assign_or_swap.hh \
-mp_std_bits.defs.hh \
-mp_std_bits.inlines.hh \
-Concrete_Expression.types.hh \
-Concrete_Expression.defs.hh \
-Concrete_Expression.inlines.hh \
-Temp.defs.hh \
-Temp.inlines.hh \
-Temp.templates.hh \
+mp_std_bits_defs.hh \
+mp_std_bits_inlines.hh \
+Concrete_Expression_types.hh \
+Concrete_Expression_defs.hh \
+Concrete_Expression_inlines.hh \
+Temp_defs.hh \
+Temp_inlines.hh \
+Temp_templates.hh \
Coefficient_traits_template.hh \
-Checked_Number.types.hh \
-termination.types.hh \
+Checked_Number_types.hh \
+termination_types.hh \
$(COEFFICIENT_TYPES_INCLUDE_FILES) \
-Coefficient.types.hh \
-stdiobuf.types.hh \
-c_streambuf.types.hh \
-globals.types.hh \
-iterator_to_const.types.hh \
-distances.types.hh \
-Interval_Info.types.hh \
-Interval.types.hh \
-Box.types.hh \
-Constraint.types.hh \
-Generator.types.hh \
-Grid_Generator.types.hh \
-Congruence.types.hh \
-Init.types.hh \
-Dense_Row.types.hh \
-CO_Tree.types.hh \
-Sparse_Row.types.hh \
-Matrix.types.hh \
-Swapping_Vector.types.hh \
-Variable.types.hh \
-Variables_Set.types.hh \
-Linear_Expression.types.hh \
-Expression_Hide_Last.types.hh \
-Expression_Hide_Inhomo.types.hh \
-Linear_Expression_Impl.types.hh \
-Linear_Expression_Interface.types.hh \
-Linear_System.types.hh \
-Linear_Form.types.hh \
-Bit_Row.types.hh \
-Bit_Matrix.types.hh \
-Constraint_System.types.hh \
-Generator_System.types.hh \
-Grid_Generator_System.types.hh \
-Congruence_System.types.hh \
-Scalar_Products.types.hh \
-PIP_Tree.types.hh \
-PIP_Problem.types.hh \
-Poly_Con_Relation.types.hh \
-Poly_Gen_Relation.types.hh \
-BHRZ03_Certificate.types.hh \
-H79_Certificate.types.hh \
-Grid_Certificate.types.hh \
-Partial_Function.types.hh \
-Polyhedron.types.hh \
-C_Polyhedron.types.hh \
-NNC_Polyhedron.types.hh \
-Grid.types.hh \
-Ptr_Iterator.types.hh \
-DB_Row.types.hh \
-DB_Matrix.types.hh \
-BD_Shape.types.hh \
-OR_Matrix.types.hh \
-Octagonal_Shape.types.hh \
-fpu.types.hh \
-Float.defs.hh \
-Float.inlines.hh \
-Float.templates.hh \
+Coefficient_types.hh \
+stdiobuf_types.hh \
+c_streambuf_types.hh \
+globals_types.hh \
+iterator_to_const_types.hh \
+distances_types.hh \
+Interval_Info_types.hh \
+Interval_types.hh \
+Box_types.hh \
+Constraint_types.hh \
+Generator_types.hh \
+Grid_Generator_types.hh \
+Congruence_types.hh \
+Init_types.hh \
+Dense_Row_types.hh \
+CO_Tree_types.hh \
+Sparse_Row_types.hh \
+Matrix_types.hh \
+Swapping_Vector_types.hh \
+Variable_types.hh \
+Variables_Set_types.hh \
+Linear_Expression_types.hh \
+Expression_Adapter_types.hh \
+Expression_Hide_Last_types.hh \
+Expression_Hide_Inhomo_types.hh \
+Linear_Expression_Impl_types.hh \
+Linear_Expression_Interface_types.hh \
+Linear_System_types.hh \
+Linear_Form_types.hh \
+Bit_Row_types.hh \
+Bit_Matrix_types.hh \
+Constraint_System_types.hh \
+Generator_System_types.hh \
+Grid_Generator_System_types.hh \
+Congruence_System_types.hh \
+Scalar_Products_types.hh \
+PIP_Tree_types.hh \
+PIP_Problem_types.hh \
+Poly_Con_Relation_types.hh \
+Poly_Gen_Relation_types.hh \
+BHRZ03_Certificate_types.hh \
+H79_Certificate_types.hh \
+Grid_Certificate_types.hh \
+Partial_Function_types.hh \
+Polyhedron_types.hh \
+C_Polyhedron_types.hh \
+NNC_Polyhedron_types.hh \
+Grid_types.hh \
+Ptr_Iterator_types.hh \
+DB_Row_types.hh \
+DB_Matrix_types.hh \
+BD_Shape_types.hh \
+OR_Matrix_types.hh \
+Octagonal_Shape_types.hh \
+fpu_types.hh \
+Float_defs.hh \
+Float_inlines.hh \
+Float_templates.hh \
C_Integer.hh \
-fpu.defs.hh \
-fpu-c99.inlines.hh \
-fpu-ia32.inlines.hh \
-fpu-none.inlines.hh \
-fpu-sparc.inlines.hh \
-Rounding_Dir.defs.hh \
-Rounding_Dir.inlines.hh \
-Result.defs.hh \
-Result.inlines.hh \
-Numeric_Format.defs.hh \
-checked.defs.hh \
-checked.inlines.hh \
-checked_int.inlines.hh \
-checked_float.inlines.hh \
-checked_mpz.inlines.hh \
-checked_mpq.inlines.hh \
-checked_ext.inlines.hh \
-Checked_Number.defs.hh \
-Checked_Number.inlines.hh \
-Checked_Number.templates.hh \
-WRD_coefficient_types.defs.hh \
-WRD_coefficient_types.inlines.hh \
+fpu_defs.hh \
+fpu-c99_inlines.hh \
+fpu-ia32_inlines.hh \
+fpu-none_inlines.hh \
+fpu-sparc_inlines.hh \
+Rounding_Dir_defs.hh \
+Rounding_Dir_inlines.hh \
+Result_defs.hh \
+Result_inlines.hh \
+Numeric_Format_defs.hh \
+checked_defs.hh \
+checked_inlines.hh \
+checked_int_inlines.hh \
+checked_float_inlines.hh \
+checked_mpz_inlines.hh \
+checked_mpq_inlines.hh \
+checked_ext_inlines.hh \
+Checked_Number_defs.hh \
+Checked_Number_inlines.hh \
+Checked_Number_templates.hh \
+WRD_coefficient_types_defs.hh \
+WRD_coefficient_types_inlines.hh \
checked_numeric_limits.hh \
$(COEFFICIENT_DEFS_INCLUDE_FILES) \
-Coefficient.defs.hh \
-Coefficient.inlines.hh \
-stdiobuf.defs.hh \
-stdiobuf.inlines.hh \
-c_streambuf.defs.hh \
-c_streambuf.inlines.hh \
-globals.defs.hh \
-globals.inlines.hh \
-math_utilities.defs.hh \
-math_utilities.inlines.hh \
-iterator_to_const.defs.hh \
-iterator_to_const.inlines.hh \
-distances.defs.hh \
-distances.inlines.hh \
-Boundary.defs.hh \
-intervals.defs.hh \
-Interval_Info.defs.hh \
-Interval_Info.inlines.hh \
-Interval.defs.hh \
-Interval.inlines.hh \
-Interval.templates.hh \
-Box.defs.hh \
-Box_Status.inlines.hh \
-Box.inlines.hh \
-Box.templates.hh \
+Coefficient_defs.hh \
+Coefficient_inlines.hh \
+stdiobuf_defs.hh \
+stdiobuf_inlines.hh \
+c_streambuf_defs.hh \
+c_streambuf_inlines.hh \
+globals_defs.hh \
+globals_inlines.hh \
+math_utilities_defs.hh \
+math_utilities_inlines.hh \
+iterator_to_const_defs.hh \
+iterator_to_const_inlines.hh \
+distances_defs.hh \
+distances_inlines.hh \
+Boundary_defs.hh \
+intervals_defs.hh \
+Interval_Info_defs.hh \
+Interval_Info_inlines.hh \
+Interval_defs.hh \
+Interval_inlines.hh \
+Interval_templates.hh \
+Box_defs.hh \
+Box_Status_inlines.hh \
+Box_inlines.hh \
+Box_templates.hh \
Integer_Interval.hh \
Rational_Interval.hh \
Rational_Box.hh \
-Variable.defs.hh \
-Variable.inlines.hh \
-Variables_Set.defs.hh \
-Variables_Set.inlines.hh \
-Init.defs.hh \
-Init.inlines.hh \
+Variable_defs.hh \
+Variable_inlines.hh \
+Variables_Set_defs.hh \
+Variables_Set_inlines.hh \
+Init_defs.hh \
+Init_inlines.hh \
initializer.hh \
-Topology.types.hh \
-Dense_Row.defs.hh \
-Dense_Row.inlines.hh \
-Dense_Row.templates.hh \
-CO_Tree.defs.hh \
-CO_Tree.inlines.hh \
-CO_Tree.templates.hh \
-Sparse_Row.defs.hh \
-Sparse_Row.inlines.hh \
-Sparse_Row.templates.hh \
-Bit_Row.defs.hh \
-Bit_Row.inlines.hh \
-Linear_System.defs.hh \
-Linear_System.inlines.hh \
-Linear_System.templates.hh \
-Bit_Matrix.defs.hh \
-Bit_Matrix.inlines.hh \
-Constraint_System.defs.hh \
-Generator_System.defs.hh \
-Grid_Generator_System.defs.hh \
-Congruence_System.defs.hh \
-Linear_Expression.defs.hh \
-Linear_Expression.inlines.hh \
-Expression_Hide_Last.defs.hh \
-Expression_Hide_Last.inlines.hh \
-Expression_Hide_Inhomo.defs.hh \
-Expression_Hide_Inhomo.inlines.hh \
-Linear_Expression_Impl.defs.hh \
-Linear_Expression_Impl.inlines.hh \
-Linear_Expression_Impl.templates.hh \
-Linear_Expression_Interface.defs.hh \
-Linear_Form.defs.hh \
-Linear_Form.inlines.hh \
-Linear_Form.templates.hh \
+Topology_types.hh \
+Dense_Row_defs.hh \
+Dense_Row_inlines.hh \
+Dense_Row_templates.hh \
+CO_Tree_defs.hh \
+CO_Tree_inlines.hh \
+CO_Tree_templates.hh \
+Sparse_Row_defs.hh \
+Sparse_Row_inlines.hh \
+Sparse_Row_templates.hh \
+Bit_Row_defs.hh \
+Bit_Row_inlines.hh \
+Linear_System_defs.hh \
+Linear_System_inlines.hh \
+Linear_System_templates.hh \
+Bit_Matrix_defs.hh \
+Bit_Matrix_inlines.hh \
+Constraint_System_defs.hh \
+Generator_System_defs.hh \
+Grid_Generator_System_defs.hh \
+Congruence_System_defs.hh \
+Linear_Expression_defs.hh \
+Linear_Expression_inlines.hh \
+Expression_Adapter_defs.hh \
+Expression_Adapter_inlines.hh \
+Expression_Hide_Last_defs.hh \
+Expression_Hide_Last_inlines.hh \
+Expression_Hide_Inhomo_defs.hh \
+Expression_Hide_Inhomo_inlines.hh \
+Linear_Expression_Impl_defs.hh \
+Linear_Expression_Impl_inlines.hh \
+Linear_Expression_Impl_templates.hh \
+Linear_Expression_Interface_defs.hh \
+Linear_Form_defs.hh \
+Linear_Form_inlines.hh \
+Linear_Form_templates.hh \
linearize.hh \
-Constraint.defs.hh \
-Constraint.inlines.hh \
-Constraint_System.inlines.hh \
-Generator.defs.hh \
-Generator.inlines.hh \
-Grid_Generator.defs.hh \
-Grid_Generator.inlines.hh \
-Congruence.defs.hh \
-Congruence.inlines.hh \
-Generator_System.inlines.hh \
-Grid_Generator_System.inlines.hh \
-Congruence_System.inlines.hh \
-Scalar_Products.defs.hh \
-Scalar_Products.inlines.hh \
-Matrix.defs.hh \
-Matrix.inlines.hh \
-Matrix.templates.hh \
-Swapping_Vector.defs.hh \
-Swapping_Vector.inlines.hh \
-MIP_Problem.types.hh \
-MIP_Problem.defs.hh \
-MIP_Problem.inlines.hh \
-MIP_Problem.templates.hh \
-PIP_Tree.types.hh \
-PIP_Tree.defs.hh \
-PIP_Tree.inlines.hh \
-PIP_Problem.types.hh \
-PIP_Problem.defs.hh \
-PIP_Problem.inlines.hh \
-PIP_Problem.templates.hh \
-Poly_Con_Relation.defs.hh \
-Poly_Con_Relation.inlines.hh \
-Poly_Gen_Relation.defs.hh \
-Poly_Gen_Relation.inlines.hh \
-BHRZ03_Certificate.defs.hh \
-BHRZ03_Certificate.inlines.hh \
-H79_Certificate.defs.hh \
-H79_Certificate.inlines.hh \
-Grid_Certificate.defs.hh \
-Grid_Certificate.inlines.hh \
-Partial_Function.defs.hh \
-Partial_Function.inlines.hh \
-Polyhedron.defs.hh \
-Ph_Status.inlines.hh \
-Polyhedron.inlines.hh \
-Polyhedron_chdims.templates.hh \
-Polyhedron_conversion.templates.hh \
-Polyhedron_minimize.templates.hh \
-Polyhedron_simplify.templates.hh \
-Polyhedron.templates.hh \
-Grid.defs.hh \
-Grid_Status.inlines.hh \
-Grid.inlines.hh \
-Grid.templates.hh \
-C_Polyhedron.defs.hh \
-C_Polyhedron.inlines.hh \
-NNC_Polyhedron.defs.hh \
-NNC_Polyhedron.inlines.hh \
-Widening_Function.types.hh \
-Widening_Function.defs.hh \
-Widening_Function.inlines.hh \
-Ptr_Iterator.defs.hh \
-Ptr_Iterator.inlines.hh \
-DB_Row.defs.hh \
-DB_Row.inlines.hh \
-DB_Row.templates.hh \
-DB_Matrix.defs.hh \
-DB_Matrix.inlines.hh \
-DB_Matrix.templates.hh \
-BD_Shape.defs.hh \
-BDS_Status.inlines.hh \
-BD_Shape.inlines.hh \
-BD_Shape.templates.hh \
-OR_Matrix.defs.hh \
-OR_Matrix.inlines.hh \
-OR_Matrix.templates.hh \
-Octagonal_Shape.defs.hh \
-Og_Status.inlines.hh \
-Octagonal_Shape.inlines.hh \
-Octagonal_Shape.templates.hh \
-Determinate.types.hh \
-Determinate.defs.hh \
-Determinate.inlines.hh \
-Powerset.types.hh \
-Powerset.defs.hh \
-Powerset.inlines.hh \
-Powerset.templates.hh \
-Pointset_Powerset.types.hh \
-Pointset_Powerset.defs.hh \
-Pointset_Powerset.inlines.hh \
-Pointset_Powerset.templates.hh \
-Partially_Reduced_Product.types.hh \
-Partially_Reduced_Product.defs.hh \
-Partially_Reduced_Product.inlines.hh \
-Partially_Reduced_Product.templates.hh \
-Weight_Profiler.defs.hh \
+Constraint_defs.hh \
+Constraint_inlines.hh \
+Constraint_System_inlines.hh \
+Generator_defs.hh \
+Generator_inlines.hh \
+Grid_Generator_defs.hh \
+Grid_Generator_inlines.hh \
+Congruence_defs.hh \
+Congruence_inlines.hh \
+Generator_System_inlines.hh \
+Grid_Generator_System_inlines.hh \
+Congruence_System_inlines.hh \
+Scalar_Products_defs.hh \
+Scalar_Products_inlines.hh \
+Matrix_defs.hh \
+Matrix_inlines.hh \
+Matrix_templates.hh \
+Swapping_Vector_defs.hh \
+Swapping_Vector_inlines.hh \
+MIP_Problem_types.hh \
+MIP_Problem_defs.hh \
+MIP_Problem_inlines.hh \
+MIP_Problem_templates.hh \
+PIP_Tree_types.hh \
+PIP_Tree_defs.hh \
+PIP_Tree_inlines.hh \
+PIP_Problem_types.hh \
+PIP_Problem_defs.hh \
+PIP_Problem_inlines.hh \
+PIP_Problem_templates.hh \
+Poly_Con_Relation_defs.hh \
+Poly_Con_Relation_inlines.hh \
+Poly_Gen_Relation_defs.hh \
+Poly_Gen_Relation_inlines.hh \
+BHRZ03_Certificate_defs.hh \
+BHRZ03_Certificate_inlines.hh \
+H79_Certificate_defs.hh \
+H79_Certificate_inlines.hh \
+Grid_Certificate_defs.hh \
+Grid_Certificate_inlines.hh \
+Partial_Function_defs.hh \
+Partial_Function_inlines.hh \
+Polyhedron_defs.hh \
+Ph_Status_inlines.hh \
+Polyhedron_inlines.hh \
+Polyhedron_chdims_templates.hh \
+Polyhedron_conversion_templates.hh \
+Polyhedron_minimize_templates.hh \
+Polyhedron_simplify_templates.hh \
+Polyhedron_templates.hh \
+Grid_defs.hh \
+Grid_Status_inlines.hh \
+Grid_inlines.hh \
+Grid_templates.hh \
+C_Polyhedron_defs.hh \
+C_Polyhedron_inlines.hh \
+NNC_Polyhedron_defs.hh \
+NNC_Polyhedron_inlines.hh \
+Widening_Function_types.hh \
+Widening_Function_defs.hh \
+Widening_Function_inlines.hh \
+Ptr_Iterator_defs.hh \
+Ptr_Iterator_inlines.hh \
+DB_Row_defs.hh \
+DB_Row_inlines.hh \
+DB_Row_templates.hh \
+DB_Matrix_defs.hh \
+DB_Matrix_inlines.hh \
+DB_Matrix_templates.hh \
+BD_Shape_defs.hh \
+BDS_Status_inlines.hh \
+BD_Shape_inlines.hh \
+BD_Shape_templates.hh \
+OR_Matrix_defs.hh \
+OR_Matrix_inlines.hh \
+OR_Matrix_templates.hh \
+Octagonal_Shape_defs.hh \
+Og_Status_inlines.hh \
+Octagonal_Shape_inlines.hh \
+Octagonal_Shape_templates.hh \
+Determinate_types.hh \
+Determinate_defs.hh \
+Determinate_inlines.hh \
+Powerset_types.hh \
+Powerset_defs.hh \
+Powerset_inlines.hh \
+Powerset_templates.hh \
+Pointset_Powerset_types.hh \
+Pointset_Powerset_defs.hh \
+Pointset_Powerset_inlines.hh \
+Pointset_Powerset_templates.hh \
+Partially_Reduced_Product_types.hh \
+Partially_Reduced_Product_defs.hh \
+Partially_Reduced_Product_inlines.hh \
+Partially_Reduced_Product_templates.hh \
+Weight_Profiler_defs.hh \
max_space_dimension.hh \
algorithms.hh \
-termination.defs.hh \
-termination.templates.hh \
+termination_defs.hh \
+termination_templates.hh \
wrap_assign.hh \
wrap_string.hh \
-Floating_Point_Expression.types.hh \
-Floating_Point_Expression.defs.hh \
-Floating_Point_Expression.inlines.hh \
-Floating_Point_Expression.templates.hh \
-Cast_Floating_Point_Expression.types.hh \
-Cast_Floating_Point_Expression.defs.hh \
-Cast_Floating_Point_Expression.inlines.hh \
-Cast_Floating_Point_Expression.templates.hh \
-Constant_Floating_Point_Expression.types.hh \
-Constant_Floating_Point_Expression.defs.hh \
-Constant_Floating_Point_Expression.inlines.hh \
-Variable_Floating_Point_Expression.types.hh \
-Variable_Floating_Point_Expression.defs.hh \
-Variable_Floating_Point_Expression.inlines.hh \
-Sum_Floating_Point_Expression.types.hh \
-Sum_Floating_Point_Expression.defs.hh \
-Sum_Floating_Point_Expression.inlines.hh \
-Sum_Floating_Point_Expression.templates.hh \
-Difference_Floating_Point_Expression.types.hh \
-Difference_Floating_Point_Expression.defs.hh \
-Difference_Floating_Point_Expression.inlines.hh \
-Difference_Floating_Point_Expression.templates.hh \
-Multiplication_Floating_Point_Expression.types.hh \
-Multiplication_Floating_Point_Expression.defs.hh \
-Multiplication_Floating_Point_Expression.inlines.hh \
-Multiplication_Floating_Point_Expression.templates.hh \
-Division_Floating_Point_Expression.types.hh \
-Division_Floating_Point_Expression.defs.hh \
-Division_Floating_Point_Expression.inlines.hh \
-Division_Floating_Point_Expression.templates.hh \
-Opposite_Floating_Point_Expression.types.hh \
-Opposite_Floating_Point_Expression.defs.hh \
-Opposite_Floating_Point_Expression.inlines.hh \
-Doubly_Linked_Object.types.hh \
-EList.types.hh \
-EList_Iterator.types.hh \
-Handler.types.hh \
-Pending_Element.types.hh \
-Pending_List.types.hh \
-Time.types.hh \
-Watchdog.types.hh \
-Threshold_Watcher.types.hh \
-Handler.defs.hh \
-Handler.inlines.hh \
-Time.defs.hh \
-Time.inlines.hh \
-Doubly_Linked_Object.defs.hh \
-Doubly_Linked_Object.inlines.hh \
-EList_Iterator.defs.hh \
-EList_Iterator.inlines.hh \
-EList.defs.hh \
-EList.inlines.hh \
-Pending_Element.defs.hh \
-Pending_Element.inlines.hh \
-Pending_List.defs.hh \
-Pending_List.inlines.hh \
-Pending_List.templates.hh \
-Watchdog.defs.hh \
-Watchdog.inlines.hh \
-Threshold_Watcher.defs.hh \
-Threshold_Watcher.inlines.hh \
-Threshold_Watcher.templates.hh
-#Any_Pointset.types.hh \
-#Any_Pointset.defs.hh \
-#Any_Pointset.inlines.hh \
-#Ask_Tell.types.hh \
-#Ask_Tell.defs.hh \
-#Ask_Tell.inlines.hh \
-#Ask_Tell.templates.hh \
-#Pointset_Ask_Tell.types.hh \
-#Pointset_Ask_Tell.defs.hh \
-#Pointset_Ask_Tell.inlines.hh \
-#Pointset_Ask_Tell.templates.hh
+Floating_Point_Expression_types.hh \
+Floating_Point_Expression_defs.hh \
+Floating_Point_Expression_inlines.hh \
+Floating_Point_Expression_templates.hh \
+Cast_Floating_Point_Expression_types.hh \
+Cast_Floating_Point_Expression_defs.hh \
+Cast_Floating_Point_Expression_inlines.hh \
+Cast_Floating_Point_Expression_templates.hh \
+Constant_Floating_Point_Expression_types.hh \
+Constant_Floating_Point_Expression_defs.hh \
+Constant_Floating_Point_Expression_inlines.hh \
+Variable_Floating_Point_Expression_types.hh \
+Variable_Floating_Point_Expression_defs.hh \
+Variable_Floating_Point_Expression_inlines.hh \
+Sum_Floating_Point_Expression_types.hh \
+Sum_Floating_Point_Expression_defs.hh \
+Sum_Floating_Point_Expression_inlines.hh \
+Sum_Floating_Point_Expression_templates.hh \
+Difference_Floating_Point_Expression_types.hh \
+Difference_Floating_Point_Expression_defs.hh \
+Difference_Floating_Point_Expression_inlines.hh \
+Difference_Floating_Point_Expression_templates.hh \
+Multiplication_Floating_Point_Expression_types.hh \
+Multiplication_Floating_Point_Expression_defs.hh \
+Multiplication_Floating_Point_Expression_inlines.hh \
+Multiplication_Floating_Point_Expression_templates.hh \
+Division_Floating_Point_Expression_types.hh \
+Division_Floating_Point_Expression_defs.hh \
+Division_Floating_Point_Expression_inlines.hh \
+Division_Floating_Point_Expression_templates.hh \
+Opposite_Floating_Point_Expression_types.hh \
+Opposite_Floating_Point_Expression_defs.hh \
+Opposite_Floating_Point_Expression_inlines.hh \
+Doubly_Linked_Object_types.hh \
+EList_types.hh \
+EList_Iterator_types.hh \
+Handler_types.hh \
+Pending_Element_types.hh \
+Pending_List_types.hh \
+Time_types.hh \
+Watchdog_types.hh \
+Threshold_Watcher_types.hh \
+Handler_defs.hh \
+Handler_inlines.hh \
+Time_defs.hh \
+Time_inlines.hh \
+Doubly_Linked_Object_defs.hh \
+Doubly_Linked_Object_inlines.hh \
+EList_Iterator_defs.hh \
+EList_Iterator_inlines.hh \
+EList_defs.hh \
+EList_inlines.hh \
+Pending_Element_defs.hh \
+Pending_Element_inlines.hh \
+Pending_List_defs.hh \
+Pending_List_inlines.hh \
+Pending_List_templates.hh \
+Watchdog_defs.hh \
+Watchdog_inlines.hh \
+Threshold_Watcher_defs.hh \
+Threshold_Watcher_inlines.hh \
+Threshold_Watcher_templates.hh
+#Any_Pointset_types.hh \
+#Any_Pointset_defs.hh \
+#Any_Pointset_inlines.hh \
+#Ask_Tell_types.hh \
+#Ask_Tell_defs.hh \
+#Ask_Tell_inlines.hh \
+#Ask_Tell_templates.hh \
+#Pointset_Ask_Tell_types.hh \
+#Pointset_Ask_Tell_defs.hh \
+#Pointset_Ask_Tell_inlines.hh \
+#Pointset_Ask_Tell_templates.hh
NESTED_INCLUDE_FILES = \
-Ph_Status.idefs.hh \
-Grid_Status.idefs.hh \
-Box_Status.idefs.hh \
-BDS_Status.idefs.hh \
-Og_Status.idefs.hh
+Ph_Status_idefs.hh \
+Grid_Status_idefs.hh \
+Box_Status_idefs.hh \
+BDS_Status_idefs.hh \
+Og_Status_idefs.hh
libppl_la_SOURCES = \
assert.cc \
@@ -536,7 +540,7 @@ Weight_Profiler.cc \
version.cc \
$(INCLUDE_FILES) \
$(NESTED_INCLUDE_FILES) \
-swapping_sort.templates.hh \
+swapping_sort_templates.hh \
termination.cc \
wrap_string.cc \
Time.cc \
@@ -628,28 +632,28 @@ ppl.hh.sed: Makefile
@echo "}" >>$@
ppl.hh: ppl.hh.dist ppl.hh.sed
- $(SED) -f ppl.hh.sed $< >$@
+ $(SED) -f ppl.hh.sed ppl.hh.dist >$@
rm -f ppl.hh.sed
BUGS.hh: BUGS.hh.dist
- cp -f $< $@
+ cp -f BUGS.hh.dist $@
BUGS.cc: BUGS.cc.dist
- cp -f $< $@
+ cp -f BUGS.cc.dist $@
COPYING.hh: COPYING.hh.dist
- cp -f $< $@
+ cp -f COPYING.hh.dist $@
COPYING.cc: COPYING.cc.dist
- cp -f $< $@
+ cp -f COPYING.cc.dist $@
CREDITS.hh: CREDITS.hh.dist
- cp -f $< $@
+ cp -f CREDITS.hh.dist $@
CREDITS.cc: CREDITS.cc.dist
- cp -f $< $@
+ cp -f CREDITS.cc.dist $@
endif !HAVE_PERL
if USE_PRECOMPILED_HEADERS
ppl.hh.gch: ppl.hh
- $(CXXCOMPILE) -xc++-header -o $@ $<
+ $(CXXCOMPILE) -xc++-header -o $@ ppl.hh
PRECOMPILED = ppl.hh.gch
diff --git a/src/Makefile.in b/src/Makefile.in
index 4882274..c9e1194 100644
--- a/src/Makefile.in
+++ b/src/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -76,10 +75,28 @@
# 0.12 10:0:0
# 0.12.1 11:0:0
# 1.0 12:0:0
+# 1.1 13:0:0
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -102,7 +119,8 @@ bin_PROGRAMS = ppl-config$(EXEEXT)
subdir = src
DIST_COMMON = $(am__include_HEADERS_DIST) $(am__noinst_HEADERS_DIST) \
$(srcdir)/Makefile.am $(srcdir)/Makefile.in \
- $(srcdir)/ppl-config.cc.in $(srcdir)/version.hh.in
+ $(srcdir)/ppl-config.cc.in $(srcdir)/version.hh.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -187,171 +205,173 @@ am__libppl_la_SOURCES_DIST = assert.cc Box.cc checked.cc \
Grid_simplify.cc stdiobuf.cc c_streambuf.cc globals.cc \
mp_std_bits.cc Weight_Profiler.cc version.cc namespaces.hh \
compiler.hh assert.hh meta_programming.hh Slow_Copy.hh \
- Has_Assign_Or_Swap.hh assign_or_swap.hh mp_std_bits.defs.hh \
- mp_std_bits.inlines.hh Concrete_Expression.types.hh \
- Concrete_Expression.defs.hh Concrete_Expression.inlines.hh \
- Temp.defs.hh Temp.inlines.hh Temp.templates.hh \
- Coefficient_traits_template.hh Checked_Number.types.hh \
- termination.types.hh GMP_Integer.types.hh Coefficient.types.hh \
- stdiobuf.types.hh c_streambuf.types.hh globals.types.hh \
- iterator_to_const.types.hh distances.types.hh \
- Interval_Info.types.hh Interval.types.hh Box.types.hh \
- Constraint.types.hh Generator.types.hh Grid_Generator.types.hh \
- Congruence.types.hh Init.types.hh Dense_Row.types.hh \
- CO_Tree.types.hh Sparse_Row.types.hh Matrix.types.hh \
- Swapping_Vector.types.hh Variable.types.hh \
- Variables_Set.types.hh Linear_Expression.types.hh \
- Expression_Hide_Last.types.hh Expression_Hide_Inhomo.types.hh \
- Linear_Expression_Impl.types.hh \
- Linear_Expression_Interface.types.hh Linear_System.types.hh \
- Linear_Form.types.hh Bit_Row.types.hh Bit_Matrix.types.hh \
- Constraint_System.types.hh Generator_System.types.hh \
- Grid_Generator_System.types.hh Congruence_System.types.hh \
- Scalar_Products.types.hh PIP_Tree.types.hh \
- PIP_Problem.types.hh Poly_Con_Relation.types.hh \
- Poly_Gen_Relation.types.hh BHRZ03_Certificate.types.hh \
- H79_Certificate.types.hh Grid_Certificate.types.hh \
- Partial_Function.types.hh Polyhedron.types.hh \
- C_Polyhedron.types.hh NNC_Polyhedron.types.hh Grid.types.hh \
- Ptr_Iterator.types.hh DB_Row.types.hh DB_Matrix.types.hh \
- BD_Shape.types.hh OR_Matrix.types.hh Octagonal_Shape.types.hh \
- fpu.types.hh Float.defs.hh Float.inlines.hh Float.templates.hh \
- C_Integer.hh fpu.defs.hh fpu-c99.inlines.hh \
- fpu-ia32.inlines.hh fpu-none.inlines.hh fpu-sparc.inlines.hh \
- Rounding_Dir.defs.hh Rounding_Dir.inlines.hh Result.defs.hh \
- Result.inlines.hh Numeric_Format.defs.hh checked.defs.hh \
- checked.inlines.hh checked_int.inlines.hh \
- checked_float.inlines.hh checked_mpz.inlines.hh \
- checked_mpq.inlines.hh checked_ext.inlines.hh \
- Checked_Number.defs.hh Checked_Number.inlines.hh \
- Checked_Number.templates.hh WRD_coefficient_types.defs.hh \
- WRD_coefficient_types.inlines.hh checked_numeric_limits.hh \
- GMP_Integer.defs.hh GMP_Integer.inlines.hh Coefficient.defs.hh \
- Coefficient.inlines.hh stdiobuf.defs.hh stdiobuf.inlines.hh \
- c_streambuf.defs.hh c_streambuf.inlines.hh globals.defs.hh \
- globals.inlines.hh math_utilities.defs.hh \
- math_utilities.inlines.hh iterator_to_const.defs.hh \
- iterator_to_const.inlines.hh distances.defs.hh \
- distances.inlines.hh Boundary.defs.hh intervals.defs.hh \
- Interval_Info.defs.hh Interval_Info.inlines.hh \
- Interval.defs.hh Interval.inlines.hh Interval.templates.hh \
- Box.defs.hh Box_Status.inlines.hh Box.inlines.hh \
- Box.templates.hh Integer_Interval.hh Rational_Interval.hh \
- Rational_Box.hh Variable.defs.hh Variable.inlines.hh \
- Variables_Set.defs.hh Variables_Set.inlines.hh Init.defs.hh \
- Init.inlines.hh initializer.hh Topology.types.hh \
- Dense_Row.defs.hh Dense_Row.inlines.hh Dense_Row.templates.hh \
- CO_Tree.defs.hh CO_Tree.inlines.hh CO_Tree.templates.hh \
- Sparse_Row.defs.hh Sparse_Row.inlines.hh \
- Sparse_Row.templates.hh Bit_Row.defs.hh Bit_Row.inlines.hh \
- Linear_System.defs.hh Linear_System.inlines.hh \
- Linear_System.templates.hh Bit_Matrix.defs.hh \
- Bit_Matrix.inlines.hh Constraint_System.defs.hh \
- Generator_System.defs.hh Grid_Generator_System.defs.hh \
- Congruence_System.defs.hh Linear_Expression.defs.hh \
- Linear_Expression.inlines.hh Expression_Hide_Last.defs.hh \
- Expression_Hide_Last.inlines.hh Expression_Hide_Inhomo.defs.hh \
- Expression_Hide_Inhomo.inlines.hh \
- Linear_Expression_Impl.defs.hh \
- Linear_Expression_Impl.inlines.hh \
- Linear_Expression_Impl.templates.hh \
- Linear_Expression_Interface.defs.hh Linear_Form.defs.hh \
- Linear_Form.inlines.hh Linear_Form.templates.hh linearize.hh \
- Constraint.defs.hh Constraint.inlines.hh \
- Constraint_System.inlines.hh Generator.defs.hh \
- Generator.inlines.hh Grid_Generator.defs.hh \
- Grid_Generator.inlines.hh Congruence.defs.hh \
- Congruence.inlines.hh Generator_System.inlines.hh \
- Grid_Generator_System.inlines.hh Congruence_System.inlines.hh \
- Scalar_Products.defs.hh Scalar_Products.inlines.hh \
- Matrix.defs.hh Matrix.inlines.hh Matrix.templates.hh \
- Swapping_Vector.defs.hh Swapping_Vector.inlines.hh \
- MIP_Problem.types.hh MIP_Problem.defs.hh \
- MIP_Problem.inlines.hh MIP_Problem.templates.hh \
- PIP_Tree.defs.hh PIP_Tree.inlines.hh PIP_Problem.defs.hh \
- PIP_Problem.inlines.hh PIP_Problem.templates.hh \
- Poly_Con_Relation.defs.hh Poly_Con_Relation.inlines.hh \
- Poly_Gen_Relation.defs.hh Poly_Gen_Relation.inlines.hh \
- BHRZ03_Certificate.defs.hh BHRZ03_Certificate.inlines.hh \
- H79_Certificate.defs.hh H79_Certificate.inlines.hh \
- Grid_Certificate.defs.hh Grid_Certificate.inlines.hh \
- Partial_Function.defs.hh Partial_Function.inlines.hh \
- Polyhedron.defs.hh Ph_Status.inlines.hh Polyhedron.inlines.hh \
- Polyhedron_chdims.templates.hh \
- Polyhedron_conversion.templates.hh \
- Polyhedron_minimize.templates.hh \
- Polyhedron_simplify.templates.hh Polyhedron.templates.hh \
- Grid.defs.hh Grid_Status.inlines.hh Grid.inlines.hh \
- Grid.templates.hh C_Polyhedron.defs.hh C_Polyhedron.inlines.hh \
- NNC_Polyhedron.defs.hh NNC_Polyhedron.inlines.hh \
- Widening_Function.types.hh Widening_Function.defs.hh \
- Widening_Function.inlines.hh Ptr_Iterator.defs.hh \
- Ptr_Iterator.inlines.hh DB_Row.defs.hh DB_Row.inlines.hh \
- DB_Row.templates.hh DB_Matrix.defs.hh DB_Matrix.inlines.hh \
- DB_Matrix.templates.hh BD_Shape.defs.hh BDS_Status.inlines.hh \
- BD_Shape.inlines.hh BD_Shape.templates.hh OR_Matrix.defs.hh \
- OR_Matrix.inlines.hh OR_Matrix.templates.hh \
- Octagonal_Shape.defs.hh Og_Status.inlines.hh \
- Octagonal_Shape.inlines.hh Octagonal_Shape.templates.hh \
- Determinate.types.hh Determinate.defs.hh \
- Determinate.inlines.hh Powerset.types.hh Powerset.defs.hh \
- Powerset.inlines.hh Powerset.templates.hh \
- Pointset_Powerset.types.hh Pointset_Powerset.defs.hh \
- Pointset_Powerset.inlines.hh Pointset_Powerset.templates.hh \
- Partially_Reduced_Product.types.hh \
- Partially_Reduced_Product.defs.hh \
- Partially_Reduced_Product.inlines.hh \
- Partially_Reduced_Product.templates.hh Weight_Profiler.defs.hh \
- max_space_dimension.hh algorithms.hh termination.defs.hh \
- termination.templates.hh wrap_assign.hh wrap_string.hh \
- Floating_Point_Expression.types.hh \
- Floating_Point_Expression.defs.hh \
- Floating_Point_Expression.inlines.hh \
- Floating_Point_Expression.templates.hh \
- Cast_Floating_Point_Expression.types.hh \
- Cast_Floating_Point_Expression.defs.hh \
- Cast_Floating_Point_Expression.inlines.hh \
- Cast_Floating_Point_Expression.templates.hh \
- Constant_Floating_Point_Expression.types.hh \
- Constant_Floating_Point_Expression.defs.hh \
- Constant_Floating_Point_Expression.inlines.hh \
- Variable_Floating_Point_Expression.types.hh \
- Variable_Floating_Point_Expression.defs.hh \
- Variable_Floating_Point_Expression.inlines.hh \
- Sum_Floating_Point_Expression.types.hh \
- Sum_Floating_Point_Expression.defs.hh \
- Sum_Floating_Point_Expression.inlines.hh \
- Sum_Floating_Point_Expression.templates.hh \
- Difference_Floating_Point_Expression.types.hh \
- Difference_Floating_Point_Expression.defs.hh \
- Difference_Floating_Point_Expression.inlines.hh \
- Difference_Floating_Point_Expression.templates.hh \
- Multiplication_Floating_Point_Expression.types.hh \
- Multiplication_Floating_Point_Expression.defs.hh \
- Multiplication_Floating_Point_Expression.inlines.hh \
- Multiplication_Floating_Point_Expression.templates.hh \
- Division_Floating_Point_Expression.types.hh \
- Division_Floating_Point_Expression.defs.hh \
- Division_Floating_Point_Expression.inlines.hh \
- Division_Floating_Point_Expression.templates.hh \
- Opposite_Floating_Point_Expression.types.hh \
- Opposite_Floating_Point_Expression.defs.hh \
- Opposite_Floating_Point_Expression.inlines.hh \
- Doubly_Linked_Object.types.hh EList.types.hh \
- EList_Iterator.types.hh Handler.types.hh \
- Pending_Element.types.hh Pending_List.types.hh Time.types.hh \
- Watchdog.types.hh Threshold_Watcher.types.hh Handler.defs.hh \
- Handler.inlines.hh Time.defs.hh Time.inlines.hh \
- Doubly_Linked_Object.defs.hh Doubly_Linked_Object.inlines.hh \
- EList_Iterator.defs.hh EList_Iterator.inlines.hh EList.defs.hh \
- EList.inlines.hh Pending_Element.defs.hh \
- Pending_Element.inlines.hh Pending_List.defs.hh \
- Pending_List.inlines.hh Pending_List.templates.hh \
- Watchdog.defs.hh Watchdog.inlines.hh Threshold_Watcher.defs.hh \
- Threshold_Watcher.inlines.hh Threshold_Watcher.templates.hh \
- Ph_Status.idefs.hh Grid_Status.idefs.hh Box_Status.idefs.hh \
- BDS_Status.idefs.hh Og_Status.idefs.hh \
- swapping_sort.templates.hh termination.cc wrap_string.cc \
+ Has_Assign_Or_Swap.hh assign_or_swap.hh mp_std_bits_defs.hh \
+ mp_std_bits_inlines.hh Concrete_Expression_types.hh \
+ Concrete_Expression_defs.hh Concrete_Expression_inlines.hh \
+ Temp_defs.hh Temp_inlines.hh Temp_templates.hh \
+ Coefficient_traits_template.hh Checked_Number_types.hh \
+ termination_types.hh GMP_Integer_types.hh Coefficient_types.hh \
+ stdiobuf_types.hh c_streambuf_types.hh globals_types.hh \
+ iterator_to_const_types.hh distances_types.hh \
+ Interval_Info_types.hh Interval_types.hh Box_types.hh \
+ Constraint_types.hh Generator_types.hh Grid_Generator_types.hh \
+ Congruence_types.hh Init_types.hh Dense_Row_types.hh \
+ CO_Tree_types.hh Sparse_Row_types.hh Matrix_types.hh \
+ Swapping_Vector_types.hh Variable_types.hh \
+ Variables_Set_types.hh Linear_Expression_types.hh \
+ Expression_Adapter_types.hh Expression_Hide_Last_types.hh \
+ Expression_Hide_Inhomo_types.hh \
+ Linear_Expression_Impl_types.hh \
+ Linear_Expression_Interface_types.hh Linear_System_types.hh \
+ Linear_Form_types.hh Bit_Row_types.hh Bit_Matrix_types.hh \
+ Constraint_System_types.hh Generator_System_types.hh \
+ Grid_Generator_System_types.hh Congruence_System_types.hh \
+ Scalar_Products_types.hh PIP_Tree_types.hh \
+ PIP_Problem_types.hh Poly_Con_Relation_types.hh \
+ Poly_Gen_Relation_types.hh BHRZ03_Certificate_types.hh \
+ H79_Certificate_types.hh Grid_Certificate_types.hh \
+ Partial_Function_types.hh Polyhedron_types.hh \
+ C_Polyhedron_types.hh NNC_Polyhedron_types.hh Grid_types.hh \
+ Ptr_Iterator_types.hh DB_Row_types.hh DB_Matrix_types.hh \
+ BD_Shape_types.hh OR_Matrix_types.hh Octagonal_Shape_types.hh \
+ fpu_types.hh Float_defs.hh Float_inlines.hh Float_templates.hh \
+ C_Integer.hh fpu_defs.hh fpu-c99_inlines.hh \
+ fpu-ia32_inlines.hh fpu-none_inlines.hh fpu-sparc_inlines.hh \
+ Rounding_Dir_defs.hh Rounding_Dir_inlines.hh Result_defs.hh \
+ Result_inlines.hh Numeric_Format_defs.hh checked_defs.hh \
+ checked_inlines.hh checked_int_inlines.hh \
+ checked_float_inlines.hh checked_mpz_inlines.hh \
+ checked_mpq_inlines.hh checked_ext_inlines.hh \
+ Checked_Number_defs.hh Checked_Number_inlines.hh \
+ Checked_Number_templates.hh WRD_coefficient_types_defs.hh \
+ WRD_coefficient_types_inlines.hh checked_numeric_limits.hh \
+ GMP_Integer_defs.hh GMP_Integer_inlines.hh Coefficient_defs.hh \
+ Coefficient_inlines.hh stdiobuf_defs.hh stdiobuf_inlines.hh \
+ c_streambuf_defs.hh c_streambuf_inlines.hh globals_defs.hh \
+ globals_inlines.hh math_utilities_defs.hh \
+ math_utilities_inlines.hh iterator_to_const_defs.hh \
+ iterator_to_const_inlines.hh distances_defs.hh \
+ distances_inlines.hh Boundary_defs.hh intervals_defs.hh \
+ Interval_Info_defs.hh Interval_Info_inlines.hh \
+ Interval_defs.hh Interval_inlines.hh Interval_templates.hh \
+ Box_defs.hh Box_Status_inlines.hh Box_inlines.hh \
+ Box_templates.hh Integer_Interval.hh Rational_Interval.hh \
+ Rational_Box.hh Variable_defs.hh Variable_inlines.hh \
+ Variables_Set_defs.hh Variables_Set_inlines.hh Init_defs.hh \
+ Init_inlines.hh initializer.hh Topology_types.hh \
+ Dense_Row_defs.hh Dense_Row_inlines.hh Dense_Row_templates.hh \
+ CO_Tree_defs.hh CO_Tree_inlines.hh CO_Tree_templates.hh \
+ Sparse_Row_defs.hh Sparse_Row_inlines.hh \
+ Sparse_Row_templates.hh Bit_Row_defs.hh Bit_Row_inlines.hh \
+ Linear_System_defs.hh Linear_System_inlines.hh \
+ Linear_System_templates.hh Bit_Matrix_defs.hh \
+ Bit_Matrix_inlines.hh Constraint_System_defs.hh \
+ Generator_System_defs.hh Grid_Generator_System_defs.hh \
+ Congruence_System_defs.hh Linear_Expression_defs.hh \
+ Linear_Expression_inlines.hh Expression_Adapter_defs.hh \
+ Expression_Adapter_inlines.hh Expression_Hide_Last_defs.hh \
+ Expression_Hide_Last_inlines.hh Expression_Hide_Inhomo_defs.hh \
+ Expression_Hide_Inhomo_inlines.hh \
+ Linear_Expression_Impl_defs.hh \
+ Linear_Expression_Impl_inlines.hh \
+ Linear_Expression_Impl_templates.hh \
+ Linear_Expression_Interface_defs.hh Linear_Form_defs.hh \
+ Linear_Form_inlines.hh Linear_Form_templates.hh linearize.hh \
+ Constraint_defs.hh Constraint_inlines.hh \
+ Constraint_System_inlines.hh Generator_defs.hh \
+ Generator_inlines.hh Grid_Generator_defs.hh \
+ Grid_Generator_inlines.hh Congruence_defs.hh \
+ Congruence_inlines.hh Generator_System_inlines.hh \
+ Grid_Generator_System_inlines.hh Congruence_System_inlines.hh \
+ Scalar_Products_defs.hh Scalar_Products_inlines.hh \
+ Matrix_defs.hh Matrix_inlines.hh Matrix_templates.hh \
+ Swapping_Vector_defs.hh Swapping_Vector_inlines.hh \
+ MIP_Problem_types.hh MIP_Problem_defs.hh \
+ MIP_Problem_inlines.hh MIP_Problem_templates.hh \
+ PIP_Tree_defs.hh PIP_Tree_inlines.hh PIP_Problem_defs.hh \
+ PIP_Problem_inlines.hh PIP_Problem_templates.hh \
+ Poly_Con_Relation_defs.hh Poly_Con_Relation_inlines.hh \
+ Poly_Gen_Relation_defs.hh Poly_Gen_Relation_inlines.hh \
+ BHRZ03_Certificate_defs.hh BHRZ03_Certificate_inlines.hh \
+ H79_Certificate_defs.hh H79_Certificate_inlines.hh \
+ Grid_Certificate_defs.hh Grid_Certificate_inlines.hh \
+ Partial_Function_defs.hh Partial_Function_inlines.hh \
+ Polyhedron_defs.hh Ph_Status_inlines.hh Polyhedron_inlines.hh \
+ Polyhedron_chdims_templates.hh \
+ Polyhedron_conversion_templates.hh \
+ Polyhedron_minimize_templates.hh \
+ Polyhedron_simplify_templates.hh Polyhedron_templates.hh \
+ Grid_defs.hh Grid_Status_inlines.hh Grid_inlines.hh \
+ Grid_templates.hh C_Polyhedron_defs.hh C_Polyhedron_inlines.hh \
+ NNC_Polyhedron_defs.hh NNC_Polyhedron_inlines.hh \
+ Widening_Function_types.hh Widening_Function_defs.hh \
+ Widening_Function_inlines.hh Ptr_Iterator_defs.hh \
+ Ptr_Iterator_inlines.hh DB_Row_defs.hh DB_Row_inlines.hh \
+ DB_Row_templates.hh DB_Matrix_defs.hh DB_Matrix_inlines.hh \
+ DB_Matrix_templates.hh BD_Shape_defs.hh BDS_Status_inlines.hh \
+ BD_Shape_inlines.hh BD_Shape_templates.hh OR_Matrix_defs.hh \
+ OR_Matrix_inlines.hh OR_Matrix_templates.hh \
+ Octagonal_Shape_defs.hh Og_Status_inlines.hh \
+ Octagonal_Shape_inlines.hh Octagonal_Shape_templates.hh \
+ Determinate_types.hh Determinate_defs.hh \
+ Determinate_inlines.hh Powerset_types.hh Powerset_defs.hh \
+ Powerset_inlines.hh Powerset_templates.hh \
+ Pointset_Powerset_types.hh Pointset_Powerset_defs.hh \
+ Pointset_Powerset_inlines.hh Pointset_Powerset_templates.hh \
+ Partially_Reduced_Product_types.hh \
+ Partially_Reduced_Product_defs.hh \
+ Partially_Reduced_Product_inlines.hh \
+ Partially_Reduced_Product_templates.hh Weight_Profiler_defs.hh \
+ max_space_dimension.hh algorithms.hh termination_defs.hh \
+ termination_templates.hh wrap_assign.hh wrap_string.hh \
+ Floating_Point_Expression_types.hh \
+ Floating_Point_Expression_defs.hh \
+ Floating_Point_Expression_inlines.hh \
+ Floating_Point_Expression_templates.hh \
+ Cast_Floating_Point_Expression_types.hh \
+ Cast_Floating_Point_Expression_defs.hh \
+ Cast_Floating_Point_Expression_inlines.hh \
+ Cast_Floating_Point_Expression_templates.hh \
+ Constant_Floating_Point_Expression_types.hh \
+ Constant_Floating_Point_Expression_defs.hh \
+ Constant_Floating_Point_Expression_inlines.hh \
+ Variable_Floating_Point_Expression_types.hh \
+ Variable_Floating_Point_Expression_defs.hh \
+ Variable_Floating_Point_Expression_inlines.hh \
+ Sum_Floating_Point_Expression_types.hh \
+ Sum_Floating_Point_Expression_defs.hh \
+ Sum_Floating_Point_Expression_inlines.hh \
+ Sum_Floating_Point_Expression_templates.hh \
+ Difference_Floating_Point_Expression_types.hh \
+ Difference_Floating_Point_Expression_defs.hh \
+ Difference_Floating_Point_Expression_inlines.hh \
+ Difference_Floating_Point_Expression_templates.hh \
+ Multiplication_Floating_Point_Expression_types.hh \
+ Multiplication_Floating_Point_Expression_defs.hh \
+ Multiplication_Floating_Point_Expression_inlines.hh \
+ Multiplication_Floating_Point_Expression_templates.hh \
+ Division_Floating_Point_Expression_types.hh \
+ Division_Floating_Point_Expression_defs.hh \
+ Division_Floating_Point_Expression_inlines.hh \
+ Division_Floating_Point_Expression_templates.hh \
+ Opposite_Floating_Point_Expression_types.hh \
+ Opposite_Floating_Point_Expression_defs.hh \
+ Opposite_Floating_Point_Expression_inlines.hh \
+ Doubly_Linked_Object_types.hh EList_types.hh \
+ EList_Iterator_types.hh Handler_types.hh \
+ Pending_Element_types.hh Pending_List_types.hh Time_types.hh \
+ Watchdog_types.hh Threshold_Watcher_types.hh Handler_defs.hh \
+ Handler_inlines.hh Time_defs.hh Time_inlines.hh \
+ Doubly_Linked_Object_defs.hh Doubly_Linked_Object_inlines.hh \
+ EList_Iterator_defs.hh EList_Iterator_inlines.hh EList_defs.hh \
+ EList_inlines.hh Pending_Element_defs.hh \
+ Pending_Element_inlines.hh Pending_List_defs.hh \
+ Pending_List_inlines.hh Pending_List_templates.hh \
+ Watchdog_defs.hh Watchdog_inlines.hh Threshold_Watcher_defs.hh \
+ Threshold_Watcher_inlines.hh Threshold_Watcher_templates.hh \
+ Ph_Status_idefs.hh Grid_Status_idefs.hh Box_Status_idefs.hh \
+ BDS_Status_idefs.hh Og_Status_idefs.hh \
+ swapping_sort_templates.hh termination.cc wrap_string.cc \
Time.cc Watchdog.cc Threshold_Watcher.cc
am__objects_1 =
am__objects_2 = $(am__objects_1) $(am__objects_1)
@@ -380,6 +400,7 @@ libppl_la_OBJECTS = $(am_libppl_la_OBJECTS)
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
libppl_la_LINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(libppl_la_LDFLAGS) $(LDFLAGS) -o $@
@@ -390,6 +411,18 @@ nodist_ppl_config_OBJECTS = ppl-config.$(OBJEXT)
ppl_config_OBJECTS = $(am_ppl_config_OBJECTS) \
$(nodist_ppl_config_OBJECTS)
ppl_config_DEPENDENCIES = libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -402,17 +435,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -421,20 +453,24 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_la_SOURCES) $(ppl_config_SOURCES) \
$(nodist_ppl_config_SOURCES)
DIST_SOURCES = $(am__libppl_la_SOURCES_DIST) $(ppl_config_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
am__include_HEADERS_DIST = ppl.hh
am__noinst_HEADERS_DIST = ppl.hh
HEADERS = $(include_HEADERS) $(nodist_noinst_HEADERS) \
@@ -634,7 +670,7 @@ top_srcdir = @top_srcdir@
uudecode = @uudecode@
xsb_prolog = @xsb_prolog@
yap_prolog = @yap_prolog@
-LIBPPL_LT_CURRENT = 12
+LIBPPL_LT_CURRENT = 13
LIBPPL_LT_REVISION = 0
LIBPPL_LT_AGE = 0
AM_CPPFLAGS = \
@@ -661,13 +697,13 @@ libppl.la
@USE_CHECKED_INTEGERS_TRUE at COEFFICIENT_TYPES_INCLUDE_FILES =
@USE_GMP_INTEGERS_TRUE at COEFFICIENT_TYPES_INCLUDE_FILES = \
- at USE_GMP_INTEGERS_TRUE@ GMP_Integer.types.hh
+ at USE_GMP_INTEGERS_TRUE@ GMP_Integer_types.hh
@USE_NATIVE_INTEGERS_TRUE at COEFFICIENT_TYPES_INCLUDE_FILES =
@USE_CHECKED_INTEGERS_TRUE at COEFFICIENT_DEFS_INCLUDE_FILES =
@USE_GMP_INTEGERS_TRUE at COEFFICIENT_DEFS_INCLUDE_FILES = \
- at USE_GMP_INTEGERS_TRUE@ GMP_Integer.defs.hh \
- at USE_GMP_INTEGERS_TRUE@ GMP_Integer.inlines.hh
+ at USE_GMP_INTEGERS_TRUE@ GMP_Integer_defs.hh \
+ at USE_GMP_INTEGERS_TRUE@ GMP_Integer_inlines.hh
@USE_NATIVE_INTEGERS_TRUE at COEFFICIENT_DEFS_INCLUDE_FILES =
@@ -680,352 +716,355 @@ meta_programming.hh \
Slow_Copy.hh \
Has_Assign_Or_Swap.hh \
assign_or_swap.hh \
-mp_std_bits.defs.hh \
-mp_std_bits.inlines.hh \
-Concrete_Expression.types.hh \
-Concrete_Expression.defs.hh \
-Concrete_Expression.inlines.hh \
-Temp.defs.hh \
-Temp.inlines.hh \
-Temp.templates.hh \
+mp_std_bits_defs.hh \
+mp_std_bits_inlines.hh \
+Concrete_Expression_types.hh \
+Concrete_Expression_defs.hh \
+Concrete_Expression_inlines.hh \
+Temp_defs.hh \
+Temp_inlines.hh \
+Temp_templates.hh \
Coefficient_traits_template.hh \
-Checked_Number.types.hh \
-termination.types.hh \
+Checked_Number_types.hh \
+termination_types.hh \
$(COEFFICIENT_TYPES_INCLUDE_FILES) \
-Coefficient.types.hh \
-stdiobuf.types.hh \
-c_streambuf.types.hh \
-globals.types.hh \
-iterator_to_const.types.hh \
-distances.types.hh \
-Interval_Info.types.hh \
-Interval.types.hh \
-Box.types.hh \
-Constraint.types.hh \
-Generator.types.hh \
-Grid_Generator.types.hh \
-Congruence.types.hh \
-Init.types.hh \
-Dense_Row.types.hh \
-CO_Tree.types.hh \
-Sparse_Row.types.hh \
-Matrix.types.hh \
-Swapping_Vector.types.hh \
-Variable.types.hh \
-Variables_Set.types.hh \
-Linear_Expression.types.hh \
-Expression_Hide_Last.types.hh \
-Expression_Hide_Inhomo.types.hh \
-Linear_Expression_Impl.types.hh \
-Linear_Expression_Interface.types.hh \
-Linear_System.types.hh \
-Linear_Form.types.hh \
-Bit_Row.types.hh \
-Bit_Matrix.types.hh \
-Constraint_System.types.hh \
-Generator_System.types.hh \
-Grid_Generator_System.types.hh \
-Congruence_System.types.hh \
-Scalar_Products.types.hh \
-PIP_Tree.types.hh \
-PIP_Problem.types.hh \
-Poly_Con_Relation.types.hh \
-Poly_Gen_Relation.types.hh \
-BHRZ03_Certificate.types.hh \
-H79_Certificate.types.hh \
-Grid_Certificate.types.hh \
-Partial_Function.types.hh \
-Polyhedron.types.hh \
-C_Polyhedron.types.hh \
-NNC_Polyhedron.types.hh \
-Grid.types.hh \
-Ptr_Iterator.types.hh \
-DB_Row.types.hh \
-DB_Matrix.types.hh \
-BD_Shape.types.hh \
-OR_Matrix.types.hh \
-Octagonal_Shape.types.hh \
-fpu.types.hh \
-Float.defs.hh \
-Float.inlines.hh \
-Float.templates.hh \
+Coefficient_types.hh \
+stdiobuf_types.hh \
+c_streambuf_types.hh \
+globals_types.hh \
+iterator_to_const_types.hh \
+distances_types.hh \
+Interval_Info_types.hh \
+Interval_types.hh \
+Box_types.hh \
+Constraint_types.hh \
+Generator_types.hh \
+Grid_Generator_types.hh \
+Congruence_types.hh \
+Init_types.hh \
+Dense_Row_types.hh \
+CO_Tree_types.hh \
+Sparse_Row_types.hh \
+Matrix_types.hh \
+Swapping_Vector_types.hh \
+Variable_types.hh \
+Variables_Set_types.hh \
+Linear_Expression_types.hh \
+Expression_Adapter_types.hh \
+Expression_Hide_Last_types.hh \
+Expression_Hide_Inhomo_types.hh \
+Linear_Expression_Impl_types.hh \
+Linear_Expression_Interface_types.hh \
+Linear_System_types.hh \
+Linear_Form_types.hh \
+Bit_Row_types.hh \
+Bit_Matrix_types.hh \
+Constraint_System_types.hh \
+Generator_System_types.hh \
+Grid_Generator_System_types.hh \
+Congruence_System_types.hh \
+Scalar_Products_types.hh \
+PIP_Tree_types.hh \
+PIP_Problem_types.hh \
+Poly_Con_Relation_types.hh \
+Poly_Gen_Relation_types.hh \
+BHRZ03_Certificate_types.hh \
+H79_Certificate_types.hh \
+Grid_Certificate_types.hh \
+Partial_Function_types.hh \
+Polyhedron_types.hh \
+C_Polyhedron_types.hh \
+NNC_Polyhedron_types.hh \
+Grid_types.hh \
+Ptr_Iterator_types.hh \
+DB_Row_types.hh \
+DB_Matrix_types.hh \
+BD_Shape_types.hh \
+OR_Matrix_types.hh \
+Octagonal_Shape_types.hh \
+fpu_types.hh \
+Float_defs.hh \
+Float_inlines.hh \
+Float_templates.hh \
C_Integer.hh \
-fpu.defs.hh \
-fpu-c99.inlines.hh \
-fpu-ia32.inlines.hh \
-fpu-none.inlines.hh \
-fpu-sparc.inlines.hh \
-Rounding_Dir.defs.hh \
-Rounding_Dir.inlines.hh \
-Result.defs.hh \
-Result.inlines.hh \
-Numeric_Format.defs.hh \
-checked.defs.hh \
-checked.inlines.hh \
-checked_int.inlines.hh \
-checked_float.inlines.hh \
-checked_mpz.inlines.hh \
-checked_mpq.inlines.hh \
-checked_ext.inlines.hh \
-Checked_Number.defs.hh \
-Checked_Number.inlines.hh \
-Checked_Number.templates.hh \
-WRD_coefficient_types.defs.hh \
-WRD_coefficient_types.inlines.hh \
+fpu_defs.hh \
+fpu-c99_inlines.hh \
+fpu-ia32_inlines.hh \
+fpu-none_inlines.hh \
+fpu-sparc_inlines.hh \
+Rounding_Dir_defs.hh \
+Rounding_Dir_inlines.hh \
+Result_defs.hh \
+Result_inlines.hh \
+Numeric_Format_defs.hh \
+checked_defs.hh \
+checked_inlines.hh \
+checked_int_inlines.hh \
+checked_float_inlines.hh \
+checked_mpz_inlines.hh \
+checked_mpq_inlines.hh \
+checked_ext_inlines.hh \
+Checked_Number_defs.hh \
+Checked_Number_inlines.hh \
+Checked_Number_templates.hh \
+WRD_coefficient_types_defs.hh \
+WRD_coefficient_types_inlines.hh \
checked_numeric_limits.hh \
$(COEFFICIENT_DEFS_INCLUDE_FILES) \
-Coefficient.defs.hh \
-Coefficient.inlines.hh \
-stdiobuf.defs.hh \
-stdiobuf.inlines.hh \
-c_streambuf.defs.hh \
-c_streambuf.inlines.hh \
-globals.defs.hh \
-globals.inlines.hh \
-math_utilities.defs.hh \
-math_utilities.inlines.hh \
-iterator_to_const.defs.hh \
-iterator_to_const.inlines.hh \
-distances.defs.hh \
-distances.inlines.hh \
-Boundary.defs.hh \
-intervals.defs.hh \
-Interval_Info.defs.hh \
-Interval_Info.inlines.hh \
-Interval.defs.hh \
-Interval.inlines.hh \
-Interval.templates.hh \
-Box.defs.hh \
-Box_Status.inlines.hh \
-Box.inlines.hh \
-Box.templates.hh \
+Coefficient_defs.hh \
+Coefficient_inlines.hh \
+stdiobuf_defs.hh \
+stdiobuf_inlines.hh \
+c_streambuf_defs.hh \
+c_streambuf_inlines.hh \
+globals_defs.hh \
+globals_inlines.hh \
+math_utilities_defs.hh \
+math_utilities_inlines.hh \
+iterator_to_const_defs.hh \
+iterator_to_const_inlines.hh \
+distances_defs.hh \
+distances_inlines.hh \
+Boundary_defs.hh \
+intervals_defs.hh \
+Interval_Info_defs.hh \
+Interval_Info_inlines.hh \
+Interval_defs.hh \
+Interval_inlines.hh \
+Interval_templates.hh \
+Box_defs.hh \
+Box_Status_inlines.hh \
+Box_inlines.hh \
+Box_templates.hh \
Integer_Interval.hh \
Rational_Interval.hh \
Rational_Box.hh \
-Variable.defs.hh \
-Variable.inlines.hh \
-Variables_Set.defs.hh \
-Variables_Set.inlines.hh \
-Init.defs.hh \
-Init.inlines.hh \
+Variable_defs.hh \
+Variable_inlines.hh \
+Variables_Set_defs.hh \
+Variables_Set_inlines.hh \
+Init_defs.hh \
+Init_inlines.hh \
initializer.hh \
-Topology.types.hh \
-Dense_Row.defs.hh \
-Dense_Row.inlines.hh \
-Dense_Row.templates.hh \
-CO_Tree.defs.hh \
-CO_Tree.inlines.hh \
-CO_Tree.templates.hh \
-Sparse_Row.defs.hh \
-Sparse_Row.inlines.hh \
-Sparse_Row.templates.hh \
-Bit_Row.defs.hh \
-Bit_Row.inlines.hh \
-Linear_System.defs.hh \
-Linear_System.inlines.hh \
-Linear_System.templates.hh \
-Bit_Matrix.defs.hh \
-Bit_Matrix.inlines.hh \
-Constraint_System.defs.hh \
-Generator_System.defs.hh \
-Grid_Generator_System.defs.hh \
-Congruence_System.defs.hh \
-Linear_Expression.defs.hh \
-Linear_Expression.inlines.hh \
-Expression_Hide_Last.defs.hh \
-Expression_Hide_Last.inlines.hh \
-Expression_Hide_Inhomo.defs.hh \
-Expression_Hide_Inhomo.inlines.hh \
-Linear_Expression_Impl.defs.hh \
-Linear_Expression_Impl.inlines.hh \
-Linear_Expression_Impl.templates.hh \
-Linear_Expression_Interface.defs.hh \
-Linear_Form.defs.hh \
-Linear_Form.inlines.hh \
-Linear_Form.templates.hh \
+Topology_types.hh \
+Dense_Row_defs.hh \
+Dense_Row_inlines.hh \
+Dense_Row_templates.hh \
+CO_Tree_defs.hh \
+CO_Tree_inlines.hh \
+CO_Tree_templates.hh \
+Sparse_Row_defs.hh \
+Sparse_Row_inlines.hh \
+Sparse_Row_templates.hh \
+Bit_Row_defs.hh \
+Bit_Row_inlines.hh \
+Linear_System_defs.hh \
+Linear_System_inlines.hh \
+Linear_System_templates.hh \
+Bit_Matrix_defs.hh \
+Bit_Matrix_inlines.hh \
+Constraint_System_defs.hh \
+Generator_System_defs.hh \
+Grid_Generator_System_defs.hh \
+Congruence_System_defs.hh \
+Linear_Expression_defs.hh \
+Linear_Expression_inlines.hh \
+Expression_Adapter_defs.hh \
+Expression_Adapter_inlines.hh \
+Expression_Hide_Last_defs.hh \
+Expression_Hide_Last_inlines.hh \
+Expression_Hide_Inhomo_defs.hh \
+Expression_Hide_Inhomo_inlines.hh \
+Linear_Expression_Impl_defs.hh \
+Linear_Expression_Impl_inlines.hh \
+Linear_Expression_Impl_templates.hh \
+Linear_Expression_Interface_defs.hh \
+Linear_Form_defs.hh \
+Linear_Form_inlines.hh \
+Linear_Form_templates.hh \
linearize.hh \
-Constraint.defs.hh \
-Constraint.inlines.hh \
-Constraint_System.inlines.hh \
-Generator.defs.hh \
-Generator.inlines.hh \
-Grid_Generator.defs.hh \
-Grid_Generator.inlines.hh \
-Congruence.defs.hh \
-Congruence.inlines.hh \
-Generator_System.inlines.hh \
-Grid_Generator_System.inlines.hh \
-Congruence_System.inlines.hh \
-Scalar_Products.defs.hh \
-Scalar_Products.inlines.hh \
-Matrix.defs.hh \
-Matrix.inlines.hh \
-Matrix.templates.hh \
-Swapping_Vector.defs.hh \
-Swapping_Vector.inlines.hh \
-MIP_Problem.types.hh \
-MIP_Problem.defs.hh \
-MIP_Problem.inlines.hh \
-MIP_Problem.templates.hh \
-PIP_Tree.types.hh \
-PIP_Tree.defs.hh \
-PIP_Tree.inlines.hh \
-PIP_Problem.types.hh \
-PIP_Problem.defs.hh \
-PIP_Problem.inlines.hh \
-PIP_Problem.templates.hh \
-Poly_Con_Relation.defs.hh \
-Poly_Con_Relation.inlines.hh \
-Poly_Gen_Relation.defs.hh \
-Poly_Gen_Relation.inlines.hh \
-BHRZ03_Certificate.defs.hh \
-BHRZ03_Certificate.inlines.hh \
-H79_Certificate.defs.hh \
-H79_Certificate.inlines.hh \
-Grid_Certificate.defs.hh \
-Grid_Certificate.inlines.hh \
-Partial_Function.defs.hh \
-Partial_Function.inlines.hh \
-Polyhedron.defs.hh \
-Ph_Status.inlines.hh \
-Polyhedron.inlines.hh \
-Polyhedron_chdims.templates.hh \
-Polyhedron_conversion.templates.hh \
-Polyhedron_minimize.templates.hh \
-Polyhedron_simplify.templates.hh \
-Polyhedron.templates.hh \
-Grid.defs.hh \
-Grid_Status.inlines.hh \
-Grid.inlines.hh \
-Grid.templates.hh \
-C_Polyhedron.defs.hh \
-C_Polyhedron.inlines.hh \
-NNC_Polyhedron.defs.hh \
-NNC_Polyhedron.inlines.hh \
-Widening_Function.types.hh \
-Widening_Function.defs.hh \
-Widening_Function.inlines.hh \
-Ptr_Iterator.defs.hh \
-Ptr_Iterator.inlines.hh \
-DB_Row.defs.hh \
-DB_Row.inlines.hh \
-DB_Row.templates.hh \
-DB_Matrix.defs.hh \
-DB_Matrix.inlines.hh \
-DB_Matrix.templates.hh \
-BD_Shape.defs.hh \
-BDS_Status.inlines.hh \
-BD_Shape.inlines.hh \
-BD_Shape.templates.hh \
-OR_Matrix.defs.hh \
-OR_Matrix.inlines.hh \
-OR_Matrix.templates.hh \
-Octagonal_Shape.defs.hh \
-Og_Status.inlines.hh \
-Octagonal_Shape.inlines.hh \
-Octagonal_Shape.templates.hh \
-Determinate.types.hh \
-Determinate.defs.hh \
-Determinate.inlines.hh \
-Powerset.types.hh \
-Powerset.defs.hh \
-Powerset.inlines.hh \
-Powerset.templates.hh \
-Pointset_Powerset.types.hh \
-Pointset_Powerset.defs.hh \
-Pointset_Powerset.inlines.hh \
-Pointset_Powerset.templates.hh \
-Partially_Reduced_Product.types.hh \
-Partially_Reduced_Product.defs.hh \
-Partially_Reduced_Product.inlines.hh \
-Partially_Reduced_Product.templates.hh \
-Weight_Profiler.defs.hh \
+Constraint_defs.hh \
+Constraint_inlines.hh \
+Constraint_System_inlines.hh \
+Generator_defs.hh \
+Generator_inlines.hh \
+Grid_Generator_defs.hh \
+Grid_Generator_inlines.hh \
+Congruence_defs.hh \
+Congruence_inlines.hh \
+Generator_System_inlines.hh \
+Grid_Generator_System_inlines.hh \
+Congruence_System_inlines.hh \
+Scalar_Products_defs.hh \
+Scalar_Products_inlines.hh \
+Matrix_defs.hh \
+Matrix_inlines.hh \
+Matrix_templates.hh \
+Swapping_Vector_defs.hh \
+Swapping_Vector_inlines.hh \
+MIP_Problem_types.hh \
+MIP_Problem_defs.hh \
+MIP_Problem_inlines.hh \
+MIP_Problem_templates.hh \
+PIP_Tree_types.hh \
+PIP_Tree_defs.hh \
+PIP_Tree_inlines.hh \
+PIP_Problem_types.hh \
+PIP_Problem_defs.hh \
+PIP_Problem_inlines.hh \
+PIP_Problem_templates.hh \
+Poly_Con_Relation_defs.hh \
+Poly_Con_Relation_inlines.hh \
+Poly_Gen_Relation_defs.hh \
+Poly_Gen_Relation_inlines.hh \
+BHRZ03_Certificate_defs.hh \
+BHRZ03_Certificate_inlines.hh \
+H79_Certificate_defs.hh \
+H79_Certificate_inlines.hh \
+Grid_Certificate_defs.hh \
+Grid_Certificate_inlines.hh \
+Partial_Function_defs.hh \
+Partial_Function_inlines.hh \
+Polyhedron_defs.hh \
+Ph_Status_inlines.hh \
+Polyhedron_inlines.hh \
+Polyhedron_chdims_templates.hh \
+Polyhedron_conversion_templates.hh \
+Polyhedron_minimize_templates.hh \
+Polyhedron_simplify_templates.hh \
+Polyhedron_templates.hh \
+Grid_defs.hh \
+Grid_Status_inlines.hh \
+Grid_inlines.hh \
+Grid_templates.hh \
+C_Polyhedron_defs.hh \
+C_Polyhedron_inlines.hh \
+NNC_Polyhedron_defs.hh \
+NNC_Polyhedron_inlines.hh \
+Widening_Function_types.hh \
+Widening_Function_defs.hh \
+Widening_Function_inlines.hh \
+Ptr_Iterator_defs.hh \
+Ptr_Iterator_inlines.hh \
+DB_Row_defs.hh \
+DB_Row_inlines.hh \
+DB_Row_templates.hh \
+DB_Matrix_defs.hh \
+DB_Matrix_inlines.hh \
+DB_Matrix_templates.hh \
+BD_Shape_defs.hh \
+BDS_Status_inlines.hh \
+BD_Shape_inlines.hh \
+BD_Shape_templates.hh \
+OR_Matrix_defs.hh \
+OR_Matrix_inlines.hh \
+OR_Matrix_templates.hh \
+Octagonal_Shape_defs.hh \
+Og_Status_inlines.hh \
+Octagonal_Shape_inlines.hh \
+Octagonal_Shape_templates.hh \
+Determinate_types.hh \
+Determinate_defs.hh \
+Determinate_inlines.hh \
+Powerset_types.hh \
+Powerset_defs.hh \
+Powerset_inlines.hh \
+Powerset_templates.hh \
+Pointset_Powerset_types.hh \
+Pointset_Powerset_defs.hh \
+Pointset_Powerset_inlines.hh \
+Pointset_Powerset_templates.hh \
+Partially_Reduced_Product_types.hh \
+Partially_Reduced_Product_defs.hh \
+Partially_Reduced_Product_inlines.hh \
+Partially_Reduced_Product_templates.hh \
+Weight_Profiler_defs.hh \
max_space_dimension.hh \
algorithms.hh \
-termination.defs.hh \
-termination.templates.hh \
+termination_defs.hh \
+termination_templates.hh \
wrap_assign.hh \
wrap_string.hh \
-Floating_Point_Expression.types.hh \
-Floating_Point_Expression.defs.hh \
-Floating_Point_Expression.inlines.hh \
-Floating_Point_Expression.templates.hh \
-Cast_Floating_Point_Expression.types.hh \
-Cast_Floating_Point_Expression.defs.hh \
-Cast_Floating_Point_Expression.inlines.hh \
-Cast_Floating_Point_Expression.templates.hh \
-Constant_Floating_Point_Expression.types.hh \
-Constant_Floating_Point_Expression.defs.hh \
-Constant_Floating_Point_Expression.inlines.hh \
-Variable_Floating_Point_Expression.types.hh \
-Variable_Floating_Point_Expression.defs.hh \
-Variable_Floating_Point_Expression.inlines.hh \
-Sum_Floating_Point_Expression.types.hh \
-Sum_Floating_Point_Expression.defs.hh \
-Sum_Floating_Point_Expression.inlines.hh \
-Sum_Floating_Point_Expression.templates.hh \
-Difference_Floating_Point_Expression.types.hh \
-Difference_Floating_Point_Expression.defs.hh \
-Difference_Floating_Point_Expression.inlines.hh \
-Difference_Floating_Point_Expression.templates.hh \
-Multiplication_Floating_Point_Expression.types.hh \
-Multiplication_Floating_Point_Expression.defs.hh \
-Multiplication_Floating_Point_Expression.inlines.hh \
-Multiplication_Floating_Point_Expression.templates.hh \
-Division_Floating_Point_Expression.types.hh \
-Division_Floating_Point_Expression.defs.hh \
-Division_Floating_Point_Expression.inlines.hh \
-Division_Floating_Point_Expression.templates.hh \
-Opposite_Floating_Point_Expression.types.hh \
-Opposite_Floating_Point_Expression.defs.hh \
-Opposite_Floating_Point_Expression.inlines.hh \
-Doubly_Linked_Object.types.hh \
-EList.types.hh \
-EList_Iterator.types.hh \
-Handler.types.hh \
-Pending_Element.types.hh \
-Pending_List.types.hh \
-Time.types.hh \
-Watchdog.types.hh \
-Threshold_Watcher.types.hh \
-Handler.defs.hh \
-Handler.inlines.hh \
-Time.defs.hh \
-Time.inlines.hh \
-Doubly_Linked_Object.defs.hh \
-Doubly_Linked_Object.inlines.hh \
-EList_Iterator.defs.hh \
-EList_Iterator.inlines.hh \
-EList.defs.hh \
-EList.inlines.hh \
-Pending_Element.defs.hh \
-Pending_Element.inlines.hh \
-Pending_List.defs.hh \
-Pending_List.inlines.hh \
-Pending_List.templates.hh \
-Watchdog.defs.hh \
-Watchdog.inlines.hh \
-Threshold_Watcher.defs.hh \
-Threshold_Watcher.inlines.hh \
-Threshold_Watcher.templates.hh
-
-#Any_Pointset.types.hh \
-#Any_Pointset.defs.hh \
-#Any_Pointset.inlines.hh \
-#Ask_Tell.types.hh \
-#Ask_Tell.defs.hh \
-#Ask_Tell.inlines.hh \
-#Ask_Tell.templates.hh \
-#Pointset_Ask_Tell.types.hh \
-#Pointset_Ask_Tell.defs.hh \
-#Pointset_Ask_Tell.inlines.hh \
-#Pointset_Ask_Tell.templates.hh
+Floating_Point_Expression_types.hh \
+Floating_Point_Expression_defs.hh \
+Floating_Point_Expression_inlines.hh \
+Floating_Point_Expression_templates.hh \
+Cast_Floating_Point_Expression_types.hh \
+Cast_Floating_Point_Expression_defs.hh \
+Cast_Floating_Point_Expression_inlines.hh \
+Cast_Floating_Point_Expression_templates.hh \
+Constant_Floating_Point_Expression_types.hh \
+Constant_Floating_Point_Expression_defs.hh \
+Constant_Floating_Point_Expression_inlines.hh \
+Variable_Floating_Point_Expression_types.hh \
+Variable_Floating_Point_Expression_defs.hh \
+Variable_Floating_Point_Expression_inlines.hh \
+Sum_Floating_Point_Expression_types.hh \
+Sum_Floating_Point_Expression_defs.hh \
+Sum_Floating_Point_Expression_inlines.hh \
+Sum_Floating_Point_Expression_templates.hh \
+Difference_Floating_Point_Expression_types.hh \
+Difference_Floating_Point_Expression_defs.hh \
+Difference_Floating_Point_Expression_inlines.hh \
+Difference_Floating_Point_Expression_templates.hh \
+Multiplication_Floating_Point_Expression_types.hh \
+Multiplication_Floating_Point_Expression_defs.hh \
+Multiplication_Floating_Point_Expression_inlines.hh \
+Multiplication_Floating_Point_Expression_templates.hh \
+Division_Floating_Point_Expression_types.hh \
+Division_Floating_Point_Expression_defs.hh \
+Division_Floating_Point_Expression_inlines.hh \
+Division_Floating_Point_Expression_templates.hh \
+Opposite_Floating_Point_Expression_types.hh \
+Opposite_Floating_Point_Expression_defs.hh \
+Opposite_Floating_Point_Expression_inlines.hh \
+Doubly_Linked_Object_types.hh \
+EList_types.hh \
+EList_Iterator_types.hh \
+Handler_types.hh \
+Pending_Element_types.hh \
+Pending_List_types.hh \
+Time_types.hh \
+Watchdog_types.hh \
+Threshold_Watcher_types.hh \
+Handler_defs.hh \
+Handler_inlines.hh \
+Time_defs.hh \
+Time_inlines.hh \
+Doubly_Linked_Object_defs.hh \
+Doubly_Linked_Object_inlines.hh \
+EList_Iterator_defs.hh \
+EList_Iterator_inlines.hh \
+EList_defs.hh \
+EList_inlines.hh \
+Pending_Element_defs.hh \
+Pending_Element_inlines.hh \
+Pending_List_defs.hh \
+Pending_List_inlines.hh \
+Pending_List_templates.hh \
+Watchdog_defs.hh \
+Watchdog_inlines.hh \
+Threshold_Watcher_defs.hh \
+Threshold_Watcher_inlines.hh \
+Threshold_Watcher_templates.hh
+
+#Any_Pointset_types.hh \
+#Any_Pointset_defs.hh \
+#Any_Pointset_inlines.hh \
+#Ask_Tell_types.hh \
+#Ask_Tell_defs.hh \
+#Ask_Tell_inlines.hh \
+#Ask_Tell_templates.hh \
+#Pointset_Ask_Tell_types.hh \
+#Pointset_Ask_Tell_defs.hh \
+#Pointset_Ask_Tell_inlines.hh \
+#Pointset_Ask_Tell_templates.hh
NESTED_INCLUDE_FILES = \
-Ph_Status.idefs.hh \
-Grid_Status.idefs.hh \
-Box_Status.idefs.hh \
-BDS_Status.idefs.hh \
-Og_Status.idefs.hh
+Ph_Status_idefs.hh \
+Grid_Status_idefs.hh \
+Box_Status_idefs.hh \
+BDS_Status_idefs.hh \
+Og_Status_idefs.hh
libppl_la_SOURCES = \
assert.cc \
@@ -1091,7 +1130,7 @@ Weight_Profiler.cc \
version.cc \
$(INCLUDE_FILES) \
$(NESTED_INCLUDE_FILES) \
-swapping_sort.templates.hh \
+swapping_sort_templates.hh \
termination.cc \
wrap_string.cc \
Time.cc \
@@ -1165,7 +1204,6 @@ ppl-config.cc: $(top_builddir)/config.status $(srcdir)/ppl-config.cc.in
cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@
install-libLTLIBRARIES: $(lib_LTLIBRARIES)
@$(NORMAL_INSTALL)
- test -z "$(libdir)" || $(MKDIR_P) "$(DESTDIR)$(libdir)"
@list='$(lib_LTLIBRARIES)'; test -n "$(libdir)" || list=; \
list2=; for p in $$list; do \
if test -f $$p; then \
@@ -1173,6 +1211,8 @@ install-libLTLIBRARIES: $(lib_LTLIBRARIES)
else :; fi; \
done; \
test -z "$$list2" || { \
+ echo " $(MKDIR_P) '$(DESTDIR)$(libdir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(libdir)" || exit 1; \
echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(libdir)'"; \
$(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(libdir)"; \
}
@@ -1188,18 +1228,23 @@ uninstall-libLTLIBRARIES:
clean-libLTLIBRARIES:
-test -z "$(lib_LTLIBRARIES)" || rm -f $(lib_LTLIBRARIES)
- @list='$(lib_LTLIBRARIES)'; for p in $$list; do \
- dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
- test "$$dir" != "$$p" || dir=.; \
- echo "rm -f \"$${dir}/so_locations\""; \
- rm -f "$${dir}/so_locations"; \
- done
+ @list='$(lib_LTLIBRARIES)'; \
+ locs=`for p in $$list; do echo $$p; done | \
+ sed 's|^[^/]*$$|.|; s|/[^/]*$$||; s|$$|/so_locations|' | \
+ sort -u`; \
+ test -z "$$locs" || { \
+ echo rm -f $${locs}; \
+ rm -f $${locs}; \
+ }
libppl.la: $(libppl_la_OBJECTS) $(libppl_la_DEPENDENCIES) $(EXTRA_libppl_la_DEPENDENCIES)
$(AM_V_CXXLD)$(libppl_la_LINK) -rpath $(libdir) $(libppl_la_OBJECTS) $(libppl_la_LIBADD) $(LIBS)
install-binPROGRAMS: $(bin_PROGRAMS)
@$(NORMAL_INSTALL)
- test -z "$(bindir)" || $(MKDIR_P) "$(DESTDIR)$(bindir)"
@list='$(bin_PROGRAMS)'; test -n "$(bindir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(bindir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(bindir)" || exit 1; \
+ fi; \
for p in $$list; do echo "$$p $$p"; done | \
sed 's/$(EXEEXT)$$//' | \
while read p p1; do if test -f $$p || test -f $$p1; \
@@ -1348,8 +1393,11 @@ clean-libtool:
-rm -rf .libs _libs
install-includeHEADERS: $(include_HEADERS)
@$(NORMAL_INSTALL)
- test -z "$(includedir)" || $(MKDIR_P) "$(DESTDIR)$(includedir)"
@list='$(include_HEADERS)'; test -n "$(includedir)" || list=; \
+ if test -n "$$list"; then \
+ echo " $(MKDIR_P) '$(DESTDIR)$(includedir)'"; \
+ $(MKDIR_P) "$(DESTDIR)$(includedir)" || exit 1; \
+ fi; \
for p in $$list; do \
if test -f "$$p"; then d=; else d="$(srcdir)/"; fi; \
echo "$$d$$p"; \
@@ -1414,6 +1462,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1568,8 +1630,8 @@ uninstall-am: uninstall-binPROGRAMS uninstall-includeHEADERS \
.MAKE: all check install install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-am clean clean-binPROGRAMS \
- clean-generic clean-libLTLIBRARIES clean-libtool ctags \
- dist-hook distclean distclean-compile distclean-generic \
+ clean-generic clean-libLTLIBRARIES clean-libtool cscopelist \
+ ctags dist-hook distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-binPROGRAMS \
install-data install-data-am install-dvi install-dvi-am \
@@ -1638,24 +1700,24 @@ ppl_include_files.hh: $(INCLUDE_FILES) Makefile
@HAVE_PERL_FALSE@ @echo "}" >>$@
@HAVE_PERL_FALSE at ppl.hh: ppl.hh.dist ppl.hh.sed
- at HAVE_PERL_FALSE@ $(SED) -f ppl.hh.sed $< >$@
+ at HAVE_PERL_FALSE@ $(SED) -f ppl.hh.sed ppl.hh.dist >$@
@HAVE_PERL_FALSE@ rm -f ppl.hh.sed
@HAVE_PERL_FALSE at BUGS.hh: BUGS.hh.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f BUGS.hh.dist $@
@HAVE_PERL_FALSE at BUGS.cc: BUGS.cc.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f BUGS.cc.dist $@
@HAVE_PERL_FALSE at COPYING.hh: COPYING.hh.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f COPYING.hh.dist $@
@HAVE_PERL_FALSE at COPYING.cc: COPYING.cc.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f COPYING.cc.dist $@
@HAVE_PERL_FALSE at CREDITS.hh: CREDITS.hh.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f CREDITS.hh.dist $@
@HAVE_PERL_FALSE at CREDITS.cc: CREDITS.cc.dist
- at HAVE_PERL_FALSE@ cp -f $< $@
+ at HAVE_PERL_FALSE@ cp -f CREDITS.cc.dist $@
@USE_PRECOMPILED_HEADERS_TRUE at ppl.hh.gch: ppl.hh
- at USE_PRECOMPILED_HEADERS_TRUE@ $(CXXCOMPILE) -xc++-header -o $@ $<
+ at USE_PRECOMPILED_HEADERS_TRUE@ $(CXXCOMPILE) -xc++-header -o $@ ppl.hh
# ppl.hh is not distributed.
# ppl.hh.dist, which is distributed, is a copy of ppl.hh;
diff --git a/src/Matrix.defs.hh b/src/Matrix.defs.hh
deleted file mode 100644
index 1aae5da..0000000
--- a/src/Matrix.defs.hh
+++ /dev/null
@@ -1,437 +0,0 @@
-/* Matrix class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Matrix_defs_hh
-#define PPL_Matrix_defs_hh 1
-
-#include "Matrix.types.hh"
-#include "globals.defs.hh"
-#include "Coefficient.defs.hh"
-#include "Swapping_Vector.defs.hh"
-#include <ostream>
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A sparse matrix of Coefficient.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-class Parma_Polyhedra_Library::Matrix {
-
-public:
- typedef typename Swapping_Vector<Row>::iterator iterator;
- typedef typename Swapping_Vector<Row>::const_iterator const_iterator;
-
- //! Returns the maximum number of rows of a Sparse_Matrix.
- static dimension_type max_num_rows();
-
- //! Returns the maximum number of columns of a Sparse_Matrix.
- static dimension_type max_num_columns();
-
- /*!
- \brief Constructs a square matrix with the given size, filled with
- unstored zeroes.
-
- \param n
- The size of the new square matrix.
-
- This method takes \f$O(n)\f$ time.
- */
- explicit Matrix(dimension_type n = 0);
-
- /*!
- \brief Constructs a matrix with the given dimensions, filled with unstored
- zeroes.
-
- \param num_rows
- The number of rows in the new matrix.
-
- \param num_columns
- The number of columns in the new matrix.
-
- This method takes \f$O(n)\f$ time, where n is \p num_rows.
- */
- Matrix(dimension_type num_rows, dimension_type num_columns);
-
- //! Swaps (*this) with x.
- /*!
-
- \param x
- The matrix that will be swapped with *this.
-
- This method takes \f$O(1)\f$ time.
- */
- void m_swap(Matrix& x);
-
- //! Returns the number of rows in the matrix.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- dimension_type num_rows() const;
-
- //! Returns the number of columns in the matrix.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- dimension_type num_columns() const;
-
- // TODO: Check if this can be removed.
- //! Returns the capacity of the row vector.
- dimension_type capacity() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this has no rows.
- /*!
- \note
- The unusual naming for this method is \em intentional:
- we do not want it to be named \c empty because this would cause
- an error prone name clash with the corresponding methods in derived
- classes Constraint_System and Congruence_System (which have a
- different semantics).
- */
- bool has_no_rows() const;
-
- //! Equivalent to resize(n, n).
- void resize(dimension_type n);
-
- // TODO: Check if this can become private.
- //! Reserves space for at least \p n rows.
- void reserve_rows(dimension_type n);
-
- //! Resizes this matrix to the specified dimensions.
- /*!
-
- \param num_rows
- The desired numer of rows.
-
- \param num_columns
- The desired numer of columns.
-
- New rows and columns will contain non-stored zeroes.
-
- This operation invalidates existing iterators.
-
- Adding n rows takes \f$O(n)\f$ amortized time.
-
- Adding n columns takes \f$O(r)\f$ time, where r is \p num_rows.
-
- Removing n rows takes \f$O(n+k)\f$ amortized time, where k is the total
- number of elements stored in the removed rows.
-
- Removing n columns takes \f$O(\sum_{j=1}^{r} (k_j*\log^2 n_j))\f$ time,
- where r is the number of rows, \f$k_j\f$ is the number of elements stored
- in the columns of the j-th row that must be removed and \f$n_j\f$ is the
- total number of elements stored in the j-th row.
- A weaker (but simpler) bound is \f$O(r+k*\log^2 c)\f$, where r is the
- number of rows, k is the number of elements that have to be removed and c
- is the number of columns.
- */
- void resize(dimension_type num_rows, dimension_type num_columns);
-
- //! Adds \p n rows and \p m columns of zeroes to the matrix.
- /*!
- \param n
- The number of rows to be added: must be strictly positive.
-
- \param m
- The number of columns to be added: must be strictly positive.
-
- Turns the \f$r \times c\f$ matrix \f$M\f$ into
- the \f$(r+n) \times (c+m)\f$ matrix
- \f$\bigl(\genfrac{}{}{0pt}{}{M}{0} \genfrac{}{}{0pt}{}{0}{0}\bigr)\f$.
- The matrix is expanded avoiding reallocation whenever possible.
-
- This method takes \f$O(r)\f$ time, where r is the number of the matrix's
- rows after the operation.
- */
- void add_zero_rows_and_columns(dimension_type n, dimension_type m);
-
- //! Adds to the matrix \p n rows of zeroes.
- /*!
- \param n
- The number of rows to be added: must be strictly positive.
-
- Turns the \f$r \times c\f$ matrix \f$M\f$ into
- the \f$(r+n) \times c\f$ matrix \f$\genfrac{(}{)}{0pt}{}{M}{0}\f$.
- The matrix is expanded avoiding reallocation whenever possible.
-
- This method takes \f$O(k)\f$ amortized time, where k is the number of the
- new rows.
- */
- void add_zero_rows(dimension_type n);
-
- //! Adds a copy of the row \p x at the end of the matrix.
- /*!
-
- \param x
- The row that will be appended to the matrix.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(n)\f$ amortized time, where n is the numer of
- elements stored in \p x.
- */
- void add_row(const Row& x);
-
- //! Adds the row \p y to the matrix.
- /*!
- \param y
- The row to be added: it must have the same size and capacity as
- \p *this. It is not declared <CODE>const</CODE> because its
- data-structures will recycled to build the new matrix row.
-
- Turns the \f$r \times c\f$ matrix \f$M\f$ into
- the \f$(r+1) \times c\f$ matrix
- \f$\genfrac{(}{)}{0pt}{}{M}{y}\f$.
- The matrix is expanded avoiding reallocation whenever possible.
- */
- void add_recycled_row(Row& y);
-
- /*! \brief
- Removes from the matrix the last \p n rows.
-
- \param n
- The number of row that will be removed.
-
- It is equivalent to num_rows() - n, num_columns()).
-
- This method takes \f$O(n+k)\f$ amortized time, where k is the total number
- of elements stored in the removed rows and n is the number of removed
- rows.
- */
- void remove_trailing_rows(dimension_type n);
-
- void remove_rows(iterator first, iterator last);
-
- //! Permutes the columns of the matrix.
- /*!
- This method may be slow for some Row types, and should be avoided if
- possible.
-
- \param cycles
- A vector representing the non-trivial cycles of the permutation
- according to which the columns must be rearranged.
-
- The \p cycles vector contains, one after the other, the
- non-trivial cycles (i.e., the cycles of length greater than one)
- of a permutation of \e non-zero column indexes. Each cycle is
- terminated by zero. For example, assuming the matrix has 7
- columns, the permutation \f$ \{ 1 \mapsto 3, 2 \mapsto 4,
- 3 \mapsto 6, 4 \mapsto 2, 5 \mapsto 5, 6 \mapsto 1 \}\f$ can be
- represented by the non-trivial cycles \f$(1 3 6)(2 4)\f$ that, in
- turn can be represented by a vector of 6 elements containing 1, 3,
- 6, 0, 2, 4, 0.
-
- This method takes \f$O(k*\sum_{j=1}^{r} \log^2 n_j)\f$ expected time,
- where k is the size of the \p cycles vector, r the number of rows and
- \f$n_j\f$ the number of elements stored in row j.
- A weaker (but simpler) bound is \f$O(k*r*\log^2 c)\f$, where k is the size
- of the \p cycles vector, r is the number of rows and c is the number of
- columns.
-
- \note
- The first column of the matrix, having index zero, is never involved
- in a permutation.
- */
- void permute_columns(const std::vector<dimension_type>& cycles);
-
- //! Swaps the columns having indexes \p i and \p j.
- void swap_columns(dimension_type i, dimension_type j);
-
- //! Adds \p n columns of zeroes to the matrix.
- /*!
- \param n
- The number of columns to be added: must be strictly positive.
-
- Turns the \f$r \times c\f$ matrix \f$M\f$ into
- the \f$r \times (c+n)\f$ matrix \f$(M \, 0)\f$.
-
- This method takes \f$O(r)\f$ amortized time, where r is the numer of the
- matrix's rows.
- */
- void add_zero_columns(dimension_type n);
-
- //! Adds \p n columns of non-stored zeroes to the matrix before column i.
- /*!
-
- \param n
- The numer of columns that will be added.
-
- \param i
- The index of the column before which the new columns will be added.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\sum_{j=1}^{r} (k_j+\log n_j))\f$ time, where r is
- the number of rows, \f$k_j\f$ is the number of elements stored in the
- columns of the j-th row that must be shifted and \f$n_j\f$ is the number
- of elements stored in the j-th row.
- A weaker (but simpler) bound is \f$O(k+r*\log c)\f$ time, where k is the
- number of elements that must be shifted, r is the number of the rows and c
- is the number of the columns.
- */
- void add_zero_columns(dimension_type n, dimension_type i);
-
- //! Removes the i-th from the matrix, shifting other columns to the left.
- /*!
-
- \param i
- The index of the column that will be removed.
-
- This operation invalidates existing iterators on rows' elements.
-
- This method takes \f$O(k + \sum_{j=1}^{r} (\log^2 n_j))\f$ amortized time,
- where k is the number of elements stored with column index greater than i,
- r the number of rows in this matrix and \f$n_j\f$ the number of elements
- stored in row j.
- A weaker (but simpler) bound is \f$O(r*(c-i+\log^2 c))\f$, where r is the
- number of rows, c is the number of columns and i is the parameter passed
- to this method.
- */
- void remove_column(dimension_type i);
-
- //! Shrinks the matrix by removing its \p n trailing columns.
- /*!
-
- \param n
- The number of trailing columns that will be removed.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\sum_{j=1}^r (k_j*\log n_j))\f$ amortized time,
- where r is the number of rows, \f$k_j\f$ is the number of elements that
- have to be removed from row j and \f$n_j\f$ is the total number of
- elements stored in row j.
- A weaker (but simpler) bound is \f$O(r*n*\log c)\f$, where r is the number
- of rows, c the number of columns and n the parameter passed to this
- method.
- */
- void remove_trailing_columns(dimension_type n);
-
- //! Equivalent to resize(0,0).
- void clear();
-
- //! Returns an %iterator pointing to the first row.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator begin();
-
- //! Returns an %iterator pointing after the last row.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator end();
-
- //! Returns an %iterator pointing to the first row.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator begin() const;
-
- //! Returns an %iterator pointing after the last row.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator end() const;
-
- //! Returns a reference to the i-th row.
- /*!
- \param i
- The index of the desired row.
-
- This method takes \f$O(1)\f$ time.
- */
- Row& operator[](dimension_type i);
-
- //! Returns a const reference to the i-th row.
- /*!
- \param i
- The index of the desired row.
-
- This method takes \f$O(1)\f$ time.
- */
- const Row& operator[](dimension_type i) const;
-
- //! Loads the row from an ASCII representation generated using ascii_dump().
- /*!
- \param s
- The stream from which read the ASCII representation.
-
- This method takes \f$O(n*\log n)\f$ time.
- */
- bool ascii_load(std::istream& s);
-
- PPL_OUTPUT_DECLARATIONS
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- /*!
- This method is \f$O(r+k)\f$, where r is the number of rows and k is the
- number of elements stored in the matrix.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- This method is \f$O(r+k)\f$, where r is the number of rows and k is the
- number of elements stored in the matrix.
- */
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
-private:
- //! The vector that stores the matrix's elements.
- Swapping_Vector<Row> rows;
-
- //! The number of columns in this matrix.
- dimension_type num_columns_;
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-void swap(Matrix<Row>& x, Matrix<Row>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-bool operator==(const Matrix<Row>& x, const Matrix<Row>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Row>
-bool operator!=(const Matrix<Row>& x, const Matrix<Row>& y);
-
-} // namespace Parma_Polyhedra_Library
-
-
-#include "Matrix.inlines.hh"
-#include "Matrix.templates.hh"
-
-#endif // !defined(PPL_Matrix_defs_hh)
diff --git a/src/Matrix.inlines.hh b/src/Matrix.inlines.hh
deleted file mode 100644
index 46498c1..0000000
--- a/src/Matrix.inlines.hh
+++ /dev/null
@@ -1,200 +0,0 @@
-/* Matrix class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Matrix_inlines_hh
-#define PPL_Matrix_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-inline dimension_type
-Matrix<Row>::max_num_rows() {
- return std::vector<Row>().max_size();
-}
-
-template <typename Row>
-inline dimension_type
-Matrix<Row>::max_num_columns() {
- return Row::max_size();
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::m_swap(Matrix& x) {
- using std::swap;
- swap(rows, x.rows);
- swap(num_columns_, x.num_columns_);
-}
-
-template <typename Row>
-inline dimension_type
-Matrix<Row>::num_rows() const {
- return rows.size();
-}
-
-template <typename Row>
-inline dimension_type
-Matrix<Row>::num_columns() const {
- return num_columns_;
-}
-
-template <typename Row>
-inline dimension_type
-Matrix<Row>::capacity() const {
- return rows.capacity();
-}
-
-template <typename Row>
-inline bool
-Matrix<Row>::has_no_rows() const {
- return num_rows() == 0;
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::resize(dimension_type n) {
- resize(n, n);
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::reserve_rows(dimension_type requested_capacity) {
-
- rows.reserve(requested_capacity);
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::add_zero_rows_and_columns(dimension_type n, dimension_type m) {
- resize(num_rows() + n, num_columns() + m);
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::add_zero_rows(dimension_type n) {
- resize(num_rows() + n, num_columns());
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::add_row(const Row& x) {
- // TODO: Optimize this.
- Row row(x);
- add_zero_rows(1);
- // Now x may have been invalidated, if it was a row of this matrix.
- swap(rows.back(), row);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::add_recycled_row(Row& x) {
- add_zero_rows(1);
- swap(rows.back(), x);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::remove_trailing_rows(dimension_type n) {
- resize(num_rows() - n, num_columns());
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::remove_rows(iterator first, iterator last) {
- rows.erase(first, last);
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::add_zero_columns(dimension_type n) {
- resize(num_rows(), num_columns() + n);
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::remove_trailing_columns(dimension_type n) {
- PPL_ASSERT(n <= num_columns());
- resize(num_rows(), num_columns() - n);
-}
-
-template <typename Row>
-inline void
-Matrix<Row>::clear() {
- resize(0, 0);
-}
-
-template <typename Row>
-inline typename Matrix<Row>::iterator
-Matrix<Row>::begin() {
- return rows.begin();
-}
-
-template <typename Row>
-inline typename Matrix<Row>::iterator
-Matrix<Row>::end() {
- return rows.end();
-}
-
-template <typename Row>
-inline typename Matrix<Row>::const_iterator
-Matrix<Row>::begin() const {
- return rows.begin();
-}
-
-template <typename Row>
-inline typename Matrix<Row>::const_iterator
-Matrix<Row>::end() const {
- return rows.end();
-}
-
-template <typename Row>
-inline Row&
-Matrix<Row>::operator[](dimension_type i) {
- PPL_ASSERT(i < rows.size());
- return rows[i];
-}
-
-template <typename Row>
-inline const Row&
-Matrix<Row>::operator[](dimension_type i) const {
- PPL_ASSERT(i < rows.size());
- return rows[i];
-}
-
-template <typename Row>
-inline memory_size_type
-Matrix<Row>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename Row>
-inline void
-swap(Matrix<Row>& x, Matrix<Row>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Matrix_inlines_hh)
diff --git a/src/Matrix.templates.hh b/src/Matrix.templates.hh
deleted file mode 100644
index d000eea..0000000
--- a/src/Matrix.templates.hh
+++ /dev/null
@@ -1,201 +0,0 @@
-/* Matrix class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Matrix_templates_hh
-#define PPL_Matrix_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-Matrix<Row>::Matrix(dimension_type n)
- : rows(n), num_columns_(n) {
- for (dimension_type i = 0; i < rows.size(); ++i)
- rows[i].resize(num_columns_);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-Matrix<Row>::Matrix(dimension_type num_rows, dimension_type num_columns)
- : rows(num_rows), num_columns_(num_columns) {
- for (dimension_type i = 0; i < rows.size(); ++i)
- rows[i].resize(num_columns_);
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Matrix<Row>::resize(dimension_type num_rows, dimension_type num_columns) {
- const dimension_type old_num_rows = rows.size();
- rows.resize(num_rows);
- if (old_num_rows < num_rows) {
- for (dimension_type i = old_num_rows; i < num_rows; ++i)
- rows[i].resize(num_columns);
- if (num_columns_ != num_columns) {
- num_columns_ = num_columns;
- for (dimension_type i = 0; i < old_num_rows; ++i)
- rows[i].resize(num_columns);
- }
- } else
- if (num_columns_ != num_columns) {
- num_columns_ = num_columns;
- for (dimension_type i = 0; i < num_rows; ++i)
- rows[i].resize(num_columns);
- }
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Matrix<Row>::permute_columns(const std::vector<dimension_type>& cycles) {
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
- const dimension_type n = cycles.size();
- PPL_ASSERT(cycles[n - 1] == 0);
- for (dimension_type k = num_rows(); k-- > 0; ) {
- Row& rows_k = (*this)[k];
- for (dimension_type i = 0, j = 0; i < n; i = ++j) {
- // Make `j' be the index of the next cycle terminator.
- while (cycles[j] != 0)
- ++j;
- // Cycles of length less than 2 are not allowed.
- PPL_ASSERT(j - i >= 2);
- if (j - i == 2)
- // For cycles of length 2 no temporary is needed, just a swap.
- rows_k.swap_coefficients(cycles[i], cycles[i + 1]);
- else {
- // Longer cycles need a temporary.
- tmp = rows_k.get(cycles[j - 1]);
- for (dimension_type l = (j - 1); l > i; --l)
- rows_k.swap_coefficients(cycles[l-1], cycles[l]);
- if (tmp == 0)
- rows_k.reset(cycles[i]);
- else {
- using std::swap;
- swap(tmp, rows_k[cycles[i]]);
- }
- }
- }
- }
-}
-
-template <typename Row>
-void
-Matrix<Row>::swap_columns(dimension_type i, dimension_type j) {
- for (dimension_type k = num_rows(); k-- > 0; )
- (*this)[k].swap_coefficients(i, j);
-}
-
-template <typename Row>
-void
-Matrix<Row>::add_zero_columns(dimension_type n, dimension_type i) {
- for (dimension_type j = rows.size(); j-- > 0; )
- rows[j].add_zeroes_and_shift(n, i);
- num_columns_ += n;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Matrix<Row>::remove_column(dimension_type i) {
- for (dimension_type j = rows.size(); j-- > 0; )
- rows[j].delete_element_and_shift(i);
- --num_columns_;
- PPL_ASSERT(OK());
-}
-
-template <typename Row>
-void
-Matrix<Row>::ascii_dump(std::ostream& s) const {
- s << num_rows() << " x ";
- s << num_columns() << "\n";
- for (const_iterator i = begin(), i_end = end(); i !=i_end; ++i)
- i->ascii_dump(s);
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(Row, Matrix<Row>)
-
-template <typename Row>
-bool
-Matrix<Row>::ascii_load(std::istream& s) {
- std::string str;
- dimension_type new_num_rows;
- dimension_type new_num_cols;
- if (!(s >> new_num_rows))
- return false;
- if (!(s >> str) || str != "x")
- return false;
- if (!(s >> new_num_cols))
- return false;
-
- for (iterator i = rows.begin(), i_end = rows.end(); i != i_end; ++i)
- i->clear();
-
- resize(new_num_rows, new_num_cols);
-
- for (dimension_type row = 0; row < new_num_rows; ++row)
- if (!rows[row].ascii_load(s))
- return false;
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename Row>
-memory_size_type
-Matrix<Row>::external_memory_in_bytes() const {
- return rows.external_memory_in_bytes();
-}
-
-template <typename Row>
-bool
-Matrix<Row>::OK() const {
- for (const_iterator i = begin(), i_end = end(); i != i_end; ++i)
- if (i->size() != num_columns_)
- return false;
- return true;
-}
-
-/*! \relates Parma_Polyhedra_Library::Matrix */
-template <typename Row>
-bool
-operator==(const Matrix<Row>& x, const Matrix<Row>& y) {
- if (x.num_rows() != y.num_rows())
- return false;
- if (x.num_columns() != y.num_columns())
- return false;
- for (dimension_type i = x.num_rows(); i-- > 0; )
- if (x[i] != y[i])
- return false;
- return true;
-}
-
-/*! \relates Parma_Polyhedra_Library::Matrix */
-template <typename Row>
-bool
-operator!=(const Matrix<Row>& x, const Matrix<Row>& y) {
- return !(x == y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Matrix_templates_hh)
diff --git a/src/Matrix.types.hh b/src/Matrix.types.hh
deleted file mode 100644
index a0027dd..0000000
--- a/src/Matrix.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Matrix_types_hh
-#define PPL_Matrix_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Row>
-class Matrix;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Matrix_types_hh)
diff --git a/src/Matrix_defs.hh b/src/Matrix_defs.hh
new file mode 100644
index 0000000..02743b7
--- /dev/null
+++ b/src/Matrix_defs.hh
@@ -0,0 +1,437 @@
+/* Matrix class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Matrix_defs_hh
+#define PPL_Matrix_defs_hh 1
+
+#include "Matrix_types.hh"
+#include "globals_defs.hh"
+#include "Coefficient_defs.hh"
+#include "Swapping_Vector_defs.hh"
+#include <ostream>
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A sparse matrix of Coefficient.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+class Parma_Polyhedra_Library::Matrix {
+
+public:
+ typedef typename Swapping_Vector<Row>::iterator iterator;
+ typedef typename Swapping_Vector<Row>::const_iterator const_iterator;
+
+ //! Returns the maximum number of rows of a Sparse_Matrix.
+ static dimension_type max_num_rows();
+
+ //! Returns the maximum number of columns of a Sparse_Matrix.
+ static dimension_type max_num_columns();
+
+ /*!
+ \brief Constructs a square matrix with the given size, filled with
+ unstored zeroes.
+
+ \param n
+ The size of the new square matrix.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ explicit Matrix(dimension_type n = 0);
+
+ /*!
+ \brief Constructs a matrix with the given dimensions, filled with unstored
+ zeroes.
+
+ \param num_rows
+ The number of rows in the new matrix.
+
+ \param num_columns
+ The number of columns in the new matrix.
+
+ This method takes \f$O(n)\f$ time, where n is \p num_rows.
+ */
+ Matrix(dimension_type num_rows, dimension_type num_columns);
+
+ //! Swaps (*this) with x.
+ /*!
+
+ \param x
+ The matrix that will be swapped with *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void m_swap(Matrix& x);
+
+ //! Returns the number of rows in the matrix.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ dimension_type num_rows() const;
+
+ //! Returns the number of columns in the matrix.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ dimension_type num_columns() const;
+
+ // TODO: Check if this can be removed.
+ //! Returns the capacity of the row vector.
+ dimension_type capacity() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this has no rows.
+ /*!
+ \note
+ The unusual naming for this method is \em intentional:
+ we do not want it to be named \c empty because this would cause
+ an error prone name clash with the corresponding methods in derived
+ classes Constraint_System and Congruence_System (which have a
+ different semantics).
+ */
+ bool has_no_rows() const;
+
+ //! Equivalent to resize(n, n).
+ void resize(dimension_type n);
+
+ // TODO: Check if this can become private.
+ //! Reserves space for at least \p n rows.
+ void reserve_rows(dimension_type n);
+
+ //! Resizes this matrix to the specified dimensions.
+ /*!
+
+ \param num_rows
+ The desired numer of rows.
+
+ \param num_columns
+ The desired numer of columns.
+
+ New rows and columns will contain non-stored zeroes.
+
+ This operation invalidates existing iterators.
+
+ Adding n rows takes \f$O(n)\f$ amortized time.
+
+ Adding n columns takes \f$O(r)\f$ time, where r is \p num_rows.
+
+ Removing n rows takes \f$O(n+k)\f$ amortized time, where k is the total
+ number of elements stored in the removed rows.
+
+ Removing n columns takes \f$O(\sum_{j=1}^{r} (k_j*\log^2 n_j))\f$ time,
+ where r is the number of rows, \f$k_j\f$ is the number of elements stored
+ in the columns of the j-th row that must be removed and \f$n_j\f$ is the
+ total number of elements stored in the j-th row.
+ A weaker (but simpler) bound is \f$O(r+k*\log^2 c)\f$, where r is the
+ number of rows, k is the number of elements that have to be removed and c
+ is the number of columns.
+ */
+ void resize(dimension_type num_rows, dimension_type num_columns);
+
+ //! Adds \p n rows and \p m columns of zeroes to the matrix.
+ /*!
+ \param n
+ The number of rows to be added: must be strictly positive.
+
+ \param m
+ The number of columns to be added: must be strictly positive.
+
+ Turns the \f$r \times c\f$ matrix \f$M\f$ into
+ the \f$(r+n) \times (c+m)\f$ matrix
+ \f$\bigl(\genfrac{}{}{0pt}{}{M}{0} \genfrac{}{}{0pt}{}{0}{0}\bigr)\f$.
+ The matrix is expanded avoiding reallocation whenever possible.
+
+ This method takes \f$O(r)\f$ time, where r is the number of the matrix's
+ rows after the operation.
+ */
+ void add_zero_rows_and_columns(dimension_type n, dimension_type m);
+
+ //! Adds to the matrix \p n rows of zeroes.
+ /*!
+ \param n
+ The number of rows to be added: must be strictly positive.
+
+ Turns the \f$r \times c\f$ matrix \f$M\f$ into
+ the \f$(r+n) \times c\f$ matrix \f$\genfrac{(}{)}{0pt}{}{M}{0}\f$.
+ The matrix is expanded avoiding reallocation whenever possible.
+
+ This method takes \f$O(k)\f$ amortized time, where k is the number of the
+ new rows.
+ */
+ void add_zero_rows(dimension_type n);
+
+ //! Adds a copy of the row \p x at the end of the matrix.
+ /*!
+
+ \param x
+ The row that will be appended to the matrix.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(n)\f$ amortized time, where n is the numer of
+ elements stored in \p x.
+ */
+ void add_row(const Row& x);
+
+ //! Adds the row \p y to the matrix.
+ /*!
+ \param y
+ The row to be added: it must have the same size and capacity as
+ \p *this. It is not declared <CODE>const</CODE> because its
+ data-structures will recycled to build the new matrix row.
+
+ Turns the \f$r \times c\f$ matrix \f$M\f$ into
+ the \f$(r+1) \times c\f$ matrix
+ \f$\genfrac{(}{)}{0pt}{}{M}{y}\f$.
+ The matrix is expanded avoiding reallocation whenever possible.
+ */
+ void add_recycled_row(Row& y);
+
+ /*! \brief
+ Removes from the matrix the last \p n rows.
+
+ \param n
+ The number of row that will be removed.
+
+ It is equivalent to num_rows() - n, num_columns()).
+
+ This method takes \f$O(n+k)\f$ amortized time, where k is the total number
+ of elements stored in the removed rows and n is the number of removed
+ rows.
+ */
+ void remove_trailing_rows(dimension_type n);
+
+ void remove_rows(iterator first, iterator last);
+
+ //! Permutes the columns of the matrix.
+ /*!
+ This method may be slow for some Row types, and should be avoided if
+ possible.
+
+ \param cycles
+ A vector representing the non-trivial cycles of the permutation
+ according to which the columns must be rearranged.
+
+ The \p cycles vector contains, one after the other, the
+ non-trivial cycles (i.e., the cycles of length greater than one)
+ of a permutation of \e non-zero column indexes. Each cycle is
+ terminated by zero. For example, assuming the matrix has 7
+ columns, the permutation \f$ \{ 1 \mapsto 3, 2 \mapsto 4,
+ 3 \mapsto 6, 4 \mapsto 2, 5 \mapsto 5, 6 \mapsto 1 \}\f$ can be
+ represented by the non-trivial cycles \f$(1 3 6)(2 4)\f$ that, in
+ turn can be represented by a vector of 6 elements containing 1, 3,
+ 6, 0, 2, 4, 0.
+
+ This method takes \f$O(k*\sum_{j=1}^{r} \log^2 n_j)\f$ expected time,
+ where k is the size of the \p cycles vector, r the number of rows and
+ \f$n_j\f$ the number of elements stored in row j.
+ A weaker (but simpler) bound is \f$O(k*r*\log^2 c)\f$, where k is the size
+ of the \p cycles vector, r is the number of rows and c is the number of
+ columns.
+
+ \note
+ The first column of the matrix, having index zero, is never involved
+ in a permutation.
+ */
+ void permute_columns(const std::vector<dimension_type>& cycles);
+
+ //! Swaps the columns having indexes \p i and \p j.
+ void swap_columns(dimension_type i, dimension_type j);
+
+ //! Adds \p n columns of zeroes to the matrix.
+ /*!
+ \param n
+ The number of columns to be added: must be strictly positive.
+
+ Turns the \f$r \times c\f$ matrix \f$M\f$ into
+ the \f$r \times (c+n)\f$ matrix \f$(M \, 0)\f$.
+
+ This method takes \f$O(r)\f$ amortized time, where r is the numer of the
+ matrix's rows.
+ */
+ void add_zero_columns(dimension_type n);
+
+ //! Adds \p n columns of non-stored zeroes to the matrix before column i.
+ /*!
+
+ \param n
+ The numer of columns that will be added.
+
+ \param i
+ The index of the column before which the new columns will be added.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\sum_{j=1}^{r} (k_j+\log n_j))\f$ time, where r is
+ the number of rows, \f$k_j\f$ is the number of elements stored in the
+ columns of the j-th row that must be shifted and \f$n_j\f$ is the number
+ of elements stored in the j-th row.
+ A weaker (but simpler) bound is \f$O(k+r*\log c)\f$ time, where k is the
+ number of elements that must be shifted, r is the number of the rows and c
+ is the number of the columns.
+ */
+ void add_zero_columns(dimension_type n, dimension_type i);
+
+ //! Removes the i-th from the matrix, shifting other columns to the left.
+ /*!
+
+ \param i
+ The index of the column that will be removed.
+
+ This operation invalidates existing iterators on rows' elements.
+
+ This method takes \f$O(k + \sum_{j=1}^{r} (\log^2 n_j))\f$ amortized time,
+ where k is the number of elements stored with column index greater than i,
+ r the number of rows in this matrix and \f$n_j\f$ the number of elements
+ stored in row j.
+ A weaker (but simpler) bound is \f$O(r*(c-i+\log^2 c))\f$, where r is the
+ number of rows, c is the number of columns and i is the parameter passed
+ to this method.
+ */
+ void remove_column(dimension_type i);
+
+ //! Shrinks the matrix by removing its \p n trailing columns.
+ /*!
+
+ \param n
+ The number of trailing columns that will be removed.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\sum_{j=1}^r (k_j*\log n_j))\f$ amortized time,
+ where r is the number of rows, \f$k_j\f$ is the number of elements that
+ have to be removed from row j and \f$n_j\f$ is the total number of
+ elements stored in row j.
+ A weaker (but simpler) bound is \f$O(r*n*\log c)\f$, where r is the number
+ of rows, c the number of columns and n the parameter passed to this
+ method.
+ */
+ void remove_trailing_columns(dimension_type n);
+
+ //! Equivalent to resize(0,0).
+ void clear();
+
+ //! Returns an %iterator pointing to the first row.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator begin();
+
+ //! Returns an %iterator pointing after the last row.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator end();
+
+ //! Returns an %iterator pointing to the first row.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator begin() const;
+
+ //! Returns an %iterator pointing after the last row.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator end() const;
+
+ //! Returns a reference to the i-th row.
+ /*!
+ \param i
+ The index of the desired row.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ Row& operator[](dimension_type i);
+
+ //! Returns a const reference to the i-th row.
+ /*!
+ \param i
+ The index of the desired row.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const Row& operator[](dimension_type i) const;
+
+ //! Loads the row from an ASCII representation generated using ascii_dump().
+ /*!
+ \param s
+ The stream from which read the ASCII representation.
+
+ This method takes \f$O(n*\log n)\f$ time.
+ */
+ bool ascii_load(std::istream& s);
+
+ PPL_OUTPUT_DECLARATIONS
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ /*!
+ This method is \f$O(r+k)\f$, where r is the number of rows and k is the
+ number of elements stored in the matrix.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ This method is \f$O(r+k)\f$, where r is the number of rows and k is the
+ number of elements stored in the matrix.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+private:
+ //! The vector that stores the matrix's elements.
+ Swapping_Vector<Row> rows;
+
+ //! The number of columns in this matrix.
+ dimension_type num_columns_;
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+void swap(Matrix<Row>& x, Matrix<Row>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+bool operator==(const Matrix<Row>& x, const Matrix<Row>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Row>
+bool operator!=(const Matrix<Row>& x, const Matrix<Row>& y);
+
+} // namespace Parma_Polyhedra_Library
+
+
+#include "Matrix_inlines.hh"
+#include "Matrix_templates.hh"
+
+#endif // !defined(PPL_Matrix_defs_hh)
diff --git a/src/Matrix_inlines.hh b/src/Matrix_inlines.hh
new file mode 100644
index 0000000..1e7bee9
--- /dev/null
+++ b/src/Matrix_inlines.hh
@@ -0,0 +1,200 @@
+/* Matrix class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Matrix_inlines_hh
+#define PPL_Matrix_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+inline dimension_type
+Matrix<Row>::max_num_rows() {
+ return std::vector<Row>().max_size();
+}
+
+template <typename Row>
+inline dimension_type
+Matrix<Row>::max_num_columns() {
+ return Row::max_size();
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::m_swap(Matrix& x) {
+ using std::swap;
+ swap(rows, x.rows);
+ swap(num_columns_, x.num_columns_);
+}
+
+template <typename Row>
+inline dimension_type
+Matrix<Row>::num_rows() const {
+ return rows.size();
+}
+
+template <typename Row>
+inline dimension_type
+Matrix<Row>::num_columns() const {
+ return num_columns_;
+}
+
+template <typename Row>
+inline dimension_type
+Matrix<Row>::capacity() const {
+ return rows.capacity();
+}
+
+template <typename Row>
+inline bool
+Matrix<Row>::has_no_rows() const {
+ return num_rows() == 0;
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::resize(dimension_type n) {
+ resize(n, n);
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::reserve_rows(dimension_type requested_capacity) {
+
+ rows.reserve(requested_capacity);
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::add_zero_rows_and_columns(dimension_type n, dimension_type m) {
+ resize(num_rows() + n, num_columns() + m);
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::add_zero_rows(dimension_type n) {
+ resize(num_rows() + n, num_columns());
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::add_row(const Row& x) {
+ // TODO: Optimize this.
+ Row row(x);
+ add_zero_rows(1);
+ // Now x may have been invalidated, if it was a row of this matrix.
+ swap(rows.back(), row);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::add_recycled_row(Row& x) {
+ add_zero_rows(1);
+ swap(rows.back(), x);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::remove_trailing_rows(dimension_type n) {
+ resize(num_rows() - n, num_columns());
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::remove_rows(iterator first, iterator last) {
+ rows.erase(first, last);
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::add_zero_columns(dimension_type n) {
+ resize(num_rows(), num_columns() + n);
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::remove_trailing_columns(dimension_type n) {
+ PPL_ASSERT(n <= num_columns());
+ resize(num_rows(), num_columns() - n);
+}
+
+template <typename Row>
+inline void
+Matrix<Row>::clear() {
+ resize(0, 0);
+}
+
+template <typename Row>
+inline typename Matrix<Row>::iterator
+Matrix<Row>::begin() {
+ return rows.begin();
+}
+
+template <typename Row>
+inline typename Matrix<Row>::iterator
+Matrix<Row>::end() {
+ return rows.end();
+}
+
+template <typename Row>
+inline typename Matrix<Row>::const_iterator
+Matrix<Row>::begin() const {
+ return rows.begin();
+}
+
+template <typename Row>
+inline typename Matrix<Row>::const_iterator
+Matrix<Row>::end() const {
+ return rows.end();
+}
+
+template <typename Row>
+inline Row&
+Matrix<Row>::operator[](dimension_type i) {
+ PPL_ASSERT(i < rows.size());
+ return rows[i];
+}
+
+template <typename Row>
+inline const Row&
+Matrix<Row>::operator[](dimension_type i) const {
+ PPL_ASSERT(i < rows.size());
+ return rows[i];
+}
+
+template <typename Row>
+inline memory_size_type
+Matrix<Row>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename Row>
+inline void
+swap(Matrix<Row>& x, Matrix<Row>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Matrix_inlines_hh)
diff --git a/src/Matrix_templates.hh b/src/Matrix_templates.hh
new file mode 100644
index 0000000..e091eaa
--- /dev/null
+++ b/src/Matrix_templates.hh
@@ -0,0 +1,202 @@
+/* Matrix class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Matrix_templates_hh
+#define PPL_Matrix_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+Matrix<Row>::Matrix(dimension_type n)
+ : rows(n), num_columns_(n) {
+ for (dimension_type i = 0; i < rows.size(); ++i)
+ rows[i].resize(num_columns_);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+Matrix<Row>::Matrix(dimension_type num_rows, dimension_type num_columns)
+ : rows(num_rows), num_columns_(num_columns) {
+ for (dimension_type i = 0; i < rows.size(); ++i)
+ rows[i].resize(num_columns_);
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Matrix<Row>::resize(dimension_type num_rows, dimension_type num_columns) {
+ const dimension_type old_num_rows = rows.size();
+ rows.resize(num_rows);
+ if (old_num_rows < num_rows) {
+ for (dimension_type i = old_num_rows; i < num_rows; ++i)
+ rows[i].resize(num_columns);
+ if (num_columns_ != num_columns) {
+ num_columns_ = num_columns;
+ for (dimension_type i = 0; i < old_num_rows; ++i)
+ rows[i].resize(num_columns);
+ }
+ }
+ else
+ if (num_columns_ != num_columns) {
+ num_columns_ = num_columns;
+ for (dimension_type i = 0; i < num_rows; ++i)
+ rows[i].resize(num_columns);
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Matrix<Row>::permute_columns(const std::vector<dimension_type>& cycles) {
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+ const dimension_type n = cycles.size();
+ PPL_ASSERT(cycles[n - 1] == 0);
+ for (dimension_type k = num_rows(); k-- > 0; ) {
+ Row& rows_k = (*this)[k];
+ for (dimension_type i = 0, j = 0; i < n; i = ++j) {
+ // Make `j' be the index of the next cycle terminator.
+ while (cycles[j] != 0)
+ ++j;
+ // Cycles of length less than 2 are not allowed.
+ PPL_ASSERT(j - i >= 2);
+ if (j - i == 2)
+ // For cycles of length 2 no temporary is needed, just a swap.
+ rows_k.swap_coefficients(cycles[i], cycles[i + 1]);
+ else {
+ // Longer cycles need a temporary.
+ tmp = rows_k.get(cycles[j - 1]);
+ for (dimension_type l = (j - 1); l > i; --l)
+ rows_k.swap_coefficients(cycles[l-1], cycles[l]);
+ if (tmp == 0)
+ rows_k.reset(cycles[i]);
+ else {
+ using std::swap;
+ swap(tmp, rows_k[cycles[i]]);
+ }
+ }
+ }
+ }
+}
+
+template <typename Row>
+void
+Matrix<Row>::swap_columns(dimension_type i, dimension_type j) {
+ for (dimension_type k = num_rows(); k-- > 0; )
+ (*this)[k].swap_coefficients(i, j);
+}
+
+template <typename Row>
+void
+Matrix<Row>::add_zero_columns(dimension_type n, dimension_type i) {
+ for (dimension_type j = rows.size(); j-- > 0; )
+ rows[j].add_zeroes_and_shift(n, i);
+ num_columns_ += n;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Matrix<Row>::remove_column(dimension_type i) {
+ for (dimension_type j = rows.size(); j-- > 0; )
+ rows[j].delete_element_and_shift(i);
+ --num_columns_;
+ PPL_ASSERT(OK());
+}
+
+template <typename Row>
+void
+Matrix<Row>::ascii_dump(std::ostream& s) const {
+ s << num_rows() << " x ";
+ s << num_columns() << "\n";
+ for (const_iterator i = begin(), i_end = end(); i !=i_end; ++i)
+ i->ascii_dump(s);
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(Row, Matrix<Row>)
+
+template <typename Row>
+bool
+Matrix<Row>::ascii_load(std::istream& s) {
+ std::string str;
+ dimension_type new_num_rows;
+ dimension_type new_num_cols;
+ if (!(s >> new_num_rows))
+ return false;
+ if (!(s >> str) || str != "x")
+ return false;
+ if (!(s >> new_num_cols))
+ return false;
+
+ for (iterator i = rows.begin(), i_end = rows.end(); i != i_end; ++i)
+ i->clear();
+
+ resize(new_num_rows, new_num_cols);
+
+ for (dimension_type row = 0; row < new_num_rows; ++row)
+ if (!rows[row].ascii_load(s))
+ return false;
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename Row>
+memory_size_type
+Matrix<Row>::external_memory_in_bytes() const {
+ return rows.external_memory_in_bytes();
+}
+
+template <typename Row>
+bool
+Matrix<Row>::OK() const {
+ for (const_iterator i = begin(), i_end = end(); i != i_end; ++i)
+ if (i->size() != num_columns_)
+ return false;
+ return true;
+}
+
+/*! \relates Parma_Polyhedra_Library::Matrix */
+template <typename Row>
+bool
+operator==(const Matrix<Row>& x, const Matrix<Row>& y) {
+ if (x.num_rows() != y.num_rows())
+ return false;
+ if (x.num_columns() != y.num_columns())
+ return false;
+ for (dimension_type i = x.num_rows(); i-- > 0; )
+ if (x[i] != y[i])
+ return false;
+ return true;
+}
+
+/*! \relates Parma_Polyhedra_Library::Matrix */
+template <typename Row>
+bool
+operator!=(const Matrix<Row>& x, const Matrix<Row>& y) {
+ return !(x == y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Matrix_templates_hh)
diff --git a/src/Matrix_types.hh b/src/Matrix_types.hh
new file mode 100644
index 0000000..40e0185
--- /dev/null
+++ b/src/Matrix_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Matrix_types_hh
+#define PPL_Matrix_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+class Matrix;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Matrix_types_hh)
diff --git a/src/Multiplication_Floating_Point_Expression.defs.hh b/src/Multiplication_Floating_Point_Expression.defs.hh
deleted file mode 100644
index fde4c27..0000000
--- a/src/Multiplication_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,251 +0,0 @@
-/* Declarations for the Multiplication_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Multiplication_Floating_Point_Expression_defs_hh
-#define PPL_Multiplication_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Multiplication_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Multiplication_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-void
-swap(Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Multiplication Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of multiplication floating-point expressions
-
- Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
- \f$i' + \sum_{v \in \cV}i'_{v}v \f$
- be two linear forms, \f$\aslf\f$ and \f$\amlf\f$ two sound abstract
- operators on linear forms such that:
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v\right)
- \aslf
- \left(i' + \sum_{v \in \cV}i'_{v}v\right)
- =
- \left(i \asifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v}\right)v,
- \f]
- \f[
- i
- \amlf
- \left(i' + \sum_{v \in \cV}i'_{v}v\right)
- =
- \left(i \amifp i'\right)
- + \sum_{v \in \cV}\left(i \amifp i'_{v}\right)v.
- \f]
- Given an expression \f$[a, b] \otimes e_{2}\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{[a, b] \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
- as follows:
- \f[
- \linexprenv{[a, b] \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- =
- \left([a, b]
- \amlf
- \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}\right)
- \aslf
- \left([a, b]
- \amlf
- \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- \right)\right)
- \aslf
- mf_{\mathbf{f}}[-1, 1].
- \f].
-
- Given an expression \f$e_{1} \otimes [a, b]\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{e_{1} \otimes [a, b]}{\rho^{\#}}{\rho^{\#}_l}\f$
- as follows:
- \f[
- \linexprenv{e_{1} \otimes [a, b]}{\rho^{\#}}{\rho^{\#}_l}
- =
- \linexprenv{[a, b] \otimes e_{1}}{\rho^{\#}}{\rho^{\#}_l}.
- \f]
-
- Given an expression \f$e_{1} \otimes e_{2}\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{e_{1} \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
- as follows:
- \f[
- \linexprenv{e_{1} \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- =
- \linexprenv{\iota\left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \right)\rho^{\#}
- \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l},
- \f]
- where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
- calling method <CODE>Floating_Point_Expression::relative_error</CODE>
- on \f$l\f$, \f$\iota(l)\rho^{\#}\f$ is the linear form computed by calling
- method <CODE>Floating_Point_Expression::intervalize</CODE> on \f$l\f$
- and \f$\rho^{\#}\f$, and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
- <CODE>Floating_Point_Expression::absolute_error</CODE>.
-
- Even though we intervalize the first operand in the above example, the
- actual implementation utilizes an heuristics for choosing which of the two
- operands must be intervalized in order to obtain the most precise result.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Multiplication_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /*! \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /*! \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with two parameters: builds the multiplication floating point
- expression corresponding to \p x \f$\otimes\f$ \p y.
- */
- Multiplication_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
-
- //! Destructor.
- ~Multiplication_Floating_Point_Expression();
-
- //@} // Constructors and Destructor.
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Note that all variables occuring in the expressions represented
- by \p first_operand and \p second_operand MUST have an associated value in
- \p int_store. If this precondition is not met, calling the method
- causes an undefined behavior.
-
- See the class description for a detailed explanation of how \p result
- is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Multiplication_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& y);
-
-private:
-
- //! Pointer to the first operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
- //! Pointer to the second operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Multiplication_Floating_Point_Expression(
- const Multiplication_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited assignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
- operator=(const Multiplication_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
-
-}; // class Multiplication_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Multiplication_Floating_Point_Expression.inlines.hh"
-#include "Multiplication_Floating_Point_Expression.templates.hh"
-
-#endif // !defined(PPL_Multiplication_Floating_Point_Expression_defs_hh)
diff --git a/src/Multiplication_Floating_Point_Expression.inlines.hh b/src/Multiplication_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index f6f8c7c..0000000
--- a/src/Multiplication_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,71 +0,0 @@
-/* Multiplication_Floating_Point_Expression class implementation: inline
- functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Multiplication_Floating_Point_Expression_inlines_hh
-#define PPL_Multiplication_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::Multiplication_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y)
- : first_operand(x), second_operand(y) {
- assert(x != 0);
- assert(y != 0);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::~Multiplication_Floating_Point_Expression() {
- delete first_operand;
- delete second_operand;
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Multiplication_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& y) {
- using std::swap;
- swap(first_operand, y.first_operand);
- swap(second_operand, y.second_operand);
-}
-
-/*! \relates Multiplication_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Multiplication_Floating_Point_Expression_inlines_hh)
diff --git a/src/Multiplication_Floating_Point_Expression.templates.hh b/src/Multiplication_Floating_Point_Expression.templates.hh
deleted file mode 100644
index e182317..0000000
--- a/src/Multiplication_Floating_Point_Expression.templates.hh
+++ /dev/null
@@ -1,109 +0,0 @@
-/* Multiplication_Floating_Point_Expression class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Multiplication_Floating_Point_Expression_templates_hh
-#define PPL_Multiplication_Floating_Point_Expression_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-bool Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- /*
- FIXME: We currently adopt the "Interval-Size Local" strategy in order to
- decide which of the two linear forms must be intervalized, as described
- in Section 6.2.4 ("Multiplication Strategies") of Antoine Mine's Ph.D.
- thesis "Weakly Relational Numerical Abstract Domains".
- In this Section are also described other multiplication strategies, such
- as All-Cases, Relative-Size Local, Simplification-Driven Global and
- Homogeneity Global.
- */
-
- // Here we choose which of the two linear forms must be intervalized.
-
- // true if we intervalize the first form, false if we intervalize the second.
- bool intervalize_first;
- FP_Linear_Form linearized_first_operand;
- if (!first_operand->linearize(int_store, lf_store,
- linearized_first_operand))
- return false;
- FP_Interval_Type intervalized_first_operand;
- this->intervalize(linearized_first_operand, int_store,
- intervalized_first_operand);
- FP_Linear_Form linearized_second_operand;
- if (!second_operand->linearize(int_store, lf_store,
- linearized_second_operand))
- return false;
- FP_Interval_Type intervalized_second_operand;
- this->intervalize(linearized_second_operand, int_store,
- intervalized_second_operand);
-
- // FIXME: we are not sure that what we do here is policy-proof.
- if (intervalized_first_operand.is_bounded()) {
- if (intervalized_second_operand.is_bounded()) {
- boundary_type first_interval_size
- = intervalized_first_operand.upper()
- - intervalized_first_operand.lower();
- boundary_type second_interval_size
- = intervalized_second_operand.upper()
- - intervalized_second_operand.lower();
- if (first_interval_size <= second_interval_size)
- intervalize_first = true;
- else
- intervalize_first = false;
- }
- else
- intervalize_first = true;
- }
- else {
- if (intervalized_second_operand.is_bounded())
- intervalize_first = false;
- else
- return false;
- }
-
- // Here we do the actual computation.
- // For optimizing, we store the relative error directly into result.
- if (intervalize_first) {
- relative_error(linearized_second_operand, result);
- linearized_second_operand *= intervalized_first_operand;
- result *= intervalized_first_operand;
- result += linearized_second_operand;
- }
- else {
- relative_error(linearized_first_operand, result);
- linearized_first_operand *= intervalized_second_operand;
- result *= intervalized_second_operand;
- result += linearized_first_operand;
- }
-
- result += this->absolute_error;
- return !this->overflows(result);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Multiplication_Floating_Point_Expression_templates_hh)
diff --git a/src/Multiplication_Floating_Point_Expression.types.hh b/src/Multiplication_Floating_Point_Expression.types.hh
deleted file mode 100644
index b4c0b65..0000000
--- a/src/Multiplication_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Multiplication_Floating_Point_Expression_types_hh
-#define PPL_Multiplication_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Multiplication_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Multiplication_Floating_Point_Expression_types_hh)
diff --git a/src/Multiplication_Floating_Point_Expression_defs.hh b/src/Multiplication_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..d660399
--- /dev/null
+++ b/src/Multiplication_Floating_Point_Expression_defs.hh
@@ -0,0 +1,251 @@
+/* Declarations for the Multiplication_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Multiplication_Floating_Point_Expression_defs_hh
+#define PPL_Multiplication_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Multiplication_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Multiplication_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+void
+swap(Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Multiplication Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of multiplication floating-point expressions
+
+ Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
+ \f$i' + \sum_{v \in \cV}i'_{v}v \f$
+ be two linear forms, \f$\aslf\f$ and \f$\amlf\f$ two sound abstract
+ operators on linear forms such that:
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v\right)
+ \aslf
+ \left(i' + \sum_{v \in \cV}i'_{v}v\right)
+ =
+ \left(i \asifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v}\right)v,
+ \f]
+ \f[
+ i
+ \amlf
+ \left(i' + \sum_{v \in \cV}i'_{v}v\right)
+ =
+ \left(i \amifp i'\right)
+ + \sum_{v \in \cV}\left(i \amifp i'_{v}\right)v.
+ \f]
+ Given an expression \f$[a, b] \otimes e_{2}\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{[a, b] \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
+ as follows:
+ \f[
+ \linexprenv{[a, b] \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \left([a, b]
+ \amlf
+ \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}\right)
+ \aslf
+ \left([a, b]
+ \amlf
+ \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)\right)
+ \aslf
+ mf_{\mathbf{f}}[-1, 1].
+ \f].
+
+ Given an expression \f$e_{1} \otimes [a, b]\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{e_{1} \otimes [a, b]}{\rho^{\#}}{\rho^{\#}_l}\f$
+ as follows:
+ \f[
+ \linexprenv{e_{1} \otimes [a, b]}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \linexprenv{[a, b] \otimes e_{1}}{\rho^{\#}}{\rho^{\#}_l}.
+ \f]
+
+ Given an expression \f$e_{1} \otimes e_{2}\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{e_{1} \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
+ as follows:
+ \f[
+ \linexprenv{e_{1} \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \linexprenv{\iota\left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)\rho^{\#}
+ \otimes e_{2}}{\rho^{\#}}{\rho^{\#}_l},
+ \f]
+ where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
+ calling method <CODE>Floating_Point_Expression::relative_error</CODE>
+ on \f$l\f$, \f$\iota(l)\rho^{\#}\f$ is the linear form computed by calling
+ method <CODE>Floating_Point_Expression::intervalize</CODE> on \f$l\f$
+ and \f$\rho^{\#}\f$, and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
+ <CODE>Floating_Point_Expression::absolute_error</CODE>.
+
+ Even though we intervalize the first operand in the above example, the
+ actual implementation utilizes an heuristics for choosing which of the two
+ operands must be intervalized in order to obtain the most precise result.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Multiplication_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with two parameters: builds the multiplication floating point
+ expression corresponding to \p x \f$\otimes\f$ \p y.
+ */
+ Multiplication_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
+
+ //! Destructor.
+ ~Multiplication_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor.
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Note that all variables occuring in the expressions represented
+ by \p first_operand and \p second_operand MUST have an associated value in
+ \p int_store. If this precondition is not met, calling the method
+ causes an undefined behavior.
+
+ See the class description for a detailed explanation of how \p result
+ is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Multiplication_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& y);
+
+private:
+
+ //! Pointer to the first operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
+ //! Pointer to the second operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Multiplication_Floating_Point_Expression(
+ const Multiplication_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited assignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
+ operator=(const Multiplication_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+
+}; // class Multiplication_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Multiplication_Floating_Point_Expression_inlines.hh"
+#include "Multiplication_Floating_Point_Expression_templates.hh"
+
+#endif // !defined(PPL_Multiplication_Floating_Point_Expression_defs_hh)
diff --git a/src/Multiplication_Floating_Point_Expression_inlines.hh b/src/Multiplication_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..4c4ffaf
--- /dev/null
+++ b/src/Multiplication_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,71 @@
+/* Multiplication_Floating_Point_Expression class implementation: inline
+ functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Multiplication_Floating_Point_Expression_inlines_hh
+#define PPL_Multiplication_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::Multiplication_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y)
+ : first_operand(x), second_operand(y) {
+ assert(x != 0);
+ assert(y != 0);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::~Multiplication_Floating_Point_Expression() {
+ delete first_operand;
+ delete second_operand;
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Multiplication_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& y) {
+ using std::swap;
+ swap(first_operand, y.first_operand);
+ swap(second_operand, y.second_operand);
+}
+
+/*! \relates Multiplication_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Multiplication_Floating_Point_Expression_inlines_hh)
diff --git a/src/Multiplication_Floating_Point_Expression_templates.hh b/src/Multiplication_Floating_Point_Expression_templates.hh
new file mode 100644
index 0000000..762d7bd
--- /dev/null
+++ b/src/Multiplication_Floating_Point_Expression_templates.hh
@@ -0,0 +1,109 @@
+/* Multiplication_Floating_Point_Expression class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Multiplication_Floating_Point_Expression_templates_hh
+#define PPL_Multiplication_Floating_Point_Expression_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+bool Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ /*
+ FIXME: We currently adopt the "Interval-Size Local" strategy in order to
+ decide which of the two linear forms must be intervalized, as described
+ in Section 6.2.4 ("Multiplication Strategies") of Antoine Mine's Ph.D.
+ thesis "Weakly Relational Numerical Abstract Domains".
+ In this Section are also described other multiplication strategies, such
+ as All-Cases, Relative-Size Local, Simplification-Driven Global and
+ Homogeneity Global.
+ */
+
+ // Here we choose which of the two linear forms must be intervalized.
+
+ // true if we intervalize the first form, false if we intervalize the second.
+ bool intervalize_first;
+ FP_Linear_Form linearized_first_operand;
+ if (!first_operand->linearize(int_store, lf_store,
+ linearized_first_operand))
+ return false;
+ FP_Interval_Type intervalized_first_operand;
+ this->intervalize(linearized_first_operand, int_store,
+ intervalized_first_operand);
+ FP_Linear_Form linearized_second_operand;
+ if (!second_operand->linearize(int_store, lf_store,
+ linearized_second_operand))
+ return false;
+ FP_Interval_Type intervalized_second_operand;
+ this->intervalize(linearized_second_operand, int_store,
+ intervalized_second_operand);
+
+ // FIXME: we are not sure that what we do here is policy-proof.
+ if (intervalized_first_operand.is_bounded()) {
+ if (intervalized_second_operand.is_bounded()) {
+ boundary_type first_interval_size
+ = intervalized_first_operand.upper()
+ - intervalized_first_operand.lower();
+ boundary_type second_interval_size
+ = intervalized_second_operand.upper()
+ - intervalized_second_operand.lower();
+ if (first_interval_size <= second_interval_size)
+ intervalize_first = true;
+ else
+ intervalize_first = false;
+ }
+ else
+ intervalize_first = true;
+ }
+ else {
+ if (intervalized_second_operand.is_bounded())
+ intervalize_first = false;
+ else
+ return false;
+ }
+
+ // Here we do the actual computation.
+ // For optimizing, we store the relative error directly into result.
+ if (intervalize_first) {
+ relative_error(linearized_second_operand, result);
+ linearized_second_operand *= intervalized_first_operand;
+ result *= intervalized_first_operand;
+ result += linearized_second_operand;
+ }
+ else {
+ relative_error(linearized_first_operand, result);
+ linearized_first_operand *= intervalized_second_operand;
+ result *= intervalized_second_operand;
+ result += linearized_first_operand;
+ }
+
+ result += this->absolute_error;
+ return !this->overflows(result);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Multiplication_Floating_Point_Expression_templates_hh)
diff --git a/src/Multiplication_Floating_Point_Expression_types.hh b/src/Multiplication_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..5e00f29
--- /dev/null
+++ b/src/Multiplication_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Multiplication_Floating_Point_Expression_types_hh
+#define PPL_Multiplication_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Multiplication_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Multiplication_Floating_Point_Expression_types_hh)
diff --git a/src/NNC_Polyhedron.cc b/src/NNC_Polyhedron.cc
index e20ca76..65fb421 100644
--- a/src/NNC_Polyhedron.cc
+++ b/src/NNC_Polyhedron.cc
@@ -1,6 +1,6 @@
/* NNC_Polyhedron class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,9 +22,9 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "NNC_Polyhedron.defs.hh"
-#include "C_Polyhedron.defs.hh"
-#include "Grid.defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "Grid_defs.hh"
#include "algorithms.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -43,7 +43,7 @@ PPL::NNC_Polyhedron::NNC_Polyhedron(const Congruence_System& cgs)
"the space dimension of cgs "
"exceeds the maximum allowed "
"space dimension"),
- UNIVERSE) {
+ UNIVERSE) {
add_congruences(cgs);
PPL_ASSERT_HEAVY(OK());
}
@@ -56,7 +56,7 @@ PPL::NNC_Polyhedron::NNC_Polyhedron(Congruence_System& cgs, Recycle_Input)
"the space dimension of cgs "
"exceeds the maximum allowed "
"space dimension"),
- UNIVERSE) {
+ UNIVERSE) {
add_congruences(cgs);
PPL_ASSERT_HEAVY(OK());
}
@@ -69,7 +69,7 @@ PPL::NNC_Polyhedron::NNC_Polyhedron(const Grid& grid, Complexity_Class)
"the space dimension of grid "
"exceeds the maximum allowed "
"space dimension"),
- UNIVERSE) {
+ UNIVERSE) {
add_constraints(grid.constraints());
}
diff --git a/src/NNC_Polyhedron.defs.hh b/src/NNC_Polyhedron.defs.hh
deleted file mode 100644
index 19ba641..0000000
--- a/src/NNC_Polyhedron.defs.hh
+++ /dev/null
@@ -1,256 +0,0 @@
-/* NNC_Polyhedron class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_NNC_Polyhedron_defs_hh
-#define PPL_NNC_Polyhedron_defs_hh 1
-
-#include "C_Polyhedron.types.hh"
-#include "NNC_Polyhedron.types.hh"
-#include "Polyhedron.defs.hh"
-#include "Grid.types.hh"
-
-//! A not necessarily closed convex polyhedron.
-/*! \ingroup PPL_CXX_interface
- An object of the class NNC_Polyhedron represents a
- <EM>not necessarily closed</EM> (NNC) convex polyhedron
- in the vector space \f$\Rset^n\f$.
-
- \note
- Since NNC polyhedra are a generalization of closed polyhedra,
- any object of the class C_Polyhedron can be (explicitly) converted
- into an object of the class NNC_Polyhedron.
- The reason for defining two different classes is that objects of
- the class C_Polyhedron are characterized by a more efficient
- implementation, requiring less time and memory resources.
-*/
-class Parma_Polyhedra_Library::NNC_Polyhedron : public Polyhedron {
-public:
- //! Builds either the universe or the empty NNC polyhedron.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the NNC polyhedron;
-
- \param kind
- Specifies whether a universe or an empty NNC polyhedron should be built.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space dimension.
-
- Both parameters are optional:
- by default, a 0-dimension space universe NNC polyhedron is built.
- */
- explicit NNC_Polyhedron(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Builds an NNC polyhedron from a system of constraints.
- /*!
- The polyhedron inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints defining the polyhedron.
- */
- explicit NNC_Polyhedron(const Constraint_System& cs);
-
- //! Builds an NNC polyhedron recycling a system of constraints.
- /*!
- The polyhedron inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
- */
- NNC_Polyhedron(Constraint_System& cs, Recycle_Input dummy);
-
- //! Builds an NNC polyhedron from a system of generators.
- /*!
- The polyhedron inherits the space dimension of the generator system.
-
- \param gs
- The system of generators defining the polyhedron.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
- */
- explicit NNC_Polyhedron(const Generator_System& gs);
-
- //! Builds an NNC polyhedron recycling a system of generators.
- /*!
- The polyhedron inherits the space dimension of the generator system.
-
- \param gs
- The system of generators defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
- */
- NNC_Polyhedron(Generator_System& gs, Recycle_Input dummy);
-
- //! Builds an NNC polyhedron from a system of congruences.
- /*!
- The polyhedron inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
- */
- explicit NNC_Polyhedron(const Congruence_System& cgs);
-
- //! Builds an NNC polyhedron recycling a system of congruences.
- /*!
- The polyhedron inherits the space dimension of the congruence
- system.
-
- \param cgs
- The system of congruences defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
- */
- NNC_Polyhedron(Congruence_System& cgs, Recycle_Input dummy);
-
- //! Builds an NNC polyhedron from the C polyhedron \p y.
- /*!
- \param y
- The C polyhedron to be used;
-
- \param complexity
- This argument is ignored.
- */
- explicit NNC_Polyhedron(const C_Polyhedron& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds an NNC polyhedron out of a box.
- /*!
- The polyhedron inherits the space dimension of the box
- and is the most precise that includes the box.
-
- \param box
- The box representing the polyhedron to be built;
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum allowed
- space dimension.
- */
- template <typename Interval>
- explicit NNC_Polyhedron(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds an NNC polyhedron out of a grid.
- /*!
- The polyhedron inherits the space dimension of the grid
- and is the most precise that includes the grid.
-
- \param grid
- The grid used to build the polyhedron.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
- */
- explicit NNC_Polyhedron(const Grid& grid,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a NNC polyhedron out of a BD shape.
- /*!
- The polyhedron inherits the space dimension of the BD shape
- and is the most precise that includes the BD shape.
-
- \param bd
- The BD shape used to build the polyhedron.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
- */
- template <typename U>
- explicit NNC_Polyhedron(const BD_Shape<U>& bd,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a NNC polyhedron out of an octagonal shape.
- /*!
- The polyhedron inherits the space dimension of the octagonal shape
- and is the most precise that includes the octagonal shape.
-
- \param os
- The octagonal shape used to build the polyhedron.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
- */
- template <typename U>
- explicit NNC_Polyhedron(const Octagonal_Shape<U>& os,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Ordinary copy constructor.
- NNC_Polyhedron(const NNC_Polyhedron& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator.
- (\p *this and \p y can be dimension-incompatible.)
- */
- NNC_Polyhedron& operator=(const NNC_Polyhedron& y);
-
- //! Assigns to \p *this the C polyhedron \p y.
- NNC_Polyhedron& operator=(const C_Polyhedron& y);
-
- //! Destructor.
- ~NNC_Polyhedron();
-
- /*! \brief
- If the poly-hull of \p *this and \p y is exact it is assigned
- to \p *this and <CODE>true</CODE> is returned,
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool poly_hull_assign_if_exact(const NNC_Polyhedron& y);
-
- //! Same as poly_hull_assign_if_exact(y).
- bool upper_bound_assign_if_exact(const NNC_Polyhedron& y);
-};
-
-#include "NNC_Polyhedron.inlines.hh"
-
-#endif // !defined(PPL_NNC_Polyhedron_defs_hh)
diff --git a/src/NNC_Polyhedron.inlines.hh b/src/NNC_Polyhedron.inlines.hh
deleted file mode 100644
index 33ca6bd..0000000
--- a/src/NNC_Polyhedron.inlines.hh
+++ /dev/null
@@ -1,153 +0,0 @@
-/* NNC_Polyhedron class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_NNC_Polyhedron_inlines_hh
-#define PPL_NNC_Polyhedron_inlines_hh 1
-
-#include "C_Polyhedron.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline
-NNC_Polyhedron::~NNC_Polyhedron() {
-}
-
-inline
-NNC_Polyhedron::NNC_Polyhedron(dimension_type num_dimensions,
- Degenerate_Element kind)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_space_dimension_overflow(num_dimensions,
- NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(n, k)",
- "n exceeds the maximum "
- "allowed space dimension"),
- kind) {
-}
-
-inline
-NNC_Polyhedron::NNC_Polyhedron(const Constraint_System& cs)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(cs, NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(cs)",
- "the space dimension of cs "
- "exceeds the maximum allowed "
- "space dimension")) {
-}
-
-inline
-NNC_Polyhedron::NNC_Polyhedron(Constraint_System& cs, Recycle_Input)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(cs, NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(cs, recycle)",
- "the space dimension of cs "
- "exceeds the maximum allowed "
- "space dimension"),
- Recycle_Input()) {
-}
-
-inline
-NNC_Polyhedron::NNC_Polyhedron(const Generator_System& gs)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(gs, NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(gs)",
- "the space dimension of gs "
- "exceeds the maximum allowed "
- "space dimension")) {
-}
-
-inline
-NNC_Polyhedron::NNC_Polyhedron(Generator_System& gs, Recycle_Input)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(gs, NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(gs, recycle)",
- "the space dimension of gs "
- "exceeds the maximum allowed "
- "space dimension"),
- Recycle_Input()) {
-}
-
-template <typename Interval>
-inline
-NNC_Polyhedron::NNC_Polyhedron(const Box<Interval>& box, Complexity_Class)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_obj_space_dimension_overflow(box, NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(box)",
- "the space dimension of box "
- "exceeds the maximum allowed "
- "space dimension")) {
-}
-
-template <typename U>
-inline
-NNC_Polyhedron::NNC_Polyhedron(const BD_Shape<U>& bd, Complexity_Class)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_space_dimension_overflow(bd.space_dimension(),
- NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(bd)",
- "the space dimension of bd "
- "exceeds the maximum allowed "
- "space dimension"),
- UNIVERSE) {
- add_constraints(bd.constraints());
-}
-
-template <typename U>
-inline
-NNC_Polyhedron::NNC_Polyhedron(const Octagonal_Shape<U>& os, Complexity_Class)
- : Polyhedron(NOT_NECESSARILY_CLOSED,
- check_space_dimension_overflow(os.space_dimension(),
- NOT_NECESSARILY_CLOSED,
- "NNC_Polyhedron(os)",
- "the space dimension of os "
- "exceeds the maximum allowed "
- "space dimension"),
- UNIVERSE) {
- add_constraints(os.constraints());
-}
-
-inline
-NNC_Polyhedron::NNC_Polyhedron(const NNC_Polyhedron& y, Complexity_Class)
- : Polyhedron(y) {
-}
-
-inline NNC_Polyhedron&
-NNC_Polyhedron::operator=(const NNC_Polyhedron& y) {
- Polyhedron::operator=(y);
- return *this;
-}
-
-inline NNC_Polyhedron&
-NNC_Polyhedron::operator=(const C_Polyhedron& y) {
- NNC_Polyhedron nnc_y(y);
- m_swap(nnc_y);
- return *this;
-}
-
-inline bool
-NNC_Polyhedron::upper_bound_assign_if_exact(const NNC_Polyhedron& y) {
- return poly_hull_assign_if_exact(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_NNC_Polyhedron_inlines_hh)
diff --git a/src/NNC_Polyhedron.types.hh b/src/NNC_Polyhedron.types.hh
deleted file mode 100644
index 5eb28b2..0000000
--- a/src/NNC_Polyhedron.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_NNC_Polyhedron_types_hh
-#define PPL_NNC_Polyhedron_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class NNC_Polyhedron;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_NNC_Polyhedron_types_hh)
diff --git a/src/NNC_Polyhedron_defs.hh b/src/NNC_Polyhedron_defs.hh
new file mode 100644
index 0000000..67c7850
--- /dev/null
+++ b/src/NNC_Polyhedron_defs.hh
@@ -0,0 +1,256 @@
+/* NNC_Polyhedron class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_NNC_Polyhedron_defs_hh
+#define PPL_NNC_Polyhedron_defs_hh 1
+
+#include "C_Polyhedron_types.hh"
+#include "NNC_Polyhedron_types.hh"
+#include "Polyhedron_defs.hh"
+#include "Grid_types.hh"
+
+//! A not necessarily closed convex polyhedron.
+/*! \ingroup PPL_CXX_interface
+ An object of the class NNC_Polyhedron represents a
+ <EM>not necessarily closed</EM> (NNC) convex polyhedron
+ in the vector space \f$\Rset^n\f$.
+
+ \note
+ Since NNC polyhedra are a generalization of closed polyhedra,
+ any object of the class C_Polyhedron can be (explicitly) converted
+ into an object of the class NNC_Polyhedron.
+ The reason for defining two different classes is that objects of
+ the class C_Polyhedron are characterized by a more efficient
+ implementation, requiring less time and memory resources.
+*/
+class Parma_Polyhedra_Library::NNC_Polyhedron : public Polyhedron {
+public:
+ //! Builds either the universe or the empty NNC polyhedron.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the NNC polyhedron;
+
+ \param kind
+ Specifies whether a universe or an empty NNC polyhedron should be built.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space dimension.
+
+ Both parameters are optional:
+ by default, a 0-dimension space universe NNC polyhedron is built.
+ */
+ explicit NNC_Polyhedron(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Builds an NNC polyhedron from a system of constraints.
+ /*!
+ The polyhedron inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints defining the polyhedron.
+ */
+ explicit NNC_Polyhedron(const Constraint_System& cs);
+
+ //! Builds an NNC polyhedron recycling a system of constraints.
+ /*!
+ The polyhedron inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+ */
+ NNC_Polyhedron(Constraint_System& cs, Recycle_Input dummy);
+
+ //! Builds an NNC polyhedron from a system of generators.
+ /*!
+ The polyhedron inherits the space dimension of the generator system.
+
+ \param gs
+ The system of generators defining the polyhedron.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+ */
+ explicit NNC_Polyhedron(const Generator_System& gs);
+
+ //! Builds an NNC polyhedron recycling a system of generators.
+ /*!
+ The polyhedron inherits the space dimension of the generator system.
+
+ \param gs
+ The system of generators defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+ */
+ NNC_Polyhedron(Generator_System& gs, Recycle_Input dummy);
+
+ //! Builds an NNC polyhedron from a system of congruences.
+ /*!
+ The polyhedron inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+ */
+ explicit NNC_Polyhedron(const Congruence_System& cgs);
+
+ //! Builds an NNC polyhedron recycling a system of congruences.
+ /*!
+ The polyhedron inherits the space dimension of the congruence
+ system.
+
+ \param cgs
+ The system of congruences defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+ */
+ NNC_Polyhedron(Congruence_System& cgs, Recycle_Input dummy);
+
+ //! Builds an NNC polyhedron from the C polyhedron \p y.
+ /*!
+ \param y
+ The C polyhedron to be used;
+
+ \param complexity
+ This argument is ignored.
+ */
+ explicit NNC_Polyhedron(const C_Polyhedron& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds an NNC polyhedron out of a box.
+ /*!
+ The polyhedron inherits the space dimension of the box
+ and is the most precise that includes the box.
+
+ \param box
+ The box representing the polyhedron to be built;
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum allowed
+ space dimension.
+ */
+ template <typename Interval>
+ explicit NNC_Polyhedron(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds an NNC polyhedron out of a grid.
+ /*!
+ The polyhedron inherits the space dimension of the grid
+ and is the most precise that includes the grid.
+
+ \param grid
+ The grid used to build the polyhedron.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+ */
+ explicit NNC_Polyhedron(const Grid& grid,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a NNC polyhedron out of a BD shape.
+ /*!
+ The polyhedron inherits the space dimension of the BD shape
+ and is the most precise that includes the BD shape.
+
+ \param bd
+ The BD shape used to build the polyhedron.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+ */
+ template <typename U>
+ explicit NNC_Polyhedron(const BD_Shape<U>& bd,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a NNC polyhedron out of an octagonal shape.
+ /*!
+ The polyhedron inherits the space dimension of the octagonal shape
+ and is the most precise that includes the octagonal shape.
+
+ \param os
+ The octagonal shape used to build the polyhedron.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+ */
+ template <typename U>
+ explicit NNC_Polyhedron(const Octagonal_Shape<U>& os,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Ordinary copy constructor.
+ NNC_Polyhedron(const NNC_Polyhedron& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator.
+ (\p *this and \p y can be dimension-incompatible.)
+ */
+ NNC_Polyhedron& operator=(const NNC_Polyhedron& y);
+
+ //! Assigns to \p *this the C polyhedron \p y.
+ NNC_Polyhedron& operator=(const C_Polyhedron& y);
+
+ //! Destructor.
+ ~NNC_Polyhedron();
+
+ /*! \brief
+ If the poly-hull of \p *this and \p y is exact it is assigned
+ to \p *this and <CODE>true</CODE> is returned,
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool poly_hull_assign_if_exact(const NNC_Polyhedron& y);
+
+ //! Same as poly_hull_assign_if_exact(y).
+ bool upper_bound_assign_if_exact(const NNC_Polyhedron& y);
+};
+
+#include "NNC_Polyhedron_inlines.hh"
+
+#endif // !defined(PPL_NNC_Polyhedron_defs_hh)
diff --git a/src/NNC_Polyhedron_inlines.hh b/src/NNC_Polyhedron_inlines.hh
new file mode 100644
index 0000000..3ef89ad
--- /dev/null
+++ b/src/NNC_Polyhedron_inlines.hh
@@ -0,0 +1,153 @@
+/* NNC_Polyhedron class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_NNC_Polyhedron_inlines_hh
+#define PPL_NNC_Polyhedron_inlines_hh 1
+
+#include "C_Polyhedron_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline
+NNC_Polyhedron::~NNC_Polyhedron() {
+}
+
+inline
+NNC_Polyhedron::NNC_Polyhedron(dimension_type num_dimensions,
+ Degenerate_Element kind)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_space_dimension_overflow(num_dimensions,
+ NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(n, k)",
+ "n exceeds the maximum "
+ "allowed space dimension"),
+ kind) {
+}
+
+inline
+NNC_Polyhedron::NNC_Polyhedron(const Constraint_System& cs)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(cs, NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(cs)",
+ "the space dimension of cs "
+ "exceeds the maximum allowed "
+ "space dimension")) {
+}
+
+inline
+NNC_Polyhedron::NNC_Polyhedron(Constraint_System& cs, Recycle_Input)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(cs, NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(cs, recycle)",
+ "the space dimension of cs "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ Recycle_Input()) {
+}
+
+inline
+NNC_Polyhedron::NNC_Polyhedron(const Generator_System& gs)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(gs, NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(gs)",
+ "the space dimension of gs "
+ "exceeds the maximum allowed "
+ "space dimension")) {
+}
+
+inline
+NNC_Polyhedron::NNC_Polyhedron(Generator_System& gs, Recycle_Input)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(gs, NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(gs, recycle)",
+ "the space dimension of gs "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ Recycle_Input()) {
+}
+
+template <typename Interval>
+inline
+NNC_Polyhedron::NNC_Polyhedron(const Box<Interval>& box, Complexity_Class)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_obj_space_dimension_overflow(box, NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(box)",
+ "the space dimension of box "
+ "exceeds the maximum allowed "
+ "space dimension")) {
+}
+
+template <typename U>
+inline
+NNC_Polyhedron::NNC_Polyhedron(const BD_Shape<U>& bd, Complexity_Class)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_space_dimension_overflow(bd.space_dimension(),
+ NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(bd)",
+ "the space dimension of bd "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ UNIVERSE) {
+ add_constraints(bd.constraints());
+}
+
+template <typename U>
+inline
+NNC_Polyhedron::NNC_Polyhedron(const Octagonal_Shape<U>& os, Complexity_Class)
+ : Polyhedron(NOT_NECESSARILY_CLOSED,
+ check_space_dimension_overflow(os.space_dimension(),
+ NOT_NECESSARILY_CLOSED,
+ "NNC_Polyhedron(os)",
+ "the space dimension of os "
+ "exceeds the maximum allowed "
+ "space dimension"),
+ UNIVERSE) {
+ add_constraints(os.constraints());
+}
+
+inline
+NNC_Polyhedron::NNC_Polyhedron(const NNC_Polyhedron& y, Complexity_Class)
+ : Polyhedron(y) {
+}
+
+inline NNC_Polyhedron&
+NNC_Polyhedron::operator=(const NNC_Polyhedron& y) {
+ Polyhedron::operator=(y);
+ return *this;
+}
+
+inline NNC_Polyhedron&
+NNC_Polyhedron::operator=(const C_Polyhedron& y) {
+ NNC_Polyhedron nnc_y(y);
+ m_swap(nnc_y);
+ return *this;
+}
+
+inline bool
+NNC_Polyhedron::upper_bound_assign_if_exact(const NNC_Polyhedron& y) {
+ return poly_hull_assign_if_exact(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_NNC_Polyhedron_inlines_hh)
diff --git a/src/NNC_Polyhedron_types.hh b/src/NNC_Polyhedron_types.hh
new file mode 100644
index 0000000..23fd390
--- /dev/null
+++ b/src/NNC_Polyhedron_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_NNC_Polyhedron_types_hh
+#define PPL_NNC_Polyhedron_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class NNC_Polyhedron;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_NNC_Polyhedron_types_hh)
diff --git a/src/Numeric_Format.defs.hh b/src/Numeric_Format.defs.hh
deleted file mode 100644
index 75dde47..0000000
--- a/src/Numeric_Format.defs.hh
+++ /dev/null
@@ -1,38 +0,0 @@
-/* Numeric format.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Numeric_Format_defs_hh
-#define PPL_Numeric_Format_defs_hh 1
-
-#include "Result.defs.hh"
-#include "fpu.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-class Numeric_Format {
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Float_defs_hh)
-
diff --git a/src/Numeric_Format_defs.hh b/src/Numeric_Format_defs.hh
new file mode 100644
index 0000000..fcc1b7c
--- /dev/null
+++ b/src/Numeric_Format_defs.hh
@@ -0,0 +1,38 @@
+/* Numeric format.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Numeric_Format_defs_hh
+#define PPL_Numeric_Format_defs_hh 1
+
+#include "Result_defs.hh"
+#include "fpu_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+class Numeric_Format {
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Float_defs_hh)
+
diff --git a/src/OR_Matrix.defs.hh b/src/OR_Matrix.defs.hh
deleted file mode 100644
index 9e67403..0000000
--- a/src/OR_Matrix.defs.hh
+++ /dev/null
@@ -1,610 +0,0 @@
-/* OR_Matrix class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_OR_Matrix_defs_hh
-#define PPL_OR_Matrix_defs_hh 1
-
-#include "globals.defs.hh"
-#include "OR_Matrix.types.hh"
-#include "DB_Row.defs.hh"
-#include "Checked_Number.defs.hh"
-#include <cstddef>
-#include <iosfwd>
-
-#ifndef PPL_OR_MATRIX_EXTRA_DEBUG
-#ifdef PPL_ABI_BREAKING_EXTRA_DEBUG
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- When PPL_OR_MATRIX_EXTRA_DEBUG evaluates to <CODE>true</CODE>, each
- instance of the class OR_Matrix::Pseudo_Row carries its own size;
- this enables extra consistency checks to be performed.
- \ingroup PPL_CXX_interface
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define PPL_OR_MATRIX_EXTRA_DEBUG 1
-#else // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
-#define PPL_OR_MATRIX_EXTRA_DEBUG 0
-#endif // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
-#endif // !defined(PPL_OR_MATRIX_EXTRA_DEBUG)
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-bool operator==(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
-
-namespace IO_Operators {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-std::ostream&
-operator<<(std::ostream& s, const OR_Matrix<T>& m);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A matrix representing octagonal constraints.
-/*!
- An OR_Matrix object is a DB_Row object that allows
- the representation of a \em pseudo-triangular matrix,
- like the following:
-
-<PRE>
- _ _
- 0 |_|_|
- 1 |_|_|_ _
- 2 |_|_|_|_|
- 3 |_|_|_|_|_ _
- 4 |_|_|_|_|_|_|
- 5 |_|_|_|_|_|_|
- . . .
- _ _ _ _ _ _ _
- 2n-2 |_|_|_|_|_|_| ... |_|
- 2n-1 |_|_|_|_|_|_| ... |_|
- 0 1 2 3 4 5 ... 2n-1
-
-</PRE>
-
- It is characterized by parameter n that defines the structure,
- and such that there are 2*n rows (and 2*n columns).
- It provides row_iterators for the access to the rows
- and element_iterators for the access to the elements.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-template <typename T>
-class Parma_Polyhedra_Library::OR_Matrix {
-private:
- /*! \brief
- An object that behaves like a matrix's row with respect to
- the subscript operators.
- */
- template <typename U>
- class Pseudo_Row {
- public:
- /*! \brief
- Copy constructor allowing the construction of a const pseudo-row
- from a non-const pseudo-row.
- Ordinary copy constructor.
- */
- template <typename V>
- Pseudo_Row(const Pseudo_Row<V>& y);
-
- //! Destructor.
- ~Pseudo_Row();
-
- //! Subscript operator.
- U& operator[](dimension_type k) const;
-
- //! Default constructor: creates an invalid object that has to be assigned.
- Pseudo_Row();
-
- //! Assignment operator.
- Pseudo_Row& operator=(const Pseudo_Row& y);
-
-#if !defined(__GNUC__) || __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ > 0)
- private:
-#else
- // Work around a bug of GCC 4.0.x (and, likely, previous versions).
- public:
-#endif
-
-#if PPL_OR_MATRIX_EXTRA_DEBUG
-
- //! Private constructor for a Pseudo_Row with size \p s beginning at \p y.
- Pseudo_Row(U& y, dimension_type s);
-
-#else // !PPL_OR_MATRIX_EXTRA_DEBUG
-
- //! Private constructor for a Pseudo_Row beginning at \p y.
- explicit Pseudo_Row(U& y);
-
-#endif // !PPL_OR_MATRIX_EXTRA_DEBUG
-
- //! Holds a reference to the beginning of this row.
- U* first;
-
-#if !defined(__GNUC__) || __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ > 0)
-#else
- // Work around a bug of GCC 4.0.x (and, likely, previous versions).
- private:
-#endif
-
-#if PPL_OR_MATRIX_EXTRA_DEBUG
-
- //! The size of the row.
- dimension_type size_;
-
- //! Returns the size of the row.
- dimension_type size() const;
-
-#endif // PPL_OR_MATRIX_EXTRA_DEBUG
-
- // FIXME: the EDG-based compilers (such as Comeau and Intel)
- // are here in wild disagreement with GCC: what is a legal friend
- // declaration for one, is illegal for the others.
-#ifdef __EDG__
- template <typename V> template<typename W>
- friend class OR_Matrix<V>::Pseudo_Row;
- template <typename V> template<typename W>
- friend class OR_Matrix<V>::any_row_iterator;
-#else
- template <typename V> friend class Pseudo_Row;
- template <typename V> friend class any_row_iterator;
-#endif
-
- friend class OR_Matrix;
- }; // class Pseudo_Row
-
-public:
- //! A (non const) reference to a matrix's row.
- typedef Pseudo_Row<T> row_reference_type;
-
- //! A const reference to a matrix's row.
- typedef Pseudo_Row<const T> const_row_reference_type;
-
-private:
- /*! \brief
- A template class to derive both OR_Matrix::iterator
- and OR_Matrix::const_iterator.
- */
- template <typename U>
- class any_row_iterator {
- public:
- typedef std::random_access_iterator_tag iterator_category;
- typedef Pseudo_Row<U> value_type;
- typedef long difference_type;
- typedef const Pseudo_Row<U>* pointer;
- typedef const Pseudo_Row<U>& reference;
-
- //! Constructor to build past-the-end objects.
- any_row_iterator(dimension_type n_rows);
-
- /*! \brief
- Builds an iterator pointing at the beginning of an OR_Matrix whose
- first element is \p base;
- */
- explicit any_row_iterator(U& base);
-
- /*! \brief
- Copy constructor allowing the construction of a const_iterator
- from a non-const iterator.
- */
- template <typename V>
- any_row_iterator(const any_row_iterator<V>& y);
-
- /*! \brief
- Assignment operator allowing the assignment of a non-const iterator
- to a const_iterator.
- */
- template <typename V>
- any_row_iterator& operator=(const any_row_iterator<V>& y);
-
- //! Dereference operator.
- reference operator*() const;
-
- //! Indirect member selector.
- pointer operator->() const;
-
- //! Prefix increment operator.
- any_row_iterator& operator++();
-
- //! Postfix increment operator.
- any_row_iterator operator++(int);
-
- //! Prefix decrement operator.
- any_row_iterator& operator--();
-
- //! Postfix decrement operator.
- any_row_iterator operator--(int);
-
- //! Subscript operator.
- reference operator[](difference_type m) const;
-
- //! Assignment-increment operator.
- any_row_iterator& operator+=(difference_type m);
-
- //! Assignment-increment operator for \p m of unsigned type.
- template <typename Unsigned>
- typename Enable_If<(static_cast<Unsigned>(-1) > 0), any_row_iterator&>::type
- operator+=(Unsigned m);
-
- //! Assignment-decrement operator.
- any_row_iterator& operator-=(difference_type m);
-
- //! Returns the difference between \p *this and \p y.
- difference_type operator-(const any_row_iterator& y) const;
-
- //! Returns the sum of \p *this and \p m.
- any_row_iterator operator+(difference_type m) const;
-
- //! Returns the sum of \p *this and \p m, for \p m of unsigned type.
- template <typename Unsigned>
- typename Enable_If<(static_cast<Unsigned>(-1) > 0), any_row_iterator>::type
- operator+(Unsigned m) const;
-
- //! Returns the difference of \p *this and \p m.
- any_row_iterator operator-(difference_type m) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is equal to \p y.
- bool operator==(const any_row_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is different from \p y.
- */
- bool operator!=(const any_row_iterator& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is less than \p y.
- bool operator<(const any_row_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is less than
- or equal to \p y.
- */
- bool operator<=(const any_row_iterator& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is greater than \p y.
- bool operator>(const any_row_iterator& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is greater than
- or equal to \p y.
- */
- bool operator>=(const any_row_iterator& y) const;
-
- dimension_type row_size() const;
-
- dimension_type index() const;
-
- private:
- //! Represents the beginning of a row.
- Pseudo_Row<U> value;
-
- //! External index.
- dimension_type e;
-
- //! Internal index: <CODE>i = (e+1)*(e+1)/2</CODE>.
- dimension_type i;
-
- // FIXME: the EDG-based compilers (such as Comeau and Intel)
- // are here in wild disagreement with GCC: what is a legal friend
- // declaration for one, is illegal for the others.
-#ifdef __EDG__
- template <typename V> template<typename W>
- friend class OR_Matrix<V>::any_row_iterator;
-#else
- template <typename V> friend class any_row_iterator;
-#endif
- }; // class any_row_iterator
-
-public:
- //! A (non const) row iterator.
- typedef any_row_iterator<T> row_iterator;
-
- //! A const row iterator.
- typedef any_row_iterator<const T> const_row_iterator;
-
- //! A (non const) element iterator.
- typedef typename DB_Row<T>::iterator element_iterator;
-
- //! A const element iterator.
- typedef typename DB_Row<T>::const_iterator const_element_iterator;
-
-public:
- //! Returns the maximum number of rows of a OR_Matrix.
- static dimension_type max_num_rows();
-
- //! Builds a matrix with specified dimensions.
- /*!
- \param num_dimensions
- The space dimension of the matrix that will be created.
-
- This constructor creates a matrix with \p 2*num_dimensions rows.
- Each element is initialized to plus infinity.
- */
- OR_Matrix(dimension_type num_dimensions);
-
- //! Copy constructor.
- OR_Matrix(const OR_Matrix& y);
-
- //! Constructs a conservative approximation of \p y.
- template <typename U>
- explicit OR_Matrix(const OR_Matrix<U>& y);
-
- //! Destructor.
- ~OR_Matrix();
-
- //! Assignment operator.
- OR_Matrix& operator=(const OR_Matrix& y);
-
-private:
- template <typename U> friend class OR_Matrix;
-
- //! Contains the rows of the matrix.
- /*!
- A DB_Row which contains the rows of the OR_Matrix
- inserting each successive row to the end of the vec.
- To contain all the elements of OR_Matrix the size of the DB_Row
- is 2*n*(n+1), where the n is the characteristic parameter of
- OR_Matrix.
- */
- DB_Row<T> vec;
-
- //! Contains the dimension of the space of the matrix.
- dimension_type space_dim;
-
- //! Contains the capacity of \p vec.
- dimension_type vec_capacity;
-
- //! Private and not implemented: default construction is not allowed.
- OR_Matrix();
-
- /*! \brief
- Returns the index into <CODE>vec</CODE> of the first element
- of the row of index \p k.
- */
- static dimension_type row_first_element_index(dimension_type k);
-
-public:
- //! Returns the size of the row of index \p k.
- static dimension_type row_size(dimension_type k);
-
- //! Swaps \p *this with \p y.
- void m_swap(OR_Matrix& y);
-
- //! Makes the matrix grow by adding more space dimensions.
- /*!
- \param new_dim
- The new dimension of the resized matrix.
-
- Adds new rows of right dimension to the end if
- there is enough capacity; otherwise, creates a new matrix,
- with the specified dimension, copying the old elements
- in the upper part of the new matrix, which is
- then assigned to \p *this.
- Each new element is initialized to plus infinity.
- */
- void grow(dimension_type new_dim);
-
- //! Makes the matrix shrink by removing the last space dimensions.
- /*!
- \param new_dim
- The new dimension of the resized matrix.
-
- Erases from matrix to the end the rows with index
- greater than 2*new_dim-1.
- */
- void shrink(dimension_type new_dim);
-
- //! Resizes the matrix without worrying about the old contents.
- /*!
- \param new_dim
- The new dimension of the resized matrix.
-
- If the new dimension is greater than the old one, it adds new rows
- of right dimension to the end if there is enough capacity; otherwise,
- it creates a new matrix, with the specified dimension, which is
- then assigned to \p *this.
- If the new dimension is less than the old one, it erase from the matrix
- the rows having index greater than 2*new_dim-1
- */
- void resize_no_copy(dimension_type new_dim);
-
- //! Returns the space-dimension of the matrix.
- dimension_type space_dimension() const;
-
- //! Returns the number of rows in the matrix.
- dimension_type num_rows() const;
-
- //! \name Subscript operators.
- //@{
- //! Returns a reference to the \p k-th row of the matrix.
- row_reference_type operator[](dimension_type k);
-
- //! Returns a constant reference to the \p k-th row of the matrix.
- const_row_reference_type operator[](dimension_type k) const;
- //@}
-
-
- /*! \brief
- Returns an iterator pointing to the first row,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- row_iterator row_begin();
-
- //! Returns the past-the-end const_iterator.
- row_iterator row_end();
-
- /*! \brief
- Returns a const row iterator pointing to the first row,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- const_row_iterator row_begin() const;
-
- //! Returns the past-the-end const row iterator.
- const_row_iterator row_end() const;
-
- /*! \brief
- Returns an iterator pointing to the first element,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- element_iterator element_begin();
-
- //! Returns the past-the-end const_iterator.
- element_iterator element_end();
-
- /*! \brief
- Returns a const element iterator pointing to the first element,
- if \p *this is not empty;
- otherwise, returns the past-the-end const_iterator.
- */
- const_element_iterator element_begin() const;
-
- //! Returns the past-the-end const element iterator.
- const_element_iterator element_end() const;
-
- //! Clears the matrix deallocating all its rows.
- void clear();
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- friend bool operator==<T>(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-void swap(OR_Matrix<T>& x, OR_Matrix<T>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-bool operator!=(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates OR_Matrix
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into to \p r
- and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates OR_Matrix
- If the Euclidean distance between \p x and \p y is defined,
- stores an approximation of it into to \p r
- and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates OR_Matrix
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into to \p r
- and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "OR_Matrix.inlines.hh"
-#include "OR_Matrix.templates.hh"
-
-#endif // !defined(PPL_OR_Matrix_defs_hh)
diff --git a/src/OR_Matrix.inlines.hh b/src/OR_Matrix.inlines.hh
deleted file mode 100644
index 3f9456a..0000000
--- a/src/OR_Matrix.inlines.hh
+++ /dev/null
@@ -1,751 +0,0 @@
-/* OR_Matrix class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_OR_Matrix_inlines_hh
-#define PPL_OR_Matrix_inlines_hh 1
-
-#include "globals.defs.hh"
-#include "Checked_Number.defs.hh"
-#include "C_Polyhedron.defs.hh"
-#include "distances.defs.hh"
-#include "assert.hh"
-#include "checked.defs.hh"
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline dimension_type
-OR_Matrix<T>::row_first_element_index(const dimension_type k) {
- return ((k + 1)*(k + 1))/2;
-}
-
-template <typename T>
-inline dimension_type
-OR_Matrix<T>::row_size(const dimension_type k) {
- return k + 2 - k % 2;
-}
-
-#if PPL_OR_MATRIX_EXTRA_DEBUG
-
-template <typename T>
-template <typename U>
-inline dimension_type
-OR_Matrix<T>::Pseudo_Row<U>::size() const {
- return size_;
-}
-
-#endif // PPL_OR_MATRIX_EXTRA_DEBUG
-
-template <typename T>
-template <typename U>
-inline
-OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row()
- : first(0)
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , size_(0)
-#endif
-{
-}
-
-template <typename T>
-template <typename U>
-inline
-OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row(U& y
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , dimension_type s
-#endif
- )
- : first(&y)
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , size_(s)
-#endif
-{
-}
-
-template <typename T>
-template <typename U>
-template <typename V>
-inline
-OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row(const Pseudo_Row<V>& y)
- : first(y.first)
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , size_(y.size_)
-#endif
-{
-}
-
-template <typename T>
-template <typename U>
-inline OR_Matrix<T>::Pseudo_Row<U>&
-OR_Matrix<T>::Pseudo_Row<U>::operator=(const Pseudo_Row& y) {
- first = y.first;
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- size_ = y.size_;
-#endif
- return *this;
-}
-
-template <typename T>
-template <typename U>
-inline
-OR_Matrix<T>::Pseudo_Row<U>::~Pseudo_Row() {
-}
-
-template <typename T>
-template <typename U>
-inline U&
-OR_Matrix<T>::Pseudo_Row<U>::operator[](const dimension_type k) const {
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- PPL_ASSERT(k < size_);
-#endif
- return *(first + k);
-}
-
-template <typename T>
-template <typename U>
-inline
-OR_Matrix<T>::any_row_iterator<U>
-::any_row_iterator(const dimension_type n_rows)
- : value(),
- e(n_rows)
- // Field `i' is intentionally not initialized here.
-{
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- // Turn `value' into a valid object.
- value.size_ = OR_Matrix::row_size(e);
-#endif
-}
-
-template <typename T>
-template <typename U>
-inline
-OR_Matrix<T>::any_row_iterator<U>::any_row_iterator(U& base)
- : value(base
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , OR_Matrix<T>::row_size(0)
-#endif
- ),
- e(0),
- i(0) {
-}
-
-template <typename T>
-template <typename U>
-template <typename V>
-inline
-OR_Matrix<T>::any_row_iterator<U>
-::any_row_iterator(const any_row_iterator<V>& y)
- : value(y.value),
- e(y.e),
- i(y.i) {
-}
-
-template <typename T>
-template <typename U>
-template <typename V>
-inline typename OR_Matrix<T>::template any_row_iterator<U>&
-OR_Matrix<T>::any_row_iterator<U>::operator=(const any_row_iterator<V>& y) {
- value = y.value;
- e = y.e;
- i = y.i;
- return *this;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>::reference
-OR_Matrix<T>::any_row_iterator<U>::operator*() const {
- return value;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>::pointer
-OR_Matrix<T>::any_row_iterator<U>::operator->() const {
- return &value;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>&
-OR_Matrix<T>::any_row_iterator<U>::operator++() {
- ++e;
- dimension_type increment = e;
- if (e % 2 != 0)
- ++increment;
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- else {
- value.size_ += 2;
- }
-#endif
- i += increment;
- value.first += increment;
- return *this;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>
-OR_Matrix<T>::any_row_iterator<U>::operator++(int) {
- any_row_iterator old = *this;
- ++(*this);
- return old;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>&
-OR_Matrix<T>::any_row_iterator<U>::operator--() {
- dimension_type decrement = e + 1;
- --e;
- if (e % 2 != 0) {
- ++decrement;
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- value.size_ -= 2;
-#endif
- }
- i -= decrement;
- value.first -= decrement;
- return *this;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>
-OR_Matrix<T>::any_row_iterator<U>::operator--(int) {
- any_row_iterator old = *this;
- --(*this);
- return old;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>&
-OR_Matrix<T>::any_row_iterator<U>::operator+=(const difference_type m) {
- difference_type e_dt = static_cast<difference_type>(e);
- difference_type i_dt = static_cast<difference_type>(i);
- difference_type increment = m + (m * m) / 2 + m * e_dt;
- if (e_dt % 2 == 0 && m % 2 != 0)
- ++increment;
- e_dt += m;
- i_dt += increment;
- e = static_cast<dimension_type>(e_dt);
- i = static_cast<dimension_type>(i_dt);
- value.first += increment;
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- difference_type value_size_dt = static_cast<difference_type>(value.size_);
- value_size_dt += (m - m % 2);
- value.size_ = static_cast<dimension_type>(value_size_dt);
-#endif
- return *this;
-}
-
-template <typename T>
-template <typename U>
-template <typename Unsigned>
-inline typename
-Enable_If<(static_cast<Unsigned>(-1) > 0),
- typename OR_Matrix<T>::template any_row_iterator<U>& >::type
-OR_Matrix<T>::any_row_iterator<U>::operator+=(Unsigned m) {
- dimension_type n = m;
- dimension_type increment = n + (n*n)/2 + n*e;
- if (e % 2 == 0 && n % 2 != 0)
- ++increment;
- e += n;
- i += increment;
- value.first += increment;
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- value.size_ = value.size_ + n - n % 2;
-#endif
- return *this;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>&
-OR_Matrix<T>::any_row_iterator<U>::operator-=(difference_type m) {
- return *this += -m;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>::difference_type
-OR_Matrix<T>::any_row_iterator<U>::operator-(const any_row_iterator& y) const {
- return e - y.e;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>
-OR_Matrix<T>::any_row_iterator<U>::operator+(difference_type m) const {
- any_row_iterator r = *this;
- r += m;
- return r;
-}
-
-template <typename T>
-template <typename U>
-template <typename Unsigned>
-inline typename
-Enable_If<(static_cast<Unsigned>(-1) > 0),
- typename OR_Matrix<T>::template any_row_iterator<U> >::type
-OR_Matrix<T>::any_row_iterator<U>::operator+(Unsigned m) const {
- any_row_iterator r = *this;
- r += m;
- return r;
-}
-
-template <typename T>
-template <typename U>
-inline typename OR_Matrix<T>::template any_row_iterator<U>
-OR_Matrix<T>::any_row_iterator<U>::operator-(const difference_type m) const {
- any_row_iterator r = *this;
- r -= m;
- return r;
-}
-
-template <typename T>
-template <typename U>
-inline bool
-OR_Matrix<T>::any_row_iterator<U>
-::operator==(const any_row_iterator& y) const {
- return e == y.e;
-}
-
-template <typename T>
-template <typename U>
-inline bool
-OR_Matrix<T>::any_row_iterator<U>
-::operator!=(const any_row_iterator& y) const {
- return e != y.e;
-}
-
-template <typename T>
-template <typename U>
-inline bool
-OR_Matrix<T>::any_row_iterator<U>::operator<(const any_row_iterator& y) const {
- return e < y.e;
-}
-
-template <typename T>
-template <typename U>
-inline bool
-OR_Matrix<T>::any_row_iterator<U>
-::operator<=(const any_row_iterator& y) const {
- return e <= y.e;
-}
-
-template <typename T>
-template <typename U>
-inline bool
-OR_Matrix<T>::any_row_iterator<U>::operator>(const any_row_iterator& y) const {
- return e > y.e;
-}
-
-template <typename T>
-template <typename U>
-inline bool
-OR_Matrix<T>::any_row_iterator<U>
-::operator>=(const any_row_iterator& y) const {
- return e >= y.e;
-}
-
-template <typename T>
-template <typename U>
-inline dimension_type
-OR_Matrix<T>::any_row_iterator<U>::row_size() const {
- return OR_Matrix::row_size(e);
-}
-
-template <typename T>
-template <typename U>
-inline dimension_type
-OR_Matrix<T>::any_row_iterator<U>::index() const {
- return e;
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::row_iterator
-OR_Matrix<T>::row_begin() {
- return num_rows() == 0 ? row_iterator(0) : row_iterator(vec[0]);
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::row_iterator
-OR_Matrix<T>::row_end() {
- return row_iterator(num_rows());
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::const_row_iterator
-OR_Matrix<T>::row_begin() const {
- return num_rows() == 0 ? const_row_iterator(0) : const_row_iterator(vec[0]);
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::const_row_iterator
-OR_Matrix<T>::row_end() const {
- return const_row_iterator(num_rows());
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::element_iterator
-OR_Matrix<T>::element_begin() {
- return vec.begin();
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::element_iterator
-OR_Matrix<T>::element_end() {
- return vec.end();
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::const_element_iterator
-OR_Matrix<T>::element_begin() const {
- return vec.begin();
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::const_element_iterator
-OR_Matrix<T>::element_end() const {
- return vec.end();
-}
-
-template <typename T>
-inline void
-OR_Matrix<T>::m_swap(OR_Matrix& y) {
- using std::swap;
- swap(vec, y.vec);
- swap(space_dim, y.space_dim);
- swap(vec_capacity, y.vec_capacity);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the integer square root of \p x.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-inline dimension_type
-isqrt(dimension_type x) {
- dimension_type r = 0;
- const dimension_type FIRST_BIT_MASK = 0x40000000U;
- for (dimension_type t = FIRST_BIT_MASK; t != 0; t >>= 2) {
- dimension_type s = r + t;
- if (s <= x) {
- x -= s;
- r = s + t;
- }
- r >>= 1;
- }
- return r;
-}
-
-template <typename T>
-inline dimension_type
-OR_Matrix<T>::max_num_rows() {
- // Compute the maximum number of rows that are contained in a DB_Row
- // that allocates a pseudo-triangular matrix.
- dimension_type k = isqrt(2*DB_Row<T>::max_size() + 1);
- return (k - 1) - (k - 1) % 2;
-}
-
-template <typename T>
-inline memory_size_type
-OR_Matrix<T>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename T>
-inline
-OR_Matrix<T>::OR_Matrix(const dimension_type num_dimensions)
- : vec(2*num_dimensions*(num_dimensions + 1)),
- space_dim(num_dimensions),
- vec_capacity(vec.size()) {
-}
-
-template <typename T>
-inline
-OR_Matrix<T>::~OR_Matrix() {
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::row_reference_type
-OR_Matrix<T>::operator[](dimension_type k) {
- return row_reference_type(vec[row_first_element_index(k)]
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , row_size(k)
-#endif
- );
-}
-
-template <typename T>
-inline typename OR_Matrix<T>::const_row_reference_type
-OR_Matrix<T>::operator[](dimension_type k) const {
- return const_row_reference_type(vec[row_first_element_index(k)]
-#if PPL_OR_MATRIX_EXTRA_DEBUG
- , row_size(k)
-#endif
- );
-}
-
-template <typename T>
-inline dimension_type
-OR_Matrix<T>::space_dimension() const {
- return space_dim;
-}
-
-template <typename T>
-inline dimension_type
-OR_Matrix<T>::num_rows() const {
- return 2*space_dimension();
-}
-
-template <typename T>
-inline void
-OR_Matrix<T>::clear() {
- OR_Matrix<T>(0).m_swap(*this);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-inline bool
-operator==(const OR_Matrix<T>& x, const OR_Matrix<T>& y) {
- return x.space_dim == y.space_dim && x.vec == y.vec;
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-inline bool
-operator!=(const OR_Matrix<T>& x, const OR_Matrix<T>& y) {
- return !(x == y);
-}
-
-template <typename T>
-inline
-OR_Matrix<T>::OR_Matrix(const OR_Matrix& y)
- : vec(y.vec),
- space_dim(y.space_dim),
- vec_capacity(compute_capacity(y.vec.size(),
- DB_Row<T>::max_size())) {
-}
-
-template <typename T>
-template <typename U>
-inline
-OR_Matrix<T>::OR_Matrix(const OR_Matrix<U>& y)
- : vec(),
- space_dim(y.space_dim),
- vec_capacity(compute_capacity(y.vec.size(),
- DB_Row<T>::max_size())) {
- vec.construct_upward_approximation(y.vec, vec_capacity);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline OR_Matrix<T>&
-OR_Matrix<T>::operator=(const OR_Matrix& y) {
- vec = y.vec;
- space_dim = y.space_dim;
- vec_capacity = compute_capacity(y.vec.size(), DB_Row<T>::max_size());
- return *this;
-}
-
-template <typename T>
-inline void
-OR_Matrix<T>::grow(const dimension_type new_dim) {
- PPL_ASSERT(new_dim >= space_dim);
- if (new_dim > space_dim) {
- const dimension_type new_size = 2*new_dim*(new_dim + 1);
- if (new_size <= vec_capacity) {
- // We can recycle the old vec.
- vec.expand_within_capacity(new_size);
- space_dim = new_dim;
- }
- else {
- // We cannot recycle the old vec.
- OR_Matrix<T> new_matrix(new_dim);
- element_iterator j = new_matrix.element_begin();
- for (element_iterator i = element_begin(),
- mend = element_end(); i != mend; ++i, ++j)
- assign_or_swap(*j, *i);
- m_swap(new_matrix);
- }
- }
-}
-
-template <typename T>
-inline void
-OR_Matrix<T>::shrink(const dimension_type new_dim) {
- PPL_ASSERT(new_dim <= space_dim);
- const dimension_type new_size = 2*new_dim*(new_dim + 1);
- vec.shrink(new_size);
- space_dim = new_dim;
-}
-
-template <typename T>
-inline void
-OR_Matrix<T>::resize_no_copy(const dimension_type new_dim) {
- if (new_dim > space_dim) {
- const dimension_type new_size = 2*new_dim*(new_dim + 1);
- if (new_size <= vec_capacity) {
- // We can recycle the old vec.
- vec.expand_within_capacity(new_size);
- space_dim = new_dim;
- }
- else {
- // We cannot recycle the old vec.
- OR_Matrix<T> new_matrix(new_dim);
- m_swap(new_matrix);
- }
- }
- else if (new_dim < space_dim)
- shrink(new_dim);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Specialization, typename Temp, typename To, typename T>
-inline bool
-l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- if (x.num_rows() != y.num_rows())
- return false;
- assign_r(tmp0, 0, ROUND_NOT_NEEDED);
- for (typename OR_Matrix<T>::const_element_iterator
- i = x.element_begin(), j = y.element_begin(),
- mat_end = x.element_end(); i != mat_end; ++i, ++j) {
- const T& x_i = *i;
- const T& y_i = *j;
- if (is_plus_infinity(x_i)) {
- if (is_plus_infinity(y_i))
- continue;
- else {
- pinf:
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
- }
- else if (is_plus_infinity(y_i))
- goto pinf;
-
- const Temp* tmp1p;
- const Temp* tmp2p;
- if (x_i > y_i) {
- maybe_assign(tmp1p, tmp1, x_i, dir);
- maybe_assign(tmp2p, tmp2, y_i, inverse(dir));
- }
- else {
- maybe_assign(tmp1p, tmp1, y_i, dir);
- maybe_assign(tmp2p, tmp2, x_i, inverse(dir));
- }
- sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
- PPL_ASSERT(sgn(tmp1) >= 0);
- Specialization::combine(tmp0, tmp1, dir);
- }
-
- Specialization::finalize(tmp0, dir);
- assign_r(r, tmp0, dir);
- return true;
-}
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return
- l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return
- l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Temp, typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- return
- l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
-}
-
-/*! \relates OR_Matrix */
-template <typename T>
-inline void
-swap(OR_Matrix<T>& x, OR_Matrix<T>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_OR_Matrix_inlines_hh)
diff --git a/src/OR_Matrix.templates.hh b/src/OR_Matrix.templates.hh
deleted file mode 100644
index de9fcb2..0000000
--- a/src/OR_Matrix.templates.hh
+++ /dev/null
@@ -1,124 +0,0 @@
-/* OR_Matrix class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_OR_Matrix_templates_hh
-#define PPL_OR_Matrix_templates_hh 1
-
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-memory_size_type
-OR_Matrix<T>::external_memory_in_bytes() const{
- return vec.external_memory_in_bytes();
-}
-
-template <typename T>
-bool
-OR_Matrix<T>::OK() const {
-#ifndef NDEBUG
- using std::endl;
- using std::cerr;
-#endif
- // The right number of cells should be in use.
- const dimension_type dim = space_dimension();
- if (vec.size() != 2*dim*(dim + 1)) {
-#ifndef NDEBUG
- cerr << "OR_Matrix has a wrong number of cells:\n"
- << "vec.size() is " << vec.size()
- << ", expected size is " << (2*dim*(dim+1)) << "!\n";
-#endif
- return false;
- }
-
- // The underlying DB_Row should be OK.
- if (!vec.OK(vec.size(), vec_capacity))
- return false;
-
- // All checks passed.
- return true;
-}
-
-template <typename T>
-void
-OR_Matrix<T>::ascii_dump(std::ostream& s) const {
- const OR_Matrix<T>& x = *this;
- const char separator = ' ';
- dimension_type space = x.space_dimension();
- s << space << separator << "\n";
- for (const_row_iterator i = x.row_begin(),
- x_row_end = x.row_end(); i != x_row_end; ++i) {
- const_row_reference_type r = *i;
- dimension_type rs = i.row_size();
- for (dimension_type j = 0; j < rs; ++j) {
- using namespace IO_Operators;
- s << r[j] << separator;
- }
- s << "\n";
- }
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, OR_Matrix<T>)
-
-template <typename T>
-bool
-OR_Matrix<T>::ascii_load(std::istream& s) {
- dimension_type space;
- if (!(s >> space))
- return false;
- resize_no_copy(space);
- for (row_iterator i = row_begin(),
- this_row_end = row_end(); i != this_row_end; ++i) {
- row_reference_type r_i = *i;
- const dimension_type rs = i.row_size();
- for (dimension_type j = 0; j < rs; ++j) {
- Result r = input(r_i[j], s, ROUND_CHECK);
- if (result_relation(r) != VR_EQ || is_minus_infinity(r_i[j]))
- return false;
- }
- }
- PPL_ASSERT(OK());
- return true;
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Parma_Polyhedra_Library::OR_Matrix */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-std::ostream&
-IO_Operators::operator<<(std::ostream& s, const OR_Matrix<T>& m) {
- for (typename OR_Matrix<T>::const_row_iterator m_iter = m.row_begin(),
- m_end = m.row_end(); m_iter != m_end; ++m_iter) {
- typename OR_Matrix<T>::const_row_reference_type r_m = *m_iter;
- const dimension_type mr_size = m_iter.row_size();
- for (dimension_type j = 0; j < mr_size; ++j)
- s << r_m[j] << " ";
- s << "\n";
- }
- return s;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_OR_Matrix_templates_hh)
diff --git a/src/OR_Matrix.types.hh b/src/OR_Matrix.types.hh
deleted file mode 100644
index 52f9359..0000000
--- a/src/OR_Matrix.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_OR_Matrix_types_hh
-#define PPL_OR_Matrix_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-class OR_Matrix;
-
-}
-
-#endif // !defined(PPL_OR_Matrix_types_hh)
diff --git a/src/OR_Matrix_defs.hh b/src/OR_Matrix_defs.hh
new file mode 100644
index 0000000..0215646
--- /dev/null
+++ b/src/OR_Matrix_defs.hh
@@ -0,0 +1,610 @@
+/* OR_Matrix class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_OR_Matrix_defs_hh
+#define PPL_OR_Matrix_defs_hh 1
+
+#include "globals_defs.hh"
+#include "OR_Matrix_types.hh"
+#include "DB_Row_defs.hh"
+#include "Checked_Number_defs.hh"
+#include <cstddef>
+#include <iosfwd>
+
+#ifndef PPL_OR_MATRIX_EXTRA_DEBUG
+#ifdef PPL_ABI_BREAKING_EXTRA_DEBUG
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ When PPL_OR_MATRIX_EXTRA_DEBUG evaluates to <CODE>true</CODE>, each
+ instance of the class OR_Matrix::Pseudo_Row carries its own size;
+ this enables extra consistency checks to be performed.
+ \ingroup PPL_CXX_interface
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+#define PPL_OR_MATRIX_EXTRA_DEBUG 1
+#else // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
+#define PPL_OR_MATRIX_EXTRA_DEBUG 0
+#endif // !defined(PPL_ABI_BREAKING_EXTRA_DEBUG)
+#endif // !defined(PPL_OR_MATRIX_EXTRA_DEBUG)
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+bool operator==(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
+
+namespace IO_Operators {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+std::ostream&
+operator<<(std::ostream& s, const OR_Matrix<T>& m);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A matrix representing octagonal constraints.
+/*!
+ An OR_Matrix object is a DB_Row object that allows
+ the representation of a \em pseudo-triangular matrix,
+ like the following:
+
+<PRE>
+ _ _
+ 0 |_|_|
+ 1 |_|_|_ _
+ 2 |_|_|_|_|
+ 3 |_|_|_|_|_ _
+ 4 |_|_|_|_|_|_|
+ 5 |_|_|_|_|_|_|
+ . . .
+ _ _ _ _ _ _ _
+ 2n-2 |_|_|_|_|_|_| ... |_|
+ 2n-1 |_|_|_|_|_|_| ... |_|
+ 0 1 2 3 4 5 ... 2n-1
+
+</PRE>
+
+ It is characterized by parameter n that defines the structure,
+ and such that there are 2*n rows (and 2*n columns).
+ It provides row_iterators for the access to the rows
+ and element_iterators for the access to the elements.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+template <typename T>
+class Parma_Polyhedra_Library::OR_Matrix {
+private:
+ /*! \brief
+ An object that behaves like a matrix's row with respect to
+ the subscript operators.
+ */
+ template <typename U>
+ class Pseudo_Row {
+ public:
+ /*! \brief
+ Copy constructor allowing the construction of a const pseudo-row
+ from a non-const pseudo-row.
+ Ordinary copy constructor.
+ */
+ template <typename V>
+ Pseudo_Row(const Pseudo_Row<V>& y);
+
+ //! Destructor.
+ ~Pseudo_Row();
+
+ //! Subscript operator.
+ U& operator[](dimension_type k) const;
+
+ //! Default constructor: creates an invalid object that has to be assigned.
+ Pseudo_Row();
+
+ //! Assignment operator.
+ Pseudo_Row& operator=(const Pseudo_Row& y);
+
+#if !defined(__GNUC__) || __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ > 0)
+ private:
+#else
+ // Work around a bug of GCC 4.0.x (and, likely, previous versions).
+ public:
+#endif
+
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+
+ //! Private constructor for a Pseudo_Row with size \p s beginning at \p y.
+ Pseudo_Row(U& y, dimension_type s);
+
+#else // !PPL_OR_MATRIX_EXTRA_DEBUG
+
+ //! Private constructor for a Pseudo_Row beginning at \p y.
+ explicit Pseudo_Row(U& y);
+
+#endif // !PPL_OR_MATRIX_EXTRA_DEBUG
+
+ //! Holds a reference to the beginning of this row.
+ U* first;
+
+#if !defined(__GNUC__) || __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ > 0)
+#else
+ // Work around a bug of GCC 4.0.x (and, likely, previous versions).
+ private:
+#endif
+
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+
+ //! The size of the row.
+ dimension_type size_;
+
+ //! Returns the size of the row.
+ dimension_type size() const;
+
+#endif // PPL_OR_MATRIX_EXTRA_DEBUG
+
+ // FIXME: the EDG-based compilers (such as Comeau and Intel)
+ // are here in wild disagreement with GCC: what is a legal friend
+ // declaration for one, is illegal for the others.
+#ifdef __EDG__
+ template <typename V> template<typename W>
+ friend class OR_Matrix<V>::Pseudo_Row;
+ template <typename V> template<typename W>
+ friend class OR_Matrix<V>::any_row_iterator;
+#else
+ template <typename V> friend class Pseudo_Row;
+ template <typename V> friend class any_row_iterator;
+#endif
+
+ friend class OR_Matrix;
+ }; // class Pseudo_Row
+
+public:
+ //! A (non const) reference to a matrix's row.
+ typedef Pseudo_Row<T> row_reference_type;
+
+ //! A const reference to a matrix's row.
+ typedef Pseudo_Row<const T> const_row_reference_type;
+
+private:
+ /*! \brief
+ A template class to derive both OR_Matrix::iterator
+ and OR_Matrix::const_iterator.
+ */
+ template <typename U>
+ class any_row_iterator {
+ public:
+ typedef std::random_access_iterator_tag iterator_category;
+ typedef Pseudo_Row<U> value_type;
+ typedef long difference_type;
+ typedef const Pseudo_Row<U>* pointer;
+ typedef const Pseudo_Row<U>& reference;
+
+ //! Constructor to build past-the-end objects.
+ any_row_iterator(dimension_type n_rows);
+
+ /*! \brief
+ Builds an iterator pointing at the beginning of an OR_Matrix whose
+ first element is \p base;
+ */
+ explicit any_row_iterator(U& base);
+
+ /*! \brief
+ Copy constructor allowing the construction of a const_iterator
+ from a non-const iterator.
+ */
+ template <typename V>
+ any_row_iterator(const any_row_iterator<V>& y);
+
+ /*! \brief
+ Assignment operator allowing the assignment of a non-const iterator
+ to a const_iterator.
+ */
+ template <typename V>
+ any_row_iterator& operator=(const any_row_iterator<V>& y);
+
+ //! Dereference operator.
+ reference operator*() const;
+
+ //! Indirect member selector.
+ pointer operator->() const;
+
+ //! Prefix increment operator.
+ any_row_iterator& operator++();
+
+ //! Postfix increment operator.
+ any_row_iterator operator++(int);
+
+ //! Prefix decrement operator.
+ any_row_iterator& operator--();
+
+ //! Postfix decrement operator.
+ any_row_iterator operator--(int);
+
+ //! Subscript operator.
+ reference operator[](difference_type m) const;
+
+ //! Assignment-increment operator.
+ any_row_iterator& operator+=(difference_type m);
+
+ //! Assignment-increment operator for \p m of unsigned type.
+ template <typename Unsigned>
+ typename Enable_If<(static_cast<Unsigned>(-1) > 0), any_row_iterator&>::type
+ operator+=(Unsigned m);
+
+ //! Assignment-decrement operator.
+ any_row_iterator& operator-=(difference_type m);
+
+ //! Returns the difference between \p *this and \p y.
+ difference_type operator-(const any_row_iterator& y) const;
+
+ //! Returns the sum of \p *this and \p m.
+ any_row_iterator operator+(difference_type m) const;
+
+ //! Returns the sum of \p *this and \p m, for \p m of unsigned type.
+ template <typename Unsigned>
+ typename Enable_If<(static_cast<Unsigned>(-1) > 0), any_row_iterator>::type
+ operator+(Unsigned m) const;
+
+ //! Returns the difference of \p *this and \p m.
+ any_row_iterator operator-(difference_type m) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is equal to \p y.
+ bool operator==(const any_row_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is different from \p y.
+ */
+ bool operator!=(const any_row_iterator& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is less than \p y.
+ bool operator<(const any_row_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is less than
+ or equal to \p y.
+ */
+ bool operator<=(const any_row_iterator& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is greater than \p y.
+ bool operator>(const any_row_iterator& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is greater than
+ or equal to \p y.
+ */
+ bool operator>=(const any_row_iterator& y) const;
+
+ dimension_type row_size() const;
+
+ dimension_type index() const;
+
+ private:
+ //! Represents the beginning of a row.
+ Pseudo_Row<U> value;
+
+ //! External index.
+ dimension_type e;
+
+ //! Internal index: <CODE>i = (e+1)*(e+1)/2</CODE>.
+ dimension_type i;
+
+ // FIXME: the EDG-based compilers (such as Comeau and Intel)
+ // are here in wild disagreement with GCC: what is a legal friend
+ // declaration for one, is illegal for the others.
+#ifdef __EDG__
+ template <typename V> template<typename W>
+ friend class OR_Matrix<V>::any_row_iterator;
+#else
+ template <typename V> friend class any_row_iterator;
+#endif
+ }; // class any_row_iterator
+
+public:
+ //! A (non const) row iterator.
+ typedef any_row_iterator<T> row_iterator;
+
+ //! A const row iterator.
+ typedef any_row_iterator<const T> const_row_iterator;
+
+ //! A (non const) element iterator.
+ typedef typename DB_Row<T>::iterator element_iterator;
+
+ //! A const element iterator.
+ typedef typename DB_Row<T>::const_iterator const_element_iterator;
+
+public:
+ //! Returns the maximum number of rows of a OR_Matrix.
+ static dimension_type max_num_rows();
+
+ //! Builds a matrix with specified dimensions.
+ /*!
+ \param num_dimensions
+ The space dimension of the matrix that will be created.
+
+ This constructor creates a matrix with \p 2*num_dimensions rows.
+ Each element is initialized to plus infinity.
+ */
+ OR_Matrix(dimension_type num_dimensions);
+
+ //! Copy constructor.
+ OR_Matrix(const OR_Matrix& y);
+
+ //! Constructs a conservative approximation of \p y.
+ template <typename U>
+ explicit OR_Matrix(const OR_Matrix<U>& y);
+
+ //! Destructor.
+ ~OR_Matrix();
+
+ //! Assignment operator.
+ OR_Matrix& operator=(const OR_Matrix& y);
+
+private:
+ template <typename U> friend class OR_Matrix;
+
+ //! Contains the rows of the matrix.
+ /*!
+ A DB_Row which contains the rows of the OR_Matrix
+ inserting each successive row to the end of the vec.
+ To contain all the elements of OR_Matrix the size of the DB_Row
+ is 2*n*(n+1), where the n is the characteristic parameter of
+ OR_Matrix.
+ */
+ DB_Row<T> vec;
+
+ //! Contains the dimension of the space of the matrix.
+ dimension_type space_dim;
+
+ //! Contains the capacity of \p vec.
+ dimension_type vec_capacity;
+
+ //! Private and not implemented: default construction is not allowed.
+ OR_Matrix();
+
+ /*! \brief
+ Returns the index into <CODE>vec</CODE> of the first element
+ of the row of index \p k.
+ */
+ static dimension_type row_first_element_index(dimension_type k);
+
+public:
+ //! Returns the size of the row of index \p k.
+ static dimension_type row_size(dimension_type k);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(OR_Matrix& y);
+
+ //! Makes the matrix grow by adding more space dimensions.
+ /*!
+ \param new_dim
+ The new dimension of the resized matrix.
+
+ Adds new rows of right dimension to the end if
+ there is enough capacity; otherwise, creates a new matrix,
+ with the specified dimension, copying the old elements
+ in the upper part of the new matrix, which is
+ then assigned to \p *this.
+ Each new element is initialized to plus infinity.
+ */
+ void grow(dimension_type new_dim);
+
+ //! Makes the matrix shrink by removing the last space dimensions.
+ /*!
+ \param new_dim
+ The new dimension of the resized matrix.
+
+ Erases from matrix to the end the rows with index
+ greater than 2*new_dim-1.
+ */
+ void shrink(dimension_type new_dim);
+
+ //! Resizes the matrix without worrying about the old contents.
+ /*!
+ \param new_dim
+ The new dimension of the resized matrix.
+
+ If the new dimension is greater than the old one, it adds new rows
+ of right dimension to the end if there is enough capacity; otherwise,
+ it creates a new matrix, with the specified dimension, which is
+ then assigned to \p *this.
+ If the new dimension is less than the old one, it erase from the matrix
+ the rows having index greater than 2*new_dim-1
+ */
+ void resize_no_copy(dimension_type new_dim);
+
+ //! Returns the space-dimension of the matrix.
+ dimension_type space_dimension() const;
+
+ //! Returns the number of rows in the matrix.
+ dimension_type num_rows() const;
+
+ //! \name Subscript operators.
+ //@{
+ //! Returns a reference to the \p k-th row of the matrix.
+ row_reference_type operator[](dimension_type k);
+
+ //! Returns a constant reference to the \p k-th row of the matrix.
+ const_row_reference_type operator[](dimension_type k) const;
+ //@}
+
+
+ /*! \brief
+ Returns an iterator pointing to the first row,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ row_iterator row_begin();
+
+ //! Returns the past-the-end const_iterator.
+ row_iterator row_end();
+
+ /*! \brief
+ Returns a const row iterator pointing to the first row,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ const_row_iterator row_begin() const;
+
+ //! Returns the past-the-end const row iterator.
+ const_row_iterator row_end() const;
+
+ /*! \brief
+ Returns an iterator pointing to the first element,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ element_iterator element_begin();
+
+ //! Returns the past-the-end const_iterator.
+ element_iterator element_end();
+
+ /*! \brief
+ Returns a const element iterator pointing to the first element,
+ if \p *this is not empty;
+ otherwise, returns the past-the-end const_iterator.
+ */
+ const_element_iterator element_begin() const;
+
+ //! Returns the past-the-end const element iterator.
+ const_element_iterator element_end() const;
+
+ //! Clears the matrix deallocating all its rows.
+ void clear();
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ friend bool operator==<T>(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+void swap(OR_Matrix<T>& x, OR_Matrix<T>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+bool operator!=(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates OR_Matrix
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into to \p r
+ and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates OR_Matrix
+ If the Euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into to \p r
+ and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates OR_Matrix
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into to \p r
+ and returns <CODE>true</CODE>; returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "OR_Matrix_inlines.hh"
+#include "OR_Matrix_templates.hh"
+
+#endif // !defined(PPL_OR_Matrix_defs_hh)
diff --git a/src/OR_Matrix_inlines.hh b/src/OR_Matrix_inlines.hh
new file mode 100644
index 0000000..f0e8349
--- /dev/null
+++ b/src/OR_Matrix_inlines.hh
@@ -0,0 +1,751 @@
+/* OR_Matrix class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_OR_Matrix_inlines_hh
+#define PPL_OR_Matrix_inlines_hh 1
+
+#include "globals_defs.hh"
+#include "Checked_Number_defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "distances_defs.hh"
+#include "assert.hh"
+#include "checked_defs.hh"
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline dimension_type
+OR_Matrix<T>::row_first_element_index(const dimension_type k) {
+ return ((k + 1)*(k + 1))/2;
+}
+
+template <typename T>
+inline dimension_type
+OR_Matrix<T>::row_size(const dimension_type k) {
+ return k + 2 - k % 2;
+}
+
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+
+template <typename T>
+template <typename U>
+inline dimension_type
+OR_Matrix<T>::Pseudo_Row<U>::size() const {
+ return size_;
+}
+
+#endif // PPL_OR_MATRIX_EXTRA_DEBUG
+
+template <typename T>
+template <typename U>
+inline
+OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row()
+ : first(0)
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , size_(0)
+#endif
+{
+}
+
+template <typename T>
+template <typename U>
+inline
+OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row(U& y
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , dimension_type s
+#endif
+ )
+ : first(&y)
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , size_(s)
+#endif
+{
+}
+
+template <typename T>
+template <typename U>
+template <typename V>
+inline
+OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row(const Pseudo_Row<V>& y)
+ : first(y.first)
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , size_(y.size_)
+#endif
+{
+}
+
+template <typename T>
+template <typename U>
+inline OR_Matrix<T>::Pseudo_Row<U>&
+OR_Matrix<T>::Pseudo_Row<U>::operator=(const Pseudo_Row& y) {
+ first = y.first;
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ size_ = y.size_;
+#endif
+ return *this;
+}
+
+template <typename T>
+template <typename U>
+inline
+OR_Matrix<T>::Pseudo_Row<U>::~Pseudo_Row() {
+}
+
+template <typename T>
+template <typename U>
+inline U&
+OR_Matrix<T>::Pseudo_Row<U>::operator[](const dimension_type k) const {
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ PPL_ASSERT(k < size_);
+#endif
+ return *(first + k);
+}
+
+template <typename T>
+template <typename U>
+inline
+OR_Matrix<T>::any_row_iterator<U>
+::any_row_iterator(const dimension_type n_rows)
+ : value(),
+ e(n_rows)
+ // Field `i' is intentionally not initialized here.
+{
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ // Turn `value' into a valid object.
+ value.size_ = OR_Matrix::row_size(e);
+#endif
+}
+
+template <typename T>
+template <typename U>
+inline
+OR_Matrix<T>::any_row_iterator<U>::any_row_iterator(U& base)
+ : value(base
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , OR_Matrix<T>::row_size(0)
+#endif
+ ),
+ e(0),
+ i(0) {
+}
+
+template <typename T>
+template <typename U>
+template <typename V>
+inline
+OR_Matrix<T>::any_row_iterator<U>
+::any_row_iterator(const any_row_iterator<V>& y)
+ : value(y.value),
+ e(y.e),
+ i(y.i) {
+}
+
+template <typename T>
+template <typename U>
+template <typename V>
+inline typename OR_Matrix<T>::template any_row_iterator<U>&
+OR_Matrix<T>::any_row_iterator<U>::operator=(const any_row_iterator<V>& y) {
+ value = y.value;
+ e = y.e;
+ i = y.i;
+ return *this;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>::reference
+OR_Matrix<T>::any_row_iterator<U>::operator*() const {
+ return value;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>::pointer
+OR_Matrix<T>::any_row_iterator<U>::operator->() const {
+ return &value;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>&
+OR_Matrix<T>::any_row_iterator<U>::operator++() {
+ ++e;
+ dimension_type increment = e;
+ if (e % 2 != 0)
+ ++increment;
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ else {
+ value.size_ += 2;
+ }
+#endif
+ i += increment;
+ value.first += increment;
+ return *this;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>
+OR_Matrix<T>::any_row_iterator<U>::operator++(int) {
+ any_row_iterator old = *this;
+ ++(*this);
+ return old;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>&
+OR_Matrix<T>::any_row_iterator<U>::operator--() {
+ dimension_type decrement = e + 1;
+ --e;
+ if (e % 2 != 0) {
+ ++decrement;
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ value.size_ -= 2;
+#endif
+ }
+ i -= decrement;
+ value.first -= decrement;
+ return *this;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>
+OR_Matrix<T>::any_row_iterator<U>::operator--(int) {
+ any_row_iterator old = *this;
+ --(*this);
+ return old;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>&
+OR_Matrix<T>::any_row_iterator<U>::operator+=(const difference_type m) {
+ difference_type e_dt = static_cast<difference_type>(e);
+ difference_type i_dt = static_cast<difference_type>(i);
+ difference_type increment = m + (m * m) / 2 + m * e_dt;
+ if (e_dt % 2 == 0 && m % 2 != 0)
+ ++increment;
+ e_dt += m;
+ i_dt += increment;
+ e = static_cast<dimension_type>(e_dt);
+ i = static_cast<dimension_type>(i_dt);
+ value.first += increment;
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ difference_type value_size_dt = static_cast<difference_type>(value.size_);
+ value_size_dt += (m - m % 2);
+ value.size_ = static_cast<dimension_type>(value_size_dt);
+#endif
+ return *this;
+}
+
+template <typename T>
+template <typename U>
+template <typename Unsigned>
+inline typename
+Enable_If<(static_cast<Unsigned>(-1) > 0),
+ typename OR_Matrix<T>::template any_row_iterator<U>& >::type
+OR_Matrix<T>::any_row_iterator<U>::operator+=(Unsigned m) {
+ dimension_type n = m;
+ dimension_type increment = n + (n*n)/2 + n*e;
+ if (e % 2 == 0 && n % 2 != 0)
+ ++increment;
+ e += n;
+ i += increment;
+ value.first += increment;
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ value.size_ = value.size_ + n - n % 2;
+#endif
+ return *this;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>&
+OR_Matrix<T>::any_row_iterator<U>::operator-=(difference_type m) {
+ return *this += -m;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>::difference_type
+OR_Matrix<T>::any_row_iterator<U>::operator-(const any_row_iterator& y) const {
+ return e - y.e;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>
+OR_Matrix<T>::any_row_iterator<U>::operator+(difference_type m) const {
+ any_row_iterator r = *this;
+ r += m;
+ return r;
+}
+
+template <typename T>
+template <typename U>
+template <typename Unsigned>
+inline typename
+Enable_If<(static_cast<Unsigned>(-1) > 0),
+ typename OR_Matrix<T>::template any_row_iterator<U> >::type
+OR_Matrix<T>::any_row_iterator<U>::operator+(Unsigned m) const {
+ any_row_iterator r = *this;
+ r += m;
+ return r;
+}
+
+template <typename T>
+template <typename U>
+inline typename OR_Matrix<T>::template any_row_iterator<U>
+OR_Matrix<T>::any_row_iterator<U>::operator-(const difference_type m) const {
+ any_row_iterator r = *this;
+ r -= m;
+ return r;
+}
+
+template <typename T>
+template <typename U>
+inline bool
+OR_Matrix<T>::any_row_iterator<U>
+::operator==(const any_row_iterator& y) const {
+ return e == y.e;
+}
+
+template <typename T>
+template <typename U>
+inline bool
+OR_Matrix<T>::any_row_iterator<U>
+::operator!=(const any_row_iterator& y) const {
+ return e != y.e;
+}
+
+template <typename T>
+template <typename U>
+inline bool
+OR_Matrix<T>::any_row_iterator<U>::operator<(const any_row_iterator& y) const {
+ return e < y.e;
+}
+
+template <typename T>
+template <typename U>
+inline bool
+OR_Matrix<T>::any_row_iterator<U>
+::operator<=(const any_row_iterator& y) const {
+ return e <= y.e;
+}
+
+template <typename T>
+template <typename U>
+inline bool
+OR_Matrix<T>::any_row_iterator<U>::operator>(const any_row_iterator& y) const {
+ return e > y.e;
+}
+
+template <typename T>
+template <typename U>
+inline bool
+OR_Matrix<T>::any_row_iterator<U>
+::operator>=(const any_row_iterator& y) const {
+ return e >= y.e;
+}
+
+template <typename T>
+template <typename U>
+inline dimension_type
+OR_Matrix<T>::any_row_iterator<U>::row_size() const {
+ return OR_Matrix::row_size(e);
+}
+
+template <typename T>
+template <typename U>
+inline dimension_type
+OR_Matrix<T>::any_row_iterator<U>::index() const {
+ return e;
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::row_iterator
+OR_Matrix<T>::row_begin() {
+ return num_rows() == 0 ? row_iterator(0) : row_iterator(vec[0]);
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::row_iterator
+OR_Matrix<T>::row_end() {
+ return row_iterator(num_rows());
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::const_row_iterator
+OR_Matrix<T>::row_begin() const {
+ return num_rows() == 0 ? const_row_iterator(0) : const_row_iterator(vec[0]);
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::const_row_iterator
+OR_Matrix<T>::row_end() const {
+ return const_row_iterator(num_rows());
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::element_iterator
+OR_Matrix<T>::element_begin() {
+ return vec.begin();
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::element_iterator
+OR_Matrix<T>::element_end() {
+ return vec.end();
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::const_element_iterator
+OR_Matrix<T>::element_begin() const {
+ return vec.begin();
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::const_element_iterator
+OR_Matrix<T>::element_end() const {
+ return vec.end();
+}
+
+template <typename T>
+inline void
+OR_Matrix<T>::m_swap(OR_Matrix& y) {
+ using std::swap;
+ swap(vec, y.vec);
+ swap(space_dim, y.space_dim);
+ swap(vec_capacity, y.vec_capacity);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the integer square root of \p x.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+inline dimension_type
+isqrt(dimension_type x) {
+ dimension_type r = 0;
+ const dimension_type FIRST_BIT_MASK = 0x40000000U;
+ for (dimension_type t = FIRST_BIT_MASK; t != 0; t >>= 2) {
+ const dimension_type s = r + t;
+ if (s <= x) {
+ x -= s;
+ r = s + t;
+ }
+ r >>= 1;
+ }
+ return r;
+}
+
+template <typename T>
+inline dimension_type
+OR_Matrix<T>::max_num_rows() {
+ // Compute the maximum number of rows that are contained in a DB_Row
+ // that allocates a pseudo-triangular matrix.
+ const dimension_type k = isqrt(2*DB_Row<T>::max_size() + 1);
+ return (k - 1) - (k - 1) % 2;
+}
+
+template <typename T>
+inline memory_size_type
+OR_Matrix<T>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename T>
+inline
+OR_Matrix<T>::OR_Matrix(const dimension_type num_dimensions)
+ : vec(2*num_dimensions*(num_dimensions + 1)),
+ space_dim(num_dimensions),
+ vec_capacity(vec.size()) {
+}
+
+template <typename T>
+inline
+OR_Matrix<T>::~OR_Matrix() {
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::row_reference_type
+OR_Matrix<T>::operator[](dimension_type k) {
+ return row_reference_type(vec[row_first_element_index(k)]
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , row_size(k)
+#endif
+ );
+}
+
+template <typename T>
+inline typename OR_Matrix<T>::const_row_reference_type
+OR_Matrix<T>::operator[](dimension_type k) const {
+ return const_row_reference_type(vec[row_first_element_index(k)]
+#if PPL_OR_MATRIX_EXTRA_DEBUG
+ , row_size(k)
+#endif
+ );
+}
+
+template <typename T>
+inline dimension_type
+OR_Matrix<T>::space_dimension() const {
+ return space_dim;
+}
+
+template <typename T>
+inline dimension_type
+OR_Matrix<T>::num_rows() const {
+ return 2*space_dimension();
+}
+
+template <typename T>
+inline void
+OR_Matrix<T>::clear() {
+ OR_Matrix<T>(0).m_swap(*this);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+inline bool
+operator==(const OR_Matrix<T>& x, const OR_Matrix<T>& y) {
+ return x.space_dim == y.space_dim && x.vec == y.vec;
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+inline bool
+operator!=(const OR_Matrix<T>& x, const OR_Matrix<T>& y) {
+ return !(x == y);
+}
+
+template <typename T>
+inline
+OR_Matrix<T>::OR_Matrix(const OR_Matrix& y)
+ : vec(y.vec),
+ space_dim(y.space_dim),
+ vec_capacity(compute_capacity(y.vec.size(),
+ DB_Row<T>::max_size())) {
+}
+
+template <typename T>
+template <typename U>
+inline
+OR_Matrix<T>::OR_Matrix(const OR_Matrix<U>& y)
+ : vec(),
+ space_dim(y.space_dim),
+ vec_capacity(compute_capacity(y.vec.size(),
+ DB_Row<T>::max_size())) {
+ vec.construct_upward_approximation(y.vec, vec_capacity);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline OR_Matrix<T>&
+OR_Matrix<T>::operator=(const OR_Matrix& y) {
+ vec = y.vec;
+ space_dim = y.space_dim;
+ vec_capacity = compute_capacity(y.vec.size(), DB_Row<T>::max_size());
+ return *this;
+}
+
+template <typename T>
+inline void
+OR_Matrix<T>::grow(const dimension_type new_dim) {
+ PPL_ASSERT(new_dim >= space_dim);
+ if (new_dim > space_dim) {
+ const dimension_type new_size = 2*new_dim*(new_dim + 1);
+ if (new_size <= vec_capacity) {
+ // We can recycle the old vec.
+ vec.expand_within_capacity(new_size);
+ space_dim = new_dim;
+ }
+ else {
+ // We cannot recycle the old vec.
+ OR_Matrix<T> new_matrix(new_dim);
+ element_iterator j = new_matrix.element_begin();
+ for (element_iterator i = element_begin(),
+ mend = element_end(); i != mend; ++i, ++j)
+ assign_or_swap(*j, *i);
+ m_swap(new_matrix);
+ }
+ }
+}
+
+template <typename T>
+inline void
+OR_Matrix<T>::shrink(const dimension_type new_dim) {
+ PPL_ASSERT(new_dim <= space_dim);
+ const dimension_type new_size = 2*new_dim*(new_dim + 1);
+ vec.shrink(new_size);
+ space_dim = new_dim;
+}
+
+template <typename T>
+inline void
+OR_Matrix<T>::resize_no_copy(const dimension_type new_dim) {
+ if (new_dim > space_dim) {
+ const dimension_type new_size = 2*new_dim*(new_dim + 1);
+ if (new_size <= vec_capacity) {
+ // We can recycle the old vec.
+ vec.expand_within_capacity(new_size);
+ space_dim = new_dim;
+ }
+ else {
+ // We cannot recycle the old vec.
+ OR_Matrix<T> new_matrix(new_dim);
+ m_swap(new_matrix);
+ }
+ }
+ else if (new_dim < space_dim)
+ shrink(new_dim);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Specialization, typename Temp, typename To, typename T>
+inline bool
+l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ if (x.num_rows() != y.num_rows())
+ return false;
+ assign_r(tmp0, 0, ROUND_NOT_NEEDED);
+ for (typename OR_Matrix<T>::const_element_iterator
+ i = x.element_begin(), j = y.element_begin(),
+ mat_end = x.element_end(); i != mat_end; ++i, ++j) {
+ const T& x_i = *i;
+ const T& y_i = *j;
+ if (is_plus_infinity(x_i)) {
+ if (is_plus_infinity(y_i))
+ continue;
+ else {
+ pinf:
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+ }
+ else if (is_plus_infinity(y_i))
+ goto pinf;
+
+ const Temp* tmp1p;
+ const Temp* tmp2p;
+ if (x_i > y_i) {
+ maybe_assign(tmp1p, tmp1, x_i, dir);
+ maybe_assign(tmp2p, tmp2, y_i, inverse(dir));
+ }
+ else {
+ maybe_assign(tmp1p, tmp1, y_i, dir);
+ maybe_assign(tmp2p, tmp2, x_i, inverse(dir));
+ }
+ sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
+ PPL_ASSERT(sgn(tmp1) >= 0);
+ Specialization::combine(tmp0, tmp1, dir);
+ }
+
+ Specialization::finalize(tmp0, dir);
+ assign_r(r, tmp0, dir);
+ return true;
+}
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return
+ l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >(r, x, y,
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return
+ l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >(r, x, y,
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Temp, typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ return
+ l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >(r, x, y,
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
+}
+
+/*! \relates OR_Matrix */
+template <typename T>
+inline void
+swap(OR_Matrix<T>& x, OR_Matrix<T>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_OR_Matrix_inlines_hh)
diff --git a/src/OR_Matrix_templates.hh b/src/OR_Matrix_templates.hh
new file mode 100644
index 0000000..303677a
--- /dev/null
+++ b/src/OR_Matrix_templates.hh
@@ -0,0 +1,124 @@
+/* OR_Matrix class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_OR_Matrix_templates_hh
+#define PPL_OR_Matrix_templates_hh 1
+
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+memory_size_type
+OR_Matrix<T>::external_memory_in_bytes() const{
+ return vec.external_memory_in_bytes();
+}
+
+template <typename T>
+bool
+OR_Matrix<T>::OK() const {
+#ifndef NDEBUG
+ using std::endl;
+ using std::cerr;
+#endif
+ // The right number of cells should be in use.
+ const dimension_type dim = space_dimension();
+ if (vec.size() != 2*dim*(dim + 1)) {
+#ifndef NDEBUG
+ cerr << "OR_Matrix has a wrong number of cells:\n"
+ << "vec.size() is " << vec.size()
+ << ", expected size is " << (2*dim*(dim+1)) << "!\n";
+#endif
+ return false;
+ }
+
+ // The underlying DB_Row should be OK.
+ if (!vec.OK(vec.size(), vec_capacity))
+ return false;
+
+ // All checks passed.
+ return true;
+}
+
+template <typename T>
+void
+OR_Matrix<T>::ascii_dump(std::ostream& s) const {
+ const OR_Matrix<T>& x = *this;
+ const char separator = ' ';
+ dimension_type space = x.space_dimension();
+ s << space << separator << "\n";
+ for (const_row_iterator i = x.row_begin(),
+ x_row_end = x.row_end(); i != x_row_end; ++i) {
+ const_row_reference_type r = *i;
+ dimension_type rs = i.row_size();
+ for (dimension_type j = 0; j < rs; ++j) {
+ using namespace IO_Operators;
+ s << r[j] << separator;
+ }
+ s << "\n";
+ }
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, OR_Matrix<T>)
+
+template <typename T>
+bool
+OR_Matrix<T>::ascii_load(std::istream& s) {
+ dimension_type space;
+ if (!(s >> space))
+ return false;
+ resize_no_copy(space);
+ for (row_iterator i = row_begin(),
+ this_row_end = row_end(); i != this_row_end; ++i) {
+ row_reference_type r_i = *i;
+ const dimension_type rs = i.row_size();
+ for (dimension_type j = 0; j < rs; ++j) {
+ Result r = input(r_i[j], s, ROUND_CHECK);
+ if (result_relation(r) != VR_EQ || is_minus_infinity(r_i[j]))
+ return false;
+ }
+ }
+ PPL_ASSERT(OK());
+ return true;
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Parma_Polyhedra_Library::OR_Matrix */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+std::ostream&
+IO_Operators::operator<<(std::ostream& s, const OR_Matrix<T>& m) {
+ for (typename OR_Matrix<T>::const_row_iterator m_iter = m.row_begin(),
+ m_end = m.row_end(); m_iter != m_end; ++m_iter) {
+ typename OR_Matrix<T>::const_row_reference_type r_m = *m_iter;
+ const dimension_type mr_size = m_iter.row_size();
+ for (dimension_type j = 0; j < mr_size; ++j)
+ s << r_m[j] << " ";
+ s << "\n";
+ }
+ return s;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_OR_Matrix_templates_hh)
diff --git a/src/OR_Matrix_types.hh b/src/OR_Matrix_types.hh
new file mode 100644
index 0000000..2b46764
--- /dev/null
+++ b/src/OR_Matrix_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_OR_Matrix_types_hh
+#define PPL_OR_Matrix_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class OR_Matrix;
+
+}
+
+#endif // !defined(PPL_OR_Matrix_types_hh)
diff --git a/src/Octagonal_Shape.cc b/src/Octagonal_Shape.cc
index c9d0cf8..924f21e 100644
--- a/src/Octagonal_Shape.cc
+++ b/src/Octagonal_Shape.cc
@@ -1,6 +1,6 @@
/* Octagonal_Shape class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Octagonal_Shape.defs.hh"
+#include "Octagonal_Shape_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
diff --git a/src/Octagonal_Shape.defs.hh b/src/Octagonal_Shape.defs.hh
deleted file mode 100644
index e6f1d4f..0000000
--- a/src/Octagonal_Shape.defs.hh
+++ /dev/null
@@ -1,2324 +0,0 @@
-/* Octagonal_Shape class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Octagonal_Shape_defs_hh
-#define PPL_Octagonal_Shape_defs_hh 1
-
-#include "Octagonal_Shape.types.hh"
-#include "globals.types.hh"
-#include "Constraint.types.hh"
-#include "Generator.types.hh"
-#include "Congruence.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint_System.types.hh"
-#include "Generator_System.types.hh"
-#include "Congruence_System.types.hh"
-#include "OR_Matrix.defs.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "Polyhedron.types.hh"
-#include "Box.types.hh"
-#include "Grid.types.hh"
-#include "BD_Shape.types.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.types.hh"
-#include "Checked_Number.defs.hh"
-#include "WRD_coefficient_types.defs.hh"
-#include "Bit_Row.defs.hh"
-#include "Interval.types.hh"
-#include "Linear_Form.types.hh"
-#include <vector>
-#include <cstddef>
-#include <climits>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Octagonal_Shape
- Writes a textual representation of \p oct on \p s:
- <CODE>false</CODE> is written if \p oct is an empty polyhedron;
- <CODE>true</CODE> is written if \p oct is a universe polyhedron;
- a system of constraints defining \p oct is written otherwise,
- all constraints separated by ", ".
-*/
-template <typename T>
-std::ostream&
-operator<<(std::ostream& s, const Octagonal_Shape<T>& oct);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Octagonal_Shape */
-template <typename T>
-void swap(Octagonal_Shape<T>& x, Octagonal_Shape<T>& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x and \p y are the same octagon.
-
- \relates Octagonal_Shape
- Note that \p x and \p y may be dimension-incompatible shapes:
- in this case, the value <CODE>false</CODE> is returned.
-*/
-template <typename T>
-bool operator==(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x and \p y are different shapes.
-
- \relates Octagonal_Shape
- Note that \p x and \p y may be dimension-incompatible shapes:
- in this case, the value <CODE>true</CODE> is returned.
-*/
-template <typename T>
-bool operator!=(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the rectilinear distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename T>
-bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the euclidean distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the euclidean distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename T>
-bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
-*/
-template <typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
-*/
-template <typename Temp, typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir);
-
-//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
-/*! \relates Octagonal_Shape
- If the \f$L_\infty\f$ distance between \p x and \p y is defined,
- stores an approximation of it into \p r and returns <CODE>true</CODE>;
- returns <CODE>false</CODE> otherwise.
-
- The direction of the approximation is specified by \p dir.
-
- All computations are performed using the temporary variables
- \p tmp0, \p tmp1 and \p tmp2.
-*/
-template <typename Temp, typename To, typename T>
-bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
-
-// This class contains some helper functions that need to be friends of
-// Linear_Expression.
-class Octagonal_Shape_Helper {
-public:
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Decodes the constraint \p c as an octagonal difference.
- /*! \relates Octagonal_Shape
- \return
- <CODE>true</CODE> if the constraint \p c is an octagonal difference;
- <CODE>false</CODE> otherwise.
-
- \param c
- The constraint to be decoded.
-
- \param c_space_dim
- The space dimension of the constraint \p c (it is <EM>assumed</EM>
- to match the actual space dimension of \p c).
-
- \param c_num_vars
- If <CODE>true</CODE> is returned, then it will be set to the number
- of variables having a non-zero coefficient. The only legal values
- will therefore be 0, 1 and 2.
-
- \param c_first_var
- If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
- then it will be set to the index of the first variable having
- a non-zero coefficient in \p c.
-
- \param c_second_var
- If <CODE>true</CODE> is returned and if \p c_num_vars is set to 2,
- then it will be set to the index of the second variable having
- a non-zero coefficient in \p c.
-
- \param c_coeff
- If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
- then it will be set to the value of the first non-zero coefficient
- in \p c.
-
- \param c_term
- If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
- then it will be set to the right value of the inhomogeneous term
- of \p c.
- */
- #endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- static bool extract_octagonal_difference(const Constraint& c,
- dimension_type c_space_dim,
- dimension_type& c_num_vars,
- dimension_type& c_first_var,
- dimension_type& c_second_var,
- Coefficient& c_coeff,
- Coefficient& c_term);
-};
-
-} // namespace Parma_Polyhedra_Library
-
-//! An octagonal shape.
-/*! \ingroup PPL_CXX_interface
- The class template Octagonal_Shape<T> allows for the efficient
- representation of a restricted kind of <EM>topologically closed</EM>
- convex polyhedra called <EM>octagonal shapes</EM> (OSs, for short).
- The name comes from the fact that, in a vector space of dimension 2,
- bounded OSs are polygons with at most eight sides.
- The closed affine half-spaces that characterize the OS can be expressed
- by constraints of the form
- \f[
- ax_i + bx_j \leq k
- \f]
- where \f$a, b \in \{-1, 0, 1\}\f$ and \f$k\f$ is a rational number,
- which are called <EM>octagonal constraints</EM>.
-
- Based on the class template type parameter \p T, a family of extended
- numbers is built and used to approximate the inhomogeneous term of
- octagonal constraints. These extended numbers provide a representation
- for the value \f$+\infty\f$, as well as <EM>rounding-aware</EM>
- implementations for several arithmetic functions.
- The value of the type parameter \p T may be one of the following:
- - a bounded precision integer type (e.g., \c int32_t or \c int64_t);
- - a bounded precision floating point type (e.g., \c float or \c double);
- - an unbounded integer or rational type, as provided by GMP
- (i.e., \c mpz_class or \c mpq_class).
-
- The user interface for OSs is meant to be as similar as possible to
- the one developed for the polyhedron class C_Polyhedron.
-
- The OS domain <EM>optimally supports</EM>:
- - tautological and inconsistent constraints and congruences;
- - octagonal constraints;
- - non-proper congruences (i.e., equalities) that are expressible
- as octagonal constraints.
-
- Depending on the method, using a constraint or congruence that is not
- optimally supported by the domain will either raise an exception or
- result in a (possibly non-optimal) upward approximation.
-
- A constraint is octagonal if it has the form
- \f[
- \pm a_i x_i \pm a_j x_j \relsym b
- \f]
- where \f$\mathord{\relsym} \in \{ \leq, =, \geq \}\f$ and
- \f$a_i\f$, \f$a_j\f$, \f$b\f$ are integer coefficients such that
- \f$a_i = 0\f$, or \f$a_j = 0\f$, or \f$a_i = a_j\f$.
- The user is warned that the above octagonal Constraint object
- will be mapped into a \e correct and \e optimal approximation that,
- depending on the expressive power of the chosen template argument \p T,
- may loose some precision.
- Also note that strict constraints are not octagonal.
-
- For instance, a Constraint object encoding \f$3x + 3y \leq 1\f$ will be
- approximated by:
- - \f$x + y \leq 1\f$,
- if \p T is a (bounded or unbounded) integer type;
- - \f$x + y \leq \frac{1}{3}\f$,
- if \p T is the unbounded rational type \c mpq_class;
- - \f$x + y \leq k\f$, where \f$k > \frac{1}{3}\f$,
- if \p T is a floating point type (having no exact representation
- for \f$\frac{1}{3}\f$).
-
- On the other hand, depending from the context, a Constraint object
- encoding \f$3x - y \leq 1\f$ will be either upward approximated
- (e.g., by safely ignoring it) or it will cause an exception.
-
- In the following examples it is assumed that the type argument \p T
- is one of the possible instances listed above and that variables
- \c x, \c y and \c z are defined (where they are used) as follows:
- \code
- Variable x(0);
- Variable y(1);
- Variable z(2);
- \endcode
-
- \par Example 1
- The following code builds an OS corresponding to a cube in \f$\Rset^3\f$,
- given as a system of constraints:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x <= 3);
- cs.insert(y >= 0);
- cs.insert(y <= 3);
- cs.insert(z >= 0);
- cs.insert(z <= 3);
- Octagonal_Shape<T> oct(cs);
- \endcode
- In contrast, the following code will raise an exception,
- since constraints 7, 8, and 9 are not octagonal:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x <= 3);
- cs.insert(y >= 0);
- cs.insert(y <= 3);
- cs.insert(z >= 0);
- cs.insert(z <= 3);
- cs.insert(x - 3*y <= 5); // (7)
- cs.insert(x - y + z <= 5); // (8)
- cs.insert(x + y + z <= 5); // (9)
- Octagonal_Shape<T> oct(cs);
- \endcode
-*/
-template <typename T>
-class Parma_Polyhedra_Library::Octagonal_Shape {
-private:
- /*! \brief
- The (extended) numeric type of the inhomogeneous term of
- the inequalities defining an OS.
- */
-#ifndef NDEBUG
- typedef Checked_Number<T, Debug_WRD_Extended_Number_Policy> N;
-#else
- typedef Checked_Number<T, WRD_Extended_Number_Policy> N;
-#endif
-
-public:
-
- //! The numeric base type upon which OSs are built.
- typedef T coefficient_type_base;
-
- /*! \brief
- The (extended) numeric type of the inhomogeneous term of the
- inequalities defining an OS.
- */
- typedef N coefficient_type;
-
- //! Returns the maximum space dimension that an OS can handle.
- static dimension_type max_space_dimension();
-
- /*! \brief
- Returns false indicating that this domain cannot recycle constraints
- */
- static bool can_recycle_constraint_systems();
-
- /*! \brief
- Returns false indicating that this domain cannot recycle congruences
- */
- static bool can_recycle_congruence_systems();
-
- //! \name Constructors, Assignment, Swap and Destructor
- //@{
-
- //! Builds an universe or empty OS of the specified space dimension.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the OS;
-
- \param kind
- Specifies whether the universe or the empty OS has to be built.
- */
- explicit Octagonal_Shape(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- Octagonal_Shape(const Octagonal_Shape& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a conservative, upward approximation of \p y.
- /*!
- The complexity argument is ignored.
- */
- template <typename U>
- explicit Octagonal_Shape(const Octagonal_Shape<U>& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds an OS from the system of constraints \p cs.
- /*!
- The OS inherits the space dimension of \p cs.
-
- \param cs
- A system of octagonal constraints.
-
- \exception std::invalid_argument
- Thrown if \p cs contains a constraint which is not optimally supported
- by the Octagonal shape domain.
- */
- explicit Octagonal_Shape(const Constraint_System& cs);
-
- //! Builds an OS from a system of congruences.
- /*!
- The OS inherits the space dimension of \p cgs
-
- \param cgs
- A system of congruences.
-
- \exception std::invalid_argument
- Thrown if \p cgs contains a congruence which is not optimally supported
- by the Octagonal shape domain.
- */
- explicit Octagonal_Shape(const Congruence_System& cgs);
-
- //! Builds an OS from the system of generators \p gs.
- /*!
- Builds the smallest OS containing the polyhedron defined by \p gs.
- The OS inherits the space dimension of \p gs.
-
- \exception std::invalid_argument
- Thrown if the system of generators is not empty but has no points.
- */
- explicit Octagonal_Shape(const Generator_System& gs);
-
- //! Builds an OS from the polyhedron \p ph.
- /*!
- Builds an OS containing \p ph using algorithms whose complexity
- does not exceed the one specified by \p complexity. If
- \p complexity is \p ANY_COMPLEXITY, then the OS built is the
- smallest one containing \p ph.
- */
- explicit Octagonal_Shape(const Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds an OS out of a box.
- /*!
- The OS inherits the space dimension of the box.
- The built OS is the most precise OS that includes the box.
-
- \param box
- The box representing the OS to be built.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum
- allowed space dimension.
- */
- template <typename Interval>
- explicit Octagonal_Shape(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds an OS that approximates a grid.
- /*!
- The OS inherits the space dimension of the grid.
- The built OS is the most precise OS that includes the grid.
-
- \param grid
- The grid used to build the OS.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p grid exceeds the maximum
- allowed space dimension.
- */
- explicit Octagonal_Shape(const Grid& grid,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds an OS from a BD shape.
- /*!
- The OS inherits the space dimension of the BD shape.
- The built OS is the most precise OS that includes the BD shape.
-
- \param bd
- The BD shape used to build the OS.
-
- \param complexity
- This argument is ignored as the algorithm used has
- polynomial complexity.
-
- \exception std::length_error
- Thrown if the space dimension of \p bd exceeds the maximum
- allowed space dimension.
- */
- template <typename U>
- explicit Octagonal_Shape(const BD_Shape<U>& bd,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator.
- (\p *this and \p y can be dimension-incompatible.)
- */
- Octagonal_Shape& operator=(const Octagonal_Shape& y);
-
- /*! \brief
- Swaps \p *this with octagon \p y.
- (\p *this and \p y can be dimension-incompatible.)
- */
- void m_swap(Octagonal_Shape& y);
-
- //! Destructor.
- ~Octagonal_Shape();
-
- //@} Constructors, Assignment, Swap and Destructor
-
- //! \name Member Functions that Do Not Modify the Octagonal_Shape
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns \f$0\f$, if \p *this is empty; otherwise, returns the
- \ref Affine_Independence_and_Affine_Dimension "affine dimension"
- of \p *this.
- */
- dimension_type affine_dimension() const;
-
- //! Returns the system of constraints defining \p *this.
- Constraint_System constraints() const;
-
- //! Returns a minimized system of constraints defining \p *this.
- Constraint_System minimized_constraints() const;
-
- //! Returns a system of (equality) congruences satisfied by \p *this.
- Congruence_System congruences() const;
-
- /*! \brief
- Returns a minimal system of (equality) congruences
- satisfied by \p *this with the same affine dimension as \p *this.
- */
- Congruence_System minimized_congruences() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool contains(const Octagonal_Shape& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool strictly_contains(const Octagonal_Shape& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
- /*!
- \exception std::invalid_argument
- Thrown if \p x and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool is_disjoint_from(const Octagonal_Shape& y) const;
-
- /*! \brief
- Returns the relations holding between \p *this and the constraint \p c.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- /*! \brief
- Returns the relations holding between \p *this and the congruence \p cg.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cg are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- /*! \brief
- Returns the relations holding between \p *this and the generator \p g.
-
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- Poly_Gen_Relation relation_with(const Generator& g) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is an empty OS.
- bool is_empty() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is a universe OS.
- bool is_universe() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
- bool is_discrete() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a bounded OS.
- */
- bool is_bounded() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a topologically closed subset of the vector space.
- */
- bool is_topologically_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains (at least) an integer point.
- */
- bool contains_integer_point() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- bool constrains(Variable var) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from above in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from below in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d
- and \p maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value;
-
- \param g
- When maximization succeeds, will be assigned the point or
- closure point where \p expr reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p g are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value;
-
- \param g
- When minimization succeeds, will be assigned a point or
- closure point where \p expr reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p g are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if there exist a
- unique value \p val such that \p *this
- saturates the equality <CODE>expr = val</CODE>.
-
- \param expr
- The linear expression for which the frequency is needed;
-
- \param freq_n
- If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
- Present for interface compatibility with class Grid, where
- the \ref Grid_Frequency "frequency" can have a non-zero value;
-
- \param freq_d
- If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
-
- \param val_n
- The numerator of \p val;
-
- \param val_d
- The denominator of \p val;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
- \p val_n and \p val_d are left untouched.
- */
- bool frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //@} Member Functions that Do Not Modify the Octagonal_Shape
-
- //! \name Space-Dimension Preserving Member Functions that May Modify the Octagonal_Shape
- //@{
-
- /*! \brief
- Adds a copy of constraint \p c to the system of constraints
- defining \p *this.
-
- \param c
- The constraint to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible,
- or \p c is not optimally supported by the OS domain.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds the constraints in \p cs to the system of constraints
- defining \p *this.
-
- \param cs
- The constraints that will be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible,
- or \p cs contains a constraint which is not optimally supported
- by the OS domain.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Adds the constraints in \p cs to the system of constraints
- of \p *this.
-
- \param cs
- The constraint system to be added to \p *this. The constraints in
- \p cs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible,
- or \p cs contains a constraint which is not optimally supported
- by the OS domain.
-
- \warning
- The only assumption that can be made on \p cs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_constraints(Constraint_System& cs);
-
- /*! \brief
- Adds to \p *this a constraint equivalent to the congruence \p cg.
-
- \param cg
- The congruence to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible,
- or \p cg is not optimally supported by the OS domain.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Adds to \p *this constraints equivalent to the congruences in \p cgs.
-
- \param cgs
- The congruences to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- or \p cgs contains a congruence which is not optimally supported
- by the OS domain.
- */
- void add_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Adds to \p *this constraints equivalent to the congruences in \p cgs.
-
- \param cgs
- The congruence system to be added to \p *this. The congruences in
- \p cgs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- or \p cgs contains a congruence which is not optimally supported
- by the OS domain.
-
- \warning
- The only assumption that can be made on \p cgs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_congruences(Congruence_System& cgs);
-
- /*! \brief
- Uses a copy of constraint \p c to refine the system of octagonal
- constraints defining \p *this.
-
- \param c
- The constraint. If it is not a octagonal constraint, it will be ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- /*! \brief
- Uses a copy of congruence \p cg to refine the system of
- octagonal constraints of \p *this.
-
- \param cg
- The congruence. If it is not a octagonal equality, it
- will be ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- /*! \brief
- Uses a copy of the constraints in \p cs to refine the system of
- octagonal constraints defining \p *this.
-
- \param cs
- The constraint system to be used. Constraints that are not octagonal
- are ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- /*! \brief
- Uses a copy of the congruences in \p cgs to refine the system of
- octagonal constraints defining \p *this.
-
- \param cgs
- The congruence system to be used. Congruences that are not octagonal
- equalities are ignored.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Refines the system of octagonal constraints defining \p *this using
- the constraint expressed by \p left \f$\leq\f$ \p right.
-
- \param left
- The linear form on intervals with floating point boundaries that
- is at the left of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param right
- The linear form on intervals with floating point boundaries that
- is at the right of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \exception std::invalid_argument
- Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
-
- This function is used in abstract interpretation to model a filter
- that is generated by a comparison of two expressions that are correctly
- approximated by \p left and \p right respectively.
- */
- template <typename Interval_Info>
- void refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right);
-
- /*! \brief
- Refines the system of octagonal constraints defining \p *this using
- the constraint expressed by \p left \f$\relsym\f$ \p right, where
- \f$\relsym\f$ is the relation symbol specified by \p relsym.
-
- \param left
- The linear form on intervals with floating point boundaries that
- is at the left of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param right
- The linear form on intervals with floating point boundaries that
- is at the right of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param relsym
- The relation symbol.
-
- \exception std::invalid_argument
- Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
-
- \exception std::runtime_error
- Thrown if \p relsym is not a valid relation symbol.
-
- This function is used in abstract interpretation to model a filter
- that is generated by a comparison of two expressions that are correctly
- approximated by \p left and \p right respectively.
- */
- template <typename Interval_Info>
- void generalized_refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right,
- Relation_Symbol relsym);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- //! Assigns to \p *this the intersection of \p *this and \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void intersection_assign(const Octagonal_Shape& y);
-
- /*! \brief
- Assigns to \p *this the smallest OS that contains
- the convex union of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void upper_bound_assign(const Octagonal_Shape& y);
-
- /*! \brief
- If the upper bound of \p *this and \p y is exact, it is assigned
- to \p *this and <CODE>true</CODE> is returned,
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- Implementation is based on Theorem 6.3 of \ref BHZ09b "[BHZ09b]".
- */
- bool upper_bound_assign_if_exact(const Octagonal_Shape& y);
-
- /*! \brief
- If the \e integer upper bound of \p *this and \p y is exact,
- it is assigned to \p *this and <CODE>true</CODE> is returned;
- otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \note
- This operator is only available when the class template parameter
- \c T is bound to an integer data type.
-
- \note
- The integer upper bound of two rational OS is the smallest
- rational OS containing all the integral points in the two arguments.
- In general, the result is \e not an upper bound for the two input
- arguments, as it may cut away non-integral portions of the two
- rational shapes.
-
- Implementation is based on Theorem 6.8 of \ref BHZ09b "[BHZ09b]".
- */
- bool integer_upper_bound_assign_if_exact(const Octagonal_Shape& y);
-
- /*! \brief
- Assigns to \p *this the smallest octagon containing
- the set difference of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void difference_assign(const Octagonal_Shape& y);
-
- /*! \brief
- Assigns to \p *this a \ref Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
- If \c false is returned, then the intersection is empty.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool simplify_using_context_assign(const Octagonal_Shape& y);
-
- /*! \brief
- Assigns to \p *this the \ref affine_relation "affine image"
- of \p *this under the function mapping variable \p var into the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned.
-
- \param expr
- The numerator of the affine expression.
-
- \param denominator
- The denominator of the affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension of \p *this.
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- // FIXME: To be completed.
- /*! \brief
- Assigns to \p *this the \ref affine_form_relation "affine form image"
- of \p *this under the function mapping variable \p var into the
- affine expression(s) specified by \p lf.
-
- \param var
- The variable to which the affine expression is assigned.
-
- \param lf
- The linear form on intervals with floating point boundaries that
- defines the affine expression(s). ALL of its coefficients MUST be bounded.
-
- \exception std::invalid_argument
- Thrown if \p lf and \p *this are dimension-incompatible or if \p var
- is not a dimension of \p *this.
-
- This function is used in abstract interpretation to model an assignment
- of a value that is correctly overapproximated by \p lf to the
- floating point variable represented by \p var.
- */
- template <typename Interval_Info>
- void affine_form_image(Variable var,
- const Linear_Form< Interval<T, Interval_Info> >& lf);
-
- /*! \brief
- Assigns to \p *this the \ref affine_relation "affine preimage"
- of \p *this under the function mapping variable \p var into the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is substituted.
-
- \param expr
- The numerator of the affine expression.
-
- \param denominator
- The denominator of the affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension of \p *this.
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine transfer function"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine transfer function.
-
- \param relsym
- The relation symbol.
-
- \param expr
- The numerator of the right hand side affine expression.
-
- \param denominator
- The denominator of the right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension of \p *this
- or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine transfer function"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression.
-
- \param relsym
- The relation symbol.
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*!
- \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
-/*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine transfer function.
-
- \param relsym
- The relation symbol.
-
- \param expr
- The numerator of the right hand side affine expression.
-
- \param denominator
- The denominator of the right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this
- are dimension-incompatible or if \p var is not a dimension
- of \p *this or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p relsym is a strict relation symbol.
- */
- void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*!
- \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void time_elapse_assign(const Octagonal_Shape& y);
-
- /*! \brief
- \ref Wrapping_Operator "Wraps" the specified dimensions of the
- vector space.
-
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be wrapped.
-
- \param w
- The width of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param r
- The representation of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param o
- The overflow behavior of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param cs_p
- Possibly null pointer to a constraint system whose variables
- are contained in \p vars. If <CODE>*cs_p</CODE> depends on
- variables not in \p vars, the behavior is undefined.
- When non-null, the pointed-to constraint system is assumed to
- represent the conditional or looping construct guard with respect
- to which wrapping is performed. Since wrapping requires the
- computation of upper bounds and due to non-distributivity of
- constraint refinement over upper bounds, passing a constraint
- system in this way can be more precise than refining the result of
- the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
-
- \param complexity_threshold
- A precision parameter of the \ref Wrapping_Operator "wrapping operator":
- higher values result in possibly improved precision.
-
- \param wrap_individually
- <CODE>true</CODE> if the dimensions should be wrapped individually
- (something that results in much greater efficiency to the detriment of
- precision).
-
- \exception std::invalid_argument
- Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
- \p vars, or if \p *this is dimension-incompatible \p vars or with
- <CODE>*cs_p</CODE>.
- */
- void wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p = 0,
- unsigned complexity_threshold = 16,
- bool wrap_individually = true);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
-
- \param y
- An OS that <EM>must</EM> be contained in \p *this.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void CC76_extrapolation_assign(const Octagonal_Shape& y, unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
-
- \param y
- An OS that <EM>must</EM> be contained in \p *this.
-
- \param first
- An iterator that points to the first stop_point.
-
- \param last
- An iterator that points to the last stop_point.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- template <typename Iterator>
- void CC76_extrapolation_assign(const Octagonal_Shape& y,
- Iterator first, Iterator last,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref BHMZ05_widening "BHMZ05-widening" between \p *this and \p y.
-
- \param y
- An OS that <EM>must</EM> be contained in \p *this.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void BHMZ05_widening_assign(const Octagonal_Shape& y, unsigned* tp = 0);
-
- //! Same as BHMZ05_widening_assign(y, tp).
- void widening_assign(const Octagonal_Shape& y, unsigned* tp = 0);
-
- /*! \brief
- Improves the result of the \ref BHMZ05_widening "BHMZ05-widening"
- computation by also enforcing those constraints in \p cs that are
- satisfied by all the points of \p *this.
-
- \param y
- An OS that <EM>must</EM> be contained in \p *this.
-
- \param cs
- The system of constraints used to improve the widened OS.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are dimension-incompatible or
- if there is in \p cs a strict inequality.
- */
- void limited_BHMZ05_extrapolation_assign(const Octagonal_Shape& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Restores from \p y the constraints of \p *this, lost by
- \ref CC76_extrapolation "CC76-extrapolation" applications.
-
- \param y
- An OS that <EM>must</EM> contain \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void CC76_narrowing_assign(const Octagonal_Shape& y);
-
- /*! \brief
- Improves the result of the \ref CC76_extrapolation "CC76-extrapolation"
- computation by also enforcing those constraints in \p cs that are
- satisfied by all the points of \p *this.
-
- \param y
- An OS that <EM>must</EM> be contained in \p *this.
-
- \param cs
- The system of constraints used to improve the widened OS.
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are dimension-incompatible or
- if \p cs contains a strict inequality.
- */
- void limited_CC76_extrapolation_assign(const Octagonal_Shape& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- //@} Space-Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- //! Adds \p m new dimensions and embeds the old OS into the new space.
- /*!
- \param m
- The number of dimensions to add.
-
- The new dimensions will be those having the highest indexes in the new OS,
- which is characterized by a system of constraints in which the variables
- running through the new dimensions are not constrained.
- For instance, when starting from the OS \f$\cO \sseq \Rset^2\f$
- and adding a third dimension, the result will be the OS
- \f[
- \bigl\{\,
- (x, y, z)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cO
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Adds \p m new dimensions to the OS
- and does not embed it in the new space.
-
- \param m
- The number of dimensions to add.
-
- The new dimensions will be those having the highest indexes
- in the new OS, which is characterized by a system
- of constraints in which the variables running through
- the new dimensions are all constrained to be equal to 0.
- For instance, when starting from the OS \f$\cO \sseq \Rset^2\f$
- and adding a third dimension, the result will be the OS
- \f[
- \bigl\{\,
- (x, y, 0)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cO
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- /*! \brief
- Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
- of \p *this and \p y, taken in this order.
-
- \exception std::length_error
- Thrown if the concatenation would cause the vector space
- to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void concatenate_assign(const Octagonal_Shape& y);
-
- //! Removes all the specified dimensions.
- /*!
- \param vars
- The set of Variable objects corresponding to the dimensions to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the Variable
- objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher dimensions so that the resulting space
- will have dimension \p new_dimension.
-
- \exception std::invalid_argument
- Thrown if \p new_dimension is greater than the space dimension
- of \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
-
- \param pfunc
- The partial function specifying the destiny of each dimension.
-
- The template type parameter Partial_Function must provide
- the following methods.
- \code
- bool has_empty_codomain() const
- \endcode
- returns <CODE>true</CODE> if and only if the represented partial
- function has an empty codomain (i.e., it is always undefined).
- The <CODE>has_empty_codomain()</CODE> method will always be called
- before the methods below. However, if
- <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
- of the functions below will be called.
- \code
- dimension_type max_in_codomain() const
- \endcode
- returns the maximum value that belongs to the codomain
- of the partial function.
- \code
- bool maps(dimension_type i, dimension_type& j) const
- \endcode
- Let \f$f\f$ be the represented function and \f$k\f$ be the value
- of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
- assigned to \p j and <CODE>true</CODE> is returned.
- If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
- returned.
-
- The result is undefined if \p pfunc does not encode a partial
- function with the properties described in the
- \ref Mapping_the_Dimensions_of_the_Vector_Space "specification of the mapping operator".
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref expand_space_dimension "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars.
- Also thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are \ref fold_space_dimensions "folded"
- into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //! Applies to \p dest the interval constraints embedded in \p *this.
- /*!
- \param dest
- The object to which the constraints will be added.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest.
-
- The template type parameter U must provide the following methods.
- \code
- dimension_type space_dimension() const
- \endcode
- returns the space dimension of the object.
- \code
- void set_empty()
- \endcode
- sets the object to an empty object.
- \code
- bool restrict_lower(dimension_type dim, const T& lb)
- \endcode
- restricts the object by applying the lower bound \p lb to the space
- dimension \p dim and returns <CODE>false</CODE> if and only if the
- object becomes empty.
- \code
- bool restrict_upper(dimension_type dim, const T& ub)
- \endcode
- restricts the object by applying the upper bound \p ub to the space
- dimension \p dim and returns <CODE>false</CODE> if and only if the
- object becomes empty.
- */
- template <typename U>
- void export_interval_constraints(U& dest) const;
-
- //! Refines \p store with the constraints defining \p *this.
- /*!
- \param store
- The interval floating point abstract store to refine.
- */
- template <typename Interval_Info>
- void refine_fp_interval_abstract_store(
- Box< Interval<T, Interval_Info> >& store) const;
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If \p x and \p y are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- friend bool
- operator==<T>(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
-
- template <typename Temp, typename To, typename U>
- friend bool Parma_Polyhedra_Library::rectilinear_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<U>& x, const Octagonal_Shape<U>& y,
- const Rounding_Dir dir, Temp& tmp0, Temp& tmp1, Temp& tmp2);
- template <typename Temp, typename To, typename U>
- friend bool Parma_Polyhedra_Library::euclidean_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<U>& x, const Octagonal_Shape<U>& y,
- const Rounding_Dir dir, Temp& tmp0, Temp& tmp1, Temp& tmp2);
- template <typename Temp, typename To, typename U>
- friend bool Parma_Polyhedra_Library::l_infinity_distance_assign
- (Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<U>& x, const Octagonal_Shape<U>& y,
- const Rounding_Dir dir, Temp& tmp0, Temp& tmp1, Temp& tmp2);
-
-private:
- template <typename U> friend class Parma_Polyhedra_Library::Octagonal_Shape;
- template <typename Interval> friend class Parma_Polyhedra_Library::Box;
-
- //! The matrix that represents the octagonal shape.
- OR_Matrix<N> matrix;
-
- //! Dimension of the space of the octagonal shape.
- dimension_type space_dim;
-
- // Please, do not move the following include directive:
- // `Og_Status.idefs.hh' must be included exactly at this point.
- // And please do not remove the space separating `#' from `include':
- // this ensures that the directive will not be moved during the
- // procedure that automatically creates the library's include file
- // (see `Makefile.am' in the `src' directory).
-#define PPL_IN_Octagonal_Shape_CLASS
-#include "Og_Status.idefs.hh"
-#undef PPL_IN_Octagonal_Shape_CLASS
-
- //! The status flags to keep track of the internal state.
- Status status;
-
- //! Returns <CODE>true</CODE> if the OS is the zero-dimensional universe.
- bool marked_zero_dim_univ() const;
-
- //! Returns <CODE>true</CODE> if the OS is known to be empty.
- /*!
- The return value <CODE>false</CODE> does not necessarily
- implies that \p *this is non-empty.
- */
- bool marked_empty() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if \c this->matrix is known to be
- strongly closed.
-
- The return value <CODE>false</CODE> does not necessarily
- implies that \c this->matrix is not strongly closed.
- */
- bool marked_strongly_closed() const;
-
- //! Turns \p *this into a zero-dimensional universe OS.
- void set_zero_dim_univ();
-
- //! Turns \p *this into an empty OS.
- void set_empty();
-
- //! Marks \p *this as strongly closed.
- void set_strongly_closed();
-
- //! Marks \p *this as possibly not strongly closed.
- void reset_strongly_closed();
-
- N& matrix_at(dimension_type i, dimension_type j);
- const N& matrix_at(dimension_type i, dimension_type j) const;
-
- /*! \brief
- Returns an upper bound for \p lf according to the constraints
- embedded in \p *this.
-
- \p lf must be a linear form on intervals with floating point coefficients.
- If all coefficients in \p lf are bounded, then \p result will become a
- correct overapproximation of the value of \p lf when variables in
- \p lf satisfy the constraints expressed by \p *this. Otherwise the
- behavior of the method is undefined.
- */
- template <typename Interval_Info>
- void linear_form_upper_bound(
- const Linear_Form< Interval<T, Interval_Info> >& lf,
- N& result) const;
-
- // FIXME: this function is currently not used. Consider removing it.
- static void interval_coefficient_upper_bound(const N& var_ub,
- const N& minus_var_ub,
- const N& int_ub, const N& int_lb,
- N& result);
-
- /*! \brief
- Uses the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be added. Non-octagonal constraints are ignored.
-
- \warning
- If \p c and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Constraint& c);
-
- /*! \brief
- Uses the congruence \p cg to refine \p *this.
-
- \param cg
- The congruence to be added.
- Nontrivial proper congruences are ignored.
- Non-octagonal equalities are ignored.
-
- \warning
- If \p cg and \p *this are dimension-incompatible,
- the behavior is undefined.
- */
- void refine_no_check(const Congruence& cg);
-
- //! Adds the constraint <CODE>matrix[i][j] <= k</CODE>.
- void add_octagonal_constraint(dimension_type i,
- dimension_type j,
- const N& k);
-
- //! Adds the constraint <CODE>matrix[i][j] <= numer/denom</CODE>.
- void add_octagonal_constraint(dimension_type i,
- dimension_type j,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom);
-
- /*! \brief
- Adds to the Octagonal_Shape the constraint
- \f$\mathrm{var} \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$.
-
- Note that the coefficient of \p var in \p expr is null.
- */
- void refine(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- //! Removes all the constraints on variable \p v_id.
- void forget_all_octagonal_constraints(dimension_type v_id);
-
- //! Removes all binary constraints on variable \p v_id.
- void forget_binary_octagonal_constraints(dimension_type v_id);
-
- //! An helper function for the computation of affine relations.
- /*!
- For each variable index \c u_id (less than or equal to \p last_id
- and different from \p v_id), deduce constraints of the form
- <CODE>v - u \<= k</CODE> and <CODE>v + u \<= k</CODE>,
- starting from \p ub_v, which is an upper bound for \c v
- computed according to \p sc_expr and \p sc_denom.
-
- Strong-closure will be able to deduce the constraints
- <CODE>v - u \<= ub_v - lb_u</CODE> and <CODE>v + u \<= ub_v + ub_u</CODE>.
- We can be more precise if variable \c u played an active role in the
- computation of the upper bound for \c v.
-
- Namely, if the corresponding coefficient
- <CODE>q == sc_expr[u]/sc_denom</CODE> of \c u in \p sc_expr
- is greater than zero, we can improve the bound for <CODE>v - u</CODE>.
- In particular:
- - if <CODE>q \>= 1</CODE>, then <CODE>v - u \<= ub_v - ub_u</CODE>;
- - if <CODE>0 \< q \< 1</CODE>, then
- <CODE>v - u \<= ub_v - (q*ub_u + (1-q)*lb_u)</CODE>.
-
- Conversely, if \c q is less than zero, we can improve the bound for
- <CODE>v + u</CODE>. In particular:
- - if <CODE>q \<= -1</CODE>, then <CODE>v + u \<= ub_v + lb_u</CODE>;
- - if <CODE>-1 \< q \< 0</CODE>, then
- <CODE>v + u \<= ub_v + ((-q)*lb_u + (1+q)*ub_u)</CODE>.
- */
- void deduce_v_pm_u_bounds(dimension_type v_id,
- dimension_type last_id,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& ub_v);
-
- //! An helper function for the computation of affine relations.
- /*!
- For each variable index \c u_id (less than or equal to \p last_id
- and different from \p v_id), deduce constraints of the form
- <CODE>-v + u \<= k</CODE> and <CODE>-v - u \<= k</CODE>,
- starting from \p minus_lb_v, which is the negation of a lower bound
- for \c v computed according to \p sc_expr and \p sc_denom.
-
- Strong-closure will be able to deduce the constraints
- <CODE>-v - u \<= -lb_v - lb_u</CODE> and
- <CODE>-v + u \<= -lb_v + ub_u</CODE>.
- We can be more precise if variable \c u played an active role in the
- computation of (the negation of) the lower bound for \c v.
-
- Namely, if the corresponding coefficient
- <CODE>q == sc_expr[u]/sc_denom</CODE> of \c u in \p sc_expr
- is greater than zero, we can improve the bound for <CODE>-v + u</CODE>.
- In particular:
- - if <CODE>q \>= 1</CODE>, then <CODE>-v + u \<= -lb_v + lb_u</CODE>;
- - if <CODE>0 \< q \< 1</CODE>, then
- <CODE>-v + u \<= -lb_v + (q*lb_u + (1-q)*ub_u)</CODE>.
-
- Conversely, if \c q is less than zero, we can improve the bound for
- <CODE>-v - u</CODE>. In particular:
- - if <CODE>q \<= -1</CODE>, then <CODE>-v - u \<= -lb_v - ub_u</CODE>;
- - if <CODE>-1 \< q \< 0</CODE>, then
- <CODE>-v - u \<= -lb_v - ((-q)*ub_u + (1+q)*lb_u)</CODE>.
- */
- void deduce_minus_v_pm_u_bounds(dimension_type v_id,
- dimension_type last_id,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& minus_lb_v);
-
- /*! \brief
- Adds to \p limiting_octagon the octagonal differences in \p cs
- that are satisfied by \p *this.
- */
- void get_limiting_octagon(const Constraint_System& cs,
- Octagonal_Shape& limiting_octagon) const;
- //! Compute the (zero-equivalence classes) successor relation.
- /*!
- It is assumed that the octagon is not empty and strongly closed.
- */
- void compute_successors(std::vector<dimension_type>& successor) const;
-
- //! Compute the leaders of zero-equivalence classes.
- /*!
- It is assumed that the OS is not empty and strongly closed.
- */
- void compute_leaders(std::vector<dimension_type>& successor,
- std::vector<dimension_type>& no_sing_leaders,
- bool& exist_sing_class,
- dimension_type& sing_leader) const;
-
- //! Compute the leaders of zero-equivalence classes.
- /*!
- It is assumed that the OS is not empty and strongly closed.
- */
- void compute_leaders(std::vector<dimension_type>& leaders) const;
-
- /*! \brief
- Stores into \p non_redundant information about the matrix entries
- that are non-redundant (i.e., they will occur in the strongly
- reduced matrix).
-
- It is assumed that the OS is not empty and strongly closed;
- moreover, argument \p non_redundant is assumed to be empty.
- */
- void non_redundant_matrix_entries(std::vector<Bit_Row>& non_redundant) const;
-
- //! Removes the redundant constraints from \c this->matrix.
- void strong_reduction_assign() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \c this->matrix
- is strongly reduced.
- */
- bool is_strongly_reduced() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if in the octagon taken two at a time
- unary constraints, there is also the constraint that represent their sum.
- */
- bool is_strong_coherent() const;
-
- bool tight_coherence_would_make_empty() const;
-
- //! Assigns to \c this->matrix its strong closure.
- /*!
- Strong closure is a necessary condition for the precision and/or
- the correctness of many methods. It explicitly records into \c matrix
- those constraints that are implicitly obtainable by the other ones,
- therefore obtaining a canonical representation for the OS.
- */
- void strong_closure_assign() const;
-
- //! Applies the strong-coherence step to \c this->matrix.
- void strong_coherence_assign();
-
- //! Assigns to \c this->matrix its tight closure.
- /*!
- \note
- This is \e not marked as a <code>const</code> method,
- as it may modify the rational-valued geometric shape by cutting away
- non-integral points. The method is only available if the template
- parameter \c T is bound to an integer data type.
- */
- void tight_closure_assign();
-
- /*! \brief
- Incrementally computes strong closure, assuming that only
- constraints affecting variable \p var need to be considered.
-
- \note
- It is assumed that \c *this, which was strongly closed, has only been
- modified by adding constraints affecting variable \p var. If this
- assumption is not satisfied, i.e., if a non-redundant constraint not
- affecting variable \p var has been added, the behavior is undefined.
- Worst-case complexity is \f$O(n^2)\f$.
- */
- void incremental_strong_closure_assign(Variable var) const;
-
- //! Checks if and how \p expr is bounded in \p *this.
- /*!
- Returns <CODE>true</CODE> if and only if \p from_above is
- <CODE>true</CODE> and \p expr is bounded from above in \p *this,
- or \p from_above is <CODE>false</CODE> and \p expr is bounded
- from below in \p *this.
-
- \param expr
- The linear expression to test;
-
- \param from_above
- <CODE>true</CODE> if and only if the boundedness of interest is
- "from above".
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds(const Linear_Expression& expr, bool from_above) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p
- *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p * this;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d and
- \p included are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p
- *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p * this;
-
- \param g
- When maximization or minimization succeeds, will be assigned
- a point or closure point where \p expr reaches the
- corresponding extremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p g are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator& g) const;
-
- void drop_some_non_integer_points_helper(N& elem);
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators
- ::operator<<<>(std::ostream& s, const Octagonal_Shape<T>& c);
-
- //! \name Exception Throwers
- //@{
- void throw_dimension_incompatible(const char* method,
- const Octagonal_Shape& y) const;
-
- void throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const;
-
- void throw_dimension_incompatible(const char* method,
- const Constraint& c) const;
-
- void throw_dimension_incompatible(const char* method,
- const Congruence& cg) const;
-
- void throw_dimension_incompatible(const char* method,
- const Generator& g) const;
-
- void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
-
- template <typename C>
- void throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const;
-
- static void throw_constraint_incompatible(const char* method);
-
- static void throw_expression_too_complex(const char* method,
- const Linear_Expression& le);
-
- static void throw_invalid_argument(const char* method, const char* reason);
- //@} // Exception Throwers
-};
-
-#include "Og_Status.inlines.hh"
-#include "Octagonal_Shape.inlines.hh"
-#include "Octagonal_Shape.templates.hh"
-
-#endif // !defined(PPL_Octagonal_Shape_defs_hh)
diff --git a/src/Octagonal_Shape.inlines.hh b/src/Octagonal_Shape.inlines.hh
deleted file mode 100644
index 30ab50d..0000000
--- a/src/Octagonal_Shape.inlines.hh
+++ /dev/null
@@ -1,892 +0,0 @@
-/* Octagonal_Shape class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Octagonal_Shape_inlines_hh
-#define PPL_Octagonal_Shape_inlines_hh 1
-
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "C_Polyhedron.defs.hh"
-#include "Grid.defs.hh"
-#include "BD_Shape.defs.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "wrap_assign.hh"
-#include "assert.hh"
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Octagonal_Shapes {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the index coherent to \p i.
-/*! \relates Parma_Polyhedra_Library::Octagonal_Shape */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-inline dimension_type
-coherent_index(const dimension_type i) {
- return (i % 2 != 0) ? (i-1) : (i+1);
-}
-
-} // namespace Octagonal_Shapes
-
-} // namespace Implementation
-
-template <typename T>
-inline dimension_type
-Octagonal_Shape<T>::max_space_dimension() {
- return OR_Matrix<N>::max_num_rows()/2;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::marked_zero_dim_univ() const {
- return status.test_zero_dim_univ();
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::marked_strongly_closed() const {
- return status.test_strongly_closed();
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::marked_empty() const {
- return status.test_empty();
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::set_zero_dim_univ() {
- status.set_zero_dim_univ();
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::set_empty() {
- status.set_empty();
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::set_strongly_closed() {
- status.set_strongly_closed();
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::reset_strongly_closed() {
- status.reset_strongly_closed();
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const dimension_type num_dimensions,
- const Degenerate_Element kind)
- : matrix(num_dimensions), space_dim(num_dimensions), status() {
- if (kind == EMPTY)
- set_empty();
- else if (num_dimensions > 0)
- // A (non zero-dim) universe octagon is strongly closed.
- set_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const Octagonal_Shape& y, Complexity_Class)
- : matrix(y.matrix), space_dim(y.space_dim), status(y.status) {
-}
-
-template <typename T>
-template <typename U>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const Octagonal_Shape<U>& y,
- Complexity_Class)
- // For maximum precision, enforce shortest-path closure
- // before copying the DB matrix.
- : matrix((y.strong_closure_assign(), y.matrix)),
- space_dim(y.space_dim),
- status() {
- // TODO: handle flags properly, possibly taking special cases into account.
- if (y.marked_empty())
- set_empty();
- else if (y.marked_zero_dim_univ())
- set_zero_dim_univ();
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const Constraint_System& cs)
- : matrix(cs.space_dimension()),
- space_dim(cs.space_dimension()),
- status() {
- if (cs.space_dimension() > 0)
- // A (non zero-dim) universe octagon is strongly closed.
- set_strongly_closed();
- add_constraints(cs);
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const Congruence_System& cgs)
- : matrix(cgs.space_dimension()),
- space_dim(cgs.space_dimension()),
- status() {
- if (cgs.space_dimension() > 0)
- // A (non zero-dim) universe octagon is strongly closed.
- set_strongly_closed();
- add_congruences(cgs);
-}
-
-template <typename T>
-template <typename Interval>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const Box<Interval>& box,
- Complexity_Class)
- : matrix(box.space_dimension()),
- space_dim(box.space_dimension()),
- status() {
- // Check for emptiness for maximum precision.
- if (box.is_empty())
- set_empty();
- else if (box.space_dimension() > 0) {
- // A (non zero-dim) universe OS is strongly closed.
- set_strongly_closed();
- refine_with_constraints(box.constraints());
- }
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const Grid& grid,
- Complexity_Class)
- : matrix(grid.space_dimension()),
- space_dim(grid.space_dimension()),
- status() {
- if (grid.space_dimension() > 0)
- // A (non zero-dim) universe OS is strongly closed.
- set_strongly_closed();
- // Taking minimized congruences ensures maximum precision.
- refine_with_congruences(grid.minimized_congruences());
-}
-
-template <typename T>
-template <typename U>
-inline
-Octagonal_Shape<T>::Octagonal_Shape(const BD_Shape<U>& bd,
- Complexity_Class)
- : matrix(bd.space_dimension()),
- space_dim(bd.space_dimension()),
- status() {
- // Check for emptiness for maximum precision.
- if (bd.is_empty())
- set_empty();
- else if (bd.space_dimension() > 0) {
- // A (non zero-dim) universe OS is strongly closed.
- set_strongly_closed();
- refine_with_constraints(bd.constraints());
- }
-}
-
-template <typename T>
-inline Congruence_System
-Octagonal_Shape<T>::congruences() const {
- return minimized_congruences();
-}
-
-template <typename T>
-inline Octagonal_Shape<T>&
-Octagonal_Shape<T>::operator=(const Octagonal_Shape& y) {
- matrix = y.matrix;
- space_dim = y.space_dim;
- status = y.status;
- return *this;
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::~Octagonal_Shape() {
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::m_swap(Octagonal_Shape& y) {
- using std::swap;
- swap(matrix, y.matrix);
- swap(space_dim, y.space_dim);
- swap(status, y.status);
-}
-
-template <typename T>
-inline dimension_type
-Octagonal_Shape<T>::space_dimension() const {
- return space_dim;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::is_discrete() const {
- return affine_dimension() == 0;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::is_empty() const {
- strong_closure_assign();
- return marked_empty();
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::bounds_from_above(const Linear_Expression& expr) const {
- return bounds(expr, true);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::bounds_from_below(const Linear_Expression& expr) const {
- return bounds(expr, false);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
- return max_min(expr, true, sup_n, sup_d, maximum);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum,
- Generator& g) const {
- return max_min(expr, true, sup_n, sup_d, maximum, g);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
- return max_min(expr, false, inf_n, inf_d, minimum);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum,
- Generator& g) const {
- return max_min(expr, false, inf_n, inf_d, minimum, g);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::is_topologically_closed() const {
- return true;
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::topological_closure_assign() {
-}
-
-/*! \relates Octagonal_Shape */
-template <typename T>
-inline bool
-operator==(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y) {
- if (x.space_dim != y.space_dim)
- // Dimension-incompatible OSs are different.
- return false;
-
- // Zero-dim OSs are equal if and only if they are both empty or universe.
- if (x.space_dim == 0) {
- if (x.marked_empty())
- return y.marked_empty();
- else
- return !y.marked_empty();
- }
-
- x.strong_closure_assign();
- y.strong_closure_assign();
- // If one of two octagons is empty, then they are equal if and only if
- // the other octagon is empty too.
- if (x.marked_empty())
- return y.marked_empty();
- if (y.marked_empty())
- return false;
- // Strong closure is a canonical form.
- return x.matrix == y.matrix;
-}
-
-/*! \relates Octagonal_Shape */
-template <typename T>
-inline bool
-operator!=(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y) {
- return !(x == y);
-}
-
-template <typename T>
-inline const typename Octagonal_Shape<T>::coefficient_type&
-Octagonal_Shape<T>::matrix_at(const dimension_type i,
- const dimension_type j) const {
- PPL_ASSERT(i < matrix.num_rows() && j < matrix.num_rows());
- using namespace Implementation::Octagonal_Shapes;
- return (j < matrix.row_size(i))
- ? matrix[i][j]
- : matrix[coherent_index(j)][coherent_index(i)];
-}
-
-template <typename T>
-inline typename Octagonal_Shape<T>::coefficient_type&
-Octagonal_Shape<T>::matrix_at(const dimension_type i,
- const dimension_type j) {
- PPL_ASSERT(i < matrix.num_rows() && j < matrix.num_rows());
- using namespace Implementation::Octagonal_Shapes;
- return (j < matrix.row_size(i))
- ? matrix[i][j]
- : matrix[coherent_index(j)][coherent_index(i)];
-}
-
-template <typename T>
-inline Constraint_System
-Octagonal_Shape<T>::minimized_constraints() const {
- strong_reduction_assign();
- return constraints();
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::add_octagonal_constraint(const dimension_type i,
- const dimension_type j,
- const N& k) {
- // Private method: the caller has to ensure the following.
-#ifndef NDEBUG
- PPL_ASSERT(i < 2*space_dim && j < 2*space_dim && i != j);
- typename OR_Matrix<N>::row_iterator m_i = matrix.row_begin() + i;
- PPL_ASSERT(j < m_i.row_size());
-#endif
- N& r_i_j = matrix[i][j];
- if (r_i_j > k) {
- r_i_j = k;
- if (marked_strongly_closed())
- reset_strongly_closed();
- }
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>
-::add_octagonal_constraint(const dimension_type i,
- const dimension_type j,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
-#ifndef NDEBUG
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(i < 2*space_dim && j < 2*space_dim && i != j);
- typename OR_Matrix<N>::row_iterator m_i = matrix.row_begin() + i;
- PPL_ASSERT(j < m_i.row_size());
- PPL_ASSERT(denom != 0);
-#endif
- PPL_DIRTY_TEMP(N, k);
- div_round_up(k, numer, denom);
- add_octagonal_constraint(i, j, k);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::add_constraints(const Constraint_System& cs) {
- for (Constraint_System::const_iterator i = cs.begin(),
- i_end = cs.end(); i != i_end; ++i)
- add_constraint(*i);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::add_recycled_constraints(Constraint_System& cs) {
- add_constraints(cs);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::add_recycled_congruences(Congruence_System& cgs) {
- add_congruences(cgs);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::add_congruences(const Congruence_System& cgs) {
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
- add_congruence(*i);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::refine_with_constraint(const Constraint& c) {
- // Dimension-compatibility check.
- if (c.space_dimension() > space_dimension())
- throw_dimension_incompatible("refine_with_constraint(c)", c);
-
- if (!marked_empty())
- refine_no_check(c);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::refine_with_constraints(const Constraint_System& cs) {
- // Dimension-compatibility check.
- if (cs.space_dimension() > space_dimension())
- throw_invalid_argument("refine_with_constraints(cs)",
- "cs and *this are space-dimension incompatible");
-
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
- refine_no_check(*i);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::refine_with_congruence(const Congruence& cg) {
- const dimension_type cg_space_dim = cg.space_dimension();
- // Dimension-compatibility check.
- if (cg_space_dim > space_dimension())
- throw_dimension_incompatible("refine_with_congruence(cg)", cg);
-
- if (!marked_empty())
- refine_no_check(cg);
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::refine_with_congruences(const Congruence_System& cgs) {
- // Dimension-compatibility check.
- if (cgs.space_dimension() > space_dimension())
- throw_invalid_argument("refine_with_congruences(cgs)",
- "cgs and *this are space-dimension incompatible");
-
- for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
- refine_no_check(*i);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::refine_no_check(const Congruence& cg) {
- PPL_ASSERT(!marked_empty());
- PPL_ASSERT(cg.space_dimension() <= space_dimension());
-
- if (cg.is_proper_congruence()) {
- if (cg.is_inconsistent())
- set_empty();
- // Other proper congruences are just ignored.
- return;
- }
-
- PPL_ASSERT(cg.is_equality());
- Constraint c(cg);
- refine_no_check(c);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::can_recycle_constraint_systems() {
- return false;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::can_recycle_congruence_systems() {
- return false;
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>
-::remove_higher_space_dimensions(const dimension_type new_dimension) {
- // Dimension-compatibility check.
- if (new_dimension > space_dim)
- throw_dimension_incompatible("remove_higher_space_dimension(nd)",
- new_dimension);
- // The removal of no dimensions from any octagon is a no-op.
- // Note that this case also captures the only legal removal of
- // dimensions from an octagon in a 0-dim space.
- if (new_dimension == space_dim) {
- PPL_ASSERT(OK());
- return;
- }
-
- strong_closure_assign();
- matrix.shrink(new_dimension);
- // When we remove all dimensions from a non-empty octagon,
- // we obtain the zero-dimensional universe octagon.
- if (new_dimension == 0 && !marked_empty())
- set_zero_dim_univ();
- space_dim = new_dimension;
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p,
- unsigned complexity_threshold,
- bool wrap_individually) {
- Implementation::wrap_assign(*this,
- vars, w, r, o, cs_p,
- complexity_threshold, wrap_individually,
- "Octagonal_Shape");
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::widening_assign(const Octagonal_Shape& y, unsigned* tp) {
- BHMZ05_widening_assign(y, tp);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::CC76_extrapolation_assign(const Octagonal_Shape& y,
- unsigned* tp) {
- static N stop_points[] = {
- N(-2, ROUND_UP),
- N(-1, ROUND_UP),
- N( 0, ROUND_UP),
- N( 1, ROUND_UP),
- N( 2, ROUND_UP)
- };
- CC76_extrapolation_assign(y,
- stop_points,
- stop_points
- + sizeof(stop_points)/sizeof(stop_points[0]),
- tp);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::time_elapse_assign(const Octagonal_Shape& y) {
- // Dimension-compatibility check.
- if (space_dimension() != y.space_dimension())
- throw_dimension_incompatible("time_elapse_assign(y)", y);
- // Compute time-elapse on polyhedra.
- // TODO: provide a direct implementation.
- C_Polyhedron ph_x(constraints());
- C_Polyhedron ph_y(y.constraints());
- ph_x.time_elapse_assign(ph_y);
- Octagonal_Shape<T> x(ph_x);
- m_swap(x);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::strictly_contains(const Octagonal_Shape& y) const {
- const Octagonal_Shape<T>& x = *this;
- return x.contains(y) && !y.contains(x);
-}
-
-template <typename T>
-template <typename Interval_Info>
-inline void
-Octagonal_Shape<T>::generalized_refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right,
- const Relation_Symbol relsym) {
- switch (relsym) {
- case EQUAL:
- // TODO: see if we can handle this case more efficiently.
- refine_with_linear_form_inequality(left, right);
- refine_with_linear_form_inequality(right, left);
- break;
- case LESS_THAN:
- case LESS_OR_EQUAL:
- refine_with_linear_form_inequality(left, right);
- break;
- case GREATER_THAN:
- case GREATER_OR_EQUAL:
- refine_with_linear_form_inequality(right, left);
- break;
- case NOT_EQUAL:
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
-}
-
-template <typename T>
-template <typename Interval_Info>
-inline void
-Octagonal_Shape<T>::
-refine_fp_interval_abstract_store(
- Box< Interval<T, Interval_Info> >& store) const {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::refine_fp_interval_abstract_store:"
- " T not a floating point type.");
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
- store.intersection_assign(Box<FP_Interval_Type>(*this));
-
-}
-
-/*! \relates Octagonal_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- // Dimension-compatibility check.
- if (x.space_dim != y.space_dim)
- return false;
-
- // Zero-dim OSs are equal if and only if they are both empty or universe.
- if (x.space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires strong closure.
- x.strong_closure_assign();
- y.strong_closure_assign();
-
- // If one of two OSs is empty, then they are equal if and only if
- // the other OS is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- return rectilinear_distance_assign(r, x.matrix, y.matrix, dir,
- tmp0, tmp1, tmp2);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename To, typename T>
-inline bool
-rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
- return rectilinear_distance_assign<To, To, T>(r, x, y, dir);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- // Dimension-compatibility check.
- if (x.space_dim != y.space_dim)
- return false;
-
- // Zero-dim OSs are equal if and only if they are both empty or universe.
- if (x.space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires strong closure.
- x.strong_closure_assign();
- y.strong_closure_assign();
-
- // If one of two OSs is empty, then they are equal if and only if
- // the other OS is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- return euclidean_distance_assign(r, x.matrix, y.matrix, dir,
- tmp0, tmp1, tmp2);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename To, typename T>
-inline bool
-euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
- return euclidean_distance_assign<To, To, T>(r, x, y, dir);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
- // Dimension-compatibility check.
- if (x.space_dim != y.space_dim)
- return false;
-
- // Zero-dim OSs are equal if and only if they are both empty or universe.
- if (x.space_dim == 0) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- // The distance computation requires strong closure.
- x.strong_closure_assign();
- y.strong_closure_assign();
-
- // If one of two OSs is empty, then they are equal if and only if
- // the other OS is empty too.
- if (x.marked_empty() || y.marked_empty()) {
- if (x.marked_empty() == y.marked_empty())
- assign_r(r, 0, ROUND_NOT_NEEDED);
- else
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
-
- return l_infinity_distance_assign(r, x.matrix, y.matrix, dir,
- tmp0, tmp1, tmp2);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename Temp, typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
- typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
- PPL_DIRTY_TEMP(Checked_Temp, tmp0);
- PPL_DIRTY_TEMP(Checked_Temp, tmp1);
- PPL_DIRTY_TEMP(Checked_Temp, tmp2);
- return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
-}
-
-/*! \relates Octagonal_Shape */
-template <typename To, typename T>
-inline bool
-l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
- return l_infinity_distance_assign<To, To, T>(r, x, y, dir);
-}
-
-template <typename T>
-inline memory_size_type
-Octagonal_Shape<T>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename T>
-inline int32_t
-Octagonal_Shape<T>::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::drop_some_non_integer_points_helper(N& elem) {
- if (!is_integer(elem)) {
-#ifndef NDEBUG
- Result r =
-#endif
- floor_assign_r(elem, elem, ROUND_DOWN);
- PPL_ASSERT(r == V_EQ);
- reset_strongly_closed();
- }
-}
-
-/*! \relates Octagonal_Shape */
-template <typename T>
-inline void
-swap(Octagonal_Shape<T>& x, Octagonal_Shape<T>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Octagonal_Shape_inlines_hh)
diff --git a/src/Octagonal_Shape.templates.hh b/src/Octagonal_Shape.templates.hh
deleted file mode 100644
index 817c158..0000000
--- a/src/Octagonal_Shape.templates.hh
+++ /dev/null
@@ -1,8113 +0,0 @@
-/* Octagonal_Shape class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Octagonal_Shape_templates_hh
-#define PPL_Octagonal_Shape_templates_hh 1
-
-#include "Generator_System.defs.hh"
-#include "Generator_System.inlines.hh"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
-#include "Interval.defs.hh"
-#include "Linear_Form.defs.hh"
-#include "meta_programming.hh"
-#include "assert.hh"
-#include <vector>
-#include <deque>
-#include <string>
-#include <iostream>
-#include <sstream>
-#include <stdexcept>
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-Octagonal_Shape<T>::Octagonal_Shape(const Polyhedron& ph,
- const Complexity_Class complexity)
- : matrix(0), space_dim(0), status() {
- const dimension_type num_dimensions = ph.space_dimension();
-
- if (ph.marked_empty()) {
- *this = Octagonal_Shape(num_dimensions, EMPTY);
- return;
- }
-
- if (num_dimensions == 0) {
- *this = Octagonal_Shape(num_dimensions, UNIVERSE);
- return;
- }
-
- // Build from generators when we do not care about complexity
- // or when the process has polynomial complexity.
- if (complexity == ANY_COMPLEXITY
- || (!ph.has_pending_constraints() && ph.generators_are_up_to_date())) {
- *this = Octagonal_Shape(ph.generators());
- return;
- }
-
- // We cannot afford exponential complexity, we do not have a complete set
- // of generators for the polyhedron, and the polyhedron is not trivially
- // empty or zero-dimensional. Constraints, however, are up to date.
- PPL_ASSERT(ph.constraints_are_up_to_date());
-
- if (!ph.has_something_pending() && ph.constraints_are_minimized()) {
- // If the constraint system of the polyhedron is minimized,
- // the test `is_universe()' has polynomial complexity.
- if (ph.is_universe()) {
- *this = Octagonal_Shape(num_dimensions, UNIVERSE);
- return;
- }
- }
-
- // See if there is at least one inconsistent constraint in `ph.con_sys'.
- for (Constraint_System::const_iterator i = ph.con_sys.begin(),
- cs_end = ph.con_sys.end(); i != cs_end; ++i)
- if (i->is_inconsistent()) {
- *this = Octagonal_Shape(num_dimensions, EMPTY);
- return;
- }
-
- // If `complexity' allows it, use simplex to derive the exact (modulo
- // the fact that our OSs are topologically closed) variable bounds.
- if (complexity == SIMPLEX_COMPLEXITY) {
- MIP_Problem lp(num_dimensions);
- lp.set_optimization_mode(MAXIMIZATION);
-
- const Constraint_System& ph_cs = ph.constraints();
- if (!ph_cs.has_strict_inequalities())
- lp.add_constraints(ph_cs);
- else
- // Adding to `lp' a topologically closed version of `ph_cs'.
- for (Constraint_System::const_iterator i = ph_cs.begin(),
- ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_strict_inequality())
- lp.add_constraint(Linear_Expression(c) >= 0);
- else
- lp.add_constraint(c);
- }
-
- // Check for unsatisfiability.
- if (!lp.is_satisfiable()) {
- *this = Octagonal_Shape<T>(num_dimensions, EMPTY);
- return;
- }
-
- // Start with a universe OS that will be refined by the simplex.
- *this = Octagonal_Shape<T>(num_dimensions, UNIVERSE);
- // Get all the upper bounds.
- Generator g(point());
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- for (dimension_type i = 0; i < num_dimensions; ++i) {
- Variable x(i);
- // Evaluate optimal upper bound for `x <= ub'.
- lp.set_objective_function(x);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- numer *= 2;
- div_round_up(matrix[2*i + 1][2*i], numer, denom);
- }
- // Evaluate optimal upper bounds for `x + y <= ub'.
- for (dimension_type j = 0; j < i; ++j) {
- Variable y(j);
- lp.set_objective_function(x + y);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(matrix[2*i + 1][2*j], numer, denom);
- }
- }
- // Evaluate optimal upper bound for `x - y <= ub'.
- for (dimension_type j = 0; j < num_dimensions; ++j) {
- if (i == j)
- continue;
- Variable y(j);
- lp.set_objective_function(x - y);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(((i < j) ?
- matrix[2*j][2*i]
- : matrix[2*i + 1][2*j + 1]),
- numer, denom);
- }
- }
- // Evaluate optimal upper bound for `y - x <= ub'.
- for (dimension_type j = 0; j < num_dimensions; ++j) {
- if (i == j)
- continue;
- Variable y(j);
- lp.set_objective_function(x - y);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(((i < j)
- ? matrix[2*j][2*i]
- : matrix[2*i + 1][2*j + 1]),
- numer, denom);
- }
- }
- // Evaluate optimal upper bound for `-x - y <= ub'.
- for (dimension_type j = 0; j < i; ++j) {
- Variable y(j);
- lp.set_objective_function(-x - y);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- div_round_up(matrix[2*i][2*j + 1], numer, denom);
- }
- }
- // Evaluate optimal upper bound for `-x <= ub'.
- lp.set_objective_function(-x);
- if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, numer, denom);
- numer *= 2;
- div_round_up(matrix[2*i][2*i + 1], numer, denom);
- }
- }
- set_strongly_closed();
- PPL_ASSERT(OK());
- return;
- }
-
- // Extract easy-to-find bounds from constraints.
- PPL_ASSERT(complexity == POLYNOMIAL_COMPLEXITY);
- *this = Octagonal_Shape(num_dimensions, UNIVERSE);
- refine_with_constraints(ph.constraints());
-}
-
-template <typename T>
-Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
- : matrix(gs.space_dimension()),
- space_dim(gs.space_dimension()),
- status() {
- const Generator_System::const_iterator gs_begin = gs.begin();
- const Generator_System::const_iterator gs_end = gs.end();
- if (gs_begin == gs_end) {
- // An empty generator system defines the empty polyhedron.
- set_empty();
- return;
- }
-
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typename OR_Matrix<N>::row_iterator mat_begin = matrix.row_begin();
-
- PPL_DIRTY_TEMP(N, tmp);
- bool mat_initialized = false;
- bool point_seen = false;
- // Going through all the points and closure points.
- for (Generator_System::const_iterator k = gs_begin; k != gs_end; ++k) {
- const Generator& g = *k;
- switch (g.type()) {
- case Generator::POINT:
- point_seen = true;
- // Intentionally fall through.
- case Generator::CLOSURE_POINT:
- if (!mat_initialized) {
- // When handling the first (closure) point, we initialize the matrix.
- mat_initialized = true;
- const Coefficient& d = g.divisor();
- // TODO: This can be optimized more, if needed, exploiting the
- // (possible) sparseness of g. Also consider if OR_Matrix should be
- // sparse, too.
- for (dimension_type i = 0; i < space_dim; ++i) {
- const Coefficient& g_i = g.coefficient(Variable(i));
- const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
- for (dimension_type j = 0; j < i; ++j) {
- const Coefficient& g_j = g.coefficient(Variable(j));
- const dimension_type dj = 2*j;
- // Set for any point the hyperplanes passing in the point
- // and having the octagonal gradient.
- // Let be P = [P_1, P_2, ..., P_n] point.
- // Hyperplanes: X_i - X_j = P_i - P_j.
- div_round_up(x_i[dj], g_j - g_i, d);
- div_round_up(x_ii[dj + 1], g_i - g_j, d);
- // Hyperplanes: X_i + X_j = P_i + P_j.
- div_round_up(x_i[dj + 1], -g_j - g_i, d);
- div_round_up(x_ii[dj], g_i + g_j, d);
- }
- // Hyperplanes: X_i = P_i.
- div_round_up(x_i[di + 1], -g_i - g_i, d);
- div_round_up(x_ii[di], g_i + g_i, d);
- }
- }
- else {
- // This is not the first point: the matrix already contains
- // valid values and we must compute maxima.
- const Coefficient& d = g.divisor();
- // TODO: This can be optimized more, if needed, exploiting the
- // (possible) sparseness of g. Also consider if OR_Matrix should be
- // sparse, too.
- for (dimension_type i = 0; i < space_dim; ++i) {
- const Coefficient& g_i = g.coefficient(Variable(i));
- const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
- for (dimension_type j = 0; j < i; ++j) {
- const Coefficient& g_j = g.coefficient(Variable(j));
- const dimension_type dj = 2*j;
- // Set for any point the straight lines passing in the point
- // and having the octagonal gradient; compute maxima values.
- // Let be P = [P_1, P_2, ..., P_n] point.
- // Hyperplane: X_i - X_j = max (P_i - P_j, const).
- div_round_up(tmp, g_j - g_i, d);
- max_assign(x_i[dj], tmp);
- div_round_up(tmp, g_i - g_j, d);
- max_assign(x_ii[dj + 1], tmp);
- // Hyperplane: X_i + X_j = max (P_i + P_j, const).
- div_round_up(tmp, -g_j - g_i, d);
- max_assign(x_i[dj + 1], tmp);
- div_round_up(tmp, g_i + g_j, d);
- max_assign(x_ii[dj], tmp);
- }
- // Hyperplane: X_i = max (P_i, const).
- div_round_up(tmp, -g_i - g_i, d);
- max_assign(x_i[di + 1], tmp);
- div_round_up(tmp, g_i + g_i, d);
- max_assign(x_ii[di], tmp);
- }
- }
- break;
- default:
- // Lines and rays temporarily ignored.
- break;
- }
- }
-
- if (!point_seen)
- // The generator system is not empty, but contains no points.
- throw_invalid_argument("Octagonal_Shape(gs)",
- "the non-empty generator system gs "
- "contains no points.");
-
- // Going through all the lines and rays.
- for (Generator_System::const_iterator k = gs_begin; k != gs_end; ++k) {
- const Generator& g = *k;
- switch (g.type()) {
- case Generator::LINE:
- // TODO: This can be optimized more, if needed, exploiting the
- // (possible) sparseness of g. Also consider if OR_Matrix should be
- // sparse, too.
- for (dimension_type i = 0; i < space_dim; ++i) {
- const Coefficient& g_i = g.coefficient(Variable(i));
- const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
- for (dimension_type j = 0; j < i; ++j) {
- const Coefficient& g_j = g.coefficient(Variable(j));
- const dimension_type dj = 2*j;
- // Set for any line the right limit.
- if (g_i != g_j) {
- // Hyperplane: X_i - X_j <=/>= +Inf.
- assign_r(x_i[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(x_ii[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- if (g_i != -g_j) {
- // Hyperplane: X_i + X_j <=/>= +Inf.
- assign_r(x_i[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(x_ii[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- if (g_i != 0) {
- // Hyperplane: X_i <=/>= +Inf.
- assign_r(x_i[di + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(x_ii[di], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- break;
- case Generator::RAY:
- // TODO: This can be optimized more, if needed, exploiting the
- // (possible) sparseness of g. Also consider if OR_Matrix should be
- // sparse, too.
- for (dimension_type i = 0; i < space_dim; ++i) {
- const Coefficient& g_i = g.coefficient(Variable(i));
- const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
- for (dimension_type j = 0; j < i; ++j) {
- const Coefficient& g_j = g.coefficient(Variable(j));
- const dimension_type dj = 2*j;
- // Set for any ray the right limit in the case
- // of the binary constraints.
- if (g_i < g_j)
- // Hyperplane: X_i - X_j >= +Inf.
- assign_r(x_i[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (g_i > g_j)
- // Hyperplane: X_i - X_j <= +Inf.
- assign_r(x_ii[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (g_i < -g_j)
- // Hyperplane: X_i + X_j >= +Inf.
- assign_r(x_i[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (g_i > -g_j)
- // Hyperplane: X_i + X_j <= +Inf.
- assign_r(x_ii[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- // Case: unary constraints.
- if (g_i < 0)
- // Hyperplane: X_i = +Inf.
- assign_r(x_i[di + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (g_i > 0)
- // Hyperplane: X_i = +Inf.
- assign_r(x_ii[di], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- break;
- default:
- // Points and closure points already dealt with.
- break;
- }
- }
- set_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::add_constraint(const Constraint& c) {
- const dimension_type c_space_dim = c.space_dimension();
- // Dimension-compatibility check.
- if (c_space_dim > space_dim)
- throw_dimension_incompatible("add_constraint(c)", c);
-
- // Get rid of strict inequalities.
- if (c.is_strict_inequality()) {
- if (c.is_inconsistent()) {
- set_empty();
- return;
- }
- if (c.is_tautological())
- return;
- // Nontrivial strict inequalities are not allowed.
- throw_invalid_argument("add_constraint(c)",
- "strict inequalities are not allowed");
- }
-
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(term);
- // Constraints that are not octagonal differences are not allowed.
- if (!Octagonal_Shape_Helper
- ::extract_octagonal_difference(c, c_space_dim, num_vars,
- i, j, coeff, term))
- throw_invalid_argument("add_constraint(c)",
- "c is not an octagonal constraint");
-
- if (num_vars == 0) {
- // Dealing with a trivial constraint (not a strict inequality).
- if (c.inhomogeneous_term() < 0
- || (c.is_equality() && c.inhomogeneous_term() != 0))
- set_empty();
- return;
- }
-
- // Select the cell to be modified for the "<=" part of constraint.
- typename OR_Matrix<N>::row_iterator i_iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::row_reference_type m_i = *i_iter;
- N& m_i_j = m_i[j];
- // Set `coeff' to the absolute value of itself.
- if (coeff < 0)
- neg_assign(coeff);
-
- bool is_oct_changed = false;
- // Compute the bound for `m_i_j', rounding towards plus infinity.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, term, coeff);
- if (m_i_j > d) {
- m_i_j = d;
- is_oct_changed = true;
- }
-
- if (c.is_equality()) {
- // Select the cell to be modified for the ">=" part of constraint.
- if (i % 2 == 0)
- ++i_iter;
- else
- --i_iter;
-
- typename OR_Matrix<N>::row_reference_type m_ci = *i_iter;
- using namespace Implementation::Octagonal_Shapes;
- dimension_type cj = coherent_index(j);
- N& m_ci_cj = m_ci[cj];
- // Also compute the bound for `m_ci_cj', rounding towards plus infinity.
- neg_assign(term);
- div_round_up(d, term, coeff);
- if (m_ci_cj > d) {
- m_ci_cj = d;
- is_oct_changed = true;
- }
- }
-
- // This method does not preserve closure.
- if (is_oct_changed && marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::add_congruence(const Congruence& cg) {
- const dimension_type cg_space_dim = cg.space_dimension();
- // Dimension-compatibility check:
- // the dimension of `cg' can not be greater than space_dim.
- if (space_dimension() < cg_space_dim)
- throw_dimension_incompatible("add_congruence(cg)", cg);
-
- // Handle the case of proper congruences first.
- if (cg.is_proper_congruence()) {
- if (cg.is_tautological())
- return;
- if (cg.is_inconsistent()) {
- set_empty();
- return;
- }
- // Non-trivial and proper congruences are not allowed.
- throw_invalid_argument("add_congruence(cg)",
- "cg is a non-trivial, proper congruence");
- }
-
- PPL_ASSERT(cg.is_equality());
- Constraint c(cg);
- add_constraint(c);
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-Octagonal_Shape<T>::refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::refine_with_linear_form_inequality:"
- " T not a floating point type.");
-
- // We assume that the analyzer will not try to apply an unreachable filter.
- PPL_ASSERT(!marked_empty());
-
- // Dimension-compatibility checks.
- // The dimensions of `left' and `right' should not be greater than the
- // dimension of `*this'.
- const dimension_type left_space_dim = left.space_dimension();
- if (space_dim < left_space_dim)
- throw_dimension_incompatible(
- "refine_with_linear_form_inequality(left, right)", "left", left);
-
- const dimension_type right_space_dim = right.space_dimension();
- if (space_dim < right_space_dim)
- throw_dimension_incompatible(
- "refine_with_linear_form_inequality(left, right)", "right", right);
-
- // Number of non-zero coefficients in `left': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type left_t = 0;
- // Variable-index of the last non-zero coefficient in `left', if any.
- dimension_type left_w_id = 0;
- // Number of non-zero coefficients in `right': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type right_t = 0;
- // Variable-index of the last non-zero coefficient in `right', if any.
- dimension_type right_w_id = 0;
-
- // Get information about the number of non-zero coefficients in `left'.
- for (dimension_type i = left_space_dim; i-- > 0; )
- if (left.coefficient(Variable(i)) != 0) {
- if (left_t++ == 1)
- break;
- else
- left_w_id = i;
- }
-
- // Get information about the number of non-zero coefficients in `right'.
- for (dimension_type i = right_space_dim; i-- > 0; )
- if (right.coefficient(Variable(i)) != 0) {
- if (right_t++ == 1)
- break;
- else
- right_w_id = i;
- }
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- // FIXME: there is plenty of duplicate code in the following lines. We could
- // shorten it at the expense of a bit of efficiency.
-
- if (left_t == 0) {
- if (right_t == 0) {
- // The constraint involves constants only. Ignore it: it is up to
- // the analyzer to handle it.
- PPL_ASSERT(OK());
- return;
- }
-
- if (right_t == 1) {
- // The constraint has the form [a-, a+] <= [b-, b+] + [c-, c+] * x.
- // Reduce it to the constraint +/-x <= b+ - a- if [c-, c+] = +/-[1, 1].
- const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
- if (right_w_coeff == 1) {
- const dimension_type n_right = right_w_id * 2;
- PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_b = right.inhomogeneous_term();
- sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
- ROUND_UP);
- mul_2exp_assign_r(b_plus_minus_a_minus, b_plus_minus_a_minus, 1,
- ROUND_UP);
- add_octagonal_constraint(n_right, n_right + 1, b_plus_minus_a_minus);
- PPL_ASSERT(OK());
- return;
- }
-
- if (right_w_coeff == -1) {
- const dimension_type n_right = right_w_id * 2;
- PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_b = right.inhomogeneous_term();
- sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
- ROUND_UP);
- mul_2exp_assign_r(b_plus_minus_a_minus, b_plus_minus_a_minus, 1,
- ROUND_UP);
- add_octagonal_constraint(n_right + 1, n_right, b_plus_minus_a_minus);
- PPL_ASSERT(OK());
- return;
- }
- }
- }
- else if (left_t == 1) {
- if (right_t == 0) {
- // The constraint has the form [b-, b+] + [c-, c+] * x <= [a-, a+]
- // Reduce it to the constraint +/-x <= a+ - b- if [c-, c+] = +/-[1, 1].
- const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
- if (left_w_coeff == 1) {
- const dimension_type n_left = left_w_id * 2;
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- mul_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
- ROUND_UP);
- add_octagonal_constraint(n_left + 1, n_left, a_plus_minus_b_minus);
- PPL_ASSERT(OK());
- return;
- }
-
- if (left_w_coeff == -1) {
- const dimension_type n_left = left_w_id * 2;
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- mul_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
- ROUND_UP);
- add_octagonal_constraint(n_left, n_left + 1, a_plus_minus_b_minus);
- PPL_ASSERT(OK());
- return;
- }
- }
-
- if (right_t == 1) {
- // The constraint has the form
- // [a-, a+] + [b-, b+] * x <= [c-, c+] + [d-, d+] * y.
- // Reduce it to the constraint +/-x +/-y <= c+ - a-
- // if [b-, b+] = +/-[1, 1] and [d-, d+] = +/-[1, 1].
- const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
- const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
- bool is_left_coeff_one = (left_w_coeff == 1);
- bool is_left_coeff_minus_one = (left_w_coeff == -1);
- bool is_right_coeff_one = (right_w_coeff == 1);
- bool is_right_coeff_minus_one = (right_w_coeff == -1);
- if (left_w_id == right_w_id) {
- if ((is_left_coeff_one && is_right_coeff_one)
- || (is_left_coeff_minus_one && is_right_coeff_minus_one)) {
- // Here we have an identity or a constants-only constraint.
- PPL_ASSERT(OK());
- return;
- }
- if (is_left_coeff_one && is_right_coeff_minus_one) {
- // We fall back to a previous case
- // (but we do not need to multiply the result by two).
- const dimension_type n_left = left_w_id * 2;
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- add_octagonal_constraint(n_left + 1, n_left, a_plus_minus_b_minus);
- PPL_ASSERT(OK());
- return;
- }
- if (is_left_coeff_minus_one && is_right_coeff_one) {
- // We fall back to a previous case
- // (but we do not need to multiply the result by two).
- const dimension_type n_left = left_w_id * 2;
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
- const FP_Interval_Type& left_b = left.inhomogeneous_term();
- const FP_Interval_Type& right_a = right.inhomogeneous_term();
- sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
- ROUND_UP);
- add_octagonal_constraint(n_left, n_left + 1, a_plus_minus_b_minus);
- PPL_ASSERT(OK());
- return;
- }
- }
- else if (is_left_coeff_one && is_right_coeff_one) {
- const dimension_type n_left = left_w_id * 2;
- const dimension_type n_right = right_w_id * 2;
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_c = right.inhomogeneous_term();
- sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
- ROUND_UP);
- if (left_w_id < right_w_id)
- add_octagonal_constraint(n_right, n_left, c_plus_minus_a_minus);
- else
- add_octagonal_constraint(n_left + 1, n_right + 1,
- c_plus_minus_a_minus);
- PPL_ASSERT(OK());
- return;
- }
- if (is_left_coeff_one && is_right_coeff_minus_one) {
- const dimension_type n_left = left_w_id * 2;
- const dimension_type n_right = right_w_id * 2;
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_c = right.inhomogeneous_term();
- sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
- ROUND_UP);
- if (left_w_id < right_w_id)
- add_octagonal_constraint(n_right + 1, n_left, c_plus_minus_a_minus);
- else
- add_octagonal_constraint(n_left + 1, n_right, c_plus_minus_a_minus);
- PPL_ASSERT(OK());
- return;
- }
- if (is_left_coeff_minus_one && is_right_coeff_one) {
- const dimension_type n_left = left_w_id * 2;
- const dimension_type n_right = right_w_id * 2;
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_c = right.inhomogeneous_term();
- sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
- ROUND_UP);
- if (left_w_id < right_w_id)
- add_octagonal_constraint(n_right, n_left + 1, c_plus_minus_a_minus);
- else
- add_octagonal_constraint(n_left, n_right + 1, c_plus_minus_a_minus);
- PPL_ASSERT(OK());
- return;
- }
- if (is_left_coeff_minus_one && is_right_coeff_minus_one) {
- const dimension_type n_left = left_w_id * 2;
- const dimension_type n_right = right_w_id * 2;
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
- const FP_Interval_Type& right_c = right.inhomogeneous_term();
- sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
- ROUND_UP);
- if (left_w_id < right_w_id)
- add_octagonal_constraint(n_right + 1, n_left + 1,
- c_plus_minus_a_minus);
- else
- add_octagonal_constraint(n_left, n_right, c_plus_minus_a_minus);
- PPL_ASSERT(OK());
- return;
- }
- }
- }
-
- // General case.
-
- // FIRST, update the binary constraints for each pair of DIFFERENT variables
- // in `left' and `right'.
-
- // Declare temporaries outside of the loop.
- PPL_DIRTY_TEMP(N, low_coeff);
- PPL_DIRTY_TEMP(N, high_coeff);
- PPL_DIRTY_TEMP(N, upper_bound);
-
- Linear_Form<FP_Interval_Type> right_minus_left(right);
- right_minus_left -= left;
-
- dimension_type max_w_id = std::max(left_w_id, right_w_id);
- for (dimension_type first_v = 0; first_v < max_w_id; ++first_v) {
- for (dimension_type second_v = first_v + 1;
- second_v <= max_w_id; ++second_v) {
- const FP_Interval_Type& lfv_coefficient =
- left.coefficient(Variable(first_v));
- const FP_Interval_Type& lsv_coefficient =
- left.coefficient(Variable(second_v));
- const FP_Interval_Type& rfv_coefficient =
- right.coefficient(Variable(first_v));
- const FP_Interval_Type& rsv_coefficient =
- right.coefficient(Variable(second_v));
- // We update the constraints only when both variables appear in at
- // least one argument.
- bool do_update = false;
- assign_r(low_coeff, lfv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lfv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0) {
- assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- else {
- assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- }
- }
- else {
- assign_r(low_coeff, rfv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rfv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0) {
- assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- else {
- assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- }
- }
- }
-
- if (do_update) {
- Variable first(first_v);
- Variable second(second_v);
- dimension_type n_first_var = first_v * 2;
- dimension_type n_second_var = second_v * 2;
- linear_form_upper_bound(right_minus_left - first + second,
- upper_bound);
- add_octagonal_constraint(n_second_var + 1, n_first_var + 1,
- upper_bound);
- linear_form_upper_bound(right_minus_left + first + second,
- upper_bound);
- add_octagonal_constraint(n_second_var + 1, n_first_var, upper_bound);
- linear_form_upper_bound(right_minus_left - first - second,
- upper_bound);
- add_octagonal_constraint(n_second_var, n_first_var + 1, upper_bound);
- linear_form_upper_bound(right_minus_left + first - second,
- upper_bound);
- add_octagonal_constraint(n_second_var, n_first_var, upper_bound);
- }
- }
- }
-
- // Finally, update the unary constraints.
- for (dimension_type v = 0; v <= max_w_id; ++v) {
- const FP_Interval_Type& lv_coefficient =
- left.coefficient(Variable(v));
- const FP_Interval_Type& rv_coefficient =
- right.coefficient(Variable(v));
- // We update the constraints only if v appears in at least one of the
- // two arguments.
- bool do_update = false;
- assign_r(low_coeff, lv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, lv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- else {
- assign_r(low_coeff, rv_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(high_coeff, rv_coefficient.upper(), ROUND_NOT_NEEDED);
- if (low_coeff != 0 || high_coeff != 0)
- do_update = true;
- }
-
- if (do_update) {
- Variable var(v);
- dimension_type n_var = 2 * v;
- /*
- VERY DIRTY trick: since we need to keep the old unary constraints
- while computing the new ones, we momentarily keep the new coefficients
- in the main diagonal of the matrix. They will be moved later.
- */
- linear_form_upper_bound(right_minus_left + var, upper_bound);
- mul_2exp_assign_r(matrix[n_var + 1][n_var + 1], upper_bound, 1,
- ROUND_UP);
- linear_form_upper_bound(right_minus_left - var, upper_bound);
- mul_2exp_assign_r(matrix[n_var][n_var], upper_bound, 1,
- ROUND_UP);
- }
- }
-
- /*
- Now move the newly computed coefficients from the main diagonal to
- their proper place, and restore +infinity on the diagonal.
- */
- Row_Iterator m_ite = matrix.row_begin();
- Row_Iterator m_end = matrix.row_end();
- for (dimension_type i = 0; m_ite != m_end; i += 2) {
- Row_Reference upper = *m_ite;
- N& ul = upper[i];
- add_octagonal_constraint(i, i + 1, ul);
- assign_r(ul, PLUS_INFINITY, ROUND_NOT_NEEDED);
- ++m_ite;
- Row_Reference lower = *m_ite;
- N& lr = lower[i + 1];
- add_octagonal_constraint(i + 1, i, lr);
- assign_r(lr, PLUS_INFINITY, ROUND_NOT_NEEDED);
- ++m_ite;
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::refine_no_check(const Constraint& c) {
- PPL_ASSERT(!marked_empty());
- const dimension_type c_space_dim = c.space_dimension();
- PPL_ASSERT(c_space_dim <= space_dim);
-
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(term);
- // Constraints that are not octagonal differences are ignored.
- if (!Octagonal_Shape_Helper
- ::extract_octagonal_difference(c, c_space_dim, num_vars,
- i, j, coeff, term))
- return;
-
- if (num_vars == 0) {
- const Coefficient& c_inhomo = c.inhomogeneous_term();
- // Dealing with a trivial constraint (maybe a strict inequality).
- if (c_inhomo < 0
- || (c_inhomo != 0 && c.is_equality())
- || (c_inhomo == 0 && c.is_strict_inequality()))
- set_empty();
- return;
- }
-
- // Select the cell to be modified for the "<=" part of constraint.
- typename OR_Matrix<N>::row_iterator i_iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::row_reference_type m_i = *i_iter;
- N& m_i_j = m_i[j];
- // Set `coeff' to the absolute value of itself.
- if (coeff < 0)
- neg_assign(coeff);
-
- bool is_oct_changed = false;
- // Compute the bound for `m_i_j', rounding towards plus infinity.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, term, coeff);
- if (m_i_j > d) {
- m_i_j = d;
- is_oct_changed = true;
- }
-
- if (c.is_equality()) {
- // Select the cell to be modified for the ">=" part of constraint.
- if (i % 2 == 0)
- ++i_iter;
- else
- --i_iter;
-
- typename OR_Matrix<N>::row_reference_type m_ci = *i_iter;
- using namespace Implementation::Octagonal_Shapes;
- dimension_type cj = coherent_index(j);
- N& m_ci_cj = m_ci[cj];
- // Also compute the bound for `m_ci_cj', rounding towards plus infinity.
- neg_assign(term);
- div_round_up(d, term, coeff);
- if (m_ci_cj > d) {
- m_ci_cj = d;
- is_oct_changed = true;
- }
- }
-
- // This method does not preserve closure.
- if (is_oct_changed && marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-dimension_type
-Octagonal_Shape<T>::affine_dimension() const {
- const dimension_type n_rows = matrix.num_rows();
- // A zero-space-dim shape always has affine dimension zero.
- if (n_rows == 0)
- return 0;
-
- // Strong closure is necessary to detect emptiness
- // and all (possibly implicit) equalities.
- strong_closure_assign();
- if (marked_empty())
- return 0;
-
- // The vector `leaders' is used to represent non-singular
- // equivalence classes:
- // `leaders[i] == i' if and only if `i' is the leader of its
- // equivalence class (i.e., the minimum index in the class).
- std::vector<dimension_type> leaders;
- compute_leaders(leaders);
-
- // Due to the splitting of variables, the affine dimension is the
- // number of non-singular positive zero-equivalence classes.
- dimension_type affine_dim = 0;
- for (dimension_type i = 0; i < n_rows; i += 2)
- // Note: disregard the singular equivalence class.
- if (leaders[i] == i && leaders[i + 1] == i + 1)
- ++affine_dim;
-
- return affine_dim;
-}
-
-template <typename T>
-Congruence_System
-Octagonal_Shape<T>::minimized_congruences() const {
- // Strong closure is necessary to detect emptiness
- // and all (possibly implicit) equalities.
- strong_closure_assign();
- const dimension_type space_dim = space_dimension();
- Congruence_System cgs(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cgs = Congruence_System::zero_dim_empty();
- return cgs;
- }
-
- if (marked_empty()) {
- cgs.insert(Congruence::zero_dim_false());
- return cgs;
- }
-
- // The vector `leaders' is used to represent equivalence classes:
- // `leaders[i] == i' if and only if `i' is the leader of its
- // equivalence class (i.e., the minimum index in the class).
- std::vector<dimension_type> leaders;
- compute_leaders(leaders);
-
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- for (dimension_type i = 0, i_end = 2*space_dim; i != i_end; i += 2) {
- const dimension_type lead_i = leaders[i];
- if (i == lead_i) {
- if (leaders[i + 1] == i)
- // `i' is the leader of the singular equivalence class.
- goto singular;
- else
- // `i' is the leader of a non-singular equivalence class.
- continue;
- }
- else {
- // `i' is not a leader.
- if (leaders[i + 1] == lead_i)
- // `i' belongs to the singular equivalence class.
- goto singular;
- else
- // `i' does not belong to the singular equivalence class.
- goto non_singular;
- }
-
- singular:
- // `i' belongs to the singular equivalence class:
- // we have a unary equality constraint.
- {
- const Variable x(i/2);
- const N& c_ii_i = matrix[i + 1][i];
-#ifndef NDEBUG
- const N& c_i_ii = matrix[i][i + 1];
- PPL_ASSERT(is_additive_inverse(c_i_ii, c_ii_i));
-#endif
- numer_denom(c_ii_i, numer, denom);
- denom *= 2;
- cgs.insert(denom*x == numer);
- }
- continue;
-
- non_singular:
- // `i' does not belong to the singular equivalence class.
- // we have a binary equality constraint.
- {
- const N& c_i_li = matrix[i][lead_i];
-#ifndef NDEBUG
- using namespace Implementation::Octagonal_Shapes;
- const N& c_ii_lii = matrix[i + 1][coherent_index(lead_i)];
- PPL_ASSERT(is_additive_inverse(c_ii_lii, c_i_li));
-#endif
- const Variable x(lead_i/2);
- const Variable y(i/2);
- numer_denom(c_i_li, numer, denom);
- if (lead_i % 2 == 0)
- cgs.insert(denom*x - denom*y == numer);
- else
- cgs.insert(denom*x + denom*y + numer == 0);
- }
- continue;
- }
- return cgs;
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::concatenate_assign(const Octagonal_Shape& y) {
- // If `y' is an empty 0-dim space octagon, let `*this' become empty.
- // If `y' is an universal 0-dim space octagon, we simply return.
- if (y.space_dim == 0) {
- if (y.marked_empty())
- set_empty();
- return;
- }
-
- // If `*this' is an empty 0-dim space octagon, then it is sufficient
- // to adjust the dimension of the vector space.
- if (space_dim == 0 && marked_empty()) {
- add_space_dimensions_and_embed(y.space_dim);
- return;
- }
-
- // This is the old number of rows in the matrix. It is equal to
- // the first index of columns to change.
- dimension_type old_num_rows = matrix.num_rows();
- // First we increase the space dimension of `*this' by adding
- // `y.space_dimension()' new dimensions.
- // The matrix for the new octagon is obtained
- // by leaving the old system of constraints in the upper left-hand side
- // (where they are at the present) and placing the constraints of `y' in the
- // lower right-hand side.
- add_space_dimensions_and_embed(y.space_dim);
- typename OR_Matrix<N>::const_element_iterator
- y_it = y.matrix.element_begin();
- for (typename OR_Matrix<N>::row_iterator
- i = matrix.row_begin() + old_num_rows,
- matrix_row_end = matrix.row_end(); i != matrix_row_end; ++i) {
- typename OR_Matrix<N>::row_reference_type r = *i;
- dimension_type rs_i = i.row_size();
- for (dimension_type j = old_num_rows; j < rs_i; ++j, ++y_it)
- r[j] = *y_it;
- }
-
- // The concatenation does not preserve the closure.
- if (marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::contains(const Octagonal_Shape& y) const {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("contains(y)", y);
-
- if (space_dim == 0) {
- // The zero-dimensional empty octagon only contains another
- // zero-dimensional empty octagon.
- // The zero-dimensional universe octagon contains any other
- // zero-dimensional octagon.
- return marked_empty() ? y.marked_empty() : true;
- }
-
- // `y' needs to be transitively closed.
- y.strong_closure_assign();
- // An empty octagon is in any other dimension-compatible octagons.
- if (y.marked_empty())
- return true;
-
- // If `*this' is empty it can not contain `y' (which is not empty).
- if (is_empty())
- return false;
-
- // `*this' contains `y' if and only if every element of `*this'
- // is greater than or equal to the correspondent one of `y'.
- for (typename OR_Matrix<N>::const_element_iterator
- i = matrix.element_begin(), j = y.matrix.element_begin(),
- matrix_element_end = matrix.element_end();
- i != matrix_element_end; ++i, ++j)
- if (*i < *j)
- return false;
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::is_disjoint_from(const Octagonal_Shape& y) const {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("is_disjoint_from(y)", y);
-
- // If one Octagonal_Shape is empty, the Octagonal_Shapes are disjoint.
- strong_closure_assign();
- if (marked_empty())
- return true;
- y.strong_closure_assign();
- if (y.marked_empty())
- return true;
-
- // Two Octagonal_Shapes are disjoint if and only if their
- // intersection is empty, i.e., if and only if there exists a
- // variable such that the upper bound of the constraint on that
- // variable in the first Octagonal_Shape is strictly less than the
- // lower bound of the corresponding constraint in the second
- // Octagonal_Shape or vice versa.
-
- const dimension_type n_rows = matrix.num_rows();
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
-
- const Row_Iterator y_begin = y.matrix.row_begin();
-
- PPL_DIRTY_TEMP(N, neg_y_ci_cj);
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
- using namespace Implementation::Octagonal_Shapes;
- const dimension_type i = i_iter.index();
- const dimension_type ci = coherent_index(i);
- const dimension_type rs_i = i_iter.row_size();
- Row_Reference m_i = *i_iter;
- for (dimension_type j = 0; j < n_rows; ++j) {
- const dimension_type cj = coherent_index(j);
- Row_Reference m_cj = *(m_begin + cj);
- const N& m_i_j = (j < rs_i) ? m_i[j] : m_cj[ci];
- Row_Reference y_ci = *(y_begin + ci);
- Row_Reference y_j = *(y_begin + j);
- const N& y_ci_cj = (j < rs_i) ? y_ci[cj] : y_j[i];
- neg_assign_r(neg_y_ci_cj, y_ci_cj, ROUND_UP);
- if (m_i_j < neg_y_ci_cj)
- return true;
- }
- }
- return false;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::is_universe() const {
- // An empty octagon is not universe.
- if (marked_empty())
- return false;
-
- // If the octagon is non-empty and zero-dimensional,
- // then it is necessarily the universe octagon.
- if (space_dim == 0)
- return true;
-
- // An universe octagon can only contains trivial constraints.
- for (typename OR_Matrix<N>::const_element_iterator
- i = matrix.element_begin(), matrix_element_end = matrix.element_end();
- i != matrix_element_end;
- ++i)
- if (!is_plus_infinity(*i))
- return false;
-
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::is_bounded() const {
- strong_closure_assign();
- // A zero-dimensional or empty octagon is bounded.
- if (marked_empty() || space_dim == 0)
- return true;
-
- // A bounded octagon never can contains trivial constraints.
- for (typename OR_Matrix<N>::const_row_iterator i = matrix.row_begin(),
- matrix_row_end = matrix.row_end(); i != matrix_row_end; ++i) {
- typename OR_Matrix<N>::const_row_reference_type x_i = *i;
- const dimension_type i_index = i.index();
- for (dimension_type j = i.row_size(); j-- > 0; )
- if (i_index != j)
- if (is_plus_infinity(x_i[j]))
- return false;
- }
-
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::contains_integer_point() const {
- // Force strong closure.
- if (is_empty())
- return false;
- const dimension_type space_dim = space_dimension();
- if (space_dim == 0)
- return true;
-
- // A strongly closed and consistent Octagonal_Shape defined by
- // integer constraints can only be empty due to tight coherence.
- if (std::numeric_limits<T>::is_integer)
- return !tight_coherence_would_make_empty();
-
- // Build an integer Octagonal_Shape oct_z with bounds at least as
- // tight as those in *this and then recheck for emptiness, also
- // exploiting tight-coherence.
- Octagonal_Shape<mpz_class> oct_z(space_dim);
- oct_z.reset_strongly_closed();
-
- typedef Octagonal_Shape<mpz_class>::N Z;
- bool all_integers = true;
- typename OR_Matrix<N>::const_element_iterator x_i = matrix.element_begin();
- for (typename OR_Matrix<Z>::element_iterator
- z_i = oct_z.matrix.element_begin(),
- z_end = oct_z.matrix.element_end(); z_i != z_end; ++z_i, ++x_i) {
- const N& d = *x_i;
- if (is_plus_infinity(d))
- continue;
- if (is_integer(d))
- assign_r(*z_i, d, ROUND_NOT_NEEDED);
- else {
- all_integers = false;
- assign_r(*z_i, d, ROUND_DOWN);
- }
- }
- // Restore strong closure.
- if (all_integers)
- // oct_z unchanged, so it is still strongly closed.
- oct_z.set_strongly_closed();
- else {
- // oct_z changed: recompute strong closure.
- oct_z.strong_closure_assign();
- if (oct_z.marked_empty())
- return false;
- }
- return !oct_z.tight_coherence_would_make_empty();
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const {
- dimension_type space_dim = space_dimension();
- // The dimension of `expr' must be at most the dimension of *this.
- if (space_dim < expr.space_dimension())
- throw_dimension_incompatible("frequency(e, ...)", "e", expr);
-
- // Check if `expr' has a constant value.
- // If it is constant, set the frequency `freq_n' to 0
- // and return true. Otherwise the values for \p expr
- // are not discrete so return false.
-
- // Space dimension is 0: if empty, then return false;
- // otherwise the frequency is 0 and the value is the inhomogeneous term.
- if (space_dim == 0) {
- if (is_empty())
- return false;
- freq_n = 0;
- freq_d = 1;
- val_n = expr.inhomogeneous_term();
- val_d = 1;
- return true;
- }
-
- strong_closure_assign();
- // For an empty Octagonal shape, we simply return false.
- if (marked_empty())
- return false;
-
- // The Octagonal shape has at least 1 dimension and is not empty.
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(coeff_j);
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- Linear_Expression le = expr;
- // Boolean to keep track of a variable `v' in expression `le'.
- // If we can replace `v' by an expression using variables other
- // than `v' and are already in `le', then this is set to true.
- bool constant_v = false;
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
-
- PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
- val_denom = 1;
-
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
- constant_v = false;
- dimension_type i = i_iter.index();
- const Variable v(i/2);
- coeff = le.coefficient(v);
- if (coeff == 0) {
- constant_v = true;
- continue;
- }
- // We check the unary constraints.
- Row_Reference m_i = *i_iter;
- Row_Reference m_ii = *(i_iter + 1);
- const N& m_i_ii = m_i[i + 1];
- const N& m_ii_i = m_ii[i];
- if ((!is_plus_infinity(m_i_ii) && !is_plus_infinity(m_ii_i))
- && (is_additive_inverse(m_i_ii, m_ii_i))) {
- // If `v' is constant, replace it in `le' by the value.
- numer_denom(m_i_ii, numer, denom);
- denom *= 2;
- le -= coeff*v;
- le *= denom;
- le -= numer*coeff;
- val_denom *= denom;
- constant_v = true;
- continue;
- }
- // Check the octagonal constraints between `v' and the other dimensions
- // that have non-zero coefficient in `le'.
- else {
- PPL_ASSERT(!constant_v);
- using namespace Implementation::Octagonal_Shapes;
- const dimension_type ci = coherent_index(i);
- for (Row_Iterator j_iter = i_iter; j_iter != m_end; j_iter += 2) {
- dimension_type j = j_iter.index();
- const Variable vj(j/2);
- coeff_j = le.coefficient(vj);
- if (coeff_j == 0)
- // The coefficient in `le' is 0, so do nothing.
- continue;
- const dimension_type cj = coherent_index(j);
- const dimension_type cjj = coherent_index(j + 1);
-
- Row_Reference m_j = *(m_begin + j);
- Row_Reference m_cj = *(m_begin + cj);
- const N& m_j_i = m_j[i];
- const N& m_i_j = m_cj[ci];
- if ((!is_plus_infinity(m_i_j) && !is_plus_infinity(m_j_i))
- && (is_additive_inverse(m_i_j, m_j_i))) {
- // The coefficient for `vj' in `le' is not 0
- // and the constraint with `v' is an equality.
- // So apply this equality to eliminate `v' in `le'.
- numer_denom(m_i_j, numer, denom);
- le -= coeff*v;
- le += coeff*vj;
- le *= denom;
- le -= numer*coeff;
- val_denom *= denom;
- constant_v = true;
- break;
- }
-
- m_j = *(m_begin + (j + 1));
- m_cj = *(m_begin + cjj);
- const N& m_j_i1 = m_j[i];
- const N& m_i_j1 = m_cj[ci];
- if ((!is_plus_infinity(m_i_j1) && !is_plus_infinity(m_j_i1))
- && (is_additive_inverse(m_i_j1, m_j_i1))) {
- // The coefficient for `vj' in `le' is not 0
- // and the constraint with `v' is an equality.
- // So apply this equality to eliminate `v' in `le'.
- numer_denom(m_i_j1, numer, denom);
- le -= coeff*v;
- le -= coeff*vj;
- le *= denom;
- le -= numer*coeff;
- val_denom *= denom;
- constant_v = true;
- break;
- }
- }
- if (!constant_v)
- // The expression `expr' is not constant.
- return false;
- }
- }
- if (!constant_v)
- // The expression `expr' is not constant.
- return false;
-
- // The expression 'expr' is constant.
- freq_n = 0;
- freq_d = 1;
-
- // Reduce `val_n' and `val_d'.
- normalize2(le.inhomogeneous_term(), val_denom, val_n, val_d);
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::constrains(const Variable var) const {
- // `var' should be one of the dimensions of the octagonal shape.
- const dimension_type var_space_dim = var.space_dimension();
- if (space_dimension() < var_space_dim)
- throw_dimension_incompatible("constrains(v)", "v", var);
-
- // An octagon known to be empty constrains all variables.
- // (Note: do not force emptiness check _yet_)
- if (marked_empty())
- return true;
-
- // Check whether `var' is syntactically constrained.
- const dimension_type n_v = 2*(var_space_dim - 1);
- typename OR_Matrix<N>::const_row_iterator m_iter = matrix.row_begin() + n_v;
- typename OR_Matrix<N>::const_row_reference_type r_v = *m_iter;
- typename OR_Matrix<N>::const_row_reference_type r_cv = *(++m_iter);
- for (dimension_type h = m_iter.row_size(); h-- > 0; ) {
- if (!is_plus_infinity(r_v[h]) || !is_plus_infinity(r_cv[h]))
- return true;
- }
- ++m_iter;
- for (typename OR_Matrix<N>::const_row_iterator m_end = matrix.row_end();
- m_iter != m_end; ++m_iter) {
- typename OR_Matrix<N>::const_row_reference_type r = *m_iter;
- if (!is_plus_infinity(r[n_v]) || !is_plus_infinity(r[n_v + 1]))
- return true;
- }
-
- // `var' is not syntactically constrained:
- // now force an emptiness check.
- return is_empty();
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::is_strong_coherent() const {
- // This method is only used by method OK() so as to check if a
- // strongly closed matrix is also strong-coherent, as it must be.
- const dimension_type num_rows = matrix.num_rows();
-
- // Allocated here once and for all.
- PPL_DIRTY_TEMP(N, semi_sum);
- // The strong-coherence is: for every indexes i and j (and i != j)
- // matrix[i][j] <= (matrix[i][ci] + matrix[cj][j])/2
- // where ci = i + 1, if i is even number or
- // ci = i - 1, if i is odd.
- // Ditto for cj.
- for (dimension_type i = num_rows; i-- > 0; ) {
- typename OR_Matrix<N>::const_row_iterator iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::const_row_reference_type m_i = *iter;
- using namespace Implementation::Octagonal_Shapes;
- const N& m_i_ci = m_i[coherent_index(i)];
- for (dimension_type j = matrix.row_size(i); j-- > 0; )
- // Note: on the main diagonal only PLUS_INFINITY can occur.
- if (i != j) {
- const N& m_cj_j = matrix[coherent_index(j)][j];
- if (!is_plus_infinity(m_i_ci)
- && !is_plus_infinity(m_cj_j)) {
- // Compute (m_i_ci + m_cj_j)/2 into `semi_sum',
- // rounding the result towards plus infinity.
- add_assign_r(semi_sum, m_i_ci, m_cj_j, ROUND_UP);
- div_2exp_assign_r(semi_sum, semi_sum, 1, ROUND_UP);
- if (m_i[j] > semi_sum)
- return false;
- }
- }
- }
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::is_strongly_reduced() const {
- // This method is only used in assertions: efficiency is not a must.
-
- // An empty octagon is already transitively reduced.
- if (marked_empty())
- return true;
-
- Octagonal_Shape x = *this;
- // The matrix representing an OS is strongly reduced if, by removing
- // any constraint, the resulting matrix describes a different OS.
- for (typename OR_Matrix<N>::const_row_iterator iter = matrix.row_begin(),
- matrix_row_end = matrix.row_end(); iter != matrix_row_end; ++iter) {
- typename OR_Matrix<N>::const_row_reference_type m_i = *iter;
- const dimension_type i = iter.index();
- for (dimension_type j = iter.row_size(); j-- > 0; ) {
- if (!is_plus_infinity(m_i[j])) {
- Octagonal_Shape x_copy = *this;
- assign_r(x_copy.matrix[i][j], PLUS_INFINITY, ROUND_NOT_NEEDED);
- if (x == x_copy)
- return false;
- }
- }
- }
- // The octagon is just reduced.
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::bounds(const Linear_Expression& expr,
- const bool from_above) const {
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((from_above
- ? "bounds_from_above(e)"
- : "bounds_from_below(e)"), "e", expr);
- strong_closure_assign();
-
- // A zero-dimensional or empty octagon bounds everything.
- if (space_dim == 0 || marked_empty())
- return true;
-
- // The constraint `c' is used to check if `expr' is an octagonal difference
- // and, in this case, to select the cell.
- const Constraint& c = (from_above) ? expr <= 0 : expr >= 0;
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(term);
- if (Octagonal_Shape_Helper
- ::extract_octagonal_difference(c, c.space_dimension(), num_vars,
- i, j, coeff, term)) {
- if (num_vars == 0)
- return true;
- // Select the cell to be checked.
- typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
- return !is_plus_infinity(m_i[j]);
- }
- else {
- // `c' is not an octagonal constraint: use the MIP solver.
- Optimization_Mode mode_bounds =
- from_above ? MAXIMIZATION : MINIMIZATION;
- MIP_Problem mip(space_dim, constraints(), expr, mode_bounds);
- return mip.solve() == OPTIMIZED_MIP_PROBLEM;
- }
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included) const {
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
- // Deal with zero-dim octagons first.
- if (space_dim == 0) {
- if (marked_empty())
- return false;
- else {
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- return true;
- }
- }
-
- strong_closure_assign();
- // For an empty OS we simply return false.
- if (marked_empty())
- return false;
-
- // The constraint `c' is used to check if `expr' is an octagonal difference
- // and, in this case, to select the cell.
- const Constraint& c = (maximize) ? expr <= 0 : expr >= 0;
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(term);
- if (!Octagonal_Shape_Helper
- ::extract_octagonal_difference(c, c.space_dimension(), num_vars,
- i, j, coeff, term)) {
- // `c' is not an octagonal constraint: use the MIP solver.
- Optimization_Mode max_min = (maximize) ? MAXIMIZATION : MINIMIZATION;
- MIP_Problem mip(space_dim, constraints(), expr, max_min);
- if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
- mip.optimal_value(ext_n, ext_d);
- included = true;
- return true;
- }
- else
- // Here`expr' is unbounded in `*this'.
- return false;
- }
- else {
- // `c' is an octagonal constraint.
- if (num_vars == 0) {
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- return true;
- }
-
- // Select the cell to be checked.
- typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
- PPL_DIRTY_TEMP(N, d);
- if (!is_plus_infinity(m_i[j])) {
- const Coefficient& b = expr.inhomogeneous_term();
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = maximize ? b : minus_b;
- assign_r(d, sc_b, ROUND_UP);
- // Set `coeff_expr' to the absolute value of coefficient of a variable
- // of `expr'.
- PPL_DIRTY_TEMP(N, coeff_expr);
- const Coefficient& coeff_i = expr.coefficient(Variable(i/2));
- const int sign_i = sgn(coeff_i);
- if (sign_i > 0)
- assign_r(coeff_expr, coeff_i, ROUND_UP);
- else {
- PPL_DIRTY_TEMP_COEFFICIENT(minus_coeff_i);
- neg_assign(minus_coeff_i, coeff_i);
- assign_r(coeff_expr, minus_coeff_i, ROUND_UP);
- }
- // Approximating the maximum/minimum of `expr'.
- if (num_vars == 1) {
- PPL_DIRTY_TEMP(N, m_i_j);
- div_2exp_assign_r(m_i_j, m_i[j], 1, ROUND_UP);
- add_mul_assign_r(d, coeff_expr, m_i_j, ROUND_UP);
- }
- else
- add_mul_assign_r(d, coeff_expr, m_i[j], ROUND_UP);
- numer_denom(d, ext_n, ext_d);
- if (!maximize)
- neg_assign(ext_n);
- included = true;
- return true;
- }
-
- // The `expr' is unbounded.
- return false;
- }
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included, Generator& g) const {
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
- // Deal with zero-dim octagons first.
- if (space_dim == 0) {
- if (marked_empty())
- return false;
- else {
- ext_n = expr.inhomogeneous_term();
- ext_d = 1;
- included = true;
- g = point();
- return true;
- }
- }
-
- strong_closure_assign();
- // For an empty OS we simply return false.
- if (marked_empty())
- return false;
- if (!is_universe()) {
- // We use MIP_Problems to handle constraints that are not
- // octagonal difference.
- Optimization_Mode max_min = (maximize) ? MAXIMIZATION : MINIMIZATION;
- MIP_Problem mip(space_dim, constraints(), expr, max_min);
- if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = mip.optimizing_point();
- mip.evaluate_objective_function(g, ext_n, ext_d);
- included = true;
- return true;
- }
- }
- // The `expr' is unbounded.
- return false;
-}
-
-template <typename T>
-Poly_Con_Relation
-Octagonal_Shape<T>::relation_with(const Congruence& cg) const {
- dimension_type cg_space_dim = cg.space_dimension();
-
- // Dimension-compatibility check.
- if (cg_space_dim > space_dim)
- throw_dimension_incompatible("relation_with(cg)", cg);
-
- // If the congruence is an equality,
- // find the relation with the equivalent equality constraint.
- if (cg.is_equality()) {
- Constraint c(cg);
- return relation_with(c);
- }
-
- strong_closure_assign();
-
- if (marked_empty())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint();
-
- if (space_dim == 0) {
- if (cg.is_inconsistent())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- }
-
- // Find the lower bound for a hyperplane with direction
- // defined by the congruence.
- Linear_Expression le = Linear_Expression(cg);
- PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
- PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
- bool min_included;
- bool bounded_below = minimize(le, min_numer, min_denom, min_included);
-
- // If there is no lower bound, then some of the hyperplanes defined by
- // the congruence will strictly intersect the shape.
- if (!bounded_below)
- return Poly_Con_Relation::strictly_intersects();
-
- // TODO: Consider adding a max_and_min() method, performing both
- // maximization and minimization so as to possibly exploit
- // incrementality of the MIP solver.
-
- // Find the upper bound for a hyperplane with direction
- // defined by the congruence.
- PPL_DIRTY_TEMP_COEFFICIENT(max_numer);
- PPL_DIRTY_TEMP_COEFFICIENT(max_denom);
- bool max_included;
- bool bounded_above = maximize(le, max_numer, max_denom, max_included);
-
- // If there is no upper bound, then some of the hyperplanes defined by
- // the congruence will strictly intersect the shape.
- if (!bounded_above)
- return Poly_Con_Relation::strictly_intersects();
-
- PPL_DIRTY_TEMP_COEFFICIENT(signed_distance);
-
- // Find the position value for the hyperplane that satisfies the congruence
- // and is above the lower bound for the shape.
- PPL_DIRTY_TEMP_COEFFICIENT(min_value);
- min_value = min_numer / min_denom;
- const Coefficient& modulus = cg.modulus();
- signed_distance = min_value % modulus;
- min_value -= signed_distance;
- if (min_value * min_denom < min_numer)
- min_value += modulus;
-
- // Find the position value for the hyperplane that satisfies the congruence
- // and is below the upper bound for the shape.
- PPL_DIRTY_TEMP_COEFFICIENT(max_value);
- max_value = max_numer / max_denom;
- signed_distance = max_value % modulus;
- max_value += signed_distance;
- if (max_value * max_denom > max_numer)
- max_value -= modulus;
-
- // If the upper bound value is less than the lower bound value,
- // then there is an empty intersection with the congruence;
- // otherwise it will strictly intersect.
- if (max_value < min_value)
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
-}
-
-template <typename T>
-Poly_Con_Relation
-Octagonal_Shape<T>::relation_with(const Constraint& c) const {
- dimension_type c_space_dim = c.space_dimension();
-
- // Dimension-compatibility check.
- if (c_space_dim > space_dim)
- throw_dimension_incompatible("relation_with(c)", c);
-
- // The closure needs to make explicit the implicit constraints.
- strong_closure_assign();
-
- if (marked_empty())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint();
-
- if (space_dim == 0) {
- // Trivially false zero-dimensional constraint.
- if ((c.is_equality() && c.inhomogeneous_term() != 0)
- || (c.is_inequality() && c.inhomogeneous_term() < 0))
- return Poly_Con_Relation::is_disjoint();
- else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
- // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
- // thus, the zero-dimensional point also saturates it.
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
-
- // Trivially true zero-dimensional constraint.
- else if (c.is_equality() || c.inhomogeneous_term() == 0)
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- else
- // The zero-dimensional point saturates
- // neither the positivity constraint 1 >= 0,
- // nor the strict positivity constraint 1 > 0.
- return Poly_Con_Relation::is_included();
- }
-
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(c_term);
- if (!Octagonal_Shape_Helper
- ::extract_octagonal_difference(c, c_space_dim, num_vars,
- i, j, coeff, c_term)) {
- // Constraints that are not octagonal differences.
- // Use maximize() and minimize() to do much of the work.
-
- // Find the linear expression for the constraint and use that to
- // find if the expression is bounded from above or below and if it
- // is, find the maximum and minimum values.
- Linear_Expression le;
- le.set_space_dimension(c.space_dimension());
- le.linear_combine(c.expr, Coefficient_one(), Coefficient_one(),
- 1, c_space_dim + 1);
-
- PPL_DIRTY_TEMP(Coefficient, max_numer);
- PPL_DIRTY_TEMP(Coefficient, max_denom);
- bool max_included;
- PPL_DIRTY_TEMP(Coefficient, min_numer);
- PPL_DIRTY_TEMP(Coefficient, min_denom);
- bool min_included;
- bool bounded_above = maximize(le, max_numer, max_denom, max_included);
- bool bounded_below = minimize(le, min_numer, min_denom, min_included);
- if (!bounded_above) {
- if (!bounded_below)
- return Poly_Con_Relation::strictly_intersects();
- min_numer += c.inhomogeneous_term() * min_denom;
- switch (sgn(min_numer)) {
- case 1:
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::is_included();
- case 0:
- if (c.is_strict_inequality() || c.is_equality())
- return Poly_Con_Relation::strictly_intersects();
- return Poly_Con_Relation::is_included();
- case -1:
- return Poly_Con_Relation::strictly_intersects();
- }
- }
- if (!bounded_below) {
- max_numer += c.inhomogeneous_term() * max_denom;
- switch (sgn(max_numer)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- else {
- max_numer += c.inhomogeneous_term() * max_denom;
- min_numer += c.inhomogeneous_term() * min_denom;
- switch (sgn(max_numer)) {
- case 1:
- switch (sgn(min_numer)) {
- case 1:
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::is_included();
- case 0:
- if (c.is_equality())
- return Poly_Con_Relation::strictly_intersects();
- if (c.is_strict_inequality())
- return Poly_Con_Relation::strictly_intersects();
- return Poly_Con_Relation::is_included();
- case -1:
- return Poly_Con_Relation::strictly_intersects();
- }
- PPL_UNREACHABLE;
- break;
- case 0:
- if (min_numer == 0) {
- if (c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates();
- return Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates();
- }
- if (c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
- }
-
- if (num_vars == 0) {
- // Dealing with a trivial constraint.
- switch (sgn(c.inhomogeneous_term())) {
- case -1:
- return Poly_Con_Relation::is_disjoint();
- case 0:
- if (c.is_strict_inequality())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- case 1:
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::is_included();
- }
- }
-
- // Select the cell to be checked for the "<=" part of constraint.
- typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
- const N& m_i_j = m_i[j];
- // Set `coeff' to the absolute value of itself.
- if (coeff < 0)
- neg_assign(coeff);
-
- // Select the cell to be checked for the ">=" part of constraint.
- // Select the right row of the cell.
- if (i % 2 == 0)
- ++i_iter;
- else
- --i_iter;
- typename OR_Matrix<N>::const_row_reference_type m_ci = *i_iter;
- using namespace Implementation::Octagonal_Shapes;
- const N& m_ci_cj = m_ci[coherent_index(j)];
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- // The following variables of mpq_class type are used to be precise
- // when the octagon is defined by integer constraints.
- PPL_DIRTY_TEMP(mpq_class, q_x);
- PPL_DIRTY_TEMP(mpq_class, q_y);
- PPL_DIRTY_TEMP(mpq_class, d);
- PPL_DIRTY_TEMP(mpq_class, d1);
- PPL_DIRTY_TEMP(mpq_class, c_denom);
- PPL_DIRTY_TEMP(mpq_class, q_denom);
- assign_r(c_denom, coeff, ROUND_NOT_NEEDED);
- assign_r(d, c_term, ROUND_NOT_NEEDED);
- neg_assign_r(d1, d, ROUND_NOT_NEEDED);
- div_assign_r(d, d, c_denom, ROUND_NOT_NEEDED);
- div_assign_r(d1, d1, c_denom, ROUND_NOT_NEEDED);
-
- if (is_plus_infinity(m_i_j)) {
- if (!is_plus_infinity(m_ci_cj)) {
- // `*this' is in the following form:
- // `-m_ci_cj <= v - u'.
- // In this case `*this' is disjoint from `c' if
- // `-m_ci_cj > d' (`-m_ci_cj >= d' if c is a strict inequality),
- // i.e., if `m_ci_cj < d1' (`m_ci_cj <= d1'
- // if c is a strict inequality).
- numer_denom(m_ci_cj, numer, denom);
- assign_r(q_denom, denom, ROUND_NOT_NEEDED);
- assign_r(q_y, numer, ROUND_NOT_NEEDED);
- div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
- if (q_y < d1)
- return Poly_Con_Relation::is_disjoint();
- if (q_y == d1 && c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- }
-
- // In all other cases `*this' intersects `c'.
- return Poly_Con_Relation::strictly_intersects();
- }
-
- // Here `m_i_j' is not plus-infinity.
- numer_denom(m_i_j, numer, denom);
- assign_r(q_denom, denom, ROUND_NOT_NEEDED);
- assign_r(q_x, numer, ROUND_NOT_NEEDED);
- div_assign_r(q_x, q_x, q_denom, ROUND_NOT_NEEDED);
-
- if (!is_plus_infinity(m_ci_cj)) {
- numer_denom(m_ci_cj, numer, denom);
- assign_r(q_denom, denom, ROUND_NOT_NEEDED);
- assign_r(q_y, numer, ROUND_NOT_NEEDED);
- div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
- if (q_x == d && q_y == d1) {
- if (c.is_strict_inequality())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
- }
- // `*this' is disjoint from `c' when
- // `m_ci_cj < d1' (`m_ci_cj <= d1' if `c' is a strict inequality).
- if (q_y < d1)
- return Poly_Con_Relation::is_disjoint();
- if (q_y == d1 && c.is_strict_inequality())
- return Poly_Con_Relation::is_disjoint();
- }
-
- // Here `m_ci_cj' can be also plus-infinity.
- // If `c' is an equality, `*this' is disjoint from `c' if
- // `m_i_j < d'.
- if (d > q_x) {
- if (c.is_equality())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::is_included();
- }
-
- if (d == q_x && c.is_nonstrict_inequality())
- return Poly_Con_Relation::is_included();
-
- // In all other cases `*this' intersects `c'.
- return Poly_Con_Relation::strictly_intersects();
-}
-
-template <typename T>
-Poly_Gen_Relation
-Octagonal_Shape<T>::relation_with(const Generator& g) const {
- const dimension_type g_space_dim = g.space_dimension();
-
- // Dimension-compatibility check.
- if (space_dim < g_space_dim)
- throw_dimension_incompatible("relation_with(g)", g);
-
- // The closure needs to make explicit the implicit constraints and if the
- // octagon is empty.
- strong_closure_assign();
-
- // The empty octagon cannot subsume a generator.
- if (marked_empty())
- return Poly_Gen_Relation::nothing();
-
- // A universe octagon in a zero-dimensional space subsumes
- // all the generators of a zero-dimensional space.
- if (space_dim == 0)
- return Poly_Gen_Relation::subsumes();
-
- const bool is_line = g.is_line();
- const bool is_line_or_ray = g.is_line_or_ray();
-
- // The relation between the octagon and the given generator is obtained
- // checking if the generator satisfies all the constraints in the octagon.
- // To check if the generator satisfies all the constraints it's enough
- // studying the sign of the scalar product between the generator and
- // all the constraints in the octagon.
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
-
- PPL_DIRTY_TEMP_COEFFICIENT(numer);
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- PPL_DIRTY_TEMP_COEFFICIENT(product);
-
- // We find in `*this' all the constraints.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
- dimension_type i = i_iter.index();
- Row_Reference m_i = *i_iter;
- Row_Reference m_ii = *(i_iter + 1);
- const N& m_i_ii = m_i[i + 1];
- const N& m_ii_i = m_ii[i];
- // We have the unary constraints.
- const Variable x(i/2);
- const Coefficient& g_coeff_x
- = (x.space_dimension() > g_space_dim)
- ? Coefficient_zero()
- : g.coefficient(x);
- if (is_additive_inverse(m_i_ii, m_ii_i)) {
- // The constraint has form ax = b.
- // To satisfy the constraint it is necessary that the scalar product
- // is not zero. The scalar product has the form
- // 'denom * g_coeff_x - numer * g.divisor()'.
- numer_denom(m_ii_i, numer, denom);
- denom *= 2;
- product = denom * g_coeff_x;
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (product != 0)
- return Poly_Gen_Relation::nothing();
- }
- // We have 0, 1 or 2 inequality constraints.
- else {
- if (!is_plus_infinity(m_i_ii)) {
- // The constraint has form -ax <= b.
- // If the generator is a line it's necessary to check if
- // the scalar product is not zero, if it is positive otherwise.
- numer_denom(m_i_ii, numer, denom);
- denom *= -2;
- product = denom * g_coeff_x;
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (is_line && product != 0)
- return Poly_Gen_Relation::nothing();
- else
- // If the generator is not a line it's necessary to check
- // that the scalar product sign is not positive and the scalar
- // product has the form
- // '-denom * g.coeff_x - numer * g.divisor()'.
- if (product > 0)
- return Poly_Gen_Relation::nothing();
- }
- if (!is_plus_infinity(m_ii_i)) {
- // The constraint has form ax <= b.
- numer_denom(m_ii_i, numer, denom);
- denom *= 2;
- product = denom * g_coeff_x;
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer , g.divisor());
- }
- if (is_line && product != 0)
- return Poly_Gen_Relation::nothing();
- else
- // If the generator is not a line it's necessary to check
- // that the scalar product sign is not positive and the scalar
- // product has the form
- // 'denom * g_coeff_x - numer * g.divisor()'.
- if (product > 0)
- return Poly_Gen_Relation::nothing();
- }
- }
- }
-
- // We have the binary constraints.
- for (Row_Iterator i_iter = m_begin ; i_iter != m_end; i_iter += 2) {
- dimension_type i = i_iter.index();
- Row_Reference m_i = *i_iter;
- Row_Reference m_ii = *(i_iter + 1);
- for (dimension_type j = 0; j < i; j += 2) {
- const N& m_i_j = m_i[j];
- const N& m_ii_jj = m_ii[j + 1];
- const N& m_ii_j = m_ii[j];
- const N& m_i_jj = m_i[j + 1];
- const Variable x(j/2);
- const Variable y(i/2);
- const Coefficient& g_coeff_x
- = (x.space_dimension() > g_space_dim)
- ? Coefficient_zero()
- : g.coefficient(x);
- const Coefficient& g_coeff_y
- = (y.space_dimension() > g_space_dim)
- ? Coefficient_zero()
- : g.coefficient(y);
-
- const bool difference_is_equality = is_additive_inverse(m_ii_jj, m_i_j);
- if (difference_is_equality) {
- // The constraint has form a*x - a*y = b.
- // The scalar product has the form
- // 'denom * coeff_x - denom * coeff_y - numer * g.divisor()'.
- // To satisfy the constraint it's necessary that the scalar product
- // is not zero.
- numer_denom(m_i_j, numer, denom);
- product = denom * g_coeff_x;
- neg_assign(denom);
- add_mul_assign(product, denom, g_coeff_y);
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (product != 0)
- return Poly_Gen_Relation::nothing();
- }
- else {
- if (!is_plus_infinity(m_i_j)) {
- // The constraint has form a*x - a*y <= b.
- // The scalar product has the form
- // 'denom * coeff_x - denom * coeff_y - numer * g.divisor()'.
- // If the generator is not a line it's necessary to check
- // that the scalar product sign is not positive.
- numer_denom(m_i_j, numer, denom);
- product = denom * g_coeff_x;
- neg_assign(denom);
- add_mul_assign(product, denom, g_coeff_y);
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (is_line && product != 0)
- return Poly_Gen_Relation::nothing();
- else if (product > 0)
- return Poly_Gen_Relation::nothing();
- }
- if (!is_plus_infinity(m_ii_jj)) {
- // The constraint has form -a*x + a*y <= b.
- // The scalar product has the form
- // '-denom * coeff_x + denom * coeff_y - numer * g.divisor()'.
- // If the generator is not a line it's necessary to check
- // that the scalar product sign is not positive.
- numer_denom(m_ii_jj, numer, denom);
- product = denom * g_coeff_y;
- neg_assign(denom);
- add_mul_assign(product, denom, g_coeff_x);
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (is_line && product != 0)
- return Poly_Gen_Relation::nothing();
- else if (product > 0)
- return Poly_Gen_Relation::nothing();
- }
- }
-
- const bool sum_is_equality = is_additive_inverse(m_i_jj, m_ii_j);
- if (sum_is_equality) {
- // The constraint has form a*x + a*y = b.
- // The scalar product has the form
- // 'denom * coeff_x + denom * coeff_y - numer * g.divisor()'.
- // To satisfy the constraint it's necessary that the scalar product
- // is not zero.
- numer_denom(m_ii_j, numer, denom);
- product = denom * g_coeff_x;
- add_mul_assign(product, denom, g_coeff_y);
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (product != 0)
- return Poly_Gen_Relation::nothing();
- }
- else {
- if (!is_plus_infinity(m_i_jj)) {
- // The constraint has form -a*x - a*y <= b.
- // The scalar product has the form
- // '-denom * coeff_x - denom * coeff_y - numer * g.divisor()'.
- // If the generator is not a line it's necessary to check
- // that the scalar product sign is not positive.
- numer_denom(m_i_jj, numer, denom);
- neg_assign(denom);
- product = denom * g_coeff_x;
- add_mul_assign(product, denom, g_coeff_y);
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (is_line && product != 0)
- return Poly_Gen_Relation::nothing();
- else if (product > 0)
- return Poly_Gen_Relation::nothing();
- }
- if (!is_plus_infinity(m_ii_j)) {
- // The constraint has form a*x + a*y <= b.
- // The scalar product has the form
- // 'denom * coeff_x + denom * coeff_y - numer * g.divisor()'.
- // If the generator is not a line it's necessary to check
- // that the scalar product sign is not positive.
- numer_denom(m_ii_j, numer, denom);
- product = denom * g_coeff_x;
- add_mul_assign(product, denom, g_coeff_y);
- // Note that if the generator `g' is a line or a ray,
- // its divisor is zero.
- if (!is_line_or_ray) {
- neg_assign(numer);
- add_mul_assign(product, numer, g.divisor());
- }
- if (is_line && product != 0)
- return Poly_Gen_Relation::nothing();
- else if (product > 0)
- return Poly_Gen_Relation::nothing();
- }
- }
- }
- }
- // If this point is reached the constraint 'g' satisfies
- // all the constraints in the octagon.
- return Poly_Gen_Relation::subsumes();
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::strong_closure_assign() const {
- // Do something only if necessary (zero-dim implies strong closure).
- if (marked_empty() || marked_strongly_closed() || space_dim == 0)
- return;
-
- // Even though the octagon will not change, its internal representation
- // is going to be modified by the closure algorithm.
- Octagonal_Shape& x = const_cast<Octagonal_Shape<T>&>(*this);
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
-
- const dimension_type n_rows = x.matrix.num_rows();
- const Row_Iterator m_begin = x.matrix.row_begin();
- const Row_Iterator m_end = x.matrix.row_end();
-
- // Fill the main diagonal with zeros.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
- PPL_ASSERT(is_plus_infinity((*i)[i.index()]));
- assign_r((*i)[i.index()], 0, ROUND_NOT_NEEDED);
- }
-
- // This algorithm is given by two steps: the first one is a simple
- // adaptation of the `shortest-path closure' using the Floyd-Warshall
- // algorithm; the second one is the `strong-coherence' algorithm.
- // It is important to note that after the strong-coherence,
- // the octagon is still shortest-path closed and hence, strongly closed.
-
- // Recall that, given an index `h', we indicate with `ch' the coherent
- // index, i.e., the index such that:
- // ch = h + 1, if h is an even number;
- // ch = h - 1, if h is an odd number.
-
- typename OR_Matrix<N>::element_iterator iter_ij;
- std::vector<N> vec_k(n_rows);
- std::vector<N> vec_ck(n_rows);
- PPL_DIRTY_TEMP(N, sum1);
- PPL_DIRTY_TEMP(N, sum2);
- Row_Reference x_k;
- Row_Reference x_ck;
- Row_Reference x_i;
- Row_Reference x_ci;
-
- // Since the index `j' of the inner loop will go from 0 up to `i',
- // the three nested loops have to be executed twice.
- for (int twice = 0; twice < 2; ++twice) {
-
- Row_Iterator x_k_iter = m_begin;
- Row_Iterator x_i_iter = m_begin;
- for (dimension_type k = 0; k < n_rows; k += 2) {
- const dimension_type ck = k + 1;
- // Re-initialize the element iterator.
- iter_ij = x.matrix.element_begin();
- // Compute the row references `x_k' and `x_ck'.
- x_k = *x_k_iter;
- ++x_k_iter;
- x_ck = *x_k_iter;
- ++x_k_iter;
-
- for (dimension_type i = 0; i <= k; i += 2) {
- const dimension_type ci = i + 1;
- // Storing x_k_i == x_ci_ck.
- vec_k[i] = x_k[i];
- // Storing x_k_ci == x_i_ck.
- vec_k[ci] = x_k[ci];
- // Storing x_ck_i == x_ci_k.
- vec_ck[i] = x_ck[i];
- // Storing x_ck_ci == x_i_k.
- vec_ck[ci] = x_ck[ci];
- }
- x_i_iter = x_k_iter;
- for (dimension_type i = k + 2; i < n_rows; i += 2) {
- const dimension_type ci = i + 1;
- x_i = *x_i_iter;
- ++x_i_iter;
- x_ci = *x_i_iter;
- ++x_i_iter;
- // Storing x_k_i == x_ci_ck.
- vec_k[i] = x_ci[ck];
- // Storing x_k_ci == x_i_ck.
- vec_k[ci] = x_i[ck];
- // Storing x_ck_i == x_ci_k.
- vec_ck[i] = x_ci[k];
- // Storing x_ck_ci == x_i_k.
- vec_ck[ci] = x_i[k];
- }
-
- for (dimension_type i = 0; i < n_rows; ++i) {
- using namespace Implementation::Octagonal_Shapes;
- const dimension_type ci = coherent_index(i);
- const N& vec_k_ci = vec_k[ci];
- const N& vec_ck_ci = vec_ck[ci];
- // Unfolding two iterations on `j': this ensures that
- // the loop exit condition `j <= i' is OK.
- for (dimension_type j = 0; j <= i; ) {
- // First iteration: compute
- //
- // <CODE>
- // sum1 = x_i_k + x_k_j == x_ck_ci + x_k_j;
- // sum2 = x_i_ck + x_ck_j == x_k_ci + x_ck_j;
- // </CODE>
- add_assign_r(sum1, vec_ck_ci, vec_k[j], ROUND_UP);
- add_assign_r(sum2, vec_k_ci, vec_ck[j], ROUND_UP);
- min_assign(sum1, sum2);
- min_assign(*iter_ij, sum1);
- // Exiting the first iteration: loop index control.
- ++j;
- ++iter_ij;
- // Second iteration: ditto.
- add_assign_r(sum1, vec_ck_ci, vec_k[j], ROUND_UP);
- add_assign_r(sum2, vec_k_ci, vec_ck[j], ROUND_UP);
- min_assign(sum1, sum2);
- min_assign(*iter_ij, sum1);
- // Exiting the second iteration: loop index control.
- ++j;
- ++iter_ij;
- }
- }
- }
- }
-
- // Check for emptiness: the octagon is empty if and only if there is a
- // negative value in the main diagonal.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
- N& x_i_i = (*i)[i.index()];
- if (sgn(x_i_i) < 0) {
- x.set_empty();
- return;
- }
- else {
- PPL_ASSERT(sgn(x_i_i) == 0);
- // Restore PLUS_INFINITY on the main diagonal.
- assign_r(x_i_i, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
-
- // Step 2: we enforce the strong coherence.
- x.strong_coherence_assign();
- // The octagon is not empty and it is now strongly closed.
- x.set_strongly_closed();
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::strong_coherence_assign() {
- // The strong-coherence is: for every indexes i and j
- // m_i_j <= (m_i_ci + m_cj_j)/2
- // where ci = i + 1, if i is even number or
- // ci = i - 1, if i is odd.
- // Ditto for cj.
- PPL_DIRTY_TEMP(N, semi_sum);
- for (typename OR_Matrix<N>::row_iterator i_iter = matrix.row_begin(),
- i_end = matrix.row_end(); i_iter != i_end; ++i_iter) {
- typename OR_Matrix<N>::row_reference_type x_i = *i_iter;
- const dimension_type i = i_iter.index();
- using namespace Implementation::Octagonal_Shapes;
- const N& x_i_ci = x_i[coherent_index(i)];
- // Avoid to do unnecessary sums.
- if (!is_plus_infinity(x_i_ci))
- for (dimension_type j = 0, rs_i = i_iter.row_size(); j < rs_i; ++j)
- if (i != j) {
- const N& x_cj_j = matrix[coherent_index(j)][j];
- if (!is_plus_infinity(x_cj_j)) {
- add_assign_r(semi_sum, x_i_ci, x_cj_j, ROUND_UP);
- div_2exp_assign_r(semi_sum, semi_sum, 1, ROUND_UP);
- min_assign(x_i[j], semi_sum);
- }
- }
- }
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::tight_coherence_would_make_empty() const {
- PPL_ASSERT(std::numeric_limits<N>::is_integer);
- PPL_ASSERT(marked_strongly_closed());
- const dimension_type space_dim = space_dimension();
- for (dimension_type i = 0; i < 2*space_dim; i += 2) {
- const dimension_type ci = i + 1;
- const N& mat_i_ci = matrix[i][ci];
- if (!is_plus_infinity(mat_i_ci)
- // Check for oddness of `mat_i_ci'.
- && !is_even(mat_i_ci)
- // Check for zero-equivalence of `i' and `ci'.
- && is_additive_inverse(mat_i_ci, matrix[ci][i]))
- return true;
- }
- return false;
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::tight_closure_assign() {
- PPL_COMPILE_TIME_CHECK(std::numeric_limits<T>::is_integer,
- "Octagonal_Shape<T>::tight_closure_assign():"
- " T in not an integer datatype.");
- // FIXME: this is just an executable specification.
- // (The following call could be replaced by shortest-path closure.)
- strong_closure_assign();
- if (marked_empty())
- return;
- if (tight_coherence_would_make_empty())
- set_empty();
- else {
- // Tighten the unary constraints.
- PPL_DIRTY_TEMP(N, temp_one);
- assign_r(temp_one, 1, ROUND_NOT_NEEDED);
- const dimension_type space_dim = space_dimension();
- for (dimension_type i = 0; i < 2*space_dim; i += 2) {
- const dimension_type ci = i + 1;
- N& mat_i_ci = matrix[i][ci];
- if (!is_plus_infinity(mat_i_ci) && !is_even(mat_i_ci))
- sub_assign_r(mat_i_ci, mat_i_ci, temp_one, ROUND_UP);
- N& mat_ci_i = matrix[ci][i];
- if (!is_plus_infinity(mat_ci_i) && !is_even(mat_ci_i))
- sub_assign_r(mat_ci_i, mat_ci_i, temp_one, ROUND_UP);
- }
- // Propagate tightened unary constraints.
- strong_coherence_assign();
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::incremental_strong_closure_assign(const Variable var) const {
- // `var' should be one of the dimensions of the octagon.
- if (var.id() >= space_dim)
- throw_dimension_incompatible("incremental_strong_closure_assign(v)",
- var.id());
-
- // Do something only if necessary.
- if (marked_empty() || marked_strongly_closed())
- return;
-
- Octagonal_Shape& x = const_cast<Octagonal_Shape<T>&>(*this);
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
-
- const Row_Iterator m_begin = x.matrix.row_begin();
- const Row_Iterator m_end = x.matrix.row_end();
-
- // Fill the main diagonal with zeros.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
- PPL_ASSERT(is_plus_infinity((*i)[i.index()]));
- assign_r((*i)[i.index()], 0, ROUND_NOT_NEEDED);
- }
-
- // Using the incremental Floyd-Warshall algorithm.
- // Step 1: Improve all constraints on variable `var'.
- const dimension_type v = 2*var.id();
- const dimension_type cv = v + 1;
- Row_Iterator v_iter = m_begin + v;
- Row_Iterator cv_iter = v_iter + 1;
- Row_Reference x_v = *v_iter;
- Row_Reference x_cv = *cv_iter;
- const dimension_type rs_v = v_iter.row_size();
- const dimension_type n_rows = x.matrix.num_rows();
- PPL_DIRTY_TEMP(N, sum);
- using namespace Implementation::Octagonal_Shapes;
- for (Row_Iterator k_iter = m_begin; k_iter != m_end; ++k_iter) {
- const dimension_type k = k_iter.index();
- const dimension_type ck = coherent_index(k);
- const dimension_type rs_k = k_iter.row_size();
- Row_Reference x_k = *k_iter;
- Row_Reference x_ck = (k % 2 != 0) ? *(k_iter-1) : *(k_iter + 1);
-
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
- const dimension_type i = i_iter.index();
- const dimension_type ci = coherent_index(i);
- const dimension_type rs_i = i_iter.row_size();
- Row_Reference x_i = *i_iter;
- Row_Reference x_ci = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
-
- const N& x_i_k = (k < rs_i) ? x_i[k] : x_ck[ci];
- if (!is_plus_infinity(x_i_k)) {
- const N& x_k_v = (v < rs_k) ? x_k[v] : x_cv[ck];
- if (!is_plus_infinity(x_k_v)) {
- add_assign_r(sum, x_i_k, x_k_v, ROUND_UP);
- N& x_i_v = (v < rs_i) ? x_i[v] : x_cv[ci];
- min_assign(x_i_v, sum);
- }
- const N& x_k_cv = (cv < rs_k) ? x_k[cv] : x_v[ck];
- if (!is_plus_infinity(x_k_cv)) {
- add_assign_r(sum, x_i_k, x_k_cv, ROUND_UP);
- N& x_i_cv = (cv < rs_i) ? x_i[cv] : x_v[ci];
- min_assign(x_i_cv, sum);
- }
- }
- const N& x_k_i = (i < rs_k) ? x_k[i] : x_ci[ck];
- if (!is_plus_infinity(x_k_i)) {
- const N& x_v_k = (k < rs_v) ? x_v[k] : x_ck[cv];
- if (!is_plus_infinity(x_v_k)) {
- N& x_v_i = (i < rs_v) ? x_v[i] : x_ci[cv];
- add_assign_r(sum, x_v_k, x_k_i, ROUND_UP);
- min_assign(x_v_i, sum);
- }
- const N& x_cv_k = (k < rs_v) ? x_cv[k] : x_ck[v];
- if (!is_plus_infinity(x_cv_k)) {
- N& x_cv_i = (i < rs_v) ? x_cv[i] : x_ci[v];
- add_assign_r(sum, x_cv_k, x_k_i, ROUND_UP);
- min_assign(x_cv_i, sum);
- }
- }
-
- }
- }
-
- // Step 2: improve the other bounds by using the precise bounds
- // for the constraints on `var'.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
- const dimension_type i = i_iter.index();
- const dimension_type ci = coherent_index(i);
- const dimension_type rs_i = i_iter.row_size();
- Row_Reference x_i = *i_iter;
- const N& x_i_v = (v < rs_i) ? x_i[v] : x_cv[ci];
- // TODO: see if it is possible to optimize this inner loop
- // by splitting it into several parts, so as to avoid
- // conditional expressions.
- for (dimension_type j = 0; j < n_rows; ++j) {
- const dimension_type cj = coherent_index(j);
- Row_Reference x_cj = *(m_begin + cj);
- N& x_i_j = (j < rs_i) ? x_i[j] : x_cj[ci];
- if (!is_plus_infinity(x_i_v)) {
- const N& x_v_j = (j < rs_v) ? x_v[j] : x_cj[cv];
- if (!is_plus_infinity(x_v_j)) {
- add_assign_r(sum, x_i_v, x_v_j, ROUND_UP);
- min_assign(x_i_j, sum);
- }
- }
- const N& x_i_cv = (cv < rs_i) ? x_i[cv] : x_v[ci];
- if (!is_plus_infinity(x_i_cv)) {
- const N& x_cv_j = (j < rs_v) ? x_cv[j] : x_cj[v];
- if (!is_plus_infinity(x_cv_j)) {
- add_assign_r(sum, x_i_cv, x_cv_j, ROUND_UP);
- min_assign(x_i_j, sum);
- }
- }
- }
- }
-
- // Check for emptiness: the octagon is empty if and only if there is a
- // negative value on the main diagonal.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
- N& x_i_i = (*i)[i.index()];
- if (sgn(x_i_i) < 0) {
- x.set_empty();
- return;
- }
- else {
- // Restore PLUS_INFINITY on the main diagonal.
- PPL_ASSERT(sgn(x_i_i) == 0);
- assign_r(x_i_i, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
-
- // Step 3: we enforce the strong coherence.
- x.strong_coherence_assign();
- // The octagon is not empty and it is now strongly closed.
- x.set_strongly_closed();
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::compute_successors(std::vector<dimension_type>& successor) const {
- PPL_ASSERT(!marked_empty() && marked_strongly_closed());
- PPL_ASSERT(successor.size() == 0);
- // Variables are ordered according to their index.
- // The vector `successor' is used to indicate which variable
- // immediately follows a given one in the corresponding equivalence class.
- const dimension_type successor_size = matrix.num_rows();
- // Initially, each variable is successor of its own zero-equivalence class.
- successor.reserve(successor_size);
- for (dimension_type i = 0; i < successor_size; ++i)
- successor.push_back(i);
- // Now compute actual successors.
- for (dimension_type i = successor_size; i-- > 0; ) {
- typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
- typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
- typename OR_Matrix<N>::const_row_reference_type m_ci
- = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
- for (dimension_type j = 0; j < i; ++j) {
- // FIXME: what is the following, commented-out for?
- //for (dimension_type j = i; j-- > 0; ) {
- using namespace Implementation::Octagonal_Shapes;
- dimension_type cj = coherent_index(j);
- if (is_additive_inverse(m_ci[cj], m_i[j]))
- // Choose as successor the variable having the greatest index.
- successor[j] = i;
- }
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::compute_leaders(std::vector<dimension_type>& leaders) const {
- PPL_ASSERT(!marked_empty() && marked_strongly_closed());
- PPL_ASSERT(leaders.size() == 0);
- // Variables are ordered according to their index.
- // The vector `leaders' is used to indicate the smallest variable
- // that belongs to the corresponding equivalence class.
- const dimension_type leader_size = matrix.num_rows();
- // Initially, each variable is leader of its own zero-equivalence class.
- leaders.reserve(leader_size);
- for (dimension_type i = 0; i < leader_size; ++i)
- leaders.push_back(i);
- // Now compute actual leaders.
- for (typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin(),
- matrix_row_end = matrix.row_end();
- i_iter != matrix_row_end; ++i_iter) {
- typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
- dimension_type i = i_iter.index();
- typename OR_Matrix<N>::const_row_reference_type m_ci
- = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
- for (dimension_type j = 0; j < i; ++j) {
- using namespace Implementation::Octagonal_Shapes;
- dimension_type cj = coherent_index(j);
- if (is_additive_inverse(m_ci[cj], m_i[j]))
- // Choose as leader the variable having the smaller index.
- leaders[i] = leaders[j];
- }
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::compute_leaders(std::vector<dimension_type>& successor,
- std::vector<dimension_type>& no_sing_leaders,
- bool& exist_sing_class,
- dimension_type& sing_leader) const {
- PPL_ASSERT(!marked_empty() && marked_strongly_closed());
- PPL_ASSERT(no_sing_leaders.size() == 0);
- dimension_type successor_size = successor.size();
- std::deque<bool> dealt_with(successor_size, false);
- for (dimension_type i = 0; i < successor_size; ++i) {
- dimension_type next_i = successor[i];
- if (!dealt_with[i]) {
- // The index is a leader.
- // Now check if it is a leader of a singular class or not.
- using namespace Implementation::Octagonal_Shapes;
- if (next_i == coherent_index(i)) {
- exist_sing_class = true;
- sing_leader = i;
- }
- else
- no_sing_leaders.push_back(i);
- }
- // The following index is not a leader.
- dealt_with[next_i] = true;
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::strong_reduction_assign() const {
- // Zero-dimensional octagonal shapes are necessarily reduced.
- if (space_dim == 0)
- return;
- strong_closure_assign();
- // If `*this' is empty, then there is nothing to reduce.
- if (marked_empty())
- return;
-
- // Detect non-redundant constraints.
- std::vector<Bit_Row> non_red;
- non_redundant_matrix_entries(non_red);
-
- // Throw away redundant constraints.
- Octagonal_Shape<T>& x = const_cast<Octagonal_Shape<T>&>(*this);
-#ifndef NDEBUG
- const Octagonal_Shape x_copy_before(x);
-#endif
- typename OR_Matrix<N>::element_iterator x_i = x.matrix.element_begin();
- for (dimension_type i = 0; i < 2 * space_dim; ++i) {
- const Bit_Row& non_red_i = non_red[i];
- for (dimension_type j = 0,
- j_end = OR_Matrix<N>::row_size(i); j < j_end; ++j, ++x_i) {
- if (!non_red_i[j])
- assign_r(*x_i, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
- x.reset_strongly_closed();
-#ifndef NDEBUG
- const Octagonal_Shape x_copy_after(x);
- PPL_ASSERT(x_copy_before == x_copy_after);
- PPL_ASSERT(x.is_strongly_reduced());
- PPL_ASSERT(x.OK());
-#endif
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::non_redundant_matrix_entries(std::vector<Bit_Row>& non_redundant) const {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(space_dim > 0 && !marked_empty() && marked_strongly_closed());
- PPL_ASSERT(non_redundant.empty());
-
- // Initialize `non_redundant' as if it was an OR_Matrix of booleans
- // (initially set to false).
- non_redundant.resize(2*space_dim);
-
- // Step 1: compute zero-equivalence classes.
- // Variables corresponding to indices `i' and `j' are zero-equivalent
- // if they lie on a zero-weight loop; since the matrix is strongly
- // closed, this happens if and only if matrix[i][j] == -matrix[ci][cj].
- std::vector<dimension_type> no_sing_leaders;
- dimension_type sing_leader = 0;
- bool exist_sing_class = false;
- std::vector<dimension_type> successor;
- compute_successors(successor);
- compute_leaders(successor, no_sing_leaders, exist_sing_class, sing_leader);
- const dimension_type num_no_sing_leaders = no_sing_leaders.size();
-
-
- // Step 2: flag redundant constraints in `redundancy'.
- // Go through non-singular leaders first.
- for (dimension_type li = 0; li < num_no_sing_leaders; ++li) {
- const dimension_type i = no_sing_leaders[li];
- using namespace Implementation::Octagonal_Shapes;
- const dimension_type ci = coherent_index(i);
- typename OR_Matrix<N>::const_row_reference_type
- m_i = *(matrix.row_begin() + i);
- if (i % 2 == 0) {
- // Each positive equivalence class must have a single 0-cycle
- // connecting all equivalent variables in increasing order.
- // Note: by coherence assumption, the variables in the
- // corresponding negative equivalence class are
- // automatically connected.
- if (i != successor[i]) {
- dimension_type j = i;
- dimension_type next_j = successor[j];
- while (j != next_j) {
- non_redundant[next_j].set(j);
- j = next_j;
- next_j = successor[j];
- }
- const dimension_type cj = coherent_index(j);
- non_redundant[cj].set(ci);
- }
- }
-
- dimension_type rs_li = (li % 2 != 0) ? li : (li + 1);
- // Check if the constraint is redundant.
- PPL_DIRTY_TEMP(N, tmp);
- for (dimension_type lj = 0 ; lj <= rs_li; ++lj) {
- const dimension_type j = no_sing_leaders[lj];
- const dimension_type cj = coherent_index(j);
- const N& m_i_j = m_i[j];
- const N& m_i_ci = m_i[ci];
- bool to_add = true;
- // Control if the constraint is redundant by strong-coherence,
- // that is:
- // m_i_j >= (m_i_ci + m_cj_j)/2, where j != ci.
- if (j != ci) {
- add_assign_r(tmp, m_i_ci, matrix[cj][j], ROUND_UP);
- div_2exp_assign_r(tmp, tmp, 1, ROUND_UP);
- if (m_i_j >= tmp)
- // The constraint is redundant.
- continue;
- }
- // Control if the constraint is redundant by strong closure, that is
- // if there is a path from i to j (i = i_0, ... , i_n = j), such that
- // m_i_j = sum_{k=0}^{n-1} m_{i_k}_{i_(k + 1)}.
- // Since the octagon is already strongly closed, the above relation
- // is reduced to three case, in accordance with k, i, j inter-depend:
- // exit k such that
- // 1.) m_i_j >= m_i_k + m_cj_ck, if k < j < i; or
- // 2.) m_i_j >= m_i_k + m_k,_j, if j < k < i; or
- // 3.) m_i_j >= m_ck_ci + m_k_j, if j < i < k.
- // Note: `i > j'.
- for (dimension_type lk = 0; lk < num_no_sing_leaders; ++lk) {
- const dimension_type k = no_sing_leaders[lk];
- if (k != i && k != j) {
- dimension_type ck = coherent_index(k);
- if (k < j)
- // Case 1.
- add_assign_r(tmp, m_i[k], matrix[cj][ck], ROUND_UP);
- else if (k < i)
- // Case 2.
- add_assign_r(tmp, m_i[k], matrix[k][j], ROUND_UP);
- else
- // Case 3.
- add_assign_r(tmp, matrix[ck][ci], matrix[k][j], ROUND_UP);
-
- // Checks if the constraint is redundant.
- if (m_i_j >= tmp) {
- to_add = false;
- break;
- }
- }
- }
-
- if (to_add)
- // The constraint is not redundant.
- non_redundant[i].set(j);
- }
- }
-
- // If there exist a singular equivalence class, then it must have a
- // single 0-cycle connecting all the positive and negative equivalent
- // variables.
- // Note: the singular class is not connected with the other classes.
- if (exist_sing_class) {
- non_redundant[sing_leader].set(sing_leader + 1);
- if (successor[sing_leader + 1] != sing_leader + 1) {
- dimension_type j = sing_leader;
- dimension_type next_j = successor[j + 1];
- while (next_j != j + 1) {
- non_redundant[next_j].set(j);
- j = next_j;
- next_j = successor[j + 1];
- }
- non_redundant[j + 1].set(j);
- }
- else
- non_redundant[sing_leader + 1].set(sing_leader);
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::upper_bound_assign(const Octagonal_Shape& y) {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("upper_bound_assign(y)", y);
-
- // The hull of an octagon `x' with an empty octagon is `x'.
- y.strong_closure_assign();
- if (y.marked_empty())
- return;
- strong_closure_assign();
- if (marked_empty()) {
- *this = y;
- return;
- }
-
- // The oct-hull is obtained by computing maxima.
- typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
- for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
- matrix_element_end = matrix.element_end();
- i != matrix_element_end; ++i, ++j)
- max_assign(*i, *j);
-
- // The result is still closed.
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::difference_assign(const Octagonal_Shape& y) {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("difference_assign(y)", y);
-
- Octagonal_Shape& x = *this;
-
- // Being lazy here is only harmful.
- // We close.
- x.strong_closure_assign();
- // The difference of an empty octagon and of an octagon `p' is empty.
- if (x.marked_empty())
- return;
- // The difference of a octagon `p' and an empty octagon is `p'.
- if (y.marked_empty())
- return;
-
- // If both octagons are zero-dimensional,
- // then at this point they are necessarily universe octagons,
- // so that their difference is empty.
- if (x.space_dim == 0) {
- x.set_empty();
- return;
- }
-
- // TODO: This is just an executable specification.
- // Have to find a more efficient method.
- if (y.contains(x)) {
- x.set_empty();
- return;
- }
-
- Octagonal_Shape new_oct(space_dim, EMPTY);
- // We take a constraint of the octagon y at the time and we
- // consider its complementary. Then we intersect the union
- // of these complementary constraints with the octagon x.
- const Constraint_System& y_cs = y.constraints();
- for (Constraint_System::const_iterator i = y_cs.begin(),
- y_cs_end = y_cs.end(); i != y_cs_end; ++i) {
- const Constraint& c = *i;
- // If the octagon `x' is included the octagon defined by `c',
- // then `c' _must_ be skipped, as adding its complement to `x'
- // would result in the empty octagon, and as we would obtain
- // a result that is less precise than the difference.
- if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
- continue;
- Octagonal_Shape z = x;
- const Linear_Expression e = Linear_Expression(c);
- z.add_constraint(e <= 0);
- if (!z.is_empty())
- new_oct.upper_bound_assign(z);
- if (c.is_equality()) {
- z = x;
- z.add_constraint(e >= 0);
- if (!z.is_empty())
- new_oct.upper_bound_assign(z);
- }
- }
- *this = new_oct;
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::simplify_using_context_assign(const Octagonal_Shape& y) {
- Octagonal_Shape& x = *this;
- const dimension_type dim = x.space_dimension();
- // Dimension-compatibility check.
- if (dim != y.space_dimension())
- throw_dimension_incompatible("simplify_using_context_assign(y)", y);
-
- // Filter away the zero-dimensional case.
- if (dim == 0) {
- if (y.marked_empty()) {
- x.set_zero_dim_univ();
- return false;
- }
- else
- return !x.marked_empty();
- }
-
- // Filter away the case where `x' contains `y'
- // (this subsumes the case when `y' is empty).
- if (x.contains(y)) {
- Octagonal_Shape<T> res(dim, UNIVERSE);
- x.m_swap(res);
- return false;
- }
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iter;
- typedef typename OR_Matrix<N>::const_row_iterator Row_CIter;
- typedef typename OR_Matrix<N>::element_iterator Elem_Iter;
- typedef typename OR_Matrix<N>::const_element_iterator Elem_CIter;
-
- // Filter away the case where `x' is empty.
- x.strong_closure_assign();
- if (x.marked_empty()) {
- // Search for a constraint of `y' that is not a tautology.
- dimension_type i;
- dimension_type j;
- // Prefer unary constraints.
- for (i = 0; i < 2*dim; i += 2) {
- // FIXME: if N is a float or bounded integer type, then
- // we also need to check that we are actually able to construct
- // a constraint inconsistent with respect to this one.
- // Use something like !is_maximal()?
- if (!is_plus_infinity(y.matrix_at(i, i + 1))) {
- j = i + 1;
- goto found;
- }
- // Use something like !is_maximal()?
- if (!is_plus_infinity(y.matrix_at(i + 1, i))) {
- j = i;
- ++i;
- goto found;
- }
- }
- // Then search binary constraints.
- // TODO: use better iteration scheme.
- for (i = 2; i < 2*dim; ++i)
- for (j = 0; j < i; ++j) {
- // Use something like !is_maximal()?
- if (!is_plus_infinity(y.matrix_at(i, j)))
- goto found;
- }
-
- // Not found: we were not able to build a constraint contradicting
- // one of the constraints in `y': `x' cannot be enlarged.
- return false;
-
- found:
- // Found: build a new OS contradicting the constraint found.
- PPL_ASSERT(i < dim && j < dim && i != j);
- Octagonal_Shape<T> res(dim, UNIVERSE);
- // FIXME: compute a proper contradicting constraint.
- PPL_DIRTY_TEMP(N, tmp);
- assign_r(tmp, 1, ROUND_UP);
- add_assign_r(tmp, tmp, y.matrix_at(i, j), ROUND_UP);
- // CHECKME: round down is really meant.
- neg_assign_r(res.matrix_at(j, i), tmp, ROUND_DOWN);
- PPL_ASSERT(!is_plus_infinity(res.matrix_at(j, i)));
- x.m_swap(res);
- return false;
- }
-
- // Here `x' and `y' are not empty and strongly closed;
- // also, `x' does not contain `y'.
- // Let `target' be the intersection of `x' and `y'.
- Octagonal_Shape<T> target = x;
- target.intersection_assign(y);
- const bool bool_result = !target.is_empty();
-
- // Compute redundancy information for x and ...
- // TODO: provide a nicer data structure for redundancy.
- std::vector<Bit_Row> x_non_redundant;
- x.non_redundant_matrix_entries(x_non_redundant);
- // ... count the non-redundant constraints.
- dimension_type x_num_non_redundant = 0;
- for (size_t i = x_non_redundant.size(); i-- > 0 ; )
- x_num_non_redundant += x_non_redundant[i].count_ones();
- PPL_ASSERT(x_num_non_redundant > 0);
-
- // Let `yy' be a copy of `y': we will keep adding to `yy'
- // the non-redundant constraints of `x',
- // stopping as soon as `yy' becomes equal to `target'.
- Octagonal_Shape<T> yy = y;
-
- // The constraints added to `yy' will be recorded in `res' ...
- Octagonal_Shape<T> res(dim, UNIVERSE);
- // ... and we will count them too.
- dimension_type res_num_non_redundant = 0;
-
- // Compute leader information for `x'.
- std::vector<dimension_type> x_leaders;
- x.compute_leaders(x_leaders);
-
- // First go through the unary equality constraints.
- // Find the leader of the singular equivalence class (it is even!).
- dimension_type sing_leader;
- for (sing_leader = 0; sing_leader < 2*dim; sing_leader += 2) {
- if (sing_leader == x_leaders[sing_leader]) {
- const N& x_s_ss = x.matrix_at(sing_leader, sing_leader + 1);
- const N& x_ss_s = x.matrix_at(sing_leader + 1, sing_leader);
- if (is_additive_inverse(x_s_ss, x_ss_s))
- // Singular leader found.
- break;
- }
- }
-
- // Unary equalities have `sing_leader' as a leader.
- for (dimension_type i = sing_leader; i < 2*dim; i += 2) {
- if (x_leaders[i] != sing_leader)
- continue;
- // Found a unary equality constraint:
- // see if any of the two inequalities have to be added.
- const N& x_i_ii = x.matrix_at(i, i + 1);
- N& yy_i_ii = yy.matrix_at(i, i + 1);
- if (x_i_ii < yy_i_ii) {
- // The \leq inequality is not implied by context.
- res.matrix_at(i, i + 1) = x_i_ii;
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_i_ii = x_i_ii;
- yy.reset_strongly_closed();
- }
- const N& x_ii_i = x.matrix_at(i + 1, i);
- N& yy_ii_i = yy.matrix_at(i + 1, i);
- if (x_ii_i < yy_ii_i) {
- // The \geq inequality is not implied by context.
- res.matrix_at(i + 1, i) = x_ii_i;
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_ii_i = x_ii_i;
- yy.reset_strongly_closed();
- }
- // Restore strong closure, if it was lost.
- if (!yy.marked_strongly_closed()) {
- Variable var_i(i/2);
- yy.incremental_strong_closure_assign(var_i);
- if (target.contains(yy)) {
- // Target reached: swap `x' and `res' if needed.
- if (res_num_non_redundant < x_num_non_redundant) {
- res.reset_strongly_closed();
- x.m_swap(res);
- }
- return bool_result;
- }
- }
- }
-
- // Go through the binary equality constraints.
- for (dimension_type i = 0; i < 2*dim; ++i) {
- const dimension_type j = x_leaders[i];
- if (j == i || j == sing_leader)
- continue;
- const N& x_i_j = x.matrix_at(i, j);
- PPL_ASSERT(!is_plus_infinity(x_i_j));
- N& yy_i_j = yy.matrix_at(i, j);
- if (x_i_j < yy_i_j) {
- res.matrix_at(i, j) = x_i_j;
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_i_j = x_i_j;
- yy.reset_strongly_closed();
- }
- const N& x_j_i = x.matrix_at(j, i);
- N& yy_j_i = yy.matrix_at(j, i);
- PPL_ASSERT(!is_plus_infinity(x_j_i));
- if (x_j_i < yy_j_i) {
- res.matrix_at(j, i) = x_j_i;
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_j_i = x_j_i;
- yy.reset_strongly_closed();
- }
- // Restore strong closure, if it was lost.
- if (!yy.marked_strongly_closed()) {
- Variable var_j(j/2);
- yy.incremental_strong_closure_assign(var_j);
- if (target.contains(yy)) {
- // Target reached: swap `x' and `res' if needed.
- if (res_num_non_redundant < x_num_non_redundant) {
- res.reset_strongly_closed();
- x.m_swap(res);
- }
- return bool_result;
- }
- }
- }
-
- // Finally go through the (proper) inequality constraints:
- // both indices i and j should be leaders.
- // FIXME: improve iteration scheme (are we doing twice the work?)
- for (dimension_type i = 0; i < 2*dim; ++i) {
- if (i != x_leaders[i])
- continue;
- const Bit_Row& x_non_redundant_i = x_non_redundant[i];
- for (dimension_type j = 0; j < 2*dim; ++j) {
- if (j != x_leaders[j])
- continue;
- if (i >= j) {
- if (!x_non_redundant_i[j])
- continue;
- }
- else if (!x_non_redundant[j][i])
- continue;
- N& yy_i_j = yy.matrix_at(i, j);
- const N& x_i_j = x.matrix_at(i, j);
- if (x_i_j < yy_i_j) {
- res.matrix_at(i, j) = x_i_j;
- ++res_num_non_redundant;
- // Tighten context `yy' using the newly added constraint.
- yy_i_j = x_i_j;
- yy.reset_strongly_closed();
- Variable var(i/2);
- yy.incremental_strong_closure_assign(var);
- if (target.contains(yy)) {
- // Target reached: swap `x' and `res' if needed.
- if (res_num_non_redundant < x_num_non_redundant) {
- res.reset_strongly_closed();
- x.m_swap(res);
- }
- return bool_result;
- }
- }
- }
- }
- // This point should be unreachable.
- PPL_UNREACHABLE;
- return false;
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::add_space_dimensions_and_embed(dimension_type m) {
- // Adding no dimensions is a no-op.
- if (m == 0)
- return;
-
- const dimension_type new_dim = space_dim + m;
- const bool was_zero_dim_univ = !marked_empty() && space_dim == 0;
-
- // To embed an n-dimension space octagon in a (n + m)-dimension space,
- // we just add `m' variables in the matrix of constraints.
- matrix.grow(new_dim);
- space_dim = new_dim;
- // If `*this' was the zero-dim space universe octagon,
- // then we can set the strongly closure flag.
- if (was_zero_dim_univ)
- set_strongly_closed();
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::add_space_dimensions_and_project(dimension_type m) {
- // Adding no dimensions is a no-op.
- if (m == 0)
- return;
-
- const dimension_type n = matrix.num_rows();
-
- // To project an n-dimension space OS in a (space_dim + m)-dimension space,
- // we just add `m' columns and rows in the matrix of constraints.
- add_space_dimensions_and_embed(m);
- // We insert 0 where it needs.
- // Attention: now num_rows of matrix is update!
- for (typename OR_Matrix<N>::row_iterator i = matrix.row_begin() + n,
- matrix_row_end = matrix.row_end(); i != matrix_row_end; i += 2) {
- typename OR_Matrix<N>::row_reference_type x_i = *i;
- typename OR_Matrix<N>::row_reference_type x_ci = *(i + 1);
- const dimension_type ind = i.index();
- assign_r(x_i[ind + 1], 0, ROUND_NOT_NEEDED);
- assign_r(x_ci[ind], 0, ROUND_NOT_NEEDED);
- }
-
- if (marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::remove_space_dimensions(const Variables_Set& vars) {
- // The removal of no dimensions from any octagon is a no-op.
- // Note that this case also captures the only legal removal of
- // dimensions from a octagon in a 0-dim space.
- if (vars.empty()) {
- PPL_ASSERT(OK());
- return;
- }
-
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dim < min_space_dim)
- throw_dimension_incompatible("remove_space_dimensions(vs)", min_space_dim);
-
- const dimension_type new_space_dim = space_dim - vars.size();
-
- strong_closure_assign();
- // When removing _all_ dimensions from an octagon,
- // we obtain the zero-dimensional octagon.
- if (new_space_dim == 0) {
- matrix.shrink(0);
- if (!marked_empty())
- // We set the zero_dim_univ flag.
- set_zero_dim_univ();
- space_dim = 0;
- PPL_ASSERT(OK());
- return;
- }
-
- // We consider each variable and we check if it has to be removed.
- // If it has to be removed, we pass to the next one, then we will
- // overwrite its representation in the matrix.
- typedef typename OR_Matrix<N>::element_iterator Elem_Iter;
- typedef typename std::iterator_traits<Elem_Iter>::difference_type diff_t;
-
- dimension_type first = *vars.begin();
- const dimension_type first_size = 2 * first * (first + 1);
- Elem_Iter iter = matrix.element_begin() + static_cast<diff_t>(first_size);
-
- for (dimension_type i = first + 1; i < space_dim; ++i) {
- if (vars.count(i) == 0) {
- typename OR_Matrix<N>::row_iterator row_iter = matrix.row_begin() + 2*i;
- typename OR_Matrix<N>::row_reference_type row_ref = *row_iter;
- typename OR_Matrix<N>::row_reference_type row_ref1 = *(++row_iter);
- // Beware: first we shift the cells corresponding to the first
- // row of variable(j), then we shift the cells corresponding to the
- // second row. We recall that every variable is represented
- // in the `matrix' by two rows and two columns.
- for (dimension_type j = 0; j <= i; ++j)
- if (vars.count(j) == 0) {
- assign_or_swap(*(iter++), row_ref[2*j]);
- assign_or_swap(*(iter++), row_ref[2*j + 1]);
- }
- for (dimension_type j = 0; j <= i; ++j)
- if (vars.count(j) == 0) {
- assign_or_swap(*(iter++), row_ref1[2*j]);
- assign_or_swap(*(iter++), row_ref1[2*j + 1]);
- }
- }
- }
- // Update the space dimension.
- matrix.shrink(new_space_dim);
- space_dim = new_space_dim;
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Partial_Function>
-void
-Octagonal_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
- if (space_dim == 0)
- return;
-
- if (pfunc.has_empty_codomain()) {
- // All dimensions vanish: the octagon becomes zero_dimensional.
- remove_higher_space_dimensions(0);
- return;
- }
-
- const dimension_type new_space_dim = pfunc.max_in_codomain() + 1;
- // If we are going to actually reduce the space dimension,
- // then shortest-path closure is required to keep precision.
- if (new_space_dim < space_dim)
- strong_closure_assign();
-
- // If the octagon is empty, then it is sufficient to adjust
- // the space dimension of the octagon.
- if (marked_empty()) {
- remove_higher_space_dimensions(new_space_dim);
- return;
- }
-
- // We create a new matrix with the new space dimension.
- OR_Matrix<N> x(new_space_dim);
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
-
- Row_Iterator m_begin = x.row_begin();
-
- for (Row_Iterator i_iter = matrix.row_begin(), i_end = matrix.row_end();
- i_iter != i_end; i_iter += 2) {
- dimension_type new_i;
- dimension_type i = i_iter.index()/2;
- // We copy and place in the position into `x' the only cells of
- // the `matrix' that refer to both mapped variables,
- // the variable `i' and `j'.
- if (pfunc.maps(i, new_i)) {
- Row_Reference r_i = *i_iter;
- Row_Reference r_ii = *(i_iter + 1);
- dimension_type double_new_i = 2*new_i;
- Row_Iterator x_iter = m_begin + double_new_i;
- Row_Reference x_i = *x_iter;
- Row_Reference x_ii = *(x_iter + 1);
- for (dimension_type j = 0; j <= i; ++j) {
- dimension_type new_j;
- // If also the second variable is mapped, we work.
- if (pfunc.maps(j, new_j)) {
- dimension_type dj = 2*j;
- dimension_type double_new_j = 2*new_j;
- // Mapped the constraints, exchanging the indexes.
- // Attention: our matrix is pseudo-triangular.
- // If new_j > new_i, we must consider, as rows, the rows of
- // the variable new_j, and not of new_i ones.
- if (new_i >= new_j) {
- assign_or_swap(x_i[double_new_j], r_i[dj]);
- assign_or_swap(x_ii[double_new_j], r_ii[dj]);
- assign_or_swap(x_ii[double_new_j + 1], r_ii[dj + 1]);
- assign_or_swap(x_i[double_new_j + 1], r_i[dj + 1]);
- }
- else {
- Row_Iterator x_j_iter = m_begin + double_new_j;
- Row_Reference x_j = *x_j_iter;
- Row_Reference x_jj = *(x_j_iter + 1);
- assign_or_swap(x_jj[double_new_i + 1], r_i[dj]);
- assign_or_swap(x_jj[double_new_i], r_ii[dj]);
- assign_or_swap(x_j[double_new_i + 1], r_i[dj + 1]);
- assign_or_swap(x_j[double_new_i], r_ii[dj + 1]);
- }
-
- }
- }
- }
- }
-
- using std::swap;
- swap(matrix, x);
- space_dim = new_space_dim;
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::intersection_assign(const Octagonal_Shape& y) {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("intersection_assign(y)", y);
-
- // If one of the two octagons is empty, the intersection is empty.
- if (marked_empty())
- return;
- if (y.marked_empty()) {
- set_empty();
- return;
- }
- // If both octagons are zero-dimensional,then at this point
- // they are necessarily non-empty,
- // so that their intersection is non-empty too.
- if (space_dim == 0)
- return;
-
- // To intersect two octagons we compare the constraints
- // and we choose the less values.
- bool changed = false;
-
- typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
- for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
- matrix_element_end = matrix.element_end();
- i != matrix_element_end;
- ++i, ++j) {
- N& elem = *i;
- const N& y_elem = *j;
- if (y_elem < elem) {
- elem = y_elem;
- changed = true;
- }
- }
-
- // This method not preserve the closure.
- if (changed && marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Iterator>
-void
-Octagonal_Shape<T>::CC76_extrapolation_assign(const Octagonal_Shape& y,
- Iterator first, Iterator last,
- unsigned* tp) {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("CC76_extrapolation_assign(y)", y);
-
- // Assume `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If both octagons are zero-dimensional,
- // since `*this' contains `y', we simply return `*this'.
- if (space_dim == 0)
- return;
-
- strong_closure_assign();
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- y.strong_closure_assign();
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- // If there are tokens available, work on a temporary copy.
- if (tp != 0 && *tp > 0) {
- Octagonal_Shape x_tmp(*this);
- x_tmp.CC76_extrapolation_assign(y, first, last, 0);
- // If the widening was not precise, use one of the available tokens.
- if (!contains(x_tmp))
- --(*tp);
- return;
- }
-
- // Compare each constraint in `y' to the corresponding one in `*this'.
- // The constraint in `*this' is kept as is if it is stronger than or
- // equal to the constraint in `y'; otherwise, the inhomogeneous term
- // of the constraint in `*this' is further compared with elements taken
- // from a sorted container (the stop-points, provided by the user), and
- // is replaced by the first entry, if any, which is greater than or equal
- // to the inhomogeneous term. If no such entry exists, the constraint
- // is removed altogether.
- typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
- for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
- matrix_element_end = matrix.element_end();
- i != matrix_element_end;
- ++i, ++j) {
- const N& y_elem = *j;
- N& elem = *i;
- if (y_elem < elem) {
- Iterator k = std::lower_bound(first, last, elem);
- if (k != last) {
- if (elem < *k)
- assign_r(elem, *k, ROUND_UP);
- }
- else
- assign_r(elem, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- }
-
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::get_limiting_octagon(const Constraint_System& cs,
- Octagonal_Shape& limiting_octagon) const {
- const dimension_type cs_space_dim = cs.space_dimension();
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(cs_space_dim <= space_dim);
-
- strong_closure_assign();
- bool is_oct_changed = false;
-
- // Allocate temporaries outside of the loop.
- PPL_DIRTY_TEMP_COEFFICIENT(coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(term);
- PPL_DIRTY_TEMP(N, d);
-
- for (Constraint_System::const_iterator cs_i = cs.begin(),
- cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
- const Constraint& c = *cs_i;
- dimension_type num_vars = 0;
- dimension_type i = 0;
- dimension_type j = 0;
- // Constraints that are not octagonal differences are ignored.
- if (!Octagonal_Shape_Helper
- ::extract_octagonal_difference(c, cs_space_dim, num_vars, i, j,
- coeff, term))
- continue;
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- Row_iterator m_begin = matrix.row_begin();
- // Select the cell to be modified for the "<=" part of the constraint.
- Row_iterator i_iter = m_begin + i;
- Row_reference m_i = *i_iter;
- OR_Matrix<N>& lo_mat = limiting_octagon.matrix;
- Row_Iterator lo_iter = lo_mat.row_begin() + i;
- Row_Reference lo_m_i = *lo_iter;
- N& lo_m_i_j = lo_m_i[j];
- if (coeff < 0)
- neg_assign(coeff);
- // Compute the bound for `m_i_j', rounding towards plus infinity.
- div_round_up(d, term, coeff);
- if (m_i[j] <= d)
- if (c.is_inequality()) {
- if (lo_m_i_j > d) {
- lo_m_i_j = d;
- is_oct_changed = true;
- }
- else {
- // Select the right row of the cell.
- if (i % 2 == 0) {
- ++i_iter;
- ++lo_iter;
- }
- else {
- --i_iter;
- --lo_iter;
- }
- Row_reference m_ci = *i_iter;
- Row_Reference lo_m_ci = *lo_iter;
- // Select the right column of the cell.
- using namespace Implementation::Octagonal_Shapes;
- dimension_type cj = coherent_index(j);
- N& lo_m_ci_cj = lo_m_ci[cj];
- neg_assign(term);
- div_round_up(d, term, coeff);
- if (m_ci[cj] <= d && lo_m_ci_cj > d) {
- lo_m_ci_cj = d;
- is_oct_changed = true;
- }
- }
- }
- }
- // In general, adding a constraint does not preserve the strongly
- // closure of the octagon.
- if (is_oct_changed && limiting_octagon.marked_strongly_closed())
- limiting_octagon.reset_strongly_closed();
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::limited_CC76_extrapolation_assign(const Octagonal_Shape& y,
- const Constraint_System& cs,
- unsigned* tp) {
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("limited_CC76_extrapolation_assign(y, cs)",
- y);
- // `cs' must be dimension-compatible with the two octagons.
- const dimension_type cs_space_dim = cs.space_dimension();
- if (space_dim < cs_space_dim)
- throw_constraint_incompatible("limited_CC76_extrapolation_assign(y, cs)");
-
- // Strict inequalities not allowed.
- if (cs.has_strict_inequalities())
- throw_constraint_incompatible("limited_CC76_extrapolation_assign(y, cs)");
-
- // The limited CC76-extrapolation between two octagons in a
- // zero-dimensional space is a octagon in a zero-dimensional
- // space, too.
- if (space_dim == 0)
- return;
-
- // Assume `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- Octagonal_Shape limiting_octagon(space_dim, UNIVERSE);
- get_limiting_octagon(cs, limiting_octagon);
- CC76_extrapolation_assign(y, tp);
- intersection_assign(limiting_octagon);
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::BHMZ05_widening_assign(const Octagonal_Shape& y,
- unsigned* tp) {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("BHMZ05_widening_assign(y)", y);
-
- // Assume `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // Compute the affine dimension of `y'.
- const dimension_type y_affine_dim = y.affine_dimension();
- // If the affine dimension of `y' is zero, then either `y' is
- // zero-dimensional, or it is empty, or it is a singleton.
- // In all cases, due to the inclusion hypothesis, the result is `*this'.
- if (y_affine_dim == 0)
- return;
-
- // If the affine dimension has changed, due to the inclusion hypothesis,
- // the result is `*this'.
- const dimension_type x_affine_dim = affine_dimension();
- PPL_ASSERT(x_affine_dim >= y_affine_dim);
- if (x_affine_dim != y_affine_dim)
- return;
-
- // If there are tokens available, work on a temporary copy.
- if (tp != 0 && *tp > 0) {
- Octagonal_Shape x_tmp(*this);
- x_tmp.BHMZ05_widening_assign(y, 0);
- // If the widening was not precise, use one of the available tokens.
- if (!contains(x_tmp))
- --(*tp);
- return;
- }
-
- // Here no token is available.
- PPL_ASSERT(marked_strongly_closed() && y.marked_strongly_closed());
- // Minimize `y'.
- y.strong_reduction_assign();
-
- // Extrapolate unstable bounds.
- typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
- for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
- matrix_element_end = matrix.element_end();
- i != matrix_element_end;
- ++i, ++j) {
- N& elem = *i;
- // Note: in the following line the use of `!=' (as opposed to
- // the use of `<' that would seem -but is not- equivalent) is
- // intentional.
- if (*j != elem)
- assign_r(elem, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::limited_BHMZ05_extrapolation_assign(const Octagonal_Shape& y,
- const Constraint_System& cs,
- unsigned* tp) {
-
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("limited_BHMZ05_extrapolation_assign(y, cs)",
- y);
- // `cs' must be dimension-compatible with the two octagons.
- const dimension_type cs_space_dim = cs.space_dimension();
- if (space_dim < cs_space_dim)
- throw_constraint_incompatible("limited_CH78_extrapolation_assign(y, cs)");
-
- // Strict inequalities not allowed.
- if (cs.has_strict_inequalities())
- throw_constraint_incompatible("limited_CH78_extrapolation_assign(y, cs)");
-
- // The limited BHMZ05-extrapolation between two octagons in a
- // zero-dimensional space is a octagon in a zero-dimensional
- // space, too.
- if (space_dim == 0)
- return;
-
- // Assume `y' is contained in or equal to `*this'.
- PPL_EXPECT_HEAVY(copy_contains(*this, y));
-
- // If `*this' is empty, since `*this' contains `y', `y' is empty too.
- if (marked_empty())
- return;
- // If `y' is empty, we return.
- if (y.marked_empty())
- return;
-
- Octagonal_Shape limiting_octagon(space_dim, UNIVERSE);
- get_limiting_octagon(cs, limiting_octagon);
- BHMZ05_widening_assign(y, tp);
- intersection_assign(limiting_octagon);
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::CC76_narrowing_assign(const Octagonal_Shape& y) {
- // Dimension-compatibility check.
- if (space_dim != y.space_dim)
- throw_dimension_incompatible("CC76_narrowing_assign(y)", y);
-
- // Assume `*this' is contained in or equal to `y'.
- PPL_EXPECT_HEAVY(copy_contains(y, *this));
-
- // If both octagons are zero-dimensional, since `*this' contains `y',
- // we simply return '*this'.
- if (space_dim == 0)
- return;
-
- y.strong_closure_assign();
- // If `y' is empty, since `y' contains `*this', `*this' is empty too.
- if (y.marked_empty())
- return;
- strong_closure_assign();
- // If `*this' is empty, we return.
- if (marked_empty())
- return;
-
- // We consider a constraint of `*this', if its value is `plus_infinity',
- // we take the value of the corresponding constraint of `y'.
- bool is_oct_changed = false;
- typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
- for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
- matrix_element_end = matrix.element_end();
- i != matrix_element_end;
- ++i, ++j) {
- if (!is_plus_infinity(*i)
- && !is_plus_infinity(*j)
- && *i != *j) {
- *i = *j;
- is_oct_changed = true;
- }
- }
-
- if (is_oct_changed && marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::deduce_v_pm_u_bounds(const dimension_type v_id,
- const dimension_type last_id,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& ub_v) {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(sc_denom > 0);
- PPL_ASSERT(!is_plus_infinity(ub_v));
-
- PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
- assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
-
- // No need to consider indices greater than `last_id'.
- const dimension_type n_v = 2*v_id;
- typename OR_Matrix<N>::row_reference_type m_cv = matrix[n_v + 1];
-
- // Speculatively allocate temporaries out of the loop.
- PPL_DIRTY_TEMP(N, half);
- PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
- PPL_DIRTY_TEMP(mpq_class, q);
- PPL_DIRTY_TEMP(mpq_class, minus_q);
- PPL_DIRTY_TEMP(mpq_class, ub_u);
- PPL_DIRTY_TEMP(mpq_class, lb_u);
- PPL_DIRTY_TEMP(N, up_approx);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_expr_u);
-
- for (Linear_Expression::const_iterator u = sc_expr.begin(),
- u_end = sc_expr.lower_bound(Variable(last_id + 1)); u != u_end; ++u) {
- const dimension_type u_id = u.variable().id();
- // Skip the case when `u_id == v_id'.
- if (u_id == v_id)
- continue;
- const Coefficient& expr_u = *u;
-
- const dimension_type n_u = u_id*2;
- // If `expr_u' is positive, we can improve `v - u'.
- if (expr_u > 0) {
- if (expr_u >= sc_denom) {
- // Here q >= 1: deducing `v - u <= ub_v - ub_u'.
- // We avoid to check if `ub_u' is plus infinity, because
- // it is used for the computation of `ub_v'.
- // Let half = m_cu_u / 2.
- div_2exp_assign_r(half, matrix[n_u + 1][n_u], 1, ROUND_UP);
- N& m_v_minus_u = (n_v < n_u) ? matrix[n_u][n_v] : m_cv[n_u + 1];
- sub_assign_r(m_v_minus_u, ub_v, half, ROUND_UP);
- }
- else {
- // Here 0 < q < 1.
- typename OR_Matrix<N>::row_reference_type m_u = matrix[n_u];
- const N& m_u_cu = m_u[n_u + 1];
- if (!is_plus_infinity(m_u_cu)) {
- // Let `ub_u' and `lb_u' be the known upper and lower bound
- // for `u', respectively. The upper bound for `v - u' is
- // computed as `ub_v - (q * ub_u + (1-q) * lb_u)',
- // i.e., `ub_v + (-lb_u) - q * (ub_u + (-lb_u))'.
- assign_r(minus_lb_u, m_u_cu, ROUND_NOT_NEEDED);
- div_2exp_assign_r(minus_lb_u, minus_lb_u, 1, ROUND_NOT_NEEDED);
- assign_r(q, expr_u, ROUND_NOT_NEEDED);
- div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
- assign_r(ub_u, matrix[n_u + 1][n_u], ROUND_NOT_NEEDED);
- div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
- // Compute `ub_u - lb_u'.
- add_assign_r(ub_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
- // Compute `(-lb_u) - q * (ub_u - lb_u)'.
- sub_mul_assign_r(minus_lb_u, q, ub_u, ROUND_NOT_NEEDED);
- assign_r(up_approx, minus_lb_u, ROUND_UP);
- // Deducing `v - u <= ub_v - (q * ub_u + (1-q) * lb_u)'.
- N& m_v_minus_u = (n_v < n_u) ? m_u[n_v] : m_cv[n_u + 1];
- add_assign_r(m_v_minus_u, ub_v, up_approx, ROUND_UP);
- }
- }
- }
- else {
- PPL_ASSERT(expr_u < 0);
- // If `expr_u' is negative, we can improve `v + u'.
- neg_assign(minus_expr_u, expr_u);
- if (minus_expr_u >= sc_denom) {
- // Here q <= -1: Deducing `v + u <= ub_v + lb_u'.
- // We avoid to check if `lb_u' is plus infinity, because
- // it is used for the computation of `ub_v'.
- // Let half = m_u_cu / 2.
- div_2exp_assign_r(half, matrix[n_u][n_u + 1], 1, ROUND_UP);
- N& m_v_plus_u = (n_v < n_u) ? matrix[n_u + 1][n_v] : m_cv[n_u];
- sub_assign_r(m_v_plus_u, ub_v, half, ROUND_UP);
- }
- else {
- // Here -1 < q < 0.
- typename OR_Matrix<N>::row_reference_type m_cu = matrix[n_u + 1];
- const N& m_cu_u = m_cu[n_u];
- if (!is_plus_infinity(m_cu_u)) {
- // Let `ub_u' and `lb_u' be the known upper and lower bound
- // for `u', respectively. The upper bound for `v + u' is
- // computed as `ub_v + ((-q) * lb_u + (1 + q) * ub_u)',
- // i.e., `ub_v + ub_u + (-q) * (lb_u - ub_u)'.
- assign_r(ub_u, m_cu[n_u], ROUND_NOT_NEEDED);
- div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
- assign_r(minus_q, minus_expr_u, ROUND_NOT_NEEDED);
- div_assign_r(minus_q, minus_q, mpq_sc_denom, ROUND_NOT_NEEDED);
- assign_r(lb_u, matrix[n_u][n_u + 1], ROUND_NOT_NEEDED);
- div_2exp_assign_r(lb_u, lb_u, 1, ROUND_NOT_NEEDED);
- neg_assign_r(lb_u, lb_u, ROUND_NOT_NEEDED);
- // Compute `lb_u - ub_u'.
- sub_assign_r(lb_u, lb_u, ub_u, ROUND_NOT_NEEDED);
- // Compute `ub_u + (-q) * (lb_u - ub_u)'.
- add_mul_assign_r(ub_u, minus_q, lb_u, ROUND_NOT_NEEDED);
- assign_r(up_approx, ub_u, ROUND_UP);
- // Deducing `v + u <= ub_v + ((-q) * lb_u + (1 + q) * ub_u)'.
- N& m_v_plus_u = (n_v < n_u) ? m_cu[n_v] : m_cv[n_u];
- add_assign_r(m_v_plus_u, ub_v, up_approx, ROUND_UP);
- }
- }
- }
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::deduce_minus_v_pm_u_bounds(const dimension_type v_id,
- const dimension_type last_id,
- const Linear_Expression& sc_expr,
- Coefficient_traits::const_reference sc_denom,
- const N& minus_lb_v) {
- // Private method: the caller has to ensure the following.
- PPL_ASSERT(sc_denom > 0);
- PPL_ASSERT(!is_plus_infinity(minus_lb_v));
-
- PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
- assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
-
- // No need to consider indices greater than `last_id'.
- const dimension_type n_v = 2*v_id;
- typename OR_Matrix<N>::row_reference_type m_v = matrix[n_v];
-
- // Speculatively allocate temporaries out of the loop.
- PPL_DIRTY_TEMP(N, half);
- PPL_DIRTY_TEMP(mpq_class, ub_u);
- PPL_DIRTY_TEMP(mpq_class, q);
- PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
- PPL_DIRTY_TEMP(N, up_approx);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_expr_u);
-
- for (Linear_Expression::const_iterator u = sc_expr.begin(),
- u_end = sc_expr.lower_bound(Variable(last_id + 1)); u != u_end; ++u) {
- const dimension_type u_id = u.variable().id();
- // Skip the case when `u_id == v_id'.
- if (u_id == v_id)
- continue;
- const Coefficient& expr_u = *u;
-
- const dimension_type n_u = u_id*2;
- // If `expr_u' is positive, we can improve `-v + u'.
- if (expr_u > 0) {
- if (expr_u >= sc_denom) {
- // Here q >= 1: deducing `-v + u <= lb_u - lb_v',
- // i.e., `u - v <= (-lb_v) - (-lb_u)'.
- // We avoid to check if `lb_u' is plus infinity, because
- // it is used for the computation of `lb_v'.
- // Let half = m_u_cu / 2.
- div_2exp_assign_r(half, matrix[n_u][n_u + 1], 1, ROUND_UP);
- N& m_u_minus_v = (n_v < n_u) ? matrix[n_u + 1][n_v + 1] : m_v[n_u];
- sub_assign_r(m_u_minus_v, minus_lb_v, half, ROUND_UP);
- }
- else {
- // Here 0 < q < 1.
- typename OR_Matrix<N>::row_reference_type m_cu = matrix[n_u + 1];
- const N& m_cu_u = m_cu[n_u];
- if (!is_plus_infinity(m_cu_u)) {
- // Let `ub_u' and `lb_u' be the known upper and lower bound
- // for `u', respectively. The upper bound for `u - v' is
- // computed as `(q * lb_u + (1-q) * ub_u) - lb_v',
- // i.e., `ub_u - q * (ub_u + (-lb_u)) + minus_lb_v'.
- assign_r(ub_u, m_cu[n_u], ROUND_NOT_NEEDED);
- div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
- assign_r(q, expr_u, ROUND_NOT_NEEDED);
- div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
- assign_r(minus_lb_u, matrix[n_u][n_u + 1], ROUND_NOT_NEEDED);
- div_2exp_assign_r(minus_lb_u, minus_lb_u, 1, ROUND_NOT_NEEDED);
- // Compute `ub_u - lb_u'.
- add_assign_r(minus_lb_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
- // Compute `ub_u - q * (ub_u - lb_u)'.
- sub_mul_assign_r(ub_u, q, minus_lb_u, ROUND_NOT_NEEDED);
- assign_r(up_approx, ub_u, ROUND_UP);
- // Deducing `u - v <= -lb_v - (q * lb_u + (1-q) * ub_u)'.
- N& m_u_minus_v = (n_v < n_u) ? m_cu[n_v + 1] : m_v[n_u];
- add_assign_r(m_u_minus_v, minus_lb_v, up_approx, ROUND_UP);
- }
- }
- }
- else {
- PPL_ASSERT(expr_u < 0);
- // If `expr_u' is negative, we can improve `-v - u'.
- neg_assign(minus_expr_u, expr_u);
- if (minus_expr_u >= sc_denom) {
- // Here q <= -1: Deducing `-v - u <= -lb_v - ub_u'.
- // We avoid to check if `ub_u' is plus infinity, because
- // it is used for the computation of `lb_v'.
- // Let half = m_cu_u / 2.
- div_2exp_assign_r(half, matrix[n_u + 1][n_u], 1, ROUND_UP);
- N& m_minus_v_minus_u = (n_v < n_u)
- ? matrix[n_u][n_v + 1]
- : m_v[n_u + 1];
- sub_assign_r(m_minus_v_minus_u, minus_lb_v, half, ROUND_UP);
- }
- else {
- // Here -1 < q < 0.
- typename OR_Matrix<N>::row_reference_type m_u = matrix[n_u];
- const N& m_u_cu = m_u[n_u + 1];
- if (!is_plus_infinity(m_u_cu)) {
- // Let `ub_u' and `lb_u' be the known upper and lower bound
- // for `u', respectively. The upper bound for `-v - u' is
- // computed as `-lb_v - ((-q)*ub_u + (1 + q)*lb_u)',
- // i.e., `minus_lb_v - lb_u + q*(ub_u - lb_u)'.
- assign_r(ub_u, matrix[n_u + 1][n_u], ROUND_NOT_NEEDED);
- div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
- assign_r(q, expr_u, ROUND_NOT_NEEDED);
- div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
- assign_r(minus_lb_u, m_u[n_u + 1], ROUND_NOT_NEEDED);
- div_2exp_assign_r(minus_lb_u, minus_lb_u, 1, ROUND_NOT_NEEDED);
- // Compute `ub_u - lb_u'.
- add_assign_r(ub_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
- // Compute `-lb_u + q*(ub_u - lb_u)'.
- add_mul_assign_r(minus_lb_u, q, ub_u, ROUND_NOT_NEEDED);
- assign_r(up_approx, minus_lb_u, ROUND_UP);
- // Deducing `-v - u <= -lb_v - ((-q) * ub_u + (1 + q) * lb_u)'.
- N& m_minus_v_minus_u = (n_v < n_u) ? m_u[n_v + 1] : m_v[n_u + 1];
- add_assign_r(m_minus_v_minus_u, minus_lb_v, up_approx, ROUND_UP);
- }
- }
- }
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::forget_all_octagonal_constraints(const dimension_type v_id) {
- PPL_ASSERT(v_id < space_dim);
- const dimension_type n_v = 2*v_id;
- typename OR_Matrix<N>::row_iterator m_iter = matrix.row_begin() + n_v;
- typename OR_Matrix<N>::row_reference_type r_v = *m_iter;
- typename OR_Matrix<N>::row_reference_type r_cv = *(++m_iter);
- for (dimension_type h = m_iter.row_size(); h-- > 0; ) {
- assign_r(r_v[h], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(r_cv[h], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- ++m_iter;
- for (typename OR_Matrix<N>::row_iterator m_end = matrix.row_end();
- m_iter != m_end; ++m_iter) {
- typename OR_Matrix<N>::row_reference_type r = *m_iter;
- assign_r(r[n_v], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(r[n_v + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::forget_binary_octagonal_constraints(const dimension_type v_id) {
- PPL_ASSERT(v_id < space_dim);
- const dimension_type n_v = 2*v_id;
- typename OR_Matrix<N>::row_iterator m_iter = matrix.row_begin() + n_v;
- typename OR_Matrix<N>::row_reference_type r_v = *m_iter;
- typename OR_Matrix<N>::row_reference_type r_cv = *(++m_iter);
- for (dimension_type k = n_v; k-- > 0; ) {
- assign_r(r_v[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(r_cv[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- ++m_iter;
- for (typename OR_Matrix<N>::row_iterator m_end = matrix.row_end();
- m_iter != m_end; ++m_iter) {
- typename OR_Matrix<N>::row_reference_type r = *m_iter;
- assign_r(r[n_v], PLUS_INFINITY, ROUND_NOT_NEEDED);
- assign_r(r[n_v + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::unconstrain(const Variable var) {
- // Dimension-compatibility check.
- const dimension_type var_id = var.id();
- if (space_dimension() < var_id + 1)
- throw_dimension_incompatible("unconstrain(var)", var_id + 1);
-
- // Enforce strong closure for precision.
- strong_closure_assign();
-
- // If the shape is empty, this is a no-op.
- if (marked_empty())
- return;
-
- forget_all_octagonal_constraints(var_id);
- // Strong closure is preserved.
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::unconstrain(const Variables_Set& vars) {
- // The cylindrification with respect to no dimensions is a no-op.
- // This case captures the only legal cylindrification in a 0-dim space.
- if (vars.empty())
- return;
-
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dimension() < min_space_dim)
- throw_dimension_incompatible("unconstrain(vs)", min_space_dim);
-
- // Enforce strong closure for precision.
- strong_closure_assign();
-
- // If the shape is empty, this is a no-op.
- if (marked_empty())
- return;
-
- for (Variables_Set::const_iterator vsi = vars.begin(),
- vsi_end = vars.end(); vsi != vsi_end; ++vsi)
- forget_all_octagonal_constraints(*vsi);
- // Strong closure is preserved.
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::refine(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- PPL_ASSERT(denominator != 0);
- PPL_ASSERT(space_dim >= expr.space_dimension());
- const dimension_type var_id = var.id();
- PPL_ASSERT(var_id <= space_dim);
- PPL_ASSERT(expr.coefficient(var) == 0);
- PPL_ASSERT(relsym != LESS_THAN && relsym != GREATER_THAN);
-
- const Coefficient& b = expr.inhomogeneous_term();
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
-
- // Variable index of the last non-zero coefficient in `expr', if any.
- dimension_type w_id = expr.last_nonzero();
-
- if (w_id != 0) {
- ++t;
- if (!expr.all_zeroes(1, w_id))
- ++t;
- --w_id;
- }
-
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*j + b, where `j != v';
- // - If t == 2, then `expr' is of the general form.
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const dimension_type n_var = 2*var_id;
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign(minus_denom, denominator);
-
- // Since we are only able to record octagonal differences, we can
- // precisely deal with the case of a single variable only if its
- // coefficient (taking into account the denominator) is 1.
- // If this is not the case, we fall back to the general case
- // so as to over-approximate the constraint.
- if (t == 1 && expr.coefficient(Variable(w_id)) != denominator
- && expr.coefficient(Variable(w_id)) != minus_denom)
- t = 2;
-
- if (t == 0) {
- // Case 1: expr == b.
- PPL_DIRTY_TEMP_COEFFICIENT(two_b);
- two_b = 2*b;
- switch (relsym) {
- case EQUAL:
- // Add the constraint `var == b/denominator'.
- add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
- add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
- break;
- case LESS_OR_EQUAL:
- // Add the constraint `var <= b/denominator'.
- add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
- break;
- case GREATER_OR_EQUAL:
- // Add the constraint `var >= b/denominator',
- // i.e., `-var <= -b/denominator',
- add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
- else if (t == 1) {
- // Value of the one and only non-zero coefficient in `expr'.
- const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
- const dimension_type n_w = 2*w_id;
- switch (relsym) {
- case EQUAL:
- if (w_coeff == denominator)
- // Add the new constraint `var - w = b/denominator'.
- if (var_id < w_id) {
- add_octagonal_constraint(n_w, n_var, b, denominator);
- add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
- }
- else {
- add_octagonal_constraint(n_var + 1, n_w + 1, b, denominator);
- add_octagonal_constraint(n_var, n_w, b, minus_denom);
- }
- else
- // Add the new constraint `var + w = b/denominator'.
- if (var_id < w_id) {
- add_octagonal_constraint(n_w + 1, n_var, b, denominator);
- add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
- }
- else {
- add_octagonal_constraint(n_var + 1, n_w, b, denominator);
- add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
- }
- break;
- case LESS_OR_EQUAL:
- {
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- // Note that: `w_id != v', so that `expr' is of the form
- // w_coeff * w + b, with `w_id != v'.
- if (w_coeff == denominator) {
- // Add the new constraints `v - w <= b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w, n_var, d);
- else
- add_octagonal_constraint(n_var + 1, n_w + 1, d);
- }
- else if (w_coeff == minus_denom) {
- // Add the new constraints `v + w <= b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w + 1, n_var, d);
- else
- add_octagonal_constraint(n_var + 1, n_w, d);
- }
- break;
- }
-
- case GREATER_OR_EQUAL:
- {
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, minus_denom);
- // Note that: `w_id != v', so that `expr' is of the form
- // w_coeff * w + b, with `w_id != v'.
- if (w_coeff == denominator) {
- // Add the new constraint `v - w >= b/denominator',
- // i.e., `-v + w <= -b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w + 1, n_var + 1, d);
- else
- add_octagonal_constraint(n_var, n_w, d);
- }
- else if (w_coeff == minus_denom) {
- // Add the new constraints `v + w >= b/denominator',
- // i.e., `-v - w <= -b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w, n_var + 1, d);
- else
- add_octagonal_constraint(n_var, n_w + 1, d);
- }
- break;
- }
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
- else {
- // Here t == 2, so that
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2.
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -expr;
- const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, sum);
- // Index of variable that is unbounded in `this'.
- PPL_UNINITIALIZED(dimension_type, pinf_index);
- // Number of unbounded variables found.
- dimension_type pinf_count = 0;
-
- switch (relsym) {
- case EQUAL:
- {
- PPL_DIRTY_TEMP(N, neg_sum);
- // Index of variable that is unbounded in `this'.
- PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
- // Number of unbounded variables found.
- dimension_type neg_pinf_count = 0;
-
- // Approximate the inhomogeneous term.
- assign_r(sum, sc_b, ROUND_UP);
- assign_r(neg_sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP(N, half);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- PPL_DIRTY_TEMP(N, minus_coeff_i);
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- for (Row_iterator m_iter = m_begin,
- m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_reference m_i = *m_iter;
- ++m_iter;
- Row_reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i > 0) {
- assign_r(coeff_i, sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pinf_count <= 1) {
- const N& double_approx_i = m_ci[n_i];
- if (!is_plus_infinity(double_approx_i)) {
- // Let half = double_approx_i / 2.
- div_2exp_assign_r(half, double_approx_i, 1, ROUND_UP);
- add_mul_assign_r(sum, coeff_i, half, ROUND_UP);
- }
- else {
- ++pinf_count;
- pinf_index = id;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& double_approx_minus_i = m_i[n_i + 1];
- if (!is_plus_infinity(double_approx_minus_i)) {
- // Let half = double_approx_minus_i / 2.
- div_2exp_assign_r(half, double_approx_minus_i, 1, ROUND_UP);
- add_mul_assign_r(neg_sum, coeff_i, half, ROUND_UP);
- }
- else {
- ++neg_pinf_count;
- neg_pinf_index = id;
- }
- }
- }
- else if (sign_i < 0) {
- neg_assign_r(minus_sc_i, sc_i, ROUND_NOT_NEEDED);
- assign_r(minus_coeff_i, minus_sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pinf_count <= 1) {
- const N& double_approx_minus_i = m_i[n_i + 1];
- if (!is_plus_infinity(double_approx_minus_i)) {
- // Let half = double_approx_minus_i / 2.
- div_2exp_assign_r(half, double_approx_minus_i, 1, ROUND_UP);
- add_mul_assign_r(sum, minus_coeff_i, half, ROUND_UP);
- }
- else {
- ++pinf_count;
- pinf_index = id;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& double_approx_i = m_ci[n_i];
- if (!is_plus_infinity(double_approx_i)) {
- // Let half = double_approx_i / 2.
- div_2exp_assign_r(half, double_approx_i, 1, ROUND_UP);
- add_mul_assign_r(neg_sum, minus_coeff_i, half, ROUND_UP);
- }
- else {
- ++neg_pinf_count;
- neg_pinf_index = id;
- }
- }
- }
- }
- // Return immediately if no approximation could be computed.
- if (pinf_count > 1 && neg_pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // In the following, strong closure will be definitely lost.
- reset_strongly_closed();
-
- // Exploit the upper approximation, if possible.
- if (pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is
- // achieved as usual by rounding upwards `minus_sc_denom'
- // and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
- // Add the upper bound constraint, if meaningful.
- if (pinf_count == 0) {
- // Add the constraint `v <= sum'.
- PPL_DIRTY_TEMP(N, double_sum);
- mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
- matrix[n_var + 1][n_var] = double_sum;
- // Deduce constraints of the form `v +/- u', where `u != v'.
- deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, sum);
- }
- else
- // Here `pinf_count == 1'.
- if (pinf_index != var_id) {
- const Coefficient& ppi
- = sc_expr.coefficient(Variable(pinf_index));
- if (ppi == sc_denom)
- // Add the constraint `v - pinf_index <= sum'.
- if (var_id < pinf_index)
- matrix[2*pinf_index][n_var] = sum;
- else
- matrix[n_var + 1][2*pinf_index + 1] = sum;
- else
- if (ppi == minus_sc_denom) {
- // Add the constraint `v + pinf_index <= sum'.
- if (var_id < pinf_index)
- matrix[2*pinf_index + 1][n_var] = sum;
- else
- matrix[n_var + 1][2*pinf_index] = sum;
- }
- }
- }
-
- // Exploit the lower approximation, if possible.
- if (neg_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is
- // achieved as usual by rounding upwards `minus_sc_denom'
- // and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
- }
- // Add the lower bound constraint, if meaningful.
- if (neg_pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- PPL_DIRTY_TEMP(N, double_neg_sum);
- mul_2exp_assign_r(double_neg_sum, neg_sum, 1, ROUND_UP);
- matrix[n_var][n_var + 1] = double_neg_sum;
- // Deduce constraints of the form `-v +/- u', where `u != v'.
- deduce_minus_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom,
- neg_sum);
- }
- else
- // Here `neg_pinf_count == 1'.
- if (neg_pinf_index != var_id) {
- const Coefficient& npi
- = sc_expr.coefficient(Variable(neg_pinf_index));
- if (npi == sc_denom)
- // Add the constraint `v - neg_pinf_index >= -neg_sum',
- // i.e., `neg_pinf_index - v <= neg_sum'.
- if (neg_pinf_index < var_id)
- matrix[n_var][2*neg_pinf_index] = neg_sum;
- else
- matrix[2*neg_pinf_index + 1][n_var + 1] = neg_sum;
- else
- if (npi == minus_sc_denom) {
- // Add the constraint `v + neg_pinf_index >= -neg_sum',
- // i.e., `-neg_pinf_index - v <= neg_sum'.
- if (neg_pinf_index < var_id)
- matrix[n_var][2*neg_pinf_index + 1] = neg_sum;
- else
- matrix[2*neg_pinf_index][n_var + 1] = neg_sum;
- }
- }
- }
- break;
- }
-
- case LESS_OR_EQUAL:
- {
- // Compute an upper approximation for `expr' into `sum',
- // taking into account the sign of `denominator'.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP(N, approx_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- // Note: indices above `w_id' can be disregarded, as they all have
- // a zero coefficient in `expr'.
- for (Row_Iterator m_iter = m_begin,
- m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_Reference m_i = *m_iter;
- ++m_iter;
- Row_Reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i == 0)
- continue;
- // Choose carefully: we are approximating `sc_expr'.
- const N& double_approx_i = (sign_i > 0) ? m_ci[n_i] : m_i[n_i + 1];
- if (is_plus_infinity(double_approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = id;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is achieved
- // by rounding upwards `minus_sc-denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v <= sum'.
- PPL_DIRTY_TEMP(N, double_sum);
- mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
- add_octagonal_constraint(n_var + 1, n_var, double_sum);
- // Deduce constraints of the form `v +/- u', where `u != v'.
- deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1) {
- dimension_type pinf_ind = 2*pinf_index;
- if (expr.coefficient(Variable(pinf_index)) == denominator ) {
- // Add the constraint `v - pinf_index <= sum'.
- if (var_id < pinf_index)
- add_octagonal_constraint(pinf_ind, n_var, sum);
- else
- add_octagonal_constraint(n_var + 1, pinf_ind + 1, sum);
- }
- else {
- if (expr.coefficient(Variable(pinf_index)) == minus_denom) {
- // Add the constraint `v + pinf_index <= sum'.
- if (var_id < pinf_index)
- add_octagonal_constraint(pinf_ind + 1, n_var, sum);
- else
- add_octagonal_constraint(n_var + 1, pinf_ind, sum);
- }
- }
- }
- break;
- }
-
- case GREATER_OR_EQUAL:
- {
- // Compute an upper approximation for `-sc_expr' into `sum'.
- // Note: approximating `-sc_expr' from above and then negating the
- // result is the same as approximating `sc_expr' from below.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `-sc_expr'.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP(N, approx_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- for (Row_Iterator m_iter = m_begin,
- m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_Reference m_i = *m_iter;
- ++m_iter;
- Row_Reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i == 0)
- continue;
- // Choose carefully: we are approximating `-sc_expr'.
- const N& double_approx_i = (sign_i > 0) ? m_i[n_i + 1] : m_ci[n_i];
- if (is_plus_infinity(double_approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = id;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is
- // achieved by rounding upwards `minus_sc_denom' and
- // negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- PPL_DIRTY_TEMP(N, double_sum);
- mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
- add_octagonal_constraint(n_var, n_var + 1, double_sum);
- // Deduce constraints of the form `-v +/- u', where `u != v'.
- deduce_minus_v_pm_u_bounds(var_id, pinf_index, sc_expr, sc_denom,
- sum);
- }
- else if (pinf_count == 1) {
- dimension_type pinf_ind = 2*pinf_index;
- if (expr.coefficient(Variable(pinf_index)) == denominator) {
- // Add the constraint `v - pinf_index >= -sum',
- // i.e., `pinf_index - v <= sum'.
- if (pinf_index < var_id)
- add_octagonal_constraint(n_var, pinf_ind, sum);
- else
- add_octagonal_constraint(pinf_ind + 1, n_var, sum);
- }
- else {
- if (expr.coefficient(Variable(pinf_index)) == minus_denom) {
- // Add the constraint `v + pinf_index >= -sum',
- // i.e., `-pinf_index - v <= sum'.
- if (pinf_index < var_id)
- add_octagonal_constraint(n_var, pinf_ind + 1, sum);
- else
- add_octagonal_constraint(pinf_ind, n_var + 1, sum);
- }
- }
- }
- break;
- }
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::affine_image(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("affine_image(v, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("affine_image(v, e, d)", "e", expr);
-
- // `var' should be one of the dimensions of the octagon.
- const dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("affine_image(v, e, d)", var_id + 1);
-
- strong_closure_assign();
- // The image of an empty octagon is empty too.
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Variable-index of the last non-zero coefficient in `expr', if any.
- dimension_type w_id = expr.last_nonzero();
-
- if (w_id != 0) {
- ++t;
- if (!expr.all_zeroes(1, w_id))
- ++t;
- --w_id;
- }
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- using std::swap;
-
- const dimension_type n_var = 2*var_id;
- const Coefficient& b = expr.inhomogeneous_term();
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign_r(minus_denom, denominator, ROUND_NOT_NEEDED);
-
- // `w' is the variable with index `w_id'.
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `expr' is of the general form.
-
- if (t == 0) {
- // Case 1: expr == b.
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- PPL_DIRTY_TEMP_COEFFICIENT(two_b);
- two_b = 2*b;
- // Add the constraint `var == b/denominator'.
- add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
- add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // The one and only non-zero homogeneous coefficient in `expr'.
- const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
- if (w_coeff == denominator || w_coeff == minus_denom) {
- // Case 2: expr = w_coeff*w + b, with w_coeff = +/- denominator.
- if (w_id == var_id) {
- // Here `expr' is of the form: +/- denominator * v + b.
- const bool sign_symmetry = (w_coeff != denominator);
- if (!sign_symmetry && b == 0)
- // The transformation is the identity function.
- return;
- // Translate all the constraints on `var' adding or
- // subtracting the value `b/denominator'.
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- PPL_DIRTY_TEMP(N, minus_d);
- div_round_up(minus_d, b, minus_denom);
- if (sign_symmetry)
- swap(d, minus_d);
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
- ++m_iter;
- Row_Reference m_cv = *m_iter;
- ++m_iter;
- // NOTE: delay update of unary constraints on `var'.
- for (dimension_type j = n_var; j-- > 0; ) {
- N& m_v_j = m_v[j];
- add_assign_r(m_v_j, m_v_j, minus_d, ROUND_UP);
- N& m_cv_j = m_cv[j];
- add_assign_r(m_cv_j, m_cv_j, d, ROUND_UP);
- if (sign_symmetry)
- swap(m_v_j, m_cv_j);
- }
- for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
- N& m_i_v = m_i[n_var];
- add_assign_r(m_i_v, m_i_v, d, ROUND_UP);
- N& m_i_cv = m_i[n_var + 1];
- add_assign_r(m_i_cv, m_i_cv, minus_d, ROUND_UP);
- if (sign_symmetry)
- swap(m_i_v, m_i_cv);
- }
- // Now update unary constraints on var.
- mul_2exp_assign_r(d, d, 1, ROUND_UP);
- N& m_cv_v = m_cv[n_var];
- add_assign_r(m_cv_v, m_cv_v, d, ROUND_UP);
- mul_2exp_assign_r(minus_d, minus_d, 1, ROUND_UP);
- N& m_v_cv = m_v[n_var + 1];
- add_assign_r(m_v_cv, m_v_cv, minus_d, ROUND_UP);
- if (sign_symmetry)
- swap(m_cv_v, m_v_cv);
- // Note: strong closure is preserved.
- }
- else {
- // Here `w != var', so that `expr' is of the form
- // +/-denominator * w + b.
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- const dimension_type n_w = 2*w_id;
- // Add the new constraint `var - w = b/denominator'.
- if (w_coeff == denominator) {
- if (var_id < w_id) {
- add_octagonal_constraint(n_w, n_var, b, denominator);
- add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
- }
- else {
- add_octagonal_constraint(n_var + 1, n_w + 1, b, denominator);
- add_octagonal_constraint(n_var, n_w, b, minus_denom);
- }
- }
- else {
- // Add the new constraint `var + w = b/denominator'.
- if (var_id < w_id) {
- add_octagonal_constraint(n_w + 1, n_var, b, denominator);
- add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
- }
- else {
- add_octagonal_constraint(n_var + 1, n_w, b, denominator);
- add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
- }
- }
- incremental_strong_closure_assign(var);
- }
- PPL_ASSERT(OK());
- return;
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t == 1, expr == a*w + b, but a <> +/- denominator.
- // We will remove all the constraints on `var' and add back
- // constraints providing upper and lower bounds for `var'.
-
- // Compute upper approximations for `expr' and `-expr'
- // into `pos_sum' and `neg_sum', respectively, taking into account
- // the sign of `denominator'.
- // Note: approximating `-expr' from above and then negating the
- // result is the same as approximating `expr' from below.
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign_r(minus_b, b, ROUND_NOT_NEEDED);
-
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -expr;
- const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, pos_sum);
- PPL_DIRTY_TEMP(N, neg_sum);
- // Indices of the variables that are unbounded in `this->matrix'.
- PPL_UNINITIALIZED(dimension_type, pos_pinf_index);
- PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
- // Number of unbounded variables found.
- dimension_type pos_pinf_count = 0;
- dimension_type neg_pinf_count = 0;
-
- // Approximate the inhomogeneous term.
- assign_r(pos_sum, sc_b, ROUND_UP);
- assign_r(neg_sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP(N, minus_coeff_i);
- PPL_DIRTY_TEMP(N, half);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- const Row_Iterator m_begin = matrix.row_begin();
- for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_reference m_i = *m_iter;
- ++m_iter;
- Row_reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i > 0) {
- assign_r(coeff_i, sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pos_pinf_count <= 1) {
- const N& double_up_approx_i = m_ci[n_i];
- if (!is_plus_infinity(double_up_approx_i)) {
- // Let half = double_up_approx_i / 2.
- div_2exp_assign_r(half, double_up_approx_i, 1, ROUND_UP);
- add_mul_assign_r(pos_sum, coeff_i, half, ROUND_UP);
- }
- else {
- ++pos_pinf_count;
- pos_pinf_index = id;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& double_up_approx_minus_i = m_i[n_i + 1];
- if (!is_plus_infinity(double_up_approx_minus_i)) {
- // Let half = double_up_approx_minus_i / 2.
- div_2exp_assign_r(half, double_up_approx_minus_i, 1, ROUND_UP);
- add_mul_assign_r(neg_sum, coeff_i, half, ROUND_UP);
- }
- else {
- ++neg_pinf_count;
- neg_pinf_index = id;
- }
- }
- }
- else if (sign_i < 0) {
- neg_assign_r(minus_sc_i, sc_i, ROUND_NOT_NEEDED);
- assign_r(minus_coeff_i, minus_sc_i, ROUND_UP);
- // Approximating `sc_expr'.
- if (pos_pinf_count <= 1) {
- const N& double_up_approx_minus_i = m_i[n_i + 1];
- if (!is_plus_infinity(double_up_approx_minus_i)) {
- // Let half = double_up_approx_minus_i / 2.
- div_2exp_assign_r(half, double_up_approx_minus_i, 1, ROUND_UP);
- add_mul_assign_r(pos_sum, minus_coeff_i, half, ROUND_UP);
- }
- else {
- ++pos_pinf_count;
- pos_pinf_index = id;
- }
- }
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& double_up_approx_i = m_ci[n_i];
- if (!is_plus_infinity(double_up_approx_i)) {
- // Let half = double_up_approx_i / 2.
- div_2exp_assign_r(half, double_up_approx_i, 1, ROUND_UP);
- add_mul_assign_r(neg_sum, minus_coeff_i, half, ROUND_UP);
- }
- else {
- ++neg_pinf_count;
- neg_pinf_index = id;
- }
- }
- }
- }
-
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- // Return immediately if no approximation could be computed.
- if (pos_pinf_count > 1 && neg_pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // In the following, strong closure will be definitely lost.
- reset_strongly_closed();
-
- // Exploit the upper approximation, if possible.
- if (pos_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(pos_sum, pos_sum, down_sc_denom, ROUND_UP);
- }
- // Add the upper bound constraint, if meaningful.
- if (pos_pinf_count == 0) {
- // Add the constraint `v <= pos_sum'.
- PPL_DIRTY_TEMP(N, double_pos_sum);
- mul_2exp_assign_r(double_pos_sum, pos_sum, 1, ROUND_UP);
- matrix[n_var + 1][n_var] = double_pos_sum;
- // Deduce constraints of the form `v +/- u', where `u != v'.
- deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, pos_sum);
- }
- else
- // Here `pos_pinf_count == 1'.
- if (pos_pinf_index != var_id) {
- const Coefficient& ppi = sc_expr.coefficient(Variable(pos_pinf_index));
- if (ppi == sc_denom)
- // Add the constraint `v - pos_pinf_index <= pos_sum'.
- if (var_id < pos_pinf_index)
- matrix[2*pos_pinf_index][n_var] = pos_sum;
- else
- matrix[n_var + 1][2*pos_pinf_index + 1] = pos_sum;
- else
- if (ppi == minus_sc_denom) {
- // Add the constraint `v + pos_pinf_index <= pos_sum'.
- if (var_id < pos_pinf_index)
- matrix[2*pos_pinf_index + 1][n_var] = pos_sum;
- else
- matrix[n_var + 1][2*pos_pinf_index] = pos_sum;
- }
- }
- }
-
- // Exploit the lower approximation, if possible.
- if (neg_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
- }
- // Add the lower bound constraint, if meaningful.
- if (neg_pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- PPL_DIRTY_TEMP(N, double_neg_sum);
- mul_2exp_assign_r(double_neg_sum, neg_sum, 1, ROUND_UP);
- matrix[n_var][n_var + 1] = double_neg_sum;
- // Deduce constraints of the form `-v +/- u', where `u != v'.
- deduce_minus_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, neg_sum);
- }
- else
- // Here `neg_pinf_count == 1'.
- if (neg_pinf_index != var_id) {
- const Coefficient& npi = sc_expr.coefficient(Variable(neg_pinf_index));
- if (npi == sc_denom)
- // Add the constraint `v - neg_pinf_index >= -neg_sum',
- // i.e., `neg_pinf_index - v <= neg_sum'.
- if (neg_pinf_index < var_id)
- matrix[n_var][2*neg_pinf_index] = neg_sum;
- else
- matrix[2*neg_pinf_index + 1][n_var + 1] = neg_sum;
- else
- if (npi == minus_sc_denom) {
- // Add the constraint `v + neg_pinf_index >= -neg_sum',
- // i.e., `-neg_pinf_index - v <= neg_sum'.
- if (neg_pinf_index < var_id)
- matrix[n_var][2*neg_pinf_index + 1] = neg_sum;
- else
- matrix[2*neg_pinf_index][n_var + 1] = neg_sum;
- }
- }
- }
-
- incremental_strong_closure_assign(var);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-Octagonal_Shape<T>::affine_form_image(const Variable var,
- const Linear_Form< Interval<T, Interval_Info> >& lf) {
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::affine_form_image(Variable, Linear_Form):"
- " T is not a floating point type.");
-
- // Dimension-compatibility checks.
- // The dimension of `lf' should not be greater than the dimension
- // of `*this'.
- const dimension_type lf_space_dim = lf.space_dimension();
- if (space_dim < lf_space_dim)
- throw_dimension_incompatible("affine_form_image(v, l)", "l", lf);
-
- // `var' should be one of the dimensions of the octagon.
- const dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("affine_form_image(v, l)", var.id() + 1);
-
- strong_closure_assign();
- // The image of an empty octagon is empty too.
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lf': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Variable-index of the last non-zero coefficient in `lf', if any.
- dimension_type w_id = 0;
-
- // Get information about the number of non-zero coefficients in `lf'.
- for (dimension_type i = lf_space_dim; i-- > 0; )
- if (lf.coefficient(Variable(i)) != 0) {
- if (t++ == 1)
- break;
- else
- w_id = i;
- }
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- typedef Interval<T, Interval_Info> FP_Interval_Type;
- using std::swap;
-
- const dimension_type n_var = 2*var_id;
- const FP_Interval_Type& b = lf.inhomogeneous_term();
-
- // `w' is the variable with index `w_id'.
- // Now we know the form of `lf':
- // - If t == 0, then lf == [lb, ub];
- // - If t == 1, then lf == a*w + [lb, ub], where `w' can be `v' or another
- // variable;
- // - If t == 2, the `lf' is of the general form.
-
- PPL_DIRTY_TEMP(N, b_ub);
- assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(N, b_mlb);
- neg_assign_r(b_mlb, b.lower(), ROUND_NOT_NEEDED);
-
- if (t == 0) {
- // Case 1: lf = [lb, ub].
- forget_all_octagonal_constraints(var_id);
- mul_2exp_assign_r(b_mlb, b_mlb, 1, ROUND_UP);
- mul_2exp_assign_r(b_ub, b_ub, 1, ROUND_UP);
- // Add the constraint `var >= lb && var <= ub'.
- add_octagonal_constraint(n_var + 1, n_var, b_ub);
- add_octagonal_constraint(n_var, n_var + 1, b_mlb);
- PPL_ASSERT(OK());
- return;
- }
-
- // True if `b' is in [0, 0].
- bool is_b_zero = (b_mlb == 0 && b_ub == 0);
-
- if (t == 1) {
- // The one and only non-zero homogeneous coefficient in `lf'.
- const FP_Interval_Type& w_coeff = lf.coefficient(Variable(w_id));
- // True if `w_coeff' is in [1, 1].
- bool is_w_coeff_one = (w_coeff == 1);
- // True if `w_coeff' is in [-1, -1].
- bool is_w_coeff_minus_one = (w_coeff == -1);
- if (is_w_coeff_one || is_w_coeff_minus_one) {
- // Case 2: lf = w_coeff*w + b, with w_coeff = [+/-1, +/-1].
- if (w_id == var_id) {
- // Here lf = w_coeff*v + b, with w_coeff = [+/-1, +/-1].
- if (is_w_coeff_one && is_b_zero)
- // The transformation is the identity function.
- return;
- // Translate all the constraints on `var' by adding the value
- // `b_ub' or subtracting the value `b_lb'.
- if (is_w_coeff_minus_one)
- swap(b_ub, b_mlb);
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
- ++m_iter;
- Row_Reference m_cv = *m_iter;
- ++m_iter;
- // NOTE: delay update of unary constraints on `var'.
- for (dimension_type j = n_var; j-- > 0; ) {
- N& m_v_j = m_v[j];
- add_assign_r(m_v_j, m_v_j, b_mlb, ROUND_UP);
- N& m_cv_j = m_cv[j];
- add_assign_r(m_cv_j, m_cv_j, b_ub, ROUND_UP);
- if (is_w_coeff_minus_one)
- swap(m_v_j, m_cv_j);
- }
- for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
- N& m_i_v = m_i[n_var];
- add_assign_r(m_i_v, m_i_v, b_ub, ROUND_UP);
- N& m_i_cv = m_i[n_var + 1];
- add_assign_r(m_i_cv, m_i_cv, b_mlb, ROUND_UP);
- if (is_w_coeff_minus_one)
- swap(m_i_v, m_i_cv);
- }
- // Now update unary constraints on var.
- mul_2exp_assign_r(b_ub, b_ub, 1, ROUND_UP);
- N& m_cv_v = m_cv[n_var];
- add_assign_r(m_cv_v, m_cv_v, b_ub, ROUND_UP);
- mul_2exp_assign_r(b_mlb, b_mlb, 1, ROUND_UP);
- N& m_v_cv = m_v[n_var + 1];
- add_assign_r(m_v_cv, m_v_cv, b_mlb, ROUND_UP);
- if (is_w_coeff_minus_one)
- swap(m_cv_v, m_v_cv);
- // Note: strong closure is preserved.
- }
- else {
- // Here `w != var', so that `lf' is of the form
- // [+/-1, +/-1] * w + b.
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- const dimension_type n_w = 2*w_id;
- if (is_w_coeff_one)
- // Add the new constraints `var - w >= b_lb'
- // `and var - w <= b_ub'.
- if (var_id < w_id) {
- add_octagonal_constraint(n_w, n_var, b_ub);
- add_octagonal_constraint(n_w + 1, n_var + 1, b_mlb);
- }
- else {
- add_octagonal_constraint(n_var + 1, n_w + 1, b_ub);
- add_octagonal_constraint(n_var, n_w, b_mlb);
- }
- else
- // Add the new constraints `var + w >= b_lb'
- // `and var + w <= b_ub'.
- if (var_id < w_id) {
- add_octagonal_constraint(n_w + 1, n_var, b_ub);
- add_octagonal_constraint(n_w, n_var + 1, b_mlb);
- }
- else {
- add_octagonal_constraint(n_var + 1, n_w, b_ub);
- add_octagonal_constraint(n_var, n_w + 1, b_mlb);
- }
- incremental_strong_closure_assign(var);
- }
- PPL_ASSERT(OK());
- return;
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr == i_1*x_1 + i_2*x_2 + ... + i_n*x_n + b, where n >= 2,
- // or t == 1, expr == i*w + b, but i <> [+/-1, +/-1].
-
- // In the following, strong closure will be definitely lost.
- reset_strongly_closed();
-
- Linear_Form<FP_Interval_Type> minus_lf(lf);
- minus_lf.negate();
-
- // Declare temporaries outside the loop.
- PPL_DIRTY_TEMP(N, upper_bound);
-
- Row_Iterator m_iter = matrix.row_begin();
- m_iter += n_var;
- Row_Reference var_ite = *m_iter;
- ++m_iter;
- Row_Reference var_cv_ite = *m_iter;
- ++m_iter;
- Row_Iterator m_end = matrix.row_end();
-
- // Update binary constraints on var FIRST.
- for (dimension_type curr_var = var_id,
- n_curr_var = n_var - 2; curr_var-- > 0; ) {
- Variable current(curr_var);
- linear_form_upper_bound(lf + current, upper_bound);
- assign_r(var_cv_ite[n_curr_var], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(lf - current, upper_bound);
- assign_r(var_cv_ite[n_curr_var + 1], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(minus_lf + current, upper_bound);
- assign_r(var_ite[n_curr_var], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(minus_lf - current, upper_bound);
- assign_r(var_ite[n_curr_var + 1], upper_bound, ROUND_NOT_NEEDED);
- n_curr_var -= 2;
- }
- for (dimension_type curr_var = var_id + 1; m_iter != m_end; ++m_iter) {
- Row_Reference m_v_ite = *m_iter;
- ++m_iter;
- Row_Reference m_cv_ite = *m_iter;
- Variable current(curr_var);
- linear_form_upper_bound(lf + current, upper_bound);
- assign_r(m_cv_ite[n_var], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(lf - current, upper_bound);
- assign_r(m_v_ite[n_var], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(minus_lf + current, upper_bound);
- assign_r(m_cv_ite[n_var + 1], upper_bound, ROUND_NOT_NEEDED);
- linear_form_upper_bound(minus_lf - current, upper_bound);
- assign_r(m_v_ite[n_var + 1], upper_bound, ROUND_NOT_NEEDED);
- ++curr_var;
- }
-
- // Finally, update unary constraints on var.
- PPL_DIRTY_TEMP(N, lf_ub);
- linear_form_upper_bound(lf, lf_ub);
- PPL_DIRTY_TEMP(N, minus_lf_ub);
- linear_form_upper_bound(minus_lf, minus_lf_ub);
- mul_2exp_assign_r(lf_ub, lf_ub, 1, ROUND_UP);
- assign_r(matrix[n_var + 1][n_var], lf_ub, ROUND_NOT_NEEDED);
- mul_2exp_assign_r(minus_lf_ub, minus_lf_ub, 1, ROUND_UP);
- assign_r(matrix[n_var][n_var + 1], minus_lf_ub, ROUND_NOT_NEEDED);
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename Interval_Info>
-void
-Octagonal_Shape<T>::
-linear_form_upper_bound(const Linear_Form< Interval<T, Interval_Info> >& lf,
- N& result) const {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::linear_form_upper_bound:"
- " T not a floating point type.");
-
- const dimension_type lf_space_dimension = lf.space_dimension();
- PPL_ASSERT(lf_space_dimension <= space_dim);
-
- typedef Interval<T, Interval_Info> FP_Interval_Type;
-
- PPL_DIRTY_TEMP(N, curr_lb);
- PPL_DIRTY_TEMP(N, curr_ub);
- PPL_DIRTY_TEMP(N, curr_var_ub);
- PPL_DIRTY_TEMP(N, curr_minus_var_ub);
-
- PPL_DIRTY_TEMP(N, first_comparison_term);
- PPL_DIRTY_TEMP(N, second_comparison_term);
-
- PPL_DIRTY_TEMP(N, negator);
-
- assign_r(result, lf.inhomogeneous_term().upper(), ROUND_NOT_NEEDED);
-
- for (dimension_type curr_var = 0, n_var = 0; curr_var < lf_space_dimension;
- ++curr_var) {
- const FP_Interval_Type& curr_coefficient =
- lf.coefficient(Variable(curr_var));
- assign_r(curr_lb, curr_coefficient.lower(), ROUND_NOT_NEEDED);
- assign_r(curr_ub, curr_coefficient.upper(), ROUND_NOT_NEEDED);
- if (curr_lb != 0 || curr_ub != 0) {
- assign_r(curr_var_ub, matrix[n_var + 1][n_var], ROUND_NOT_NEEDED);
- div_2exp_assign_r(curr_var_ub, curr_var_ub, 1, ROUND_UP);
- neg_assign_r(curr_minus_var_ub, matrix[n_var][n_var + 1],
- ROUND_NOT_NEEDED);
- div_2exp_assign_r(curr_minus_var_ub, curr_minus_var_ub, 1, ROUND_DOWN);
- // Optimize the most common case: curr = +/-[1, 1].
- if (curr_lb == 1 && curr_ub == 1) {
- add_assign_r(result, result, std::max(curr_var_ub, curr_minus_var_ub),
- ROUND_UP);
- }
- else if (curr_lb == -1 && curr_ub == -1) {
- neg_assign_r(negator, std::min(curr_var_ub, curr_minus_var_ub),
- ROUND_NOT_NEEDED);
- add_assign_r(result, result, negator, ROUND_UP);
- }
- else {
- // Next addend will be the maximum of four quantities.
- assign_r(first_comparison_term, 0, ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- add_mul_assign_r(first_comparison_term, curr_var_ub, curr_ub,
- ROUND_UP);
- add_mul_assign_r(second_comparison_term, curr_var_ub, curr_lb,
- ROUND_UP);
- assign_r(first_comparison_term, std::max(first_comparison_term,
- second_comparison_term),
- ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_ub,
- ROUND_UP);
- assign_r(first_comparison_term, std::max(first_comparison_term,
- second_comparison_term),
- ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_lb,
- ROUND_UP);
- assign_r(first_comparison_term, std::max(first_comparison_term,
- second_comparison_term),
- ROUND_NOT_NEEDED);
-
- add_assign_r(result, result, first_comparison_term, ROUND_UP);
- }
- }
-
- n_var += 2;
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::
-interval_coefficient_upper_bound(const N& var_ub, const N& minus_var_ub,
- const N& int_ub, const N& int_lb,
- N& result) {
-
- // Check that T is a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::interval_coefficient_upper_bound:"
- " T not a floating point type.");
-
- // NOTE: we store the first comparison term directly into result.
- PPL_DIRTY_TEMP(N, second_comparison_term);
- PPL_DIRTY_TEMP(N, third_comparison_term);
- PPL_DIRTY_TEMP(N, fourth_comparison_term);
-
- assign_r(result, 0, ROUND_NOT_NEEDED);
- assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
- assign_r(third_comparison_term, 0, ROUND_NOT_NEEDED);
- assign_r(fourth_comparison_term, 0, ROUND_NOT_NEEDED);
-
- add_mul_assign_r(result, var_ub, int_ub, ROUND_UP);
- add_mul_assign_r(second_comparison_term, minus_var_ub, int_ub, ROUND_UP);
- add_mul_assign_r(third_comparison_term, var_ub, int_lb, ROUND_UP);
- add_mul_assign_r(fourth_comparison_term, minus_var_ub, int_lb, ROUND_UP);
-
- assign_r(result, std::max(result, second_comparison_term), ROUND_NOT_NEEDED);
- assign_r(result, std::max(result, third_comparison_term), ROUND_NOT_NEEDED);
- assign_r(result, std::max(result, fourth_comparison_term), ROUND_NOT_NEEDED);
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::affine_preimage(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
-
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("affine_preimage(v, e, d)", "e", expr);
-
- // `var' should be one of the dimensions of the octagon.
- dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("affine_preimage(v, e, d)", var_id + 1);
-
- strong_closure_assign();
- // The image of an empty octagon is empty too.
- if (marked_empty())
- return;
-
- const Coefficient& b = expr.inhomogeneous_term();
-
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
-
- // Variable-index of the last non-zero coefficient in `expr', if any.
- dimension_type w_id = expr.last_nonzero();
-
- if (w_id != 0) {
- ++t;
- if (!expr.all_zeroes(1, w_id))
- ++t;
- --w_id;
- }
-
- // `w' is the variable with index `w_id'.
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `expr' is of the general form.
-
- if (t == 0) {
- // Case 1: expr = n; remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // Value of the one and only non-zero coefficient in `expr'.
- const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
- if (w_coeff == denominator || w_coeff == -denominator) {
- // Case 2: expr = w_coeff*w + b, with w_coeff = +/- denominator.
- if (w_id == var_id) {
- // Apply affine_image() on the inverse of this transformation.
- affine_image(var, denominator*var - b, w_coeff);
- }
- else {
- // `expr == w_coeff*w + b', where `w != var'.
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- PPL_ASSERT(OK());
- }
- return;
- }
- }
- // General case.
- // Either t == 2, so that
- // expr = a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t = 1, expr = a*w + b, but a <> +/- denominator.
- const Coefficient& coeff_v = expr.coefficient(var);
- if (coeff_v != 0) {
- if (coeff_v > 0) {
- // The transformation is invertible.
- Linear_Expression inverse = ((coeff_v + denominator)*var);
- inverse -= expr;
- affine_image(var, inverse, coeff_v);
- }
- else {
- // The transformation is invertible.
- PPL_DIRTY_TEMP_COEFFICIENT(minus_coeff_v);
- neg_assign(minus_coeff_v, coeff_v);
- Linear_Expression inverse = ((minus_coeff_v - denominator)*var);
- inverse += expr;
- affine_image(var, inverse, minus_coeff_v);
- }
- }
- else {
- // The transformation is not invertible: all constraints on `var' are lost.
- forget_all_octagonal_constraints(var_id);
- PPL_ASSERT(OK());
- }
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::generalized_affine_image(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr ,
- Coefficient_traits::const_reference denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("generalized_affine_image(v, r, e, d)", "e",
- expr);
-
- // `var' should be one of the dimensions of the octagon.
- dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- var_id + 1);
-
- // The relation symbol cannot be a strict relation symbol.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is the disequality relation symbol");
-
- if (relsym == EQUAL) {
- // The relation symbol is "=":
- // this is just an affine image computation.
- affine_image(var, expr, denominator);
- return;
- }
-
- strong_closure_assign();
- // The image of an empty octagon is empty too.
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Variable-index of the last non-zero coefficient in `expr', if any.
- dimension_type w_id = expr.last_nonzero();
-
- if (w_id != 0) {
- ++t;
- if (!expr.all_zeroes(1, w_id))
- ++t;
- --w_id;
- }
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
- const dimension_type n_var = 2*var_id;
- const Coefficient& b = expr.inhomogeneous_term();
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign_r(minus_denom, denominator, ROUND_NOT_NEEDED);
-
- // `w' is the variable with index `w_id'.
- // Now we know the form of `expr':
- // - If t == 0, then expr == b, with `b' a constant;
- // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `expr' is of the general form.
-
- if (t == 0) {
- // Case 1: expr = b.
- PPL_DIRTY_TEMP_COEFFICIENT(two_b);
- two_b = 2*b;
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- // Strong closure is lost.
- reset_strongly_closed();
- switch (relsym) {
- case LESS_OR_EQUAL:
- // Add the constraint `var <= b/denominator'.
- add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
- break;
- case GREATER_OR_EQUAL:
- // Add the constraint `var >= n/denominator',
- // i.e., `-var <= -b/denominator'.
- add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // The one and only non-zero homogeneous coefficient in `expr'.
- const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
- if (w_coeff == denominator || w_coeff == minus_denom) {
- // Case 2: expr == w_coeff*w + b, with w_coeff == +/- denominator.
- switch (relsym) {
- case LESS_OR_EQUAL:
- {
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, denominator);
- if (w_id == var_id) {
- // Here `expr' is of the form: +/- denominator * v + b.
- // Strong closure is not preserved.
- reset_strongly_closed();
- if (w_coeff == denominator) {
- // Translate all the constraints of the form `v - w <= cost'
- // into the constraint `v - w <= cost + b/denominator';
- // forget each constraint `w - v <= cost1'.
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
- N& m_v_cv = m_v[n_var + 1];
- ++m_iter;
- Row_Reference m_cv = *m_iter;
- N& m_cv_v = m_cv[n_var];
- ++m_iter;
- // NOTE: delay update of m_v_cv and m_cv_v.
- for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
- N& m_i_v = m_i[n_var];
- add_assign_r(m_i_v, m_i_v, d, ROUND_UP);
- assign_r(m_i[n_var + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- for (dimension_type k = n_var; k-- > 0; ) {
- assign_r(m_v[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
- add_assign_r(m_cv[k], m_cv[k], d, ROUND_UP);
- }
- mul_2exp_assign_r(d, d, 1, ROUND_UP);
- add_assign_r(m_cv_v, m_cv_v, d, ROUND_UP);
- assign_r(m_v_cv, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- else {
- // Here `w_coeff == -denominator'.
- // `expr' is of the form: -a*var + b.
- N& m_v_cv = matrix[n_var][n_var + 1];
- mul_2exp_assign_r(d, d, 1, ROUND_UP);
- add_assign_r(matrix[n_var + 1][n_var], m_v_cv, d, ROUND_UP);
- assign_r(m_v_cv, PLUS_INFINITY, ROUND_NOT_NEEDED);
- forget_binary_octagonal_constraints(var_id);
- }
- }
- else {
- // Here `w != v', so that `expr' is the form
- // +/- denominator*w + b.
- // Remove all constraints on `v'.
- forget_all_octagonal_constraints(var_id);
- const dimension_type n_w = 2*w_id;
- if (w_coeff == denominator) {
- // Add the new constraint `v - w <= b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w, n_var, b, denominator);
- else
- add_octagonal_constraint(n_var + 1, n_w + 1, b, denominator);
- }
- else {
- // Add the new constraint `v + w <= b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w + 1, n_var, b, denominator);
- else
- add_octagonal_constraint(n_var + 1, n_w, b, denominator);
- }
- }
- break;
- }
-
- case GREATER_OR_EQUAL:
- {
- PPL_DIRTY_TEMP(N, d);
- div_round_up(d, b, minus_denom);
- if (w_id == var_id) {
- // Here `expr' is of the form: +/- denominator * v + b.
- // Strong closure is not preserved.
- reset_strongly_closed();
- if (w_coeff == denominator) {
- // Translate each constraint `w - v <= cost'
- // into the constraint `w - v <= cost - b/denominator';
- // forget each constraint `v - w <= cost1'.
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
- N& m_v_cv = m_v[n_var + 1];
- ++m_iter;
- Row_Reference m_cv = *m_iter;
- N& m_cv_v = m_cv[n_var];
- ++m_iter;
- // NOTE: delay update of m_v_cv and m_cv_v.
- for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
- assign_r(m_i[n_var], PLUS_INFINITY, ROUND_NOT_NEEDED);
- add_assign_r(m_i[n_var + 1], m_i[n_var + 1], d, ROUND_UP);
- }
- for (dimension_type k = n_var; k-- > 0; ) {
- add_assign_r(m_v[k], m_v[k], d, ROUND_UP);
- assign_r(m_cv[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- mul_2exp_assign_r(d, d, 1, ROUND_UP);
- add_assign_r(m_v_cv, m_v_cv, d, ROUND_UP);
- assign_r(m_cv_v, PLUS_INFINITY, ROUND_NOT_NEEDED);
- }
- else {
- // Here `w_coeff == -denominator'.
- // `expr' is of the form: -a*var + b.
- N& m_cv_v = matrix[n_var + 1][n_var];
- mul_2exp_assign_r(d, d, 1, ROUND_UP);
- add_assign_r(matrix[n_var][n_var + 1], m_cv_v, d, ROUND_UP);
- assign_r(m_cv_v, PLUS_INFINITY, ROUND_NOT_NEEDED);
- forget_binary_octagonal_constraints(var_id);
- }
- }
- else {
- // Here `w != v', so that `expr' is of the form
- // +/-denominator * w + b, with `w != v'.
- // Remove all constraints on `v'.
- forget_all_octagonal_constraints(var_id);
- const dimension_type n_w = 2*w_id;
- // We have got an expression of the following form:
- // var1 + n, with `var1' != `var'.
- // We remove all constraints of the form `var (+/- var1) >= const'
- // and we add the new constraint `var +/- var1 >= n/denominator'.
- if (w_coeff == denominator) {
- // Add the new constraint `var - w >= b/denominator',
- // i.e., `w - var <= -b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
- else
- add_octagonal_constraint(n_var, n_w, b, minus_denom);
- }
- else {
- // Add the new constraint `var + w >= b/denominator',
- // i.e., `-w - var <= -b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
- else
- add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
- }
- }
- break;
- }
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- PPL_ASSERT(OK());
- return;
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t == 1, expr == a*w + b, but a <> +/- denominator.
- // We will remove all the constraints on `v' and add back
- // a constraint providing an upper or a lower bound for `v'
- // (depending on `relsym').
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign(minus_b, b);
- const Coefficient& sc_b = is_sc ? b : minus_b;
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -expr;
- const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, sum);
- // Index of variable that is unbounded in `this->matrix'.
- PPL_UNINITIALIZED(dimension_type, pinf_index);
- // Number of unbounded variables found.
- dimension_type pinf_count = 0;
-
- switch (relsym) {
- case LESS_OR_EQUAL:
- {
- // Compute an upper approximation for `sc_expr' into `sum'.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, sc_b, ROUND_UP);
- // Approximate the homogeneous part of `sc_expr'.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP(N, approx_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_reference m_i = *m_iter;
- ++m_iter;
- Row_reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i == 0)
- continue;
- // Choose carefully: we are approximating `sc_expr'.
- const N& double_approx_i = (sign_i > 0) ? m_ci[n_i] : m_i[n_i + 1];
- if (is_plus_infinity(double_approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = id;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
- // Remove all constraints on `v'.
- forget_all_octagonal_constraints(var_id);
- reset_strongly_closed();
- // Return immediately if no approximation could be computed.
- if (pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is
- // achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v <= pos_sum'.
- PPL_DIRTY_TEMP(N, double_sum);
- mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
- matrix[n_var + 1][n_var] = double_sum;
- // Deduce constraints of the form `v +/- u', where `u != v'.
- deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1)
- if (pinf_index != var_id) {
- const Coefficient& pi = expr.coefficient(Variable(pinf_index));
- if (pi == denominator ) {
- // Add the constraint `v - pinf_index <= sum'.
- if (var_id < pinf_index)
- matrix[2*pinf_index][n_var] = sum;
- else
- matrix[n_var + 1][2*pinf_index + 1] = sum;
- }
- else {
- if (pi == minus_denom) {
- // Add the constraint `v + pinf_index <= sum'.
- if (var_id < pinf_index)
- matrix[2*pinf_index + 1][n_var] = sum;
- else
- matrix[n_var + 1][2*pinf_index] = sum;
- }
- }
- }
- break;
- }
-
- case GREATER_OR_EQUAL:
- {
- // Compute an upper approximation for `-sc_expr' into `sum'.
- // Note: approximating `-sc_expr' from above and then negating the
- // result is the same as approximating `sc_expr' from below.
-
- // Approximate the inhomogeneous term.
- assign_r(sum, minus_sc_b, ROUND_UP);
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- PPL_DIRTY_TEMP(N, approx_i);
- // Approximate the homogeneous part of `-sc_expr'.
- for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_reference m_i = *m_iter;
- ++m_iter;
- Row_reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i == 0)
- continue;
- // Choose carefully: we are approximating `-sc_expr'.
- const N& double_approx_i = (sign_i > 0) ? m_i[n_i + 1] : m_ci[n_i];
- if (is_plus_infinity(double_approx_i)) {
- if (++pinf_count > 1)
- break;
- pinf_index = id;
- continue;
- }
- if (sign_i > 0)
- assign_r(coeff_i, sc_i, ROUND_UP);
- else {
- neg_assign(minus_sc_i, sc_i);
- assign_r(coeff_i, minus_sc_i, ROUND_UP);
- }
- div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
- add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
- }
-
- // Remove all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- reset_strongly_closed();
- // Return immediately if no approximation could be computed.
- if (pinf_count > 1) {
- PPL_ASSERT(OK());
- return;
- }
-
- // Divide by the (sign corrected) denominator (if needed).
- if (sc_denom != 1) {
- // Before computing the quotient, the denominator should be
- // approximated towards zero. Since `sc_denom' is known to be
- // positive, this amounts to rounding downwards, which is
- // achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
- }
-
- if (pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- PPL_DIRTY_TEMP(N, double_sum);
- mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
- matrix[n_var][n_var + 1] = double_sum;
- // Deduce constraints of the form `-v +/- u', where `u != v'.
- deduce_minus_v_pm_u_bounds(var_id, pinf_index, sc_expr, sc_denom, sum);
- }
- else if (pinf_count == 1)
- if (pinf_index != var_id) {
- const Coefficient& pi = expr.coefficient(Variable(pinf_index));
- if (pi == denominator) {
- // Add the constraint `v - pinf_index >= -sum',
- // i.e., `pinf_index - v <= sum'.
- if (pinf_index < var_id)
- matrix[n_var][2*pinf_index] = sum;
- else
- matrix[2*pinf_index + 1][n_var + 1] = sum;
- }
- else {
- if (pi == minus_denom) {
- // Add the constraint `v + pinf_index >= -sum',
- // i.e., `-pinf_index - v <= sum'.
- if (pinf_index < var_id)
- matrix[n_var][2*pinf_index + 1] = sum;
- else
- matrix[2*pinf_index][n_var + 1] = sum;
- }
- }
- }
- break;
- }
-
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- incremental_strong_closure_assign(var);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- // Dimension-compatibility checks.
- // The dimension of `lhs' should not be greater than the dimension
- // of `*this'.
- dimension_type lhs_space_dim = lhs.space_dimension();
- if (space_dim < lhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
-
- // The dimension of `rhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type rhs_space_dim = rhs.space_dimension();
- if (space_dim < rhs_space_dim)
- throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
-
- // Strict relation symbols are not admitted for octagons.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is the disequality relation symbol");
-
- strong_closure_assign();
- // The image of an empty octagon is empty.
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lhs': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t_lhs = 0;
- // Index of the last non-zero coefficient in `lhs', if any.
- dimension_type j_lhs = lhs.last_nonzero();
-
- if (j_lhs != 0) {
- ++t_lhs;
- if (!lhs.all_zeroes(1, j_lhs))
- ++t_lhs;
- --j_lhs;
- }
-
- const Coefficient& b_lhs = lhs.inhomogeneous_term();
-
- if (t_lhs == 0) {
- // `lhs' is a constant.
- // In principle, it is sufficient to add the constraint `lhs relsym rhs'.
- // Note that this constraint is an octagonal difference if `t_rhs <= 1'
- // or `t_rhs > 1' and `rhs == a*v - a*w + b_rhs' or
- // `rhs == a*v + a*w + b_rhs'. If `rhs' is of a
- // more general form, it will be simply ignored.
- // TODO: if it is not an octagonal difference, should we compute
- // approximations for this constraint?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= rhs);
- break;
- case EQUAL:
- refine_no_check(lhs == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
-
- else if (t_lhs == 1) {
- // Here `lhs == a_lhs * v + b_lhs'.
- // Independently from the form of `rhs', we can exploit the
- // method computing generalized affine images for a single variable.
- Variable v(j_lhs);
- // Compute a sign-corrected relation symbol.
- const Coefficient& denom = lhs.coefficient(v);
- Relation_Symbol new_relsym = relsym;
- if (denom < 0) {
- if (relsym == LESS_OR_EQUAL)
- new_relsym = GREATER_OR_EQUAL;
- else if (relsym == GREATER_OR_EQUAL)
- new_relsym = LESS_OR_EQUAL;
- }
- Linear_Expression expr = rhs - b_lhs;
- generalized_affine_image(v, new_relsym, expr, denom);
- }
- else {
- // Here `lhs' is of the general form, having at least two variables.
- // Compute the set of variables occurring in `lhs'.
- std::vector<Variable> lhs_vars;
- for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
- i != i_end; ++i)
- lhs_vars.push_back(i.variable());
-
- const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
- if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
- // `lhs' and `rhs' variables are disjoint.
- // Existentially quantify all variables in the lhs.
- for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
- dimension_type lhs_vars_i = lhs_vars[i].id();
- forget_all_octagonal_constraints(lhs_vars_i);
- }
- // Constrain the left hand side expression so that it is related to
- // the right hand side expression as dictated by `relsym'.
- // TODO: if the following constraint is NOT an octagonal difference,
- // it will be simply ignored. Should we compute approximations for it?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= rhs);
- break;
- case EQUAL:
- refine_no_check(lhs == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- }
- else {
- // Some variables in `lhs' also occur in `rhs'.
-
-#if 1 // Simplified computation (see the TODO note below).
-
- for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
- dimension_type lhs_vars_i = lhs_vars[i].id();
- forget_all_octagonal_constraints(lhs_vars_i);
- }
-
-#else // Currently unnecessarily complex computation.
-
- // More accurate computation that is worth doing only if
- // the following TODO note is accurately dealt with.
-
- // To ease the computation, we add an additional dimension.
- const Variable new_var(space_dim);
- add_space_dimensions_and_embed(1);
- // Constrain the new dimension to be equal to `rhs'.
- // NOTE: calling affine_image() instead of refine_no_check()
- // ensures some approximation is tried even when the constraint
- // is not an octagonal constraint.
- affine_image(new_var, rhs);
- // Existentially quantify all variables in the lhs.
- // NOTE: enforce strong closure for precision.
- strong_closure_assign();
- PPL_ASSERT(!marked_empty());
- for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
- dimension_type lhs_vars_i = lhs_vars[i].id();
- forget_all_octagonal_constraints(lhs_vars_i);
- }
- // Constrain the new dimension so that it is related to
- // the left hand side as dictated by `relsym'.
- // TODO: each one of the following constraints is definitely NOT
- // an octagonal difference (since it has 3 variables at least).
- // Thus, the method refine_no_check() will simply ignore it.
- // Should we compute approximations for this constraint?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= new_var);
- break;
- case EQUAL:
- refine_no_check(lhs == new_var);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= new_var);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(space_dim-1);
-#endif // Currently unnecessarily complex computation.
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::bounded_affine_image(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
-
- // `var' should be one of the dimensions of the octagon.
- const dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- var_id + 1);
-
- // The dimension of `lb_expr' and `ub_expr' should not be
- // greater than the dimension of `*this'.
- const dimension_type lb_space_dim = lb_expr.space_dimension();
- if (space_dim < lb_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "lb", lb_expr);
- const dimension_type ub_space_dim = ub_expr.space_dimension();
- if (space_dim < ub_space_dim)
- throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "ub", ub_expr);
-
- strong_closure_assign();
- // The image of an empty octagon is empty too.
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lb_expr': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t = 0;
- // Variable-index of the last non-zero coefficient in `lb_expr', if any.
- dimension_type w_id = lb_expr.last_nonzero();
-
- if (w_id != 0) {
- ++t;
- if (!lb_expr.all_zeroes(1, w_id))
- ++t;
- --w_id;
- }
-
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const dimension_type n_var = 2*var_id;
- const Coefficient& b = lb_expr.inhomogeneous_term();
- PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
- neg_assign_r(minus_denom, denominator, ROUND_NOT_NEEDED);
-
- // `w' is the variable with index `w_id'.
- // Now we know the form of `lb_expr':
- // - If t == 0, then lb_expr == b, with `b' a constant;
- // - If t == 1, then lb_expr == a*w + b, where `w' can be `v' or another
- // variable; in this second case we have to check whether `a' is
- // equal to `denominator' or `-denominator', since otherwise we have
- // to fall back on the general form;
- // - If t == 2, the `lb_expr' is of the general form.
-
- if (t == 0) {
- // Case 1: lb_expr == b.
- generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
- PPL_DIRTY_TEMP_COEFFICIENT(two_b);
- two_b = 2*b;
- // Add the constraint `var >= b/denominator'.
- add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
- PPL_ASSERT(OK());
- return;
- }
-
- if (t == 1) {
- // The one and only non-zero homogeneous coefficient in `lb_expr'.
- const Coefficient& w_coeff = lb_expr.coefficient(Variable(w_id));
- if (w_coeff == denominator || w_coeff == minus_denom) {
- // Case 2: lb_expr = w_coeff*w + b, with w_coeff = +/- denominator.
- if (w_id == var_id) {
- // Here `var' occurs in `lb_expr'.
- // To ease the computation, we add an additional dimension.
- const Variable new_var(space_dim);
- add_space_dimensions_and_embed(1);
- // Constrain the new dimension to be equal to `lb_expr'.
- // Here `lb_expr' is of the form: +/- denominator * v + b.
- affine_image(new_var, lb_expr, denominator);
- // Enforce the strong closure for precision.
- strong_closure_assign();
- PPL_ASSERT(!marked_empty());
- // Apply the affine upper bound.
- generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
- // Now apply the affine lower bound, as recorded in `new_var'
- refine_no_check(var >= new_var);
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(space_dim-1);
- return;
- }
- else {
- // Apply the affine upper bound.
- generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
- // Here `w != var', so that `lb_expr' is of the form
- // +/-denominator * w + b.
- const dimension_type n_w = 2*w_id;
- // Add the new constraint `var - w >= b/denominator'.
- if (w_coeff == denominator)
- if (var_id < w_id)
- add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
- else
- add_octagonal_constraint(n_var, n_w, b, minus_denom);
- else {
- // Add the new constraint `var + w >= b/denominator'.
- if (var_id < w_id)
- add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
- else
- add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
- }
- PPL_ASSERT(OK());
- return;
- }
- }
- }
-
- // General case.
- // Either t == 2, so that
- // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
- // or t == 1, expr == a*w + b, but a <> +/- denominator.
- // We will remove all the constraints on `var' and add back
- // constraints providing upper and lower bounds for `var'.
-
- // Compute upper approximations for `expr' and `-expr'
- // into `pos_sum' and `neg_sum', respectively, taking into account
- // the sign of `denominator'.
- // Note: approximating `-expr' from above and then negating the
- // result is the same as approximating `expr' from below.
- const bool is_sc = (denominator > 0);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
- neg_assign_r(minus_b, b, ROUND_NOT_NEEDED);
-
- const Coefficient& minus_sc_b = is_sc ? minus_b : b;
- const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
- const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
- // NOTE: here, for optimization purposes, `minus_expr' is only assigned
- // when `denominator' is negative. Do not use it unless you are sure
- // it has been correctly assigned.
- Linear_Expression minus_expr;
- if (!is_sc)
- minus_expr = -lb_expr;
- const Linear_Expression& sc_expr = is_sc ? lb_expr : minus_expr;
-
- PPL_DIRTY_TEMP(N, neg_sum);
- // Indices of the variables that are unbounded in `this->matrix'.
- PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
- // Number of unbounded variables found.
- dimension_type neg_pinf_count = 0;
-
- // Approximate the inhomogeneous term.
- assign_r(neg_sum, minus_sc_b, ROUND_UP);
-
- // Approximate the homogeneous part of `sc_expr'.
- PPL_DIRTY_TEMP(N, coeff_i);
- PPL_DIRTY_TEMP(N, minus_coeff_i);
- PPL_DIRTY_TEMP(N, half);
- PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- // Note: indices above `w' can be disregarded, as they all have
- // a zero coefficient in `sc_expr'.
- for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
- m_iter != m_iter_end; ) {
- const dimension_type n_i = m_iter.index();
- const dimension_type id = n_i/2;
- Row_reference m_i = *m_iter;
- ++m_iter;
- Row_reference m_ci = *m_iter;
- ++m_iter;
- const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
- const int sign_i = sgn(sc_i);
- if (sign_i > 0) {
- assign_r(coeff_i, sc_i, ROUND_UP);
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& double_up_approx_minus_i = m_i[n_i + 1];
- if (!is_plus_infinity(double_up_approx_minus_i)) {
- // Let half = double_up_approx_minus_i / 2.
- div_2exp_assign_r(half, double_up_approx_minus_i, 1, ROUND_UP);
- add_mul_assign_r(neg_sum, coeff_i, half, ROUND_UP);
- }
- else {
- ++neg_pinf_count;
- neg_pinf_index = id;
- }
- }
- }
- else if (sign_i < 0) {
- neg_assign_r(minus_sc_i, sc_i, ROUND_NOT_NEEDED);
- assign_r(minus_coeff_i, minus_sc_i, ROUND_UP);
- // Approximating `-sc_expr'.
- if (neg_pinf_count <= 1) {
- const N& double_up_approx_i = m_ci[n_i];
- if (!is_plus_infinity(double_up_approx_i)) {
- // Let half = double_up_approx_i / 2.
- div_2exp_assign_r(half, double_up_approx_i, 1, ROUND_UP);
- add_mul_assign_r(neg_sum, minus_coeff_i, half, ROUND_UP);
- }
- else {
- ++neg_pinf_count;
- neg_pinf_index = id;
- }
- }
- }
- }
-
- // Apply the affine upper bound.
- generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
-
- // Return immediately if no approximation could be computed.
- if (neg_pinf_count > 1) {
- return;
- }
-
- // In the following, strong closure will be definitely lost.
- reset_strongly_closed();
-
- // Exploit the lower approximation, if possible.
- if (neg_pinf_count <= 1) {
- // Compute quotient (if needed).
- if (sc_denom != 1) {
- // Before computing quotients, the denominator should be approximated
- // towards zero. Since `sc_denom' is known to be positive, this amounts to
- // rounding downwards, which is achieved as usual by rounding upwards
- // `minus_sc_denom' and negating again the result.
- PPL_DIRTY_TEMP(N, down_sc_denom);
- assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
- neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
- div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
- }
- // Add the lower bound constraint, if meaningful.
- if (neg_pinf_count == 0) {
- // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
- PPL_DIRTY_TEMP(N, double_neg_sum);
- mul_2exp_assign_r(double_neg_sum, neg_sum, 1, ROUND_UP);
- matrix[n_var][n_var + 1] = double_neg_sum;
- // Deduce constraints of the form `-v +/- u', where `u != v'.
- deduce_minus_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, neg_sum);
- }
- else
- // Here `neg_pinf_count == 1'.
- if (neg_pinf_index != var_id) {
- const Coefficient& npi = sc_expr.coefficient(Variable(neg_pinf_index));
- if (npi == sc_denom)
- // Add the constraint `v - neg_pinf_index >= -neg_sum',
- // i.e., `neg_pinf_index - v <= neg_sum'.
- if (neg_pinf_index < var_id)
- matrix[n_var][2*neg_pinf_index] = neg_sum;
- else
- matrix[2*neg_pinf_index + 1][n_var + 1] = neg_sum;
- else
- if (npi == minus_sc_denom) {
- // Add the constraint `v + neg_pinf_index >= -neg_sum',
- // i.e., `-neg_pinf_index - v <= neg_sum'.
- if (neg_pinf_index < var_id)
- matrix[n_var][2*neg_pinf_index + 1] = neg_sum;
- else
- matrix[2*neg_pinf_index][n_var + 1] = neg_sum;
- }
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::generalized_affine_preimage(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)", "d == 0");
-
- // Dimension-compatibility checks.
- // The dimension of `expr' should not be greater than the dimension
- // of `*this'.
- const dimension_type expr_space_dim = expr.space_dimension();
- if (space_dim < expr_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "e", expr);
-
- // `var' should be one of the dimensions of the octagon.
- const dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- var_id + 1);
-
- // The relation symbol cannot be a strict relation symbol.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is the disequality relation symbol");
-
- if (relsym == EQUAL) {
- // The relation symbol is "=":
- // this is just an affine preimage computation.
- affine_preimage(var, expr, denominator);
- return;
- }
-
- // The image of an empty octagon is empty too.
- strong_closure_assign();
- if (marked_empty())
- return;
-
- // Check whether the preimage of this affine relation can be easily
- // computed as the image of its inverse relation.
- const Coefficient& expr_v = expr.coefficient(var);
- if (expr_v != 0) {
- const Relation_Symbol reversed_relsym = (relsym == LESS_OR_EQUAL)
- ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
- const Linear_Expression inverse
- = expr - (expr_v + denominator)*var;
- PPL_DIRTY_TEMP_COEFFICIENT(inverse_denom);
- neg_assign(inverse_denom, expr_v);
- const Relation_Symbol inverse_relsym
- = (sgn(denominator) == sgn(inverse_denom)) ? relsym : reversed_relsym;
- generalized_affine_image(var, inverse_relsym, inverse, inverse_denom);
- return;
- }
-
- // Here `var_coefficient == 0', so that the preimage cannot
- // be easily computed by inverting the affine relation.
- // Shrink the Octagonal_Shape by adding the constraint induced
- // by the affine relation.
- refine(var, relsym, expr, denominator);
-
- // If the shrunk OS is empty, its preimage is empty too; ...
- if (is_empty())
- return;
- // ... otherwise, since the relation was not invertible,
- // we just forget all constraints on `var'.
- forget_all_octagonal_constraints(var_id);
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- // Dimension-compatibility checks.
- // The dimension of `lhs' should not be greater than the dimension
- // of `*this'.
- dimension_type lhs_space_dim = lhs.space_dimension();
- if (space_dim < lhs_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
- "e1", lhs);
-
- // The dimension of `rhs' should not be greater than the dimension
- // of `*this'.
- const dimension_type rhs_space_dim = rhs.space_dimension();
- if (space_dim < rhs_space_dim)
- throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
- "e2", rhs);
-
- // Strict relation symbols are not admitted for octagons.
- if (relsym == LESS_THAN || relsym == GREATER_THAN)
- throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
- "r is a strict relation symbol");
- // The relation symbol cannot be a disequality.
- if (relsym == NOT_EQUAL)
- throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
- "r is the disequality relation symbol");
-
- strong_closure_assign();
- // The image of an empty octagon is empty.
- if (marked_empty())
- return;
-
- // Number of non-zero coefficients in `lhs': will be set to
- // 0, 1, or 2, the latter value meaning any value greater than 1.
- dimension_type t_lhs = 0;
- // Index of the last non-zero coefficient in `lhs', if any.
- dimension_type j_lhs = lhs.last_nonzero();
-
- if (j_lhs != 0) {
- ++t_lhs;
- if (!lhs.all_zeroes(1, j_lhs))
- ++t_lhs;
- j_lhs--;
- }
-
- const Coefficient& b_lhs = lhs.inhomogeneous_term();
-
- // If all variables have a zero coefficient, then `lhs' is a constant:
- // in this case, preimage and image happen to be the same.
- if (t_lhs == 0) {
- generalized_affine_image(lhs, relsym, rhs);
- return;
- }
-
- else if (t_lhs == 1) {
- // Here `lhs == a_lhs * v + b_lhs'.
- // Independently from the form of `rhs', we can exploit the
- // method computing generalized affine preimages for a single variable.
- Variable v(j_lhs);
- // Compute a sign-corrected relation symbol.
- const Coefficient& denom = lhs.coefficient(v);
- Relation_Symbol new_relsym = relsym;
- if (denom < 0) {
- if (relsym == LESS_OR_EQUAL)
- new_relsym = GREATER_OR_EQUAL;
- else if (relsym == GREATER_OR_EQUAL)
- new_relsym = LESS_OR_EQUAL;
- }
- Linear_Expression expr = rhs - b_lhs;
- generalized_affine_preimage(v, new_relsym, expr, denom);
- }
-
- else {
- // Here `lhs' is of the general form, having at least two variables.
- // Compute the set of variables occurring in `lhs'.
- std::vector<Variable> lhs_vars;
- for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
- i != i_end; ++i)
- lhs_vars.push_back(i.variable());
-
- const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
- if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
- // `lhs' and `rhs' variables are disjoint.
- // Constrain the left hand side expression so that it is related to
- // the right hand side expression as dictated by `relsym'.
- // TODO: if the following constraint is NOT an octagonal difference,
- // it will be simply ignored. Should we compute approximations for it?
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(lhs <= rhs);
- break;
- case EQUAL:
- refine_no_check(lhs == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(lhs >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
-
- // Any image of an empty octagon is empty.
- if (is_empty())
- return;
- // Existentially quantify all variables in the lhs.
- for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
- dimension_type lhs_vars_i = lhs_vars[i].id();
- forget_all_octagonal_constraints(lhs_vars_i);
- }
- }
- else {
- // Some variables in `lhs' also occur in `rhs'.
-
- // More accurate computation that is worth doing only if
- // the following TODO note is accurately dealt with.
-
- // To ease the computation, we add an additional dimension.
- const Variable new_var(space_dim);
- add_space_dimensions_and_embed(1);
- // Constrain the new dimension to be equal to `rhs'.
- // NOTE: calling affine_image() instead of refine_no_check()
- // ensures some approximation is tried even when the constraint
- // is not an octagonal difference.
- affine_image(new_var, lhs);
- // Existentially quantify all variables in the lhs.
- // NOTE: enforce strong closure for precision.
- strong_closure_assign();
- PPL_ASSERT(!marked_empty());
- for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
- dimension_type lhs_vars_i = lhs_vars[i].id();
- forget_all_octagonal_constraints(lhs_vars_i);
- }
- // Constrain the new dimension so that it is related to
- // the left hand side as dictated by `relsym'.
- // Note: if `rhs == v + b_rhs' or `rhs == -v + b_rhs' or `rhs == b_rhs',
- // one of the following constraints will be added, because they
- // are octagonal differences.
- // Else the following constraints are NOT octagonal differences,
- // so the method refine_no_check() will ignore them.
- switch (relsym) {
- case LESS_OR_EQUAL:
- refine_no_check(new_var <= rhs);
- break;
- case EQUAL:
- refine_no_check(new_var == rhs);
- break;
- case GREATER_OR_EQUAL:
- refine_no_check(new_var >= rhs);
- break;
- default:
- // We already dealt with the other cases.
- PPL_UNREACHABLE;
- break;
- }
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(space_dim-1);
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::bounded_affine_preimage(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference
- denominator) {
- // The denominator cannot be zero.
- if (denominator == 0)
- throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
-
- // `var' should be one of the dimensions of the octagon.
- const dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- var_id + 1);
-
- // The dimension of `lb_expr' and `ub_expr' should not be
- // greater than the dimension of `*this'.
- const dimension_type lb_space_dim = lb_expr.space_dimension();
- if (space_dim < lb_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "lb", lb_expr);
- const dimension_type ub_space_dim = ub_expr.space_dimension();
- if (space_dim < ub_space_dim)
- throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "ub", ub_expr);
-
- strong_closure_assign();
- // The image of an empty octagon is empty too.
- if (marked_empty())
- return;
-
- if (ub_expr.coefficient(var) == 0) {
- refine(var, LESS_OR_EQUAL, ub_expr, denominator);
- generalized_affine_preimage(var, GREATER_OR_EQUAL,
- lb_expr, denominator);
- return;
- }
- if (lb_expr.coefficient(var) == 0) {
- refine(var, GREATER_OR_EQUAL, lb_expr, denominator);
- generalized_affine_preimage(var, LESS_OR_EQUAL,
- ub_expr, denominator);
- return;
- }
-
- const Coefficient& expr_v = lb_expr.coefficient(var);
- // Here `var' occurs in `lb_expr' and `ub_expr'.
- // To ease the computation, we add an additional dimension.
- const Variable new_var(space_dim);
- add_space_dimensions_and_embed(1);
- const Linear_Expression lb_inverse
- = lb_expr - (expr_v + denominator)*var;
- PPL_DIRTY_TEMP_COEFFICIENT(inverse_denom);
- neg_assign(inverse_denom, expr_v);
- affine_image(new_var, lb_inverse, inverse_denom);
- strong_closure_assign();
- PPL_ASSERT(!marked_empty());
- generalized_affine_preimage(var, LESS_OR_EQUAL,
- ub_expr, denominator);
- if (sgn(denominator) == sgn(inverse_denom))
- refine_no_check(var >= new_var) ;
- else
- refine_no_check(var <= new_var);
- // Remove the temporarily added dimension.
- remove_higher_space_dimensions(space_dim-1);
-}
-
-template <typename T>
-Constraint_System
-Octagonal_Shape<T>::constraints() const {
- const dimension_type space_dim = space_dimension();
- Constraint_System cs;
- cs.set_space_dimension(space_dim);
-
- if (space_dim == 0) {
- if (marked_empty())
- cs = Constraint_System::zero_dim_empty();
- return cs;
- }
-
- if (marked_empty()) {
- cs.insert(Constraint::zero_dim_false());
- return cs;
- }
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
-
- Row_Iterator m_begin = matrix.row_begin();
- Row_Iterator m_end = matrix.row_end();
-
- PPL_DIRTY_TEMP_COEFFICIENT(a);
- PPL_DIRTY_TEMP_COEFFICIENT(b);
-
- // Go through all the unary constraints in `matrix'.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
- const dimension_type i = i_iter.index();
- const Variable x(i/2);
- const N& c_i_ii = (*i_iter)[i + 1];
- ++i_iter;
- const N& c_ii_i = (*i_iter)[i];
- ++i_iter;
- // Go through unary constraints.
- if (is_additive_inverse(c_i_ii, c_ii_i)) {
- // We have a unary equality constraint.
- numer_denom(c_ii_i, b, a);
- a *= 2;
- cs.insert(a*x == b);
- }
- else {
- // We have 0, 1 or 2 inequality constraints.
- if (!is_plus_infinity(c_i_ii)) {
- numer_denom(c_i_ii, b, a);
- a *= 2;
- cs.insert(-a*x <= b);
- }
- if (!is_plus_infinity(c_ii_i)) {
- numer_denom(c_ii_i, b, a);
- a *= 2;
- cs.insert(a*x <= b);
- }
- }
- }
- // Go through all the binary constraints in `matrix'.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
- const dimension_type i = i_iter.index();
- Row_Reference r_i = *i_iter;
- ++i_iter;
- Row_Reference r_ii = *i_iter;
- ++i_iter;
- const Variable y(i/2);
- for (dimension_type j = 0; j < i; j += 2) {
- const N& c_i_j = r_i[j];
- const N& c_ii_jj = r_ii[j + 1];
- const Variable x(j/2);
- if (is_additive_inverse(c_ii_jj, c_i_j)) {
- // We have an equality constraint of the form a*x - a*y = b.
- numer_denom(c_i_j, b, a);
- cs.insert(a*x - a*y == b);
- }
- else {
- // We have 0, 1 or 2 inequality constraints.
- if (!is_plus_infinity(c_i_j)) {
- numer_denom(c_i_j, b, a);
- cs.insert(a*x - a*y <= b);
- }
- if (!is_plus_infinity(c_ii_jj)) {
- numer_denom(c_ii_jj, b, a);
- cs.insert(a*y - a*x <= b);
- }
- }
-
- const N& c_ii_j = r_ii[j];
- const N& c_i_jj = r_i[j + 1];
- if (is_additive_inverse(c_i_jj, c_ii_j)) {
- // We have an equality constraint of the form a*x + a*y = b.
- numer_denom(c_ii_j, b, a);
- cs.insert(a*x + a*y == b);
- }
- else {
- // We have 0, 1 or 2 inequality constraints.
- if (!is_plus_infinity(c_i_jj)) {
- numer_denom(c_i_jj, b, a);
- cs.insert(-a*x - a*y <= b);
- }
- if (!is_plus_infinity(c_ii_j)) {
- numer_denom(c_ii_j, b, a);
- cs.insert(a*x + a*y <= b);
- }
- }
- }
- }
- return cs;
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::expand_space_dimension(Variable var, dimension_type m) {
- // `var' should be one of the dimensions of the vector space.
- const dimension_type var_id = var.id();
- if (var_id + 1 > space_dim)
- throw_dimension_incompatible("expand_space_dimension(v, m)", var_id + 1);
-
- // The space dimension of the resulting octagon should not
- // overflow the maximum allowed space dimension.
- if (m > max_space_dimension() - space_dim)
- throw_invalid_argument("expand_dimension(v, m)",
- "adding m new space dimensions exceeds "
- "the maximum allowed space dimension");
-
- // Nothing to do, if no dimensions must be added.
- if (m == 0)
- return;
-
- // Keep track of the dimension before adding the new ones.
- const dimension_type old_num_rows = matrix.num_rows();
-
- // Add the required new dimensions.
- add_space_dimensions_and_embed(m);
-
- // For each constraints involving variable `var', we add a
- // similar constraint with the new variable substituted for
- // variable `var'.
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
- const dimension_type n_var = 2*var_id;
- Row_iterator v_iter = m_begin + n_var;
- Row_reference m_v = *v_iter;
- Row_reference m_cv = *(v_iter + 1);
-
- for (Row_Iterator i_iter = m_begin + old_num_rows; i_iter != m_end;
- i_iter += 2) {
- Row_Reference m_i = *i_iter;
- Row_Reference m_ci = *(i_iter + 1);
- const dimension_type i = i_iter.index();
- const dimension_type ci = i + 1;
- m_i[ci] = m_v[n_var + 1];
- m_ci[i] = m_cv[n_var];
- for (dimension_type j = 0; j < n_var; ++j) {
- m_i[j] = m_v[j];
- m_ci[j] = m_cv[j];
- }
- for (dimension_type j = n_var + 2; j < old_num_rows; ++j) {
- Row_Iterator j_iter = m_begin + j;
- Row_Reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
- m_i[j] = m_cj[n_var + 1];
- m_ci[j] = m_cj[n_var];
- }
- }
- // In general, adding a constraint does not preserve the strong closure
- // of the octagon.
- if (marked_strongly_closed())
- reset_strongly_closed();
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
- Variable dest) {
- // `dest' should be one of the dimensions of the octagon.
- if (dest.space_dimension() > space_dim)
- throw_dimension_incompatible("fold_space_dimensions(vs, v)", "v", dest);
-
- // The folding of no dimensions is a no-op.
- if (vars.empty())
- return;
-
- // All variables in `vars' should be dimensions of the octagon.
- if (vars.space_dimension() > space_dim)
- throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- vars.space_dimension());
-
- // Moreover, `dest.id()' should not occur in `vars'.
- if (vars.find(dest.id()) != vars.end())
- throw_invalid_argument("fold_space_dimensions(vs, v)",
- "v should not occur in vs");
-
- // Recompute the elements of the row and the column corresponding
- // to variable `dest' by taking the join of their value with the
- // value of the corresponding elements in the row and column of the
- // variable `vars'.
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
-
- const Row_Iterator m_begin = matrix.row_begin();
-
- strong_closure_assign();
- const dimension_type n_rows = matrix.num_rows();
- const dimension_type n_dest = 2*dest.id();
- Row_Iterator v_iter = m_begin + n_dest;
- Row_Reference m_v = *v_iter;
- Row_Reference m_cv = *(v_iter + 1);
- for (Variables_Set::const_iterator i = vars.begin(),
- vs_end = vars.end(); i != vs_end; ++i) {
- const dimension_type tbf_id = *i;
- const dimension_type tbf_var = 2*tbf_id;
- Row_Iterator tbf_iter = m_begin + tbf_var;
- Row_Reference m_tbf = *tbf_iter;
- Row_Reference m_ctbf = *(tbf_iter + 1);
- max_assign(m_v[n_dest + 1], m_tbf[tbf_var + 1]);
- max_assign(m_cv[n_dest], m_ctbf[tbf_var]);
-
- const dimension_type min_id = std::min(n_dest, tbf_var);
- const dimension_type max_id = std::max(n_dest, tbf_var);
-
- using namespace Implementation::Octagonal_Shapes;
- for (dimension_type j = 0; j < min_id; ++j) {
- const dimension_type cj = coherent_index(j);
- max_assign(m_v[j], m_tbf[j]);
- max_assign(m_cv[j], m_ctbf[j]);
- max_assign(m_cv[cj], m_ctbf[cj]);
- max_assign(m_v[cj], m_tbf[cj]);
- }
- for (dimension_type j = min_id + 2; j < max_id; ++j) {
- const dimension_type cj = coherent_index(j);
- Row_Iterator j_iter = m_begin + j;
- Row_Reference m_j = *j_iter;
- Row_Reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
- if (n_dest == min_id) {
- max_assign(m_cj[n_dest + 1], m_tbf[j]);
- max_assign(m_cj[n_dest], m_ctbf[j]);
- max_assign(m_j[n_dest], m_ctbf[cj]);
- max_assign(m_j[n_dest + 1], m_tbf[cj]);
- }
- else {
- max_assign(m_v[j], m_cj[tbf_var + 1]);
- max_assign(m_cv[j], m_cj[tbf_var]);
- max_assign(m_cv[cj], m_j[tbf_var]);
- max_assign(m_v[cj], m_j[tbf_var + 1]);
- }
- }
- for (dimension_type j = max_id + 2; j < n_rows; ++j) {
- Row_Iterator j_iter = m_begin + j;
- Row_Reference m_j = *j_iter;
- Row_Reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
- max_assign(m_cj[n_dest + 1], m_cj[tbf_var + 1]);
- max_assign(m_cj[n_dest], m_cj[tbf_var]);
- max_assign(m_j[n_dest], m_j[tbf_var]);
- max_assign(m_j[n_dest + 1], m_j[tbf_var + 1]);
- }
- }
- remove_space_dimensions(vars);
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::upper_bound_assign_if_exact(const Octagonal_Shape& y) {
- // FIXME, CHECKME: what about inexact computations?
-
- // Declare a const reference to *this (to avoid accidental modifications).
- const Octagonal_Shape& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
-
- if (x_space_dim != y.space_dimension())
- throw_dimension_incompatible("upper_bound_assign_if_exact(y)", y);
-
- // The zero-dim case is trivial.
- if (x_space_dim == 0) {
- upper_bound_assign(y);
- return true;
- }
- // If `x' or `y' is (known to be) empty, the upper bound is exact.
- if (x.marked_empty()) {
- *this = y;
- return true;
- }
- else if (y.is_empty())
- return true;
- else if (x.is_empty()) {
- *this = y;
- return true;
- }
-
- // Here both `x' and `y' are known to be non-empty.
- PPL_ASSERT(x.marked_strongly_closed());
- PPL_ASSERT(y.marked_strongly_closed());
- // Pre-compute the upper bound of `x' and `y'.
- Octagonal_Shape<T> ub(x);
- ub.upper_bound_assign(y);
-
- // Compute redundancy information for x and y.
- // TODO: provide a nicer data structure for redundancy.
- std::vector<Bit_Row> x_non_red;
- x.non_redundant_matrix_entries(x_non_red);
- std::vector<Bit_Row> y_non_red;
- y.non_redundant_matrix_entries(y_non_red);
-
- PPL_DIRTY_TEMP(N, lhs);
- PPL_DIRTY_TEMP(N, lhs_copy);
- PPL_DIRTY_TEMP(N, rhs);
- PPL_DIRTY_TEMP(N, temp_zero);
- assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
- const dimension_type n_rows = x.matrix.num_rows();
- const Row_Iterator x_m_begin = x.matrix.row_begin();
- const Row_Iterator y_m_begin = y.matrix.row_begin();
- const Row_Iterator ub_m_begin = ub.matrix.row_begin();
-
- for (dimension_type i = n_rows; i-- > 0; ) {
- const Bit_Row& x_non_red_i = x_non_red[i];
- using namespace Implementation::Octagonal_Shapes;
- const dimension_type ci = coherent_index(i);
- const dimension_type row_size_i = OR_Matrix<N>::row_size(i);
- Row_Reference x_i = *(x_m_begin + i);
- Row_Reference y_i = *(y_m_begin + i);
- Row_Reference ub_i = *(ub_m_begin + i);
- const N& ub_i_ci = ub_i[ci];
- for (dimension_type j = row_size_i; j-- > 0; ) {
- // Check redundancy of x_i_j.
- if (!x_non_red_i[j])
- continue;
- const N& x_i_j = x_i[j];
- // Check 1st condition in BHZ09 theorem.
- if (x_i_j >= y_i[j])
- continue;
- const dimension_type cj = coherent_index(j);
- const dimension_type row_size_cj = OR_Matrix<N>::row_size(cj);
- Row_Reference ub_cj = *(ub_m_begin + cj);
- const N& ub_cj_j = ub_cj[j];
- for (dimension_type k = 0; k < n_rows; ++k) {
- const Bit_Row& y_non_red_k = y_non_red[k];
- const dimension_type ck = coherent_index(k);
- const dimension_type row_size_k = OR_Matrix<N>::row_size(k);
- Row_Reference x_k = *(x_m_begin + k);
- Row_Reference y_k = *(y_m_begin + k);
- Row_Reference ub_k = *(ub_m_begin + k);
- const N& ub_k_ck = ub_k[ck];
- // Be careful: for each index h, the diagonal element m[h][h]
- // is (by convention) +infty in our implementation; however,
- // BHZ09 theorem assumes that it is equal to 0.
- const N& ub_k_j
- = (k == j)
- ? temp_zero
- : ((j < row_size_k) ? ub_k[j] : ub_cj[ck]);
- const N& ub_i_ck
- = (i == ck)
- ? temp_zero
- : ((ck < row_size_i) ? ub_i[ck] : ub_k[ci]);
-
- for (dimension_type ell = row_size_k; ell-- > 0; ) {
- // Check redundancy of y_k_ell.
- if (!y_non_red_k[ell])
- continue;
- const N& y_k_ell = y_k[ell];
- // Check 2nd condition in BHZ09 theorem.
- if (y_k_ell >= x_k[ell])
- continue;
- const dimension_type cell = coherent_index(ell);
- Row_Reference ub_cell = *(ub_m_begin + cell);
- const N& ub_i_ell
- = (i == ell)
- ? temp_zero
- : ((ell < row_size_i) ? ub_i[ell] : ub_cell[ci]);
- const N& ub_cj_ell
- = (cj == ell)
- ? temp_zero
- : ((ell < row_size_cj) ? ub_cj[ell] : ub_cell[j]);
- // Check 3rd condition in BHZ09 theorem.
- add_assign_r(lhs, x_i_j, y_k_ell, ROUND_UP);
- add_assign_r(rhs, ub_i_ell, ub_k_j, ROUND_UP);
- if (lhs >= rhs)
- continue;
- // Check 4th condition in BHZ09 theorem.
- add_assign_r(rhs, ub_i_ck, ub_cj_ell, ROUND_UP);
- if (lhs >= rhs)
- continue;
- // Check 5th condition in BHZ09 theorem.
- assign_r(lhs_copy, lhs, ROUND_NOT_NEEDED);
- add_assign_r(lhs, lhs_copy, x_i_j, ROUND_UP);
- add_assign_r(rhs, ub_i_ell, ub_i_ck, ROUND_UP);
- add_assign_r(rhs, rhs, ub_cj_j, ROUND_UP);
- if (lhs >= rhs)
- continue;
- // Check 6th condition in BHZ09 theorem.
- add_assign_r(rhs, ub_k_j, ub_cj_ell, ROUND_UP);
- add_assign_r(rhs, rhs, ub_i_ci, ROUND_UP);
- if (lhs >= rhs)
- continue;
- // Check 7th condition of BHZ09 theorem.
- add_assign_r(lhs, lhs_copy, y_k_ell, ROUND_UP);
- add_assign_r(rhs, ub_i_ell, ub_cj_ell, ROUND_UP);
- add_assign_r(rhs, rhs, ub_k_ck, ROUND_UP);
- if (lhs >= rhs)
- continue;
- // Check 8th (last) condition in BHZ09 theorem.
- add_assign_r(rhs, ub_k_j, ub_i_ck, ROUND_UP);
- add_assign_r(rhs, rhs, ub_cell[ell], ROUND_UP);
- if (lhs < rhs)
- // All 8 conditions are satisfied:
- // upper bound is not exact.
- return false;
- }
- }
- }
- }
-
- // The upper bound of x and y is indeed exact.
- m_swap(ub);
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>
-::integer_upper_bound_assign_if_exact(const Octagonal_Shape& y) {
- PPL_COMPILE_TIME_CHECK(std::numeric_limits<T>::is_integer,
- "Octagonal_Shape<T>::"
- "integer_upper_bound_assign_if_exact(y):"
- " T in not an integer datatype.");
- // Declare a const reference to *this (to avoid accidental modifications).
- const Octagonal_Shape& x = *this;
- const dimension_type x_space_dim = x.space_dimension();
-
- if (x_space_dim != y.space_dimension())
- throw_dimension_incompatible("integer_upper_bound_assign_if_exact(y)", y);
-
- // The zero-dim case is trivial.
- if (x_space_dim == 0) {
- upper_bound_assign(y);
- return true;
- }
-
- // If `x' or `y' is (known to) contain no integral point,
- // then the integer upper bound can be computed exactly by tight closure.
- if (x.marked_empty()) {
- *this = y;
- tight_closure_assign();
- return true;
- }
- else if (y.marked_empty()) {
- tight_closure_assign();
- return true;
- }
- else if (x.is_empty() || x.tight_coherence_would_make_empty()) {
- *this = y;
- tight_closure_assign();
- return true;
- }
- else if (y.is_empty() || y.tight_coherence_would_make_empty()) {
- tight_closure_assign();
- return true;
- }
-
- // Here both `x' and `y' are known to be non-empty (and Z-consistent).
- PPL_ASSERT(x.marked_strongly_closed());
- PPL_ASSERT(y.marked_strongly_closed());
- // Pre-compute the integer upper bound of `x' and `y':
- // have to take copies, since tight closure might modify the rational shape.
- Octagonal_Shape<T> tx(x);
- tx.tight_closure_assign();
- Octagonal_Shape<T> ty(y);
- ty.tight_closure_assign();
- Octagonal_Shape<T> ub(tx);
- ub.upper_bound_assign(ty);
-
- // Compute redundancy information for tx and ty.
- // TODO: provide a nicer data structure for redundancy.
- // NOTE: there is no need to identify all redundancies, since this is
- // an optimization; hence we reuse the strong-reduction helper methods.
- std::vector<Bit_Row> tx_non_red;
- tx.non_redundant_matrix_entries(tx_non_red);
- std::vector<Bit_Row> ty_non_red;
- ty.non_redundant_matrix_entries(ty_non_red);
-
- PPL_DIRTY_TEMP(N, lhs_i_j);
- PPL_DIRTY_TEMP(N, lhs_k_ell);
- PPL_DIRTY_TEMP(N, lhs);
- PPL_DIRTY_TEMP(N, lhs_copy);
- PPL_DIRTY_TEMP(N, rhs);
- PPL_DIRTY_TEMP(N, temp_zero);
- assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(N, temp_one);
- assign_r(temp_one, 1, ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(N, temp_two);
- assign_r(temp_two, 2, ROUND_NOT_NEEDED);
-
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
- const dimension_type n_rows = tx.matrix.num_rows();
- const Row_Iterator tx_m_begin = tx.matrix.row_begin();
- const Row_Iterator ty_m_begin = ty.matrix.row_begin();
- const Row_Iterator ub_m_begin = ub.matrix.row_begin();
-
- for (dimension_type i = n_rows; i-- > 0; ) {
- const Bit_Row& tx_non_red_i = tx_non_red[i];
- using namespace Implementation::Octagonal_Shapes;
- const dimension_type ci = coherent_index(i);
- const dimension_type row_size_i = OR_Matrix<N>::row_size(i);
- Row_Reference tx_i = *(tx_m_begin + i);
- Row_Reference ty_i = *(ty_m_begin + i);
- Row_Reference ub_i = *(ub_m_begin + i);
- const N& ub_i_ci = ub_i[ci];
- for (dimension_type j = row_size_i; j-- > 0; ) {
- // Check redundancy of tx_i_j.
- if (!tx_non_red_i[j])
- continue;
- const N& tx_i_j = tx_i[j];
- const dimension_type cj = coherent_index(j);
- const N& eps_i_j = (i == cj) ? temp_two : temp_one;
- // Check condition 1a in BHZ09 Theorem 6.8.
- add_assign_r(lhs_i_j, tx_i_j, eps_i_j, ROUND_NOT_NEEDED);
- if (lhs_i_j > ty_i[j])
- continue;
- const dimension_type row_size_cj = OR_Matrix<N>::row_size(cj);
- Row_Reference ub_cj = *(ub_m_begin + cj);
- const N& ub_cj_j = ub_cj[j];
- for (dimension_type k = 0; k < n_rows; ++k) {
- const Bit_Row& ty_non_red_k = ty_non_red[k];
- const dimension_type ck = coherent_index(k);
- const dimension_type row_size_k = OR_Matrix<N>::row_size(k);
- Row_Reference tx_k = *(tx_m_begin + k);
- Row_Reference ty_k = *(ty_m_begin + k);
- Row_Reference ub_k = *(ub_m_begin + k);
- const N& ub_k_ck = ub_k[ck];
- // Be careful: for each index h, the diagonal element m[h][h]
- // is (by convention) +infty in our implementation; however,
- // BHZ09 theorem assumes that it is equal to 0.
- const N& ub_k_j
- = (k == j)
- ? temp_zero
- : ((j < row_size_k) ? ub_k[j] : ub_cj[ck]);
- const N& ub_i_ck
- = (i == ck)
- ? temp_zero
- : ((ck < row_size_i) ? ub_i[ck] : ub_k[ci]);
-
- for (dimension_type ell = row_size_k; ell-- > 0; ) {
- // Check redundancy of y_k_ell.
- if (!ty_non_red_k[ell])
- continue;
- const N& ty_k_ell = ty_k[ell];
- const dimension_type cell = coherent_index(ell);
- const N& eps_k_ell = (k == cell) ? temp_two : temp_one;
- // Check condition 1b in BHZ09 Theorem 6.8.
- add_assign_r(lhs_k_ell, ty_k_ell, eps_k_ell, ROUND_NOT_NEEDED);
- if (lhs_k_ell > tx_k[ell])
- continue;
- Row_Reference ub_cell = *(ub_m_begin + cell);
- const N& ub_i_ell
- = (i == ell)
- ? temp_zero
- : ((ell < row_size_i) ? ub_i[ell] : ub_cell[ci]);
- const N& ub_cj_ell
- = (cj == ell)
- ? temp_zero
- : ((ell < row_size_cj) ? ub_cj[ell] : ub_cell[j]);
- // Check condition 2a in BHZ09 Theorem 6.8.
- add_assign_r(lhs, lhs_i_j, lhs_k_ell, ROUND_NOT_NEEDED);
- add_assign_r(rhs, ub_i_ell, ub_k_j, ROUND_NOT_NEEDED);
- if (lhs > rhs)
- continue;
- // Check condition 2b in BHZ09 Theorem 6.8.
- add_assign_r(rhs, ub_i_ck, ub_cj_ell, ROUND_NOT_NEEDED);
- if (lhs > rhs)
- continue;
- // Check condition 3a in BHZ09 Theorem 6.8.
- assign_r(lhs_copy, lhs, ROUND_NOT_NEEDED);
- add_assign_r(lhs, lhs, lhs_i_j, ROUND_NOT_NEEDED);
- add_assign_r(rhs, ub_i_ell, ub_i_ck, ROUND_NOT_NEEDED);
- add_assign_r(rhs, rhs, ub_cj_j, ROUND_NOT_NEEDED);
- if (lhs > rhs)
- continue;
- // Check condition 3b in BHZ09 Theorem 6.8.
- add_assign_r(rhs, ub_k_j, ub_cj_ell, ROUND_NOT_NEEDED);
- add_assign_r(rhs, rhs, ub_i_ci, ROUND_NOT_NEEDED);
- if (lhs > rhs)
- continue;
- // Check condition 4a in BHZ09 Theorem 6.8.
- add_assign_r(lhs, lhs_copy, lhs_k_ell, ROUND_NOT_NEEDED);
- add_assign_r(rhs, ub_i_ell, ub_cj_ell, ROUND_NOT_NEEDED);
- add_assign_r(rhs, rhs, ub_k_ck, ROUND_NOT_NEEDED);
- if (lhs > rhs)
- continue;
- // Check condition 4b in BHZ09 Theorem 6.8.
- add_assign_r(rhs, ub_k_j, ub_i_ck, ROUND_NOT_NEEDED);
- add_assign_r(rhs, rhs, ub_cell[ell], ROUND_NOT_NEEDED);
- if (lhs <= rhs)
- // All 8 conditions are satisfied:
- // integer upper bound is not exact.
- return false;
- }
- }
- }
- }
-
- // The upper bound of x and y is indeed exact.
- m_swap(ub);
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::drop_some_non_integer_points(Complexity_Class) {
- if (std::numeric_limits<T>::is_integer)
- return;
-
- const dimension_type space_dim = space_dimension();
- strong_closure_assign();
- if (space_dim == 0 || marked_empty())
- return;
-
- for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
- i_end = matrix.element_end(); i != i_end; ++i)
- drop_some_non_integer_points_helper(*i);
-
- // Unary constraints should have an even integer boundary.
- PPL_DIRTY_TEMP(N, temp_one);
- assign_r(temp_one, 1, ROUND_NOT_NEEDED);
- for (dimension_type i = 0; i < 2*space_dim; i += 2) {
- const dimension_type ci = i + 1;
- N& mat_i_ci = matrix[i][ci];
- if (!is_plus_infinity(mat_i_ci) && !is_even(mat_i_ci)) {
- sub_assign_r(mat_i_ci, mat_i_ci, temp_one, ROUND_UP);
- reset_strongly_closed();
- }
- N& mat_ci_i = matrix[ci][i];
- if (!is_plus_infinity(mat_ci_i) && !is_even(mat_ci_i)) {
- sub_assign_r(mat_ci_i, mat_ci_i, temp_one, ROUND_UP);
- reset_strongly_closed();
- }
- }
-
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class) {
- // Dimension-compatibility check.
- const dimension_type min_space_dim = vars.space_dimension();
- if (space_dimension() < min_space_dim)
- throw_dimension_incompatible("drop_some_non_integer_points(vs, cmpl)",
- min_space_dim);
-
- if (std::numeric_limits<T>::is_integer || min_space_dim == 0)
- return;
-
- strong_closure_assign();
- if (marked_empty())
- return;
-
- PPL_DIRTY_TEMP(N, temp_one);
- assign_r(temp_one, 1, ROUND_NOT_NEEDED);
-
- const Variables_Set::const_iterator v_begin = vars.begin();
- const Variables_Set::const_iterator v_end = vars.end();
- PPL_ASSERT(v_begin != v_end);
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
- for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
- const dimension_type i = 2 * (*v_i);
- const dimension_type ci = i + 1;
- Row_Reference m_i = matrix[i];
- Row_Reference m_ci = matrix[ci];
-
- // Unary constraints: should be even integers.
- N& m_i_ci = m_i[ci];
- if (!is_plus_infinity(m_i_ci)) {
- drop_some_non_integer_points_helper(m_i_ci);
- if (!is_even(m_i_ci)) {
- sub_assign_r(m_i_ci, m_i_ci, temp_one, ROUND_UP);
- reset_strongly_closed();
- }
- }
- N& m_ci_i = m_ci[i];
- if (!is_plus_infinity(m_ci_i)) {
- drop_some_non_integer_points_helper(m_ci_i);
- if (!is_even(m_ci_i)) {
- sub_assign_r(m_ci_i, m_ci_i, temp_one, ROUND_UP);
- reset_strongly_closed();
- }
- }
-
- // Binary constraints (note: only consider j < i).
- for (Variables_Set::const_iterator v_j = v_begin; v_j != v_i; ++v_j) {
- const dimension_type j = 2 * (*v_j);
- const dimension_type cj = j + 1;
- drop_some_non_integer_points_helper(m_i[j]);
- drop_some_non_integer_points_helper(m_i[cj]);
- drop_some_non_integer_points_helper(m_ci[j]);
- drop_some_non_integer_points_helper(m_ci[cj]);
- }
- }
- PPL_ASSERT(OK());
-}
-
-template <typename T>
-template <typename U>
-void
-Octagonal_Shape<T>
-::export_interval_constraints(U& dest) const {
- if (space_dim > dest.space_dimension())
- throw std::invalid_argument(
- "Octagonal_Shape<T>::export_interval_constraints");
-
- strong_closure_assign();
-
- if (marked_empty()) {
- dest.set_empty();
- return;
- }
-
- PPL_DIRTY_TEMP(N, lb);
- PPL_DIRTY_TEMP(N, ub);
- for (dimension_type i = space_dim; i-- > 0; ) {
- const dimension_type ii = 2*i;
- const dimension_type cii = ii + 1;
-
- // Set the upper bound.
- const N& twice_ub = matrix[cii][ii];
- if (!is_plus_infinity(twice_ub)) {
- assign_r(ub, twice_ub, ROUND_NOT_NEEDED);
- div_2exp_assign_r(ub, ub, 1, ROUND_UP);
- // FIXME: passing a raw value may not be general enough.
- if (!dest.restrict_upper(i, ub.raw_value()))
- return;
- }
-
- // Set the lower bound.
- const N& twice_lb = matrix[ii][cii];
- if (!is_plus_infinity(twice_lb)) {
- assign_r(lb, twice_lb, ROUND_NOT_NEEDED);
- neg_assign_r(lb, lb, ROUND_NOT_NEEDED);
- div_2exp_assign_r(lb, lb, 1, ROUND_DOWN);
- // FIXME: passing a raw value may not be general enough.
- if (!dest.restrict_lower(i, lb.raw_value()))
- return;
- }
- }
-
-}
-
-/*! \relates Parma_Polyhedra_Library::Octagonal_Shape */
-template <typename T>
-std::ostream&
-IO_Operators::operator<<(std::ostream& s, const Octagonal_Shape<T>& oct) {
- // Handle special cases first.
- if (oct.marked_empty()) {
- s << "false";
- return s;
- }
- if (oct.is_universe()) {
- s << "true";
- return s;
- }
-
- typedef typename Octagonal_Shape<T>::coefficient_type N;
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
-
- // Records whether or not we still have to print the first constraint.
- bool first = true;
-
- Row_Iterator m_begin = oct.matrix.row_begin();
- Row_Iterator m_end = oct.matrix.row_end();
-
- // Temporaries.
- PPL_DIRTY_TEMP(N, negation);
- PPL_DIRTY_TEMP(N, half);
- // Go through all the unary constraints.
- // (Note: loop iterator is incremented in the loop body.)
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
- const dimension_type i = i_iter.index();
- const Variable v_i(i/2);
- const N& c_i_ii = (*i_iter)[i + 1];
- ++i_iter;
- const N& c_ii_i = (*i_iter)[i];
- ++i_iter;
- // Check whether or not it is an equality constraint.
- if (is_additive_inverse(c_i_ii, c_ii_i)) {
- // It is an equality.
- PPL_ASSERT(!is_plus_infinity(c_i_ii) && !is_plus_infinity(c_ii_i));
- if (first)
- first = false;
- else
- s << ", ";
- // If the value bound can NOT be divided by 2 exactly,
- // then we output the constraint `2*v_i = bound'.
- if (div_2exp_assign_r(half, c_ii_i, 1,
- ROUND_UP | ROUND_STRICT_RELATION)
- == V_EQ)
- s << v_i << " = " << half;
- else
- s << "2*" << v_i << " = " << c_ii_i;
- }
- else {
- // We will print unary non-strict inequalities, if any.
- if (!is_plus_infinity(c_i_ii)) {
- if (first)
- first = false;
- else
- s << ", ";
- neg_assign_r(negation, c_i_ii, ROUND_NOT_NEEDED);
- // If the value bound can NOT be divided by 2 exactly,
- // then we output the constraint `2*v_i >= negation'.
- if (div_2exp_assign_r(half, negation, 1,
- ROUND_UP | ROUND_STRICT_RELATION)
- == V_EQ)
- s << v_i << " >= " << half;
- else
- s << "2*" << v_i << " >= " << negation;
- }
- if (!is_plus_infinity(c_ii_i)) {
- if (first)
- first = false;
- else
- s << ", ";
- // If the value bound can NOT be divided by 2 exactly,
- // then we output the constraint `2*v_i <= bound'.
- if (div_2exp_assign_r(half, c_ii_i, 1,
- ROUND_UP | ROUND_STRICT_RELATION)
- == V_EQ)
- s << v_i << " <= " << half;
- else
- s << "2*" << v_i << " <= " << c_ii_i;
- }
- }
- }
-
- // Go through all the binary constraints.
- // (Note: loop iterator is incremented in the loop body.)
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
- const dimension_type i = i_iter.index();
- const Variable v_i(i/2);
- Row_Reference r_i = *i_iter;
- ++i_iter;
- Row_Reference r_ii = *i_iter;
- ++i_iter;
-
- for (dimension_type j = 0; j < i; j += 2) {
- const Variable v_j(j/2);
- // Print binary differences.
- const N& c_ii_jj = r_ii[j + 1];
- const N& c_i_j = r_i[j];
- // Check whether or not it is an equality constraint.
- if (is_additive_inverse(c_ii_jj, c_i_j)) {
- // It is an equality.
- PPL_ASSERT(!is_plus_infinity(c_i_j) && !is_plus_infinity(c_ii_jj));
- if (first)
- first = false;
- else
- s << ", ";
- if (sgn(c_i_j) >= 0)
- s << v_j << " - " << v_i << " = " << c_i_j;
- else
- s << v_i << " - " << v_j << " = " << c_ii_jj;
- }
- else {
- // We will print non-strict inequalities, if any.
- if (!is_plus_infinity(c_i_j)) {
- if (first)
- first = false;
- else
- s << ", ";
- if (sgn(c_i_j) >= 0)
- s << v_j << " - " << v_i << " <= " << c_i_j;
- else {
- neg_assign_r(negation, c_i_j, ROUND_DOWN);
- s << v_i << " - " << v_j << " >= " << negation;
- }
- }
- if (!is_plus_infinity(c_ii_jj)) {
- if (first)
- first = false;
- else
- s << ", ";
- if (sgn(c_ii_jj) >= 0)
- s << v_i << " - " << v_j << " <= " << c_ii_jj;
- else {
- neg_assign_r(negation, c_ii_jj, ROUND_DOWN);
- s << v_j << " - " << v_i << " >= " << negation;
- }
- }
- }
- // Print binary sums.
- const N& c_i_jj = r_i[j + 1];
- const N& c_ii_j = r_ii[j];
- // Check whether or not it is an equality constraint.
- if (is_additive_inverse(c_i_jj, c_ii_j)) {
- // It is an equality.
- PPL_ASSERT(!is_plus_infinity(c_i_jj) && !is_plus_infinity(c_ii_j));
- if (first)
- first = false;
- else
- s << ", ";
- s << v_j << " + " << v_i << " = " << c_ii_j;
- }
- else {
- // We will print non-strict inequalities, if any.
- if (!is_plus_infinity(c_i_jj)) {
- if (first)
- first = false;
- else
- s << ", ";
- neg_assign_r(negation, c_i_jj, ROUND_DOWN);
- s << v_j << " + " << v_i << " >= " << negation;
- }
- if (!is_plus_infinity(c_ii_j)) {
- if (first)
- first = false;
- else
- s << ", ";
- s << v_j << " + " << v_i << " <= " << c_ii_j;
- }
- }
- }
- }
- return s;
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::ascii_dump(std::ostream& s) const {
- s << "space_dim "
- << space_dim
- << "\n";
- status.ascii_dump(s);
- s << "\n";
- matrix.ascii_dump(s);
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, Octagonal_Shape<T>)
-
-template <typename T>
-bool
-Octagonal_Shape<T>::ascii_load(std::istream& s) {
- std::string str;
-
- if (!(s >> str) || str != "space_dim")
- return false;
-
- if (!(s >> space_dim))
- return false;
-
- if (!status.ascii_load(s))
- return false;
-
- if (!matrix.ascii_load(s))
- return false;
-
- PPL_ASSERT(OK());
- return true;
-}
-
-template <typename T>
-memory_size_type
-Octagonal_Shape<T>::external_memory_in_bytes() const {
- return matrix.external_memory_in_bytes();
-}
-
-template <typename T>
-bool
-Octagonal_Shape<T>::OK() const {
- // Check whether the matrix is well-formed.
- if (!matrix.OK())
- return false;
-
- // Check whether the status information is legal.
- if (!status.OK())
- return false;
-
- // All empty octagons are OK.
- if (marked_empty())
- return true;
-
- // 0-dim universe octagon is OK.
- if (space_dim == 0)
- return true;
-
- // MINUS_INFINITY cannot occur at all.
- for (typename OR_Matrix<N>::const_row_iterator i = matrix.row_begin(),
- matrix_row_end = matrix.row_end(); i != matrix_row_end; ++i) {
- typename OR_Matrix<N>::const_row_reference_type x_i = *i;
- for (dimension_type j = i.row_size(); j-- > 0; )
- if (is_minus_infinity(x_i[j])) {
-#ifndef NDEBUG
- using namespace Parma_Polyhedra_Library::IO_Operators;
- std::cerr << "Octagonal_Shape::"
- << "matrix[" << i.index() << "][" << j << "] = "
- << x_i[j] << "!"
- << std::endl;
-#endif
- return false;
- }
- }
-
- // On the main diagonal only PLUS_INFINITY can occur.
- for (typename OR_Matrix<N>::const_row_iterator i = matrix.row_begin(),
- m_end = matrix.row_end(); i != m_end; ++i) {
- typename OR_Matrix<N>::const_row_reference_type r = *i;
- const N& m_i_i = r[i.index()];
- if (!is_plus_infinity(m_i_i)) {
-#ifndef NDEBUG
- const dimension_type j = i.index();
- using namespace Parma_Polyhedra_Library::IO_Operators;
- std::cerr << "Octagonal_Shape::matrix[" << j << "][" << j << "] = "
- << m_i_i << "! (+inf was expected.)\n";
-#endif
- return false;
- }
- }
-
- // The following tests might result in false alarms when using floating
- // point coefficients: they are only meaningful if the coefficient type
- // base is exact (since otherwise strong closure is approximated).
- if (std::numeric_limits<coefficient_type_base>::is_exact) {
-
- // Check whether the closure information is legal.
- if (marked_strongly_closed()) {
- Octagonal_Shape x = *this;
- x.reset_strongly_closed();
- x.strong_closure_assign();
- if (x.matrix != matrix) {
-#ifndef NDEBUG
- std::cerr << "Octagonal_Shape is marked as strongly closed "
- << "but it is not!\n";
-#endif
- return false;
- }
- }
-
- // A closed octagon must be strong-coherent.
- if (marked_strongly_closed())
- if (!is_strong_coherent()) {
-#ifndef NDEBUG
- std::cerr << "Octagonal_Shape is not strong-coherent!\n";
-#endif
- return false;
- }
- }
-
- // All checks passed.
- return true;
-}
-
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::throw_dimension_incompatible(const char* method,
- const Octagonal_Shape& y) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", y->space_dimension() == " << y.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", required dimension == " << required_dim << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::throw_dimension_incompatible(const char* method,
- const Constraint& c) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", c->space_dimension == " << c.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::throw_dimension_incompatible(const char* method,
- const Congruence& cg) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", cg->space_dimension == " << cg.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::throw_dimension_incompatible(const char* method,
- const Generator& g) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", g->space_dimension == " << g.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::throw_constraint_incompatible(const char* method) {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "the constraint is incompatible.";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::throw_expression_too_complex(const char* method,
- const Linear_Expression& le) {
- using namespace IO_Operators;
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << le << " is too complex.";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>
-::throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", " << le_name << "->space_dimension() == "
- << le.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-template <typename C>
-void
-Octagonal_Shape<T>
-::throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << "this->space_dimension() == " << space_dimension()
- << ", " << lf_name << "->space_dimension() == "
- << lf.space_dimension() << ".";
- throw std::invalid_argument(s.str());
-}
-
-template <typename T>
-void
-Octagonal_Shape<T>::throw_invalid_argument(const char* method,
- const char* reason) {
- std::ostringstream s;
- s << "PPL::Octagonal_Shape::" << method << ":\n"
- << reason << ".";
- throw std::invalid_argument(s.str());
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Octagonal_Shape_templates_hh)
diff --git a/src/Octagonal_Shape.types.hh b/src/Octagonal_Shape.types.hh
deleted file mode 100644
index 2c0af90..0000000
--- a/src/Octagonal_Shape.types.hh
+++ /dev/null
@@ -1,25 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Octagonal_Shape_types_hh
-#define PPL_Octagonal_Shape_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-class Octagonal_Shape;
-
-class Octagonal_Shape_Helper;
-
-}
-
-#endif // !defined(PPL_Octagonal_Shape_types_hh)
diff --git a/src/Octagonal_Shape_defs.hh b/src/Octagonal_Shape_defs.hh
new file mode 100644
index 0000000..6cff16b
--- /dev/null
+++ b/src/Octagonal_Shape_defs.hh
@@ -0,0 +1,2324 @@
+/* Octagonal_Shape class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Octagonal_Shape_defs_hh
+#define PPL_Octagonal_Shape_defs_hh 1
+
+#include "Octagonal_Shape_types.hh"
+#include "globals_types.hh"
+#include "Constraint_types.hh"
+#include "Generator_types.hh"
+#include "Congruence_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_System_types.hh"
+#include "Congruence_System_types.hh"
+#include "OR_Matrix_defs.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "Polyhedron_types.hh"
+#include "Box_types.hh"
+#include "Grid_types.hh"
+#include "BD_Shape_types.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_types.hh"
+#include "Checked_Number_defs.hh"
+#include "WRD_coefficient_types_defs.hh"
+#include "Bit_Row_defs.hh"
+#include "Interval_types.hh"
+#include "Linear_Form_types.hh"
+#include <vector>
+#include <cstddef>
+#include <climits>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Octagonal_Shape
+ Writes a textual representation of \p oct on \p s:
+ <CODE>false</CODE> is written if \p oct is an empty polyhedron;
+ <CODE>true</CODE> is written if \p oct is a universe polyhedron;
+ a system of constraints defining \p oct is written otherwise,
+ all constraints separated by ", ".
+*/
+template <typename T>
+std::ostream&
+operator<<(std::ostream& s, const Octagonal_Shape<T>& oct);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Octagonal_Shape */
+template <typename T>
+void swap(Octagonal_Shape<T>& x, Octagonal_Shape<T>& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x and \p y are the same octagon.
+
+ \relates Octagonal_Shape
+ Note that \p x and \p y may be dimension-incompatible shapes:
+ in this case, the value <CODE>false</CODE> is returned.
+*/
+template <typename T>
+bool operator==(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x and \p y are different shapes.
+
+ \relates Octagonal_Shape
+ Note that \p x and \p y may be dimension-incompatible shapes:
+ in this case, the value <CODE>true</CODE> is returned.
+*/
+template <typename T>
+bool operator!=(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the rectilinear distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename T>
+bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the euclidean distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the euclidean distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename T>
+bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
+*/
+template <typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using variables of type
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
+*/
+template <typename Temp, typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir);
+
+//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
+/*! \relates Octagonal_Shape
+ If the \f$L_\infty\f$ distance between \p x and \p y is defined,
+ stores an approximation of it into \p r and returns <CODE>true</CODE>;
+ returns <CODE>false</CODE> otherwise.
+
+ The direction of the approximation is specified by \p dir.
+
+ All computations are performed using the temporary variables
+ \p tmp0, \p tmp1 and \p tmp2.
+*/
+template <typename Temp, typename To, typename T>
+bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
+
+// This class contains some helper functions that need to be friends of
+// Linear_Expression.
+class Octagonal_Shape_Helper {
+public:
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Decodes the constraint \p c as an octagonal difference.
+ /*! \relates Octagonal_Shape
+ \return
+ <CODE>true</CODE> if the constraint \p c is an octagonal difference;
+ <CODE>false</CODE> otherwise.
+
+ \param c
+ The constraint to be decoded.
+
+ \param c_space_dim
+ The space dimension of the constraint \p c (it is <EM>assumed</EM>
+ to match the actual space dimension of \p c).
+
+ \param c_num_vars
+ If <CODE>true</CODE> is returned, then it will be set to the number
+ of variables having a non-zero coefficient. The only legal values
+ will therefore be 0, 1 and 2.
+
+ \param c_first_var
+ If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
+ then it will be set to the index of the first variable having
+ a non-zero coefficient in \p c.
+
+ \param c_second_var
+ If <CODE>true</CODE> is returned and if \p c_num_vars is set to 2,
+ then it will be set to the index of the second variable having
+ a non-zero coefficient in \p c.
+
+ \param c_coeff
+ If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
+ then it will be set to the value of the first non-zero coefficient
+ in \p c.
+
+ \param c_term
+ If <CODE>true</CODE> is returned and if \p c_num_vars is not set to 0,
+ then it will be set to the right value of the inhomogeneous term
+ of \p c.
+ */
+ #endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ static bool extract_octagonal_difference(const Constraint& c,
+ dimension_type c_space_dim,
+ dimension_type& c_num_vars,
+ dimension_type& c_first_var,
+ dimension_type& c_second_var,
+ Coefficient& c_coeff,
+ Coefficient& c_term);
+};
+
+} // namespace Parma_Polyhedra_Library
+
+//! An octagonal shape.
+/*! \ingroup PPL_CXX_interface
+ The class template Octagonal_Shape<T> allows for the efficient
+ representation of a restricted kind of <EM>topologically closed</EM>
+ convex polyhedra called <EM>octagonal shapes</EM> (OSs, for short).
+ The name comes from the fact that, in a vector space of dimension 2,
+ bounded OSs are polygons with at most eight sides.
+ The closed affine half-spaces that characterize the OS can be expressed
+ by constraints of the form
+ \f[
+ ax_i + bx_j \leq k
+ \f]
+ where \f$a, b \in \{-1, 0, 1\}\f$ and \f$k\f$ is a rational number,
+ which are called <EM>octagonal constraints</EM>.
+
+ Based on the class template type parameter \p T, a family of extended
+ numbers is built and used to approximate the inhomogeneous term of
+ octagonal constraints. These extended numbers provide a representation
+ for the value \f$+\infty\f$, as well as <EM>rounding-aware</EM>
+ implementations for several arithmetic functions.
+ The value of the type parameter \p T may be one of the following:
+ - a bounded precision integer type (e.g., \c int32_t or \c int64_t);
+ - a bounded precision floating point type (e.g., \c float or \c double);
+ - an unbounded integer or rational type, as provided by GMP
+ (i.e., \c mpz_class or \c mpq_class).
+
+ The user interface for OSs is meant to be as similar as possible to
+ the one developed for the polyhedron class C_Polyhedron.
+
+ The OS domain <EM>optimally supports</EM>:
+ - tautological and inconsistent constraints and congruences;
+ - octagonal constraints;
+ - non-proper congruences (i.e., equalities) that are expressible
+ as octagonal constraints.
+
+ Depending on the method, using a constraint or congruence that is not
+ optimally supported by the domain will either raise an exception or
+ result in a (possibly non-optimal) upward approximation.
+
+ A constraint is octagonal if it has the form
+ \f[
+ \pm a_i x_i \pm a_j x_j \relsym b
+ \f]
+ where \f$\mathord{\relsym} \in \{ \leq, =, \geq \}\f$ and
+ \f$a_i\f$, \f$a_j\f$, \f$b\f$ are integer coefficients such that
+ \f$a_i = 0\f$, or \f$a_j = 0\f$, or \f$a_i = a_j\f$.
+ The user is warned that the above octagonal Constraint object
+ will be mapped into a \e correct and \e optimal approximation that,
+ depending on the expressive power of the chosen template argument \p T,
+ may loose some precision.
+ Also note that strict constraints are not octagonal.
+
+ For instance, a Constraint object encoding \f$3x + 3y \leq 1\f$ will be
+ approximated by:
+ - \f$x + y \leq 1\f$,
+ if \p T is a (bounded or unbounded) integer type;
+ - \f$x + y \leq \frac{1}{3}\f$,
+ if \p T is the unbounded rational type \c mpq_class;
+ - \f$x + y \leq k\f$, where \f$k > \frac{1}{3}\f$,
+ if \p T is a floating point type (having no exact representation
+ for \f$\frac{1}{3}\f$).
+
+ On the other hand, depending from the context, a Constraint object
+ encoding \f$3x - y \leq 1\f$ will be either upward approximated
+ (e.g., by safely ignoring it) or it will cause an exception.
+
+ In the following examples it is assumed that the type argument \p T
+ is one of the possible instances listed above and that variables
+ \c x, \c y and \c z are defined (where they are used) as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(2);
+ \endcode
+
+ \par Example 1
+ The following code builds an OS corresponding to a cube in \f$\Rset^3\f$,
+ given as a system of constraints:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x <= 3);
+ cs.insert(y >= 0);
+ cs.insert(y <= 3);
+ cs.insert(z >= 0);
+ cs.insert(z <= 3);
+ Octagonal_Shape<T> oct(cs);
+ \endcode
+ In contrast, the following code will raise an exception,
+ since constraints 7, 8, and 9 are not octagonal:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x <= 3);
+ cs.insert(y >= 0);
+ cs.insert(y <= 3);
+ cs.insert(z >= 0);
+ cs.insert(z <= 3);
+ cs.insert(x - 3*y <= 5); // (7)
+ cs.insert(x - y + z <= 5); // (8)
+ cs.insert(x + y + z <= 5); // (9)
+ Octagonal_Shape<T> oct(cs);
+ \endcode
+*/
+template <typename T>
+class Parma_Polyhedra_Library::Octagonal_Shape {
+private:
+ /*! \brief
+ The (extended) numeric type of the inhomogeneous term of
+ the inequalities defining an OS.
+ */
+#ifndef NDEBUG
+ typedef Checked_Number<T, Debug_WRD_Extended_Number_Policy> N;
+#else
+ typedef Checked_Number<T, WRD_Extended_Number_Policy> N;
+#endif
+
+public:
+
+ //! The numeric base type upon which OSs are built.
+ typedef T coefficient_type_base;
+
+ /*! \brief
+ The (extended) numeric type of the inhomogeneous term of the
+ inequalities defining an OS.
+ */
+ typedef N coefficient_type;
+
+ //! Returns the maximum space dimension that an OS can handle.
+ static dimension_type max_space_dimension();
+
+ /*! \brief
+ Returns false indicating that this domain cannot recycle constraints
+ */
+ static bool can_recycle_constraint_systems();
+
+ /*! \brief
+ Returns false indicating that this domain cannot recycle congruences
+ */
+ static bool can_recycle_congruence_systems();
+
+ //! \name Constructors, Assignment, Swap and Destructor
+ //@{
+
+ //! Builds an universe or empty OS of the specified space dimension.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the OS;
+
+ \param kind
+ Specifies whether the universe or the empty OS has to be built.
+ */
+ explicit Octagonal_Shape(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ Octagonal_Shape(const Octagonal_Shape& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a conservative, upward approximation of \p y.
+ /*!
+ The complexity argument is ignored.
+ */
+ template <typename U>
+ explicit Octagonal_Shape(const Octagonal_Shape<U>& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds an OS from the system of constraints \p cs.
+ /*!
+ The OS inherits the space dimension of \p cs.
+
+ \param cs
+ A system of octagonal constraints.
+
+ \exception std::invalid_argument
+ Thrown if \p cs contains a constraint which is not optimally supported
+ by the Octagonal shape domain.
+ */
+ explicit Octagonal_Shape(const Constraint_System& cs);
+
+ //! Builds an OS from a system of congruences.
+ /*!
+ The OS inherits the space dimension of \p cgs
+
+ \param cgs
+ A system of congruences.
+
+ \exception std::invalid_argument
+ Thrown if \p cgs contains a congruence which is not optimally supported
+ by the Octagonal shape domain.
+ */
+ explicit Octagonal_Shape(const Congruence_System& cgs);
+
+ //! Builds an OS from the system of generators \p gs.
+ /*!
+ Builds the smallest OS containing the polyhedron defined by \p gs.
+ The OS inherits the space dimension of \p gs.
+
+ \exception std::invalid_argument
+ Thrown if the system of generators is not empty but has no points.
+ */
+ explicit Octagonal_Shape(const Generator_System& gs);
+
+ //! Builds an OS from the polyhedron \p ph.
+ /*!
+ Builds an OS containing \p ph using algorithms whose complexity
+ does not exceed the one specified by \p complexity. If
+ \p complexity is \p ANY_COMPLEXITY, then the OS built is the
+ smallest one containing \p ph.
+ */
+ explicit Octagonal_Shape(const Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds an OS out of a box.
+ /*!
+ The OS inherits the space dimension of the box.
+ The built OS is the most precise OS that includes the box.
+
+ \param box
+ The box representing the OS to be built.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename Interval>
+ explicit Octagonal_Shape(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds an OS that approximates a grid.
+ /*!
+ The OS inherits the space dimension of the grid.
+ The built OS is the most precise OS that includes the grid.
+
+ \param grid
+ The grid used to build the OS.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p grid exceeds the maximum
+ allowed space dimension.
+ */
+ explicit Octagonal_Shape(const Grid& grid,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds an OS from a BD shape.
+ /*!
+ The OS inherits the space dimension of the BD shape.
+ The built OS is the most precise OS that includes the BD shape.
+
+ \param bd
+ The BD shape used to build the OS.
+
+ \param complexity
+ This argument is ignored as the algorithm used has
+ polynomial complexity.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p bd exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename U>
+ explicit Octagonal_Shape(const BD_Shape<U>& bd,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator.
+ (\p *this and \p y can be dimension-incompatible.)
+ */
+ Octagonal_Shape& operator=(const Octagonal_Shape& y);
+
+ /*! \brief
+ Swaps \p *this with octagon \p y.
+ (\p *this and \p y can be dimension-incompatible.)
+ */
+ void m_swap(Octagonal_Shape& y);
+
+ //! Destructor.
+ ~Octagonal_Shape();
+
+ //@} Constructors, Assignment, Swap and Destructor
+
+ //! \name Member Functions that Do Not Modify the Octagonal_Shape
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns \f$0\f$, if \p *this is empty; otherwise, returns the
+ \ref Affine_Independence_and_Affine_Dimension "affine dimension"
+ of \p *this.
+ */
+ dimension_type affine_dimension() const;
+
+ //! Returns the system of constraints defining \p *this.
+ Constraint_System constraints() const;
+
+ //! Returns a minimized system of constraints defining \p *this.
+ Constraint_System minimized_constraints() const;
+
+ //! Returns a system of (equality) congruences satisfied by \p *this.
+ Congruence_System congruences() const;
+
+ /*! \brief
+ Returns a minimal system of (equality) congruences
+ satisfied by \p *this with the same affine dimension as \p *this.
+ */
+ Congruence_System minimized_congruences() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool contains(const Octagonal_Shape& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool strictly_contains(const Octagonal_Shape& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool is_disjoint_from(const Octagonal_Shape& y) const;
+
+ /*! \brief
+ Returns the relations holding between \p *this and the constraint \p c.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ /*! \brief
+ Returns the relations holding between \p *this and the congruence \p cg.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cg are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ /*! \brief
+ Returns the relations holding between \p *this and the generator \p g.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ Poly_Gen_Relation relation_with(const Generator& g) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is an empty OS.
+ bool is_empty() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is a universe OS.
+ bool is_universe() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
+ bool is_discrete() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a bounded OS.
+ */
+ bool is_bounded() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a topologically closed subset of the vector space.
+ */
+ bool is_topologically_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains (at least) an integer point.
+ */
+ bool contains_integer_point() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ bool constrains(Variable var) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from above in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from below in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d
+ and \p maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value;
+
+ \param g
+ When maximization succeeds, will be assigned the point or
+ closure point where \p expr reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p g are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value;
+
+ \param g
+ When minimization succeeds, will be assigned a point or
+ closure point where \p expr reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p g are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if there exist a
+ unique value \p val such that \p *this
+ saturates the equality <CODE>expr = val</CODE>.
+
+ \param expr
+ The linear expression for which the frequency is needed;
+
+ \param freq_n
+ If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
+ Present for interface compatibility with class Grid, where
+ the \ref Grid_Frequency "frequency" can have a non-zero value;
+
+ \param freq_d
+ If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
+
+ \param val_n
+ The numerator of \p val;
+
+ \param val_d
+ The denominator of \p val;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
+ \p val_n and \p val_d are left untouched.
+ */
+ bool frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //@} Member Functions that Do Not Modify the Octagonal_Shape
+
+ //! \name Space-Dimension Preserving Member Functions that May Modify the Octagonal_Shape
+ //@{
+
+ /*! \brief
+ Adds a copy of constraint \p c to the system of constraints
+ defining \p *this.
+
+ \param c
+ The constraint to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible,
+ or \p c is not optimally supported by the OS domain.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of constraints
+ defining \p *this.
+
+ \param cs
+ The constraints that will be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible,
+ or \p cs contains a constraint which is not optimally supported
+ by the OS domain.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of constraints
+ of \p *this.
+
+ \param cs
+ The constraint system to be added to \p *this. The constraints in
+ \p cs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible,
+ or \p cs contains a constraint which is not optimally supported
+ by the OS domain.
+
+ \warning
+ The only assumption that can be made on \p cs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_constraints(Constraint_System& cs);
+
+ /*! \brief
+ Adds to \p *this a constraint equivalent to the congruence \p cg.
+
+ \param cg
+ The congruence to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible,
+ or \p cg is not optimally supported by the OS domain.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Adds to \p *this constraints equivalent to the congruences in \p cgs.
+
+ \param cgs
+ The congruences to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ or \p cgs contains a congruence which is not optimally supported
+ by the OS domain.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Adds to \p *this constraints equivalent to the congruences in \p cgs.
+
+ \param cgs
+ The congruence system to be added to \p *this. The congruences in
+ \p cgs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ or \p cgs contains a congruence which is not optimally supported
+ by the OS domain.
+
+ \warning
+ The only assumption that can be made on \p cgs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_congruences(Congruence_System& cgs);
+
+ /*! \brief
+ Uses a copy of constraint \p c to refine the system of octagonal
+ constraints defining \p *this.
+
+ \param c
+ The constraint. If it is not a octagonal constraint, it will be ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ /*! \brief
+ Uses a copy of congruence \p cg to refine the system of
+ octagonal constraints of \p *this.
+
+ \param cg
+ The congruence. If it is not a octagonal equality, it
+ will be ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ /*! \brief
+ Uses a copy of the constraints in \p cs to refine the system of
+ octagonal constraints defining \p *this.
+
+ \param cs
+ The constraint system to be used. Constraints that are not octagonal
+ are ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Uses a copy of the congruences in \p cgs to refine the system of
+ octagonal constraints defining \p *this.
+
+ \param cgs
+ The congruence system to be used. Congruences that are not octagonal
+ equalities are ignored.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Refines the system of octagonal constraints defining \p *this using
+ the constraint expressed by \p left \f$\leq\f$ \p right.
+
+ \param left
+ The linear form on intervals with floating point boundaries that
+ is at the left of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param right
+ The linear form on intervals with floating point boundaries that
+ is at the right of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \exception std::invalid_argument
+ Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
+
+ This function is used in abstract interpretation to model a filter
+ that is generated by a comparison of two expressions that are correctly
+ approximated by \p left and \p right respectively.
+ */
+ template <typename Interval_Info>
+ void refine_with_linear_form_inequality(
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right);
+
+ /*! \brief
+ Refines the system of octagonal constraints defining \p *this using
+ the constraint expressed by \p left \f$\relsym\f$ \p right, where
+ \f$\relsym\f$ is the relation symbol specified by \p relsym.
+
+ \param left
+ The linear form on intervals with floating point boundaries that
+ is at the left of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param right
+ The linear form on intervals with floating point boundaries that
+ is at the right of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param relsym
+ The relation symbol.
+
+ \exception std::invalid_argument
+ Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
+
+ \exception std::runtime_error
+ Thrown if \p relsym is not a valid relation symbol.
+
+ This function is used in abstract interpretation to model a filter
+ that is generated by a comparison of two expressions that are correctly
+ approximated by \p left and \p right respectively.
+ */
+ template <typename Interval_Info>
+ void generalized_refine_with_linear_form_inequality(
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right,
+ Relation_Symbol relsym);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ //! Assigns to \p *this the intersection of \p *this and \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void intersection_assign(const Octagonal_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this the smallest OS that contains
+ the convex union of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void upper_bound_assign(const Octagonal_Shape& y);
+
+ /*! \brief
+ If the upper bound of \p *this and \p y is exact, it is assigned
+ to \p *this and <CODE>true</CODE> is returned,
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ Implementation is based on Theorem 6.3 of \ref BHZ09b "[BHZ09b]".
+ */
+ bool upper_bound_assign_if_exact(const Octagonal_Shape& y);
+
+ /*! \brief
+ If the \e integer upper bound of \p *this and \p y is exact,
+ it is assigned to \p *this and <CODE>true</CODE> is returned;
+ otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \note
+ This operator is only available when the class template parameter
+ \c T is bound to an integer data type.
+
+ \note
+ The integer upper bound of two rational OS is the smallest
+ rational OS containing all the integral points in the two arguments.
+ In general, the result is \e not an upper bound for the two input
+ arguments, as it may cut away non-integral portions of the two
+ rational shapes.
+
+ Implementation is based on Theorem 6.8 of \ref BHZ09b "[BHZ09b]".
+ */
+ bool integer_upper_bound_assign_if_exact(const Octagonal_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this the smallest octagon containing
+ the set difference of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void difference_assign(const Octagonal_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this a \ref Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+ If \c false is returned, then the intersection is empty.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool simplify_using_context_assign(const Octagonal_Shape& y);
+
+ /*! \brief
+ Assigns to \p *this the \ref affine_relation "affine image"
+ of \p *this under the function mapping variable \p var into the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned.
+
+ \param expr
+ The numerator of the affine expression.
+
+ \param denominator
+ The denominator of the affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension of \p *this.
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ // FIXME: To be completed.
+ /*! \brief
+ Assigns to \p *this the \ref affine_form_relation "affine form image"
+ of \p *this under the function mapping variable \p var into the
+ affine expression(s) specified by \p lf.
+
+ \param var
+ The variable to which the affine expression is assigned.
+
+ \param lf
+ The linear form on intervals with floating point boundaries that
+ defines the affine expression(s). ALL of its coefficients MUST be bounded.
+
+ \exception std::invalid_argument
+ Thrown if \p lf and \p *this are dimension-incompatible or if \p var
+ is not a dimension of \p *this.
+
+ This function is used in abstract interpretation to model an assignment
+ of a value that is correctly overapproximated by \p lf to the
+ floating point variable represented by \p var.
+ */
+ template <typename Interval_Info>
+ void affine_form_image(Variable var,
+ const Linear_Form< Interval<T, Interval_Info> >& lf);
+
+ /*! \brief
+ Assigns to \p *this the \ref affine_relation "affine preimage"
+ of \p *this under the function mapping variable \p var into the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is substituted.
+
+ \param expr
+ The numerator of the affine expression.
+
+ \param denominator
+ The denominator of the affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension of \p *this.
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine transfer function"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine transfer function.
+
+ \param relsym
+ The relation symbol.
+
+ \param expr
+ The numerator of the right hand side affine expression.
+
+ \param denominator
+ The denominator of the right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension of \p *this
+ or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine transfer function"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression.
+
+ \param relsym
+ The relation symbol.
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*!
+ \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+/*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine transfer function.
+
+ \param relsym
+ The relation symbol.
+
+ \param expr
+ The numerator of the right hand side affine expression.
+
+ \param denominator
+ The denominator of the right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this
+ are dimension-incompatible or if \p var is not a dimension
+ of \p *this or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p relsym is a strict relation symbol.
+ */
+ void generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*!
+ \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void time_elapse_assign(const Octagonal_Shape& y);
+
+ /*! \brief
+ \ref Wrapping_Operator "Wraps" the specified dimensions of the
+ vector space.
+
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be wrapped.
+
+ \param w
+ The width of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param r
+ The representation of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param o
+ The overflow behavior of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param cs_p
+ Possibly null pointer to a constraint system whose variables
+ are contained in \p vars. If <CODE>*cs_p</CODE> depends on
+ variables not in \p vars, the behavior is undefined.
+ When non-null, the pointed-to constraint system is assumed to
+ represent the conditional or looping construct guard with respect
+ to which wrapping is performed. Since wrapping requires the
+ computation of upper bounds and due to non-distributivity of
+ constraint refinement over upper bounds, passing a constraint
+ system in this way can be more precise than refining the result of
+ the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
+
+ \param complexity_threshold
+ A precision parameter of the \ref Wrapping_Operator "wrapping operator":
+ higher values result in possibly improved precision.
+
+ \param wrap_individually
+ <CODE>true</CODE> if the dimensions should be wrapped individually
+ (something that results in much greater efficiency to the detriment of
+ precision).
+
+ \exception std::invalid_argument
+ Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
+ \p vars, or if \p *this is dimension-incompatible \p vars or with
+ <CODE>*cs_p</CODE>.
+ */
+ void wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p = 0,
+ unsigned complexity_threshold = 16,
+ bool wrap_individually = true);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
+
+ \param y
+ An OS that <EM>must</EM> be contained in \p *this.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void CC76_extrapolation_assign(const Octagonal_Shape& y, unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref CC76_extrapolation "CC76-extrapolation" between \p *this and \p y.
+
+ \param y
+ An OS that <EM>must</EM> be contained in \p *this.
+
+ \param first
+ An iterator that points to the first stop_point.
+
+ \param last
+ An iterator that points to the last stop_point.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ template <typename Iterator>
+ void CC76_extrapolation_assign(const Octagonal_Shape& y,
+ Iterator first, Iterator last,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref BHMZ05_widening "BHMZ05-widening" between \p *this and \p y.
+
+ \param y
+ An OS that <EM>must</EM> be contained in \p *this.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void BHMZ05_widening_assign(const Octagonal_Shape& y, unsigned* tp = 0);
+
+ //! Same as BHMZ05_widening_assign(y, tp).
+ void widening_assign(const Octagonal_Shape& y, unsigned* tp = 0);
+
+ /*! \brief
+ Improves the result of the \ref BHMZ05_widening "BHMZ05-widening"
+ computation by also enforcing those constraints in \p cs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ An OS that <EM>must</EM> be contained in \p *this.
+
+ \param cs
+ The system of constraints used to improve the widened OS.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are dimension-incompatible or
+ if there is in \p cs a strict inequality.
+ */
+ void limited_BHMZ05_extrapolation_assign(const Octagonal_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Restores from \p y the constraints of \p *this, lost by
+ \ref CC76_extrapolation "CC76-extrapolation" applications.
+
+ \param y
+ An OS that <EM>must</EM> contain \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void CC76_narrowing_assign(const Octagonal_Shape& y);
+
+ /*! \brief
+ Improves the result of the \ref CC76_extrapolation "CC76-extrapolation"
+ computation by also enforcing those constraints in \p cs that are
+ satisfied by all the points of \p *this.
+
+ \param y
+ An OS that <EM>must</EM> be contained in \p *this.
+
+ \param cs
+ The system of constraints used to improve the widened OS.
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are dimension-incompatible or
+ if \p cs contains a strict inequality.
+ */
+ void limited_CC76_extrapolation_assign(const Octagonal_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ //@} Space-Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ //! Adds \p m new dimensions and embeds the old OS into the new space.
+ /*!
+ \param m
+ The number of dimensions to add.
+
+ The new dimensions will be those having the highest indexes in the new OS,
+ which is characterized by a system of constraints in which the variables
+ running through the new dimensions are not constrained.
+ For instance, when starting from the OS \f$\cO \sseq \Rset^2\f$
+ and adding a third dimension, the result will be the OS
+ \f[
+ \bigl\{\,
+ (x, y, z)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cO
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Adds \p m new dimensions to the OS
+ and does not embed it in the new space.
+
+ \param m
+ The number of dimensions to add.
+
+ The new dimensions will be those having the highest indexes
+ in the new OS, which is characterized by a system
+ of constraints in which the variables running through
+ the new dimensions are all constrained to be equal to 0.
+ For instance, when starting from the OS \f$\cO \sseq \Rset^2\f$
+ and adding a third dimension, the result will be the OS
+ \f[
+ \bigl\{\,
+ (x, y, 0)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cO
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ /*! \brief
+ Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
+ of \p *this and \p y, taken in this order.
+
+ \exception std::length_error
+ Thrown if the concatenation would cause the vector space
+ to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void concatenate_assign(const Octagonal_Shape& y);
+
+ //! Removes all the specified dimensions.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the dimensions to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the Variable
+ objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher dimensions so that the resulting space
+ will have dimension \p new_dimension.
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimension is greater than the space dimension
+ of \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
+
+ \param pfunc
+ The partial function specifying the destiny of each dimension.
+
+ The template type parameter Partial_Function must provide
+ the following methods.
+ \code
+ bool has_empty_codomain() const
+ \endcode
+ returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty codomain (i.e., it is always undefined).
+ The <CODE>has_empty_codomain()</CODE> method will always be called
+ before the methods below. However, if
+ <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
+ of the functions below will be called.
+ \code
+ dimension_type max_in_codomain() const
+ \endcode
+ returns the maximum value that belongs to the codomain
+ of the partial function.
+ \code
+ bool maps(dimension_type i, dimension_type& j) const
+ \endcode
+ Let \f$f\f$ be the represented function and \f$k\f$ be the value
+ of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
+ assigned to \p j and <CODE>true</CODE> is returned.
+ If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
+ returned.
+
+ The result is undefined if \p pfunc does not encode a partial
+ function with the properties described in the
+ \ref Mapping_the_Dimensions_of_the_Vector_Space "specification of the mapping operator".
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref expand_space_dimension "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars.
+ Also thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are \ref fold_space_dimensions "folded"
+ into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //! Applies to \p dest the interval constraints embedded in \p *this.
+ /*!
+ \param dest
+ The object to which the constraints will be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest.
+
+ The template type parameter U must provide the following methods.
+ \code
+ dimension_type space_dimension() const
+ \endcode
+ returns the space dimension of the object.
+ \code
+ void set_empty()
+ \endcode
+ sets the object to an empty object.
+ \code
+ bool restrict_lower(dimension_type dim, const T& lb)
+ \endcode
+ restricts the object by applying the lower bound \p lb to the space
+ dimension \p dim and returns <CODE>false</CODE> if and only if the
+ object becomes empty.
+ \code
+ bool restrict_upper(dimension_type dim, const T& ub)
+ \endcode
+ restricts the object by applying the upper bound \p ub to the space
+ dimension \p dim and returns <CODE>false</CODE> if and only if the
+ object becomes empty.
+ */
+ template <typename U>
+ void export_interval_constraints(U& dest) const;
+
+ //! Refines \p store with the constraints defining \p *this.
+ /*!
+ \param store
+ The interval floating point abstract store to refine.
+ */
+ template <typename Interval_Info>
+ void refine_fp_interval_abstract_store(
+ Box< Interval<T, Interval_Info> >& store) const;
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If \p x and \p y are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ friend bool
+ operator==<T>(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
+
+ template <typename Temp, typename To, typename U>
+ friend bool Parma_Polyhedra_Library::rectilinear_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<U>& x, const Octagonal_Shape<U>& y,
+ const Rounding_Dir dir, Temp& tmp0, Temp& tmp1, Temp& tmp2);
+ template <typename Temp, typename To, typename U>
+ friend bool Parma_Polyhedra_Library::euclidean_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<U>& x, const Octagonal_Shape<U>& y,
+ const Rounding_Dir dir, Temp& tmp0, Temp& tmp1, Temp& tmp2);
+ template <typename Temp, typename To, typename U>
+ friend bool Parma_Polyhedra_Library::l_infinity_distance_assign
+ (Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<U>& x, const Octagonal_Shape<U>& y,
+ const Rounding_Dir dir, Temp& tmp0, Temp& tmp1, Temp& tmp2);
+
+private:
+ template <typename U> friend class Parma_Polyhedra_Library::Octagonal_Shape;
+ template <typename Interval> friend class Parma_Polyhedra_Library::Box;
+
+ //! The matrix that represents the octagonal shape.
+ OR_Matrix<N> matrix;
+
+ //! Dimension of the space of the octagonal shape.
+ dimension_type space_dim;
+
+ // Please, do not move the following include directive:
+ // `Og_Status_idefs.hh' must be included exactly at this point.
+ // And please do not remove the space separating `#' from `include':
+ // this ensures that the directive will not be moved during the
+ // procedure that automatically creates the library's include file
+ // (see `Makefile.am' in the `src' directory).
+#define PPL_IN_Octagonal_Shape_CLASS
+#include "Og_Status_idefs.hh"
+#undef PPL_IN_Octagonal_Shape_CLASS
+
+ //! The status flags to keep track of the internal state.
+ Status status;
+
+ //! Returns <CODE>true</CODE> if the OS is the zero-dimensional universe.
+ bool marked_zero_dim_univ() const;
+
+ //! Returns <CODE>true</CODE> if the OS is known to be empty.
+ /*!
+ The return value <CODE>false</CODE> does not necessarily
+ implies that \p *this is non-empty.
+ */
+ bool marked_empty() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if \c this->matrix is known to be
+ strongly closed.
+
+ The return value <CODE>false</CODE> does not necessarily
+ implies that \c this->matrix is not strongly closed.
+ */
+ bool marked_strongly_closed() const;
+
+ //! Turns \p *this into a zero-dimensional universe OS.
+ void set_zero_dim_univ();
+
+ //! Turns \p *this into an empty OS.
+ void set_empty();
+
+ //! Marks \p *this as strongly closed.
+ void set_strongly_closed();
+
+ //! Marks \p *this as possibly not strongly closed.
+ void reset_strongly_closed();
+
+ N& matrix_at(dimension_type i, dimension_type j);
+ const N& matrix_at(dimension_type i, dimension_type j) const;
+
+ /*! \brief
+ Returns an upper bound for \p lf according to the constraints
+ embedded in \p *this.
+
+ \p lf must be a linear form on intervals with floating point coefficients.
+ If all coefficients in \p lf are bounded, then \p result will become a
+ correct overapproximation of the value of \p lf when variables in
+ \p lf satisfy the constraints expressed by \p *this. Otherwise the
+ behavior of the method is undefined.
+ */
+ template <typename Interval_Info>
+ void linear_form_upper_bound(
+ const Linear_Form< Interval<T, Interval_Info> >& lf,
+ N& result) const;
+
+ // FIXME: this function is currently not used. Consider removing it.
+ static void interval_coefficient_upper_bound(const N& var_ub,
+ const N& minus_var_ub,
+ const N& int_ub, const N& int_lb,
+ N& result);
+
+ /*! \brief
+ Uses the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be added. Non-octagonal constraints are ignored.
+
+ \warning
+ If \p c and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Constraint& c);
+
+ /*! \brief
+ Uses the congruence \p cg to refine \p *this.
+
+ \param cg
+ The congruence to be added.
+ Nontrivial proper congruences are ignored.
+ Non-octagonal equalities are ignored.
+
+ \warning
+ If \p cg and \p *this are dimension-incompatible,
+ the behavior is undefined.
+ */
+ void refine_no_check(const Congruence& cg);
+
+ //! Adds the constraint <CODE>matrix[i][j] <= k</CODE>.
+ void add_octagonal_constraint(dimension_type i,
+ dimension_type j,
+ const N& k);
+
+ //! Adds the constraint <CODE>matrix[i][j] <= numer/denom</CODE>.
+ void add_octagonal_constraint(dimension_type i,
+ dimension_type j,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom);
+
+ /*! \brief
+ Adds to the Octagonal_Shape the constraint
+ \f$\mathrm{var} \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$.
+
+ Note that the coefficient of \p var in \p expr is null.
+ */
+ void refine(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ //! Removes all the constraints on variable \p v_id.
+ void forget_all_octagonal_constraints(dimension_type v_id);
+
+ //! Removes all binary constraints on variable \p v_id.
+ void forget_binary_octagonal_constraints(dimension_type v_id);
+
+ //! An helper function for the computation of affine relations.
+ /*!
+ For each variable index \c u_id (less than or equal to \p last_id
+ and different from \p v_id), deduce constraints of the form
+ <CODE>v - u \<= k</CODE> and <CODE>v + u \<= k</CODE>,
+ starting from \p ub_v, which is an upper bound for \c v
+ computed according to \p sc_expr and \p sc_denom.
+
+ Strong-closure will be able to deduce the constraints
+ <CODE>v - u \<= ub_v - lb_u</CODE> and <CODE>v + u \<= ub_v + ub_u</CODE>.
+ We can be more precise if variable \c u played an active role in the
+ computation of the upper bound for \c v.
+
+ Namely, if the corresponding coefficient
+ <CODE>q == sc_expr[u]/sc_denom</CODE> of \c u in \p sc_expr
+ is greater than zero, we can improve the bound for <CODE>v - u</CODE>.
+ In particular:
+ - if <CODE>q \>= 1</CODE>, then <CODE>v - u \<= ub_v - ub_u</CODE>;
+ - if <CODE>0 \< q \< 1</CODE>, then
+ <CODE>v - u \<= ub_v - (q*ub_u + (1-q)*lb_u)</CODE>.
+
+ Conversely, if \c q is less than zero, we can improve the bound for
+ <CODE>v + u</CODE>. In particular:
+ - if <CODE>q \<= -1</CODE>, then <CODE>v + u \<= ub_v + lb_u</CODE>;
+ - if <CODE>-1 \< q \< 0</CODE>, then
+ <CODE>v + u \<= ub_v + ((-q)*lb_u + (1+q)*ub_u)</CODE>.
+ */
+ void deduce_v_pm_u_bounds(dimension_type v_id,
+ dimension_type last_id,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& ub_v);
+
+ //! An helper function for the computation of affine relations.
+ /*!
+ For each variable index \c u_id (less than or equal to \p last_id
+ and different from \p v_id), deduce constraints of the form
+ <CODE>-v + u \<= k</CODE> and <CODE>-v - u \<= k</CODE>,
+ starting from \p minus_lb_v, which is the negation of a lower bound
+ for \c v computed according to \p sc_expr and \p sc_denom.
+
+ Strong-closure will be able to deduce the constraints
+ <CODE>-v - u \<= -lb_v - lb_u</CODE> and
+ <CODE>-v + u \<= -lb_v + ub_u</CODE>.
+ We can be more precise if variable \c u played an active role in the
+ computation of (the negation of) the lower bound for \c v.
+
+ Namely, if the corresponding coefficient
+ <CODE>q == sc_expr[u]/sc_denom</CODE> of \c u in \p sc_expr
+ is greater than zero, we can improve the bound for <CODE>-v + u</CODE>.
+ In particular:
+ - if <CODE>q \>= 1</CODE>, then <CODE>-v + u \<= -lb_v + lb_u</CODE>;
+ - if <CODE>0 \< q \< 1</CODE>, then
+ <CODE>-v + u \<= -lb_v + (q*lb_u + (1-q)*ub_u)</CODE>.
+
+ Conversely, if \c q is less than zero, we can improve the bound for
+ <CODE>-v - u</CODE>. In particular:
+ - if <CODE>q \<= -1</CODE>, then <CODE>-v - u \<= -lb_v - ub_u</CODE>;
+ - if <CODE>-1 \< q \< 0</CODE>, then
+ <CODE>-v - u \<= -lb_v - ((-q)*ub_u + (1+q)*lb_u)</CODE>.
+ */
+ void deduce_minus_v_pm_u_bounds(dimension_type v_id,
+ dimension_type last_id,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& minus_lb_v);
+
+ /*! \brief
+ Adds to \p limiting_octagon the octagonal differences in \p cs
+ that are satisfied by \p *this.
+ */
+ void get_limiting_octagon(const Constraint_System& cs,
+ Octagonal_Shape& limiting_octagon) const;
+ //! Compute the (zero-equivalence classes) successor relation.
+ /*!
+ It is assumed that the octagon is not empty and strongly closed.
+ */
+ void compute_successors(std::vector<dimension_type>& successor) const;
+
+ //! Compute the leaders of zero-equivalence classes.
+ /*!
+ It is assumed that the OS is not empty and strongly closed.
+ */
+ void compute_leaders(std::vector<dimension_type>& successor,
+ std::vector<dimension_type>& no_sing_leaders,
+ bool& exist_sing_class,
+ dimension_type& sing_leader) const;
+
+ //! Compute the leaders of zero-equivalence classes.
+ /*!
+ It is assumed that the OS is not empty and strongly closed.
+ */
+ void compute_leaders(std::vector<dimension_type>& leaders) const;
+
+ /*! \brief
+ Stores into \p non_redundant information about the matrix entries
+ that are non-redundant (i.e., they will occur in the strongly
+ reduced matrix).
+
+ It is assumed that the OS is not empty and strongly closed;
+ moreover, argument \p non_redundant is assumed to be empty.
+ */
+ void non_redundant_matrix_entries(std::vector<Bit_Row>& non_redundant) const;
+
+ //! Removes the redundant constraints from \c this->matrix.
+ void strong_reduction_assign() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \c this->matrix
+ is strongly reduced.
+ */
+ bool is_strongly_reduced() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if in the octagon taken two at a time
+ unary constraints, there is also the constraint that represent their sum.
+ */
+ bool is_strong_coherent() const;
+
+ bool tight_coherence_would_make_empty() const;
+
+ //! Assigns to \c this->matrix its strong closure.
+ /*!
+ Strong closure is a necessary condition for the precision and/or
+ the correctness of many methods. It explicitly records into \c matrix
+ those constraints that are implicitly obtainable by the other ones,
+ therefore obtaining a canonical representation for the OS.
+ */
+ void strong_closure_assign() const;
+
+ //! Applies the strong-coherence step to \c this->matrix.
+ void strong_coherence_assign();
+
+ //! Assigns to \c this->matrix its tight closure.
+ /*!
+ \note
+ This is \e not marked as a <code>const</code> method,
+ as it may modify the rational-valued geometric shape by cutting away
+ non-integral points. The method is only available if the template
+ parameter \c T is bound to an integer data type.
+ */
+ void tight_closure_assign();
+
+ /*! \brief
+ Incrementally computes strong closure, assuming that only
+ constraints affecting variable \p var need to be considered.
+
+ \note
+ It is assumed that \c *this, which was strongly closed, has only been
+ modified by adding constraints affecting variable \p var. If this
+ assumption is not satisfied, i.e., if a non-redundant constraint not
+ affecting variable \p var has been added, the behavior is undefined.
+ Worst-case complexity is \f$O(n^2)\f$.
+ */
+ void incremental_strong_closure_assign(Variable var) const;
+
+ //! Checks if and how \p expr is bounded in \p *this.
+ /*!
+ Returns <CODE>true</CODE> if and only if \p from_above is
+ <CODE>true</CODE> and \p expr is bounded from above in \p *this,
+ or \p from_above is <CODE>false</CODE> and \p expr is bounded
+ from below in \p *this.
+
+ \param expr
+ The linear expression to test;
+
+ \param from_above
+ <CODE>true</CODE> if and only if the boundedness of interest is
+ "from above".
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds(const Linear_Expression& expr, bool from_above) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p
+ *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p * this;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d and
+ \p included are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p
+ *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p * this;
+
+ \param g
+ When maximization or minimization succeeds, will be assigned
+ a point or closure point where \p expr reaches the
+ corresponding extremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p g are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator& g) const;
+
+ void drop_some_non_integer_points_helper(N& elem);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators
+ ::operator<<<>(std::ostream& s, const Octagonal_Shape<T>& c);
+
+ //! \name Exception Throwers
+ //@{
+ void throw_dimension_incompatible(const char* method,
+ const Octagonal_Shape& y) const;
+
+ void throw_dimension_incompatible(const char* method,
+ dimension_type required_dim) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Constraint& c) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Congruence& cg) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const Generator& g) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const;
+
+ template <typename C>
+ void throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<C>& lf) const;
+
+ static void throw_constraint_incompatible(const char* method);
+
+ static void throw_expression_too_complex(const char* method,
+ const Linear_Expression& le);
+
+ static void throw_invalid_argument(const char* method, const char* reason);
+ //@} // Exception Throwers
+};
+
+#include "Og_Status_inlines.hh"
+#include "Octagonal_Shape_inlines.hh"
+#include "Octagonal_Shape_templates.hh"
+
+#endif // !defined(PPL_Octagonal_Shape_defs_hh)
diff --git a/src/Octagonal_Shape_inlines.hh b/src/Octagonal_Shape_inlines.hh
new file mode 100644
index 0000000..361b56b
--- /dev/null
+++ b/src/Octagonal_Shape_inlines.hh
@@ -0,0 +1,892 @@
+/* Octagonal_Shape class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Octagonal_Shape_inlines_hh
+#define PPL_Octagonal_Shape_inlines_hh 1
+
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "C_Polyhedron_defs.hh"
+#include "Grid_defs.hh"
+#include "BD_Shape_defs.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "wrap_assign.hh"
+#include "assert.hh"
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Octagonal_Shapes {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the index coherent to \p i.
+/*! \relates Parma_Polyhedra_Library::Octagonal_Shape */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+inline dimension_type
+coherent_index(const dimension_type i) {
+ return (i % 2 != 0) ? (i-1) : (i+1);
+}
+
+} // namespace Octagonal_Shapes
+
+} // namespace Implementation
+
+template <typename T>
+inline dimension_type
+Octagonal_Shape<T>::max_space_dimension() {
+ return OR_Matrix<N>::max_num_rows()/2;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::marked_zero_dim_univ() const {
+ return status.test_zero_dim_univ();
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::marked_strongly_closed() const {
+ return status.test_strongly_closed();
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::marked_empty() const {
+ return status.test_empty();
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::set_zero_dim_univ() {
+ status.set_zero_dim_univ();
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::set_empty() {
+ status.set_empty();
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::set_strongly_closed() {
+ status.set_strongly_closed();
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::reset_strongly_closed() {
+ status.reset_strongly_closed();
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const dimension_type num_dimensions,
+ const Degenerate_Element kind)
+ : matrix(num_dimensions), space_dim(num_dimensions), status() {
+ if (kind == EMPTY)
+ set_empty();
+ else if (num_dimensions > 0)
+ // A (non zero-dim) universe octagon is strongly closed.
+ set_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const Octagonal_Shape& y, Complexity_Class)
+ : matrix(y.matrix), space_dim(y.space_dim), status(y.status) {
+}
+
+template <typename T>
+template <typename U>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const Octagonal_Shape<U>& y,
+ Complexity_Class)
+ // For maximum precision, enforce shortest-path closure
+ // before copying the DB matrix.
+ : matrix((y.strong_closure_assign(), y.matrix)),
+ space_dim(y.space_dim),
+ status() {
+ // TODO: handle flags properly, possibly taking special cases into account.
+ if (y.marked_empty())
+ set_empty();
+ else if (y.marked_zero_dim_univ())
+ set_zero_dim_univ();
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const Constraint_System& cs)
+ : matrix(cs.space_dimension()),
+ space_dim(cs.space_dimension()),
+ status() {
+ if (cs.space_dimension() > 0)
+ // A (non zero-dim) universe octagon is strongly closed.
+ set_strongly_closed();
+ add_constraints(cs);
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const Congruence_System& cgs)
+ : matrix(cgs.space_dimension()),
+ space_dim(cgs.space_dimension()),
+ status() {
+ if (cgs.space_dimension() > 0)
+ // A (non zero-dim) universe octagon is strongly closed.
+ set_strongly_closed();
+ add_congruences(cgs);
+}
+
+template <typename T>
+template <typename Interval>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const Box<Interval>& box,
+ Complexity_Class)
+ : matrix(box.space_dimension()),
+ space_dim(box.space_dimension()),
+ status() {
+ // Check for emptiness for maximum precision.
+ if (box.is_empty())
+ set_empty();
+ else if (box.space_dimension() > 0) {
+ // A (non zero-dim) universe OS is strongly closed.
+ set_strongly_closed();
+ refine_with_constraints(box.constraints());
+ }
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const Grid& grid,
+ Complexity_Class)
+ : matrix(grid.space_dimension()),
+ space_dim(grid.space_dimension()),
+ status() {
+ if (grid.space_dimension() > 0)
+ // A (non zero-dim) universe OS is strongly closed.
+ set_strongly_closed();
+ // Taking minimized congruences ensures maximum precision.
+ refine_with_congruences(grid.minimized_congruences());
+}
+
+template <typename T>
+template <typename U>
+inline
+Octagonal_Shape<T>::Octagonal_Shape(const BD_Shape<U>& bd,
+ Complexity_Class)
+ : matrix(bd.space_dimension()),
+ space_dim(bd.space_dimension()),
+ status() {
+ // Check for emptiness for maximum precision.
+ if (bd.is_empty())
+ set_empty();
+ else if (bd.space_dimension() > 0) {
+ // A (non zero-dim) universe OS is strongly closed.
+ set_strongly_closed();
+ refine_with_constraints(bd.constraints());
+ }
+}
+
+template <typename T>
+inline Congruence_System
+Octagonal_Shape<T>::congruences() const {
+ return minimized_congruences();
+}
+
+template <typename T>
+inline Octagonal_Shape<T>&
+Octagonal_Shape<T>::operator=(const Octagonal_Shape& y) {
+ matrix = y.matrix;
+ space_dim = y.space_dim;
+ status = y.status;
+ return *this;
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::~Octagonal_Shape() {
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::m_swap(Octagonal_Shape& y) {
+ using std::swap;
+ swap(matrix, y.matrix);
+ swap(space_dim, y.space_dim);
+ swap(status, y.status);
+}
+
+template <typename T>
+inline dimension_type
+Octagonal_Shape<T>::space_dimension() const {
+ return space_dim;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::is_discrete() const {
+ return affine_dimension() == 0;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::is_empty() const {
+ strong_closure_assign();
+ return marked_empty();
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::bounds_from_above(const Linear_Expression& expr) const {
+ return bounds(expr, true);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::bounds_from_below(const Linear_Expression& expr) const {
+ return bounds(expr, false);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
+ return max_min(expr, true, sup_n, sup_d, maximum);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum,
+ Generator& g) const {
+ return max_min(expr, true, sup_n, sup_d, maximum, g);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
+ return max_min(expr, false, inf_n, inf_d, minimum);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum,
+ Generator& g) const {
+ return max_min(expr, false, inf_n, inf_d, minimum, g);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::is_topologically_closed() const {
+ return true;
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::topological_closure_assign() {
+}
+
+/*! \relates Octagonal_Shape */
+template <typename T>
+inline bool
+operator==(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y) {
+ if (x.space_dim != y.space_dim)
+ // Dimension-incompatible OSs are different.
+ return false;
+
+ // Zero-dim OSs are equal if and only if they are both empty or universe.
+ if (x.space_dim == 0) {
+ if (x.marked_empty())
+ return y.marked_empty();
+ else
+ return !y.marked_empty();
+ }
+
+ x.strong_closure_assign();
+ y.strong_closure_assign();
+ // If one of two octagons is empty, then they are equal if and only if
+ // the other octagon is empty too.
+ if (x.marked_empty())
+ return y.marked_empty();
+ if (y.marked_empty())
+ return false;
+ // Strong closure is a canonical form.
+ return x.matrix == y.matrix;
+}
+
+/*! \relates Octagonal_Shape */
+template <typename T>
+inline bool
+operator!=(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y) {
+ return !(x == y);
+}
+
+template <typename T>
+inline const typename Octagonal_Shape<T>::coefficient_type&
+Octagonal_Shape<T>::matrix_at(const dimension_type i,
+ const dimension_type j) const {
+ PPL_ASSERT(i < matrix.num_rows() && j < matrix.num_rows());
+ using namespace Implementation::Octagonal_Shapes;
+ return (j < matrix.row_size(i))
+ ? matrix[i][j]
+ : matrix[coherent_index(j)][coherent_index(i)];
+}
+
+template <typename T>
+inline typename Octagonal_Shape<T>::coefficient_type&
+Octagonal_Shape<T>::matrix_at(const dimension_type i,
+ const dimension_type j) {
+ PPL_ASSERT(i < matrix.num_rows() && j < matrix.num_rows());
+ using namespace Implementation::Octagonal_Shapes;
+ return (j < matrix.row_size(i))
+ ? matrix[i][j]
+ : matrix[coherent_index(j)][coherent_index(i)];
+}
+
+template <typename T>
+inline Constraint_System
+Octagonal_Shape<T>::minimized_constraints() const {
+ strong_reduction_assign();
+ return constraints();
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::add_octagonal_constraint(const dimension_type i,
+ const dimension_type j,
+ const N& k) {
+ // Private method: the caller has to ensure the following.
+#ifndef NDEBUG
+ PPL_ASSERT(i < 2*space_dim && j < 2*space_dim && i != j);
+ typename OR_Matrix<N>::row_iterator m_i = matrix.row_begin() + i;
+ PPL_ASSERT(j < m_i.row_size());
+#endif
+ N& r_i_j = matrix[i][j];
+ if (r_i_j > k) {
+ r_i_j = k;
+ if (marked_strongly_closed())
+ reset_strongly_closed();
+ }
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>
+::add_octagonal_constraint(const dimension_type i,
+ const dimension_type j,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
+#ifndef NDEBUG
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(i < 2*space_dim && j < 2*space_dim && i != j);
+ typename OR_Matrix<N>::row_iterator m_i = matrix.row_begin() + i;
+ PPL_ASSERT(j < m_i.row_size());
+ PPL_ASSERT(denom != 0);
+#endif
+ PPL_DIRTY_TEMP(N, k);
+ div_round_up(k, numer, denom);
+ add_octagonal_constraint(i, j, k);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::add_constraints(const Constraint_System& cs) {
+ for (Constraint_System::const_iterator i = cs.begin(),
+ i_end = cs.end(); i != i_end; ++i)
+ add_constraint(*i);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::add_recycled_constraints(Constraint_System& cs) {
+ add_constraints(cs);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::add_recycled_congruences(Congruence_System& cgs) {
+ add_congruences(cgs);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::add_congruences(const Congruence_System& cgs) {
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); i != cgs_end; ++i)
+ add_congruence(*i);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::refine_with_constraint(const Constraint& c) {
+ // Dimension-compatibility check.
+ if (c.space_dimension() > space_dimension())
+ throw_dimension_incompatible("refine_with_constraint(c)", c);
+
+ if (!marked_empty())
+ refine_no_check(c);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::refine_with_constraints(const Constraint_System& cs) {
+ // Dimension-compatibility check.
+ if (cs.space_dimension() > space_dimension())
+ throw_invalid_argument("refine_with_constraints(cs)",
+ "cs and *this are space-dimension incompatible");
+
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ refine_no_check(*i);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::refine_with_congruence(const Congruence& cg) {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ // Dimension-compatibility check.
+ if (cg_space_dim > space_dimension())
+ throw_dimension_incompatible("refine_with_congruence(cg)", cg);
+
+ if (!marked_empty())
+ refine_no_check(cg);
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::refine_with_congruences(const Congruence_System& cgs) {
+ // Dimension-compatibility check.
+ if (cgs.space_dimension() > space_dimension())
+ throw_invalid_argument("refine_with_congruences(cgs)",
+ "cgs and *this are space-dimension incompatible");
+
+ for (Congruence_System::const_iterator i = cgs.begin(),
+ cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
+ refine_no_check(*i);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::refine_no_check(const Congruence& cg) {
+ PPL_ASSERT(!marked_empty());
+ PPL_ASSERT(cg.space_dimension() <= space_dimension());
+
+ if (cg.is_proper_congruence()) {
+ if (cg.is_inconsistent())
+ set_empty();
+ // Other proper congruences are just ignored.
+ return;
+ }
+
+ PPL_ASSERT(cg.is_equality());
+ Constraint c(cg);
+ refine_no_check(c);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::can_recycle_constraint_systems() {
+ return false;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::can_recycle_congruence_systems() {
+ return false;
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>
+::remove_higher_space_dimensions(const dimension_type new_dimension) {
+ // Dimension-compatibility check.
+ if (new_dimension > space_dim)
+ throw_dimension_incompatible("remove_higher_space_dimension(nd)",
+ new_dimension);
+ // The removal of no dimensions from any octagon is a no-op.
+ // Note that this case also captures the only legal removal of
+ // dimensions from an octagon in a 0-dim space.
+ if (new_dimension == space_dim) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ strong_closure_assign();
+ matrix.shrink(new_dimension);
+ // When we remove all dimensions from a non-empty octagon,
+ // we obtain the zero-dimensional universe octagon.
+ if (new_dimension == 0 && !marked_empty())
+ set_zero_dim_univ();
+ space_dim = new_dimension;
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p,
+ unsigned complexity_threshold,
+ bool wrap_individually) {
+ Implementation::wrap_assign(*this,
+ vars, w, r, o, cs_p,
+ complexity_threshold, wrap_individually,
+ "Octagonal_Shape");
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::widening_assign(const Octagonal_Shape& y, unsigned* tp) {
+ BHMZ05_widening_assign(y, tp);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::CC76_extrapolation_assign(const Octagonal_Shape& y,
+ unsigned* tp) {
+ static N stop_points[] = {
+ N(-2, ROUND_UP),
+ N(-1, ROUND_UP),
+ N( 0, ROUND_UP),
+ N( 1, ROUND_UP),
+ N( 2, ROUND_UP)
+ };
+ CC76_extrapolation_assign(y,
+ stop_points,
+ stop_points
+ + sizeof(stop_points)/sizeof(stop_points[0]),
+ tp);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::time_elapse_assign(const Octagonal_Shape& y) {
+ // Dimension-compatibility check.
+ if (space_dimension() != y.space_dimension())
+ throw_dimension_incompatible("time_elapse_assign(y)", y);
+ // Compute time-elapse on polyhedra.
+ // TODO: provide a direct implementation.
+ C_Polyhedron ph_x(constraints());
+ C_Polyhedron ph_y(y.constraints());
+ ph_x.time_elapse_assign(ph_y);
+ Octagonal_Shape<T> x(ph_x);
+ m_swap(x);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::strictly_contains(const Octagonal_Shape& y) const {
+ const Octagonal_Shape<T>& x = *this;
+ return x.contains(y) && !y.contains(x);
+}
+
+template <typename T>
+template <typename Interval_Info>
+inline void
+Octagonal_Shape<T>::generalized_refine_with_linear_form_inequality(
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right,
+ const Relation_Symbol relsym) {
+ switch (relsym) {
+ case EQUAL:
+ // TODO: see if we can handle this case more efficiently.
+ refine_with_linear_form_inequality(left, right);
+ refine_with_linear_form_inequality(right, left);
+ break;
+ case LESS_THAN:
+ case LESS_OR_EQUAL:
+ refine_with_linear_form_inequality(left, right);
+ break;
+ case GREATER_THAN:
+ case GREATER_OR_EQUAL:
+ refine_with_linear_form_inequality(right, left);
+ break;
+ case NOT_EQUAL:
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+}
+
+template <typename T>
+template <typename Interval_Info>
+inline void
+Octagonal_Shape<T>::
+refine_fp_interval_abstract_store(
+ Box< Interval<T, Interval_Info> >& store) const {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "Octagonal_Shape<T>::refine_fp_interval_abstract_store:"
+ " T not a floating point type.");
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+ store.intersection_assign(Box<FP_Interval_Type>(*this));
+
+}
+
+/*! \relates Octagonal_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ // Dimension-compatibility check.
+ if (x.space_dim != y.space_dim)
+ return false;
+
+ // Zero-dim OSs are equal if and only if they are both empty or universe.
+ if (x.space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires strong closure.
+ x.strong_closure_assign();
+ y.strong_closure_assign();
+
+ // If one of two OSs is empty, then they are equal if and only if
+ // the other OS is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ return rectilinear_distance_assign(r, x.matrix, y.matrix, dir,
+ tmp0, tmp1, tmp2);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return rectilinear_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename To, typename T>
+inline bool
+rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
+ return rectilinear_distance_assign<To, To, T>(r, x, y, dir);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ // Dimension-compatibility check.
+ if (x.space_dim != y.space_dim)
+ return false;
+
+ // Zero-dim OSs are equal if and only if they are both empty or universe.
+ if (x.space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires strong closure.
+ x.strong_closure_assign();
+ y.strong_closure_assign();
+
+ // If one of two OSs is empty, then they are equal if and only if
+ // the other OS is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ return euclidean_distance_assign(r, x.matrix, y.matrix, dir,
+ tmp0, tmp1, tmp2);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return euclidean_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename To, typename T>
+inline bool
+euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
+ return euclidean_distance_assign<To, To, T>(r, x, y, dir);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
+ // Dimension-compatibility check.
+ if (x.space_dim != y.space_dim)
+ return false;
+
+ // Zero-dim OSs are equal if and only if they are both empty or universe.
+ if (x.space_dim == 0) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ // The distance computation requires strong closure.
+ x.strong_closure_assign();
+ y.strong_closure_assign();
+
+ // If one of two OSs is empty, then they are equal if and only if
+ // the other OS is empty too.
+ if (x.marked_empty() || y.marked_empty()) {
+ if (x.marked_empty() == y.marked_empty())
+ assign_r(r, 0, ROUND_NOT_NEEDED);
+ else
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
+
+ return l_infinity_distance_assign(r, x.matrix, y.matrix, dir,
+ tmp0, tmp1, tmp2);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename Temp, typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
+ typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
+ PPL_DIRTY_TEMP(Checked_Temp, tmp0);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp1);
+ PPL_DIRTY_TEMP(Checked_Temp, tmp2);
+ return l_infinity_distance_assign(r, x, y, dir, tmp0, tmp1, tmp2);
+}
+
+/*! \relates Octagonal_Shape */
+template <typename To, typename T>
+inline bool
+l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
+ return l_infinity_distance_assign<To, To, T>(r, x, y, dir);
+}
+
+template <typename T>
+inline memory_size_type
+Octagonal_Shape<T>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename T>
+inline int32_t
+Octagonal_Shape<T>::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::drop_some_non_integer_points_helper(N& elem) {
+ if (!is_integer(elem)) {
+#ifndef NDEBUG
+ Result r =
+#endif
+ floor_assign_r(elem, elem, ROUND_DOWN);
+ PPL_ASSERT(r == V_EQ);
+ reset_strongly_closed();
+ }
+}
+
+/*! \relates Octagonal_Shape */
+template <typename T>
+inline void
+swap(Octagonal_Shape<T>& x, Octagonal_Shape<T>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Octagonal_Shape_inlines_hh)
diff --git a/src/Octagonal_Shape_templates.hh b/src/Octagonal_Shape_templates.hh
new file mode 100644
index 0000000..f4e5ae9
--- /dev/null
+++ b/src/Octagonal_Shape_templates.hh
@@ -0,0 +1,8115 @@
+/* Octagonal_Shape class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Octagonal_Shape_templates_hh
+#define PPL_Octagonal_Shape_templates_hh 1
+
+#include "Generator_System_defs.hh"
+#include "Generator_System_inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
+#include "Interval_defs.hh"
+#include "Linear_Form_defs.hh"
+#include "meta_programming.hh"
+#include "assert.hh"
+#include <vector>
+#include <deque>
+#include <string>
+#include <iostream>
+#include <sstream>
+#include <stdexcept>
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+Octagonal_Shape<T>::Octagonal_Shape(const Polyhedron& ph,
+ const Complexity_Class complexity)
+ : matrix(0), space_dim(0), status() {
+ const dimension_type num_dimensions = ph.space_dimension();
+
+ if (ph.marked_empty()) {
+ *this = Octagonal_Shape(num_dimensions, EMPTY);
+ return;
+ }
+
+ if (num_dimensions == 0) {
+ *this = Octagonal_Shape(num_dimensions, UNIVERSE);
+ return;
+ }
+
+ // Build from generators when we do not care about complexity
+ // or when the process has polynomial complexity.
+ if (complexity == ANY_COMPLEXITY
+ || (!ph.has_pending_constraints() && ph.generators_are_up_to_date())) {
+ *this = Octagonal_Shape(ph.generators());
+ return;
+ }
+
+ // We cannot afford exponential complexity, we do not have a complete set
+ // of generators for the polyhedron, and the polyhedron is not trivially
+ // empty or zero-dimensional. Constraints, however, are up to date.
+ PPL_ASSERT(ph.constraints_are_up_to_date());
+
+ if (!ph.has_something_pending() && ph.constraints_are_minimized()) {
+ // If the constraint system of the polyhedron is minimized,
+ // the test `is_universe()' has polynomial complexity.
+ if (ph.is_universe()) {
+ *this = Octagonal_Shape(num_dimensions, UNIVERSE);
+ return;
+ }
+ }
+
+ // See if there is at least one inconsistent constraint in `ph.con_sys'.
+ for (Constraint_System::const_iterator i = ph.con_sys.begin(),
+ cs_end = ph.con_sys.end(); i != cs_end; ++i)
+ if (i->is_inconsistent()) {
+ *this = Octagonal_Shape(num_dimensions, EMPTY);
+ return;
+ }
+
+ // If `complexity' allows it, use simplex to derive the exact (modulo
+ // the fact that our OSs are topologically closed) variable bounds.
+ if (complexity == SIMPLEX_COMPLEXITY) {
+ MIP_Problem lp(num_dimensions);
+ lp.set_optimization_mode(MAXIMIZATION);
+
+ const Constraint_System& ph_cs = ph.constraints();
+ if (!ph_cs.has_strict_inequalities())
+ lp.add_constraints(ph_cs);
+ else
+ // Adding to `lp' a topologically closed version of `ph_cs'.
+ for (Constraint_System::const_iterator i = ph_cs.begin(),
+ ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_strict_inequality()) {
+ Linear_Expression expr(c.expression());
+ lp.add_constraint(expr >= 0);
+ }
+ else
+ lp.add_constraint(c);
+ }
+
+ // Check for unsatisfiability.
+ if (!lp.is_satisfiable()) {
+ *this = Octagonal_Shape<T>(num_dimensions, EMPTY);
+ return;
+ }
+
+ // Start with a universe OS that will be refined by the simplex.
+ *this = Octagonal_Shape<T>(num_dimensions, UNIVERSE);
+ // Get all the upper bounds.
+ Generator g(point());
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ for (dimension_type i = 0; i < num_dimensions; ++i) {
+ Variable x(i);
+ // Evaluate optimal upper bound for `x <= ub'.
+ lp.set_objective_function(x);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ numer *= 2;
+ div_round_up(matrix[2*i + 1][2*i], numer, denom);
+ }
+ // Evaluate optimal upper bounds for `x + y <= ub'.
+ for (dimension_type j = 0; j < i; ++j) {
+ Variable y(j);
+ lp.set_objective_function(x + y);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(matrix[2*i + 1][2*j], numer, denom);
+ }
+ }
+ // Evaluate optimal upper bound for `x - y <= ub'.
+ for (dimension_type j = 0; j < num_dimensions; ++j) {
+ if (i == j)
+ continue;
+ Variable y(j);
+ lp.set_objective_function(x - y);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(((i < j) ?
+ matrix[2*j][2*i]
+ : matrix[2*i + 1][2*j + 1]),
+ numer, denom);
+ }
+ }
+ // Evaluate optimal upper bound for `y - x <= ub'.
+ for (dimension_type j = 0; j < num_dimensions; ++j) {
+ if (i == j)
+ continue;
+ Variable y(j);
+ lp.set_objective_function(x - y);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(((i < j)
+ ? matrix[2*j][2*i]
+ : matrix[2*i + 1][2*j + 1]),
+ numer, denom);
+ }
+ }
+ // Evaluate optimal upper bound for `-x - y <= ub'.
+ for (dimension_type j = 0; j < i; ++j) {
+ Variable y(j);
+ lp.set_objective_function(-x - y);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ div_round_up(matrix[2*i][2*j + 1], numer, denom);
+ }
+ }
+ // Evaluate optimal upper bound for `-x <= ub'.
+ lp.set_objective_function(-x);
+ if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, numer, denom);
+ numer *= 2;
+ div_round_up(matrix[2*i][2*i + 1], numer, denom);
+ }
+ }
+ set_strongly_closed();
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Extract easy-to-find bounds from constraints.
+ PPL_ASSERT(complexity == POLYNOMIAL_COMPLEXITY);
+ *this = Octagonal_Shape(num_dimensions, UNIVERSE);
+ refine_with_constraints(ph.constraints());
+}
+
+template <typename T>
+Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
+ : matrix(gs.space_dimension()),
+ space_dim(gs.space_dimension()),
+ status() {
+ const Generator_System::const_iterator gs_begin = gs.begin();
+ const Generator_System::const_iterator gs_end = gs.end();
+ if (gs_begin == gs_end) {
+ // An empty generator system defines the empty polyhedron.
+ set_empty();
+ return;
+ }
+
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typename OR_Matrix<N>::row_iterator mat_begin = matrix.row_begin();
+
+ PPL_DIRTY_TEMP(N, tmp);
+ bool mat_initialized = false;
+ bool point_seen = false;
+ // Going through all the points and closure points.
+ for (Generator_System::const_iterator k = gs_begin; k != gs_end; ++k) {
+ const Generator& g = *k;
+ switch (g.type()) {
+ case Generator::POINT:
+ point_seen = true;
+ // Intentionally fall through.
+ case Generator::CLOSURE_POINT:
+ if (!mat_initialized) {
+ // When handling the first (closure) point, we initialize the matrix.
+ mat_initialized = true;
+ const Coefficient& d = g.divisor();
+ // TODO: This can be optimized more, if needed, exploiting the
+ // (possible) sparseness of g. Also consider if OR_Matrix should be
+ // sparse, too.
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ const Coefficient& g_i = g.coefficient(Variable(i));
+ const dimension_type di = 2*i;
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
+ for (dimension_type j = 0; j < i; ++j) {
+ const Coefficient& g_j = g.coefficient(Variable(j));
+ const dimension_type dj = 2*j;
+ // Set for any point the hyperplanes passing in the point
+ // and having the octagonal gradient.
+ // Let be P = [P_1, P_2, ..., P_n] point.
+ // Hyperplanes: X_i - X_j = P_i - P_j.
+ div_round_up(x_i[dj], g_j - g_i, d);
+ div_round_up(x_ii[dj + 1], g_i - g_j, d);
+ // Hyperplanes: X_i + X_j = P_i + P_j.
+ div_round_up(x_i[dj + 1], -g_j - g_i, d);
+ div_round_up(x_ii[dj], g_i + g_j, d);
+ }
+ // Hyperplanes: X_i = P_i.
+ div_round_up(x_i[di + 1], -g_i - g_i, d);
+ div_round_up(x_ii[di], g_i + g_i, d);
+ }
+ }
+ else {
+ // This is not the first point: the matrix already contains
+ // valid values and we must compute maxima.
+ const Coefficient& d = g.divisor();
+ // TODO: This can be optimized more, if needed, exploiting the
+ // (possible) sparseness of g. Also consider if OR_Matrix should be
+ // sparse, too.
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ const Coefficient& g_i = g.coefficient(Variable(i));
+ const dimension_type di = 2*i;
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
+ for (dimension_type j = 0; j < i; ++j) {
+ const Coefficient& g_j = g.coefficient(Variable(j));
+ const dimension_type dj = 2*j;
+ // Set for any point the straight lines passing in the point
+ // and having the octagonal gradient; compute maxima values.
+ // Let be P = [P_1, P_2, ..., P_n] point.
+ // Hyperplane: X_i - X_j = max (P_i - P_j, const).
+ div_round_up(tmp, g_j - g_i, d);
+ max_assign(x_i[dj], tmp);
+ div_round_up(tmp, g_i - g_j, d);
+ max_assign(x_ii[dj + 1], tmp);
+ // Hyperplane: X_i + X_j = max (P_i + P_j, const).
+ div_round_up(tmp, -g_j - g_i, d);
+ max_assign(x_i[dj + 1], tmp);
+ div_round_up(tmp, g_i + g_j, d);
+ max_assign(x_ii[dj], tmp);
+ }
+ // Hyperplane: X_i = max (P_i, const).
+ div_round_up(tmp, -g_i - g_i, d);
+ max_assign(x_i[di + 1], tmp);
+ div_round_up(tmp, g_i + g_i, d);
+ max_assign(x_ii[di], tmp);
+ }
+ }
+ break;
+ default:
+ // Lines and rays temporarily ignored.
+ break;
+ }
+ }
+
+ if (!point_seen)
+ // The generator system is not empty, but contains no points.
+ throw_invalid_argument("Octagonal_Shape(gs)",
+ "the non-empty generator system gs "
+ "contains no points.");
+
+ // Going through all the lines and rays.
+ for (Generator_System::const_iterator k = gs_begin; k != gs_end; ++k) {
+ const Generator& g = *k;
+ switch (g.type()) {
+ case Generator::LINE:
+ // TODO: This can be optimized more, if needed, exploiting the
+ // (possible) sparseness of g. Also consider if OR_Matrix should be
+ // sparse, too.
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ const Coefficient& g_i = g.coefficient(Variable(i));
+ const dimension_type di = 2*i;
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
+ for (dimension_type j = 0; j < i; ++j) {
+ const Coefficient& g_j = g.coefficient(Variable(j));
+ const dimension_type dj = 2*j;
+ // Set for any line the right limit.
+ if (g_i != g_j) {
+ // Hyperplane: X_i - X_j <=/>= +Inf.
+ assign_r(x_i[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(x_ii[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ if (g_i != -g_j) {
+ // Hyperplane: X_i + X_j <=/>= +Inf.
+ assign_r(x_i[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(x_ii[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ if (g_i != 0) {
+ // Hyperplane: X_i <=/>= +Inf.
+ assign_r(x_i[di + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(x_ii[di], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ break;
+ case Generator::RAY:
+ // TODO: This can be optimized more, if needed, exploiting the
+ // (possible) sparseness of g. Also consider if OR_Matrix should be
+ // sparse, too.
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ const Coefficient& g_i = g.coefficient(Variable(i));
+ const dimension_type di = 2*i;
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
+ for (dimension_type j = 0; j < i; ++j) {
+ const Coefficient& g_j = g.coefficient(Variable(j));
+ const dimension_type dj = 2*j;
+ // Set for any ray the right limit in the case
+ // of the binary constraints.
+ if (g_i < g_j)
+ // Hyperplane: X_i - X_j >= +Inf.
+ assign_r(x_i[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (g_i > g_j)
+ // Hyperplane: X_i - X_j <= +Inf.
+ assign_r(x_ii[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (g_i < -g_j)
+ // Hyperplane: X_i + X_j >= +Inf.
+ assign_r(x_i[dj + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (g_i > -g_j)
+ // Hyperplane: X_i + X_j <= +Inf.
+ assign_r(x_ii[dj], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ // Case: unary constraints.
+ if (g_i < 0)
+ // Hyperplane: X_i = +Inf.
+ assign_r(x_i[di + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (g_i > 0)
+ // Hyperplane: X_i = +Inf.
+ assign_r(x_ii[di], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ break;
+ default:
+ // Points and closure points already dealt with.
+ break;
+ }
+ }
+ set_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::add_constraint(const Constraint& c) {
+ const dimension_type c_space_dim = c.space_dimension();
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dim)
+ throw_dimension_incompatible("add_constraint(c)", c);
+
+ // Get rid of strict inequalities.
+ if (c.is_strict_inequality()) {
+ if (c.is_inconsistent()) {
+ set_empty();
+ return;
+ }
+ if (c.is_tautological())
+ return;
+ // Nontrivial strict inequalities are not allowed.
+ throw_invalid_argument("add_constraint(c)",
+ "strict inequalities are not allowed");
+ }
+
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(term);
+ // Constraints that are not octagonal differences are not allowed.
+ if (!Octagonal_Shape_Helper
+ ::extract_octagonal_difference(c, c_space_dim, num_vars,
+ i, j, coeff, term))
+ throw_invalid_argument("add_constraint(c)",
+ "c is not an octagonal constraint");
+
+ if (num_vars == 0) {
+ // Dealing with a trivial constraint (not a strict inequality).
+ if (c.inhomogeneous_term() < 0
+ || (c.is_equality() && c.inhomogeneous_term() != 0))
+ set_empty();
+ return;
+ }
+
+ // Select the cell to be modified for the "<=" part of constraint.
+ typename OR_Matrix<N>::row_iterator i_iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::row_reference_type m_i = *i_iter;
+ N& m_i_j = m_i[j];
+ // Set `coeff' to the absolute value of itself.
+ if (coeff < 0)
+ neg_assign(coeff);
+
+ bool is_oct_changed = false;
+ // Compute the bound for `m_i_j', rounding towards plus infinity.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, term, coeff);
+ if (m_i_j > d) {
+ m_i_j = d;
+ is_oct_changed = true;
+ }
+
+ if (c.is_equality()) {
+ // Select the cell to be modified for the ">=" part of constraint.
+ if (i % 2 == 0)
+ ++i_iter;
+ else
+ --i_iter;
+
+ typename OR_Matrix<N>::row_reference_type m_ci = *i_iter;
+ using namespace Implementation::Octagonal_Shapes;
+ dimension_type cj = coherent_index(j);
+ N& m_ci_cj = m_ci[cj];
+ // Also compute the bound for `m_ci_cj', rounding towards plus infinity.
+ neg_assign(term);
+ div_round_up(d, term, coeff);
+ if (m_ci_cj > d) {
+ m_ci_cj = d;
+ is_oct_changed = true;
+ }
+ }
+
+ // This method does not preserve closure.
+ if (is_oct_changed && marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::add_congruence(const Congruence& cg) {
+ const dimension_type cg_space_dim = cg.space_dimension();
+ // Dimension-compatibility check:
+ // the dimension of `cg' can not be greater than space_dim.
+ if (space_dimension() < cg_space_dim)
+ throw_dimension_incompatible("add_congruence(cg)", cg);
+
+ // Handle the case of proper congruences first.
+ if (cg.is_proper_congruence()) {
+ if (cg.is_tautological())
+ return;
+ if (cg.is_inconsistent()) {
+ set_empty();
+ return;
+ }
+ // Non-trivial and proper congruences are not allowed.
+ throw_invalid_argument("add_congruence(cg)",
+ "cg is a non-trivial, proper congruence");
+ }
+
+ PPL_ASSERT(cg.is_equality());
+ Constraint c(cg);
+ add_constraint(c);
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+Octagonal_Shape<T>::refine_with_linear_form_inequality(
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "Octagonal_Shape<T>::refine_with_linear_form_inequality:"
+ " T not a floating point type.");
+
+ // We assume that the analyzer will not try to apply an unreachable filter.
+ PPL_ASSERT(!marked_empty());
+
+ // Dimension-compatibility checks.
+ // The dimensions of `left' and `right' should not be greater than the
+ // dimension of `*this'.
+ const dimension_type left_space_dim = left.space_dimension();
+ if (space_dim < left_space_dim)
+ throw_dimension_incompatible(
+ "refine_with_linear_form_inequality(left, right)", "left", left);
+
+ const dimension_type right_space_dim = right.space_dimension();
+ if (space_dim < right_space_dim)
+ throw_dimension_incompatible(
+ "refine_with_linear_form_inequality(left, right)", "right", right);
+
+ // Number of non-zero coefficients in `left': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type left_t = 0;
+ // Variable-index of the last non-zero coefficient in `left', if any.
+ dimension_type left_w_id = 0;
+ // Number of non-zero coefficients in `right': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type right_t = 0;
+ // Variable-index of the last non-zero coefficient in `right', if any.
+ dimension_type right_w_id = 0;
+
+ // Get information about the number of non-zero coefficients in `left'.
+ for (dimension_type i = left_space_dim; i-- > 0; )
+ if (left.coefficient(Variable(i)) != 0) {
+ if (left_t++ == 1)
+ break;
+ else
+ left_w_id = i;
+ }
+
+ // Get information about the number of non-zero coefficients in `right'.
+ for (dimension_type i = right_space_dim; i-- > 0; )
+ if (right.coefficient(Variable(i)) != 0) {
+ if (right_t++ == 1)
+ break;
+ else
+ right_w_id = i;
+ }
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ // FIXME: there is plenty of duplicate code in the following lines. We could
+ // shorten it at the expense of a bit of efficiency.
+
+ if (left_t == 0) {
+ if (right_t == 0) {
+ // The constraint involves constants only. Ignore it: it is up to
+ // the analyzer to handle it.
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (right_t == 1) {
+ // The constraint has the form [a-, a+] <= [b-, b+] + [c-, c+] * x.
+ // Reduce it to the constraint +/-x <= b+ - a- if [c-, c+] = +/-[1, 1].
+ const FP_Interval_Type& right_w_coeff =
+ right.coefficient(Variable(right_w_id));
+ if (right_w_coeff == 1) {
+ const dimension_type n_right = right_w_id * 2;
+ PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_b = right.inhomogeneous_term();
+ sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
+ ROUND_UP);
+ mul_2exp_assign_r(b_plus_minus_a_minus, b_plus_minus_a_minus, 1,
+ ROUND_UP);
+ add_octagonal_constraint(n_right, n_right + 1, b_plus_minus_a_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (right_w_coeff == -1) {
+ const dimension_type n_right = right_w_id * 2;
+ PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_b = right.inhomogeneous_term();
+ sub_assign_r(b_plus_minus_a_minus, right_b.upper(), left_a.lower(),
+ ROUND_UP);
+ mul_2exp_assign_r(b_plus_minus_a_minus, b_plus_minus_a_minus, 1,
+ ROUND_UP);
+ add_octagonal_constraint(n_right + 1, n_right, b_plus_minus_a_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ }
+ else if (left_t == 1) {
+ if (right_t == 0) {
+ // The constraint has the form [b-, b+] + [c-, c+] * x <= [a-, a+]
+ // Reduce it to the constraint +/-x <= a+ - b- if [c-, c+] = +/-[1, 1].
+ const FP_Interval_Type& left_w_coeff =
+ left.coefficient(Variable(left_w_id));
+ if (left_w_coeff == 1) {
+ const dimension_type n_left = left_w_id * 2;
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ mul_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
+ ROUND_UP);
+ add_octagonal_constraint(n_left + 1, n_left, a_plus_minus_b_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (left_w_coeff == -1) {
+ const dimension_type n_left = left_w_id * 2;
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ mul_2exp_assign_r(a_plus_minus_b_minus, a_plus_minus_b_minus, 1,
+ ROUND_UP);
+ add_octagonal_constraint(n_left, n_left + 1, a_plus_minus_b_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ if (right_t == 1) {
+ // The constraint has the form
+ // [a-, a+] + [b-, b+] * x <= [c-, c+] + [d-, d+] * y.
+ // Reduce it to the constraint +/-x +/-y <= c+ - a-
+ // if [b-, b+] = +/-[1, 1] and [d-, d+] = +/-[1, 1].
+ const FP_Interval_Type& left_w_coeff =
+ left.coefficient(Variable(left_w_id));
+ const FP_Interval_Type& right_w_coeff =
+ right.coefficient(Variable(right_w_id));
+ bool is_left_coeff_one = (left_w_coeff == 1);
+ bool is_left_coeff_minus_one = (left_w_coeff == -1);
+ bool is_right_coeff_one = (right_w_coeff == 1);
+ bool is_right_coeff_minus_one = (right_w_coeff == -1);
+ if (left_w_id == right_w_id) {
+ if ((is_left_coeff_one && is_right_coeff_one)
+ || (is_left_coeff_minus_one && is_right_coeff_minus_one)) {
+ // Here we have an identity or a constants-only constraint.
+ PPL_ASSERT(OK());
+ return;
+ }
+ if (is_left_coeff_one && is_right_coeff_minus_one) {
+ // We fall back to a previous case
+ // (but we do not need to multiply the result by two).
+ const dimension_type n_left = left_w_id * 2;
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ add_octagonal_constraint(n_left + 1, n_left, a_plus_minus_b_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ if (is_left_coeff_minus_one && is_right_coeff_one) {
+ // We fall back to a previous case
+ // (but we do not need to multiply the result by two).
+ const dimension_type n_left = left_w_id * 2;
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ const FP_Interval_Type& left_b = left.inhomogeneous_term();
+ const FP_Interval_Type& right_a = right.inhomogeneous_term();
+ sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
+ ROUND_UP);
+ add_octagonal_constraint(n_left, n_left + 1, a_plus_minus_b_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ else if (is_left_coeff_one && is_right_coeff_one) {
+ const dimension_type n_left = left_w_id * 2;
+ const dimension_type n_right = right_w_id * 2;
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_c = right.inhomogeneous_term();
+ sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
+ ROUND_UP);
+ if (left_w_id < right_w_id)
+ add_octagonal_constraint(n_right, n_left, c_plus_minus_a_minus);
+ else
+ add_octagonal_constraint(n_left + 1, n_right + 1,
+ c_plus_minus_a_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ if (is_left_coeff_one && is_right_coeff_minus_one) {
+ const dimension_type n_left = left_w_id * 2;
+ const dimension_type n_right = right_w_id * 2;
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_c = right.inhomogeneous_term();
+ sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
+ ROUND_UP);
+ if (left_w_id < right_w_id)
+ add_octagonal_constraint(n_right + 1, n_left, c_plus_minus_a_minus);
+ else
+ add_octagonal_constraint(n_left + 1, n_right, c_plus_minus_a_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ if (is_left_coeff_minus_one && is_right_coeff_one) {
+ const dimension_type n_left = left_w_id * 2;
+ const dimension_type n_right = right_w_id * 2;
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_c = right.inhomogeneous_term();
+ sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
+ ROUND_UP);
+ if (left_w_id < right_w_id)
+ add_octagonal_constraint(n_right, n_left + 1, c_plus_minus_a_minus);
+ else
+ add_octagonal_constraint(n_left, n_right + 1, c_plus_minus_a_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ if (is_left_coeff_minus_one && is_right_coeff_minus_one) {
+ const dimension_type n_left = left_w_id * 2;
+ const dimension_type n_right = right_w_id * 2;
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ const FP_Interval_Type& right_c = right.inhomogeneous_term();
+ sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
+ ROUND_UP);
+ if (left_w_id < right_w_id)
+ add_octagonal_constraint(n_right + 1, n_left + 1,
+ c_plus_minus_a_minus);
+ else
+ add_octagonal_constraint(n_left, n_right, c_plus_minus_a_minus);
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ }
+
+ // General case.
+
+ // FIRST, update the binary constraints for each pair of DIFFERENT variables
+ // in `left' and `right'.
+
+ // Declare temporaries outside of the loop.
+ PPL_DIRTY_TEMP(N, low_coeff);
+ PPL_DIRTY_TEMP(N, high_coeff);
+ PPL_DIRTY_TEMP(N, upper_bound);
+
+ Linear_Form<FP_Interval_Type> right_minus_left(right);
+ right_minus_left -= left;
+
+ dimension_type max_w_id = std::max(left_w_id, right_w_id);
+ for (dimension_type first_v = 0; first_v < max_w_id; ++first_v) {
+ for (dimension_type second_v = first_v + 1;
+ second_v <= max_w_id; ++second_v) {
+ const FP_Interval_Type& lfv_coefficient =
+ left.coefficient(Variable(first_v));
+ const FP_Interval_Type& lsv_coefficient =
+ left.coefficient(Variable(second_v));
+ const FP_Interval_Type& rfv_coefficient =
+ right.coefficient(Variable(first_v));
+ const FP_Interval_Type& rsv_coefficient =
+ right.coefficient(Variable(second_v));
+ // We update the constraints only when both variables appear in at
+ // least one argument.
+ bool do_update = false;
+ assign_r(low_coeff, lfv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lfv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0) {
+ assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ else {
+ assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ }
+ }
+ else {
+ assign_r(low_coeff, rfv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rfv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0) {
+ assign_r(low_coeff, lsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ else {
+ assign_r(low_coeff, rsv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rsv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ }
+ }
+ }
+
+ if (do_update) {
+ Variable first(first_v);
+ Variable second(second_v);
+ dimension_type n_first_var = first_v * 2;
+ dimension_type n_second_var = second_v * 2;
+ linear_form_upper_bound(right_minus_left - first + second,
+ upper_bound);
+ add_octagonal_constraint(n_second_var + 1, n_first_var + 1,
+ upper_bound);
+ linear_form_upper_bound(right_minus_left + first + second,
+ upper_bound);
+ add_octagonal_constraint(n_second_var + 1, n_first_var, upper_bound);
+ linear_form_upper_bound(right_minus_left - first - second,
+ upper_bound);
+ add_octagonal_constraint(n_second_var, n_first_var + 1, upper_bound);
+ linear_form_upper_bound(right_minus_left + first - second,
+ upper_bound);
+ add_octagonal_constraint(n_second_var, n_first_var, upper_bound);
+ }
+ }
+ }
+
+ // Finally, update the unary constraints.
+ for (dimension_type v = 0; v <= max_w_id; ++v) {
+ const FP_Interval_Type& lv_coefficient =
+ left.coefficient(Variable(v));
+ const FP_Interval_Type& rv_coefficient =
+ right.coefficient(Variable(v));
+ // We update the constraints only if v appears in at least one of the
+ // two arguments.
+ bool do_update = false;
+ assign_r(low_coeff, lv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, lv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ else {
+ assign_r(low_coeff, rv_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(high_coeff, rv_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (low_coeff != 0 || high_coeff != 0)
+ do_update = true;
+ }
+
+ if (do_update) {
+ Variable var(v);
+ dimension_type n_var = 2 * v;
+ /*
+ VERY DIRTY trick: since we need to keep the old unary constraints
+ while computing the new ones, we momentarily keep the new coefficients
+ in the main diagonal of the matrix. They will be moved later.
+ */
+ linear_form_upper_bound(right_minus_left + var, upper_bound);
+ mul_2exp_assign_r(matrix[n_var + 1][n_var + 1], upper_bound, 1,
+ ROUND_UP);
+ linear_form_upper_bound(right_minus_left - var, upper_bound);
+ mul_2exp_assign_r(matrix[n_var][n_var], upper_bound, 1,
+ ROUND_UP);
+ }
+ }
+
+ /*
+ Now move the newly computed coefficients from the main diagonal to
+ their proper place, and restore +infinity on the diagonal.
+ */
+ row_iterator m_ite = matrix.row_begin();
+ row_iterator m_end = matrix.row_end();
+ for (dimension_type i = 0; m_ite != m_end; i += 2) {
+ row_reference upper = *m_ite;
+ N& ul = upper[i];
+ add_octagonal_constraint(i, i + 1, ul);
+ assign_r(ul, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ ++m_ite;
+ row_reference lower = *m_ite;
+ N& lr = lower[i + 1];
+ add_octagonal_constraint(i + 1, i, lr);
+ assign_r(lr, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ ++m_ite;
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::refine_no_check(const Constraint& c) {
+ PPL_ASSERT(!marked_empty());
+ const dimension_type c_space_dim = c.space_dimension();
+ PPL_ASSERT(c_space_dim <= space_dim);
+
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(term);
+ // Constraints that are not octagonal differences are ignored.
+ if (!Octagonal_Shape_Helper
+ ::extract_octagonal_difference(c, c_space_dim, num_vars,
+ i, j, coeff, term))
+ return;
+
+ if (num_vars == 0) {
+ const Coefficient& c_inhomo = c.inhomogeneous_term();
+ // Dealing with a trivial constraint (maybe a strict inequality).
+ if (c_inhomo < 0
+ || (c_inhomo != 0 && c.is_equality())
+ || (c_inhomo == 0 && c.is_strict_inequality()))
+ set_empty();
+ return;
+ }
+
+ // Select the cell to be modified for the "<=" part of constraint.
+ typename OR_Matrix<N>::row_iterator i_iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::row_reference_type m_i = *i_iter;
+ N& m_i_j = m_i[j];
+ // Set `coeff' to the absolute value of itself.
+ if (coeff < 0)
+ neg_assign(coeff);
+
+ bool is_oct_changed = false;
+ // Compute the bound for `m_i_j', rounding towards plus infinity.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, term, coeff);
+ if (m_i_j > d) {
+ m_i_j = d;
+ is_oct_changed = true;
+ }
+
+ if (c.is_equality()) {
+ // Select the cell to be modified for the ">=" part of constraint.
+ if (i % 2 == 0)
+ ++i_iter;
+ else
+ --i_iter;
+
+ typename OR_Matrix<N>::row_reference_type m_ci = *i_iter;
+ using namespace Implementation::Octagonal_Shapes;
+ dimension_type cj = coherent_index(j);
+ N& m_ci_cj = m_ci[cj];
+ // Also compute the bound for `m_ci_cj', rounding towards plus infinity.
+ neg_assign(term);
+ div_round_up(d, term, coeff);
+ if (m_ci_cj > d) {
+ m_ci_cj = d;
+ is_oct_changed = true;
+ }
+ }
+
+ // This method does not preserve closure.
+ if (is_oct_changed && marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+dimension_type
+Octagonal_Shape<T>::affine_dimension() const {
+ const dimension_type n_rows = matrix.num_rows();
+ // A zero-space-dim shape always has affine dimension zero.
+ if (n_rows == 0)
+ return 0;
+
+ // Strong closure is necessary to detect emptiness
+ // and all (possibly implicit) equalities.
+ strong_closure_assign();
+ if (marked_empty())
+ return 0;
+
+ // The vector `leaders' is used to represent non-singular
+ // equivalence classes:
+ // `leaders[i] == i' if and only if `i' is the leader of its
+ // equivalence class (i.e., the minimum index in the class).
+ std::vector<dimension_type> leaders;
+ compute_leaders(leaders);
+
+ // Due to the splitting of variables, the affine dimension is the
+ // number of non-singular positive zero-equivalence classes.
+ dimension_type affine_dim = 0;
+ for (dimension_type i = 0; i < n_rows; i += 2)
+ // Note: disregard the singular equivalence class.
+ if (leaders[i] == i && leaders[i + 1] == i + 1)
+ ++affine_dim;
+
+ return affine_dim;
+}
+
+template <typename T>
+Congruence_System
+Octagonal_Shape<T>::minimized_congruences() const {
+ // Strong closure is necessary to detect emptiness
+ // and all (possibly implicit) equalities.
+ strong_closure_assign();
+ const dimension_type space_dim = space_dimension();
+ Congruence_System cgs(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cgs = Congruence_System::zero_dim_empty();
+ return cgs;
+ }
+
+ if (marked_empty()) {
+ cgs.insert(Congruence::zero_dim_false());
+ return cgs;
+ }
+
+ // The vector `leaders' is used to represent equivalence classes:
+ // `leaders[i] == i' if and only if `i' is the leader of its
+ // equivalence class (i.e., the minimum index in the class).
+ std::vector<dimension_type> leaders;
+ compute_leaders(leaders);
+
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ for (dimension_type i = 0, i_end = 2*space_dim; i != i_end; i += 2) {
+ const dimension_type lead_i = leaders[i];
+ if (i == lead_i) {
+ if (leaders[i + 1] == i)
+ // `i' is the leader of the singular equivalence class.
+ goto singular;
+ else
+ // `i' is the leader of a non-singular equivalence class.
+ continue;
+ }
+ else {
+ // `i' is not a leader.
+ if (leaders[i + 1] == lead_i)
+ // `i' belongs to the singular equivalence class.
+ goto singular;
+ else
+ // `i' does not belong to the singular equivalence class.
+ goto non_singular;
+ }
+
+ singular:
+ // `i' belongs to the singular equivalence class:
+ // we have a unary equality constraint.
+ {
+ const Variable x(i/2);
+ const N& c_ii_i = matrix[i + 1][i];
+#ifndef NDEBUG
+ const N& c_i_ii = matrix[i][i + 1];
+ PPL_ASSERT(is_additive_inverse(c_i_ii, c_ii_i));
+#endif
+ numer_denom(c_ii_i, numer, denom);
+ denom *= 2;
+ cgs.insert(denom*x == numer);
+ }
+ continue;
+
+ non_singular:
+ // `i' does not belong to the singular equivalence class.
+ // we have a binary equality constraint.
+ {
+ const N& c_i_li = matrix[i][lead_i];
+#ifndef NDEBUG
+ using namespace Implementation::Octagonal_Shapes;
+ const N& c_ii_lii = matrix[i + 1][coherent_index(lead_i)];
+ PPL_ASSERT(is_additive_inverse(c_ii_lii, c_i_li));
+#endif
+ const Variable x(lead_i/2);
+ const Variable y(i/2);
+ numer_denom(c_i_li, numer, denom);
+ if (lead_i % 2 == 0)
+ cgs.insert(denom*x - denom*y == numer);
+ else
+ cgs.insert(denom*x + denom*y + numer == 0);
+ }
+ continue;
+ }
+ return cgs;
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::concatenate_assign(const Octagonal_Shape& y) {
+ // If `y' is an empty 0-dim space octagon, let `*this' become empty.
+ // If `y' is an universal 0-dim space octagon, we simply return.
+ if (y.space_dim == 0) {
+ if (y.marked_empty())
+ set_empty();
+ return;
+ }
+
+ // If `*this' is an empty 0-dim space octagon, then it is sufficient
+ // to adjust the dimension of the vector space.
+ if (space_dim == 0 && marked_empty()) {
+ add_space_dimensions_and_embed(y.space_dim);
+ return;
+ }
+
+ // This is the old number of rows in the matrix. It is equal to
+ // the first index of columns to change.
+ dimension_type old_num_rows = matrix.num_rows();
+ // First we increase the space dimension of `*this' by adding
+ // `y.space_dimension()' new dimensions.
+ // The matrix for the new octagon is obtained
+ // by leaving the old system of constraints in the upper left-hand side
+ // (where they are at the present) and placing the constraints of `y' in the
+ // lower right-hand side.
+ add_space_dimensions_and_embed(y.space_dim);
+ typename OR_Matrix<N>::const_element_iterator
+ y_it = y.matrix.element_begin();
+ for (typename OR_Matrix<N>::row_iterator
+ i = matrix.row_begin() + old_num_rows,
+ matrix_row_end = matrix.row_end(); i != matrix_row_end; ++i) {
+ typename OR_Matrix<N>::row_reference_type r = *i;
+ dimension_type rs_i = i.row_size();
+ for (dimension_type j = old_num_rows; j < rs_i; ++j, ++y_it)
+ r[j] = *y_it;
+ }
+
+ // The concatenation does not preserve the closure.
+ if (marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::contains(const Octagonal_Shape& y) const {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("contains(y)", y);
+
+ if (space_dim == 0) {
+ // The zero-dimensional empty octagon only contains another
+ // zero-dimensional empty octagon.
+ // The zero-dimensional universe octagon contains any other
+ // zero-dimensional octagon.
+ return marked_empty() ? y.marked_empty() : true;
+ }
+
+ // `y' needs to be transitively closed.
+ y.strong_closure_assign();
+ // An empty octagon is in any other dimension-compatible octagons.
+ if (y.marked_empty())
+ return true;
+
+ // If `*this' is empty it can not contain `y' (which is not empty).
+ if (is_empty())
+ return false;
+
+ // `*this' contains `y' if and only if every element of `*this'
+ // is greater than or equal to the correspondent one of `y'.
+ for (typename OR_Matrix<N>::const_element_iterator
+ i = matrix.element_begin(), j = y.matrix.element_begin(),
+ matrix_element_end = matrix.element_end();
+ i != matrix_element_end; ++i, ++j)
+ if (*i < *j)
+ return false;
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::is_disjoint_from(const Octagonal_Shape& y) const {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("is_disjoint_from(y)", y);
+
+ // If one Octagonal_Shape is empty, the Octagonal_Shapes are disjoint.
+ strong_closure_assign();
+ if (marked_empty())
+ return true;
+ y.strong_closure_assign();
+ if (y.marked_empty())
+ return true;
+
+ // Two Octagonal_Shapes are disjoint if and only if their
+ // intersection is empty, i.e., if and only if there exists a
+ // variable such that the upper bound of the constraint on that
+ // variable in the first Octagonal_Shape is strictly less than the
+ // lower bound of the corresponding constraint in the second
+ // Octagonal_Shape or vice versa.
+
+ const dimension_type n_rows = matrix.num_rows();
+
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+
+ const row_iterator y_begin = y.matrix.row_begin();
+
+ PPL_DIRTY_TEMP(N, neg_y_ci_cj);
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
+ using namespace Implementation::Octagonal_Shapes;
+ const dimension_type i = i_iter.index();
+ const dimension_type ci = coherent_index(i);
+ const dimension_type rs_i = i_iter.row_size();
+ row_reference m_i = *i_iter;
+ for (dimension_type j = 0; j < n_rows; ++j) {
+ const dimension_type cj = coherent_index(j);
+ row_reference m_cj = *(m_begin + cj);
+ const N& m_i_j = (j < rs_i) ? m_i[j] : m_cj[ci];
+ row_reference y_ci = *(y_begin + ci);
+ row_reference y_j = *(y_begin + j);
+ const N& y_ci_cj = (j < rs_i) ? y_ci[cj] : y_j[i];
+ neg_assign_r(neg_y_ci_cj, y_ci_cj, ROUND_UP);
+ if (m_i_j < neg_y_ci_cj)
+ return true;
+ }
+ }
+ return false;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::is_universe() const {
+ // An empty octagon is not universe.
+ if (marked_empty())
+ return false;
+
+ // If the octagon is non-empty and zero-dimensional,
+ // then it is necessarily the universe octagon.
+ if (space_dim == 0)
+ return true;
+
+ // An universe octagon can only contains trivial constraints.
+ for (typename OR_Matrix<N>::const_element_iterator
+ i = matrix.element_begin(), matrix_element_end = matrix.element_end();
+ i != matrix_element_end;
+ ++i)
+ if (!is_plus_infinity(*i))
+ return false;
+
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::is_bounded() const {
+ strong_closure_assign();
+ // A zero-dimensional or empty octagon is bounded.
+ if (marked_empty() || space_dim == 0)
+ return true;
+
+ // A bounded octagon never can contains trivial constraints.
+ for (typename OR_Matrix<N>::const_row_iterator i = matrix.row_begin(),
+ matrix_row_end = matrix.row_end(); i != matrix_row_end; ++i) {
+ typename OR_Matrix<N>::const_row_reference_type x_i = *i;
+ const dimension_type i_index = i.index();
+ for (dimension_type j = i.row_size(); j-- > 0; )
+ if (i_index != j)
+ if (is_plus_infinity(x_i[j]))
+ return false;
+ }
+
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::contains_integer_point() const {
+ // Force strong closure.
+ if (is_empty())
+ return false;
+ const dimension_type space_dim = space_dimension();
+ if (space_dim == 0)
+ return true;
+
+ // A strongly closed and consistent Octagonal_Shape defined by
+ // integer constraints can only be empty due to tight coherence.
+ if (std::numeric_limits<T>::is_integer)
+ return !tight_coherence_would_make_empty();
+
+ // Build an integer Octagonal_Shape oct_z with bounds at least as
+ // tight as those in *this and then recheck for emptiness, also
+ // exploiting tight-coherence.
+ Octagonal_Shape<mpz_class> oct_z(space_dim);
+ oct_z.reset_strongly_closed();
+
+ typedef Octagonal_Shape<mpz_class>::N Z;
+ bool all_integers = true;
+ typename OR_Matrix<N>::const_element_iterator x_i = matrix.element_begin();
+ for (typename OR_Matrix<Z>::element_iterator
+ z_i = oct_z.matrix.element_begin(),
+ z_end = oct_z.matrix.element_end(); z_i != z_end; ++z_i, ++x_i) {
+ const N& d = *x_i;
+ if (is_plus_infinity(d))
+ continue;
+ if (is_integer(d))
+ assign_r(*z_i, d, ROUND_NOT_NEEDED);
+ else {
+ all_integers = false;
+ assign_r(*z_i, d, ROUND_DOWN);
+ }
+ }
+ // Restore strong closure.
+ if (all_integers)
+ // oct_z unchanged, so it is still strongly closed.
+ oct_z.set_strongly_closed();
+ else {
+ // oct_z changed: recompute strong closure.
+ oct_z.strong_closure_assign();
+ if (oct_z.marked_empty())
+ return false;
+ }
+ return !oct_z.tight_coherence_would_make_empty();
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const {
+ dimension_type space_dim = space_dimension();
+ // The dimension of `expr' must be at most the dimension of *this.
+ if (space_dim < expr.space_dimension())
+ throw_dimension_incompatible("frequency(e, ...)", "e", expr);
+
+ // Check if `expr' has a constant value.
+ // If it is constant, set the frequency `freq_n' to 0
+ // and return true. Otherwise the values for \p expr
+ // are not discrete so return false.
+
+ // Space dimension is 0: if empty, then return false;
+ // otherwise the frequency is 0 and the value is the inhomogeneous term.
+ if (space_dim == 0) {
+ if (is_empty())
+ return false;
+ freq_n = 0;
+ freq_d = 1;
+ val_n = expr.inhomogeneous_term();
+ val_d = 1;
+ return true;
+ }
+
+ strong_closure_assign();
+ // For an empty Octagonal shape, we simply return false.
+ if (marked_empty())
+ return false;
+
+ // The Octagonal shape has at least 1 dimension and is not empty.
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff_j);
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ Linear_Expression le = expr;
+ // Boolean to keep track of a variable `v' in expression `le'.
+ // If we can replace `v' by an expression using variables other
+ // than `v' and are already in `le', then this is set to true.
+ bool constant_v = false;
+
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
+ val_denom = 1;
+
+ for (row_iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
+ constant_v = false;
+ dimension_type i = i_iter.index();
+ const Variable v(i/2);
+ coeff = le.coefficient(v);
+ if (coeff == 0) {
+ constant_v = true;
+ continue;
+ }
+ // We check the unary constraints.
+ row_reference m_i = *i_iter;
+ row_reference m_ii = *(i_iter + 1);
+ const N& m_i_ii = m_i[i + 1];
+ const N& m_ii_i = m_ii[i];
+ if ((!is_plus_infinity(m_i_ii) && !is_plus_infinity(m_ii_i))
+ && (is_additive_inverse(m_i_ii, m_ii_i))) {
+ // If `v' is constant, replace it in `le' by the value.
+ numer_denom(m_i_ii, numer, denom);
+ denom *= 2;
+ le -= coeff*v;
+ le *= denom;
+ le -= numer*coeff;
+ val_denom *= denom;
+ constant_v = true;
+ continue;
+ }
+ // Check the octagonal constraints between `v' and the other dimensions
+ // that have non-zero coefficient in `le'.
+ else {
+ PPL_ASSERT(!constant_v);
+ using namespace Implementation::Octagonal_Shapes;
+ const dimension_type ci = coherent_index(i);
+ for (row_iterator j_iter = i_iter; j_iter != m_end; j_iter += 2) {
+ dimension_type j = j_iter.index();
+ const Variable vj(j/2);
+ coeff_j = le.coefficient(vj);
+ if (coeff_j == 0)
+ // The coefficient in `le' is 0, so do nothing.
+ continue;
+ const dimension_type cj = coherent_index(j);
+ const dimension_type cjj = coherent_index(j + 1);
+
+ row_reference m_j = *(m_begin + j);
+ row_reference m_cj = *(m_begin + cj);
+ const N& m_j_i = m_j[i];
+ const N& m_i_j = m_cj[ci];
+ if ((!is_plus_infinity(m_i_j) && !is_plus_infinity(m_j_i))
+ && (is_additive_inverse(m_i_j, m_j_i))) {
+ // The coefficient for `vj' in `le' is not 0
+ // and the constraint with `v' is an equality.
+ // So apply this equality to eliminate `v' in `le'.
+ numer_denom(m_i_j, numer, denom);
+ le -= coeff*v;
+ le += coeff*vj;
+ le *= denom;
+ le -= numer*coeff;
+ val_denom *= denom;
+ constant_v = true;
+ break;
+ }
+
+ m_j = *(m_begin + (j + 1));
+ m_cj = *(m_begin + cjj);
+ const N& m_j_i1 = m_j[i];
+ const N& m_i_j1 = m_cj[ci];
+ if ((!is_plus_infinity(m_i_j1) && !is_plus_infinity(m_j_i1))
+ && (is_additive_inverse(m_i_j1, m_j_i1))) {
+ // The coefficient for `vj' in `le' is not 0
+ // and the constraint with `v' is an equality.
+ // So apply this equality to eliminate `v' in `le'.
+ numer_denom(m_i_j1, numer, denom);
+ le -= coeff*v;
+ le -= coeff*vj;
+ le *= denom;
+ le -= numer*coeff;
+ val_denom *= denom;
+ constant_v = true;
+ break;
+ }
+ }
+ if (!constant_v)
+ // The expression `expr' is not constant.
+ return false;
+ }
+ }
+ if (!constant_v)
+ // The expression `expr' is not constant.
+ return false;
+
+ // The expression 'expr' is constant.
+ freq_n = 0;
+ freq_d = 1;
+
+ // Reduce `val_n' and `val_d'.
+ normalize2(le.inhomogeneous_term(), val_denom, val_n, val_d);
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::constrains(const Variable var) const {
+ // `var' should be one of the dimensions of the octagonal shape.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (space_dimension() < var_space_dim)
+ throw_dimension_incompatible("constrains(v)", "v", var);
+
+ // An octagon known to be empty constrains all variables.
+ // (Note: do not force emptiness check _yet_)
+ if (marked_empty())
+ return true;
+
+ // Check whether `var' is syntactically constrained.
+ const dimension_type n_v = 2*(var_space_dim - 1);
+ typename OR_Matrix<N>::const_row_iterator m_iter = matrix.row_begin() + n_v;
+ typename OR_Matrix<N>::const_row_reference_type r_v = *m_iter;
+ typename OR_Matrix<N>::const_row_reference_type r_cv = *(++m_iter);
+ for (dimension_type h = m_iter.row_size(); h-- > 0; ) {
+ if (!is_plus_infinity(r_v[h]) || !is_plus_infinity(r_cv[h]))
+ return true;
+ }
+ ++m_iter;
+ for (typename OR_Matrix<N>::const_row_iterator m_end = matrix.row_end();
+ m_iter != m_end; ++m_iter) {
+ typename OR_Matrix<N>::const_row_reference_type r = *m_iter;
+ if (!is_plus_infinity(r[n_v]) || !is_plus_infinity(r[n_v + 1]))
+ return true;
+ }
+
+ // `var' is not syntactically constrained:
+ // now force an emptiness check.
+ return is_empty();
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::is_strong_coherent() const {
+ // This method is only used by method OK() so as to check if a
+ // strongly closed matrix is also strong-coherent, as it must be.
+ const dimension_type num_rows = matrix.num_rows();
+
+ // Allocated here once and for all.
+ PPL_DIRTY_TEMP(N, semi_sum);
+ // The strong-coherence is: for every indexes i and j (and i != j)
+ // matrix[i][j] <= (matrix[i][ci] + matrix[cj][j])/2
+ // where ci = i + 1, if i is even number or
+ // ci = i - 1, if i is odd.
+ // Ditto for cj.
+ for (dimension_type i = num_rows; i-- > 0; ) {
+ typename OR_Matrix<N>::const_row_iterator iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::const_row_reference_type m_i = *iter;
+ using namespace Implementation::Octagonal_Shapes;
+ const N& m_i_ci = m_i[coherent_index(i)];
+ for (dimension_type j = matrix.row_size(i); j-- > 0; )
+ // Note: on the main diagonal only PLUS_INFINITY can occur.
+ if (i != j) {
+ const N& m_cj_j = matrix[coherent_index(j)][j];
+ if (!is_plus_infinity(m_i_ci)
+ && !is_plus_infinity(m_cj_j)) {
+ // Compute (m_i_ci + m_cj_j)/2 into `semi_sum',
+ // rounding the result towards plus infinity.
+ add_assign_r(semi_sum, m_i_ci, m_cj_j, ROUND_UP);
+ div_2exp_assign_r(semi_sum, semi_sum, 1, ROUND_UP);
+ if (m_i[j] > semi_sum)
+ return false;
+ }
+ }
+ }
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::is_strongly_reduced() const {
+ // This method is only used in assertions: efficiency is not a must.
+
+ // An empty octagon is already transitively reduced.
+ if (marked_empty())
+ return true;
+
+ Octagonal_Shape x = *this;
+ // The matrix representing an OS is strongly reduced if, by removing
+ // any constraint, the resulting matrix describes a different OS.
+ for (typename OR_Matrix<N>::const_row_iterator iter = matrix.row_begin(),
+ matrix_row_end = matrix.row_end(); iter != matrix_row_end; ++iter) {
+ typename OR_Matrix<N>::const_row_reference_type m_i = *iter;
+ const dimension_type i = iter.index();
+ for (dimension_type j = iter.row_size(); j-- > 0; ) {
+ if (!is_plus_infinity(m_i[j])) {
+ Octagonal_Shape x_copy = *this;
+ assign_r(x_copy.matrix[i][j], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ if (x == x_copy)
+ return false;
+ }
+ }
+ }
+ // The octagon is just reduced.
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::bounds(const Linear_Expression& expr,
+ const bool from_above) const {
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((from_above
+ ? "bounds_from_above(e)"
+ : "bounds_from_below(e)"), "e", expr);
+ strong_closure_assign();
+
+ // A zero-dimensional or empty octagon bounds everything.
+ if (space_dim == 0 || marked_empty())
+ return true;
+
+ // The constraint `c' is used to check if `expr' is an octagonal difference
+ // and, in this case, to select the cell.
+ const Constraint& c = (from_above) ? expr <= 0 : expr >= 0;
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(term);
+ if (Octagonal_Shape_Helper
+ ::extract_octagonal_difference(c, c.space_dimension(), num_vars,
+ i, j, coeff, term)) {
+ if (num_vars == 0)
+ return true;
+ // Select the cell to be checked.
+ typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
+ return !is_plus_infinity(m_i[j]);
+ }
+ else {
+ // `c' is not an octagonal constraint: use the MIP solver.
+ Optimization_Mode mode_bounds =
+ from_above ? MAXIMIZATION : MINIMIZATION;
+ MIP_Problem mip(space_dim, constraints(), expr, mode_bounds);
+ return mip.solve() == OPTIMIZED_MIP_PROBLEM;
+ }
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::max_min(const Linear_Expression& expr,
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included) const {
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((maximize
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
+ // Deal with zero-dim octagons first.
+ if (space_dim == 0) {
+ if (marked_empty())
+ return false;
+ else {
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ return true;
+ }
+ }
+
+ strong_closure_assign();
+ // For an empty OS we simply return false.
+ if (marked_empty())
+ return false;
+
+ // The constraint `c' is used to check if `expr' is an octagonal difference
+ // and, in this case, to select the cell.
+ const Constraint& c = (maximize) ? expr <= 0 : expr >= 0;
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(term);
+ if (!Octagonal_Shape_Helper
+ ::extract_octagonal_difference(c, c.space_dimension(), num_vars,
+ i, j, coeff, term)) {
+ // `c' is not an octagonal constraint: use the MIP solver.
+ Optimization_Mode max_min = (maximize) ? MAXIMIZATION : MINIMIZATION;
+ MIP_Problem mip(space_dim, constraints(), expr, max_min);
+ if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
+ mip.optimal_value(ext_n, ext_d);
+ included = true;
+ return true;
+ }
+ else
+ // Here`expr' is unbounded in `*this'.
+ return false;
+ }
+ else {
+ // `c' is an octagonal constraint.
+ if (num_vars == 0) {
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ return true;
+ }
+
+ // Select the cell to be checked.
+ typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
+ PPL_DIRTY_TEMP(N, d);
+ if (!is_plus_infinity(m_i[j])) {
+ const Coefficient& b = expr.inhomogeneous_term();
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = maximize ? b : minus_b;
+ assign_r(d, sc_b, ROUND_UP);
+ // Set `coeff_expr' to the absolute value of coefficient of a variable
+ // of `expr'.
+ PPL_DIRTY_TEMP(N, coeff_expr);
+ const Coefficient& coeff_i = expr.coefficient(Variable(i/2));
+ const int sign_i = sgn(coeff_i);
+ if (sign_i > 0)
+ assign_r(coeff_expr, coeff_i, ROUND_UP);
+ else {
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_coeff_i);
+ neg_assign(minus_coeff_i, coeff_i);
+ assign_r(coeff_expr, minus_coeff_i, ROUND_UP);
+ }
+ // Approximating the maximum/minimum of `expr'.
+ if (num_vars == 1) {
+ PPL_DIRTY_TEMP(N, m_i_j);
+ div_2exp_assign_r(m_i_j, m_i[j], 1, ROUND_UP);
+ add_mul_assign_r(d, coeff_expr, m_i_j, ROUND_UP);
+ }
+ else
+ add_mul_assign_r(d, coeff_expr, m_i[j], ROUND_UP);
+ numer_denom(d, ext_n, ext_d);
+ if (!maximize)
+ neg_assign(ext_n);
+ included = true;
+ return true;
+ }
+
+ // The `expr' is unbounded.
+ return false;
+ }
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::max_min(const Linear_Expression& expr,
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included, Generator& g) const {
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible((maximize
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
+ // Deal with zero-dim octagons first.
+ if (space_dim == 0) {
+ if (marked_empty())
+ return false;
+ else {
+ ext_n = expr.inhomogeneous_term();
+ ext_d = 1;
+ included = true;
+ g = point();
+ return true;
+ }
+ }
+
+ strong_closure_assign();
+ // For an empty OS we simply return false.
+ if (marked_empty())
+ return false;
+ if (!is_universe()) {
+ // We use MIP_Problems to handle constraints that are not
+ // octagonal difference.
+ Optimization_Mode max_min = (maximize) ? MAXIMIZATION : MINIMIZATION;
+ MIP_Problem mip(space_dim, constraints(), expr, max_min);
+ if (mip.solve() == OPTIMIZED_MIP_PROBLEM) {
+ g = mip.optimizing_point();
+ mip.evaluate_objective_function(g, ext_n, ext_d);
+ included = true;
+ return true;
+ }
+ }
+ // The `expr' is unbounded.
+ return false;
+}
+
+template <typename T>
+Poly_Con_Relation
+Octagonal_Shape<T>::relation_with(const Congruence& cg) const {
+ dimension_type cg_space_dim = cg.space_dimension();
+
+ // Dimension-compatibility check.
+ if (cg_space_dim > space_dim)
+ throw_dimension_incompatible("relation_with(cg)", cg);
+
+ // If the congruence is an equality,
+ // find the relation with the equivalent equality constraint.
+ if (cg.is_equality()) {
+ Constraint c(cg);
+ return relation_with(c);
+ }
+
+ strong_closure_assign();
+
+ if (marked_empty())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint();
+
+ if (space_dim == 0) {
+ if (cg.is_inconsistent())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ }
+
+ // Find the lower bound for a hyperplane with direction
+ // defined by the congruence.
+ Linear_Expression le(cg.expression());
+ PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
+ bool min_included;
+ bool bounded_below = minimize(le, min_numer, min_denom, min_included);
+
+ // If there is no lower bound, then some of the hyperplanes defined by
+ // the congruence will strictly intersect the shape.
+ if (!bounded_below)
+ return Poly_Con_Relation::strictly_intersects();
+
+ // TODO: Consider adding a max_and_min() method, performing both
+ // maximization and minimization so as to possibly exploit
+ // incrementality of the MIP solver.
+
+ // Find the upper bound for a hyperplane with direction
+ // defined by the congruence.
+ PPL_DIRTY_TEMP_COEFFICIENT(max_numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(max_denom);
+ bool max_included;
+ bool bounded_above = maximize(le, max_numer, max_denom, max_included);
+
+ // If there is no upper bound, then some of the hyperplanes defined by
+ // the congruence will strictly intersect the shape.
+ if (!bounded_above)
+ return Poly_Con_Relation::strictly_intersects();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(signed_distance);
+
+ // Find the position value for the hyperplane that satisfies the congruence
+ // and is above the lower bound for the shape.
+ PPL_DIRTY_TEMP_COEFFICIENT(min_value);
+ min_value = min_numer / min_denom;
+ const Coefficient& modulus = cg.modulus();
+ signed_distance = min_value % modulus;
+ min_value -= signed_distance;
+ if (min_value * min_denom < min_numer)
+ min_value += modulus;
+
+ // Find the position value for the hyperplane that satisfies the congruence
+ // and is below the upper bound for the shape.
+ PPL_DIRTY_TEMP_COEFFICIENT(max_value);
+ max_value = max_numer / max_denom;
+ signed_distance = max_value % modulus;
+ max_value += signed_distance;
+ if (max_value * max_denom > max_numer)
+ max_value -= modulus;
+
+ // If the upper bound value is less than the lower bound value,
+ // then there is an empty intersection with the congruence;
+ // otherwise it will strictly intersect.
+ if (max_value < min_value)
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+}
+
+template <typename T>
+Poly_Con_Relation
+Octagonal_Shape<T>::relation_with(const Constraint& c) const {
+ dimension_type c_space_dim = c.space_dimension();
+
+ // Dimension-compatibility check.
+ if (c_space_dim > space_dim)
+ throw_dimension_incompatible("relation_with(c)", c);
+
+ // The closure needs to make explicit the implicit constraints.
+ strong_closure_assign();
+
+ if (marked_empty())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint();
+
+ if (space_dim == 0) {
+ // Trivially false zero-dimensional constraint.
+ if ((c.is_equality() && c.inhomogeneous_term() != 0)
+ || (c.is_inequality() && c.inhomogeneous_term() < 0))
+ return Poly_Con_Relation::is_disjoint();
+ else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
+ // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
+ // thus, the zero-dimensional point also saturates it.
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+
+ // Trivially true zero-dimensional constraint.
+ else if (c.is_equality() || c.inhomogeneous_term() == 0)
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ else
+ // The zero-dimensional point saturates
+ // neither the positivity constraint 1 >= 0,
+ // nor the strict positivity constraint 1 > 0.
+ return Poly_Con_Relation::is_included();
+ }
+
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(c_term);
+ if (!Octagonal_Shape_Helper
+ ::extract_octagonal_difference(c, c_space_dim, num_vars,
+ i, j, coeff, c_term)) {
+ // Constraints that are not octagonal differences.
+ // Use maximize() and minimize() to do much of the work.
+
+ // Find the linear expression for the constraint and use that to
+ // find if the expression is bounded from above or below and if it
+ // is, find the maximum and minimum values.
+ Linear_Expression le;
+ le.set_space_dimension(c.space_dimension());
+ le.linear_combine(c.expr, Coefficient_one(), Coefficient_one(),
+ 1, c_space_dim + 1);
+
+ PPL_DIRTY_TEMP(Coefficient, max_numer);
+ PPL_DIRTY_TEMP(Coefficient, max_denom);
+ bool max_included;
+ PPL_DIRTY_TEMP(Coefficient, min_numer);
+ PPL_DIRTY_TEMP(Coefficient, min_denom);
+ bool min_included;
+ bool bounded_above = maximize(le, max_numer, max_denom, max_included);
+ bool bounded_below = minimize(le, min_numer, min_denom, min_included);
+ if (!bounded_above) {
+ if (!bounded_below)
+ return Poly_Con_Relation::strictly_intersects();
+ min_numer += c.inhomogeneous_term() * min_denom;
+ switch (sgn(min_numer)) {
+ case 1:
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_included();
+ case 0:
+ if (c.is_strict_inequality() || c.is_equality())
+ return Poly_Con_Relation::strictly_intersects();
+ return Poly_Con_Relation::is_included();
+ case -1:
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ }
+ if (!bounded_below) {
+ max_numer += c.inhomogeneous_term() * max_denom;
+ switch (sgn(max_numer)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ else {
+ max_numer += c.inhomogeneous_term() * max_denom;
+ min_numer += c.inhomogeneous_term() * min_denom;
+ switch (sgn(max_numer)) {
+ case 1:
+ switch (sgn(min_numer)) {
+ case 1:
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_included();
+ case 0:
+ if (c.is_equality())
+ return Poly_Con_Relation::strictly_intersects();
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::strictly_intersects();
+ return Poly_Con_Relation::is_included();
+ case -1:
+ return Poly_Con_Relation::strictly_intersects();
+ }
+ PPL_UNREACHABLE;
+ break;
+ case 0:
+ if (min_numer == 0) {
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates();
+ return Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates();
+ }
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
+ }
+
+ if (num_vars == 0) {
+ // Dealing with a trivial constraint.
+ switch (sgn(c.inhomogeneous_term())) {
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ case 0:
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ case 1:
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::is_included();
+ }
+ }
+
+ // Select the cell to be checked for the "<=" part of constraint.
+ typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
+ const N& m_i_j = m_i[j];
+ // Set `coeff' to the absolute value of itself.
+ if (coeff < 0)
+ neg_assign(coeff);
+
+ // Select the cell to be checked for the ">=" part of constraint.
+ // Select the right row of the cell.
+ if (i % 2 == 0)
+ ++i_iter;
+ else
+ --i_iter;
+ typename OR_Matrix<N>::const_row_reference_type m_ci = *i_iter;
+ using namespace Implementation::Octagonal_Shapes;
+ const N& m_ci_cj = m_ci[coherent_index(j)];
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ // The following variables of mpq_class type are used to be precise
+ // when the octagon is defined by integer constraints.
+ PPL_DIRTY_TEMP(mpq_class, q_x);
+ PPL_DIRTY_TEMP(mpq_class, q_y);
+ PPL_DIRTY_TEMP(mpq_class, d);
+ PPL_DIRTY_TEMP(mpq_class, d1);
+ PPL_DIRTY_TEMP(mpq_class, c_denom);
+ PPL_DIRTY_TEMP(mpq_class, q_denom);
+ assign_r(c_denom, coeff, ROUND_NOT_NEEDED);
+ assign_r(d, c_term, ROUND_NOT_NEEDED);
+ neg_assign_r(d1, d, ROUND_NOT_NEEDED);
+ div_assign_r(d, d, c_denom, ROUND_NOT_NEEDED);
+ div_assign_r(d1, d1, c_denom, ROUND_NOT_NEEDED);
+
+ if (is_plus_infinity(m_i_j)) {
+ if (!is_plus_infinity(m_ci_cj)) {
+ // `*this' is in the following form:
+ // `-m_ci_cj <= v - u'.
+ // In this case `*this' is disjoint from `c' if
+ // `-m_ci_cj > d' (`-m_ci_cj >= d' if c is a strict inequality),
+ // i.e., if `m_ci_cj < d1' (`m_ci_cj <= d1'
+ // if c is a strict inequality).
+ numer_denom(m_ci_cj, numer, denom);
+ assign_r(q_denom, denom, ROUND_NOT_NEEDED);
+ assign_r(q_y, numer, ROUND_NOT_NEEDED);
+ div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
+ if (q_y < d1)
+ return Poly_Con_Relation::is_disjoint();
+ if (q_y == d1 && c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ }
+
+ // In all other cases `*this' intersects `c'.
+ return Poly_Con_Relation::strictly_intersects();
+ }
+
+ // Here `m_i_j' is not plus-infinity.
+ numer_denom(m_i_j, numer, denom);
+ assign_r(q_denom, denom, ROUND_NOT_NEEDED);
+ assign_r(q_x, numer, ROUND_NOT_NEEDED);
+ div_assign_r(q_x, q_x, q_denom, ROUND_NOT_NEEDED);
+
+ if (!is_plus_infinity(m_ci_cj)) {
+ numer_denom(m_ci_cj, numer, denom);
+ assign_r(q_denom, denom, ROUND_NOT_NEEDED);
+ assign_r(q_y, numer, ROUND_NOT_NEEDED);
+ div_assign_r(q_y, q_y, q_denom, ROUND_NOT_NEEDED);
+ if (q_x == d && q_y == d1) {
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
+ }
+ // `*this' is disjoint from `c' when
+ // `m_ci_cj < d1' (`m_ci_cj <= d1' if `c' is a strict inequality).
+ if (q_y < d1)
+ return Poly_Con_Relation::is_disjoint();
+ if (q_y == d1 && c.is_strict_inequality())
+ return Poly_Con_Relation::is_disjoint();
+ }
+
+ // Here `m_ci_cj' can be also plus-infinity.
+ // If `c' is an equality, `*this' is disjoint from `c' if
+ // `m_i_j < d'.
+ if (d > q_x) {
+ if (c.is_equality())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::is_included();
+ }
+
+ if (d == q_x && c.is_nonstrict_inequality())
+ return Poly_Con_Relation::is_included();
+
+ // In all other cases `*this' intersects `c'.
+ return Poly_Con_Relation::strictly_intersects();
+}
+
+template <typename T>
+Poly_Gen_Relation
+Octagonal_Shape<T>::relation_with(const Generator& g) const {
+ const dimension_type g_space_dim = g.space_dimension();
+
+ // Dimension-compatibility check.
+ if (space_dim < g_space_dim)
+ throw_dimension_incompatible("relation_with(g)", g);
+
+ // The closure needs to make explicit the implicit constraints and if the
+ // octagon is empty.
+ strong_closure_assign();
+
+ // The empty octagon cannot subsume a generator.
+ if (marked_empty())
+ return Poly_Gen_Relation::nothing();
+
+ // A universe octagon in a zero-dimensional space subsumes
+ // all the generators of a zero-dimensional space.
+ if (space_dim == 0)
+ return Poly_Gen_Relation::subsumes();
+
+ const bool is_line = g.is_line();
+ const bool is_line_or_ray = g.is_line_or_ray();
+
+ // The relation between the octagon and the given generator is obtained
+ // checking if the generator satisfies all the constraints in the octagon.
+ // To check if the generator satisfies all the constraints it's enough
+ // studying the sign of the scalar product between the generator and
+ // all the constraints in the octagon.
+
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ PPL_DIRTY_TEMP_COEFFICIENT(product);
+
+ // We find in `*this' all the constraints.
+ for (row_iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
+ dimension_type i = i_iter.index();
+ row_reference m_i = *i_iter;
+ row_reference m_ii = *(i_iter + 1);
+ const N& m_i_ii = m_i[i + 1];
+ const N& m_ii_i = m_ii[i];
+ // We have the unary constraints.
+ const Variable x(i/2);
+ const Coefficient& g_coeff_x
+ = (x.space_dimension() > g_space_dim)
+ ? Coefficient_zero()
+ : g.coefficient(x);
+ if (is_additive_inverse(m_i_ii, m_ii_i)) {
+ // The constraint has form ax = b.
+ // To satisfy the constraint it is necessary that the scalar product
+ // is not zero. The scalar product has the form
+ // 'denom * g_coeff_x - numer * g.divisor()'.
+ numer_denom(m_ii_i, numer, denom);
+ denom *= 2;
+ product = denom * g_coeff_x;
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (product != 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ // We have 0, 1 or 2 inequality constraints.
+ else {
+ if (!is_plus_infinity(m_i_ii)) {
+ // The constraint has form -ax <= b.
+ // If the generator is a line it's necessary to check if
+ // the scalar product is not zero, if it is positive otherwise.
+ numer_denom(m_i_ii, numer, denom);
+ denom *= -2;
+ product = denom * g_coeff_x;
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (is_line && product != 0)
+ return Poly_Gen_Relation::nothing();
+ else
+ // If the generator is not a line it's necessary to check
+ // that the scalar product sign is not positive and the scalar
+ // product has the form
+ // '-denom * g.coeff_x - numer * g.divisor()'.
+ if (product > 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ if (!is_plus_infinity(m_ii_i)) {
+ // The constraint has form ax <= b.
+ numer_denom(m_ii_i, numer, denom);
+ denom *= 2;
+ product = denom * g_coeff_x;
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer , g.divisor());
+ }
+ if (is_line && product != 0)
+ return Poly_Gen_Relation::nothing();
+ else
+ // If the generator is not a line it's necessary to check
+ // that the scalar product sign is not positive and the scalar
+ // product has the form
+ // 'denom * g_coeff_x - numer * g.divisor()'.
+ if (product > 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ }
+ }
+
+ // We have the binary constraints.
+ for (row_iterator i_iter = m_begin ; i_iter != m_end; i_iter += 2) {
+ dimension_type i = i_iter.index();
+ row_reference m_i = *i_iter;
+ row_reference m_ii = *(i_iter + 1);
+ for (dimension_type j = 0; j < i; j += 2) {
+ const N& m_i_j = m_i[j];
+ const N& m_ii_jj = m_ii[j + 1];
+ const N& m_ii_j = m_ii[j];
+ const N& m_i_jj = m_i[j + 1];
+ const Variable x(j/2);
+ const Variable y(i/2);
+ const Coefficient& g_coeff_x
+ = (x.space_dimension() > g_space_dim)
+ ? Coefficient_zero()
+ : g.coefficient(x);
+ const Coefficient& g_coeff_y
+ = (y.space_dimension() > g_space_dim)
+ ? Coefficient_zero()
+ : g.coefficient(y);
+
+ const bool difference_is_equality = is_additive_inverse(m_ii_jj, m_i_j);
+ if (difference_is_equality) {
+ // The constraint has form a*x - a*y = b.
+ // The scalar product has the form
+ // 'denom * coeff_x - denom * coeff_y - numer * g.divisor()'.
+ // To satisfy the constraint it's necessary that the scalar product
+ // is not zero.
+ numer_denom(m_i_j, numer, denom);
+ product = denom * g_coeff_x;
+ neg_assign(denom);
+ add_mul_assign(product, denom, g_coeff_y);
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (product != 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ else {
+ if (!is_plus_infinity(m_i_j)) {
+ // The constraint has form a*x - a*y <= b.
+ // The scalar product has the form
+ // 'denom * coeff_x - denom * coeff_y - numer * g.divisor()'.
+ // If the generator is not a line it's necessary to check
+ // that the scalar product sign is not positive.
+ numer_denom(m_i_j, numer, denom);
+ product = denom * g_coeff_x;
+ neg_assign(denom);
+ add_mul_assign(product, denom, g_coeff_y);
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (is_line && product != 0)
+ return Poly_Gen_Relation::nothing();
+ else if (product > 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ if (!is_plus_infinity(m_ii_jj)) {
+ // The constraint has form -a*x + a*y <= b.
+ // The scalar product has the form
+ // '-denom * coeff_x + denom * coeff_y - numer * g.divisor()'.
+ // If the generator is not a line it's necessary to check
+ // that the scalar product sign is not positive.
+ numer_denom(m_ii_jj, numer, denom);
+ product = denom * g_coeff_y;
+ neg_assign(denom);
+ add_mul_assign(product, denom, g_coeff_x);
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (is_line && product != 0)
+ return Poly_Gen_Relation::nothing();
+ else if (product > 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ }
+
+ const bool sum_is_equality = is_additive_inverse(m_i_jj, m_ii_j);
+ if (sum_is_equality) {
+ // The constraint has form a*x + a*y = b.
+ // The scalar product has the form
+ // 'denom * coeff_x + denom * coeff_y - numer * g.divisor()'.
+ // To satisfy the constraint it's necessary that the scalar product
+ // is not zero.
+ numer_denom(m_ii_j, numer, denom);
+ product = denom * g_coeff_x;
+ add_mul_assign(product, denom, g_coeff_y);
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (product != 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ else {
+ if (!is_plus_infinity(m_i_jj)) {
+ // The constraint has form -a*x - a*y <= b.
+ // The scalar product has the form
+ // '-denom * coeff_x - denom * coeff_y - numer * g.divisor()'.
+ // If the generator is not a line it's necessary to check
+ // that the scalar product sign is not positive.
+ numer_denom(m_i_jj, numer, denom);
+ neg_assign(denom);
+ product = denom * g_coeff_x;
+ add_mul_assign(product, denom, g_coeff_y);
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (is_line && product != 0)
+ return Poly_Gen_Relation::nothing();
+ else if (product > 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ if (!is_plus_infinity(m_ii_j)) {
+ // The constraint has form a*x + a*y <= b.
+ // The scalar product has the form
+ // 'denom * coeff_x + denom * coeff_y - numer * g.divisor()'.
+ // If the generator is not a line it's necessary to check
+ // that the scalar product sign is not positive.
+ numer_denom(m_ii_j, numer, denom);
+ product = denom * g_coeff_x;
+ add_mul_assign(product, denom, g_coeff_y);
+ // Note that if the generator `g' is a line or a ray,
+ // its divisor is zero.
+ if (!is_line_or_ray) {
+ neg_assign(numer);
+ add_mul_assign(product, numer, g.divisor());
+ }
+ if (is_line && product != 0)
+ return Poly_Gen_Relation::nothing();
+ else if (product > 0)
+ return Poly_Gen_Relation::nothing();
+ }
+ }
+ }
+ }
+ // If this point is reached the constraint 'g' satisfies
+ // all the constraints in the octagon.
+ return Poly_Gen_Relation::subsumes();
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::strong_closure_assign() const {
+ // Do something only if necessary (zero-dim implies strong closure).
+ if (marked_empty() || marked_strongly_closed() || space_dim == 0)
+ return;
+
+ // Even though the octagon will not change, its internal representation
+ // is going to be modified by the closure algorithm.
+ Octagonal_Shape& x = const_cast<Octagonal_Shape<T>&>(*this);
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+
+ const dimension_type n_rows = x.matrix.num_rows();
+ const row_iterator m_begin = x.matrix.row_begin();
+ const row_iterator m_end = x.matrix.row_end();
+
+ // Fill the main diagonal with zeros.
+ for (row_iterator i = m_begin; i != m_end; ++i) {
+ PPL_ASSERT(is_plus_infinity((*i)[i.index()]));
+ assign_r((*i)[i.index()], 0, ROUND_NOT_NEEDED);
+ }
+
+ // This algorithm is given by two steps: the first one is a simple
+ // adaptation of the `shortest-path closure' using the Floyd-Warshall
+ // algorithm; the second one is the `strong-coherence' algorithm.
+ // It is important to note that after the strong-coherence,
+ // the octagon is still shortest-path closed and hence, strongly closed.
+
+ // Recall that, given an index `h', we indicate with `ch' the coherent
+ // index, i.e., the index such that:
+ // ch = h + 1, if h is an even number;
+ // ch = h - 1, if h is an odd number.
+
+ typename OR_Matrix<N>::element_iterator iter_ij;
+ std::vector<N> vec_k(n_rows);
+ std::vector<N> vec_ck(n_rows);
+ PPL_DIRTY_TEMP(N, sum1);
+ PPL_DIRTY_TEMP(N, sum2);
+ row_reference x_k;
+ row_reference x_ck;
+ row_reference x_i;
+ row_reference x_ci;
+
+ // Since the index `j' of the inner loop will go from 0 up to `i',
+ // the three nested loops have to be executed twice.
+ for (int twice = 0; twice < 2; ++twice) {
+
+ row_iterator x_k_iter = m_begin;
+ row_iterator x_i_iter = m_begin;
+ for (dimension_type k = 0; k < n_rows; k += 2) {
+ const dimension_type ck = k + 1;
+ // Re-initialize the element iterator.
+ iter_ij = x.matrix.element_begin();
+ // Compute the row references `x_k' and `x_ck'.
+ x_k = *x_k_iter;
+ ++x_k_iter;
+ x_ck = *x_k_iter;
+ ++x_k_iter;
+
+ for (dimension_type i = 0; i <= k; i += 2) {
+ const dimension_type ci = i + 1;
+ // Storing x_k_i == x_ci_ck.
+ vec_k[i] = x_k[i];
+ // Storing x_k_ci == x_i_ck.
+ vec_k[ci] = x_k[ci];
+ // Storing x_ck_i == x_ci_k.
+ vec_ck[i] = x_ck[i];
+ // Storing x_ck_ci == x_i_k.
+ vec_ck[ci] = x_ck[ci];
+ }
+ x_i_iter = x_k_iter;
+ for (dimension_type i = k + 2; i < n_rows; i += 2) {
+ const dimension_type ci = i + 1;
+ x_i = *x_i_iter;
+ ++x_i_iter;
+ x_ci = *x_i_iter;
+ ++x_i_iter;
+ // Storing x_k_i == x_ci_ck.
+ vec_k[i] = x_ci[ck];
+ // Storing x_k_ci == x_i_ck.
+ vec_k[ci] = x_i[ck];
+ // Storing x_ck_i == x_ci_k.
+ vec_ck[i] = x_ci[k];
+ // Storing x_ck_ci == x_i_k.
+ vec_ck[ci] = x_i[k];
+ }
+
+ for (dimension_type i = 0; i < n_rows; ++i) {
+ using namespace Implementation::Octagonal_Shapes;
+ const dimension_type ci = coherent_index(i);
+ const N& vec_k_ci = vec_k[ci];
+ const N& vec_ck_ci = vec_ck[ci];
+ // Unfolding two iterations on `j': this ensures that
+ // the loop exit condition `j <= i' is OK.
+ for (dimension_type j = 0; j <= i; ) {
+ // First iteration: compute
+ //
+ // <CODE>
+ // sum1 = x_i_k + x_k_j == x_ck_ci + x_k_j;
+ // sum2 = x_i_ck + x_ck_j == x_k_ci + x_ck_j;
+ // </CODE>
+ add_assign_r(sum1, vec_ck_ci, vec_k[j], ROUND_UP);
+ add_assign_r(sum2, vec_k_ci, vec_ck[j], ROUND_UP);
+ min_assign(sum1, sum2);
+ min_assign(*iter_ij, sum1);
+ // Exiting the first iteration: loop index control.
+ ++j;
+ ++iter_ij;
+ // Second iteration: ditto.
+ add_assign_r(sum1, vec_ck_ci, vec_k[j], ROUND_UP);
+ add_assign_r(sum2, vec_k_ci, vec_ck[j], ROUND_UP);
+ min_assign(sum1, sum2);
+ min_assign(*iter_ij, sum1);
+ // Exiting the second iteration: loop index control.
+ ++j;
+ ++iter_ij;
+ }
+ }
+ }
+ }
+
+ // Check for emptiness: the octagon is empty if and only if there is a
+ // negative value in the main diagonal.
+ for (row_iterator i = m_begin; i != m_end; ++i) {
+ N& x_i_i = (*i)[i.index()];
+ if (sgn(x_i_i) < 0) {
+ x.set_empty();
+ return;
+ }
+ else {
+ PPL_ASSERT(sgn(x_i_i) == 0);
+ // Restore PLUS_INFINITY on the main diagonal.
+ assign_r(x_i_i, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+
+ // Step 2: we enforce the strong coherence.
+ x.strong_coherence_assign();
+ // The octagon is not empty and it is now strongly closed.
+ x.set_strongly_closed();
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::strong_coherence_assign() {
+ // The strong-coherence is: for every indexes i and j
+ // m_i_j <= (m_i_ci + m_cj_j)/2
+ // where ci = i + 1, if i is even number or
+ // ci = i - 1, if i is odd.
+ // Ditto for cj.
+ PPL_DIRTY_TEMP(N, semi_sum);
+ for (typename OR_Matrix<N>::row_iterator i_iter = matrix.row_begin(),
+ i_end = matrix.row_end(); i_iter != i_end; ++i_iter) {
+ typename OR_Matrix<N>::row_reference_type x_i = *i_iter;
+ const dimension_type i = i_iter.index();
+ using namespace Implementation::Octagonal_Shapes;
+ const N& x_i_ci = x_i[coherent_index(i)];
+ // Avoid to do unnecessary sums.
+ if (!is_plus_infinity(x_i_ci))
+ for (dimension_type j = 0, rs_i = i_iter.row_size(); j < rs_i; ++j)
+ if (i != j) {
+ const N& x_cj_j = matrix[coherent_index(j)][j];
+ if (!is_plus_infinity(x_cj_j)) {
+ add_assign_r(semi_sum, x_i_ci, x_cj_j, ROUND_UP);
+ div_2exp_assign_r(semi_sum, semi_sum, 1, ROUND_UP);
+ min_assign(x_i[j], semi_sum);
+ }
+ }
+ }
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::tight_coherence_would_make_empty() const {
+ PPL_ASSERT(std::numeric_limits<N>::is_integer);
+ PPL_ASSERT(marked_strongly_closed());
+ const dimension_type space_dim = space_dimension();
+ for (dimension_type i = 0; i < 2*space_dim; i += 2) {
+ const dimension_type ci = i + 1;
+ const N& mat_i_ci = matrix[i][ci];
+ if (!is_plus_infinity(mat_i_ci)
+ // Check for oddness of `mat_i_ci'.
+ && !is_even(mat_i_ci)
+ // Check for zero-equivalence of `i' and `ci'.
+ && is_additive_inverse(mat_i_ci, matrix[ci][i]))
+ return true;
+ }
+ return false;
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::tight_closure_assign() {
+ PPL_COMPILE_TIME_CHECK(std::numeric_limits<T>::is_integer,
+ "Octagonal_Shape<T>::tight_closure_assign():"
+ " T in not an integer datatype.");
+ // FIXME: this is just an executable specification.
+ // (The following call could be replaced by shortest-path closure.)
+ strong_closure_assign();
+ if (marked_empty())
+ return;
+ if (tight_coherence_would_make_empty())
+ set_empty();
+ else {
+ // Tighten the unary constraints.
+ PPL_DIRTY_TEMP(N, temp_one);
+ assign_r(temp_one, 1, ROUND_NOT_NEEDED);
+ const dimension_type space_dim = space_dimension();
+ for (dimension_type i = 0; i < 2*space_dim; i += 2) {
+ const dimension_type ci = i + 1;
+ N& mat_i_ci = matrix[i][ci];
+ if (!is_plus_infinity(mat_i_ci) && !is_even(mat_i_ci))
+ sub_assign_r(mat_i_ci, mat_i_ci, temp_one, ROUND_UP);
+ N& mat_ci_i = matrix[ci][i];
+ if (!is_plus_infinity(mat_ci_i) && !is_even(mat_ci_i))
+ sub_assign_r(mat_ci_i, mat_ci_i, temp_one, ROUND_UP);
+ }
+ // Propagate tightened unary constraints.
+ strong_coherence_assign();
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::incremental_strong_closure_assign(const Variable var) const {
+ // `var' should be one of the dimensions of the octagon.
+ if (var.id() >= space_dim)
+ throw_dimension_incompatible("incremental_strong_closure_assign(v)",
+ var.id());
+
+ // Do something only if necessary.
+ if (marked_empty() || marked_strongly_closed())
+ return;
+
+ Octagonal_Shape& x = const_cast<Octagonal_Shape<T>&>(*this);
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+
+ const row_iterator m_begin = x.matrix.row_begin();
+ const row_iterator m_end = x.matrix.row_end();
+
+ // Fill the main diagonal with zeros.
+ for (row_iterator i = m_begin; i != m_end; ++i) {
+ PPL_ASSERT(is_plus_infinity((*i)[i.index()]));
+ assign_r((*i)[i.index()], 0, ROUND_NOT_NEEDED);
+ }
+
+ // Using the incremental Floyd-Warshall algorithm.
+ // Step 1: Improve all constraints on variable `var'.
+ const dimension_type v = 2*var.id();
+ const dimension_type cv = v + 1;
+ row_iterator v_iter = m_begin + v;
+ row_iterator cv_iter = v_iter + 1;
+ row_reference x_v = *v_iter;
+ row_reference x_cv = *cv_iter;
+ const dimension_type rs_v = v_iter.row_size();
+ const dimension_type n_rows = x.matrix.num_rows();
+ PPL_DIRTY_TEMP(N, sum);
+ using namespace Implementation::Octagonal_Shapes;
+ for (row_iterator k_iter = m_begin; k_iter != m_end; ++k_iter) {
+ const dimension_type k = k_iter.index();
+ const dimension_type ck = coherent_index(k);
+ const dimension_type rs_k = k_iter.row_size();
+ row_reference x_k = *k_iter;
+ row_reference x_ck = (k % 2 != 0) ? *(k_iter-1) : *(k_iter + 1);
+
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
+ const dimension_type i = i_iter.index();
+ const dimension_type ci = coherent_index(i);
+ const dimension_type rs_i = i_iter.row_size();
+ row_reference x_i = *i_iter;
+ row_reference x_ci = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
+
+ const N& x_i_k = (k < rs_i) ? x_i[k] : x_ck[ci];
+ if (!is_plus_infinity(x_i_k)) {
+ const N& x_k_v = (v < rs_k) ? x_k[v] : x_cv[ck];
+ if (!is_plus_infinity(x_k_v)) {
+ add_assign_r(sum, x_i_k, x_k_v, ROUND_UP);
+ N& x_i_v = (v < rs_i) ? x_i[v] : x_cv[ci];
+ min_assign(x_i_v, sum);
+ }
+ const N& x_k_cv = (cv < rs_k) ? x_k[cv] : x_v[ck];
+ if (!is_plus_infinity(x_k_cv)) {
+ add_assign_r(sum, x_i_k, x_k_cv, ROUND_UP);
+ N& x_i_cv = (cv < rs_i) ? x_i[cv] : x_v[ci];
+ min_assign(x_i_cv, sum);
+ }
+ }
+ const N& x_k_i = (i < rs_k) ? x_k[i] : x_ci[ck];
+ if (!is_plus_infinity(x_k_i)) {
+ const N& x_v_k = (k < rs_v) ? x_v[k] : x_ck[cv];
+ if (!is_plus_infinity(x_v_k)) {
+ N& x_v_i = (i < rs_v) ? x_v[i] : x_ci[cv];
+ add_assign_r(sum, x_v_k, x_k_i, ROUND_UP);
+ min_assign(x_v_i, sum);
+ }
+ const N& x_cv_k = (k < rs_v) ? x_cv[k] : x_ck[v];
+ if (!is_plus_infinity(x_cv_k)) {
+ N& x_cv_i = (i < rs_v) ? x_cv[i] : x_ci[v];
+ add_assign_r(sum, x_cv_k, x_k_i, ROUND_UP);
+ min_assign(x_cv_i, sum);
+ }
+ }
+
+ }
+ }
+
+ // Step 2: improve the other bounds by using the precise bounds
+ // for the constraints on `var'.
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
+ const dimension_type i = i_iter.index();
+ const dimension_type ci = coherent_index(i);
+ const dimension_type rs_i = i_iter.row_size();
+ row_reference x_i = *i_iter;
+ const N& x_i_v = (v < rs_i) ? x_i[v] : x_cv[ci];
+ // TODO: see if it is possible to optimize this inner loop
+ // by splitting it into several parts, so as to avoid
+ // conditional expressions.
+ for (dimension_type j = 0; j < n_rows; ++j) {
+ const dimension_type cj = coherent_index(j);
+ row_reference x_cj = *(m_begin + cj);
+ N& x_i_j = (j < rs_i) ? x_i[j] : x_cj[ci];
+ if (!is_plus_infinity(x_i_v)) {
+ const N& x_v_j = (j < rs_v) ? x_v[j] : x_cj[cv];
+ if (!is_plus_infinity(x_v_j)) {
+ add_assign_r(sum, x_i_v, x_v_j, ROUND_UP);
+ min_assign(x_i_j, sum);
+ }
+ }
+ const N& x_i_cv = (cv < rs_i) ? x_i[cv] : x_v[ci];
+ if (!is_plus_infinity(x_i_cv)) {
+ const N& x_cv_j = (j < rs_v) ? x_cv[j] : x_cj[v];
+ if (!is_plus_infinity(x_cv_j)) {
+ add_assign_r(sum, x_i_cv, x_cv_j, ROUND_UP);
+ min_assign(x_i_j, sum);
+ }
+ }
+ }
+ }
+
+ // Check for emptiness: the octagon is empty if and only if there is a
+ // negative value on the main diagonal.
+ for (row_iterator i = m_begin; i != m_end; ++i) {
+ N& x_i_i = (*i)[i.index()];
+ if (sgn(x_i_i) < 0) {
+ x.set_empty();
+ return;
+ }
+ else {
+ // Restore PLUS_INFINITY on the main diagonal.
+ PPL_ASSERT(sgn(x_i_i) == 0);
+ assign_r(x_i_i, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+
+ // Step 3: we enforce the strong coherence.
+ x.strong_coherence_assign();
+ // The octagon is not empty and it is now strongly closed.
+ x.set_strongly_closed();
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::compute_successors(std::vector<dimension_type>& successor) const {
+ PPL_ASSERT(!marked_empty() && marked_strongly_closed());
+ PPL_ASSERT(successor.size() == 0);
+ // Variables are ordered according to their index.
+ // The vector `successor' is used to indicate which variable
+ // immediately follows a given one in the corresponding equivalence class.
+ const dimension_type successor_size = matrix.num_rows();
+ // Initially, each variable is successor of its own zero-equivalence class.
+ successor.reserve(successor_size);
+ for (dimension_type i = 0; i < successor_size; ++i)
+ successor.push_back(i);
+ // Now compute actual successors.
+ for (dimension_type i = successor_size; i-- > 0; ) {
+ typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin() + i;
+ typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
+ typename OR_Matrix<N>::const_row_reference_type m_ci
+ = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
+ for (dimension_type j = 0; j < i; ++j) {
+ // FIXME: what is the following, commented-out for?
+ //for (dimension_type j = i; j-- > 0; ) {
+ using namespace Implementation::Octagonal_Shapes;
+ dimension_type cj = coherent_index(j);
+ if (is_additive_inverse(m_ci[cj], m_i[j]))
+ // Choose as successor the variable having the greatest index.
+ successor[j] = i;
+ }
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::compute_leaders(std::vector<dimension_type>& leaders) const {
+ PPL_ASSERT(!marked_empty() && marked_strongly_closed());
+ PPL_ASSERT(leaders.size() == 0);
+ // Variables are ordered according to their index.
+ // The vector `leaders' is used to indicate the smallest variable
+ // that belongs to the corresponding equivalence class.
+ const dimension_type leader_size = matrix.num_rows();
+ // Initially, each variable is leader of its own zero-equivalence class.
+ leaders.reserve(leader_size);
+ for (dimension_type i = 0; i < leader_size; ++i)
+ leaders.push_back(i);
+ // Now compute actual leaders.
+ for (typename OR_Matrix<N>::const_row_iterator i_iter = matrix.row_begin(),
+ matrix_row_end = matrix.row_end();
+ i_iter != matrix_row_end; ++i_iter) {
+ typename OR_Matrix<N>::const_row_reference_type m_i = *i_iter;
+ dimension_type i = i_iter.index();
+ typename OR_Matrix<N>::const_row_reference_type m_ci
+ = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
+ for (dimension_type j = 0; j < i; ++j) {
+ using namespace Implementation::Octagonal_Shapes;
+ dimension_type cj = coherent_index(j);
+ if (is_additive_inverse(m_ci[cj], m_i[j]))
+ // Choose as leader the variable having the smaller index.
+ leaders[i] = leaders[j];
+ }
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::compute_leaders(std::vector<dimension_type>& successor,
+ std::vector<dimension_type>& no_sing_leaders,
+ bool& exist_sing_class,
+ dimension_type& sing_leader) const {
+ PPL_ASSERT(!marked_empty() && marked_strongly_closed());
+ PPL_ASSERT(no_sing_leaders.size() == 0);
+ dimension_type successor_size = successor.size();
+ std::deque<bool> dealt_with(successor_size, false);
+ for (dimension_type i = 0; i < successor_size; ++i) {
+ dimension_type next_i = successor[i];
+ if (!dealt_with[i]) {
+ // The index is a leader.
+ // Now check if it is a leader of a singular class or not.
+ using namespace Implementation::Octagonal_Shapes;
+ if (next_i == coherent_index(i)) {
+ exist_sing_class = true;
+ sing_leader = i;
+ }
+ else
+ no_sing_leaders.push_back(i);
+ }
+ // The following index is not a leader.
+ dealt_with[next_i] = true;
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::strong_reduction_assign() const {
+ // Zero-dimensional octagonal shapes are necessarily reduced.
+ if (space_dim == 0)
+ return;
+ strong_closure_assign();
+ // If `*this' is empty, then there is nothing to reduce.
+ if (marked_empty())
+ return;
+
+ // Detect non-redundant constraints.
+ std::vector<Bit_Row> non_red;
+ non_redundant_matrix_entries(non_red);
+
+ // Throw away redundant constraints.
+ Octagonal_Shape<T>& x = const_cast<Octagonal_Shape<T>&>(*this);
+#ifndef NDEBUG
+ const Octagonal_Shape x_copy_before(x);
+#endif
+ typename OR_Matrix<N>::element_iterator x_i = x.matrix.element_begin();
+ for (dimension_type i = 0; i < 2 * space_dim; ++i) {
+ const Bit_Row& non_red_i = non_red[i];
+ for (dimension_type j = 0,
+ j_end = OR_Matrix<N>::row_size(i); j < j_end; ++j, ++x_i) {
+ if (!non_red_i[j])
+ assign_r(*x_i, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+ x.reset_strongly_closed();
+#ifndef NDEBUG
+ const Octagonal_Shape x_copy_after(x);
+ PPL_ASSERT(x_copy_before == x_copy_after);
+ PPL_ASSERT(x.is_strongly_reduced());
+ PPL_ASSERT(x.OK());
+#endif
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::non_redundant_matrix_entries(std::vector<Bit_Row>& non_redundant) const {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(space_dim > 0 && !marked_empty() && marked_strongly_closed());
+ PPL_ASSERT(non_redundant.empty());
+
+ // Initialize `non_redundant' as if it was an OR_Matrix of booleans
+ // (initially set to false).
+ non_redundant.resize(2*space_dim);
+
+ // Step 1: compute zero-equivalence classes.
+ // Variables corresponding to indices `i' and `j' are zero-equivalent
+ // if they lie on a zero-weight loop; since the matrix is strongly
+ // closed, this happens if and only if matrix[i][j] == -matrix[ci][cj].
+ std::vector<dimension_type> no_sing_leaders;
+ dimension_type sing_leader = 0;
+ bool exist_sing_class = false;
+ std::vector<dimension_type> successor;
+ compute_successors(successor);
+ compute_leaders(successor, no_sing_leaders, exist_sing_class, sing_leader);
+ const dimension_type num_no_sing_leaders = no_sing_leaders.size();
+
+
+ // Step 2: flag redundant constraints in `redundancy'.
+ // Go through non-singular leaders first.
+ for (dimension_type li = 0; li < num_no_sing_leaders; ++li) {
+ const dimension_type i = no_sing_leaders[li];
+ using namespace Implementation::Octagonal_Shapes;
+ const dimension_type ci = coherent_index(i);
+ typename OR_Matrix<N>::const_row_reference_type
+ m_i = *(matrix.row_begin() + i);
+ if (i % 2 == 0) {
+ // Each positive equivalence class must have a single 0-cycle
+ // connecting all equivalent variables in increasing order.
+ // Note: by coherence assumption, the variables in the
+ // corresponding negative equivalence class are
+ // automatically connected.
+ if (i != successor[i]) {
+ dimension_type j = i;
+ dimension_type next_j = successor[j];
+ while (j != next_j) {
+ non_redundant[next_j].set(j);
+ j = next_j;
+ next_j = successor[j];
+ }
+ const dimension_type cj = coherent_index(j);
+ non_redundant[cj].set(ci);
+ }
+ }
+
+ dimension_type rs_li = (li % 2 != 0) ? li : (li + 1);
+ // Check if the constraint is redundant.
+ PPL_DIRTY_TEMP(N, tmp);
+ for (dimension_type lj = 0 ; lj <= rs_li; ++lj) {
+ const dimension_type j = no_sing_leaders[lj];
+ const dimension_type cj = coherent_index(j);
+ const N& m_i_j = m_i[j];
+ const N& m_i_ci = m_i[ci];
+ bool to_add = true;
+ // Control if the constraint is redundant by strong-coherence,
+ // that is:
+ // m_i_j >= (m_i_ci + m_cj_j)/2, where j != ci.
+ if (j != ci) {
+ add_assign_r(tmp, m_i_ci, matrix[cj][j], ROUND_UP);
+ div_2exp_assign_r(tmp, tmp, 1, ROUND_UP);
+ if (m_i_j >= tmp)
+ // The constraint is redundant.
+ continue;
+ }
+ // Control if the constraint is redundant by strong closure, that is
+ // if there is a path from i to j (i = i_0, ... , i_n = j), such that
+ // m_i_j = sum_{k=0}^{n-1} m_{i_k}_{i_(k + 1)}.
+ // Since the octagon is already strongly closed, the above relation
+ // is reduced to three case, in accordance with k, i, j inter-depend:
+ // exit k such that
+ // 1.) m_i_j >= m_i_k + m_cj_ck, if k < j < i; or
+ // 2.) m_i_j >= m_i_k + m_k,_j, if j < k < i; or
+ // 3.) m_i_j >= m_ck_ci + m_k_j, if j < i < k.
+ // Note: `i > j'.
+ for (dimension_type lk = 0; lk < num_no_sing_leaders; ++lk) {
+ const dimension_type k = no_sing_leaders[lk];
+ if (k != i && k != j) {
+ dimension_type ck = coherent_index(k);
+ if (k < j)
+ // Case 1.
+ add_assign_r(tmp, m_i[k], matrix[cj][ck], ROUND_UP);
+ else if (k < i)
+ // Case 2.
+ add_assign_r(tmp, m_i[k], matrix[k][j], ROUND_UP);
+ else
+ // Case 3.
+ add_assign_r(tmp, matrix[ck][ci], matrix[k][j], ROUND_UP);
+
+ // Checks if the constraint is redundant.
+ if (m_i_j >= tmp) {
+ to_add = false;
+ break;
+ }
+ }
+ }
+
+ if (to_add)
+ // The constraint is not redundant.
+ non_redundant[i].set(j);
+ }
+ }
+
+ // If there exist a singular equivalence class, then it must have a
+ // single 0-cycle connecting all the positive and negative equivalent
+ // variables.
+ // Note: the singular class is not connected with the other classes.
+ if (exist_sing_class) {
+ non_redundant[sing_leader].set(sing_leader + 1);
+ if (successor[sing_leader + 1] != sing_leader + 1) {
+ dimension_type j = sing_leader;
+ dimension_type next_j = successor[j + 1];
+ while (next_j != j + 1) {
+ non_redundant[next_j].set(j);
+ j = next_j;
+ next_j = successor[j + 1];
+ }
+ non_redundant[j + 1].set(j);
+ }
+ else
+ non_redundant[sing_leader + 1].set(sing_leader);
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::upper_bound_assign(const Octagonal_Shape& y) {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("upper_bound_assign(y)", y);
+
+ // The hull of an octagon `x' with an empty octagon is `x'.
+ y.strong_closure_assign();
+ if (y.marked_empty())
+ return;
+ strong_closure_assign();
+ if (marked_empty()) {
+ *this = y;
+ return;
+ }
+
+ // The oct-hull is obtained by computing maxima.
+ typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
+ for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
+ matrix_element_end = matrix.element_end();
+ i != matrix_element_end; ++i, ++j)
+ max_assign(*i, *j);
+
+ // The result is still closed.
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::difference_assign(const Octagonal_Shape& y) {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("difference_assign(y)", y);
+
+ Octagonal_Shape& x = *this;
+
+ // Being lazy here is only harmful.
+ // We close.
+ x.strong_closure_assign();
+ // The difference of an empty octagon and of an octagon `p' is empty.
+ if (x.marked_empty())
+ return;
+ // The difference of a octagon `p' and an empty octagon is `p'.
+ if (y.marked_empty())
+ return;
+
+ // If both octagons are zero-dimensional,
+ // then at this point they are necessarily universe octagons,
+ // so that their difference is empty.
+ if (x.space_dim == 0) {
+ x.set_empty();
+ return;
+ }
+
+ // TODO: This is just an executable specification.
+ // Have to find a more efficient method.
+ if (y.contains(x)) {
+ x.set_empty();
+ return;
+ }
+
+ Octagonal_Shape new_oct(space_dim, EMPTY);
+ // We take a constraint of the octagon y at the time and we
+ // consider its complementary. Then we intersect the union
+ // of these complementary constraints with the octagon x.
+ const Constraint_System& y_cs = y.constraints();
+ for (Constraint_System::const_iterator i = y_cs.begin(),
+ y_cs_end = y_cs.end(); i != y_cs_end; ++i) {
+ const Constraint& c = *i;
+ // If the octagon `x' is included the octagon defined by `c',
+ // then `c' _must_ be skipped, as adding its complement to `x'
+ // would result in the empty octagon, and as we would obtain
+ // a result that is less precise than the difference.
+ if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
+ continue;
+ Octagonal_Shape z = x;
+ const Linear_Expression e(c.expression());
+ z.add_constraint(e <= 0);
+ if (!z.is_empty())
+ new_oct.upper_bound_assign(z);
+ if (c.is_equality()) {
+ z = x;
+ z.add_constraint(e >= 0);
+ if (!z.is_empty())
+ new_oct.upper_bound_assign(z);
+ }
+ }
+ *this = new_oct;
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::simplify_using_context_assign(const Octagonal_Shape& y) {
+ Octagonal_Shape& x = *this;
+ const dimension_type dim = x.space_dimension();
+ // Dimension-compatibility check.
+ if (dim != y.space_dimension())
+ throw_dimension_incompatible("simplify_using_context_assign(y)", y);
+
+ // Filter away the zero-dimensional case.
+ if (dim == 0) {
+ if (y.marked_empty()) {
+ x.set_zero_dim_univ();
+ return false;
+ }
+ else
+ return !x.marked_empty();
+ }
+
+ // Filter away the case where `x' contains `y'
+ // (this subsumes the case when `y' is empty).
+ if (x.contains(y)) {
+ Octagonal_Shape<T> res(dim, UNIVERSE);
+ x.m_swap(res);
+ return false;
+ }
+
+ typedef typename OR_Matrix<N>::row_iterator Row_Iter;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_CIter;
+ typedef typename OR_Matrix<N>::element_iterator Elem_Iter;
+ typedef typename OR_Matrix<N>::const_element_iterator Elem_CIter;
+
+ // Filter away the case where `x' is empty.
+ x.strong_closure_assign();
+ if (x.marked_empty()) {
+ // Search for a constraint of `y' that is not a tautology.
+ dimension_type i;
+ dimension_type j;
+ // Prefer unary constraints.
+ for (i = 0; i < 2*dim; i += 2) {
+ // FIXME: if N is a float or bounded integer type, then
+ // we also need to check that we are actually able to construct
+ // a constraint inconsistent with respect to this one.
+ // Use something like !is_maximal()?
+ if (!is_plus_infinity(y.matrix_at(i, i + 1))) {
+ j = i + 1;
+ goto found;
+ }
+ // Use something like !is_maximal()?
+ if (!is_plus_infinity(y.matrix_at(i + 1, i))) {
+ j = i;
+ ++i;
+ goto found;
+ }
+ }
+ // Then search binary constraints.
+ // TODO: use better iteration scheme.
+ for (i = 2; i < 2*dim; ++i)
+ for (j = 0; j < i; ++j) {
+ // Use something like !is_maximal()?
+ if (!is_plus_infinity(y.matrix_at(i, j)))
+ goto found;
+ }
+
+ // Not found: we were not able to build a constraint contradicting
+ // one of the constraints in `y': `x' cannot be enlarged.
+ return false;
+
+ found:
+ // Found: build a new OS contradicting the constraint found.
+ PPL_ASSERT(i < dim && j < dim && i != j);
+ Octagonal_Shape<T> res(dim, UNIVERSE);
+ // FIXME: compute a proper contradicting constraint.
+ PPL_DIRTY_TEMP(N, tmp);
+ assign_r(tmp, 1, ROUND_UP);
+ add_assign_r(tmp, tmp, y.matrix_at(i, j), ROUND_UP);
+ // CHECKME: round down is really meant.
+ neg_assign_r(res.matrix_at(j, i), tmp, ROUND_DOWN);
+ PPL_ASSERT(!is_plus_infinity(res.matrix_at(j, i)));
+ x.m_swap(res);
+ return false;
+ }
+
+ // Here `x' and `y' are not empty and strongly closed;
+ // also, `x' does not contain `y'.
+ // Let `target' be the intersection of `x' and `y'.
+ Octagonal_Shape<T> target = x;
+ target.intersection_assign(y);
+ const bool bool_result = !target.is_empty();
+
+ // Compute redundancy information for x and ...
+ // TODO: provide a nicer data structure for redundancy.
+ std::vector<Bit_Row> x_non_redundant;
+ x.non_redundant_matrix_entries(x_non_redundant);
+ // ... count the non-redundant constraints.
+ dimension_type x_num_non_redundant = 0;
+ for (size_t i = x_non_redundant.size(); i-- > 0 ; )
+ x_num_non_redundant += x_non_redundant[i].count_ones();
+ PPL_ASSERT(x_num_non_redundant > 0);
+
+ // Let `yy' be a copy of `y': we will keep adding to `yy'
+ // the non-redundant constraints of `x',
+ // stopping as soon as `yy' becomes equal to `target'.
+ Octagonal_Shape<T> yy = y;
+
+ // The constraints added to `yy' will be recorded in `res' ...
+ Octagonal_Shape<T> res(dim, UNIVERSE);
+ // ... and we will count them too.
+ dimension_type res_num_non_redundant = 0;
+
+ // Compute leader information for `x'.
+ std::vector<dimension_type> x_leaders;
+ x.compute_leaders(x_leaders);
+
+ // First go through the unary equality constraints.
+ // Find the leader of the singular equivalence class (it is even!).
+ dimension_type sing_leader;
+ for (sing_leader = 0; sing_leader < 2*dim; sing_leader += 2) {
+ if (sing_leader == x_leaders[sing_leader]) {
+ const N& x_s_ss = x.matrix_at(sing_leader, sing_leader + 1);
+ const N& x_ss_s = x.matrix_at(sing_leader + 1, sing_leader);
+ if (is_additive_inverse(x_s_ss, x_ss_s))
+ // Singular leader found.
+ break;
+ }
+ }
+
+ // Unary equalities have `sing_leader' as a leader.
+ for (dimension_type i = sing_leader; i < 2*dim; i += 2) {
+ if (x_leaders[i] != sing_leader)
+ continue;
+ // Found a unary equality constraint:
+ // see if any of the two inequalities have to be added.
+ const N& x_i_ii = x.matrix_at(i, i + 1);
+ N& yy_i_ii = yy.matrix_at(i, i + 1);
+ if (x_i_ii < yy_i_ii) {
+ // The \leq inequality is not implied by context.
+ res.matrix_at(i, i + 1) = x_i_ii;
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_i_ii = x_i_ii;
+ yy.reset_strongly_closed();
+ }
+ const N& x_ii_i = x.matrix_at(i + 1, i);
+ N& yy_ii_i = yy.matrix_at(i + 1, i);
+ if (x_ii_i < yy_ii_i) {
+ // The \geq inequality is not implied by context.
+ res.matrix_at(i + 1, i) = x_ii_i;
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_ii_i = x_ii_i;
+ yy.reset_strongly_closed();
+ }
+ // Restore strong closure, if it was lost.
+ if (!yy.marked_strongly_closed()) {
+ Variable var_i(i/2);
+ yy.incremental_strong_closure_assign(var_i);
+ if (target.contains(yy)) {
+ // Target reached: swap `x' and `res' if needed.
+ if (res_num_non_redundant < x_num_non_redundant) {
+ res.reset_strongly_closed();
+ x.m_swap(res);
+ }
+ return bool_result;
+ }
+ }
+ }
+
+ // Go through the binary equality constraints.
+ for (dimension_type i = 0; i < 2*dim; ++i) {
+ const dimension_type j = x_leaders[i];
+ if (j == i || j == sing_leader)
+ continue;
+ const N& x_i_j = x.matrix_at(i, j);
+ PPL_ASSERT(!is_plus_infinity(x_i_j));
+ N& yy_i_j = yy.matrix_at(i, j);
+ if (x_i_j < yy_i_j) {
+ res.matrix_at(i, j) = x_i_j;
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_i_j = x_i_j;
+ yy.reset_strongly_closed();
+ }
+ const N& x_j_i = x.matrix_at(j, i);
+ N& yy_j_i = yy.matrix_at(j, i);
+ PPL_ASSERT(!is_plus_infinity(x_j_i));
+ if (x_j_i < yy_j_i) {
+ res.matrix_at(j, i) = x_j_i;
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_j_i = x_j_i;
+ yy.reset_strongly_closed();
+ }
+ // Restore strong closure, if it was lost.
+ if (!yy.marked_strongly_closed()) {
+ Variable var_j(j/2);
+ yy.incremental_strong_closure_assign(var_j);
+ if (target.contains(yy)) {
+ // Target reached: swap `x' and `res' if needed.
+ if (res_num_non_redundant < x_num_non_redundant) {
+ res.reset_strongly_closed();
+ x.m_swap(res);
+ }
+ return bool_result;
+ }
+ }
+ }
+
+ // Finally go through the (proper) inequality constraints:
+ // both indices i and j should be leaders.
+ // FIXME: improve iteration scheme (are we doing twice the work?)
+ for (dimension_type i = 0; i < 2*dim; ++i) {
+ if (i != x_leaders[i])
+ continue;
+ const Bit_Row& x_non_redundant_i = x_non_redundant[i];
+ for (dimension_type j = 0; j < 2*dim; ++j) {
+ if (j != x_leaders[j])
+ continue;
+ if (i >= j) {
+ if (!x_non_redundant_i[j])
+ continue;
+ }
+ else if (!x_non_redundant[j][i])
+ continue;
+ N& yy_i_j = yy.matrix_at(i, j);
+ const N& x_i_j = x.matrix_at(i, j);
+ if (x_i_j < yy_i_j) {
+ res.matrix_at(i, j) = x_i_j;
+ ++res_num_non_redundant;
+ // Tighten context `yy' using the newly added constraint.
+ yy_i_j = x_i_j;
+ yy.reset_strongly_closed();
+ Variable var(i/2);
+ yy.incremental_strong_closure_assign(var);
+ if (target.contains(yy)) {
+ // Target reached: swap `x' and `res' if needed.
+ if (res_num_non_redundant < x_num_non_redundant) {
+ res.reset_strongly_closed();
+ x.m_swap(res);
+ }
+ return bool_result;
+ }
+ }
+ }
+ }
+ // This point should be unreachable.
+ PPL_UNREACHABLE;
+ return false;
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::add_space_dimensions_and_embed(dimension_type m) {
+ // Adding no dimensions is a no-op.
+ if (m == 0)
+ return;
+
+ const dimension_type new_dim = space_dim + m;
+ const bool was_zero_dim_univ = !marked_empty() && space_dim == 0;
+
+ // To embed an n-dimension space octagon in a (n + m)-dimension space,
+ // we just add `m' variables in the matrix of constraints.
+ matrix.grow(new_dim);
+ space_dim = new_dim;
+ // If `*this' was the zero-dim space universe octagon,
+ // then we can set the strongly closure flag.
+ if (was_zero_dim_univ)
+ set_strongly_closed();
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::add_space_dimensions_and_project(dimension_type m) {
+ // Adding no dimensions is a no-op.
+ if (m == 0)
+ return;
+
+ const dimension_type n = matrix.num_rows();
+
+ // To project an n-dimension space OS in a (space_dim + m)-dimension space,
+ // we just add `m' columns and rows in the matrix of constraints.
+ add_space_dimensions_and_embed(m);
+ // We insert 0 where it needs.
+ // Attention: now num_rows of matrix is update!
+ for (typename OR_Matrix<N>::row_iterator i = matrix.row_begin() + n,
+ matrix_row_end = matrix.row_end(); i != matrix_row_end; i += 2) {
+ typename OR_Matrix<N>::row_reference_type x_i = *i;
+ typename OR_Matrix<N>::row_reference_type x_ci = *(i + 1);
+ const dimension_type ind = i.index();
+ assign_r(x_i[ind + 1], 0, ROUND_NOT_NEEDED);
+ assign_r(x_ci[ind], 0, ROUND_NOT_NEEDED);
+ }
+
+ if (marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::remove_space_dimensions(const Variables_Set& vars) {
+ // The removal of no dimensions from any octagon is a no-op.
+ // Note that this case also captures the only legal removal of
+ // dimensions from a octagon in a 0-dim space.
+ if (vars.empty()) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dim < min_space_dim)
+ throw_dimension_incompatible("remove_space_dimensions(vs)", min_space_dim);
+
+ const dimension_type new_space_dim = space_dim - vars.size();
+
+ strong_closure_assign();
+ // When removing _all_ dimensions from an octagon,
+ // we obtain the zero-dimensional octagon.
+ if (new_space_dim == 0) {
+ matrix.shrink(0);
+ if (!marked_empty())
+ // We set the zero_dim_univ flag.
+ set_zero_dim_univ();
+ space_dim = 0;
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // We consider each variable and we check if it has to be removed.
+ // If it has to be removed, we pass to the next one, then we will
+ // overwrite its representation in the matrix.
+ typedef typename OR_Matrix<N>::element_iterator Elem_Iter;
+ typedef typename std::iterator_traits<Elem_Iter>::difference_type diff_t;
+
+ dimension_type first = *vars.begin();
+ const dimension_type first_size = 2 * first * (first + 1);
+ Elem_Iter iter = matrix.element_begin() + static_cast<diff_t>(first_size);
+
+ for (dimension_type i = first + 1; i < space_dim; ++i) {
+ if (vars.count(i) == 0) {
+ typename OR_Matrix<N>::row_iterator row_iter = matrix.row_begin() + 2*i;
+ typename OR_Matrix<N>::row_reference_type row_ref = *row_iter;
+ typename OR_Matrix<N>::row_reference_type row_ref1 = *(++row_iter);
+ // Beware: first we shift the cells corresponding to the first
+ // row of variable(j), then we shift the cells corresponding to the
+ // second row. We recall that every variable is represented
+ // in the `matrix' by two rows and two columns.
+ for (dimension_type j = 0; j <= i; ++j)
+ if (vars.count(j) == 0) {
+ assign_or_swap(*(iter++), row_ref[2*j]);
+ assign_or_swap(*(iter++), row_ref[2*j + 1]);
+ }
+ for (dimension_type j = 0; j <= i; ++j)
+ if (vars.count(j) == 0) {
+ assign_or_swap(*(iter++), row_ref1[2*j]);
+ assign_or_swap(*(iter++), row_ref1[2*j + 1]);
+ }
+ }
+ }
+ // Update the space dimension.
+ matrix.shrink(new_space_dim);
+ space_dim = new_space_dim;
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Partial_Function>
+void
+Octagonal_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
+ if (space_dim == 0)
+ return;
+
+ if (pfunc.has_empty_codomain()) {
+ // All dimensions vanish: the octagon becomes zero_dimensional.
+ remove_higher_space_dimensions(0);
+ return;
+ }
+
+ const dimension_type new_space_dim = pfunc.max_in_codomain() + 1;
+ // If we are going to actually reduce the space dimension,
+ // then shortest-path closure is required to keep precision.
+ if (new_space_dim < space_dim)
+ strong_closure_assign();
+
+ // If the octagon is empty, then it is sufficient to adjust
+ // the space dimension of the octagon.
+ if (marked_empty()) {
+ remove_higher_space_dimensions(new_space_dim);
+ return;
+ }
+
+ // We create a new matrix with the new space dimension.
+ OR_Matrix<N> x(new_space_dim);
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+
+ row_iterator m_begin = x.row_begin();
+
+ for (row_iterator i_iter = matrix.row_begin(), i_end = matrix.row_end();
+ i_iter != i_end; i_iter += 2) {
+ dimension_type new_i;
+ dimension_type i = i_iter.index()/2;
+ // We copy and place in the position into `x' the only cells of
+ // the `matrix' that refer to both mapped variables,
+ // the variable `i' and `j'.
+ if (pfunc.maps(i, new_i)) {
+ row_reference r_i = *i_iter;
+ row_reference r_ii = *(i_iter + 1);
+ dimension_type double_new_i = 2*new_i;
+ row_iterator x_iter = m_begin + double_new_i;
+ row_reference x_i = *x_iter;
+ row_reference x_ii = *(x_iter + 1);
+ for (dimension_type j = 0; j <= i; ++j) {
+ dimension_type new_j;
+ // If also the second variable is mapped, we work.
+ if (pfunc.maps(j, new_j)) {
+ dimension_type dj = 2*j;
+ dimension_type double_new_j = 2*new_j;
+ // Mapped the constraints, exchanging the indexes.
+ // Attention: our matrix is pseudo-triangular.
+ // If new_j > new_i, we must consider, as rows, the rows of
+ // the variable new_j, and not of new_i ones.
+ if (new_i >= new_j) {
+ assign_or_swap(x_i[double_new_j], r_i[dj]);
+ assign_or_swap(x_ii[double_new_j], r_ii[dj]);
+ assign_or_swap(x_ii[double_new_j + 1], r_ii[dj + 1]);
+ assign_or_swap(x_i[double_new_j + 1], r_i[dj + 1]);
+ }
+ else {
+ row_iterator x_j_iter = m_begin + double_new_j;
+ row_reference x_j = *x_j_iter;
+ row_reference x_jj = *(x_j_iter + 1);
+ assign_or_swap(x_jj[double_new_i + 1], r_i[dj]);
+ assign_or_swap(x_jj[double_new_i], r_ii[dj]);
+ assign_or_swap(x_j[double_new_i + 1], r_i[dj + 1]);
+ assign_or_swap(x_j[double_new_i], r_ii[dj + 1]);
+ }
+
+ }
+ }
+ }
+ }
+
+ using std::swap;
+ swap(matrix, x);
+ space_dim = new_space_dim;
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::intersection_assign(const Octagonal_Shape& y) {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("intersection_assign(y)", y);
+
+ // If one of the two octagons is empty, the intersection is empty.
+ if (marked_empty())
+ return;
+ if (y.marked_empty()) {
+ set_empty();
+ return;
+ }
+ // If both octagons are zero-dimensional,then at this point
+ // they are necessarily non-empty,
+ // so that their intersection is non-empty too.
+ if (space_dim == 0)
+ return;
+
+ // To intersect two octagons we compare the constraints
+ // and we choose the less values.
+ bool changed = false;
+
+ typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
+ for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
+ matrix_element_end = matrix.element_end();
+ i != matrix_element_end;
+ ++i, ++j) {
+ N& elem = *i;
+ const N& y_elem = *j;
+ if (y_elem < elem) {
+ elem = y_elem;
+ changed = true;
+ }
+ }
+
+ // This method not preserve the closure.
+ if (changed && marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Iterator>
+void
+Octagonal_Shape<T>::CC76_extrapolation_assign(const Octagonal_Shape& y,
+ Iterator first, Iterator last,
+ unsigned* tp) {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("CC76_extrapolation_assign(y)", y);
+
+ // Assume `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If both octagons are zero-dimensional,
+ // since `*this' contains `y', we simply return `*this'.
+ if (space_dim == 0)
+ return;
+
+ strong_closure_assign();
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ y.strong_closure_assign();
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ // If there are tokens available, work on a temporary copy.
+ if (tp != 0 && *tp > 0) {
+ Octagonal_Shape x_tmp(*this);
+ x_tmp.CC76_extrapolation_assign(y, first, last, 0);
+ // If the widening was not precise, use one of the available tokens.
+ if (!contains(x_tmp))
+ --(*tp);
+ return;
+ }
+
+ // Compare each constraint in `y' to the corresponding one in `*this'.
+ // The constraint in `*this' is kept as is if it is stronger than or
+ // equal to the constraint in `y'; otherwise, the inhomogeneous term
+ // of the constraint in `*this' is further compared with elements taken
+ // from a sorted container (the stop-points, provided by the user), and
+ // is replaced by the first entry, if any, which is greater than or equal
+ // to the inhomogeneous term. If no such entry exists, the constraint
+ // is removed altogether.
+ typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
+ for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
+ matrix_element_end = matrix.element_end();
+ i != matrix_element_end;
+ ++i, ++j) {
+ const N& y_elem = *j;
+ N& elem = *i;
+ if (y_elem < elem) {
+ Iterator k = std::lower_bound(first, last, elem);
+ if (k != last) {
+ if (elem < *k)
+ assign_r(elem, *k, ROUND_UP);
+ }
+ else
+ assign_r(elem, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ }
+
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::get_limiting_octagon(const Constraint_System& cs,
+ Octagonal_Shape& limiting_octagon) const {
+ const dimension_type cs_space_dim = cs.space_dimension();
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(cs_space_dim <= space_dim);
+
+ strong_closure_assign();
+ bool is_oct_changed = false;
+
+ // Allocate temporaries outside of the loop.
+ PPL_DIRTY_TEMP_COEFFICIENT(coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(term);
+ PPL_DIRTY_TEMP(N, d);
+
+ for (Constraint_System::const_iterator cs_i = cs.begin(),
+ cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
+ const Constraint& c = *cs_i;
+ dimension_type num_vars = 0;
+ dimension_type i = 0;
+ dimension_type j = 0;
+ // Constraints that are not octagonal differences are ignored.
+ if (!Octagonal_Shape_Helper
+ ::extract_octagonal_difference(c, cs_space_dim, num_vars, i, j,
+ coeff, term))
+ continue;
+
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ Row_iterator m_begin = matrix.row_begin();
+ // Select the cell to be modified for the "<=" part of the constraint.
+ Row_iterator i_iter = m_begin + i;
+ Row_reference m_i = *i_iter;
+ OR_Matrix<N>& lo_mat = limiting_octagon.matrix;
+ row_iterator lo_iter = lo_mat.row_begin() + i;
+ row_reference lo_m_i = *lo_iter;
+ N& lo_m_i_j = lo_m_i[j];
+ if (coeff < 0)
+ neg_assign(coeff);
+ // Compute the bound for `m_i_j', rounding towards plus infinity.
+ div_round_up(d, term, coeff);
+ if (m_i[j] <= d)
+ if (c.is_inequality()) {
+ if (lo_m_i_j > d) {
+ lo_m_i_j = d;
+ is_oct_changed = true;
+ }
+ else {
+ // Select the right row of the cell.
+ if (i % 2 == 0) {
+ ++i_iter;
+ ++lo_iter;
+ }
+ else {
+ --i_iter;
+ --lo_iter;
+ }
+ Row_reference m_ci = *i_iter;
+ row_reference lo_m_ci = *lo_iter;
+ // Select the right column of the cell.
+ using namespace Implementation::Octagonal_Shapes;
+ dimension_type cj = coherent_index(j);
+ N& lo_m_ci_cj = lo_m_ci[cj];
+ neg_assign(term);
+ div_round_up(d, term, coeff);
+ if (m_ci[cj] <= d && lo_m_ci_cj > d) {
+ lo_m_ci_cj = d;
+ is_oct_changed = true;
+ }
+ }
+ }
+ }
+ // In general, adding a constraint does not preserve the strongly
+ // closure of the octagon.
+ if (is_oct_changed && limiting_octagon.marked_strongly_closed())
+ limiting_octagon.reset_strongly_closed();
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::limited_CC76_extrapolation_assign(const Octagonal_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp) {
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("limited_CC76_extrapolation_assign(y, cs)",
+ y);
+ // `cs' must be dimension-compatible with the two octagons.
+ const dimension_type cs_space_dim = cs.space_dimension();
+ if (space_dim < cs_space_dim)
+ throw_constraint_incompatible("limited_CC76_extrapolation_assign(y, cs)");
+
+ // Strict inequalities not allowed.
+ if (cs.has_strict_inequalities())
+ throw_constraint_incompatible("limited_CC76_extrapolation_assign(y, cs)");
+
+ // The limited CC76-extrapolation between two octagons in a
+ // zero-dimensional space is a octagon in a zero-dimensional
+ // space, too.
+ if (space_dim == 0)
+ return;
+
+ // Assume `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ Octagonal_Shape limiting_octagon(space_dim, UNIVERSE);
+ get_limiting_octagon(cs, limiting_octagon);
+ CC76_extrapolation_assign(y, tp);
+ intersection_assign(limiting_octagon);
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::BHMZ05_widening_assign(const Octagonal_Shape& y,
+ unsigned* tp) {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("BHMZ05_widening_assign(y)", y);
+
+ // Assume `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // Compute the affine dimension of `y'.
+ const dimension_type y_affine_dim = y.affine_dimension();
+ // If the affine dimension of `y' is zero, then either `y' is
+ // zero-dimensional, or it is empty, or it is a singleton.
+ // In all cases, due to the inclusion hypothesis, the result is `*this'.
+ if (y_affine_dim == 0)
+ return;
+
+ // If the affine dimension has changed, due to the inclusion hypothesis,
+ // the result is `*this'.
+ const dimension_type x_affine_dim = affine_dimension();
+ PPL_ASSERT(x_affine_dim >= y_affine_dim);
+ if (x_affine_dim != y_affine_dim)
+ return;
+
+ // If there are tokens available, work on a temporary copy.
+ if (tp != 0 && *tp > 0) {
+ Octagonal_Shape x_tmp(*this);
+ x_tmp.BHMZ05_widening_assign(y, 0);
+ // If the widening was not precise, use one of the available tokens.
+ if (!contains(x_tmp))
+ --(*tp);
+ return;
+ }
+
+ // Here no token is available.
+ PPL_ASSERT(marked_strongly_closed() && y.marked_strongly_closed());
+ // Minimize `y'.
+ y.strong_reduction_assign();
+
+ // Extrapolate unstable bounds.
+ typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
+ for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
+ matrix_element_end = matrix.element_end();
+ i != matrix_element_end;
+ ++i, ++j) {
+ N& elem = *i;
+ // Note: in the following line the use of `!=' (as opposed to
+ // the use of `<' that would seem -but is not- equivalent) is
+ // intentional.
+ if (*j != elem)
+ assign_r(elem, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::limited_BHMZ05_extrapolation_assign(const Octagonal_Shape& y,
+ const Constraint_System& cs,
+ unsigned* tp) {
+
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("limited_BHMZ05_extrapolation_assign(y, cs)",
+ y);
+ // `cs' must be dimension-compatible with the two octagons.
+ const dimension_type cs_space_dim = cs.space_dimension();
+ if (space_dim < cs_space_dim)
+ throw_constraint_incompatible("limited_CH78_extrapolation_assign(y, cs)");
+
+ // Strict inequalities not allowed.
+ if (cs.has_strict_inequalities())
+ throw_constraint_incompatible("limited_CH78_extrapolation_assign(y, cs)");
+
+ // The limited BHMZ05-extrapolation between two octagons in a
+ // zero-dimensional space is a octagon in a zero-dimensional
+ // space, too.
+ if (space_dim == 0)
+ return;
+
+ // Assume `y' is contained in or equal to `*this'.
+ PPL_EXPECT_HEAVY(copy_contains(*this, y));
+
+ // If `*this' is empty, since `*this' contains `y', `y' is empty too.
+ if (marked_empty())
+ return;
+ // If `y' is empty, we return.
+ if (y.marked_empty())
+ return;
+
+ Octagonal_Shape limiting_octagon(space_dim, UNIVERSE);
+ get_limiting_octagon(cs, limiting_octagon);
+ BHMZ05_widening_assign(y, tp);
+ intersection_assign(limiting_octagon);
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::CC76_narrowing_assign(const Octagonal_Shape& y) {
+ // Dimension-compatibility check.
+ if (space_dim != y.space_dim)
+ throw_dimension_incompatible("CC76_narrowing_assign(y)", y);
+
+ // Assume `*this' is contained in or equal to `y'.
+ PPL_EXPECT_HEAVY(copy_contains(y, *this));
+
+ // If both octagons are zero-dimensional, since `*this' contains `y',
+ // we simply return '*this'.
+ if (space_dim == 0)
+ return;
+
+ y.strong_closure_assign();
+ // If `y' is empty, since `y' contains `*this', `*this' is empty too.
+ if (y.marked_empty())
+ return;
+ strong_closure_assign();
+ // If `*this' is empty, we return.
+ if (marked_empty())
+ return;
+
+ // We consider a constraint of `*this', if its value is `plus_infinity',
+ // we take the value of the corresponding constraint of `y'.
+ bool is_oct_changed = false;
+ typename OR_Matrix<N>::const_element_iterator j = y.matrix.element_begin();
+ for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
+ matrix_element_end = matrix.element_end();
+ i != matrix_element_end;
+ ++i, ++j) {
+ if (!is_plus_infinity(*i)
+ && !is_plus_infinity(*j)
+ && *i != *j) {
+ *i = *j;
+ is_oct_changed = true;
+ }
+ }
+
+ if (is_oct_changed && marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::deduce_v_pm_u_bounds(const dimension_type v_id,
+ const dimension_type last_id,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& ub_v) {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(sc_denom > 0);
+ PPL_ASSERT(!is_plus_infinity(ub_v));
+
+ PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
+ assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
+
+ // No need to consider indices greater than `last_id'.
+ const dimension_type n_v = 2*v_id;
+ typename OR_Matrix<N>::row_reference_type m_cv = matrix[n_v + 1];
+
+ // Speculatively allocate temporaries out of the loop.
+ PPL_DIRTY_TEMP(N, half);
+ PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
+ PPL_DIRTY_TEMP(mpq_class, q);
+ PPL_DIRTY_TEMP(mpq_class, minus_q);
+ PPL_DIRTY_TEMP(mpq_class, ub_u);
+ PPL_DIRTY_TEMP(mpq_class, lb_u);
+ PPL_DIRTY_TEMP(N, up_approx);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_expr_u);
+
+ for (Linear_Expression::const_iterator u = sc_expr.begin(),
+ u_end = sc_expr.lower_bound(Variable(last_id + 1)); u != u_end; ++u) {
+ const dimension_type u_id = u.variable().id();
+ // Skip the case when `u_id == v_id'.
+ if (u_id == v_id)
+ continue;
+ const Coefficient& expr_u = *u;
+
+ const dimension_type n_u = u_id*2;
+ // If `expr_u' is positive, we can improve `v - u'.
+ if (expr_u > 0) {
+ if (expr_u >= sc_denom) {
+ // Here q >= 1: deducing `v - u <= ub_v - ub_u'.
+ // We avoid to check if `ub_u' is plus infinity, because
+ // it is used for the computation of `ub_v'.
+ // Let half = m_cu_u / 2.
+ div_2exp_assign_r(half, matrix[n_u + 1][n_u], 1, ROUND_UP);
+ N& m_v_minus_u = (n_v < n_u) ? matrix[n_u][n_v] : m_cv[n_u + 1];
+ sub_assign_r(m_v_minus_u, ub_v, half, ROUND_UP);
+ }
+ else {
+ // Here 0 < q < 1.
+ typename OR_Matrix<N>::row_reference_type m_u = matrix[n_u];
+ const N& m_u_cu = m_u[n_u + 1];
+ if (!is_plus_infinity(m_u_cu)) {
+ // Let `ub_u' and `lb_u' be the known upper and lower bound
+ // for `u', respectively. The upper bound for `v - u' is
+ // computed as `ub_v - (q * ub_u + (1-q) * lb_u)',
+ // i.e., `ub_v + (-lb_u) - q * (ub_u + (-lb_u))'.
+ assign_r(minus_lb_u, m_u_cu, ROUND_NOT_NEEDED);
+ div_2exp_assign_r(minus_lb_u, minus_lb_u, 1, ROUND_NOT_NEEDED);
+ assign_r(q, expr_u, ROUND_NOT_NEEDED);
+ div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
+ assign_r(ub_u, matrix[n_u + 1][n_u], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
+ // Compute `ub_u - lb_u'.
+ add_assign_r(ub_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
+ // Compute `(-lb_u) - q * (ub_u - lb_u)'.
+ sub_mul_assign_r(minus_lb_u, q, ub_u, ROUND_NOT_NEEDED);
+ assign_r(up_approx, minus_lb_u, ROUND_UP);
+ // Deducing `v - u <= ub_v - (q * ub_u + (1-q) * lb_u)'.
+ N& m_v_minus_u = (n_v < n_u) ? m_u[n_v] : m_cv[n_u + 1];
+ add_assign_r(m_v_minus_u, ub_v, up_approx, ROUND_UP);
+ }
+ }
+ }
+ else {
+ PPL_ASSERT(expr_u < 0);
+ // If `expr_u' is negative, we can improve `v + u'.
+ neg_assign(minus_expr_u, expr_u);
+ if (minus_expr_u >= sc_denom) {
+ // Here q <= -1: Deducing `v + u <= ub_v + lb_u'.
+ // We avoid to check if `lb_u' is plus infinity, because
+ // it is used for the computation of `ub_v'.
+ // Let half = m_u_cu / 2.
+ div_2exp_assign_r(half, matrix[n_u][n_u + 1], 1, ROUND_UP);
+ N& m_v_plus_u = (n_v < n_u) ? matrix[n_u + 1][n_v] : m_cv[n_u];
+ sub_assign_r(m_v_plus_u, ub_v, half, ROUND_UP);
+ }
+ else {
+ // Here -1 < q < 0.
+ typename OR_Matrix<N>::row_reference_type m_cu = matrix[n_u + 1];
+ const N& m_cu_u = m_cu[n_u];
+ if (!is_plus_infinity(m_cu_u)) {
+ // Let `ub_u' and `lb_u' be the known upper and lower bound
+ // for `u', respectively. The upper bound for `v + u' is
+ // computed as `ub_v + ((-q) * lb_u + (1 + q) * ub_u)',
+ // i.e., `ub_v + ub_u + (-q) * (lb_u - ub_u)'.
+ assign_r(ub_u, m_cu[n_u], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
+ assign_r(minus_q, minus_expr_u, ROUND_NOT_NEEDED);
+ div_assign_r(minus_q, minus_q, mpq_sc_denom, ROUND_NOT_NEEDED);
+ assign_r(lb_u, matrix[n_u][n_u + 1], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(lb_u, lb_u, 1, ROUND_NOT_NEEDED);
+ neg_assign_r(lb_u, lb_u, ROUND_NOT_NEEDED);
+ // Compute `lb_u - ub_u'.
+ sub_assign_r(lb_u, lb_u, ub_u, ROUND_NOT_NEEDED);
+ // Compute `ub_u + (-q) * (lb_u - ub_u)'.
+ add_mul_assign_r(ub_u, minus_q, lb_u, ROUND_NOT_NEEDED);
+ assign_r(up_approx, ub_u, ROUND_UP);
+ // Deducing `v + u <= ub_v + ((-q) * lb_u + (1 + q) * ub_u)'.
+ N& m_v_plus_u = (n_v < n_u) ? m_cu[n_v] : m_cv[n_u];
+ add_assign_r(m_v_plus_u, ub_v, up_approx, ROUND_UP);
+ }
+ }
+ }
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::deduce_minus_v_pm_u_bounds(const dimension_type v_id,
+ const dimension_type last_id,
+ const Linear_Expression& sc_expr,
+ Coefficient_traits::const_reference sc_denom,
+ const N& minus_lb_v) {
+ // Private method: the caller has to ensure the following.
+ PPL_ASSERT(sc_denom > 0);
+ PPL_ASSERT(!is_plus_infinity(minus_lb_v));
+
+ PPL_DIRTY_TEMP(mpq_class, mpq_sc_denom);
+ assign_r(mpq_sc_denom, sc_denom, ROUND_NOT_NEEDED);
+
+ // No need to consider indices greater than `last_id'.
+ const dimension_type n_v = 2*v_id;
+ typename OR_Matrix<N>::row_reference_type m_v = matrix[n_v];
+
+ // Speculatively allocate temporaries out of the loop.
+ PPL_DIRTY_TEMP(N, half);
+ PPL_DIRTY_TEMP(mpq_class, ub_u);
+ PPL_DIRTY_TEMP(mpq_class, q);
+ PPL_DIRTY_TEMP(mpq_class, minus_lb_u);
+ PPL_DIRTY_TEMP(N, up_approx);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_expr_u);
+
+ for (Linear_Expression::const_iterator u = sc_expr.begin(),
+ u_end = sc_expr.lower_bound(Variable(last_id + 1)); u != u_end; ++u) {
+ const dimension_type u_id = u.variable().id();
+ // Skip the case when `u_id == v_id'.
+ if (u_id == v_id)
+ continue;
+ const Coefficient& expr_u = *u;
+
+ const dimension_type n_u = u_id*2;
+ // If `expr_u' is positive, we can improve `-v + u'.
+ if (expr_u > 0) {
+ if (expr_u >= sc_denom) {
+ // Here q >= 1: deducing `-v + u <= lb_u - lb_v',
+ // i.e., `u - v <= (-lb_v) - (-lb_u)'.
+ // We avoid to check if `lb_u' is plus infinity, because
+ // it is used for the computation of `lb_v'.
+ // Let half = m_u_cu / 2.
+ div_2exp_assign_r(half, matrix[n_u][n_u + 1], 1, ROUND_UP);
+ N& m_u_minus_v = (n_v < n_u) ? matrix[n_u + 1][n_v + 1] : m_v[n_u];
+ sub_assign_r(m_u_minus_v, minus_lb_v, half, ROUND_UP);
+ }
+ else {
+ // Here 0 < q < 1.
+ typename OR_Matrix<N>::row_reference_type m_cu = matrix[n_u + 1];
+ const N& m_cu_u = m_cu[n_u];
+ if (!is_plus_infinity(m_cu_u)) {
+ // Let `ub_u' and `lb_u' be the known upper and lower bound
+ // for `u', respectively. The upper bound for `u - v' is
+ // computed as `(q * lb_u + (1-q) * ub_u) - lb_v',
+ // i.e., `ub_u - q * (ub_u + (-lb_u)) + minus_lb_v'.
+ assign_r(ub_u, m_cu[n_u], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
+ assign_r(q, expr_u, ROUND_NOT_NEEDED);
+ div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
+ assign_r(minus_lb_u, matrix[n_u][n_u + 1], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(minus_lb_u, minus_lb_u, 1, ROUND_NOT_NEEDED);
+ // Compute `ub_u - lb_u'.
+ add_assign_r(minus_lb_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
+ // Compute `ub_u - q * (ub_u - lb_u)'.
+ sub_mul_assign_r(ub_u, q, minus_lb_u, ROUND_NOT_NEEDED);
+ assign_r(up_approx, ub_u, ROUND_UP);
+ // Deducing `u - v <= -lb_v - (q * lb_u + (1-q) * ub_u)'.
+ N& m_u_minus_v = (n_v < n_u) ? m_cu[n_v + 1] : m_v[n_u];
+ add_assign_r(m_u_minus_v, minus_lb_v, up_approx, ROUND_UP);
+ }
+ }
+ }
+ else {
+ PPL_ASSERT(expr_u < 0);
+ // If `expr_u' is negative, we can improve `-v - u'.
+ neg_assign(minus_expr_u, expr_u);
+ if (minus_expr_u >= sc_denom) {
+ // Here q <= -1: Deducing `-v - u <= -lb_v - ub_u'.
+ // We avoid to check if `ub_u' is plus infinity, because
+ // it is used for the computation of `lb_v'.
+ // Let half = m_cu_u / 2.
+ div_2exp_assign_r(half, matrix[n_u + 1][n_u], 1, ROUND_UP);
+ N& m_minus_v_minus_u = (n_v < n_u)
+ ? matrix[n_u][n_v + 1]
+ : m_v[n_u + 1];
+ sub_assign_r(m_minus_v_minus_u, minus_lb_v, half, ROUND_UP);
+ }
+ else {
+ // Here -1 < q < 0.
+ typename OR_Matrix<N>::row_reference_type m_u = matrix[n_u];
+ const N& m_u_cu = m_u[n_u + 1];
+ if (!is_plus_infinity(m_u_cu)) {
+ // Let `ub_u' and `lb_u' be the known upper and lower bound
+ // for `u', respectively. The upper bound for `-v - u' is
+ // computed as `-lb_v - ((-q)*ub_u + (1 + q)*lb_u)',
+ // i.e., `minus_lb_v - lb_u + q*(ub_u - lb_u)'.
+ assign_r(ub_u, matrix[n_u + 1][n_u], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(ub_u, ub_u, 1, ROUND_NOT_NEEDED);
+ assign_r(q, expr_u, ROUND_NOT_NEEDED);
+ div_assign_r(q, q, mpq_sc_denom, ROUND_NOT_NEEDED);
+ assign_r(minus_lb_u, m_u[n_u + 1], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(minus_lb_u, minus_lb_u, 1, ROUND_NOT_NEEDED);
+ // Compute `ub_u - lb_u'.
+ add_assign_r(ub_u, ub_u, minus_lb_u, ROUND_NOT_NEEDED);
+ // Compute `-lb_u + q*(ub_u - lb_u)'.
+ add_mul_assign_r(minus_lb_u, q, ub_u, ROUND_NOT_NEEDED);
+ assign_r(up_approx, minus_lb_u, ROUND_UP);
+ // Deducing `-v - u <= -lb_v - ((-q) * ub_u + (1 + q) * lb_u)'.
+ N& m_minus_v_minus_u = (n_v < n_u) ? m_u[n_v + 1] : m_v[n_u + 1];
+ add_assign_r(m_minus_v_minus_u, minus_lb_v, up_approx, ROUND_UP);
+ }
+ }
+ }
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::forget_all_octagonal_constraints(const dimension_type v_id) {
+ PPL_ASSERT(v_id < space_dim);
+ const dimension_type n_v = 2*v_id;
+ typename OR_Matrix<N>::row_iterator m_iter = matrix.row_begin() + n_v;
+ typename OR_Matrix<N>::row_reference_type r_v = *m_iter;
+ typename OR_Matrix<N>::row_reference_type r_cv = *(++m_iter);
+ for (dimension_type h = m_iter.row_size(); h-- > 0; ) {
+ assign_r(r_v[h], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(r_cv[h], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ ++m_iter;
+ for (typename OR_Matrix<N>::row_iterator m_end = matrix.row_end();
+ m_iter != m_end; ++m_iter) {
+ typename OR_Matrix<N>::row_reference_type r = *m_iter;
+ assign_r(r[n_v], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(r[n_v + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::forget_binary_octagonal_constraints(const dimension_type v_id) {
+ PPL_ASSERT(v_id < space_dim);
+ const dimension_type n_v = 2*v_id;
+ typename OR_Matrix<N>::row_iterator m_iter = matrix.row_begin() + n_v;
+ typename OR_Matrix<N>::row_reference_type r_v = *m_iter;
+ typename OR_Matrix<N>::row_reference_type r_cv = *(++m_iter);
+ for (dimension_type k = n_v; k-- > 0; ) {
+ assign_r(r_v[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(r_cv[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ ++m_iter;
+ for (typename OR_Matrix<N>::row_iterator m_end = matrix.row_end();
+ m_iter != m_end; ++m_iter) {
+ typename OR_Matrix<N>::row_reference_type r = *m_iter;
+ assign_r(r[n_v], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ assign_r(r[n_v + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::unconstrain(const Variable var) {
+ // Dimension-compatibility check.
+ const dimension_type var_id = var.id();
+ if (space_dimension() < var_id + 1)
+ throw_dimension_incompatible("unconstrain(var)", var_id + 1);
+
+ // Enforce strong closure for precision.
+ strong_closure_assign();
+
+ // If the shape is empty, this is a no-op.
+ if (marked_empty())
+ return;
+
+ forget_all_octagonal_constraints(var_id);
+ // Strong closure is preserved.
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::unconstrain(const Variables_Set& vars) {
+ // The cylindrification with respect to no dimensions is a no-op.
+ // This case captures the only legal cylindrification in a 0-dim space.
+ if (vars.empty())
+ return;
+
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dimension() < min_space_dim)
+ throw_dimension_incompatible("unconstrain(vs)", min_space_dim);
+
+ // Enforce strong closure for precision.
+ strong_closure_assign();
+
+ // If the shape is empty, this is a no-op.
+ if (marked_empty())
+ return;
+
+ for (Variables_Set::const_iterator vsi = vars.begin(),
+ vsi_end = vars.end(); vsi != vsi_end; ++vsi)
+ forget_all_octagonal_constraints(*vsi);
+ // Strong closure is preserved.
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::refine(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ PPL_ASSERT(denominator != 0);
+ PPL_ASSERT(space_dim >= expr.space_dimension());
+ const dimension_type var_id = var.id();
+ PPL_ASSERT(var_id <= space_dim);
+ PPL_ASSERT(expr.coefficient(var) == 0);
+ PPL_ASSERT(relsym != LESS_THAN && relsym != GREATER_THAN);
+
+ const Coefficient& b = expr.inhomogeneous_term();
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+
+ // Variable index of the last non-zero coefficient in `expr', if any.
+ dimension_type w_id = expr.last_nonzero();
+
+ if (w_id != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w_id))
+ ++t;
+ --w_id;
+ }
+
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*j + b, where `j != v';
+ // - If t == 2, then `expr' is of the general form.
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const dimension_type n_var = 2*var_id;
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign(minus_denom, denominator);
+
+ // Since we are only able to record octagonal differences, we can
+ // precisely deal with the case of a single variable only if its
+ // coefficient (taking into account the denominator) is 1.
+ // If this is not the case, we fall back to the general case
+ // so as to over-approximate the constraint.
+ if (t == 1 && expr.coefficient(Variable(w_id)) != denominator
+ && expr.coefficient(Variable(w_id)) != minus_denom)
+ t = 2;
+
+ if (t == 0) {
+ // Case 1: expr == b.
+ PPL_DIRTY_TEMP_COEFFICIENT(two_b);
+ two_b = 2*b;
+ switch (relsym) {
+ case EQUAL:
+ // Add the constraint `var == b/denominator'.
+ add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
+ add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
+ break;
+ case LESS_OR_EQUAL:
+ // Add the constraint `var <= b/denominator'.
+ add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
+ break;
+ case GREATER_OR_EQUAL:
+ // Add the constraint `var >= b/denominator',
+ // i.e., `-var <= -b/denominator',
+ add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+ else if (t == 1) {
+ // Value of the one and only non-zero coefficient in `expr'.
+ const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
+ const dimension_type n_w = 2*w_id;
+ switch (relsym) {
+ case EQUAL:
+ if (w_coeff == denominator)
+ // Add the new constraint `var - w = b/denominator'.
+ if (var_id < w_id) {
+ add_octagonal_constraint(n_w, n_var, b, denominator);
+ add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
+ }
+ else {
+ add_octagonal_constraint(n_var + 1, n_w + 1, b, denominator);
+ add_octagonal_constraint(n_var, n_w, b, minus_denom);
+ }
+ else
+ // Add the new constraint `var + w = b/denominator'.
+ if (var_id < w_id) {
+ add_octagonal_constraint(n_w + 1, n_var, b, denominator);
+ add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
+ }
+ else {
+ add_octagonal_constraint(n_var + 1, n_w, b, denominator);
+ add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
+ }
+ break;
+ case LESS_OR_EQUAL:
+ {
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ // Note that: `w_id != v', so that `expr' is of the form
+ // w_coeff * w + b, with `w_id != v'.
+ if (w_coeff == denominator) {
+ // Add the new constraints `v - w <= b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w, n_var, d);
+ else
+ add_octagonal_constraint(n_var + 1, n_w + 1, d);
+ }
+ else if (w_coeff == minus_denom) {
+ // Add the new constraints `v + w <= b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w + 1, n_var, d);
+ else
+ add_octagonal_constraint(n_var + 1, n_w, d);
+ }
+ break;
+ }
+
+ case GREATER_OR_EQUAL:
+ {
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, minus_denom);
+ // Note that: `w_id != v', so that `expr' is of the form
+ // w_coeff * w + b, with `w_id != v'.
+ if (w_coeff == denominator) {
+ // Add the new constraint `v - w >= b/denominator',
+ // i.e., `-v + w <= -b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w + 1, n_var + 1, d);
+ else
+ add_octagonal_constraint(n_var, n_w, d);
+ }
+ else if (w_coeff == minus_denom) {
+ // Add the new constraints `v + w >= b/denominator',
+ // i.e., `-v - w <= -b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w, n_var + 1, d);
+ else
+ add_octagonal_constraint(n_var, n_w + 1, d);
+ }
+ break;
+ }
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+ else {
+ // Here t == 2, so that
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2.
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -expr;
+ const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, sum);
+ // Index of variable that is unbounded in `this'.
+ PPL_UNINITIALIZED(dimension_type, pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pinf_count = 0;
+
+ switch (relsym) {
+ case EQUAL:
+ {
+ PPL_DIRTY_TEMP(N, neg_sum);
+ // Index of variable that is unbounded in `this'.
+ PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
+ // Number of unbounded variables found.
+ dimension_type neg_pinf_count = 0;
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, sc_b, ROUND_UP);
+ assign_r(neg_sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP(N, half);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ PPL_DIRTY_TEMP(N, minus_coeff_i);
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ for (Row_iterator m_iter = m_begin,
+ m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ Row_reference m_i = *m_iter;
+ ++m_iter;
+ Row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i > 0) {
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pinf_count <= 1) {
+ const N& double_approx_i = m_ci[n_i];
+ if (!is_plus_infinity(double_approx_i)) {
+ // Let half = double_approx_i / 2.
+ div_2exp_assign_r(half, double_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(sum, coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++pinf_count;
+ pinf_index = id;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& double_approx_minus_i = m_i[n_i + 1];
+ if (!is_plus_infinity(double_approx_minus_i)) {
+ // Let half = double_approx_minus_i / 2.
+ div_2exp_assign_r(half, double_approx_minus_i, 1, ROUND_UP);
+ add_mul_assign_r(neg_sum, coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = id;
+ }
+ }
+ }
+ else if (sign_i < 0) {
+ neg_assign_r(minus_sc_i, sc_i, ROUND_NOT_NEEDED);
+ assign_r(minus_coeff_i, minus_sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pinf_count <= 1) {
+ const N& double_approx_minus_i = m_i[n_i + 1];
+ if (!is_plus_infinity(double_approx_minus_i)) {
+ // Let half = double_approx_minus_i / 2.
+ div_2exp_assign_r(half, double_approx_minus_i, 1, ROUND_UP);
+ add_mul_assign_r(sum, minus_coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++pinf_count;
+ pinf_index = id;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& double_approx_i = m_ci[n_i];
+ if (!is_plus_infinity(double_approx_i)) {
+ // Let half = double_approx_i / 2.
+ div_2exp_assign_r(half, double_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(neg_sum, minus_coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = id;
+ }
+ }
+ }
+ }
+ // Return immediately if no approximation could be computed.
+ if (pinf_count > 1 && neg_pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // In the following, strong closure will be definitely lost.
+ reset_strongly_closed();
+
+ // Exploit the upper approximation, if possible.
+ if (pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is
+ // achieved as usual by rounding upwards `minus_sc_denom'
+ // and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the upper bound constraint, if meaningful.
+ if (pinf_count == 0) {
+ // Add the constraint `v <= sum'.
+ PPL_DIRTY_TEMP(N, double_sum);
+ mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
+ matrix[n_var + 1][n_var] = double_sum;
+ // Deduce constraints of the form `v +/- u', where `u != v'.
+ deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, sum);
+ }
+ else
+ // Here `pinf_count == 1'.
+ if (pinf_index != var_id) {
+ const Coefficient& ppi
+ = sc_expr.coefficient(Variable(pinf_index));
+ if (ppi == sc_denom)
+ // Add the constraint `v - pinf_index <= sum'.
+ if (var_id < pinf_index)
+ matrix[2*pinf_index][n_var] = sum;
+ else
+ matrix[n_var + 1][2*pinf_index + 1] = sum;
+ else
+ if (ppi == minus_sc_denom) {
+ // Add the constraint `v + pinf_index <= sum'.
+ if (var_id < pinf_index)
+ matrix[2*pinf_index + 1][n_var] = sum;
+ else
+ matrix[n_var + 1][2*pinf_index] = sum;
+ }
+ }
+ }
+
+ // Exploit the lower approximation, if possible.
+ if (neg_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is
+ // achieved as usual by rounding upwards `minus_sc_denom'
+ // and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the lower bound constraint, if meaningful.
+ if (neg_pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ PPL_DIRTY_TEMP(N, double_neg_sum);
+ mul_2exp_assign_r(double_neg_sum, neg_sum, 1, ROUND_UP);
+ matrix[n_var][n_var + 1] = double_neg_sum;
+ // Deduce constraints of the form `-v +/- u', where `u != v'.
+ deduce_minus_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom,
+ neg_sum);
+ }
+ else
+ // Here `neg_pinf_count == 1'.
+ if (neg_pinf_index != var_id) {
+ const Coefficient& npi
+ = sc_expr.coefficient(Variable(neg_pinf_index));
+ if (npi == sc_denom)
+ // Add the constraint `v - neg_pinf_index >= -neg_sum',
+ // i.e., `neg_pinf_index - v <= neg_sum'.
+ if (neg_pinf_index < var_id)
+ matrix[n_var][2*neg_pinf_index] = neg_sum;
+ else
+ matrix[2*neg_pinf_index + 1][n_var + 1] = neg_sum;
+ else
+ if (npi == minus_sc_denom) {
+ // Add the constraint `v + neg_pinf_index >= -neg_sum',
+ // i.e., `-neg_pinf_index - v <= neg_sum'.
+ if (neg_pinf_index < var_id)
+ matrix[n_var][2*neg_pinf_index + 1] = neg_sum;
+ else
+ matrix[2*neg_pinf_index][n_var + 1] = neg_sum;
+ }
+ }
+ }
+ break;
+ }
+
+ case LESS_OR_EQUAL:
+ {
+ // Compute an upper approximation for `expr' into `sum',
+ // taking into account the sign of `denominator'.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP(N, approx_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ // Note: indices above `w_id' can be disregarded, as they all have
+ // a zero coefficient in `expr'.
+ for (row_iterator m_iter = m_begin,
+ m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ row_reference m_i = *m_iter;
+ ++m_iter;
+ row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i == 0)
+ continue;
+ // Choose carefully: we are approximating `sc_expr'.
+ const N& double_approx_i = (sign_i > 0) ? m_ci[n_i] : m_i[n_i + 1];
+ if (is_plus_infinity(double_approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = id;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is achieved
+ // by rounding upwards `minus_sc-denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v <= sum'.
+ PPL_DIRTY_TEMP(N, double_sum);
+ mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
+ add_octagonal_constraint(n_var + 1, n_var, double_sum);
+ // Deduce constraints of the form `v +/- u', where `u != v'.
+ deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1) {
+ dimension_type pinf_ind = 2*pinf_index;
+ if (expr.coefficient(Variable(pinf_index)) == denominator ) {
+ // Add the constraint `v - pinf_index <= sum'.
+ if (var_id < pinf_index)
+ add_octagonal_constraint(pinf_ind, n_var, sum);
+ else
+ add_octagonal_constraint(n_var + 1, pinf_ind + 1, sum);
+ }
+ else {
+ if (expr.coefficient(Variable(pinf_index)) == minus_denom) {
+ // Add the constraint `v + pinf_index <= sum'.
+ if (var_id < pinf_index)
+ add_octagonal_constraint(pinf_ind + 1, n_var, sum);
+ else
+ add_octagonal_constraint(n_var + 1, pinf_ind, sum);
+ }
+ }
+ }
+ break;
+ }
+
+ case GREATER_OR_EQUAL:
+ {
+ // Compute an upper approximation for `-sc_expr' into `sum'.
+ // Note: approximating `-sc_expr' from above and then negating the
+ // result is the same as approximating `sc_expr' from below.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `-sc_expr'.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP(N, approx_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ for (row_iterator m_iter = m_begin,
+ m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ row_reference m_i = *m_iter;
+ ++m_iter;
+ row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i == 0)
+ continue;
+ // Choose carefully: we are approximating `-sc_expr'.
+ const N& double_approx_i = (sign_i > 0) ? m_i[n_i + 1] : m_ci[n_i];
+ if (is_plus_infinity(double_approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = id;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is
+ // achieved by rounding upwards `minus_sc_denom' and
+ // negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ PPL_DIRTY_TEMP(N, double_sum);
+ mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
+ add_octagonal_constraint(n_var, n_var + 1, double_sum);
+ // Deduce constraints of the form `-v +/- u', where `u != v'.
+ deduce_minus_v_pm_u_bounds(var_id, pinf_index, sc_expr, sc_denom,
+ sum);
+ }
+ else if (pinf_count == 1) {
+ dimension_type pinf_ind = 2*pinf_index;
+ if (expr.coefficient(Variable(pinf_index)) == denominator) {
+ // Add the constraint `v - pinf_index >= -sum',
+ // i.e., `pinf_index - v <= sum'.
+ if (pinf_index < var_id)
+ add_octagonal_constraint(n_var, pinf_ind, sum);
+ else
+ add_octagonal_constraint(pinf_ind + 1, n_var, sum);
+ }
+ else {
+ if (expr.coefficient(Variable(pinf_index)) == minus_denom) {
+ // Add the constraint `v + pinf_index >= -sum',
+ // i.e., `-pinf_index - v <= sum'.
+ if (pinf_index < var_id)
+ add_octagonal_constraint(n_var, pinf_ind + 1, sum);
+ else
+ add_octagonal_constraint(pinf_ind, n_var + 1, sum);
+ }
+ }
+ }
+ break;
+ }
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::affine_image(const Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("affine_image(v, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("affine_image(v, e, d)", "e", expr);
+
+ // `var' should be one of the dimensions of the octagon.
+ const dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("affine_image(v, e, d)", var_id + 1);
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty too.
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Variable-index of the last non-zero coefficient in `expr', if any.
+ dimension_type w_id = expr.last_nonzero();
+
+ if (w_id != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w_id))
+ ++t;
+ --w_id;
+ }
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+ using std::swap;
+
+ const dimension_type n_var = 2*var_id;
+ const Coefficient& b = expr.inhomogeneous_term();
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign_r(minus_denom, denominator, ROUND_NOT_NEEDED);
+
+ // `w' is the variable with index `w_id'.
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `expr' is of the general form.
+
+ if (t == 0) {
+ // Case 1: expr == b.
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ PPL_DIRTY_TEMP_COEFFICIENT(two_b);
+ two_b = 2*b;
+ // Add the constraint `var == b/denominator'.
+ add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
+ add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // The one and only non-zero homogeneous coefficient in `expr'.
+ const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
+ if (w_coeff == denominator || w_coeff == minus_denom) {
+ // Case 2: expr = w_coeff*w + b, with w_coeff = +/- denominator.
+ if (w_id == var_id) {
+ // Here `expr' is of the form: +/- denominator * v + b.
+ const bool sign_symmetry = (w_coeff != denominator);
+ if (!sign_symmetry && b == 0)
+ // The transformation is the identity function.
+ return;
+ // Translate all the constraints on `var' adding or
+ // subtracting the value `b/denominator'.
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ PPL_DIRTY_TEMP(N, minus_d);
+ div_round_up(minus_d, b, minus_denom);
+ if (sign_symmetry)
+ swap(d, minus_d);
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
+ ++m_iter;
+ row_reference m_cv = *m_iter;
+ ++m_iter;
+ // NOTE: delay update of unary constraints on `var'.
+ for (dimension_type j = n_var; j-- > 0; ) {
+ N& m_v_j = m_v[j];
+ add_assign_r(m_v_j, m_v_j, minus_d, ROUND_UP);
+ N& m_cv_j = m_cv[j];
+ add_assign_r(m_cv_j, m_cv_j, d, ROUND_UP);
+ if (sign_symmetry)
+ swap(m_v_j, m_cv_j);
+ }
+ for ( ; m_iter != m_end; ++m_iter) {
+ row_reference m_i = *m_iter;
+ N& m_i_v = m_i[n_var];
+ add_assign_r(m_i_v, m_i_v, d, ROUND_UP);
+ N& m_i_cv = m_i[n_var + 1];
+ add_assign_r(m_i_cv, m_i_cv, minus_d, ROUND_UP);
+ if (sign_symmetry)
+ swap(m_i_v, m_i_cv);
+ }
+ // Now update unary constraints on var.
+ mul_2exp_assign_r(d, d, 1, ROUND_UP);
+ N& m_cv_v = m_cv[n_var];
+ add_assign_r(m_cv_v, m_cv_v, d, ROUND_UP);
+ mul_2exp_assign_r(minus_d, minus_d, 1, ROUND_UP);
+ N& m_v_cv = m_v[n_var + 1];
+ add_assign_r(m_v_cv, m_v_cv, minus_d, ROUND_UP);
+ if (sign_symmetry)
+ swap(m_cv_v, m_v_cv);
+ // Note: strong closure is preserved.
+ }
+ else {
+ // Here `w != var', so that `expr' is of the form
+ // +/-denominator * w + b.
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ const dimension_type n_w = 2*w_id;
+ // Add the new constraint `var - w = b/denominator'.
+ if (w_coeff == denominator) {
+ if (var_id < w_id) {
+ add_octagonal_constraint(n_w, n_var, b, denominator);
+ add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
+ }
+ else {
+ add_octagonal_constraint(n_var + 1, n_w + 1, b, denominator);
+ add_octagonal_constraint(n_var, n_w, b, minus_denom);
+ }
+ }
+ else {
+ // Add the new constraint `var + w = b/denominator'.
+ if (var_id < w_id) {
+ add_octagonal_constraint(n_w + 1, n_var, b, denominator);
+ add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
+ }
+ else {
+ add_octagonal_constraint(n_var + 1, n_w, b, denominator);
+ add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
+ }
+ }
+ incremental_strong_closure_assign(var);
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t == 1, expr == a*w + b, but a <> +/- denominator.
+ // We will remove all the constraints on `var' and add back
+ // constraints providing upper and lower bounds for `var'.
+
+ // Compute upper approximations for `expr' and `-expr'
+ // into `pos_sum' and `neg_sum', respectively, taking into account
+ // the sign of `denominator'.
+ // Note: approximating `-expr' from above and then negating the
+ // result is the same as approximating `expr' from below.
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign_r(minus_b, b, ROUND_NOT_NEEDED);
+
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -expr;
+ const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, pos_sum);
+ PPL_DIRTY_TEMP(N, neg_sum);
+ // Indices of the variables that are unbounded in `this->matrix'.
+ PPL_UNINITIALIZED(dimension_type, pos_pinf_index);
+ PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pos_pinf_count = 0;
+ dimension_type neg_pinf_count = 0;
+
+ // Approximate the inhomogeneous term.
+ assign_r(pos_sum, sc_b, ROUND_UP);
+ assign_r(neg_sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP(N, minus_coeff_i);
+ PPL_DIRTY_TEMP(N, half);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ const row_iterator m_begin = matrix.row_begin();
+ for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ Row_reference m_i = *m_iter;
+ ++m_iter;
+ Row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i > 0) {
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pos_pinf_count <= 1) {
+ const N& double_up_approx_i = m_ci[n_i];
+ if (!is_plus_infinity(double_up_approx_i)) {
+ // Let half = double_up_approx_i / 2.
+ div_2exp_assign_r(half, double_up_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(pos_sum, coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++pos_pinf_count;
+ pos_pinf_index = id;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& double_up_approx_minus_i = m_i[n_i + 1];
+ if (!is_plus_infinity(double_up_approx_minus_i)) {
+ // Let half = double_up_approx_minus_i / 2.
+ div_2exp_assign_r(half, double_up_approx_minus_i, 1, ROUND_UP);
+ add_mul_assign_r(neg_sum, coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = id;
+ }
+ }
+ }
+ else if (sign_i < 0) {
+ neg_assign_r(minus_sc_i, sc_i, ROUND_NOT_NEEDED);
+ assign_r(minus_coeff_i, minus_sc_i, ROUND_UP);
+ // Approximating `sc_expr'.
+ if (pos_pinf_count <= 1) {
+ const N& double_up_approx_minus_i = m_i[n_i + 1];
+ if (!is_plus_infinity(double_up_approx_minus_i)) {
+ // Let half = double_up_approx_minus_i / 2.
+ div_2exp_assign_r(half, double_up_approx_minus_i, 1, ROUND_UP);
+ add_mul_assign_r(pos_sum, minus_coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++pos_pinf_count;
+ pos_pinf_index = id;
+ }
+ }
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& double_up_approx_i = m_ci[n_i];
+ if (!is_plus_infinity(double_up_approx_i)) {
+ // Let half = double_up_approx_i / 2.
+ div_2exp_assign_r(half, double_up_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(neg_sum, minus_coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = id;
+ }
+ }
+ }
+ }
+
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ // Return immediately if no approximation could be computed.
+ if (pos_pinf_count > 1 && neg_pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // In the following, strong closure will be definitely lost.
+ reset_strongly_closed();
+
+ // Exploit the upper approximation, if possible.
+ if (pos_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(pos_sum, pos_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the upper bound constraint, if meaningful.
+ if (pos_pinf_count == 0) {
+ // Add the constraint `v <= pos_sum'.
+ PPL_DIRTY_TEMP(N, double_pos_sum);
+ mul_2exp_assign_r(double_pos_sum, pos_sum, 1, ROUND_UP);
+ matrix[n_var + 1][n_var] = double_pos_sum;
+ // Deduce constraints of the form `v +/- u', where `u != v'.
+ deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, pos_sum);
+ }
+ else
+ // Here `pos_pinf_count == 1'.
+ if (pos_pinf_index != var_id) {
+ const Coefficient& ppi = sc_expr.coefficient(Variable(pos_pinf_index));
+ if (ppi == sc_denom)
+ // Add the constraint `v - pos_pinf_index <= pos_sum'.
+ if (var_id < pos_pinf_index)
+ matrix[2*pos_pinf_index][n_var] = pos_sum;
+ else
+ matrix[n_var + 1][2*pos_pinf_index + 1] = pos_sum;
+ else
+ if (ppi == minus_sc_denom) {
+ // Add the constraint `v + pos_pinf_index <= pos_sum'.
+ if (var_id < pos_pinf_index)
+ matrix[2*pos_pinf_index + 1][n_var] = pos_sum;
+ else
+ matrix[n_var + 1][2*pos_pinf_index] = pos_sum;
+ }
+ }
+ }
+
+ // Exploit the lower approximation, if possible.
+ if (neg_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the lower bound constraint, if meaningful.
+ if (neg_pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ PPL_DIRTY_TEMP(N, double_neg_sum);
+ mul_2exp_assign_r(double_neg_sum, neg_sum, 1, ROUND_UP);
+ matrix[n_var][n_var + 1] = double_neg_sum;
+ // Deduce constraints of the form `-v +/- u', where `u != v'.
+ deduce_minus_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, neg_sum);
+ }
+ else
+ // Here `neg_pinf_count == 1'.
+ if (neg_pinf_index != var_id) {
+ const Coefficient& npi = sc_expr.coefficient(Variable(neg_pinf_index));
+ if (npi == sc_denom)
+ // Add the constraint `v - neg_pinf_index >= -neg_sum',
+ // i.e., `neg_pinf_index - v <= neg_sum'.
+ if (neg_pinf_index < var_id)
+ matrix[n_var][2*neg_pinf_index] = neg_sum;
+ else
+ matrix[2*neg_pinf_index + 1][n_var + 1] = neg_sum;
+ else
+ if (npi == minus_sc_denom) {
+ // Add the constraint `v + neg_pinf_index >= -neg_sum',
+ // i.e., `-neg_pinf_index - v <= neg_sum'.
+ if (neg_pinf_index < var_id)
+ matrix[n_var][2*neg_pinf_index + 1] = neg_sum;
+ else
+ matrix[2*neg_pinf_index][n_var + 1] = neg_sum;
+ }
+ }
+ }
+
+ incremental_strong_closure_assign(var);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+Octagonal_Shape<T>::affine_form_image(const Variable var,
+ const Linear_Form< Interval<T, Interval_Info> >& lf) {
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "Octagonal_Shape<T>::affine_form_image(Variable, Linear_Form):"
+ " T is not a floating point type.");
+
+ // Dimension-compatibility checks.
+ // The dimension of `lf' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type lf_space_dim = lf.space_dimension();
+ if (space_dim < lf_space_dim)
+ throw_dimension_incompatible("affine_form_image(v, l)", "l", lf);
+
+ // `var' should be one of the dimensions of the octagon.
+ const dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("affine_form_image(v, l)", var.id() + 1);
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty too.
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lf': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Variable-index of the last non-zero coefficient in `lf', if any.
+ dimension_type w_id = 0;
+
+ // Get information about the number of non-zero coefficients in `lf'.
+ for (dimension_type i = lf_space_dim; i-- > 0; )
+ if (lf.coefficient(Variable(i)) != 0) {
+ if (t++ == 1)
+ break;
+ else
+ w_id = i;
+ }
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+ using std::swap;
+
+ const dimension_type n_var = 2*var_id;
+ const FP_Interval_Type& b = lf.inhomogeneous_term();
+
+ // `w' is the variable with index `w_id'.
+ // Now we know the form of `lf':
+ // - If t == 0, then lf == [lb, ub];
+ // - If t == 1, then lf == a*w + [lb, ub], where `w' can be `v' or another
+ // variable;
+ // - If t == 2, the `lf' is of the general form.
+
+ PPL_DIRTY_TEMP(N, b_ub);
+ assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(N, b_mlb);
+ neg_assign_r(b_mlb, b.lower(), ROUND_NOT_NEEDED);
+
+ if (t == 0) {
+ // Case 1: lf = [lb, ub].
+ forget_all_octagonal_constraints(var_id);
+ mul_2exp_assign_r(b_mlb, b_mlb, 1, ROUND_UP);
+ mul_2exp_assign_r(b_ub, b_ub, 1, ROUND_UP);
+ // Add the constraint `var >= lb && var <= ub'.
+ add_octagonal_constraint(n_var + 1, n_var, b_ub);
+ add_octagonal_constraint(n_var, n_var + 1, b_mlb);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // True if `b' is in [0, 0].
+ bool is_b_zero = (b_mlb == 0 && b_ub == 0);
+
+ if (t == 1) {
+ // The one and only non-zero homogeneous coefficient in `lf'.
+ const FP_Interval_Type& w_coeff = lf.coefficient(Variable(w_id));
+ // True if `w_coeff' is in [1, 1].
+ bool is_w_coeff_one = (w_coeff == 1);
+ // True if `w_coeff' is in [-1, -1].
+ bool is_w_coeff_minus_one = (w_coeff == -1);
+ if (is_w_coeff_one || is_w_coeff_minus_one) {
+ // Case 2: lf = w_coeff*w + b, with w_coeff = [+/-1, +/-1].
+ if (w_id == var_id) {
+ // Here lf = w_coeff*v + b, with w_coeff = [+/-1, +/-1].
+ if (is_w_coeff_one && is_b_zero)
+ // The transformation is the identity function.
+ return;
+ // Translate all the constraints on `var' by adding the value
+ // `b_ub' or subtracting the value `b_lb'.
+ if (is_w_coeff_minus_one)
+ swap(b_ub, b_mlb);
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
+ ++m_iter;
+ row_reference m_cv = *m_iter;
+ ++m_iter;
+ // NOTE: delay update of unary constraints on `var'.
+ for (dimension_type j = n_var; j-- > 0; ) {
+ N& m_v_j = m_v[j];
+ add_assign_r(m_v_j, m_v_j, b_mlb, ROUND_UP);
+ N& m_cv_j = m_cv[j];
+ add_assign_r(m_cv_j, m_cv_j, b_ub, ROUND_UP);
+ if (is_w_coeff_minus_one)
+ swap(m_v_j, m_cv_j);
+ }
+ for ( ; m_iter != m_end; ++m_iter) {
+ row_reference m_i = *m_iter;
+ N& m_i_v = m_i[n_var];
+ add_assign_r(m_i_v, m_i_v, b_ub, ROUND_UP);
+ N& m_i_cv = m_i[n_var + 1];
+ add_assign_r(m_i_cv, m_i_cv, b_mlb, ROUND_UP);
+ if (is_w_coeff_minus_one)
+ swap(m_i_v, m_i_cv);
+ }
+ // Now update unary constraints on var.
+ mul_2exp_assign_r(b_ub, b_ub, 1, ROUND_UP);
+ N& m_cv_v = m_cv[n_var];
+ add_assign_r(m_cv_v, m_cv_v, b_ub, ROUND_UP);
+ mul_2exp_assign_r(b_mlb, b_mlb, 1, ROUND_UP);
+ N& m_v_cv = m_v[n_var + 1];
+ add_assign_r(m_v_cv, m_v_cv, b_mlb, ROUND_UP);
+ if (is_w_coeff_minus_one)
+ swap(m_cv_v, m_v_cv);
+ // Note: strong closure is preserved.
+ }
+ else {
+ // Here `w != var', so that `lf' is of the form
+ // [+/-1, +/-1] * w + b.
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ const dimension_type n_w = 2*w_id;
+ if (is_w_coeff_one)
+ // Add the new constraints `var - w >= b_lb'
+ // `and var - w <= b_ub'.
+ if (var_id < w_id) {
+ add_octagonal_constraint(n_w, n_var, b_ub);
+ add_octagonal_constraint(n_w + 1, n_var + 1, b_mlb);
+ }
+ else {
+ add_octagonal_constraint(n_var + 1, n_w + 1, b_ub);
+ add_octagonal_constraint(n_var, n_w, b_mlb);
+ }
+ else
+ // Add the new constraints `var + w >= b_lb'
+ // `and var + w <= b_ub'.
+ if (var_id < w_id) {
+ add_octagonal_constraint(n_w + 1, n_var, b_ub);
+ add_octagonal_constraint(n_w, n_var + 1, b_mlb);
+ }
+ else {
+ add_octagonal_constraint(n_var + 1, n_w, b_ub);
+ add_octagonal_constraint(n_var, n_w + 1, b_mlb);
+ }
+ incremental_strong_closure_assign(var);
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr == i_1*x_1 + i_2*x_2 + ... + i_n*x_n + b, where n >= 2,
+ // or t == 1, expr == i*w + b, but i <> [+/-1, +/-1].
+
+ // In the following, strong closure will be definitely lost.
+ reset_strongly_closed();
+
+ Linear_Form<FP_Interval_Type> minus_lf(lf);
+ minus_lf.negate();
+
+ // Declare temporaries outside the loop.
+ PPL_DIRTY_TEMP(N, upper_bound);
+
+ row_iterator m_iter = matrix.row_begin();
+ m_iter += n_var;
+ row_reference var_ite = *m_iter;
+ ++m_iter;
+ row_reference var_cv_ite = *m_iter;
+ ++m_iter;
+ row_iterator m_end = matrix.row_end();
+
+ // Update binary constraints on var FIRST.
+ for (dimension_type curr_var = var_id,
+ n_curr_var = n_var - 2; curr_var-- > 0; ) {
+ Variable current(curr_var);
+ linear_form_upper_bound(lf + current, upper_bound);
+ assign_r(var_cv_ite[n_curr_var], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(lf - current, upper_bound);
+ assign_r(var_cv_ite[n_curr_var + 1], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(minus_lf + current, upper_bound);
+ assign_r(var_ite[n_curr_var], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(minus_lf - current, upper_bound);
+ assign_r(var_ite[n_curr_var + 1], upper_bound, ROUND_NOT_NEEDED);
+ n_curr_var -= 2;
+ }
+ for (dimension_type curr_var = var_id + 1; m_iter != m_end; ++m_iter) {
+ row_reference m_v_ite = *m_iter;
+ ++m_iter;
+ row_reference m_cv_ite = *m_iter;
+ Variable current(curr_var);
+ linear_form_upper_bound(lf + current, upper_bound);
+ assign_r(m_cv_ite[n_var], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(lf - current, upper_bound);
+ assign_r(m_v_ite[n_var], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(minus_lf + current, upper_bound);
+ assign_r(m_cv_ite[n_var + 1], upper_bound, ROUND_NOT_NEEDED);
+ linear_form_upper_bound(minus_lf - current, upper_bound);
+ assign_r(m_v_ite[n_var + 1], upper_bound, ROUND_NOT_NEEDED);
+ ++curr_var;
+ }
+
+ // Finally, update unary constraints on var.
+ PPL_DIRTY_TEMP(N, lf_ub);
+ linear_form_upper_bound(lf, lf_ub);
+ PPL_DIRTY_TEMP(N, minus_lf_ub);
+ linear_form_upper_bound(minus_lf, minus_lf_ub);
+ mul_2exp_assign_r(lf_ub, lf_ub, 1, ROUND_UP);
+ assign_r(matrix[n_var + 1][n_var], lf_ub, ROUND_NOT_NEEDED);
+ mul_2exp_assign_r(minus_lf_ub, minus_lf_ub, 1, ROUND_UP);
+ assign_r(matrix[n_var][n_var + 1], minus_lf_ub, ROUND_NOT_NEEDED);
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename Interval_Info>
+void
+Octagonal_Shape<T>::
+linear_form_upper_bound(const Linear_Form< Interval<T, Interval_Info> >& lf,
+ N& result) const {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "Octagonal_Shape<T>::linear_form_upper_bound:"
+ " T not a floating point type.");
+
+ const dimension_type lf_space_dimension = lf.space_dimension();
+ PPL_ASSERT(lf_space_dimension <= space_dim);
+
+ typedef Interval<T, Interval_Info> FP_Interval_Type;
+
+ PPL_DIRTY_TEMP(N, curr_lb);
+ PPL_DIRTY_TEMP(N, curr_ub);
+ PPL_DIRTY_TEMP(N, curr_var_ub);
+ PPL_DIRTY_TEMP(N, curr_minus_var_ub);
+
+ PPL_DIRTY_TEMP(N, first_comparison_term);
+ PPL_DIRTY_TEMP(N, second_comparison_term);
+
+ PPL_DIRTY_TEMP(N, negator);
+
+ assign_r(result, lf.inhomogeneous_term().upper(), ROUND_NOT_NEEDED);
+
+ for (dimension_type curr_var = 0, n_var = 0; curr_var < lf_space_dimension;
+ ++curr_var) {
+ const FP_Interval_Type& curr_coefficient =
+ lf.coefficient(Variable(curr_var));
+ assign_r(curr_lb, curr_coefficient.lower(), ROUND_NOT_NEEDED);
+ assign_r(curr_ub, curr_coefficient.upper(), ROUND_NOT_NEEDED);
+ if (curr_lb != 0 || curr_ub != 0) {
+ assign_r(curr_var_ub, matrix[n_var + 1][n_var], ROUND_NOT_NEEDED);
+ div_2exp_assign_r(curr_var_ub, curr_var_ub, 1, ROUND_UP);
+ neg_assign_r(curr_minus_var_ub, matrix[n_var][n_var + 1],
+ ROUND_NOT_NEEDED);
+ div_2exp_assign_r(curr_minus_var_ub, curr_minus_var_ub, 1, ROUND_DOWN);
+ // Optimize the most common case: curr = +/-[1, 1].
+ if (curr_lb == 1 && curr_ub == 1) {
+ add_assign_r(result, result, std::max(curr_var_ub, curr_minus_var_ub),
+ ROUND_UP);
+ }
+ else if (curr_lb == -1 && curr_ub == -1) {
+ neg_assign_r(negator, std::min(curr_var_ub, curr_minus_var_ub),
+ ROUND_NOT_NEEDED);
+ add_assign_r(result, result, negator, ROUND_UP);
+ }
+ else {
+ // Next addend will be the maximum of four quantities.
+ assign_r(first_comparison_term, 0, ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ add_mul_assign_r(first_comparison_term, curr_var_ub, curr_ub,
+ ROUND_UP);
+ add_mul_assign_r(second_comparison_term, curr_var_ub, curr_lb,
+ ROUND_UP);
+ assign_r(first_comparison_term, std::max(first_comparison_term,
+ second_comparison_term),
+ ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_ub,
+ ROUND_UP);
+ assign_r(first_comparison_term, std::max(first_comparison_term,
+ second_comparison_term),
+ ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ add_mul_assign_r(second_comparison_term, curr_minus_var_ub, curr_lb,
+ ROUND_UP);
+ assign_r(first_comparison_term, std::max(first_comparison_term,
+ second_comparison_term),
+ ROUND_NOT_NEEDED);
+
+ add_assign_r(result, result, first_comparison_term, ROUND_UP);
+ }
+ }
+
+ n_var += 2;
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::
+interval_coefficient_upper_bound(const N& var_ub, const N& minus_var_ub,
+ const N& int_ub, const N& int_lb,
+ N& result) {
+
+ // Check that T is a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
+ "Octagonal_Shape<T>::interval_coefficient_upper_bound:"
+ " T not a floating point type.");
+
+ // NOTE: we store the first comparison term directly into result.
+ PPL_DIRTY_TEMP(N, second_comparison_term);
+ PPL_DIRTY_TEMP(N, third_comparison_term);
+ PPL_DIRTY_TEMP(N, fourth_comparison_term);
+
+ assign_r(result, 0, ROUND_NOT_NEEDED);
+ assign_r(second_comparison_term, 0, ROUND_NOT_NEEDED);
+ assign_r(third_comparison_term, 0, ROUND_NOT_NEEDED);
+ assign_r(fourth_comparison_term, 0, ROUND_NOT_NEEDED);
+
+ add_mul_assign_r(result, var_ub, int_ub, ROUND_UP);
+ add_mul_assign_r(second_comparison_term, minus_var_ub, int_ub, ROUND_UP);
+ add_mul_assign_r(third_comparison_term, var_ub, int_lb, ROUND_UP);
+ add_mul_assign_r(fourth_comparison_term, minus_var_ub, int_lb, ROUND_UP);
+
+ assign_r(result, std::max(result, second_comparison_term), ROUND_NOT_NEEDED);
+ assign_r(result, std::max(result, third_comparison_term), ROUND_NOT_NEEDED);
+ assign_r(result, std::max(result, fourth_comparison_term), ROUND_NOT_NEEDED);
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::affine_preimage(const Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("affine_preimage(v, e, d)", "e", expr);
+
+ // `var' should be one of the dimensions of the octagon.
+ dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("affine_preimage(v, e, d)", var_id + 1);
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty too.
+ if (marked_empty())
+ return;
+
+ const Coefficient& b = expr.inhomogeneous_term();
+
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+
+ // Variable-index of the last non-zero coefficient in `expr', if any.
+ dimension_type w_id = expr.last_nonzero();
+
+ if (w_id != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w_id))
+ ++t;
+ --w_id;
+ }
+
+ // `w' is the variable with index `w_id'.
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `expr' is of the general form.
+
+ if (t == 0) {
+ // Case 1: expr = n; remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // Value of the one and only non-zero coefficient in `expr'.
+ const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
+ if (w_coeff == denominator || w_coeff == -denominator) {
+ // Case 2: expr = w_coeff*w + b, with w_coeff = +/- denominator.
+ if (w_id == var_id) {
+ // Apply affine_image() on the inverse of this transformation.
+ affine_image(var, denominator*var - b, w_coeff);
+ }
+ else {
+ // `expr == w_coeff*w + b', where `w != var'.
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ PPL_ASSERT(OK());
+ }
+ return;
+ }
+ }
+ // General case.
+ // Either t == 2, so that
+ // expr = a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t = 1, expr = a*w + b, but a <> +/- denominator.
+ const Coefficient& coeff_v = expr.coefficient(var);
+ if (coeff_v != 0) {
+ if (coeff_v > 0) {
+ // The transformation is invertible.
+ Linear_Expression inverse = ((coeff_v + denominator)*var);
+ inverse -= expr;
+ affine_image(var, inverse, coeff_v);
+ }
+ else {
+ // The transformation is invertible.
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_coeff_v);
+ neg_assign(minus_coeff_v, coeff_v);
+ Linear_Expression inverse = ((minus_coeff_v - denominator)*var);
+ inverse += expr;
+ affine_image(var, inverse, minus_coeff_v);
+ }
+ }
+ else {
+ // The transformation is not invertible: all constraints on `var' are lost.
+ forget_all_octagonal_constraints(var_id);
+ PPL_ASSERT(OK());
+ }
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::generalized_affine_image(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr ,
+ Coefficient_traits::const_reference denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(v, r, e, d)", "e",
+ expr);
+
+ // `var' should be one of the dimensions of the octagon.
+ dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
+ var_id + 1);
+
+ // The relation symbol cannot be a strict relation symbol.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(v, r, e, d)",
+ "r is the disequality relation symbol");
+
+ if (relsym == EQUAL) {
+ // The relation symbol is "=":
+ // this is just an affine image computation.
+ affine_image(var, expr, denominator);
+ return;
+ }
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty too.
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Variable-index of the last non-zero coefficient in `expr', if any.
+ dimension_type w_id = expr.last_nonzero();
+
+ if (w_id != 0) {
+ ++t;
+ if (!expr.all_zeroes(1, w_id))
+ ++t;
+ --w_id;
+ }
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+ const dimension_type n_var = 2*var_id;
+ const Coefficient& b = expr.inhomogeneous_term();
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign_r(minus_denom, denominator, ROUND_NOT_NEEDED);
+
+ // `w' is the variable with index `w_id'.
+ // Now we know the form of `expr':
+ // - If t == 0, then expr == b, with `b' a constant;
+ // - If t == 1, then expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `expr' is of the general form.
+
+ if (t == 0) {
+ // Case 1: expr = b.
+ PPL_DIRTY_TEMP_COEFFICIENT(two_b);
+ two_b = 2*b;
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ // Strong closure is lost.
+ reset_strongly_closed();
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ // Add the constraint `var <= b/denominator'.
+ add_octagonal_constraint(n_var + 1, n_var, two_b, denominator);
+ break;
+ case GREATER_OR_EQUAL:
+ // Add the constraint `var >= n/denominator',
+ // i.e., `-var <= -b/denominator'.
+ add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // The one and only non-zero homogeneous coefficient in `expr'.
+ const Coefficient& w_coeff = expr.coefficient(Variable(w_id));
+ if (w_coeff == denominator || w_coeff == minus_denom) {
+ // Case 2: expr == w_coeff*w + b, with w_coeff == +/- denominator.
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ {
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, denominator);
+ if (w_id == var_id) {
+ // Here `expr' is of the form: +/- denominator * v + b.
+ // Strong closure is not preserved.
+ reset_strongly_closed();
+ if (w_coeff == denominator) {
+ // Translate all the constraints of the form `v - w <= cost'
+ // into the constraint `v - w <= cost + b/denominator';
+ // forget each constraint `w - v <= cost1'.
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
+ N& m_v_cv = m_v[n_var + 1];
+ ++m_iter;
+ row_reference m_cv = *m_iter;
+ N& m_cv_v = m_cv[n_var];
+ ++m_iter;
+ // NOTE: delay update of m_v_cv and m_cv_v.
+ for ( ; m_iter != m_end; ++m_iter) {
+ row_reference m_i = *m_iter;
+ N& m_i_v = m_i[n_var];
+ add_assign_r(m_i_v, m_i_v, d, ROUND_UP);
+ assign_r(m_i[n_var + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ for (dimension_type k = n_var; k-- > 0; ) {
+ assign_r(m_v[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ add_assign_r(m_cv[k], m_cv[k], d, ROUND_UP);
+ }
+ mul_2exp_assign_r(d, d, 1, ROUND_UP);
+ add_assign_r(m_cv_v, m_cv_v, d, ROUND_UP);
+ assign_r(m_v_cv, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ else {
+ // Here `w_coeff == -denominator'.
+ // `expr' is of the form: -a*var + b.
+ N& m_v_cv = matrix[n_var][n_var + 1];
+ mul_2exp_assign_r(d, d, 1, ROUND_UP);
+ add_assign_r(matrix[n_var + 1][n_var], m_v_cv, d, ROUND_UP);
+ assign_r(m_v_cv, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ forget_binary_octagonal_constraints(var_id);
+ }
+ }
+ else {
+ // Here `w != v', so that `expr' is the form
+ // +/- denominator*w + b.
+ // Remove all constraints on `v'.
+ forget_all_octagonal_constraints(var_id);
+ const dimension_type n_w = 2*w_id;
+ if (w_coeff == denominator) {
+ // Add the new constraint `v - w <= b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w, n_var, b, denominator);
+ else
+ add_octagonal_constraint(n_var + 1, n_w + 1, b, denominator);
+ }
+ else {
+ // Add the new constraint `v + w <= b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w + 1, n_var, b, denominator);
+ else
+ add_octagonal_constraint(n_var + 1, n_w, b, denominator);
+ }
+ }
+ break;
+ }
+
+ case GREATER_OR_EQUAL:
+ {
+ PPL_DIRTY_TEMP(N, d);
+ div_round_up(d, b, minus_denom);
+ if (w_id == var_id) {
+ // Here `expr' is of the form: +/- denominator * v + b.
+ // Strong closure is not preserved.
+ reset_strongly_closed();
+ if (w_coeff == denominator) {
+ // Translate each constraint `w - v <= cost'
+ // into the constraint `w - v <= cost - b/denominator';
+ // forget each constraint `v - w <= cost1'.
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
+ N& m_v_cv = m_v[n_var + 1];
+ ++m_iter;
+ row_reference m_cv = *m_iter;
+ N& m_cv_v = m_cv[n_var];
+ ++m_iter;
+ // NOTE: delay update of m_v_cv and m_cv_v.
+ for ( ; m_iter != m_end; ++m_iter) {
+ row_reference m_i = *m_iter;
+ assign_r(m_i[n_var], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ add_assign_r(m_i[n_var + 1], m_i[n_var + 1], d, ROUND_UP);
+ }
+ for (dimension_type k = n_var; k-- > 0; ) {
+ add_assign_r(m_v[k], m_v[k], d, ROUND_UP);
+ assign_r(m_cv[k], PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ mul_2exp_assign_r(d, d, 1, ROUND_UP);
+ add_assign_r(m_v_cv, m_v_cv, d, ROUND_UP);
+ assign_r(m_cv_v, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ }
+ else {
+ // Here `w_coeff == -denominator'.
+ // `expr' is of the form: -a*var + b.
+ N& m_cv_v = matrix[n_var + 1][n_var];
+ mul_2exp_assign_r(d, d, 1, ROUND_UP);
+ add_assign_r(matrix[n_var][n_var + 1], m_cv_v, d, ROUND_UP);
+ assign_r(m_cv_v, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ forget_binary_octagonal_constraints(var_id);
+ }
+ }
+ else {
+ // Here `w != v', so that `expr' is of the form
+ // +/-denominator * w + b, with `w != v'.
+ // Remove all constraints on `v'.
+ forget_all_octagonal_constraints(var_id);
+ const dimension_type n_w = 2*w_id;
+ // We have got an expression of the following form:
+ // var1 + n, with `var1' != `var'.
+ // We remove all constraints of the form `var (+/- var1) >= const'
+ // and we add the new constraint `var +/- var1 >= n/denominator'.
+ if (w_coeff == denominator) {
+ // Add the new constraint `var - w >= b/denominator',
+ // i.e., `w - var <= -b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
+ else
+ add_octagonal_constraint(n_var, n_w, b, minus_denom);
+ }
+ else {
+ // Add the new constraint `var + w >= b/denominator',
+ // i.e., `-w - var <= -b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
+ else
+ add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
+ }
+ }
+ break;
+ }
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t == 1, expr == a*w + b, but a <> +/- denominator.
+ // We will remove all the constraints on `v' and add back
+ // a constraint providing an upper or a lower bound for `v'
+ // (depending on `relsym').
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign(minus_b, b);
+ const Coefficient& sc_b = is_sc ? b : minus_b;
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -expr;
+ const Linear_Expression& sc_expr = is_sc ? expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, sum);
+ // Index of variable that is unbounded in `this->matrix'.
+ PPL_UNINITIALIZED(dimension_type, pinf_index);
+ // Number of unbounded variables found.
+ dimension_type pinf_count = 0;
+
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ {
+ // Compute an upper approximation for `sc_expr' into `sum'.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, sc_b, ROUND_UP);
+ // Approximate the homogeneous part of `sc_expr'.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP(N, approx_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ Row_reference m_i = *m_iter;
+ ++m_iter;
+ Row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i == 0)
+ continue;
+ // Choose carefully: we are approximating `sc_expr'.
+ const N& double_approx_i = (sign_i > 0) ? m_ci[n_i] : m_i[n_i + 1];
+ if (is_plus_infinity(double_approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = id;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+ // Remove all constraints on `v'.
+ forget_all_octagonal_constraints(var_id);
+ reset_strongly_closed();
+ // Return immediately if no approximation could be computed.
+ if (pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is
+ // achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v <= pos_sum'.
+ PPL_DIRTY_TEMP(N, double_sum);
+ mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
+ matrix[n_var + 1][n_var] = double_sum;
+ // Deduce constraints of the form `v +/- u', where `u != v'.
+ deduce_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1)
+ if (pinf_index != var_id) {
+ const Coefficient& pi = expr.coefficient(Variable(pinf_index));
+ if (pi == denominator ) {
+ // Add the constraint `v - pinf_index <= sum'.
+ if (var_id < pinf_index)
+ matrix[2*pinf_index][n_var] = sum;
+ else
+ matrix[n_var + 1][2*pinf_index + 1] = sum;
+ }
+ else {
+ if (pi == minus_denom) {
+ // Add the constraint `v + pinf_index <= sum'.
+ if (var_id < pinf_index)
+ matrix[2*pinf_index + 1][n_var] = sum;
+ else
+ matrix[n_var + 1][2*pinf_index] = sum;
+ }
+ }
+ }
+ break;
+ }
+
+ case GREATER_OR_EQUAL:
+ {
+ // Compute an upper approximation for `-sc_expr' into `sum'.
+ // Note: approximating `-sc_expr' from above and then negating the
+ // result is the same as approximating `sc_expr' from below.
+
+ // Approximate the inhomogeneous term.
+ assign_r(sum, minus_sc_b, ROUND_UP);
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ PPL_DIRTY_TEMP(N, approx_i);
+ // Approximate the homogeneous part of `-sc_expr'.
+ for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ Row_reference m_i = *m_iter;
+ ++m_iter;
+ Row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i == 0)
+ continue;
+ // Choose carefully: we are approximating `-sc_expr'.
+ const N& double_approx_i = (sign_i > 0) ? m_i[n_i + 1] : m_ci[n_i];
+ if (is_plus_infinity(double_approx_i)) {
+ if (++pinf_count > 1)
+ break;
+ pinf_index = id;
+ continue;
+ }
+ if (sign_i > 0)
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ else {
+ neg_assign(minus_sc_i, sc_i);
+ assign_r(coeff_i, minus_sc_i, ROUND_UP);
+ }
+ div_2exp_assign_r(approx_i, double_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(sum, coeff_i, approx_i, ROUND_UP);
+ }
+
+ // Remove all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ reset_strongly_closed();
+ // Return immediately if no approximation could be computed.
+ if (pinf_count > 1) {
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ // Divide by the (sign corrected) denominator (if needed).
+ if (sc_denom != 1) {
+ // Before computing the quotient, the denominator should be
+ // approximated towards zero. Since `sc_denom' is known to be
+ // positive, this amounts to rounding downwards, which is
+ // achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(sum, sum, down_sc_denom, ROUND_UP);
+ }
+
+ if (pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ PPL_DIRTY_TEMP(N, double_sum);
+ mul_2exp_assign_r(double_sum, sum, 1, ROUND_UP);
+ matrix[n_var][n_var + 1] = double_sum;
+ // Deduce constraints of the form `-v +/- u', where `u != v'.
+ deduce_minus_v_pm_u_bounds(var_id, pinf_index, sc_expr, sc_denom, sum);
+ }
+ else if (pinf_count == 1)
+ if (pinf_index != var_id) {
+ const Coefficient& pi = expr.coefficient(Variable(pinf_index));
+ if (pi == denominator) {
+ // Add the constraint `v - pinf_index >= -sum',
+ // i.e., `pinf_index - v <= sum'.
+ if (pinf_index < var_id)
+ matrix[n_var][2*pinf_index] = sum;
+ else
+ matrix[2*pinf_index + 1][n_var + 1] = sum;
+ }
+ else {
+ if (pi == minus_denom) {
+ // Add the constraint `v + pinf_index >= -sum',
+ // i.e., `-pinf_index - v <= sum'.
+ if (pinf_index < var_id)
+ matrix[n_var][2*pinf_index + 1] = sum;
+ else
+ matrix[2*pinf_index][n_var + 1] = sum;
+ }
+ }
+ }
+ break;
+ }
+
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ incremental_strong_closure_assign(var);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::generalized_affine_image(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ // Dimension-compatibility checks.
+ // The dimension of `lhs' should not be greater than the dimension
+ // of `*this'.
+ dimension_type lhs_space_dim = lhs.space_dimension();
+ if (space_dim < lhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e1", lhs);
+
+ // The dimension of `rhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type rhs_space_dim = rhs.space_dimension();
+ if (space_dim < rhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
+ "e2", rhs);
+
+ // Strict relation symbols are not admitted for octagons.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_image(e1, r, e2)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_image(e1, r, e2)",
+ "r is the disequality relation symbol");
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty.
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lhs': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t_lhs = 0;
+ // Index of the last non-zero coefficient in `lhs', if any.
+ dimension_type j_lhs = lhs.last_nonzero();
+
+ if (j_lhs != 0) {
+ ++t_lhs;
+ if (!lhs.all_zeroes(1, j_lhs))
+ ++t_lhs;
+ --j_lhs;
+ }
+
+ const Coefficient& b_lhs = lhs.inhomogeneous_term();
+
+ if (t_lhs == 0) {
+ // `lhs' is a constant.
+ // In principle, it is sufficient to add the constraint `lhs relsym rhs'.
+ // Note that this constraint is an octagonal difference if `t_rhs <= 1'
+ // or `t_rhs > 1' and `rhs == a*v - a*w + b_rhs' or
+ // `rhs == a*v + a*w + b_rhs'. If `rhs' is of a
+ // more general form, it will be simply ignored.
+ // TODO: if it is not an octagonal difference, should we compute
+ // approximations for this constraint?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+
+ else if (t_lhs == 1) {
+ // Here `lhs == a_lhs * v + b_lhs'.
+ // Independently from the form of `rhs', we can exploit the
+ // method computing generalized affine images for a single variable.
+ Variable v(j_lhs);
+ // Compute a sign-corrected relation symbol.
+ const Coefficient& denom = lhs.coefficient(v);
+ Relation_Symbol new_relsym = relsym;
+ if (denom < 0) {
+ if (relsym == LESS_OR_EQUAL)
+ new_relsym = GREATER_OR_EQUAL;
+ else if (relsym == GREATER_OR_EQUAL)
+ new_relsym = LESS_OR_EQUAL;
+ }
+ Linear_Expression expr = rhs - b_lhs;
+ generalized_affine_image(v, new_relsym, expr, denom);
+ }
+ else {
+ // Here `lhs' is of the general form, having at least two variables.
+ // Compute the set of variables occurring in `lhs'.
+ std::vector<Variable> lhs_vars;
+ for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
+ i != i_end; ++i)
+ lhs_vars.push_back(i.variable());
+
+ const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
+ if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
+ // `lhs' and `rhs' variables are disjoint.
+ // Existentially quantify all variables in the lhs.
+ for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
+ dimension_type lhs_vars_i = lhs_vars[i].id();
+ forget_all_octagonal_constraints(lhs_vars_i);
+ }
+ // Constrain the left hand side expression so that it is related to
+ // the right hand side expression as dictated by `relsym'.
+ // TODO: if the following constraint is NOT an octagonal difference,
+ // it will be simply ignored. Should we compute approximations for it?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ }
+ else {
+ // Some variables in `lhs' also occur in `rhs'.
+
+#if 1 // Simplified computation (see the TODO note below).
+
+ for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
+ dimension_type lhs_vars_i = lhs_vars[i].id();
+ forget_all_octagonal_constraints(lhs_vars_i);
+ }
+
+#else // Currently unnecessarily complex computation.
+
+ // More accurate computation that is worth doing only if
+ // the following TODO note is accurately dealt with.
+
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(space_dim);
+ add_space_dimensions_and_embed(1);
+ // Constrain the new dimension to be equal to `rhs'.
+ // NOTE: calling affine_image() instead of refine_no_check()
+ // ensures some approximation is tried even when the constraint
+ // is not an octagonal constraint.
+ affine_image(new_var, rhs);
+ // Existentially quantify all variables in the lhs.
+ // NOTE: enforce strong closure for precision.
+ strong_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
+ dimension_type lhs_vars_i = lhs_vars[i].id();
+ forget_all_octagonal_constraints(lhs_vars_i);
+ }
+ // Constrain the new dimension so that it is related to
+ // the left hand side as dictated by `relsym'.
+ // TODO: each one of the following constraints is definitely NOT
+ // an octagonal difference (since it has 3 variables at least).
+ // Thus, the method refine_no_check() will simply ignore it.
+ // Should we compute approximations for this constraint?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= new_var);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == new_var);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= new_var);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(space_dim-1);
+#endif // Currently unnecessarily complex computation.
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::bounded_affine_image(const Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
+
+ // `var' should be one of the dimensions of the octagon.
+ const dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ var_id + 1);
+
+ // The dimension of `lb_expr' and `ub_expr' should not be
+ // greater than the dimension of `*this'.
+ const dimension_type lb_space_dim = lb_expr.space_dimension();
+ if (space_dim < lb_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "lb", lb_expr);
+ const dimension_type ub_space_dim = ub_expr.space_dimension();
+ if (space_dim < ub_space_dim)
+ throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
+ "ub", ub_expr);
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty too.
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lb_expr': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t = 0;
+ // Variable-index of the last non-zero coefficient in `lb_expr', if any.
+ dimension_type w_id = lb_expr.last_nonzero();
+
+ if (w_id != 0) {
+ ++t;
+ if (!lb_expr.all_zeroes(1, w_id))
+ ++t;
+ --w_id;
+ }
+
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const dimension_type n_var = 2*var_id;
+ const Coefficient& b = lb_expr.inhomogeneous_term();
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
+ neg_assign_r(minus_denom, denominator, ROUND_NOT_NEEDED);
+
+ // `w' is the variable with index `w_id'.
+ // Now we know the form of `lb_expr':
+ // - If t == 0, then lb_expr == b, with `b' a constant;
+ // - If t == 1, then lb_expr == a*w + b, where `w' can be `v' or another
+ // variable; in this second case we have to check whether `a' is
+ // equal to `denominator' or `-denominator', since otherwise we have
+ // to fall back on the general form;
+ // - If t == 2, the `lb_expr' is of the general form.
+
+ if (t == 0) {
+ // Case 1: lb_expr == b.
+ generalized_affine_image(var,
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
+ PPL_DIRTY_TEMP_COEFFICIENT(two_b);
+ two_b = 2*b;
+ // Add the constraint `var >= b/denominator'.
+ add_octagonal_constraint(n_var, n_var + 1, two_b, minus_denom);
+ PPL_ASSERT(OK());
+ return;
+ }
+
+ if (t == 1) {
+ // The one and only non-zero homogeneous coefficient in `lb_expr'.
+ const Coefficient& w_coeff = lb_expr.coefficient(Variable(w_id));
+ if (w_coeff == denominator || w_coeff == minus_denom) {
+ // Case 2: lb_expr = w_coeff*w + b, with w_coeff = +/- denominator.
+ if (w_id == var_id) {
+ // Here `var' occurs in `lb_expr'.
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(space_dim);
+ add_space_dimensions_and_embed(1);
+ // Constrain the new dimension to be equal to `lb_expr'.
+ // Here `lb_expr' is of the form: +/- denominator * v + b.
+ affine_image(new_var, lb_expr, denominator);
+ // Enforce the strong closure for precision.
+ strong_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ // Apply the affine upper bound.
+ generalized_affine_image(var,
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
+ // Now apply the affine lower bound, as recorded in `new_var'
+ refine_no_check(var >= new_var);
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(space_dim-1);
+ return;
+ }
+ else {
+ // Apply the affine upper bound.
+ generalized_affine_image(var,
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
+ // Here `w != var', so that `lb_expr' is of the form
+ // +/-denominator * w + b.
+ const dimension_type n_w = 2*w_id;
+ // Add the new constraint `var - w >= b/denominator'.
+ if (w_coeff == denominator)
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w + 1, n_var + 1, b, minus_denom);
+ else
+ add_octagonal_constraint(n_var, n_w, b, minus_denom);
+ else {
+ // Add the new constraint `var + w >= b/denominator'.
+ if (var_id < w_id)
+ add_octagonal_constraint(n_w, n_var + 1, b, minus_denom);
+ else
+ add_octagonal_constraint(n_var, n_w + 1, b, minus_denom);
+ }
+ PPL_ASSERT(OK());
+ return;
+ }
+ }
+ }
+
+ // General case.
+ // Either t == 2, so that
+ // expr == a_1*x_1 + a_2*x_2 + ... + a_n*x_n + b, where n >= 2,
+ // or t == 1, expr == a*w + b, but a <> +/- denominator.
+ // We will remove all the constraints on `var' and add back
+ // constraints providing upper and lower bounds for `var'.
+
+ // Compute upper approximations for `expr' and `-expr'
+ // into `pos_sum' and `neg_sum', respectively, taking into account
+ // the sign of `denominator'.
+ // Note: approximating `-expr' from above and then negating the
+ // result is the same as approximating `expr' from below.
+ const bool is_sc = (denominator > 0);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_b);
+ neg_assign_r(minus_b, b, ROUND_NOT_NEEDED);
+
+ const Coefficient& minus_sc_b = is_sc ? minus_b : b;
+ const Coefficient& sc_denom = is_sc ? denominator : minus_denom;
+ const Coefficient& minus_sc_denom = is_sc ? minus_denom : denominator;
+ // NOTE: here, for optimization purposes, `minus_expr' is only assigned
+ // when `denominator' is negative. Do not use it unless you are sure
+ // it has been correctly assigned.
+ Linear_Expression minus_expr;
+ if (!is_sc)
+ minus_expr = -lb_expr;
+ const Linear_Expression& sc_expr = is_sc ? lb_expr : minus_expr;
+
+ PPL_DIRTY_TEMP(N, neg_sum);
+ // Indices of the variables that are unbounded in `this->matrix'.
+ PPL_UNINITIALIZED(dimension_type, neg_pinf_index);
+ // Number of unbounded variables found.
+ dimension_type neg_pinf_count = 0;
+
+ // Approximate the inhomogeneous term.
+ assign_r(neg_sum, minus_sc_b, ROUND_UP);
+
+ // Approximate the homogeneous part of `sc_expr'.
+ PPL_DIRTY_TEMP(N, coeff_i);
+ PPL_DIRTY_TEMP(N, minus_coeff_i);
+ PPL_DIRTY_TEMP(N, half);
+ PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
+ // Note: indices above `w' can be disregarded, as they all have
+ // a zero coefficient in `sc_expr'.
+ for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
+ m_iter != m_iter_end; ) {
+ const dimension_type n_i = m_iter.index();
+ const dimension_type id = n_i/2;
+ Row_reference m_i = *m_iter;
+ ++m_iter;
+ Row_reference m_ci = *m_iter;
+ ++m_iter;
+ const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
+ const int sign_i = sgn(sc_i);
+ if (sign_i > 0) {
+ assign_r(coeff_i, sc_i, ROUND_UP);
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& double_up_approx_minus_i = m_i[n_i + 1];
+ if (!is_plus_infinity(double_up_approx_minus_i)) {
+ // Let half = double_up_approx_minus_i / 2.
+ div_2exp_assign_r(half, double_up_approx_minus_i, 1, ROUND_UP);
+ add_mul_assign_r(neg_sum, coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = id;
+ }
+ }
+ }
+ else if (sign_i < 0) {
+ neg_assign_r(minus_sc_i, sc_i, ROUND_NOT_NEEDED);
+ assign_r(minus_coeff_i, minus_sc_i, ROUND_UP);
+ // Approximating `-sc_expr'.
+ if (neg_pinf_count <= 1) {
+ const N& double_up_approx_i = m_ci[n_i];
+ if (!is_plus_infinity(double_up_approx_i)) {
+ // Let half = double_up_approx_i / 2.
+ div_2exp_assign_r(half, double_up_approx_i, 1, ROUND_UP);
+ add_mul_assign_r(neg_sum, minus_coeff_i, half, ROUND_UP);
+ }
+ else {
+ ++neg_pinf_count;
+ neg_pinf_index = id;
+ }
+ }
+ }
+ }
+
+ // Apply the affine upper bound.
+ generalized_affine_image(var,
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
+
+ // Return immediately if no approximation could be computed.
+ if (neg_pinf_count > 1) {
+ return;
+ }
+
+ // In the following, strong closure will be definitely lost.
+ reset_strongly_closed();
+
+ // Exploit the lower approximation, if possible.
+ if (neg_pinf_count <= 1) {
+ // Compute quotient (if needed).
+ if (sc_denom != 1) {
+ // Before computing quotients, the denominator should be approximated
+ // towards zero. Since `sc_denom' is known to be positive, this amounts to
+ // rounding downwards, which is achieved as usual by rounding upwards
+ // `minus_sc_denom' and negating again the result.
+ PPL_DIRTY_TEMP(N, down_sc_denom);
+ assign_r(down_sc_denom, minus_sc_denom, ROUND_UP);
+ neg_assign_r(down_sc_denom, down_sc_denom, ROUND_UP);
+ div_assign_r(neg_sum, neg_sum, down_sc_denom, ROUND_UP);
+ }
+ // Add the lower bound constraint, if meaningful.
+ if (neg_pinf_count == 0) {
+ // Add the constraint `v >= -neg_sum', i.e., `-v <= neg_sum'.
+ PPL_DIRTY_TEMP(N, double_neg_sum);
+ mul_2exp_assign_r(double_neg_sum, neg_sum, 1, ROUND_UP);
+ matrix[n_var][n_var + 1] = double_neg_sum;
+ // Deduce constraints of the form `-v +/- u', where `u != v'.
+ deduce_minus_v_pm_u_bounds(var_id, w_id, sc_expr, sc_denom, neg_sum);
+ }
+ else
+ // Here `neg_pinf_count == 1'.
+ if (neg_pinf_index != var_id) {
+ const Coefficient& npi = sc_expr.coefficient(Variable(neg_pinf_index));
+ if (npi == sc_denom)
+ // Add the constraint `v - neg_pinf_index >= -neg_sum',
+ // i.e., `neg_pinf_index - v <= neg_sum'.
+ if (neg_pinf_index < var_id)
+ matrix[n_var][2*neg_pinf_index] = neg_sum;
+ else
+ matrix[2*neg_pinf_index + 1][n_var + 1] = neg_sum;
+ else
+ if (npi == minus_sc_denom) {
+ // Add the constraint `v + neg_pinf_index >= -neg_sum',
+ // i.e., `-neg_pinf_index - v <= neg_sum'.
+ if (neg_pinf_index < var_id)
+ matrix[n_var][2*neg_pinf_index + 1] = neg_sum;
+ else
+ matrix[2*neg_pinf_index][n_var + 1] = neg_sum;
+ }
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::generalized_affine_preimage(const Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)", "d == 0");
+
+ // Dimension-compatibility checks.
+ // The dimension of `expr' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type expr_space_dim = expr.space_dimension();
+ if (space_dim < expr_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
+ "e", expr);
+
+ // `var' should be one of the dimensions of the octagon.
+ const dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
+ var_id + 1);
+
+ // The relation symbol cannot be a strict relation symbol.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
+ "r is the disequality relation symbol");
+
+ if (relsym == EQUAL) {
+ // The relation symbol is "=":
+ // this is just an affine preimage computation.
+ affine_preimage(var, expr, denominator);
+ return;
+ }
+
+ // The image of an empty octagon is empty too.
+ strong_closure_assign();
+ if (marked_empty())
+ return;
+
+ // Check whether the preimage of this affine relation can be easily
+ // computed as the image of its inverse relation.
+ const Coefficient& expr_v = expr.coefficient(var);
+ if (expr_v != 0) {
+ const Relation_Symbol reversed_relsym = (relsym == LESS_OR_EQUAL)
+ ? GREATER_OR_EQUAL : LESS_OR_EQUAL;
+ const Linear_Expression inverse
+ = expr - (expr_v + denominator)*var;
+ PPL_DIRTY_TEMP_COEFFICIENT(inverse_denom);
+ neg_assign(inverse_denom, expr_v);
+ const Relation_Symbol inverse_relsym
+ = (sgn(denominator) == sgn(inverse_denom)) ? relsym : reversed_relsym;
+ generalized_affine_image(var, inverse_relsym, inverse, inverse_denom);
+ return;
+ }
+
+ // Here `var_coefficient == 0', so that the preimage cannot
+ // be easily computed by inverting the affine relation.
+ // Shrink the Octagonal_Shape by adding the constraint induced
+ // by the affine relation.
+ refine(var, relsym, expr, denominator);
+
+ // If the shrunk OS is empty, its preimage is empty too; ...
+ if (is_empty())
+ return;
+ // ... otherwise, since the relation was not invertible,
+ // we just forget all constraints on `var'.
+ forget_all_octagonal_constraints(var_id);
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::generalized_affine_preimage(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ // Dimension-compatibility checks.
+ // The dimension of `lhs' should not be greater than the dimension
+ // of `*this'.
+ dimension_type lhs_space_dim = lhs.space_dimension();
+ if (space_dim < lhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
+ "e1", lhs);
+
+ // The dimension of `rhs' should not be greater than the dimension
+ // of `*this'.
+ const dimension_type rhs_space_dim = rhs.space_dimension();
+ if (space_dim < rhs_space_dim)
+ throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
+ "e2", rhs);
+
+ // Strict relation symbols are not admitted for octagons.
+ if (relsym == LESS_THAN || relsym == GREATER_THAN)
+ throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
+ "r is a strict relation symbol");
+ // The relation symbol cannot be a disequality.
+ if (relsym == NOT_EQUAL)
+ throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
+ "r is the disequality relation symbol");
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty.
+ if (marked_empty())
+ return;
+
+ // Number of non-zero coefficients in `lhs': will be set to
+ // 0, 1, or 2, the latter value meaning any value greater than 1.
+ dimension_type t_lhs = 0;
+ // Index of the last non-zero coefficient in `lhs', if any.
+ dimension_type j_lhs = lhs.last_nonzero();
+
+ if (j_lhs != 0) {
+ ++t_lhs;
+ if (!lhs.all_zeroes(1, j_lhs))
+ ++t_lhs;
+ j_lhs--;
+ }
+
+ const Coefficient& b_lhs = lhs.inhomogeneous_term();
+
+ // If all variables have a zero coefficient, then `lhs' is a constant:
+ // in this case, preimage and image happen to be the same.
+ if (t_lhs == 0) {
+ generalized_affine_image(lhs, relsym, rhs);
+ return;
+ }
+
+ else if (t_lhs == 1) {
+ // Here `lhs == a_lhs * v + b_lhs'.
+ // Independently from the form of `rhs', we can exploit the
+ // method computing generalized affine preimages for a single variable.
+ Variable v(j_lhs);
+ // Compute a sign-corrected relation symbol.
+ const Coefficient& denom = lhs.coefficient(v);
+ Relation_Symbol new_relsym = relsym;
+ if (denom < 0) {
+ if (relsym == LESS_OR_EQUAL)
+ new_relsym = GREATER_OR_EQUAL;
+ else if (relsym == GREATER_OR_EQUAL)
+ new_relsym = LESS_OR_EQUAL;
+ }
+ Linear_Expression expr = rhs - b_lhs;
+ generalized_affine_preimage(v, new_relsym, expr, denom);
+ }
+
+ else {
+ // Here `lhs' is of the general form, having at least two variables.
+ // Compute the set of variables occurring in `lhs'.
+ std::vector<Variable> lhs_vars;
+ for (Linear_Expression::const_iterator i = lhs.begin(), i_end = lhs.end();
+ i != i_end; ++i)
+ lhs_vars.push_back(i.variable());
+
+ const dimension_type num_common_dims = std::min(lhs_space_dim, rhs_space_dim);
+ if (!lhs.have_a_common_variable(rhs, Variable(0), Variable(num_common_dims))) {
+ // `lhs' and `rhs' variables are disjoint.
+ // Constrain the left hand side expression so that it is related to
+ // the right hand side expression as dictated by `relsym'.
+ // TODO: if the following constraint is NOT an octagonal difference,
+ // it will be simply ignored. Should we compute approximations for it?
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(lhs <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(lhs == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(lhs >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+
+ // Any image of an empty octagon is empty.
+ if (is_empty())
+ return;
+ // Existentially quantify all variables in the lhs.
+ for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
+ dimension_type lhs_vars_i = lhs_vars[i].id();
+ forget_all_octagonal_constraints(lhs_vars_i);
+ }
+ }
+ else {
+ // Some variables in `lhs' also occur in `rhs'.
+
+ // More accurate computation that is worth doing only if
+ // the following TODO note is accurately dealt with.
+
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(space_dim);
+ add_space_dimensions_and_embed(1);
+ // Constrain the new dimension to be equal to `rhs'.
+ // NOTE: calling affine_image() instead of refine_no_check()
+ // ensures some approximation is tried even when the constraint
+ // is not an octagonal difference.
+ affine_image(new_var, lhs);
+ // Existentially quantify all variables in the lhs.
+ // NOTE: enforce strong closure for precision.
+ strong_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ for (dimension_type i = lhs_vars.size(); i-- > 0; ) {
+ dimension_type lhs_vars_i = lhs_vars[i].id();
+ forget_all_octagonal_constraints(lhs_vars_i);
+ }
+ // Constrain the new dimension so that it is related to
+ // the left hand side as dictated by `relsym'.
+ // Note: if `rhs == v + b_rhs' or `rhs == -v + b_rhs' or `rhs == b_rhs',
+ // one of the following constraints will be added, because they
+ // are octagonal differences.
+ // Else the following constraints are NOT octagonal differences,
+ // so the method refine_no_check() will ignore them.
+ switch (relsym) {
+ case LESS_OR_EQUAL:
+ refine_no_check(new_var <= rhs);
+ break;
+ case EQUAL:
+ refine_no_check(new_var == rhs);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_no_check(new_var >= rhs);
+ break;
+ default:
+ // We already dealt with the other cases.
+ PPL_UNREACHABLE;
+ break;
+ }
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(space_dim-1);
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::bounded_affine_preimage(const Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ // The denominator cannot be zero.
+ if (denominator == 0)
+ throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
+
+ // `var' should be one of the dimensions of the octagon.
+ const dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ var_id + 1);
+
+ // The dimension of `lb_expr' and `ub_expr' should not be
+ // greater than the dimension of `*this'.
+ const dimension_type lb_space_dim = lb_expr.space_dimension();
+ if (space_dim < lb_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "lb", lb_expr);
+ const dimension_type ub_space_dim = ub_expr.space_dimension();
+ if (space_dim < ub_space_dim)
+ throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
+ "ub", ub_expr);
+
+ strong_closure_assign();
+ // The image of an empty octagon is empty too.
+ if (marked_empty())
+ return;
+
+ if (ub_expr.coefficient(var) == 0) {
+ refine(var, LESS_OR_EQUAL, ub_expr, denominator);
+ generalized_affine_preimage(var, GREATER_OR_EQUAL,
+ lb_expr, denominator);
+ return;
+ }
+ if (lb_expr.coefficient(var) == 0) {
+ refine(var, GREATER_OR_EQUAL, lb_expr, denominator);
+ generalized_affine_preimage(var, LESS_OR_EQUAL,
+ ub_expr, denominator);
+ return;
+ }
+
+ const Coefficient& expr_v = lb_expr.coefficient(var);
+ // Here `var' occurs in `lb_expr' and `ub_expr'.
+ // To ease the computation, we add an additional dimension.
+ const Variable new_var(space_dim);
+ add_space_dimensions_and_embed(1);
+ const Linear_Expression lb_inverse
+ = lb_expr - (expr_v + denominator)*var;
+ PPL_DIRTY_TEMP_COEFFICIENT(inverse_denom);
+ neg_assign(inverse_denom, expr_v);
+ affine_image(new_var, lb_inverse, inverse_denom);
+ strong_closure_assign();
+ PPL_ASSERT(!marked_empty());
+ generalized_affine_preimage(var, LESS_OR_EQUAL,
+ ub_expr, denominator);
+ if (sgn(denominator) == sgn(inverse_denom))
+ refine_no_check(var >= new_var) ;
+ else
+ refine_no_check(var <= new_var);
+ // Remove the temporarily added dimension.
+ remove_higher_space_dimensions(space_dim-1);
+}
+
+template <typename T>
+Constraint_System
+Octagonal_Shape<T>::constraints() const {
+ const dimension_type space_dim = space_dimension();
+ Constraint_System cs;
+ cs.set_space_dimension(space_dim);
+
+ if (space_dim == 0) {
+ if (marked_empty())
+ cs = Constraint_System::zero_dim_empty();
+ return cs;
+ }
+
+ if (marked_empty()) {
+ cs.insert(Constraint::zero_dim_false());
+ return cs;
+ }
+
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+
+ row_iterator m_begin = matrix.row_begin();
+ row_iterator m_end = matrix.row_end();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(a);
+ PPL_DIRTY_TEMP_COEFFICIENT(b);
+
+ // Go through all the unary constraints in `matrix'.
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
+ const dimension_type i = i_iter.index();
+ const Variable x(i/2);
+ const N& c_i_ii = (*i_iter)[i + 1];
+ ++i_iter;
+ const N& c_ii_i = (*i_iter)[i];
+ ++i_iter;
+ // Go through unary constraints.
+ if (is_additive_inverse(c_i_ii, c_ii_i)) {
+ // We have a unary equality constraint.
+ numer_denom(c_ii_i, b, a);
+ a *= 2;
+ cs.insert(a*x == b);
+ }
+ else {
+ // We have 0, 1 or 2 inequality constraints.
+ if (!is_plus_infinity(c_i_ii)) {
+ numer_denom(c_i_ii, b, a);
+ a *= 2;
+ cs.insert(-a*x <= b);
+ }
+ if (!is_plus_infinity(c_ii_i)) {
+ numer_denom(c_ii_i, b, a);
+ a *= 2;
+ cs.insert(a*x <= b);
+ }
+ }
+ }
+ // Go through all the binary constraints in `matrix'.
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
+ const dimension_type i = i_iter.index();
+ row_reference r_i = *i_iter;
+ ++i_iter;
+ row_reference r_ii = *i_iter;
+ ++i_iter;
+ const Variable y(i/2);
+ for (dimension_type j = 0; j < i; j += 2) {
+ const N& c_i_j = r_i[j];
+ const N& c_ii_jj = r_ii[j + 1];
+ const Variable x(j/2);
+ if (is_additive_inverse(c_ii_jj, c_i_j)) {
+ // We have an equality constraint of the form a*x - a*y = b.
+ numer_denom(c_i_j, b, a);
+ cs.insert(a*x - a*y == b);
+ }
+ else {
+ // We have 0, 1 or 2 inequality constraints.
+ if (!is_plus_infinity(c_i_j)) {
+ numer_denom(c_i_j, b, a);
+ cs.insert(a*x - a*y <= b);
+ }
+ if (!is_plus_infinity(c_ii_jj)) {
+ numer_denom(c_ii_jj, b, a);
+ cs.insert(a*y - a*x <= b);
+ }
+ }
+
+ const N& c_ii_j = r_ii[j];
+ const N& c_i_jj = r_i[j + 1];
+ if (is_additive_inverse(c_i_jj, c_ii_j)) {
+ // We have an equality constraint of the form a*x + a*y = b.
+ numer_denom(c_ii_j, b, a);
+ cs.insert(a*x + a*y == b);
+ }
+ else {
+ // We have 0, 1 or 2 inequality constraints.
+ if (!is_plus_infinity(c_i_jj)) {
+ numer_denom(c_i_jj, b, a);
+ cs.insert(-a*x - a*y <= b);
+ }
+ if (!is_plus_infinity(c_ii_j)) {
+ numer_denom(c_ii_j, b, a);
+ cs.insert(a*x + a*y <= b);
+ }
+ }
+ }
+ }
+ return cs;
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::expand_space_dimension(Variable var, dimension_type m) {
+ // `var' should be one of the dimensions of the vector space.
+ const dimension_type var_id = var.id();
+ if (var_id + 1 > space_dim)
+ throw_dimension_incompatible("expand_space_dimension(v, m)", var_id + 1);
+
+ // The space dimension of the resulting octagon should not
+ // overflow the maximum allowed space dimension.
+ if (m > max_space_dimension() - space_dim)
+ throw_invalid_argument("expand_dimension(v, m)",
+ "adding m new space dimensions exceeds "
+ "the maximum allowed space dimension");
+
+ // Nothing to do, if no dimensions must be added.
+ if (m == 0)
+ return;
+
+ // Keep track of the dimension before adding the new ones.
+ const dimension_type old_num_rows = matrix.num_rows();
+
+ // Add the required new dimensions.
+ add_space_dimensions_and_embed(m);
+
+ // For each constraints involving variable `var', we add a
+ // similar constraint with the new variable substituted for
+ // variable `var'.
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+ const dimension_type n_var = 2*var_id;
+ Row_iterator v_iter = m_begin + n_var;
+ Row_reference m_v = *v_iter;
+ Row_reference m_cv = *(v_iter + 1);
+
+ for (row_iterator i_iter = m_begin + old_num_rows; i_iter != m_end;
+ i_iter += 2) {
+ row_reference m_i = *i_iter;
+ row_reference m_ci = *(i_iter + 1);
+ const dimension_type i = i_iter.index();
+ const dimension_type ci = i + 1;
+ m_i[ci] = m_v[n_var + 1];
+ m_ci[i] = m_cv[n_var];
+ for (dimension_type j = 0; j < n_var; ++j) {
+ m_i[j] = m_v[j];
+ m_ci[j] = m_cv[j];
+ }
+ for (dimension_type j = n_var + 2; j < old_num_rows; ++j) {
+ row_iterator j_iter = m_begin + j;
+ row_reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
+ m_i[j] = m_cj[n_var + 1];
+ m_ci[j] = m_cj[n_var];
+ }
+ }
+ // In general, adding a constraint does not preserve the strong closure
+ // of the octagon.
+ if (marked_strongly_closed())
+ reset_strongly_closed();
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
+ Variable dest) {
+ // `dest' should be one of the dimensions of the octagon.
+ if (dest.space_dimension() > space_dim)
+ throw_dimension_incompatible("fold_space_dimensions(vs, v)", "v", dest);
+
+ // The folding of no dimensions is a no-op.
+ if (vars.empty())
+ return;
+
+ // All variables in `vars' should be dimensions of the octagon.
+ if (vars.space_dimension() > space_dim)
+ throw_dimension_incompatible("fold_space_dimensions(vs, v)",
+ vars.space_dimension());
+
+ // Moreover, `dest.id()' should not occur in `vars'.
+ if (vars.find(dest.id()) != vars.end())
+ throw_invalid_argument("fold_space_dimensions(vs, v)",
+ "v should not occur in vs");
+
+ // Recompute the elements of the row and the column corresponding
+ // to variable `dest' by taking the join of their value with the
+ // value of the corresponding elements in the row and column of the
+ // variable `vars'.
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+
+ const row_iterator m_begin = matrix.row_begin();
+
+ strong_closure_assign();
+ const dimension_type n_rows = matrix.num_rows();
+ const dimension_type n_dest = 2*dest.id();
+ row_iterator v_iter = m_begin + n_dest;
+ row_reference m_v = *v_iter;
+ row_reference m_cv = *(v_iter + 1);
+ for (Variables_Set::const_iterator i = vars.begin(),
+ vs_end = vars.end(); i != vs_end; ++i) {
+ const dimension_type tbf_id = *i;
+ const dimension_type tbf_var = 2*tbf_id;
+ row_iterator tbf_iter = m_begin + tbf_var;
+ row_reference m_tbf = *tbf_iter;
+ row_reference m_ctbf = *(tbf_iter + 1);
+ max_assign(m_v[n_dest + 1], m_tbf[tbf_var + 1]);
+ max_assign(m_cv[n_dest], m_ctbf[tbf_var]);
+
+ const dimension_type min_id = std::min(n_dest, tbf_var);
+ const dimension_type max_id = std::max(n_dest, tbf_var);
+
+ using namespace Implementation::Octagonal_Shapes;
+ for (dimension_type j = 0; j < min_id; ++j) {
+ const dimension_type cj = coherent_index(j);
+ max_assign(m_v[j], m_tbf[j]);
+ max_assign(m_cv[j], m_ctbf[j]);
+ max_assign(m_cv[cj], m_ctbf[cj]);
+ max_assign(m_v[cj], m_tbf[cj]);
+ }
+ for (dimension_type j = min_id + 2; j < max_id; ++j) {
+ const dimension_type cj = coherent_index(j);
+ row_iterator j_iter = m_begin + j;
+ row_reference m_j = *j_iter;
+ row_reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
+ if (n_dest == min_id) {
+ max_assign(m_cj[n_dest + 1], m_tbf[j]);
+ max_assign(m_cj[n_dest], m_ctbf[j]);
+ max_assign(m_j[n_dest], m_ctbf[cj]);
+ max_assign(m_j[n_dest + 1], m_tbf[cj]);
+ }
+ else {
+ max_assign(m_v[j], m_cj[tbf_var + 1]);
+ max_assign(m_cv[j], m_cj[tbf_var]);
+ max_assign(m_cv[cj], m_j[tbf_var]);
+ max_assign(m_v[cj], m_j[tbf_var + 1]);
+ }
+ }
+ for (dimension_type j = max_id + 2; j < n_rows; ++j) {
+ row_iterator j_iter = m_begin + j;
+ row_reference m_j = *j_iter;
+ row_reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
+ max_assign(m_cj[n_dest + 1], m_cj[tbf_var + 1]);
+ max_assign(m_cj[n_dest], m_cj[tbf_var]);
+ max_assign(m_j[n_dest], m_j[tbf_var]);
+ max_assign(m_j[n_dest + 1], m_j[tbf_var + 1]);
+ }
+ }
+ remove_space_dimensions(vars);
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::upper_bound_assign_if_exact(const Octagonal_Shape& y) {
+ // FIXME, CHECKME: what about inexact computations?
+
+ // Declare a const reference to *this (to avoid accidental modifications).
+ const Octagonal_Shape& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+
+ if (x_space_dim != y.space_dimension())
+ throw_dimension_incompatible("upper_bound_assign_if_exact(y)", y);
+
+ // The zero-dim case is trivial.
+ if (x_space_dim == 0) {
+ upper_bound_assign(y);
+ return true;
+ }
+ // If `x' or `y' is (known to be) empty, the upper bound is exact.
+ if (x.marked_empty()) {
+ *this = y;
+ return true;
+ }
+ else if (y.is_empty())
+ return true;
+ else if (x.is_empty()) {
+ *this = y;
+ return true;
+ }
+
+ // Here both `x' and `y' are known to be non-empty.
+ PPL_ASSERT(x.marked_strongly_closed());
+ PPL_ASSERT(y.marked_strongly_closed());
+ // Pre-compute the upper bound of `x' and `y'.
+ Octagonal_Shape<T> ub(x);
+ ub.upper_bound_assign(y);
+
+ // Compute redundancy information for x and y.
+ // TODO: provide a nicer data structure for redundancy.
+ std::vector<Bit_Row> x_non_red;
+ x.non_redundant_matrix_entries(x_non_red);
+ std::vector<Bit_Row> y_non_red;
+ y.non_redundant_matrix_entries(y_non_red);
+
+ PPL_DIRTY_TEMP(N, lhs);
+ PPL_DIRTY_TEMP(N, lhs_copy);
+ PPL_DIRTY_TEMP(N, rhs);
+ PPL_DIRTY_TEMP(N, temp_zero);
+ assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
+
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+ const dimension_type n_rows = x.matrix.num_rows();
+ const row_iterator x_m_begin = x.matrix.row_begin();
+ const row_iterator y_m_begin = y.matrix.row_begin();
+ const row_iterator ub_m_begin = ub.matrix.row_begin();
+
+ for (dimension_type i = n_rows; i-- > 0; ) {
+ const Bit_Row& x_non_red_i = x_non_red[i];
+ using namespace Implementation::Octagonal_Shapes;
+ const dimension_type ci = coherent_index(i);
+ const dimension_type row_size_i = OR_Matrix<N>::row_size(i);
+ row_reference x_i = *(x_m_begin + i);
+ row_reference y_i = *(y_m_begin + i);
+ row_reference ub_i = *(ub_m_begin + i);
+ const N& ub_i_ci = ub_i[ci];
+ for (dimension_type j = row_size_i; j-- > 0; ) {
+ // Check redundancy of x_i_j.
+ if (!x_non_red_i[j])
+ continue;
+ const N& x_i_j = x_i[j];
+ // Check 1st condition in BHZ09 theorem.
+ if (x_i_j >= y_i[j])
+ continue;
+ const dimension_type cj = coherent_index(j);
+ const dimension_type row_size_cj = OR_Matrix<N>::row_size(cj);
+ row_reference ub_cj = *(ub_m_begin + cj);
+ const N& ub_cj_j = ub_cj[j];
+ for (dimension_type k = 0; k < n_rows; ++k) {
+ const Bit_Row& y_non_red_k = y_non_red[k];
+ const dimension_type ck = coherent_index(k);
+ const dimension_type row_size_k = OR_Matrix<N>::row_size(k);
+ row_reference x_k = *(x_m_begin + k);
+ row_reference y_k = *(y_m_begin + k);
+ row_reference ub_k = *(ub_m_begin + k);
+ const N& ub_k_ck = ub_k[ck];
+ // Be careful: for each index h, the diagonal element m[h][h]
+ // is (by convention) +infty in our implementation; however,
+ // BHZ09 theorem assumes that it is equal to 0.
+ const N& ub_k_j
+ = (k == j)
+ ? temp_zero
+ : ((j < row_size_k) ? ub_k[j] : ub_cj[ck]);
+ const N& ub_i_ck
+ = (i == ck)
+ ? temp_zero
+ : ((ck < row_size_i) ? ub_i[ck] : ub_k[ci]);
+
+ for (dimension_type ell = row_size_k; ell-- > 0; ) {
+ // Check redundancy of y_k_ell.
+ if (!y_non_red_k[ell])
+ continue;
+ const N& y_k_ell = y_k[ell];
+ // Check 2nd condition in BHZ09 theorem.
+ if (y_k_ell >= x_k[ell])
+ continue;
+ const dimension_type cell = coherent_index(ell);
+ row_reference ub_cell = *(ub_m_begin + cell);
+ const N& ub_i_ell
+ = (i == ell)
+ ? temp_zero
+ : ((ell < row_size_i) ? ub_i[ell] : ub_cell[ci]);
+ const N& ub_cj_ell
+ = (cj == ell)
+ ? temp_zero
+ : ((ell < row_size_cj) ? ub_cj[ell] : ub_cell[j]);
+ // Check 3rd condition in BHZ09 theorem.
+ add_assign_r(lhs, x_i_j, y_k_ell, ROUND_UP);
+ add_assign_r(rhs, ub_i_ell, ub_k_j, ROUND_UP);
+ if (lhs >= rhs)
+ continue;
+ // Check 4th condition in BHZ09 theorem.
+ add_assign_r(rhs, ub_i_ck, ub_cj_ell, ROUND_UP);
+ if (lhs >= rhs)
+ continue;
+ // Check 5th condition in BHZ09 theorem.
+ assign_r(lhs_copy, lhs, ROUND_NOT_NEEDED);
+ add_assign_r(lhs, lhs_copy, x_i_j, ROUND_UP);
+ add_assign_r(rhs, ub_i_ell, ub_i_ck, ROUND_UP);
+ add_assign_r(rhs, rhs, ub_cj_j, ROUND_UP);
+ if (lhs >= rhs)
+ continue;
+ // Check 6th condition in BHZ09 theorem.
+ add_assign_r(rhs, ub_k_j, ub_cj_ell, ROUND_UP);
+ add_assign_r(rhs, rhs, ub_i_ci, ROUND_UP);
+ if (lhs >= rhs)
+ continue;
+ // Check 7th condition of BHZ09 theorem.
+ add_assign_r(lhs, lhs_copy, y_k_ell, ROUND_UP);
+ add_assign_r(rhs, ub_i_ell, ub_cj_ell, ROUND_UP);
+ add_assign_r(rhs, rhs, ub_k_ck, ROUND_UP);
+ if (lhs >= rhs)
+ continue;
+ // Check 8th (last) condition in BHZ09 theorem.
+ add_assign_r(rhs, ub_k_j, ub_i_ck, ROUND_UP);
+ add_assign_r(rhs, rhs, ub_cell[ell], ROUND_UP);
+ if (lhs < rhs)
+ // All 8 conditions are satisfied:
+ // upper bound is not exact.
+ return false;
+ }
+ }
+ }
+ }
+
+ // The upper bound of x and y is indeed exact.
+ m_swap(ub);
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>
+::integer_upper_bound_assign_if_exact(const Octagonal_Shape& y) {
+ PPL_COMPILE_TIME_CHECK(std::numeric_limits<T>::is_integer,
+ "Octagonal_Shape<T>::"
+ "integer_upper_bound_assign_if_exact(y):"
+ " T in not an integer datatype.");
+ // Declare a const reference to *this (to avoid accidental modifications).
+ const Octagonal_Shape& x = *this;
+ const dimension_type x_space_dim = x.space_dimension();
+
+ if (x_space_dim != y.space_dimension())
+ throw_dimension_incompatible("integer_upper_bound_assign_if_exact(y)", y);
+
+ // The zero-dim case is trivial.
+ if (x_space_dim == 0) {
+ upper_bound_assign(y);
+ return true;
+ }
+
+ // If `x' or `y' is (known to) contain no integral point,
+ // then the integer upper bound can be computed exactly by tight closure.
+ if (x.marked_empty()) {
+ *this = y;
+ tight_closure_assign();
+ return true;
+ }
+ else if (y.marked_empty()) {
+ tight_closure_assign();
+ return true;
+ }
+ else if (x.is_empty() || x.tight_coherence_would_make_empty()) {
+ *this = y;
+ tight_closure_assign();
+ return true;
+ }
+ else if (y.is_empty() || y.tight_coherence_would_make_empty()) {
+ tight_closure_assign();
+ return true;
+ }
+
+ // Here both `x' and `y' are known to be non-empty (and Z-consistent).
+ PPL_ASSERT(x.marked_strongly_closed());
+ PPL_ASSERT(y.marked_strongly_closed());
+ // Pre-compute the integer upper bound of `x' and `y':
+ // have to take copies, since tight closure might modify the rational shape.
+ Octagonal_Shape<T> tx(x);
+ tx.tight_closure_assign();
+ Octagonal_Shape<T> ty(y);
+ ty.tight_closure_assign();
+ Octagonal_Shape<T> ub(tx);
+ ub.upper_bound_assign(ty);
+
+ // Compute redundancy information for tx and ty.
+ // TODO: provide a nicer data structure for redundancy.
+ // NOTE: there is no need to identify all redundancies, since this is
+ // an optimization; hence we reuse the strong-reduction helper methods.
+ std::vector<Bit_Row> tx_non_red;
+ tx.non_redundant_matrix_entries(tx_non_red);
+ std::vector<Bit_Row> ty_non_red;
+ ty.non_redundant_matrix_entries(ty_non_red);
+
+ PPL_DIRTY_TEMP(N, lhs_i_j);
+ PPL_DIRTY_TEMP(N, lhs_k_ell);
+ PPL_DIRTY_TEMP(N, lhs);
+ PPL_DIRTY_TEMP(N, lhs_copy);
+ PPL_DIRTY_TEMP(N, rhs);
+ PPL_DIRTY_TEMP(N, temp_zero);
+ assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(N, temp_one);
+ assign_r(temp_one, 1, ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(N, temp_two);
+ assign_r(temp_two, 2, ROUND_NOT_NEEDED);
+
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+ const dimension_type n_rows = tx.matrix.num_rows();
+ const row_iterator tx_m_begin = tx.matrix.row_begin();
+ const row_iterator ty_m_begin = ty.matrix.row_begin();
+ const row_iterator ub_m_begin = ub.matrix.row_begin();
+
+ for (dimension_type i = n_rows; i-- > 0; ) {
+ const Bit_Row& tx_non_red_i = tx_non_red[i];
+ using namespace Implementation::Octagonal_Shapes;
+ const dimension_type ci = coherent_index(i);
+ const dimension_type row_size_i = OR_Matrix<N>::row_size(i);
+ row_reference tx_i = *(tx_m_begin + i);
+ row_reference ty_i = *(ty_m_begin + i);
+ row_reference ub_i = *(ub_m_begin + i);
+ const N& ub_i_ci = ub_i[ci];
+ for (dimension_type j = row_size_i; j-- > 0; ) {
+ // Check redundancy of tx_i_j.
+ if (!tx_non_red_i[j])
+ continue;
+ const N& tx_i_j = tx_i[j];
+ const dimension_type cj = coherent_index(j);
+ const N& eps_i_j = (i == cj) ? temp_two : temp_one;
+ // Check condition 1a in BHZ09 Theorem 6.8.
+ add_assign_r(lhs_i_j, tx_i_j, eps_i_j, ROUND_NOT_NEEDED);
+ if (lhs_i_j > ty_i[j])
+ continue;
+ const dimension_type row_size_cj = OR_Matrix<N>::row_size(cj);
+ row_reference ub_cj = *(ub_m_begin + cj);
+ const N& ub_cj_j = ub_cj[j];
+ for (dimension_type k = 0; k < n_rows; ++k) {
+ const Bit_Row& ty_non_red_k = ty_non_red[k];
+ const dimension_type ck = coherent_index(k);
+ const dimension_type row_size_k = OR_Matrix<N>::row_size(k);
+ row_reference tx_k = *(tx_m_begin + k);
+ row_reference ty_k = *(ty_m_begin + k);
+ row_reference ub_k = *(ub_m_begin + k);
+ const N& ub_k_ck = ub_k[ck];
+ // Be careful: for each index h, the diagonal element m[h][h]
+ // is (by convention) +infty in our implementation; however,
+ // BHZ09 theorem assumes that it is equal to 0.
+ const N& ub_k_j
+ = (k == j)
+ ? temp_zero
+ : ((j < row_size_k) ? ub_k[j] : ub_cj[ck]);
+ const N& ub_i_ck
+ = (i == ck)
+ ? temp_zero
+ : ((ck < row_size_i) ? ub_i[ck] : ub_k[ci]);
+
+ for (dimension_type ell = row_size_k; ell-- > 0; ) {
+ // Check redundancy of y_k_ell.
+ if (!ty_non_red_k[ell])
+ continue;
+ const N& ty_k_ell = ty_k[ell];
+ const dimension_type cell = coherent_index(ell);
+ const N& eps_k_ell = (k == cell) ? temp_two : temp_one;
+ // Check condition 1b in BHZ09 Theorem 6.8.
+ add_assign_r(lhs_k_ell, ty_k_ell, eps_k_ell, ROUND_NOT_NEEDED);
+ if (lhs_k_ell > tx_k[ell])
+ continue;
+ row_reference ub_cell = *(ub_m_begin + cell);
+ const N& ub_i_ell
+ = (i == ell)
+ ? temp_zero
+ : ((ell < row_size_i) ? ub_i[ell] : ub_cell[ci]);
+ const N& ub_cj_ell
+ = (cj == ell)
+ ? temp_zero
+ : ((ell < row_size_cj) ? ub_cj[ell] : ub_cell[j]);
+ // Check condition 2a in BHZ09 Theorem 6.8.
+ add_assign_r(lhs, lhs_i_j, lhs_k_ell, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, ub_i_ell, ub_k_j, ROUND_NOT_NEEDED);
+ if (lhs > rhs)
+ continue;
+ // Check condition 2b in BHZ09 Theorem 6.8.
+ add_assign_r(rhs, ub_i_ck, ub_cj_ell, ROUND_NOT_NEEDED);
+ if (lhs > rhs)
+ continue;
+ // Check condition 3a in BHZ09 Theorem 6.8.
+ assign_r(lhs_copy, lhs, ROUND_NOT_NEEDED);
+ add_assign_r(lhs, lhs, lhs_i_j, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, ub_i_ell, ub_i_ck, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, rhs, ub_cj_j, ROUND_NOT_NEEDED);
+ if (lhs > rhs)
+ continue;
+ // Check condition 3b in BHZ09 Theorem 6.8.
+ add_assign_r(rhs, ub_k_j, ub_cj_ell, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, rhs, ub_i_ci, ROUND_NOT_NEEDED);
+ if (lhs > rhs)
+ continue;
+ // Check condition 4a in BHZ09 Theorem 6.8.
+ add_assign_r(lhs, lhs_copy, lhs_k_ell, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, ub_i_ell, ub_cj_ell, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, rhs, ub_k_ck, ROUND_NOT_NEEDED);
+ if (lhs > rhs)
+ continue;
+ // Check condition 4b in BHZ09 Theorem 6.8.
+ add_assign_r(rhs, ub_k_j, ub_i_ck, ROUND_NOT_NEEDED);
+ add_assign_r(rhs, rhs, ub_cell[ell], ROUND_NOT_NEEDED);
+ if (lhs <= rhs)
+ // All 8 conditions are satisfied:
+ // integer upper bound is not exact.
+ return false;
+ }
+ }
+ }
+ }
+
+ // The upper bound of x and y is indeed exact.
+ m_swap(ub);
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::drop_some_non_integer_points(Complexity_Class) {
+ if (std::numeric_limits<T>::is_integer)
+ return;
+
+ const dimension_type space_dim = space_dimension();
+ strong_closure_assign();
+ if (space_dim == 0 || marked_empty())
+ return;
+
+ for (typename OR_Matrix<N>::element_iterator i = matrix.element_begin(),
+ i_end = matrix.element_end(); i != i_end; ++i)
+ drop_some_non_integer_points_helper(*i);
+
+ // Unary constraints should have an even integer boundary.
+ PPL_DIRTY_TEMP(N, temp_one);
+ assign_r(temp_one, 1, ROUND_NOT_NEEDED);
+ for (dimension_type i = 0; i < 2*space_dim; i += 2) {
+ const dimension_type ci = i + 1;
+ N& mat_i_ci = matrix[i][ci];
+ if (!is_plus_infinity(mat_i_ci) && !is_even(mat_i_ci)) {
+ sub_assign_r(mat_i_ci, mat_i_ci, temp_one, ROUND_UP);
+ reset_strongly_closed();
+ }
+ N& mat_ci_i = matrix[ci][i];
+ if (!is_plus_infinity(mat_ci_i) && !is_even(mat_ci_i)) {
+ sub_assign_r(mat_ci_i, mat_ci_i, temp_one, ROUND_UP);
+ reset_strongly_closed();
+ }
+ }
+
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class) {
+ // Dimension-compatibility check.
+ const dimension_type min_space_dim = vars.space_dimension();
+ if (space_dimension() < min_space_dim)
+ throw_dimension_incompatible("drop_some_non_integer_points(vs, cmpl)",
+ min_space_dim);
+
+ if (std::numeric_limits<T>::is_integer || min_space_dim == 0)
+ return;
+
+ strong_closure_assign();
+ if (marked_empty())
+ return;
+
+ PPL_DIRTY_TEMP(N, temp_one);
+ assign_r(temp_one, 1, ROUND_NOT_NEEDED);
+
+ const Variables_Set::const_iterator v_begin = vars.begin();
+ const Variables_Set::const_iterator v_end = vars.end();
+ PPL_ASSERT(v_begin != v_end);
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
+ for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
+ const dimension_type i = 2 * (*v_i);
+ const dimension_type ci = i + 1;
+ row_reference m_i = matrix[i];
+ row_reference m_ci = matrix[ci];
+
+ // Unary constraints: should be even integers.
+ N& m_i_ci = m_i[ci];
+ if (!is_plus_infinity(m_i_ci)) {
+ drop_some_non_integer_points_helper(m_i_ci);
+ if (!is_even(m_i_ci)) {
+ sub_assign_r(m_i_ci, m_i_ci, temp_one, ROUND_UP);
+ reset_strongly_closed();
+ }
+ }
+ N& m_ci_i = m_ci[i];
+ if (!is_plus_infinity(m_ci_i)) {
+ drop_some_non_integer_points_helper(m_ci_i);
+ if (!is_even(m_ci_i)) {
+ sub_assign_r(m_ci_i, m_ci_i, temp_one, ROUND_UP);
+ reset_strongly_closed();
+ }
+ }
+
+ // Binary constraints (note: only consider j < i).
+ for (Variables_Set::const_iterator v_j = v_begin; v_j != v_i; ++v_j) {
+ const dimension_type j = 2 * (*v_j);
+ const dimension_type cj = j + 1;
+ drop_some_non_integer_points_helper(m_i[j]);
+ drop_some_non_integer_points_helper(m_i[cj]);
+ drop_some_non_integer_points_helper(m_ci[j]);
+ drop_some_non_integer_points_helper(m_ci[cj]);
+ }
+ }
+ PPL_ASSERT(OK());
+}
+
+template <typename T>
+template <typename U>
+void
+Octagonal_Shape<T>
+::export_interval_constraints(U& dest) const {
+ if (space_dim > dest.space_dimension())
+ throw std::invalid_argument(
+ "Octagonal_Shape<T>::export_interval_constraints");
+
+ strong_closure_assign();
+
+ if (marked_empty()) {
+ dest.set_empty();
+ return;
+ }
+
+ PPL_DIRTY_TEMP(N, lb);
+ PPL_DIRTY_TEMP(N, ub);
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ const dimension_type ii = 2*i;
+ const dimension_type cii = ii + 1;
+
+ // Set the upper bound.
+ const N& twice_ub = matrix[cii][ii];
+ if (!is_plus_infinity(twice_ub)) {
+ assign_r(ub, twice_ub, ROUND_NOT_NEEDED);
+ div_2exp_assign_r(ub, ub, 1, ROUND_UP);
+ // FIXME: passing a raw value may not be general enough.
+ if (!dest.restrict_upper(i, ub.raw_value()))
+ return;
+ }
+
+ // Set the lower bound.
+ const N& twice_lb = matrix[ii][cii];
+ if (!is_plus_infinity(twice_lb)) {
+ assign_r(lb, twice_lb, ROUND_NOT_NEEDED);
+ neg_assign_r(lb, lb, ROUND_NOT_NEEDED);
+ div_2exp_assign_r(lb, lb, 1, ROUND_DOWN);
+ // FIXME: passing a raw value may not be general enough.
+ if (!dest.restrict_lower(i, lb.raw_value()))
+ return;
+ }
+ }
+
+}
+
+/*! \relates Parma_Polyhedra_Library::Octagonal_Shape */
+template <typename T>
+std::ostream&
+IO_Operators::operator<<(std::ostream& s, const Octagonal_Shape<T>& oct) {
+ // Handle special cases first.
+ if (oct.marked_empty()) {
+ s << "false";
+ return s;
+ }
+ if (oct.is_universe()) {
+ s << "true";
+ return s;
+ }
+
+ typedef typename Octagonal_Shape<T>::coefficient_type N;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
+
+ // Records whether or not we still have to print the first constraint.
+ bool first = true;
+
+ row_iterator m_begin = oct.matrix.row_begin();
+ row_iterator m_end = oct.matrix.row_end();
+
+ // Temporaries.
+ PPL_DIRTY_TEMP(N, negation);
+ PPL_DIRTY_TEMP(N, half);
+ // Go through all the unary constraints.
+ // (Note: loop iterator is incremented in the loop body.)
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
+ const dimension_type i = i_iter.index();
+ const Variable v_i(i/2);
+ const N& c_i_ii = (*i_iter)[i + 1];
+ ++i_iter;
+ const N& c_ii_i = (*i_iter)[i];
+ ++i_iter;
+ // Check whether or not it is an equality constraint.
+ if (is_additive_inverse(c_i_ii, c_ii_i)) {
+ // It is an equality.
+ PPL_ASSERT(!is_plus_infinity(c_i_ii) && !is_plus_infinity(c_ii_i));
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ // If the value bound can NOT be divided by 2 exactly,
+ // then we output the constraint `2*v_i = bound'.
+ if (div_2exp_assign_r(half, c_ii_i, 1,
+ ROUND_UP | ROUND_STRICT_RELATION)
+ == V_EQ)
+ s << v_i << " = " << half;
+ else
+ s << "2*" << v_i << " = " << c_ii_i;
+ }
+ else {
+ // We will print unary non-strict inequalities, if any.
+ if (!is_plus_infinity(c_i_ii)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ neg_assign_r(negation, c_i_ii, ROUND_NOT_NEEDED);
+ // If the value bound can NOT be divided by 2 exactly,
+ // then we output the constraint `2*v_i >= negation'.
+ if (div_2exp_assign_r(half, negation, 1,
+ ROUND_UP | ROUND_STRICT_RELATION)
+ == V_EQ)
+ s << v_i << " >= " << half;
+ else
+ s << "2*" << v_i << " >= " << negation;
+ }
+ if (!is_plus_infinity(c_ii_i)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ // If the value bound can NOT be divided by 2 exactly,
+ // then we output the constraint `2*v_i <= bound'.
+ if (div_2exp_assign_r(half, c_ii_i, 1,
+ ROUND_UP | ROUND_STRICT_RELATION)
+ == V_EQ)
+ s << v_i << " <= " << half;
+ else
+ s << "2*" << v_i << " <= " << c_ii_i;
+ }
+ }
+ }
+
+ // Go through all the binary constraints.
+ // (Note: loop iterator is incremented in the loop body.)
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
+ const dimension_type i = i_iter.index();
+ const Variable v_i(i/2);
+ row_reference r_i = *i_iter;
+ ++i_iter;
+ row_reference r_ii = *i_iter;
+ ++i_iter;
+
+ for (dimension_type j = 0; j < i; j += 2) {
+ const Variable v_j(j/2);
+ // Print binary differences.
+ const N& c_ii_jj = r_ii[j + 1];
+ const N& c_i_j = r_i[j];
+ // Check whether or not it is an equality constraint.
+ if (is_additive_inverse(c_ii_jj, c_i_j)) {
+ // It is an equality.
+ PPL_ASSERT(!is_plus_infinity(c_i_j) && !is_plus_infinity(c_ii_jj));
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ if (sgn(c_i_j) >= 0)
+ s << v_j << " - " << v_i << " = " << c_i_j;
+ else
+ s << v_i << " - " << v_j << " = " << c_ii_jj;
+ }
+ else {
+ // We will print non-strict inequalities, if any.
+ if (!is_plus_infinity(c_i_j)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ if (sgn(c_i_j) >= 0)
+ s << v_j << " - " << v_i << " <= " << c_i_j;
+ else {
+ neg_assign_r(negation, c_i_j, ROUND_DOWN);
+ s << v_i << " - " << v_j << " >= " << negation;
+ }
+ }
+ if (!is_plus_infinity(c_ii_jj)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ if (sgn(c_ii_jj) >= 0)
+ s << v_i << " - " << v_j << " <= " << c_ii_jj;
+ else {
+ neg_assign_r(negation, c_ii_jj, ROUND_DOWN);
+ s << v_j << " - " << v_i << " >= " << negation;
+ }
+ }
+ }
+ // Print binary sums.
+ const N& c_i_jj = r_i[j + 1];
+ const N& c_ii_j = r_ii[j];
+ // Check whether or not it is an equality constraint.
+ if (is_additive_inverse(c_i_jj, c_ii_j)) {
+ // It is an equality.
+ PPL_ASSERT(!is_plus_infinity(c_i_jj) && !is_plus_infinity(c_ii_j));
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ s << v_j << " + " << v_i << " = " << c_ii_j;
+ }
+ else {
+ // We will print non-strict inequalities, if any.
+ if (!is_plus_infinity(c_i_jj)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ neg_assign_r(negation, c_i_jj, ROUND_DOWN);
+ s << v_j << " + " << v_i << " >= " << negation;
+ }
+ if (!is_plus_infinity(c_ii_j)) {
+ if (first)
+ first = false;
+ else
+ s << ", ";
+ s << v_j << " + " << v_i << " <= " << c_ii_j;
+ }
+ }
+ }
+ }
+ return s;
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::ascii_dump(std::ostream& s) const {
+ s << "space_dim "
+ << space_dim
+ << "\n";
+ status.ascii_dump(s);
+ s << "\n";
+ matrix.ascii_dump(s);
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(T, Octagonal_Shape<T>)
+
+template <typename T>
+bool
+Octagonal_Shape<T>::ascii_load(std::istream& s) {
+ std::string str;
+
+ if (!(s >> str) || str != "space_dim")
+ return false;
+
+ if (!(s >> space_dim))
+ return false;
+
+ if (!status.ascii_load(s))
+ return false;
+
+ if (!matrix.ascii_load(s))
+ return false;
+
+ PPL_ASSERT(OK());
+ return true;
+}
+
+template <typename T>
+memory_size_type
+Octagonal_Shape<T>::external_memory_in_bytes() const {
+ return matrix.external_memory_in_bytes();
+}
+
+template <typename T>
+bool
+Octagonal_Shape<T>::OK() const {
+ // Check whether the matrix is well-formed.
+ if (!matrix.OK())
+ return false;
+
+ // Check whether the status information is legal.
+ if (!status.OK())
+ return false;
+
+ // All empty octagons are OK.
+ if (marked_empty())
+ return true;
+
+ // 0-dim universe octagon is OK.
+ if (space_dim == 0)
+ return true;
+
+ // MINUS_INFINITY cannot occur at all.
+ for (typename OR_Matrix<N>::const_row_iterator i = matrix.row_begin(),
+ matrix_row_end = matrix.row_end(); i != matrix_row_end; ++i) {
+ typename OR_Matrix<N>::const_row_reference_type x_i = *i;
+ for (dimension_type j = i.row_size(); j-- > 0; )
+ if (is_minus_infinity(x_i[j])) {
+#ifndef NDEBUG
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ std::cerr << "Octagonal_Shape::"
+ << "matrix[" << i.index() << "][" << j << "] = "
+ << x_i[j] << "!"
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+
+ // On the main diagonal only PLUS_INFINITY can occur.
+ for (typename OR_Matrix<N>::const_row_iterator i = matrix.row_begin(),
+ m_end = matrix.row_end(); i != m_end; ++i) {
+ typename OR_Matrix<N>::const_row_reference_type r = *i;
+ const N& m_i_i = r[i.index()];
+ if (!is_plus_infinity(m_i_i)) {
+#ifndef NDEBUG
+ const dimension_type j = i.index();
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ std::cerr << "Octagonal_Shape::matrix[" << j << "][" << j << "] = "
+ << m_i_i << "! (+inf was expected.)\n";
+#endif
+ return false;
+ }
+ }
+
+ // The following tests might result in false alarms when using floating
+ // point coefficients: they are only meaningful if the coefficient type
+ // base is exact (since otherwise strong closure is approximated).
+ if (std::numeric_limits<coefficient_type_base>::is_exact) {
+
+ // Check whether the closure information is legal.
+ if (marked_strongly_closed()) {
+ Octagonal_Shape x = *this;
+ x.reset_strongly_closed();
+ x.strong_closure_assign();
+ if (x.matrix != matrix) {
+#ifndef NDEBUG
+ std::cerr << "Octagonal_Shape is marked as strongly closed "
+ << "but it is not!\n";
+#endif
+ return false;
+ }
+ }
+
+ // A closed octagon must be strong-coherent.
+ if (marked_strongly_closed())
+ if (!is_strong_coherent()) {
+#ifndef NDEBUG
+ std::cerr << "Octagonal_Shape is not strong-coherent!\n";
+#endif
+ return false;
+ }
+ }
+
+ // All checks passed.
+ return true;
+}
+
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::throw_dimension_incompatible(const char* method,
+ const Octagonal_Shape& y) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", y->space_dimension() == " << y.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::throw_dimension_incompatible(const char* method,
+ dimension_type required_dim) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", required dimension == " << required_dim << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::throw_dimension_incompatible(const char* method,
+ const Constraint& c) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", c->space_dimension == " << c.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::throw_dimension_incompatible(const char* method,
+ const Congruence& cg) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", cg->space_dimension == " << cg.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::throw_dimension_incompatible(const char* method,
+ const Generator& g) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", g->space_dimension == " << g.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::throw_constraint_incompatible(const char* method) {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "the constraint is incompatible.";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::throw_expression_too_complex(const char* method,
+ const Linear_Expression& le) {
+ using namespace IO_Operators;
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << le << " is too complex.";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>
+::throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", " << le_name << "->space_dimension() == "
+ << le.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+template <typename C>
+void
+Octagonal_Shape<T>
+::throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<C>& lf) const {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << "this->space_dimension() == " << space_dimension()
+ << ", " << lf_name << "->space_dimension() == "
+ << lf.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+}
+
+template <typename T>
+void
+Octagonal_Shape<T>::throw_invalid_argument(const char* method,
+ const char* reason) {
+ std::ostringstream s;
+ s << "PPL::Octagonal_Shape::" << method << ":\n"
+ << reason << ".";
+ throw std::invalid_argument(s.str());
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Octagonal_Shape_templates_hh)
diff --git a/src/Octagonal_Shape_types.hh b/src/Octagonal_Shape_types.hh
new file mode 100644
index 0000000..594433f
--- /dev/null
+++ b/src/Octagonal_Shape_types.hh
@@ -0,0 +1,25 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Octagonal_Shape_types_hh
+#define PPL_Octagonal_Shape_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class Octagonal_Shape;
+
+class Octagonal_Shape_Helper;
+
+}
+
+#endif // !defined(PPL_Octagonal_Shape_types_hh)
diff --git a/src/Og_Status.idefs.hh b/src/Og_Status.idefs.hh
deleted file mode 100644
index 007c3cb..0000000
--- a/src/Og_Status.idefs.hh
+++ /dev/null
@@ -1,112 +0,0 @@
-/* Octagonal_Shape<T>::Status class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Og_Status_idefs_hh
-#define PPL_Og_Status_idefs_hh 1
-
-#ifndef PPL_IN_Octagonal_Shape_CLASS
-#error "Do not include Og_Status.idefs.hh directly; use Octagonal_Shape.defs.hh instead"
-#endif
-
-//! A conjunctive assertion about a Octagonal_Shape<T> object.
-/*!
- The assertions supported are:
- - <EM>zero-dim universe</EM>: the polyhedron is the zero-dimensional
- vector space \f$\Rset^0 = \{\cdot\}\f$;
- - <EM>empty</EM>: the polyhedron is the empty set;
- - <EM>strongly closed</EM>: the Octagonal_Shape object is strongly
- closed, so that all the constraints are as tight as possible.
-
- Not all the conjunctions of these elementary assertions constitute
- a legal Status. In fact:
- - <EM>zero-dim universe</EM> excludes any other assertion;
- - <EM>empty</EM>: excludes any other assertion.
-*/
-class Status {
-public:
- //! By default Status is the <EM>zero-dim universe</EM> assertion.
- Status();
-
- //! \name Test, remove or add an individual assertion from the conjunction.
- //@{
- bool test_zero_dim_univ() const;
- void reset_zero_dim_univ();
- void set_zero_dim_univ();
-
- bool test_empty() const;
- void reset_empty();
- void set_empty();
-
- bool test_strongly_closed() const;
- void reset_strongly_closed();
- void set_strongly_closed();
- //@}
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- /*! \brief
- Writes to \p s an ASCII representation of the internal
- representation of \p *this.
- */
- void ascii_dump(std::ostream& s) const;
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
-private:
- //! Status is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bitmasks for the individual assertions.
- //@{
- static const flags_t ZERO_DIM_UNIV = 0U;
- static const flags_t EMPTY = 1U << 0;
- static const flags_t STRONGLY_CLOSED = 1U << 1;
- //@}
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! Construct from a bitmask.
- Status(flags_t mask);
-
- //! Check whether <EM>all</EM> bits in \p mask are set.
- bool test_all(flags_t mask) const;
-
- //! Check whether <EM>at least one</EM> bit in \p mask is set.
- bool test_any(flags_t mask) const;
-
- //! Set the bits in \p mask.
- void set(flags_t mask);
-
- //! Reset the bits in \p mask.
- void reset(flags_t mask);
-
-};
-
-#endif // !defined(PPL_Og_Status_idefs_hh)
diff --git a/src/Og_Status.inlines.hh b/src/Og_Status.inlines.hh
deleted file mode 100644
index 0fa705f..0000000
--- a/src/Og_Status.inlines.hh
+++ /dev/null
@@ -1,225 +0,0 @@
-/* Octagonal_Shape<T>::Status class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Og_Status_inlines_hh
-#define PPL_Og_Status_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Status::Status(flags_t mask)
- : flags(mask) {
-}
-
-template <typename T>
-inline
-Octagonal_Shape<T>::Status::Status()
- : flags(ZERO_DIM_UNIV) {
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::test_all(flags_t mask) const {
- return (flags & mask) == mask;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::test_any(flags_t mask) const {
- return (flags & mask) != 0;
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::set(flags_t mask) {
- flags |= mask;
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::reset(flags_t mask) {
- flags &= ~mask;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::test_zero_dim_univ() const {
- return flags == ZERO_DIM_UNIV;
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::reset_zero_dim_univ() {
- // This is a no-op if the current status is not zero-dim.
- if (flags == ZERO_DIM_UNIV)
- // In the zero-dim space, if it is not the universe it is empty.
- flags = EMPTY;
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::set_zero_dim_univ() {
- // Zero-dim universe is incompatible with anything else.
- flags = ZERO_DIM_UNIV;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::test_empty() const {
- return test_any(EMPTY);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::reset_empty() {
- reset(EMPTY);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::set_empty() {
- flags = EMPTY;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::test_strongly_closed() const {
- return test_any(STRONGLY_CLOSED);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::reset_strongly_closed() {
- reset(STRONGLY_CLOSED);
-}
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::set_strongly_closed() {
- set(STRONGLY_CLOSED);
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::OK() const {
- if (test_zero_dim_univ())
- // Zero-dim universe is OK.
- return true;
-
- if (test_empty()) {
- Status copy = *this;
- copy.reset_empty();
- if (copy.test_zero_dim_univ())
- return true;
- else {
-#ifndef NDEBUG
- std::cerr << "The empty flag is incompatible with any other one."
- << std::endl;
-#endif
- return false;
- }
- }
-
- // Any other case is OK.
- return true;
-}
-
-
-namespace Implementation {
-
-namespace Octagonal_Shapes {
-// These are the keywords that indicate the individual assertions.
-const std::string zero_dim_univ = "ZE";
-const std::string empty = "EM";
-const std::string strong_closed = "SC";
-const char yes = '+';
-const char no = '-';
-const char separator = ' ';
-
-/*! \relates Parma_Polyhedra_Library::Octagonal_Shape::Status
- Reads a keyword and its associated on/off flag from \p s.
- Returns <CODE>true</CODE> if the operation is successful,
- returns <CODE>false</CODE> otherwise.
- When successful, \p positive is set to <CODE>true</CODE> if the flag
- is on; it is set to <CODE>false</CODE> otherwise.
-*/
-inline bool
-get_field(std::istream& s, const std::string& keyword, bool& positive) {
- std::string str;
- if (!(s >> str)
- || (str[0] != yes && str[0] != no)
- || str.substr(1) != keyword)
- return false;
- positive = (str[0] == yes);
- return true;
-}
-
-} // namespace Octagonal_Shapes
-
-} // namespace Implementation
-
-template <typename T>
-inline void
-Octagonal_Shape<T>::Status::ascii_dump(std::ostream& s) const {
- using namespace Implementation::Octagonal_Shapes;
- s << (test_zero_dim_univ() ? yes : no) << zero_dim_univ
- << separator
- << (test_empty() ? yes : no) << empty
- << separator
- << separator
- << (test_strongly_closed() ? yes : no) << strong_closed
- << separator;
-}
-
-template <typename T>
-inline bool
-Octagonal_Shape<T>::Status::ascii_load(std::istream& s) {
- using namespace Implementation::Octagonal_Shapes;
- PPL_UNINITIALIZED(bool, positive);
-
- if (!get_field(s, zero_dim_univ, positive))
- return false;
- if (positive)
- set_zero_dim_univ();
-
- if (!get_field(s, empty, positive))
- return false;
- if (positive)
- set_empty();
-
- if (!get_field(s, strong_closed, positive))
- return false;
- if (positive)
- set_strongly_closed();
- else
- reset_strongly_closed();
-
- // Check invariants.
- PPL_ASSERT(OK());
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Og_Status_inlines_hh)
diff --git a/src/Og_Status_idefs.hh b/src/Og_Status_idefs.hh
new file mode 100644
index 0000000..c4bd280
--- /dev/null
+++ b/src/Og_Status_idefs.hh
@@ -0,0 +1,112 @@
+/* Octagonal_Shape<T>::Status class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Og_Status_idefs_hh
+#define PPL_Og_Status_idefs_hh 1
+
+#ifndef PPL_IN_Octagonal_Shape_CLASS
+#error "Do not include Og_Status_idefs.hh directly; use Octagonal_Shape_defs.hh instead"
+#endif
+
+//! A conjunctive assertion about a Octagonal_Shape<T> object.
+/*!
+ The assertions supported are:
+ - <EM>zero-dim universe</EM>: the polyhedron is the zero-dimensional
+ vector space \f$\Rset^0 = \{\cdot\}\f$;
+ - <EM>empty</EM>: the polyhedron is the empty set;
+ - <EM>strongly closed</EM>: the Octagonal_Shape object is strongly
+ closed, so that all the constraints are as tight as possible.
+
+ Not all the conjunctions of these elementary assertions constitute
+ a legal Status. In fact:
+ - <EM>zero-dim universe</EM> excludes any other assertion;
+ - <EM>empty</EM>: excludes any other assertion.
+*/
+class Status {
+public:
+ //! By default Status is the <EM>zero-dim universe</EM> assertion.
+ Status();
+
+ //! \name Test, remove or add an individual assertion from the conjunction.
+ //@{
+ bool test_zero_dim_univ() const;
+ void reset_zero_dim_univ();
+ void set_zero_dim_univ();
+
+ bool test_empty() const;
+ void reset_empty();
+ void set_empty();
+
+ bool test_strongly_closed() const;
+ void reset_strongly_closed();
+ void set_strongly_closed();
+ //@}
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ /*! \brief
+ Writes to \p s an ASCII representation of the internal
+ representation of \p *this.
+ */
+ void ascii_dump(std::ostream& s) const;
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+private:
+ //! Status is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bitmasks for the individual assertions.
+ //@{
+ static const flags_t ZERO_DIM_UNIV = 0U;
+ static const flags_t EMPTY = 1U << 0;
+ static const flags_t STRONGLY_CLOSED = 1U << 1;
+ //@}
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! Construct from a bitmask.
+ Status(flags_t mask);
+
+ //! Check whether <EM>all</EM> bits in \p mask are set.
+ bool test_all(flags_t mask) const;
+
+ //! Check whether <EM>at least one</EM> bit in \p mask is set.
+ bool test_any(flags_t mask) const;
+
+ //! Set the bits in \p mask.
+ void set(flags_t mask);
+
+ //! Reset the bits in \p mask.
+ void reset(flags_t mask);
+
+};
+
+#endif // !defined(PPL_Og_Status_idefs_hh)
diff --git a/src/Og_Status_inlines.hh b/src/Og_Status_inlines.hh
new file mode 100644
index 0000000..228f79f
--- /dev/null
+++ b/src/Og_Status_inlines.hh
@@ -0,0 +1,225 @@
+/* Octagonal_Shape<T>::Status class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Og_Status_inlines_hh
+#define PPL_Og_Status_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Status::Status(flags_t mask)
+ : flags(mask) {
+}
+
+template <typename T>
+inline
+Octagonal_Shape<T>::Status::Status()
+ : flags(ZERO_DIM_UNIV) {
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::test_all(flags_t mask) const {
+ return (flags & mask) == mask;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::test_any(flags_t mask) const {
+ return (flags & mask) != 0;
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::set(flags_t mask) {
+ flags |= mask;
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::reset(flags_t mask) {
+ flags &= ~mask;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::test_zero_dim_univ() const {
+ return flags == ZERO_DIM_UNIV;
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::reset_zero_dim_univ() {
+ // This is a no-op if the current status is not zero-dim.
+ if (flags == ZERO_DIM_UNIV)
+ // In the zero-dim space, if it is not the universe it is empty.
+ flags = EMPTY;
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::set_zero_dim_univ() {
+ // Zero-dim universe is incompatible with anything else.
+ flags = ZERO_DIM_UNIV;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::test_empty() const {
+ return test_any(EMPTY);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::reset_empty() {
+ reset(EMPTY);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::set_empty() {
+ flags = EMPTY;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::test_strongly_closed() const {
+ return test_any(STRONGLY_CLOSED);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::reset_strongly_closed() {
+ reset(STRONGLY_CLOSED);
+}
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::set_strongly_closed() {
+ set(STRONGLY_CLOSED);
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::OK() const {
+ if (test_zero_dim_univ())
+ // Zero-dim universe is OK.
+ return true;
+
+ if (test_empty()) {
+ Status copy = *this;
+ copy.reset_empty();
+ if (copy.test_zero_dim_univ())
+ return true;
+ else {
+#ifndef NDEBUG
+ std::cerr << "The empty flag is incompatible with any other one."
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+
+ // Any other case is OK.
+ return true;
+}
+
+
+namespace Implementation {
+
+namespace Octagonal_Shapes {
+// These are the keywords that indicate the individual assertions.
+const std::string zero_dim_univ = "ZE";
+const std::string empty = "EM";
+const std::string strong_closed = "SC";
+const char yes = '+';
+const char no = '-';
+const char separator = ' ';
+
+/*! \relates Parma_Polyhedra_Library::Octagonal_Shape::Status
+ Reads a keyword and its associated on/off flag from \p s.
+ Returns <CODE>true</CODE> if the operation is successful,
+ returns <CODE>false</CODE> otherwise.
+ When successful, \p positive is set to <CODE>true</CODE> if the flag
+ is on; it is set to <CODE>false</CODE> otherwise.
+*/
+inline bool
+get_field(std::istream& s, const std::string& keyword, bool& positive) {
+ std::string str;
+ if (!(s >> str)
+ || (str[0] != yes && str[0] != no)
+ || str.substr(1) != keyword)
+ return false;
+ positive = (str[0] == yes);
+ return true;
+}
+
+} // namespace Octagonal_Shapes
+
+} // namespace Implementation
+
+template <typename T>
+inline void
+Octagonal_Shape<T>::Status::ascii_dump(std::ostream& s) const {
+ using namespace Implementation::Octagonal_Shapes;
+ s << (test_zero_dim_univ() ? yes : no) << zero_dim_univ
+ << separator
+ << (test_empty() ? yes : no) << empty
+ << separator
+ << separator
+ << (test_strongly_closed() ? yes : no) << strong_closed
+ << separator;
+}
+
+template <typename T>
+inline bool
+Octagonal_Shape<T>::Status::ascii_load(std::istream& s) {
+ using namespace Implementation::Octagonal_Shapes;
+ PPL_UNINITIALIZED(bool, positive);
+
+ if (!get_field(s, zero_dim_univ, positive))
+ return false;
+ if (positive)
+ set_zero_dim_univ();
+
+ if (!get_field(s, empty, positive))
+ return false;
+ if (positive)
+ set_empty();
+
+ if (!get_field(s, strong_closed, positive))
+ return false;
+ if (positive)
+ set_strongly_closed();
+ else
+ reset_strongly_closed();
+
+ // Check invariants.
+ PPL_ASSERT(OK());
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Og_Status_inlines_hh)
diff --git a/src/Opposite_Floating_Point_Expression.defs.hh b/src/Opposite_Floating_Point_Expression.defs.hh
deleted file mode 100644
index cf4770e..0000000
--- a/src/Opposite_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,193 +0,0 @@
-/* Declarations for the Opposite_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Opposite_Floating_Point_Expression_defs_hh
-#define PPL_Opposite_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Opposite_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Opposite_Floating_Point_Expression */
-template<typename FP_Interval_Type, typename FP_Format>
-void swap(Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Opposite Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of opposite floating-point expressions
-
- Let \f$i + \sum_{v \in \cV}i_{v}v \f$ be an interval linear form and
- let \f$\adlf\f$ be a sound unary operator on linear forms such that:
-
- \f[
- \adlf
- \left(i + \sum_{v \in \cV}i_{v}v\right)
- =
- \left(\adifp i\right)
- + \sum_{v \in \cV}\left(\adifp i_{v} \right)v,
- \f]
-
- Given a floating point expression \f$\ominus e\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{\ominus e}{\rho^{\#}}{\rho^{\#}_l}\f$
- as follows:
- \f[
- \linexprenv{\ominus e}{\rho^{\#}}{\rho^{\#}_l}
- =
- \adlf
- \left(
- \linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}
- \right).
- \f]
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Opposite_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /* \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form FP_Linear_Form;
-
- /* \brief
- Alias for the std::map<dimension_type, FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /* \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /* \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /* \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with one parameter: builds the opposite floating point
- expression \f$\ominus\f$ \p op.
- */
- explicit Opposite_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const op);
-
- //! Destructor.
- ~Opposite_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Note that all variables occuring in the expression represented
- by \p operand MUST have an associated value in \p int_store.
- If this precondition is not met, calling the method
- causes an undefined behavior.
-
- See the class description for a detailed explanation of how \p result
- is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Opposite_Floating_Point_Expression& y);
-
-private:
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Opposite_Floating_Point_Expression(
- const Opposite_Floating_Point_Expression& y);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited assignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Opposite_Floating_Point_Expression& operator=(
- const Opposite_Floating_Point_Expression& y);
-
- //! Pointer to the operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* operand;
-
-}; // class Opposite_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Opposite_Floating_Point_Expression.inlines.hh"
-
-#endif // !defined(PPL_Opposite_Floating_Point_Expression_defs_hh)
diff --git a/src/Opposite_Floating_Point_Expression.inlines.hh b/src/Opposite_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 1e0eb37..0000000
--- a/src/Opposite_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,79 +0,0 @@
-/* Opposite_Floating_Point_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Opposite_Floating_Point_Expression_inlines_hh
-#define PPL_Opposite_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-Opposite_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const op)
- : operand(op)
-{
- assert(op != 0);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-~Opposite_Floating_Point_Expression() {
- delete operand;
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Opposite_Floating_Point_Expression& y) {
- using std::swap;
- swap(operand, y.operand);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline bool
-Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- if (!operand->linearize(int_store, lf_store, result))
- return false;
-
- result.negate();
- return true;
-}
-
-/*! \relates Opposite_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Opposite_Floating_Point_Expression_inlines_hh)
diff --git a/src/Opposite_Floating_Point_Expression.types.hh b/src/Opposite_Floating_Point_Expression.types.hh
deleted file mode 100644
index 5951a53..0000000
--- a/src/Opposite_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Opposite_Floating_Point_Expression_types_hh
-#define PPL_Opposite_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Opposite_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Opposite_Floating_Point_Expression_types_hh)
diff --git a/src/Opposite_Floating_Point_Expression_defs.hh b/src/Opposite_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..f853769
--- /dev/null
+++ b/src/Opposite_Floating_Point_Expression_defs.hh
@@ -0,0 +1,193 @@
+/* Declarations for the Opposite_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Opposite_Floating_Point_Expression_defs_hh
+#define PPL_Opposite_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Opposite_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Opposite_Floating_Point_Expression */
+template<typename FP_Interval_Type, typename FP_Format>
+void swap(Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Opposite Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of opposite floating-point expressions
+
+ Let \f$i + \sum_{v \in \cV}i_{v}v \f$ be an interval linear form and
+ let \f$\adlf\f$ be a sound unary operator on linear forms such that:
+
+ \f[
+ \adlf
+ \left(i + \sum_{v \in \cV}i_{v}v\right)
+ =
+ \left(\adifp i\right)
+ + \sum_{v \in \cV}\left(\adifp i_{v} \right)v,
+ \f]
+
+ Given a floating point expression \f$\ominus e\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{\ominus e}{\rho^{\#}}{\rho^{\#}_l}\f$
+ as follows:
+ \f[
+ \linexprenv{\ominus e}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \adlf
+ \left(
+ \linexprenv{e}{\rho^{\#}}{\rho^{\#}_l}
+ \right).
+ \f]
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Opposite_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with one parameter: builds the opposite floating point
+ expression \f$\ominus\f$ \p op.
+ */
+ explicit Opposite_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const op);
+
+ //! Destructor.
+ ~Opposite_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Note that all variables occuring in the expression represented
+ by \p operand MUST have an associated value in \p int_store.
+ If this precondition is not met, calling the method
+ causes an undefined behavior.
+
+ See the class description for a detailed explanation of how \p result
+ is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Opposite_Floating_Point_Expression& y);
+
+private:
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Opposite_Floating_Point_Expression(
+ const Opposite_Floating_Point_Expression& y);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited assignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Opposite_Floating_Point_Expression& operator=(
+ const Opposite_Floating_Point_Expression& y);
+
+ //! Pointer to the operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* operand;
+
+}; // class Opposite_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Opposite_Floating_Point_Expression_inlines.hh"
+
+#endif // !defined(PPL_Opposite_Floating_Point_Expression_defs_hh)
diff --git a/src/Opposite_Floating_Point_Expression_inlines.hh b/src/Opposite_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..2e62b56
--- /dev/null
+++ b/src/Opposite_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,79 @@
+/* Opposite_Floating_Point_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Opposite_Floating_Point_Expression_inlines_hh
+#define PPL_Opposite_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+Opposite_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const op)
+ : operand(op)
+{
+ assert(op != 0);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+~Opposite_Floating_Point_Expression() {
+ delete operand;
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Opposite_Floating_Point_Expression& y) {
+ using std::swap;
+ swap(operand, y.operand);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline bool
+Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ if (!operand->linearize(int_store, lf_store, result))
+ return false;
+
+ result.negate();
+ return true;
+}
+
+/*! \relates Opposite_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Opposite_Floating_Point_Expression_inlines_hh)
diff --git a/src/Opposite_Floating_Point_Expression_types.hh b/src/Opposite_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..fd8f3a4
--- /dev/null
+++ b/src/Opposite_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Opposite_Floating_Point_Expression_types_hh
+#define PPL_Opposite_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Opposite_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Opposite_Floating_Point_Expression_types_hh)
diff --git a/src/PIP_Problem.cc b/src/PIP_Problem.cc
index 69e00e2..e02c103 100644
--- a/src/PIP_Problem.cc
+++ b/src/PIP_Problem.cc
@@ -1,6 +1,6 @@
/* PIP_Problem class implementation: non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "PIP_Problem.defs.hh"
-#include "PIP_Tree.defs.hh"
+#include "PIP_Problem_defs.hh"
+#include "PIP_Tree_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -33,7 +33,7 @@ PPL::IO_Operators::operator<<(std::ostream& s, const PIP_Problem& pip) {
s << "Space dimension: " << pip.space_dimension();
s << "\nConstraints:";
for (PIP_Problem::const_iterator i = pip.constraints_begin(),
- i_end = pip.constraints_end(); i != i_end; ++i)
+ i_end = pip.constraints_end(); i != i_end; ++i)
s << "\n" << *i;
s << "\nProblem parameters: " << pip.parameter_space_dimensions();
if (pip.get_big_parameter_dimension() == not_a_dimension())
@@ -63,7 +63,7 @@ PPL::PIP_Problem::PIP_Problem(const dimension_type dim)
PPL_ASSERT(OK());
}
-PPL::PIP_Problem::PIP_Problem(const PIP_Problem &y)
+PPL::PIP_Problem::PIP_Problem(const PIP_Problem& y)
: external_space_dim(y.external_space_dim),
internal_space_dim(y.internal_space_dim),
status(y.status),
@@ -157,7 +157,8 @@ PPL::PIP_Problem::solve() const {
// Adjust inhomogeneous term if strict.
if (c.is_strict_inequality())
--(*itr);
- } else {
+ }
+ else {
// Adjust inhomogeneous term if strict.
if (c.is_strict_inequality())
itr = row.insert(0, -1);
@@ -176,7 +177,8 @@ PPL::PIP_Problem::solve() const {
= c.coefficient(Variable(*pi));
if (coeff_pi != 0)
itr = row.insert(itr, i, coeff_pi);
- } else
+ }
+ else
break;
}
}
@@ -191,8 +193,8 @@ PPL::PIP_Problem::solve() const {
last_row = x.initial_context[x.initial_context.num_rows()-2];
- for (Row::iterator
- i = last_row.begin(), i_end = last_row.end(); i != i_end; ++i)
+ for (Row::iterator i = last_row.begin(),
+ i_end = last_row.end(); i != i_end; ++i)
neg_assign(*i);
}
}
@@ -266,8 +268,8 @@ PPL::PIP_Problem::OK() const {
if (external_space_dim < internal_space_dim) {
#ifndef NDEBUG
cerr << "The internal space dimension of the PIP_Problem is "
- << "greater than its external space dimension."
- << endl;
+ << "greater than its external space dimension."
+ << endl;
ascii_dump(cerr);
#endif
return false;
@@ -280,7 +282,7 @@ PPL::PIP_Problem::OK() const {
#ifndef NDEBUG
cerr << "The space dimension of the PIP_Problem is smaller than "
<< "the space dimension of one of its constraints."
- << endl;
+ << endl;
ascii_dump(cerr);
#endif
return false;
@@ -294,7 +296,7 @@ PPL::PIP_Problem::OK() const {
&& strategy != CUTTING_STRATEGY_ALL) {
#ifndef NDEBUG
cerr << "Invalid value for the CUTTING_STRATEGY control parameter."
- << endl;
+ << endl;
ascii_dump(cerr);
#endif
return false;
@@ -385,7 +387,7 @@ PPL::PIP_Problem::ascii_dump(std::ostream& s) const {
s << "\ncontrol_parameters\n";
for (dimension_type i = 0; i < CONTROL_PARAMETER_NAME_SIZE; ++i) {
- Control_Parameter_Value value = control_parameters[i];
+ const Control_Parameter_Value value = control_parameters[i];
switch (value) {
case CUTTING_STRATEGY_FIRST:
s << "CUTTING_STRATEGY_FIRST";
@@ -413,12 +415,13 @@ PPL::PIP_Problem::ascii_dump(std::ostream& s) const {
s << "\ncurrent_solution: ";
if (current_solution == 0)
s << "BOTTOM\n";
- else if (const PIP_Decision_Node* dec = current_solution->as_decision()) {
+ else if (const PIP_Decision_Node* const dec
+ = current_solution->as_decision()) {
s << "DECISION\n";
dec->ascii_dump(s);
}
else {
- const PIP_Solution_Node* sol = current_solution->as_solution();
+ const PIP_Solution_Node* const sol = current_solution->as_solution();
PPL_ASSERT(sol != 0);
s << "SOLUTION\n";
sol->ascii_dump(s);
@@ -531,14 +534,14 @@ PPL::PIP_Problem::ascii_load(std::istream& s) {
if (str == "BOTTOM")
current_solution = 0;
else if (str == "DECISION") {
- PIP_Decision_Node* dec = new PIP_Decision_Node(0, 0, 0);
+ PIP_Decision_Node* const dec = new PIP_Decision_Node(0, 0, 0);
current_solution = dec;
if (!dec->ascii_load(s))
return false;
dec->set_owner(this);
}
else if (str == "SOLUTION") {
- PIP_Solution_Node* sol = new PIP_Solution_Node(0);
+ PIP_Solution_Node* const sol = new PIP_Solution_Node(0);
current_solution = sol;
if (!sol->ascii_load(s))
return false;
@@ -646,7 +649,7 @@ PPL::PIP_Problem::add_constraint(const Constraint& c) {
}
void
-PPL::PIP_Problem::add_constraints(const Constraint_System &cs) {
+PPL::PIP_Problem::add_constraints(const Constraint_System& cs) {
for (Constraint_System::const_iterator ci = cs.begin(),
ci_end = cs.end(); ci != ci_end; ++ci)
add_constraint(*ci);
@@ -703,7 +706,7 @@ PPL::PIP_Problem::external_memory_in_bytes() const {
// Adding the external memory for `input_cs'.
n += input_cs.capacity() * sizeof(Constraint);
for (const_iterator i = input_cs.begin(),
- i_end = input_cs.end(); i != i_end; ++i)
+ i_end = input_cs.end(); i != i_end; ++i)
n += (i->external_memory_in_bytes());
// FIXME: Adding the external memory for `parameters'.
n += parameters.size() * sizeof(dimension_type);
diff --git a/src/PIP_Problem.defs.hh b/src/PIP_Problem.defs.hh
deleted file mode 100644
index 75a9f72..0000000
--- a/src/PIP_Problem.defs.hh
+++ /dev/null
@@ -1,834 +0,0 @@
-/* PIP_Problem class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_PIP_Problem_defs_hh
-#define PPL_PIP_Problem_defs_hh 1
-
-#include "PIP_Problem.types.hh"
-#include "PIP_Tree.types.hh"
-#include "globals.types.hh"
-#include "Linear_Expression.defs.hh"
-#include "Constraint.defs.hh"
-#include "Constraint_System.types.hh"
-#include "Generator.defs.hh"
-#include "Variables_Set.defs.hh"
-#include <vector>
-#include <deque>
-#include <iosfwd>
-
-#include "Matrix.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::PIP_Problem */
-std::ostream&
-operator<<(std::ostream& s, const PIP_Problem& pip);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates PIP_Problem */
-void swap(PIP_Problem& x, PIP_Problem& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A Parametric Integer (linear) Programming problem.
-/*! \ingroup PPL_CXX_interface
- An object of this class encodes a parametric integer (linear)
- programming problem. The PIP problem is specified by providing:
- - the dimension of the vector space;
- - the subset of those dimensions of the vector space that are
- interpreted as integer parameters (the other space dimensions
- are interpreted as non-parameter integer variables);
- - a finite set of linear equality and (strict or non-strict)
- inequality constraints involving variables and/or parameters;
- these constraints are used to define:
- - the <EM>feasible region</EM>, if they involve one or more
- problem variable (and maybe some parameters);
- - the <EM>initial context</EM>, if they only involve the
- parameters;
- - optionally, the so-called <EM>big parameter</EM>,
- i.e., a problem parameter to be considered arbitrarily big.
-
- Note that all problem variables and problem parameters are assumed
- to take non-negative integer values, so that there is no need
- to specify non-negativity constraints.
-
- The class provides support for the (incremental) solution of the
- PIP problem based on variations of the revised simplex method and
- on Gomory cut generation techniques.
-
- The solution for a PIP problem is the lexicographic minimum of the
- integer points of the feasible region, expressed in terms of the
- parameters. As the problem to be solved only involves non-negative
- variables and parameters, the problem will always be either unfeasible
- or optimizable.
-
- As the feasibility and the solution value of a PIP problem depend on the
- values of the parameters, the solution is a binary decision tree,
- dividing the context parameter set into subsets.
- The tree nodes are of two kinds:
- - \e Decision nodes.
- These are internal tree nodes encoding one or more linear tests
- on the parameters; if all the tests are satisfied, then the solution
- is the node's \e true child; otherwise, the solution is the node's
- \e false child;
- - \e Solution nodes.
- These are leaf nodes in the tree, encoding the solution of the problem
- in the current context subset, where each variable is defined in terms
- of a linear expression of the parameters.
- Solution nodes also optionally embed a set of parameter constraints:
- if all these constraints are satisfied, the solution is described by
- the node, otherwise the problem has no solution.
-
- It may happen that a decision node has no \e false child. This means
- that there is no solution if at least one of the corresponding
- constraints is not satisfied. Decision nodes having two or more linear
- tests on the parameters cannot have a \e false child. Decision nodes
- always have a \e true child.
-
- Both kinds of tree nodes may also contain the definition of extra
- parameters which are artificially introduced by the solver to enforce
- an integral solution. Such artificial parameters are defined by
- the integer division of a linear expression on the parameters
- by an integer coefficient.
-
- By exploiting the incremental nature of the solver, it is possible
- to reuse part of the computational work already done when solving
- variants of a given PIP_Problem: currently, incremental resolution
- supports the addition of space dimensions, the addition of parameters
- and the addition of constraints.
-
- \par Example problem
- An example PIP problem can be defined the following:
- \code
- 3*j >= -2*i+8
- j <= 4*i - 4
- i <= n
- j <= m
- \endcode
- where \c i and \c j are the problem variables
- and \c n and \c m are the problem parameters.
- This problem can be optimized; the resulting solution tree may be
- represented as follows:
- \verbatim
- if 7*n >= 10 then
- if 7*m >= 12 then
- {i = 2 ; j = 2}
- else
- Parameter P = (m) div 2
- if 2*n + 3*m >= 8 then
- {i = -m - P + 4 ; j = m}
- else
- _|_
- else
- _|_
- \endverbatim
- The solution tree starts with a decision node depending on the
- context constraint <code>7*n >= 10</code>.
- If this constraint is satisfied by the values assigned to the
- problem parameters, then the (textually first) \c then branch is taken,
- reaching the \e true child of the root node (which in this case
- is another decision node); otherwise, the (textually last) \c else
- branch is taken, for which there is no corresponding \e false child.
- \par
- The \f$\perp\f$ notation, also called \e bottom, denotes the
- lexicographic minimum of an empty set of solutions,
- here meaning the corresponding subproblem is unfeasible.
- \par
- Notice that a tree node may introduce new (non-problem) parameters,
- as is the case for parameter \c P in the (textually first) \c else
- branch above. These \e artificial parameters are only meaningful
- inside the subtree where they are defined and are used to define
- the parametric values of the problem variables in solution nodes
- (e.g., the <CODE>{i,j}</CODE> vector in the textually third \c then branch).
-
- \par Context restriction
- The above solution is correct in an unrestricted initial context,
- meaning all possible values are allowed for the parameters. If we
- restrict the context with the following parameter inequalities:
- \code
- m >= n
- n >= 5
- \endcode
- then the resulting optimizing tree will be a simple solution node:
- \verbatim
- {i = 2 ; j = 2}
- \endverbatim
-
- \par Creating the PIP_Problem object
- The PIP_Problem object corresponding to the above example can be
- created as follows:
- \code
- Variable i(0);
- Variable j(1);
- Variable n(2);
- Variable m(3);
- Variables_Set params(n, m);
- Constraint_System cs;
- cs.insert(3*j >= -2*i+8);
- cs.insert(j <= 4*i - 4);
- cs.insert(j <= m);
- cs.insert(i <= n);
- PIP_Problem pip(cs.space_dimension(), cs.begin(), cs.end(), params);
- \endcode
- If you want to restrict the initial context, simply add the parameter
- constraints the same way as for normal constraints.
- \code
- cs.insert(m >= n);
- cs.insert(n >= 5);
- \endcode
-
- \par Solving the problem
- Once the PIP_Problem object has been created, you can start the
- resolution of the problem by calling the solve() method:
- \code
- PIP_Problem_Status status = pip.solve();
- \endcode
- where the returned \c status indicates if the problem has been optimized
- or if it is unfeasible for any possible configuration of the parameter
- values. The resolution process is also started if an attempt is made
- to get its solution, as follows:
- \code
- const PIP_Tree_Node* node = pip.solution();
- \endcode
- In this case, an unfeasible problem will result in an empty solution
- tree, i.e., assigning a null pointer to \c node.
-
- \par Printing the solution tree
- A previously computed solution tree may be printed as follows:
- \code
- pip.print_solution(std::cout);
- \endcode
- This will produce the following output (note: variables and parameters
- are printed according to the default output function; see
- <code>Variable::set_output_function</code>):
- \verbatim
- if 7*C >= 10 then
- if 7*D >= 12 then
- {2 ; 2}
- else
- Parameter E = (D) div 2
- if 2*C + 3*D >= 8 then
- {-D - E + 4 ; D}
- else
- _|_
- else
- _|_
- \endverbatim
-
- \par Spanning the solution tree
- A parameter assignment for a PIP problem binds each of the problem
- parameters to a non-negative integer value. After fixing a parameter
- assignment, the ``spanning'' of the PIP problem solution tree refers
- to the process whereby the solution tree is navigated, starting from
- the root node: the value of artificial parameters is computed according
- to the parameter assignment and the node's constraints are evaluated,
- thereby descending in either the true or the false subtree of decision
- nodes and eventually reaching a solution node or a bottom node.
- If a solution node is found, each of the problem variables is provided
- with a parametric expression, which can be evaluated to a fixed value
- using the given parameter assignment and the computed values for
- artificial parameters.
- \par
- The coding of the spanning process can be done as follows.
- First, the root of the PIP solution tree is retrieved:
- \code
- const PIP_Tree_Node* node = pip.solution();
- \endcode
- If \c node represents an unfeasible solution (i.e., \f$\perp\f$),
- its value will be \c 0. For a non-null tree node, the virtual methods
- \c PIP_Tree_Node::as_decision() and \c PIP_Tree_Node::as_solution()
- can be used to check whether the node is a decision or a solution node:
- \code
- const PIP_Solution_Node* sol = node->as_solution();
- if (sol != 0) {
- // The node is a solution node
- ...
- }
- else {
- // The node is a decision node
- const PIP_Decision_Node* dec = node->as_decision();
- ...
- }
- \endcode
- \par
- The true (resp., false) child node of a Decision Node may be accessed by
- using method \c PIP_Decision_Node::child_node(bool), passing \c true
- (resp., \c false) as the input argument.
-
- \par Artificial parameters
- A PIP_Tree_Node::Artificial_Parameter object represents the result
- of the integer division of a Linear_Expression (on the other
- parameters, including the previously-defined artificials)
- by an integer denominator (a Coefficient object).
- The dimensions of the artificial parameters (if any) in a tree node
- have consecutive indices starting from <code>dim+1</code>, where the value
- of \c dim is computed as follows:
- - for the tree root node, \c dim is the space dimension of the PIP_Problem;
- - for any other node of the tree, it is recursively obtained by adding
- the value of \c dim computed for the parent node to the number of
- artificial parameters defined in the parent node.
- \par
- Since the numbering of dimensions for artificial parameters follows
- the rule above, the addition of new problem variables and/or new problem
- parameters to an already solved PIP_Problem object (as done when
- incrementally solving a problem) will result in the systematic
- renumbering of all the existing artificial parameters.
-
- \par Node constraints
- All kind of tree nodes can contain context constraints.
- Decision nodes always contain at least one of them.
- The node's local constraint system can be obtained using method
- PIP_Tree_Node::constraints.
- These constraints only involve parameters, including both the problem
- parameters and the artificial parameters that have been defined
- in nodes occurring on the path from the root node to the current node.
- The meaning of these constraints is as follows:
- - On a decision node, if all tests in the constraints are true, then the
- solution is the \e true child; otherwise it is the \e false child.
- - On a solution node, if the (possibly empty) system of constraints
- evaluates to true for a given parameter assignment, then the solution
- is described by the node; otherwise the solution is \f$\perp\f$
- (i.e., the problem is unfeasible for that parameter assignment).
-
- \par Getting the optimal values for the variables
- After spanning the solution tree using the given parameter assignment,
- if a solution node has been reached, then it is possible to retrieve
- the parametric expression for each of the problem variables using
- method PIP_Solution_Node::parametric_values. The retrieved expression
- will be defined in terms of all the parameters (problem parameters
- and artificial parameters defined along the path).
-
- \par Solving maximization problems
- You can solve a lexicographic maximization problem by reformulating its
- constraints using variable substitution. Proceed the following steps:
- - Create a big parameter (see PIP_Problem::set_big_parameter_dimension),
- which we will call \f$M\f$.
- - Reformulate each of the maximization problem constraints by
- substituting each \f$x_i\f$ variable with an expression of the form
- \f$M-x'_i\f$, where the \f$x'_i\f$ variables are positive variables to
- be minimized.
- - Solve the lexicographic minimum for the \f$x'\f$ variable vector.
- - In the solution expressions, the values of the \f$x'\f$ variables will
- be expressed in the form: \f$x'_i = M-x_i\f$. To get back the value of
- the expression of each \f$x_i\f$ variable, just apply the
- formula: \f$x_i = M-x'_i\f$.
- \par
- Note that if the resulting expression of one of the \f$x'_i\f$ variables
- is not in the \f$x'_i = M-x_i\f$ form, this means that the
- sign-unrestricted problem is unbounded.
- \par
- You can choose to maximize only a subset of the variables while minimizing
- the other variables. In that case, just apply the variable substitution
- method on the variables you want to be maximized. The variable
- optimization priority will still be in lexicographic order.
-
- \par
- \b Example: consider you want to find the lexicographic maximum of the
- \f$(x,y)\f$ vector, under the constraints:
- \f[\left\{\begin{array}{l}
- y \geq 2x - 4\\
- y \leq -x + p
- \end{array}\right.\f]
- \par
- where \f$p\f$ is a parameter.
- \par
- After variable substitution, the constraints become:
- \f[\left\{\begin{array}{l}
- M - y \geq 2M - 2x - 4\\
- M - y \leq -M + x + p
- \end{array}\right.\f]
- \par
- The code for creating the corresponding problem object is the following:
- \code
- Variable x(0);
- Variable y(1);
- Variable p(2);
- Variable M(3);
- Variables_Set params(p, M);
- Constraint_System cs;
- cs.insert(M - y >= 2*M - 2*x - 4);
- cs.insert(M - y <= -M + x + p);
- PIP_Problem pip(cs.space_dimension(), cs.begin(), cs.end(), params);
- pip.set_big_parameter_dimension(3); // M is the big parameter
- \endcode
- Solving the problem provides the following solution:
- \verbatim
- Parameter E = (C + 1) div 3
- {D - E - 1 ; -C + D + E + 1}
- \endverbatim
- Under the notations above, the solution is:
- \f[ \left\{\begin{array}{l}
- x' = M - \left\lfloor\frac{p+1}{3}\right\rfloor - 1 \\
- y' = M - p + \left\lfloor\frac{p+1}{3}\right\rfloor + 1
- \end{array}\right.
- \f]
- \par
- Performing substitution again provides us with the values of the original
- variables:
- \f[ \left\{\begin{array}{l}
- x = \left\lfloor\frac{p+1}{3}\right\rfloor + 1 \\
- y = p - \left\lfloor\frac{p+1}{3}\right\rfloor - 1
- \end{array}\right.
- \f]
-
- \par Allowing variables to be arbitrarily signed
- You can deal with arbitrarily signed variables by reformulating the
- constraints using variable substitution. Proceed the following steps:
- - Create a big parameter (see PIP_Problem::set_big_parameter_dimension),
- which we will call \f$M\f$.
- - Reformulate each of the maximization problem constraints by
- substituting each \f$x_i\f$ variable with an expression of the form
- \f$x'_i-M\f$, where the \f$x'_i\f$ variables are positive.
- - Solve the lexicographic minimum for the \f$x'\f$ variable vector.
- - The solution expression can be read in the form:
- - In the solution expressions, the values of the \f$x'\f$ variables will
- be expressed in the form: \f$x'_i = x_i+M\f$. To get back the value of
- the expression of each signed \f$x_i\f$ variable, just apply the
- formula: \f$x_i = x'_i-M\f$.
- \par
- Note that if the resulting expression of one of the \f$x'_i\f$ variables
- is not in the \f$x'_i = x_i+M\f$ form, this means that the
- sign-unrestricted problem is unbounded.
- \par
- You can choose to define only a subset of the variables to be
- sign-unrestricted. In that case, just apply the variable substitution
- method on the variables you want to be sign-unrestricted.
-
- \par
- \b Example: consider you want to find the lexicographic minimum of the
- \f$(x,y)\f$ vector, where the \f$x\f$ and \f$y\f$ variables are
- sign-unrestricted, under the constraints:
- \f[\left\{\begin{array}{l}
- y \geq -2x - 4\\
- 2y \leq x + 2p
- \end{array}\right.\f]
- \par
- where \f$p\f$ is a parameter.
- \par
- After variable substitution, the constraints become:
- \f[\left\{\begin{array}{l}
- y' - M \geq -2x' + 2M - 4\\
- 2y' - 2M \leq x' - M + 2p
- \end{array}\right.\f]
- \par
- The code for creating the corresponding problem object is the following:
- \code
- Variable x(0);
- Variable y(1);
- Variable p(2);
- Variable M(3);
- Variables_Set params(p, M);
- Constraint_System cs;
- cs.insert(y - M >= -2*x + 2*M - 4);
- cs.insert(2*y - 2*M <= x - M + 2*p);
- PIP_Problem pip(cs.space_dimension(), cs.begin(), cs.end(), params);
- pip.set_big_parameter_dimension(3); // M is the big parameter
- \endcode
- \par
- Solving the problem provides the following solution:
- \verbatim
- Parameter E = (2*C + 3) div 5
- {D - E - 1 ; D + 2*E - 2}
- \endverbatim
- Under the notations above, the solution is:
- \f[ \left\{\begin{array}{l}
- x' = M - \left\lfloor\frac{2p+3}{5}\right\rfloor - 1 \\
- y' = M + 2\left\lfloor\frac{2p+3}{5}\right\rfloor - 2
- \end{array}\right.
- \f]
- \par
- Performing substitution again provides us with the values of the original
- variables:
- \f[ \left\{\begin{array}{l}
- x = -\left\lfloor\frac{2p+3}{5}\right\rfloor - 1 \\
- y = 2\left\lfloor\frac{2p+3}{5}\right\rfloor - 2
- \end{array}\right.
- \f]
-
- \par Allowing parameters to be arbitrarily signed
- You can consider a parameter \f$p\f$ arbitrarily signed by replacing
- \f$p\f$ with \f$p^+-p^-\f$, where both \f$p^+\f$ and \f$p^-\f$ are
- positive parameters. To represent a set of arbitrarily signed parameters,
- replace each parameter \f$p_i\f$ with \f$p^+_i-p^-\f$, where \f$-p^-\f$ is
- the minimum negative value of all parameters.
-
- \par Minimizing a linear cost function
- Lexicographic solving can be used to find the parametric minimum of a
- linear cost function.
- \par
- Suppose the variables are named \f$x_1, x_2, \dots, x_n\f$, and the
- parameters \f$p_1, p_2, \dots, p_m\f$. You can minimize a linear cost
- function \f$f(x_2, \dots, x_n, p_1, \dots, p_m)\f$ by simply adding the
- constraint \f$x_1 \geq f(x_2, \dots, x_n, p_1, \dots, p_m)\f$ to the
- constraint system. As lexicographic minimization ensures \f$x_1\f$ is
- minimized in priority, and because \f$x_1\f$ is forced by a constraint to
- be superior or equal to the cost function, optimal solutions of the
- problem necessarily ensure that the solution value of \f$x_1\f$ is the
- optimal value of the cost function.
-*/
-class Parma_Polyhedra_Library::PIP_Problem {
-public:
- //! Builds a trivial PIP problem.
- /*!
- A trivial PIP problem requires to compute the lexicographic minimum
- on a vector space under no constraints and with no parameters:
- due to the implicit non-negativity constraints, the origin of the
- vector space is an optimal solution.
-
- \param dim
- The dimension of the vector space enclosing \p *this
- (optional argument with default value \f$0\f$).
-
- \exception std::length_error
- Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
- */
- explicit PIP_Problem(dimension_type dim = 0);
-
- /*! \brief
- Builds a PIP problem having space dimension \p dim
- from the sequence of constraints in the range
- \f$[\mathrm{first}, \mathrm{last})\f$;
- those dimensions whose indices occur in \p p_vars are
- interpreted as parameters.
-
- \param dim
- The dimension of the vector space (variables and parameters) enclosing
- \p *this.
-
- \param first
- An input iterator to the start of the sequence of constraints.
-
- \param last
- A past-the-end input iterator to the sequence of constraints.
-
- \param p_vars
- The set of variables' indexes that are interpreted as parameters.
-
- \exception std::length_error
- Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
-
- \exception std::invalid_argument
- Thrown if the space dimension of a constraint in the sequence
- (resp., the parameter variables) is strictly greater than \p dim.
- */
- template <typename In>
- PIP_Problem(dimension_type dim, In first, In last,
- const Variables_Set& p_vars);
-
- //! Ordinary copy-constructor.
- PIP_Problem(const PIP_Problem& y);
-
- //! Destructor.
- ~PIP_Problem();
-
- //! Assignment operator.
- PIP_Problem& operator=(const PIP_Problem& y);
-
- //! Returns the maximum space dimension a PIP_Problem can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the space dimension of the PIP problem.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns a set containing all the variables' indexes representing
- the parameters of the PIP problem.
- */
- const Variables_Set& parameter_space_dimensions() const;
-
-private:
- //! A type alias for a sequence of constraints.
- typedef std::vector<Constraint> Constraint_Sequence;
-
-public:
- /*! \brief
- A type alias for the read-only iterator on the constraints
- defining the feasible region.
- */
- typedef Constraint_Sequence::const_iterator const_iterator;
-
- /*! \brief
- Returns a read-only iterator to the first constraint defining
- the feasible region.
- */
- const_iterator constraints_begin() const;
-
- /*! \brief
- Returns a past-the-end read-only iterator to the sequence of
- constraints defining the feasible region.
- */
- const_iterator constraints_end() const;
-
- //! Resets \p *this to be equal to the trivial PIP problem.
- /*!
- The space dimension is reset to \f$0\f$.
- */
- void clear();
-
- /*! \brief
- Adds <CODE>m_vars + m_params</CODE> new space dimensions
- and embeds the old PIP problem in the new vector space.
-
- \param m_vars
- The number of space dimensions to add that are interpreted as
- PIP problem variables (i.e., non parameters). These are added
- \e before adding the \p m_params parameters.
-
- \param m_params
- The number of space dimensions to add that are interpreted as
- PIP problem parameters. These are added \e after having added the
- \p m_vars problem variables.
-
- \exception std::length_error
- Thrown if adding <CODE>m_vars + m_params</CODE> new space
- dimensions would cause the vector space to exceed dimension
- <CODE>max_space_dimension()</CODE>.
-
- The new space dimensions will be those having the highest indexes
- in the new PIP problem; they are initially unconstrained.
- */
- void add_space_dimensions_and_embed(dimension_type m_vars,
- dimension_type m_params);
-
- /*! \brief
- Sets the space dimensions whose indexes which are in set \p p_vars
- to be parameter space dimensions.
-
- \exception std::invalid_argument
- Thrown if some index in \p p_vars does not correspond to
- a space dimension in \p *this.
- */
- void add_to_parameter_space_dimensions(const Variables_Set& p_vars);
-
- /*! \brief
- Adds a copy of constraint \p c to the PIP problem.
-
- \exception std::invalid_argument
- Thrown if the space dimension of \p c is strictly greater than
- the space dimension of \p *this.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds a copy of the constraints in \p cs to the PIP problem.
-
- \exception std::invalid_argument
- Thrown if the space dimension of constraint system \p cs is strictly
- greater than the space dimension of \p *this.
- */
- void add_constraints(const Constraint_System& cs);
-
- //! Checks satisfiability of \p *this.
- /*!
- \return
- \c true if and only if the PIP problem is satisfiable.
- */
- bool is_satisfiable() const;
-
- //! Optimizes the PIP problem.
- /*!
- \return
- A PIP_Problem_Status flag indicating the outcome of the optimization
- attempt (unfeasible or optimized problem).
- */
- PIP_Problem_Status solve() const;
-
- //! Returns a feasible solution for \p *this, if it exists.
- /*!
- A null pointer is returned for an unfeasible PIP problem.
- */
- PIP_Tree solution() const;
-
- //! Returns an optimizing solution for \p *this, if it exists.
- /*!
- A null pointer is returned for an unfeasible PIP problem.
- */
- PIP_Tree optimizing_solution() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //! Prints on \p s the solution computed for \p *this.
- /*!
- \param s
- The output stream.
-
- \param indent
- An indentation parameter (default value 0).
-
- \exception std::logic_error
- Thrown if trying to print the solution when the PIP problem
- still has to be solved.
- */
- void print_solution(std::ostream& s, int indent = 0) const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(PIP_Problem& y);
-
- //! Possible names for PIP_Problem control parameters.
- enum Control_Parameter_Name {
- //! Cutting strategy
- CUTTING_STRATEGY,
- //! Pivot row strategy
- PIVOT_ROW_STRATEGY,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Number of different enumeration values.
-#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- CONTROL_PARAMETER_NAME_SIZE
- };
-
- //! Possible values for PIP_Problem control parameters.
- enum Control_Parameter_Value {
- //! Choose the first non-integer row.
- CUTTING_STRATEGY_FIRST,
- //! Choose row which generates the deepest cut.
- CUTTING_STRATEGY_DEEPEST,
- //! Always generate all possible cuts.
- CUTTING_STRATEGY_ALL,
-
- //! Choose the first row with negative parameter sign.
- PIVOT_ROW_STRATEGY_FIRST,
- //! Choose a row that generates a lexicographically maximal pivot column.
- PIVOT_ROW_STRATEGY_MAX_COLUMN,
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! Number of different enumeration values.
-#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- CONTROL_PARAMETER_VALUE_SIZE
- };
-
- //! Returns the value of control parameter \p name.
- Control_Parameter_Value
- get_control_parameter(Control_Parameter_Name name) const;
-
- //! Sets control parameter \p value.
- void set_control_parameter(Control_Parameter_Value value);
-
- //! Sets the dimension for the big parameter to \p big_dim.
- void set_big_parameter_dimension(dimension_type big_dim);
-
- /*! \brief
- Returns the space dimension for the big parameter.
-
- If a big parameter was not set, returns \c not_a_dimension().
- */
- dimension_type get_big_parameter_dimension() const;
-
-private:
- //! Initializes the control parameters with default values.
- void control_parameters_init();
-
- //! Copies the control parameters from problem object \p y.
- void control_parameters_copy(const PIP_Problem& y);
-
- //! The dimension of the vector space.
- dimension_type external_space_dim;
-
- /*! \brief
- The space dimension of the current (partial) solution of the
- PIP problem; it may be smaller than \p external_space_dim.
- */
- dimension_type internal_space_dim;
-
- //! An enumerated type describing the internal status of the PIP problem.
- enum Status {
- //! The PIP problem is unsatisfiable.
- UNSATISFIABLE,
- //! The PIP problem is optimized; the solution tree has been computed.
- OPTIMIZED,
- /*! \brief
- The feasible region of the PIP problem has been changed by adding
- new variables, parameters or constraints; a feasible solution for
- the old feasible region is still available.
- */
- PARTIALLY_SATISFIABLE
- };
-
- //! The internal state of the MIP problem.
- Status status;
-
- //! The current solution decision tree
- PIP_Tree_Node* current_solution;
-
- //! The sequence of constraints describing the feasible region.
- Constraint_Sequence input_cs;
-
- //! The first index of `input_cs' containing a pending constraint.
- dimension_type first_pending_constraint;
-
- /*! \brief
- A set containing all the indices of space dimensions that are
- interpreted as problem parameters.
- */
- Variables_Set parameters;
-
-#if PPL_USE_SPARSE_MATRIX
- typedef Sparse_Row Row;
-#else
- typedef Dense_Row Row;
-#endif
-
- /*! \brief
- The initial context
-
- Contains problem constraints on parameters only
- */
- Matrix<Row> initial_context;
-
- //! The control parameters for the problem object.
- Control_Parameter_Value
- control_parameters[CONTROL_PARAMETER_NAME_SIZE];
-
- /*! \brief
- The dimension for the big parameter, or \c not_a_dimension()
- if not set.
- */
- dimension_type big_parameter_dimension;
-
- friend class PIP_Solution_Node;
-};
-
-#include "PIP_Problem.inlines.hh"
-#include "PIP_Problem.templates.hh"
-
-#endif // !defined(PPL_PIP_Problem_defs_hh)
diff --git a/src/PIP_Problem.inlines.hh b/src/PIP_Problem.inlines.hh
deleted file mode 100644
index 05a217f..0000000
--- a/src/PIP_Problem.inlines.hh
+++ /dev/null
@@ -1,96 +0,0 @@
-/* PIP_Problem class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_PIP_Problem_inlines_hh
-#define PPL_PIP_Problem_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline dimension_type
-PIP_Problem::space_dimension() const {
- return external_space_dim;
-}
-
-inline dimension_type
-PIP_Problem::max_space_dimension() {
- return Constraint::max_space_dimension();
-}
-
-inline PIP_Problem::const_iterator
-PIP_Problem::constraints_begin() const {
- return input_cs.begin();
-}
-
-inline PIP_Problem::const_iterator
-PIP_Problem::constraints_end() const {
- return input_cs.end();
-}
-
-inline const Variables_Set&
-PIP_Problem::parameter_space_dimensions() const {
- return parameters;
-}
-
-inline void
-PIP_Problem::m_swap(PIP_Problem& y) {
- using std::swap;
- swap(external_space_dim, y.external_space_dim);
- swap(internal_space_dim, y.internal_space_dim);
- swap(status, y.status);
- swap(current_solution, y.current_solution);
- swap(input_cs, y.input_cs);
- swap(first_pending_constraint, y.first_pending_constraint);
- swap(parameters, y.parameters);
- swap(initial_context, y.initial_context);
- for (dimension_type i = CONTROL_PARAMETER_NAME_SIZE; i-- > 0; )
- swap(control_parameters[i], y.control_parameters[i]);
- swap(big_parameter_dimension, y.big_parameter_dimension);
-}
-
-inline PIP_Problem&
-PIP_Problem::operator=(const PIP_Problem& y) {
- PIP_Problem tmp(y);
- m_swap(tmp);
- return *this;
-}
-
-inline PIP_Problem::Control_Parameter_Value
-PIP_Problem::get_control_parameter(Control_Parameter_Name name) const {
- PPL_ASSERT(name >= 0 && name < CONTROL_PARAMETER_NAME_SIZE);
- return control_parameters[name];
-}
-
-inline dimension_type
-PIP_Problem::get_big_parameter_dimension() const {
- return big_parameter_dimension;
-}
-
-/*! \relates PIP_Problem */
-inline void
-swap(PIP_Problem& x, PIP_Problem& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_PIP_Problem_inlines_hh)
diff --git a/src/PIP_Problem.templates.hh b/src/PIP_Problem.templates.hh
deleted file mode 100644
index fe3a96a..0000000
--- a/src/PIP_Problem.templates.hh
+++ /dev/null
@@ -1,81 +0,0 @@
-/* PIP_Problem class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_PIP_Problem_templates_hh
-#define PPL_PIP_Problem_templates_hh 1
-
-#include "Variables_Set.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename In>
-PIP_Problem::PIP_Problem(dimension_type dim,
- In first, In last,
- const Variables_Set& p_vars)
- : external_space_dim(dim),
- internal_space_dim(0),
- status(PARTIALLY_SATISFIABLE),
- current_solution(0),
- input_cs(),
- first_pending_constraint(0),
- parameters(p_vars),
- initial_context(),
- big_parameter_dimension(not_a_dimension()) {
- // Check that integer Variables_Set does not exceed the space dimension
- // of the problem.
- if (p_vars.space_dimension() > external_space_dim) {
- std::ostringstream s;
- s << "PPL::PIP_Problem::PIP_Problem(dim, first, last, p_vars):\n"
- << "dim == " << external_space_dim
- << " and p_vars.space_dimension() == "
- << p_vars.space_dimension()
- << " are dimension incompatible.";
- throw std::invalid_argument(s.str());
- }
-
- // Check for space dimension overflow.
- if (dim > max_space_dimension())
- throw std::length_error("PPL::PIP_Problem::"
- "PIP_Problem(dim, first, last, p_vars):\n"
- "dim exceeds the maximum allowed "
- "space dimension.");
- // Check the constraints.
- for (In i = first; i != last; ++i) {
- if (i->space_dimension() > dim) {
- std::ostringstream s;
- s << "PPL::PIP_Problem::"
- << "PIP_Problem(dim, first, last, p_vars):\n"
- << "range [first, last) contains a constraint having space "
- << "dimension == " << i->space_dimension()
- << " that exceeds this->space_dimension == " << dim << ".";
- throw std::invalid_argument(s.str());
- }
- input_cs.push_back(*i);
- }
- control_parameters_init();
- PPL_ASSERT(OK());
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_PIP_Problem_templates_hh)
diff --git a/src/PIP_Problem.types.hh b/src/PIP_Problem.types.hh
deleted file mode 100644
index 911abd3..0000000
--- a/src/PIP_Problem.types.hh
+++ /dev/null
@@ -1,31 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_PIP_Problem_types_hh
-#define PPL_PIP_Problem_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-//! Possible outcomes of the PIP_Problem solver.
-/*! \ingroup PPL_CXX_interface */
-enum PIP_Problem_Status {
- //! The problem is unfeasible.
- UNFEASIBLE_PIP_PROBLEM,
- //! The problem has an optimal solution.
- OPTIMIZED_PIP_PROBLEM
-};
-
-class PIP_Problem;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_PIP_Problem_types_hh)
diff --git a/src/PIP_Problem_defs.hh b/src/PIP_Problem_defs.hh
new file mode 100644
index 0000000..c4f89d8
--- /dev/null
+++ b/src/PIP_Problem_defs.hh
@@ -0,0 +1,834 @@
+/* PIP_Problem class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_PIP_Problem_defs_hh
+#define PPL_PIP_Problem_defs_hh 1
+
+#include "PIP_Problem_types.hh"
+#include "PIP_Tree_types.hh"
+#include "globals_types.hh"
+#include "Linear_Expression_defs.hh"
+#include "Constraint_defs.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_defs.hh"
+#include "Variables_Set_defs.hh"
+#include <vector>
+#include <deque>
+#include <iosfwd>
+
+#include "Matrix_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::PIP_Problem */
+std::ostream&
+operator<<(std::ostream& s, const PIP_Problem& pip);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates PIP_Problem */
+void swap(PIP_Problem& x, PIP_Problem& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A Parametric Integer (linear) Programming problem.
+/*! \ingroup PPL_CXX_interface
+ An object of this class encodes a parametric integer (linear)
+ programming problem. The PIP problem is specified by providing:
+ - the dimension of the vector space;
+ - the subset of those dimensions of the vector space that are
+ interpreted as integer parameters (the other space dimensions
+ are interpreted as non-parameter integer variables);
+ - a finite set of linear equality and (strict or non-strict)
+ inequality constraints involving variables and/or parameters;
+ these constraints are used to define:
+ - the <EM>feasible region</EM>, if they involve one or more
+ problem variable (and maybe some parameters);
+ - the <EM>initial context</EM>, if they only involve the
+ parameters;
+ - optionally, the so-called <EM>big parameter</EM>,
+ i.e., a problem parameter to be considered arbitrarily big.
+
+ Note that all problem variables and problem parameters are assumed
+ to take non-negative integer values, so that there is no need
+ to specify non-negativity constraints.
+
+ The class provides support for the (incremental) solution of the
+ PIP problem based on variations of the revised simplex method and
+ on Gomory cut generation techniques.
+
+ The solution for a PIP problem is the lexicographic minimum of the
+ integer points of the feasible region, expressed in terms of the
+ parameters. As the problem to be solved only involves non-negative
+ variables and parameters, the problem will always be either unfeasible
+ or optimizable.
+
+ As the feasibility and the solution value of a PIP problem depend on the
+ values of the parameters, the solution is a binary decision tree,
+ dividing the context parameter set into subsets.
+ The tree nodes are of two kinds:
+ - \e Decision nodes.
+ These are internal tree nodes encoding one or more linear tests
+ on the parameters; if all the tests are satisfied, then the solution
+ is the node's \e true child; otherwise, the solution is the node's
+ \e false child;
+ - \e Solution nodes.
+ These are leaf nodes in the tree, encoding the solution of the problem
+ in the current context subset, where each variable is defined in terms
+ of a linear expression of the parameters.
+ Solution nodes also optionally embed a set of parameter constraints:
+ if all these constraints are satisfied, the solution is described by
+ the node, otherwise the problem has no solution.
+
+ It may happen that a decision node has no \e false child. This means
+ that there is no solution if at least one of the corresponding
+ constraints is not satisfied. Decision nodes having two or more linear
+ tests on the parameters cannot have a \e false child. Decision nodes
+ always have a \e true child.
+
+ Both kinds of tree nodes may also contain the definition of extra
+ parameters which are artificially introduced by the solver to enforce
+ an integral solution. Such artificial parameters are defined by
+ the integer division of a linear expression on the parameters
+ by an integer coefficient.
+
+ By exploiting the incremental nature of the solver, it is possible
+ to reuse part of the computational work already done when solving
+ variants of a given PIP_Problem: currently, incremental resolution
+ supports the addition of space dimensions, the addition of parameters
+ and the addition of constraints.
+
+ \par Example problem
+ An example PIP problem can be defined the following:
+ \code
+ 3*j >= -2*i+8
+ j <= 4*i - 4
+ i <= n
+ j <= m
+ \endcode
+ where \c i and \c j are the problem variables
+ and \c n and \c m are the problem parameters.
+ This problem can be optimized; the resulting solution tree may be
+ represented as follows:
+ \verbatim
+ if 7*n >= 10 then
+ if 7*m >= 12 then
+ {i = 2 ; j = 2}
+ else
+ Parameter P = (m) div 2
+ if 2*n + 3*m >= 8 then
+ {i = -m - P + 4 ; j = m}
+ else
+ _|_
+ else
+ _|_
+ \endverbatim
+ The solution tree starts with a decision node depending on the
+ context constraint <code>7*n >= 10</code>.
+ If this constraint is satisfied by the values assigned to the
+ problem parameters, then the (textually first) \c then branch is taken,
+ reaching the \e true child of the root node (which in this case
+ is another decision node); otherwise, the (textually last) \c else
+ branch is taken, for which there is no corresponding \e false child.
+ \par
+ The \f$\perp\f$ notation, also called \e bottom, denotes the
+ lexicographic minimum of an empty set of solutions,
+ here meaning the corresponding subproblem is unfeasible.
+ \par
+ Notice that a tree node may introduce new (non-problem) parameters,
+ as is the case for parameter \c P in the (textually first) \c else
+ branch above. These \e artificial parameters are only meaningful
+ inside the subtree where they are defined and are used to define
+ the parametric values of the problem variables in solution nodes
+ (e.g., the <CODE>{i,j}</CODE> vector in the textually third \c then branch).
+
+ \par Context restriction
+ The above solution is correct in an unrestricted initial context,
+ meaning all possible values are allowed for the parameters. If we
+ restrict the context with the following parameter inequalities:
+ \code
+ m >= n
+ n >= 5
+ \endcode
+ then the resulting optimizing tree will be a simple solution node:
+ \verbatim
+ {i = 2 ; j = 2}
+ \endverbatim
+
+ \par Creating the PIP_Problem object
+ The PIP_Problem object corresponding to the above example can be
+ created as follows:
+ \code
+ Variable i(0);
+ Variable j(1);
+ Variable n(2);
+ Variable m(3);
+ Variables_Set params(n, m);
+ Constraint_System cs;
+ cs.insert(3*j >= -2*i+8);
+ cs.insert(j <= 4*i - 4);
+ cs.insert(j <= m);
+ cs.insert(i <= n);
+ PIP_Problem pip(cs.space_dimension(), cs.begin(), cs.end(), params);
+ \endcode
+ If you want to restrict the initial context, simply add the parameter
+ constraints the same way as for normal constraints.
+ \code
+ cs.insert(m >= n);
+ cs.insert(n >= 5);
+ \endcode
+
+ \par Solving the problem
+ Once the PIP_Problem object has been created, you can start the
+ resolution of the problem by calling the solve() method:
+ \code
+ PIP_Problem_Status status = pip.solve();
+ \endcode
+ where the returned \c status indicates if the problem has been optimized
+ or if it is unfeasible for any possible configuration of the parameter
+ values. The resolution process is also started if an attempt is made
+ to get its solution, as follows:
+ \code
+ const PIP_Tree_Node* node = pip.solution();
+ \endcode
+ In this case, an unfeasible problem will result in an empty solution
+ tree, i.e., assigning a null pointer to \c node.
+
+ \par Printing the solution tree
+ A previously computed solution tree may be printed as follows:
+ \code
+ pip.print_solution(std::cout);
+ \endcode
+ This will produce the following output (note: variables and parameters
+ are printed according to the default output function; see
+ <code>Variable::set_output_function</code>):
+ \verbatim
+ if 7*C >= 10 then
+ if 7*D >= 12 then
+ {2 ; 2}
+ else
+ Parameter E = (D) div 2
+ if 2*C + 3*D >= 8 then
+ {-D - E + 4 ; D}
+ else
+ _|_
+ else
+ _|_
+ \endverbatim
+
+ \par Spanning the solution tree
+ A parameter assignment for a PIP problem binds each of the problem
+ parameters to a non-negative integer value. After fixing a parameter
+ assignment, the ``spanning'' of the PIP problem solution tree refers
+ to the process whereby the solution tree is navigated, starting from
+ the root node: the value of artificial parameters is computed according
+ to the parameter assignment and the node's constraints are evaluated,
+ thereby descending in either the true or the false subtree of decision
+ nodes and eventually reaching a solution node or a bottom node.
+ If a solution node is found, each of the problem variables is provided
+ with a parametric expression, which can be evaluated to a fixed value
+ using the given parameter assignment and the computed values for
+ artificial parameters.
+ \par
+ The coding of the spanning process can be done as follows.
+ First, the root of the PIP solution tree is retrieved:
+ \code
+ const PIP_Tree_Node* node = pip.solution();
+ \endcode
+ If \c node represents an unfeasible solution (i.e., \f$\perp\f$),
+ its value will be \c 0. For a non-null tree node, the virtual methods
+ \c PIP_Tree_Node::as_decision() and \c PIP_Tree_Node::as_solution()
+ can be used to check whether the node is a decision or a solution node:
+ \code
+ const PIP_Solution_Node* sol = node->as_solution();
+ if (sol != 0) {
+ // The node is a solution node
+ ...
+ }
+ else {
+ // The node is a decision node
+ const PIP_Decision_Node* dec = node->as_decision();
+ ...
+ }
+ \endcode
+ \par
+ The true (resp., false) child node of a Decision Node may be accessed by
+ using method \c PIP_Decision_Node::child_node(bool), passing \c true
+ (resp., \c false) as the input argument.
+
+ \par Artificial parameters
+ A PIP_Tree_Node::Artificial_Parameter object represents the result
+ of the integer division of a Linear_Expression (on the other
+ parameters, including the previously-defined artificials)
+ by an integer denominator (a Coefficient object).
+ The dimensions of the artificial parameters (if any) in a tree node
+ have consecutive indices starting from <code>dim+1</code>, where the value
+ of \c dim is computed as follows:
+ - for the tree root node, \c dim is the space dimension of the PIP_Problem;
+ - for any other node of the tree, it is recursively obtained by adding
+ the value of \c dim computed for the parent node to the number of
+ artificial parameters defined in the parent node.
+ \par
+ Since the numbering of dimensions for artificial parameters follows
+ the rule above, the addition of new problem variables and/or new problem
+ parameters to an already solved PIP_Problem object (as done when
+ incrementally solving a problem) will result in the systematic
+ renumbering of all the existing artificial parameters.
+
+ \par Node constraints
+ All kind of tree nodes can contain context constraints.
+ Decision nodes always contain at least one of them.
+ The node's local constraint system can be obtained using method
+ PIP_Tree_Node::constraints.
+ These constraints only involve parameters, including both the problem
+ parameters and the artificial parameters that have been defined
+ in nodes occurring on the path from the root node to the current node.
+ The meaning of these constraints is as follows:
+ - On a decision node, if all tests in the constraints are true, then the
+ solution is the \e true child; otherwise it is the \e false child.
+ - On a solution node, if the (possibly empty) system of constraints
+ evaluates to true for a given parameter assignment, then the solution
+ is described by the node; otherwise the solution is \f$\perp\f$
+ (i.e., the problem is unfeasible for that parameter assignment).
+
+ \par Getting the optimal values for the variables
+ After spanning the solution tree using the given parameter assignment,
+ if a solution node has been reached, then it is possible to retrieve
+ the parametric expression for each of the problem variables using
+ method PIP_Solution_Node::parametric_values. The retrieved expression
+ will be defined in terms of all the parameters (problem parameters
+ and artificial parameters defined along the path).
+
+ \par Solving maximization problems
+ You can solve a lexicographic maximization problem by reformulating its
+ constraints using variable substitution. Proceed the following steps:
+ - Create a big parameter (see PIP_Problem::set_big_parameter_dimension),
+ which we will call \f$M\f$.
+ - Reformulate each of the maximization problem constraints by
+ substituting each \f$x_i\f$ variable with an expression of the form
+ \f$M-x'_i\f$, where the \f$x'_i\f$ variables are positive variables to
+ be minimized.
+ - Solve the lexicographic minimum for the \f$x'\f$ variable vector.
+ - In the solution expressions, the values of the \f$x'\f$ variables will
+ be expressed in the form: \f$x'_i = M-x_i\f$. To get back the value of
+ the expression of each \f$x_i\f$ variable, just apply the
+ formula: \f$x_i = M-x'_i\f$.
+ \par
+ Note that if the resulting expression of one of the \f$x'_i\f$ variables
+ is not in the \f$x'_i = M-x_i\f$ form, this means that the
+ sign-unrestricted problem is unbounded.
+ \par
+ You can choose to maximize only a subset of the variables while minimizing
+ the other variables. In that case, just apply the variable substitution
+ method on the variables you want to be maximized. The variable
+ optimization priority will still be in lexicographic order.
+
+ \par
+ \b Example: consider you want to find the lexicographic maximum of the
+ \f$(x,y)\f$ vector, under the constraints:
+ \f[\left\{\begin{array}{l}
+ y \geq 2x - 4\\
+ y \leq -x + p
+ \end{array}\right.\f]
+ \par
+ where \f$p\f$ is a parameter.
+ \par
+ After variable substitution, the constraints become:
+ \f[\left\{\begin{array}{l}
+ M - y \geq 2M - 2x - 4\\
+ M - y \leq -M + x + p
+ \end{array}\right.\f]
+ \par
+ The code for creating the corresponding problem object is the following:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable p(2);
+ Variable M(3);
+ Variables_Set params(p, M);
+ Constraint_System cs;
+ cs.insert(M - y >= 2*M - 2*x - 4);
+ cs.insert(M - y <= -M + x + p);
+ PIP_Problem pip(cs.space_dimension(), cs.begin(), cs.end(), params);
+ pip.set_big_parameter_dimension(3); // M is the big parameter
+ \endcode
+ Solving the problem provides the following solution:
+ \verbatim
+ Parameter E = (C + 1) div 3
+ {D - E - 1 ; -C + D + E + 1}
+ \endverbatim
+ Under the notations above, the solution is:
+ \f[ \left\{\begin{array}{l}
+ x' = M - \left\lfloor\frac{p+1}{3}\right\rfloor - 1 \\
+ y' = M - p + \left\lfloor\frac{p+1}{3}\right\rfloor + 1
+ \end{array}\right.
+ \f]
+ \par
+ Performing substitution again provides us with the values of the original
+ variables:
+ \f[ \left\{\begin{array}{l}
+ x = \left\lfloor\frac{p+1}{3}\right\rfloor + 1 \\
+ y = p - \left\lfloor\frac{p+1}{3}\right\rfloor - 1
+ \end{array}\right.
+ \f]
+
+ \par Allowing variables to be arbitrarily signed
+ You can deal with arbitrarily signed variables by reformulating the
+ constraints using variable substitution. Proceed the following steps:
+ - Create a big parameter (see PIP_Problem::set_big_parameter_dimension),
+ which we will call \f$M\f$.
+ - Reformulate each of the maximization problem constraints by
+ substituting each \f$x_i\f$ variable with an expression of the form
+ \f$x'_i-M\f$, where the \f$x'_i\f$ variables are positive.
+ - Solve the lexicographic minimum for the \f$x'\f$ variable vector.
+ - The solution expression can be read in the form:
+ - In the solution expressions, the values of the \f$x'\f$ variables will
+ be expressed in the form: \f$x'_i = x_i+M\f$. To get back the value of
+ the expression of each signed \f$x_i\f$ variable, just apply the
+ formula: \f$x_i = x'_i-M\f$.
+ \par
+ Note that if the resulting expression of one of the \f$x'_i\f$ variables
+ is not in the \f$x'_i = x_i+M\f$ form, this means that the
+ sign-unrestricted problem is unbounded.
+ \par
+ You can choose to define only a subset of the variables to be
+ sign-unrestricted. In that case, just apply the variable substitution
+ method on the variables you want to be sign-unrestricted.
+
+ \par
+ \b Example: consider you want to find the lexicographic minimum of the
+ \f$(x,y)\f$ vector, where the \f$x\f$ and \f$y\f$ variables are
+ sign-unrestricted, under the constraints:
+ \f[\left\{\begin{array}{l}
+ y \geq -2x - 4\\
+ 2y \leq x + 2p
+ \end{array}\right.\f]
+ \par
+ where \f$p\f$ is a parameter.
+ \par
+ After variable substitution, the constraints become:
+ \f[\left\{\begin{array}{l}
+ y' - M \geq -2x' + 2M - 4\\
+ 2y' - 2M \leq x' - M + 2p
+ \end{array}\right.\f]
+ \par
+ The code for creating the corresponding problem object is the following:
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable p(2);
+ Variable M(3);
+ Variables_Set params(p, M);
+ Constraint_System cs;
+ cs.insert(y - M >= -2*x + 2*M - 4);
+ cs.insert(2*y - 2*M <= x - M + 2*p);
+ PIP_Problem pip(cs.space_dimension(), cs.begin(), cs.end(), params);
+ pip.set_big_parameter_dimension(3); // M is the big parameter
+ \endcode
+ \par
+ Solving the problem provides the following solution:
+ \verbatim
+ Parameter E = (2*C + 3) div 5
+ {D - E - 1 ; D + 2*E - 2}
+ \endverbatim
+ Under the notations above, the solution is:
+ \f[ \left\{\begin{array}{l}
+ x' = M - \left\lfloor\frac{2p+3}{5}\right\rfloor - 1 \\
+ y' = M + 2\left\lfloor\frac{2p+3}{5}\right\rfloor - 2
+ \end{array}\right.
+ \f]
+ \par
+ Performing substitution again provides us with the values of the original
+ variables:
+ \f[ \left\{\begin{array}{l}
+ x = -\left\lfloor\frac{2p+3}{5}\right\rfloor - 1 \\
+ y = 2\left\lfloor\frac{2p+3}{5}\right\rfloor - 2
+ \end{array}\right.
+ \f]
+
+ \par Allowing parameters to be arbitrarily signed
+ You can consider a parameter \f$p\f$ arbitrarily signed by replacing
+ \f$p\f$ with \f$p^+-p^-\f$, where both \f$p^+\f$ and \f$p^-\f$ are
+ positive parameters. To represent a set of arbitrarily signed parameters,
+ replace each parameter \f$p_i\f$ with \f$p^+_i-p^-\f$, where \f$-p^-\f$ is
+ the minimum negative value of all parameters.
+
+ \par Minimizing a linear cost function
+ Lexicographic solving can be used to find the parametric minimum of a
+ linear cost function.
+ \par
+ Suppose the variables are named \f$x_1, x_2, \dots, x_n\f$, and the
+ parameters \f$p_1, p_2, \dots, p_m\f$. You can minimize a linear cost
+ function \f$f(x_2, \dots, x_n, p_1, \dots, p_m)\f$ by simply adding the
+ constraint \f$x_1 \geq f(x_2, \dots, x_n, p_1, \dots, p_m)\f$ to the
+ constraint system. As lexicographic minimization ensures \f$x_1\f$ is
+ minimized in priority, and because \f$x_1\f$ is forced by a constraint to
+ be superior or equal to the cost function, optimal solutions of the
+ problem necessarily ensure that the solution value of \f$x_1\f$ is the
+ optimal value of the cost function.
+*/
+class Parma_Polyhedra_Library::PIP_Problem {
+public:
+ //! Builds a trivial PIP problem.
+ /*!
+ A trivial PIP problem requires to compute the lexicographic minimum
+ on a vector space under no constraints and with no parameters:
+ due to the implicit non-negativity constraints, the origin of the
+ vector space is an optimal solution.
+
+ \param dim
+ The dimension of the vector space enclosing \p *this
+ (optional argument with default value \f$0\f$).
+
+ \exception std::length_error
+ Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
+ */
+ explicit PIP_Problem(dimension_type dim = 0);
+
+ /*! \brief
+ Builds a PIP problem having space dimension \p dim
+ from the sequence of constraints in the range
+ \f$[\mathrm{first}, \mathrm{last})\f$;
+ those dimensions whose indices occur in \p p_vars are
+ interpreted as parameters.
+
+ \param dim
+ The dimension of the vector space (variables and parameters) enclosing
+ \p *this.
+
+ \param first
+ An input iterator to the start of the sequence of constraints.
+
+ \param last
+ A past-the-end input iterator to the sequence of constraints.
+
+ \param p_vars
+ The set of variables' indexes that are interpreted as parameters.
+
+ \exception std::length_error
+ Thrown if \p dim exceeds <CODE>max_space_dimension()</CODE>.
+
+ \exception std::invalid_argument
+ Thrown if the space dimension of a constraint in the sequence
+ (resp., the parameter variables) is strictly greater than \p dim.
+ */
+ template <typename In>
+ PIP_Problem(dimension_type dim, In first, In last,
+ const Variables_Set& p_vars);
+
+ //! Ordinary copy-constructor.
+ PIP_Problem(const PIP_Problem& y);
+
+ //! Destructor.
+ ~PIP_Problem();
+
+ //! Assignment operator.
+ PIP_Problem& operator=(const PIP_Problem& y);
+
+ //! Returns the maximum space dimension a PIP_Problem can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the space dimension of the PIP problem.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns a set containing all the variables' indexes representing
+ the parameters of the PIP problem.
+ */
+ const Variables_Set& parameter_space_dimensions() const;
+
+private:
+ //! A type alias for a sequence of constraints.
+ typedef std::vector<Constraint> Constraint_Sequence;
+
+public:
+ /*! \brief
+ A type alias for the read-only iterator on the constraints
+ defining the feasible region.
+ */
+ typedef Constraint_Sequence::const_iterator const_iterator;
+
+ /*! \brief
+ Returns a read-only iterator to the first constraint defining
+ the feasible region.
+ */
+ const_iterator constraints_begin() const;
+
+ /*! \brief
+ Returns a past-the-end read-only iterator to the sequence of
+ constraints defining the feasible region.
+ */
+ const_iterator constraints_end() const;
+
+ //! Resets \p *this to be equal to the trivial PIP problem.
+ /*!
+ The space dimension is reset to \f$0\f$.
+ */
+ void clear();
+
+ /*! \brief
+ Adds <CODE>m_vars + m_params</CODE> new space dimensions
+ and embeds the old PIP problem in the new vector space.
+
+ \param m_vars
+ The number of space dimensions to add that are interpreted as
+ PIP problem variables (i.e., non parameters). These are added
+ \e before adding the \p m_params parameters.
+
+ \param m_params
+ The number of space dimensions to add that are interpreted as
+ PIP problem parameters. These are added \e after having added the
+ \p m_vars problem variables.
+
+ \exception std::length_error
+ Thrown if adding <CODE>m_vars + m_params</CODE> new space
+ dimensions would cause the vector space to exceed dimension
+ <CODE>max_space_dimension()</CODE>.
+
+ The new space dimensions will be those having the highest indexes
+ in the new PIP problem; they are initially unconstrained.
+ */
+ void add_space_dimensions_and_embed(dimension_type m_vars,
+ dimension_type m_params);
+
+ /*! \brief
+ Sets the space dimensions whose indexes which are in set \p p_vars
+ to be parameter space dimensions.
+
+ \exception std::invalid_argument
+ Thrown if some index in \p p_vars does not correspond to
+ a space dimension in \p *this.
+ */
+ void add_to_parameter_space_dimensions(const Variables_Set& p_vars);
+
+ /*! \brief
+ Adds a copy of constraint \p c to the PIP problem.
+
+ \exception std::invalid_argument
+ Thrown if the space dimension of \p c is strictly greater than
+ the space dimension of \p *this.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds a copy of the constraints in \p cs to the PIP problem.
+
+ \exception std::invalid_argument
+ Thrown if the space dimension of constraint system \p cs is strictly
+ greater than the space dimension of \p *this.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ //! Checks satisfiability of \p *this.
+ /*!
+ \return
+ \c true if and only if the PIP problem is satisfiable.
+ */
+ bool is_satisfiable() const;
+
+ //! Optimizes the PIP problem.
+ /*!
+ \return
+ A PIP_Problem_Status flag indicating the outcome of the optimization
+ attempt (unfeasible or optimized problem).
+ */
+ PIP_Problem_Status solve() const;
+
+ //! Returns a feasible solution for \p *this, if it exists.
+ /*!
+ A null pointer is returned for an unfeasible PIP problem.
+ */
+ PIP_Tree solution() const;
+
+ //! Returns an optimizing solution for \p *this, if it exists.
+ /*!
+ A null pointer is returned for an unfeasible PIP problem.
+ */
+ PIP_Tree optimizing_solution() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //! Prints on \p s the solution computed for \p *this.
+ /*!
+ \param s
+ The output stream.
+
+ \param indent
+ An indentation parameter (default value 0).
+
+ \exception std::logic_error
+ Thrown if trying to print the solution when the PIP problem
+ still has to be solved.
+ */
+ void print_solution(std::ostream& s, int indent = 0) const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(PIP_Problem& y);
+
+ //! Possible names for PIP_Problem control parameters.
+ enum Control_Parameter_Name {
+ //! Cutting strategy
+ CUTTING_STRATEGY,
+ //! Pivot row strategy
+ PIVOT_ROW_STRATEGY,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Number of different enumeration values.
+#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ CONTROL_PARAMETER_NAME_SIZE
+ };
+
+ //! Possible values for PIP_Problem control parameters.
+ enum Control_Parameter_Value {
+ //! Choose the first non-integer row.
+ CUTTING_STRATEGY_FIRST,
+ //! Choose row which generates the deepest cut.
+ CUTTING_STRATEGY_DEEPEST,
+ //! Always generate all possible cuts.
+ CUTTING_STRATEGY_ALL,
+
+ //! Choose the first row with negative parameter sign.
+ PIVOT_ROW_STRATEGY_FIRST,
+ //! Choose a row that generates a lexicographically maximal pivot column.
+ PIVOT_ROW_STRATEGY_MAX_COLUMN,
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! Number of different enumeration values.
+#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ CONTROL_PARAMETER_VALUE_SIZE
+ };
+
+ //! Returns the value of control parameter \p name.
+ Control_Parameter_Value
+ get_control_parameter(Control_Parameter_Name name) const;
+
+ //! Sets control parameter \p value.
+ void set_control_parameter(Control_Parameter_Value value);
+
+ //! Sets the dimension for the big parameter to \p big_dim.
+ void set_big_parameter_dimension(dimension_type big_dim);
+
+ /*! \brief
+ Returns the space dimension for the big parameter.
+
+ If a big parameter was not set, returns \c not_a_dimension().
+ */
+ dimension_type get_big_parameter_dimension() const;
+
+private:
+ //! Initializes the control parameters with default values.
+ void control_parameters_init();
+
+ //! Copies the control parameters from problem object \p y.
+ void control_parameters_copy(const PIP_Problem& y);
+
+ //! The dimension of the vector space.
+ dimension_type external_space_dim;
+
+ /*! \brief
+ The space dimension of the current (partial) solution of the
+ PIP problem; it may be smaller than \p external_space_dim.
+ */
+ dimension_type internal_space_dim;
+
+ //! An enumerated type describing the internal status of the PIP problem.
+ enum Status {
+ //! The PIP problem is unsatisfiable.
+ UNSATISFIABLE,
+ //! The PIP problem is optimized; the solution tree has been computed.
+ OPTIMIZED,
+ /*! \brief
+ The feasible region of the PIP problem has been changed by adding
+ new variables, parameters or constraints; a feasible solution for
+ the old feasible region is still available.
+ */
+ PARTIALLY_SATISFIABLE
+ };
+
+ //! The internal state of the MIP problem.
+ Status status;
+
+ //! The current solution decision tree
+ PIP_Tree_Node* current_solution;
+
+ //! The sequence of constraints describing the feasible region.
+ Constraint_Sequence input_cs;
+
+ //! The first index of `input_cs' containing a pending constraint.
+ dimension_type first_pending_constraint;
+
+ /*! \brief
+ A set containing all the indices of space dimensions that are
+ interpreted as problem parameters.
+ */
+ Variables_Set parameters;
+
+#if PPL_USE_SPARSE_MATRIX
+ typedef Sparse_Row Row;
+#else
+ typedef Dense_Row Row;
+#endif
+
+ /*! \brief
+ The initial context
+
+ Contains problem constraints on parameters only
+ */
+ Matrix<Row> initial_context;
+
+ //! The control parameters for the problem object.
+ Control_Parameter_Value
+ control_parameters[CONTROL_PARAMETER_NAME_SIZE];
+
+ /*! \brief
+ The dimension for the big parameter, or \c not_a_dimension()
+ if not set.
+ */
+ dimension_type big_parameter_dimension;
+
+ friend class PIP_Solution_Node;
+};
+
+#include "PIP_Problem_inlines.hh"
+#include "PIP_Problem_templates.hh"
+
+#endif // !defined(PPL_PIP_Problem_defs_hh)
diff --git a/src/PIP_Problem_inlines.hh b/src/PIP_Problem_inlines.hh
new file mode 100644
index 0000000..4f7d234
--- /dev/null
+++ b/src/PIP_Problem_inlines.hh
@@ -0,0 +1,96 @@
+/* PIP_Problem class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_PIP_Problem_inlines_hh
+#define PPL_PIP_Problem_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline dimension_type
+PIP_Problem::space_dimension() const {
+ return external_space_dim;
+}
+
+inline dimension_type
+PIP_Problem::max_space_dimension() {
+ return Constraint::max_space_dimension();
+}
+
+inline PIP_Problem::const_iterator
+PIP_Problem::constraints_begin() const {
+ return input_cs.begin();
+}
+
+inline PIP_Problem::const_iterator
+PIP_Problem::constraints_end() const {
+ return input_cs.end();
+}
+
+inline const Variables_Set&
+PIP_Problem::parameter_space_dimensions() const {
+ return parameters;
+}
+
+inline void
+PIP_Problem::m_swap(PIP_Problem& y) {
+ using std::swap;
+ swap(external_space_dim, y.external_space_dim);
+ swap(internal_space_dim, y.internal_space_dim);
+ swap(status, y.status);
+ swap(current_solution, y.current_solution);
+ swap(input_cs, y.input_cs);
+ swap(first_pending_constraint, y.first_pending_constraint);
+ swap(parameters, y.parameters);
+ swap(initial_context, y.initial_context);
+ for (dimension_type i = CONTROL_PARAMETER_NAME_SIZE; i-- > 0; )
+ swap(control_parameters[i], y.control_parameters[i]);
+ swap(big_parameter_dimension, y.big_parameter_dimension);
+}
+
+inline PIP_Problem&
+PIP_Problem::operator=(const PIP_Problem& y) {
+ PIP_Problem tmp(y);
+ m_swap(tmp);
+ return *this;
+}
+
+inline PIP_Problem::Control_Parameter_Value
+PIP_Problem::get_control_parameter(Control_Parameter_Name name) const {
+ PPL_ASSERT(name >= 0 && name < CONTROL_PARAMETER_NAME_SIZE);
+ return control_parameters[name];
+}
+
+inline dimension_type
+PIP_Problem::get_big_parameter_dimension() const {
+ return big_parameter_dimension;
+}
+
+/*! \relates PIP_Problem */
+inline void
+swap(PIP_Problem& x, PIP_Problem& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_PIP_Problem_inlines_hh)
diff --git a/src/PIP_Problem_templates.hh b/src/PIP_Problem_templates.hh
new file mode 100644
index 0000000..2d414a8
--- /dev/null
+++ b/src/PIP_Problem_templates.hh
@@ -0,0 +1,81 @@
+/* PIP_Problem class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_PIP_Problem_templates_hh
+#define PPL_PIP_Problem_templates_hh 1
+
+#include "Variables_Set_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename In>
+PIP_Problem::PIP_Problem(dimension_type dim,
+ In first, In last,
+ const Variables_Set& p_vars)
+ : external_space_dim(dim),
+ internal_space_dim(0),
+ status(PARTIALLY_SATISFIABLE),
+ current_solution(0),
+ input_cs(),
+ first_pending_constraint(0),
+ parameters(p_vars),
+ initial_context(),
+ big_parameter_dimension(not_a_dimension()) {
+ // Check that integer Variables_Set does not exceed the space dimension
+ // of the problem.
+ if (p_vars.space_dimension() > external_space_dim) {
+ std::ostringstream s;
+ s << "PPL::PIP_Problem::PIP_Problem(dim, first, last, p_vars):\n"
+ << "dim == " << external_space_dim
+ << " and p_vars.space_dimension() == "
+ << p_vars.space_dimension()
+ << " are dimension incompatible.";
+ throw std::invalid_argument(s.str());
+ }
+
+ // Check for space dimension overflow.
+ if (dim > max_space_dimension())
+ throw std::length_error("PPL::PIP_Problem::"
+ "PIP_Problem(dim, first, last, p_vars):\n"
+ "dim exceeds the maximum allowed "
+ "space dimension.");
+ // Check the constraints.
+ for (In i = first; i != last; ++i) {
+ if (i->space_dimension() > dim) {
+ std::ostringstream s;
+ s << "PPL::PIP_Problem::"
+ << "PIP_Problem(dim, first, last, p_vars):\n"
+ << "range [first, last) contains a constraint having space "
+ << "dimension == " << i->space_dimension()
+ << " that exceeds this->space_dimension == " << dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+ input_cs.push_back(*i);
+ }
+ control_parameters_init();
+ PPL_ASSERT(OK());
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_PIP_Problem_templates_hh)
diff --git a/src/PIP_Problem_types.hh b/src/PIP_Problem_types.hh
new file mode 100644
index 0000000..a1f044f
--- /dev/null
+++ b/src/PIP_Problem_types.hh
@@ -0,0 +1,31 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_PIP_Problem_types_hh
+#define PPL_PIP_Problem_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+//! Possible outcomes of the PIP_Problem solver.
+/*! \ingroup PPL_CXX_interface */
+enum PIP_Problem_Status {
+ //! The problem is unfeasible.
+ UNFEASIBLE_PIP_PROBLEM,
+ //! The problem has an optimal solution.
+ OPTIMIZED_PIP_PROBLEM
+};
+
+class PIP_Problem;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_PIP_Problem_types_hh)
diff --git a/src/PIP_Tree.cc b/src/PIP_Tree.cc
index 9899dc5..4a6d6b3 100644
--- a/src/PIP_Tree.cc
+++ b/src/PIP_Tree.cc
@@ -1,6 +1,6 @@
/* PIP_Tree related class implementation: non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "PIP_Tree.defs.hh"
-#include "PIP_Problem.defs.hh"
+#include "PIP_Tree_defs.hh"
+#include "PIP_Problem_defs.hh"
#include <algorithm>
#include <memory>
#include <map>
@@ -148,7 +148,7 @@ merge_assign(Matrix<PIP_Tree_Node::Row>& x, const Constraint_System& y,
// size of `parameters' will be greater than the number of nonzero
// coefficients in y_i).
for (dimension_type j = 1; pj != param_end; ++pj, ++j) {
- Variable vj(*pj);
+ const Variable vj(*pj);
if (vj.space_dimension() > cs_space_dim)
break;
Coefficient_traits::const_reference c = y_i->coefficient(vj);
@@ -694,8 +694,8 @@ compatibility_check_find_pivot_in_set(
// compared. This speeds up the code, because the values' computation
// is a bit expensive.
- int lhs_sign = sgn(cost) * sgn(row_value);
- int rhs_sign = sgn(challenger_cost) * sgn(row_challenger_value);
+ const int lhs_sign = sgn(cost) * sgn(row_value);
+ const int rhs_sign = sgn(challenger_cost) * sgn(row_challenger_value);
if (lhs_sign != rhs_sign) {
if (lhs_sign > rhs_sign) {
@@ -781,8 +781,8 @@ compatibility_check_find_pivot(const Matrix<PIP_Tree_Node::Row>& s,
// Before computing and comparing the actual values, the signs are
// compared. This speeds up the code, because the values' computation
// is a bit expensive.
- int lhs_coeff_sgn = sgn(current_data.cost);
- int rhs_coeff_sgn = sgn(s_i0);
+ const int lhs_coeff_sgn = sgn(current_data.cost);
+ const int rhs_coeff_sgn = sgn(s_i0);
if (lhs_coeff_sgn != rhs_coeff_sgn) {
// Same column: just compare the ratios.
@@ -1139,7 +1139,7 @@ PIP_Tree_Node::OK() const {
cerr << "The feasible region of the PIP_Problem parameter context"
<< "is defined by a constraint system containing strict "
<< "inequalities."
- << endl;
+ << endl;
ascii_dump(cerr);
#endif
return false;
@@ -1280,7 +1280,7 @@ PIP_Decision_Node::OK() const {
// Decision nodes with a false child must have exactly one constraint.
if (false_child != 0) {
- dimension_type dist = Implementation::num_constraints(constraints_);
+ const dimension_type dist = Implementation::num_constraints(constraints_);
if (dist != 1) {
#ifndef NDEBUG
std::cerr << "PIP_Decision_Node with a 'false' child has "
@@ -1382,7 +1382,7 @@ PIP_Decision_Node::solve(const PIP_Problem& pip,
indent_and_print(std::cerr, indent_level,
"==> merge then branch with parent.\n");
#endif
- PIP_Tree_Node* node = true_child;
+ PIP_Tree_Node* const node = true_child;
node->parent_merge();
node->set_parent(parent());
true_child = 0;
@@ -1399,7 +1399,7 @@ PIP_Decision_Node::solve(const PIP_Problem& pip,
indent_and_print(std::cerr, indent_level,
"==> merge else branch with parent.\n");
#endif
- PIP_Tree_Node* node = false_child;
+ PIP_Tree_Node* const node = false_child;
node->parent_merge();
node->set_parent(parent());
false_child = 0;
@@ -1431,7 +1431,7 @@ PIP_Decision_Node::solve(const PIP_Problem& pip,
indent_and_print(std::cerr, indent_level,
"==> merge then branch with parent.\n");
#endif
- PIP_Tree_Node* node = true_child;
+ PIP_Tree_Node* const node = true_child;
node->parent_merge();
node->set_parent(parent());
true_child = 0;
@@ -1457,12 +1457,12 @@ PIP_Decision_Node::ascii_dump(std::ostream& s) const {
// for debugging purposes (since we want to dump broken nodes).
s << "BOTTOM\n";
}
- else if (const PIP_Decision_Node* dec = true_child->as_decision()) {
+ else if (const PIP_Decision_Node* const dec = true_child->as_decision()) {
s << "DECISION\n";
dec->ascii_dump(s);
}
else {
- const PIP_Solution_Node* sol = true_child->as_solution();
+ const PIP_Solution_Node* const sol = true_child->as_solution();
PPL_ASSERT(sol != 0);
s << "SOLUTION\n";
sol->ascii_dump(s);
@@ -1472,7 +1472,7 @@ PIP_Decision_Node::ascii_dump(std::ostream& s) const {
s << "\nfalse_child: ";
if (false_child == 0)
s << "BOTTOM\n";
- else if (const PIP_Decision_Node* dec = false_child->as_decision()) {
+ else if (const PIP_Decision_Node* const dec = false_child->as_decision()) {
// Note: this branch should normally be unreachable code.
// Since a well-formed decision node having a false child should have
// a single context constraint, its false child will have no context
@@ -1482,7 +1482,7 @@ PIP_Decision_Node::ascii_dump(std::ostream& s) const {
dec->ascii_dump(s);
}
else {
- const PIP_Solution_Node* sol = false_child->as_solution();
+ const PIP_Solution_Node* const sol = false_child->as_solution();
PPL_ASSERT(sol != 0);
s << "SOLUTION\n";
sol->ascii_dump(s);
@@ -1510,13 +1510,13 @@ PIP_Decision_Node::ascii_load(std::istream& s) {
// Note: normally unreachable code (see comment on ascii_dump).
true_child = 0;
else if (str == "DECISION") {
- PIP_Decision_Node* dec = new PIP_Decision_Node(0, 0, 0);
+ PIP_Decision_Node* const dec = new PIP_Decision_Node(0, 0, 0);
true_child = dec;
if (!dec->ascii_load(s))
return false;
}
else if (str == "SOLUTION") {
- PIP_Solution_Node* sol = new PIP_Solution_Node(0);
+ PIP_Solution_Node* const sol = new PIP_Solution_Node(0);
true_child = sol;
if (!sol->ascii_load(s))
return false;
@@ -1538,13 +1538,13 @@ PIP_Decision_Node::ascii_load(std::istream& s) {
false_child = 0;
else if (str == "DECISION") {
// Note: normally unreachable code (see comment on ascii_dump).
- PIP_Decision_Node* dec = new PIP_Decision_Node(0, 0, 0);
+ PIP_Decision_Node* const dec = new PIP_Decision_Node(0, 0, 0);
false_child = dec;
if (!dec->ascii_load(s))
return false;
}
else if (str == "SOLUTION") {
- PIP_Solution_Node* sol = new PIP_Solution_Node(0);
+ PIP_Solution_Node* const sol = new PIP_Solution_Node(0);
false_child = sol;
if (!sol->ascii_load(s))
return false;
@@ -1724,7 +1724,8 @@ void
PIP_Tree_Node::ascii_dump(std::ostream& s) const {
s << "constraints_\n";
constraints_.ascii_dump(s);
- dimension_type artificial_parameters_size = artificial_parameters.size();
+ const dimension_type artificial_parameters_size
+ = artificial_parameters.size();
s << "\nartificial_parameters( " << artificial_parameters_size << " )\n";
for (dimension_type i = 0; i < artificial_parameters_size; ++i)
artificial_parameters[i].ascii_dump(s);
@@ -1804,25 +1805,25 @@ PIP_Solution_Node::ascii_dump(std::ostream& os) const {
tableau.ascii_dump(os);
os << "\nbasis ";
- dimension_type basis_size = basis.size();
+ const dimension_type basis_size = basis.size();
os << basis_size;
for (dimension_type i = 0; i < basis_size; ++i)
os << (basis[i] ? " true" : " false");
os << "\nmapping ";
- dimension_type mapping_size = mapping.size();
+ const dimension_type mapping_size = mapping.size();
os << mapping_size;
for (dimension_type i = 0; i < mapping_size; ++i)
os << " " << mapping[i];
os << "\nvar_row ";
- dimension_type var_row_size = var_row.size();
+ const dimension_type var_row_size = var_row.size();
os << var_row_size;
for (dimension_type i = 0; i < var_row_size; ++i)
os << " " << var_row[i];
os << "\nvar_column ";
- dimension_type var_column_size = var_column.size();
+ const dimension_type var_column_size = var_column.size();
os << var_column_size;
for (dimension_type i = 0; i < var_column_size; ++i)
os << " " << var_column[i];
@@ -1832,7 +1833,7 @@ PIP_Solution_Node::ascii_dump(std::ostream& os) const {
os << "big_dimension " << big_dimension << "\n";
os << "sign ";
- dimension_type sign_size = sign.size();
+ const dimension_type sign_size = sign.size();
os << sign_size;
for (dimension_type i = 0; i < sign_size; ++i) {
os << " ";
@@ -1856,7 +1857,7 @@ PIP_Solution_Node::ascii_dump(std::ostream& os) const {
}
os << "\n";
- dimension_type solution_size = solution.size();
+ const dimension_type solution_size = solution.size();
os << "solution " << solution_size << "\n";
for (dimension_type i = 0; i < solution_size; ++i)
solution[i].ascii_dump(os);
@@ -2085,7 +2086,7 @@ PIP_Tree_Node::compatibility_check(Matrix<Row>& s) {
// pj is the pivot's column index.
dimension_type pj = 0;
- bool found_positive_pivot_candidate
+ const bool found_positive_pivot_candidate
= compatibility_check_find_pivot(s, mapping, basis, pi, pj);
if (!found_positive_pivot_candidate)
@@ -2338,16 +2339,17 @@ PIP_Solution_Node
}
WEIGHT_BEGIN();
dimension_type last_dim = 0;
- const Constraint::Expression& e = constraint.expression();
- for (Constraint::Expression::const_iterator
+ const Constraint::expr_type e = constraint.expression();
+ for (Constraint::expr_type::const_iterator
i = e.begin(), i_end = e.end(); i != i_end; ++i) {
const dimension_type dim = i.variable().space_dimension();
if (dim != last_dim + 1) {
// We have skipped some zero coefficients.
// Update p_index and v_index accordingly.
- dimension_type n = std::distance(parameters.lower_bound(last_dim),
- parameters.lower_bound(dim - 1));
- dimension_type num_skipped = dim - last_dim - 1;
+ const dimension_type n
+ = std::distance(parameters.lower_bound(last_dim),
+ parameters.lower_bound(dim - 1));
+ const dimension_type num_skipped = dim - last_dim - 1;
p_index += n;
v_index += (num_skipped - n);
}
@@ -2727,10 +2729,11 @@ PIP_Solution_Node::solve(const PIP_Problem& pip,
if (s_i_pj_itr == s_i.end())
continue;
+ // FIXME: the following comment does not make sense.
// NOTE: This is a Coefficient& instead of a
// Coefficient_traits::const_reference, because scale() may silently
// modify it.
- Coefficient& s_i_pj = *s_i_pj_itr;
+ const Coefficient& s_i_pj = *s_i_pj_itr;
if (s_i_pj == 0)
continue;
@@ -3007,11 +3010,11 @@ PIP_Solution_Node::solve(const PIP_Problem& pip,
// then we would obtain a node violating the PIP_Decision_Node
// invariant saying that t_node should have a single constraint:
// it will have, at least, the two splitting constraints.
- PIP_Decision_Node* decision_node_p
+ const PIP_Decision_Node* const decision_node_p
= dynamic_cast<PIP_Decision_Node*>(t_node);
if (decision_node_p != 0 && decision_node_p->false_child != 0) {
// Do NOT merge: create a new decision node.
- PIP_Tree_Node* parent
+ PIP_Tree_Node* const parent
= new PIP_Decision_Node(t_node->get_owner(), 0, t_node);
// Previously wrapped 't_node' is now safe: release it
// and protect new 'parent' node from exception safety issues.
@@ -3330,7 +3333,7 @@ PIP_Solution_Node::generate_cut(const dimension_type index,
}
}
// Generate new artificial parameter.
- Artificial_Parameter ap(expr, denom);
+ const Artificial_Parameter ap(expr, denom);
// Search if the Artificial_Parameter has already been generated.
ap_column = space_dimension;
@@ -3640,7 +3643,8 @@ PIP_Decision_Node::print_tree(std::ostream& s, const int indent,
PIP_Tree_Node::print_tree(s, indent, pip_dim_is_param, first_art_dim);
// Then print info specific of decision nodes.
- dimension_type child_first_art_dim = first_art_dim + art_parameter_count();
+ const dimension_type child_first_art_dim
+ = first_art_dim + art_parameter_count();
PPL_ASSERT(true_child != 0);
true_child->print_tree(s, indent+1, pip_dim_is_param, child_first_art_dim);
@@ -3687,7 +3691,7 @@ PIP_Solution_Node::print_tree(std::ostream& s, const int indent,
const Linear_Expression&
PIP_Solution_Node::parametric_values(const Variable var) const {
- const PIP_Problem* pip = get_owner();
+ const PIP_Problem* const pip = get_owner();
PPL_ASSERT(pip != 0);
const dimension_type space_dim = pip->space_dimension();
@@ -3726,7 +3730,7 @@ PIP_Solution_Node::update_solution() const {
if (solution_valid)
return;
- const PIP_Problem* pip = get_owner();
+ const PIP_Problem* const pip = get_owner();
PPL_ASSERT(pip != 0);
std::vector<bool> pip_dim_is_param(pip->space_dimension());
const Variables_Set& params = pip->parameter_space_dimensions();
diff --git a/src/PIP_Tree.defs.hh b/src/PIP_Tree.defs.hh
deleted file mode 100644
index b6f27a7..0000000
--- a/src/PIP_Tree.defs.hh
+++ /dev/null
@@ -1,836 +0,0 @@
-/* PIP_Tree_Node class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_PIP_Tree_defs_hh
-#define PPL_PIP_Tree_defs_hh 1
-
-#include "PIP_Tree.types.hh"
-#include "Variable.defs.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Constraint.defs.hh"
-#include "Variables_Set.defs.hh"
-#include "globals.defs.hh"
-#include "PIP_Problem.defs.hh"
-
-#include "Matrix.defs.hh"
-#include "Dense_Row.defs.hh"
-#include "Sparse_Row.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-//! A node of the PIP solution tree.
-/*!
- This is the base class for the nodes of the binary trees representing
- the solutions of PIP problems. From this one, two classes are derived:
- - PIP_Decision_Node, for the internal nodes of the tree;
- - PIP_Solution_Node, for the leaves of the tree.
-*/
-class PIP_Tree_Node {
-protected:
- //! Constructor: builds a node owned by \p *owner.
- explicit PIP_Tree_Node(const PIP_Problem* owner);
-
- //! Copy constructor.
- PIP_Tree_Node(const PIP_Tree_Node& y);
-
- //! Returns a pointer to the PIP_Problem owning object.
- const PIP_Problem* get_owner() const;
-
- //! Sets the pointer to the PIP_Problem owning object.
- virtual void set_owner(const PIP_Problem* owner) = 0;
-
- /*! \brief
- Returns \c true if and only if all the nodes in the subtree
- rooted in \p *this is owned by \p *pip.
- */
- virtual bool check_ownership(const PIP_Problem* owner) const = 0;
-
-public:
-#if PPL_USE_SPARSE_MATRIX
- typedef Sparse_Row Row;
-#else
- typedef Dense_Row Row;
-#endif
-
- //! Returns a pointer to a dynamically-allocated copy of \p *this.
- virtual PIP_Tree_Node* clone() const = 0;
-
- //! Destructor.
- virtual ~PIP_Tree_Node();
-
- //! Returns \c true if and only if \p *this is well formed.
- virtual bool OK() const = 0;
-
- //! Returns \p this if \p *this is a solution node, 0 otherwise.
- virtual const PIP_Solution_Node* as_solution() const = 0;
-
- //! Returns \p this if \p *this is a decision node, 0 otherwise.
- virtual const PIP_Decision_Node* as_decision() const = 0;
-
- /*! \brief
- Returns the system of parameter constraints controlling \p *this.
-
- The indices in the constraints are the same as the original variables and
- parameters. Coefficients in indices corresponding to variables always are
- zero.
- */
- const Constraint_System& constraints() const;
-
- class Artificial_Parameter;
-
- //! A type alias for a sequence of Artificial_Parameter's.
- typedef std::vector<Artificial_Parameter> Artificial_Parameter_Sequence;
-
- //! Returns a const_iterator to the beginning of local artificial parameters.
- Artificial_Parameter_Sequence::const_iterator art_parameter_begin() const;
-
- //! Returns a const_iterator to the end of local artificial parameters.
- Artificial_Parameter_Sequence::const_iterator art_parameter_end() const;
-
- //! Returns the number of local artificial parameters.
- dimension_type art_parameter_count() const;
-
- //! Prints on \p s the tree rooted in \p *this.
- /*!
- \param s
- The output stream.
-
- \param indent
- The amount of indentation.
- */
- void print(std::ostream& s, int indent = 0) const;
-
- //! Dumps to \p s an ASCII representation of \p *this.
- void ascii_dump(std::ostream& s) const;
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- virtual memory_size_type total_memory_in_bytes() const = 0;
- //! Returns the size in bytes of the memory managed by \p *this.
- virtual memory_size_type external_memory_in_bytes() const = 0;
-
-protected:
- //! A type alias for a sequence of constraints.
- typedef std::vector<Constraint> Constraint_Sequence;
-
- // Only PIP_Problem and PIP_Decision_Node are allowed to use the
- // constructor and methods.
- friend class PIP_Problem;
- friend class PIP_Decision_Node;
- friend class PIP_Solution_Node;
-
- //! A pointer to the PIP_Problem object owning this node.
- const PIP_Problem* owner_;
-
- //! A pointer to the parent of \p *this, null if \p *this is the root.
- const PIP_Decision_Node* parent_;
-
- //! The local system of parameter constraints.
- Constraint_System constraints_;
-
- //! The local sequence of expressions for local artificial parameters.
- Artificial_Parameter_Sequence artificial_parameters;
-
- //! Returns a pointer to this node's parent.
- const PIP_Decision_Node* parent() const;
-
- //! Set this node's parent to \p *p.
- void set_parent(const PIP_Decision_Node* p);
-
- /*! \brief
- Populates the parametric simplex tableau using external data.
-
- \param pip
- The PIP_Problem object containing this node.
-
- \param external_space_dim
- The number of all problem variables and problem parameters
- (excluding artificial parameters).
-
- \param first_pending_constraint
- The first element in \p input_cs to be added to the tableau,
- which already contains the previous elements.
-
- \param input_cs
- All the constraints of the PIP problem.
-
- \param parameters
- The set of indices of the problem parameters.
- */
- virtual void update_tableau(const PIP_Problem& pip,
- dimension_type external_space_dim,
- dimension_type first_pending_constraint,
- const Constraint_Sequence& input_cs,
- const Variables_Set& parameters) = 0;
-
- /*! \brief
- Executes a parametric simplex on the tableau, under specified context.
-
- \return
- The root of the PIP tree solution, or 0 if unfeasible.
-
- \param pip
- The PIP_Problem object containing this node.
-
- \param check_feasible_context
- Whether the resolution process should (re-)check feasibility of
- context (since the initial context may have been modified).
-
- \param context
- The context, being a set of constraints on the parameters.
-
- \param params
- The local parameter set, including parent's artificial parameters.
-
- \param space_dim
- The space dimension of parent, including artificial parameters.
-
- \param indent_level
- The indentation level (for debugging output only).
- */
- virtual PIP_Tree_Node* solve(const PIP_Problem& pip,
- bool check_feasible_context,
- const Matrix<Row>& context,
- const Variables_Set& params,
- dimension_type space_dim,
- int indent_level) = 0;
-
- //! Inserts a new parametric constraint in internal row format.
- void add_constraint(const Row& row, const Variables_Set& parameters);
-
- //! Merges parent's artificial parameters into \p *this.
- void parent_merge();
-
- //! Prints on \p s the tree rooted in \p *this.
- /*!
- \param s
- The output stream.
-
- \param indent
- The amount of indentation.
-
- \param pip_dim_is_param
- A vector of Boolean flags telling which PIP problem dimensions are
- problem parameters. The size of the vector is equal to the PIP
- problem internal space dimension (i.e., no artificial parameters).
-
- \param first_art_dim
- The first space dimension corresponding to an artificial parameter
- that was created in this node (if any).
- */
- virtual void print_tree(std::ostream& s,
- int indent,
- const std::vector<bool>& pip_dim_is_param,
- dimension_type first_art_dim) const = 0;
-
- //! A helper function used when printing PIP trees.
- static void
- indent_and_print(std::ostream& s, int indent, const char* str);
-
- /*! \brief
- Checks whether a context matrix is satisfiable.
-
- The satisfiability check is implemented by the revised dual simplex
- algorithm on the context matrix. The algorithm ensures the feasible
- solution is integer by applying a cut generation method when
- intermediate non-integer solutions are found.
- */
- static bool compatibility_check(Matrix<Row>& s);
-
- /*! \brief
- Helper method: checks for satisfiability of the restricted context
- obtained by adding \p row to \p context.
- */
- static bool compatibility_check(const Matrix<Row>& context, const Row& row);
-
-}; // class PIP_Tree_Node
-
-
-/*! \brief
- Artificial parameters in PIP solution trees.
-
- These parameters are built from a linear expression combining other
- parameters (constant term included) divided by a positive integer
- denominator. Coefficients at variables indices corresponding to
- PIP problem variables are always zero.
-*/
-class PIP_Tree_Node::Artificial_Parameter
- : public Linear_Expression {
-public:
- //! Default constructor: builds a zero artificial parameter.
- Artificial_Parameter();
-
- //! Constructor.
- /*!
- Builds artificial parameter \f$\frac{\mathtt{expr}}{\mathtt{d}}\f$.
-
- \param expr
- The expression that, after normalization, will form the numerator of
- the artificial parameter.
-
- \param d
- The integer constant that, after normalization, will form the
- denominator of the artificial parameter.
-
- \exception std::invalid_argument
- Thrown if \p d is zero.
-
- Normalization will ensure that the denominator is positive.
- */
- Artificial_Parameter(const Linear_Expression& expr,
- Coefficient_traits::const_reference d);
-
- //! Copy constructor.
- Artificial_Parameter(const Artificial_Parameter& y);
-
- //! Returns the normalized (i.e., positive) denominator.
- Coefficient_traits::const_reference denominator() const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Artificial_Parameter& y);
-
- //! Returns \c true if and only if \p *this and \p y are equal.
- /*!
- Note that two artificial parameters having different space dimensions
- are considered to be different.
- */
- bool operator==(const Artificial_Parameter& y) const;
- //! Returns \c true if and only if \p *this and \p y are different.
- bool operator!=(const Artificial_Parameter& y) const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Returns \c true if and only if the parameter is well-formed.
- bool OK() const;
-
-private:
- //! The normalized (i.e., positive) denominator.
- Coefficient denom;
-}; // class PIP_Tree_Node::Artificial_Parameter
-
-
-//! Swaps \p x with \p y.
-/*! \relates PIP_Tree_Node::Artificial_Parameter */
-void
-swap(PIP_Tree_Node::Artificial_Parameter& x,
- PIP_Tree_Node::Artificial_Parameter& y);
-
-
-//! A tree node representing part of the space of solutions.
-class PIP_Solution_Node : public PIP_Tree_Node {
-public:
-
- //! Constructor: builds a solution node owned by \p *owner.
- explicit PIP_Solution_Node(const PIP_Problem* owner);
-
- //! Returns a pointer to a dynamically-allocated copy of \p *this.
- virtual PIP_Tree_Node* clone() const;
-
- //! Destructor.
- virtual ~PIP_Solution_Node();
-
- //! Returns \c true if and only if \p *this is well formed.
- virtual bool OK() const;
-
- //! Returns \p this.
- virtual const PIP_Solution_Node* as_solution() const;
-
- //! Returns 0, since \p this is not a decision node.
- virtual const PIP_Decision_Node* as_decision() const;
-
- /*! \brief
- Returns a parametric expression for the values of problem variable \p var.
-
- The returned linear expression may involve problem parameters
- as well as artificial parameters.
-
- \param var
- The problem variable which is queried about.
-
- \exception std::invalid_argument
- Thrown if \p var is dimension-incompatible with the PIP_Problem
- owning this solution node, or if \p var is a problem parameter.
- */
- const Linear_Expression& parametric_values(Variable var) const;
-
- //! Dumps to \p os an ASCII representation of \p *this.
- void ascii_dump(std::ostream& os) const;
-
- /*! \brief
- Loads from \p is an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& is);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- virtual memory_size_type total_memory_in_bytes() const;
- //! Returns the size in bytes of the memory managed by \p *this.
- virtual memory_size_type external_memory_in_bytes() const;
-
-private:
- //! The type for parametric simplex tableau.
- struct Tableau {
- //! The matrix of simplex coefficients.
- Matrix<Row> s;
- //! The matrix of parameter coefficients.
- Matrix<Row> t;
- //! A common denominator for all matrix elements
- Coefficient denom;
-
- //! Default constructor.
- Tableau();
- //! Copy constructor.
- Tableau(const Tableau& y);
- //! Destructor.
- ~Tableau();
-
- //! Tests whether the matrix is integer, i.e., the denominator is 1.
- bool is_integer() const;
-
- //! Multiplies all coefficients and denominator with ratio.
- void scale(Coefficient_traits::const_reference ratio);
-
- //! Normalizes the modulo of coefficients so that they are mutually prime.
- /*!
- Computes the Greatest Common Divisor (GCD) among the elements of
- the matrices and normalizes them and the denominator by the GCD itself.
- */
- void normalize();
-
- /*! \brief
- Compares two pivot row and column pairs before pivoting.
-
- The algorithm searches the first (ie, leftmost) column \f$k\f$ in
- parameter matrix for which the \f$c=s_{*j}\frac{t_{ik}}{s_{ij}}\f$
- and \f$c'=s_{*j'}\frac{t_{i'k}}{s_{i'j'}}\f$ columns are different,
- where \f$s_{*j}\f$ denotes the \f$j\f$<sup>th</sup> column from the
- \f$s\f$ matrix and \f$s_{*j'}\f$ is the \f$j'\f$<sup>th</sup> column
- of \f$s\f$.
-
- \f$c\f$ is the computed column that would be subtracted to column
- \f$k\f$ in parameter matrix if pivoting is done using the \f$(i,j)\f$
- row and column pair.
- \f$c'\f$ is the computed column that would be subtracted to column
- \f$k\f$ in parameter matrix if pivoting is done using the
- \f$(i',j')\f$ row and column pair.
-
- The test is true if the computed \f$-c\f$ column is lexicographically
- bigger than the \f$-c'\f$ column. Due to the column ordering in the
- parameter matrix of the tableau, leftmost search will enforce solution
- increase with respect to the following priority order:
- - the constant term
- - the coefficients for the original parameters
- - the coefficients for the oldest artificial parameters.
-
- \return
- \c true if pivot row and column pair \f$(i,j)\f$ is more
- suitable for pivoting than the \f$(i',j')\f$ pair
-
- \param mapping
- The PIP_Solution_Node::mapping vector for the tableau.
-
- \param basis
- The PIP_Solution_Node::basis vector for the tableau.
-
- \param row_0
- The row number for the first pivot row and column pair to be compared.
-
- \param col_0
- The column number for the first pivot row and column pair to be
- compared.
-
- \param row_1
- The row number for the second pivot row and column pair to be compared.
-
- \param col_1
- The column number for the second pivot row and column pair to be
- compared.
- */
- bool is_better_pivot(const std::vector<dimension_type>& mapping,
- const std::vector<bool>& basis,
- const dimension_type row_0,
- const dimension_type col_0,
- const dimension_type row_1,
- const dimension_type col_1) const;
-
- //! Returns the value of the denominator.
- Coefficient_traits::const_reference denominator() const;
-
- //! Dumps to \p os an ASCII representation of \p *this.
- void ascii_dump(std::ostream& os) const;
-
- /*! \brief
- Loads from \p is an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns \c true if successful, \c false otherwise.
- */
- bool ascii_load(std::istream& is);
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- \note
- No need for a \c total_memory_in_bytes() method, since
- class Tableau is a private inner class of PIP_Solution_Node.
- */
- memory_size_type external_memory_in_bytes() const;
-
- //! Returns \c true if and only if \p *this is well formed.
- bool OK() const;
- }; // struct Tableau
-
- //! The parametric simplex tableau.
- Tableau tableau;
-
- /*! \brief
- A boolean vector for identifying the basic variables.
-
- Variable identifiers are numbered from 0 to <CODE>n+m-1</CODE>, where \p n
- is the number of columns in the simplex tableau corresponding to variables,
- and \p m is the number of rows.
-
- Indices from 0 to <CODE>n-1</CODE> correspond to the original variables.
-
- Indices from \p n to <CODE>n+m-1</CODE> correspond to the slack variables
- associated to the internal constraints, which do not strictly correspond
- to original constraints, since these may have been transformed to fit the
- standard form of the dual simplex.
-
- The value for <CODE>basis[i]</CODE> is:
- - \b true if variable \p i is basic,
- - \b false if variable \p i is nonbasic.
- */
- std::vector<bool> basis;
-
- /*! \brief
- A mapping between the tableau rows/columns and the original variables.
-
- The value of <CODE>mapping[i]</CODE> depends of the value of <CODE>basis[i]</CODE>.
-
- - If <CODE>basis[i]</CODE> is \b true, <CODE>mapping[i]</CODE> encodes the column
- index of variable \p i in the \p s matrix of the tableau.
- - If <CODE>basis[i]</CODE> is \b false, <CODE>mapping[i]</CODE> encodes the row
- index of variable \p i in the tableau.
- */
- std::vector<dimension_type> mapping;
-
- /*! \brief
- The variable identifiers associated to the rows of the simplex tableau.
- */
- std::vector<dimension_type> var_row;
-
- /*! \brief
- The variable identifiers associated to the columns of the simplex tableau.
- */
- std::vector<dimension_type> var_column;
-
- /*! \brief
- The variable number of the special inequality used for modeling
- equality constraints.
-
- The subset of equality constraints in a specific problem can be expressed
- as: \f$f_i(x,p) = 0 ; 1 \leq i \leq n\f$. As the dual simplex standard form
- requires constraints to be inequalities, the following constraints can be
- modeled as follows:
-
- - \f$f_i(x,p) \geq 0 ; 1 \leq i \leq n\f$
-
- - \f$\sum\limits_{i=1}^n f_i(x,p) \leq 0\f$
-
- The \p special_equality_row value stores the variable number of the
- specific constraint which is used to model the latter sum of
- constraints. If no such constraint exists, the value is set to \p 0.
- */
- dimension_type special_equality_row;
-
- /*! \brief
- The column index in the parametric part of the simplex tableau
- corresponding to the big parameter; \c not_a_dimension() if not set.
- */
- dimension_type big_dimension;
-
- //! The possible values for the sign of a parametric linear expression.
- enum Row_Sign {
- //! Not computed yet (default).
- UNKNOWN,
- //! All row coefficients are zero.
- ZERO,
- //! All nonzero row coefficients are positive.
- POSITIVE,
- //! All nonzero row coefficients are negative.
- NEGATIVE,
- //! The row contains both positive and negative coefficients.
- MIXED
- };
-
- //! A cache for computed sign values of constraint parametric RHS.
- std::vector<Row_Sign> sign;
-
- //! Parametric values for the solution.
- std::vector<Linear_Expression> solution;
-
- //! An indicator for solution validity.
- bool solution_valid;
-
- //! Returns the sign of row \p x.
- static Row_Sign row_sign(const Row& x,
- dimension_type big_dimension);
-
-protected:
- //! Copy constructor.
- PIP_Solution_Node(const PIP_Solution_Node& y);
-
- //! A tag type to select the alternative copy constructor.
- struct No_Constraints {};
-
- //! Alternative copy constructor.
- /*!
- This constructor differs from the default copy constructor in that
- it will not copy the constraint system, nor the artificial parameters.
- */
- PIP_Solution_Node(const PIP_Solution_Node& y, No_Constraints);
-
- // PIP_Problem::ascii load() method needs access set_owner().
- friend bool PIP_Problem::ascii_load(std::istream& s);
-
- //! Sets the pointer to the PIP_Problem owning object.
- virtual void set_owner(const PIP_Problem* owner);
-
- /*! \brief
- Returns \c true if and only if all the nodes in the subtree
- rooted in \p *this is owned by \p *pip.
- */
- virtual bool check_ownership(const PIP_Problem* owner) const;
-
- //! Implements pure virtual method PIP_Tree_Node::update_tableau.
- virtual void update_tableau(const PIP_Problem& pip,
- dimension_type external_space_dim,
- dimension_type first_pending_constraint,
- const Constraint_Sequence& input_cs,
- const Variables_Set& parameters);
-
- /*! \brief
- Update the solution values.
-
- \param pip_dim_is_param
- A vector of Boolean flags telling which PIP problem dimensions are
- problem parameters. The size of the vector is equal to the PIP
- problem internal space dimension (i.e., no artificial parameters).
- */
- void update_solution(const std::vector<bool>& pip_dim_is_param) const;
-
- //! Helper method.
- void update_solution() const;
-
- //! Implements pure virtual method PIP_Tree_Node::solve.
- virtual PIP_Tree_Node* solve(const PIP_Problem& pip,
- bool check_feasible_context,
- const Matrix<Row>& context,
- const Variables_Set& params,
- dimension_type space_dim,
- int indent_level);
-
- /*! \brief
- Generate a Gomory cut using non-integer tableau row \p index.
-
- \param index
- Row index in simplex tableau from which the cut is generated.
-
- \param parameters
- A std::set of the current parameter dimensions (including artificials);
- to be updated if a new artificial parameter is to be created.
-
- \param context
- A set of linear inequalities on the parameters, in matrix form; to be
- updated if a new artificial parameter is to be created.
-
- \param space_dimension
- The current space dimension, including variables and all parameters; to
- be updated if an extra parameter is to be created.
-
- \param indent_level
- The indentation level (for debugging output only).
- */
- void generate_cut(dimension_type index, Variables_Set& parameters,
- Matrix<Row>& context, dimension_type& space_dimension,
- int indent_level);
-
- //! Prints on \p s the tree rooted in \p *this.
- virtual void print_tree(std::ostream& s, int indent,
- const std::vector<bool>& pip_dim_is_param,
- dimension_type first_art_dim) const;
-
-}; // class PIP_Solution_Node
-
-
-//! A tree node representing a decision in the space of solutions.
-class PIP_Decision_Node : public PIP_Tree_Node {
-public:
- //! Returns a pointer to a dynamically-allocated copy of \p *this.
- virtual PIP_Tree_Node* clone() const;
-
- //! Destructor.
- virtual ~PIP_Decision_Node();
-
- //! Returns \c true if and only if \p *this is well formed.
- virtual bool OK() const;
-
- //! Returns \p this.
- virtual const PIP_Decision_Node* as_decision() const;
-
- //! Returns 0, since \p this is not a solution node.
- virtual const PIP_Solution_Node* as_solution() const;
-
- //! Returns a const pointer to the \p b (true or false) branch of \p *this.
- const PIP_Tree_Node* child_node(bool b) const;
-
- //! Returns a pointer to the \p b (true or false) branch of \p *this.
- PIP_Tree_Node* child_node(bool b);
-
- //! Dumps to \p s an ASCII representation of \p *this.
- void ascii_dump(std::ostream& s) const;
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- virtual memory_size_type total_memory_in_bytes() const;
- //! Returns the size in bytes of the memory managed by \p *this.
- virtual memory_size_type external_memory_in_bytes() const;
-
-private:
- // PIP_Solution_Node is allowed to use the constructor and methods.
- friend class PIP_Solution_Node;
-
- // PIP_Problem ascii load method needs access to private constructors.
- friend bool PIP_Problem::ascii_load(std::istream& s);
-
- //! Pointer to the "false" child of \p *this.
- PIP_Tree_Node* false_child;
-
- //! Pointer to the "true" child of \p *this.
- PIP_Tree_Node* true_child;
-
- /*! \brief
- Builds a decision node having \p fcp and \p tcp as child.
-
- The decision node will encode the structure
- "if \c cs then \p tcp else \p fcp",
- where the system of constraints \c cs is initially empty.
-
- \param owner
- Pointer to the owning PIP_Problem object; it may be null if and
- only if both children are null.
-
- \param fcp
- Pointer to "false" child; it may be null.
-
- \param tcp
- Pointer to "true" child; it may be null.
-
- \note
- If any of \p fcp or \p tcp is not null, then \p owner is required
- to be not null and equal to the owner of its non-null children;
- otherwise the behavior is undefined.
- */
- explicit PIP_Decision_Node(const PIP_Problem* owner,
- PIP_Tree_Node* fcp,
- PIP_Tree_Node* tcp);
-
- //! Sets the pointer to the PIP_Problem owning object.
- virtual void set_owner(const PIP_Problem* owner);
-
- /*! \brief
- Returns \c true if and only if all the nodes in the subtree
- rooted in \p *this is owned by \p *pip.
- */
- virtual bool check_ownership(const PIP_Problem* owner) const;
-
-protected:
- //! Copy constructor.
- PIP_Decision_Node(const PIP_Decision_Node& y);
-
- //! Implements pure virtual method PIP_Tree_Node::update_tableau.
- virtual void update_tableau(const PIP_Problem& pip,
- dimension_type external_space_dim,
- dimension_type first_pending_constraint,
- const Constraint_Sequence& input_cs,
- const Variables_Set& parameters);
-
- //! Implements pure virtual method PIP_Tree_Node::solve.
- virtual PIP_Tree_Node* solve(const PIP_Problem& pip,
- bool check_feasible_context,
- const Matrix<Row>& context,
- const Variables_Set& params,
- dimension_type space_dim,
- int indent_level);
-
- //! Prints on \p s the tree rooted in \p *this.
- virtual void print_tree(std::ostream& s, int indent,
- const std::vector<bool>& pip_dim_is_param,
- dimension_type first_art_dim) const;
-
-}; // class PIP_Decision_Node
-
-namespace IO_Operators {
-
-//! Output operator: prints the solution tree rooted in \p x.
-/*! \relates Parma_Polyhedra_Library::PIP_Tree_Node */
-std::ostream& operator<<(std::ostream& os, const PIP_Tree_Node& x);
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::PIP_Tree_Node::Artificial_Parameter */
-std::ostream& operator<<(std::ostream& os,
- const PIP_Tree_Node::Artificial_Parameter& x);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-#include "PIP_Tree.inlines.hh"
-
-#endif // !defined(PPL_PIP_Tree_defs_hh)
diff --git a/src/PIP_Tree.inlines.hh b/src/PIP_Tree.inlines.hh
deleted file mode 100644
index 32b56a8..0000000
--- a/src/PIP_Tree.inlines.hh
+++ /dev/null
@@ -1,140 +0,0 @@
-/* PIP_Tree related class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_PIP_Tree_inlines_hh
-#define PPL_PIP_Tree_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-PIP_Solution_Node::Tableau::Tableau()
- : s(), t(), denom(1) {
- PPL_ASSERT(OK());
-}
-
-inline
-PIP_Solution_Node::Tableau::Tableau(const Tableau& y)
- : s(y.s), t(y.t), denom(y.denom) {
- PPL_ASSERT(OK());
-}
-
-inline
-PIP_Solution_Node::Tableau::~Tableau() {
-}
-
-inline bool
-PIP_Solution_Node::Tableau::is_integer() const {
- return denom == 1;
-}
-
-inline Coefficient_traits::const_reference
-PIP_Solution_Node::Tableau::denominator() const {
- return denom;
-}
-
-inline
-PIP_Tree_Node::~PIP_Tree_Node() {
-}
-
-inline void
-PIP_Tree_Node::set_parent(const PIP_Decision_Node* p) {
- parent_ = p;
-}
-
-inline const PIP_Decision_Node*
-PIP_Tree_Node::parent() const {
- return parent_;
-}
-
-inline const PIP_Problem*
-PIP_Tree_Node::get_owner() const {
- return owner_;
-}
-
-inline const Constraint_System&
-PIP_Tree_Node::constraints() const {
- return constraints_;
-}
-
-inline PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
-PIP_Tree_Node::art_parameter_begin() const {
- return artificial_parameters.begin();
-}
-
-inline PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
-PIP_Tree_Node::art_parameter_end() const {
- return artificial_parameters.end();
-}
-
-inline dimension_type
-PIP_Tree_Node::art_parameter_count() const {
- return artificial_parameters.size();
-}
-
-inline
-const PIP_Tree_Node*
-PIP_Decision_Node::child_node(bool b) const {
- return b ? true_child : false_child;
-}
-
-inline
-PIP_Tree_Node*
-PIP_Decision_Node::child_node(bool b) {
- return b ? true_child : false_child;
-}
-
-inline
-PIP_Tree_Node::Artificial_Parameter::Artificial_Parameter()
- : Linear_Expression(), denom(1) {
- PPL_ASSERT(OK());
-}
-
-inline
-PIP_Tree_Node::Artificial_Parameter
-::Artificial_Parameter(const Artificial_Parameter& y)
- : Linear_Expression(y), denom(y.denom) {
- PPL_ASSERT(OK());
-}
-
-inline Coefficient_traits::const_reference
-PIP_Tree_Node::Artificial_Parameter::denominator() const {
- return denom;
-}
-
-inline void
-PIP_Tree_Node::Artificial_Parameter::m_swap(Artificial_Parameter& y) {
- Linear_Expression::m_swap(y);
- using std::swap;
- swap(denom, y.denom);
-}
-
-/*! \relates PIP_Tree_Node::Artificial_Parameter */
-inline void
-swap(PIP_Tree_Node::Artificial_Parameter& x,
- PIP_Tree_Node::Artificial_Parameter& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_PIP_Tree_inlines_hh)
diff --git a/src/PIP_Tree.types.hh b/src/PIP_Tree.types.hh
deleted file mode 100644
index b4a8f11..0000000
--- a/src/PIP_Tree.types.hh
+++ /dev/null
@@ -1,26 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_PIP_Tree_types_hh
-#define PPL_PIP_Tree_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class PIP_Tree_Node;
-class PIP_Solution_Node;
-class PIP_Decision_Node;
-
-typedef const PIP_Tree_Node* PIP_Tree;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_PIP_Tree_types_hh)
diff --git a/src/PIP_Tree_defs.hh b/src/PIP_Tree_defs.hh
new file mode 100644
index 0000000..c26d7eb
--- /dev/null
+++ b/src/PIP_Tree_defs.hh
@@ -0,0 +1,836 @@
+/* PIP_Tree_Node class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_PIP_Tree_defs_hh
+#define PPL_PIP_Tree_defs_hh 1
+
+#include "PIP_Tree_types.hh"
+#include "Variable_defs.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Constraint_defs.hh"
+#include "Variables_Set_defs.hh"
+#include "globals_defs.hh"
+#include "PIP_Problem_defs.hh"
+
+#include "Matrix_defs.hh"
+#include "Dense_Row_defs.hh"
+#include "Sparse_Row_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+//! A node of the PIP solution tree.
+/*!
+ This is the base class for the nodes of the binary trees representing
+ the solutions of PIP problems. From this one, two classes are derived:
+ - PIP_Decision_Node, for the internal nodes of the tree;
+ - PIP_Solution_Node, for the leaves of the tree.
+*/
+class PIP_Tree_Node {
+protected:
+ //! Constructor: builds a node owned by \p *owner.
+ explicit PIP_Tree_Node(const PIP_Problem* owner);
+
+ //! Copy constructor.
+ PIP_Tree_Node(const PIP_Tree_Node& y);
+
+ //! Returns a pointer to the PIP_Problem owning object.
+ const PIP_Problem* get_owner() const;
+
+ //! Sets the pointer to the PIP_Problem owning object.
+ virtual void set_owner(const PIP_Problem* owner) = 0;
+
+ /*! \brief
+ Returns \c true if and only if all the nodes in the subtree
+ rooted in \p *this are owned by \p *owner.
+ */
+ virtual bool check_ownership(const PIP_Problem* owner) const = 0;
+
+public:
+#if PPL_USE_SPARSE_MATRIX
+ typedef Sparse_Row Row;
+#else
+ typedef Dense_Row Row;
+#endif
+
+ //! Returns a pointer to a dynamically-allocated copy of \p *this.
+ virtual PIP_Tree_Node* clone() const = 0;
+
+ //! Destructor.
+ virtual ~PIP_Tree_Node();
+
+ //! Returns \c true if and only if \p *this is well formed.
+ virtual bool OK() const = 0;
+
+ //! Returns \p this if \p *this is a solution node, 0 otherwise.
+ virtual const PIP_Solution_Node* as_solution() const = 0;
+
+ //! Returns \p this if \p *this is a decision node, 0 otherwise.
+ virtual const PIP_Decision_Node* as_decision() const = 0;
+
+ /*! \brief
+ Returns the system of parameter constraints controlling \p *this.
+
+ The indices in the constraints are the same as the original variables and
+ parameters. Coefficients in indices corresponding to variables always are
+ zero.
+ */
+ const Constraint_System& constraints() const;
+
+ class Artificial_Parameter;
+
+ //! A type alias for a sequence of Artificial_Parameter's.
+ typedef std::vector<Artificial_Parameter> Artificial_Parameter_Sequence;
+
+ //! Returns a const_iterator to the beginning of local artificial parameters.
+ Artificial_Parameter_Sequence::const_iterator art_parameter_begin() const;
+
+ //! Returns a const_iterator to the end of local artificial parameters.
+ Artificial_Parameter_Sequence::const_iterator art_parameter_end() const;
+
+ //! Returns the number of local artificial parameters.
+ dimension_type art_parameter_count() const;
+
+ //! Prints on \p s the tree rooted in \p *this.
+ /*!
+ \param s
+ The output stream.
+
+ \param indent
+ The amount of indentation.
+ */
+ void print(std::ostream& s, int indent = 0) const;
+
+ //! Dumps to \p s an ASCII representation of \p *this.
+ void ascii_dump(std::ostream& s) const;
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ virtual memory_size_type total_memory_in_bytes() const = 0;
+ //! Returns the size in bytes of the memory managed by \p *this.
+ virtual memory_size_type external_memory_in_bytes() const = 0;
+
+protected:
+ //! A type alias for a sequence of constraints.
+ typedef std::vector<Constraint> Constraint_Sequence;
+
+ // Only PIP_Problem and PIP_Decision_Node are allowed to use the
+ // constructor and methods.
+ friend class PIP_Problem;
+ friend class PIP_Decision_Node;
+ friend class PIP_Solution_Node;
+
+ //! A pointer to the PIP_Problem object owning this node.
+ const PIP_Problem* owner_;
+
+ //! A pointer to the parent of \p *this, null if \p *this is the root.
+ const PIP_Decision_Node* parent_;
+
+ //! The local system of parameter constraints.
+ Constraint_System constraints_;
+
+ //! The local sequence of expressions for local artificial parameters.
+ Artificial_Parameter_Sequence artificial_parameters;
+
+ //! Returns a pointer to this node's parent.
+ const PIP_Decision_Node* parent() const;
+
+ //! Set this node's parent to \p *p.
+ void set_parent(const PIP_Decision_Node* p);
+
+ /*! \brief
+ Populates the parametric simplex tableau using external data.
+
+ \param pip
+ The PIP_Problem object containing this node.
+
+ \param external_space_dim
+ The number of all problem variables and problem parameters
+ (excluding artificial parameters).
+
+ \param first_pending_constraint
+ The first element in \p input_cs to be added to the tableau,
+ which already contains the previous elements.
+
+ \param input_cs
+ All the constraints of the PIP problem.
+
+ \param parameters
+ The set of indices of the problem parameters.
+ */
+ virtual void update_tableau(const PIP_Problem& pip,
+ dimension_type external_space_dim,
+ dimension_type first_pending_constraint,
+ const Constraint_Sequence& input_cs,
+ const Variables_Set& parameters) = 0;
+
+ /*! \brief
+ Executes a parametric simplex on the tableau, under specified context.
+
+ \return
+ The root of the PIP tree solution, or 0 if unfeasible.
+
+ \param pip
+ The PIP_Problem object containing this node.
+
+ \param check_feasible_context
+ Whether the resolution process should (re-)check feasibility of
+ context (since the initial context may have been modified).
+
+ \param context
+ The context, being a set of constraints on the parameters.
+
+ \param params
+ The local parameter set, including parent's artificial parameters.
+
+ \param space_dim
+ The space dimension of parent, including artificial parameters.
+
+ \param indent_level
+ The indentation level (for debugging output only).
+ */
+ virtual PIP_Tree_Node* solve(const PIP_Problem& pip,
+ bool check_feasible_context,
+ const Matrix<Row>& context,
+ const Variables_Set& params,
+ dimension_type space_dim,
+ int indent_level) = 0;
+
+ //! Inserts a new parametric constraint in internal row format.
+ void add_constraint(const Row& row, const Variables_Set& parameters);
+
+ //! Merges parent's artificial parameters into \p *this.
+ void parent_merge();
+
+ //! Prints on \p s the tree rooted in \p *this.
+ /*!
+ \param s
+ The output stream.
+
+ \param indent
+ The amount of indentation.
+
+ \param pip_dim_is_param
+ A vector of Boolean flags telling which PIP problem dimensions are
+ problem parameters. The size of the vector is equal to the PIP
+ problem internal space dimension (i.e., no artificial parameters).
+
+ \param first_art_dim
+ The first space dimension corresponding to an artificial parameter
+ that was created in this node (if any).
+ */
+ virtual void print_tree(std::ostream& s,
+ int indent,
+ const std::vector<bool>& pip_dim_is_param,
+ dimension_type first_art_dim) const = 0;
+
+ //! A helper function used when printing PIP trees.
+ static void
+ indent_and_print(std::ostream& s, int indent, const char* str);
+
+ /*! \brief
+ Checks whether a context matrix is satisfiable.
+
+ The satisfiability check is implemented by the revised dual simplex
+ algorithm on the context matrix. The algorithm ensures the feasible
+ solution is integer by applying a cut generation method when
+ intermediate non-integer solutions are found.
+ */
+ static bool compatibility_check(Matrix<Row>& s);
+
+ /*! \brief
+ Helper method: checks for satisfiability of the restricted context
+ obtained by adding \p row to \p context.
+ */
+ static bool compatibility_check(const Matrix<Row>& context, const Row& row);
+
+}; // class PIP_Tree_Node
+
+
+/*! \brief
+ Artificial parameters in PIP solution trees.
+
+ These parameters are built from a linear expression combining other
+ parameters (constant term included) divided by a positive integer
+ denominator. Coefficients at variables indices corresponding to
+ PIP problem variables are always zero.
+*/
+class PIP_Tree_Node::Artificial_Parameter
+ : public Linear_Expression {
+public:
+ //! Default constructor: builds a zero artificial parameter.
+ Artificial_Parameter();
+
+ //! Constructor.
+ /*!
+ Builds artificial parameter \f$\frac{\mathtt{expr}}{\mathtt{d}}\f$.
+
+ \param expr
+ The expression that, after normalization, will form the numerator of
+ the artificial parameter.
+
+ \param d
+ The integer constant that, after normalization, will form the
+ denominator of the artificial parameter.
+
+ \exception std::invalid_argument
+ Thrown if \p d is zero.
+
+ Normalization will ensure that the denominator is positive.
+ */
+ Artificial_Parameter(const Linear_Expression& expr,
+ Coefficient_traits::const_reference d);
+
+ //! Copy constructor.
+ Artificial_Parameter(const Artificial_Parameter& y);
+
+ //! Returns the normalized (i.e., positive) denominator.
+ Coefficient_traits::const_reference denominator() const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Artificial_Parameter& y);
+
+ //! Returns \c true if and only if \p *this and \p y are equal.
+ /*!
+ Note that two artificial parameters having different space dimensions
+ are considered to be different.
+ */
+ bool operator==(const Artificial_Parameter& y) const;
+ //! Returns \c true if and only if \p *this and \p y are different.
+ bool operator!=(const Artificial_Parameter& y) const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Returns \c true if and only if the parameter is well-formed.
+ bool OK() const;
+
+private:
+ //! The normalized (i.e., positive) denominator.
+ Coefficient denom;
+}; // class PIP_Tree_Node::Artificial_Parameter
+
+
+//! Swaps \p x with \p y.
+/*! \relates PIP_Tree_Node::Artificial_Parameter */
+void
+swap(PIP_Tree_Node::Artificial_Parameter& x,
+ PIP_Tree_Node::Artificial_Parameter& y);
+
+
+//! A tree node representing part of the space of solutions.
+class PIP_Solution_Node : public PIP_Tree_Node {
+public:
+
+ //! Constructor: builds a solution node owned by \p *owner.
+ explicit PIP_Solution_Node(const PIP_Problem* owner);
+
+ //! Returns a pointer to a dynamically-allocated copy of \p *this.
+ virtual PIP_Tree_Node* clone() const;
+
+ //! Destructor.
+ virtual ~PIP_Solution_Node();
+
+ //! Returns \c true if and only if \p *this is well formed.
+ virtual bool OK() const;
+
+ //! Returns \p this.
+ virtual const PIP_Solution_Node* as_solution() const;
+
+ //! Returns 0, since \p this is not a decision node.
+ virtual const PIP_Decision_Node* as_decision() const;
+
+ /*! \brief
+ Returns a parametric expression for the values of problem variable \p var.
+
+ The returned linear expression may involve problem parameters
+ as well as artificial parameters.
+
+ \param var
+ The problem variable which is queried about.
+
+ \exception std::invalid_argument
+ Thrown if \p var is dimension-incompatible with the PIP_Problem
+ owning this solution node, or if \p var is a problem parameter.
+ */
+ const Linear_Expression& parametric_values(Variable var) const;
+
+ //! Dumps to \p os an ASCII representation of \p *this.
+ void ascii_dump(std::ostream& os) const;
+
+ /*! \brief
+ Loads from \p is an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& is);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ virtual memory_size_type total_memory_in_bytes() const;
+ //! Returns the size in bytes of the memory managed by \p *this.
+ virtual memory_size_type external_memory_in_bytes() const;
+
+private:
+ //! The type for parametric simplex tableau.
+ struct Tableau {
+ //! The matrix of simplex coefficients.
+ Matrix<Row> s;
+ //! The matrix of parameter coefficients.
+ Matrix<Row> t;
+ //! A common denominator for all matrix elements
+ Coefficient denom;
+
+ //! Default constructor.
+ Tableau();
+ //! Copy constructor.
+ Tableau(const Tableau& y);
+ //! Destructor.
+ ~Tableau();
+
+ //! Tests whether the matrix is integer, i.e., the denominator is 1.
+ bool is_integer() const;
+
+ //! Multiplies all coefficients and denominator with ratio.
+ void scale(Coefficient_traits::const_reference ratio);
+
+ //! Normalizes the modulo of coefficients so that they are mutually prime.
+ /*!
+ Computes the Greatest Common Divisor (GCD) among the elements of
+ the matrices and normalizes them and the denominator by the GCD itself.
+ */
+ void normalize();
+
+ /*! \brief
+ Compares two pivot row and column pairs before pivoting.
+
+ The algorithm searches the first (ie, leftmost) column \f$k\f$ in
+ parameter matrix for which the \f$c=s_{*j}\frac{t_{ik}}{s_{ij}}\f$
+ and \f$c'=s_{*j'}\frac{t_{i'k}}{s_{i'j'}}\f$ columns are different,
+ where \f$s_{*j}\f$ denotes the \f$j\f$<sup>th</sup> column from the
+ \f$s\f$ matrix and \f$s_{*j'}\f$ is the \f$j'\f$<sup>th</sup> column
+ of \f$s\f$.
+
+ \f$c\f$ is the computed column that would be subtracted to column
+ \f$k\f$ in parameter matrix if pivoting is done using the \f$(i,j)\f$
+ row and column pair.
+ \f$c'\f$ is the computed column that would be subtracted to column
+ \f$k\f$ in parameter matrix if pivoting is done using the
+ \f$(i',j')\f$ row and column pair.
+
+ The test is true if the computed \f$-c\f$ column is lexicographically
+ bigger than the \f$-c'\f$ column. Due to the column ordering in the
+ parameter matrix of the tableau, leftmost search will enforce solution
+ increase with respect to the following priority order:
+ - the constant term
+ - the coefficients for the original parameters
+ - the coefficients for the oldest artificial parameters.
+
+ \return
+ \c true if pivot row and column pair \f$(i,j)\f$ is more
+ suitable for pivoting than the \f$(i',j')\f$ pair
+
+ \param mapping
+ The PIP_Solution_Node::mapping vector for the tableau.
+
+ \param basis
+ The PIP_Solution_Node::basis vector for the tableau.
+
+ \param row_0
+ The row number for the first pivot row and column pair to be compared.
+
+ \param col_0
+ The column number for the first pivot row and column pair to be
+ compared.
+
+ \param row_1
+ The row number for the second pivot row and column pair to be compared.
+
+ \param col_1
+ The column number for the second pivot row and column pair to be
+ compared.
+ */
+ bool is_better_pivot(const std::vector<dimension_type>& mapping,
+ const std::vector<bool>& basis,
+ const dimension_type row_0,
+ const dimension_type col_0,
+ const dimension_type row_1,
+ const dimension_type col_1) const;
+
+ //! Returns the value of the denominator.
+ Coefficient_traits::const_reference denominator() const;
+
+ //! Dumps to \p os an ASCII representation of \p *this.
+ void ascii_dump(std::ostream& os) const;
+
+ /*! \brief
+ Loads from \p is an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns \c true if successful, \c false otherwise.
+ */
+ bool ascii_load(std::istream& is);
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ \note
+ No need for a \c total_memory_in_bytes() method, since
+ class Tableau is a private inner class of PIP_Solution_Node.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Returns \c true if and only if \p *this is well formed.
+ bool OK() const;
+ }; // struct Tableau
+
+ //! The parametric simplex tableau.
+ Tableau tableau;
+
+ /*! \brief
+ A boolean vector for identifying the basic variables.
+
+ Variable identifiers are numbered from 0 to <CODE>n+m-1</CODE>, where \p n
+ is the number of columns in the simplex tableau corresponding to variables,
+ and \p m is the number of rows.
+
+ Indices from 0 to <CODE>n-1</CODE> correspond to the original variables.
+
+ Indices from \p n to <CODE>n+m-1</CODE> correspond to the slack variables
+ associated to the internal constraints, which do not strictly correspond
+ to original constraints, since these may have been transformed to fit the
+ standard form of the dual simplex.
+
+ The value for <CODE>basis[i]</CODE> is:
+ - \b true if variable \p i is basic,
+ - \b false if variable \p i is nonbasic.
+ */
+ std::vector<bool> basis;
+
+ /*! \brief
+ A mapping between the tableau rows/columns and the original variables.
+
+ The value of <CODE>mapping[i]</CODE> depends of the value of <CODE>basis[i]</CODE>.
+
+ - If <CODE>basis[i]</CODE> is \b true, <CODE>mapping[i]</CODE> encodes the column
+ index of variable \p i in the \p s matrix of the tableau.
+ - If <CODE>basis[i]</CODE> is \b false, <CODE>mapping[i]</CODE> encodes the row
+ index of variable \p i in the tableau.
+ */
+ std::vector<dimension_type> mapping;
+
+ /*! \brief
+ The variable identifiers associated to the rows of the simplex tableau.
+ */
+ std::vector<dimension_type> var_row;
+
+ /*! \brief
+ The variable identifiers associated to the columns of the simplex tableau.
+ */
+ std::vector<dimension_type> var_column;
+
+ /*! \brief
+ The variable number of the special inequality used for modeling
+ equality constraints.
+
+ The subset of equality constraints in a specific problem can be expressed
+ as: \f$f_i(x,p) = 0 ; 1 \leq i \leq n\f$. As the dual simplex standard form
+ requires constraints to be inequalities, the following constraints can be
+ modeled as follows:
+
+ - \f$f_i(x,p) \geq 0 ; 1 \leq i \leq n\f$
+
+ - \f$\sum\limits_{i=1}^n f_i(x,p) \leq 0\f$
+
+ The \p special_equality_row value stores the variable number of the
+ specific constraint which is used to model the latter sum of
+ constraints. If no such constraint exists, the value is set to \p 0.
+ */
+ dimension_type special_equality_row;
+
+ /*! \brief
+ The column index in the parametric part of the simplex tableau
+ corresponding to the big parameter; \c not_a_dimension() if not set.
+ */
+ dimension_type big_dimension;
+
+ //! The possible values for the sign of a parametric linear expression.
+ enum Row_Sign {
+ //! Not computed yet (default).
+ UNKNOWN,
+ //! All row coefficients are zero.
+ ZERO,
+ //! All nonzero row coefficients are positive.
+ POSITIVE,
+ //! All nonzero row coefficients are negative.
+ NEGATIVE,
+ //! The row contains both positive and negative coefficients.
+ MIXED
+ };
+
+ //! A cache for computed sign values of constraint parametric RHS.
+ std::vector<Row_Sign> sign;
+
+ //! Parametric values for the solution.
+ std::vector<Linear_Expression> solution;
+
+ //! An indicator for solution validity.
+ bool solution_valid;
+
+ //! Returns the sign of row \p x.
+ static Row_Sign row_sign(const Row& x,
+ dimension_type big_dimension);
+
+protected:
+ //! Copy constructor.
+ PIP_Solution_Node(const PIP_Solution_Node& y);
+
+ //! A tag type to select the alternative copy constructor.
+ struct No_Constraints {};
+
+ //! Alternative copy constructor.
+ /*!
+ This constructor differs from the default copy constructor in that
+ it will not copy the constraint system, nor the artificial parameters.
+ */
+ PIP_Solution_Node(const PIP_Solution_Node& y, No_Constraints);
+
+ // PIP_Problem::ascii load() method needs access set_owner().
+ friend bool PIP_Problem::ascii_load(std::istream& s);
+
+ //! Sets the pointer to the PIP_Problem owning object.
+ virtual void set_owner(const PIP_Problem* owner);
+
+ /*! \brief
+ Returns \c true if and only if all the nodes in the subtree
+ rooted in \p *this is owned by \p *pip.
+ */
+ virtual bool check_ownership(const PIP_Problem* owner) const;
+
+ //! Implements pure virtual method PIP_Tree_Node::update_tableau.
+ virtual void update_tableau(const PIP_Problem& pip,
+ dimension_type external_space_dim,
+ dimension_type first_pending_constraint,
+ const Constraint_Sequence& input_cs,
+ const Variables_Set& parameters);
+
+ /*! \brief
+ Update the solution values.
+
+ \param pip_dim_is_param
+ A vector of Boolean flags telling which PIP problem dimensions are
+ problem parameters. The size of the vector is equal to the PIP
+ problem internal space dimension (i.e., no artificial parameters).
+ */
+ void update_solution(const std::vector<bool>& pip_dim_is_param) const;
+
+ //! Helper method.
+ void update_solution() const;
+
+ //! Implements pure virtual method PIP_Tree_Node::solve.
+ virtual PIP_Tree_Node* solve(const PIP_Problem& pip,
+ bool check_feasible_context,
+ const Matrix<Row>& context,
+ const Variables_Set& params,
+ dimension_type space_dim,
+ int indent_level);
+
+ /*! \brief
+ Generate a Gomory cut using non-integer tableau row \p index.
+
+ \param index
+ Row index in simplex tableau from which the cut is generated.
+
+ \param parameters
+ A std::set of the current parameter dimensions (including artificials);
+ to be updated if a new artificial parameter is to be created.
+
+ \param context
+ A set of linear inequalities on the parameters, in matrix form; to be
+ updated if a new artificial parameter is to be created.
+
+ \param space_dimension
+ The current space dimension, including variables and all parameters; to
+ be updated if an extra parameter is to be created.
+
+ \param indent_level
+ The indentation level (for debugging output only).
+ */
+ void generate_cut(dimension_type index, Variables_Set& parameters,
+ Matrix<Row>& context, dimension_type& space_dimension,
+ int indent_level);
+
+ //! Prints on \p s the tree rooted in \p *this.
+ virtual void print_tree(std::ostream& s, int indent,
+ const std::vector<bool>& pip_dim_is_param,
+ dimension_type first_art_dim) const;
+
+}; // class PIP_Solution_Node
+
+
+//! A tree node representing a decision in the space of solutions.
+class PIP_Decision_Node : public PIP_Tree_Node {
+public:
+ //! Returns a pointer to a dynamically-allocated copy of \p *this.
+ virtual PIP_Tree_Node* clone() const;
+
+ //! Destructor.
+ virtual ~PIP_Decision_Node();
+
+ //! Returns \c true if and only if \p *this is well formed.
+ virtual bool OK() const;
+
+ //! Returns \p this.
+ virtual const PIP_Decision_Node* as_decision() const;
+
+ //! Returns 0, since \p this is not a solution node.
+ virtual const PIP_Solution_Node* as_solution() const;
+
+ //! Returns a const pointer to the \p b (true or false) branch of \p *this.
+ const PIP_Tree_Node* child_node(bool b) const;
+
+ //! Returns a pointer to the \p b (true or false) branch of \p *this.
+ PIP_Tree_Node* child_node(bool b);
+
+ //! Dumps to \p s an ASCII representation of \p *this.
+ void ascii_dump(std::ostream& s) const;
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ virtual memory_size_type total_memory_in_bytes() const;
+ //! Returns the size in bytes of the memory managed by \p *this.
+ virtual memory_size_type external_memory_in_bytes() const;
+
+private:
+ // PIP_Solution_Node is allowed to use the constructor and methods.
+ friend class PIP_Solution_Node;
+
+ // PIP_Problem ascii load method needs access to private constructors.
+ friend bool PIP_Problem::ascii_load(std::istream& s);
+
+ //! Pointer to the "false" child of \p *this.
+ PIP_Tree_Node* false_child;
+
+ //! Pointer to the "true" child of \p *this.
+ PIP_Tree_Node* true_child;
+
+ /*! \brief
+ Builds a decision node having \p fcp and \p tcp as child.
+
+ The decision node will encode the structure
+ "if \c cs then \p tcp else \p fcp",
+ where the system of constraints \c cs is initially empty.
+
+ \param owner
+ Pointer to the owning PIP_Problem object; it may be null if and
+ only if both children are null.
+
+ \param fcp
+ Pointer to "false" child; it may be null.
+
+ \param tcp
+ Pointer to "true" child; it may be null.
+
+ \note
+ If any of \p fcp or \p tcp is not null, then \p owner is required
+ to be not null and equal to the owner of its non-null children;
+ otherwise the behavior is undefined.
+ */
+ explicit PIP_Decision_Node(const PIP_Problem* owner,
+ PIP_Tree_Node* fcp,
+ PIP_Tree_Node* tcp);
+
+ //! Sets the pointer to the PIP_Problem owning object.
+ virtual void set_owner(const PIP_Problem* owner);
+
+ /*! \brief
+ Returns \c true if and only if all the nodes in the subtree
+ rooted in \p *this is owned by \p *pip.
+ */
+ virtual bool check_ownership(const PIP_Problem* owner) const;
+
+protected:
+ //! Copy constructor.
+ PIP_Decision_Node(const PIP_Decision_Node& y);
+
+ //! Implements pure virtual method PIP_Tree_Node::update_tableau.
+ virtual void update_tableau(const PIP_Problem& pip,
+ dimension_type external_space_dim,
+ dimension_type first_pending_constraint,
+ const Constraint_Sequence& input_cs,
+ const Variables_Set& parameters);
+
+ //! Implements pure virtual method PIP_Tree_Node::solve.
+ virtual PIP_Tree_Node* solve(const PIP_Problem& pip,
+ bool check_feasible_context,
+ const Matrix<Row>& context,
+ const Variables_Set& params,
+ dimension_type space_dim,
+ int indent_level);
+
+ //! Prints on \p s the tree rooted in \p *this.
+ virtual void print_tree(std::ostream& s, int indent,
+ const std::vector<bool>& pip_dim_is_param,
+ dimension_type first_art_dim) const;
+
+}; // class PIP_Decision_Node
+
+namespace IO_Operators {
+
+//! Output operator: prints the solution tree rooted in \p x.
+/*! \relates Parma_Polyhedra_Library::PIP_Tree_Node */
+std::ostream& operator<<(std::ostream& os, const PIP_Tree_Node& x);
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::PIP_Tree_Node::Artificial_Parameter */
+std::ostream& operator<<(std::ostream& os,
+ const PIP_Tree_Node::Artificial_Parameter& x);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+#include "PIP_Tree_inlines.hh"
+
+#endif // !defined(PPL_PIP_Tree_defs_hh)
diff --git a/src/PIP_Tree_inlines.hh b/src/PIP_Tree_inlines.hh
new file mode 100644
index 0000000..6e666d9
--- /dev/null
+++ b/src/PIP_Tree_inlines.hh
@@ -0,0 +1,140 @@
+/* PIP_Tree related class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_PIP_Tree_inlines_hh
+#define PPL_PIP_Tree_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+PIP_Solution_Node::Tableau::Tableau()
+ : s(), t(), denom(1) {
+ PPL_ASSERT(OK());
+}
+
+inline
+PIP_Solution_Node::Tableau::Tableau(const Tableau& y)
+ : s(y.s), t(y.t), denom(y.denom) {
+ PPL_ASSERT(OK());
+}
+
+inline
+PIP_Solution_Node::Tableau::~Tableau() {
+}
+
+inline bool
+PIP_Solution_Node::Tableau::is_integer() const {
+ return denom == 1;
+}
+
+inline Coefficient_traits::const_reference
+PIP_Solution_Node::Tableau::denominator() const {
+ return denom;
+}
+
+inline
+PIP_Tree_Node::~PIP_Tree_Node() {
+}
+
+inline void
+PIP_Tree_Node::set_parent(const PIP_Decision_Node* p) {
+ parent_ = p;
+}
+
+inline const PIP_Decision_Node*
+PIP_Tree_Node::parent() const {
+ return parent_;
+}
+
+inline const PIP_Problem*
+PIP_Tree_Node::get_owner() const {
+ return owner_;
+}
+
+inline const Constraint_System&
+PIP_Tree_Node::constraints() const {
+ return constraints_;
+}
+
+inline PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
+PIP_Tree_Node::art_parameter_begin() const {
+ return artificial_parameters.begin();
+}
+
+inline PIP_Tree_Node::Artificial_Parameter_Sequence::const_iterator
+PIP_Tree_Node::art_parameter_end() const {
+ return artificial_parameters.end();
+}
+
+inline dimension_type
+PIP_Tree_Node::art_parameter_count() const {
+ return artificial_parameters.size();
+}
+
+inline
+const PIP_Tree_Node*
+PIP_Decision_Node::child_node(bool b) const {
+ return b ? true_child : false_child;
+}
+
+inline
+PIP_Tree_Node*
+PIP_Decision_Node::child_node(bool b) {
+ return b ? true_child : false_child;
+}
+
+inline
+PIP_Tree_Node::Artificial_Parameter::Artificial_Parameter()
+ : Linear_Expression(), denom(1) {
+ PPL_ASSERT(OK());
+}
+
+inline
+PIP_Tree_Node::Artificial_Parameter
+::Artificial_Parameter(const Artificial_Parameter& y)
+ : Linear_Expression(y), denom(y.denom) {
+ PPL_ASSERT(OK());
+}
+
+inline Coefficient_traits::const_reference
+PIP_Tree_Node::Artificial_Parameter::denominator() const {
+ return denom;
+}
+
+inline void
+PIP_Tree_Node::Artificial_Parameter::m_swap(Artificial_Parameter& y) {
+ Linear_Expression::m_swap(y);
+ using std::swap;
+ swap(denom, y.denom);
+}
+
+/*! \relates PIP_Tree_Node::Artificial_Parameter */
+inline void
+swap(PIP_Tree_Node::Artificial_Parameter& x,
+ PIP_Tree_Node::Artificial_Parameter& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_PIP_Tree_inlines_hh)
diff --git a/src/PIP_Tree_types.hh b/src/PIP_Tree_types.hh
new file mode 100644
index 0000000..2eb61ad
--- /dev/null
+++ b/src/PIP_Tree_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_PIP_Tree_types_hh
+#define PPL_PIP_Tree_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class PIP_Tree_Node;
+class PIP_Solution_Node;
+class PIP_Decision_Node;
+
+typedef const PIP_Tree_Node* PIP_Tree;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_PIP_Tree_types_hh)
diff --git a/src/Partial_Function.cc b/src/Partial_Function.cc
index 81a62f1..b20e036 100644
--- a/src/Partial_Function.cc
+++ b/src/Partial_Function.cc
@@ -1,6 +1,6 @@
/* Implementation of class Partial_Function (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Partial_Function.defs.hh"
-#include "Variable.defs.hh"
+#include "Partial_Function_defs.hh"
+#include "Variable_defs.hh"
#include <iostream>
namespace Parma_Polyhedra_Library {
diff --git a/src/Partial_Function.defs.hh b/src/Partial_Function.defs.hh
deleted file mode 100644
index e66d87e..0000000
--- a/src/Partial_Function.defs.hh
+++ /dev/null
@@ -1,87 +0,0 @@
-/* Partial_Function class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Partial_Function_defs_hh
-#define PPL_Partial_Function_defs_hh 1
-
-#include "Partial_Function.types.hh"
-#include "globals.defs.hh"
-#include <vector>
-#ifndef NDEBUG
-#include <set>
-#endif
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-class Partial_Function {
-public:
- /*! \brief
- Default constructor: builds a function with empty codomain
- (i.e., always undefined).
- */
- Partial_Function();
-
- /*! \brief
- Returns \c true if and only if the represented partial function
- has an empty codomain (i.e., it is always undefined).
- */
- bool has_empty_codomain() const;
-
- /*! \brief
- If the codomain is \e not empty, returns the maximum value in it.
-
- \exception std::runtime_error
- Thrown if called when \p *this has an empty codomain.
- */
- dimension_type max_in_codomain() const;
-
- /*! \brief
- If \p *this maps \p i to a value \c k, assigns \c k to \p j and
- returns \c true; otherwise, \p j is unchanged and \c false is returned.
- */
- bool maps(dimension_type i, dimension_type& j) const;
-
- void print(std::ostream& s) const;
-
- /*! \brief
- Modifies \p *this so that \p i is mapped to \p j.
-
- \exception std::runtime_error
- Thrown if \p *this is already mapping \p j.
- */
- void insert(dimension_type i, dimension_type j);
-
-private:
- std::vector<dimension_type> vec;
- dimension_type max;
-#ifndef NDEBUG
- std::set<dimension_type> codomain;
-#endif
-}; // class Partial_Function
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Partial_Function.inlines.hh"
-
-#endif // !defined(PPL_Partial_Function_defs_hh)
diff --git a/src/Partial_Function.inlines.hh b/src/Partial_Function.inlines.hh
deleted file mode 100644
index 51d74c0..0000000
--- a/src/Partial_Function.inlines.hh
+++ /dev/null
@@ -1,90 +0,0 @@
-/* Partial_Function class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Partial_Function_inlines_hh
-#define PPL_Partial_Function_inlines_hh 1
-
-#include <stdexcept>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Partial_Function::Partial_Function()
- : max(0) {
-}
-
-inline bool
-Partial_Function::has_empty_codomain() const {
- PPL_ASSERT(vec.empty() == codomain.empty());
- return vec.empty();
-}
-
-inline dimension_type
-Partial_Function::max_in_codomain() const {
- if (has_empty_codomain())
- throw std::runtime_error("Partial_Function::max_in_codomain() called"
- " when has_empty_codomain()");
- PPL_ASSERT(codomain.begin() != codomain.end()
- && max == *codomain.rbegin());
- return max;
-}
-
-inline void
-Partial_Function::insert(dimension_type i, dimension_type j) {
-#ifndef NDEBUG
- // The partial function has to be an injective map.
- std::pair<std::set<dimension_type>::iterator, bool> s = codomain.insert(j);
- PPL_ASSERT(s.second);
-#endif // #ifndef NDEBUG
-
- // Expand `vec' if needed.
- const dimension_type sz = vec.size();
- if (i >= sz)
- vec.insert(vec.end(), i - sz + 1, not_a_dimension());
-
- // We cannot remap the same index to another one.
- PPL_ASSERT(i < vec.size() && vec[i] == not_a_dimension());
- vec[i] = j;
-
- // Maybe update `max'.
- if (j > max)
- max = j;
- PPL_ASSERT(codomain.begin() != codomain.end()
- && max == *codomain.rbegin());
-}
-
-inline bool
-Partial_Function::maps(dimension_type i, dimension_type& j) const {
- if (i >= vec.size())
- return false;
- dimension_type vec_i = vec[i];
- if (vec_i == not_a_dimension())
- return false;
- j = vec_i;
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Partial_Function_inlines_hh)
diff --git a/src/Partial_Function.types.hh b/src/Partial_Function.types.hh
deleted file mode 100644
index ab1e5f9..0000000
--- a/src/Partial_Function.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Partial_Function_types_hh
-#define PPL_Partial_Function_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Partial_Function;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Partial_Function_types_hh)
diff --git a/src/Partial_Function_defs.hh b/src/Partial_Function_defs.hh
new file mode 100644
index 0000000..a621eef
--- /dev/null
+++ b/src/Partial_Function_defs.hh
@@ -0,0 +1,87 @@
+/* Partial_Function class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Partial_Function_defs_hh
+#define PPL_Partial_Function_defs_hh 1
+
+#include "Partial_Function_types.hh"
+#include "globals_defs.hh"
+#include <vector>
+#ifndef NDEBUG
+#include <set>
+#endif
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+class Partial_Function {
+public:
+ /*! \brief
+ Default constructor: builds a function with empty codomain
+ (i.e., always undefined).
+ */
+ Partial_Function();
+
+ /*! \brief
+ Returns \c true if and only if the represented partial function
+ has an empty codomain (i.e., it is always undefined).
+ */
+ bool has_empty_codomain() const;
+
+ /*! \brief
+ If the codomain is \e not empty, returns the maximum value in it.
+
+ \exception std::runtime_error
+ Thrown if called when \p *this has an empty codomain.
+ */
+ dimension_type max_in_codomain() const;
+
+ /*! \brief
+ If \p *this maps \p i to a value \c k, assigns \c k to \p j and
+ returns \c true; otherwise, \p j is unchanged and \c false is returned.
+ */
+ bool maps(dimension_type i, dimension_type& j) const;
+
+ void print(std::ostream& s) const;
+
+ /*! \brief
+ Modifies \p *this so that \p i is mapped to \p j.
+
+ \exception std::runtime_error
+ Thrown if \p *this is already mapping \p j.
+ */
+ void insert(dimension_type i, dimension_type j);
+
+private:
+ std::vector<dimension_type> vec;
+ dimension_type max;
+#ifndef NDEBUG
+ std::set<dimension_type> codomain;
+#endif
+}; // class Partial_Function
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Partial_Function_inlines.hh"
+
+#endif // !defined(PPL_Partial_Function_defs_hh)
diff --git a/src/Partial_Function_inlines.hh b/src/Partial_Function_inlines.hh
new file mode 100644
index 0000000..03fa44f
--- /dev/null
+++ b/src/Partial_Function_inlines.hh
@@ -0,0 +1,90 @@
+/* Partial_Function class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Partial_Function_inlines_hh
+#define PPL_Partial_Function_inlines_hh 1
+
+#include <stdexcept>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Partial_Function::Partial_Function()
+ : max(0) {
+}
+
+inline bool
+Partial_Function::has_empty_codomain() const {
+ PPL_ASSERT(vec.empty() == codomain.empty());
+ return vec.empty();
+}
+
+inline dimension_type
+Partial_Function::max_in_codomain() const {
+ if (has_empty_codomain())
+ throw std::runtime_error("Partial_Function::max_in_codomain() called"
+ " when has_empty_codomain()");
+ PPL_ASSERT(codomain.begin() != codomain.end()
+ && max == *codomain.rbegin());
+ return max;
+}
+
+inline void
+Partial_Function::insert(dimension_type i, dimension_type j) {
+#ifndef NDEBUG
+ // The partial function has to be an injective map.
+ std::pair<std::set<dimension_type>::iterator, bool> s = codomain.insert(j);
+ PPL_ASSERT(s.second);
+#endif // #ifndef NDEBUG
+
+ // Expand `vec' if needed.
+ const dimension_type sz = vec.size();
+ if (i >= sz)
+ vec.insert(vec.end(), i - sz + 1, not_a_dimension());
+
+ // We cannot remap the same index to another one.
+ PPL_ASSERT(i < vec.size() && vec[i] == not_a_dimension());
+ vec[i] = j;
+
+ // Maybe update `max'.
+ if (j > max)
+ max = j;
+ PPL_ASSERT(codomain.begin() != codomain.end()
+ && max == *codomain.rbegin());
+}
+
+inline bool
+Partial_Function::maps(dimension_type i, dimension_type& j) const {
+ if (i >= vec.size())
+ return false;
+ const dimension_type vec_i = vec[i];
+ if (vec_i == not_a_dimension())
+ return false;
+ j = vec_i;
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Partial_Function_inlines_hh)
diff --git a/src/Partial_Function_types.hh b/src/Partial_Function_types.hh
new file mode 100644
index 0000000..647d135
--- /dev/null
+++ b/src/Partial_Function_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Partial_Function_types_hh
+#define PPL_Partial_Function_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Partial_Function;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Partial_Function_types_hh)
diff --git a/src/Partially_Reduced_Product.defs.hh b/src/Partially_Reduced_Product.defs.hh
deleted file mode 100644
index 885f158..0000000
--- a/src/Partially_Reduced_Product.defs.hh
+++ /dev/null
@@ -1,1689 +0,0 @@
-/* Partially_Reduced_Product class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Partially_Reduced_Product_defs_hh
-#define PPL_Partially_Reduced_Product_defs_hh 1
-
-#include "Partially_Reduced_Product.types.hh"
-#include "globals.types.hh"
-#include "Coefficient.defs.hh"
-#include "Variable.types.hh"
-#include "Variables_Set.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint.types.hh"
-#include "Generator.types.hh"
-#include "Congruence.types.hh"
-#include "Grid_Generator.types.hh"
-#include "Constraint_System.types.hh"
-#include "Generator_System.types.hh"
-#include "Congruence_System.types.hh"
-#include "Grid_Generator_System.types.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "C_Polyhedron.types.hh"
-#include "NNC_Polyhedron.types.hh"
-#include "Grid.types.hh"
-#include "Box.types.hh"
-#include "BD_Shape.types.hh"
-#include "Octagonal_Shape.types.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Partially_Reduced_Product
- Writes a textual representation of \p dp on \p s.
-*/
-template <typename D1, typename D2, typename R>
-std::ostream&
-operator<<(std::ostream& s, const Partially_Reduced_Product<D1, D2, R>& dp);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Partially_Reduced_Product */
-template <typename D1, typename D2, typename R>
-void swap(Partially_Reduced_Product<D1, D2, R>& x,
- Partially_Reduced_Product<D1, D2, R>& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if the components of \p x and \p y
- are pairwise equal.
-
- \relates Partially_Reduced_Product
- Note that \p x and \p y may be dimension-incompatible: in
- those cases, the value <CODE>false</CODE> is returned.
-*/
-template <typename D1, typename D2, typename R>
-bool operator==(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if the components of \p x and \p y
- are not pairwise equal.
-
- \relates Partially_Reduced_Product
- Note that \p x and \p y may be dimension-incompatible: in
- those cases, the value <CODE>true</CODE> is returned.
-*/
-template <typename D1, typename D2, typename R>
-bool operator!=(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y);
-
-} // namespace Parma_Polyhedra_Library
-
-
-/*! \brief
- This class provides the reduction method for the Smash_Product
- domain.
-
- \ingroup PPL_CXX_interface
- The reduction classes are used to instantiate the Partially_Reduced_Product
- domain. This class propagates emptiness between its components.
-*/
-template <typename D1, typename D2>
-class Parma_Polyhedra_Library::Smash_Reduction {
-public:
- //! Default constructor.
- Smash_Reduction();
-
- /*! \brief
- The smash reduction operator for propagating emptiness between the
- domain elements \p d1 and \p d2.
-
- If either of the the domain elements \p d1 or \p d2 is empty
- then the other is also set empty.
-
- \param d1
- A pointset domain element;
-
- \param d2
- A pointset domain element;
- */
- void product_reduce(D1& d1, D2& d2);
-
- //! Destructor.
- ~Smash_Reduction();
-};
-
-/*! \brief
- This class provides the reduction method for the Constraints_Product
- domain.
-
- \ingroup PPL_CXX_interface
- The reduction classes are used to instantiate the Partially_Reduced_Product
- domain. This class adds the constraints defining each of the component
- domains to the other component.
-*/
-template <typename D1, typename D2>
-class Parma_Polyhedra_Library::Constraints_Reduction {
-public:
- //! Default constructor.
- Constraints_Reduction();
-
- /*! \brief
- The constraints reduction operator for sharing constraints between the
- domains.
-
- The minimized constraint system defining the domain element \p d1
- is added to \p d2 and the minimized constraint system defining \p d2
- is added to \p d1.
- In each case, the donor domain must provide a constraint system
- in minimal form; this must define a polyhedron in which the
- donor element is contained.
- The recipient domain selects a subset of these constraints
- that it can add to the recipient element.
- For example: if the domain \p D1 is the Grid domain and \p D2
- the NNC Polyhedron domain, then only the equality constraints are copied
- from \p d1 to \p d2 and from \p d2 to \p d1.
-
- \param d1
- A pointset domain element;
-
- \param d2
- A pointset domain element;
- */
- void product_reduce(D1& d1, D2& d2);
-
- //! Destructor.
- ~Constraints_Reduction();
-};
-
-/*! \brief
- This class provides the reduction method for the Congruences_Product
- domain.
-
- \ingroup PPL_CXX_interface
- The reduction classes are used to instantiate the Partially_Reduced_Product
- domain.
-
- This class uses the minimized congruences defining each of the components.
- For each of the congruences, it checks if the other component
- intersects none, one or more than one hyperplane defined by the congruence
- and adds equalities or emptiness as appropriate; in more detail:
- Letting the components be d1 and d2, then, for each congruence cg
- representing d1:
- - if more than one hyperplane defined by cg intersects
- d2, then d1 and d2 are unchanged;
- - if exactly one hyperplane intersects d2, then d1 and d2 are
- refined with the corresponding equality ;
- - otherwise, d1 and d2 are set to empty.
- Unless d1 and d2 are already empty, the process is repeated where the
- roles of d1 and d2 are reversed.
- If d1 or d2 is empty, then the emptiness is propagated.
-
-*/
-template <typename D1, typename D2>
-class Parma_Polyhedra_Library::Congruences_Reduction {
-public:
- //! Default constructor.
- Congruences_Reduction();
-
- /*! \brief
- The congruences reduction operator for detect emptiness or any equalities
- implied by each of the congruences defining one of the components
- and the bounds of the other component. It is assumed that the
- components are already constraints reduced.
-
- The minimized congruence system defining the domain element \p d1
- is used to check if \p d2 intersects none, one or more than one
- of the hyperplanes defined by the congruences: if it intersects none,
- then product is set empty; if it intersects one, then the equality
- defining this hyperplane is added to both components; otherwise,
- the product is unchanged.
- In each case, the donor domain must provide a congruence system
- in minimal form.
-
- \param d1
- A pointset domain element;
-
- \param d2
- A pointset domain element;
- */
- void product_reduce(D1& d1, D2& d2);
-
- //! Destructor.
- ~Congruences_Reduction();
-};
-
-/*! \brief
- This class provides the reduction method for the Shape_Preserving_Product
- domain.
-
- \ingroup PPL_CXX_interface
- The reduction classes are used to instantiate the Partially_Reduced_Product
- domain.
-
- This reduction method includes the congruences reduction.
- This class uses the minimized constraints defining each of the components.
- For each of the constraints, it checks the frequency and value for the same
- linear expression in the other component. If the constraint does not satisfy
- the implied congruence, the inhomogeneous term is adjusted so that it does.
- Note that, unless the congruences reduction adds equalities, the
- shapes of the domains are unaltered.
-
-*/
-template <typename D1, typename D2>
-class Parma_Polyhedra_Library::Shape_Preserving_Reduction {
-public:
- //! Default constructor.
- Shape_Preserving_Reduction();
-
- /*! \brief
- The congruences reduction operator for detect emptiness or any equalities
- implied by each of the congruences defining one of the components
- and the bounds of the other component. It is assumed that the
- components are already constraints reduced.
-
- The minimized congruence system defining the domain element \p d1
- is used to check if \p d2 intersects none, one or more than one
- of the hyperplanes defined by the congruences: if it intersects none,
- then product is set empty; if it intersects one, then the equality
- defining this hyperplane is added to both components; otherwise,
- the product is unchanged.
- In each case, the donor domain must provide a congruence system
- in minimal form.
-
- \param d1
- A pointset domain element;
-
- \param d2
- A pointset domain element;
- */
- void product_reduce(D1& d1, D2& d2);
-
- //! Destructor.
- ~Shape_Preserving_Reduction();
-};
-
-/*! \brief
- This class provides the reduction method for the Direct_Product domain.
-
- \ingroup PPL_CXX_interface
- The reduction classes are used to instantiate the Partially_Reduced_Product
- domain template parameter \p R. This class does no reduction at all.
-*/
-template <typename D1, typename D2>
-class Parma_Polyhedra_Library::No_Reduction {
-public:
- //! Default constructor.
- No_Reduction();
-
- /*! \brief
- The null reduction operator.
-
- The parameters \p d1 and \p d2 are ignored.
- */
- void product_reduce(D1& d1, D2& d2);
-
- //! Destructor.
- ~No_Reduction();
-};
-
-//! The partially reduced product of two abstractions.
-/*! \ingroup PPL_CXX_interface
-
- \warning
- At present, the supported instantiations for the
- two domain templates \p D1 and \p D2 are the simple pointset domains:
- <CODE>C_Polyhedron</CODE>,
- <CODE>NNC_Polyhedron</CODE>,
- <CODE>Grid</CODE>,
- <CODE>Octagonal_Shape<T></CODE>,
- <CODE>BD_Shape<T></CODE>,
- <CODE>Box<T></CODE>.
-
- An object of the class <CODE>Partially_Reduced_Product<D1, D2, R></CODE>
- represents the (partially reduced) product of two pointset domains \p D1
- and \p D2 where the form of any reduction is defined by the
- reduction class \p R.
-
- Suppose \f$D_1\f$ and \f$D_2\f$ are two abstract domains
- with concretization functions:
- \f$\fund{\gamma_1}{D_1}{\Rset^n}\f$ and
- \f$\fund{\gamma_2}{D_2}{\Rset^n}\f$, respectively.
-
- The partially reduced product \f$D = D_1 \times D_2\f$,
- for any reduction class \p R, has a concretization
- \f$\fund{\gamma}{D}{\Rset^n}\f$
- where, if \f$d = (d_1, d_2) \in D\f$
- \f[
- \gamma(d) = \gamma_1(d_1) \inters \gamma_2(d_2).
- \f]
-
- The operations are defined to be the result of applying the corresponding
- operations on each of the components provided the product is already reduced
- by the reduction method defined by \p R.
- In particular, if \p R is the <CODE>No_Reduction<D1, D2></CODE> class,
- then the class <CODE>Partially_Reduced_Product<D1, D2, R></CODE> domain
- is the direct product as defined in \ref CC79 "[CC79]".
-
- How the results on the components are interpreted and
- combined depend on the specific test.
- For example, the test for emptiness will first make sure
- the product is reduced (using the reduction method provided by \p R
- if it is not already known to be reduced) and then test if either component
- is empty; thus, if \p R defines no reduction between its components and
- \f$d = (G, P) \in (\Gset \times \Pset)\f$
- is a direct product in one dimension where \f$G\f$ denotes the set of
- numbers that are integral multiples of 3 while \f$P\f$ denotes the
- set of numbers between 1 and 2, then an operation that tests for
- emptiness should return false.
- However, the test for the universe returns true if and only if the
- test <CODE>is_universe()</CODE> on both components returns true.
-
- \par
- In all the examples it is assumed that the template \c R is the
- <CODE>No_Reduction<D1, D2></CODE> class and that variables
- \c x and \c y are defined (where they are used) as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code builds a direct product of a Grid and NNC Polyhedron,
- corresponding to the positive even integer
- pairs in \f$\Rset^2\f$, given as a system of congruences:
- \code
- Congruence_System cgs;
- cgs.insert((x %= 0) / 2);
- cgs.insert((y %= 0) / 2);
- Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> >
- dp(cgs);
- dp.add_constraint(x >= 0);
- dp.add_constraint(y >= 0);
- \endcode
-
- \par Example 2
- The following code builds the same product
- in \f$\Rset^2\f$:
- \code
- Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> > dp(2);
- dp.add_constraint(x >= 0);
- dp.add_constraint(y >= 0);
- dp.add_congruence((x %= 0) / 2);
- dp.add_congruence((y %= 0) / 2);
- \endcode
-
- \par Example 3
- The following code will write "dp is empty":
- \code
- Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> > dp(1);
- dp.add_congruence((x %= 0) / 2);
- dp.add_congruence((x %= 1) / 2);
- if (dp.is_empty())
- cout << "dp is empty." << endl;
- else
- cout << "dp is not empty." << endl;
- \endcode
-
- \par Example 4
- The following code will write "dp is not empty":
- \code
- Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> > dp(1);
- dp.add_congruence((x %= 0) / 2);
- dp.add_constraint(x >= 1);
- dp.add_constraint(x <= 1);
- if (dp.is_empty())
- cout << "dp is empty." << endl;
- else
- cout << "dp is not empty." << endl;
- \endcode
-*/
-
-template <typename D1, typename D2, typename R>
-class Parma_Polyhedra_Library::Partially_Reduced_Product {
-public:
- /*! \brief
- Returns the maximum space dimension this product
- can handle.
- */
- static dimension_type max_space_dimension();
-
- //! Builds an object having the specified properties.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the pair;
-
- \param kind
- Specifies whether a universe or an empty pair has to be built.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Partially_Reduced_Product(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Builds a pair, copying a system of congruences.
- /*!
- The pair inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences to be approximated by the pair.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Partially_Reduced_Product(const Congruence_System& cgs);
-
- //! Builds a pair, recycling a system of congruences.
- /*!
- The pair inherits the space dimension of the congruence system.
-
- \param cgs
- The system of congruences to be approximates by the pair.
- Its data-structures may be recycled to build the pair.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Partially_Reduced_Product(Congruence_System& cgs);
-
- //! Builds a pair, copying a system of constraints.
- /*!
- The pair inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints to be approximated by the pair.
-
- \exception std::length_error
- Thrown if \p num_dimensions exceeds the maximum allowed space
- dimension.
- */
- explicit Partially_Reduced_Product(const Constraint_System& cs);
-
- //! Builds a pair, recycling a system of constraints.
- /*!
- The pair inherits the space dimension of the constraint system.
-
- \param cs
- The system of constraints to be approximated by the pair.
-
- \exception std::length_error
- Thrown if the space dimension of \p cs exceeds the maximum allowed
- space dimension.
- */
- explicit Partially_Reduced_Product(Constraint_System& cs);
-
- //! Builds a product, from a C polyhedron.
- /*!
- Builds a product containing \p ph using algorithms whose
- complexity does not exceed the one specified by \p complexity.
- If \p complexity is \p ANY_COMPLEXITY, then the built product is the
- smallest one containing \p ph.
- The product inherits the space dimension of the polyhedron.
-
- \param ph
- The polyhedron to be approximated by the product.
-
- \param complexity
- The complexity that will not be exceeded.
-
- \exception std::length_error
- Thrown if the space dimension of \p ph exceeds the maximum allowed
- space dimension.
- */
- explicit
- Partially_Reduced_Product(const C_Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a product, from an NNC polyhedron.
- /*!
- Builds a product containing \p ph using algorithms whose
- complexity does not exceed the one specified by \p complexity.
- If \p complexity is \p ANY_COMPLEXITY, then the built product is the
- smallest one containing \p ph.
- The product inherits the space dimension of the polyhedron.
-
- \param ph
- The polyhedron to be approximated by the product.
-
- \param complexity
- The complexity that will not be exceeded.
-
- \exception std::length_error
- Thrown if the space dimension of \p ph exceeds the maximum allowed
- space dimension.
- */
- explicit
- Partially_Reduced_Product(const NNC_Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a product, from a grid.
- /*!
- Builds a product containing \p gr.
- The product inherits the space dimension of the grid.
-
- \param gr
- The grid to be approximated by the product.
-
- \param complexity
- The complexity is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p gr exceeds the maximum allowed
- space dimension.
- */
- explicit
- Partially_Reduced_Product(const Grid& gr,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a product out of a box.
- /*!
- Builds a product containing \p box.
- The product inherits the space dimension of the box.
-
- \param box
- The box representing the pair to be built.
-
- \param complexity
- The complexity is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum
- allowed space dimension.
- */
- template <typename Interval>
- Partially_Reduced_Product(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a product out of a BD shape.
- /*!
- Builds a product containing \p bd.
- The product inherits the space dimension of the BD shape.
-
- \param bd
- The BD shape representing the product to be built.
-
- \param complexity
- The complexity is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p bd exceeds the maximum
- allowed space dimension.
- */
- template <typename U>
- Partially_Reduced_Product(const BD_Shape<U>& bd,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a product out of an octagonal shape.
- /*!
- Builds a product containing \p os.
- The product inherits the space dimension of the octagonal shape.
-
- \param os
- The octagonal shape representing the product to be built.
-
- \param complexity
- The complexity is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p os exceeds the maximum
- allowed space dimension.
- */
- template <typename U>
- Partially_Reduced_Product(const Octagonal_Shape<U>& os,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Ordinary copy constructor.
- Partially_Reduced_Product(const Partially_Reduced_Product& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a conservative, upward approximation of \p y.
- /*!
- The complexity argument is ignored.
- */
- template <typename E1, typename E2, typename S>
- explicit
- Partially_Reduced_Product(const Partially_Reduced_Product<E1, E2, S>& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator. (\p *this and \p y can be
- dimension-incompatible.)
- */
- Partially_Reduced_Product& operator=(const Partially_Reduced_Product& y);
-
- //! \name Member Functions that Do Not Modify the Partially_Reduced_Product
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns the minimum \ref Affine_Independence_and_Affine_Dimension
- "affine dimension"
- (see also \ref Grid_Affine_Dimension "grid affine dimension")
- of the components of \p *this.
- */
- dimension_type affine_dimension() const;
-
- //! Returns a constant reference to the first of the pair.
- const D1& domain1() const;
-
- //! Returns a constant reference to the second of the pair.
- const D2& domain2() const;
-
- //! Returns a system of constraints which approximates \p *this.
- Constraint_System constraints() const;
-
- /*! \brief
- Returns a system of constraints which approximates \p *this, in
- reduced form.
- */
- Constraint_System minimized_constraints() const;
-
- //! Returns a system of congruences which approximates \p *this.
- Congruence_System congruences() const;
-
- /*! \brief
- Returns a system of congruences which approximates \p *this, in
- reduced form.
- */
- Congruence_System minimized_congruences() const;
-
- //! Returns the relations holding between \p *this and \p c.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
-
- Returns the Poly_Con_Relation \p r for \p *this:
- suppose the first component returns \p r1 and the second \p r2,
- then \p r implies <CODE>is_included()</CODE>
- if and only if one or both of \p r1 and \p r2 imply
- <CODE>is_included()</CODE>;
- \p r implies <CODE>saturates()</CODE>
- if and only if one or both of \p r1 and \p r2 imply
- <CODE>saturates()</CODE>;
- \p r implies <CODE>is_disjoint()</CODE>
- if and only if one or both of \p r1 and \p r2 imply
- <CODE>is_disjoint()</CODE>;
- and \p r implies <CODE>nothing()</CODE>
- if and only if both \p r1 and \p r2 imply
- <CODE>strictly_intersects()</CODE>.
- */
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- //! Returns the relations holding between \p *this and \p cg.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- //! Returns the relations holding between \p *this and \p g.
- /*
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
-
- Returns the Poly_Gen_Relation \p r for \p *this:
- suppose the first component returns \p r1 and the second \p r2,
- then \p r = <CODE>subsumes()</CODE>
- if and only if \p r1 = \p r2 = <CODE>subsumes()</CODE>;
- and \p r = <CODE>nothing()</CODE>
- if and only if one or both of \p r1 and \p r2 = <CODE>nothing()</CODE>;
- */
- Poly_Gen_Relation relation_with(const Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if either of the components
- of \p *this are empty.
- */
- bool is_empty() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if both of the components
- of \p *this are the universe.
- */
- bool is_universe() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if both of the components
- of \p *this are topologically closed subsets of the vector space.
- */
- bool is_topologically_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this and \p y are
- componentwise disjoint.
-
- \exception std::invalid_argument
- Thrown if \p x and \p y are dimension-incompatible.
- */
- bool is_disjoint_from(const Partially_Reduced_Product& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if a component of \p *this
- is discrete.
- */
- bool is_discrete() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if a component of \p *this
- is bounded.
- */
- bool is_bounded() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- bool constrains(Variable var) const;
-
- //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
- /*!
- This method is the same as bounds_from_below.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
- /*!
- This method is the same as bounds_from_above.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from above in \p *this, in which case the
- supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if the supremum value can be reached in \p this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded by \p *this,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d and \p
- maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from above in \p *this, in which case the
- supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if the supremum value can be reached in \p this.
-
- \param g
- When maximization succeeds, will be assigned the point or
- closure point where \p expr reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded by \p *this,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p g are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from below i \p *this, in which case the
- infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if the infimum value can be reached in \p this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty and
- \p expr is bounded from below in \p *this, in which case the
- infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if the infimum value can be reached in \p this.
-
- \param g
- When minimization succeeds, will be assigned the point or closure
- point where \p expr reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p point are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if each component of \p *this
- contains the corresponding component of \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool contains(const Partially_Reduced_Product& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if each component of \p *this
- strictly contains the corresponding component of \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool strictly_contains(const Partially_Reduced_Product& y) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //@} // Member Functions that Do Not Modify the Partially_Reduced_Product
-
- //! \name Space Dimension Preserving Member Functions that May Modify the Partially_Reduced_Product
- //@{
-
- //! Adds constraint \p c to \p *this.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Use the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- //! Adds a copy of congruence \p cg to \p *this.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are
- dimension-incompatible.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Use the congruence \p cg to refine \p *this.
-
- \param cg
- The congruence to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- //! Adds a copy of the congruences in \p cgs to \p *this.
- /*!
- \param cgs
- The congruence system to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void add_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Use the congruences in \p cgs to refine \p *this.
-
- \param cgs
- The congruences to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- //! Adds the congruences in \p cgs to *this.
- /*!
- \param cgs
- The congruence system to be added that may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
-
- \warning
- The only assumption that can be made about \p cgs upon successful
- or exceptional return is that it can be safely destroyed.
- */
- void add_recycled_congruences(Congruence_System& cgs);
-
- //! Adds a copy of the constraint system in \p cs to \p *this.
- /*!
- \param cs
- The constraint system to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Use the constraints in \p cs to refine \p *this.
-
- \param cs
- The constraints to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- //! Adds the constraint system in \p cs to \p *this.
- /*!
- \param cs
- The constraint system to be added that may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
-
- \warning
- The only assumption that can be made about \p cs upon successful
- or exceptional return is that it can be safely destroyed.
- */
- void add_recycled_constraints(Constraint_System& cs);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- /*! \brief
- Assigns to \p *this the componentwise intersection of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void intersection_assign(const Partially_Reduced_Product& y);
-
- /*! \brief
- Assigns to \p *this an upper bound of \p *this and \p y
- computed on the corresponding components.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void upper_bound_assign(const Partially_Reduced_Product& y);
-
- /*! \brief
- Assigns to \p *this an upper bound of \p *this and \p y
- computed on the corresponding components.
- If it is exact on each of the components of \p *this, <CODE>true</CODE>
- is returned, otherwise <CODE>false</CODE> is returned.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool upper_bound_assign_if_exact(const Partially_Reduced_Product& y);
-
- /*! \brief
- Assigns to \p *this an approximation of the set-theoretic difference
- of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void difference_assign(const Partially_Reduced_Product& y);
-
- /*! \brief
- Assigns to \p *this the \ref Single_Update_Affine_Functions
- "affine image" of \p
- *this under the function mapping variable \p var to the affine
- expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of
- \p *this.
-
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the \ref Single_Update_Affine_Functions
- "affine preimage" of
- \p *this under the function mapping variable \p var to the affine
- expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is substituted;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this.
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym
- (see also \ref Grid_Generalized_Image "generalized affine relation".)
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
- (see also \ref Grid_Generalized_Image "generalized affine relation".)
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void
- generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
- (see also \ref Grid_Generalized_Image "generalized affine relation".)
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
- (see also \ref Grid_Generalized_Image "generalized affine relation".)
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*!
- \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*!
- \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the result of computing the \ref Time_Elapse_Operator
- "time-elapse" between \p *this and \p y.
- (See also \ref Grid_Time_Elapse "time-elapse".)
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void time_elapse_assign(const Partially_Reduced_Product& y);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- // TODO: Add a way to call other widenings.
-
- // CHECKME: This may not be a real widening; it depends on the reduction
- // class R and the widening used.
-
- /*! \brief
- Assigns to \p *this the result of computing the
- "widening" between \p *this and \p y.
-
- This widening uses either the congruence or generator systems
- depending on which of the systems describing x and y
- are up to date and minimized.
-
- \param y
- A product that <EM>must</EM> be contained in \p *this;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void widening_assign(const Partially_Reduced_Product& y,
- unsigned* tp = NULL);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- //@} // Space Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- /*! \brief
- Adds \p m new space dimensions and embeds the components
- of \p *this in the new vector space.
-
- \param m
- The number of dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the vector
- space to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Adds \p m new space dimensions and does not embed the components
- in the new vector space.
-
- \param m
- The number of space dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- /*! \brief
- Assigns to the first (resp., second) component of \p *this
- the "concatenation" of the first (resp., second) components
- of \p *this and \p y, taken in this order.
- See also \ref Concatenating_Polyhedra.
-
- \exception std::length_error
- Thrown if the concatenation would cause the vector space
- to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void concatenate_assign(const Partially_Reduced_Product& y);
-
- //! Removes all the specified dimensions from the vector space.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher dimensions of the vector space so that the
- resulting space will have dimension \p new_dimension.
-
- \exception std::invalid_argument
- Thrown if \p new_dimensions is greater than the space dimension of
- \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
-
- If \p pfunc maps only some of the dimensions of \p *this then the
- rest will be projected away.
-
- If the highest dimension mapped to by \p pfunc is higher than the
- highest dimension in \p *this then the number of dimensions in \p
- *this will be increased to the highest dimension mapped to by \p
- pfunc.
-
- \param pfunc
- The partial function specifying the destiny of each space
- dimension.
-
- The template class <CODE>Partial_Function</CODE> must provide the following
- methods.
- \code
- bool has_empty_codomain() const
- \endcode
- returns <CODE>true</CODE> if and only if the represented partial
- function has an empty codomain (i.e., it is always undefined).
- The <CODE>has_empty_codomain()</CODE> method will always be called
- before the methods below. However, if
- <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
- of the functions below will be called.
- \code
- dimension_type max_in_codomain() const
- \endcode
- returns the maximum value that belongs to the codomain of the
- partial function.
- The <CODE>max_in_codomain()</CODE> method is called at most once.
- \code
- bool maps(dimension_type i, dimension_type& j) const
- \endcode
- Let \f$f\f$ be the represented function and \f$k\f$ be the value
- of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
- assigned to \p j and <CODE>true</CODE> is returned. If \f$f\f$ is
- undefined in \f$k\f$, then <CODE>false</CODE> is returned.
- This method is called at most \f$n\f$ times, where \f$n\f$ is the
- dimension of the vector space enclosing \p *this.
-
- The result is undefined if \p pfunc does not encode a partial
- function with the properties described in
- \ref Mapping_the_Dimensions_of_the_Vector_Space
- "specification of the mapping operator".
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector
- space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the vector
- space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref Expanding_One_Dimension_of_the_Vector_Space_to_Multiple_Dimensions
- "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars. Also
- thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are
- \ref Folding_Multiple_Dimensions_of_the_Vector_Space_into_One_Dimension
- "folded" into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
- friend bool operator==<>(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y);
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators::
- operator<<<>(std::ostream& s, const Partially_Reduced_Product<D1, D2, R>& dp);
-
- //! \name Miscellaneous Member Functions
- //@{
-
- //! Destructor.
- ~Partially_Reduced_Product();
-
- /*! \brief
- Swaps \p *this with product \p y. (\p *this and \p y can be
- dimension-incompatible.)
- */
- void m_swap(Partially_Reduced_Product& y);
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If \p x and \p y are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- //@} // Miscellaneous Member Functions
-
- //! Reduce.
- /*
- \return
- <CODE>true</CODE> if and only if either of the resulting component
- is strictly contained in the respective original.
- */
- bool reduce() const;
-
-protected:
- //! The type of the first component.
- typedef D1 Domain1;
-
- //! The type of the second component.
- typedef D2 Domain2;
-
- //! The first component.
- D1 d1;
-
- //! The second component.
- D2 d2;
-
-protected:
- //! Clears the reduced flag.
- void clear_reduced_flag() const;
-
- //! Sets the reduced flag.
- void set_reduced_flag() const;
-
- //! Return <CODE>true</CODE> if and only if the reduced flag is set.
- bool is_reduced() const;
-
- /*! \brief
- Flag to record whether the components are reduced with respect
- to each other and the reduction class.
- */
- bool reduced;
-
-private:
- void throw_space_dimension_overflow(const char* method,
- const char* reason);
-};
-
-namespace Parma_Polyhedra_Library {
-
-/*! \brief
- This class is temporary and will be removed when template typedefs will
- be supported in C++.
-
- When template typedefs will be supported in C++, what now is verbosely
- denoted by Domain_Product<Domain1, Domain2>::Direct_Product will simply
- be denoted by Direct_Product<Domain1, Domain2>.
-*/
-template <typename D1, typename D2>
-class Domain_Product {
-public:
- typedef Partially_Reduced_Product<D1, D2, No_Reduction<D1, D2> >
- Direct_Product;
-
- typedef Partially_Reduced_Product<D1, D2, Smash_Reduction<D1, D2> >
- Smash_Product;
-
- typedef Partially_Reduced_Product<D1, D2, Constraints_Reduction<D1, D2> >
- Constraints_Product;
-
- typedef Partially_Reduced_Product<D1, D2, Congruences_Reduction<D1, D2> >
- Congruences_Product;
-
- typedef Partially_Reduced_Product<D1, D2, Shape_Preserving_Reduction<D1, D2> >
- Shape_Preserving_Product;
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Partially_Reduced_Product.inlines.hh"
-#include "Partially_Reduced_Product.templates.hh"
-
-#endif // !defined(PPL_Partially_Reduced_Product_defs_hh)
diff --git a/src/Partially_Reduced_Product.inlines.hh b/src/Partially_Reduced_Product.inlines.hh
deleted file mode 100644
index 7273fec..0000000
--- a/src/Partially_Reduced_Product.inlines.hh
+++ /dev/null
@@ -1,818 +0,0 @@
-/* Partially_Reduced_Product class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Partially_Reduced_Product_inlines_hh
-#define PPL_Partially_Reduced_Product_inlines_hh 1
-
-#include "Constraint_System.defs.hh"
-#include "Congruence_System.defs.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include "Grid.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D1, typename D2, typename R>
-inline dimension_type
-Partially_Reduced_Product<D1, D2, R>::max_space_dimension() {
- return (D1::max_space_dimension() < D2::max_space_dimension())
- ? D1::max_space_dimension()
- : D2::max_space_dimension();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(dimension_type num_dimensions,
- const Degenerate_Element kind)
- : d1(num_dimensions <= max_space_dimension()
- ? num_dimensions
- : (throw_space_dimension_overflow("Partially_Reduced_Product(n, k)",
- "n exceeds the maximum "
- "allowed space dimension"),
- num_dimensions),
- kind),
- d2(num_dimensions, kind) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Congruence_System& cgs)
- : d1(cgs), d2(cgs) {
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(Congruence_System& cgs)
- : d1(const_cast<const Congruence_System&>(cgs)), d2(cgs) {
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Constraint_System& cs)
- : d1(cs), d2(cs) {
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(Constraint_System& cs)
- : d1(const_cast<const Constraint_System&>(cs)), d2(cs) {
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const C_Polyhedron& ph,
- Complexity_Class complexity)
- : d1(ph, complexity), d2(ph, complexity) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const NNC_Polyhedron& ph,
- Complexity_Class complexity)
- : d1(ph, complexity), d2(ph, complexity) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Grid& gr, Complexity_Class)
- : d1(gr), d2(gr) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-template <typename Interval>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Box<Interval>& box, Complexity_Class)
- : d1(box), d2(box) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-template <typename U>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const BD_Shape<U>& bd, Complexity_Class)
- : d1(bd), d2(bd) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-template <typename U>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Octagonal_Shape<U>& os, Complexity_Class)
- : d1(os), d2(os) {
- set_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Partially_Reduced_Product& y,
- Complexity_Class)
- : d1(y.d1), d2(y.d2) {
- reduced = y.reduced;
-}
-
-template <typename D1, typename D2, typename R>
-template <typename E1, typename E2, typename S>
-inline
-Partially_Reduced_Product<D1, D2, R>
-::Partially_Reduced_Product(const Partially_Reduced_Product<E1, E2, S>& y,
- Complexity_Class complexity)
- : d1(y.space_dimension()), d2(y.space_dimension()) {
- Partially_Reduced_Product<D1, D2, R> pg1(y.domain1(), complexity);
- Partially_Reduced_Product<D1, D2, R> pg2(y.domain2(), complexity);
- pg1.intersection_assign(pg2);
- m_swap(pg1);
- /* Even if y is reduced, the built product may not be reduced as
- the reduction method may have changed (i.e., S != R). */
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline
-Partially_Reduced_Product<D1, D2, R>::~Partially_Reduced_Product() {
-}
-
-template <typename D1, typename D2, typename R>
-inline memory_size_type
-Partially_Reduced_Product<D1, D2, R>::external_memory_in_bytes() const {
- return d1.external_memory_in_bytes() + d2.external_memory_in_bytes();
-}
-
-template <typename D1, typename D2, typename R>
-inline memory_size_type
-Partially_Reduced_Product<D1, D2, R>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename D1, typename D2, typename R>
-inline dimension_type
-Partially_Reduced_Product<D1, D2, R>::space_dimension() const {
- PPL_ASSERT(d1.space_dimension() == d2.space_dimension());
- return d1.space_dimension();
-}
-
-template <typename D1, typename D2, typename R>
-inline dimension_type
-Partially_Reduced_Product<D1, D2, R>::affine_dimension() const {
- reduce();
- const dimension_type d1_dim = d1.affine_dimension();
- const dimension_type d2_dim = d2.affine_dimension();
- return std::min(d1_dim, d2_dim);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::unconstrain(const Variable var) {
- reduce();
- d1.unconstrain(var);
- d2.unconstrain(var);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::unconstrain(const Variables_Set& vars) {
- reduce();
- d1.unconstrain(vars);
- d2.unconstrain(vars);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::intersection_assign(const Partially_Reduced_Product& y) {
- d1.intersection_assign(y.d1);
- d2.intersection_assign(y.d2);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::difference_assign(const Partially_Reduced_Product& y) {
- reduce();
- y.reduce();
- d1.difference_assign(y.d1);
- d2.difference_assign(y.d2);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::upper_bound_assign(const Partially_Reduced_Product& y) {
- reduce();
- y.reduce();
- d1.upper_bound_assign(y.d1);
- d2.upper_bound_assign(y.d2);
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>
-::upper_bound_assign_if_exact(const Partially_Reduced_Product& y) {
- reduce();
- y.reduce();
- D1 d1_copy = d1;
- bool ub_exact = d1_copy.upper_bound_assign_if_exact(y.d1);
- if (!ub_exact)
- return false;
- ub_exact = d2.upper_bound_assign_if_exact(y.d2);
- if (!ub_exact)
- return false;
- using std::swap;
- swap(d1, d1_copy);
- return true;
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- d1.affine_image(var, expr, denominator);
- d2.affine_image(var, expr, denominator);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- d1.affine_preimage(var, expr, denominator);
- d2.affine_preimage(var, expr, denominator);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::generalized_affine_image(Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- d1.generalized_affine_image(var, relsym, expr, denominator);
- d2.generalized_affine_image(var, relsym, expr, denominator);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::generalized_affine_preimage(Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- d1.generalized_affine_preimage(var, relsym, expr, denominator);
- d2.generalized_affine_preimage(var, relsym, expr, denominator);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- d1.generalized_affine_image(lhs, relsym, rhs);
- d2.generalized_affine_image(lhs, relsym, rhs);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- d1.generalized_affine_preimage(lhs, relsym, rhs);
- d2.generalized_affine_preimage(lhs, relsym, rhs);
- clear_reduced_flag();
-}
-
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- d1.bounded_affine_image(var, lb_expr, ub_expr, denominator);
- d2.bounded_affine_image(var, lb_expr, ub_expr, denominator);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- d1.bounded_affine_preimage(var, lb_expr, ub_expr, denominator);
- d2.bounded_affine_preimage(var, lb_expr, ub_expr, denominator);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::time_elapse_assign(const Partially_Reduced_Product& y) {
- reduce();
- y.reduce();
- d1.time_elapse_assign(y.d1);
- d2.time_elapse_assign(y.d2);
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::topological_closure_assign() {
- d1.topological_closure_assign();
- d2.topological_closure_assign();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::m_swap(Partially_Reduced_Product& y) {
- using std::swap;
- swap(d1, y.d1);
- swap(d2, y.d2);
- swap(reduced, y.reduced);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::add_constraint(const Constraint& c) {
- d1.add_constraint(c);
- d2.add_constraint(c);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::refine_with_constraint(const Constraint& c) {
- d1.refine_with_constraint(c);
- d2.refine_with_constraint(c);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::add_congruence(const Congruence& cg) {
- d1.add_congruence(cg);
- d2.add_congruence(cg);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::refine_with_congruence(const Congruence& cg) {
- d1.refine_with_congruence(cg);
- d2.refine_with_congruence(cg);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::add_constraints(const Constraint_System& cs) {
- d1.add_constraints(cs);
- d2.add_constraints(cs);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::refine_with_constraints(const Constraint_System& cs) {
- d1.refine_with_constraints(cs);
- d2.refine_with_constraints(cs);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::add_congruences(const Congruence_System& cgs) {
- d1.add_congruences(cgs);
- d2.add_congruences(cgs);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::refine_with_congruences(const Congruence_System& cgs) {
- d1.refine_with_congruences(cgs);
- d2.refine_with_congruences(cgs);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::drop_some_non_integer_points(Complexity_Class complexity) {
- reduce();
- d1.drop_some_non_integer_points(complexity);
- d2.drop_some_non_integer_points(complexity);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity) {
- reduce();
- d1.drop_some_non_integer_points(vars, complexity);
- d2.drop_some_non_integer_points(vars, complexity);
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline Partially_Reduced_Product<D1, D2, R>&
-Partially_Reduced_Product<D1, D2, R>
-::operator=(const Partially_Reduced_Product& y) {
- d1 = y.d1;
- d2 = y.d2;
- reduced = y.reduced;
- return *this;
-}
-
-template <typename D1, typename D2, typename R>
-inline const D1&
-Partially_Reduced_Product<D1, D2, R>::domain1() const {
- reduce();
- return d1;
-}
-
-template <typename D1, typename D2, typename R>
-inline const D2&
-Partially_Reduced_Product<D1, D2, R>::domain2() const {
- reduce();
- return d2;
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::is_empty() const {
- reduce();
- return d1.is_empty() || d2.is_empty();
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::is_universe() const {
- return d1.is_universe() && d2.is_universe();
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::is_topologically_closed() const {
- reduce();
- return d1.is_topologically_closed() && d2.is_topologically_closed();
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>
-::is_disjoint_from(const Partially_Reduced_Product& y) const {
- reduce();
- y.reduce();
- return d1.is_disjoint_from(y.d1) || d2.is_disjoint_from(y.d2);
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::is_discrete() const {
- reduce();
- return d1.is_discrete() || d2.is_discrete();
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::is_bounded() const {
- reduce();
- return d1.is_bounded() || d2.is_bounded();
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>
-::bounds_from_above(const Linear_Expression& expr) const {
- reduce();
- return d1.bounds_from_above(expr) || d2.bounds_from_above(expr);
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>
-::bounds_from_below(const Linear_Expression& expr) const {
- reduce();
- return d1.bounds_from_below(expr) || d2.bounds_from_below(expr);
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::constrains(Variable var) const {
- reduce();
- return d1.constrains(var) || d2.constrains(var);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::widening_assign(const Partially_Reduced_Product& y,
- unsigned* tp) {
- // FIXME(0.10.1): In general this is _NOT_ a widening since the reduction
- // may mean that the sequence does not satisfy the ascending
- // chain condition.
- // However, for the direct, smash and constraints product
- // it may be ok - but this still needs checking.
- reduce();
- y.reduce();
- d1.widening_assign(y.d1, tp);
- d2.widening_assign(y.d2, tp);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::add_space_dimensions_and_embed(dimension_type m) {
- d1.add_space_dimensions_and_embed(m);
- d2.add_space_dimensions_and_embed(m);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::add_space_dimensions_and_project(dimension_type m) {
- d1.add_space_dimensions_and_project(m);
- d2.add_space_dimensions_and_project(m);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::concatenate_assign(const Partially_Reduced_Product& y) {
- d1.concatenate_assign(y.d1);
- d2.concatenate_assign(y.d2);
- if (!is_reduced() || !y.is_reduced())
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::remove_space_dimensions(const Variables_Set& vars) {
- d1.remove_space_dimensions(vars);
- d2.remove_space_dimensions(vars);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::remove_higher_space_dimensions(dimension_type new_dimension) {
- d1.remove_higher_space_dimensions(new_dimension);
- d2.remove_higher_space_dimensions(new_dimension);
-}
-
-template <typename D1, typename D2, typename R>
-template <typename Partial_Function>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::map_space_dimensions(const Partial_Function& pfunc) {
- d1.map_space_dimensions(pfunc);
- d2.map_space_dimensions(pfunc);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::expand_space_dimension(Variable var, dimension_type m) {
- d1.expand_space_dimension(var, m);
- d2.expand_space_dimension(var, m);
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>
-::fold_space_dimensions(const Variables_Set& vars,
- Variable dest) {
- d1.fold_space_dimensions(vars, dest);
- d2.fold_space_dimensions(vars, dest);
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>
-::contains(const Partially_Reduced_Product& y) const {
- reduce();
- y.reduce();
- return d1.contains(y.d1) && d2.contains(y.d2);
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>
-::strictly_contains(const Partially_Reduced_Product& y) const {
- reduce();
- y.reduce();
- return (d1.contains(y.d1) && d2.strictly_contains(y.d2))
- || (d2.contains(y.d2) && d1.strictly_contains(y.d1));
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::reduce() const {
- Partially_Reduced_Product& dp
- = const_cast<Partially_Reduced_Product&>(*this);
- if (dp.is_reduced())
- return false;
- R r;
- r.product_reduce(dp.d1, dp.d2);
- set_reduced_flag();
- return true;
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::is_reduced() const {
- return reduced;
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::clear_reduced_flag() const {
- const_cast<Partially_Reduced_Product&>(*this).reduced = false;
-}
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::set_reduced_flag() const {
- const_cast<Partially_Reduced_Product&>(*this).reduced = true;
-}
-
-PPL_OUTPUT_3_PARAM_TEMPLATE_DEFINITIONS(D1, D2, R, Partially_Reduced_Product)
-
-template <typename D1, typename D2, typename R>
-inline void
-Partially_Reduced_Product<D1, D2, R>::ascii_dump(std::ostream& s) const {
- const char yes = '+';
- const char no = '-';
- s << "Partially_Reduced_Product\n";
- s << (reduced ? yes : no) << "reduced\n";
- s << "Domain 1:\n";
- d1.ascii_dump(s);
- s << "Domain 2:\n";
- d2.ascii_dump(s);
-}
-
-template <typename D1, typename D2, typename R>
-inline int32_t
-Partially_Reduced_Product<D1, D2, R>::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-/*! \relates Parma_Polyhedra_Library::Partially_Reduced_Product */
-template <typename D1, typename D2, typename R>
-inline bool
-operator==(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y) {
- x.reduce();
- y.reduce();
- return x.d1 == y.d1 && x.d2 == y.d2;
-}
-
-/*! \relates Parma_Polyhedra_Library::Partially_Reduced_Product */
-template <typename D1, typename D2, typename R>
-inline bool
-operator!=(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y) {
- return !(x == y);
-}
-
-/*! \relates Parma_Polyhedra_Library::Partially_Reduced_Product */
-template <typename D1, typename D2, typename R>
-inline std::ostream&
-IO_Operators::operator<<(std::ostream& s,
- const Partially_Reduced_Product<D1, D2, R>& dp) {
- return s << "Domain 1:\n"
- << dp.d1
- << "Domain 2:\n"
- << dp.d2;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D1, typename D2>
-inline
-No_Reduction<D1, D2>::No_Reduction() {
-}
-
-template <typename D1, typename D2>
-void No_Reduction<D1, D2>::product_reduce(D1&, D2&) {
-}
-
-template <typename D1, typename D2>
-inline
-No_Reduction<D1, D2>::~No_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Smash_Reduction<D1, D2>::Smash_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Smash_Reduction<D1, D2>::~Smash_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Constraints_Reduction<D1, D2>::Constraints_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Constraints_Reduction<D1, D2>::~Constraints_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Congruences_Reduction<D1, D2>::Congruences_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Congruences_Reduction<D1, D2>::~Congruences_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Shape_Preserving_Reduction<D1, D2>::Shape_Preserving_Reduction() {
-}
-
-template <typename D1, typename D2>
-inline
-Shape_Preserving_Reduction<D1, D2>::~Shape_Preserving_Reduction() {
-}
-
-/*! \relates Partially_Reduced_Product */
-template <typename D1, typename D2, typename R>
-inline void
-swap(Partially_Reduced_Product<D1, D2, R>& x,
- Partially_Reduced_Product<D1, D2, R>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Partially_Reduced_Product_inlines_hh)
diff --git a/src/Partially_Reduced_Product.templates.hh b/src/Partially_Reduced_Product.templates.hh
deleted file mode 100644
index e396649..0000000
--- a/src/Partially_Reduced_Product.templates.hh
+++ /dev/null
@@ -1,710 +0,0 @@
-/* Partially_Reduced_Product class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Partially_Reduced_Product_templates_hh
-#define PPL_Partially_Reduced_Product_templates_hh 1
-
-#include "Grid_Generator.defs.hh"
-#include "Grid_Generator_System.defs.hh"
-#include "Grid_Generator_System.inlines.hh"
-#include <algorithm>
-#include <deque>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D1, typename D2, typename R>
-void
-Partially_Reduced_Product<D1, D2, R>
-::throw_space_dimension_overflow(const char* method,
- const char* reason) {
- std::ostringstream s;
- s << "PPL::Partially_Reduced_Product::" << method << ":" << std::endl
- << reason << ".";
- throw std::length_error(s.str());
-}
-
-template <typename D1, typename D2, typename R>
-Constraint_System
-Partially_Reduced_Product<D1, D2, R>::constraints() const {
- reduce();
- Constraint_System cs = d2.constraints();
- const Constraint_System& cs1 = d1.constraints();
- for (Constraint_System::const_iterator i = cs1.begin(),
- cs_end = cs1.end(); i != cs_end; ++i)
- cs.insert(*i);
- return cs;
-}
-
-template <typename D1, typename D2, typename R>
-Constraint_System
-Partially_Reduced_Product<D1, D2, R>::minimized_constraints() const {
- reduce();
- Constraint_System cs = d2.constraints();
- const Constraint_System& cs1 = d1.constraints();
- for (Constraint_System::const_iterator i = cs1.begin(),
- cs_end = cs1.end(); i != cs_end; ++i)
- cs.insert(*i);
- if (cs.has_strict_inequalities()) {
- NNC_Polyhedron ph(cs);
- return ph.minimized_constraints();
- }
- else {
- C_Polyhedron ph(cs);
- return ph.minimized_constraints();
- }
-}
-
-template <typename D1, typename D2, typename R>
-Congruence_System
-Partially_Reduced_Product<D1, D2, R>::congruences() const {
- reduce();
- Congruence_System cgs = d2.congruences();
- const Congruence_System& cgs1 = d1.congruences();
- for (Congruence_System::const_iterator i = cgs1.begin(),
- cgs_end = cgs1.end(); i != cgs_end; ++i)
- cgs.insert(*i);
- return cgs;
-}
-
-template <typename D1, typename D2, typename R>
-Congruence_System
-Partially_Reduced_Product<D1, D2, R>::minimized_congruences() const {
- reduce();
- Congruence_System cgs = d2.congruences();
- const Congruence_System& cgs1 = d1.congruences();
- for (Congruence_System::const_iterator i = cgs1.begin(),
- cgs_end = cgs1.end(); i != cgs_end; ++i)
- cgs.insert(*i);
- Grid gr(cgs);
- return gr.minimized_congruences();
-}
-
-template <typename D1, typename D2, typename R>
-void
-Partially_Reduced_Product<D1, D2, R>
-::add_recycled_constraints(Constraint_System& cs) {
- if (d1.can_recycle_constraint_systems()) {
- d2.refine_with_constraints(cs);
- d1.add_recycled_constraints(cs);
- }
- else
- if (d2.can_recycle_constraint_systems()) {
- d1.refine_with_constraints(cs);
- d2.add_recycled_constraints(cs);
- }
- else {
- d1.add_constraints(cs);
- d2.add_constraints(cs);
- }
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-void
-Partially_Reduced_Product<D1, D2, R>
-::add_recycled_congruences(Congruence_System& cgs) {
- if (d1.can_recycle_congruence_systems()) {
- d2.refine_with_congruences(cgs);
- d1.add_recycled_congruences(cgs);
- }
- else
- if (d2.can_recycle_congruence_systems()) {
- d1.refine_with_congruences(cgs);
- d2.add_recycled_congruences(cgs);
- }
- else {
- d1.add_congruences(cgs);
- d2.add_congruences(cgs);
- }
- clear_reduced_flag();
-}
-
-template <typename D1, typename D2, typename R>
-Poly_Gen_Relation
-Partially_Reduced_Product<D1, D2, R>
-::relation_with(const Generator& g) const {
- reduce();
- if (Poly_Gen_Relation::nothing() == d1.relation_with(g)
- || Poly_Gen_Relation::nothing() == d2.relation_with(g))
- return Poly_Gen_Relation::nothing();
- else
- return Poly_Gen_Relation::subsumes();
-}
-
-template <typename D1, typename D2, typename R>
-Poly_Con_Relation
-Partially_Reduced_Product<D1, D2, R>
-::relation_with(const Constraint& c) const {
- reduce();
- Poly_Con_Relation relation1 = d1.relation_with(c);
- Poly_Con_Relation relation2 = d2.relation_with(c);
-
- Poly_Con_Relation result = Poly_Con_Relation::nothing();
-
- if (relation1.implies(Poly_Con_Relation::is_included()))
- result = result && Poly_Con_Relation::is_included();
- else if (relation2.implies(Poly_Con_Relation::is_included()))
- result = result && Poly_Con_Relation::is_included();
- if (relation1.implies(Poly_Con_Relation::saturates()))
- result = result && Poly_Con_Relation::saturates();
- else if (relation2.implies(Poly_Con_Relation::saturates()))
- result = result && Poly_Con_Relation::saturates();
- if (relation1.implies(Poly_Con_Relation::is_disjoint()))
- result = result && Poly_Con_Relation::is_disjoint();
- else if (relation2.implies(Poly_Con_Relation::is_disjoint()))
- result = result && Poly_Con_Relation::is_disjoint();
-
- return result;
-}
-
-template <typename D1, typename D2, typename R>
-Poly_Con_Relation
-Partially_Reduced_Product<D1, D2, R>
-::relation_with(const Congruence& cg) const {
- reduce();
- Poly_Con_Relation relation1 = d1.relation_with(cg);
- Poly_Con_Relation relation2 = d2.relation_with(cg);
-
- Poly_Con_Relation result = Poly_Con_Relation::nothing();
-
- if (relation1.implies(Poly_Con_Relation::is_included()))
- result = result && Poly_Con_Relation::is_included();
- else if (relation2.implies(Poly_Con_Relation::is_included()))
- result = result && Poly_Con_Relation::is_included();
- if (relation1.implies(Poly_Con_Relation::saturates()))
- result = result && Poly_Con_Relation::saturates();
- else if (relation2.implies(Poly_Con_Relation::saturates()))
- result = result && Poly_Con_Relation::saturates();
- if (relation1.implies(Poly_Con_Relation::is_disjoint()))
- result = result && Poly_Con_Relation::is_disjoint();
- else if (relation2.implies(Poly_Con_Relation::is_disjoint()))
- result = result && Poly_Con_Relation::is_disjoint();
-
- return result;
-}
-
-template <typename D1, typename D2, typename R>
-bool
-Partially_Reduced_Product<D1, D2, R>
-::maximize(const Linear_Expression& expr,
- Coefficient& sup_n,
- Coefficient& sup_d,
- bool& maximum) const {
- reduce();
-
- if (is_empty())
- return false;
-
- PPL_DIRTY_TEMP_COEFFICIENT(sup1_n);
- PPL_DIRTY_TEMP_COEFFICIENT(sup1_d);
- PPL_DIRTY_TEMP_COEFFICIENT(sup2_n);
- PPL_DIRTY_TEMP_COEFFICIENT(sup2_d);
- bool maximum1;
- bool maximum2;
- bool r1 = d1.maximize(expr, sup1_n, sup1_d, maximum1);
- bool r2 = d2.maximize(expr, sup2_n, sup2_d, maximum2);
- // If neither is bounded from above, return false.
- if (!r1 && !r2)
- return false;
- // If only d2 is bounded from above, then use the values for d2.
- if (!r1) {
- sup_n = sup2_n;
- sup_d = sup2_d;
- maximum = maximum2;
- return true;
- }
- // If only d1 is bounded from above, then use the values for d1.
- if (!r2) {
- sup_n = sup1_n;
- sup_d = sup1_d;
- maximum = maximum1;
- return true;
- }
- // If both d1 and d2 are bounded from above, then use the minimum values.
- if (sup2_d * sup1_n >= sup1_d * sup2_n) {
- sup_n = sup1_n;
- sup_d = sup1_d;
- maximum = maximum1;
- }
- else {
- sup_n = sup2_n;
- sup_d = sup2_d;
- maximum = maximum2;
- }
- return true;
-}
-
-template <typename D1, typename D2, typename R>
-bool
-Partially_Reduced_Product<D1, D2, R>
-::minimize(const Linear_Expression& expr,
- Coefficient& inf_n,
- Coefficient& inf_d,
- bool& minimum) const {
- reduce();
-
- if (is_empty())
- return false;
- PPL_ASSERT(reduced);
-
- PPL_DIRTY_TEMP_COEFFICIENT(inf1_n);
- PPL_DIRTY_TEMP_COEFFICIENT(inf1_d);
- PPL_DIRTY_TEMP_COEFFICIENT(inf2_n);
- PPL_DIRTY_TEMP_COEFFICIENT(inf2_d);
- bool minimum1;
- bool minimum2;
- bool r1 = d1.minimize(expr, inf1_n, inf1_d, minimum1);
- bool r2 = d2.minimize(expr, inf2_n, inf2_d, minimum2);
- // If neither is bounded from below, return false.
- if (!r1 && !r2)
- return false;
- // If only d2 is bounded from below, then use the values for d2.
- if (!r1) {
- inf_n = inf2_n;
- inf_d = inf2_d;
- minimum = minimum2;
- return true;
- }
- // If only d1 is bounded from below, then use the values for d1.
- if (!r2) {
- inf_n = inf1_n;
- inf_d = inf1_d;
- minimum = minimum1;
- return true;
- }
- // If both d1 and d2 are bounded from below, then use the minimum values.
- if (inf2_d * inf1_n <= inf1_d * inf2_n) {
- inf_n = inf1_n;
- inf_d = inf1_d;
- minimum = minimum1;
- }
- else {
- inf_n = inf2_n;
- inf_d = inf2_d;
- minimum = minimum2;
- }
- return true;
-}
-
-template <typename D1, typename D2, typename R>
-bool
-Partially_Reduced_Product<D1, D2, R>
-::maximize(const Linear_Expression& expr,
- Coefficient& sup_n,
- Coefficient& sup_d,
- bool& maximum,
- Generator& g) const {
- reduce();
-
- if (is_empty())
- return false;
- PPL_ASSERT(reduced);
-
- PPL_DIRTY_TEMP_COEFFICIENT(sup1_n);
- PPL_DIRTY_TEMP_COEFFICIENT(sup1_d);
- PPL_DIRTY_TEMP_COEFFICIENT(sup2_n);
- PPL_DIRTY_TEMP_COEFFICIENT(sup2_d);
- bool maximum1;
- bool maximum2;
- Generator g1(point());
- Generator g2(point());
- bool r1 = d1.maximize(expr, sup1_n, sup1_d, maximum1, g1);
- bool r2 = d2.maximize(expr, sup2_n, sup2_d, maximum2, g2);
- // If neither is bounded from above, return false.
- if (!r1 && !r2)
- return false;
- // If only d2 is bounded from above, then use the values for d2.
- if (!r1) {
- sup_n = sup2_n;
- sup_d = sup2_d;
- maximum = maximum2;
- g = g2;
- return true;
- }
- // If only d1 is bounded from above, then use the values for d1.
- if (!r2) {
- sup_n = sup1_n;
- sup_d = sup1_d;
- maximum = maximum1;
- g = g1;
- return true;
- }
- // If both d1 and d2 are bounded from above, then use the minimum values.
- if (sup2_d * sup1_n >= sup1_d * sup2_n) {
- sup_n = sup1_n;
- sup_d = sup1_d;
- maximum = maximum1;
- g = g1;
- }
- else {
- sup_n = sup2_n;
- sup_d = sup2_d;
- maximum = maximum2;
- g = g2;
- }
- return true;
-}
-
-template <typename D1, typename D2, typename R>
-bool
-Partially_Reduced_Product<D1, D2, R>
-::minimize(const Linear_Expression& expr,
- Coefficient& inf_n,
- Coefficient& inf_d,
- bool& minimum,
- Generator& g) const {
- reduce();
-
- if (is_empty())
- return false;
- PPL_ASSERT(reduced);
-
- PPL_DIRTY_TEMP_COEFFICIENT(inf1_n);
- PPL_DIRTY_TEMP_COEFFICIENT(inf1_d);
- PPL_DIRTY_TEMP_COEFFICIENT(inf2_n);
- PPL_DIRTY_TEMP_COEFFICIENT(inf2_d);
- bool minimum1;
- bool minimum2;
- Generator g1(point());
- Generator g2(point());
- bool r1 = d1.minimize(expr, inf1_n, inf1_d, minimum1, g1);
- bool r2 = d2.minimize(expr, inf2_n, inf2_d, minimum2, g2);
- // If neither is bounded from below, return false.
- if (!r1 && !r2)
- return false;
- // If only d2 is bounded from below, then use the values for d2.
- if (!r1) {
- inf_n = inf2_n;
- inf_d = inf2_d;
- minimum = minimum2;
- g = g2;
- return true;
- }
- // If only d1 is bounded from below, then use the values for d1.
- if (!r2) {
- inf_n = inf1_n;
- inf_d = inf1_d;
- minimum = minimum1;
- g = g1;
- return true;
- }
- // If both d1 and d2 are bounded from below, then use the minimum values.
- if (inf2_d * inf1_n <= inf1_d * inf2_n) {
- inf_n = inf1_n;
- inf_d = inf1_d;
- minimum = minimum1;
- g = g1;
- }
- else {
- inf_n = inf2_n;
- inf_d = inf2_d;
- minimum = minimum2;
- g = g2;
- }
- return true;
-}
-
-template <typename D1, typename D2, typename R>
-inline bool
-Partially_Reduced_Product<D1, D2, R>::OK() const {
- if (reduced) {
- Partially_Reduced_Product<D1, D2, R> dp1 = *this;
- Partially_Reduced_Product<D1, D2, R> dp2 = *this;
- /* Force dp1 reduction */
- dp1.clear_reduced_flag();
- dp1.reduce();
- if (dp1 != dp2)
- return false;
- }
- return d1.OK() && d2.OK();
-}
-
-template <typename D1, typename D2, typename R>
-bool
-Partially_Reduced_Product<D1, D2, R>::ascii_load(std::istream& s) {
- const char yes = '+';
- const char no = '-';
- std::string str;
- if (!(s >> str) || str != "Partially_Reduced_Product")
- return false;
- if (!(s >> str)
- || (str[0] != yes && str[0] != no)
- || str.substr(1) != "reduced")
- return false;
- reduced = (str[0] == yes);
- if (!(s >> str) || str != "Domain")
- return false;
- if (!(s >> str) || str != "1:")
- return false;
- if (!d1.ascii_load(s))
- return false;
- if (!(s >> str) || str != "Domain")
- return false;
- if (!(s >> str) || str != "2:")
- return false;
- return d2.ascii_load(s);
-}
-
-template <typename D1, typename D2>
-void Smash_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
- using std::swap;
- if (d2.is_empty()) {
- if (!d1.is_empty()) {
- D1 new_d1(d1.space_dimension(), EMPTY);
- swap(d1, new_d1);
- }
- }
- else if (d1.is_empty()) {
- D2 new_d2(d2.space_dimension(), EMPTY);
- swap(d2, new_d2);
- }
-}
-
-template <typename D1, typename D2>
-void Constraints_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
- if (d1.is_empty() || d2.is_empty()) {
- // If one of the components is empty, do the smash reduction and return.
- Parma_Polyhedra_Library::Smash_Reduction<D1, D2> sr;
- sr.product_reduce(d1, d2);
- return;
- }
- else {
- using std::swap;
- dimension_type space_dim = d1.space_dimension();
- d1.refine_with_constraints(d2.minimized_constraints());
- if (d1.is_empty()) {
- D2 new_d2(space_dim, EMPTY);
- swap(d2, new_d2);
- return;
- }
- d2.refine_with_constraints(d1.minimized_constraints());
- if (d2.is_empty()) {
- D1 new_d1(space_dim, EMPTY);
- swap(d1, new_d1);
- }
- }
-}
-
-/* Auxiliary procedure for the Congruences_Reduction() method.
- If more than one hyperplane defined by congruence cg intersect
- d2, then d1 and d2 are unchanged; if exactly one intersects d2, then
- the corresponding equality is added to d1 and d2;
- otherwise d1 and d2 are set empty. */
-template <typename D1, typename D2>
-bool shrink_to_congruence_no_check(D1& d1, D2& d2, const Congruence& cg) {
- // It is assumed that cg is a proper congruence.
- PPL_ASSERT(cg.modulus() != 0);
- // It is assumed that cg is satisfied by all points in d1.
- PPL_ASSERT(d1.relation_with(cg) == Poly_Con_Relation::is_included());
-
- Linear_Expression e(cg);
-
- // Find the maximum and minimum bounds for the domain element d with the
- // linear expression e.
- PPL_DIRTY_TEMP_COEFFICIENT(max_numer);
- PPL_DIRTY_TEMP_COEFFICIENT(max_denom);
- bool max_included;
- PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
- PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
- if (d2.maximize(e, max_numer, max_denom, max_included)) {
- bool min_included;
- if (d2.minimize(e, min_numer, min_denom, min_included)) {
- // Adjust values to allow for the denominators max_denom and min_denom.
- max_numer *= min_denom;
- min_numer *= max_denom;
- PPL_DIRTY_TEMP_COEFFICIENT(denom);
- PPL_DIRTY_TEMP_COEFFICIENT(mod);
- denom = max_denom * min_denom;
- mod = cg.modulus() * denom;
- // If the difference between the maximum and minimum bounds is more than
- // twice the modulus, then there will be two neighboring hyperplanes
- // defined by cg that are intersected by the domain element d;
- // there is no possible reduction in this case.
- PPL_DIRTY_TEMP_COEFFICIENT(mod2);
- mod2 = 2 * mod;
- if (max_numer - min_numer < mod2
- || (max_numer - min_numer == mod2 && (!max_included || !min_included)))
- {
- PPL_DIRTY_TEMP_COEFFICIENT(shrink_amount);
- PPL_DIRTY_TEMP_COEFFICIENT(max_decreased);
- PPL_DIRTY_TEMP_COEFFICIENT(min_increased);
- // Find the amount by which the maximum value may be decreased.
- shrink_amount = max_numer % mod;
- if (!max_included && shrink_amount == 0)
- shrink_amount = mod;
- if (shrink_amount < 0)
- shrink_amount += mod;
- max_decreased = max_numer - shrink_amount;
- // Find the amount by which the minimum value may be increased.
- shrink_amount = min_numer % mod;
- if (!min_included && shrink_amount == 0)
- shrink_amount = - mod;
- if (shrink_amount > 0)
- shrink_amount -= mod;
- min_increased = min_numer - shrink_amount;
- if (max_decreased == min_increased) {
- // The domain element d2 intersects exactly one hyperplane
- // defined by cg, so add the equality to d1 and d2.
- Constraint new_c(denom * e == min_increased);
- d1.refine_with_constraint(new_c);
- d2.refine_with_constraint(new_c);
- return true;
- }
- else {
- if (max_decreased < min_increased) {
- using std::swap;
- // In this case, d intersects no hyperplanes defined by cg,
- // so set d to empty and return false.
- D1 new_d1(d1.space_dimension(), EMPTY);
- swap(d1, new_d1);
- D2 new_d2(d2.space_dimension(), EMPTY);
- swap(d2, new_d2);
- return false;
- }
- }
- }
- }
- }
- return true;
-}
-
-template <typename D1, typename D2>
-void
- Congruences_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
- if (d1.is_empty() || d2.is_empty()) {
- // If one of the components is empty, do the smash reduction and return.
- Parma_Polyhedra_Library::Smash_Reduction<D1, D2> sr;
- sr.product_reduce(d1, d2);
- return;
- }
- // Use the congruences representing d1 to shrink both components.
- const Congruence_System cgs1 = d1.minimized_congruences();
- for (Congruence_System::const_iterator i = cgs1.begin(),
- cgs_end = cgs1.end(); i != cgs_end; ++i) {
- const Congruence& cg1 = *i;
- if (cg1.is_equality())
- d2.refine_with_congruence(cg1);
- else
- if (!Parma_Polyhedra_Library::
- shrink_to_congruence_no_check(d1, d2, cg1))
- // The product is empty.
- return;
- }
- // Use the congruences representing d2 to shrink both components.
- const Congruence_System cgs2 = d2.minimized_congruences();
- for (Congruence_System::const_iterator i = cgs2.begin(),
- cgs_end = cgs2.end(); i != cgs_end; ++i) {
- const Congruence& cg2 = *i;
- if (cg2.is_equality())
- d1.refine_with_congruence(cg2);
- else
- if (!Parma_Polyhedra_Library::
- shrink_to_congruence_no_check(d2, d1, cg2))
- // The product is empty.
- return;
- }
-}
-
-template <typename D1, typename D2>
-void
- Shape_Preserving_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
- // First do the congruences reduction.
- Parma_Polyhedra_Library::Congruences_Reduction<D1, D2> cgr;
- cgr.product_reduce(d1, d2);
- if (d1.is_empty())
- return;
-
- PPL_DIRTY_TEMP_COEFFICIENT(freq_n);
- PPL_DIRTY_TEMP_COEFFICIENT(freq_d);
- PPL_DIRTY_TEMP_COEFFICIENT(val_n);
- PPL_DIRTY_TEMP_COEFFICIENT(val_d);
-
- // Use the constraints representing d2.
- Constraint_System cs = d2.minimized_constraints();
- Constraint_System refining_cs;
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_equality())
- continue;
- // Check the frequency and value of the linear expression for
- // the constraint `c'.
- Linear_Expression le(c);
- if (!d1.frequency(le, freq_n, freq_d, val_n, val_d))
- // Nothing to do.
- continue;
- if (val_n == 0)
- // Nothing to do.
- continue;
- // Adjust the value of the inhomogeneous term to satisfy
- // the implied congruence.
- if (val_n < 0) {
- val_n = val_n*freq_d + val_d*freq_n;
- val_d *= freq_d;
- }
- le *= val_d;
- le -= val_n;
- refining_cs.insert(le >= 0);
- }
- d2.refine_with_constraints(refining_cs);
-
- // Use the constraints representing d1.
- cs = d1.minimized_constraints();
- refining_cs.clear();
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_equality())
- // Equalities already shared.
- continue;
- // Check the frequency and value of the linear expression for
- // the constraint `c'.
- Linear_Expression le(c);
- if (!d2.frequency(le, freq_n, freq_d, val_n, val_d))
- // Nothing to do.
- continue;
- if (val_n == 0)
- // Nothing to do.
- continue;
- // Adjust the value of the inhomogeneous term to satisfy
- // the implied congruence.
- if (val_n < 0) {
- val_n = val_n*freq_d + val_d*freq_n;
- val_d *= freq_d;
- }
- le *= val_d;
- le -= val_n;
- refining_cs.insert(le >= 0);
- }
- d1.refine_with_constraints(refining_cs);
-
- // The reduction may have introduced additional equalities
- // so these must be shared with the other component.
- Parma_Polyhedra_Library::Constraints_Reduction<D1, D2> cr;
- cr.product_reduce(d1, d2);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Partially_Reduced_Product_templates_hh)
diff --git a/src/Partially_Reduced_Product.types.hh b/src/Partially_Reduced_Product.types.hh
deleted file mode 100644
index 72cfa5a..0000000
--- a/src/Partially_Reduced_Product.types.hh
+++ /dev/null
@@ -1,38 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Partially_Reduced_Product_types_hh
-#define PPL_Partially_Reduced_Product_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D1, typename D2>
-class Smash_Reduction;
-
-template <typename D1, typename D2>
-class Constraints_Reduction;
-
-template <typename D1, typename D2>
-class Congruences_Reduction;
-
-template <typename D1, typename D2>
-class Shape_Preserving_Reduction;
-
-template <typename D1, typename D2>
-class No_Reduction;
-
-template <typename D1, typename D2, typename R>
-class Partially_Reduced_Product;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Partially_Reduced_Product_types_hh)
diff --git a/src/Partially_Reduced_Product_defs.hh b/src/Partially_Reduced_Product_defs.hh
new file mode 100644
index 0000000..5f830bc
--- /dev/null
+++ b/src/Partially_Reduced_Product_defs.hh
@@ -0,0 +1,1689 @@
+/* Partially_Reduced_Product class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Partially_Reduced_Product_defs_hh
+#define PPL_Partially_Reduced_Product_defs_hh 1
+
+#include "Partially_Reduced_Product_types.hh"
+#include "globals_types.hh"
+#include "Coefficient_defs.hh"
+#include "Variable_types.hh"
+#include "Variables_Set_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_types.hh"
+#include "Generator_types.hh"
+#include "Congruence_types.hh"
+#include "Grid_Generator_types.hh"
+#include "Constraint_System_types.hh"
+#include "Generator_System_types.hh"
+#include "Congruence_System_types.hh"
+#include "Grid_Generator_System_types.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "C_Polyhedron_types.hh"
+#include "NNC_Polyhedron_types.hh"
+#include "Grid_types.hh"
+#include "Box_types.hh"
+#include "BD_Shape_types.hh"
+#include "Octagonal_Shape_types.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Partially_Reduced_Product
+ Writes a textual representation of \p dp on \p s.
+*/
+template <typename D1, typename D2, typename R>
+std::ostream&
+operator<<(std::ostream& s, const Partially_Reduced_Product<D1, D2, R>& dp);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Partially_Reduced_Product */
+template <typename D1, typename D2, typename R>
+void swap(Partially_Reduced_Product<D1, D2, R>& x,
+ Partially_Reduced_Product<D1, D2, R>& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if the components of \p x and \p y
+ are pairwise equal.
+
+ \relates Partially_Reduced_Product
+ Note that \p x and \p y may be dimension-incompatible: in
+ those cases, the value <CODE>false</CODE> is returned.
+*/
+template <typename D1, typename D2, typename R>
+bool operator==(const Partially_Reduced_Product<D1, D2, R>& x,
+ const Partially_Reduced_Product<D1, D2, R>& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if the components of \p x and \p y
+ are not pairwise equal.
+
+ \relates Partially_Reduced_Product
+ Note that \p x and \p y may be dimension-incompatible: in
+ those cases, the value <CODE>true</CODE> is returned.
+*/
+template <typename D1, typename D2, typename R>
+bool operator!=(const Partially_Reduced_Product<D1, D2, R>& x,
+ const Partially_Reduced_Product<D1, D2, R>& y);
+
+} // namespace Parma_Polyhedra_Library
+
+
+/*! \brief
+ This class provides the reduction method for the Smash_Product
+ domain.
+
+ \ingroup PPL_CXX_interface
+ The reduction classes are used to instantiate the Partially_Reduced_Product
+ domain. This class propagates emptiness between its components.
+*/
+template <typename D1, typename D2>
+class Parma_Polyhedra_Library::Smash_Reduction {
+public:
+ //! Default constructor.
+ Smash_Reduction();
+
+ /*! \brief
+ The smash reduction operator for propagating emptiness between the
+ domain elements \p d1 and \p d2.
+
+ If either of the the domain elements \p d1 or \p d2 is empty
+ then the other is also set empty.
+
+ \param d1
+ A pointset domain element;
+
+ \param d2
+ A pointset domain element;
+ */
+ void product_reduce(D1& d1, D2& d2);
+
+ //! Destructor.
+ ~Smash_Reduction();
+};
+
+/*! \brief
+ This class provides the reduction method for the Constraints_Product
+ domain.
+
+ \ingroup PPL_CXX_interface
+ The reduction classes are used to instantiate the Partially_Reduced_Product
+ domain. This class adds the constraints defining each of the component
+ domains to the other component.
+*/
+template <typename D1, typename D2>
+class Parma_Polyhedra_Library::Constraints_Reduction {
+public:
+ //! Default constructor.
+ Constraints_Reduction();
+
+ /*! \brief
+ The constraints reduction operator for sharing constraints between the
+ domains.
+
+ The minimized constraint system defining the domain element \p d1
+ is added to \p d2 and the minimized constraint system defining \p d2
+ is added to \p d1.
+ In each case, the donor domain must provide a constraint system
+ in minimal form; this must define a polyhedron in which the
+ donor element is contained.
+ The recipient domain selects a subset of these constraints
+ that it can add to the recipient element.
+ For example: if the domain \p D1 is the Grid domain and \p D2
+ the NNC Polyhedron domain, then only the equality constraints are copied
+ from \p d1 to \p d2 and from \p d2 to \p d1.
+
+ \param d1
+ A pointset domain element;
+
+ \param d2
+ A pointset domain element;
+ */
+ void product_reduce(D1& d1, D2& d2);
+
+ //! Destructor.
+ ~Constraints_Reduction();
+};
+
+/*! \brief
+ This class provides the reduction method for the Congruences_Product
+ domain.
+
+ \ingroup PPL_CXX_interface
+ The reduction classes are used to instantiate the Partially_Reduced_Product
+ domain.
+
+ This class uses the minimized congruences defining each of the components.
+ For each of the congruences, it checks if the other component
+ intersects none, one or more than one hyperplane defined by the congruence
+ and adds equalities or emptiness as appropriate; in more detail:
+ Letting the components be d1 and d2, then, for each congruence cg
+ representing d1:
+ - if more than one hyperplane defined by cg intersects
+ d2, then d1 and d2 are unchanged;
+ - if exactly one hyperplane intersects d2, then d1 and d2 are
+ refined with the corresponding equality ;
+ - otherwise, d1 and d2 are set to empty.
+ Unless d1 and d2 are already empty, the process is repeated where the
+ roles of d1 and d2 are reversed.
+ If d1 or d2 is empty, then the emptiness is propagated.
+
+*/
+template <typename D1, typename D2>
+class Parma_Polyhedra_Library::Congruences_Reduction {
+public:
+ //! Default constructor.
+ Congruences_Reduction();
+
+ /*! \brief
+ The congruences reduction operator for detect emptiness or any equalities
+ implied by each of the congruences defining one of the components
+ and the bounds of the other component. It is assumed that the
+ components are already constraints reduced.
+
+ The minimized congruence system defining the domain element \p d1
+ is used to check if \p d2 intersects none, one or more than one
+ of the hyperplanes defined by the congruences: if it intersects none,
+ then product is set empty; if it intersects one, then the equality
+ defining this hyperplane is added to both components; otherwise,
+ the product is unchanged.
+ In each case, the donor domain must provide a congruence system
+ in minimal form.
+
+ \param d1
+ A pointset domain element;
+
+ \param d2
+ A pointset domain element;
+ */
+ void product_reduce(D1& d1, D2& d2);
+
+ //! Destructor.
+ ~Congruences_Reduction();
+};
+
+/*! \brief
+ This class provides the reduction method for the Shape_Preserving_Product
+ domain.
+
+ \ingroup PPL_CXX_interface
+ The reduction classes are used to instantiate the Partially_Reduced_Product
+ domain.
+
+ This reduction method includes the congruences reduction.
+ This class uses the minimized constraints defining each of the components.
+ For each of the constraints, it checks the frequency and value for the same
+ linear expression in the other component. If the constraint does not satisfy
+ the implied congruence, the inhomogeneous term is adjusted so that it does.
+ Note that, unless the congruences reduction adds equalities, the
+ shapes of the domains are unaltered.
+
+*/
+template <typename D1, typename D2>
+class Parma_Polyhedra_Library::Shape_Preserving_Reduction {
+public:
+ //! Default constructor.
+ Shape_Preserving_Reduction();
+
+ /*! \brief
+ The congruences reduction operator for detect emptiness or any equalities
+ implied by each of the congruences defining one of the components
+ and the bounds of the other component. It is assumed that the
+ components are already constraints reduced.
+
+ The minimized congruence system defining the domain element \p d1
+ is used to check if \p d2 intersects none, one or more than one
+ of the hyperplanes defined by the congruences: if it intersects none,
+ then product is set empty; if it intersects one, then the equality
+ defining this hyperplane is added to both components; otherwise,
+ the product is unchanged.
+ In each case, the donor domain must provide a congruence system
+ in minimal form.
+
+ \param d1
+ A pointset domain element;
+
+ \param d2
+ A pointset domain element;
+ */
+ void product_reduce(D1& d1, D2& d2);
+
+ //! Destructor.
+ ~Shape_Preserving_Reduction();
+};
+
+/*! \brief
+ This class provides the reduction method for the Direct_Product domain.
+
+ \ingroup PPL_CXX_interface
+ The reduction classes are used to instantiate the Partially_Reduced_Product
+ domain template parameter \p R. This class does no reduction at all.
+*/
+template <typename D1, typename D2>
+class Parma_Polyhedra_Library::No_Reduction {
+public:
+ //! Default constructor.
+ No_Reduction();
+
+ /*! \brief
+ The null reduction operator.
+
+ The parameters \p d1 and \p d2 are ignored.
+ */
+ void product_reduce(D1& d1, D2& d2);
+
+ //! Destructor.
+ ~No_Reduction();
+};
+
+//! The partially reduced product of two abstractions.
+/*! \ingroup PPL_CXX_interface
+
+ \warning
+ At present, the supported instantiations for the
+ two domain templates \p D1 and \p D2 are the simple pointset domains:
+ <CODE>C_Polyhedron</CODE>,
+ <CODE>NNC_Polyhedron</CODE>,
+ <CODE>Grid</CODE>,
+ <CODE>Octagonal_Shape\<T\></CODE>,
+ <CODE>BD_Shape\<T\></CODE>,
+ <CODE>Box\<T\></CODE>.
+
+ An object of the class <CODE>Partially_Reduced_Product\<D1, D2, R\></CODE>
+ represents the (partially reduced) product of two pointset domains \p D1
+ and \p D2 where the form of any reduction is defined by the
+ reduction class \p R.
+
+ Suppose \f$D_1\f$ and \f$D_2\f$ are two abstract domains
+ with concretization functions:
+ \f$\fund{\gamma_1}{D_1}{\Rset^n}\f$ and
+ \f$\fund{\gamma_2}{D_2}{\Rset^n}\f$, respectively.
+
+ The partially reduced product \f$D = D_1 \times D_2\f$,
+ for any reduction class \p R, has a concretization
+ \f$\fund{\gamma}{D}{\Rset^n}\f$
+ where, if \f$d = (d_1, d_2) \in D\f$
+ \f[
+ \gamma(d) = \gamma_1(d_1) \inters \gamma_2(d_2).
+ \f]
+
+ The operations are defined to be the result of applying the corresponding
+ operations on each of the components provided the product is already reduced
+ by the reduction method defined by \p R.
+ In particular, if \p R is the <CODE>No_Reduction\<D1, D2\></CODE> class,
+ then the class <CODE>Partially_Reduced_Product\<D1, D2, R\></CODE> domain
+ is the direct product as defined in \ref CC79 "[CC79]".
+
+ How the results on the components are interpreted and
+ combined depend on the specific test.
+ For example, the test for emptiness will first make sure
+ the product is reduced (using the reduction method provided by \p R
+ if it is not already known to be reduced) and then test if either component
+ is empty; thus, if \p R defines no reduction between its components and
+ \f$d = (G, P) \in (\Gset \times \Pset)\f$
+ is a direct product in one dimension where \f$G\f$ denotes the set of
+ numbers that are integral multiples of 3 while \f$P\f$ denotes the
+ set of numbers between 1 and 2, then an operation that tests for
+ emptiness should return false.
+ However, the test for the universe returns true if and only if the
+ test <CODE>is_universe()</CODE> on both components returns true.
+
+ \par
+ In all the examples it is assumed that the template \c R is the
+ <CODE>No_Reduction\<D1, D2\></CODE> class and that variables
+ \c x and \c y are defined (where they are used) as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code builds a direct product of a Grid and NNC Polyhedron,
+ corresponding to the positive even integer
+ pairs in \f$\Rset^2\f$, given as a system of congruences:
+ \code
+ Congruence_System cgs;
+ cgs.insert((x %= 0) / 2);
+ cgs.insert((y %= 0) / 2);
+ Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> >
+ dp(cgs);
+ dp.add_constraint(x >= 0);
+ dp.add_constraint(y >= 0);
+ \endcode
+
+ \par Example 2
+ The following code builds the same product
+ in \f$\Rset^2\f$:
+ \code
+ Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> > dp(2);
+ dp.add_constraint(x >= 0);
+ dp.add_constraint(y >= 0);
+ dp.add_congruence((x %= 0) / 2);
+ dp.add_congruence((y %= 0) / 2);
+ \endcode
+
+ \par Example 3
+ The following code will write "dp is empty":
+ \code
+ Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> > dp(1);
+ dp.add_congruence((x %= 0) / 2);
+ dp.add_congruence((x %= 1) / 2);
+ if (dp.is_empty())
+ cout << "dp is empty." << endl;
+ else
+ cout << "dp is not empty." << endl;
+ \endcode
+
+ \par Example 4
+ The following code will write "dp is not empty":
+ \code
+ Partially_Reduced_Product<Grid, NNC_Polyhedron, No_Reduction<D1, D2> > dp(1);
+ dp.add_congruence((x %= 0) / 2);
+ dp.add_constraint(x >= 1);
+ dp.add_constraint(x <= 1);
+ if (dp.is_empty())
+ cout << "dp is empty." << endl;
+ else
+ cout << "dp is not empty." << endl;
+ \endcode
+*/
+
+template <typename D1, typename D2, typename R>
+class Parma_Polyhedra_Library::Partially_Reduced_Product {
+public:
+ /*! \brief
+ Returns the maximum space dimension this product
+ can handle.
+ */
+ static dimension_type max_space_dimension();
+
+ //! Builds an object having the specified properties.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the pair;
+
+ \param kind
+ Specifies whether a universe or an empty pair has to be built.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Partially_Reduced_Product(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Builds a pair, copying a system of congruences.
+ /*!
+ The pair inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences to be approximated by the pair.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Partially_Reduced_Product(const Congruence_System& cgs);
+
+ //! Builds a pair, recycling a system of congruences.
+ /*!
+ The pair inherits the space dimension of the congruence system.
+
+ \param cgs
+ The system of congruences to be approximates by the pair.
+ Its data-structures may be recycled to build the pair.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Partially_Reduced_Product(Congruence_System& cgs);
+
+ //! Builds a pair, copying a system of constraints.
+ /*!
+ The pair inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints to be approximated by the pair.
+
+ \exception std::length_error
+ Thrown if \p num_dimensions exceeds the maximum allowed space
+ dimension.
+ */
+ explicit Partially_Reduced_Product(const Constraint_System& cs);
+
+ //! Builds a pair, recycling a system of constraints.
+ /*!
+ The pair inherits the space dimension of the constraint system.
+
+ \param cs
+ The system of constraints to be approximated by the pair.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p cs exceeds the maximum allowed
+ space dimension.
+ */
+ explicit Partially_Reduced_Product(Constraint_System& cs);
+
+ //! Builds a product, from a C polyhedron.
+ /*!
+ Builds a product containing \p ph using algorithms whose
+ complexity does not exceed the one specified by \p complexity.
+ If \p complexity is \p ANY_COMPLEXITY, then the built product is the
+ smallest one containing \p ph.
+ The product inherits the space dimension of the polyhedron.
+
+ \param ph
+ The polyhedron to be approximated by the product.
+
+ \param complexity
+ The complexity that will not be exceeded.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p ph exceeds the maximum allowed
+ space dimension.
+ */
+ explicit
+ Partially_Reduced_Product(const C_Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a product, from an NNC polyhedron.
+ /*!
+ Builds a product containing \p ph using algorithms whose
+ complexity does not exceed the one specified by \p complexity.
+ If \p complexity is \p ANY_COMPLEXITY, then the built product is the
+ smallest one containing \p ph.
+ The product inherits the space dimension of the polyhedron.
+
+ \param ph
+ The polyhedron to be approximated by the product.
+
+ \param complexity
+ The complexity that will not be exceeded.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p ph exceeds the maximum allowed
+ space dimension.
+ */
+ explicit
+ Partially_Reduced_Product(const NNC_Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a product, from a grid.
+ /*!
+ Builds a product containing \p gr.
+ The product inherits the space dimension of the grid.
+
+ \param gr
+ The grid to be approximated by the product.
+
+ \param complexity
+ The complexity is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p gr exceeds the maximum allowed
+ space dimension.
+ */
+ explicit
+ Partially_Reduced_Product(const Grid& gr,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a product out of a box.
+ /*!
+ Builds a product containing \p box.
+ The product inherits the space dimension of the box.
+
+ \param box
+ The box representing the pair to be built.
+
+ \param complexity
+ The complexity is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename Interval>
+ Partially_Reduced_Product(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a product out of a BD shape.
+ /*!
+ Builds a product containing \p bd.
+ The product inherits the space dimension of the BD shape.
+
+ \param bd
+ The BD shape representing the product to be built.
+
+ \param complexity
+ The complexity is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p bd exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename U>
+ Partially_Reduced_Product(const BD_Shape<U>& bd,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a product out of an octagonal shape.
+ /*!
+ Builds a product containing \p os.
+ The product inherits the space dimension of the octagonal shape.
+
+ \param os
+ The octagonal shape representing the product to be built.
+
+ \param complexity
+ The complexity is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p os exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename U>
+ Partially_Reduced_Product(const Octagonal_Shape<U>& os,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Ordinary copy constructor.
+ Partially_Reduced_Product(const Partially_Reduced_Product& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a conservative, upward approximation of \p y.
+ /*!
+ The complexity argument is ignored.
+ */
+ template <typename E1, typename E2, typename S>
+ explicit
+ Partially_Reduced_Product(const Partially_Reduced_Product<E1, E2, S>& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator. (\p *this and \p y can be
+ dimension-incompatible.)
+ */
+ Partially_Reduced_Product& operator=(const Partially_Reduced_Product& y);
+
+ //! \name Member Functions that Do Not Modify the Partially_Reduced_Product
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns the minimum \ref Affine_Independence_and_Affine_Dimension
+ "affine dimension"
+ (see also \ref Grid_Affine_Dimension "grid affine dimension")
+ of the components of \p *this.
+ */
+ dimension_type affine_dimension() const;
+
+ //! Returns a constant reference to the first of the pair.
+ const D1& domain1() const;
+
+ //! Returns a constant reference to the second of the pair.
+ const D2& domain2() const;
+
+ //! Returns a system of constraints which approximates \p *this.
+ Constraint_System constraints() const;
+
+ /*! \brief
+ Returns a system of constraints which approximates \p *this, in
+ reduced form.
+ */
+ Constraint_System minimized_constraints() const;
+
+ //! Returns a system of congruences which approximates \p *this.
+ Congruence_System congruences() const;
+
+ /*! \brief
+ Returns a system of congruences which approximates \p *this, in
+ reduced form.
+ */
+ Congruence_System minimized_congruences() const;
+
+ //! Returns the relations holding between \p *this and \p c.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+
+ Returns the Poly_Con_Relation \p r for \p *this:
+ suppose the first component returns \p r1 and the second \p r2,
+ then \p r implies <CODE>is_included()</CODE>
+ if and only if one or both of \p r1 and \p r2 imply
+ <CODE>is_included()</CODE>;
+ \p r implies <CODE>saturates()</CODE>
+ if and only if one or both of \p r1 and \p r2 imply
+ <CODE>saturates()</CODE>;
+ \p r implies <CODE>is_disjoint()</CODE>
+ if and only if one or both of \p r1 and \p r2 imply
+ <CODE>is_disjoint()</CODE>;
+ and \p r implies <CODE>nothing()</CODE>
+ if and only if both \p r1 and \p r2 imply
+ <CODE>strictly_intersects()</CODE>.
+ */
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ //! Returns the relations holding between \p *this and \p cg.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ //! Returns the relations holding between \p *this and \p g.
+ /*
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+
+ Returns the Poly_Gen_Relation \p r for \p *this:
+ suppose the first component returns \p r1 and the second \p r2,
+ then \p r = <CODE>subsumes()</CODE>
+ if and only if \p r1 = \p r2 = <CODE>subsumes()</CODE>;
+ and \p r = <CODE>nothing()</CODE>
+ if and only if one or both of \p r1 and \p r2 = <CODE>nothing()</CODE>;
+ */
+ Poly_Gen_Relation relation_with(const Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if either of the components
+ of \p *this are empty.
+ */
+ bool is_empty() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if both of the components
+ of \p *this are the universe.
+ */
+ bool is_universe() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if both of the components
+ of \p *this are topologically closed subsets of the vector space.
+ */
+ bool is_topologically_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this and \p y are
+ componentwise disjoint.
+
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are dimension-incompatible.
+ */
+ bool is_disjoint_from(const Partially_Reduced_Product& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if a component of \p *this
+ is discrete.
+ */
+ bool is_discrete() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if a component of \p *this
+ is bounded.
+ */
+ bool is_bounded() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ bool constrains(Variable var) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
+ /*!
+ This method is the same as bounds_from_below.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p expr is bounded in \p *this.
+ /*!
+ This method is the same as bounds_from_above.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from above in \p *this, in which case the
+ supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if the supremum value can be reached in \p this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded by \p *this,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d and \p
+ maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from above in \p *this, in which case the
+ supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if the supremum value can be reached in \p this.
+
+ \param g
+ When maximization succeeds, will be assigned the point or
+ closure point where \p expr reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded by \p *this,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p g are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from below i \p *this, in which case the
+ infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if the infimum value can be reached in \p this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty and
+ \p expr is bounded from below in \p *this, in which case the
+ infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if the infimum value can be reached in \p this.
+
+ \param g
+ When minimization succeeds, will be assigned the point or closure
+ point where \p expr reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p point are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if each component of \p *this
+ contains the corresponding component of \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool contains(const Partially_Reduced_Product& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if each component of \p *this
+ strictly contains the corresponding component of \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool strictly_contains(const Partially_Reduced_Product& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //@} // Member Functions that Do Not Modify the Partially_Reduced_Product
+
+ //! \name Space Dimension Preserving Member Functions that May Modify the Partially_Reduced_Product
+ //@{
+
+ //! Adds constraint \p c to \p *this.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Use the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ //! Adds a copy of congruence \p cg to \p *this.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are
+ dimension-incompatible.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Use the congruence \p cg to refine \p *this.
+
+ \param cg
+ The congruence to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ //! Adds a copy of the congruences in \p cgs to \p *this.
+ /*!
+ \param cgs
+ The congruence system to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Use the congruences in \p cgs to refine \p *this.
+
+ \param cgs
+ The congruences to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ //! Adds the congruences in \p cgs to *this.
+ /*!
+ \param cgs
+ The congruence system to be added that may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+
+ \warning
+ The only assumption that can be made about \p cgs upon successful
+ or exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_congruences(Congruence_System& cgs);
+
+ //! Adds a copy of the constraint system in \p cs to \p *this.
+ /*!
+ \param cs
+ The constraint system to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Use the constraints in \p cs to refine \p *this.
+
+ \param cs
+ The constraints to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ //! Adds the constraint system in \p cs to \p *this.
+ /*!
+ \param cs
+ The constraint system to be added that may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+
+ \warning
+ The only assumption that can be made about \p cs upon successful
+ or exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_constraints(Constraint_System& cs);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ /*! \brief
+ Assigns to \p *this the componentwise intersection of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void intersection_assign(const Partially_Reduced_Product& y);
+
+ /*! \brief
+ Assigns to \p *this an upper bound of \p *this and \p y
+ computed on the corresponding components.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void upper_bound_assign(const Partially_Reduced_Product& y);
+
+ /*! \brief
+ Assigns to \p *this an upper bound of \p *this and \p y
+ computed on the corresponding components.
+ If it is exact on each of the components of \p *this, <CODE>true</CODE>
+ is returned, otherwise <CODE>false</CODE> is returned.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool upper_bound_assign_if_exact(const Partially_Reduced_Product& y);
+
+ /*! \brief
+ Assigns to \p *this an approximation of the set-theoretic difference
+ of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void difference_assign(const Partially_Reduced_Product& y);
+
+ /*! \brief
+ Assigns to \p *this the \ref Single_Update_Affine_Functions
+ "affine image" of \p
+ *this under the function mapping variable \p var to the affine
+ expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of
+ \p *this.
+
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the \ref Single_Update_Affine_Functions
+ "affine preimage" of
+ \p *this under the function mapping variable \p var to the affine
+ expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is substituted;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this.
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym
+ (see also \ref Grid_Generalized_Image "generalized affine relation".)
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+ (see also \ref Grid_Generalized_Image "generalized affine relation".)
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void
+ generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+ (see also \ref Grid_Generalized_Image "generalized affine relation".)
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+ (see also \ref Grid_Generalized_Image "generalized affine relation".)
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*!
+ \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*!
+ \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the result of computing the \ref Time_Elapse_Operator
+ "time-elapse" between \p *this and \p y.
+ (See also \ref Grid_Time_Elapse "time-elapse".)
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void time_elapse_assign(const Partially_Reduced_Product& y);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ // TODO: Add a way to call other widenings.
+
+ // CHECKME: This may not be a real widening; it depends on the reduction
+ // class R and the widening used.
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ "widening" between \p *this and \p y.
+
+ This widening uses either the congruence or generator systems
+ depending on which of the systems describing x and y
+ are up to date and minimized.
+
+ \param y
+ A product that <EM>must</EM> be contained in \p *this;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void widening_assign(const Partially_Reduced_Product& y,
+ unsigned* tp = NULL);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ //@} // Space Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ /*! \brief
+ Adds \p m new space dimensions and embeds the components
+ of \p *this in the new vector space.
+
+ \param m
+ The number of dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the vector
+ space to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Adds \p m new space dimensions and does not embed the components
+ in the new vector space.
+
+ \param m
+ The number of space dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ /*! \brief
+ Assigns to the first (resp., second) component of \p *this
+ the "concatenation" of the first (resp., second) components
+ of \p *this and \p y, taken in this order.
+ See also \ref Concatenating_Polyhedra.
+
+ \exception std::length_error
+ Thrown if the concatenation would cause the vector space
+ to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void concatenate_assign(const Partially_Reduced_Product& y);
+
+ //! Removes all the specified dimensions from the vector space.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher dimensions of the vector space so that the
+ resulting space will have dimension \p new_dimension.
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimensions is greater than the space dimension of
+ \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
+
+ If \p pfunc maps only some of the dimensions of \p *this then the
+ rest will be projected away.
+
+ If the highest dimension mapped to by \p pfunc is higher than the
+ highest dimension in \p *this then the number of dimensions in \p
+ *this will be increased to the highest dimension mapped to by \p
+ pfunc.
+
+ \param pfunc
+ The partial function specifying the destiny of each space
+ dimension.
+
+ The template class <CODE>Partial_Function</CODE> must provide the following
+ methods.
+ \code
+ bool has_empty_codomain() const
+ \endcode
+ returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty codomain (i.e., it is always undefined).
+ The <CODE>has_empty_codomain()</CODE> method will always be called
+ before the methods below. However, if
+ <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
+ of the functions below will be called.
+ \code
+ dimension_type max_in_codomain() const
+ \endcode
+ returns the maximum value that belongs to the codomain of the
+ partial function.
+ The <CODE>max_in_codomain()</CODE> method is called at most once.
+ \code
+ bool maps(dimension_type i, dimension_type& j) const
+ \endcode
+ Let \f$f\f$ be the represented function and \f$k\f$ be the value
+ of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
+ assigned to \p j and <CODE>true</CODE> is returned. If \f$f\f$ is
+ undefined in \f$k\f$, then <CODE>false</CODE> is returned.
+ This method is called at most \f$n\f$ times, where \f$n\f$ is the
+ dimension of the vector space enclosing \p *this.
+
+ The result is undefined if \p pfunc does not encode a partial
+ function with the properties described in
+ \ref Mapping_the_Dimensions_of_the_Vector_Space
+ "specification of the mapping operator".
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector
+ space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the vector
+ space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref Expanding_One_Dimension_of_the_Vector_Space_to_Multiple_Dimensions
+ "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars. Also
+ thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are
+ \ref Folding_Multiple_Dimensions_of_the_Vector_Space_into_One_Dimension
+ "folded" into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+ friend bool operator==<>(const Partially_Reduced_Product<D1, D2, R>& x,
+ const Partially_Reduced_Product<D1, D2, R>& y);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators::
+ operator<<<>(std::ostream& s, const Partially_Reduced_Product<D1, D2, R>& dp);
+
+ //! \name Miscellaneous Member Functions
+ //@{
+
+ //! Destructor.
+ ~Partially_Reduced_Product();
+
+ /*! \brief
+ Swaps \p *this with product \p y. (\p *this and \p y can be
+ dimension-incompatible.)
+ */
+ void m_swap(Partially_Reduced_Product& y);
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If \p x and \p y are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ //@} // Miscellaneous Member Functions
+
+ //! Reduce.
+ /*
+ \return
+ <CODE>true</CODE> if and only if either of the resulting component
+ is strictly contained in the respective original.
+ */
+ bool reduce() const;
+
+protected:
+ //! The type of the first component.
+ typedef D1 Domain1;
+
+ //! The type of the second component.
+ typedef D2 Domain2;
+
+ //! The first component.
+ D1 d1;
+
+ //! The second component.
+ D2 d2;
+
+protected:
+ //! Clears the reduced flag.
+ void clear_reduced_flag() const;
+
+ //! Sets the reduced flag.
+ void set_reduced_flag() const;
+
+ //! Return <CODE>true</CODE> if and only if the reduced flag is set.
+ bool is_reduced() const;
+
+ /*! \brief
+ Flag to record whether the components are reduced with respect
+ to each other and the reduction class.
+ */
+ bool reduced;
+
+private:
+ void throw_space_dimension_overflow(const char* method,
+ const char* reason);
+};
+
+namespace Parma_Polyhedra_Library {
+
+/*! \brief
+ This class is temporary and will be removed when template typedefs will
+ be supported in C++.
+
+ When template typedefs will be supported in C++, what now is verbosely
+ denoted by <CODE>Domain_Product\<Domain1, Domain2\>::%Direct_Product</CODE>
+ will simply be denoted by <CODE>Direct_Product\<Domain1, Domain2\></CODE>.
+*/
+template <typename D1, typename D2>
+class Domain_Product {
+public:
+ typedef Partially_Reduced_Product<D1, D2, No_Reduction<D1, D2> >
+ Direct_Product;
+
+ typedef Partially_Reduced_Product<D1, D2, Smash_Reduction<D1, D2> >
+ Smash_Product;
+
+ typedef Partially_Reduced_Product<D1, D2, Constraints_Reduction<D1, D2> >
+ Constraints_Product;
+
+ typedef Partially_Reduced_Product<D1, D2, Congruences_Reduction<D1, D2> >
+ Congruences_Product;
+
+ typedef Partially_Reduced_Product<D1, D2, Shape_Preserving_Reduction<D1, D2> >
+ Shape_Preserving_Product;
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Partially_Reduced_Product_inlines.hh"
+#include "Partially_Reduced_Product_templates.hh"
+
+#endif // !defined(PPL_Partially_Reduced_Product_defs_hh)
diff --git a/src/Partially_Reduced_Product_inlines.hh b/src/Partially_Reduced_Product_inlines.hh
new file mode 100644
index 0000000..378b5a7
--- /dev/null
+++ b/src/Partially_Reduced_Product_inlines.hh
@@ -0,0 +1,815 @@
+/* Partially_Reduced_Product class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Partially_Reduced_Product_inlines_hh
+#define PPL_Partially_Reduced_Product_inlines_hh 1
+
+#include "Constraint_System_defs.hh"
+#include "Congruence_System_defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Grid_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D1, typename D2, typename R>
+inline dimension_type
+Partially_Reduced_Product<D1, D2, R>::max_space_dimension() {
+ return (D1::max_space_dimension() < D2::max_space_dimension())
+ ? D1::max_space_dimension()
+ : D2::max_space_dimension();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(dimension_type num_dimensions,
+ const Degenerate_Element kind)
+ : d1(num_dimensions <= max_space_dimension()
+ ? num_dimensions
+ : (throw_space_dimension_overflow("Partially_Reduced_Product(n, k)",
+ "n exceeds the maximum "
+ "allowed space dimension"),
+ num_dimensions),
+ kind),
+ d2(num_dimensions, kind) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Congruence_System& cgs)
+ : d1(cgs), d2(cgs) {
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(Congruence_System& cgs)
+ : d1(const_cast<const Congruence_System&>(cgs)), d2(cgs) {
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Constraint_System& cs)
+ : d1(cs), d2(cs) {
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(Constraint_System& cs)
+ : d1(const_cast<const Constraint_System&>(cs)), d2(cs) {
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const C_Polyhedron& ph,
+ Complexity_Class complexity)
+ : d1(ph, complexity), d2(ph, complexity) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const NNC_Polyhedron& ph,
+ Complexity_Class complexity)
+ : d1(ph, complexity), d2(ph, complexity) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Grid& gr, Complexity_Class)
+ : d1(gr), d2(gr) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+template <typename Interval>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Box<Interval>& box, Complexity_Class)
+ : d1(box), d2(box) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+template <typename U>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const BD_Shape<U>& bd, Complexity_Class)
+ : d1(bd), d2(bd) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+template <typename U>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Octagonal_Shape<U>& os, Complexity_Class)
+ : d1(os), d2(os) {
+ set_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Partially_Reduced_Product& y,
+ Complexity_Class)
+ : d1(y.d1), d2(y.d2) {
+ reduced = y.reduced;
+}
+
+template <typename D1, typename D2, typename R>
+template <typename E1, typename E2, typename S>
+inline
+Partially_Reduced_Product<D1, D2, R>
+::Partially_Reduced_Product(const Partially_Reduced_Product<E1, E2, S>& y,
+ Complexity_Class complexity)
+ : d1(y.space_dimension()), d2(y.space_dimension()), reduced(false) {
+ Partially_Reduced_Product<D1, D2, R> pg1(y.domain1(), complexity);
+ Partially_Reduced_Product<D1, D2, R> pg2(y.domain2(), complexity);
+ pg1.intersection_assign(pg2);
+ m_swap(pg1);
+}
+
+template <typename D1, typename D2, typename R>
+inline
+Partially_Reduced_Product<D1, D2, R>::~Partially_Reduced_Product() {
+}
+
+template <typename D1, typename D2, typename R>
+inline memory_size_type
+Partially_Reduced_Product<D1, D2, R>::external_memory_in_bytes() const {
+ return d1.external_memory_in_bytes() + d2.external_memory_in_bytes();
+}
+
+template <typename D1, typename D2, typename R>
+inline memory_size_type
+Partially_Reduced_Product<D1, D2, R>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename D1, typename D2, typename R>
+inline dimension_type
+Partially_Reduced_Product<D1, D2, R>::space_dimension() const {
+ PPL_ASSERT(d1.space_dimension() == d2.space_dimension());
+ return d1.space_dimension();
+}
+
+template <typename D1, typename D2, typename R>
+inline dimension_type
+Partially_Reduced_Product<D1, D2, R>::affine_dimension() const {
+ reduce();
+ const dimension_type d1_dim = d1.affine_dimension();
+ const dimension_type d2_dim = d2.affine_dimension();
+ return std::min(d1_dim, d2_dim);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::unconstrain(const Variable var) {
+ reduce();
+ d1.unconstrain(var);
+ d2.unconstrain(var);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::unconstrain(const Variables_Set& vars) {
+ reduce();
+ d1.unconstrain(vars);
+ d2.unconstrain(vars);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::intersection_assign(const Partially_Reduced_Product& y) {
+ d1.intersection_assign(y.d1);
+ d2.intersection_assign(y.d2);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::difference_assign(const Partially_Reduced_Product& y) {
+ reduce();
+ y.reduce();
+ d1.difference_assign(y.d1);
+ d2.difference_assign(y.d2);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::upper_bound_assign(const Partially_Reduced_Product& y) {
+ reduce();
+ y.reduce();
+ d1.upper_bound_assign(y.d1);
+ d2.upper_bound_assign(y.d2);
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>
+::upper_bound_assign_if_exact(const Partially_Reduced_Product& y) {
+ reduce();
+ y.reduce();
+ D1 d1_copy = d1;
+ bool ub_exact = d1_copy.upper_bound_assign_if_exact(y.d1);
+ if (!ub_exact)
+ return false;
+ ub_exact = d2.upper_bound_assign_if_exact(y.d2);
+ if (!ub_exact)
+ return false;
+ using std::swap;
+ swap(d1, d1_copy);
+ return true;
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ d1.affine_image(var, expr, denominator);
+ d2.affine_image(var, expr, denominator);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ d1.affine_preimage(var, expr, denominator);
+ d2.affine_preimage(var, expr, denominator);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::generalized_affine_image(Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ d1.generalized_affine_image(var, relsym, expr, denominator);
+ d2.generalized_affine_image(var, relsym, expr, denominator);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::generalized_affine_preimage(Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ d1.generalized_affine_preimage(var, relsym, expr, denominator);
+ d2.generalized_affine_preimage(var, relsym, expr, denominator);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::generalized_affine_image(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ d1.generalized_affine_image(lhs, relsym, rhs);
+ d2.generalized_affine_image(lhs, relsym, rhs);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::generalized_affine_preimage(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ d1.generalized_affine_preimage(lhs, relsym, rhs);
+ d2.generalized_affine_preimage(lhs, relsym, rhs);
+ clear_reduced_flag();
+}
+
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ d1.bounded_affine_image(var, lb_expr, ub_expr, denominator);
+ d2.bounded_affine_image(var, lb_expr, ub_expr, denominator);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ d1.bounded_affine_preimage(var, lb_expr, ub_expr, denominator);
+ d2.bounded_affine_preimage(var, lb_expr, ub_expr, denominator);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::time_elapse_assign(const Partially_Reduced_Product& y) {
+ reduce();
+ y.reduce();
+ d1.time_elapse_assign(y.d1);
+ d2.time_elapse_assign(y.d2);
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::topological_closure_assign() {
+ d1.topological_closure_assign();
+ d2.topological_closure_assign();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::m_swap(Partially_Reduced_Product& y) {
+ using std::swap;
+ swap(d1, y.d1);
+ swap(d2, y.d2);
+ swap(reduced, y.reduced);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::add_constraint(const Constraint& c) {
+ d1.add_constraint(c);
+ d2.add_constraint(c);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::refine_with_constraint(const Constraint& c) {
+ d1.refine_with_constraint(c);
+ d2.refine_with_constraint(c);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::add_congruence(const Congruence& cg) {
+ d1.add_congruence(cg);
+ d2.add_congruence(cg);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::refine_with_congruence(const Congruence& cg) {
+ d1.refine_with_congruence(cg);
+ d2.refine_with_congruence(cg);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::add_constraints(const Constraint_System& cs) {
+ d1.add_constraints(cs);
+ d2.add_constraints(cs);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::refine_with_constraints(const Constraint_System& cs) {
+ d1.refine_with_constraints(cs);
+ d2.refine_with_constraints(cs);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::add_congruences(const Congruence_System& cgs) {
+ d1.add_congruences(cgs);
+ d2.add_congruences(cgs);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::refine_with_congruences(const Congruence_System& cgs) {
+ d1.refine_with_congruences(cgs);
+ d2.refine_with_congruences(cgs);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::drop_some_non_integer_points(Complexity_Class complexity) {
+ reduce();
+ d1.drop_some_non_integer_points(complexity);
+ d2.drop_some_non_integer_points(complexity);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity) {
+ reduce();
+ d1.drop_some_non_integer_points(vars, complexity);
+ d2.drop_some_non_integer_points(vars, complexity);
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline Partially_Reduced_Product<D1, D2, R>&
+Partially_Reduced_Product<D1, D2, R>
+::operator=(const Partially_Reduced_Product& y) {
+ d1 = y.d1;
+ d2 = y.d2;
+ reduced = y.reduced;
+ return *this;
+}
+
+template <typename D1, typename D2, typename R>
+inline const D1&
+Partially_Reduced_Product<D1, D2, R>::domain1() const {
+ reduce();
+ return d1;
+}
+
+template <typename D1, typename D2, typename R>
+inline const D2&
+Partially_Reduced_Product<D1, D2, R>::domain2() const {
+ reduce();
+ return d2;
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::is_empty() const {
+ reduce();
+ return d1.is_empty() || d2.is_empty();
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::is_universe() const {
+ return d1.is_universe() && d2.is_universe();
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::is_topologically_closed() const {
+ reduce();
+ return d1.is_topologically_closed() && d2.is_topologically_closed();
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>
+::is_disjoint_from(const Partially_Reduced_Product& y) const {
+ reduce();
+ y.reduce();
+ return d1.is_disjoint_from(y.d1) || d2.is_disjoint_from(y.d2);
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::is_discrete() const {
+ reduce();
+ return d1.is_discrete() || d2.is_discrete();
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::is_bounded() const {
+ reduce();
+ return d1.is_bounded() || d2.is_bounded();
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>
+::bounds_from_above(const Linear_Expression& expr) const {
+ reduce();
+ return d1.bounds_from_above(expr) || d2.bounds_from_above(expr);
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>
+::bounds_from_below(const Linear_Expression& expr) const {
+ reduce();
+ return d1.bounds_from_below(expr) || d2.bounds_from_below(expr);
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::constrains(Variable var) const {
+ reduce();
+ return d1.constrains(var) || d2.constrains(var);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::widening_assign(const Partially_Reduced_Product& y,
+ unsigned* tp) {
+ // FIXME(0.10.1): In general this is _NOT_ a widening since the reduction
+ // may mean that the sequence does not satisfy the ascending
+ // chain condition.
+ // However, for the direct, smash and constraints product
+ // it may be ok - but this still needs checking.
+ reduce();
+ y.reduce();
+ d1.widening_assign(y.d1, tp);
+ d2.widening_assign(y.d2, tp);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::add_space_dimensions_and_embed(dimension_type m) {
+ d1.add_space_dimensions_and_embed(m);
+ d2.add_space_dimensions_and_embed(m);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::add_space_dimensions_and_project(dimension_type m) {
+ d1.add_space_dimensions_and_project(m);
+ d2.add_space_dimensions_and_project(m);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::concatenate_assign(const Partially_Reduced_Product& y) {
+ d1.concatenate_assign(y.d1);
+ d2.concatenate_assign(y.d2);
+ if (!is_reduced() || !y.is_reduced())
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::remove_space_dimensions(const Variables_Set& vars) {
+ d1.remove_space_dimensions(vars);
+ d2.remove_space_dimensions(vars);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::remove_higher_space_dimensions(dimension_type new_dimension) {
+ d1.remove_higher_space_dimensions(new_dimension);
+ d2.remove_higher_space_dimensions(new_dimension);
+}
+
+template <typename D1, typename D2, typename R>
+template <typename Partial_Function>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::map_space_dimensions(const Partial_Function& pfunc) {
+ d1.map_space_dimensions(pfunc);
+ d2.map_space_dimensions(pfunc);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::expand_space_dimension(Variable var, dimension_type m) {
+ d1.expand_space_dimension(var, m);
+ d2.expand_space_dimension(var, m);
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>
+::fold_space_dimensions(const Variables_Set& vars,
+ Variable dest) {
+ d1.fold_space_dimensions(vars, dest);
+ d2.fold_space_dimensions(vars, dest);
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>
+::contains(const Partially_Reduced_Product& y) const {
+ reduce();
+ y.reduce();
+ return d1.contains(y.d1) && d2.contains(y.d2);
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>
+::strictly_contains(const Partially_Reduced_Product& y) const {
+ reduce();
+ y.reduce();
+ return (d1.contains(y.d1) && d2.strictly_contains(y.d2))
+ || (d2.contains(y.d2) && d1.strictly_contains(y.d1));
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::reduce() const {
+ Partially_Reduced_Product& dp
+ = const_cast<Partially_Reduced_Product&>(*this);
+ if (dp.is_reduced())
+ return false;
+ R r;
+ r.product_reduce(dp.d1, dp.d2);
+ set_reduced_flag();
+ return true;
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::is_reduced() const {
+ return reduced;
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::clear_reduced_flag() const {
+ const_cast<Partially_Reduced_Product&>(*this).reduced = false;
+}
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::set_reduced_flag() const {
+ const_cast<Partially_Reduced_Product&>(*this).reduced = true;
+}
+
+PPL_OUTPUT_3_PARAM_TEMPLATE_DEFINITIONS(D1, D2, R, Partially_Reduced_Product)
+
+template <typename D1, typename D2, typename R>
+inline void
+Partially_Reduced_Product<D1, D2, R>::ascii_dump(std::ostream& s) const {
+ const char yes = '+';
+ const char no = '-';
+ s << "Partially_Reduced_Product\n";
+ s << (reduced ? yes : no) << "reduced\n";
+ s << "Domain 1:\n";
+ d1.ascii_dump(s);
+ s << "Domain 2:\n";
+ d2.ascii_dump(s);
+}
+
+template <typename D1, typename D2, typename R>
+inline int32_t
+Partially_Reduced_Product<D1, D2, R>::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+/*! \relates Parma_Polyhedra_Library::Partially_Reduced_Product */
+template <typename D1, typename D2, typename R>
+inline bool
+operator==(const Partially_Reduced_Product<D1, D2, R>& x,
+ const Partially_Reduced_Product<D1, D2, R>& y) {
+ x.reduce();
+ y.reduce();
+ return x.d1 == y.d1 && x.d2 == y.d2;
+}
+
+/*! \relates Parma_Polyhedra_Library::Partially_Reduced_Product */
+template <typename D1, typename D2, typename R>
+inline bool
+operator!=(const Partially_Reduced_Product<D1, D2, R>& x,
+ const Partially_Reduced_Product<D1, D2, R>& y) {
+ return !(x == y);
+}
+
+/*! \relates Parma_Polyhedra_Library::Partially_Reduced_Product */
+template <typename D1, typename D2, typename R>
+inline std::ostream&
+IO_Operators::operator<<(std::ostream& s,
+ const Partially_Reduced_Product<D1, D2, R>& dp) {
+ return s << "Domain 1:\n"
+ << dp.d1
+ << "Domain 2:\n"
+ << dp.d2;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D1, typename D2>
+inline
+No_Reduction<D1, D2>::No_Reduction() {
+}
+
+template <typename D1, typename D2>
+void No_Reduction<D1, D2>::product_reduce(D1&, D2&) {
+}
+
+template <typename D1, typename D2>
+inline
+No_Reduction<D1, D2>::~No_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Smash_Reduction<D1, D2>::Smash_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Smash_Reduction<D1, D2>::~Smash_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Constraints_Reduction<D1, D2>::Constraints_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Constraints_Reduction<D1, D2>::~Constraints_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Congruences_Reduction<D1, D2>::Congruences_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Congruences_Reduction<D1, D2>::~Congruences_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Shape_Preserving_Reduction<D1, D2>::Shape_Preserving_Reduction() {
+}
+
+template <typename D1, typename D2>
+inline
+Shape_Preserving_Reduction<D1, D2>::~Shape_Preserving_Reduction() {
+}
+
+/*! \relates Partially_Reduced_Product */
+template <typename D1, typename D2, typename R>
+inline void
+swap(Partially_Reduced_Product<D1, D2, R>& x,
+ Partially_Reduced_Product<D1, D2, R>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Partially_Reduced_Product_inlines_hh)
diff --git a/src/Partially_Reduced_Product_templates.hh b/src/Partially_Reduced_Product_templates.hh
new file mode 100644
index 0000000..791ece7
--- /dev/null
+++ b/src/Partially_Reduced_Product_templates.hh
@@ -0,0 +1,710 @@
+/* Partially_Reduced_Product class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Partially_Reduced_Product_templates_hh
+#define PPL_Partially_Reduced_Product_templates_hh 1
+
+#include "Grid_Generator_defs.hh"
+#include "Grid_Generator_System_defs.hh"
+#include "Grid_Generator_System_inlines.hh"
+#include <algorithm>
+#include <deque>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D1, typename D2, typename R>
+void
+Partially_Reduced_Product<D1, D2, R>
+::throw_space_dimension_overflow(const char* method,
+ const char* reason) {
+ std::ostringstream s;
+ s << "PPL::Partially_Reduced_Product::" << method << ":" << std::endl
+ << reason << ".";
+ throw std::length_error(s.str());
+}
+
+template <typename D1, typename D2, typename R>
+Constraint_System
+Partially_Reduced_Product<D1, D2, R>::constraints() const {
+ reduce();
+ Constraint_System cs = d2.constraints();
+ const Constraint_System& cs1 = d1.constraints();
+ for (Constraint_System::const_iterator i = cs1.begin(),
+ cs_end = cs1.end(); i != cs_end; ++i)
+ cs.insert(*i);
+ return cs;
+}
+
+template <typename D1, typename D2, typename R>
+Constraint_System
+Partially_Reduced_Product<D1, D2, R>::minimized_constraints() const {
+ reduce();
+ Constraint_System cs = d2.constraints();
+ const Constraint_System& cs1 = d1.constraints();
+ for (Constraint_System::const_iterator i = cs1.begin(),
+ cs_end = cs1.end(); i != cs_end; ++i)
+ cs.insert(*i);
+ if (cs.has_strict_inequalities()) {
+ NNC_Polyhedron ph(cs);
+ return ph.minimized_constraints();
+ }
+ else {
+ C_Polyhedron ph(cs);
+ return ph.minimized_constraints();
+ }
+}
+
+template <typename D1, typename D2, typename R>
+Congruence_System
+Partially_Reduced_Product<D1, D2, R>::congruences() const {
+ reduce();
+ Congruence_System cgs = d2.congruences();
+ const Congruence_System& cgs1 = d1.congruences();
+ for (Congruence_System::const_iterator i = cgs1.begin(),
+ cgs_end = cgs1.end(); i != cgs_end; ++i)
+ cgs.insert(*i);
+ return cgs;
+}
+
+template <typename D1, typename D2, typename R>
+Congruence_System
+Partially_Reduced_Product<D1, D2, R>::minimized_congruences() const {
+ reduce();
+ Congruence_System cgs = d2.congruences();
+ const Congruence_System& cgs1 = d1.congruences();
+ for (Congruence_System::const_iterator i = cgs1.begin(),
+ cgs_end = cgs1.end(); i != cgs_end; ++i)
+ cgs.insert(*i);
+ Grid gr(cgs);
+ return gr.minimized_congruences();
+}
+
+template <typename D1, typename D2, typename R>
+void
+Partially_Reduced_Product<D1, D2, R>
+::add_recycled_constraints(Constraint_System& cs) {
+ if (d1.can_recycle_constraint_systems()) {
+ d2.refine_with_constraints(cs);
+ d1.add_recycled_constraints(cs);
+ }
+ else
+ if (d2.can_recycle_constraint_systems()) {
+ d1.refine_with_constraints(cs);
+ d2.add_recycled_constraints(cs);
+ }
+ else {
+ d1.add_constraints(cs);
+ d2.add_constraints(cs);
+ }
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+void
+Partially_Reduced_Product<D1, D2, R>
+::add_recycled_congruences(Congruence_System& cgs) {
+ if (d1.can_recycle_congruence_systems()) {
+ d2.refine_with_congruences(cgs);
+ d1.add_recycled_congruences(cgs);
+ }
+ else
+ if (d2.can_recycle_congruence_systems()) {
+ d1.refine_with_congruences(cgs);
+ d2.add_recycled_congruences(cgs);
+ }
+ else {
+ d1.add_congruences(cgs);
+ d2.add_congruences(cgs);
+ }
+ clear_reduced_flag();
+}
+
+template <typename D1, typename D2, typename R>
+Poly_Gen_Relation
+Partially_Reduced_Product<D1, D2, R>
+::relation_with(const Generator& g) const {
+ reduce();
+ if (Poly_Gen_Relation::nothing() == d1.relation_with(g)
+ || Poly_Gen_Relation::nothing() == d2.relation_with(g))
+ return Poly_Gen_Relation::nothing();
+ else
+ return Poly_Gen_Relation::subsumes();
+}
+
+template <typename D1, typename D2, typename R>
+Poly_Con_Relation
+Partially_Reduced_Product<D1, D2, R>
+::relation_with(const Constraint& c) const {
+ reduce();
+ Poly_Con_Relation relation1 = d1.relation_with(c);
+ Poly_Con_Relation relation2 = d2.relation_with(c);
+
+ Poly_Con_Relation result = Poly_Con_Relation::nothing();
+
+ if (relation1.implies(Poly_Con_Relation::is_included()))
+ result = result && Poly_Con_Relation::is_included();
+ else if (relation2.implies(Poly_Con_Relation::is_included()))
+ result = result && Poly_Con_Relation::is_included();
+ if (relation1.implies(Poly_Con_Relation::saturates()))
+ result = result && Poly_Con_Relation::saturates();
+ else if (relation2.implies(Poly_Con_Relation::saturates()))
+ result = result && Poly_Con_Relation::saturates();
+ if (relation1.implies(Poly_Con_Relation::is_disjoint()))
+ result = result && Poly_Con_Relation::is_disjoint();
+ else if (relation2.implies(Poly_Con_Relation::is_disjoint()))
+ result = result && Poly_Con_Relation::is_disjoint();
+
+ return result;
+}
+
+template <typename D1, typename D2, typename R>
+Poly_Con_Relation
+Partially_Reduced_Product<D1, D2, R>
+::relation_with(const Congruence& cg) const {
+ reduce();
+ Poly_Con_Relation relation1 = d1.relation_with(cg);
+ Poly_Con_Relation relation2 = d2.relation_with(cg);
+
+ Poly_Con_Relation result = Poly_Con_Relation::nothing();
+
+ if (relation1.implies(Poly_Con_Relation::is_included()))
+ result = result && Poly_Con_Relation::is_included();
+ else if (relation2.implies(Poly_Con_Relation::is_included()))
+ result = result && Poly_Con_Relation::is_included();
+ if (relation1.implies(Poly_Con_Relation::saturates()))
+ result = result && Poly_Con_Relation::saturates();
+ else if (relation2.implies(Poly_Con_Relation::saturates()))
+ result = result && Poly_Con_Relation::saturates();
+ if (relation1.implies(Poly_Con_Relation::is_disjoint()))
+ result = result && Poly_Con_Relation::is_disjoint();
+ else if (relation2.implies(Poly_Con_Relation::is_disjoint()))
+ result = result && Poly_Con_Relation::is_disjoint();
+
+ return result;
+}
+
+template <typename D1, typename D2, typename R>
+bool
+Partially_Reduced_Product<D1, D2, R>
+::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n,
+ Coefficient& sup_d,
+ bool& maximum) const {
+ reduce();
+
+ if (is_empty())
+ return false;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(sup1_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(sup1_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(sup2_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(sup2_d);
+ bool maximum1;
+ bool maximum2;
+ bool r1 = d1.maximize(expr, sup1_n, sup1_d, maximum1);
+ bool r2 = d2.maximize(expr, sup2_n, sup2_d, maximum2);
+ // If neither is bounded from above, return false.
+ if (!r1 && !r2)
+ return false;
+ // If only d2 is bounded from above, then use the values for d2.
+ if (!r1) {
+ sup_n = sup2_n;
+ sup_d = sup2_d;
+ maximum = maximum2;
+ return true;
+ }
+ // If only d1 is bounded from above, then use the values for d1.
+ if (!r2) {
+ sup_n = sup1_n;
+ sup_d = sup1_d;
+ maximum = maximum1;
+ return true;
+ }
+ // If both d1 and d2 are bounded from above, then use the minimum values.
+ if (sup2_d * sup1_n >= sup1_d * sup2_n) {
+ sup_n = sup1_n;
+ sup_d = sup1_d;
+ maximum = maximum1;
+ }
+ else {
+ sup_n = sup2_n;
+ sup_d = sup2_d;
+ maximum = maximum2;
+ }
+ return true;
+}
+
+template <typename D1, typename D2, typename R>
+bool
+Partially_Reduced_Product<D1, D2, R>
+::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n,
+ Coefficient& inf_d,
+ bool& minimum) const {
+ reduce();
+
+ if (is_empty())
+ return false;
+ PPL_ASSERT(reduced);
+
+ PPL_DIRTY_TEMP_COEFFICIENT(inf1_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(inf1_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(inf2_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(inf2_d);
+ bool minimum1;
+ bool minimum2;
+ bool r1 = d1.minimize(expr, inf1_n, inf1_d, minimum1);
+ bool r2 = d2.minimize(expr, inf2_n, inf2_d, minimum2);
+ // If neither is bounded from below, return false.
+ if (!r1 && !r2)
+ return false;
+ // If only d2 is bounded from below, then use the values for d2.
+ if (!r1) {
+ inf_n = inf2_n;
+ inf_d = inf2_d;
+ minimum = minimum2;
+ return true;
+ }
+ // If only d1 is bounded from below, then use the values for d1.
+ if (!r2) {
+ inf_n = inf1_n;
+ inf_d = inf1_d;
+ minimum = minimum1;
+ return true;
+ }
+ // If both d1 and d2 are bounded from below, then use the minimum values.
+ if (inf2_d * inf1_n <= inf1_d * inf2_n) {
+ inf_n = inf1_n;
+ inf_d = inf1_d;
+ minimum = minimum1;
+ }
+ else {
+ inf_n = inf2_n;
+ inf_d = inf2_d;
+ minimum = minimum2;
+ }
+ return true;
+}
+
+template <typename D1, typename D2, typename R>
+bool
+Partially_Reduced_Product<D1, D2, R>
+::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n,
+ Coefficient& sup_d,
+ bool& maximum,
+ Generator& g) const {
+ reduce();
+
+ if (is_empty())
+ return false;
+ PPL_ASSERT(reduced);
+
+ PPL_DIRTY_TEMP_COEFFICIENT(sup1_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(sup1_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(sup2_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(sup2_d);
+ bool maximum1;
+ bool maximum2;
+ Generator g1(point());
+ Generator g2(point());
+ bool r1 = d1.maximize(expr, sup1_n, sup1_d, maximum1, g1);
+ bool r2 = d2.maximize(expr, sup2_n, sup2_d, maximum2, g2);
+ // If neither is bounded from above, return false.
+ if (!r1 && !r2)
+ return false;
+ // If only d2 is bounded from above, then use the values for d2.
+ if (!r1) {
+ sup_n = sup2_n;
+ sup_d = sup2_d;
+ maximum = maximum2;
+ g = g2;
+ return true;
+ }
+ // If only d1 is bounded from above, then use the values for d1.
+ if (!r2) {
+ sup_n = sup1_n;
+ sup_d = sup1_d;
+ maximum = maximum1;
+ g = g1;
+ return true;
+ }
+ // If both d1 and d2 are bounded from above, then use the minimum values.
+ if (sup2_d * sup1_n >= sup1_d * sup2_n) {
+ sup_n = sup1_n;
+ sup_d = sup1_d;
+ maximum = maximum1;
+ g = g1;
+ }
+ else {
+ sup_n = sup2_n;
+ sup_d = sup2_d;
+ maximum = maximum2;
+ g = g2;
+ }
+ return true;
+}
+
+template <typename D1, typename D2, typename R>
+bool
+Partially_Reduced_Product<D1, D2, R>
+::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n,
+ Coefficient& inf_d,
+ bool& minimum,
+ Generator& g) const {
+ reduce();
+
+ if (is_empty())
+ return false;
+ PPL_ASSERT(reduced);
+
+ PPL_DIRTY_TEMP_COEFFICIENT(inf1_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(inf1_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(inf2_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(inf2_d);
+ bool minimum1;
+ bool minimum2;
+ Generator g1(point());
+ Generator g2(point());
+ bool r1 = d1.minimize(expr, inf1_n, inf1_d, minimum1, g1);
+ bool r2 = d2.minimize(expr, inf2_n, inf2_d, minimum2, g2);
+ // If neither is bounded from below, return false.
+ if (!r1 && !r2)
+ return false;
+ // If only d2 is bounded from below, then use the values for d2.
+ if (!r1) {
+ inf_n = inf2_n;
+ inf_d = inf2_d;
+ minimum = minimum2;
+ g = g2;
+ return true;
+ }
+ // If only d1 is bounded from below, then use the values for d1.
+ if (!r2) {
+ inf_n = inf1_n;
+ inf_d = inf1_d;
+ minimum = minimum1;
+ g = g1;
+ return true;
+ }
+ // If both d1 and d2 are bounded from below, then use the minimum values.
+ if (inf2_d * inf1_n <= inf1_d * inf2_n) {
+ inf_n = inf1_n;
+ inf_d = inf1_d;
+ minimum = minimum1;
+ g = g1;
+ }
+ else {
+ inf_n = inf2_n;
+ inf_d = inf2_d;
+ minimum = minimum2;
+ g = g2;
+ }
+ return true;
+}
+
+template <typename D1, typename D2, typename R>
+inline bool
+Partially_Reduced_Product<D1, D2, R>::OK() const {
+ if (reduced) {
+ Partially_Reduced_Product<D1, D2, R> dp1 = *this;
+ Partially_Reduced_Product<D1, D2, R> dp2 = *this;
+ /* Force dp1 reduction */
+ dp1.clear_reduced_flag();
+ dp1.reduce();
+ if (dp1 != dp2)
+ return false;
+ }
+ return d1.OK() && d2.OK();
+}
+
+template <typename D1, typename D2, typename R>
+bool
+Partially_Reduced_Product<D1, D2, R>::ascii_load(std::istream& s) {
+ const char yes = '+';
+ const char no = '-';
+ std::string str;
+ if (!(s >> str) || str != "Partially_Reduced_Product")
+ return false;
+ if (!(s >> str)
+ || (str[0] != yes && str[0] != no)
+ || str.substr(1) != "reduced")
+ return false;
+ reduced = (str[0] == yes);
+ if (!(s >> str) || str != "Domain")
+ return false;
+ if (!(s >> str) || str != "1:")
+ return false;
+ if (!d1.ascii_load(s))
+ return false;
+ if (!(s >> str) || str != "Domain")
+ return false;
+ if (!(s >> str) || str != "2:")
+ return false;
+ return d2.ascii_load(s);
+}
+
+template <typename D1, typename D2>
+void Smash_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
+ using std::swap;
+ if (d2.is_empty()) {
+ if (!d1.is_empty()) {
+ D1 new_d1(d1.space_dimension(), EMPTY);
+ swap(d1, new_d1);
+ }
+ }
+ else if (d1.is_empty()) {
+ D2 new_d2(d2.space_dimension(), EMPTY);
+ swap(d2, new_d2);
+ }
+}
+
+template <typename D1, typename D2>
+void Constraints_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
+ if (d1.is_empty() || d2.is_empty()) {
+ // If one of the components is empty, do the smash reduction and return.
+ Parma_Polyhedra_Library::Smash_Reduction<D1, D2> sr;
+ sr.product_reduce(d1, d2);
+ return;
+ }
+ else {
+ using std::swap;
+ dimension_type space_dim = d1.space_dimension();
+ d1.refine_with_constraints(d2.minimized_constraints());
+ if (d1.is_empty()) {
+ D2 new_d2(space_dim, EMPTY);
+ swap(d2, new_d2);
+ return;
+ }
+ d2.refine_with_constraints(d1.minimized_constraints());
+ if (d2.is_empty()) {
+ D1 new_d1(space_dim, EMPTY);
+ swap(d1, new_d1);
+ }
+ }
+}
+
+/* Auxiliary procedure for the Congruences_Reduction() method.
+ If more than one hyperplane defined by congruence cg intersect
+ d2, then d1 and d2 are unchanged; if exactly one intersects d2, then
+ the corresponding equality is added to d1 and d2;
+ otherwise d1 and d2 are set empty. */
+template <typename D1, typename D2>
+bool shrink_to_congruence_no_check(D1& d1, D2& d2, const Congruence& cg) {
+ // It is assumed that cg is a proper congruence.
+ PPL_ASSERT(cg.modulus() != 0);
+ // It is assumed that cg is satisfied by all points in d1.
+ PPL_ASSERT(d1.relation_with(cg) == Poly_Con_Relation::is_included());
+
+ Linear_Expression e(cg.expression());
+
+ // Find the maximum and minimum bounds for the domain element d with the
+ // linear expression e.
+ PPL_DIRTY_TEMP_COEFFICIENT(max_numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(max_denom);
+ bool max_included;
+ PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
+ PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
+ if (d2.maximize(e, max_numer, max_denom, max_included)) {
+ bool min_included;
+ if (d2.minimize(e, min_numer, min_denom, min_included)) {
+ // Adjust values to allow for the denominators max_denom and min_denom.
+ max_numer *= min_denom;
+ min_numer *= max_denom;
+ PPL_DIRTY_TEMP_COEFFICIENT(denom);
+ PPL_DIRTY_TEMP_COEFFICIENT(mod);
+ denom = max_denom * min_denom;
+ mod = cg.modulus() * denom;
+ // If the difference between the maximum and minimum bounds is more than
+ // twice the modulus, then there will be two neighboring hyperplanes
+ // defined by cg that are intersected by the domain element d;
+ // there is no possible reduction in this case.
+ PPL_DIRTY_TEMP_COEFFICIENT(mod2);
+ mod2 = 2 * mod;
+ if (max_numer - min_numer < mod2
+ || (max_numer - min_numer == mod2 && (!max_included || !min_included)))
+ {
+ PPL_DIRTY_TEMP_COEFFICIENT(shrink_amount);
+ PPL_DIRTY_TEMP_COEFFICIENT(max_decreased);
+ PPL_DIRTY_TEMP_COEFFICIENT(min_increased);
+ // Find the amount by which the maximum value may be decreased.
+ shrink_amount = max_numer % mod;
+ if (!max_included && shrink_amount == 0)
+ shrink_amount = mod;
+ if (shrink_amount < 0)
+ shrink_amount += mod;
+ max_decreased = max_numer - shrink_amount;
+ // Find the amount by which the minimum value may be increased.
+ shrink_amount = min_numer % mod;
+ if (!min_included && shrink_amount == 0)
+ shrink_amount = - mod;
+ if (shrink_amount > 0)
+ shrink_amount -= mod;
+ min_increased = min_numer - shrink_amount;
+ if (max_decreased == min_increased) {
+ // The domain element d2 intersects exactly one hyperplane
+ // defined by cg, so add the equality to d1 and d2.
+ Constraint new_c(denom * e == min_increased);
+ d1.refine_with_constraint(new_c);
+ d2.refine_with_constraint(new_c);
+ return true;
+ }
+ else {
+ if (max_decreased < min_increased) {
+ using std::swap;
+ // In this case, d intersects no hyperplanes defined by cg,
+ // so set d to empty and return false.
+ D1 new_d1(d1.space_dimension(), EMPTY);
+ swap(d1, new_d1);
+ D2 new_d2(d2.space_dimension(), EMPTY);
+ swap(d2, new_d2);
+ return false;
+ }
+ }
+ }
+ }
+ }
+ return true;
+}
+
+template <typename D1, typename D2>
+void
+Congruences_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
+ if (d1.is_empty() || d2.is_empty()) {
+ // If one of the components is empty, do the smash reduction and return.
+ Parma_Polyhedra_Library::Smash_Reduction<D1, D2> sr;
+ sr.product_reduce(d1, d2);
+ return;
+ }
+ // Use the congruences representing d1 to shrink both components.
+ const Congruence_System cgs1 = d1.minimized_congruences();
+ for (Congruence_System::const_iterator i = cgs1.begin(),
+ cgs_end = cgs1.end(); i != cgs_end; ++i) {
+ const Congruence& cg1 = *i;
+ if (cg1.is_equality())
+ d2.refine_with_congruence(cg1);
+ else
+ if (!Parma_Polyhedra_Library::
+ shrink_to_congruence_no_check(d1, d2, cg1))
+ // The product is empty.
+ return;
+ }
+ // Use the congruences representing d2 to shrink both components.
+ const Congruence_System cgs2 = d2.minimized_congruences();
+ for (Congruence_System::const_iterator i = cgs2.begin(),
+ cgs_end = cgs2.end(); i != cgs_end; ++i) {
+ const Congruence& cg2 = *i;
+ if (cg2.is_equality())
+ d1.refine_with_congruence(cg2);
+ else
+ if (!Parma_Polyhedra_Library::
+ shrink_to_congruence_no_check(d2, d1, cg2))
+ // The product is empty.
+ return;
+ }
+}
+
+template <typename D1, typename D2>
+void
+Shape_Preserving_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
+ // First do the congruences reduction.
+ Parma_Polyhedra_Library::Congruences_Reduction<D1, D2> cgr;
+ cgr.product_reduce(d1, d2);
+ if (d1.is_empty())
+ return;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(freq_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(freq_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(val_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(val_d);
+
+ // Use the constraints representing d2.
+ Constraint_System cs = d2.minimized_constraints();
+ Constraint_System refining_cs;
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); i != cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_equality())
+ continue;
+ // Check the frequency and value of the linear expression for
+ // the constraint `c'.
+ Linear_Expression le(c.expression());
+ if (!d1.frequency(le, freq_n, freq_d, val_n, val_d))
+ // Nothing to do.
+ continue;
+ if (val_n == 0)
+ // Nothing to do.
+ continue;
+ // Adjust the value of the inhomogeneous term to satisfy
+ // the implied congruence.
+ if (val_n < 0) {
+ val_n = val_n*freq_d + val_d*freq_n;
+ val_d *= freq_d;
+ }
+ le *= val_d;
+ le -= val_n;
+ refining_cs.insert(le >= 0);
+ }
+ d2.refine_with_constraints(refining_cs);
+
+ // Use the constraints representing d1.
+ cs = d1.minimized_constraints();
+ refining_cs.clear();
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); i != cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_equality())
+ // Equalities already shared.
+ continue;
+ // Check the frequency and value of the linear expression for
+ // the constraint `c'.
+ Linear_Expression le(c.expression());
+ if (!d2.frequency(le, freq_n, freq_d, val_n, val_d))
+ // Nothing to do.
+ continue;
+ if (val_n == 0)
+ // Nothing to do.
+ continue;
+ // Adjust the value of the inhomogeneous term to satisfy
+ // the implied congruence.
+ if (val_n < 0) {
+ val_n = val_n*freq_d + val_d*freq_n;
+ val_d *= freq_d;
+ }
+ le *= val_d;
+ le -= val_n;
+ refining_cs.insert(le >= 0);
+ }
+ d1.refine_with_constraints(refining_cs);
+
+ // The reduction may have introduced additional equalities
+ // so these must be shared with the other component.
+ Parma_Polyhedra_Library::Constraints_Reduction<D1, D2> cr;
+ cr.product_reduce(d1, d2);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Partially_Reduced_Product_templates_hh)
diff --git a/src/Partially_Reduced_Product_types.hh b/src/Partially_Reduced_Product_types.hh
new file mode 100644
index 0000000..9db15b9
--- /dev/null
+++ b/src/Partially_Reduced_Product_types.hh
@@ -0,0 +1,38 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Partially_Reduced_Product_types_hh
+#define PPL_Partially_Reduced_Product_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D1, typename D2>
+class Smash_Reduction;
+
+template <typename D1, typename D2>
+class Constraints_Reduction;
+
+template <typename D1, typename D2>
+class Congruences_Reduction;
+
+template <typename D1, typename D2>
+class Shape_Preserving_Reduction;
+
+template <typename D1, typename D2>
+class No_Reduction;
+
+template <typename D1, typename D2, typename R>
+class Partially_Reduced_Product;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Partially_Reduced_Product_types_hh)
diff --git a/src/Pending_Element.defs.hh b/src/Pending_Element.defs.hh
deleted file mode 100644
index 9d9c0db..0000000
--- a/src/Pending_Element.defs.hh
+++ /dev/null
@@ -1,77 +0,0 @@
-/* Pending_Element class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pending_Element_defs_hh
-#define PPL_Pending_Element_defs_hh 1
-
-#include "Pending_Element.types.hh"
-#include "Doubly_Linked_Object.defs.hh"
-#include "Handler.types.hh"
-
-//! A class for pending watchdog events with embedded links.
-/*!
- Each pending watchdog event is characterized by a deadline (a positive
- time interval), an associated handler that will be invoked upon event
- expiration, and a Boolean flag that indicates whether the event has already
- expired or not.
-*/
-template <typename Threshold>
-class Parma_Polyhedra_Library::Implementation::Watchdog::Pending_Element
- : public Doubly_Linked_Object {
-public:
- //! Constructs an element with the given attributes.
- Pending_Element(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag);
-
- //! Modifies \p *this so that it has the given attributes.
- void assign(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag);
-
- //! Returns the deadline of the event.
- const Threshold& deadline() const;
-
- //! Returns the handler associated to the event.
- const Handler& handler() const;
-
- //! Returns a reference to the "event-expired" flag.
- bool& expired_flag() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
-private:
- //! The deadline of the event.
- Threshold d;
-
- //! A pointer to the handler associated to the event.
- const Handler* p_h;
-
- //! A pointer to a flag saying whether the event has already expired or not.
- bool* p_f;
-};
-
-#include "Pending_Element.inlines.hh"
-
-#endif // !defined(PPL_Pending_Element_defs_hh)
diff --git a/src/Pending_Element.inlines.hh b/src/Pending_Element.inlines.hh
deleted file mode 100644
index f80a412..0000000
--- a/src/Pending_Element.inlines.hh
+++ /dev/null
@@ -1,85 +0,0 @@
-/* Pending_Element class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pending_Element_inlines_hh
-#define PPL_Pending_Element_inlines_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename Threshold>
-inline bool
-Pending_Element<Threshold>::OK() const {
- return true;
-}
-
-template <typename Threshold>
-inline
-Pending_Element<Threshold>::Pending_Element(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag)
- : d(deadline), p_h(&handler), p_f(&expired_flag) {
- assert(OK());
-}
-
-template <typename Threshold>
-inline void
-Pending_Element<Threshold>::assign(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag) {
- d = deadline;
- p_h = &handler;
- p_f = &expired_flag;
- assert(OK());
-}
-
-template <typename Threshold>
-inline const Threshold&
-Pending_Element<Threshold>::deadline() const {
- return d;
-}
-
-template <typename Threshold>
-inline const Handler&
-Pending_Element<Threshold>::handler() const {
- return *p_h;
-}
-
-template <typename Threshold>
-inline bool&
-Pending_Element<Threshold>::expired_flag() const {
- return *p_f;
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pending_Element_inlines_hh)
diff --git a/src/Pending_Element.types.hh b/src/Pending_Element.types.hh
deleted file mode 100644
index cc065a3..0000000
--- a/src/Pending_Element.types.hh
+++ /dev/null
@@ -1,31 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Pending_Element_types_hh
-#define PPL_Pending_Element_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <class Threshold>
-class Pending_Element;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pending_Element_types_hh)
diff --git a/src/Pending_Element_defs.hh b/src/Pending_Element_defs.hh
new file mode 100644
index 0000000..aabe2a9
--- /dev/null
+++ b/src/Pending_Element_defs.hh
@@ -0,0 +1,77 @@
+/* Pending_Element class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pending_Element_defs_hh
+#define PPL_Pending_Element_defs_hh 1
+
+#include "Pending_Element_types.hh"
+#include "Doubly_Linked_Object_defs.hh"
+#include "Handler_types.hh"
+
+//! A class for pending watchdog events with embedded links.
+/*!
+ Each pending watchdog event is characterized by a deadline (a positive
+ time interval), an associated handler that will be invoked upon event
+ expiration, and a Boolean flag that indicates whether the event has already
+ expired or not.
+*/
+template <typename Threshold>
+class Parma_Polyhedra_Library::Implementation::Watchdog::Pending_Element
+ : public Doubly_Linked_Object {
+public:
+ //! Constructs an element with the given attributes.
+ Pending_Element(const Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag);
+
+ //! Modifies \p *this so that it has the given attributes.
+ void assign(const Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag);
+
+ //! Returns the deadline of the event.
+ const Threshold& deadline() const;
+
+ //! Returns the handler associated to the event.
+ const Handler& handler() const;
+
+ //! Returns a reference to the "event-expired" flag.
+ bool& expired_flag() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+private:
+ //! The deadline of the event.
+ Threshold d;
+
+ //! A pointer to the handler associated to the event.
+ const Handler* p_h;
+
+ //! A pointer to a flag saying whether the event has already expired or not.
+ bool* p_f;
+};
+
+#include "Pending_Element_inlines.hh"
+
+#endif // !defined(PPL_Pending_Element_defs_hh)
diff --git a/src/Pending_Element_inlines.hh b/src/Pending_Element_inlines.hh
new file mode 100644
index 0000000..92d646d
--- /dev/null
+++ b/src/Pending_Element_inlines.hh
@@ -0,0 +1,85 @@
+/* Pending_Element class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pending_Element_inlines_hh
+#define PPL_Pending_Element_inlines_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+template <typename Threshold>
+inline bool
+Pending_Element<Threshold>::OK() const {
+ return true;
+}
+
+template <typename Threshold>
+inline
+Pending_Element<Threshold>::Pending_Element(const Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag)
+ : d(deadline), p_h(&handler), p_f(&expired_flag) {
+ assert(OK());
+}
+
+template <typename Threshold>
+inline void
+Pending_Element<Threshold>::assign(const Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag) {
+ d = deadline;
+ p_h = &handler;
+ p_f = &expired_flag;
+ assert(OK());
+}
+
+template <typename Threshold>
+inline const Threshold&
+Pending_Element<Threshold>::deadline() const {
+ return d;
+}
+
+template <typename Threshold>
+inline const Handler&
+Pending_Element<Threshold>::handler() const {
+ return *p_h;
+}
+
+template <typename Threshold>
+inline bool&
+Pending_Element<Threshold>::expired_flag() const {
+ return *p_f;
+}
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pending_Element_inlines_hh)
diff --git a/src/Pending_Element_types.hh b/src/Pending_Element_types.hh
new file mode 100644
index 0000000..0bc1b6a
--- /dev/null
+++ b/src/Pending_Element_types.hh
@@ -0,0 +1,31 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Pending_Element_types_hh
+#define PPL_Pending_Element_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+template <class Threshold>
+class Pending_Element;
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pending_Element_types_hh)
diff --git a/src/Pending_List.defs.hh b/src/Pending_List.defs.hh
deleted file mode 100644
index 9eb2119..0000000
--- a/src/Pending_List.defs.hh
+++ /dev/null
@@ -1,79 +0,0 @@
-/* Pending_List class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pending_List_defs_hh
-#define PPL_Pending_List_defs_hh 1
-
-#include "Pending_List.types.hh"
-#include "Pending_Element.defs.hh"
-#include "EList.defs.hh"
-#include "Handler.types.hh"
-
-//! An ordered list for recording pending watchdog events.
-template <typename Traits>
-class Parma_Polyhedra_Library::Implementation::Watchdog::Pending_List {
-public:
- //! A non-const iterator to traverse the list.
- typedef typename EList<Pending_Element<typename Traits::Threshold> >::Iterator Iterator;
-
- //! A const iterator to traverse the list.
- typedef typename EList<Pending_Element<typename Traits::Threshold> >::Const_Iterator Const_Iterator;
-
- //! Constructs an empty list.
- Pending_List();
-
- //! Destructor.
- ~Pending_List();
-
- //! Inserts a new Pending_Element object with the given attributes.
- Iterator insert(const typename Traits::Threshold& deadline,
- const Handler& handler,
- bool& expired_flag);
-
- /*! \brief
- Removes the element pointed to by \p position, returning
- an iterator pointing to the next element, if any, or end(), otherwise.
- */
- Iterator erase(Iterator position);
-
- //! Returns <CODE>true</CODE> if and only if the list is empty.
- bool empty() const;
-
- //! Returns an iterator pointing to the beginning of the list.
- Iterator begin();
-
- //! Returns an iterator pointing one past the last element in the list.
- Iterator end();
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
-private:
- EList<Pending_Element<typename Traits::Threshold> > active_list;
- EList<Pending_Element<typename Traits::Threshold> > free_list;
-};
-
-#include "Pending_List.inlines.hh"
-#include "Pending_List.templates.hh"
-
-#endif // !defined(PPL_Pending_List_defs_hh)
diff --git a/src/Pending_List.inlines.hh b/src/Pending_List.inlines.hh
deleted file mode 100644
index ee826c6..0000000
--- a/src/Pending_List.inlines.hh
+++ /dev/null
@@ -1,82 +0,0 @@
-/* Pending_List class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pending_List_inlines_hh
-#define PPL_Pending_List_inlines_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename Traits>
-inline
-Pending_List<Traits>::Pending_List()
- : active_list(),
- free_list() {
- assert(OK());
-}
-
-template <typename Traits>
-inline
-Pending_List<Traits>::~Pending_List() {
-}
-
-template <typename Traits>
-inline typename Pending_List<Traits>::Iterator
-Pending_List<Traits>::begin() {
- return active_list.begin();
-}
-
-template <typename Traits>
-inline typename Pending_List<Traits>::Iterator
-Pending_List<Traits>::end() {
- return active_list.end();
-}
-
-template <typename Traits>
-inline bool
-Pending_List<Traits>::empty() const {
- return active_list.empty();
-}
-
-template <typename Traits>
-inline typename Pending_List<Traits>::Iterator
-Pending_List<Traits>::erase(Iterator position) {
- assert(!empty());
- Iterator next = active_list.erase(position);
- free_list.push_back(*position);
- assert(OK());
- return next;
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pending_List_inlines_hh)
diff --git a/src/Pending_List.templates.hh b/src/Pending_List.templates.hh
deleted file mode 100644
index c0af0e6..0000000
--- a/src/Pending_List.templates.hh
+++ /dev/null
@@ -1,96 +0,0 @@
-/* Pending_List class implementation.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pending_List_templates_hh
-#define PPL_Pending_List_templates_hh 1
-
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename Traits>
-typename Pending_List<Traits>::Iterator
-Pending_List<Traits>::insert(const typename Traits::Threshold& deadline,
- const Handler& handler,
- bool& expired_flag) {
- Iterator position = active_list.begin();
- for (Iterator active_list_end = active_list.end();
- position != active_list_end
- && Traits::less_than(position->deadline(), deadline);
- ++position)
- ;
- Iterator pending_element_p;
- // Only allocate a new element if the free list is empty.
- if (free_list.empty())
- pending_element_p
- = new Pending_Element<typename Traits::Threshold>(deadline,
- handler,
- expired_flag);
- else {
- pending_element_p = free_list.begin();
- free_list.erase(pending_element_p);
- pending_element_p->assign(deadline, handler, expired_flag);
- }
- Iterator r = active_list.insert(position, *pending_element_p);
- assert(OK());
- return r;
-}
-
-template <typename Traits>
-bool
-Pending_List<Traits>::OK() const {
- if (!active_list.OK())
- return false;
-
- if (!free_list.OK())
- return false;
-
- const typename Traits::Threshold* old;
- Const_Iterator i = active_list.begin();
- old = &i->deadline();
- ++i;
- for (Const_Iterator active_list_end = active_list.end(); i != active_list_end; ++i) {
- const typename Traits::Threshold& t = i->deadline();
- if (Traits::less_than(t, *old)) {
-#ifndef NDEBUG
- std::cerr << "The active list is not sorted!"
- << std::endl;
-#endif
- return false;
- }
- old = &t;
- }
- return true;
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pending_List_templates_hh)
diff --git a/src/Pending_List.types.hh b/src/Pending_List.types.hh
deleted file mode 100644
index 8983420..0000000
--- a/src/Pending_List.types.hh
+++ /dev/null
@@ -1,31 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Pending_List_types_hh
-#define PPL_Pending_List_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-template <typename Traits>
-class Pending_List;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pending_List_types_hh)
diff --git a/src/Pending_List_defs.hh b/src/Pending_List_defs.hh
new file mode 100644
index 0000000..171990e
--- /dev/null
+++ b/src/Pending_List_defs.hh
@@ -0,0 +1,79 @@
+/* Pending_List class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pending_List_defs_hh
+#define PPL_Pending_List_defs_hh 1
+
+#include "Pending_List_types.hh"
+#include "Pending_Element_defs.hh"
+#include "EList_defs.hh"
+#include "Handler_types.hh"
+
+//! An ordered list for recording pending watchdog events.
+template <typename Traits>
+class Parma_Polyhedra_Library::Implementation::Watchdog::Pending_List {
+public:
+ //! A non-const iterator to traverse the list.
+ typedef typename EList<Pending_Element<typename Traits::Threshold> >::iterator iterator;
+
+ //! A const iterator to traverse the list.
+ typedef typename EList<Pending_Element<typename Traits::Threshold> >::const_iterator const_iterator;
+
+ //! Constructs an empty list.
+ Pending_List();
+
+ //! Destructor.
+ ~Pending_List();
+
+ //! Inserts a new Pending_Element object with the given attributes.
+ iterator insert(const typename Traits::Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag);
+
+ /*! \brief
+ Removes the element pointed to by \p position, returning
+ an iterator pointing to the next element, if any, or end(), otherwise.
+ */
+ iterator erase(iterator position);
+
+ //! Returns <CODE>true</CODE> if and only if the list is empty.
+ bool empty() const;
+
+ //! Returns an iterator pointing to the beginning of the list.
+ iterator begin();
+
+ //! Returns an iterator pointing one past the last element in the list.
+ iterator end();
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+private:
+ EList<Pending_Element<typename Traits::Threshold> > active_list;
+ EList<Pending_Element<typename Traits::Threshold> > free_list;
+};
+
+#include "Pending_List_inlines.hh"
+#include "Pending_List_templates.hh"
+
+#endif // !defined(PPL_Pending_List_defs_hh)
diff --git a/src/Pending_List_inlines.hh b/src/Pending_List_inlines.hh
new file mode 100644
index 0000000..20c62b1
--- /dev/null
+++ b/src/Pending_List_inlines.hh
@@ -0,0 +1,82 @@
+/* Pending_List class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pending_List_inlines_hh
+#define PPL_Pending_List_inlines_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+template <typename Traits>
+inline
+Pending_List<Traits>::Pending_List()
+ : active_list(),
+ free_list() {
+ assert(OK());
+}
+
+template <typename Traits>
+inline
+Pending_List<Traits>::~Pending_List() {
+}
+
+template <typename Traits>
+inline typename Pending_List<Traits>::iterator
+Pending_List<Traits>::begin() {
+ return active_list.begin();
+}
+
+template <typename Traits>
+inline typename Pending_List<Traits>::iterator
+Pending_List<Traits>::end() {
+ return active_list.end();
+}
+
+template <typename Traits>
+inline bool
+Pending_List<Traits>::empty() const {
+ return active_list.empty();
+}
+
+template <typename Traits>
+inline typename Pending_List<Traits>::iterator
+Pending_List<Traits>::erase(iterator position) {
+ assert(!empty());
+ iterator next = active_list.erase(position);
+ free_list.push_back(*position);
+ assert(OK());
+ return next;
+}
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pending_List_inlines_hh)
diff --git a/src/Pending_List_templates.hh b/src/Pending_List_templates.hh
new file mode 100644
index 0000000..e984ce2
--- /dev/null
+++ b/src/Pending_List_templates.hh
@@ -0,0 +1,96 @@
+/* Pending_List class implementation.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pending_List_templates_hh
+#define PPL_Pending_List_templates_hh 1
+
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+template <typename Traits>
+typename Pending_List<Traits>::iterator
+Pending_List<Traits>::insert(const typename Traits::Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag) {
+ iterator position = active_list.begin();
+ for (iterator active_list_end = active_list.end();
+ position != active_list_end
+ && Traits::less_than(position->deadline(), deadline);
+ ++position)
+ ;
+ iterator pending_element_p;
+ // Only allocate a new element if the free list is empty.
+ if (free_list.empty())
+ pending_element_p
+ = new Pending_Element<typename Traits::Threshold>(deadline,
+ handler,
+ expired_flag);
+ else {
+ pending_element_p = free_list.begin();
+ free_list.erase(pending_element_p);
+ pending_element_p->assign(deadline, handler, expired_flag);
+ }
+ iterator r = active_list.insert(position, *pending_element_p);
+ assert(OK());
+ return r;
+}
+
+template <typename Traits>
+bool
+Pending_List<Traits>::OK() const {
+ if (!active_list.OK())
+ return false;
+
+ if (!free_list.OK())
+ return false;
+
+ const typename Traits::Threshold* old;
+ const_iterator i = active_list.begin();
+ old = &i->deadline();
+ ++i;
+ for (const_iterator active_list_end = active_list.end(); i != active_list_end; ++i) {
+ const typename Traits::Threshold& t = i->deadline();
+ if (Traits::less_than(t, *old)) {
+#ifndef NDEBUG
+ std::cerr << "The active list is not sorted!"
+ << std::endl;
+#endif
+ return false;
+ }
+ old = &t;
+ }
+ return true;
+}
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pending_List_templates_hh)
diff --git a/src/Pending_List_types.hh b/src/Pending_List_types.hh
new file mode 100644
index 0000000..af6c6ba
--- /dev/null
+++ b/src/Pending_List_types.hh
@@ -0,0 +1,31 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Pending_List_types_hh
+#define PPL_Pending_List_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+template <typename Traits>
+class Pending_List;
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pending_List_types_hh)
diff --git a/src/Ph_Status.cc b/src/Ph_Status.cc
index 0dac654..eb9dd8e 100644
--- a/src/Ph_Status.cc
+++ b/src/Ph_Status.cc
@@ -1,6 +1,6 @@
/* Polyhedron::Status class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Polyhedron.defs.hh"
+#include "Polyhedron_defs.hh"
#include "assert.hh"
#include <iostream>
#include <string>
@@ -177,7 +177,7 @@ PPL::Polyhedron::Status::OK() const {
else {
#ifndef NDEBUG
cerr << "The empty flag is incompatible with any other one."
- << endl;
+ << endl;
#endif
return false;
}
@@ -189,7 +189,7 @@ PPL::Polyhedron::Status::OK() const {
cerr <<
"If a saturation matrix is up-to-date, constraints and\n"
"generators have to be both up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
@@ -197,7 +197,7 @@ PPL::Polyhedron::Status::OK() const {
if (test_c_minimized() && !test_c_up_to_date()) {
#ifndef NDEBUG
cerr << "If constraints are minimized they must be up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
@@ -205,7 +205,7 @@ PPL::Polyhedron::Status::OK() const {
if (test_g_minimized() && !test_g_up_to_date()) {
#ifndef NDEBUG
cerr << "If generators are minimized they must be up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
@@ -213,7 +213,7 @@ PPL::Polyhedron::Status::OK() const {
if (test_c_pending() && test_g_pending()) {
#ifndef NDEBUG
cerr << "There cannot be both pending constraints and pending generators."
- << endl;
+ << endl;
#endif
return false;
}
@@ -224,7 +224,7 @@ PPL::Polyhedron::Status::OK() const {
cerr <<
"If there are pending constraints or generators, constraints\n"
"and generators must be minimized."
- << endl;
+ << endl;
#endif
return false;
}
@@ -234,7 +234,7 @@ PPL::Polyhedron::Status::OK() const {
cerr <<
"If there are pending constraints or generators, there must\n"
"be at least a saturation matrix up-to-date."
- << endl;
+ << endl;
#endif
return false;
}
diff --git a/src/Ph_Status.idefs.hh b/src/Ph_Status.idefs.hh
deleted file mode 100644
index dcbe38c..0000000
--- a/src/Ph_Status.idefs.hh
+++ /dev/null
@@ -1,183 +0,0 @@
-/* Polyhedron::Status class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Status_idefs_hh
-#define PPL_Status_idefs_hh 1
-
-#ifndef PPL_IN_Polyhedron_CLASS
-#error "Do not include Ph_Status.idefs.hh directly; use Polyhedron.defs.hh instead"
-#endif
-
-//! A conjunctive assertion about a polyhedron.
-/*! \ingroup PPL_CXX_interface
- The assertions supported are:
- - <EM>zero-dim universe</EM>: the polyhedron is the zero-dimension
- vector space \f$\Rset^0 = \{\cdot\}\f$;
- - <EM>empty</EM>: the polyhedron is the empty set;
- - <EM>constraints pending</EM>: the polyhedron is correctly
- characterized by the attached system of constraints, which is
- split in two non-empty subsets: the already processed constraints,
- which are in minimal form, and the pending constraints, which
- still have to be processed and may thus be inconsistent or
- contain redundancies;
- - <EM>generators pending</EM>: the polyhedron is correctly
- characterized by the attached system of generators, which is
- split in two non-empty subsets: the already processed generators,
- which are in minimal form, and the pending generators, which still
- have to be processed and may thus contain redundancies;
- - <EM>constraints up-to-date</EM>: the polyhedron is correctly
- characterized by the attached system of constraints, modulo the
- processing of pending generators;
- - <EM>generators up-to-date</EM>: the polyhedron is correctly
- characterized by the attached system of generators, modulo the
- processing of pending constraints;
- - <EM>constraints minimized</EM>: the non-pending part of the system
- of constraints attached to the polyhedron is in minimal form;
- - <EM>generators minimized</EM>: the non-pending part of the system
- of generators attached to the polyhedron is in minimal form;
- - <EM>constraints' saturation matrix up-to-date</EM>: the attached
- saturation matrix having rows indexed by non-pending generators and
- columns indexed by non-pending constraints correctly expresses
- the saturation relation between the attached non-pending constraints
- and generators;
- - <EM>generators' saturation matrix up-to-date</EM>: the attached
- saturation matrix having rows indexed by non-pending constraints and
- columns indexed by non-pending generators correctly expresses
- the saturation relation between the attached non-pending constraints
- and generators;
-
- Not all the conjunctions of these elementary assertions constitute
- a legal Status. In fact:
- - <EM>zero-dim universe</EM> excludes any other assertion;
- - <EM>empty</EM>: excludes any other assertion;
- - <EM>constraints pending</EM> and <EM>generators pending</EM>
- are mutually exclusive;
- - <EM>constraints pending</EM> implies both <EM>constraints minimized</EM>
- and <EM>generators minimized</EM>;
- - <EM>generators pending</EM> implies both <EM>constraints minimized</EM>
- and <EM>generators minimized</EM>;
- - <EM>constraints minimized</EM> implies <EM>constraints up-to-date</EM>;
- - <EM>generators minimized</EM> implies <EM>generators up-to-date</EM>;
- - <EM>constraints' saturation matrix up-to-date</EM> implies both
- <EM>constraints up-to-date</EM> and <EM>generators up-to-date</EM>;
- - <EM>generators' saturation matrix up-to-date</EM> implies both
- <EM>constraints up-to-date</EM> and <EM>generators up-to-date</EM>.
-*/
-class Status {
-public:
- //! By default Status is the <EM>zero-dim universe</EM> assertion.
- Status();
-
- //! \name Test, remove or add an individual assertion from the conjunction
- //@{
- bool test_zero_dim_univ() const;
- void reset_zero_dim_univ();
- void set_zero_dim_univ();
-
- bool test_empty() const;
- void reset_empty();
- void set_empty();
-
- bool test_c_up_to_date() const;
- void reset_c_up_to_date();
- void set_c_up_to_date();
-
- bool test_g_up_to_date() const;
- void reset_g_up_to_date();
- void set_g_up_to_date();
-
- bool test_c_minimized() const;
- void reset_c_minimized();
- void set_c_minimized();
-
- bool test_g_minimized() const;
- void reset_g_minimized();
- void set_g_minimized();
-
- bool test_sat_c_up_to_date() const;
- void reset_sat_c_up_to_date();
- void set_sat_c_up_to_date();
-
- bool test_sat_g_up_to_date() const;
- void reset_sat_g_up_to_date();
- void set_sat_g_up_to_date();
-
- bool test_c_pending() const;
- void reset_c_pending();
- void set_c_pending();
-
- bool test_g_pending() const;
- void reset_g_pending();
- void set_g_pending();
- //@} // Test, remove or add an individual assertion from the conjunction
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
-private:
- //! Status is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bit-masks for the individual assertions
- //@{
- static const flags_t ZERO_DIM_UNIV = 0U;
- static const flags_t EMPTY = 1U << 0;
- static const flags_t C_UP_TO_DATE = 1U << 1;
- static const flags_t G_UP_TO_DATE = 1U << 2;
- static const flags_t C_MINIMIZED = 1U << 3;
- static const flags_t G_MINIMIZED = 1U << 4;
- static const flags_t SAT_C_UP_TO_DATE = 1U << 5;
- static const flags_t SAT_G_UP_TO_DATE = 1U << 6;
- static const flags_t CS_PENDING = 1U << 7;
- static const flags_t GS_PENDING = 1U << 8;
- //@} // Bit-masks for the individual assertions
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! Construct from a bit-mask.
- Status(flags_t mask);
-
- //! Check whether <EM>all</EM> bits in \p mask are set.
- bool test_all(flags_t mask) const;
-
- //! Check whether <EM>at least one</EM> bit in \p mask is set.
- bool test_any(flags_t mask) const;
-
- //! Set the bits in \p mask.
- void set(flags_t mask);
-
- //! Reset the bits in \p mask.
- void reset(flags_t mask);
-};
-
-#endif // !defined(PPL_Status_idefs_hh)
diff --git a/src/Ph_Status.inlines.hh b/src/Ph_Status.inlines.hh
deleted file mode 100644
index 0c828de..0000000
--- a/src/Ph_Status.inlines.hh
+++ /dev/null
@@ -1,217 +0,0 @@
-/* Polyhedron::Status class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Status_inlines_hh
-#define PPL_Status_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Polyhedron::Status::Status(flags_t mask)
- : flags(mask) {
-}
-
-inline
-Polyhedron::Status::Status()
- : flags(ZERO_DIM_UNIV) {
-}
-
-inline bool
-Polyhedron::Status::test_all(flags_t mask) const {
- return (flags & mask) == mask;
-}
-
-inline bool
-Polyhedron::Status::test_any(flags_t mask) const {
- return (flags & mask) != 0;
-}
-
-inline void
-Polyhedron::Status::set(flags_t mask) {
- flags |= mask;
-}
-
-inline void
-Polyhedron::Status::reset(flags_t mask) {
- flags &= ~mask;
-}
-
-inline bool
-Polyhedron::Status::test_zero_dim_univ() const {
- return flags == ZERO_DIM_UNIV;
-}
-
-inline void
-Polyhedron::Status::reset_zero_dim_univ() {
- // This is a no-op if the current status is not zero-dim.
- if (flags == ZERO_DIM_UNIV)
- // In the zero-dim space, if it is not the universe it is empty.
- flags = EMPTY;
-}
-
-inline void
-Polyhedron::Status::set_zero_dim_univ() {
- // Zero-dim universe is incompatible with anything else.
- flags = ZERO_DIM_UNIV;
-}
-
-inline bool
-Polyhedron::Status::test_empty() const {
- return test_any(EMPTY);
-}
-
-inline void
-Polyhedron::Status::reset_empty() {
- reset(EMPTY);
-}
-
-inline void
-Polyhedron::Status::set_empty() {
- flags = EMPTY;
-}
-
-inline bool
-Polyhedron::Status::test_c_up_to_date() const {
- return test_any(C_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::reset_c_up_to_date() {
- reset(C_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::set_c_up_to_date() {
- set(C_UP_TO_DATE);
-}
-
-inline bool
-Polyhedron::Status::test_g_up_to_date() const {
- return test_any(G_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::reset_g_up_to_date() {
- reset(G_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::set_g_up_to_date() {
- set(G_UP_TO_DATE);
-}
-
-inline bool
-Polyhedron::Status::test_c_minimized() const {
- return test_any(C_MINIMIZED);
-}
-
-inline void
-Polyhedron::Status::reset_c_minimized() {
- reset(C_MINIMIZED);
-}
-
-inline void
-Polyhedron::Status::set_c_minimized() {
- set(C_MINIMIZED);
-}
-
-inline bool
-Polyhedron::Status::test_g_minimized() const {
- return test_any(G_MINIMIZED);
-}
-
-inline void
-Polyhedron::Status::reset_g_minimized() {
- reset(G_MINIMIZED);
-}
-
-inline void
-Polyhedron::Status::set_g_minimized() {
- set(G_MINIMIZED);
-}
-
-
-inline bool
-Polyhedron::Status::test_c_pending() const {
- return test_any(CS_PENDING);
-}
-
-inline void
-Polyhedron::Status::reset_c_pending() {
- reset(CS_PENDING);
-}
-
-inline void
-Polyhedron::Status::set_c_pending() {
- set(CS_PENDING);
-}
-
-inline bool
-Polyhedron::Status::test_g_pending() const {
- return test_any(GS_PENDING);
-}
-
-inline void
-Polyhedron::Status::reset_g_pending() {
- reset(GS_PENDING);
-}
-
-inline void
-Polyhedron::Status::set_g_pending() {
- set(GS_PENDING);
-}
-
-
-inline bool
-Polyhedron::Status::test_sat_c_up_to_date() const {
- return test_any(SAT_C_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::reset_sat_c_up_to_date() {
- reset(SAT_C_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::set_sat_c_up_to_date() {
- set(SAT_C_UP_TO_DATE);
-}
-
-inline bool
-Polyhedron::Status::test_sat_g_up_to_date() const {
- return test_any(SAT_G_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::reset_sat_g_up_to_date() {
- reset(SAT_G_UP_TO_DATE);
-}
-
-inline void
-Polyhedron::Status::set_sat_g_up_to_date() {
- set(SAT_G_UP_TO_DATE);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Status_inlines_hh)
diff --git a/src/Ph_Status_idefs.hh b/src/Ph_Status_idefs.hh
new file mode 100644
index 0000000..1c3128f
--- /dev/null
+++ b/src/Ph_Status_idefs.hh
@@ -0,0 +1,183 @@
+/* Polyhedron::Status class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Status_idefs_hh
+#define PPL_Status_idefs_hh 1
+
+#ifndef PPL_IN_Polyhedron_CLASS
+#error "Do not include Ph_Status_idefs.hh directly; use Polyhedron_defs.hh instead"
+#endif
+
+//! A conjunctive assertion about a polyhedron.
+/*! \ingroup PPL_CXX_interface
+ The assertions supported are:
+ - <EM>zero-dim universe</EM>: the polyhedron is the zero-dimension
+ vector space \f$\Rset^0 = \{\cdot\}\f$;
+ - <EM>empty</EM>: the polyhedron is the empty set;
+ - <EM>constraints pending</EM>: the polyhedron is correctly
+ characterized by the attached system of constraints, which is
+ split in two non-empty subsets: the already processed constraints,
+ which are in minimal form, and the pending constraints, which
+ still have to be processed and may thus be inconsistent or
+ contain redundancies;
+ - <EM>generators pending</EM>: the polyhedron is correctly
+ characterized by the attached system of generators, which is
+ split in two non-empty subsets: the already processed generators,
+ which are in minimal form, and the pending generators, which still
+ have to be processed and may thus contain redundancies;
+ - <EM>constraints up-to-date</EM>: the polyhedron is correctly
+ characterized by the attached system of constraints, modulo the
+ processing of pending generators;
+ - <EM>generators up-to-date</EM>: the polyhedron is correctly
+ characterized by the attached system of generators, modulo the
+ processing of pending constraints;
+ - <EM>constraints minimized</EM>: the non-pending part of the system
+ of constraints attached to the polyhedron is in minimal form;
+ - <EM>generators minimized</EM>: the non-pending part of the system
+ of generators attached to the polyhedron is in minimal form;
+ - <EM>constraints' saturation matrix up-to-date</EM>: the attached
+ saturation matrix having rows indexed by non-pending generators and
+ columns indexed by non-pending constraints correctly expresses
+ the saturation relation between the attached non-pending constraints
+ and generators;
+ - <EM>generators' saturation matrix up-to-date</EM>: the attached
+ saturation matrix having rows indexed by non-pending constraints and
+ columns indexed by non-pending generators correctly expresses
+ the saturation relation between the attached non-pending constraints
+ and generators;
+
+ Not all the conjunctions of these elementary assertions constitute
+ a legal Status. In fact:
+ - <EM>zero-dim universe</EM> excludes any other assertion;
+ - <EM>empty</EM>: excludes any other assertion;
+ - <EM>constraints pending</EM> and <EM>generators pending</EM>
+ are mutually exclusive;
+ - <EM>constraints pending</EM> implies both <EM>constraints minimized</EM>
+ and <EM>generators minimized</EM>;
+ - <EM>generators pending</EM> implies both <EM>constraints minimized</EM>
+ and <EM>generators minimized</EM>;
+ - <EM>constraints minimized</EM> implies <EM>constraints up-to-date</EM>;
+ - <EM>generators minimized</EM> implies <EM>generators up-to-date</EM>;
+ - <EM>constraints' saturation matrix up-to-date</EM> implies both
+ <EM>constraints up-to-date</EM> and <EM>generators up-to-date</EM>;
+ - <EM>generators' saturation matrix up-to-date</EM> implies both
+ <EM>constraints up-to-date</EM> and <EM>generators up-to-date</EM>.
+*/
+class Status {
+public:
+ //! By default Status is the <EM>zero-dim universe</EM> assertion.
+ Status();
+
+ //! \name Test, remove or add an individual assertion from the conjunction
+ //@{
+ bool test_zero_dim_univ() const;
+ void reset_zero_dim_univ();
+ void set_zero_dim_univ();
+
+ bool test_empty() const;
+ void reset_empty();
+ void set_empty();
+
+ bool test_c_up_to_date() const;
+ void reset_c_up_to_date();
+ void set_c_up_to_date();
+
+ bool test_g_up_to_date() const;
+ void reset_g_up_to_date();
+ void set_g_up_to_date();
+
+ bool test_c_minimized() const;
+ void reset_c_minimized();
+ void set_c_minimized();
+
+ bool test_g_minimized() const;
+ void reset_g_minimized();
+ void set_g_minimized();
+
+ bool test_sat_c_up_to_date() const;
+ void reset_sat_c_up_to_date();
+ void set_sat_c_up_to_date();
+
+ bool test_sat_g_up_to_date() const;
+ void reset_sat_g_up_to_date();
+ void set_sat_g_up_to_date();
+
+ bool test_c_pending() const;
+ void reset_c_pending();
+ void set_c_pending();
+
+ bool test_g_pending() const;
+ void reset_g_pending();
+ void set_g_pending();
+ //@} // Test, remove or add an individual assertion from the conjunction
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+private:
+ //! Status is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bit-masks for the individual assertions
+ //@{
+ static const flags_t ZERO_DIM_UNIV = 0U;
+ static const flags_t EMPTY = 1U << 0;
+ static const flags_t C_UP_TO_DATE = 1U << 1;
+ static const flags_t G_UP_TO_DATE = 1U << 2;
+ static const flags_t C_MINIMIZED = 1U << 3;
+ static const flags_t G_MINIMIZED = 1U << 4;
+ static const flags_t SAT_C_UP_TO_DATE = 1U << 5;
+ static const flags_t SAT_G_UP_TO_DATE = 1U << 6;
+ static const flags_t CS_PENDING = 1U << 7;
+ static const flags_t GS_PENDING = 1U << 8;
+ //@} // Bit-masks for the individual assertions
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! Construct from a bit-mask.
+ Status(flags_t mask);
+
+ //! Check whether <EM>all</EM> bits in \p mask are set.
+ bool test_all(flags_t mask) const;
+
+ //! Check whether <EM>at least one</EM> bit in \p mask is set.
+ bool test_any(flags_t mask) const;
+
+ //! Set the bits in \p mask.
+ void set(flags_t mask);
+
+ //! Reset the bits in \p mask.
+ void reset(flags_t mask);
+};
+
+#endif // !defined(PPL_Status_idefs_hh)
diff --git a/src/Ph_Status_inlines.hh b/src/Ph_Status_inlines.hh
new file mode 100644
index 0000000..a4ce90b
--- /dev/null
+++ b/src/Ph_Status_inlines.hh
@@ -0,0 +1,217 @@
+/* Polyhedron::Status class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Status_inlines_hh
+#define PPL_Status_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Polyhedron::Status::Status(flags_t mask)
+ : flags(mask) {
+}
+
+inline
+Polyhedron::Status::Status()
+ : flags(ZERO_DIM_UNIV) {
+}
+
+inline bool
+Polyhedron::Status::test_all(flags_t mask) const {
+ return (flags & mask) == mask;
+}
+
+inline bool
+Polyhedron::Status::test_any(flags_t mask) const {
+ return (flags & mask) != 0;
+}
+
+inline void
+Polyhedron::Status::set(flags_t mask) {
+ flags |= mask;
+}
+
+inline void
+Polyhedron::Status::reset(flags_t mask) {
+ flags &= ~mask;
+}
+
+inline bool
+Polyhedron::Status::test_zero_dim_univ() const {
+ return flags == ZERO_DIM_UNIV;
+}
+
+inline void
+Polyhedron::Status::reset_zero_dim_univ() {
+ // This is a no-op if the current status is not zero-dim.
+ if (flags == ZERO_DIM_UNIV)
+ // In the zero-dim space, if it is not the universe it is empty.
+ flags = EMPTY;
+}
+
+inline void
+Polyhedron::Status::set_zero_dim_univ() {
+ // Zero-dim universe is incompatible with anything else.
+ flags = ZERO_DIM_UNIV;
+}
+
+inline bool
+Polyhedron::Status::test_empty() const {
+ return test_any(EMPTY);
+}
+
+inline void
+Polyhedron::Status::reset_empty() {
+ reset(EMPTY);
+}
+
+inline void
+Polyhedron::Status::set_empty() {
+ flags = EMPTY;
+}
+
+inline bool
+Polyhedron::Status::test_c_up_to_date() const {
+ return test_any(C_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::reset_c_up_to_date() {
+ reset(C_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::set_c_up_to_date() {
+ set(C_UP_TO_DATE);
+}
+
+inline bool
+Polyhedron::Status::test_g_up_to_date() const {
+ return test_any(G_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::reset_g_up_to_date() {
+ reset(G_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::set_g_up_to_date() {
+ set(G_UP_TO_DATE);
+}
+
+inline bool
+Polyhedron::Status::test_c_minimized() const {
+ return test_any(C_MINIMIZED);
+}
+
+inline void
+Polyhedron::Status::reset_c_minimized() {
+ reset(C_MINIMIZED);
+}
+
+inline void
+Polyhedron::Status::set_c_minimized() {
+ set(C_MINIMIZED);
+}
+
+inline bool
+Polyhedron::Status::test_g_minimized() const {
+ return test_any(G_MINIMIZED);
+}
+
+inline void
+Polyhedron::Status::reset_g_minimized() {
+ reset(G_MINIMIZED);
+}
+
+inline void
+Polyhedron::Status::set_g_minimized() {
+ set(G_MINIMIZED);
+}
+
+
+inline bool
+Polyhedron::Status::test_c_pending() const {
+ return test_any(CS_PENDING);
+}
+
+inline void
+Polyhedron::Status::reset_c_pending() {
+ reset(CS_PENDING);
+}
+
+inline void
+Polyhedron::Status::set_c_pending() {
+ set(CS_PENDING);
+}
+
+inline bool
+Polyhedron::Status::test_g_pending() const {
+ return test_any(GS_PENDING);
+}
+
+inline void
+Polyhedron::Status::reset_g_pending() {
+ reset(GS_PENDING);
+}
+
+inline void
+Polyhedron::Status::set_g_pending() {
+ set(GS_PENDING);
+}
+
+
+inline bool
+Polyhedron::Status::test_sat_c_up_to_date() const {
+ return test_any(SAT_C_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::reset_sat_c_up_to_date() {
+ reset(SAT_C_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::set_sat_c_up_to_date() {
+ set(SAT_C_UP_TO_DATE);
+}
+
+inline bool
+Polyhedron::Status::test_sat_g_up_to_date() const {
+ return test_any(SAT_G_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::reset_sat_g_up_to_date() {
+ reset(SAT_G_UP_TO_DATE);
+}
+
+inline void
+Polyhedron::Status::set_sat_g_up_to_date() {
+ set(SAT_G_UP_TO_DATE);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Status_inlines_hh)
diff --git a/src/Pointset_Powerset.cc b/src/Pointset_Powerset.cc
index 4440aaa..1a33b05 100644
--- a/src/Pointset_Powerset.cc
+++ b/src/Pointset_Powerset.cc
@@ -1,6 +1,6 @@
/* Pointset_Powerset class implementation: non-inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Pointset_Powerset.defs.hh"
-#include "Grid.defs.hh"
+#include "Pointset_Powerset_defs.hh"
+#include "Grid_defs.hh"
#include <utility>
namespace PPL = Parma_Polyhedra_Library;
@@ -42,9 +42,9 @@ PPL::Pointset_Powerset<PPL::NNC_Polyhedron>
const NNC_Polyhedron& ph_yi = yi->pointset();
Sequence tmp_sequence;
for (Sequence_const_iterator itr = new_sequence.begin(),
- ns_end = new_sequence.end(); itr != ns_end; ++itr) {
- std::pair<NNC_Polyhedron, Pointset_Powerset<NNC_Polyhedron> > partition
- = linear_partition(ph_yi, itr->pointset());
+ ns_end = new_sequence.end(); itr != ns_end; ++itr) {
+ const std::pair<NNC_Polyhedron, Pointset_Powerset<NNC_Polyhedron> >
+ partition = linear_partition(ph_yi, itr->pointset());
const Pointset_Powerset<NNC_Polyhedron>& residues = partition.second;
// Append the contents of `residues' to `tmp_sequence'.
std::copy(residues.begin(), residues.end(), back_inserter(tmp_sequence));
@@ -70,38 +70,38 @@ PPL::Pointset_Powerset<PPL::NNC_Polyhedron>
/*! \relates Parma_Polyhedra_Library::Pointset_Powerset */
bool
PPL::check_containment(const NNC_Polyhedron& ph,
- const Pointset_Powerset<NNC_Polyhedron>& ps) {
+ const Pointset_Powerset<NNC_Polyhedron>& ps) {
if (ph.is_empty())
return true;
Pointset_Powerset<NNC_Polyhedron> tmp(ph.space_dimension(), EMPTY);
tmp.add_disjunct(ph);
for (Pointset_Powerset<NNC_Polyhedron>::const_iterator
- i = ps.begin(), ps_end = ps.end(); i != ps_end; ++i) {
+ i = ps.begin(), ps_end = ps.end(); i != ps_end; ++i) {
const NNC_Polyhedron& pi = i->pointset();
for (Pointset_Powerset<NNC_Polyhedron>::iterator
- j = tmp.begin(); j != tmp.end(); ) {
+ j = tmp.begin(); j != tmp.end(); ) {
const NNC_Polyhedron& pj = j->pointset();
if (pi.contains(pj))
- j = tmp.drop_disjunct(j);
+ j = tmp.drop_disjunct(j);
else
- ++j;
+ ++j;
}
if (tmp.empty())
return true;
else {
Pointset_Powerset<NNC_Polyhedron> new_disjuncts(ph.space_dimension(),
- EMPTY);
+ EMPTY);
for (Pointset_Powerset<NNC_Polyhedron>::iterator
- j = tmp.begin(); j != tmp.end(); ) {
- const NNC_Polyhedron& pj = j->pointset();
- if (pj.is_disjoint_from(pi))
- ++j;
- else {
- std::pair<NNC_Polyhedron, Pointset_Powerset<NNC_Polyhedron> >
- partition = linear_partition(pi, pj);
- new_disjuncts.upper_bound_assign(partition.second);
- j = tmp.drop_disjunct(j);
- }
+ j = tmp.begin(); j != tmp.end(); ) {
+ const NNC_Polyhedron& pj = j->pointset();
+ if (pj.is_disjoint_from(pi))
+ ++j;
+ else {
+ const std::pair<NNC_Polyhedron, Pointset_Powerset<NNC_Polyhedron> >
+ partition = linear_partition(pi, pj);
+ new_disjuncts.upper_bound_assign(partition.second);
+ j = tmp.drop_disjunct(j);
+ }
}
tmp.upper_bound_assign(new_disjuncts);
}
@@ -123,19 +123,19 @@ namespace {
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
bool
approximate_partition_aux(const PPL::Congruence& c,
- PPL::Grid& gr,
- PPL::Pointset_Powerset<PPL::Grid>& r) {
+ PPL::Grid& gr,
+ PPL::Pointset_Powerset<PPL::Grid>& r) {
using namespace PPL;
const Coefficient& c_modulus = c.modulus();
- Grid gr_copy(gr);
+ const Grid gr_copy(gr);
gr.add_congruence(c);
if (gr.is_empty()) {
r.add_disjunct(gr_copy);
return true;
}
- Congruence_System cgs = gr.congruences();
- Congruence_System cgs_copy = gr_copy.congruences();
+ const Congruence_System cgs = gr.congruences();
+ const Congruence_System cgs_copy = gr_copy.congruences();
// When c is an equality, not satisfied by Grid gr
// then add gr to the set r. There is no finite
// partition in this case.
@@ -159,7 +159,7 @@ approximate_partition_aux(const PPL::Congruence& c,
// in this direction, then there is a finite partition and that
// is added to r.
const Coefficient& c_inhomogeneous_term = c.inhomogeneous_term();
- Linear_Expression le(c);
+ Linear_Expression le(c.expression());
le -= c_inhomogeneous_term;
PPL_DIRTY_TEMP_COEFFICIENT(n);
rem_assign(n, c_inhomogeneous_term, c_modulus);
@@ -171,7 +171,7 @@ approximate_partition_aux(const PPL::Congruence& c,
Grid gr_tmp(gr_copy);
gr_tmp.add_congruence((le+i %= 0) / c_modulus);
if (!gr_tmp.is_empty())
- r.add_disjunct(gr_tmp);
+ r.add_disjunct(gr_tmp);
}
return true;
}
@@ -181,7 +181,7 @@ approximate_partition_aux(const PPL::Congruence& c,
/*! \relates Parma_Polyhedra_Library::Pointset_Powerset */
std::pair<PPL::Grid, PPL::Pointset_Powerset<PPL::Grid> >
PPL::approximate_partition(const Grid& p, const Grid& q,
- bool& finite_partition) {
+ bool& finite_partition) {
using namespace PPL;
finite_partition = true;
Pointset_Powerset<Grid> r(p.space_dimension(), EMPTY);
@@ -191,10 +191,10 @@ PPL::approximate_partition(const Grid& p, const Grid& q,
Grid gr = q;
const Congruence_System& p_congruences = p.congruences();
for (Congruence_System::const_iterator i = p_congruences.begin(),
- p_congruences_end = p_congruences.end(); i != p_congruences_end; ++i)
+ p_congruences_end = p_congruences.end(); i != p_congruences_end; ++i)
if (!approximate_partition_aux(*i, gr, r)) {
finite_partition = false;
- Pointset_Powerset<Grid> s(q);
+ const Pointset_Powerset<Grid> s(q);
return std::make_pair(gr, s);
}
return std::make_pair(gr, r);
@@ -203,36 +203,36 @@ PPL::approximate_partition(const Grid& p, const Grid& q,
/*! \relates Parma_Polyhedra_Library::Pointset_Powerset */
bool
PPL::check_containment(const Grid& ph,
- const Pointset_Powerset<Grid>& ps) {
+ const Pointset_Powerset<Grid>& ps) {
if (ph.is_empty())
return true;
Pointset_Powerset<Grid> tmp(ph.space_dimension(), EMPTY);
tmp.add_disjunct(ph);
for (Pointset_Powerset<Grid>::const_iterator
- i = ps.begin(), ps_end = ps.end(); i != ps_end; ++i) {
+ i = ps.begin(), ps_end = ps.end(); i != ps_end; ++i) {
const Grid& pi = i->pointset();
for (Pointset_Powerset<Grid>::iterator
- j = tmp.begin(); j != tmp.end(); ) {
+ j = tmp.begin(); j != tmp.end(); ) {
const Grid& pj = j->pointset();
if (pi.contains(pj))
- j = tmp.drop_disjunct(j);
+ j = tmp.drop_disjunct(j);
else
- ++j;
+ ++j;
}
if (tmp.empty())
return true;
else {
Pointset_Powerset<Grid> new_disjuncts(ph.space_dimension(),
- EMPTY);
+ EMPTY);
for (Pointset_Powerset<Grid>::iterator
- j = tmp.begin(); j != tmp.end(); ) {
- const Grid& pj = j->pointset();
- if (pj.is_disjoint_from(pi))
- ++j;
- else {
+ j = tmp.begin(); j != tmp.end(); ) {
+ const Grid& pj = j->pointset();
+ if (pj.is_disjoint_from(pi))
+ ++j;
+ else {
bool finite_partition;
- std::pair<Grid, Pointset_Powerset<Grid> >
- partition = approximate_partition(pi, pj, finite_partition);
+ const std::pair<Grid, Pointset_Powerset<Grid> >
+ partition = approximate_partition(pi, pj, finite_partition);
// If there is a finite partition, then we add the new
// disjuncts to the temporary set of disjuncts and drop pj.
@@ -243,9 +243,9 @@ PPL::check_containment(const Grid& ph,
// also not have a finite partition with respect to pi.
if (!finite_partition)
break;
- new_disjuncts.upper_bound_assign(partition.second);
- j = tmp.drop_disjunct(j);
- }
+ new_disjuncts.upper_bound_assign(partition.second);
+ j = tmp.drop_disjunct(j);
+ }
}
tmp.upper_bound_assign(new_disjuncts);
}
@@ -267,10 +267,10 @@ PPL::Pointset_Powerset<PPL::Grid>
const Grid& gr_yi = yi->pointset();
Sequence tmp_sequence;
for (Sequence_const_iterator itr = new_sequence.begin(),
- ns_end = new_sequence.end(); itr != ns_end; ++itr) {
+ ns_end = new_sequence.end(); itr != ns_end; ++itr) {
bool finite_partition;
- std::pair<Grid, Pointset_Powerset<Grid> > partition
- = approximate_partition(gr_yi, itr->pointset(), finite_partition);
+ const std::pair<Grid, Pointset_Powerset<Grid> > partition
+ = approximate_partition(gr_yi, itr->pointset(), finite_partition);
const Pointset_Powerset<Grid>& residues = partition.second;
// Append the contents of `residues' to `tmp_sequence'.
std::copy(residues.begin(), residues.end(), back_inserter(tmp_sequence));
@@ -301,9 +301,9 @@ PPL::Pointset_Powerset<PPL::NNC_Polyhedron>
: Base(), space_dim(y.space_dimension()) {
Pointset_Powerset& x = *this;
for (Pointset_Powerset<C_Polyhedron>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
+ y_end = y.end(); i != y_end; ++i)
x.sequence.push_back(Determinate<NNC_Polyhedron>
- (NNC_Polyhedron(i->pointset())));
+ (NNC_Polyhedron(i->pointset())));
x.reduced = y.reduced;
PPL_ASSERT_HEAVY(x.OK());
}
@@ -316,9 +316,9 @@ PPL::Pointset_Powerset<PPL::NNC_Polyhedron>
: Base(), space_dim(y.space_dimension()) {
Pointset_Powerset& x = *this;
for (Pointset_Powerset<Grid>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
+ y_end = y.end(); i != y_end; ++i)
x.sequence.push_back(Determinate<NNC_Polyhedron>
- (NNC_Polyhedron(i->pointset())));
+ (NNC_Polyhedron(i->pointset())));
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
}
@@ -331,9 +331,9 @@ PPL::Pointset_Powerset<PPL::C_Polyhedron>
: Base(), space_dim(y.space_dimension()) {
Pointset_Powerset& x = *this;
for (Pointset_Powerset<NNC_Polyhedron>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
+ y_end = y.end(); i != y_end; ++i)
x.sequence.push_back(Determinate<C_Polyhedron>
- (C_Polyhedron(i->pointset())));
+ (C_Polyhedron(i->pointset())));
// Note: this might be non-reduced even when `y' is known to be
// omega-reduced, because the constructor of C_Polyhedron, by
diff --git a/src/Pointset_Powerset.defs.hh b/src/Pointset_Powerset.defs.hh
deleted file mode 100644
index 6062bcd..0000000
--- a/src/Pointset_Powerset.defs.hh
+++ /dev/null
@@ -1,1450 +0,0 @@
-/* Pointset_Powerset class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pointset_Powerset_defs_hh
-#define PPL_Pointset_Powerset_defs_hh
-
-#include "Pointset_Powerset.types.hh"
-#include "globals.defs.hh"
-#include "BHRZ03_Certificate.types.hh"
-#include "Constraint.types.hh"
-#include "Constraint_System.types.hh"
-#include "Congruence.types.hh"
-#include "Congruence_System.types.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include "Polyhedron.defs.hh"
-#include "Grid.defs.hh"
-#include "Partially_Reduced_Product.defs.hh"
-#include "Variables_Set.types.hh"
-#include "Determinate.defs.hh"
-#include "Powerset.defs.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include <iosfwd>
-#include <list>
-#include <map>
-
-//! The powerset construction instantiated on PPL pointset domains.
-/*! \ingroup PPL_CXX_interface */
-/*!
- \warning
- At present, the supported instantiations for the
- disjunct domain template \p PSET are the simple pointset domains:
- <CODE>C_Polyhedron</CODE>,
- <CODE>NNC_Polyhedron</CODE>,
- <CODE>Grid</CODE>,
- <CODE>Octagonal_Shape<T></CODE>,
- <CODE>BD_Shape<T></CODE>,
- <CODE>Box<T></CODE>.
-*/
-template <typename PSET>
-class Parma_Polyhedra_Library::Pointset_Powerset
- : public Parma_Polyhedra_Library::Powerset
-<Parma_Polyhedra_Library::Determinate<PSET> > {
-public:
- typedef PSET element_type;
-
-private:
- typedef Determinate<PSET> Det_PSET;
- typedef Powerset<Det_PSET> Base;
-
-public:
- //! Returns the maximum space dimension a Pointset_Powerset<PSET> can handle.
- static dimension_type max_space_dimension();
-
- //! \name Constructors
- //@{
-
- //! Builds a universe (top) or empty (bottom) Pointset_Powerset.
- /*!
- \param num_dimensions
- The number of dimensions of the vector space enclosing the powerset;
-
- \param kind
- Specifies whether the universe or the empty powerset has to be built.
- */
- explicit
- Pointset_Powerset(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- Pointset_Powerset(const Pointset_Powerset& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- Conversion constructor: the type <CODE>QH</CODE> of the disjuncts
- in the source powerset is different from <CODE>PSET</CODE>.
-
- \param y
- The powerset to be used to build the new powerset.
-
- \param complexity
- The maximal complexity of any algorithms used.
- */
- template <typename QH>
- explicit Pointset_Powerset(const Pointset_Powerset<QH>& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- Creates a Pointset_Powerset from a product
- This will be created as a single disjunct of type PSET that
- approximates the product.
- */
- template <typename QH1, typename QH2, typename R>
- explicit
- Pointset_Powerset(const Partially_Reduced_Product<QH1, QH2, R>& prp,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- Creates a Pointset_Powerset with a single disjunct approximating
- the system of constraints \p cs.
- */
- explicit Pointset_Powerset(const Constraint_System& cs);
-
- /*! \brief
- Creates a Pointset_Powerset with a single disjunct approximating
- the system of congruences \p cgs.
- */
- explicit Pointset_Powerset(const Congruence_System& cgs);
-
-
- //! Builds a pointset_powerset out of a closed polyhedron.
- /*!
- Builds a powerset that is either empty (if the polyhedron is found
- to be empty) or contains a single disjunct approximating the
- polyhedron; this must only use algorithms that do not exceed the
- specified complexity. The powerset inherits the space dimension
- of the polyhedron.
-
- \param ph
- The closed polyhedron to be used to build the powerset.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \exception std::length_error
- Thrown if the space dimension of \p ph exceeds the maximum
- allowed space dimension.
- */
- explicit Pointset_Powerset(const C_Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a pointset_powerset out of an nnc polyhedron.
- /*!
- Builds a powerset that is either empty (if the polyhedron is found
- to be empty) or contains a single disjunct approximating the
- polyhedron; this must only use algorithms that do not exceed the
- specified complexity. The powerset inherits the space dimension
- of the polyhedron.
-
- \param ph
- The closed polyhedron to be used to build the powerset.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \exception std::length_error
- Thrown if the space dimension of \p ph exceeds the maximum
- allowed space dimension.
- */
- explicit Pointset_Powerset(const NNC_Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
-
- //! Builds a pointset_powerset out of a grid.
- /*!
- If the grid is nonempty, builds a powerset containing a single
- disjunct approximating the grid. Builds the empty powerset
- otherwise. The powerset inherits the space dimension of the grid.
-
- \param gr
- The grid to be used to build the powerset.
-
- \param complexity
- This argument is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p gr exceeds the maximum
- allowed space dimension.
- */
- explicit Pointset_Powerset(const Grid& gr,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a pointset_powerset out of an octagonal shape.
- /*!
- If the octagonal shape is nonempty, builds a powerset
- containing a single disjunct approximating the octagonal
- shape. Builds the empty powerset otherwise. The powerset
- inherits the space dimension of the octagonal shape.
-
- \param os
- The octagonal shape to be used to build the powerset.
-
- \param complexity
- This argument is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p os exceeds the maximum
- allowed space dimension.
- */
- template <typename T>
- explicit Pointset_Powerset(const Octagonal_Shape<T>& os,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a pointset_powerset out of a bd shape.
- /*!
- If the bd shape is nonempty, builds a powerset containing a
- single disjunct approximating the bd shape. Builds the empty
- powerset otherwise. The powerset inherits the space dimension
- of the bd shape.
-
- \param bds
- The bd shape to be used to build the powerset.
-
- \param complexity
- This argument is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p bds exceeds the maximum
- allowed space dimension.
- */
- template <typename T>
- explicit Pointset_Powerset(const BD_Shape<T>& bds,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a pointset_powerset out of a box.
- /*!
- If the box is nonempty, builds a powerset containing a single
- disjunct approximating the box. Builds the empty powerset
- otherwise. The powerset inherits the space dimension of the box.
-
- \param box
- The box to be used to build the powerset.
-
- \param complexity
- This argument is ignored.
-
- \exception std::length_error
- Thrown if the space dimension of \p box exceeds the maximum
- allowed space dimension.
- */
- template <typename Interval>
- explicit Pointset_Powerset(const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //@} // Constructors and Destructor
-
- //! \name Member Functions that Do Not Modify the Pointset_Powerset
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type affine_dimension() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is
- an empty powerset.
- */
- bool is_empty() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is the top element of the powerset lattice.
- */
- bool is_universe() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the disjuncts
- in \p *this are topologically closed.
- */
- bool is_topologically_closed() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all elements in \p *this
- are bounded.
- */
- bool is_bounded() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
- /*!
- \exception std::invalid_argument
- Thrown if \p x and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool is_disjoint_from(const Pointset_Powerset& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
- bool is_discrete() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
-
- \note
- A variable is constrained if there exists a non-redundant disjunct
- that is constraining the variable: this definition relies on the
- powerset lattice structure and may be somewhat different from the
- geometric intuition.
- For instance, variable \f$x\f$ is constrained in the powerset
- \f[
- \mathit{ps} = \bigl\{ \{ x \geq 0 \}, \{ x \leq 0 \} \bigr\},
- \f]
- even though \f$\mathit{ps}\f$ is geometrically equal to the
- whole vector space.
- */
- bool constrains(Variable var) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from above in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from below in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d
- and \p maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value;
-
- \param g
- When maximization succeeds, will be assigned the point or
- closure point where \p expr reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p g are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value;
-
- \param g
- When minimization succeeds, will be assigned a point or
- closure point where \p expr reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p g are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this geometrically
- covers \p y, i.e., if any point (in some element) of \p y is also
- a point (of some element) of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \warning
- This may be <EM>really</EM> expensive!
- */
- bool geometrically_covers(const Pointset_Powerset& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is geometrically
- equal to \p y, i.e., if (the elements of) \p *this and \p y
- contain the same set of points.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \warning
- This may be <EM>really</EM> expensive!
- */
- bool geometrically_equals(const Pointset_Powerset& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if each disjunct
- of \p y is contained in a disjunct of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool contains(const Pointset_Powerset& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if each disjunct
- of \p y is strictly contained in a disjunct of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool strictly_contains(const Pointset_Powerset& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains at least one integer point.
- */
- bool contains_integer_point() const;
-
- /*! \brief
- Returns the relations holding between the powerset \p *this
- and the constraint \p c.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- /*! \brief
- Returns the relations holding between the powerset \p *this
- and the generator \p g.
-
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- Poly_Gen_Relation relation_with(const Generator& g) const;
-
- /*! \brief
- Returns the relations holding between the powerset \p *this
- and the congruence \p c.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- /*! \brief
- Returns a lower bound to the size in bytes of the memory
- managed by \p *this.
- */
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If \p x and \p y are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //@} // Member Functions that Do Not Modify the Pointset_Powerset
-
- //! \name Space Dimension Preserving Member Functions that May Modify the Pointset_Powerset
- //@{
-
- //! Adds to \p *this the disjunct \p ph.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p ph are dimension-incompatible.
- */
- void add_disjunct(const PSET& ph);
-
- //! Intersects \p *this with constraint \p c.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are topology-incompatible
- or dimension-incompatible.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Use the constraint \p c to refine \p *this.
-
- \param c
- The constraint to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- //! Intersects \p *this with the constraints in \p cs.
- /*!
- \param cs
- The constraints to intersect with.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are topology-incompatible or
- dimension-incompatible.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Use the constraints in \p cs to refine \p *this.
-
- \param cs
- The constraints to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- //! Intersects \p *this with congruence \p cg.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are topology-incompatible
- or dimension-incompatible.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Use the congruence \p cg to refine \p *this.
-
- \param cg
- The congruence to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- //! Intersects \p *this with the congruences in \p cgs.
- /*!
- \param cgs
- The congruences to intersect with.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are topology-incompatible or
- dimension-incompatible.
- */
- void add_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Use the congruences in \p cgs to refine \p *this.
-
- \param cgs
- The congruences to be used for refinement.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- //! Assigns to \p *this the intersection of \p *this and \p y.
- /*!
- The result is obtained by intersecting each disjunct in \p *this
- with each disjunct in \p y and collecting all these intersections.
- */
- void intersection_assign(const Pointset_Powerset& y);
-
- /*! \brief
- Assigns to \p *this an (a smallest)
- over-approximation as a powerset of the disjunct domain of the
- set-theoretical difference of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- void difference_assign(const Pointset_Powerset& y);
-
- /*! \brief
- Assigns to \p *this a \ref Powerset_Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
- If \c false is returned, then the intersection is empty.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool simplify_using_context_assign(const Pointset_Powerset& y);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine image"
- of \p *this under the function mapping variable \p var to the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of
- \p *this.
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine preimage"
- of \p *this under the function mapping variable \p var to the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of
- \p *this.
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void
- generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*!
- \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*!
- \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
-
- The result is obtained by computing the pairwise
- \ref Time_Elapse_Operator "time elapse" of each disjunct
- in \p *this with each disjunct in \p y.
- */
- void time_elapse_assign(const Pointset_Powerset& y);
-
- /*! \brief
- \ref Wrapping_Operator "Wraps" the specified dimensions of the
- vector space.
-
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be wrapped.
-
- \param w
- The width of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param r
- The representation of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param o
- The overflow behavior of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param cs_p
- Possibly null pointer to a constraint system whose variables
- are contained in \p vars. If <CODE>*cs_p</CODE> depends on
- variables not in \p vars, the behavior is undefined.
- When non-null, the pointed-to constraint system is assumed to
- represent the conditional or looping construct guard with respect
- to which wrapping is performed. Since wrapping requires the
- computation of upper bounds and due to non-distributivity of
- constraint refinement over upper bounds, passing a constraint
- system in this way can be more precise than refining the result of
- the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
-
- \param complexity_threshold
- A precision parameter of the \ref Wrapping_Operator "wrapping operator":
- higher values result in possibly improved precision.
-
- \param wrap_individually
- <CODE>true</CODE> if the dimensions should be wrapped individually
- (something that results in much greater efficiency to the detriment of
- precision).
-
- \exception std::invalid_argument
- Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
- \p vars, or if \p *this is dimension-incompatible \p vars or with
- <CODE>*cs_p</CODE>.
- */
- void wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p = 0,
- unsigned complexity_threshold = 16,
- bool wrap_individually = true);
-
- /*! \brief
- Assign to \p *this the result of (recursively) merging together
- the pairs of disjuncts whose upper-bound is the same as their
- set-theoretical union.
-
- On exit, for all the pairs \f$\cP\f$, \f$\cQ\f$ of different disjuncts
- in \p *this, we have \f$\cP \uplus \cQ \neq \cP \union \cQ\f$.
- */
- void pairwise_reduce();
-
- /*! \brief
- Assigns to \p *this the result of applying the
- \ref pps_bgp99_extrapolation "BGP99 extrapolation operator"
- to \p *this and \p y, using the widening function \p widen_fun
- and the cardinality threshold \p max_disjuncts.
-
- \param y
- A powerset that <EM>must</EM> definitely entail \p *this;
-
- \param widen_fun
- The widening function to be used on polyhedra objects. It is obtained
- from the corresponding widening method by using the helper function
- Parma_Polyhedra_Library::widen_fun_ref. Legal values are, e.g.,
- <CODE>widen_fun_ref(&Polyhedron::H79_widening_assign)</CODE> and
- <CODE>widen_fun_ref(&Polyhedron::limited_H79_extrapolation_assign, cs)</CODE>;
-
- \param max_disjuncts
- The maximum number of disjuncts occurring in the powerset \p *this
- <EM>before</EM> starting the computation. If this number is exceeded,
- some of the disjuncts in \p *this are collapsed (i.e., joined together).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- For a description of the extrapolation operator,
- see \ref BGP99 "[BGP99]" and \ref BHZ03b "[BHZ03b]".
- */
- template <typename Widening>
- void BGP99_extrapolation_assign(const Pointset_Powerset& y,
- Widening widen_fun,
- unsigned max_disjuncts);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref pps_certificate_widening "BHZ03-widening"
- between \p *this and \p y, using the widening function \p widen_fun
- certified by the convergence certificate \p Cert.
-
- \param y
- The finite powerset computed in the previous iteration step.
- It <EM>must</EM> definitely entail \p *this;
-
- \param widen_fun
- The widening function to be used on disjuncts.
- It is obtained from the corresponding widening method by using
- the helper function widen_fun_ref. Legal values are, e.g.,
- <CODE>widen_fun_ref(&Polyhedron::H79_widening_assign)</CODE> and
- <CODE>widen_fun_ref(&Polyhedron::limited_H79_extrapolation_assign, cs)</CODE>.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
-
- \warning
- In order to obtain a proper widening operator, the template parameter
- \p Cert should be a finite convergence certificate for the base-level
- widening function \p widen_fun; otherwise, an extrapolation operator is
- obtained.
- For a description of the methods that should be provided
- by \p Cert, see BHRZ03_Certificate or H79_Certificate.
- */
- template <typename Cert, typename Widening>
- void BHZ03_widening_assign(const Pointset_Powerset& y, Widening widen_fun);
-
- //@} // Space Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- /*! \brief
- The assignment operator
- (\p *this and \p y can be dimension-incompatible).
- */
- Pointset_Powerset& operator=(const Pointset_Powerset& y);
-
- /*! \brief
- Conversion assignment: the type <CODE>QH</CODE> of the disjuncts
- in the source powerset is different from <CODE>PSET</CODE>
- (\p *this and \p y can be dimension-incompatible).
- */
- template <typename QH>
- Pointset_Powerset& operator=(const Pointset_Powerset<QH>& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Pointset_Powerset& y);
-
- /*! \brief
- Adds \p m new dimensions to the vector space containing \p *this
- and embeds each disjunct in \p *this in the new space.
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Adds \p m new dimensions to the vector space containing \p *this
- without embedding the disjuncts in \p *this in the new space.
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- //! Assigns to \p *this the concatenation of \p *this and \p y.
- /*!
- The result is obtained by computing the pairwise
- \ref Concatenating_Polyhedra "concatenation" of each disjunct
- in \p *this with each disjunct in \p y.
- */
- void concatenate_assign(const Pointset_Powerset& y);
-
- //! Removes all the specified space dimensions.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher space dimensions so that the resulting space
- will have dimension \p new_dimension.
-
- \exception std::invalid_argument
- Thrown if \p new_dimensions is greater than the space dimension
- of \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a partial function.
-
- See also Polyhedron::map_space_dimensions.
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector
- space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the vector
- space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref Expanding_One_Dimension_of_the_Vector_Space_to_Multiple_Dimensions
- "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars. Also
- thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are
- \ref Folding_Multiple_Dimensions_of_the_Vector_Space_into_One_Dimension
- "folded" into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
-public:
- typedef typename Base::size_type size_type;
- typedef typename Base::value_type value_type;
- typedef typename Base::iterator iterator;
- typedef typename Base::const_iterator const_iterator;
- typedef typename Base::reverse_iterator reverse_iterator;
- typedef typename Base::const_reverse_iterator const_reverse_iterator;
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
-private:
- typedef typename Base::Sequence Sequence;
- typedef typename Base::Sequence_iterator Sequence_iterator;
- typedef typename Base::Sequence_const_iterator Sequence_const_iterator;
-
- //! The number of dimensions of the enclosing vector space.
- dimension_type space_dim;
-
- /*! \brief
- Assigns to \p dest a \ref Powerset_Meet_Preserving_Simplification
- "powerset meet-preserving enlargement" of itself with respect to
- \p *this. If \c false is returned, then the intersection is empty.
-
- \note
- It is assumed that \p *this and \p dest are topology-compatible
- and dimension-compatible.
- */
- bool intersection_preserving_enlarge_element(PSET& dest) const;
-
- /*! \brief
- Assigns to \p *this the result of applying the BGP99 heuristics
- to \p *this and \p y, using the widening function \p widen_fun.
- */
- template <typename Widening>
- void BGP99_heuristics_assign(const Pointset_Powerset& y, Widening widen_fun);
-
- //! Records in \p cert_ms the certificates for this set of disjuncts.
- template <typename Cert>
- void collect_certificates(std::map<Cert, size_type,
- typename Cert::Compare>& cert_ms) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the current set of disjuncts
- is stabilizing with respect to the multiset of certificates \p y_cert_ms.
- */
- template <typename Cert>
- bool is_cert_multiset_stabilizing(const std::map<Cert, size_type,
- typename Cert::Compare>&
- y_cert_ms) const;
-
- // FIXME: here it should be enough to befriend the template constructor
- // template <typename QH>
- // Pointset_Powerset(const Pointset_Powerset<QH>&),
- // but, apparently, this cannot be done.
- friend class Pointset_Powerset<NNC_Polyhedron>;
-};
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Pointset_Powerset */
-template <typename PSET>
-void swap(Pointset_Powerset<PSET>& x, Pointset_Powerset<PSET>& y);
-
-//! Partitions \p q with respect to \p p.
-/*! \relates Pointset_Powerset
- Let \p p and \p q be two polyhedra.
- The function returns an object <CODE>r</CODE> of type
- <CODE>std::pair\<PSET, Pointset_Powerset\<NNC_Polyhedron\> \></CODE>
- such that
- - <CODE>r.first</CODE> is the intersection of \p p and \p q;
- - <CODE>r.second</CODE> has the property that all its elements are
- pairwise disjoint and disjoint from \p p;
- - the set-theoretical union of <CODE>r.first</CODE> with all the
- elements of <CODE>r.second</CODE> gives \p q (i.e., <CODE>r</CODE>
- is the representation of a partition of \p q).
-
- \if Include_Implementation_Details
-
- See
- <A HREF="http://bugseng.com/products/ppl/Documentation/bibliography#Srivastava93">
- this paper</A> for more information about the implementation.
- \endif
-*/
-template <typename PSET>
-std::pair<PSET, Pointset_Powerset<NNC_Polyhedron> >
-linear_partition(const PSET& p, const PSET& q);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if the union of
- the NNC polyhedra in \p ps contains the NNC polyhedron \p ph.
-
- \relates Pointset_Powerset
-*/
-bool
-check_containment(const NNC_Polyhedron& ph,
- const Pointset_Powerset<NNC_Polyhedron>& ps);
-
-
-/*! \brief
- Partitions the grid \p q with respect to grid \p p if and only if
- such a partition is finite.
-
- \relates Parma_Polyhedra_Library::Pointset_Powerset
- Let \p p and \p q be two grids.
- The function returns an object <CODE>r</CODE> of type
- <CODE>std::pair\<PSET, Pointset_Powerset\<Grid\> \></CODE>
- such that
- - <CODE>r.first</CODE> is the intersection of \p p and \p q;
- - If there is a finite partition of \p q with respect to \p p
- the Boolean <CODE>finite_partition</CODE> is set to true and
- <CODE>r.second</CODE> has the property that all its elements are
- pairwise disjoint and disjoint from \p p and the set-theoretical
- union of <CODE>r.first</CODE> with all the elements of
- <CODE>r.second</CODE> gives \p q (i.e., <CODE>r</CODE>
- is the representation of a partition of \p q).
- - Otherwise the Boolean <CODE>finite_partition</CODE> is set to false
- and the singleton set that contains \p q is stored in
- <CODE>r.second</CODE>r.
-*/
-std::pair<Grid, Pointset_Powerset<Grid> >
-approximate_partition(const Grid& p, const Grid& q, bool& finite_partition);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if the union of
- the grids \p ps contains the grid \p g.
-
- \relates Pointset_Powerset
-*/
-bool
-check_containment(const Grid& ph,
- const Pointset_Powerset<Grid>& ps);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if the union of
- the objects in \p ps contains \p ph.
-
- \relates Pointset_Powerset
- \note
- It is assumed that the template parameter PSET can be converted
- without precision loss into an NNC_Polyhedron; otherwise,
- an incorrect result might be obtained.
-*/
-template <typename PSET>
-bool
-check_containment(const PSET& ph, const Pointset_Powerset<PSET>& ps);
-
-// CHECKME: according to the Intel compiler, the declaration of the
-// following specialization (of the class template parameter) should come
-// before the declaration of the corresponding full specialization
-// (where the member template parameter is specialized too).
-template <>
-template <typename QH>
-Pointset_Powerset<NNC_Polyhedron>
-::Pointset_Powerset(const Pointset_Powerset<QH>& y,
- Complexity_Class);
-
-// Non-inline full specializations should be declared here
-// so as to inhibit multiple instantiations of the generic template.
-template <>
-template <>
-Pointset_Powerset<NNC_Polyhedron>
-::Pointset_Powerset(const Pointset_Powerset<C_Polyhedron>& y,
- Complexity_Class);
-
-template <>
-template <>
-Pointset_Powerset<NNC_Polyhedron>
-::Pointset_Powerset(const Pointset_Powerset<Grid>& y,
- Complexity_Class);
-
-template <>
-template <>
-Pointset_Powerset<C_Polyhedron>
-::Pointset_Powerset(const Pointset_Powerset<NNC_Polyhedron>& y,
- Complexity_Class);
-
-template <>
-void
-Pointset_Powerset<NNC_Polyhedron>
-::difference_assign(const Pointset_Powerset& y);
-
-template <>
-void
-Pointset_Powerset<Grid>
-::difference_assign(const Pointset_Powerset& y);
-
-template <>
-bool
-Pointset_Powerset<NNC_Polyhedron>
-::geometrically_covers(const Pointset_Powerset& y) const;
-
-template <>
-bool
-Pointset_Powerset<Grid>
-::geometrically_covers(const Pointset_Powerset& y) const;
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Pointset_Powerset.inlines.hh"
-#include "Pointset_Powerset.templates.hh"
-
-#endif // !defined(PPL_Pointset_Powerset_defs_hh)
diff --git a/src/Pointset_Powerset.inlines.hh b/src/Pointset_Powerset.inlines.hh
deleted file mode 100644
index 4076cb2..0000000
--- a/src/Pointset_Powerset.inlines.hh
+++ /dev/null
@@ -1,320 +0,0 @@
-/* Pointset_Powerset class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pointset_Powerset_inlines_hh
-#define PPL_Pointset_Powerset_inlines_hh 1
-
-#include "Constraint.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Congruence.defs.hh"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include <algorithm>
-#include <deque>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-inline dimension_type
-Pointset_Powerset<PSET>::space_dimension() const {
- return space_dim;
-}
-
-template <typename PSET>
-inline dimension_type
-Pointset_Powerset<PSET>::max_space_dimension() {
- return PSET::max_space_dimension();
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(dimension_type num_dimensions,
- Degenerate_Element kind)
- : Base(), space_dim(num_dimensions) {
- Pointset_Powerset& x = *this;
- if (kind == UNIVERSE)
- x.sequence.push_back(Determinate<PSET>(PSET(num_dimensions, kind)));
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(const Pointset_Powerset& y,
- Complexity_Class)
- : Base(y), space_dim(y.space_dim) {
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(const C_Polyhedron& ph,
- Complexity_Class complexity)
- : Base(), space_dim(ph.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (complexity == ANY_COMPLEXITY) {
- if (ph.is_empty())
- return;
- }
- else
- x.reduced = false;
- x.sequence.push_back(Determinate<PSET>(PSET(ph, complexity)));
- x.reduced = false;
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(const NNC_Polyhedron& ph,
- Complexity_Class complexity)
- : Base(), space_dim(ph.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (complexity == ANY_COMPLEXITY) {
- if (ph.is_empty())
- return;
- }
- else
- x.reduced = false;
- x.sequence.push_back(Determinate<PSET>(PSET(ph, complexity)));
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(const Grid& gr,
- Complexity_Class)
- : Base(), space_dim(gr.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (!gr.is_empty()) {
- x.sequence.push_back(Determinate<PSET>(PSET(gr)));
- }
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-template <typename QH1, typename QH2, typename R>
-inline
-Pointset_Powerset<PSET>
-::Pointset_Powerset(const Partially_Reduced_Product<QH1, QH2, R>& prp,
- Complexity_Class complexity)
- : Base(), space_dim(prp.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (complexity == ANY_COMPLEXITY) {
- if (prp.is_empty())
- return;
- }
- else
- x.reduced = false;
- x.sequence.push_back(Determinate<PSET>(PSET(prp, complexity)));
- x.reduced = false;
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-template <typename Interval>
-Pointset_Powerset<PSET>::Pointset_Powerset(const Box<Interval>& box,
- Complexity_Class)
- : Base(), space_dim(box.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (!box.is_empty())
- x.sequence.push_back(Determinate<PSET>(PSET(box)));
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-template <typename T>
-Pointset_Powerset<PSET>::Pointset_Powerset(const Octagonal_Shape<T>& os,
- Complexity_Class)
- : Base(), space_dim(os.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (!os.is_empty())
- x.sequence.push_back(Determinate<PSET>(PSET(os)));
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-template <typename T>
-Pointset_Powerset<PSET>::Pointset_Powerset(const BD_Shape<T>& bds,
- Complexity_Class)
- : Base(), space_dim(bds.space_dimension()) {
- Pointset_Powerset& x = *this;
- if (!bds.is_empty())
- x.sequence.push_back(Determinate<PSET>(PSET(bds)));
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(const Constraint_System& cs)
- : Base(Determinate<PSET>(cs)), space_dim(cs.space_dimension()) {
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-inline
-Pointset_Powerset<PSET>::Pointset_Powerset(const Congruence_System& cgs)
- : Base(Determinate<PSET>(cgs)), space_dim(cgs.space_dimension()) {
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename PSET>
-inline Pointset_Powerset<PSET>&
-Pointset_Powerset<PSET>::operator=(const Pointset_Powerset& y) {
- Pointset_Powerset& x = *this;
- x.Base::operator=(y);
- x.space_dim = y.space_dim;
- return x;
-}
-
-template <typename PSET>
-inline void
-Pointset_Powerset<PSET>::m_swap(Pointset_Powerset& y) {
- Pointset_Powerset& x = *this;
- x.Base::m_swap(y);
- using std::swap;
- swap(x.space_dim, y.space_dim);
-}
-
-template <typename PSET>
-template <typename QH>
-inline Pointset_Powerset<PSET>&
-Pointset_Powerset<PSET>::operator=(const Pointset_Powerset<QH>& y) {
- Pointset_Powerset& x = *this;
- Pointset_Powerset<PSET> ps(y);
- swap(x, ps);
- return x;
-}
-
-template <typename PSET>
-inline void
-Pointset_Powerset<PSET>::intersection_assign(const Pointset_Powerset& y) {
- Pointset_Powerset& x = *this;
- x.pairwise_apply_assign
- (y,
- Det_PSET::lift_op_assign(std::mem_fun_ref(&PSET::intersection_assign)));
-}
-
-template <typename PSET>
-inline void
-Pointset_Powerset<PSET>::time_elapse_assign(const Pointset_Powerset& y) {
- Pointset_Powerset& x = *this;
- x.pairwise_apply_assign
- (y,
- Det_PSET::lift_op_assign(std::mem_fun_ref(&PSET::time_elapse_assign)));
-}
-
-template <typename PSET>
-inline bool
-Pointset_Powerset<PSET>
-::geometrically_covers(const Pointset_Powerset& y) const {
- // This code is only used when PSET is an abstraction of NNC_Polyhedron.
- const Pointset_Powerset<NNC_Polyhedron> xx(*this);
- const Pointset_Powerset<NNC_Polyhedron> yy(y);
- return xx.geometrically_covers(yy);
-}
-
-template <typename PSET>
-inline bool
-Pointset_Powerset<PSET>
-::geometrically_equals(const Pointset_Powerset& y) const {
- // This code is only used when PSET is an abstraction of NNC_Polyhedron.
- const Pointset_Powerset<NNC_Polyhedron> xx(*this);
- const Pointset_Powerset<NNC_Polyhedron> yy(y);
- return xx.geometrically_covers(yy) && yy.geometrically_covers(xx);
-}
-
-template <>
-inline bool
-Pointset_Powerset<Grid>
-::geometrically_equals(const Pointset_Powerset& y) const {
- const Pointset_Powerset& x = *this;
- return x.geometrically_covers(y) && y.geometrically_covers(x);
-}
-
-template <>
-inline bool
-Pointset_Powerset<NNC_Polyhedron>
-::geometrically_equals(const Pointset_Powerset& y) const {
- const Pointset_Powerset& x = *this;
- return x.geometrically_covers(y) && y.geometrically_covers(x);
-}
-
-template <typename PSET>
-inline memory_size_type
-Pointset_Powerset<PSET>::external_memory_in_bytes() const {
- return Base::external_memory_in_bytes();
-}
-
-template <typename PSET>
-inline memory_size_type
-Pointset_Powerset<PSET>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-template <typename PSET>
-inline int32_t
-Pointset_Powerset<PSET>::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-template <typename PSET>
-inline void
-Pointset_Powerset<PSET>
-::difference_assign(const Pointset_Powerset& y) {
- // This code is only used when PSET is an abstraction of NNC_Polyhedron.
- Pointset_Powerset<NNC_Polyhedron> nnc_this(*this);
- Pointset_Powerset<NNC_Polyhedron> nnc_y(y);
- nnc_this.difference_assign(nnc_y);
- *this = nnc_this;
-}
-
-/*! \relates Pointset_Powerset */
-template <typename PSET>
-inline bool
-check_containment(const PSET& ph, const Pointset_Powerset<PSET>& ps) {
- // This code is only used when PSET is an abstraction of NNC_Polyhedron.
- const NNC_Polyhedron ph_nnc = NNC_Polyhedron(ph.constraints());
- const Pointset_Powerset<NNC_Polyhedron> ps_nnc(ps);
- return check_containment(ph_nnc, ps_nnc);
-}
-
-/*! \relates Pointset_Powerset */
-template <>
-inline bool
-check_containment(const C_Polyhedron& ph,
- const Pointset_Powerset<C_Polyhedron>& ps) {
- return check_containment(NNC_Polyhedron(ph),
- Pointset_Powerset<NNC_Polyhedron>(ps));
-}
-
-/*! \relates Pointset_Powerset */
-template <typename PSET>
-inline void
-swap(Pointset_Powerset<PSET>& x, Pointset_Powerset<PSET>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pointset_Powerset_inlines_hh)
diff --git a/src/Pointset_Powerset.templates.hh b/src/Pointset_Powerset.templates.hh
deleted file mode 100644
index 469846d..0000000
--- a/src/Pointset_Powerset.templates.hh
+++ /dev/null
@@ -1,1611 +0,0 @@
-/* Pointset_Powerset class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Pointset_Powerset_templates_hh
-#define PPL_Pointset_Powerset_templates_hh 1
-
-#include "Constraint.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include "Variables_Set.defs.hh"
-#include <algorithm>
-#include <deque>
-#include <string>
-#include <iostream>
-#include <sstream>
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_disjunct(const PSET& ph) {
- Pointset_Powerset& x = *this;
- if (x.space_dimension() != ph.space_dimension()) {
- std::ostringstream s;
- s << "PPL::Pointset_Powerset<PSET>::add_disjunct(ph):\n"
- << "this->space_dimension() == " << x.space_dimension() << ", "
- << "ph.space_dimension() == " << ph.space_dimension() << ".";
- throw std::invalid_argument(s.str());
- }
- x.sequence.push_back(Determinate<PSET>(ph));
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <>
-template <typename QH>
-Pointset_Powerset<NNC_Polyhedron>
-::Pointset_Powerset(const Pointset_Powerset<QH>& y,
- Complexity_Class complexity)
- : Base(), space_dim(y.space_dimension()) {
- Pointset_Powerset& x = *this;
- for (typename Pointset_Powerset<QH>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
- x.sequence.push_back(Determinate<NNC_Polyhedron>
- (NNC_Polyhedron(i->pointset(), complexity)));
-
- // FIXME: If the domain elements can be represented _exactly_ as NNC
- // polyhedra, then having x.reduced = y.reduced is correct. This is
- // the case if the domains are both linear and convex which holds
- // for all the currently supported instantiations except for
- // Grids; for this reason the Grid specialization has a
- // separate implementation. For any non-linear or non-convex
- // domains (e.g., a domain of Intervals with restrictions or a
- // domain of circles) that may be supported in the future, the
- // assignment x.reduced = y.reduced will be a bug.
- x.reduced = y.reduced;
-
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-template <typename QH>
-Pointset_Powerset<PSET>
-::Pointset_Powerset(const Pointset_Powerset<QH>& y,
- Complexity_Class complexity)
- : Base(), space_dim(y.space_dimension()) {
- Pointset_Powerset& x = *this;
- for (typename Pointset_Powerset<QH>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
- x.sequence.push_back(Determinate<PSET>(PSET(i->pointset(), complexity)));
- // Note: this might be non-reduced even when `y' is known to be
- // omega-reduced, because the constructor of PSET may have made
- // different QH elements to become comparable.
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::concatenate_assign(const Pointset_Powerset& y) {
- Pointset_Powerset& x = *this;
- // Ensure omega-reduction here, since what follows has quadratic complexity.
- x.omega_reduce();
- y.omega_reduce();
- Pointset_Powerset<PSET> new_x(x.space_dim + y.space_dim, EMPTY);
- for (const_iterator xi = x.begin(), x_end = x.end(),
- y_begin = y.begin(), y_end = y.end(); xi != x_end; ) {
- for (const_iterator yi = y_begin; yi != y_end; ++yi) {
- Det_PSET zi = *xi;
- zi.concatenate_assign(*yi);
- PPL_ASSERT_HEAVY(!zi.is_bottom());
- new_x.sequence.push_back(zi);
- }
- ++xi;
- if ((abandon_expensive_computations != 0)
- && (xi != x_end) && (y_begin != y_end)) {
- // Hurry up!
- PSET x_ph = xi->pointset();
- for (++xi; xi != x_end; ++xi)
- x_ph.upper_bound_assign(xi->pointset());
- const_iterator yi = y_begin;
- PSET y_ph = yi->pointset();
- for (++yi; yi != y_end; ++yi)
- y_ph.upper_bound_assign(yi->pointset());
- x_ph.concatenate_assign(y_ph);
- swap(x, new_x);
- x.add_disjunct(x_ph);
- PPL_ASSERT_HEAVY(x.OK());
- return;
- }
- }
- swap(x, new_x);
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_constraint(const Constraint& c) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().add_constraint(c);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::refine_with_constraint(const Constraint& c) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().refine_with_constraint(c);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_constraints(const Constraint_System& cs) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().add_constraints(cs);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::refine_with_constraints(const Constraint_System& cs) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().refine_with_constraints(cs);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_congruence(const Congruence& cg) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().add_congruence(cg);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::refine_with_congruence(const Congruence& cg) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().refine_with_congruence(cg);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_congruences(const Congruence_System& cgs) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().add_congruences(cgs);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::refine_with_congruences(const Congruence_System& cgs) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().refine_with_congruences(cgs);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::unconstrain(const Variable var) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().unconstrain(var);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::unconstrain(const Variables_Set& vars) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().unconstrain(vars);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_space_dimensions_and_embed(dimension_type m) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().add_space_dimensions_and_embed(m);
- x.space_dim += m;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::add_space_dimensions_and_project(dimension_type m) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().add_space_dimensions_and_project(m);
- x.space_dim += m;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::remove_space_dimensions(const Variables_Set& vars) {
- Pointset_Powerset& x = *this;
- Variables_Set::size_type num_removed = vars.size();
- if (num_removed > 0) {
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().remove_space_dimensions(vars);
- x.reduced = false;
- }
- x.space_dim -= num_removed;
- PPL_ASSERT_HEAVY(x.OK());
- }
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::remove_higher_space_dimensions(dimension_type new_dimension) {
- Pointset_Powerset& x = *this;
- if (new_dimension < x.space_dim) {
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().remove_higher_space_dimensions(new_dimension);
- x.reduced = false;
- }
- x.space_dim = new_dimension;
- PPL_ASSERT_HEAVY(x.OK());
- }
-}
-
-template <typename PSET>
-template <typename Partial_Function>
-void
-Pointset_Powerset<PSET>::map_space_dimensions(const Partial_Function& pfunc) {
- Pointset_Powerset& x = *this;
- if (x.is_bottom()) {
- dimension_type n = 0;
- for (dimension_type i = x.space_dim; i-- > 0; ) {
- dimension_type new_i;
- if (pfunc.maps(i, new_i))
- ++n;
- }
- x.space_dim = n;
- }
- else {
- Sequence_iterator s_begin = x.sequence.begin();
- for (Sequence_iterator si = s_begin,
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().map_space_dimensions(pfunc);
- x.space_dim = s_begin->pointset().space_dimension();
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::expand_space_dimension(Variable var,
- dimension_type m) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().expand_space_dimension(var, m);
- x.space_dim += m;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::fold_space_dimensions(const Variables_Set& vars,
- Variable dest) {
- Pointset_Powerset& x = *this;
- Variables_Set::size_type num_folded = vars.size();
- if (num_folded > 0) {
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().fold_space_dimensions(vars, dest);
- }
- x.space_dim -= num_folded;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().affine_image(var, expr, denominator);
- // Note that the underlying domain can apply conservative approximation:
- // that is why it would not be correct to make the loss of reduction
- // conditional on `var' and `expr'.
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().affine_preimage(var, expr, denominator);
- // Note that the underlying domain can apply conservative approximation:
- // that is why it would not be correct to make the loss of reduction
- // conditional on `var' and `expr'.
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().generalized_affine_image(lhs, relsym, rhs);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().generalized_affine_preimage(lhs, relsym, rhs);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::generalized_affine_image(Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().generalized_affine_image(var, relsym, expr, denominator);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::generalized_affine_preimage(Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference
- denominator) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().generalized_affine_preimage(var, relsym, expr, denominator);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().bounded_affine_image(var, lb_expr, ub_expr, denominator);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- si->pointset().bounded_affine_preimage(var, lb_expr, ub_expr,
- denominator);
- x.reduced = false;
- }
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-dimension_type
-Pointset_Powerset<PSET>::affine_dimension() const {
- // The affine dimension of the powerset is the affine dimension of
- // the smallest vector space in which it can be embedded.
- const Pointset_Powerset& x = *this;
- C_Polyhedron x_ph(space_dim, EMPTY);
-
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- PSET pi(si->pointset());
- if (!pi.is_empty()) {
- C_Polyhedron phi(space_dim);
- const Constraint_System& cs = pi.minimized_constraints();
- for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_equality())
- phi.add_constraint(c);
- }
- x_ph.poly_hull_assign(phi);
- }
- }
-
- return x_ph.affine_dimension();
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::is_universe() const {
- const Pointset_Powerset& x = *this;
- // Exploit omega-reduction, if already computed.
- if (x.is_omega_reduced())
- return x.size() == 1 && x.begin()->pointset().is_universe();
-
- // A powerset is universe iff one of its disjuncts is.
- for (const_iterator x_i = x.begin(), x_end = x.end(); x_i != x_end; ++x_i)
- if (x_i->pointset().is_universe()) {
- // Speculative omega-reduction, if it is worth.
- if (x.size() > 1) {
- Pointset_Powerset<PSET> universe(x.space_dimension(), UNIVERSE);
- Pointset_Powerset& xx = const_cast<Pointset_Powerset&>(x);
- swap(xx, universe);
- }
- return true;
- }
- return false;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::is_empty() const {
- const Pointset_Powerset& x = *this;
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (!si->pointset().is_empty())
- return false;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::is_discrete() const {
- const Pointset_Powerset& x = *this;
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (!si->pointset().is_discrete())
- return false;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::is_topologically_closed() const {
- const Pointset_Powerset& x = *this;
- // The powerset must be omega-reduced before checking
- // topological closure.
- x.omega_reduce();
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (!si->pointset().is_topologically_closed())
- return false;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::is_bounded() const {
- const Pointset_Powerset& x = *this;
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (!si->pointset().is_bounded())
- return false;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::constrains(Variable var) const {
- const Pointset_Powerset& x = *this;
- // `var' should be one of the dimensions of the powerset.
- const dimension_type var_space_dim = var.space_dimension();
- if (x.space_dimension() < var_space_dim) {
- std::ostringstream s;
- s << "PPL::Pointset_Powerset<PSET>::constrains(v):\n"
- << "this->space_dimension() == " << x.space_dimension() << ", "
- << "v.space_dimension() == " << var_space_dim << ".";
- throw std::invalid_argument(s.str());
- }
- // omega_reduction needed, since a redundant disjunct may constrain var.
- x.omega_reduce();
- // An empty powerset constrains all variables.
- if (x.is_empty())
- return true;
- for (const_iterator x_i = x.begin(), x_end = x.end(); x_i != x_end; ++x_i)
- if (x_i->pointset().constrains(var))
- return true;
- return false;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::is_disjoint_from(const Pointset_Powerset& y) const {
- const Pointset_Powerset& x = *this;
- for (Sequence_const_iterator si = x.sequence.begin(),
- x_s_end = x.sequence.end(); si != x_s_end; ++si) {
- const PSET& pi = si->pointset();
- for (Sequence_const_iterator sj = y.sequence.begin(),
- y_s_end = y.sequence.end(); sj != y_s_end; ++sj) {
- const PSET& pj = sj->pointset();
- if (!pi.is_disjoint_from(pj))
- return false;
- }
- }
- return true;
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().drop_some_non_integer_points(vars, complexity);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>
-::drop_some_non_integer_points(Complexity_Class complexity) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().drop_some_non_integer_points(complexity);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::topological_closure_assign() {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().topological_closure_assign();
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>
-::intersection_preserving_enlarge_element(PSET& dest) const {
- // FIXME: this is just an executable specification.
- const Pointset_Powerset& context = *this;
- PPL_ASSERT(context.space_dimension() == dest.space_dimension());
- bool nonempty_intersection = false;
- // TODO: maybe use a *sorted* constraint system?
- PSET enlarged(context.space_dimension(), UNIVERSE);
- for (Sequence_const_iterator si = context.sequence.begin(),
- s_end = context.sequence.end(); si != s_end; ++si) {
- PSET context_i(si->pointset());
- context_i.intersection_assign(enlarged);
- PSET enlarged_i(dest);
- if (enlarged_i.simplify_using_context_assign(context_i))
- nonempty_intersection = true;
- // TODO: merge the sorted constraints of `enlarged' and `enlarged_i'?
- enlarged.intersection_assign(enlarged_i);
- }
- swap(dest, enlarged);
- return nonempty_intersection;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>
-::simplify_using_context_assign(const Pointset_Powerset& y) {
- Pointset_Powerset& x = *this;
-
- // Omega reduction is required.
- // TODO: check whether it would be more efficient to Omega-reduce x
- // during the simplification process: when examining *si, we check
- // if it has been made redundant by any of the elements preceding it
- // (which have been already simplified).
- x.omega_reduce();
- if (x.is_empty())
- return false;
- y.omega_reduce();
- if (y.is_empty()) {
- x = y;
- return false;
- }
-
- if (y.size() == 1) {
- // More efficient, special handling of the singleton context case.
- const PSET& y_i = y.sequence.begin()->pointset();
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ) {
- PSET& x_i = si->pointset();
- if (x_i.simplify_using_context_assign(y_i))
- ++si;
- else
- // Intersection is empty: drop the disjunct.
- si = x.sequence.erase(si);
- }
- }
- else {
- // The context is not a singleton.
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ) {
- if (y.intersection_preserving_enlarge_element(si->pointset()))
- ++si;
- else
- // Intersection with `*si' is empty: drop the disjunct.
- si = x.sequence.erase(si);
- }
- }
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
- return !x.sequence.empty();
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::contains(const Pointset_Powerset& y) const {
- const Pointset_Powerset& x = *this;
- for (Sequence_const_iterator si = y.sequence.begin(),
- y_s_end = y.sequence.end(); si != y_s_end; ++si) {
- const PSET& pi = si->pointset();
- bool pi_is_contained = false;
- for (Sequence_const_iterator sj = x.sequence.begin(),
- x_s_end = x.sequence.end();
- (sj != x_s_end && !pi_is_contained);
- ++sj) {
- const PSET& pj = sj->pointset();
- if (pj.contains(pi))
- pi_is_contained = true;
- }
- if (!pi_is_contained)
- return false;
- }
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::strictly_contains(const Pointset_Powerset& y) const {
- /* omega reduction ensures that a disjunct of y cannot be strictly
- contained in one disjunct and also contained but not strictly
- contained in another disjunct of *this */
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- for (Sequence_const_iterator si = y.sequence.begin(),
- y_s_end = y.sequence.end(); si != y_s_end; ++si) {
- const PSET& pi = si->pointset();
- bool pi_is_strictly_contained = false;
- for (Sequence_const_iterator sj = x.sequence.begin(),
- x_s_end = x.sequence.end();
- (sj != x_s_end && !pi_is_strictly_contained); ++sj) {
- const PSET& pj = sj->pointset();
- if (pj.strictly_contains(pi))
- pi_is_strictly_contained = true;
- }
- if (!pi_is_strictly_contained)
- return false;
- }
- return true;
-}
-
-template <typename PSET>
-Poly_Con_Relation
-Pointset_Powerset<PSET>::relation_with(const Congruence& cg) const {
- const Pointset_Powerset& x = *this;
-
- /* *this is included in cg if every disjunct is included in cg */
- bool is_included = true;
- /* *this is disjoint with cg if every disjunct is disjoint with cg */
- bool is_disjoint = true;
- /* *this strictly_intersects with cg if some disjunct strictly
- intersects with cg */
- bool is_strictly_intersecting = false;
- /* *this saturates cg if some disjunct saturates cg and
- every disjunct is either disjoint from cg or saturates cg */
- bool saturates_once = false;
- bool may_saturate = true;
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- Poly_Con_Relation relation_i = si->pointset().relation_with(cg);
- if (!relation_i.implies(Poly_Con_Relation::is_included()))
- is_included = false;
- if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
- is_disjoint = false;
- if (relation_i.implies(Poly_Con_Relation::strictly_intersects()))
- is_strictly_intersecting = true;
- if (relation_i.implies(Poly_Con_Relation::saturates()))
- saturates_once = true;
- else if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
- may_saturate = false;
- }
-
- Poly_Con_Relation result = Poly_Con_Relation::nothing();
- if (is_included)
- result = result && Poly_Con_Relation::is_included();
- if (is_disjoint)
- result = result && Poly_Con_Relation::is_disjoint();
- if (is_strictly_intersecting)
- result = result && Poly_Con_Relation::strictly_intersects();
- if (saturates_once && may_saturate)
- result = result && Poly_Con_Relation::saturates();
-
- return result;
-}
-
-template <typename PSET>
-Poly_Con_Relation
-Pointset_Powerset<PSET>::relation_with(const Constraint& c) const {
- const Pointset_Powerset& x = *this;
-
- /* *this is included in c if every disjunct is included in c */
- bool is_included = true;
- /* *this is disjoint with c if every disjunct is disjoint with c */
- bool is_disjoint = true;
- /* *this strictly_intersects with c if some disjunct strictly
- intersects with c */
- bool is_strictly_intersecting = false;
- /* *this saturates c if some disjunct saturates c and
- every disjunct is either disjoint from c or saturates c */
- bool saturates_once = false;
- bool may_saturate = true;
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- Poly_Con_Relation relation_i = si->pointset().relation_with(c);
- if (!relation_i.implies(Poly_Con_Relation::is_included()))
- is_included = false;
- if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
- is_disjoint = false;
- if (relation_i.implies(Poly_Con_Relation::strictly_intersects()))
- is_strictly_intersecting = true;
- if (relation_i.implies(Poly_Con_Relation::saturates()))
- saturates_once = true;
- else if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
- may_saturate = false;
- }
-
- Poly_Con_Relation result = Poly_Con_Relation::nothing();
- if (is_included)
- result = result && Poly_Con_Relation::is_included();
- if (is_disjoint)
- result = result && Poly_Con_Relation::is_disjoint();
- if (is_strictly_intersecting)
- result = result && Poly_Con_Relation::strictly_intersects();
- if (saturates_once && may_saturate)
- result = result && Poly_Con_Relation::saturates();
-
- return result;
-}
-
-template <typename PSET>
-Poly_Gen_Relation
-Pointset_Powerset<PSET>::relation_with(const Generator& g) const {
- const Pointset_Powerset& x = *this;
-
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- Poly_Gen_Relation relation_i = si->pointset().relation_with(g);
- if (relation_i.implies(Poly_Gen_Relation::subsumes()))
- return Poly_Gen_Relation::subsumes();
- }
-
- return Poly_Gen_Relation::nothing();
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>
-::bounds_from_above(const Linear_Expression& expr) const {
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (!si->pointset().bounds_from_above(expr))
- return false;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>
-::bounds_from_below(const Linear_Expression& expr) const {
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (!si->pointset().bounds_from_below(expr))
- return false;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n,
- Coefficient& sup_d,
- bool& maximum) const {
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- if (x.is_empty())
- return false;
-
- bool first = true;
-
- PPL_DIRTY_TEMP_COEFFICIENT(best_sup_n);
- PPL_DIRTY_TEMP_COEFFICIENT(best_sup_d);
- best_sup_n = 0;
- best_sup_d = 1;
- bool best_max = false;
-
- PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_n);
- PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_d);
- iter_sup_n = 0;
- iter_sup_d = 1;
- bool iter_max = false;
-
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
-
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- if (!si->pointset().maximize(expr, iter_sup_n, iter_sup_d, iter_max))
- return false;
- else
- if (first) {
- first = false;
- best_sup_n = iter_sup_n;
- best_sup_d = iter_sup_d;
- best_max = iter_max;
- }
- else {
- tmp = (best_sup_n * iter_sup_d) - (iter_sup_n * best_sup_d);
- if (tmp < 0) {
- best_sup_n = iter_sup_n;
- best_sup_d = iter_sup_d;
- best_max = iter_max;
- }
- else if (tmp == 0)
- best_max = (best_max || iter_max);
- }
- }
- sup_n = best_sup_n;
- sup_d = best_sup_d;
- maximum = best_max;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n,
- Coefficient& sup_d,
- bool& maximum,
- Generator& g) const {
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- if (x.is_empty())
- return false;
-
- bool first = true;
-
- PPL_DIRTY_TEMP_COEFFICIENT(best_sup_n);
- PPL_DIRTY_TEMP_COEFFICIENT(best_sup_d);
- best_sup_n = 0;
- best_sup_d = 1;
- bool best_max = false;
- Generator best_g = point();
-
- PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_n);
- PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_d);
- iter_sup_n = 0;
- iter_sup_d = 1;
- bool iter_max = false;
- Generator iter_g = point();
-
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
-
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- if (!si->pointset().maximize(expr,
- iter_sup_n, iter_sup_d, iter_max, iter_g))
- return false;
- else
- if (first) {
- first = false;
- best_sup_n = iter_sup_n;
- best_sup_d = iter_sup_d;
- best_max = iter_max;
- best_g = iter_g;
- }
- else {
- tmp = (best_sup_n * iter_sup_d) - (iter_sup_n * best_sup_d);
- if (tmp < 0) {
- best_sup_n = iter_sup_n;
- best_sup_d = iter_sup_d;
- best_max = iter_max;
- best_g = iter_g;
- }
- else if (tmp == 0) {
- best_max = (best_max || iter_max);
- best_g = iter_g;
- }
- }
- }
- sup_n = best_sup_n;
- sup_d = best_sup_d;
- maximum = best_max;
- g = best_g;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n,
- Coefficient& inf_d,
- bool& minimum) const {
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- if (x.is_empty())
- return false;
-
- bool first = true;
-
- PPL_DIRTY_TEMP_COEFFICIENT(best_inf_n);
- PPL_DIRTY_TEMP_COEFFICIENT(best_inf_d);
- best_inf_n = 0;
- best_inf_d = 1;
- bool best_min = false;
-
- PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_n);
- PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_d);
- iter_inf_n = 0;
- iter_inf_d = 1;
- bool iter_min = false;
-
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
-
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- if (!si->pointset().minimize(expr, iter_inf_n, iter_inf_d, iter_min))
- return false;
- else
- if (first) {
- first = false;
- best_inf_n = iter_inf_n;
- best_inf_d = iter_inf_d;
- best_min = iter_min;
- }
- else {
- tmp = (best_inf_n * iter_inf_d) - (iter_inf_n * best_inf_d);
- if (tmp > 0) {
- best_inf_n = iter_inf_n;
- best_inf_d = iter_inf_d;
- best_min = iter_min;
- }
- else if (tmp == 0)
- best_min = (best_min || iter_min);
- }
- }
- inf_n = best_inf_n;
- inf_d = best_inf_d;
- minimum = best_min;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n,
- Coefficient& inf_d,
- bool& minimum,
- Generator& g) const {
- const Pointset_Powerset& x = *this;
- x.omega_reduce();
- if (x.is_empty())
- return false;
-
- bool first = true;
-
- PPL_DIRTY_TEMP_COEFFICIENT(best_inf_n);
- PPL_DIRTY_TEMP_COEFFICIENT(best_inf_d);
- best_inf_n = 0;
- best_inf_d = 1;
- bool best_min = false;
- Generator best_g = point();
-
- PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_n);
- PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_d);
- iter_inf_n = 0;
- iter_inf_d = 1;
- bool iter_min = false;
- Generator iter_g = point();
-
- PPL_DIRTY_TEMP_COEFFICIENT(tmp);
-
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
- if (!si->pointset().minimize(expr,
- iter_inf_n, iter_inf_d, iter_min, iter_g))
- return false;
- else
- if (first) {
- first = false;
- best_inf_n = iter_inf_n;
- best_inf_d = iter_inf_d;
- best_min = iter_min;
- best_g = iter_g;
- }
- else {
- tmp = (best_inf_n * iter_inf_d) - (iter_inf_n * best_inf_d);
- if (tmp > 0) {
- best_inf_n = iter_inf_n;
- best_inf_d = iter_inf_d;
- best_min = iter_min;
- best_g = iter_g;
- }
- else if (tmp == 0) {
- best_min = (best_min || iter_min);
- best_g = iter_g;
- }
- }
- }
- inf_n = best_inf_n;
- inf_d = best_inf_d;
- minimum = best_min;
- g = best_g;
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::contains_integer_point() const {
- const Pointset_Powerset& x = *this;
- for (Sequence_const_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- if (si->pointset().contains_integer_point())
- return true;
- return false;
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p,
- unsigned complexity_threshold,
- bool wrap_individually) {
- Pointset_Powerset& x = *this;
- for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
- si->pointset().wrap_assign(vars, w, r, o, cs_p,
- complexity_threshold, wrap_individually);
- x.reduced = false;
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::pairwise_reduce() {
- Pointset_Powerset& x = *this;
- // It is wise to omega-reduce before pairwise-reducing.
- x.omega_reduce();
-
- size_type n = x.size();
- size_type deleted;
- do {
- Pointset_Powerset new_x(x.space_dim, EMPTY);
- std::deque<bool> marked(n, false);
- deleted = 0;
- Sequence_iterator s_begin = x.sequence.begin();
- Sequence_iterator s_end = x.sequence.end();
- unsigned si_index = 0;
- for (Sequence_iterator si = s_begin; si != s_end; ++si, ++si_index) {
- if (marked[si_index])
- continue;
- PSET& pi = si->pointset();
- Sequence_const_iterator sj = si;
- unsigned sj_index = si_index;
- for (++sj, ++sj_index; sj != s_end; ++sj, ++sj_index) {
- if (marked[sj_index])
- continue;
- const PSET& pj = sj->pointset();
- if (pi.upper_bound_assign_if_exact(pj)) {
- marked[si_index] = true;
- marked[sj_index] = true;
- new_x.add_non_bottom_disjunct_preserve_reduction(pi);
- ++deleted;
- goto next;
- }
- }
- next:
- ;
- }
- iterator new_x_begin = new_x.begin();
- iterator new_x_end = new_x.end();
- unsigned xi_index = 0;
- for (const_iterator xi = x.begin(),
- x_end = x.end(); xi != x_end; ++xi, ++xi_index)
- if (!marked[xi_index])
- new_x_begin
- = new_x.add_non_bottom_disjunct_preserve_reduction(*xi,
- new_x_begin,
- new_x_end);
- using std::swap;
- swap(x.sequence, new_x.sequence);
- n -= deleted;
- } while (deleted > 0);
- PPL_ASSERT_HEAVY(x.OK());
-}
-
-template <typename PSET>
-template <typename Widening>
-void
-Pointset_Powerset<PSET>::
-BGP99_heuristics_assign(const Pointset_Powerset& y, Widening widen_fun) {
- // `x' is the current iteration value.
- Pointset_Powerset& x = *this;
-
-#ifndef NDEBUG
- {
- // We assume that `y' entails `x'.
- const Pointset_Powerset<PSET> x_copy = x;
- const Pointset_Powerset<PSET> y_copy = y;
- PPL_ASSERT_HEAVY(y_copy.definitely_entails(x_copy));
- }
-#endif
-
- size_type n = x.size();
- Pointset_Powerset new_x(x.space_dim, EMPTY);
- std::deque<bool> marked(n, false);
- const_iterator x_begin = x.begin();
- const_iterator x_end = x.end();
- unsigned i_index = 0;
- for (const_iterator i = x_begin,
- y_begin = y.begin(), y_end = y.end(); i != x_end; ++i, ++i_index)
- for (const_iterator j = y_begin; j != y_end; ++j) {
- const PSET& pi = i->pointset();
- const PSET& pj = j->pointset();
- if (pi.contains(pj)) {
- PSET pi_copy = pi;
- widen_fun(pi_copy, pj);
- new_x.add_non_bottom_disjunct_preserve_reduction(pi_copy);
- marked[i_index] = true;
- }
- }
- iterator new_x_begin = new_x.begin();
- iterator new_x_end = new_x.end();
- i_index = 0;
- for (const_iterator i = x_begin; i != x_end; ++i, ++i_index)
- if (!marked[i_index])
- new_x_begin
- = new_x.add_non_bottom_disjunct_preserve_reduction(*i,
- new_x_begin,
- new_x_end);
- using std::swap;
- swap(x.sequence, new_x.sequence);
- PPL_ASSERT_HEAVY(x.OK());
- PPL_ASSERT(x.is_omega_reduced());
-}
-
-template <typename PSET>
-template <typename Widening>
-void
-Pointset_Powerset<PSET>::
-BGP99_extrapolation_assign(const Pointset_Powerset& y,
- Widening widen_fun,
- unsigned max_disjuncts) {
- // `x' is the current iteration value.
- Pointset_Powerset& x = *this;
-
-#ifndef NDEBUG
- {
- // We assume that `y' entails `x'.
- const Pointset_Powerset<PSET> x_copy = x;
- const Pointset_Powerset<PSET> y_copy = y;
- PPL_ASSERT_HEAVY(y_copy.definitely_entails(x_copy));
- }
-#endif
-
- x.pairwise_reduce();
- if (max_disjuncts != 0)
- x.collapse(max_disjuncts);
- x.BGP99_heuristics_assign(y, widen_fun);
-}
-
-template <typename PSET>
-template <typename Cert>
-void
-Pointset_Powerset<PSET>::
-collect_certificates(std::map<Cert, size_type,
- typename Cert::Compare>& cert_ms) const {
- const Pointset_Powerset& x = *this;
- PPL_ASSERT(x.is_omega_reduced());
- PPL_ASSERT(cert_ms.size() == 0);
- for (const_iterator i = x.begin(), end = x.end(); i != end; ++i) {
- Cert ph_cert(i->pointset());
- ++cert_ms[ph_cert];
- }
-}
-
-template <typename PSET>
-template <typename Cert>
-bool
-Pointset_Powerset<PSET>::
-is_cert_multiset_stabilizing(const std::map<Cert, size_type,
- typename Cert::Compare>& y_cert_ms) const {
- typedef std::map<Cert, size_type, typename Cert::Compare> Cert_Multiset;
- Cert_Multiset x_cert_ms;
- collect_certificates(x_cert_ms);
- typename Cert_Multiset::const_iterator
- xi = x_cert_ms.begin(),
- x_cert_ms_end = x_cert_ms.end(),
- yi = y_cert_ms.begin(),
- y_cert_ms_end = y_cert_ms.end();
- while (xi != x_cert_ms_end && yi != y_cert_ms_end) {
- const Cert& xi_cert = xi->first;
- const Cert& yi_cert = yi->first;
- switch (xi_cert.compare(yi_cert)) {
- case 0:
- // xi_cert == yi_cert: check the number of multiset occurrences.
- {
- const size_type& xi_count = xi->second;
- const size_type& yi_count = yi->second;
- if (xi_count == yi_count) {
- // Same number of occurrences: compare the next pair.
- ++xi;
- ++yi;
- }
- else
- // Different number of occurrences: can decide ordering.
- return xi_count < yi_count;
- break;
- }
- case 1:
- // xi_cert > yi_cert: it is not stabilizing.
- return false;
-
- case -1:
- // xi_cert < yi_cert: it is stabilizing.
- return true;
- }
- }
- // Here xi == x_cert_ms_end or yi == y_cert_ms_end.
- // Stabilization is achieved if `y_cert_ms' still has other elements.
- return yi != y_cert_ms_end;
-}
-
-template <typename PSET>
-template <typename Cert, typename Widening>
-void
-Pointset_Powerset<PSET>::BHZ03_widening_assign(const Pointset_Powerset& y,
- Widening widen_fun) {
- // `x' is the current iteration value.
- Pointset_Powerset& x = *this;
-
-#ifndef NDEBUG
- {
- // We assume that `y' entails `x'.
- const Pointset_Powerset<PSET> x_copy = x;
- const Pointset_Powerset<PSET> y_copy = y;
- PPL_ASSERT_HEAVY(y_copy.definitely_entails(x_copy));
- }
-#endif
-
- // First widening technique: do nothing.
-
- // If `y' is the empty collection, do nothing.
- PPL_ASSERT(x.size() > 0);
- if (y.size() == 0)
- return;
-
- // Compute the poly-hull of `x'.
- PSET x_hull(x.space_dim, EMPTY);
- for (const_iterator i = x.begin(), x_end = x.end(); i != x_end; ++i)
- x_hull.upper_bound_assign(i->pointset());
-
- // Compute the poly-hull of `y'.
- PSET y_hull(y.space_dim, EMPTY);
- for (const_iterator i = y.begin(), y_end = y.end(); i != y_end; ++i)
- y_hull.upper_bound_assign(i->pointset());
- // Compute the certificate for `y_hull'.
- const Cert y_hull_cert(y_hull);
-
- // If the hull is stabilizing, do nothing.
- int hull_stabilization = y_hull_cert.compare(x_hull);
- if (hull_stabilization == 1)
- return;
-
- // Multiset ordering is only useful when `y' is not a singleton.
- const bool y_is_not_a_singleton = y.size() > 1;
-
- // The multiset certificate for `y':
- // we want to be lazy about its computation.
- typedef std::map<Cert, size_type, typename Cert::Compare> Cert_Multiset;
- Cert_Multiset y_cert_ms;
- bool y_cert_ms_computed = false;
-
- if (hull_stabilization == 0 && y_is_not_a_singleton) {
- // Collect the multiset certificate for `y'.
- y.collect_certificates(y_cert_ms);
- y_cert_ms_computed = true;
- // If multiset ordering is stabilizing, do nothing.
- if (x.is_cert_multiset_stabilizing(y_cert_ms))
- return;
- }
-
- // Second widening technique: try the BGP99 powerset heuristics.
- Pointset_Powerset<PSET> bgp99_heuristics = x;
- bgp99_heuristics.BGP99_heuristics_assign(y, widen_fun);
-
- // Compute the poly-hull of `bgp99_heuristics'.
- PSET bgp99_heuristics_hull(x.space_dim, EMPTY);
- for (const_iterator i = bgp99_heuristics.begin(),
- b_h_end = bgp99_heuristics.end(); i != b_h_end; ++i)
- bgp99_heuristics_hull.upper_bound_assign(i->pointset());
-
- // Check for stabilization and, if successful,
- // commit to the result of the extrapolation.
- hull_stabilization = y_hull_cert.compare(bgp99_heuristics_hull);
- if (hull_stabilization == 1) {
- // The poly-hull is stabilizing.
- swap(x, bgp99_heuristics);
- return;
- }
- else if (hull_stabilization == 0 && y_is_not_a_singleton) {
- // If not already done, compute multiset certificate for `y'.
- if (!y_cert_ms_computed) {
- y.collect_certificates(y_cert_ms);
- y_cert_ms_computed = true;
- }
- if (bgp99_heuristics.is_cert_multiset_stabilizing(y_cert_ms)) {
- swap(x, bgp99_heuristics);
- return;
- }
- // Third widening technique: pairwise-reduction on `bgp99_heuristics'.
- // Note that pairwise-reduction does not affect the computation
- // of the poly-hulls, so that we only have to check the multiset
- // certificate relation.
- Pointset_Powerset<PSET> reduced_bgp99_heuristics(bgp99_heuristics);
- reduced_bgp99_heuristics.pairwise_reduce();
- if (reduced_bgp99_heuristics.is_cert_multiset_stabilizing(y_cert_ms)) {
- swap(x, reduced_bgp99_heuristics);
- return;
- }
- }
-
- // Fourth widening technique: this is applicable only when
- // `y_hull' is a proper subset of `bgp99_heuristics_hull'.
- if (bgp99_heuristics_hull.strictly_contains(y_hull)) {
- // Compute (y_hull \widen bgp99_heuristics_hull).
- PSET ph = bgp99_heuristics_hull;
- widen_fun(ph, y_hull);
- // Compute the difference between `ph' and `bgp99_heuristics_hull'.
- ph.difference_assign(bgp99_heuristics_hull);
- x.add_disjunct(ph);
- return;
- }
-
- // Fall back to the computation of the poly-hull.
- Pointset_Powerset<PSET> x_hull_singleton(x.space_dim, EMPTY);
- x_hull_singleton.add_disjunct(x_hull);
- swap(x, x_hull_singleton);
-}
-
-template <typename PSET>
-void
-Pointset_Powerset<PSET>::ascii_dump(std::ostream& s) const {
- const Pointset_Powerset& x = *this;
- s << "size " << x.size()
- << "\nspace_dim " << x.space_dim
- << "\n";
- for (const_iterator xi = x.begin(), x_end = x.end(); xi != x_end; ++xi)
- xi->pointset().ascii_dump(s);
-}
-
-PPL_OUTPUT_TEMPLATE_DEFINITIONS(PSET, Pointset_Powerset<PSET>)
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::ascii_load(std::istream& s) {
- Pointset_Powerset& x = *this;
- std::string str;
-
- if (!(s >> str) || str != "size")
- return false;
-
- size_type sz;
-
- if (!(s >> sz))
- return false;
-
- if (!(s >> str) || str != "space_dim")
- return false;
-
- if (!(s >> x.space_dim))
- return false;
-
- Pointset_Powerset new_x(x.space_dim, EMPTY);
- while (sz-- > 0) {
- PSET ph;
- if (!ph.ascii_load(s))
- return false;
- new_x.add_disjunct(ph);
- }
- swap(x, new_x);
-
- // Check invariants.
- PPL_ASSERT_HEAVY(x.OK());
- return true;
-}
-
-template <typename PSET>
-bool
-Pointset_Powerset<PSET>::OK() const {
- const Pointset_Powerset& x = *this;
- for (const_iterator xi = x.begin(), x_end = x.end(); xi != x_end; ++xi) {
- const PSET& pi = xi->pointset();
- if (pi.space_dimension() != x.space_dim) {
-#ifndef NDEBUG
- std::cerr << "Space dimension mismatch: is " << pi.space_dimension()
- << " in an element of the sequence,\nshould be "
- << x.space_dim << "."
- << std::endl;
-#endif
- return false;
- }
- }
- return x.Base::OK();
-}
-
-namespace Implementation {
-
-namespace Pointset_Powersets {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Partitions polyhedron \p pset according to constraint \p c.
-/*! \relates Parma_Polyhedra_Library::Pointset_Powerset
- On exit, the intersection of \p pset and constraint \p c is stored
- in \p pset, whereas the intersection of \p pset with the negation of \p c
- is added as a new disjunct of the powerset \p r.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename PSET>
-void
-linear_partition_aux(const Constraint& c,
- PSET& pset,
- Pointset_Powerset<NNC_Polyhedron>& r) {
- Linear_Expression le(c);
- const Constraint& neg_c = c.is_strict_inequality() ? (le <= 0) : (le < 0);
- NNC_Polyhedron nnc_ph_pset(pset);
- nnc_ph_pset.add_constraint(neg_c);
- if (!nnc_ph_pset.is_empty())
- r.add_disjunct(nnc_ph_pset);
- pset.add_constraint(c);
-}
-
-} // namespace Pointset_Powersets
-
-} // namespace Implementation
-
-
-/*! \relates Pointset_Powerset */
-template <typename PSET>
-std::pair<PSET, Pointset_Powerset<NNC_Polyhedron> >
-linear_partition(const PSET& p, const PSET& q) {
- using Implementation::Pointset_Powersets::linear_partition_aux;
-
- Pointset_Powerset<NNC_Polyhedron> r(p.space_dimension(), EMPTY);
- PSET pset = q;
- const Constraint_System& p_constraints = p.constraints();
- for (Constraint_System::const_iterator i = p_constraints.begin(),
- p_constraints_end = p_constraints.end();
- i != p_constraints_end;
- ++i) {
- const Constraint& c = *i;
- if (c.is_equality()) {
- Linear_Expression le(c);
- linear_partition_aux(le <= 0, pset, r);
- linear_partition_aux(le >= 0, pset, r);
- }
- else
- linear_partition_aux(c, pset, r);
- }
- return std::make_pair(pset, r);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pointset_Powerset_templates_hh)
diff --git a/src/Pointset_Powerset.types.hh b/src/Pointset_Powerset.types.hh
deleted file mode 100644
index 637a52a..0000000
--- a/src/Pointset_Powerset.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Pointset_Powerset_types_hh
-#define PPL_Pointset_Powerset_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-class Pointset_Powerset;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Pointset_Powerset_types_hh)
diff --git a/src/Pointset_Powerset_defs.hh b/src/Pointset_Powerset_defs.hh
new file mode 100644
index 0000000..7d33bf8
--- /dev/null
+++ b/src/Pointset_Powerset_defs.hh
@@ -0,0 +1,1449 @@
+/* Pointset_Powerset class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pointset_Powerset_defs_hh
+#define PPL_Pointset_Powerset_defs_hh
+
+#include "Pointset_Powerset_types.hh"
+#include "globals_defs.hh"
+#include "BHRZ03_Certificate_types.hh"
+#include "Constraint_types.hh"
+#include "Constraint_System_types.hh"
+#include "Congruence_types.hh"
+#include "Congruence_System_types.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Polyhedron_defs.hh"
+#include "Grid_defs.hh"
+#include "Partially_Reduced_Product_defs.hh"
+#include "Variables_Set_types.hh"
+#include "Determinate_defs.hh"
+#include "Powerset_defs.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include <iosfwd>
+#include <list>
+#include <map>
+
+//! The powerset construction instantiated on PPL pointset domains.
+/*! \ingroup PPL_CXX_interface
+ \warning
+ At present, the supported instantiations for the
+ disjunct domain template \p PSET are the simple pointset domains:
+ <CODE>C_Polyhedron</CODE>,
+ <CODE>NNC_Polyhedron</CODE>,
+ <CODE>Grid</CODE>,
+ <CODE>Octagonal_Shape\<T\></CODE>,
+ <CODE>BD_Shape\<T\></CODE>,
+ <CODE>Box\<T\></CODE>.
+*/
+template <typename PSET>
+class Parma_Polyhedra_Library::Pointset_Powerset
+ : public Parma_Polyhedra_Library::Powerset
+<Parma_Polyhedra_Library::Determinate<PSET> > {
+public:
+ typedef PSET element_type;
+
+private:
+ typedef Determinate<PSET> Det_PSET;
+ typedef Powerset<Det_PSET> Base;
+
+public:
+ //! Returns the maximum space dimension a Pointset_Powerset<PSET> can handle.
+ static dimension_type max_space_dimension();
+
+ //! \name Constructors
+ //@{
+
+ //! Builds a universe (top) or empty (bottom) Pointset_Powerset.
+ /*!
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the powerset;
+
+ \param kind
+ Specifies whether the universe or the empty powerset has to be built.
+ */
+ explicit
+ Pointset_Powerset(dimension_type num_dimensions = 0,
+ Degenerate_Element kind = UNIVERSE);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ Pointset_Powerset(const Pointset_Powerset& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ Conversion constructor: the type <CODE>QH</CODE> of the disjuncts
+ in the source powerset is different from <CODE>PSET</CODE>.
+
+ \param y
+ The powerset to be used to build the new powerset.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+ */
+ template <typename QH>
+ explicit Pointset_Powerset(const Pointset_Powerset<QH>& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ Creates a Pointset_Powerset from a product
+ This will be created as a single disjunct of type PSET that
+ approximates the product.
+ */
+ template <typename QH1, typename QH2, typename R>
+ explicit
+ Pointset_Powerset(const Partially_Reduced_Product<QH1, QH2, R>& prp,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ Creates a Pointset_Powerset with a single disjunct approximating
+ the system of constraints \p cs.
+ */
+ explicit Pointset_Powerset(const Constraint_System& cs);
+
+ /*! \brief
+ Creates a Pointset_Powerset with a single disjunct approximating
+ the system of congruences \p cgs.
+ */
+ explicit Pointset_Powerset(const Congruence_System& cgs);
+
+
+ //! Builds a pointset_powerset out of a closed polyhedron.
+ /*!
+ Builds a powerset that is either empty (if the polyhedron is found
+ to be empty) or contains a single disjunct approximating the
+ polyhedron; this must only use algorithms that do not exceed the
+ specified complexity. The powerset inherits the space dimension
+ of the polyhedron.
+
+ \param ph
+ The closed polyhedron to be used to build the powerset.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p ph exceeds the maximum
+ allowed space dimension.
+ */
+ explicit Pointset_Powerset(const C_Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a pointset_powerset out of an nnc polyhedron.
+ /*!
+ Builds a powerset that is either empty (if the polyhedron is found
+ to be empty) or contains a single disjunct approximating the
+ polyhedron; this must only use algorithms that do not exceed the
+ specified complexity. The powerset inherits the space dimension
+ of the polyhedron.
+
+ \param ph
+ The closed polyhedron to be used to build the powerset.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p ph exceeds the maximum
+ allowed space dimension.
+ */
+ explicit Pointset_Powerset(const NNC_Polyhedron& ph,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+
+ //! Builds a pointset_powerset out of a grid.
+ /*!
+ If the grid is nonempty, builds a powerset containing a single
+ disjunct approximating the grid. Builds the empty powerset
+ otherwise. The powerset inherits the space dimension of the grid.
+
+ \param gr
+ The grid to be used to build the powerset.
+
+ \param complexity
+ This argument is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p gr exceeds the maximum
+ allowed space dimension.
+ */
+ explicit Pointset_Powerset(const Grid& gr,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a pointset_powerset out of an octagonal shape.
+ /*!
+ If the octagonal shape is nonempty, builds a powerset
+ containing a single disjunct approximating the octagonal
+ shape. Builds the empty powerset otherwise. The powerset
+ inherits the space dimension of the octagonal shape.
+
+ \param os
+ The octagonal shape to be used to build the powerset.
+
+ \param complexity
+ This argument is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p os exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename T>
+ explicit Pointset_Powerset(const Octagonal_Shape<T>& os,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a pointset_powerset out of a bd shape.
+ /*!
+ If the bd shape is nonempty, builds a powerset containing a
+ single disjunct approximating the bd shape. Builds the empty
+ powerset otherwise. The powerset inherits the space dimension
+ of the bd shape.
+
+ \param bds
+ The bd shape to be used to build the powerset.
+
+ \param complexity
+ This argument is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p bds exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename T>
+ explicit Pointset_Powerset(const BD_Shape<T>& bds,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a pointset_powerset out of a box.
+ /*!
+ If the box is nonempty, builds a powerset containing a single
+ disjunct approximating the box. Builds the empty powerset
+ otherwise. The powerset inherits the space dimension of the box.
+
+ \param box
+ The box to be used to build the powerset.
+
+ \param complexity
+ This argument is ignored.
+
+ \exception std::length_error
+ Thrown if the space dimension of \p box exceeds the maximum
+ allowed space dimension.
+ */
+ template <typename Interval>
+ explicit Pointset_Powerset(const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //@} // Constructors and Destructor
+
+ //! \name Member Functions that Do Not Modify the Pointset_Powerset
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type affine_dimension() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is
+ an empty powerset.
+ */
+ bool is_empty() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is the top element of the powerset lattice.
+ */
+ bool is_universe() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the disjuncts
+ in \p *this are topologically closed.
+ */
+ bool is_topologically_closed() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all elements in \p *this
+ are bounded.
+ */
+ bool is_bounded() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool is_disjoint_from(const Pointset_Powerset& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
+ bool is_discrete() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+
+ \note
+ A variable is constrained if there exists a non-redundant disjunct
+ that is constraining the variable: this definition relies on the
+ powerset lattice structure and may be somewhat different from the
+ geometric intuition.
+ For instance, variable \f$x\f$ is constrained in the powerset
+ \f[
+ \mathit{ps} = \bigl\{ \{ x \geq 0 \}, \{ x \leq 0 \} \bigr\},
+ \f]
+ even though \f$\mathit{ps}\f$ is geometrically equal to the
+ whole vector space.
+ */
+ bool constrains(Variable var) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from above in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from below in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d
+ and \p maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value;
+
+ \param g
+ When maximization succeeds, will be assigned the point or
+ closure point where \p expr reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p g are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value;
+
+ \param g
+ When minimization succeeds, will be assigned a point or
+ closure point where \p expr reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p g are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this geometrically
+ covers \p y, i.e., if any point (in some element) of \p y is also
+ a point (of some element) of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \warning
+ This may be <EM>really</EM> expensive!
+ */
+ bool geometrically_covers(const Pointset_Powerset& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is geometrically
+ equal to \p y, i.e., if (the elements of) \p *this and \p y
+ contain the same set of points.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \warning
+ This may be <EM>really</EM> expensive!
+ */
+ bool geometrically_equals(const Pointset_Powerset& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if each disjunct
+ of \p y is contained in a disjunct of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool contains(const Pointset_Powerset& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if each disjunct
+ of \p y is strictly contained in a disjunct of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool strictly_contains(const Pointset_Powerset& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains at least one integer point.
+ */
+ bool contains_integer_point() const;
+
+ /*! \brief
+ Returns the relations holding between the powerset \p *this
+ and the constraint \p c.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ /*! \brief
+ Returns the relations holding between the powerset \p *this
+ and the generator \p g.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ Poly_Gen_Relation relation_with(const Generator& g) const;
+
+ /*! \brief
+ Returns the relations holding between the powerset \p *this
+ and the congruence \p c.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a lower bound to the size in bytes of the memory
+ managed by \p *this.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If \p x and \p y are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //@} // Member Functions that Do Not Modify the Pointset_Powerset
+
+ //! \name Space Dimension Preserving Member Functions that May Modify the Pointset_Powerset
+ //@{
+
+ //! Adds to \p *this the disjunct \p ph.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p ph are dimension-incompatible.
+ */
+ void add_disjunct(const PSET& ph);
+
+ //! Intersects \p *this with constraint \p c.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are topology-incompatible
+ or dimension-incompatible.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Use the constraint \p c to refine \p *this.
+
+ \param c
+ The constraint to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ //! Intersects \p *this with the constraints in \p cs.
+ /*!
+ \param cs
+ The constraints to intersect with.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Use the constraints in \p cs to refine \p *this.
+
+ \param cs
+ The constraints to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ //! Intersects \p *this with congruence \p cg.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are topology-incompatible
+ or dimension-incompatible.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Use the congruence \p cg to refine \p *this.
+
+ \param cg
+ The congruence to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ //! Intersects \p *this with the congruences in \p cgs.
+ /*!
+ \param cgs
+ The congruences to intersect with.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Use the congruences in \p cgs to refine \p *this.
+
+ \param cgs
+ The congruences to be used for refinement.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ //! Assigns to \p *this the intersection of \p *this and \p y.
+ /*!
+ The result is obtained by intersecting each disjunct in \p *this
+ with each disjunct in \p y and collecting all these intersections.
+ */
+ void intersection_assign(const Pointset_Powerset& y);
+
+ /*! \brief
+ Assigns to \p *this an (a smallest)
+ over-approximation as a powerset of the disjunct domain of the
+ set-theoretical difference of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ void difference_assign(const Pointset_Powerset& y);
+
+ /*! \brief
+ Assigns to \p *this a \ref Powerset_Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+ If \c false is returned, then the intersection is empty.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool simplify_using_context_assign(const Pointset_Powerset& y);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine image"
+ of \p *this under the function mapping variable \p var to the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of
+ \p *this.
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine preimage"
+ of \p *this under the function mapping variable \p var to the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of
+ \p *this.
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void
+ generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*!
+ \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*!
+ \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
+
+ The result is obtained by computing the pairwise
+ \ref Time_Elapse_Operator "time elapse" of each disjunct
+ in \p *this with each disjunct in \p y.
+ */
+ void time_elapse_assign(const Pointset_Powerset& y);
+
+ /*! \brief
+ \ref Wrapping_Operator "Wraps" the specified dimensions of the
+ vector space.
+
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be wrapped.
+
+ \param w
+ The width of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param r
+ The representation of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param o
+ The overflow behavior of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param cs_p
+ Possibly null pointer to a constraint system whose variables
+ are contained in \p vars. If <CODE>*cs_p</CODE> depends on
+ variables not in \p vars, the behavior is undefined.
+ When non-null, the pointed-to constraint system is assumed to
+ represent the conditional or looping construct guard with respect
+ to which wrapping is performed. Since wrapping requires the
+ computation of upper bounds and due to non-distributivity of
+ constraint refinement over upper bounds, passing a constraint
+ system in this way can be more precise than refining the result of
+ the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
+
+ \param complexity_threshold
+ A precision parameter of the \ref Wrapping_Operator "wrapping operator":
+ higher values result in possibly improved precision.
+
+ \param wrap_individually
+ <CODE>true</CODE> if the dimensions should be wrapped individually
+ (something that results in much greater efficiency to the detriment of
+ precision).
+
+ \exception std::invalid_argument
+ Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
+ \p vars, or if \p *this is dimension-incompatible \p vars or with
+ <CODE>*cs_p</CODE>.
+ */
+ void wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p = 0,
+ unsigned complexity_threshold = 16,
+ bool wrap_individually = true);
+
+ /*! \brief
+ Assign to \p *this the result of (recursively) merging together
+ the pairs of disjuncts whose upper-bound is the same as their
+ set-theoretical union.
+
+ On exit, for all the pairs \f$\cP\f$, \f$\cQ\f$ of different disjuncts
+ in \p *this, we have \f$\cP \uplus \cQ \neq \cP \union \cQ\f$.
+ */
+ void pairwise_reduce();
+
+ /*! \brief
+ Assigns to \p *this the result of applying the
+ \ref pps_bgp99_extrapolation "BGP99 extrapolation operator"
+ to \p *this and \p y, using the widening function \p widen_fun
+ and the cardinality threshold \p max_disjuncts.
+
+ \param y
+ A powerset that <EM>must</EM> definitely entail \p *this;
+
+ \param widen_fun
+ The widening function to be used on polyhedra objects. It is obtained
+ from the corresponding widening method by using the helper function
+ Parma_Polyhedra_Library::widen_fun_ref. Legal values are, e.g.,
+ <CODE>widen_fun_ref(&Polyhedron::H79_widening_assign)</CODE> and
+ <CODE>widen_fun_ref(&Polyhedron::limited_H79_extrapolation_assign, cs)</CODE>;
+
+ \param max_disjuncts
+ The maximum number of disjuncts occurring in the powerset \p *this
+ <EM>before</EM> starting the computation. If this number is exceeded,
+ some of the disjuncts in \p *this are collapsed (i.e., joined together).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ For a description of the extrapolation operator,
+ see \ref BGP99 "[BGP99]" and \ref BHZ03b "[BHZ03b]".
+ */
+ template <typename Widening>
+ void BGP99_extrapolation_assign(const Pointset_Powerset& y,
+ Widening widen_fun,
+ unsigned max_disjuncts);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref pps_certificate_widening "BHZ03-widening"
+ between \p *this and \p y, using the widening function \p widen_fun
+ certified by the convergence certificate \p Cert.
+
+ \param y
+ The finite powerset computed in the previous iteration step.
+ It <EM>must</EM> definitely entail \p *this;
+
+ \param widen_fun
+ The widening function to be used on disjuncts.
+ It is obtained from the corresponding widening method by using
+ the helper function widen_fun_ref. Legal values are, e.g.,
+ <CODE>widen_fun_ref(&Polyhedron::H79_widening_assign)</CODE> and
+ <CODE>widen_fun_ref(&Polyhedron::limited_H79_extrapolation_assign, cs)</CODE>.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+
+ \warning
+ In order to obtain a proper widening operator, the template parameter
+ \p Cert should be a finite convergence certificate for the base-level
+ widening function \p widen_fun; otherwise, an extrapolation operator is
+ obtained.
+ For a description of the methods that should be provided
+ by \p Cert, see BHRZ03_Certificate or H79_Certificate.
+ */
+ template <typename Cert, typename Widening>
+ void BHZ03_widening_assign(const Pointset_Powerset& y, Widening widen_fun);
+
+ //@} // Space Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ /*! \brief
+ The assignment operator
+ (\p *this and \p y can be dimension-incompatible).
+ */
+ Pointset_Powerset& operator=(const Pointset_Powerset& y);
+
+ /*! \brief
+ Conversion assignment: the type <CODE>QH</CODE> of the disjuncts
+ in the source powerset is different from <CODE>PSET</CODE>
+ (\p *this and \p y can be dimension-incompatible).
+ */
+ template <typename QH>
+ Pointset_Powerset& operator=(const Pointset_Powerset<QH>& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Pointset_Powerset& y);
+
+ /*! \brief
+ Adds \p m new dimensions to the vector space containing \p *this
+ and embeds each disjunct in \p *this in the new space.
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Adds \p m new dimensions to the vector space containing \p *this
+ without embedding the disjuncts in \p *this in the new space.
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ //! Assigns to \p *this the concatenation of \p *this and \p y.
+ /*!
+ The result is obtained by computing the pairwise
+ \ref Concatenating_Polyhedra "concatenation" of each disjunct
+ in \p *this with each disjunct in \p y.
+ */
+ void concatenate_assign(const Pointset_Powerset& y);
+
+ //! Removes all the specified space dimensions.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher space dimensions so that the resulting space
+ will have dimension \p new_dimension.
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimensions is greater than the space dimension
+ of \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a partial function.
+
+ See also Polyhedron::map_space_dimensions.
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector
+ space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the vector
+ space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref Expanding_One_Dimension_of_the_Vector_Space_to_Multiple_Dimensions
+ "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars. Also
+ thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are
+ \ref Folding_Multiple_Dimensions_of_the_Vector_Space_into_One_Dimension
+ "folded" into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+public:
+ typedef typename Base::size_type size_type;
+ typedef typename Base::value_type value_type;
+ typedef typename Base::iterator iterator;
+ typedef typename Base::const_iterator const_iterator;
+ typedef typename Base::reverse_iterator reverse_iterator;
+ typedef typename Base::const_reverse_iterator const_reverse_iterator;
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+private:
+ typedef typename Base::Sequence Sequence;
+ typedef typename Base::Sequence_iterator Sequence_iterator;
+ typedef typename Base::Sequence_const_iterator Sequence_const_iterator;
+
+ //! The number of dimensions of the enclosing vector space.
+ dimension_type space_dim;
+
+ /*! \brief
+ Assigns to \p dest a \ref Powerset_Meet_Preserving_Simplification
+ "powerset meet-preserving enlargement" of itself with respect to
+ \p *this. If \c false is returned, then the intersection is empty.
+
+ \note
+ It is assumed that \p *this and \p dest are topology-compatible
+ and dimension-compatible.
+ */
+ bool intersection_preserving_enlarge_element(PSET& dest) const;
+
+ /*! \brief
+ Assigns to \p *this the result of applying the BGP99 heuristics
+ to \p *this and \p y, using the widening function \p widen_fun.
+ */
+ template <typename Widening>
+ void BGP99_heuristics_assign(const Pointset_Powerset& y, Widening widen_fun);
+
+ //! Records in \p cert_ms the certificates for this set of disjuncts.
+ template <typename Cert>
+ void collect_certificates(std::map<Cert, size_type,
+ typename Cert::Compare>& cert_ms) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the current set of disjuncts
+ is stabilizing with respect to the multiset of certificates \p y_cert_ms.
+ */
+ template <typename Cert>
+ bool is_cert_multiset_stabilizing(const std::map<Cert, size_type,
+ typename Cert::Compare>&
+ y_cert_ms) const;
+
+ // FIXME: here it should be enough to befriend the template constructor
+ // template <typename QH>
+ // Pointset_Powerset(const Pointset_Powerset<QH>&),
+ // but, apparently, this cannot be done.
+ friend class Pointset_Powerset<NNC_Polyhedron>;
+};
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Pointset_Powerset */
+template <typename PSET>
+void swap(Pointset_Powerset<PSET>& x, Pointset_Powerset<PSET>& y);
+
+//! Partitions \p q with respect to \p p.
+/*! \relates Pointset_Powerset
+ Let \p p and \p q be two polyhedra.
+ The function returns an object <CODE>r</CODE> of type
+ <CODE>std::pair\<PSET, Pointset_Powerset\<NNC_Polyhedron\> \></CODE>
+ such that
+ - <CODE>r.first</CODE> is the intersection of \p p and \p q;
+ - <CODE>r.second</CODE> has the property that all its elements are
+ pairwise disjoint and disjoint from \p p;
+ - the set-theoretical union of <CODE>r.first</CODE> with all the
+ elements of <CODE>r.second</CODE> gives \p q (i.e., <CODE>r</CODE>
+ is the representation of a partition of \p q).
+
+ \if Include_Implementation_Details
+
+ See
+ <A HREF="http://bugseng.com/products/ppl/Documentation/bibliography#Srivastava93">
+ this paper</A> for more information about the implementation.
+ \endif
+*/
+template <typename PSET>
+std::pair<PSET, Pointset_Powerset<NNC_Polyhedron> >
+linear_partition(const PSET& p, const PSET& q);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if the union of
+ the NNC polyhedra in \p ps contains the NNC polyhedron \p ph.
+
+ \relates Pointset_Powerset
+*/
+bool
+check_containment(const NNC_Polyhedron& ph,
+ const Pointset_Powerset<NNC_Polyhedron>& ps);
+
+
+/*! \brief
+ Partitions the grid \p q with respect to grid \p p if and only if
+ such a partition is finite.
+
+ \relates Parma_Polyhedra_Library::Pointset_Powerset
+ Let \p p and \p q be two grids.
+ The function returns an object <CODE>r</CODE> of type
+ <CODE>std::pair\<PSET, Pointset_Powerset\<Grid\> \></CODE>
+ such that
+ - <CODE>r.first</CODE> is the intersection of \p p and \p q;
+ - If there is a finite partition of \p q with respect to \p p
+ the Boolean <CODE>finite_partition</CODE> is set to true and
+ <CODE>r.second</CODE> has the property that all its elements are
+ pairwise disjoint and disjoint from \p p and the set-theoretical
+ union of <CODE>r.first</CODE> with all the elements of
+ <CODE>r.second</CODE> gives \p q (i.e., <CODE>r</CODE>
+ is the representation of a partition of \p q).
+ - Otherwise the Boolean <CODE>finite_partition</CODE> is set to false
+ and the singleton set that contains \p q is stored in
+ <CODE>r.second</CODE>r.
+*/
+std::pair<Grid, Pointset_Powerset<Grid> >
+approximate_partition(const Grid& p, const Grid& q, bool& finite_partition);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if the union of
+ the grids \p ps contains the grid \p g.
+
+ \relates Pointset_Powerset
+*/
+bool
+check_containment(const Grid& ph,
+ const Pointset_Powerset<Grid>& ps);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if the union of
+ the objects in \p ps contains \p ph.
+
+ \relates Pointset_Powerset
+ \note
+ It is assumed that the template parameter PSET can be converted
+ without precision loss into an NNC_Polyhedron; otherwise,
+ an incorrect result might be obtained.
+*/
+template <typename PSET>
+bool
+check_containment(const PSET& ph, const Pointset_Powerset<PSET>& ps);
+
+// CHECKME: according to the Intel compiler, the declaration of the
+// following specialization (of the class template parameter) should come
+// before the declaration of the corresponding full specialization
+// (where the member template parameter is specialized too).
+template <>
+template <typename QH>
+Pointset_Powerset<NNC_Polyhedron>
+::Pointset_Powerset(const Pointset_Powerset<QH>& y,
+ Complexity_Class);
+
+// Non-inline full specializations should be declared here
+// so as to inhibit multiple instantiations of the generic template.
+template <>
+template <>
+Pointset_Powerset<NNC_Polyhedron>
+::Pointset_Powerset(const Pointset_Powerset<C_Polyhedron>& y,
+ Complexity_Class);
+
+template <>
+template <>
+Pointset_Powerset<NNC_Polyhedron>
+::Pointset_Powerset(const Pointset_Powerset<Grid>& y,
+ Complexity_Class);
+
+template <>
+template <>
+Pointset_Powerset<C_Polyhedron>
+::Pointset_Powerset(const Pointset_Powerset<NNC_Polyhedron>& y,
+ Complexity_Class);
+
+template <>
+void
+Pointset_Powerset<NNC_Polyhedron>
+::difference_assign(const Pointset_Powerset& y);
+
+template <>
+void
+Pointset_Powerset<Grid>
+::difference_assign(const Pointset_Powerset& y);
+
+template <>
+bool
+Pointset_Powerset<NNC_Polyhedron>
+::geometrically_covers(const Pointset_Powerset& y) const;
+
+template <>
+bool
+Pointset_Powerset<Grid>
+::geometrically_covers(const Pointset_Powerset& y) const;
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Pointset_Powerset_inlines.hh"
+#include "Pointset_Powerset_templates.hh"
+
+#endif // !defined(PPL_Pointset_Powerset_defs_hh)
diff --git a/src/Pointset_Powerset_inlines.hh b/src/Pointset_Powerset_inlines.hh
new file mode 100644
index 0000000..a09a265
--- /dev/null
+++ b/src/Pointset_Powerset_inlines.hh
@@ -0,0 +1,320 @@
+/* Pointset_Powerset class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pointset_Powerset_inlines_hh
+#define PPL_Pointset_Powerset_inlines_hh 1
+
+#include "Constraint_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Congruence_defs.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include <algorithm>
+#include <deque>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+inline dimension_type
+Pointset_Powerset<PSET>::space_dimension() const {
+ return space_dim;
+}
+
+template <typename PSET>
+inline dimension_type
+Pointset_Powerset<PSET>::max_space_dimension() {
+ return PSET::max_space_dimension();
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(dimension_type num_dimensions,
+ Degenerate_Element kind)
+ : Base(), space_dim(num_dimensions) {
+ Pointset_Powerset& x = *this;
+ if (kind == UNIVERSE)
+ x.sequence.push_back(Determinate<PSET>(PSET(num_dimensions, kind)));
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(const Pointset_Powerset& y,
+ Complexity_Class)
+ : Base(y), space_dim(y.space_dim) {
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(const C_Polyhedron& ph,
+ Complexity_Class complexity)
+ : Base(), space_dim(ph.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (complexity == ANY_COMPLEXITY) {
+ if (ph.is_empty())
+ return;
+ }
+ else
+ x.reduced = false;
+ x.sequence.push_back(Determinate<PSET>(PSET(ph, complexity)));
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(const NNC_Polyhedron& ph,
+ Complexity_Class complexity)
+ : Base(), space_dim(ph.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (complexity == ANY_COMPLEXITY) {
+ if (ph.is_empty())
+ return;
+ }
+ else
+ x.reduced = false;
+ x.sequence.push_back(Determinate<PSET>(PSET(ph, complexity)));
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(const Grid& gr,
+ Complexity_Class)
+ : Base(), space_dim(gr.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (!gr.is_empty()) {
+ x.sequence.push_back(Determinate<PSET>(PSET(gr)));
+ }
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+template <typename QH1, typename QH2, typename R>
+inline
+Pointset_Powerset<PSET>
+::Pointset_Powerset(const Partially_Reduced_Product<QH1, QH2, R>& prp,
+ Complexity_Class complexity)
+ : Base(), space_dim(prp.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (complexity == ANY_COMPLEXITY) {
+ if (prp.is_empty())
+ return;
+ }
+ else
+ x.reduced = false;
+ x.sequence.push_back(Determinate<PSET>(PSET(prp, complexity)));
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+template <typename Interval>
+Pointset_Powerset<PSET>::Pointset_Powerset(const Box<Interval>& box,
+ Complexity_Class)
+ : Base(), space_dim(box.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (!box.is_empty())
+ x.sequence.push_back(Determinate<PSET>(PSET(box)));
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+template <typename T>
+Pointset_Powerset<PSET>::Pointset_Powerset(const Octagonal_Shape<T>& os,
+ Complexity_Class)
+ : Base(), space_dim(os.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (!os.is_empty())
+ x.sequence.push_back(Determinate<PSET>(PSET(os)));
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+template <typename T>
+Pointset_Powerset<PSET>::Pointset_Powerset(const BD_Shape<T>& bds,
+ Complexity_Class)
+ : Base(), space_dim(bds.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ if (!bds.is_empty())
+ x.sequence.push_back(Determinate<PSET>(PSET(bds)));
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(const Constraint_System& cs)
+ : Base(Determinate<PSET>(cs)), space_dim(cs.space_dimension()) {
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+inline
+Pointset_Powerset<PSET>::Pointset_Powerset(const Congruence_System& cgs)
+ : Base(Determinate<PSET>(cgs)), space_dim(cgs.space_dimension()) {
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename PSET>
+inline Pointset_Powerset<PSET>&
+Pointset_Powerset<PSET>::operator=(const Pointset_Powerset& y) {
+ Pointset_Powerset& x = *this;
+ x.Base::operator=(y);
+ x.space_dim = y.space_dim;
+ return x;
+}
+
+template <typename PSET>
+inline void
+Pointset_Powerset<PSET>::m_swap(Pointset_Powerset& y) {
+ Pointset_Powerset& x = *this;
+ x.Base::m_swap(y);
+ using std::swap;
+ swap(x.space_dim, y.space_dim);
+}
+
+template <typename PSET>
+template <typename QH>
+inline Pointset_Powerset<PSET>&
+Pointset_Powerset<PSET>::operator=(const Pointset_Powerset<QH>& y) {
+ Pointset_Powerset& x = *this;
+ Pointset_Powerset<PSET> ps(y);
+ swap(x, ps);
+ return x;
+}
+
+template <typename PSET>
+inline void
+Pointset_Powerset<PSET>::intersection_assign(const Pointset_Powerset& y) {
+ Pointset_Powerset& x = *this;
+ x.pairwise_apply_assign
+ (y,
+ Det_PSET::lift_op_assign(std::mem_fun_ref(&PSET::intersection_assign)));
+}
+
+template <typename PSET>
+inline void
+Pointset_Powerset<PSET>::time_elapse_assign(const Pointset_Powerset& y) {
+ Pointset_Powerset& x = *this;
+ x.pairwise_apply_assign
+ (y,
+ Det_PSET::lift_op_assign(std::mem_fun_ref(&PSET::time_elapse_assign)));
+}
+
+template <typename PSET>
+inline bool
+Pointset_Powerset<PSET>
+::geometrically_covers(const Pointset_Powerset& y) const {
+ // This code is only used when PSET is an abstraction of NNC_Polyhedron.
+ const Pointset_Powerset<NNC_Polyhedron> xx(*this);
+ const Pointset_Powerset<NNC_Polyhedron> yy(y);
+ return xx.geometrically_covers(yy);
+}
+
+template <typename PSET>
+inline bool
+Pointset_Powerset<PSET>
+::geometrically_equals(const Pointset_Powerset& y) const {
+ // This code is only used when PSET is an abstraction of NNC_Polyhedron.
+ const Pointset_Powerset<NNC_Polyhedron> xx(*this);
+ const Pointset_Powerset<NNC_Polyhedron> yy(y);
+ return xx.geometrically_covers(yy) && yy.geometrically_covers(xx);
+}
+
+template <>
+inline bool
+Pointset_Powerset<Grid>
+::geometrically_equals(const Pointset_Powerset& y) const {
+ const Pointset_Powerset& x = *this;
+ return x.geometrically_covers(y) && y.geometrically_covers(x);
+}
+
+template <>
+inline bool
+Pointset_Powerset<NNC_Polyhedron>
+::geometrically_equals(const Pointset_Powerset& y) const {
+ const Pointset_Powerset& x = *this;
+ return x.geometrically_covers(y) && y.geometrically_covers(x);
+}
+
+template <typename PSET>
+inline memory_size_type
+Pointset_Powerset<PSET>::external_memory_in_bytes() const {
+ return Base::external_memory_in_bytes();
+}
+
+template <typename PSET>
+inline memory_size_type
+Pointset_Powerset<PSET>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+template <typename PSET>
+inline int32_t
+Pointset_Powerset<PSET>::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+template <typename PSET>
+inline void
+Pointset_Powerset<PSET>
+::difference_assign(const Pointset_Powerset& y) {
+ // This code is only used when PSET is an abstraction of NNC_Polyhedron.
+ Pointset_Powerset<NNC_Polyhedron> nnc_this(*this);
+ Pointset_Powerset<NNC_Polyhedron> nnc_y(y);
+ nnc_this.difference_assign(nnc_y);
+ *this = nnc_this;
+}
+
+/*! \relates Pointset_Powerset */
+template <typename PSET>
+inline bool
+check_containment(const PSET& ph, const Pointset_Powerset<PSET>& ps) {
+ // This code is only used when PSET is an abstraction of NNC_Polyhedron.
+ const NNC_Polyhedron ph_nnc = NNC_Polyhedron(ph.constraints());
+ const Pointset_Powerset<NNC_Polyhedron> ps_nnc(ps);
+ return check_containment(ph_nnc, ps_nnc);
+}
+
+/*! \relates Pointset_Powerset */
+template <>
+inline bool
+check_containment(const C_Polyhedron& ph,
+ const Pointset_Powerset<C_Polyhedron>& ps) {
+ return check_containment(NNC_Polyhedron(ph),
+ Pointset_Powerset<NNC_Polyhedron>(ps));
+}
+
+/*! \relates Pointset_Powerset */
+template <typename PSET>
+inline void
+swap(Pointset_Powerset<PSET>& x, Pointset_Powerset<PSET>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pointset_Powerset_inlines_hh)
diff --git a/src/Pointset_Powerset_templates.hh b/src/Pointset_Powerset_templates.hh
new file mode 100644
index 0000000..12b5f12
--- /dev/null
+++ b/src/Pointset_Powerset_templates.hh
@@ -0,0 +1,1610 @@
+/* Pointset_Powerset class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Pointset_Powerset_templates_hh
+#define PPL_Pointset_Powerset_templates_hh 1
+
+#include "Constraint_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Variables_Set_defs.hh"
+#include <algorithm>
+#include <deque>
+#include <string>
+#include <iostream>
+#include <sstream>
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_disjunct(const PSET& ph) {
+ Pointset_Powerset& x = *this;
+ if (x.space_dimension() != ph.space_dimension()) {
+ std::ostringstream s;
+ s << "PPL::Pointset_Powerset<PSET>::add_disjunct(ph):\n"
+ << "this->space_dimension() == " << x.space_dimension() << ", "
+ << "ph.space_dimension() == " << ph.space_dimension() << ".";
+ throw std::invalid_argument(s.str());
+ }
+ x.sequence.push_back(Determinate<PSET>(ph));
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <>
+template <typename QH>
+Pointset_Powerset<NNC_Polyhedron>
+::Pointset_Powerset(const Pointset_Powerset<QH>& y,
+ Complexity_Class complexity)
+ : Base(), space_dim(y.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ for (typename Pointset_Powerset<QH>::const_iterator i = y.begin(),
+ y_end = y.end(); i != y_end; ++i)
+ x.sequence.push_back(Determinate<NNC_Polyhedron>
+ (NNC_Polyhedron(i->pointset(), complexity)));
+
+ // FIXME: If the domain elements can be represented _exactly_ as NNC
+ // polyhedra, then having x.reduced = y.reduced is correct. This is
+ // the case if the domains are both linear and convex which holds
+ // for all the currently supported instantiations except for
+ // Grids; for this reason the Grid specialization has a
+ // separate implementation. For any non-linear or non-convex
+ // domains (e.g., a domain of Intervals with restrictions or a
+ // domain of circles) that may be supported in the future, the
+ // assignment x.reduced = y.reduced will be a bug.
+ x.reduced = y.reduced;
+
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+template <typename QH>
+Pointset_Powerset<PSET>
+::Pointset_Powerset(const Pointset_Powerset<QH>& y,
+ Complexity_Class complexity)
+ : Base(), space_dim(y.space_dimension()) {
+ Pointset_Powerset& x = *this;
+ for (typename Pointset_Powerset<QH>::const_iterator i = y.begin(),
+ y_end = y.end(); i != y_end; ++i)
+ x.sequence.push_back(Determinate<PSET>(PSET(i->pointset(), complexity)));
+ // Note: this might be non-reduced even when `y' is known to be
+ // omega-reduced, because the constructor of PSET may have made
+ // different QH elements to become comparable.
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::concatenate_assign(const Pointset_Powerset& y) {
+ Pointset_Powerset& x = *this;
+ // Ensure omega-reduction here, since what follows has quadratic complexity.
+ x.omega_reduce();
+ y.omega_reduce();
+ Pointset_Powerset<PSET> new_x(x.space_dim + y.space_dim, EMPTY);
+ for (const_iterator xi = x.begin(), x_end = x.end(),
+ y_begin = y.begin(), y_end = y.end(); xi != x_end; ) {
+ for (const_iterator yi = y_begin; yi != y_end; ++yi) {
+ Det_PSET zi = *xi;
+ zi.concatenate_assign(*yi);
+ PPL_ASSERT_HEAVY(!zi.is_bottom());
+ new_x.sequence.push_back(zi);
+ }
+ ++xi;
+ if ((abandon_expensive_computations != 0)
+ && (xi != x_end) && (y_begin != y_end)) {
+ // Hurry up!
+ PSET x_ph = xi->pointset();
+ for (++xi; xi != x_end; ++xi)
+ x_ph.upper_bound_assign(xi->pointset());
+ const_iterator yi = y_begin;
+ PSET y_ph = yi->pointset();
+ for (++yi; yi != y_end; ++yi)
+ y_ph.upper_bound_assign(yi->pointset());
+ x_ph.concatenate_assign(y_ph);
+ swap(x, new_x);
+ x.add_disjunct(x_ph);
+ PPL_ASSERT_HEAVY(x.OK());
+ return;
+ }
+ }
+ swap(x, new_x);
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_constraint(const Constraint& c) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().add_constraint(c);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::refine_with_constraint(const Constraint& c) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().refine_with_constraint(c);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_constraints(const Constraint_System& cs) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().add_constraints(cs);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::refine_with_constraints(const Constraint_System& cs) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().refine_with_constraints(cs);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_congruence(const Congruence& cg) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().add_congruence(cg);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::refine_with_congruence(const Congruence& cg) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().refine_with_congruence(cg);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_congruences(const Congruence_System& cgs) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().add_congruences(cgs);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::refine_with_congruences(const Congruence_System& cgs) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().refine_with_congruences(cgs);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::unconstrain(const Variable var) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().unconstrain(var);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::unconstrain(const Variables_Set& vars) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().unconstrain(vars);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_space_dimensions_and_embed(dimension_type m) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().add_space_dimensions_and_embed(m);
+ x.space_dim += m;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::add_space_dimensions_and_project(dimension_type m) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().add_space_dimensions_and_project(m);
+ x.space_dim += m;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::remove_space_dimensions(const Variables_Set& vars) {
+ Pointset_Powerset& x = *this;
+ Variables_Set::size_type num_removed = vars.size();
+ if (num_removed > 0) {
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().remove_space_dimensions(vars);
+ x.reduced = false;
+ }
+ x.space_dim -= num_removed;
+ PPL_ASSERT_HEAVY(x.OK());
+ }
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::remove_higher_space_dimensions(dimension_type new_dimension) {
+ Pointset_Powerset& x = *this;
+ if (new_dimension < x.space_dim) {
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().remove_higher_space_dimensions(new_dimension);
+ x.reduced = false;
+ }
+ x.space_dim = new_dimension;
+ PPL_ASSERT_HEAVY(x.OK());
+ }
+}
+
+template <typename PSET>
+template <typename Partial_Function>
+void
+Pointset_Powerset<PSET>::map_space_dimensions(const Partial_Function& pfunc) {
+ Pointset_Powerset& x = *this;
+ if (x.is_bottom()) {
+ dimension_type n = 0;
+ for (dimension_type i = x.space_dim; i-- > 0; ) {
+ dimension_type new_i;
+ if (pfunc.maps(i, new_i))
+ ++n;
+ }
+ x.space_dim = n;
+ }
+ else {
+ Sequence_iterator s_begin = x.sequence.begin();
+ for (Sequence_iterator si = s_begin,
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().map_space_dimensions(pfunc);
+ x.space_dim = s_begin->pointset().space_dimension();
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::expand_space_dimension(Variable var,
+ dimension_type m) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().expand_space_dimension(var, m);
+ x.space_dim += m;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::fold_space_dimensions(const Variables_Set& vars,
+ Variable dest) {
+ Pointset_Powerset& x = *this;
+ Variables_Set::size_type num_folded = vars.size();
+ if (num_folded > 0) {
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().fold_space_dimensions(vars, dest);
+ }
+ x.space_dim -= num_folded;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().affine_image(var, expr, denominator);
+ // Note that the underlying domain can apply conservative approximation:
+ // that is why it would not be correct to make the loss of reduction
+ // conditional on `var' and `expr'.
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().affine_preimage(var, expr, denominator);
+ // Note that the underlying domain can apply conservative approximation:
+ // that is why it would not be correct to make the loss of reduction
+ // conditional on `var' and `expr'.
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::generalized_affine_image(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().generalized_affine_image(lhs, relsym, rhs);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::generalized_affine_preimage(const Linear_Expression& lhs,
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().generalized_affine_preimage(lhs, relsym, rhs);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::generalized_affine_image(Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().generalized_affine_image(var, relsym, expr, denominator);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::generalized_affine_preimage(Variable var,
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference
+ denominator) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().generalized_affine_preimage(var, relsym, expr, denominator);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().bounded_affine_image(var, lb_expr, ub_expr, denominator);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ si->pointset().bounded_affine_preimage(var, lb_expr, ub_expr,
+ denominator);
+ x.reduced = false;
+ }
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+dimension_type
+Pointset_Powerset<PSET>::affine_dimension() const {
+ // The affine dimension of the powerset is the affine dimension of
+ // the smallest vector space in which it can be embedded.
+ const Pointset_Powerset& x = *this;
+ C_Polyhedron x_ph(space_dim, EMPTY);
+
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ PSET pi(si->pointset());
+ if (!pi.is_empty()) {
+ C_Polyhedron phi(space_dim);
+ const Constraint_System& cs = pi.minimized_constraints();
+ for (Constraint_System::const_iterator i = cs.begin(),
+ cs_end = cs.end(); i != cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_equality())
+ phi.add_constraint(c);
+ }
+ x_ph.poly_hull_assign(phi);
+ }
+ }
+
+ return x_ph.affine_dimension();
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::is_universe() const {
+ const Pointset_Powerset& x = *this;
+ // Exploit omega-reduction, if already computed.
+ if (x.is_omega_reduced())
+ return x.size() == 1 && x.begin()->pointset().is_universe();
+
+ // A powerset is universe iff one of its disjuncts is.
+ for (const_iterator x_i = x.begin(), x_end = x.end(); x_i != x_end; ++x_i)
+ if (x_i->pointset().is_universe()) {
+ // Speculative omega-reduction, if it is worth.
+ if (x.size() > 1) {
+ Pointset_Powerset<PSET> universe(x.space_dimension(), UNIVERSE);
+ Pointset_Powerset& xx = const_cast<Pointset_Powerset&>(x);
+ swap(xx, universe);
+ }
+ return true;
+ }
+ return false;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::is_empty() const {
+ const Pointset_Powerset& x = *this;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (!si->pointset().is_empty())
+ return false;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::is_discrete() const {
+ const Pointset_Powerset& x = *this;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (!si->pointset().is_discrete())
+ return false;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::is_topologically_closed() const {
+ const Pointset_Powerset& x = *this;
+ // The powerset must be omega-reduced before checking
+ // topological closure.
+ x.omega_reduce();
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (!si->pointset().is_topologically_closed())
+ return false;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::is_bounded() const {
+ const Pointset_Powerset& x = *this;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (!si->pointset().is_bounded())
+ return false;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::constrains(Variable var) const {
+ const Pointset_Powerset& x = *this;
+ // `var' should be one of the dimensions of the powerset.
+ const dimension_type var_space_dim = var.space_dimension();
+ if (x.space_dimension() < var_space_dim) {
+ std::ostringstream s;
+ s << "PPL::Pointset_Powerset<PSET>::constrains(v):\n"
+ << "this->space_dimension() == " << x.space_dimension() << ", "
+ << "v.space_dimension() == " << var_space_dim << ".";
+ throw std::invalid_argument(s.str());
+ }
+ // omega_reduction needed, since a redundant disjunct may constrain var.
+ x.omega_reduce();
+ // An empty powerset constrains all variables.
+ if (x.is_empty())
+ return true;
+ for (const_iterator x_i = x.begin(), x_end = x.end(); x_i != x_end; ++x_i)
+ if (x_i->pointset().constrains(var))
+ return true;
+ return false;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::is_disjoint_from(const Pointset_Powerset& y) const {
+ const Pointset_Powerset& x = *this;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ x_s_end = x.sequence.end(); si != x_s_end; ++si) {
+ const PSET& pi = si->pointset();
+ for (Sequence_const_iterator sj = y.sequence.begin(),
+ y_s_end = y.sequence.end(); sj != y_s_end; ++sj) {
+ const PSET& pj = sj->pointset();
+ if (!pi.is_disjoint_from(pj))
+ return false;
+ }
+ }
+ return true;
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().drop_some_non_integer_points(vars, complexity);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>
+::drop_some_non_integer_points(Complexity_Class complexity) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().drop_some_non_integer_points(complexity);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::topological_closure_assign() {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().topological_closure_assign();
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>
+::intersection_preserving_enlarge_element(PSET& dest) const {
+ // FIXME: this is just an executable specification.
+ const Pointset_Powerset& context = *this;
+ PPL_ASSERT(context.space_dimension() == dest.space_dimension());
+ bool nonempty_intersection = false;
+ // TODO: maybe use a *sorted* constraint system?
+ PSET enlarged(context.space_dimension(), UNIVERSE);
+ for (Sequence_const_iterator si = context.sequence.begin(),
+ s_end = context.sequence.end(); si != s_end; ++si) {
+ PSET context_i(si->pointset());
+ context_i.intersection_assign(enlarged);
+ PSET enlarged_i(dest);
+ if (enlarged_i.simplify_using_context_assign(context_i))
+ nonempty_intersection = true;
+ // TODO: merge the sorted constraints of `enlarged' and `enlarged_i'?
+ enlarged.intersection_assign(enlarged_i);
+ }
+ swap(dest, enlarged);
+ return nonempty_intersection;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>
+::simplify_using_context_assign(const Pointset_Powerset& y) {
+ Pointset_Powerset& x = *this;
+
+ // Omega reduction is required.
+ // TODO: check whether it would be more efficient to Omega-reduce x
+ // during the simplification process: when examining *si, we check
+ // if it has been made redundant by any of the elements preceding it
+ // (which have been already simplified).
+ x.omega_reduce();
+ if (x.is_empty())
+ return false;
+ y.omega_reduce();
+ if (y.is_empty()) {
+ x = y;
+ return false;
+ }
+
+ if (y.size() == 1) {
+ // More efficient, special handling of the singleton context case.
+ const PSET& y_i = y.sequence.begin()->pointset();
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ) {
+ PSET& x_i = si->pointset();
+ if (x_i.simplify_using_context_assign(y_i))
+ ++si;
+ else
+ // Intersection is empty: drop the disjunct.
+ si = x.sequence.erase(si);
+ }
+ }
+ else {
+ // The context is not a singleton.
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ) {
+ if (y.intersection_preserving_enlarge_element(si->pointset()))
+ ++si;
+ else
+ // Intersection with `*si' is empty: drop the disjunct.
+ si = x.sequence.erase(si);
+ }
+ }
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+ return !x.sequence.empty();
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::contains(const Pointset_Powerset& y) const {
+ const Pointset_Powerset& x = *this;
+ for (Sequence_const_iterator si = y.sequence.begin(),
+ y_s_end = y.sequence.end(); si != y_s_end; ++si) {
+ const PSET& pi = si->pointset();
+ bool pi_is_contained = false;
+ for (Sequence_const_iterator sj = x.sequence.begin(),
+ x_s_end = x.sequence.end();
+ (sj != x_s_end && !pi_is_contained);
+ ++sj) {
+ const PSET& pj = sj->pointset();
+ if (pj.contains(pi))
+ pi_is_contained = true;
+ }
+ if (!pi_is_contained)
+ return false;
+ }
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::strictly_contains(const Pointset_Powerset& y) const {
+ /* omega reduction ensures that a disjunct of y cannot be strictly
+ contained in one disjunct and also contained but not strictly
+ contained in another disjunct of *this */
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ for (Sequence_const_iterator si = y.sequence.begin(),
+ y_s_end = y.sequence.end(); si != y_s_end; ++si) {
+ const PSET& pi = si->pointset();
+ bool pi_is_strictly_contained = false;
+ for (Sequence_const_iterator sj = x.sequence.begin(),
+ x_s_end = x.sequence.end();
+ (sj != x_s_end && !pi_is_strictly_contained); ++sj) {
+ const PSET& pj = sj->pointset();
+ if (pj.strictly_contains(pi))
+ pi_is_strictly_contained = true;
+ }
+ if (!pi_is_strictly_contained)
+ return false;
+ }
+ return true;
+}
+
+template <typename PSET>
+Poly_Con_Relation
+Pointset_Powerset<PSET>::relation_with(const Congruence& cg) const {
+ const Pointset_Powerset& x = *this;
+
+ /* *this is included in cg if every disjunct is included in cg */
+ bool is_included = true;
+ /* *this is disjoint with cg if every disjunct is disjoint with cg */
+ bool is_disjoint = true;
+ /* *this strictly_intersects with cg if some disjunct strictly
+ intersects with cg */
+ bool is_strictly_intersecting = false;
+ /* *this saturates cg if some disjunct saturates cg and
+ every disjunct is either disjoint from cg or saturates cg */
+ bool saturates_once = false;
+ bool may_saturate = true;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ Poly_Con_Relation relation_i = si->pointset().relation_with(cg);
+ if (!relation_i.implies(Poly_Con_Relation::is_included()))
+ is_included = false;
+ if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
+ is_disjoint = false;
+ if (relation_i.implies(Poly_Con_Relation::strictly_intersects()))
+ is_strictly_intersecting = true;
+ if (relation_i.implies(Poly_Con_Relation::saturates()))
+ saturates_once = true;
+ else if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
+ may_saturate = false;
+ }
+
+ Poly_Con_Relation result = Poly_Con_Relation::nothing();
+ if (is_included)
+ result = result && Poly_Con_Relation::is_included();
+ if (is_disjoint)
+ result = result && Poly_Con_Relation::is_disjoint();
+ if (is_strictly_intersecting)
+ result = result && Poly_Con_Relation::strictly_intersects();
+ if (saturates_once && may_saturate)
+ result = result && Poly_Con_Relation::saturates();
+
+ return result;
+}
+
+template <typename PSET>
+Poly_Con_Relation
+Pointset_Powerset<PSET>::relation_with(const Constraint& c) const {
+ const Pointset_Powerset& x = *this;
+
+ /* *this is included in c if every disjunct is included in c */
+ bool is_included = true;
+ /* *this is disjoint with c if every disjunct is disjoint with c */
+ bool is_disjoint = true;
+ /* *this strictly_intersects with c if some disjunct strictly
+ intersects with c */
+ bool is_strictly_intersecting = false;
+ /* *this saturates c if some disjunct saturates c and
+ every disjunct is either disjoint from c or saturates c */
+ bool saturates_once = false;
+ bool may_saturate = true;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ Poly_Con_Relation relation_i = si->pointset().relation_with(c);
+ if (!relation_i.implies(Poly_Con_Relation::is_included()))
+ is_included = false;
+ if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
+ is_disjoint = false;
+ if (relation_i.implies(Poly_Con_Relation::strictly_intersects()))
+ is_strictly_intersecting = true;
+ if (relation_i.implies(Poly_Con_Relation::saturates()))
+ saturates_once = true;
+ else if (!relation_i.implies(Poly_Con_Relation::is_disjoint()))
+ may_saturate = false;
+ }
+
+ Poly_Con_Relation result = Poly_Con_Relation::nothing();
+ if (is_included)
+ result = result && Poly_Con_Relation::is_included();
+ if (is_disjoint)
+ result = result && Poly_Con_Relation::is_disjoint();
+ if (is_strictly_intersecting)
+ result = result && Poly_Con_Relation::strictly_intersects();
+ if (saturates_once && may_saturate)
+ result = result && Poly_Con_Relation::saturates();
+
+ return result;
+}
+
+template <typename PSET>
+Poly_Gen_Relation
+Pointset_Powerset<PSET>::relation_with(const Generator& g) const {
+ const Pointset_Powerset& x = *this;
+
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ Poly_Gen_Relation relation_i = si->pointset().relation_with(g);
+ if (relation_i.implies(Poly_Gen_Relation::subsumes()))
+ return Poly_Gen_Relation::subsumes();
+ }
+
+ return Poly_Gen_Relation::nothing();
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>
+::bounds_from_above(const Linear_Expression& expr) const {
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (!si->pointset().bounds_from_above(expr))
+ return false;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>
+::bounds_from_below(const Linear_Expression& expr) const {
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (!si->pointset().bounds_from_below(expr))
+ return false;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n,
+ Coefficient& sup_d,
+ bool& maximum) const {
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ if (x.is_empty())
+ return false;
+
+ bool first = true;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(best_sup_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(best_sup_d);
+ best_sup_n = 0;
+ best_sup_d = 1;
+ bool best_max = false;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_d);
+ iter_sup_n = 0;
+ iter_sup_d = 1;
+ bool iter_max = false;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ if (!si->pointset().maximize(expr, iter_sup_n, iter_sup_d, iter_max))
+ return false;
+ else
+ if (first) {
+ first = false;
+ best_sup_n = iter_sup_n;
+ best_sup_d = iter_sup_d;
+ best_max = iter_max;
+ }
+ else {
+ tmp = (best_sup_n * iter_sup_d) - (iter_sup_n * best_sup_d);
+ if (tmp < 0) {
+ best_sup_n = iter_sup_n;
+ best_sup_d = iter_sup_d;
+ best_max = iter_max;
+ }
+ else if (tmp == 0)
+ best_max = (best_max || iter_max);
+ }
+ }
+ sup_n = best_sup_n;
+ sup_d = best_sup_d;
+ maximum = best_max;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n,
+ Coefficient& sup_d,
+ bool& maximum,
+ Generator& g) const {
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ if (x.is_empty())
+ return false;
+
+ bool first = true;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(best_sup_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(best_sup_d);
+ best_sup_n = 0;
+ best_sup_d = 1;
+ bool best_max = false;
+ Generator best_g = point();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_sup_d);
+ iter_sup_n = 0;
+ iter_sup_d = 1;
+ bool iter_max = false;
+ Generator iter_g = point();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ if (!si->pointset().maximize(expr,
+ iter_sup_n, iter_sup_d, iter_max, iter_g))
+ return false;
+ else
+ if (first) {
+ first = false;
+ best_sup_n = iter_sup_n;
+ best_sup_d = iter_sup_d;
+ best_max = iter_max;
+ best_g = iter_g;
+ }
+ else {
+ tmp = (best_sup_n * iter_sup_d) - (iter_sup_n * best_sup_d);
+ if (tmp < 0) {
+ best_sup_n = iter_sup_n;
+ best_sup_d = iter_sup_d;
+ best_max = iter_max;
+ best_g = iter_g;
+ }
+ else if (tmp == 0) {
+ best_max = (best_max || iter_max);
+ best_g = iter_g;
+ }
+ }
+ }
+ sup_n = best_sup_n;
+ sup_d = best_sup_d;
+ maximum = best_max;
+ g = best_g;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n,
+ Coefficient& inf_d,
+ bool& minimum) const {
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ if (x.is_empty())
+ return false;
+
+ bool first = true;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(best_inf_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(best_inf_d);
+ best_inf_n = 0;
+ best_inf_d = 1;
+ bool best_min = false;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_d);
+ iter_inf_n = 0;
+ iter_inf_d = 1;
+ bool iter_min = false;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ if (!si->pointset().minimize(expr, iter_inf_n, iter_inf_d, iter_min))
+ return false;
+ else
+ if (first) {
+ first = false;
+ best_inf_n = iter_inf_n;
+ best_inf_d = iter_inf_d;
+ best_min = iter_min;
+ }
+ else {
+ tmp = (best_inf_n * iter_inf_d) - (iter_inf_n * best_inf_d);
+ if (tmp > 0) {
+ best_inf_n = iter_inf_n;
+ best_inf_d = iter_inf_d;
+ best_min = iter_min;
+ }
+ else if (tmp == 0)
+ best_min = (best_min || iter_min);
+ }
+ }
+ inf_n = best_inf_n;
+ inf_d = best_inf_d;
+ minimum = best_min;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n,
+ Coefficient& inf_d,
+ bool& minimum,
+ Generator& g) const {
+ const Pointset_Powerset& x = *this;
+ x.omega_reduce();
+ if (x.is_empty())
+ return false;
+
+ bool first = true;
+
+ PPL_DIRTY_TEMP_COEFFICIENT(best_inf_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(best_inf_d);
+ best_inf_n = 0;
+ best_inf_d = 1;
+ bool best_min = false;
+ Generator best_g = point();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(iter_inf_d);
+ iter_inf_n = 0;
+ iter_inf_d = 1;
+ bool iter_min = false;
+ Generator iter_g = point();
+
+ PPL_DIRTY_TEMP_COEFFICIENT(tmp);
+
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si) {
+ if (!si->pointset().minimize(expr,
+ iter_inf_n, iter_inf_d, iter_min, iter_g))
+ return false;
+ else
+ if (first) {
+ first = false;
+ best_inf_n = iter_inf_n;
+ best_inf_d = iter_inf_d;
+ best_min = iter_min;
+ best_g = iter_g;
+ }
+ else {
+ tmp = (best_inf_n * iter_inf_d) - (iter_inf_n * best_inf_d);
+ if (tmp > 0) {
+ best_inf_n = iter_inf_n;
+ best_inf_d = iter_inf_d;
+ best_min = iter_min;
+ best_g = iter_g;
+ }
+ else if (tmp == 0) {
+ best_min = (best_min || iter_min);
+ best_g = iter_g;
+ }
+ }
+ }
+ inf_n = best_inf_n;
+ inf_d = best_inf_d;
+ minimum = best_min;
+ g = best_g;
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::contains_integer_point() const {
+ const Pointset_Powerset& x = *this;
+ for (Sequence_const_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ if (si->pointset().contains_integer_point())
+ return true;
+ return false;
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p,
+ unsigned complexity_threshold,
+ bool wrap_individually) {
+ Pointset_Powerset& x = *this;
+ for (Sequence_iterator si = x.sequence.begin(),
+ s_end = x.sequence.end(); si != s_end; ++si)
+ si->pointset().wrap_assign(vars, w, r, o, cs_p,
+ complexity_threshold, wrap_individually);
+ x.reduced = false;
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::pairwise_reduce() {
+ Pointset_Powerset& x = *this;
+ // It is wise to omega-reduce before pairwise-reducing.
+ x.omega_reduce();
+
+ size_type n = x.size();
+ size_type deleted;
+ do {
+ Pointset_Powerset new_x(x.space_dim, EMPTY);
+ std::deque<bool> marked(n, false);
+ deleted = 0;
+ Sequence_iterator s_begin = x.sequence.begin();
+ Sequence_iterator s_end = x.sequence.end();
+ unsigned si_index = 0;
+ for (Sequence_iterator si = s_begin; si != s_end; ++si, ++si_index) {
+ if (marked[si_index])
+ continue;
+ PSET& pi = si->pointset();
+ Sequence_const_iterator sj = si;
+ unsigned sj_index = si_index;
+ for (++sj, ++sj_index; sj != s_end; ++sj, ++sj_index) {
+ if (marked[sj_index])
+ continue;
+ const PSET& pj = sj->pointset();
+ if (pi.upper_bound_assign_if_exact(pj)) {
+ marked[si_index] = true;
+ marked[sj_index] = true;
+ new_x.add_non_bottom_disjunct_preserve_reduction(pi);
+ ++deleted;
+ goto next;
+ }
+ }
+ next:
+ ;
+ }
+ iterator new_x_begin = new_x.begin();
+ iterator new_x_end = new_x.end();
+ unsigned xi_index = 0;
+ for (const_iterator xi = x.begin(),
+ x_end = x.end(); xi != x_end; ++xi, ++xi_index)
+ if (!marked[xi_index])
+ new_x_begin
+ = new_x.add_non_bottom_disjunct_preserve_reduction(*xi,
+ new_x_begin,
+ new_x_end);
+ using std::swap;
+ swap(x.sequence, new_x.sequence);
+ n -= deleted;
+ } while (deleted > 0);
+ PPL_ASSERT_HEAVY(x.OK());
+}
+
+template <typename PSET>
+template <typename Widening>
+void
+Pointset_Powerset<PSET>::
+BGP99_heuristics_assign(const Pointset_Powerset& y, Widening widen_fun) {
+ // `x' is the current iteration value.
+ Pointset_Powerset& x = *this;
+
+#ifndef NDEBUG
+ {
+ // We assume that `y' entails `x'.
+ const Pointset_Powerset<PSET> x_copy = x;
+ const Pointset_Powerset<PSET> y_copy = y;
+ PPL_ASSERT_HEAVY(y_copy.definitely_entails(x_copy));
+ }
+#endif
+
+ size_type n = x.size();
+ Pointset_Powerset new_x(x.space_dim, EMPTY);
+ std::deque<bool> marked(n, false);
+ const_iterator x_begin = x.begin();
+ const_iterator x_end = x.end();
+ unsigned i_index = 0;
+ for (const_iterator i = x_begin,
+ y_begin = y.begin(), y_end = y.end(); i != x_end; ++i, ++i_index)
+ for (const_iterator j = y_begin; j != y_end; ++j) {
+ const PSET& pi = i->pointset();
+ const PSET& pj = j->pointset();
+ if (pi.contains(pj)) {
+ PSET pi_copy = pi;
+ widen_fun(pi_copy, pj);
+ new_x.add_non_bottom_disjunct_preserve_reduction(pi_copy);
+ marked[i_index] = true;
+ }
+ }
+ iterator new_x_begin = new_x.begin();
+ iterator new_x_end = new_x.end();
+ i_index = 0;
+ for (const_iterator i = x_begin; i != x_end; ++i, ++i_index)
+ if (!marked[i_index])
+ new_x_begin
+ = new_x.add_non_bottom_disjunct_preserve_reduction(*i,
+ new_x_begin,
+ new_x_end);
+ using std::swap;
+ swap(x.sequence, new_x.sequence);
+ PPL_ASSERT_HEAVY(x.OK());
+ PPL_ASSERT(x.is_omega_reduced());
+}
+
+template <typename PSET>
+template <typename Widening>
+void
+Pointset_Powerset<PSET>::
+BGP99_extrapolation_assign(const Pointset_Powerset& y,
+ Widening widen_fun,
+ unsigned max_disjuncts) {
+ // `x' is the current iteration value.
+ Pointset_Powerset& x = *this;
+
+#ifndef NDEBUG
+ {
+ // We assume that `y' entails `x'.
+ const Pointset_Powerset<PSET> x_copy = x;
+ const Pointset_Powerset<PSET> y_copy = y;
+ PPL_ASSERT_HEAVY(y_copy.definitely_entails(x_copy));
+ }
+#endif
+
+ x.pairwise_reduce();
+ if (max_disjuncts != 0)
+ x.collapse(max_disjuncts);
+ x.BGP99_heuristics_assign(y, widen_fun);
+}
+
+template <typename PSET>
+template <typename Cert>
+void
+Pointset_Powerset<PSET>::
+collect_certificates(std::map<Cert, size_type,
+ typename Cert::Compare>& cert_ms) const {
+ const Pointset_Powerset& x = *this;
+ PPL_ASSERT(x.is_omega_reduced());
+ PPL_ASSERT(cert_ms.size() == 0);
+ for (const_iterator i = x.begin(), end = x.end(); i != end; ++i) {
+ Cert ph_cert(i->pointset());
+ ++cert_ms[ph_cert];
+ }
+}
+
+template <typename PSET>
+template <typename Cert>
+bool
+Pointset_Powerset<PSET>::
+is_cert_multiset_stabilizing(const std::map<Cert, size_type,
+ typename Cert::Compare>& y_cert_ms) const {
+ typedef std::map<Cert, size_type, typename Cert::Compare> Cert_Multiset;
+ Cert_Multiset x_cert_ms;
+ collect_certificates(x_cert_ms);
+ typename Cert_Multiset::const_iterator xi = x_cert_ms.begin();
+ typename Cert_Multiset::const_iterator x_cert_ms_end = x_cert_ms.end();
+ typename Cert_Multiset::const_iterator yi = y_cert_ms.begin();
+ typename Cert_Multiset::const_iterator y_cert_ms_end = y_cert_ms.end();
+ while (xi != x_cert_ms_end && yi != y_cert_ms_end) {
+ const Cert& xi_cert = xi->first;
+ const Cert& yi_cert = yi->first;
+ switch (xi_cert.compare(yi_cert)) {
+ case 0:
+ // xi_cert == yi_cert: check the number of multiset occurrences.
+ {
+ const size_type& xi_count = xi->second;
+ const size_type& yi_count = yi->second;
+ if (xi_count == yi_count) {
+ // Same number of occurrences: compare the next pair.
+ ++xi;
+ ++yi;
+ }
+ else
+ // Different number of occurrences: can decide ordering.
+ return xi_count < yi_count;
+ break;
+ }
+ case 1:
+ // xi_cert > yi_cert: it is not stabilizing.
+ return false;
+
+ case -1:
+ // xi_cert < yi_cert: it is stabilizing.
+ return true;
+ }
+ }
+ // Here xi == x_cert_ms_end or yi == y_cert_ms_end.
+ // Stabilization is achieved if `y_cert_ms' still has other elements.
+ return yi != y_cert_ms_end;
+}
+
+template <typename PSET>
+template <typename Cert, typename Widening>
+void
+Pointset_Powerset<PSET>::BHZ03_widening_assign(const Pointset_Powerset& y,
+ Widening widen_fun) {
+ // `x' is the current iteration value.
+ Pointset_Powerset& x = *this;
+
+#ifndef NDEBUG
+ {
+ // We assume that `y' entails `x'.
+ const Pointset_Powerset<PSET> x_copy = x;
+ const Pointset_Powerset<PSET> y_copy = y;
+ PPL_ASSERT_HEAVY(y_copy.definitely_entails(x_copy));
+ }
+#endif
+
+ // First widening technique: do nothing.
+
+ // If `y' is the empty collection, do nothing.
+ PPL_ASSERT(x.size() > 0);
+ if (y.size() == 0)
+ return;
+
+ // Compute the poly-hull of `x'.
+ PSET x_hull(x.space_dim, EMPTY);
+ for (const_iterator i = x.begin(), x_end = x.end(); i != x_end; ++i)
+ x_hull.upper_bound_assign(i->pointset());
+
+ // Compute the poly-hull of `y'.
+ PSET y_hull(y.space_dim, EMPTY);
+ for (const_iterator i = y.begin(), y_end = y.end(); i != y_end; ++i)
+ y_hull.upper_bound_assign(i->pointset());
+ // Compute the certificate for `y_hull'.
+ const Cert y_hull_cert(y_hull);
+
+ // If the hull is stabilizing, do nothing.
+ int hull_stabilization = y_hull_cert.compare(x_hull);
+ if (hull_stabilization == 1)
+ return;
+
+ // Multiset ordering is only useful when `y' is not a singleton.
+ const bool y_is_not_a_singleton = y.size() > 1;
+
+ // The multiset certificate for `y':
+ // we want to be lazy about its computation.
+ typedef std::map<Cert, size_type, typename Cert::Compare> Cert_Multiset;
+ Cert_Multiset y_cert_ms;
+ bool y_cert_ms_computed = false;
+
+ if (hull_stabilization == 0 && y_is_not_a_singleton) {
+ // Collect the multiset certificate for `y'.
+ y.collect_certificates(y_cert_ms);
+ y_cert_ms_computed = true;
+ // If multiset ordering is stabilizing, do nothing.
+ if (x.is_cert_multiset_stabilizing(y_cert_ms))
+ return;
+ }
+
+ // Second widening technique: try the BGP99 powerset heuristics.
+ Pointset_Powerset<PSET> bgp99_heuristics = x;
+ bgp99_heuristics.BGP99_heuristics_assign(y, widen_fun);
+
+ // Compute the poly-hull of `bgp99_heuristics'.
+ PSET bgp99_heuristics_hull(x.space_dim, EMPTY);
+ for (const_iterator i = bgp99_heuristics.begin(),
+ b_h_end = bgp99_heuristics.end(); i != b_h_end; ++i)
+ bgp99_heuristics_hull.upper_bound_assign(i->pointset());
+
+ // Check for stabilization and, if successful,
+ // commit to the result of the extrapolation.
+ hull_stabilization = y_hull_cert.compare(bgp99_heuristics_hull);
+ if (hull_stabilization == 1) {
+ // The poly-hull is stabilizing.
+ swap(x, bgp99_heuristics);
+ return;
+ }
+ else if (hull_stabilization == 0 && y_is_not_a_singleton) {
+ // If not already done, compute multiset certificate for `y'.
+ if (!y_cert_ms_computed) {
+ y.collect_certificates(y_cert_ms);
+ y_cert_ms_computed = true;
+ }
+ if (bgp99_heuristics.is_cert_multiset_stabilizing(y_cert_ms)) {
+ swap(x, bgp99_heuristics);
+ return;
+ }
+ // Third widening technique: pairwise-reduction on `bgp99_heuristics'.
+ // Note that pairwise-reduction does not affect the computation
+ // of the poly-hulls, so that we only have to check the multiset
+ // certificate relation.
+ Pointset_Powerset<PSET> reduced_bgp99_heuristics(bgp99_heuristics);
+ reduced_bgp99_heuristics.pairwise_reduce();
+ if (reduced_bgp99_heuristics.is_cert_multiset_stabilizing(y_cert_ms)) {
+ swap(x, reduced_bgp99_heuristics);
+ return;
+ }
+ }
+
+ // Fourth widening technique: this is applicable only when
+ // `y_hull' is a proper subset of `bgp99_heuristics_hull'.
+ if (bgp99_heuristics_hull.strictly_contains(y_hull)) {
+ // Compute (y_hull \widen bgp99_heuristics_hull).
+ PSET ph = bgp99_heuristics_hull;
+ widen_fun(ph, y_hull);
+ // Compute the difference between `ph' and `bgp99_heuristics_hull'.
+ ph.difference_assign(bgp99_heuristics_hull);
+ x.add_disjunct(ph);
+ return;
+ }
+
+ // Fall back to the computation of the poly-hull.
+ Pointset_Powerset<PSET> x_hull_singleton(x.space_dim, EMPTY);
+ x_hull_singleton.add_disjunct(x_hull);
+ swap(x, x_hull_singleton);
+}
+
+template <typename PSET>
+void
+Pointset_Powerset<PSET>::ascii_dump(std::ostream& s) const {
+ const Pointset_Powerset& x = *this;
+ s << "size " << x.size()
+ << "\nspace_dim " << x.space_dim
+ << "\n";
+ for (const_iterator xi = x.begin(), x_end = x.end(); xi != x_end; ++xi)
+ xi->pointset().ascii_dump(s);
+}
+
+PPL_OUTPUT_TEMPLATE_DEFINITIONS(PSET, Pointset_Powerset<PSET>)
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::ascii_load(std::istream& s) {
+ Pointset_Powerset& x = *this;
+ std::string str;
+
+ if (!(s >> str) || str != "size")
+ return false;
+
+ size_type sz;
+
+ if (!(s >> sz))
+ return false;
+
+ if (!(s >> str) || str != "space_dim")
+ return false;
+
+ if (!(s >> x.space_dim))
+ return false;
+
+ Pointset_Powerset new_x(x.space_dim, EMPTY);
+ while (sz-- > 0) {
+ PSET ph;
+ if (!ph.ascii_load(s))
+ return false;
+ new_x.add_disjunct(ph);
+ }
+ swap(x, new_x);
+
+ // Check invariants.
+ PPL_ASSERT_HEAVY(x.OK());
+ return true;
+}
+
+template <typename PSET>
+bool
+Pointset_Powerset<PSET>::OK() const {
+ const Pointset_Powerset& x = *this;
+ for (const_iterator xi = x.begin(), x_end = x.end(); xi != x_end; ++xi) {
+ const PSET& pi = xi->pointset();
+ if (pi.space_dimension() != x.space_dim) {
+#ifndef NDEBUG
+ std::cerr << "Space dimension mismatch: is " << pi.space_dimension()
+ << " in an element of the sequence,\nshould be "
+ << x.space_dim << "."
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+ return x.Base::OK();
+}
+
+namespace Implementation {
+
+namespace Pointset_Powersets {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Partitions polyhedron \p pset according to constraint \p c.
+/*! \relates Parma_Polyhedra_Library::Pointset_Powerset
+ On exit, the intersection of \p pset and constraint \p c is stored
+ in \p pset, whereas the intersection of \p pset with the negation of \p c
+ is added as a new disjunct of the powerset \p r.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename PSET>
+void
+linear_partition_aux(const Constraint& c,
+ PSET& pset,
+ Pointset_Powerset<NNC_Polyhedron>& r) {
+ const Linear_Expression le(c.expression());
+ const Constraint& neg_c = c.is_strict_inequality() ? (le <= 0) : (le < 0);
+ NNC_Polyhedron nnc_ph_pset(pset);
+ nnc_ph_pset.add_constraint(neg_c);
+ if (!nnc_ph_pset.is_empty())
+ r.add_disjunct(nnc_ph_pset);
+ pset.add_constraint(c);
+}
+
+} // namespace Pointset_Powersets
+
+} // namespace Implementation
+
+
+/*! \relates Pointset_Powerset */
+template <typename PSET>
+std::pair<PSET, Pointset_Powerset<NNC_Polyhedron> >
+linear_partition(const PSET& p, const PSET& q) {
+ using Implementation::Pointset_Powersets::linear_partition_aux;
+
+ Pointset_Powerset<NNC_Polyhedron> r(p.space_dimension(), EMPTY);
+ PSET pset = q;
+ const Constraint_System& p_constraints = p.constraints();
+ for (Constraint_System::const_iterator i = p_constraints.begin(),
+ p_constraints_end = p_constraints.end();
+ i != p_constraints_end;
+ ++i) {
+ const Constraint& c = *i;
+ if (c.is_equality()) {
+ const Linear_Expression le(c.expression());
+ linear_partition_aux(le <= 0, pset, r);
+ linear_partition_aux(le >= 0, pset, r);
+ }
+ else
+ linear_partition_aux(c, pset, r);
+ }
+ return std::make_pair(pset, r);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pointset_Powerset_templates_hh)
diff --git a/src/Pointset_Powerset_types.hh b/src/Pointset_Powerset_types.hh
new file mode 100644
index 0000000..f52e4f5
--- /dev/null
+++ b/src/Pointset_Powerset_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Pointset_Powerset_types_hh
+#define PPL_Pointset_Powerset_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+class Pointset_Powerset;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Pointset_Powerset_types_hh)
diff --git a/src/Poly_Con_Relation.cc b/src/Poly_Con_Relation.cc
index 49fb489..3a8f0f7 100644
--- a/src/Poly_Con_Relation.cc
+++ b/src/Poly_Con_Relation.cc
@@ -1,6 +1,6 @@
/* Poly_Con_Relation class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Poly_Con_Relation.defs.hh"
+#include "Poly_Con_Relation_defs.hh"
#include "assert.hh"
#include <iostream>
#include <string>
diff --git a/src/Poly_Con_Relation.defs.hh b/src/Poly_Con_Relation.defs.hh
deleted file mode 100644
index 97113ae..0000000
--- a/src/Poly_Con_Relation.defs.hh
+++ /dev/null
@@ -1,166 +0,0 @@
-/* Poly_Con_Relation class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Poly_Con_Relation_defs_hh
-#define PPL_Poly_Con_Relation_defs_hh 1
-
-#include "Poly_Con_Relation.types.hh"
-#include "globals.defs.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-// Put them in the namespace here to declare them friend later.
-
-//! True if and only if \p x and \p y are logically equivalent.
-/*! \relates Poly_Con_Relation */
-bool operator==(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
-
-//! True if and only if \p x and \p y are not logically equivalent.
-/*! \relates Poly_Con_Relation */
-bool operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
-
-//! Yields the logical conjunction of \p x and \p y.
-/*! \relates Poly_Con_Relation */
-Poly_Con_Relation operator&&(const Poly_Con_Relation& x,
- const Poly_Con_Relation& y);
-
-/*! \brief
- Yields the assertion with all the conjuncts of \p x
- that are not in \p y.
-
- \relates Poly_Con_Relation
-*/
-Poly_Con_Relation operator-(const Poly_Con_Relation& x,
- const Poly_Con_Relation& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Poly_Con_Relation */
-std::ostream& operator<<(std::ostream& s, const Poly_Con_Relation& r);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! The relation between a polyhedron and a constraint.
-/*! \ingroup PPL_CXX_interface
- This class implements conjunctions of assertions on the relation
- between a polyhedron and a constraint.
-*/
-class Parma_Polyhedra_Library::Poly_Con_Relation {
-private:
- //! Poly_Con_Relation is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bit-masks for the individual assertions
- //@{
- static const flags_t NOTHING = 0U;
- static const flags_t IS_DISJOINT = 1U << 0;
- static const flags_t STRICTLY_INTERSECTS = 1U << 1;
- static const flags_t IS_INCLUDED = 1U << 2;
- static const flags_t SATURATES = 1U << 3;
- //@} // Bit-masks for the individual assertions
-
- //! All assertions together.
- static const flags_t EVERYTHING
- = IS_DISJOINT
- | STRICTLY_INTERSECTS
- | IS_INCLUDED
- | SATURATES;
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! True if and only if the conjunction \p x implies the conjunction \p y.
- static bool implies(flags_t x, flags_t y);
-
- //! Construct from a bit-mask.
- Poly_Con_Relation(flags_t mask);
-
- friend bool
- operator==(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
- friend bool
- operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
-
- friend Poly_Con_Relation
- operator&&(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
-
- friend Poly_Con_Relation
- operator-(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
-
- friend std::ostream&
- Parma_Polyhedra_Library::
- IO_Operators::operator<<(std::ostream& s, const Poly_Con_Relation& r);
-
-public:
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Access the internal flags: this is needed for some language
- interfaces.
- */
-#endif
- flags_t get_flags() const;
-
-public:
- //! The assertion that says nothing.
- static Poly_Con_Relation nothing();
-
- /*! \brief
- The polyhedron and the set of points satisfying
- the constraint are disjoint.
- */
- static Poly_Con_Relation is_disjoint();
-
- /*! \brief
- The polyhedron intersects the set of points satisfying
- the constraint, but it is not included in it.
- */
- static Poly_Con_Relation strictly_intersects();
-
- /*! \brief
- The polyhedron is included in the set of points satisfying
- the constraint.
- */
- static Poly_Con_Relation is_included();
-
- /*! \brief
- The polyhedron is included in the set of points saturating
- the constraint.
- */
- static Poly_Con_Relation saturates();
-
- PPL_OUTPUT_DECLARATIONS
-
- //! True if and only if \p *this implies \p y.
- bool implies(const Poly_Con_Relation& y) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-};
-
-#include "Poly_Con_Relation.inlines.hh"
-
-#endif // !defined(PPL_Poly_Con_Relation_defs_hh)
diff --git a/src/Poly_Con_Relation.inlines.hh b/src/Poly_Con_Relation.inlines.hh
deleted file mode 100644
index 17cbe83..0000000
--- a/src/Poly_Con_Relation.inlines.hh
+++ /dev/null
@@ -1,100 +0,0 @@
-/* Poly_Con_Relation class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Poly_Con_Relation_inlines_hh
-#define PPL_Poly_Con_Relation_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Poly_Con_Relation::Poly_Con_Relation(flags_t mask)
- : flags(mask) {
-}
-
-inline Poly_Con_Relation::flags_t
-Poly_Con_Relation::get_flags() const {
- return flags;
-}
-
-inline Poly_Con_Relation
-Poly_Con_Relation::nothing() {
- return Poly_Con_Relation(NOTHING);
-}
-
-inline Poly_Con_Relation
-Poly_Con_Relation::is_disjoint() {
- return Poly_Con_Relation(IS_DISJOINT);
-}
-
-inline Poly_Con_Relation
-Poly_Con_Relation::strictly_intersects() {
- return Poly_Con_Relation(STRICTLY_INTERSECTS);
-}
-
-inline Poly_Con_Relation
-Poly_Con_Relation::is_included() {
- return Poly_Con_Relation(IS_INCLUDED);
-}
-
-inline Poly_Con_Relation
-Poly_Con_Relation::saturates() {
- return Poly_Con_Relation(SATURATES);
-}
-
-inline bool
-Poly_Con_Relation::implies(flags_t x, flags_t y) {
- return (x & y) == y;
-}
-
-inline bool
-Poly_Con_Relation::implies(const Poly_Con_Relation& y) const {
- return implies(flags, y.flags);
-}
-
-/*! \relates Poly_Con_Relation */
-inline bool
-operator==(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
- return x.flags == y.flags;
-}
-
-/*! \relates Poly_Con_Relation */
-inline bool
-operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
- return x.flags != y.flags;
-}
-
-/*! \relates Poly_Con_Relation */
-inline Poly_Con_Relation
-operator&&(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
- return Poly_Con_Relation(x.flags | y.flags);
-}
-
-/*! \relates Poly_Con_Relation */
-inline Poly_Con_Relation
-operator-(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
- return Poly_Con_Relation(x.flags & ~y.flags);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Poly_Con_Relation_inlines_hh)
diff --git a/src/Poly_Con_Relation.types.hh b/src/Poly_Con_Relation.types.hh
deleted file mode 100644
index 5f33534..0000000
--- a/src/Poly_Con_Relation.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Poly_Con_Relation_types_hh
-#define PPL_Poly_Con_Relation_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Poly_Con_Relation;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Poly_Con_Relation_types_hh)
diff --git a/src/Poly_Con_Relation_defs.hh b/src/Poly_Con_Relation_defs.hh
new file mode 100644
index 0000000..73034ff
--- /dev/null
+++ b/src/Poly_Con_Relation_defs.hh
@@ -0,0 +1,166 @@
+/* Poly_Con_Relation class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Poly_Con_Relation_defs_hh
+#define PPL_Poly_Con_Relation_defs_hh 1
+
+#include "Poly_Con_Relation_types.hh"
+#include "globals_defs.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+// Put them in the namespace here to declare them friend later.
+
+//! True if and only if \p x and \p y are logically equivalent.
+/*! \relates Poly_Con_Relation */
+bool operator==(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
+
+//! True if and only if \p x and \p y are not logically equivalent.
+/*! \relates Poly_Con_Relation */
+bool operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
+
+//! Yields the logical conjunction of \p x and \p y.
+/*! \relates Poly_Con_Relation */
+Poly_Con_Relation operator&&(const Poly_Con_Relation& x,
+ const Poly_Con_Relation& y);
+
+/*! \brief
+ Yields the assertion with all the conjuncts of \p x
+ that are not in \p y.
+
+ \relates Poly_Con_Relation
+*/
+Poly_Con_Relation operator-(const Poly_Con_Relation& x,
+ const Poly_Con_Relation& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Poly_Con_Relation */
+std::ostream& operator<<(std::ostream& s, const Poly_Con_Relation& r);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! The relation between a polyhedron and a constraint.
+/*! \ingroup PPL_CXX_interface
+ This class implements conjunctions of assertions on the relation
+ between a polyhedron and a constraint.
+*/
+class Parma_Polyhedra_Library::Poly_Con_Relation {
+private:
+ //! Poly_Con_Relation is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bit-masks for the individual assertions
+ //@{
+ static const flags_t NOTHING = 0U;
+ static const flags_t IS_DISJOINT = 1U << 0;
+ static const flags_t STRICTLY_INTERSECTS = 1U << 1;
+ static const flags_t IS_INCLUDED = 1U << 2;
+ static const flags_t SATURATES = 1U << 3;
+ //@} // Bit-masks for the individual assertions
+
+ //! All assertions together.
+ static const flags_t EVERYTHING
+ = IS_DISJOINT
+ | STRICTLY_INTERSECTS
+ | IS_INCLUDED
+ | SATURATES;
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! True if and only if the conjunction \p x implies the conjunction \p y.
+ static bool implies(flags_t x, flags_t y);
+
+ //! Construct from a bit-mask.
+ Poly_Con_Relation(flags_t mask);
+
+ friend bool
+ operator==(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
+ friend bool
+ operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
+
+ friend Poly_Con_Relation
+ operator&&(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
+
+ friend Poly_Con_Relation
+ operator-(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::
+ IO_Operators::operator<<(std::ostream& s, const Poly_Con_Relation& r);
+
+public:
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Access the internal flags: this is needed for some language
+ interfaces.
+ */
+#endif
+ flags_t get_flags() const;
+
+public:
+ //! The assertion that says nothing.
+ static Poly_Con_Relation nothing();
+
+ /*! \brief
+ The polyhedron and the set of points satisfying
+ the constraint are disjoint.
+ */
+ static Poly_Con_Relation is_disjoint();
+
+ /*! \brief
+ The polyhedron intersects the set of points satisfying
+ the constraint, but it is not included in it.
+ */
+ static Poly_Con_Relation strictly_intersects();
+
+ /*! \brief
+ The polyhedron is included in the set of points satisfying
+ the constraint.
+ */
+ static Poly_Con_Relation is_included();
+
+ /*! \brief
+ The polyhedron is included in the set of points saturating
+ the constraint.
+ */
+ static Poly_Con_Relation saturates();
+
+ PPL_OUTPUT_DECLARATIONS
+
+ //! True if and only if \p *this implies \p y.
+ bool implies(const Poly_Con_Relation& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+};
+
+#include "Poly_Con_Relation_inlines.hh"
+
+#endif // !defined(PPL_Poly_Con_Relation_defs_hh)
diff --git a/src/Poly_Con_Relation_inlines.hh b/src/Poly_Con_Relation_inlines.hh
new file mode 100644
index 0000000..b9ba49c
--- /dev/null
+++ b/src/Poly_Con_Relation_inlines.hh
@@ -0,0 +1,100 @@
+/* Poly_Con_Relation class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Poly_Con_Relation_inlines_hh
+#define PPL_Poly_Con_Relation_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Poly_Con_Relation::Poly_Con_Relation(flags_t mask)
+ : flags(mask) {
+}
+
+inline Poly_Con_Relation::flags_t
+Poly_Con_Relation::get_flags() const {
+ return flags;
+}
+
+inline Poly_Con_Relation
+Poly_Con_Relation::nothing() {
+ return Poly_Con_Relation(NOTHING);
+}
+
+inline Poly_Con_Relation
+Poly_Con_Relation::is_disjoint() {
+ return Poly_Con_Relation(IS_DISJOINT);
+}
+
+inline Poly_Con_Relation
+Poly_Con_Relation::strictly_intersects() {
+ return Poly_Con_Relation(STRICTLY_INTERSECTS);
+}
+
+inline Poly_Con_Relation
+Poly_Con_Relation::is_included() {
+ return Poly_Con_Relation(IS_INCLUDED);
+}
+
+inline Poly_Con_Relation
+Poly_Con_Relation::saturates() {
+ return Poly_Con_Relation(SATURATES);
+}
+
+inline bool
+Poly_Con_Relation::implies(flags_t x, flags_t y) {
+ return (x & y) == y;
+}
+
+inline bool
+Poly_Con_Relation::implies(const Poly_Con_Relation& y) const {
+ return implies(flags, y.flags);
+}
+
+/*! \relates Poly_Con_Relation */
+inline bool
+operator==(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
+ return x.flags == y.flags;
+}
+
+/*! \relates Poly_Con_Relation */
+inline bool
+operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
+ return x.flags != y.flags;
+}
+
+/*! \relates Poly_Con_Relation */
+inline Poly_Con_Relation
+operator&&(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
+ return Poly_Con_Relation(x.flags | y.flags);
+}
+
+/*! \relates Poly_Con_Relation */
+inline Poly_Con_Relation
+operator-(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
+ return Poly_Con_Relation(x.flags & ~y.flags);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Poly_Con_Relation_inlines_hh)
diff --git a/src/Poly_Con_Relation_types.hh b/src/Poly_Con_Relation_types.hh
new file mode 100644
index 0000000..c20d762
--- /dev/null
+++ b/src/Poly_Con_Relation_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Poly_Con_Relation_types_hh
+#define PPL_Poly_Con_Relation_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Poly_Con_Relation;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Poly_Con_Relation_types_hh)
diff --git a/src/Poly_Gen_Relation.cc b/src/Poly_Gen_Relation.cc
index b259d26..180155e 100644
--- a/src/Poly_Gen_Relation.cc
+++ b/src/Poly_Gen_Relation.cc
@@ -1,6 +1,6 @@
/* Poly_Gen_Relation class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Poly_Gen_Relation.defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
#include "assert.hh"
#include <iostream>
#include <string>
diff --git a/src/Poly_Gen_Relation.defs.hh b/src/Poly_Gen_Relation.defs.hh
deleted file mode 100644
index c193c26..0000000
--- a/src/Poly_Gen_Relation.defs.hh
+++ /dev/null
@@ -1,139 +0,0 @@
-/* Poly_Gen_Relation class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Poly_Gen_Relation_defs_hh
-#define PPL_Poly_Gen_Relation_defs_hh 1
-
-#include "Poly_Gen_Relation.types.hh"
-#include "globals.defs.hh"
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-// Put them in the namespace here to declare them friend later.
-
-//! True if and only if \p x and \p y are logically equivalent.
-/*! \relates Poly_Gen_Relation */
-bool operator==(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
-
-//! True if and only if \p x and \p y are not logically equivalent.
-/*! \relates Poly_Gen_Relation */
-bool operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
-
-//! Yields the logical conjunction of \p x and \p y.
-/*! \relates Poly_Gen_Relation */
-Poly_Gen_Relation operator&&(const Poly_Gen_Relation& x,
- const Poly_Gen_Relation& y);
-
-/*! \brief
- Yields the assertion with all the conjuncts of \p x
- that are not in \p y.
-
- \relates Poly_Gen_Relation
-*/
-Poly_Gen_Relation operator-(const Poly_Gen_Relation& x,
- const Poly_Gen_Relation& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Poly_Gen_Relation */
-std::ostream& operator<<(std::ostream& s, const Poly_Gen_Relation& r);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! The relation between a polyhedron and a generator
-/*! \ingroup PPL_CXX_interface
- This class implements conjunctions of assertions on the relation
- between a polyhedron and a generator.
-*/
-class Parma_Polyhedra_Library::Poly_Gen_Relation {
-private:
- //! Poly_Gen_Relation is implemented by means of a finite bitset.
- typedef unsigned int flags_t;
-
- //! \name Bit-masks for the individual assertions
- //@{
- static const flags_t NOTHING = 0U;
- static const flags_t SUBSUMES = 1U << 0;
- //@} // Bit-masks for the individual assertions
-
- //! All assertions together.
- static const flags_t EVERYTHING
- = SUBSUMES;
-
- //! This holds the current bitset.
- flags_t flags;
-
- //! True if and only if the conjunction \p x implies the conjunction \p y.
- static bool implies(flags_t x, flags_t y);
-
- //! Construct from a bit-mask.
- Poly_Gen_Relation(flags_t mask);
-
- friend bool
- operator==(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
- friend bool
- operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
-
- friend Poly_Gen_Relation
- operator&&(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
-
- friend Poly_Gen_Relation
- operator-(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
-
- friend std::ostream&
- Parma_Polyhedra_Library::
- IO_Operators::operator<<(std::ostream& s, const Poly_Gen_Relation& r);
-
-public:
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Access the internal flags: this is needed for some language
- interfaces.
- */
-#endif
- flags_t get_flags() const;
-
-public:
- //! The assertion that says nothing.
- static Poly_Gen_Relation nothing();
-
- //! Adding the generator would not change the polyhedron.
- static Poly_Gen_Relation subsumes();
-
- PPL_OUTPUT_DECLARATIONS
-
- //! True if and only if \p *this implies \p y.
- bool implies(const Poly_Gen_Relation& y) const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-};
-
-#include "Poly_Gen_Relation.inlines.hh"
-
-#endif // !defined(PPL_Poly_Gen_Relation_defs_hh)
diff --git a/src/Poly_Gen_Relation.inlines.hh b/src/Poly_Gen_Relation.inlines.hh
deleted file mode 100644
index 08e5266..0000000
--- a/src/Poly_Gen_Relation.inlines.hh
+++ /dev/null
@@ -1,85 +0,0 @@
-/* Poly_Gen_Relation class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Poly_Gen_Relation_inlines_hh
-#define PPL_Poly_Gen_Relation_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Poly_Gen_Relation::Poly_Gen_Relation(flags_t mask)
- : flags(mask) {
-}
-
-inline Poly_Gen_Relation::flags_t
-Poly_Gen_Relation::get_flags() const {
- return flags;
-}
-
-inline Poly_Gen_Relation
-Poly_Gen_Relation::nothing() {
- return Poly_Gen_Relation(NOTHING);
-}
-
-inline Poly_Gen_Relation
-Poly_Gen_Relation::subsumes() {
- return Poly_Gen_Relation(SUBSUMES);
-}
-
-inline bool
-Poly_Gen_Relation::implies(flags_t x, flags_t y) {
- return (x & y) == y;
-}
-
-inline bool
-Poly_Gen_Relation::implies(const Poly_Gen_Relation& y) const {
- return implies(flags, y.flags);
-}
-
-/*! \relates Poly_Gen_Relation */
-inline bool
-operator==(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
- return x.flags == y.flags;
-}
-
-/*! \relates Poly_Gen_Relation */
-inline bool
-operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
- return x.flags != y.flags;
-}
-
-/*! \relates Poly_Gen_Relation */
-inline Poly_Gen_Relation
-operator&&(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
- return Poly_Gen_Relation(x.flags | y.flags);
-}
-
-/*! \relates Poly_Gen_Relation */
-inline Poly_Gen_Relation
-operator-(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
- return Poly_Gen_Relation(x.flags & ~y.flags);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Poly_Gen_Relation_inlines_hh)
diff --git a/src/Poly_Gen_Relation.types.hh b/src/Poly_Gen_Relation.types.hh
deleted file mode 100644
index e2f3ae6..0000000
--- a/src/Poly_Gen_Relation.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Poly_Gen_Relation_types_hh
-#define PPL_Poly_Gen_Relation_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Poly_Gen_Relation;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Poly_Gen_Relation_types_hh)
diff --git a/src/Poly_Gen_Relation_defs.hh b/src/Poly_Gen_Relation_defs.hh
new file mode 100644
index 0000000..13e5d00
--- /dev/null
+++ b/src/Poly_Gen_Relation_defs.hh
@@ -0,0 +1,139 @@
+/* Poly_Gen_Relation class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Poly_Gen_Relation_defs_hh
+#define PPL_Poly_Gen_Relation_defs_hh 1
+
+#include "Poly_Gen_Relation_types.hh"
+#include "globals_defs.hh"
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+// Put them in the namespace here to declare them friend later.
+
+//! True if and only if \p x and \p y are logically equivalent.
+/*! \relates Poly_Gen_Relation */
+bool operator==(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
+
+//! True if and only if \p x and \p y are not logically equivalent.
+/*! \relates Poly_Gen_Relation */
+bool operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
+
+//! Yields the logical conjunction of \p x and \p y.
+/*! \relates Poly_Gen_Relation */
+Poly_Gen_Relation operator&&(const Poly_Gen_Relation& x,
+ const Poly_Gen_Relation& y);
+
+/*! \brief
+ Yields the assertion with all the conjuncts of \p x
+ that are not in \p y.
+
+ \relates Poly_Gen_Relation
+*/
+Poly_Gen_Relation operator-(const Poly_Gen_Relation& x,
+ const Poly_Gen_Relation& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Poly_Gen_Relation */
+std::ostream& operator<<(std::ostream& s, const Poly_Gen_Relation& r);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! The relation between a polyhedron and a generator
+/*! \ingroup PPL_CXX_interface
+ This class implements conjunctions of assertions on the relation
+ between a polyhedron and a generator.
+*/
+class Parma_Polyhedra_Library::Poly_Gen_Relation {
+private:
+ //! Poly_Gen_Relation is implemented by means of a finite bitset.
+ typedef unsigned int flags_t;
+
+ //! \name Bit-masks for the individual assertions
+ //@{
+ static const flags_t NOTHING = 0U;
+ static const flags_t SUBSUMES = 1U << 0;
+ //@} // Bit-masks for the individual assertions
+
+ //! All assertions together.
+ static const flags_t EVERYTHING
+ = SUBSUMES;
+
+ //! This holds the current bitset.
+ flags_t flags;
+
+ //! True if and only if the conjunction \p x implies the conjunction \p y.
+ static bool implies(flags_t x, flags_t y);
+
+ //! Construct from a bit-mask.
+ Poly_Gen_Relation(flags_t mask);
+
+ friend bool
+ operator==(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
+ friend bool
+ operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
+
+ friend Poly_Gen_Relation
+ operator&&(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
+
+ friend Poly_Gen_Relation
+ operator-(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::
+ IO_Operators::operator<<(std::ostream& s, const Poly_Gen_Relation& r);
+
+public:
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Access the internal flags: this is needed for some language
+ interfaces.
+ */
+#endif
+ flags_t get_flags() const;
+
+public:
+ //! The assertion that says nothing.
+ static Poly_Gen_Relation nothing();
+
+ //! Adding the generator would not change the polyhedron.
+ static Poly_Gen_Relation subsumes();
+
+ PPL_OUTPUT_DECLARATIONS
+
+ //! True if and only if \p *this implies \p y.
+ bool implies(const Poly_Gen_Relation& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+};
+
+#include "Poly_Gen_Relation_inlines.hh"
+
+#endif // !defined(PPL_Poly_Gen_Relation_defs_hh)
diff --git a/src/Poly_Gen_Relation_inlines.hh b/src/Poly_Gen_Relation_inlines.hh
new file mode 100644
index 0000000..1d6e991
--- /dev/null
+++ b/src/Poly_Gen_Relation_inlines.hh
@@ -0,0 +1,85 @@
+/* Poly_Gen_Relation class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Poly_Gen_Relation_inlines_hh
+#define PPL_Poly_Gen_Relation_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Poly_Gen_Relation::Poly_Gen_Relation(flags_t mask)
+ : flags(mask) {
+}
+
+inline Poly_Gen_Relation::flags_t
+Poly_Gen_Relation::get_flags() const {
+ return flags;
+}
+
+inline Poly_Gen_Relation
+Poly_Gen_Relation::nothing() {
+ return Poly_Gen_Relation(NOTHING);
+}
+
+inline Poly_Gen_Relation
+Poly_Gen_Relation::subsumes() {
+ return Poly_Gen_Relation(SUBSUMES);
+}
+
+inline bool
+Poly_Gen_Relation::implies(flags_t x, flags_t y) {
+ return (x & y) == y;
+}
+
+inline bool
+Poly_Gen_Relation::implies(const Poly_Gen_Relation& y) const {
+ return implies(flags, y.flags);
+}
+
+/*! \relates Poly_Gen_Relation */
+inline bool
+operator==(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
+ return x.flags == y.flags;
+}
+
+/*! \relates Poly_Gen_Relation */
+inline bool
+operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
+ return x.flags != y.flags;
+}
+
+/*! \relates Poly_Gen_Relation */
+inline Poly_Gen_Relation
+operator&&(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
+ return Poly_Gen_Relation(x.flags | y.flags);
+}
+
+/*! \relates Poly_Gen_Relation */
+inline Poly_Gen_Relation
+operator-(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
+ return Poly_Gen_Relation(x.flags & ~y.flags);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Poly_Gen_Relation_inlines_hh)
diff --git a/src/Poly_Gen_Relation_types.hh b/src/Poly_Gen_Relation_types.hh
new file mode 100644
index 0000000..d7f5ec4
--- /dev/null
+++ b/src/Poly_Gen_Relation_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Poly_Gen_Relation_types_hh
+#define PPL_Poly_Gen_Relation_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Poly_Gen_Relation;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Poly_Gen_Relation_types_hh)
diff --git a/src/Polyhedron.defs.hh b/src/Polyhedron.defs.hh
deleted file mode 100644
index 4f8beb7..0000000
--- a/src/Polyhedron.defs.hh
+++ /dev/null
@@ -1,2843 +0,0 @@
-/* Polyhedron class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_defs_hh
-#define PPL_Polyhedron_defs_hh 1
-
-#include "Polyhedron.types.hh"
-#include "globals.types.hh"
-#include "Variable.defs.hh"
-#include "Variables_Set.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint_System.defs.hh"
-#include "Constraint_System.inlines.hh"
-#include "Generator_System.defs.hh"
-#include "Generator_System.inlines.hh"
-#include "Congruence_System.defs.hh"
-#include "Congruence_System.inlines.hh"
-#include "Bit_Matrix.defs.hh"
-#include "Constraint.types.hh"
-#include "Generator.types.hh"
-#include "Congruence.types.hh"
-#include "Poly_Con_Relation.defs.hh"
-#include "Poly_Gen_Relation.defs.hh"
-#include "BHRZ03_Certificate.types.hh"
-#include "H79_Certificate.types.hh"
-#include "Box.types.hh"
-#include "BD_Shape.types.hh"
-#include "Octagonal_Shape.types.hh"
-#include "Interval.types.hh"
-#include "Linear_Form.types.hh"
-#include <vector>
-#include <iosfwd>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*!
- \relates Parma_Polyhedra_Library::Polyhedron
- Writes a textual representation of \p ph on \p s:
- <CODE>false</CODE> is written if \p ph is an empty polyhedron;
- <CODE>true</CODE> is written if \p ph is a universe polyhedron;
- a minimized system of constraints defining \p ph is written otherwise,
- all constraints in one row separated by ", ".
-*/
-std::ostream&
-operator<<(std::ostream& s, const Polyhedron& ph);
-
-} // namespace IO_Operators
-
-//! Swaps \p x with \p y.
-/*! \relates Polyhedron */
-void swap(Polyhedron& x, Polyhedron& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if
- \p x and \p y are the same polyhedron.
-
- \relates Polyhedron
- Note that \p x and \p y may be topology- and/or dimension-incompatible
- polyhedra: in those cases, the value <CODE>false</CODE> is returned.
-*/
-bool operator==(const Polyhedron& x, const Polyhedron& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if
- \p x and \p y are different polyhedra.
-
- \relates Polyhedron
- Note that \p x and \p y may be topology- and/or dimension-incompatible
- polyhedra: in those cases, the value <CODE>true</CODE> is returned.
-*/
-bool operator!=(const Polyhedron& x, const Polyhedron& y);
-
-namespace Interfaces {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Returns \c true if and only if
- <code>ph.topology() == NECESSARILY_CLOSED</code>.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool is_necessarily_closed_for_interfaces(const Polyhedron& ph);
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! The base class for convex polyhedra.
-/*! \ingroup PPL_CXX_interface
- An object of the class Polyhedron represents a convex polyhedron
- in the vector space \f$\Rset^n\f$.
-
- A polyhedron can be specified as either a finite system of constraints
- or a finite system of generators (see Section \ref representation)
- and it is always possible to obtain either representation.
- That is, if we know the system of constraints, we can obtain
- from this the system of generators that define the same polyhedron
- and vice versa.
- These systems can contain redundant members: in this case we say
- that they are not in the minimal form.
-
- Two key attributes of any polyhedron are its topological kind
- (recording whether it is a C_Polyhedron or an NNC_Polyhedron object)
- and its space dimension (the dimension \f$n \in \Nset\f$ of
- the enclosing vector space):
-
- - all polyhedra, the empty ones included, are endowed with
- a specific topology and space dimension;
- - most operations working on a polyhedron and another object
- (i.e., another polyhedron, a constraint or generator,
- a set of variables, etc.) will throw an exception if
- the polyhedron and the object are not both topology-compatible
- and dimension-compatible (see Section \ref representation);
- - the topology of a polyhedron cannot be changed;
- rather, there are constructors for each of the two derived classes
- that will build a new polyhedron with the topology of that class
- from another polyhedron from either class and any topology;
- - the only ways in which the space dimension of a polyhedron can
- be changed are:
- - <EM>explicit</EM> calls to operators provided for that purpose;
- - standard copy, assignment and swap operators.
-
- Note that four different polyhedra can be defined on
- the zero-dimension space:
- the empty polyhedron, either closed or NNC,
- and the universe polyhedron \f$R^0\f$, again either closed or NNC.
-
- \par
- In all the examples it is assumed that variables
- <CODE>x</CODE> and <CODE>y</CODE> are defined (where they are
- used) as follows:
- \code
- Variable x(0);
- Variable y(1);
- \endcode
-
- \par Example 1
- The following code builds a polyhedron corresponding to
- a square in \f$\Rset^2\f$, given as a system of constraints:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x <= 3);
- cs.insert(y >= 0);
- cs.insert(y <= 3);
- C_Polyhedron ph(cs);
- \endcode
- The following code builds the same polyhedron as above,
- but starting from a system of generators specifying
- the four vertices of the square:
- \code
- Generator_System gs;
- gs.insert(point(0*x + 0*y));
- gs.insert(point(0*x + 3*y));
- gs.insert(point(3*x + 0*y));
- gs.insert(point(3*x + 3*y));
- C_Polyhedron ph(gs);
- \endcode
-
- \par Example 2
- The following code builds an unbounded polyhedron
- corresponding to a half-strip in \f$\Rset^2\f$,
- given as a system of constraints:
- \code
- Constraint_System cs;
- cs.insert(x >= 0);
- cs.insert(x - y <= 0);
- cs.insert(x - y + 1 >= 0);
- C_Polyhedron ph(cs);
- \endcode
- The following code builds the same polyhedron as above,
- but starting from the system of generators specifying
- the two vertices of the polyhedron and one ray:
- \code
- Generator_System gs;
- gs.insert(point(0*x + 0*y));
- gs.insert(point(0*x + y));
- gs.insert(ray(x - y));
- C_Polyhedron ph(gs);
- \endcode
-
- \par Example 3
- The following code builds the polyhedron corresponding to
- a half-plane by adding a single constraint
- to the universe polyhedron in \f$\Rset^2\f$:
- \code
- C_Polyhedron ph(2);
- ph.add_constraint(y >= 0);
- \endcode
- The following code builds the same polyhedron as above,
- but starting from the empty polyhedron in the space \f$\Rset^2\f$
- and inserting the appropriate generators
- (a point, a ray and a line).
- \code
- C_Polyhedron ph(2, EMPTY);
- ph.add_generator(point(0*x + 0*y));
- ph.add_generator(ray(y));
- ph.add_generator(line(x));
- \endcode
- Note that, although the above polyhedron has no vertices, we must add
- one point, because otherwise the result of the Minkowski's sum
- would be an empty polyhedron.
- To avoid subtle errors related to the minimization process,
- it is required that the first generator inserted in an empty
- polyhedron is a point (otherwise, an exception is thrown).
-
- \par Example 4
- The following code shows the use of the function
- <CODE>add_space_dimensions_and_embed</CODE>:
- \code
- C_Polyhedron ph(1);
- ph.add_constraint(x == 2);
- ph.add_space_dimensions_and_embed(1);
- \endcode
- We build the universe polyhedron in the 1-dimension space \f$\Rset\f$.
- Then we add a single equality constraint,
- thus obtaining the polyhedron corresponding to the singleton set
- \f$\{ 2 \} \sseq \Rset\f$.
- After the last line of code, the resulting polyhedron is
- \f[
- \bigl\{\,
- (2, y)^\transpose \in \Rset^2
- \bigm|
- y \in \Rset
- \,\bigr\}.
- \f]
-
- \par Example 5
- The following code shows the use of the function
- <CODE>add_space_dimensions_and_project</CODE>:
- \code
- C_Polyhedron ph(1);
- ph.add_constraint(x == 2);
- ph.add_space_dimensions_and_project(1);
- \endcode
- The first two lines of code are the same as in Example 4 for
- <CODE>add_space_dimensions_and_embed</CODE>.
- After the last line of code, the resulting polyhedron is
- the singleton set
- \f$\bigl\{ (2, 0)^\transpose \bigr\} \sseq \Rset^2\f$.
-
- \par Example 6
- The following code shows the use of the function
- <CODE>affine_image</CODE>:
- \code
- C_Polyhedron ph(2, EMPTY);
- ph.add_generator(point(0*x + 0*y));
- ph.add_generator(point(0*x + 3*y));
- ph.add_generator(point(3*x + 0*y));
- ph.add_generator(point(3*x + 3*y));
- Linear_Expression expr = x + 4;
- ph.affine_image(x, expr);
- \endcode
- In this example the starting polyhedron is a square in
- \f$\Rset^2\f$, the considered variable is \f$x\f$ and the affine
- expression is \f$x+4\f$. The resulting polyhedron is the same
- square translated to the right. Moreover, if the affine
- transformation for the same variable \p x is \f$x+y\f$:
- \code
- Linear_Expression expr = x + y;
- \endcode
- the resulting polyhedron is a parallelogram with the height equal to
- the side of the square and the oblique sides parallel to the line
- \f$x-y\f$.
- Instead, if we do not use an invertible transformation for the same
- variable; for example, the affine expression \f$y\f$:
- \code
- Linear_Expression expr = y;
- \endcode
- the resulting polyhedron is a diagonal of the square.
-
- \par Example 7
- The following code shows the use of the function
- <CODE>affine_preimage</CODE>:
- \code
- C_Polyhedron ph(2);
- ph.add_constraint(x >= 0);
- ph.add_constraint(x <= 3);
- ph.add_constraint(y >= 0);
- ph.add_constraint(y <= 3);
- Linear_Expression expr = x + 4;
- ph.affine_preimage(x, expr);
- \endcode
- In this example the starting polyhedron, \p var and the affine
- expression and the denominator are the same as in Example 6,
- while the resulting polyhedron is again the same square,
- but translated to the left.
- Moreover, if the affine transformation for \p x is \f$x+y\f$
- \code
- Linear_Expression expr = x + y;
- \endcode
- the resulting polyhedron is a parallelogram with the height equal to
- the side of the square and the oblique sides parallel to the line
- \f$x+y\f$.
- Instead, if we do not use an invertible transformation for the same
- variable \p x, for example, the affine expression \f$y\f$:
- \code
- Linear_Expression expr = y;
- \endcode
- the resulting polyhedron is a line that corresponds to the \f$y\f$ axis.
-
- \par Example 8
- For this example we use also the variables:
- \code
- Variable z(2);
- Variable w(3);
- \endcode
- The following code shows the use of the function
- <CODE>remove_space_dimensions</CODE>:
- \code
- Generator_System gs;
- gs.insert(point(3*x + y + 0*z + 2*w));
- C_Polyhedron ph(gs);
- Variables_Set vars;
- vars.insert(y);
- vars.insert(z);
- ph.remove_space_dimensions(vars);
- \endcode
- The starting polyhedron is the singleton set
- \f$\bigl\{ (3, 1, 0, 2)^\transpose \bigr\} \sseq \Rset^4\f$, while
- the resulting polyhedron is
- \f$\bigl\{ (3, 2)^\transpose \bigr\} \sseq \Rset^2\f$.
- Be careful when removing space dimensions <EM>incrementally</EM>:
- since dimensions are automatically renamed after each application
- of the <CODE>remove_space_dimensions</CODE> operator, unexpected
- results can be obtained.
- For instance, by using the following code we would obtain
- a different result:
- \code
- set<Variable> vars1;
- vars1.insert(y);
- ph.remove_space_dimensions(vars1);
- set<Variable> vars2;
- vars2.insert(z);
- ph.remove_space_dimensions(vars2);
- \endcode
- In this case, the result is the polyhedron
- \f$\bigl\{(3, 0)^\transpose \bigr\} \sseq \Rset^2\f$:
- when removing the set of dimensions \p vars2
- we are actually removing variable \f$w\f$ of the original polyhedron.
- For the same reason, the operator \p remove_space_dimensions
- is not idempotent: removing twice the same non-empty set of dimensions
- is never the same as removing them just once.
-*/
-
-class Parma_Polyhedra_Library::Polyhedron {
-public:
- //! The numeric type of coefficients.
- typedef Coefficient coefficient_type;
-
- //! Returns the maximum space dimension all kinds of Polyhedron can handle.
- static dimension_type max_space_dimension();
-
- /*! \brief
- Returns \c true indicating that this domain has methods that
- can recycle constraints.
- */
- static bool can_recycle_constraint_systems();
-
- //! Initializes the class.
- static void initialize();
-
- //! Finalizes the class.
- static void finalize();
-
- /*! \brief
- Returns \c false indicating that this domain cannot recycle congruences.
- */
- static bool can_recycle_congruence_systems();
-
-protected:
- //! Builds a polyhedron having the specified properties.
- /*!
- \param topol
- The topology of the polyhedron;
-
- \param num_dimensions
- The number of dimensions of the vector space enclosing the polyhedron;
-
- \param kind
- Specifies whether the universe or the empty polyhedron has to be built.
- */
- Polyhedron(Topology topol,
- dimension_type num_dimensions,
- Degenerate_Element kind);
-
- //! Ordinary copy constructor.
- /*!
- The complexity argument is ignored.
- */
- Polyhedron(const Polyhedron& y,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- //! Builds a polyhedron from a system of constraints.
- /*!
- The polyhedron inherits the space dimension of the constraint system.
-
- \param topol
- The topology of the polyhedron;
-
- \param cs
- The system of constraints defining the polyhedron.
-
- \exception std::invalid_argument
- Thrown if the topology of \p cs is incompatible with \p topol.
- */
- Polyhedron(Topology topol, const Constraint_System& cs);
-
- //! Builds a polyhedron recycling a system of constraints.
- /*!
- The polyhedron inherits the space dimension of the constraint system.
-
- \param topol
- The topology of the polyhedron;
-
- \param cs
- The system of constraints defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the topology of \p cs is incompatible with \p topol.
- */
- Polyhedron(Topology topol, Constraint_System& cs, Recycle_Input dummy);
-
- //! Builds a polyhedron from a system of generators.
- /*!
- The polyhedron inherits the space dimension of the generator system.
-
- \param topol
- The topology of the polyhedron;
-
- \param gs
- The system of generators defining the polyhedron.
-
- \exception std::invalid_argument
- Thrown if the topology of \p gs is incompatible with \p topol,
- or if the system of generators is not empty but has no points.
- */
- Polyhedron(Topology topol, const Generator_System& gs);
-
- //! Builds a polyhedron recycling a system of generators.
- /*!
- The polyhedron inherits the space dimension of the generator system.
-
- \param topol
- The topology of the polyhedron;
-
- \param gs
- The system of generators defining the polyhedron. It is not
- declared <CODE>const</CODE> because its data-structures may be
- recycled to build the polyhedron.
-
- \param dummy
- A dummy tag to syntactically differentiate this one
- from the other constructors.
-
- \exception std::invalid_argument
- Thrown if the topology of \p gs is incompatible with \p topol,
- or if the system of generators is not empty but has no points.
- */
- Polyhedron(Topology topol, Generator_System& gs, Recycle_Input dummy);
-
- //! Builds a polyhedron from a box.
- /*!
- This will use an algorithm whose complexity is polynomial and build
- the smallest polyhedron with topology \p topol containing \p box.
-
- \param topol
- The topology of the polyhedron;
-
- \param box
- The box representing the polyhedron to be built;
-
- \param complexity
- This argument is ignored.
- */
- template <typename Interval>
- Polyhedron(Topology topol, const Box<Interval>& box,
- Complexity_Class complexity = ANY_COMPLEXITY);
-
- /*! \brief
- The assignment operator.
- (\p *this and \p y can be dimension-incompatible.)
- */
- Polyhedron& operator=(const Polyhedron& y);
-
-public:
- //! \name Member Functions that Do Not Modify the Polyhedron
- //@{
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- /*! \brief
- Returns \f$0\f$, if \p *this is empty; otherwise, returns the
- \ref Affine_Independence_and_Affine_Dimension "affine dimension"
- of \p *this.
- */
- dimension_type affine_dimension() const;
-
- //! Returns the system of constraints.
- const Constraint_System& constraints() const;
-
- //! Returns the system of constraints, with no redundant constraint.
- const Constraint_System& minimized_constraints() const;
-
- //! Returns the system of generators.
- const Generator_System& generators() const;
-
- //! Returns the system of generators, with no redundant generator.
- const Generator_System& minimized_generators() const;
-
- //! Returns a system of (equality) congruences satisfied by \p *this.
- Congruence_System congruences() const;
-
- /*! \brief
- Returns a system of (equality) congruences satisfied by \p *this,
- with no redundant congruences and having the same affine dimension
- as \p *this.
- */
- Congruence_System minimized_congruences() const;
-
- /*! \brief
- Returns the relations holding between the polyhedron \p *this
- and the constraint \p c.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Constraint& c) const;
-
- /*! \brief
- Returns the relations holding between the polyhedron \p *this
- and the generator \p g.
-
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are dimension-incompatible.
- */
- Poly_Gen_Relation relation_with(const Generator& g) const;
-
- /*! \brief
- Returns the relations holding between the polyhedron \p *this
- and the congruence \p c.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p c are dimension-incompatible.
- */
- Poly_Con_Relation relation_with(const Congruence& cg) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is
- an empty polyhedron.
- */
- bool is_empty() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a universe polyhedron.
- */
- bool is_universe() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a topologically closed subset of the vector space.
- */
- bool is_topologically_closed() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
- /*!
- \exception std::invalid_argument
- Thrown if \p x and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool is_disjoint_from(const Polyhedron& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
- bool is_discrete() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- is a bounded polyhedron.
- */
- bool is_bounded() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this
- contains at least one integer point.
- */
- bool contains_integer_point() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p var is constrained in
- \p *this.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- bool constrains(Variable var) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from above in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_above(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p expr is
- bounded from below in \p *this.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds_from_below(const Linear_Expression& expr) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value is computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d
- and \p maximum are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from above in \p *this, in which case
- the supremum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be maximized subject to \p *this;
-
- \param sup_n
- The numerator of the supremum value;
-
- \param sup_d
- The denominator of the supremum value;
-
- \param maximum
- <CODE>true</CODE> if and only if the supremum is also the maximum value;
-
- \param g
- When maximization succeeds, will be assigned the point or
- closure point where \p expr reaches its supremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from above,
- <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
- and \p g are left untouched.
- */
- bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value is computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d
- and \p minimum are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is not empty
- and \p expr is bounded from below in \p *this, in which case
- the infimum value and a point where \p expr reaches it are computed.
-
- \param expr
- The linear expression to be minimized subject to \p *this;
-
- \param inf_n
- The numerator of the infimum value;
-
- \param inf_d
- The denominator of the infimum value;
-
- \param minimum
- <CODE>true</CODE> if and only if the infimum is also the minimum value;
-
- \param g
- When minimization succeeds, will be assigned a point or
- closure point where \p expr reaches its infimum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded from below,
- <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
- and \p g are left untouched.
- */
- bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if there exist a
- unique value \p val such that \p *this
- saturates the equality <CODE>expr = val</CODE>.
-
- \param expr
- The linear expression for which the frequency is needed;
-
- \param freq_n
- If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
- Present for interface compatibility with class Grid, where
- the \ref Grid_Frequency "frequency" can have a non-zero value;
-
- \param freq_d
- If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
-
- \param val_n
- The numerator of \p val;
-
- \param val_d
- The denominator of \p val;
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
- \p val_n and \p val_d are left untouched.
- */
- bool frequency(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool contains(const Polyhedron& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
- /*!
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool strictly_contains(const Polyhedron& y) const;
-
- //! Checks if all the invariants are satisfied.
- /*!
- \return
- <CODE>true</CODE> if and only if \p *this satisfies all the
- invariants and either \p check_not_empty is <CODE>false</CODE> or
- \p *this is not empty.
-
- \param check_not_empty
- <CODE>true</CODE> if and only if, in addition to checking the
- invariants, \p *this must be checked to be not empty.
-
- The check is performed so as to intrude as little as possible. If
- the library has been compiled with run-time assertions enabled,
- error messages are written on <CODE>std::cerr</CODE> in case
- invariants are violated. This is useful for the purpose of
- debugging the library.
- */
- bool OK(bool check_not_empty = false) const;
-
- //@} // Member Functions that Do Not Modify the Polyhedron
-
- //! \name Space Dimension Preserving Member Functions that May Modify the Polyhedron
- //@{
-
- /*! \brief
- Adds a copy of constraint \p c to the system of constraints
- of \p *this (without minimizing the result).
-
- \param c
- The constraint that will be added to the system of
- constraints of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are topology-incompatible
- or dimension-incompatible.
- */
- void add_constraint(const Constraint& c);
-
- /*! \brief
- Adds a copy of generator \p g to the system of generators
- of \p *this (without minimizing the result).
-
- \exception std::invalid_argument
- Thrown if \p *this and generator \p g are topology-incompatible or
- dimension-incompatible, or if \p *this is an empty polyhedron and
- \p g is not a point.
- */
- void add_generator(const Generator& g);
-
- /*! \brief
- Adds a copy of congruence \p cg to \p *this,
- if \p cg can be exactly represented by a polyhedron.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible,
- of if \p cg is a proper congruence which is neither a tautology,
- nor a contradiction.
- */
- void add_congruence(const Congruence& cg);
-
- /*! \brief
- Adds a copy of the constraints in \p cs to the system
- of constraints of \p *this (without minimizing the result).
-
- \param cs
- Contains the constraints that will be added to the system of
- constraints of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are topology-incompatible or
- dimension-incompatible.
- */
- void add_constraints(const Constraint_System& cs);
-
- /*! \brief
- Adds the constraints in \p cs to the system of constraints
- of \p *this (without minimizing the result).
-
- \param cs
- The constraint system to be added to \p *this. The constraints in
- \p cs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are topology-incompatible or
- dimension-incompatible.
-
- \warning
- The only assumption that can be made on \p cs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_constraints(Constraint_System& cs);
-
- /*! \brief
- Adds a copy of the generators in \p gs to the system
- of generators of \p *this (without minimizing the result).
-
- \param gs
- Contains the generators that will be added to the system of
- generators of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p gs are topology-incompatible or
- dimension-incompatible, or if \p *this is empty and the system of
- generators \p gs is not empty, but has no points.
- */
- void add_generators(const Generator_System& gs);
-
- /*! \brief
- Adds the generators in \p gs to the system of generators
- of \p *this (without minimizing the result).
-
- \param gs
- The generator system to be added to \p *this. The generators in
- \p gs may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p gs are topology-incompatible or
- dimension-incompatible, or if \p *this is empty and the system of
- generators \p gs is not empty, but has no points.
-
- \warning
- The only assumption that can be made on \p gs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_generators(Generator_System& gs);
-
- /*! \brief
- Adds a copy of the congruences in \p cgs to \p *this,
- if all the congruences can be exactly represented by a polyhedron.
-
- \param cgs
- The congruences to be added.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- of if there exists in \p cgs a proper congruence which is
- neither a tautology, nor a contradiction.
- */
- void add_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Adds the congruences in \p cgs to \p *this,
- if all the congruences can be exactly represented by a polyhedron.
-
- \param cgs
- The congruences to be added. Its elements may be recycled.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible,
- of if there exists in \p cgs a proper congruence which is
- neither a tautology, nor a contradiction
-
- \warning
- The only assumption that can be made on \p cgs upon successful or
- exceptional return is that it can be safely destroyed.
- */
- void add_recycled_congruences(Congruence_System& cgs);
-
- /*! \brief
- Uses a copy of constraint \p c to refine \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and constraint \p c are dimension-incompatible.
- */
- void refine_with_constraint(const Constraint& c);
-
- /*! \brief
- Uses a copy of congruence \p cg to refine \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and congruence \p cg are dimension-incompatible.
- */
- void refine_with_congruence(const Congruence& cg);
-
- /*! \brief
- Uses a copy of the constraints in \p cs to refine \p *this.
-
- \param cs
- Contains the constraints used to refine the system of
- constraints of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cs are dimension-incompatible.
- */
- void refine_with_constraints(const Constraint_System& cs);
-
- /*! \brief
- Uses a copy of the congruences in \p cgs to refine \p *this.
-
- \param cgs
- Contains the congruences used to refine the system of
- constraints of \p *this.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p cgs are dimension-incompatible.
- */
- void refine_with_congruences(const Congruence_System& cgs);
-
- /*! \brief
- Refines \p *this with the constraint expressed by \p left \f$<\f$
- \p right if \p is_strict is set, with the constraint \p left \f$\leq\f$
- \p right otherwise.
-
- \param left
- The linear form on intervals with floating point boundaries that
- is on the left of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param right
- The linear form on intervals with floating point boundaries that
- is on the right of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param is_strict
- True if the comparison is strict.
-
- \exception std::invalid_argument
- Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
-
- This function is used in abstract interpretation to model a filter
- that is generated by a comparison of two expressions that are correctly
- approximated by \p left and \p right respectively.
- */
- template <typename FP_Format, typename Interval_Info>
- void refine_with_linear_form_inequality(
- const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
- const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
- bool is_strict = false);
-
- /*! \brief
- Refines \p *this with the constraint expressed by \p left \f$\relsym\f$
- \p right, where \f$\relsym\f$ is the relation symbol specified by
- \p relsym..
-
- \param left
- The linear form on intervals with floating point boundaries that
- is on the left of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param right
- The linear form on intervals with floating point boundaries that
- is on the right of the comparison operator. All of its coefficients
- MUST be bounded.
-
- \param relsym
- The relation symbol.
-
- \exception std::invalid_argument
- Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
-
- \exception std::runtime_error
- Thrown if \p relsym is not a valid relation symbol.
-
- This function is used in abstract interpretation to model a filter
- that is generated by a comparison of two expressions that are correctly
- approximated by \p left and \p right respectively.
- */
- template <typename FP_Format, typename Interval_Info>
- void generalized_refine_with_linear_form_inequality(
- const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
- const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
- Relation_Symbol relsym);
-
- //! Refines \p store with the constraints defining \p *this.
- /*!
- \param store
- The interval floating point abstract store to refine.
- */
- template <typename FP_Format, typename Interval_Info>
- void refine_fp_interval_abstract_store(
- Box< Interval<FP_Format, Interval_Info> >& store)
- const;
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to space dimension \p var, assigning the result to \p *this.
-
- \param var
- The space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p var is not a space dimension of \p *this.
- */
- void unconstrain(Variable var);
-
- /*! \brief
- Computes the \ref Cylindrification "cylindrification" of \p *this with
- respect to the set of space dimensions \p vars,
- assigning the result to \p *this.
-
- \param vars
- The set of space dimension that will be unconstrained.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void unconstrain(const Variables_Set& vars);
-
- /*! \brief
- Assigns to \p *this the intersection of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- void intersection_assign(const Polyhedron& y);
-
- /*! \brief
- Assigns to \p *this the poly-hull of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- void poly_hull_assign(const Polyhedron& y);
-
- //! Same as poly_hull_assign(y).
- void upper_bound_assign(const Polyhedron& y);
-
- /*! \brief
- Assigns to \p *this
- the \ref Convex_Polyhedral_Difference "poly-difference"
- of \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- void poly_difference_assign(const Polyhedron& y);
-
- //! Same as poly_difference_assign(y).
- void difference_assign(const Polyhedron& y);
-
- /*! \brief
- Assigns to \p *this a \ref Meet_Preserving_Simplification
- "meet-preserving simplification" of \p *this with respect to \p y.
- If \c false is returned, then the intersection is empty.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- bool simplify_using_context_assign(const Polyhedron& y);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine image"
- of \p *this under the function mapping variable \p var to the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is assigned;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of
- \p *this.
-
- \if Include_Implementation_Details
-
- When considering the generators of a polyhedron, the
- affine transformation
- \f[
- \frac{\sum_{i=0}^{n-1} a_i x_i + b}{\mathrm{denominator}}
- \f]
- is assigned to \p var where \p expr is
- \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
- (\f$b\f$ is the inhomogeneous term).
-
- If constraints are up-to-date, it uses the specialized function
- affine_preimage() (for the system of constraints)
- and inverse transformation to reach the same result.
- To obtain the inverse transformation we use the following observation.
-
- Observation:
- -# The affine transformation is invertible if the coefficient
- of \p var in this transformation (i.e., \f$a_\mathrm{var}\f$)
- is different from zero.
- -# If the transformation is invertible, then we can write
- \f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
- = a_\mathrm{var} x_\mathrm{var}
- + \sum_{i \neq var} a_i x_i + b,
- \f]
- so that the inverse transformation is
- \f[
- a_\mathrm{var} x_\mathrm{var}
- = \mathrm{denominator} * {x'}_\mathrm{var}
- - \sum_{i \neq j} a_i x_i - b.
- \f]
-
- Then, if the transformation is invertible, all the entities that
- were up-to-date remain up-to-date. Otherwise only generators remain
- up-to-date.
-
- In other words, if \f$R\f$ is a \f$m_1 \times n\f$ matrix representing
- the rays of the polyhedron, \f$V\f$ is a \f$m_2 \times n\f$
- matrix representing the points of the polyhedron and
- \f[
- P = \bigl\{\,
- \vect{x} = (x_0, \ldots, x_{n-1})^\mathrm{T}
- \bigm|
- \vect{x} = \vect{\lambda} R + \vect{\mu} V,
- \vect{\lambda} \in \Rset^{m_1}_+,
- \vect{\mu} \in \Rset^{m_2}_+,
- \sum_{i = 0}^{m_2 - 1} \mu_i = 1
- \,\bigr\}
- \f]
- and \f$T\f$ is the affine transformation to apply to \f$P\f$, then
- the resulting polyhedron is
- \f[
- P' = \bigl\{\,
- (x_0, \ldots, T(x_0, \ldots, x_{n-1}),
- \ldots, x_{n-1})^\mathrm{T}
- \bigm|
- (x_0, \ldots, x_{n-1})^\mathrm{T} \in P
- \,\bigr\}.
- \f]
-
- Affine transformations are, for example:
- - translations
- - rotations
- - symmetries.
- \endif
- */
- void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- // FIXME: To be completed.
- /*!
- Assigns to \p *this the
- \ref affine_form_relation "affine form image"
- of \p *this under the function mapping variable \p var into the
- affine expression(s) specified by \p lf.
-
- \param var
- The variable to which the affine expression is assigned.
-
- \param lf
- The linear form on intervals with floating point boundaries that
- defines the affine expression(s). ALL of its coefficients MUST be bounded.
-
- \exception std::invalid_argument
- Thrown if \p lf and \p *this are dimension-incompatible or if \p var is
- not a space dimension of \p *this.
-
- This function is used in abstract interpretation to model an assignment
- of a value that is correctly overapproximated by \p lf to the
- floating point variable represented by \p var.
- */
- template <typename FP_Format, typename Interval_Info>
- void affine_form_image(Variable var,
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf);
-
- /*! \brief
- Assigns to \p *this the
- \ref Single_Update_Affine_Functions "affine preimage"
- of \p *this under the function mapping variable \p var to the
- affine expression specified by \p expr and \p denominator.
-
- \param var
- The variable to which the affine expression is substituted;
-
- \param expr
- The numerator of the affine expression;
-
- \param denominator
- The denominator of the affine expression (optional argument with
- default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this.
-
- \if Include_Implementation_Details
-
- When considering constraints of a polyhedron, the affine transformation
- \f[
- \frac{\sum_{i=0}^{n-1} a_i x_i + b}{denominator},
- \f]
- is assigned to \p var where \p expr is
- \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
- (\f$b\f$ is the inhomogeneous term).
-
- If generators are up-to-date, then the specialized function
- affine_image() is used (for the system of generators)
- and inverse transformation to reach the same result.
- To obtain the inverse transformation, we use the following observation.
-
- Observation:
- -# The affine transformation is invertible if the coefficient
- of \p var in this transformation (i.e. \f$a_\mathrm{var}\f$)
- is different from zero.
- -# If the transformation is invertible, then we can write
- \f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
- = a_\mathrm{var} x_\mathrm{var}
- + \sum_{i \neq \mathrm{var}} a_i x_i + b,
- \f],
- the inverse transformation is
- \f[
- a_\mathrm{var} x_\mathrm{var}
- = \mathrm{denominator} * {x'}_\mathrm{var}
- - \sum_{i \neq j} a_i x_i - b.
- \f].
-
- Then, if the transformation is invertible, all the entities that
- were up-to-date remain up-to-date. Otherwise only constraints remain
- up-to-date.
-
- In other words, if \f$A\f$ is a \f$m \times n\f$ matrix representing
- the constraints of the polyhedron, \f$T\f$ is the affine transformation
- to apply to \f$P\f$ and
- \f[
- P = \bigl\{\,
- \vect{x} = (x_0, \ldots, x_{n-1})^\mathrm{T}
- \bigm|
- A\vect{x} \geq \vect{0}
- \,\bigr\}.
- \f]
- The resulting polyhedron is
- \f[
- P' = \bigl\{\,
- \vect{x} = (x_0, \ldots, x_{n-1}))^\mathrm{T}
- \bigm|
- A'\vect{x} \geq \vect{0}
- \,\bigr\},
- \f]
- where \f$A'\f$ is defined as follows:
- \f[
- {a'}_{ij}
- = \begin{cases}
- a_{ij} * \mathrm{denominator} + a_{i\mathrm{var}}*\mathrm{expr}[j]
- \quad \mathrm{for } j \neq \mathrm{var}; \\
- \mathrm{expr}[\mathrm{var}] * a_{i\mathrm{var}},
- \quad \text{for } j = \mathrm{var}.
- \end{cases}
- \f]
- \endif
- */
- void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
- where \f$\mathord{\relsym}\f$ is the relation symbol encoded
- by \p relsym.
-
- \param var
- The left hand side variable of the generalized affine relation;
-
- \param relsym
- The relation symbol;
-
- \param expr
- The numerator of the right hand side affine expression;
-
- \param denominator
- The denominator of the right hand side affine expression (optional
- argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p expr and \p *this are
- dimension-incompatible or if \p var is not a space dimension of \p *this
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void
- generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*! \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Generalized_Affine_Relations "generalized affine relation"
- \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
- \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
-
- \param lhs
- The left hand side affine expression;
-
- \param relsym
- The relation symbol;
-
- \param rhs
- The right hand side affine expression.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
- or if \p *this is a C_Polyhedron and \p relsym is a strict
- relation symbol.
- */
- void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
-
- /*!
- \brief
- Assigns to \p *this the image of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*!
- \brief
- Assigns to \p *this the preimage of \p *this with respect to the
- \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
- \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
- \leq \mathrm{var}'
- \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
-
- \param var
- The variable updated by the affine relation;
-
- \param lb_expr
- The numerator of the lower bounding affine expression;
-
- \param ub_expr
- The numerator of the upper bounding affine expression;
-
- \param denominator
- The (common) denominator for the lower and upper bounding
- affine expressions (optional argument with default value 1).
-
- \exception std::invalid_argument
- Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
- and \p *this are dimension-incompatible or if \p var is not a space
- dimension of \p *this.
- */
- void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- void time_elapse_assign(const Polyhedron& y);
-
- /*! \brief
- \ref Wrapping_Operator "Wraps" the specified dimensions of the
- vector space.
-
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be wrapped.
-
- \param w
- The width of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param r
- The representation of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param o
- The overflow behavior of the bounded integer type corresponding to
- all the dimensions to be wrapped.
-
- \param cs_p
- Possibly null pointer to a constraint system whose variables
- are contained in \p vars. If <CODE>*cs_p</CODE> depends on
- variables not in \p vars, the behavior is undefined.
- When non-null, the pointed-to constraint system is assumed to
- represent the conditional or looping construct guard with respect
- to which wrapping is performed. Since wrapping requires the
- computation of upper bounds and due to non-distributivity of
- constraint refinement over upper bounds, passing a constraint
- system in this way can be more precise than refining the result of
- the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
-
- \param complexity_threshold
- A precision parameter of the \ref Wrapping_Operator "wrapping operator":
- higher values result in possibly improved precision.
-
- \param wrap_individually
- <CODE>true</CODE> if the dimensions should be wrapped individually
- (something that results in much greater efficiency to the detriment of
- precision).
-
- \exception std::invalid_argument
- Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
- \p vars, or if \p *this is dimension-incompatible \p vars or with
- <CODE>*cs_p</CODE>.
- */
- void wrap_assign(const Variables_Set& vars,
- Bounded_Integer_Type_Width w,
- Bounded_Integer_Type_Representation r,
- Bounded_Integer_Type_Overflow o,
- const Constraint_System* cs_p = 0,
- unsigned complexity_threshold = 16,
- bool wrap_individually = true);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p vars.
-
- \param vars
- Points with non-integer coordinates for these variables/space-dimensions
- can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity
- = ANY_COMPLEXITY);
-
- //! Assigns to \p *this its topological closure.
- void topological_closure_assign();
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref BHRZ03_widening "BHRZ03-widening" between \p *this and \p y.
-
- \param y
- A polyhedron that <EM>must</EM> be contained in \p *this;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- void BHRZ03_widening_assign(const Polyhedron& y, unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref limited_extrapolation "limited extrapolation"
- between \p *this and \p y using the \ref BHRZ03_widening
- "BHRZ03-widening" operator.
-
- \param y
- A polyhedron that <EM>must</EM> be contained in \p *this;
-
- \param cs
- The system of constraints used to improve the widened polyhedron;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are topology-incompatible or
- dimension-incompatible.
- */
- void limited_BHRZ03_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref bounded_extrapolation "bounded extrapolation"
- between \p *this and \p y using the \ref BHRZ03_widening
- "BHRZ03-widening" operator.
-
- \param y
- A polyhedron that <EM>must</EM> be contained in \p *this;
-
- \param cs
- The system of constraints used to improve the widened polyhedron;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are topology-incompatible or
- dimension-incompatible.
- */
- void bounded_BHRZ03_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref H79_widening "H79_widening" between \p *this and \p y.
-
- \param y
- A polyhedron that <EM>must</EM> be contained in \p *this;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible or
- dimension-incompatible.
- */
- void H79_widening_assign(const Polyhedron& y, unsigned* tp = 0);
-
- //! Same as H79_widening_assign(y, tp).
- void widening_assign(const Polyhedron& y, unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref limited_extrapolation "limited extrapolation"
- between \p *this and \p y using the \ref H79_widening
- "H79-widening" operator.
-
- \param y
- A polyhedron that <EM>must</EM> be contained in \p *this;
-
- \param cs
- The system of constraints used to improve the widened polyhedron;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are topology-incompatible or
- dimension-incompatible.
- */
- void limited_H79_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- /*! \brief
- Assigns to \p *this the result of computing the
- \ref bounded_extrapolation "bounded extrapolation"
- between \p *this and \p y using the \ref H79_widening
- "H79-widening" operator.
-
- \param y
- A polyhedron that <EM>must</EM> be contained in \p *this;
-
- \param cs
- The system of constraints used to improve the widened polyhedron;
-
- \param tp
- An optional pointer to an unsigned variable storing the number of
- available tokens (to be used when applying the
- \ref Widening_with_Tokens "widening with tokens" delay technique).
-
- \exception std::invalid_argument
- Thrown if \p *this, \p y and \p cs are topology-incompatible or
- dimension-incompatible.
- */
- void bounded_H79_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
-
- //@} // Space Dimension Preserving Member Functions that May Modify [...]
-
- //! \name Member Functions that May Modify the Dimension of the Vector Space
- //@{
-
- /*! \brief
- Adds \p m new space dimensions and embeds the old polyhedron
- in the new vector space.
-
- \param m
- The number of dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- The new space dimensions will be those having the highest indexes
- in the new polyhedron, which is characterized by a system
- of constraints in which the variables running through
- the new dimensions are not constrained.
- For instance, when starting from the polyhedron \f$\cP \sseq \Rset^2\f$
- and adding a third space dimension, the result will be the polyhedron
- \f[
- \bigl\{\,
- (x, y, z)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cP
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_embed(dimension_type m);
-
- /*! \brief
- Adds \p m new space dimensions to the polyhedron
- and does not embed it in the new vector space.
-
- \param m
- The number of space dimensions to add.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- The new space dimensions will be those having the highest indexes
- in the new polyhedron, which is characterized by a system
- of constraints in which the variables running through
- the new dimensions are all constrained to be equal to 0.
- For instance, when starting from the polyhedron \f$\cP \sseq \Rset^2\f$
- and adding a third space dimension, the result will be the polyhedron
- \f[
- \bigl\{\,
- (x, y, 0)^\transpose \in \Rset^3
- \bigm|
- (x, y)^\transpose \in \cP
- \,\bigr\}.
- \f]
- */
- void add_space_dimensions_and_project(dimension_type m);
-
- /*! \brief
- Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
- of \p *this and \p y, taken in this order.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are topology-incompatible.
-
- \exception std::length_error
- Thrown if the concatenation would cause the vector space
- to exceed dimension <CODE>max_space_dimension()</CODE>.
- */
- void concatenate_assign(const Polyhedron& y);
-
- //! Removes all the specified dimensions from the vector space.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be removed.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with one of the
- Variable objects contained in \p vars.
- */
- void remove_space_dimensions(const Variables_Set& vars);
-
- /*! \brief
- Removes the higher dimensions of the vector space so that
- the resulting space will have dimension \p new_dimension.
-
- \exception std::invalid_argument
- Thrown if \p new_dimensions is greater than the space dimension of
- \p *this.
- */
- void remove_higher_space_dimensions(dimension_type new_dimension);
-
- /*! \brief
- Remaps the dimensions of the vector space according to
- a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
-
- \param pfunc
- The partial function specifying the destiny of each space dimension.
-
- The template type parameter Partial_Function must provide
- the following methods.
- \code
- bool has_empty_codomain() const
- \endcode
- returns <CODE>true</CODE> if and only if the represented partial
- function has an empty codomain (i.e., it is always undefined).
- The <CODE>has_empty_codomain()</CODE> method will always be called
- before the methods below. However, if
- <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
- of the functions below will be called.
- \code
- dimension_type max_in_codomain() const
- \endcode
- returns the maximum value that belongs to the codomain
- of the partial function.
- The <CODE>max_in_codomain()</CODE> method is called at most once.
- \code
- bool maps(dimension_type i, dimension_type& j) const
- \endcode
- Let \f$f\f$ be the represented function and \f$k\f$ be the value
- of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
- assigned to \p j and <CODE>true</CODE> is returned.
- If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
- returned.
- This method is called at most \f$n\f$ times, where \f$n\f$ is the
- dimension of the vector space enclosing the polyhedron.
-
- The result is undefined if \p pfunc does not encode a partial
- function with the properties described in the
- \ref Mapping_the_Dimensions_of_the_Vector_Space
- "specification of the mapping operator".
- */
- template <typename Partial_Function>
- void map_space_dimensions(const Partial_Function& pfunc);
-
- //! Creates \p m copies of the space dimension corresponding to \p var.
- /*!
- \param var
- The variable corresponding to the space dimension to be replicated;
-
- \param m
- The number of replicas to be created.
-
- \exception std::invalid_argument
- Thrown if \p var does not correspond to a dimension of the vector space.
-
- \exception std::length_error
- Thrown if adding \p m new space dimensions would cause the
- vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
- then the \f$k\f$-th space dimension is
- \ref expand_space_dimension "expanded" to \p m new space dimensions
- \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
- */
- void expand_space_dimension(Variable var, dimension_type m);
-
- //! Folds the space dimensions in \p vars into \p dest.
- /*!
- \param vars
- The set of Variable objects corresponding to the space dimensions
- to be folded;
-
- \param dest
- The variable corresponding to the space dimension that is the
- destination of the folding operation.
-
- \exception std::invalid_argument
- Thrown if \p *this is dimension-incompatible with \p dest or with
- one of the Variable objects contained in \p vars.
- Also thrown if \p dest is contained in \p vars.
-
- If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
- <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
- \p vars is a set of variables whose maximum space dimension
- is also less than or equal to \f$n\f$, and \p dest is not a member
- of \p vars, then the space dimensions corresponding to
- variables in \p vars are \ref fold_space_dimensions "folded"
- into the \f$k\f$-th space dimension.
- */
- void fold_space_dimensions(const Variables_Set& vars, Variable dest);
-
- //@} // Member Functions that May Modify the Dimension of the Vector Space
-
- friend bool operator==(const Polyhedron& x, const Polyhedron& y);
-
- //! \name Miscellaneous Member Functions
- //@{
-
- //! Destructor.
- ~Polyhedron();
-
- /*! \brief
- Swaps \p *this with polyhedron \p y.
- (\p *this and \p y can be dimension-incompatible.)
-
- \exception std::invalid_argument
- Thrown if \p x and \p y are topology-incompatible.
- */
- void m_swap(Polyhedron& y);
-
- PPL_OUTPUT_DECLARATIONS
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- /*! \brief
- Returns a 32-bit hash code for \p *this.
-
- If \p x and \p y are such that <CODE>x == y</CODE>,
- then <CODE>x.hash_code() == y.hash_code()</CODE>.
- */
- int32_t hash_code() const;
-
- //@} // Miscellaneous Member Functions
-
-private:
- static const Representation default_con_sys_repr = DENSE;
- static const Representation default_gen_sys_repr = DENSE;
-
- //! The system of constraints.
- Constraint_System con_sys;
-
- //! The system of generators.
- Generator_System gen_sys;
-
- //! The saturation matrix having constraints on its columns.
- Bit_Matrix sat_c;
-
- //! The saturation matrix having generators on its columns.
- Bit_Matrix sat_g;
-
-#define PPL_IN_Polyhedron_CLASS
-#include "Ph_Status.idefs.hh"
-#undef PPL_IN_Polyhedron_CLASS
-
- //! The status flags to keep track of the polyhedron's internal state.
- Status status;
-
- //! The number of dimensions of the enclosing vector space.
- dimension_type space_dim;
-
- //! Returns the topological kind of the polyhedron.
- Topology topology() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if the polyhedron
- is necessarily closed.
- */
- bool is_necessarily_closed() const;
-
- friend bool
- Parma_Polyhedra_Library::Interfaces
- ::is_necessarily_closed_for_interfaces(const Polyhedron&);
-
- /*! \brief
- Uses a copy of constraint \p c to refine the system of constraints
- of \p *this.
-
- \param c The constraint to be added. If it is dimension-incompatible
- with \p *this, the behavior is undefined.
- */
- void refine_no_check(const Constraint& c);
-
- //! \name Private Verifiers: Verify if Individual Flags are Set
- //@{
-
- //! Returns <CODE>true</CODE> if the polyhedron is known to be empty.
- /*!
- The return value <CODE>false</CODE> does not necessarily
- implies that \p *this is non-empty.
- */
- bool marked_empty() const;
-
- //! Returns <CODE>true</CODE> if the system of constraints is up-to-date.
- bool constraints_are_up_to_date() const;
-
- //! Returns <CODE>true</CODE> if the system of generators is up-to-date.
- bool generators_are_up_to_date() const;
-
- //! Returns <CODE>true</CODE> if the system of constraints is minimized.
- /*!
- Note that only \em weak minimization is entailed, so that
- an NNC polyhedron may still have \f$\epsilon\f$-redundant constraints.
- */
- bool constraints_are_minimized() const;
-
- //! Returns <CODE>true</CODE> if the system of generators is minimized.
- /*!
- Note that only \em weak minimization is entailed, so that
- an NNC polyhedron may still have \f$\epsilon\f$-redundant generators.
- */
- bool generators_are_minimized() const;
-
- //! Returns <CODE>true</CODE> if there are pending constraints.
- bool has_pending_constraints() const;
-
- //! Returns <CODE>true</CODE> if there are pending generators.
- bool has_pending_generators() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if there are
- either pending constraints or pending generators.
- */
- bool has_something_pending() const;
-
- //! Returns <CODE>true</CODE> if the polyhedron can have something pending.
- bool can_have_something_pending() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the saturation matrix \p sat_c
- is up-to-date.
- */
- bool sat_c_is_up_to_date() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the saturation matrix \p sat_g
- is up-to-date.
- */
- bool sat_g_is_up_to_date() const;
-
- //@} // Private Verifiers: Verify if Individual Flags are Set
-
- //! \name State Flag Setters: Set Only the Specified Flags
- //@{
-
- /*! \brief
- Sets \p status to express that the polyhedron is the universe
- 0-dimension vector space, clearing all corresponding matrices.
- */
- void set_zero_dim_univ();
-
- /*! \brief
- Sets \p status to express that the polyhedron is empty,
- clearing all corresponding matrices.
- */
- void set_empty();
-
- //! Sets \p status to express that constraints are up-to-date.
- void set_constraints_up_to_date();
-
- //! Sets \p status to express that generators are up-to-date.
- void set_generators_up_to_date();
-
- //! Sets \p status to express that constraints are minimized.
- void set_constraints_minimized();
-
- //! Sets \p status to express that generators are minimized.
- void set_generators_minimized();
-
- //! Sets \p status to express that constraints are pending.
- void set_constraints_pending();
-
- //! Sets \p status to express that generators are pending.
- void set_generators_pending();
-
- //! Sets \p status to express that \p sat_c is up-to-date.
- void set_sat_c_up_to_date();
-
- //! Sets \p status to express that \p sat_g is up-to-date.
- void set_sat_g_up_to_date();
-
- //@} // State Flag Setters: Set Only the Specified Flags
-
- //! \name State Flag Cleaners: Clear Only the Specified Flag
- //@{
-
- //! Clears the \p status flag indicating that the polyhedron is empty.
- void clear_empty();
-
- //! Sets \p status to express that constraints are no longer up-to-date.
- /*!
- This also implies that they are neither minimized
- and both saturation matrices are no longer meaningful.
- */
- void clear_constraints_up_to_date();
-
- //! Sets \p status to express that generators are no longer up-to-date.
- /*!
- This also implies that they are neither minimized
- and both saturation matrices are no longer meaningful.
- */
- void clear_generators_up_to_date();
-
- //! Sets \p status to express that constraints are no longer minimized.
- void clear_constraints_minimized();
-
- //! Sets \p status to express that generators are no longer minimized.
- void clear_generators_minimized();
-
- //! Sets \p status to express that there are no longer pending constraints.
- void clear_pending_constraints();
-
- //! Sets \p status to express that there are no longer pending generators.
- void clear_pending_generators();
-
- //! Sets \p status to express that \p sat_c is no longer up-to-date.
- void clear_sat_c_up_to_date();
-
- //! Sets \p status to express that \p sat_g is no longer up-to-date.
- void clear_sat_g_up_to_date();
-
- //@} // State Flag Cleaners: Clear Only the Specified Flag
-
- //! \name The Handling of Pending Rows
- //@{
-
- /*! \brief
- Processes the pending rows of either description of the polyhedron
- and obtains a minimized polyhedron.
-
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
-
- It is assumed that the polyhedron does have some constraints or
- generators pending.
- */
- bool process_pending() const;
-
- //! Processes the pending constraints and obtains a minimized polyhedron.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
-
- It is assumed that the polyhedron does have some pending constraints.
- */
- bool process_pending_constraints() const;
-
- //! Processes the pending generators and obtains a minimized polyhedron.
- /*!
- It is assumed that the polyhedron does have some pending generators.
- */
- void process_pending_generators() const;
-
- /*! \brief
- Lazily integrates the pending descriptions of the polyhedron
- to obtain a constraint system without pending rows.
-
- It is assumed that the polyhedron does have some constraints or
- generators pending.
- */
- void remove_pending_to_obtain_constraints() const;
-
- /*! \brief
- Lazily integrates the pending descriptions of the polyhedron
- to obtain a generator system without pending rows.
-
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
-
- It is assumed that the polyhedron does have some constraints or
- generators pending.
- */
- bool remove_pending_to_obtain_generators() const;
-
- //@} // The Handling of Pending Rows
-
- //! \name Updating and Sorting Matrices
- //@{
-
- //! Updates constraints starting from generators and minimizes them.
- /*!
- The resulting system of constraints is only partially sorted:
- the equalities are in the upper part of the matrix,
- while the inequalities in the lower part.
- */
- void update_constraints() const;
-
- //! Updates generators starting from constraints and minimizes them.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
-
- The resulting system of generators is only partially sorted:
- the lines are in the upper part of the matrix,
- while rays and points are in the lower part.
- It is illegal to call this method when the Status field
- already declares the polyhedron to be empty.
- */
- bool update_generators() const;
-
- //! Updates \p sat_c using the updated constraints and generators.
- /*!
- It is assumed that constraints and generators are up-to-date
- and minimized and that the Status field does not already flag
- \p sat_c to be up-to-date.
- The values of the saturation matrix are computed as follows:
- \f[
- \begin{cases}
- sat\_c[i][j] = 0,
- \quad \text{if } G[i] \cdot C^\mathrm{T}[j] = 0; \\
- sat\_c[i][j] = 1,
- \quad \text{if } G[i] \cdot C^\mathrm{T}[j] > 0.
- \end{cases}
- \f]
- */
- void update_sat_c() const;
-
- //! Updates \p sat_g using the updated constraints and generators.
- /*!
- It is assumed that constraints and generators are up-to-date
- and minimized and that the Status field does not already flag
- \p sat_g to be up-to-date.
- The values of the saturation matrix are computed as follows:
- \f[
- \begin{cases}
- sat\_g[i][j] = 0,
- \quad \text{if } C[i] \cdot G^\mathrm{T}[j] = 0; \\
- sat\_g[i][j] = 1,
- \quad \text{if } C[i] \cdot G^\mathrm{T}[j] > 0.
- \end{cases}
- \f]
- */
- void update_sat_g() const;
-
- //! Sorts the matrix of constraints keeping status consistency.
- /*!
- It is assumed that constraints are up-to-date.
- If at least one of the saturation matrices is up-to-date,
- then \p sat_g is kept consistent with the sorted matrix
- of constraints.
- The method is declared \p const because reordering
- the constraints does not modify the polyhedron
- from a \e logical point of view.
- */
- void obtain_sorted_constraints() const;
-
- //! Sorts the matrix of generators keeping status consistency.
- /*!
- It is assumed that generators are up-to-date.
- If at least one of the saturation matrices is up-to-date,
- then \p sat_c is kept consistent with the sorted matrix
- of generators.
- The method is declared \p const because reordering
- the generators does not modify the polyhedron
- from a \e logical point of view.
- */
- void obtain_sorted_generators() const;
-
- //! Sorts the matrix of constraints and updates \p sat_c.
- /*!
- It is assumed that both constraints and generators
- are up-to-date and minimized.
- The method is declared \p const because reordering
- the constraints does not modify the polyhedron
- from a \e logical point of view.
- */
- void obtain_sorted_constraints_with_sat_c() const;
-
- //! Sorts the matrix of generators and updates \p sat_g.
- /*!
- It is assumed that both constraints and generators
- are up-to-date and minimized.
- The method is declared \p const because reordering
- the generators does not modify the polyhedron
- from a \e logical point of view.
- */
- void obtain_sorted_generators_with_sat_g() const;
-
- //@} // Updating and Sorting Matrices
-
- //! \name Weak and Strong Minimization of Descriptions
- //@{
-
- //! Applies (weak) minimization to both the constraints and generators.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
-
- Minimization is not attempted if the Status field already declares
- both systems to be minimized.
- */
- bool minimize() const;
-
- //! Applies strong minimization to the constraints of an NNC polyhedron.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
- */
- bool strongly_minimize_constraints() const;
-
- //! Applies strong minimization to the generators of an NNC polyhedron.
- /*!
- \return
- <CODE>false</CODE> if and only if \p *this turns out to be an
- empty polyhedron.
- */
- bool strongly_minimize_generators() const;
-
- //! If constraints are up-to-date, obtain a simplified copy of them.
- Constraint_System simplified_constraints() const;
-
- //@} // Weak and Strong Minimization of Descriptions
-
- enum Three_Valued_Boolean {
- TVB_TRUE,
- TVB_FALSE,
- TVB_DONT_KNOW
- };
-
- //! Polynomial but incomplete equivalence test between polyhedra.
- Three_Valued_Boolean quick_equivalence_test(const Polyhedron& y) const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is included in \p y.
- bool is_included_in(const Polyhedron& y) const;
-
- //! Checks if and how \p expr is bounded in \p *this.
- /*!
- Returns <CODE>true</CODE> if and only if \p from_above is
- <CODE>true</CODE> and \p expr is bounded from above in \p *this,
- or \p from_above is <CODE>false</CODE> and \p expr is bounded
- from below in \p *this.
-
- \param expr
- The linear expression to test;
-
- \param from_above
- <CODE>true</CODE> if and only if the boundedness of interest is
- "from above".
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
- */
- bool bounds(const Linear_Expression& expr, bool from_above) const;
-
- //! Maximizes or minimizes \p expr subject to \p *this.
- /*!
- \param expr
- The linear expression to be maximized or minimized subject to \p
- *this;
-
- \param maximize
- <CODE>true</CODE> if maximization is what is wanted;
-
- \param ext_n
- The numerator of the extremum value;
-
- \param ext_d
- The denominator of the extremum value;
-
- \param included
- <CODE>true</CODE> if and only if the extremum of \p expr can
- actually be reached in \p * this;
-
- \param g
- When maximization or minimization succeeds, will be assigned
- a point or closure point where \p expr reaches the
- corresponding extremum value.
-
- \exception std::invalid_argument
- Thrown if \p expr and \p *this are dimension-incompatible.
-
- If \p *this is empty or \p expr is not bounded in the appropriate
- direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
- \p included and \p g are left untouched.
- */
- bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator& g) const;
-
- //! \name Widening- and Extrapolation-Related Functions
- //@{
-
- /*! \brief
- Copies to \p cs_selection the constraints of \p y corresponding
- to the definition of the CH78-widening of \p *this and \p y.
- */
- void select_CH78_constraints(const Polyhedron& y,
- Constraint_System& cs_selection) const;
-
- /*! \brief
- Splits the constraints of `x' into two subsets, depending on whether
- or not they are selected to compute the \ref H79_widening "H79-widening"
- of \p *this and \p y.
- */
- void select_H79_constraints(const Polyhedron& y,
- Constraint_System& cs_selected,
- Constraint_System& cs_not_selected) const;
-
- bool BHRZ03_combining_constraints(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79,
- const Constraint_System& x_minus_H79_cs);
-
- bool BHRZ03_evolving_points(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79);
-
- bool BHRZ03_evolving_rays(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79);
-
- static void modify_according_to_evolution(Linear_Expression& ray,
- const Linear_Expression& x,
- const Linear_Expression& y);
-
- //@} // Widening- and Extrapolation-Related Functions
-
- //! Adds new space dimensions to the given linear systems.
- /*!
- \param sys1
- The linear system to which columns are added;
-
- \param sys2
- The linear system to which rows and columns are added;
-
- \param sat1
- The saturation matrix whose columns are indexed by the rows of
- \p sys1. On entry it is up-to-date;
-
- \param sat2
- The saturation matrix whose columns are indexed by the rows of \p
- sys2;
-
- \param add_dim
- The number of space dimensions to add.
-
- Adds new space dimensions to the vector space modifying the linear
- systems and saturation matrices.
- This function is invoked only by
- <CODE>add_space_dimensions_and_embed()</CODE> and
- <CODE>add_space_dimensions_and_project()</CODE>, passing the
- linear system of constraints and that of generators (and the
- corresponding saturation matrices) in different order (see those
- methods for details).
- */
- template <typename Linear_System1, typename Linear_System2>
- static void add_space_dimensions(Linear_System1& sys1,
- Linear_System2& sys2,
- Bit_Matrix& sat1,
- Bit_Matrix& sat2,
- dimension_type add_dim);
-
- //! \name Minimization-Related Static Member Functions
- //@{
-
- //! Builds and simplifies constraints from generators (or vice versa).
- // Detailed Doxygen comment to be found in file minimize.cc.
- template <typename Source_Linear_System, typename Dest_Linear_System>
- static bool minimize(bool con_to_gen,
- Source_Linear_System& source,
- Dest_Linear_System& dest,
- Bit_Matrix& sat);
-
- /*! \brief
- Adds given constraints and builds minimized corresponding generators
- or vice versa.
- */
- // Detailed Doxygen comment to be found in file minimize.cc.
- template <typename Source_Linear_System1, typename Source_Linear_System2,
- typename Dest_Linear_System>
- static bool add_and_minimize(bool con_to_gen,
- Source_Linear_System1& source1,
- Dest_Linear_System& dest,
- Bit_Matrix& sat,
- const Source_Linear_System2& source2);
-
- /*! \brief
- Adds given constraints and builds minimized corresponding generators
- or vice versa. The given constraints are in \p source.
- */
- // Detailed Doxygen comment to be found in file minimize.cc.
- template <typename Source_Linear_System, typename Dest_Linear_System>
- static bool add_and_minimize(bool con_to_gen,
- Source_Linear_System& source,
- Dest_Linear_System& dest,
- Bit_Matrix& sat);
-
- //! Performs the conversion from constraints to generators and vice versa.
- // Detailed Doxygen comment to be found in file conversion.cc.
- template <typename Source_Linear_System, typename Dest_Linear_System>
- static dimension_type conversion(Source_Linear_System& source,
- dimension_type start,
- Dest_Linear_System& dest,
- Bit_Matrix& sat,
- dimension_type num_lines_or_equalities);
-
- /*! \brief
- Uses Gauss' elimination method to simplify the result of
- <CODE>conversion()</CODE>.
- */
- // Detailed Doxygen comment to be found in file simplify.cc.
- template <typename Linear_System1>
- static dimension_type simplify(Linear_System1& sys, Bit_Matrix& sat);
-
- //@} // Minimization-Related Static Member Functions
-
- /*! \brief
- Pointer to an array used by simplify().
-
- Holds (between class initialization and finalization) a pointer to
- an array, allocated with operator new[](), of
- simplify_num_saturators_size elements.
- */
- static dimension_type* simplify_num_saturators_p;
-
- /*! \brief
- Dimension of an array used by simplify().
-
- Holds (between class initialization and finalization) the size of the
- array pointed to by simplify_num_saturators_p.
- */
- static size_t simplify_num_saturators_size;
-
- template <typename Interval> friend class Parma_Polyhedra_Library::Box;
- template <typename T> friend class Parma_Polyhedra_Library::BD_Shape;
- template <typename T> friend class Parma_Polyhedra_Library::Octagonal_Shape;
- friend class Parma_Polyhedra_Library::Grid;
- friend class Parma_Polyhedra_Library::BHRZ03_Certificate;
- friend class Parma_Polyhedra_Library::H79_Certificate;
-
-protected:
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- If the poly-hull of \p *this and \p y is exact it is assigned
- to \p *this and \c true is returned, otherwise \c false is returned.
-
- Current implementation is based on (a variant of) Algorithm 8.1 in
- A. Bemporad, K. Fukuda, and F. D. Torrisi
- <em>Convexity Recognition of the Union of Polyhedra</em>
- Technical Report AUT00-13, ETH Zurich, 2000
-
- \note
- It is assumed that \p *this and \p y are topologically closed
- and dimension-compatible;
- if the assumption does not hold, the behavior is undefined.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- bool BFT00_poly_hull_assign_if_exact(const Polyhedron& y);
-
- bool BHZ09_poly_hull_assign_if_exact(const Polyhedron& y);
- bool BHZ09_C_poly_hull_assign_if_exact(const Polyhedron& y);
- bool BHZ09_NNC_poly_hull_assign_if_exact(const Polyhedron& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \name Exception Throwers
- //@{
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-protected:
- void throw_invalid_argument(const char* method, const char* reason) const;
-
- void throw_topology_incompatible(const char* method,
- const char* ph_name,
- const Polyhedron& ph) const;
- void throw_topology_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const;
- void throw_topology_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const;
- void throw_topology_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const;
- void throw_topology_incompatible(const char* method,
- const char* gs_name,
- const Generator_System& gs) const;
-
- void throw_dimension_incompatible(const char* method,
- const char* other_name,
- dimension_type other_dim) const;
- void throw_dimension_incompatible(const char* method,
- const char* ph_name,
- const Polyhedron& ph) const;
- void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
- void throw_dimension_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const;
- void throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const;
- void throw_dimension_incompatible(const char* method,
- const char* cg_name,
- const Congruence& cg) const;
- void throw_dimension_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const;
- void throw_dimension_incompatible(const char* method,
- const char* gs_name,
- const Generator_System& gs) const;
- void throw_dimension_incompatible(const char* method,
- const char* cgs_name,
- const Congruence_System& cgs) const;
- template <typename C>
- void throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const;
- void throw_dimension_incompatible(const char* method,
- const char* var_name,
- Variable var) const;
- void throw_dimension_incompatible(const char* method,
- dimension_type required_space_dim) const;
-
- // Note: the following three methods need to be static, because they
- // can be called inside constructors (before actually constructing the
- // polyhedron object).
- static dimension_type
- check_space_dimension_overflow(dimension_type dim, dimension_type max,
- const Topology topol,
- const char* method, const char* reason);
-
- static dimension_type
- check_space_dimension_overflow(dimension_type dim, const Topology topol,
- const char* method, const char* reason);
-
- template <typename Object>
- static Object&
- check_obj_space_dimension_overflow(Object& input, Topology topol,
- const char* method, const char* reason);
-
- void throw_invalid_generator(const char* method,
- const char* g_name) const;
-
- void throw_invalid_generators(const char* method,
- const char* gs_name) const;
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //@} // Exception Throwers
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
- /*! \brief
- Possibly tightens \p *this by dropping some points with non-integer
- coordinates for the space dimensions corresponding to \p *vars_p.
-
- \param vars_p
- When nonzero, points with non-integer coordinates for the
- variables/space-dimensions contained in \p *vars_p can be discarded.
-
- \param complexity
- The maximal complexity of any algorithms used.
-
- \note
- Currently there is no optimality guarantee, not even if
- \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
- */
- void drop_some_non_integer_points(const Variables_Set* vars_p,
- Complexity_Class complexity);
-
- //! Helper function that overapproximates an interval linear form.
- /*!
- \param lf
- The linear form on intervals with floating point boundaries to approximate.
- ALL of its coefficients MUST be bounded.
-
- \param lf_dimension
- Must be the space dimension of \p lf.
-
- \param result
- Used to store the result.
-
- This function makes \p result become a linear form that is a correct
- approximation of \p lf under the constraints specified by \p *this.
- The resulting linear form has the property that all of its variable
- coefficients have a non-significant upper bound and can thus be
- considered as singletons.
- */
- template <typename FP_Format, typename Interval_Info>
- void overapproximate_linear_form(
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
- const dimension_type lf_dimension,
- Linear_Form<Interval <FP_Format, Interval_Info> >& result);
-
- /*! \brief
- Helper function that makes \p result become a Linear_Expression obtained
- by normalizing the denominators in \p lf.
-
- \param lf
- The linear form on intervals with floating point boundaries to normalize.
- It should be the result of an application of static method
- <CODE>overapproximate_linear_form</CODE>.
-
- \param lf_dimension
- Must be the space dimension of \p lf.
-
- \param result
- Used to store the result.
-
- This function ignores the upper bound of intervals in \p lf,
- so that in fact \p result can be seen as \p lf multiplied by a proper
- normalization constant.
- */
- template <typename FP_Format, typename Interval_Info>
- static void convert_to_integer_expression(
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
- const dimension_type lf_dimension,
- Linear_Expression& result);
-
- //! Normalization helper function.
- /*!
- \param lf
- The linear form on intervals with floating point boundaries to normalize.
- It should be the result of an application of static method
- <CODE>overapproximate_linear_form</CODE>.
-
- \param lf_dimension
- Must be the space dimension of \p lf.
-
- \param res
- Stores the normalized linear form, except its inhomogeneous term.
-
- \param res_low_coeff
- Stores the lower boundary of the inhomogeneous term of the result.
-
- \param res_hi_coeff
- Stores the higher boundary of the inhomogeneous term of the result.
-
- \param denominator
- Becomes the common denominator of \p res_low_coeff, \p res_hi_coeff
- and all coefficients in \p res.
-
- Results are obtained by normalizing denominators in \p lf, ignoring
- the upper bounds of variable coefficients in \p lf.
- */
- template <typename FP_Format, typename Interval_Info>
- static void
- convert_to_integer_expressions(const Linear_Form<Interval<FP_Format,
- Interval_Info> >&
- lf,
- const dimension_type lf_dimension,
- Linear_Expression& res,
- Coefficient& res_low_coeff,
- Coefficient& res_hi_coeff,
- Coefficient& denominator);
-
- template <typename Linear_System1, typename Row2>
- static bool
- add_to_system_and_check_independence(Linear_System1& eq_sys,
- const Row2& eq);
-};
-
-#include "Ph_Status.inlines.hh"
-#include "Polyhedron.inlines.hh"
-#include "Polyhedron.templates.hh"
-#include "Polyhedron_chdims.templates.hh"
-#include "Polyhedron_conversion.templates.hh"
-#include "Polyhedron_minimize.templates.hh"
-#include "Polyhedron_simplify.templates.hh"
-
-#endif // !defined(PPL_Polyhedron_defs_hh)
diff --git a/src/Polyhedron.inlines.hh b/src/Polyhedron.inlines.hh
deleted file mode 100644
index ecdc412..0000000
--- a/src/Polyhedron.inlines.hh
+++ /dev/null
@@ -1,461 +0,0 @@
-/* Polyhedron class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_inlines_hh
-#define PPL_Polyhedron_inlines_hh 1
-
-#include "Generator.defs.hh"
-#include "compiler.hh"
-#include <algorithm>
-#include <deque>
-
-namespace Parma_Polyhedra_Library {
-
-inline memory_size_type
-Polyhedron::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline dimension_type
-Polyhedron::space_dimension() const {
- return space_dim;
-}
-
-inline int32_t
-Polyhedron::hash_code() const {
- return hash_code_from_dimension(space_dimension());
-}
-
-inline dimension_type
-Polyhedron::max_space_dimension() {
- using std::min;
- // One dimension is reserved to have a value of type dimension_type
- // that does not represent a legal dimension.
- return min(std::numeric_limits<dimension_type>::max() - 1,
- min(Constraint_System::max_space_dimension(),
- Generator_System::max_space_dimension()
- )
- );
-}
-
-inline Topology
-Polyhedron::topology() const {
- // We can check either one of the two matrices.
- // (`con_sys' is slightly better, since it is placed at offset 0.)
- return con_sys.topology();
-}
-
-inline bool
-Polyhedron::is_discrete() const {
- return affine_dimension() == 0;
-}
-
-inline bool
-Polyhedron::is_necessarily_closed() const {
- // We can check either one of the two matrices.
- // (`con_sys' is slightly better, since it is placed at offset 0.)
- return con_sys.is_necessarily_closed();
-}
-
-inline void
-Polyhedron::upper_bound_assign(const Polyhedron& y) {
- poly_hull_assign(y);
-}
-
-inline void
-Polyhedron::difference_assign(const Polyhedron& y) {
- poly_difference_assign(y);
-}
-
-inline void
-Polyhedron::widening_assign(const Polyhedron& y, unsigned* tp) {
- H79_widening_assign(y, tp);
-}
-
-inline
-Polyhedron::~Polyhedron() {
-}
-
-inline void
-Polyhedron::m_swap(Polyhedron& y) {
- if (topology() != y.topology())
- throw_topology_incompatible("swap(y)", "y", y);
- using std::swap;
- swap(con_sys, y.con_sys);
- swap(gen_sys, y.gen_sys);
- swap(sat_c, y.sat_c);
- swap(sat_g, y.sat_g);
- swap(status, y.status);
- swap(space_dim, y.space_dim);
-}
-
-/*! \relates Polyhedron */
-inline void
-swap(Polyhedron& x, Polyhedron& y) {
- x.m_swap(y);
-}
-
-inline bool
-Polyhedron::can_recycle_constraint_systems() {
- return true;
-}
-
-inline bool
-Polyhedron::can_recycle_congruence_systems() {
- return false;
-}
-
-inline bool
-Polyhedron::marked_empty() const {
- return status.test_empty();
-}
-
-inline bool
-Polyhedron::constraints_are_up_to_date() const {
- return status.test_c_up_to_date();
-}
-
-inline bool
-Polyhedron::generators_are_up_to_date() const {
- return status.test_g_up_to_date();
-}
-
-inline bool
-Polyhedron::constraints_are_minimized() const {
- return status.test_c_minimized();
-}
-
-inline bool
-Polyhedron::generators_are_minimized() const {
- return status.test_g_minimized();
-}
-
-inline bool
-Polyhedron::sat_c_is_up_to_date() const {
- return status.test_sat_c_up_to_date();
-}
-
-inline bool
-Polyhedron::sat_g_is_up_to_date() const {
- return status.test_sat_g_up_to_date();
-}
-
-inline bool
-Polyhedron::has_pending_constraints() const {
- return status.test_c_pending();
-}
-
-inline bool
-Polyhedron::has_pending_generators() const {
- return status.test_g_pending();
-}
-
-inline bool
-Polyhedron::has_something_pending() const {
- return status.test_c_pending() || status.test_g_pending();
-}
-
-inline bool
-Polyhedron::can_have_something_pending() const {
- return constraints_are_minimized()
- && generators_are_minimized()
- && (sat_c_is_up_to_date() || sat_g_is_up_to_date());
-}
-
-inline bool
-Polyhedron::is_empty() const {
- if (marked_empty())
- return true;
- // Try a fast-fail test: if generators are up-to-date and
- // there are no pending constraints, then the generator system
- // (since it is well formed) contains a point.
- if (generators_are_up_to_date() && !has_pending_constraints())
- return false;
- return !minimize();
-}
-
-inline void
-Polyhedron::set_constraints_up_to_date() {
- status.set_c_up_to_date();
-}
-
-inline void
-Polyhedron::set_generators_up_to_date() {
- status.set_g_up_to_date();
-}
-
-inline void
-Polyhedron::set_constraints_minimized() {
- set_constraints_up_to_date();
- status.set_c_minimized();
-}
-
-inline void
-Polyhedron::set_generators_minimized() {
- set_generators_up_to_date();
- status.set_g_minimized();
-}
-
-inline void
-Polyhedron::set_constraints_pending() {
- status.set_c_pending();
-}
-
-inline void
-Polyhedron::set_generators_pending() {
- status.set_g_pending();
-}
-
-inline void
-Polyhedron::set_sat_c_up_to_date() {
- status.set_sat_c_up_to_date();
-}
-
-inline void
-Polyhedron::set_sat_g_up_to_date() {
- status.set_sat_g_up_to_date();
-}
-
-inline void
-Polyhedron::clear_empty() {
- status.reset_empty();
-}
-
-inline void
-Polyhedron::clear_constraints_minimized() {
- status.reset_c_minimized();
-}
-
-inline void
-Polyhedron::clear_generators_minimized() {
- status.reset_g_minimized();
-}
-
-inline void
-Polyhedron::clear_pending_constraints() {
- status.reset_c_pending();
-}
-
-inline void
-Polyhedron::clear_pending_generators() {
- status.reset_g_pending();
-}
-
-inline void
-Polyhedron::clear_sat_c_up_to_date() {
- status.reset_sat_c_up_to_date();
- // Can get rid of sat_c here.
-}
-
-inline void
-Polyhedron::clear_sat_g_up_to_date() {
- status.reset_sat_g_up_to_date();
- // Can get rid of sat_g here.
-}
-
-inline void
-Polyhedron::clear_constraints_up_to_date() {
- clear_pending_constraints();
- clear_constraints_minimized();
- clear_sat_c_up_to_date();
- clear_sat_g_up_to_date();
- status.reset_c_up_to_date();
- // Can get rid of con_sys here.
-}
-
-inline void
-Polyhedron::clear_generators_up_to_date() {
- clear_pending_generators();
- clear_generators_minimized();
- clear_sat_c_up_to_date();
- clear_sat_g_up_to_date();
- status.reset_g_up_to_date();
- // Can get rid of gen_sys here.
-}
-
-inline bool
-Polyhedron::process_pending() const {
- PPL_ASSERT(space_dim > 0 && !marked_empty());
- PPL_ASSERT(has_something_pending());
-
- Polyhedron& x = const_cast<Polyhedron&>(*this);
-
- if (x.has_pending_constraints())
- return x.process_pending_constraints();
-
- PPL_ASSERT(x.has_pending_generators());
- x.process_pending_generators();
- return true;
-}
-
-inline bool
-Polyhedron::bounds_from_above(const Linear_Expression& expr) const {
- return bounds(expr, true);
-}
-
-inline bool
-Polyhedron::bounds_from_below(const Linear_Expression& expr) const {
- return bounds(expr, false);
-}
-
-inline bool
-Polyhedron::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
- Generator g(point());
- return max_min(expr, true, sup_n, sup_d, maximum, g);
-}
-
-inline bool
-Polyhedron::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const {
- return max_min(expr, true, sup_n, sup_d, maximum, g);
-}
-
-inline bool
-Polyhedron::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
- Generator g(point());
- return max_min(expr, false, inf_n, inf_d, minimum, g);
-}
-
-inline bool
-Polyhedron::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const {
- return max_min(expr, false, inf_n, inf_d, minimum, g);
-}
-
-inline Constraint_System
-Polyhedron::simplified_constraints() const {
- PPL_ASSERT(constraints_are_up_to_date());
- Constraint_System cs(con_sys);
- if (cs.num_pending_rows() > 0)
- cs.unset_pending_rows();
- if (has_pending_constraints() || !constraints_are_minimized())
- cs.simplify();
- return cs;
-}
-
-inline Congruence_System
-Polyhedron::congruences() const {
- return Congruence_System(minimized_constraints());
-}
-
-inline Congruence_System
-Polyhedron::minimized_congruences() const {
- return Congruence_System(minimized_constraints());
-}
-
-inline void
-Polyhedron::add_recycled_congruences(Congruence_System& cgs) {
- add_congruences(cgs);
-}
-
-template <typename FP_Format, typename Interval_Info>
-inline void
-Polyhedron::generalized_refine_with_linear_form_inequality(
- const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
- const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
- const Relation_Symbol relsym) {
- switch (relsym) {
- case EQUAL:
- // TODO: see if we can handle this case more efficiently.
- refine_with_linear_form_inequality(left, right, false);
- refine_with_linear_form_inequality(right, left, false);
- break;
- case LESS_THAN:
- refine_with_linear_form_inequality(left, right, true);
- break;
- case LESS_OR_EQUAL:
- refine_with_linear_form_inequality(left, right, false);
- break;
- case GREATER_THAN:
- refine_with_linear_form_inequality(right, left, true);
- break;
- case GREATER_OR_EQUAL:
- refine_with_linear_form_inequality(right, left, false);
- break;
- case NOT_EQUAL:
- break;
- default:
- PPL_UNREACHABLE;
- break;
- }
-}
-
-template <typename FP_Format, typename Interval_Info>
-inline void
-Polyhedron::
-refine_fp_interval_abstract_store(
- Box< Interval<FP_Format, Interval_Info> >& store) const {
-
- // Check that FP_Format is indeed a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
- "Polyhedron::refine_fp_interval_abstract_store:"
- " T not a floating point type.");
-
- typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
- store.intersection_assign(Box<FP_Interval_Type>(*this));
-
-}
-
-/*! \relates Polyhedron */
-inline bool
-operator!=(const Polyhedron& x, const Polyhedron& y) {
- return !(x == y);
-}
-
-inline bool
-Polyhedron::strictly_contains(const Polyhedron& y) const {
- const Polyhedron& x = *this;
- return x.contains(y) && !y.contains(x);
-}
-
-inline void
-Polyhedron::drop_some_non_integer_points(Complexity_Class complexity) {
- const Variables_Set* p_vs = 0;
- drop_some_non_integer_points(p_vs, complexity);
-}
-
-inline void
-Polyhedron::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity) {
- drop_some_non_integer_points(&vars, complexity);
-}
-
-
-namespace Interfaces {
-
-inline bool
-is_necessarily_closed_for_interfaces(const Polyhedron& ph) {
- return ph.is_necessarily_closed();
-}
-
-} // namespace Interfaces
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_inlines_hh)
diff --git a/src/Polyhedron.templates.hh b/src/Polyhedron.templates.hh
deleted file mode 100644
index 7bf33e4..0000000
--- a/src/Polyhedron.templates.hh
+++ /dev/null
@@ -1,579 +0,0 @@
-/* Polyhedron class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_templates_hh
-#define PPL_Polyhedron_templates_hh 1
-
-#include "Generator.defs.hh"
-#include "MIP_Problem.defs.hh"
-#include "Interval.defs.hh"
-#include "Linear_Form.defs.hh"
-// For static method overflows.
-#include "Floating_Point_Expression.defs.hh"
-#include <algorithm>
-#include <deque>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Interval>
-Polyhedron::Polyhedron(Topology topol,
- const Box<Interval>& box,
- Complexity_Class)
- : con_sys(topol, default_con_sys_repr),
- gen_sys(topol, default_gen_sys_repr),
- sat_c(),
- sat_g() {
- // Initialize the space dimension as indicated by the box.
- space_dim = box.space_dimension();
-
- // Check for emptiness.
- if (box.is_empty()) {
- set_empty();
- return;
- }
-
- // Zero-dim universe polyhedron.
- if (space_dim == 0) {
- set_zero_dim_univ();
- return;
- }
-
- // Properly set the space dimension of `con_sys'.
- con_sys.set_space_dimension(space_dim);
-
- PPL_DIRTY_TEMP_COEFFICIENT(l_n);
- PPL_DIRTY_TEMP_COEFFICIENT(l_d);
- PPL_DIRTY_TEMP_COEFFICIENT(u_n);
- PPL_DIRTY_TEMP_COEFFICIENT(u_d);
-
- if (topol == NECESSARILY_CLOSED) {
- for (dimension_type k = space_dim; k-- > 0; ) {
- const Variable v_k = Variable(k);
- // See if we have a valid lower bound.
- bool l_closed = false;
- bool l_bounded = box.has_lower_bound(v_k, l_n, l_d, l_closed);
- // See if we have a valid upper bound.
- bool u_closed = false;
- bool u_bounded = box.has_upper_bound(v_k, u_n, u_d, u_closed);
-
- // See if we have an implicit equality constraint.
- if (l_bounded && u_bounded
- && l_closed && u_closed
- && l_n == u_n && l_d == u_d) {
- // Add the constraint `l_d*v_k == l_n'.
- con_sys.insert(l_d * v_k == l_n);
- }
- else {
- if (l_bounded)
- // Add the constraint `l_d*v_k >= l_n'.
- con_sys.insert(l_d * v_k >= l_n);
- if (u_bounded)
- // Add the constraint `u_d*v_k <= u_n'.
- con_sys.insert(u_d * v_k <= u_n);
- }
- }
- }
- else {
- // topol == NOT_NECESSARILY_CLOSED
- for (dimension_type k = space_dim; k-- > 0; ) {
- const Variable v_k = Variable(k);
- // See if we have a valid lower bound.
- bool l_closed = false;
- bool l_bounded = box.has_lower_bound(v_k, l_n, l_d, l_closed);
- // See if we have a valid upper bound.
- bool u_closed = false;
- bool u_bounded = box.has_upper_bound(v_k, u_n, u_d, u_closed);
-
- // See if we have an implicit equality constraint.
- if (l_bounded && u_bounded
- && l_closed && u_closed
- && l_n == u_n && l_d == u_d) {
- // Add the constraint `l_d*v_k == l_n'.
- con_sys.insert(l_d * v_k == l_n);
- }
- else {
- // Check if a lower bound constraint is required.
- if (l_bounded) {
- if (l_closed)
- // Add the constraint `l_d*v_k >= l_n'.
- con_sys.insert(l_d * v_k >= l_n);
- else
- // Add the constraint `l_d*v_k > l_n'.
- con_sys.insert(l_d * v_k > l_n);
- }
- // Check if an upper bound constraint is required.
- if (u_bounded) {
- if (u_closed)
- // Add the constraint `u_d*v_k <= u_n'.
- con_sys.insert(u_d * v_k <= u_n);
- else
- // Add the constraint `u_d*v_k < u_n'.
- con_sys.insert(u_d * v_k < u_n);
- }
- }
- }
- }
-
- // Adding the low-level constraints.
- con_sys.add_low_level_constraints();
-
- // Constraints are up-to-date.
- set_constraints_up_to_date();
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename Partial_Function>
-void
-Polyhedron::map_space_dimensions(const Partial_Function& pfunc) {
- if (space_dim == 0)
- return;
-
- if (pfunc.has_empty_codomain()) {
- // All dimensions vanish: the polyhedron becomes zero_dimensional.
- if (marked_empty()
- || (has_pending_constraints()
- && !remove_pending_to_obtain_generators())
- || (!generators_are_up_to_date() && !update_generators())) {
- // Removing all dimensions from the empty polyhedron.
- space_dim = 0;
- con_sys.clear();
- }
- else
- // Removing all dimensions from a non-empty polyhedron.
- set_zero_dim_univ();
-
- PPL_ASSERT_HEAVY(OK());
- return;
- }
-
- const dimension_type new_space_dimension = pfunc.max_in_codomain() + 1;
-
- if (new_space_dimension == space_dim) {
- // The partial function `pfunc' is indeed total and thus specifies
- // a permutation, that is, a renaming of the dimensions. For
- // maximum efficiency, we will simply permute the columns of the
- // constraint system and/or the generator system.
-
- std::vector<Variable> cycle;
- cycle.reserve(space_dim);
-
- // Used to mark elements as soon as they are inserted in a cycle.
- std::deque<bool> visited(space_dim);
-
- for (dimension_type i = space_dim; i-- > 0; ) {
- if (visited[i])
- continue;
-
- dimension_type j = i;
- do {
- visited[j] = true;
- // The following initialization is only to make the compiler happy.
- dimension_type k = 0;
- if (!pfunc.maps(j, k))
- throw_invalid_argument("map_space_dimensions(pfunc)",
- " pfunc is inconsistent");
- if (k == j)
- break;
-
- cycle.push_back(Variable(j));
- // Go along the cycle.
- j = k;
- } while (!visited[j]);
-
- // End of cycle.
-
- // Permute all that is up-to-date. Notice that the contents of
- // the saturation matrices is unaffected by the permutation of
- // columns: they remain valid, if they were so.
- if (constraints_are_up_to_date())
- con_sys.permute_space_dimensions(cycle);
-
- if (generators_are_up_to_date())
- gen_sys.permute_space_dimensions(cycle);
-
- cycle.clear();
- }
-
- PPL_ASSERT_HEAVY(OK());
- return;
- }
-
- // If control gets here, then `pfunc' is not a permutation and some
- // dimensions must be projected away.
-
- // If there are pending constraints, using `generators()' we process them.
- const Generator_System& old_gensys = generators();
-
- if (old_gensys.has_no_rows()) {
- // The polyhedron is empty.
- Polyhedron new_polyhedron(topology(), new_space_dimension, EMPTY);
- m_swap(new_polyhedron);
- PPL_ASSERT_HEAVY(OK());
- return;
- }
-
- // Make a local copy of the partial function.
- std::vector<dimension_type> pfunc_maps(space_dim, not_a_dimension());
- for (dimension_type j = space_dim; j-- > 0; ) {
- dimension_type pfunc_j;
- if (pfunc.maps(j, pfunc_j))
- pfunc_maps[j] = pfunc_j;
- }
-
- Generator_System new_gensys;
- for (Generator_System::const_iterator i = old_gensys.begin(),
- old_gensys_end = old_gensys.end(); i != old_gensys_end; ++i) {
- const Generator& old_g = *i;
- const Generator::Expression& old_e = old_g.expression();
- Linear_Expression expr;
- expr.set_space_dimension(new_space_dimension);
- bool all_zeroes = true;
- for (Generator::Expression::const_iterator j = old_e.begin(),
- j_end = old_e.end(); j != j_end; ++j) {
- const dimension_type mapped_id = pfunc_maps[j.variable().id()];
- if (mapped_id != not_a_dimension()) {
- add_mul_assign(expr, *j, Variable(mapped_id));
- all_zeroes = false;
- }
- }
- switch (old_g.type()) {
- case Generator::LINE:
- if (!all_zeroes)
- new_gensys.insert(line(expr));
- break;
- case Generator::RAY:
- if (!all_zeroes)
- new_gensys.insert(ray(expr));
- break;
- case Generator::POINT:
- // A point in the origin has all zero homogeneous coefficients.
- new_gensys.insert(point(expr, old_g.divisor()));
- break;
- case Generator::CLOSURE_POINT:
- // A closure point in the origin has all zero homogeneous coefficients.
- new_gensys.insert(closure_point(expr, old_g.divisor()));
- break;
- }
- }
- Polyhedron new_polyhedron(topology(), new_gensys);
- m_swap(new_polyhedron);
- PPL_ASSERT_HEAVY(OK(true));
-}
-
-template <typename FP_Format, typename Interval_Info>
-void
-Polyhedron::refine_with_linear_form_inequality(
- const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
- const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
- const bool is_strict) {
-
- // Check that FP_Format is indeed a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
- "Polyhedron::refine_with_linear_form_inequality:"
- " FP_Format not a floating point type.");
-
- // Dimension compatibility checks.
- // The dimensions of left and right should not be greater than the
- // dimension of *this.
- const dimension_type left_space_dim = left.space_dimension();
- if (space_dim < left_space_dim)
- throw_dimension_incompatible(
- "refine_with_linear_form_inequality(l1, l2, s)", "l1", left);
-
- const dimension_type right_space_dim = right.space_dimension();
- if (space_dim < right_space_dim)
- throw_dimension_incompatible(
- "refine_with_linear_form_inequality(l1, l2, s)", "l2", right);
-
- // We assume that the analyzer will not refine an unreachable test.
- PPL_ASSERT(!marked_empty());
-
- typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
- typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
-
- if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
- overflows(left))
- return;
-
- if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
- overflows(right))
- return;
-
- // Overapproximate left - right.
- FP_Linear_Form left_minus_right(left);
- left_minus_right -= right;
- if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
- overflows(left_minus_right))
- return;
-
- dimension_type lf_space_dim = left_minus_right.space_dimension();
- FP_Linear_Form lf_approx;
- overapproximate_linear_form(left_minus_right, lf_space_dim, lf_approx);
- if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
- overflows(lf_approx))
- return;
-
- // Normalize left - right.
- Linear_Expression lf_approx_le;
- convert_to_integer_expression(lf_approx, lf_space_dim, lf_approx_le);
-
- // Finally, do the refinement.
- if (!is_strict || is_necessarily_closed())
- refine_with_constraint(lf_approx_le <= 0);
- else
- refine_with_constraint(lf_approx_le < 0);
-}
-
-template <typename FP_Format, typename Interval_Info>
-void
-Polyhedron::affine_form_image(const Variable var,
-const Linear_Form<Interval <FP_Format, Interval_Info> >& lf) {
-
- // Check that FP_Format is indeed a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
- "Polyhedron::affine_form_image:"
- " FP_Format not a floating point type.");
-
- // Dimension compatibility checks.
- // The dimension of lf should not be greater than the dimension of *this.
- const dimension_type lf_space_dim = lf.space_dimension();
- if (space_dim < lf_space_dim)
- throw_dimension_incompatible("affine_form_image(v, l, s)", "l", lf);
-
- // `var' should be one of the dimensions of the polyhedron.
- const dimension_type var_id = var.id();
- if (space_dim < var_id + 1)
- throw_dimension_incompatible("affine_form_image(v, l, s)", "v", var);
-
- // We assume that the analyzer will not perform an unreachable assignment.
- PPL_ASSERT(!marked_empty());
-
- typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
- typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
-
- if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
- overflows(lf)) {
- *this = Polyhedron(topology(), space_dim, UNIVERSE);
- return;
- }
-
- // Overapproximate lf.
- FP_Linear_Form lf_approx;
- overapproximate_linear_form(lf, lf_space_dim, lf_approx);
-
- if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
- overflows(lf_approx)) {
- *this = Polyhedron(topology(), space_dim, UNIVERSE);
- return;
- }
-
- // Normalize lf.
- Linear_Expression lf_approx_le;
- PPL_DIRTY_TEMP_COEFFICIENT(lo_coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(hi_coeff);
- PPL_DIRTY_TEMP_COEFFICIENT(denominator);
- convert_to_integer_expressions(lf_approx, lf_space_dim, lf_approx_le,
- lo_coeff, hi_coeff, denominator);
-
- // Finally, do the assignment.
- bounded_affine_image(var, lf_approx_le + lo_coeff, lf_approx_le + hi_coeff,
- denominator);
-}
-
-template <typename FP_Format, typename Interval_Info>
-void
-Polyhedron::overapproximate_linear_form
-(const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
- const dimension_type lf_dimension,
- Linear_Form<Interval <FP_Format, Interval_Info> >& result) {
-
- // Check that FP_Format is indeed a floating point type.
- PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
- "Polyhedron::overapproximate_linear_form:"
- " FP_Format not a floating point type.");
-
- typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
- typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
-
- // Build a Box from the Polyhedron so that we can extract upper and
- // lower bounds of variables easily.
- Box<FP_Interval_Type> box(*this);
-
- result = FP_Linear_Form(lf.inhomogeneous_term());
- // FIXME: this may not be policy-neutral.
- const FP_Interval_Type aux_divisor1(static_cast<FP_Format>(0.5));
- FP_Interval_Type aux_divisor2(aux_divisor1);
- aux_divisor2.lower() = static_cast<FP_Format>(-0.5);
-
- for (dimension_type i = 0; i < lf_dimension; ++i) {
- Variable curr_var(i);
- const FP_Interval_Type& curr_coeff = lf.coefficient(curr_var);
- PPL_ASSERT(curr_coeff.is_bounded());
- FP_Format curr_lb = curr_coeff.lower();
- FP_Format curr_ub = curr_coeff.upper();
- if (curr_lb != 0 || curr_ub != 0) {
- const FP_Interval_Type& curr_int = box.get_interval(curr_var);
- FP_Interval_Type curr_addend(curr_ub - curr_lb);
- curr_addend *= aux_divisor2;
- curr_addend *= curr_int;
- result += curr_addend;
- curr_addend = FP_Interval_Type(curr_lb + curr_ub);
- curr_addend *= aux_divisor1;
- FP_Linear_Form curr_addend_lf(curr_var);
- curr_addend_lf *= curr_addend;
- result += curr_addend_lf;
- }
- }
-}
-
-template <typename FP_Format, typename Interval_Info>
-void
-Polyhedron::convert_to_integer_expression(
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
- const dimension_type lf_dimension,
- Linear_Expression& result) {
- result = Linear_Expression();
-
- typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
- std::vector<Coefficient> numerators(lf_dimension+1);
- std::vector<Coefficient> denominators(lf_dimension+1);
-
- // Convert each floating point number to a pair <numerator, denominator>
- // and compute the lcm of all denominators.
- PPL_DIRTY_TEMP_COEFFICIENT(lcm);
- lcm = 1;
- const FP_Interval_Type& b = lf.inhomogeneous_term();
- // FIXME: are these checks numerator[i] != 0 really necessary?
- numer_denom(b.lower(), numerators[lf_dimension],
- denominators[lf_dimension]);
- if (numerators[lf_dimension] != 0)
- lcm_assign(lcm, lcm, denominators[lf_dimension]);
-
- for (dimension_type i = 0; i < lf_dimension; ++i) {
- const FP_Interval_Type& curr_int = lf.coefficient(Variable(i));
- numer_denom(curr_int.lower(), numerators[i], denominators[i]);
- if (numerators[i] != 0)
- lcm_assign(lcm, lcm, denominators[i]);
- }
-
- for (dimension_type i = 0; i < lf_dimension; ++i) {
- if (numerators[i] != 0) {
- exact_div_assign(denominators[i], lcm, denominators[i]);
- numerators[i] *= denominators[i];
- result += numerators[i] * Variable(i);
- }
- }
-
- if (numerators[lf_dimension] != 0) {
- exact_div_assign(denominators[lf_dimension],
- lcm, denominators[lf_dimension]);
- numerators[lf_dimension] *= denominators[lf_dimension];
- result += numerators[lf_dimension];
- }
-}
-
-template <typename FP_Format, typename Interval_Info>
-void
-Polyhedron::convert_to_integer_expressions(
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
- const dimension_type lf_dimension, Linear_Expression& res,
- Coefficient& res_low_coeff, Coefficient& res_hi_coeff,
- Coefficient& denominator) {
- res = Linear_Expression();
-
- typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
- std::vector<Coefficient> numerators(lf_dimension+2);
- std::vector<Coefficient> denominators(lf_dimension+2);
-
- // Convert each floating point number to a pair <numerator, denominator>
- // and compute the lcm of all denominators.
- Coefficient& lcm = denominator;
- lcm = 1;
- const FP_Interval_Type& b = lf.inhomogeneous_term();
- numer_denom(b.lower(), numerators[lf_dimension], denominators[lf_dimension]);
- // FIXME: are these checks numerator[i] != 0 really necessary?
- if (numerators[lf_dimension] != 0)
- lcm_assign(lcm, lcm, denominators[lf_dimension]);
-
- numer_denom(b.upper(), numerators[lf_dimension+1],
- denominators[lf_dimension+1]);
- if (numerators[lf_dimension+1] != 0)
- lcm_assign(lcm, lcm, denominators[lf_dimension+1]);
-
- for (dimension_type i = 0; i < lf_dimension; ++i) {
- const FP_Interval_Type& curr_int = lf.coefficient(Variable(i));
- numer_denom(curr_int.lower(), numerators[i], denominators[i]);
- if (numerators[i] != 0)
- lcm_assign(lcm, lcm, denominators[i]);
- }
-
- for (dimension_type i = 0; i < lf_dimension; ++i) {
- if (numerators[i] != 0) {
- exact_div_assign(denominators[i], lcm, denominators[i]);
- numerators[i] *= denominators[i];
- res += numerators[i] * Variable(i);
- }
- }
-
- if (numerators[lf_dimension] != 0) {
- exact_div_assign(denominators[lf_dimension],
- lcm, denominators[lf_dimension]);
- numerators[lf_dimension] *= denominators[lf_dimension];
- res_low_coeff = numerators[lf_dimension];
- }
- else
- res_low_coeff = Coefficient(0);
-
- if (numerators[lf_dimension+1] != 0) {
- exact_div_assign(denominators[lf_dimension+1],
- lcm, denominators[lf_dimension+1]);
- numerators[lf_dimension+1] *= denominators[lf_dimension+1];
- res_hi_coeff = numerators[lf_dimension+1];
- }
- else
- res_hi_coeff = Coefficient(0);
-}
-
-template <typename C>
-void
-Polyhedron::throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const {
- throw_dimension_incompatible(method, lf_name, lf.space_dimension());
-}
-
-template <typename Input>
-Input&
-Polyhedron::check_obj_space_dimension_overflow(Input& input,
- const Topology topol,
- const char* method,
- const char* reason) {
- check_space_dimension_overflow(input.space_dimension(),
- max_space_dimension(),
- topol, method, reason);
- return input;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_templates_hh)
diff --git a/src/Polyhedron.types.hh b/src/Polyhedron.types.hh
deleted file mode 100644
index 5f7e822..0000000
--- a/src/Polyhedron.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Polyhedron_types_hh
-#define PPL_Polyhedron_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Polyhedron;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_types_hh)
diff --git a/src/Polyhedron_chdims.cc b/src/Polyhedron_chdims.cc
index 5264c31..e5afa64 100644
--- a/src/Polyhedron_chdims.cc
+++ b/src/Polyhedron_chdims.cc
@@ -1,7 +1,7 @@
/* Polyhedron class implementation
(non-inline operators that may change the dimension of the vector space).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,8 +23,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Polyhedron.defs.hh"
-#include "Variables_Set.defs.hh"
+#include "Polyhedron_defs.hh"
+#include "Variables_Set_defs.hh"
#include "assert.hh"
#define BE_LAZY 1
@@ -77,7 +77,7 @@ PPL::Polyhedron::add_space_dimensions_and_embed(dimension_type m) {
if (generators_are_up_to_date()) {
// `sat_c' must be up to date for add_space_dimensions().
if (!sat_c_is_up_to_date())
- update_sat_c();
+ update_sat_c();
// Adds rows and/or columns to both matrices.
// `add_space_dimensions' correctly handles pending constraints
// or generators.
@@ -150,7 +150,7 @@ PPL::Polyhedron::add_space_dimensions_and_project(dimension_type m) {
if (generators_are_up_to_date()) {
// `sat_g' must be up to date for add_space_dimensions().
if (!sat_g_is_up_to_date())
- update_sat_g();
+ update_sat_g();
// Adds rows and/or columns to both matrices.
// `add_space_dimensions()' correctly handles pending constraints
// or generators.
@@ -219,7 +219,7 @@ PPL::Polyhedron::concatenate_assign(const Polyhedron& y) {
// by leaving the old system of constraints in the upper left-hand side
// and placing the constraints of `cs' in the lower right-hand side.
// NOTE: here topologies agree, whereas dimensions may not agree.
- dimension_type added_rows = cs.num_rows();
+ const dimension_type added_rows = cs.num_rows();
// We already dealt with the cases of an empty or zero-dim `y' polyhedron;
// also, `cs' contains the low-level constraints, at least.
@@ -340,7 +340,7 @@ PPL::Polyhedron::remove_higher_space_dimensions(dimension_type new_dimension) {
// Dimension-compatibility check.
if (new_dimension > space_dim)
throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
- new_dimension);
+ new_dimension);
// The removal of no dimensions from any polyhedron is a no-op.
// Note that this case also captures the only legal removal of
@@ -401,7 +401,7 @@ PPL::Polyhedron::expand_space_dimension(Variable var, dimension_type m) {
return;
// Keep track of the dimension before adding the new ones.
- dimension_type old_dim = space_dim;
+ const dimension_type old_dim = space_dim;
// Add the required new dimensions.
add_space_dimensions_and_embed(m);
@@ -409,7 +409,7 @@ PPL::Polyhedron::expand_space_dimension(Variable var, dimension_type m) {
const Constraint_System& cs = constraints();
Constraint_System new_constraints(cs.topology());
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
+ cs_end = cs.end(); i != cs_end; ++i) {
const Constraint& c = *i;
Coefficient_traits::const_reference coeff = c.coefficient(var);
@@ -435,7 +435,7 @@ PPL::Polyhedron::expand_space_dimension(Variable var, dimension_type m) {
void
PPL::Polyhedron::fold_space_dimensions(const Variables_Set& vars,
- Variable dest) {
+ Variable dest) {
// TODO: this implementation is _really_ an executable specification.
// `dest' should be one of the dimensions of the polyhedron.
@@ -449,13 +449,13 @@ PPL::Polyhedron::fold_space_dimensions(const Variables_Set& vars,
// All variables in `vars' should be dimensions of the polyhedron.
if (vars.space_dimension() > space_dim)
throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- "vs.space_dimension()",
- vars.space_dimension());
+ "vs.space_dimension()",
+ vars.space_dimension());
// Moreover, `dest.id()' should not occur in `vars'.
if (vars.find(dest.id()) != vars.end())
throw_invalid_argument("fold_space_dimensions(vs, v)",
- "v should not occur in vs");
+ "v should not occur in vs");
// All of the affine images we are going to compute are not invertible,
// hence we will need to compute the generators of the polyhedron.
diff --git a/src/Polyhedron_chdims.templates.hh b/src/Polyhedron_chdims.templates.hh
deleted file mode 100644
index 6468485..0000000
--- a/src/Polyhedron_chdims.templates.hh
+++ /dev/null
@@ -1,63 +0,0 @@
-/* Polyhedron class implementation (non-inline template operators that
- may change the dimension of the vector space).
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_chdims_templates_hh
-#define PPL_Polyhedron_chdims_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Linear_System1, typename Linear_System2>
-void
-Polyhedron::add_space_dimensions(Linear_System1& sys1,
- Linear_System2& sys2,
- Bit_Matrix& sat1,
- Bit_Matrix& sat2,
- dimension_type add_dim) {
-
- typedef typename Linear_System2::row_type sys2_row_type;
-
- PPL_ASSERT(sys1.topology() == sys2.topology());
- PPL_ASSERT(sys1.space_dimension() == sys2.space_dimension());
- PPL_ASSERT(add_dim != 0);
-
- sys1.set_space_dimension(sys1.space_dimension() + add_dim);
- sys2.add_universe_rows_and_space_dimensions(add_dim);
-
- // The resulting saturation matrix will be as follows:
- // from row 0 to add_dim-1 : only zeroes
- // add_dim add_dim+num_rows-1 : old saturation matrix
-
- // In fact all the old generators saturate all the new constraints
- // because the polyhedron has not been embedded in the new space.
- sat1.resize(sat1.num_rows() + add_dim, sat1.num_columns());
- // The old matrix is moved to the end of the new matrix.
- for (dimension_type i = sat1.num_rows() - add_dim; i-- > 0; )
- swap(sat1[i], sat1[i+add_dim]);
- // Computes the "sat_c", too.
- sat2.transpose_assign(sat1);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_chdims_templates_hh)
diff --git a/src/Polyhedron_chdims_templates.hh b/src/Polyhedron_chdims_templates.hh
new file mode 100644
index 0000000..77692c3
--- /dev/null
+++ b/src/Polyhedron_chdims_templates.hh
@@ -0,0 +1,63 @@
+/* Polyhedron class implementation (non-inline template operators that
+ may change the dimension of the vector space).
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_chdims_templates_hh
+#define PPL_Polyhedron_chdims_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Linear_System1, typename Linear_System2>
+void
+Polyhedron::add_space_dimensions(Linear_System1& sys1,
+ Linear_System2& sys2,
+ Bit_Matrix& sat1,
+ Bit_Matrix& sat2,
+ dimension_type add_dim) {
+
+ typedef typename Linear_System2::row_type sys2_row_type;
+
+ PPL_ASSERT(sys1.topology() == sys2.topology());
+ PPL_ASSERT(sys1.space_dimension() == sys2.space_dimension());
+ PPL_ASSERT(add_dim != 0);
+
+ sys1.set_space_dimension(sys1.space_dimension() + add_dim);
+ sys2.add_universe_rows_and_space_dimensions(add_dim);
+
+ // The resulting saturation matrix will be as follows:
+ // from row 0 to add_dim-1 : only zeroes
+ // add_dim add_dim+num_rows-1 : old saturation matrix
+
+ // In fact all the old generators saturate all the new constraints
+ // because the polyhedron has not been embedded in the new space.
+ sat1.resize(sat1.num_rows() + add_dim, sat1.num_columns());
+ // The old matrix is moved to the end of the new matrix.
+ for (dimension_type i = sat1.num_rows() - add_dim; i-- > 0; )
+ swap(sat1[i], sat1[i+add_dim]);
+ // Computes the "sat_c", too.
+ sat2.transpose_assign(sat1);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_chdims_templates_hh)
diff --git a/src/Polyhedron_conversion.templates.hh b/src/Polyhedron_conversion.templates.hh
deleted file mode 100644
index 0f2451d..0000000
--- a/src/Polyhedron_conversion.templates.hh
+++ /dev/null
@@ -1,919 +0,0 @@
-/* Polyhedron class implementation: conversion().
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_conversion_templates_hh
-#define PPL_Polyhedron_conversion_templates_hh 1
-
-#include "Bit_Row.defs.hh"
-#include "Bit_Matrix.defs.hh"
-#include "Polyhedron.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "Temp.defs.hh"
-#include "math_utilities.defs.hh"
-
-#include <cstddef>
-#include <climits>
-
-namespace Parma_Polyhedra_Library {
-
-/*!
- \return
- The number of lines of the polyhedron or the number of equality
- constraints in the result of conversion.
-
- \param source
- The system to use to convert \p dest: it may be modified;
-
- \param start
- The index of \p source row from which conversion begin;
-
- \param dest
- The result of the conversion;
-
- \param sat
- The saturation matrix telling us, for each row in \p source, which
- are the rows of \p dest that satisfy but do not saturate it;
-
- \param num_lines_or_equalities
- The number of rows in the system \p dest that are either lines of
- the polyhedron (when \p dest is a system of generators) or equality
- constraints (when \p dest is a system of constraints).
-
- For simplicity, all the following comments assume we are converting a
- constraint system \p source to a generator system \p dest;
- the comments for the symmetric case can be obtained by duality.
-
- If some of the constraints in \p source are redundant, they will be removed.
- This is why the \p source is not declared to be a constant parameter.
-
- If \p start is 0, then \p source is a sorted system; also, \p dest is
- a generator system corresponding to an empty constraint system.
- If otherwise \p start is greater than 0, then the two sub-systems of
- \p source made by the non-pending rows and the pending rows, respectively,
- are both sorted; also, \p dest is the generator system corresponding to
- the non-pending constraints of \p source.
-
- Independently from the value of \p start, \p dest has lines from index 0
- to index \p num_lines_or_equalities - 1 and rays/points from index
- \p num_lines_or_equalities to the last of its rows.
-
- Note that here the rows of \p sat are indexed by rows of \p dest
- and its columns are indexed by rows of \p source.
-
- We know that polyhedra can be represented by both a system of
- constraints or a system of generators (points, rays and lines)
- (see Section \ref representation).
- When we have both descriptions for a polyhedron \f$P\f$
- we have what is called a <EM>double description</EM>
- (or <EM>DD pair</EM>) for \f$P\f$.
-
- Here, the <EM>representation system</EM> refers to the system \f$C\f$
- whose rows represent the constraints that characterize \f$P\f$
- and the <EM>generating system</EM>, the system \f$G\f$ whose rows
- represent the generators of \f$P\f$.
- We say that a pair \f$(C, G)\f$ of (real) systems is
- a <EM>double description pair</EM> if
- \f[
- C\vect{x} \geq \vect{0}
- \quad\iff\quad
- \exists \vect{\lambda} \geq \vect{0} \mathrel{.}
- \vect{x} = G\vect{\lambda}.
- \f]
-
- The term "double description" is quite natural in the sense that
- such a pair contains two different description of the same object.
- In fact, if we refer to the cone representation of a polyhedron \f$P\f$
- and we call \f$C\f$ and \f$G\f$ the systems of constraints and
- rays respectively, we have
- \f[
- P = \{\, \vect{x} \in \Rset^n \mid C\vect{x} \geq \vect{0}\, \}
- = \{\, \vect{x} \in \Rset^n \mid \vect{x} = G\vect{\lambda}
- \text{ for some } \vect{\lambda} \geq \vect{0}\, \}.
- \f]
-
- Because of the theorem of Minkowski (see Section \ref prelims),
- we can say that, given a \f$m \times n\f$ representation system
- \f$C\f$ such that
- \f$\mathop{\mathrm{rank}}(C) = n = \mathit{dimension of the whole space}\f$
- for a non-empty polyhedron \f$P\f$,
- it is always possible to find a generating system \f$G\f$ for \f$P\f$
- such that \f$(C, G)\f$ is a DD pair.
- Conversely, Weyl's theorem ensures that, for each generating system
- \f$G\f$, it is possible to find a representation system \f$C\f$
- such that \f$(C, G)\f$ is a DD pair.
-
- For efficiency reasons, our representation of polyhedra makes use
- of a double description.
- We are thus left with two problems:
- -# given \f$C\f$ find \f$G\f$ such that \f$(C, G)\f$ is a DD pair;
- -# given \f$G\f$ find \f$C\f$ such that \f$(C, G)\f$ is a DD pair.
-
- Using Farkas' Lemma we can prove that these two problems are
- computationally equivalent (i.e., linear-time reducible to each other).
- Farkas' Lemma establishes a fundamental property of vectors in
- \f$\Rset^n\f$ that, in a sense, captures the essence of duality.
- Consider a matrix \f$A \in \Rset^{m \times n}\f$ and let
- \f$\{ \vect{a}_1, \ldots, \vect{a}_m \}\f$ be its set of row vectors.
- Consider also another vector \f$\vect{c} \in \Rset^n\f$ such that,
- whenever a vector \f$\vect{y} \in \Rset^n\f$ has a non-negative projection
- on the \f$\vect{a}_i\f$'s, it also has a non-negative projection
- on \f$\vect{c}\f$.
- The lemma states that \f$\vect{c}\f$ has this property if and only if
- it is in the cone generated by the \f$\vect{a}_i\f$'s.
- Formally, the lemma states the equivalence of the two following
- assertions:
- -# \f$
- \forall \vect{y}
- \mathrel{:} (A\vect{y} \geq 0 \implies
- \langle \vect{y},\vect{c} \rangle \geq 0)
- \f$;
- -# \f$
- \exists \vect{\lambda} \geq \vect{0}
- \mathrel{.} \vect{c}^\mathrm{T} = \vect{\lambda}^\mathrm{T}A
- \f$.
-
- With this result we can prove that \f$(C, G)\f$ is a DD pair
- if and only if \f$(G^\mathrm{T}, C^\mathrm{T})\f$ is a DD pair.
-
- Suppose \f$(C, G)\f$ is a DD pair.
- Thus, for each \f$x\f$ of the appropriate dimension,
- \f$C\vect{x} \geq \vect{0}\f$ if and only if
- \f$\exists \lambda \geq 0 \mathrel{.} \vect{x} = G\vect{\lambda}\f$,
- which is of course equivalent to
- \f$
- \exists \vect{\lambda} \geq \vect{0}
- \mathrel{.} \vect{x}^\mathrm{T} = \vect{\lambda}^\mathrm{T}G^\mathrm{T}
- \f$.
-
- First, we assume that \f$\vect{z}\f$ is such that
- \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$
- and we will show that
- \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
- \vect{z} = C^\mathrm{T}\vect{\mu}\f$.
- Let \f$\vect{x}\f$ be such that \f$C\vect{x} \geq \vect{0}\f$.
- Since \f$(C, G)\f$ is a DD pair, this is equivalent to
- \f$
- \exists \vect{\lambda} \geq \vect{0}
- \mathrel{.} \vect{x}^\mathrm{T} = \vect{\lambda}^\mathrm{T}G^\mathrm{T}
- \f$,
- which, by Farkas' Lemma is equivalent to
- \f$
- \forall \vect{y} \mathrel{:} (G^\mathrm{T}\vect{y} \geq \vect{0} \implies
- \langle \vect{y}, \vect{x} \rangle \geq 0)
- \f$.
- Taking \f$\vect{y} = \vect{z}\f$ and recalling our assumption that
- \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$
- we can conclude that \f$\langle \vect{z}, \vect{x} \rangle \geq 0\f$,
- that is equivalent to \f$\langle \vect{x}, \vect{z} \rangle \geq 0\f$.
- We have thus established that
- \f$
- \forall \vect{x} \mathrel{:} (C\vect{x} \geq \vect{0} \implies
- \langle \vect{x}, \vect{z} \rangle \geq 0)
- \f$.
- By Farkas' Lemma, this is equivalent to
- \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
- \vect{z}^\mathrm{T} = \vect{\mu}^\mathrm{T} C\f$,
- which is equivalent to what we wanted to prove, that is,
- \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
- \vect{z} = C^\mathrm{T}\vect{\mu}\f$.
-
- In order to prove the reverse implication, the following observation
- turns out to be useful:
- when \f$(C, G)\f$ is a DD pair, \f$CG \geq 0\f$.
- In fact,
- let \f$\vect{e}_j\f$ be the vector whose components are all \f$0\f$
- apart from the \f$j\f$-th one, which is \f$1\f$.
- Clearly \f$\vect{e}_j \geq \vect{0}\f$ and, taking
- \f$\vect{\lambda} = \vect{e}_j\f$ and
- \f$\vect{x} = G\vect{\lambda} = G \vect{e}_j\f$, we have
- \f$C\vect{x} = C(G \vect{e}_j) = (CG)\vect{e}_j \geq \vect{0}\f$,
- since \f$(C, G)\f$ is a DD pair.
- Thus, as \f$(CG)\vect{e}_j\f$ is the \f$j\f$-th column of \f$CG\f$
- and since the choice of \f$j\f$ was arbitrary, \f$CG \geq \vect{0}\f$.
-
- We now assume that \f$\vect{z}\f$ is such that
- \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
- \vect{z} = C^\mathrm{T}\vect{\mu}\f$
- and we will prove that \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$.
- By Farkas' Lemma, the assumption
- \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
- \vect{z}^\mathrm{T} = \vect{\mu}^\mathrm{T}C\f$,
- is equivalent to
- \f$\forall \vect{y} \mathrel{:} (C\vect{y} \geq \vect{0}
- \implies \langle \vect{y}, \vect{z} \rangle \geq 0)\f$.
- If we take \f$\vect{y} = G\vect{e}_j\f$ then \f$C\vect{y}
- = CG\vect{e}_j \geq 0\f$,
- since \f$CG \geq \vect{0}\f$.
- So
- \f$
- \langle \vect{y}, \vect{z} \rangle
- = (\vect{e}_j^\mathrm{T}G^\mathrm{T}) \vect{z}
- = \vect{e}_j^\mathrm{T}(G^\mathrm{T} \vect{z})
- \geq 0
- \f$,
- that is, the \f$j\f$-th component of \f$G^\mathrm{T}\vect{z}\f$
- is non-negative. The arbitrary choice of \f$j\f$ allows us to conclude
- that \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$, as required.
-
- In view of this result, the following exposition assumes, for clarity,
- that the conversion being performed is from constraints to generators.
- Thus, even if the roles of \p source and \p dest can be interchanged,
- in the sequel we assume the \p source system will contain the constraints
- that represent the polyhedron and the \p dest system will contain
- the generator that generates it.
-
- There are some observations that are useful to understand this function:
-
- Observation 1: Let \f$A\f$ be a system of constraints that generate
- the polyhedron \f$P\f$ and \f$\vect{c}\f$ a new constraint that must
- be added. Suppose that there is a line \f$\vect{z}\f$ that does not
- saturate the constraint \f$\vect{c}\f$. If we combine the old lines
- and rays that do not saturate \f$\vect{c}\f$ (except \f$\vect{z}\f$)
- with \f$\vect{z}\f$ such that the new ones saturate \f$\vect{c}\f$,
- the new lines and rays also saturate the constraints saturated by
- the old lines and rays.
-
- In fact, if \f$\vect{y}_1\f$ is the old generator that does not saturate
- \f$\vect{c}\f$, \f$\vect{y}_2\f$ is the new one such that
- \f[
- \vect{y}_2 = \lambda \vect{y}_1 + \mu \vect{z}
- \f]
- and \f$\vect{c}_1\f$ is a previous constraint that \f$\vect{y}_1\f$
- and \f$\vect{z}\f$ saturates, we can see
- \f[
- \langle \vect{c}_1, \vect{y}_2 \rangle
- = \langle \vect{c}_1, (\lambda \vect{y}_1 + \mu \vect{z}) \rangle
- = \lambda \langle \vect{c}_1, \vect{y}_1 \rangle
- + \mu \langle \vect{c}_1, \vect{z} \rangle
- = 0 + \mu \langle \vect{c}_1, \vect{z} \rangle
- = \mu \langle \vect{c}_1, \vect{z} \rangle
- \f]
- and
- \f[
- \mu \langle \vect{c}_1, \vect{z} \rangle = 0.
- \f]
-
- Proposition 1: Let \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ be distinct
- rays of \f$P\f$.
- Then the following statements are equivalent:
- a) \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are adjacent extreme rays
- (see Section \ref prelims);
- b) \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are extreme rays and the
- rank of the system composed by the constraints saturated by both
- \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ is equal to
- \f$d - 2\f$, where \f$d\f$ is the rank of the system of constraints.
-
- In fact, let \f$F\f$ be the system of generators that saturate the
- constraints saturated by both \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$.
- If b) holds, the set \f$F\f$ is 2-dimensional and \f$\vect{r}_1\f$ and
- \f$\vect{r}_2\f$ generate this set. So, every generator
- \f$\vect{x}\f$ of \f$F\f$ can be built as a combination of
- \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$, i.e.
- \f[
- \vect{x} = \lambda \vect{r}_1 + \mu \vect{r}_2.
- \f]
- This combination is non-negative because there exists at least a
- constraint \f$c\f$ saturated by \f$\vect{r}_1\f$ and not
- \f$\vect{r}_2\f$ (or vice versa) (because they are distinct) for which
- \f[
- \langle \vect{c}, \vect{x} \rangle \geq 0
- \f]
- and
- \f[
- \langle \vect{c}, \vect{x} \rangle
- = \lambda \langle \vect{c}, \vect{r}_1 \rangle
- (or = \mu \langle \vect{c}, \vect{r}_2 \rangle).
- \f]
- So, there is no other extreme ray in \f$F\f$ and a) holds.
- Otherwise, if b) does not hold, the rank of the system generated by
- the constraints saturated by both \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$
- is equal to \f$d - k\f$, with \p k \>= 3, the set \f$F\f$ is
- \p k -dimensional and at least \p k extreme rays are necessary
- to generate \f$F\f$.
- So, \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are not adjacent and
- a) does not hold.
-
- Proposition 2: When we build the new system of generators starting from
- a system \f$A\f$ of constraints of \f$P\f$, if \f$\vect{c}\f$ is the
- constraint to add to \f$A\f$ and all lines of \f$P\f$ saturate
- \f$\vect{c}\f$, the new set of rays is the union of those rays that
- saturate, of those that satisfy and of a set \f$\overline Q\f$ of
- rays such that each of them
- -# lies on the hyper-plane represented by the k-th constraint,
- -# is a positive combination of two adjacent rays \f$\vect{r}_1\f$ and
- \f$\vect{r}_2\f$ such that the first one satisfies the constraint and
- the other does not satisfy it.
- If the adjacency property is not taken in account, the new set of
- rays is not irredundant, in general.
-
- In fact, if \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are not adjacent,
- the rank of the system composed by the constraints saturated by both
- \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ is different from \f$d - 2\f$
- (see the previous proposition) or neither \f$\vect{r}_1\f$ nor
- \f$\vect{r}_2\f$ are extreme rays. Since the new ray \f$\vect{r}\f$
- is a combination of \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$,
- it saturates the same constraints saturated by both \f$\vect{r}_1\f$ and
- \f$\vect{r}_2\f$.
- If the rank is less than \f$d - 2\f$, the rank of
- the system composed by \f$\vect{c}\f$ (that is saturated by \f$\vect{r}\f$)
- and by the constraints of \f$A\f$ saturated by \f$\vect{r}\f$ is less
- than \f$d - 1\f$. It means that \f$r\f$ is redundant (see
- Section \ref prelims).
- If neither \f$\vect{r}_1\f$ nor \f$\vect{r}_2\f$ are extreme rays,
- they belong to a 2-dimensional face containing exactly two extreme rays
- of \f$P\f$.
- These two adjacent rays build a ray equal to \f$\vect{r}\f$ and so
- \f$\vect{r}\f$ is redundant.
-*/
-template <typename Source_Linear_System, typename Dest_Linear_System>
-dimension_type
-Polyhedron::conversion(Source_Linear_System& source,
- const dimension_type start,
- Dest_Linear_System& dest,
- Bit_Matrix& sat,
- dimension_type num_lines_or_equalities) {
- typedef typename Dest_Linear_System::row_type dest_row_type;
- typedef typename Source_Linear_System::row_type source_row_type;
-
- // Constraints and generators must have the same dimension,
- // otherwise the scalar products below will bomb.
- PPL_ASSERT(source.space_dimension() == dest.space_dimension());
- const dimension_type source_space_dim = source.space_dimension();
- const dimension_type source_num_rows = source.num_rows();
- const dimension_type source_num_columns = source_space_dim
- + (source.is_necessarily_closed() ? 1 : 2);
-
-
- dimension_type dest_num_rows = dest.num_rows();
- // The rows removed from `dest' will be placed in this vector, so they
- // can be recycled if needed.
- std::vector<dest_row_type> recyclable_dest_rows;
-
- using std::swap;
-
- // By construction, the number of columns of `sat' is the same as
- // the number of rows of `source'; also, the number of rows of `sat'
- // is the same as the number of rows of `dest'.
- PPL_ASSERT(source_num_rows == sat.num_columns());
- PPL_ASSERT(dest_num_rows == sat.num_rows());
-
- // If `start > 0', then we are converting the pending constraints.
- PPL_ASSERT(start == 0 || start == source.first_pending_row());
-
- PPL_DIRTY_TEMP_COEFFICIENT(normalized_sp_i);
- PPL_DIRTY_TEMP_COEFFICIENT(normalized_sp_o);
-
- bool dest_sorted = dest.is_sorted();
- const dimension_type dest_first_pending_row = dest.first_pending_row();
-
- // This will contain the row indexes of the redundant rows of `source'.
- std::vector<dimension_type> redundant_source_rows;
-
- // Converting the sub-system of `source' having rows with indexes
- // from `start' to the last one (i.e., `source_num_rows' - 1).
- for (dimension_type k = start; k < source_num_rows; ++k) {
- const source_row_type& source_k = source[k];
-
- // `scalar_prod[i]' will contain the scalar product of the
- // constraint `source_k' and the generator `dest_rows[i]'. This
- // product is 0 if and only if the generator saturates the
- // constraint.
- PPL_DIRTY_TEMP(std::vector<Coefficient>, scalar_prod);
- if (dest_num_rows > scalar_prod.size()) {
- scalar_prod.insert(scalar_prod.end(),
- dest_num_rows - scalar_prod.size(),
- Coefficient_zero());
- }
- // `index_non_zero' will indicate the first generator in `dest_rows'
- // that does not saturate the constraint `source_k'.
- dimension_type index_non_zero = 0;
- for ( ; index_non_zero < dest_num_rows; ++index_non_zero) {
- WEIGHT_BEGIN();
- Scalar_Products::assign(scalar_prod[index_non_zero],
- source_k,
- dest.sys.rows[index_non_zero]);
- WEIGHT_ADD_MUL(17, source_space_dim);
- if (scalar_prod[index_non_zero] != 0)
- // The generator does not saturate the constraint.
- break;
- // Check if the client has requested abandoning all expensive
- // computations. If so, the exception specified by the client
- // is thrown now.
- maybe_abandon();
- }
- for (dimension_type i = index_non_zero + 1; i < dest_num_rows; ++i) {
- WEIGHT_BEGIN();
- Scalar_Products::assign(scalar_prod[i], source_k, dest.sys.rows[i]);
- WEIGHT_ADD_MUL(25, source_space_dim);
- // Check if the client has requested abandoning all expensive
- // computations. If so, the exception specified by the client
- // is thrown now.
- maybe_abandon();
- }
-
- // We first treat the case when `index_non_zero' is less than
- // `num_lines_or_equalities', i.e., when the generator that
- // does not saturate the constraint `source_k' is a line.
- // The other case (described later) is when all the lines
- // in `dest_rows' (i.e., all the rows having indexes less than
- // `num_lines_or_equalities') do saturate the constraint.
-
- if (index_non_zero < num_lines_or_equalities) {
- // Since the generator `dest_rows[index_non_zero]' does not saturate
- // the constraint `source_k', it can no longer be a line
- // (see saturation rule in Section \ref prelims).
- // Therefore, we first transform it to a ray.
- dest.sys.rows[index_non_zero].set_is_ray_or_point_or_inequality();
- // Of the two possible choices, we select the ray satisfying
- // the constraint (namely, the ray whose scalar product
- // with the constraint gives a positive result).
- if (scalar_prod[index_non_zero] < 0) {
- // The ray `dest_rows[index_non_zero]' lies on the wrong half-space:
- // we change it to have the opposite direction.
- neg_assign(scalar_prod[index_non_zero]);
- neg_assign(dest.sys.rows[index_non_zero].expr);
- // The modified row may still not be OK(), so don't assert OK here.
- // They are all checked at the end of this function.
- }
- // Having changed a line to a ray, we set `dest_rows' to be a
- // non-sorted system, we decrement the number of lines of `dest_rows'
- // and, if necessary, we move the new ray below all the remaining lines.
- dest_sorted = false;
- --num_lines_or_equalities;
- if (index_non_zero != num_lines_or_equalities) {
- swap(dest.sys.rows[index_non_zero],
- dest.sys.rows[num_lines_or_equalities]);
- swap(scalar_prod[index_non_zero],
- scalar_prod[num_lines_or_equalities]);
- }
- const dest_row_type& dest_nle = dest.sys.rows[num_lines_or_equalities];
-
- // Computing the new lineality space.
- // Since each line must lie on the hyper-plane corresponding to
- // the constraint `source_k', the scalar product between
- // the line and the constraint must be 0.
- // This property already holds for the lines having indexes
- // between 0 and `index_non_zero' - 1.
- // We have to consider the remaining lines, having indexes
- // between `index_non_zero' and `num_lines_or_equalities' - 1.
- // Each line that does not saturate the constraint has to be
- // linearly combined with generator `dest_nle' so that the
- // resulting new line saturates the constraint.
- // Note that, by Observation 1 above, the resulting new line
- // will still saturate all the constraints that were saturated by
- // the old line.
-
- Coefficient& scalar_prod_nle = scalar_prod[num_lines_or_equalities];
- PPL_ASSERT(scalar_prod_nle != 0);
- for (dimension_type
- i = index_non_zero; i < num_lines_or_equalities; ++i) {
- if (scalar_prod[i] != 0) {
- // The following fragment optimizes the computation of
- //
- // <CODE>
- // Coefficient scale = scalar_prod[i];
- // scale.gcd_assign(scalar_prod_nle);
- // Coefficient normalized_sp_i = scalar_prod[i] / scale;
- // Coefficient normalized_sp_n = scalar_prod_nle / scale;
- // for (dimension_type c = dest_num_columns; c-- > 0; ) {
- // dest[i][c] *= normalized_sp_n;
- // dest[i][c] -= normalized_sp_i * dest_nle[c];
- // }
- // </CODE>
- normalize2(scalar_prod[i],
- scalar_prod_nle,
- normalized_sp_i,
- normalized_sp_o);
- dest_row_type& dest_i = dest.sys.rows[i];
- neg_assign(normalized_sp_i);
- dest_i.expr.linear_combine(dest_nle.expr,
- normalized_sp_o, normalized_sp_i);
- dest_i.strong_normalize();
- // The modified row may still not be OK(), so don't assert OK here.
- // They are all checked at the end of this function.
- scalar_prod[i] = 0;
- // dest_sorted has already been set to false.
- }
- }
-
- // Computing the new pointed cone.
- // Similarly to what we have done during the computation of
- // the lineality space, we consider all the remaining rays
- // (having indexes strictly greater than `num_lines_or_equalities')
- // that do not saturate the constraint `source_k'. These rays
- // are positively combined with the ray `dest_nle' so that the
- // resulting new rays saturate the constraint.
- for (dimension_type
- i = num_lines_or_equalities + 1; i < dest_num_rows; ++i) {
- if (scalar_prod[i] != 0) {
- // The following fragment optimizes the computation of
- //
- // <CODE>
- // Coefficient scale = scalar_prod[i];
- // scale.gcd_assign(scalar_prod_nle);
- // Coefficient normalized_sp_i = scalar_prod[i] / scale;
- // Coefficient normalized_sp_n = scalar_prod_nle / scale;
- // for (dimension_type c = dest_num_columns; c-- > 0; ) {
- // dest[i][c] *= normalized_sp_n;
- // dest[i][c] -= normalized_sp_i * dest_nle[c];
- // }
- // </CODE>
- normalize2(scalar_prod[i],
- scalar_prod_nle,
- normalized_sp_i,
- normalized_sp_o);
- dest_row_type& dest_i = dest.sys.rows[i];
- WEIGHT_BEGIN();
- neg_assign(normalized_sp_i);
- dest_i.expr.linear_combine(dest_nle.expr,
- normalized_sp_o, normalized_sp_i);
- dest_i.strong_normalize();
- // The modified row may still not be OK(), so don't assert OK here.
- // They are all checked at the end of this function.
- scalar_prod[i] = 0;
- // `dest_sorted' has already been set to false.
- WEIGHT_ADD_MUL(41, source_space_dim);
- }
- // Check if the client has requested abandoning all expensive
- // computations. If so, the exception specified by the client
- // is thrown now.
- maybe_abandon();
- }
- // Since the `scalar_prod_nle' is positive (by construction), it
- // does not saturate the constraint `source_k'. Therefore, if
- // the constraint is an inequality, we set to 1 the
- // corresponding element of `sat' ...
- Bit_Row& sat_nle = sat[num_lines_or_equalities];
- if (source_k.is_ray_or_point_or_inequality())
- sat_nle.set(k - redundant_source_rows.size());
- // ... otherwise, the constraint is an equality which is
- // violated by the generator `dest_nle': the generator has to be
- // removed from `dest_rows'.
- else {
- --dest_num_rows;
- swap(dest.sys.rows[num_lines_or_equalities],
- dest.sys.rows[dest_num_rows]);
- recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
- swap(dest.sys.rows.back(), recyclable_dest_rows.back());
- dest.sys.rows.pop_back();
- PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
-
- swap(scalar_prod_nle, scalar_prod[dest_num_rows]);
- swap(sat_nle, sat[dest_num_rows]);
- // dest_sorted has already been set to false.
- }
- }
- // Here we have `index_non_zero' >= `num_lines_or_equalities',
- // so that all the lines in `dest_rows' saturate the constraint `source_k'.
- else {
- // First, we reorder the generators in `dest_rows' as follows:
- // -# all the lines should have indexes between 0 and
- // `num_lines_or_equalities' - 1 (this already holds);
- // -# all the rays that saturate the constraint should have
- // indexes between `num_lines_or_equalities' and
- // `lines_or_equal_bound' - 1; these rays form the set Q=.
- // -# all the rays that have a positive scalar product with the
- // constraint should have indexes between `lines_or_equal_bound'
- // and `sup_bound' - 1; these rays form the set Q+.
- // -# all the rays that have a negative scalar product with the
- // constraint should have indexes between `sup_bound' and
- // `dest_num_rows' - 1; these rays form the set Q-.
- dimension_type lines_or_equal_bound = num_lines_or_equalities;
- dimension_type inf_bound = dest_num_rows;
- // While we find saturating generators, we simply increment
- // `lines_or_equal_bound'.
- while (inf_bound > lines_or_equal_bound
- && scalar_prod[lines_or_equal_bound] == 0)
- ++lines_or_equal_bound;
- dimension_type sup_bound = lines_or_equal_bound;
- while (inf_bound > sup_bound) {
- const int sp_sign = sgn(scalar_prod[sup_bound]);
- if (sp_sign == 0) {
- // This generator has to be moved in Q=.
- swap(dest.sys.rows[sup_bound], dest.sys.rows[lines_or_equal_bound]);
- swap(scalar_prod[sup_bound], scalar_prod[lines_or_equal_bound]);
- swap(sat[sup_bound], sat[lines_or_equal_bound]);
- ++lines_or_equal_bound;
- ++sup_bound;
- dest_sorted = false;
- }
- else if (sp_sign < 0) {
- // This generator has to be moved in Q-.
- --inf_bound;
- swap(dest.sys.rows[sup_bound], dest.sys.rows[inf_bound]);
- swap(sat[sup_bound], sat[inf_bound]);
- swap(scalar_prod[sup_bound], scalar_prod[inf_bound]);
- dest_sorted = false;
- }
- else
- // sp_sign > 0: this generator has to be moved in Q+.
- ++sup_bound;
- }
-
- if (sup_bound == dest_num_rows) {
- // Here the set Q- is empty.
- // If the constraint is an inequality, then all the generators
- // in Q= and Q+ satisfy the constraint. The constraint is redundant
- // and it can be safely removed from the constraint system.
- // This is why the `source' parameter is not declared `const'.
- if (source_k.is_ray_or_point_or_inequality()) {
- redundant_source_rows.push_back(k);
- } else {
- // The constraint is an equality, so that all the generators
- // in Q+ violate it. Since the set Q- is empty, we can simply
- // remove from `dest_rows' all the generators of Q+.
- PPL_ASSERT(dest_num_rows >= lines_or_equal_bound);
- while (dest_num_rows != lines_or_equal_bound) {
- recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
- swap(dest.sys.rows.back(), recyclable_dest_rows.back());
- dest.sys.rows.pop_back();
- --dest_num_rows;
- }
- PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
- }
- }
- else {
- // The set Q- is not empty, i.e., at least one generator
- // violates the constraint `source_k'.
- // We have to further distinguish two cases:
- if (sup_bound == num_lines_or_equalities) {
- // The set Q+ is empty, so that all generators that satisfy
- // the constraint also saturate it.
- // We can simply remove from `dest_rows' all the generators in Q-.
- PPL_ASSERT(dest_num_rows >= sup_bound);
- while (dest_num_rows != sup_bound) {
- recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
- swap(dest.sys.rows.back(), recyclable_dest_rows.back());
- dest.sys.rows.pop_back();
- --dest_num_rows;
- }
- PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
- } else {
- // The sets Q+ and Q- are both non-empty.
- // The generators of the new pointed cone are all those satisfying
- // the constraint `source_k' plus a set of new rays enjoying
- // the following properties:
- // -# they lie on the hyper-plane represented by the constraint
- // -# they are obtained as a positive combination of two
- // adjacent rays, the first taken from Q+ and the second
- // taken from Q-.
-
- // The adjacency property is necessary to have an irredundant
- // set of new rays (see proposition 2).
- const dimension_type bound = dest_num_rows;
-
- // In the following loop,
- // `i' runs through the generators in the set Q+ and
- // `j' runs through the generators in the set Q-.
- for (dimension_type i = lines_or_equal_bound; i < sup_bound; ++i) {
- for(dimension_type j = sup_bound; j < bound; ++j) {
- // Checking if generators `dest_rows[i]' and `dest_rows[j]' are
- // adjacent.
- // If there exist another generator that saturates
- // all the constraints saturated by both `dest_rows[i]' and
- // `dest_rows[j]', then they are NOT adjacent.
- PPL_ASSERT(sat[i].last() == C_Integer<unsigned long>::max
- || sat[i].last() < k);
- PPL_ASSERT(sat[j].last() == C_Integer<unsigned long>::max
- || sat[j].last() < k);
-
- // Being the union of `sat[i]' and `sat[j]',
- // `new_satrow' corresponds to a ray that saturates all the
- // constraints saturated by both `dest_rows[i]' and
- // `dest_rows[j]'.
- Bit_Row new_satrow(sat[i], sat[j]);
-
- // Compute the number of common saturators.
- // NOTE: this number has to be less than `k' because
- // we are treating the `k'-th constraint.
- const dimension_type num_common_satur
- = k - redundant_source_rows.size() - new_satrow.count_ones();
-
- // Even before actually creating the new ray as a
- // positive combination of `dest_rows[i]' and `dest_rows[j]',
- // we exploit saturation information to check if
- // it can be an extremal ray. To this end, we refer
- // to the definition of a minimal proper face
- // (see comments in Polyhedron.defs.hh):
- // an extremal ray saturates at least `n' - `t' - 1
- // constraints, where `n' is the dimension of the space
- // and `t' is the dimension of the lineality space.
- // Since `n == source_num_columns - 1' and
- // `t == num_lines_or_equalities', we obtain that
- // an extremal ray saturates at least
- // `source_num_columns - num_lines_or_equalities - 2'
- // constraints.
- if (num_common_satur
- >= source_num_columns - num_lines_or_equalities - 2) {
- // The minimal proper face rule is satisfied.
- // Now we actually check for redundancy by computing
- // adjacency information.
- bool redundant = false;
- WEIGHT_BEGIN();
- for (dimension_type
- l = num_lines_or_equalities; l < bound; ++l)
- if (l != i && l != j
- && subset_or_equal(sat[l], new_satrow)) {
- // Found another generator saturating all the
- // constraints saturated by both `dest_rows[i]' and
- // `dest_rows[j]'.
- redundant = true;
- break;
- }
- PPL_ASSERT(bound >= num_lines_or_equalities);
- WEIGHT_ADD_MUL(15, bound - num_lines_or_equalities);
- if (!redundant) {
- // Adding the new ray to `dest_rows' and the corresponding
- // saturation row to `sat'.
- dest_row_type new_row;
- if (recyclable_dest_rows.empty()) {
- sat.add_recycled_row(new_satrow);
- }
- else {
- swap(new_row, recyclable_dest_rows.back());
- recyclable_dest_rows.pop_back();
- new_row.set_space_dimension_no_ok(source_space_dim);
- swap(sat[dest_num_rows], new_satrow);
- }
-
- // The following fragment optimizes the computation of
- //
- // <CODE>
- // Coefficient scale = scalar_prod[i];
- // scale.gcd_assign(scalar_prod[j]);
- // Coefficient normalized_sp_i = scalar_prod[i] / scale;
- // Coefficient normalized_sp_j = scalar_prod[j] / scale;
- // for (dimension_type c = dest_num_columns; c-- > 0; ) {
- // new_row[c] = normalized_sp_i * dest[j][c];
- // new_row[c] -= normalized_sp_j * dest[i][c];
- // }
- // </CODE>
- normalize2(scalar_prod[i],
- scalar_prod[j],
- normalized_sp_i,
- normalized_sp_o);
- WEIGHT_BEGIN();
-
- neg_assign(normalized_sp_o);
- new_row = dest.sys.rows[j];
- // TODO: Check if the following assertions hold.
- PPL_ASSERT(normalized_sp_i != 0);
- PPL_ASSERT(normalized_sp_o != 0);
- new_row.expr.linear_combine(dest.sys.rows[i].expr,
- normalized_sp_i, normalized_sp_o);
-
- WEIGHT_ADD_MUL(86, source_space_dim);
- new_row.strong_normalize();
- // Don't assert new_row.OK() here, because it may fail if
- // the parameter `dest' contained a row that wasn't ok.
- // Since we added a new generator to `dest_rows',
- // we also add a new element to `scalar_prod';
- // by construction, the new ray lies on the hyper-plane
- // represented by the constraint `source_k'.
- // Thus, the added scalar product is 0.
- PPL_ASSERT(scalar_prod.size() >= dest_num_rows);
- if (scalar_prod.size() <= dest_num_rows)
- scalar_prod.push_back(Coefficient_zero());
- else
- scalar_prod[dest_num_rows] = Coefficient_zero();
-
- dest.sys.rows.resize(dest.sys.rows.size() + 1);
- swap(dest.sys.rows.back(), new_row);
- // Increment the number of generators.
- ++dest_num_rows;
- } // if (!redundant)
- }
- }
- // Check if the client has requested abandoning all expensive
- // computations. If so, the exception specified by the client
- // is thrown now.
- maybe_abandon();
- }
- // Now we substitute the rays in Q- (i.e., the rays violating
- // the constraint) with the newly added rays.
- dimension_type j;
- if (source_k.is_ray_or_point_or_inequality()) {
- // The constraint is an inequality:
- // the violating generators are those in Q-.
- j = sup_bound;
- // For all the generators in Q+, set to 1 the corresponding
- // entry for the constraint `source_k' in the saturation matrix.
-
- // After the removal of redundant rows in `source', the k-th
- // row will have index `new_k'.
- const dimension_type new_k = k - redundant_source_rows.size();
- for (dimension_type l = lines_or_equal_bound; l < sup_bound; ++l)
- sat[l].set(new_k);
- }
- else
- // The constraint is an equality:
- // the violating generators are those in the union of Q+ and Q-.
- j = lines_or_equal_bound;
-
- // Swapping the newly added rays
- // (index `i' running through `dest_num_rows - 1' down-to `bound')
- // with the generators violating the constraint
- // (index `j' running through `j' up-to `bound - 1').
- dimension_type i = dest_num_rows;
- while (j < bound && i > bound) {
- --i;
- swap(dest.sys.rows[i], dest.sys.rows[j]);
- swap(scalar_prod[i], scalar_prod[j]);
- swap(sat[i], sat[j]);
- ++j;
- dest_sorted = false;
- }
- // Setting the number of generators in `dest':
- // - if the number of generators violating the constraint
- // is less than or equal to the number of the newly added
- // generators, we assign `i' to `dest_num_rows' because
- // all generators above this index are significant;
- // - otherwise, we assign `j' to `dest_num_rows' because
- // all generators below index `j-1' violates the constraint.
- dimension_type new_num_rows = (j == bound) ? i : j;
- PPL_ASSERT(dest_num_rows >= new_num_rows);
- while (dest_num_rows != new_num_rows) {
- recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
- swap(dest.sys.rows.back(), recyclable_dest_rows.back());
- dest.sys.rows.pop_back();
- --dest_num_rows;
- }
- PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
- }
- }
- }
- }
-
- // We may have identified some redundant constraints in `source',
- // which have been swapped at the end of the system.
- if (redundant_source_rows.size() > 0) {
- source.remove_rows(redundant_source_rows);
- sat.remove_trailing_columns(redundant_source_rows.size());
- }
-
- // If `start == 0', then `source' was sorted and remained so.
- // If otherwise `start > 0', then the two sub-system made by the
- // non-pending rows and the pending rows, respectively, were both sorted.
- // Thus, the overall system is sorted if and only if either
- // `start == source_num_rows' (i.e., the second sub-system is empty)
- // or the row ordering holds for the two rows at the boundary between
- // the two sub-systems.
- if (start > 0 && start < source.num_rows())
- source.set_sorted(compare(source[start - 1], source[start]) <= 0);
- // There are no longer pending constraints in `source'.
- source.unset_pending_rows();
-
- // We may have identified some redundant rays in `dest_rows',
- // which have been swapped into recyclable_dest_rows.
- if (!recyclable_dest_rows.empty()) {
- const dimension_type num_removed_rows = recyclable_dest_rows.size();
- sat.remove_trailing_rows(num_removed_rows);
- }
- if (dest_sorted)
- // If the non-pending generators in `dest' are still declared to be
- // sorted, then we have to also check for the sortedness of the
- // pending generators.
- for (dimension_type i = dest_first_pending_row; i < dest_num_rows; ++i)
- if (compare(dest.sys.rows[i - 1], dest.sys.rows[i]) > 0) {
- dest_sorted = false;
- break;
- }
-
-#ifndef NDEBUG
- // The previous code can modify the rows' fields, exploiting the friendness.
- // Check that all rows are OK now.
- for (dimension_type i = dest.num_rows(); i-- > 0; )
- PPL_ASSERT(dest.sys.rows[i].OK());
-#endif
-
- dest.sys.index_first_pending = dest.num_rows();
- dest.set_sorted(dest_sorted);
- PPL_ASSERT(dest.sys.OK());
-
- return num_lines_or_equalities;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_conversion_templates_hh)
diff --git a/src/Polyhedron_conversion_templates.hh b/src/Polyhedron_conversion_templates.hh
new file mode 100644
index 0000000..f013b91
--- /dev/null
+++ b/src/Polyhedron_conversion_templates.hh
@@ -0,0 +1,921 @@
+/* Polyhedron class implementation: conversion().
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_conversion_templates_hh
+#define PPL_Polyhedron_conversion_templates_hh 1
+
+#include "Bit_Row_defs.hh"
+#include "Bit_Matrix_defs.hh"
+#include "Polyhedron_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "Temp_defs.hh"
+#include "math_utilities_defs.hh"
+
+#include <cstddef>
+#include <climits>
+
+namespace Parma_Polyhedra_Library {
+
+/*!
+ \return
+ The number of lines of the polyhedron or the number of equality
+ constraints in the result of conversion.
+
+ \param source
+ The system to use to convert \p dest: it may be modified;
+
+ \param start
+ The index of \p source row from which conversion begin;
+
+ \param dest
+ The result of the conversion;
+
+ \param sat
+ The saturation matrix telling us, for each row in \p source, which
+ are the rows of \p dest that satisfy but do not saturate it;
+
+ \param num_lines_or_equalities
+ The number of rows in the system \p dest that are either lines of
+ the polyhedron (when \p dest is a system of generators) or equality
+ constraints (when \p dest is a system of constraints).
+
+ For simplicity, all the following comments assume we are converting a
+ constraint system \p source to a generator system \p dest;
+ the comments for the symmetric case can be obtained by duality.
+
+ If some of the constraints in \p source are redundant, they will be removed.
+ This is why the \p source is not declared to be a constant parameter.
+
+ If \p start is 0, then \p source is a sorted system; also, \p dest is
+ a generator system corresponding to an empty constraint system.
+ If otherwise \p start is greater than 0, then the two sub-systems of
+ \p source made by the non-pending rows and the pending rows, respectively,
+ are both sorted; also, \p dest is the generator system corresponding to
+ the non-pending constraints of \p source.
+
+ Independently from the value of \p start, \p dest has lines from index 0
+ to index \p num_lines_or_equalities - 1 and rays/points from index
+ \p num_lines_or_equalities to the last of its rows.
+
+ Note that here the rows of \p sat are indexed by rows of \p dest
+ and its columns are indexed by rows of \p source.
+
+ We know that polyhedra can be represented by both a system of
+ constraints or a system of generators (points, rays and lines)
+ (see Section \ref representation).
+ When we have both descriptions for a polyhedron \f$P\f$
+ we have what is called a <EM>double description</EM>
+ (or <EM>DD pair</EM>) for \f$P\f$.
+
+ Here, the <EM>representation system</EM> refers to the system \f$C\f$
+ whose rows represent the constraints that characterize \f$P\f$
+ and the <EM>generating system</EM>, the system \f$G\f$ whose rows
+ represent the generators of \f$P\f$.
+ We say that a pair \f$(C, G)\f$ of (real) systems is
+ a <EM>double description pair</EM> if
+ \f[
+ C\vect{x} \geq \vect{0}
+ \quad\iff\quad
+ \exists \vect{\lambda} \geq \vect{0} \mathrel{.}
+ \vect{x} = G\vect{\lambda}.
+ \f]
+
+ The term "double description" is quite natural in the sense that
+ such a pair contains two different description of the same object.
+ In fact, if we refer to the cone representation of a polyhedron \f$P\f$
+ and we call \f$C\f$ and \f$G\f$ the systems of constraints and
+ rays respectively, we have
+ \f[
+ P = \{\, \vect{x} \in \Rset^n \mid C\vect{x} \geq \vect{0}\, \}
+ = \{\, \vect{x} \in \Rset^n \mid \vect{x} = G\vect{\lambda}
+ \text{ for some } \vect{\lambda} \geq \vect{0}\, \}.
+ \f]
+
+ Because of the theorem of Minkowski (see Section \ref prelims),
+ we can say that, given a \f$m \times n\f$ representation system
+ \f$C\f$ such that
+ \f$\mathop{\mathrm{rank}}(C) = n = \mathit{dimension of the whole space}\f$
+ for a non-empty polyhedron \f$P\f$,
+ it is always possible to find a generating system \f$G\f$ for \f$P\f$
+ such that \f$(C, G)\f$ is a DD pair.
+ Conversely, Weyl's theorem ensures that, for each generating system
+ \f$G\f$, it is possible to find a representation system \f$C\f$
+ such that \f$(C, G)\f$ is a DD pair.
+
+ For efficiency reasons, our representation of polyhedra makes use
+ of a double description.
+ We are thus left with two problems:
+ -# given \f$C\f$ find \f$G\f$ such that \f$(C, G)\f$ is a DD pair;
+ -# given \f$G\f$ find \f$C\f$ such that \f$(C, G)\f$ is a DD pair.
+
+ Using Farkas' Lemma we can prove that these two problems are
+ computationally equivalent (i.e., linear-time reducible to each other).
+ Farkas' Lemma establishes a fundamental property of vectors in
+ \f$\Rset^n\f$ that, in a sense, captures the essence of duality.
+ Consider a matrix \f$A \in \Rset^{m \times n}\f$ and let
+ \f$\{ \vect{a}_1, \ldots, \vect{a}_m \}\f$ be its set of row vectors.
+ Consider also another vector \f$\vect{c} \in \Rset^n\f$ such that,
+ whenever a vector \f$\vect{y} \in \Rset^n\f$ has a non-negative projection
+ on the \f$\vect{a}_i\f$'s, it also has a non-negative projection
+ on \f$\vect{c}\f$.
+ The lemma states that \f$\vect{c}\f$ has this property if and only if
+ it is in the cone generated by the \f$\vect{a}_i\f$'s.
+ Formally, the lemma states the equivalence of the two following
+ assertions:
+ -# \f$
+ \forall \vect{y}
+ \mathrel{:} (A\vect{y} \geq 0 \implies
+ \langle \vect{y},\vect{c} \rangle \geq 0)
+ \f$;
+ -# \f$
+ \exists \vect{\lambda} \geq \vect{0}
+ \mathrel{.} \vect{c}^\mathrm{T} = \vect{\lambda}^\mathrm{T}A
+ \f$.
+
+ With this result we can prove that \f$(C, G)\f$ is a DD pair
+ if and only if \f$(G^\mathrm{T}, C^\mathrm{T})\f$ is a DD pair.
+
+ Suppose \f$(C, G)\f$ is a DD pair.
+ Thus, for each \f$x\f$ of the appropriate dimension,
+ \f$C\vect{x} \geq \vect{0}\f$ if and only if
+ \f$\exists \lambda \geq 0 \mathrel{.} \vect{x} = G\vect{\lambda}\f$,
+ which is of course equivalent to
+ \f$
+ \exists \vect{\lambda} \geq \vect{0}
+ \mathrel{.} \vect{x}^\mathrm{T} = \vect{\lambda}^\mathrm{T}G^\mathrm{T}
+ \f$.
+
+ First, we assume that \f$\vect{z}\f$ is such that
+ \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$
+ and we will show that
+ \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
+ \vect{z} = C^\mathrm{T}\vect{\mu}\f$.
+ Let \f$\vect{x}\f$ be such that \f$C\vect{x} \geq \vect{0}\f$.
+ Since \f$(C, G)\f$ is a DD pair, this is equivalent to
+ \f$
+ \exists \vect{\lambda} \geq \vect{0}
+ \mathrel{.} \vect{x}^\mathrm{T} = \vect{\lambda}^\mathrm{T}G^\mathrm{T}
+ \f$,
+ which, by Farkas' Lemma is equivalent to
+ \f$
+ \forall \vect{y} \mathrel{:} (G^\mathrm{T}\vect{y} \geq \vect{0} \implies
+ \langle \vect{y}, \vect{x} \rangle \geq 0)
+ \f$.
+ Taking \f$\vect{y} = \vect{z}\f$ and recalling our assumption that
+ \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$
+ we can conclude that \f$\langle \vect{z}, \vect{x} \rangle \geq 0\f$,
+ that is equivalent to \f$\langle \vect{x}, \vect{z} \rangle \geq 0\f$.
+ We have thus established that
+ \f$
+ \forall \vect{x} \mathrel{:} (C\vect{x} \geq \vect{0} \implies
+ \langle \vect{x}, \vect{z} \rangle \geq 0)
+ \f$.
+ By Farkas' Lemma, this is equivalent to
+ \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
+ \vect{z}^\mathrm{T} = \vect{\mu}^\mathrm{T} C\f$,
+ which is equivalent to what we wanted to prove, that is,
+ \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
+ \vect{z} = C^\mathrm{T}\vect{\mu}\f$.
+
+ In order to prove the reverse implication, the following observation
+ turns out to be useful:
+ when \f$(C, G)\f$ is a DD pair, \f$CG \geq 0\f$.
+ In fact,
+ let \f$\vect{e}_j\f$ be the vector whose components are all \f$0\f$
+ apart from the \f$j\f$-th one, which is \f$1\f$.
+ Clearly \f$\vect{e}_j \geq \vect{0}\f$ and, taking
+ \f$\vect{\lambda} = \vect{e}_j\f$ and
+ \f$\vect{x} = G\vect{\lambda} = G \vect{e}_j\f$, we have
+ \f$C\vect{x} = C(G \vect{e}_j) = (CG)\vect{e}_j \geq \vect{0}\f$,
+ since \f$(C, G)\f$ is a DD pair.
+ Thus, as \f$(CG)\vect{e}_j\f$ is the \f$j\f$-th column of \f$CG\f$
+ and since the choice of \f$j\f$ was arbitrary, \f$CG \geq \vect{0}\f$.
+
+ We now assume that \f$\vect{z}\f$ is such that
+ \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
+ \vect{z} = C^\mathrm{T}\vect{\mu}\f$
+ and we will prove that \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$.
+ By Farkas' Lemma, the assumption
+ \f$\exists \vect{\mu} \geq \vect{0} \mathrel{.}
+ \vect{z}^\mathrm{T} = \vect{\mu}^\mathrm{T}C\f$,
+ is equivalent to
+ \f$\forall \vect{y} \mathrel{:} (C\vect{y} \geq \vect{0}
+ \implies \langle \vect{y}, \vect{z} \rangle \geq 0)\f$.
+ If we take \f$\vect{y} = G\vect{e}_j\f$ then \f$C\vect{y}
+ = CG\vect{e}_j \geq 0\f$,
+ since \f$CG \geq \vect{0}\f$.
+ So
+ \f$
+ \langle \vect{y}, \vect{z} \rangle
+ = (\vect{e}_j^\mathrm{T}G^\mathrm{T}) \vect{z}
+ = \vect{e}_j^\mathrm{T}(G^\mathrm{T} \vect{z})
+ \geq 0
+ \f$,
+ that is, the \f$j\f$-th component of \f$G^\mathrm{T}\vect{z}\f$
+ is non-negative. The arbitrary choice of \f$j\f$ allows us to conclude
+ that \f$G^\mathrm{T}\vect{z} \geq \vect{0}\f$, as required.
+
+ In view of this result, the following exposition assumes, for clarity,
+ that the conversion being performed is from constraints to generators.
+ Thus, even if the roles of \p source and \p dest can be interchanged,
+ in the sequel we assume the \p source system will contain the constraints
+ that represent the polyhedron and the \p dest system will contain
+ the generator that generates it.
+
+ There are some observations that are useful to understand this function:
+
+ Observation 1: Let \f$A\f$ be a system of constraints that generate
+ the polyhedron \f$P\f$ and \f$\vect{c}\f$ a new constraint that must
+ be added. Suppose that there is a line \f$\vect{z}\f$ that does not
+ saturate the constraint \f$\vect{c}\f$. If we combine the old lines
+ and rays that do not saturate \f$\vect{c}\f$ (except \f$\vect{z}\f$)
+ with \f$\vect{z}\f$ such that the new ones saturate \f$\vect{c}\f$,
+ the new lines and rays also saturate the constraints saturated by
+ the old lines and rays.
+
+ In fact, if \f$\vect{y}_1\f$ is the old generator that does not saturate
+ \f$\vect{c}\f$, \f$\vect{y}_2\f$ is the new one such that
+ \f[
+ \vect{y}_2 = \lambda \vect{y}_1 + \mu \vect{z}
+ \f]
+ and \f$\vect{c}_1\f$ is a previous constraint that \f$\vect{y}_1\f$
+ and \f$\vect{z}\f$ saturates, we can see
+ \f[
+ \langle \vect{c}_1, \vect{y}_2 \rangle
+ = \langle \vect{c}_1, (\lambda \vect{y}_1 + \mu \vect{z}) \rangle
+ = \lambda \langle \vect{c}_1, \vect{y}_1 \rangle
+ + \mu \langle \vect{c}_1, \vect{z} \rangle
+ = 0 + \mu \langle \vect{c}_1, \vect{z} \rangle
+ = \mu \langle \vect{c}_1, \vect{z} \rangle
+ \f]
+ and
+ \f[
+ \mu \langle \vect{c}_1, \vect{z} \rangle = 0.
+ \f]
+
+ Proposition 1: Let \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ be distinct
+ rays of \f$P\f$.
+ Then the following statements are equivalent:
+ a) \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are adjacent extreme rays
+ (see Section \ref prelims);
+ b) \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are extreme rays and the
+ rank of the system composed by the constraints saturated by both
+ \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ is equal to
+ \f$d - 2\f$, where \f$d\f$ is the rank of the system of constraints.
+
+ In fact, let \f$F\f$ be the system of generators that saturate the
+ constraints saturated by both \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$.
+ If b) holds, the set \f$F\f$ is 2-dimensional and \f$\vect{r}_1\f$ and
+ \f$\vect{r}_2\f$ generate this set. So, every generator
+ \f$\vect{x}\f$ of \f$F\f$ can be built as a combination of
+ \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$, i.e.
+ \f[
+ \vect{x} = \lambda \vect{r}_1 + \mu \vect{r}_2.
+ \f]
+ This combination is non-negative because there exists at least a
+ constraint \f$c\f$ saturated by \f$\vect{r}_1\f$ and not
+ \f$\vect{r}_2\f$ (or vice versa) (because they are distinct) for which
+ \f[
+ \langle \vect{c}, \vect{x} \rangle \geq 0
+ \f]
+ and
+ \f[
+ \langle \vect{c}, \vect{x} \rangle
+ = \lambda \langle \vect{c}, \vect{r}_1 \rangle
+ (or = \mu \langle \vect{c}, \vect{r}_2 \rangle).
+ \f]
+ So, there is no other extreme ray in \f$F\f$ and a) holds.
+ Otherwise, if b) does not hold, the rank of the system generated by
+ the constraints saturated by both \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$
+ is equal to \f$d - k\f$, with \p k \>= 3, the set \f$F\f$ is
+ \p k -dimensional and at least \p k extreme rays are necessary
+ to generate \f$F\f$.
+ So, \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are not adjacent and
+ a) does not hold.
+
+ Proposition 2: When we build the new system of generators starting from
+ a system \f$A\f$ of constraints of \f$P\f$, if \f$\vect{c}\f$ is the
+ constraint to add to \f$A\f$ and all lines of \f$P\f$ saturate
+ \f$\vect{c}\f$, the new set of rays is the union of those rays that
+ saturate, of those that satisfy and of a set \f$\overline Q\f$ of
+ rays such that each of them
+ -# lies on the hyper-plane represented by the k-th constraint,
+ -# is a positive combination of two adjacent rays \f$\vect{r}_1\f$ and
+ \f$\vect{r}_2\f$ such that the first one satisfies the constraint and
+ the other does not satisfy it.
+ If the adjacency property is not taken in account, the new set of
+ rays is not irredundant, in general.
+
+ In fact, if \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ are not adjacent,
+ the rank of the system composed by the constraints saturated by both
+ \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$ is different from \f$d - 2\f$
+ (see the previous proposition) or neither \f$\vect{r}_1\f$ nor
+ \f$\vect{r}_2\f$ are extreme rays. Since the new ray \f$\vect{r}\f$
+ is a combination of \f$\vect{r}_1\f$ and \f$\vect{r}_2\f$,
+ it saturates the same constraints saturated by both \f$\vect{r}_1\f$ and
+ \f$\vect{r}_2\f$.
+ If the rank is less than \f$d - 2\f$, the rank of
+ the system composed by \f$\vect{c}\f$ (that is saturated by \f$\vect{r}\f$)
+ and by the constraints of \f$A\f$ saturated by \f$\vect{r}\f$ is less
+ than \f$d - 1\f$. It means that \f$r\f$ is redundant (see
+ Section \ref prelims).
+ If neither \f$\vect{r}_1\f$ nor \f$\vect{r}_2\f$ are extreme rays,
+ they belong to a 2-dimensional face containing exactly two extreme rays
+ of \f$P\f$.
+ These two adjacent rays build a ray equal to \f$\vect{r}\f$ and so
+ \f$\vect{r}\f$ is redundant.
+*/
+template <typename Source_Linear_System, typename Dest_Linear_System>
+dimension_type
+Polyhedron::conversion(Source_Linear_System& source,
+ const dimension_type start,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat,
+ dimension_type num_lines_or_equalities) {
+ typedef typename Dest_Linear_System::row_type dest_row_type;
+ typedef typename Source_Linear_System::row_type source_row_type;
+
+ // Constraints and generators must have the same dimension,
+ // otherwise the scalar products below will bomb.
+ PPL_ASSERT(source.space_dimension() == dest.space_dimension());
+ const dimension_type source_space_dim = source.space_dimension();
+ const dimension_type source_num_rows = source.num_rows();
+ const dimension_type source_num_columns = source_space_dim
+ + (source.is_necessarily_closed() ? 1U : 2U);
+
+
+ dimension_type dest_num_rows = dest.num_rows();
+ // The rows removed from `dest' will be placed in this vector, so they
+ // can be recycled if needed.
+ std::vector<dest_row_type> recyclable_dest_rows;
+
+ using std::swap;
+
+ // By construction, the number of columns of `sat' is the same as
+ // the number of rows of `source'; also, the number of rows of `sat'
+ // is the same as the number of rows of `dest'.
+ PPL_ASSERT(source_num_rows == sat.num_columns());
+ PPL_ASSERT(dest_num_rows == sat.num_rows());
+
+ // If `start > 0', then we are converting the pending constraints.
+ PPL_ASSERT(start == 0 || start == source.first_pending_row());
+
+ PPL_DIRTY_TEMP_COEFFICIENT(normalized_sp_i);
+ PPL_DIRTY_TEMP_COEFFICIENT(normalized_sp_o);
+
+ bool dest_sorted = dest.is_sorted();
+ const dimension_type dest_first_pending_row = dest.first_pending_row();
+
+ // This will contain the row indexes of the redundant rows of `source'.
+ std::vector<dimension_type> redundant_source_rows;
+
+ // Converting the sub-system of `source' having rows with indexes
+ // from `start' to the last one (i.e., `source_num_rows' - 1).
+ for (dimension_type k = start; k < source_num_rows; ++k) {
+ const source_row_type& source_k = source[k];
+
+ // `scalar_prod[i]' will contain the scalar product of the
+ // constraint `source_k' and the generator `dest_rows[i]'. This
+ // product is 0 if and only if the generator saturates the
+ // constraint.
+ PPL_DIRTY_TEMP(std::vector<Coefficient>, scalar_prod);
+ if (dest_num_rows > scalar_prod.size()) {
+ scalar_prod.insert(scalar_prod.end(),
+ dest_num_rows - scalar_prod.size(),
+ Coefficient_zero());
+ }
+ // `index_non_zero' will indicate the first generator in `dest_rows'
+ // that does not saturate the constraint `source_k'.
+ dimension_type index_non_zero = 0;
+ for ( ; index_non_zero < dest_num_rows; ++index_non_zero) {
+ WEIGHT_BEGIN();
+ Scalar_Products::assign(scalar_prod[index_non_zero],
+ source_k,
+ dest.sys.rows[index_non_zero]);
+ WEIGHT_ADD_MUL(17, source_space_dim);
+ if (scalar_prod[index_non_zero] != 0)
+ // The generator does not saturate the constraint.
+ break;
+ // Check if the client has requested abandoning all expensive
+ // computations. If so, the exception specified by the client
+ // is thrown now.
+ maybe_abandon();
+ }
+ for (dimension_type i = index_non_zero + 1; i < dest_num_rows; ++i) {
+ WEIGHT_BEGIN();
+ Scalar_Products::assign(scalar_prod[i], source_k, dest.sys.rows[i]);
+ WEIGHT_ADD_MUL(25, source_space_dim);
+ // Check if the client has requested abandoning all expensive
+ // computations. If so, the exception specified by the client
+ // is thrown now.
+ maybe_abandon();
+ }
+
+ // We first treat the case when `index_non_zero' is less than
+ // `num_lines_or_equalities', i.e., when the generator that
+ // does not saturate the constraint `source_k' is a line.
+ // The other case (described later) is when all the lines
+ // in `dest_rows' (i.e., all the rows having indexes less than
+ // `num_lines_or_equalities') do saturate the constraint.
+
+ if (index_non_zero < num_lines_or_equalities) {
+ // Since the generator `dest_rows[index_non_zero]' does not saturate
+ // the constraint `source_k', it can no longer be a line
+ // (see saturation rule in Section \ref prelims).
+ // Therefore, we first transform it to a ray.
+ dest.sys.rows[index_non_zero].set_is_ray_or_point_or_inequality();
+ // Of the two possible choices, we select the ray satisfying
+ // the constraint (namely, the ray whose scalar product
+ // with the constraint gives a positive result).
+ if (scalar_prod[index_non_zero] < 0) {
+ // The ray `dest_rows[index_non_zero]' lies on the wrong half-space:
+ // we change it to have the opposite direction.
+ neg_assign(scalar_prod[index_non_zero]);
+ neg_assign(dest.sys.rows[index_non_zero].expr);
+ // The modified row may still not be OK(), so don't assert OK here.
+ // They are all checked at the end of this function.
+ }
+ // Having changed a line to a ray, we set `dest_rows' to be a
+ // non-sorted system, we decrement the number of lines of `dest_rows'
+ // and, if necessary, we move the new ray below all the remaining lines.
+ dest_sorted = false;
+ --num_lines_or_equalities;
+ if (index_non_zero != num_lines_or_equalities) {
+ swap(dest.sys.rows[index_non_zero],
+ dest.sys.rows[num_lines_or_equalities]);
+ swap(scalar_prod[index_non_zero],
+ scalar_prod[num_lines_or_equalities]);
+ }
+ const dest_row_type& dest_nle = dest.sys.rows[num_lines_or_equalities];
+
+ // Computing the new lineality space.
+ // Since each line must lie on the hyper-plane corresponding to
+ // the constraint `source_k', the scalar product between
+ // the line and the constraint must be 0.
+ // This property already holds for the lines having indexes
+ // between 0 and `index_non_zero' - 1.
+ // We have to consider the remaining lines, having indexes
+ // between `index_non_zero' and `num_lines_or_equalities' - 1.
+ // Each line that does not saturate the constraint has to be
+ // linearly combined with generator `dest_nle' so that the
+ // resulting new line saturates the constraint.
+ // Note that, by Observation 1 above, the resulting new line
+ // will still saturate all the constraints that were saturated by
+ // the old line.
+
+ Coefficient& scalar_prod_nle = scalar_prod[num_lines_or_equalities];
+ PPL_ASSERT(scalar_prod_nle != 0);
+ for (dimension_type
+ i = index_non_zero; i < num_lines_or_equalities; ++i) {
+ if (scalar_prod[i] != 0) {
+ // The following fragment optimizes the computation of
+ //
+ // <CODE>
+ // Coefficient scale = scalar_prod[i];
+ // scale.gcd_assign(scalar_prod_nle);
+ // Coefficient normalized_sp_i = scalar_prod[i] / scale;
+ // Coefficient normalized_sp_n = scalar_prod_nle / scale;
+ // for (dimension_type c = dest_num_columns; c-- > 0; ) {
+ // dest[i][c] *= normalized_sp_n;
+ // dest[i][c] -= normalized_sp_i * dest_nle[c];
+ // }
+ // </CODE>
+ normalize2(scalar_prod[i],
+ scalar_prod_nle,
+ normalized_sp_i,
+ normalized_sp_o);
+ dest_row_type& dest_i = dest.sys.rows[i];
+ neg_assign(normalized_sp_i);
+ dest_i.expr.linear_combine(dest_nle.expr,
+ normalized_sp_o, normalized_sp_i);
+ dest_i.strong_normalize();
+ // The modified row may still not be OK(), so don't assert OK here.
+ // They are all checked at the end of this function.
+ scalar_prod[i] = 0;
+ // dest_sorted has already been set to false.
+ }
+ }
+
+ // Computing the new pointed cone.
+ // Similarly to what we have done during the computation of
+ // the lineality space, we consider all the remaining rays
+ // (having indexes strictly greater than `num_lines_or_equalities')
+ // that do not saturate the constraint `source_k'. These rays
+ // are positively combined with the ray `dest_nle' so that the
+ // resulting new rays saturate the constraint.
+ for (dimension_type
+ i = num_lines_or_equalities + 1; i < dest_num_rows; ++i) {
+ if (scalar_prod[i] != 0) {
+ // The following fragment optimizes the computation of
+ //
+ // <CODE>
+ // Coefficient scale = scalar_prod[i];
+ // scale.gcd_assign(scalar_prod_nle);
+ // Coefficient normalized_sp_i = scalar_prod[i] / scale;
+ // Coefficient normalized_sp_n = scalar_prod_nle / scale;
+ // for (dimension_type c = dest_num_columns; c-- > 0; ) {
+ // dest[i][c] *= normalized_sp_n;
+ // dest[i][c] -= normalized_sp_i * dest_nle[c];
+ // }
+ // </CODE>
+ normalize2(scalar_prod[i],
+ scalar_prod_nle,
+ normalized_sp_i,
+ normalized_sp_o);
+ dest_row_type& dest_i = dest.sys.rows[i];
+ WEIGHT_BEGIN();
+ neg_assign(normalized_sp_i);
+ dest_i.expr.linear_combine(dest_nle.expr,
+ normalized_sp_o, normalized_sp_i);
+ dest_i.strong_normalize();
+ // The modified row may still not be OK(), so don't assert OK here.
+ // They are all checked at the end of this function.
+ scalar_prod[i] = 0;
+ // `dest_sorted' has already been set to false.
+ WEIGHT_ADD_MUL(41, source_space_dim);
+ }
+ // Check if the client has requested abandoning all expensive
+ // computations. If so, the exception specified by the client
+ // is thrown now.
+ maybe_abandon();
+ }
+ // Since the `scalar_prod_nle' is positive (by construction), it
+ // does not saturate the constraint `source_k'. Therefore, if
+ // the constraint is an inequality, we set to 1 the
+ // corresponding element of `sat' ...
+ Bit_Row& sat_nle = sat[num_lines_or_equalities];
+ if (source_k.is_ray_or_point_or_inequality())
+ sat_nle.set(k - redundant_source_rows.size());
+ // ... otherwise, the constraint is an equality which is
+ // violated by the generator `dest_nle': the generator has to be
+ // removed from `dest_rows'.
+ else {
+ --dest_num_rows;
+ swap(dest.sys.rows[num_lines_or_equalities],
+ dest.sys.rows[dest_num_rows]);
+ recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
+ swap(dest.sys.rows.back(), recyclable_dest_rows.back());
+ dest.sys.rows.pop_back();
+ PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
+
+ swap(scalar_prod_nle, scalar_prod[dest_num_rows]);
+ swap(sat_nle, sat[dest_num_rows]);
+ // dest_sorted has already been set to false.
+ }
+ }
+ // Here we have `index_non_zero' >= `num_lines_or_equalities',
+ // so that all the lines in `dest_rows' saturate the constraint `source_k'.
+ else {
+ // First, we reorder the generators in `dest_rows' as follows:
+ // -# all the lines should have indexes between 0 and
+ // `num_lines_or_equalities' - 1 (this already holds);
+ // -# all the rays that saturate the constraint should have
+ // indexes between `num_lines_or_equalities' and
+ // `lines_or_equal_bound' - 1; these rays form the set Q=.
+ // -# all the rays that have a positive scalar product with the
+ // constraint should have indexes between `lines_or_equal_bound'
+ // and `sup_bound' - 1; these rays form the set Q+.
+ // -# all the rays that have a negative scalar product with the
+ // constraint should have indexes between `sup_bound' and
+ // `dest_num_rows' - 1; these rays form the set Q-.
+ dimension_type lines_or_equal_bound = num_lines_or_equalities;
+ dimension_type inf_bound = dest_num_rows;
+ // While we find saturating generators, we simply increment
+ // `lines_or_equal_bound'.
+ while (inf_bound > lines_or_equal_bound
+ && scalar_prod[lines_or_equal_bound] == 0)
+ ++lines_or_equal_bound;
+ dimension_type sup_bound = lines_or_equal_bound;
+ while (inf_bound > sup_bound) {
+ const int sp_sign = sgn(scalar_prod[sup_bound]);
+ if (sp_sign == 0) {
+ // This generator has to be moved in Q=.
+ swap(dest.sys.rows[sup_bound], dest.sys.rows[lines_or_equal_bound]);
+ swap(scalar_prod[sup_bound], scalar_prod[lines_or_equal_bound]);
+ swap(sat[sup_bound], sat[lines_or_equal_bound]);
+ ++lines_or_equal_bound;
+ ++sup_bound;
+ dest_sorted = false;
+ }
+ else if (sp_sign < 0) {
+ // This generator has to be moved in Q-.
+ --inf_bound;
+ swap(dest.sys.rows[sup_bound], dest.sys.rows[inf_bound]);
+ swap(sat[sup_bound], sat[inf_bound]);
+ swap(scalar_prod[sup_bound], scalar_prod[inf_bound]);
+ dest_sorted = false;
+ }
+ else
+ // sp_sign > 0: this generator has to be moved in Q+.
+ ++sup_bound;
+ }
+
+ if (sup_bound == dest_num_rows) {
+ // Here the set Q- is empty.
+ // If the constraint is an inequality, then all the generators
+ // in Q= and Q+ satisfy the constraint. The constraint is redundant
+ // and it can be safely removed from the constraint system.
+ // This is why the `source' parameter is not declared `const'.
+ if (source_k.is_ray_or_point_or_inequality()) {
+ redundant_source_rows.push_back(k);
+ }
+ else {
+ // The constraint is an equality, so that all the generators
+ // in Q+ violate it. Since the set Q- is empty, we can simply
+ // remove from `dest_rows' all the generators of Q+.
+ PPL_ASSERT(dest_num_rows >= lines_or_equal_bound);
+ while (dest_num_rows != lines_or_equal_bound) {
+ recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
+ swap(dest.sys.rows.back(), recyclable_dest_rows.back());
+ dest.sys.rows.pop_back();
+ --dest_num_rows;
+ }
+ PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
+ }
+ }
+ else {
+ // The set Q- is not empty, i.e., at least one generator
+ // violates the constraint `source_k'.
+ // We have to further distinguish two cases:
+ if (sup_bound == num_lines_or_equalities) {
+ // The set Q+ is empty, so that all generators that satisfy
+ // the constraint also saturate it.
+ // We can simply remove from `dest_rows' all the generators in Q-.
+ PPL_ASSERT(dest_num_rows >= sup_bound);
+ while (dest_num_rows != sup_bound) {
+ recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
+ swap(dest.sys.rows.back(), recyclable_dest_rows.back());
+ dest.sys.rows.pop_back();
+ --dest_num_rows;
+ }
+ PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
+ }
+ else {
+ // The sets Q+ and Q- are both non-empty.
+ // The generators of the new pointed cone are all those satisfying
+ // the constraint `source_k' plus a set of new rays enjoying
+ // the following properties:
+ // -# they lie on the hyper-plane represented by the constraint
+ // -# they are obtained as a positive combination of two
+ // adjacent rays, the first taken from Q+ and the second
+ // taken from Q-.
+
+ // The adjacency property is necessary to have an irredundant
+ // set of new rays (see proposition 2).
+ const dimension_type bound = dest_num_rows;
+
+ // In the following loop,
+ // `i' runs through the generators in the set Q+ and
+ // `j' runs through the generators in the set Q-.
+ for (dimension_type i = lines_or_equal_bound; i < sup_bound; ++i) {
+ for(dimension_type j = sup_bound; j < bound; ++j) {
+ // Checking if generators `dest_rows[i]' and `dest_rows[j]' are
+ // adjacent.
+ // If there exist another generator that saturates
+ // all the constraints saturated by both `dest_rows[i]' and
+ // `dest_rows[j]', then they are NOT adjacent.
+ PPL_ASSERT(sat[i].last() == C_Integer<unsigned long>::max
+ || sat[i].last() < k);
+ PPL_ASSERT(sat[j].last() == C_Integer<unsigned long>::max
+ || sat[j].last() < k);
+
+ // Being the union of `sat[i]' and `sat[j]',
+ // `new_satrow' corresponds to a ray that saturates all the
+ // constraints saturated by both `dest_rows[i]' and
+ // `dest_rows[j]'.
+ Bit_Row new_satrow(sat[i], sat[j]);
+
+ // Compute the number of common saturators.
+ // NOTE: this number has to be less than `k' because
+ // we are treating the `k'-th constraint.
+ const dimension_type num_common_satur
+ = k - redundant_source_rows.size() - new_satrow.count_ones();
+
+ // Even before actually creating the new ray as a
+ // positive combination of `dest_rows[i]' and `dest_rows[j]',
+ // we exploit saturation information to check if
+ // it can be an extremal ray. To this end, we refer
+ // to the definition of a minimal proper face
+ // (see comments in Polyhedron_defs.hh):
+ // an extremal ray saturates at least `n' - `t' - 1
+ // constraints, where `n' is the dimension of the space
+ // and `t' is the dimension of the lineality space.
+ // Since `n == source_num_columns - 1' and
+ // `t == num_lines_or_equalities', we obtain that
+ // an extremal ray saturates at least
+ // `source_num_columns - num_lines_or_equalities - 2'
+ // constraints.
+ if (num_common_satur
+ >= source_num_columns - num_lines_or_equalities - 2) {
+ // The minimal proper face rule is satisfied.
+ // Now we actually check for redundancy by computing
+ // adjacency information.
+ bool redundant = false;
+ WEIGHT_BEGIN();
+ for (dimension_type
+ l = num_lines_or_equalities; l < bound; ++l)
+ if (l != i && l != j
+ && subset_or_equal(sat[l], new_satrow)) {
+ // Found another generator saturating all the
+ // constraints saturated by both `dest_rows[i]' and
+ // `dest_rows[j]'.
+ redundant = true;
+ break;
+ }
+ PPL_ASSERT(bound >= num_lines_or_equalities);
+ WEIGHT_ADD_MUL(15, bound - num_lines_or_equalities);
+ if (!redundant) {
+ // Adding the new ray to `dest_rows' and the corresponding
+ // saturation row to `sat'.
+ dest_row_type new_row;
+ if (recyclable_dest_rows.empty()) {
+ sat.add_recycled_row(new_satrow);
+ }
+ else {
+ swap(new_row, recyclable_dest_rows.back());
+ recyclable_dest_rows.pop_back();
+ new_row.set_space_dimension_no_ok(source_space_dim);
+ swap(sat[dest_num_rows], new_satrow);
+ }
+
+ // The following fragment optimizes the computation of
+ //
+ // <CODE>
+ // Coefficient scale = scalar_prod[i];
+ // scale.gcd_assign(scalar_prod[j]);
+ // Coefficient normalized_sp_i = scalar_prod[i] / scale;
+ // Coefficient normalized_sp_j = scalar_prod[j] / scale;
+ // for (dimension_type c = dest_num_columns; c-- > 0; ) {
+ // new_row[c] = normalized_sp_i * dest[j][c];
+ // new_row[c] -= normalized_sp_j * dest[i][c];
+ // }
+ // </CODE>
+ normalize2(scalar_prod[i],
+ scalar_prod[j],
+ normalized_sp_i,
+ normalized_sp_o);
+ WEIGHT_BEGIN();
+
+ neg_assign(normalized_sp_o);
+ new_row = dest.sys.rows[j];
+ // TODO: Check if the following assertions hold.
+ PPL_ASSERT(normalized_sp_i != 0);
+ PPL_ASSERT(normalized_sp_o != 0);
+ new_row.expr.linear_combine(dest.sys.rows[i].expr,
+ normalized_sp_i, normalized_sp_o);
+
+ WEIGHT_ADD_MUL(86, source_space_dim);
+ new_row.strong_normalize();
+ // Don't assert new_row.OK() here, because it may fail if
+ // the parameter `dest' contained a row that wasn't ok.
+ // Since we added a new generator to `dest_rows',
+ // we also add a new element to `scalar_prod';
+ // by construction, the new ray lies on the hyper-plane
+ // represented by the constraint `source_k'.
+ // Thus, the added scalar product is 0.
+ PPL_ASSERT(scalar_prod.size() >= dest_num_rows);
+ if (scalar_prod.size() <= dest_num_rows)
+ scalar_prod.push_back(Coefficient_zero());
+ else
+ scalar_prod[dest_num_rows] = Coefficient_zero();
+
+ dest.sys.rows.resize(dest.sys.rows.size() + 1);
+ swap(dest.sys.rows.back(), new_row);
+ // Increment the number of generators.
+ ++dest_num_rows;
+ } // if (!redundant)
+ }
+ }
+ // Check if the client has requested abandoning all expensive
+ // computations. If so, the exception specified by the client
+ // is thrown now.
+ maybe_abandon();
+ }
+ // Now we substitute the rays in Q- (i.e., the rays violating
+ // the constraint) with the newly added rays.
+ dimension_type j;
+ if (source_k.is_ray_or_point_or_inequality()) {
+ // The constraint is an inequality:
+ // the violating generators are those in Q-.
+ j = sup_bound;
+ // For all the generators in Q+, set to 1 the corresponding
+ // entry for the constraint `source_k' in the saturation matrix.
+
+ // After the removal of redundant rows in `source', the k-th
+ // row will have index `new_k'.
+ const dimension_type new_k = k - redundant_source_rows.size();
+ for (dimension_type l = lines_or_equal_bound; l < sup_bound; ++l)
+ sat[l].set(new_k);
+ }
+ else
+ // The constraint is an equality:
+ // the violating generators are those in the union of Q+ and Q-.
+ j = lines_or_equal_bound;
+
+ // Swapping the newly added rays
+ // (index `i' running through `dest_num_rows - 1' down-to `bound')
+ // with the generators violating the constraint
+ // (index `j' running through `j' up-to `bound - 1').
+ dimension_type i = dest_num_rows;
+ while (j < bound && i > bound) {
+ --i;
+ swap(dest.sys.rows[i], dest.sys.rows[j]);
+ swap(scalar_prod[i], scalar_prod[j]);
+ swap(sat[i], sat[j]);
+ ++j;
+ dest_sorted = false;
+ }
+ // Setting the number of generators in `dest':
+ // - if the number of generators violating the constraint
+ // is less than or equal to the number of the newly added
+ // generators, we assign `i' to `dest_num_rows' because
+ // all generators above this index are significant;
+ // - otherwise, we assign `j' to `dest_num_rows' because
+ // all generators below index `j-1' violates the constraint.
+ const dimension_type new_num_rows = (j == bound) ? i : j;
+ PPL_ASSERT(dest_num_rows >= new_num_rows);
+ while (dest_num_rows != new_num_rows) {
+ recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
+ swap(dest.sys.rows.back(), recyclable_dest_rows.back());
+ dest.sys.rows.pop_back();
+ --dest_num_rows;
+ }
+ PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
+ }
+ }
+ }
+ }
+
+ // We may have identified some redundant constraints in `source',
+ // which have been swapped at the end of the system.
+ if (redundant_source_rows.size() > 0) {
+ source.remove_rows(redundant_source_rows);
+ sat.remove_trailing_columns(redundant_source_rows.size());
+ }
+
+ // If `start == 0', then `source' was sorted and remained so.
+ // If otherwise `start > 0', then the two sub-system made by the
+ // non-pending rows and the pending rows, respectively, were both sorted.
+ // Thus, the overall system is sorted if and only if either
+ // `start == source_num_rows' (i.e., the second sub-system is empty)
+ // or the row ordering holds for the two rows at the boundary between
+ // the two sub-systems.
+ if (start > 0 && start < source.num_rows())
+ source.set_sorted(compare(source[start - 1], source[start]) <= 0);
+ // There are no longer pending constraints in `source'.
+ source.unset_pending_rows();
+
+ // We may have identified some redundant rays in `dest_rows',
+ // which have been swapped into recyclable_dest_rows.
+ if (!recyclable_dest_rows.empty()) {
+ const dimension_type num_removed_rows = recyclable_dest_rows.size();
+ sat.remove_trailing_rows(num_removed_rows);
+ }
+ if (dest_sorted)
+ // If the non-pending generators in `dest' are still declared to be
+ // sorted, then we have to also check for the sortedness of the
+ // pending generators.
+ for (dimension_type i = dest_first_pending_row; i < dest_num_rows; ++i)
+ if (compare(dest.sys.rows[i - 1], dest.sys.rows[i]) > 0) {
+ dest_sorted = false;
+ break;
+ }
+
+#ifndef NDEBUG
+ // The previous code can modify the rows' fields, exploiting the friendness.
+ // Check that all rows are OK now.
+ for (dimension_type i = dest.num_rows(); i-- > 0; )
+ PPL_ASSERT(dest.sys.rows[i].OK());
+#endif
+
+ dest.sys.index_first_pending = dest.num_rows();
+ dest.set_sorted(dest_sorted);
+ PPL_ASSERT(dest.sys.OK());
+
+ return num_lines_or_equalities;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_conversion_templates_hh)
diff --git a/src/Polyhedron_defs.hh b/src/Polyhedron_defs.hh
new file mode 100644
index 0000000..c967f42
--- /dev/null
+++ b/src/Polyhedron_defs.hh
@@ -0,0 +1,2843 @@
+/* Polyhedron class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_defs_hh
+#define PPL_Polyhedron_defs_hh 1
+
+#include "Polyhedron_types.hh"
+#include "globals_types.hh"
+#include "Variable_defs.hh"
+#include "Variables_Set_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_System_defs.hh"
+#include "Constraint_System_inlines.hh"
+#include "Generator_System_defs.hh"
+#include "Generator_System_inlines.hh"
+#include "Congruence_System_defs.hh"
+#include "Congruence_System_inlines.hh"
+#include "Bit_Matrix_defs.hh"
+#include "Constraint_types.hh"
+#include "Generator_types.hh"
+#include "Congruence_types.hh"
+#include "Poly_Con_Relation_defs.hh"
+#include "Poly_Gen_Relation_defs.hh"
+#include "BHRZ03_Certificate_types.hh"
+#include "H79_Certificate_types.hh"
+#include "Box_types.hh"
+#include "BD_Shape_types.hh"
+#include "Octagonal_Shape_types.hh"
+#include "Interval_types.hh"
+#include "Linear_Form_types.hh"
+#include <vector>
+#include <iosfwd>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*!
+ \relates Parma_Polyhedra_Library::Polyhedron
+ Writes a textual representation of \p ph on \p s:
+ <CODE>false</CODE> is written if \p ph is an empty polyhedron;
+ <CODE>true</CODE> is written if \p ph is a universe polyhedron;
+ a minimized system of constraints defining \p ph is written otherwise,
+ all constraints in one row separated by ", ".
+*/
+std::ostream&
+operator<<(std::ostream& s, const Polyhedron& ph);
+
+} // namespace IO_Operators
+
+//! Swaps \p x with \p y.
+/*! \relates Polyhedron */
+void swap(Polyhedron& x, Polyhedron& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p x and \p y are the same polyhedron.
+
+ \relates Polyhedron
+ Note that \p x and \p y may be topology- and/or dimension-incompatible
+ polyhedra: in those cases, the value <CODE>false</CODE> is returned.
+*/
+bool operator==(const Polyhedron& x, const Polyhedron& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p x and \p y are different polyhedra.
+
+ \relates Polyhedron
+ Note that \p x and \p y may be topology- and/or dimension-incompatible
+ polyhedra: in those cases, the value <CODE>true</CODE> is returned.
+*/
+bool operator!=(const Polyhedron& x, const Polyhedron& y);
+
+namespace Interfaces {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Returns \c true if and only if
+ <code>ph.topology() == NECESSARILY_CLOSED</code>.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool is_necessarily_closed_for_interfaces(const Polyhedron& ph);
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! The base class for convex polyhedra.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Polyhedron represents a convex polyhedron
+ in the vector space \f$\Rset^n\f$.
+
+ A polyhedron can be specified as either a finite system of constraints
+ or a finite system of generators (see Section \ref representation)
+ and it is always possible to obtain either representation.
+ That is, if we know the system of constraints, we can obtain
+ from this the system of generators that define the same polyhedron
+ and vice versa.
+ These systems can contain redundant members: in this case we say
+ that they are not in the minimal form.
+
+ Two key attributes of any polyhedron are its topological kind
+ (recording whether it is a C_Polyhedron or an NNC_Polyhedron object)
+ and its space dimension (the dimension \f$n \in \Nset\f$ of
+ the enclosing vector space):
+
+ - all polyhedra, the empty ones included, are endowed with
+ a specific topology and space dimension;
+ - most operations working on a polyhedron and another object
+ (i.e., another polyhedron, a constraint or generator,
+ a set of variables, etc.) will throw an exception if
+ the polyhedron and the object are not both topology-compatible
+ and dimension-compatible (see Section \ref representation);
+ - the topology of a polyhedron cannot be changed;
+ rather, there are constructors for each of the two derived classes
+ that will build a new polyhedron with the topology of that class
+ from another polyhedron from either class and any topology;
+ - the only ways in which the space dimension of a polyhedron can
+ be changed are:
+ - <EM>explicit</EM> calls to operators provided for that purpose;
+ - standard copy, assignment and swap operators.
+
+ Note that four different polyhedra can be defined on
+ the zero-dimension space:
+ the empty polyhedron, either closed or NNC,
+ and the universe polyhedron \f$R^0\f$, again either closed or NNC.
+
+ \par
+ In all the examples it is assumed that variables
+ <CODE>x</CODE> and <CODE>y</CODE> are defined (where they are
+ used) as follows:
+ \code
+ Variable x(0);
+ Variable y(1);
+ \endcode
+
+ \par Example 1
+ The following code builds a polyhedron corresponding to
+ a square in \f$\Rset^2\f$, given as a system of constraints:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x <= 3);
+ cs.insert(y >= 0);
+ cs.insert(y <= 3);
+ C_Polyhedron ph(cs);
+ \endcode
+ The following code builds the same polyhedron as above,
+ but starting from a system of generators specifying
+ the four vertices of the square:
+ \code
+ Generator_System gs;
+ gs.insert(point(0*x + 0*y));
+ gs.insert(point(0*x + 3*y));
+ gs.insert(point(3*x + 0*y));
+ gs.insert(point(3*x + 3*y));
+ C_Polyhedron ph(gs);
+ \endcode
+
+ \par Example 2
+ The following code builds an unbounded polyhedron
+ corresponding to a half-strip in \f$\Rset^2\f$,
+ given as a system of constraints:
+ \code
+ Constraint_System cs;
+ cs.insert(x >= 0);
+ cs.insert(x - y <= 0);
+ cs.insert(x - y + 1 >= 0);
+ C_Polyhedron ph(cs);
+ \endcode
+ The following code builds the same polyhedron as above,
+ but starting from the system of generators specifying
+ the two vertices of the polyhedron and one ray:
+ \code
+ Generator_System gs;
+ gs.insert(point(0*x + 0*y));
+ gs.insert(point(0*x + y));
+ gs.insert(ray(x - y));
+ C_Polyhedron ph(gs);
+ \endcode
+
+ \par Example 3
+ The following code builds the polyhedron corresponding to
+ a half-plane by adding a single constraint
+ to the universe polyhedron in \f$\Rset^2\f$:
+ \code
+ C_Polyhedron ph(2);
+ ph.add_constraint(y >= 0);
+ \endcode
+ The following code builds the same polyhedron as above,
+ but starting from the empty polyhedron in the space \f$\Rset^2\f$
+ and inserting the appropriate generators
+ (a point, a ray and a line).
+ \code
+ C_Polyhedron ph(2, EMPTY);
+ ph.add_generator(point(0*x + 0*y));
+ ph.add_generator(ray(y));
+ ph.add_generator(line(x));
+ \endcode
+ Note that, although the above polyhedron has no vertices, we must add
+ one point, because otherwise the result of the Minkowski's sum
+ would be an empty polyhedron.
+ To avoid subtle errors related to the minimization process,
+ it is required that the first generator inserted in an empty
+ polyhedron is a point (otherwise, an exception is thrown).
+
+ \par Example 4
+ The following code shows the use of the function
+ <CODE>add_space_dimensions_and_embed</CODE>:
+ \code
+ C_Polyhedron ph(1);
+ ph.add_constraint(x == 2);
+ ph.add_space_dimensions_and_embed(1);
+ \endcode
+ We build the universe polyhedron in the 1-dimension space \f$\Rset\f$.
+ Then we add a single equality constraint,
+ thus obtaining the polyhedron corresponding to the singleton set
+ \f$\{ 2 \} \sseq \Rset\f$.
+ After the last line of code, the resulting polyhedron is
+ \f[
+ \bigl\{\,
+ (2, y)^\transpose \in \Rset^2
+ \bigm|
+ y \in \Rset
+ \,\bigr\}.
+ \f]
+
+ \par Example 5
+ The following code shows the use of the function
+ <CODE>add_space_dimensions_and_project</CODE>:
+ \code
+ C_Polyhedron ph(1);
+ ph.add_constraint(x == 2);
+ ph.add_space_dimensions_and_project(1);
+ \endcode
+ The first two lines of code are the same as in Example 4 for
+ <CODE>add_space_dimensions_and_embed</CODE>.
+ After the last line of code, the resulting polyhedron is
+ the singleton set
+ \f$\bigl\{ (2, 0)^\transpose \bigr\} \sseq \Rset^2\f$.
+
+ \par Example 6
+ The following code shows the use of the function
+ <CODE>affine_image</CODE>:
+ \code
+ C_Polyhedron ph(2, EMPTY);
+ ph.add_generator(point(0*x + 0*y));
+ ph.add_generator(point(0*x + 3*y));
+ ph.add_generator(point(3*x + 0*y));
+ ph.add_generator(point(3*x + 3*y));
+ Linear_Expression expr = x + 4;
+ ph.affine_image(x, expr);
+ \endcode
+ In this example the starting polyhedron is a square in
+ \f$\Rset^2\f$, the considered variable is \f$x\f$ and the affine
+ expression is \f$x+4\f$. The resulting polyhedron is the same
+ square translated to the right. Moreover, if the affine
+ transformation for the same variable \p x is \f$x+y\f$:
+ \code
+ Linear_Expression expr = x + y;
+ \endcode
+ the resulting polyhedron is a parallelogram with the height equal to
+ the side of the square and the oblique sides parallel to the line
+ \f$x-y\f$.
+ Instead, if we do not use an invertible transformation for the same
+ variable; for example, the affine expression \f$y\f$:
+ \code
+ Linear_Expression expr = y;
+ \endcode
+ the resulting polyhedron is a diagonal of the square.
+
+ \par Example 7
+ The following code shows the use of the function
+ <CODE>affine_preimage</CODE>:
+ \code
+ C_Polyhedron ph(2);
+ ph.add_constraint(x >= 0);
+ ph.add_constraint(x <= 3);
+ ph.add_constraint(y >= 0);
+ ph.add_constraint(y <= 3);
+ Linear_Expression expr = x + 4;
+ ph.affine_preimage(x, expr);
+ \endcode
+ In this example the starting polyhedron, \p var and the affine
+ expression and the denominator are the same as in Example 6,
+ while the resulting polyhedron is again the same square,
+ but translated to the left.
+ Moreover, if the affine transformation for \p x is \f$x+y\f$
+ \code
+ Linear_Expression expr = x + y;
+ \endcode
+ the resulting polyhedron is a parallelogram with the height equal to
+ the side of the square and the oblique sides parallel to the line
+ \f$x+y\f$.
+ Instead, if we do not use an invertible transformation for the same
+ variable \p x, for example, the affine expression \f$y\f$:
+ \code
+ Linear_Expression expr = y;
+ \endcode
+ the resulting polyhedron is a line that corresponds to the \f$y\f$ axis.
+
+ \par Example 8
+ For this example we use also the variables:
+ \code
+ Variable z(2);
+ Variable w(3);
+ \endcode
+ The following code shows the use of the function
+ <CODE>remove_space_dimensions</CODE>:
+ \code
+ Generator_System gs;
+ gs.insert(point(3*x + y + 0*z + 2*w));
+ C_Polyhedron ph(gs);
+ Variables_Set vars;
+ vars.insert(y);
+ vars.insert(z);
+ ph.remove_space_dimensions(vars);
+ \endcode
+ The starting polyhedron is the singleton set
+ \f$\bigl\{ (3, 1, 0, 2)^\transpose \bigr\} \sseq \Rset^4\f$, while
+ the resulting polyhedron is
+ \f$\bigl\{ (3, 2)^\transpose \bigr\} \sseq \Rset^2\f$.
+ Be careful when removing space dimensions <EM>incrementally</EM>:
+ since dimensions are automatically renamed after each application
+ of the <CODE>remove_space_dimensions</CODE> operator, unexpected
+ results can be obtained.
+ For instance, by using the following code we would obtain
+ a different result:
+ \code
+ set<Variable> vars1;
+ vars1.insert(y);
+ ph.remove_space_dimensions(vars1);
+ set<Variable> vars2;
+ vars2.insert(z);
+ ph.remove_space_dimensions(vars2);
+ \endcode
+ In this case, the result is the polyhedron
+ \f$\bigl\{(3, 0)^\transpose \bigr\} \sseq \Rset^2\f$:
+ when removing the set of dimensions \p vars2
+ we are actually removing variable \f$w\f$ of the original polyhedron.
+ For the same reason, the operator \p remove_space_dimensions
+ is not idempotent: removing twice the same non-empty set of dimensions
+ is never the same as removing them just once.
+*/
+
+class Parma_Polyhedra_Library::Polyhedron {
+public:
+ //! The numeric type of coefficients.
+ typedef Coefficient coefficient_type;
+
+ //! Returns the maximum space dimension all kinds of Polyhedron can handle.
+ static dimension_type max_space_dimension();
+
+ /*! \brief
+ Returns \c true indicating that this domain has methods that
+ can recycle constraints.
+ */
+ static bool can_recycle_constraint_systems();
+
+ //! Initializes the class.
+ static void initialize();
+
+ //! Finalizes the class.
+ static void finalize();
+
+ /*! \brief
+ Returns \c false indicating that this domain cannot recycle congruences.
+ */
+ static bool can_recycle_congruence_systems();
+
+protected:
+ //! Builds a polyhedron having the specified properties.
+ /*!
+ \param topol
+ The topology of the polyhedron;
+
+ \param num_dimensions
+ The number of dimensions of the vector space enclosing the polyhedron;
+
+ \param kind
+ Specifies whether the universe or the empty polyhedron has to be built.
+ */
+ Polyhedron(Topology topol,
+ dimension_type num_dimensions,
+ Degenerate_Element kind);
+
+ //! Ordinary copy constructor.
+ /*!
+ The complexity argument is ignored.
+ */
+ Polyhedron(const Polyhedron& y,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ //! Builds a polyhedron from a system of constraints.
+ /*!
+ The polyhedron inherits the space dimension of the constraint system.
+
+ \param topol
+ The topology of the polyhedron;
+
+ \param cs
+ The system of constraints defining the polyhedron.
+
+ \exception std::invalid_argument
+ Thrown if the topology of \p cs is incompatible with \p topol.
+ */
+ Polyhedron(Topology topol, const Constraint_System& cs);
+
+ //! Builds a polyhedron recycling a system of constraints.
+ /*!
+ The polyhedron inherits the space dimension of the constraint system.
+
+ \param topol
+ The topology of the polyhedron;
+
+ \param cs
+ The system of constraints defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the topology of \p cs is incompatible with \p topol.
+ */
+ Polyhedron(Topology topol, Constraint_System& cs, Recycle_Input dummy);
+
+ //! Builds a polyhedron from a system of generators.
+ /*!
+ The polyhedron inherits the space dimension of the generator system.
+
+ \param topol
+ The topology of the polyhedron;
+
+ \param gs
+ The system of generators defining the polyhedron.
+
+ \exception std::invalid_argument
+ Thrown if the topology of \p gs is incompatible with \p topol,
+ or if the system of generators is not empty but has no points.
+ */
+ Polyhedron(Topology topol, const Generator_System& gs);
+
+ //! Builds a polyhedron recycling a system of generators.
+ /*!
+ The polyhedron inherits the space dimension of the generator system.
+
+ \param topol
+ The topology of the polyhedron;
+
+ \param gs
+ The system of generators defining the polyhedron. It is not
+ declared <CODE>const</CODE> because its data-structures may be
+ recycled to build the polyhedron.
+
+ \param dummy
+ A dummy tag to syntactically differentiate this one
+ from the other constructors.
+
+ \exception std::invalid_argument
+ Thrown if the topology of \p gs is incompatible with \p topol,
+ or if the system of generators is not empty but has no points.
+ */
+ Polyhedron(Topology topol, Generator_System& gs, Recycle_Input dummy);
+
+ //! Builds a polyhedron from a box.
+ /*!
+ This will use an algorithm whose complexity is polynomial and build
+ the smallest polyhedron with topology \p topol containing \p box.
+
+ \param topol
+ The topology of the polyhedron;
+
+ \param box
+ The box representing the polyhedron to be built;
+
+ \param complexity
+ This argument is ignored.
+ */
+ template <typename Interval>
+ Polyhedron(Topology topol, const Box<Interval>& box,
+ Complexity_Class complexity = ANY_COMPLEXITY);
+
+ /*! \brief
+ The assignment operator.
+ (\p *this and \p y can be dimension-incompatible.)
+ */
+ Polyhedron& operator=(const Polyhedron& y);
+
+public:
+ //! \name Member Functions that Do Not Modify the Polyhedron
+ //@{
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ /*! \brief
+ Returns \f$0\f$, if \p *this is empty; otherwise, returns the
+ \ref Affine_Independence_and_Affine_Dimension "affine dimension"
+ of \p *this.
+ */
+ dimension_type affine_dimension() const;
+
+ //! Returns the system of constraints.
+ const Constraint_System& constraints() const;
+
+ //! Returns the system of constraints, with no redundant constraint.
+ const Constraint_System& minimized_constraints() const;
+
+ //! Returns the system of generators.
+ const Generator_System& generators() const;
+
+ //! Returns the system of generators, with no redundant generator.
+ const Generator_System& minimized_generators() const;
+
+ //! Returns a system of (equality) congruences satisfied by \p *this.
+ Congruence_System congruences() const;
+
+ /*! \brief
+ Returns a system of (equality) congruences satisfied by \p *this,
+ with no redundant congruences and having the same affine dimension
+ as \p *this.
+ */
+ Congruence_System minimized_congruences() const;
+
+ /*! \brief
+ Returns the relations holding between the polyhedron \p *this
+ and the constraint \p c.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Constraint& c) const;
+
+ /*! \brief
+ Returns the relations holding between the polyhedron \p *this
+ and the generator \p g.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are dimension-incompatible.
+ */
+ Poly_Gen_Relation relation_with(const Generator& g) const;
+
+ /*! \brief
+ Returns the relations holding between the polyhedron \p *this
+ and the congruence \p c.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p c are dimension-incompatible.
+ */
+ Poly_Con_Relation relation_with(const Congruence& cg) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is
+ an empty polyhedron.
+ */
+ bool is_empty() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a universe polyhedron.
+ */
+ bool is_universe() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a topologically closed subset of the vector space.
+ */
+ bool is_topologically_closed() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this and \p y are disjoint.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool is_disjoint_from(const Polyhedron& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is discrete.
+ bool is_discrete() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ is a bounded polyhedron.
+ */
+ bool is_bounded() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this
+ contains at least one integer point.
+ */
+ bool contains_integer_point() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p var is constrained in
+ \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ bool constrains(Variable var) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from above in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_above(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p expr is
+ bounded from below in \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds_from_below(const Linear_Expression& expr) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value is computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d
+ and \p maximum are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from above in \p *this, in which case
+ the supremum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be maximized subject to \p *this;
+
+ \param sup_n
+ The numerator of the supremum value;
+
+ \param sup_d
+ The denominator of the supremum value;
+
+ \param maximum
+ <CODE>true</CODE> if and only if the supremum is also the maximum value;
+
+ \param g
+ When maximization succeeds, will be assigned the point or
+ closure point where \p expr reaches its supremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from above,
+ <CODE>false</CODE> is returned and \p sup_n, \p sup_d, \p maximum
+ and \p g are left untouched.
+ */
+ bool maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value is computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d
+ and \p minimum are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is not empty
+ and \p expr is bounded from below in \p *this, in which case
+ the infimum value and a point where \p expr reaches it are computed.
+
+ \param expr
+ The linear expression to be minimized subject to \p *this;
+
+ \param inf_n
+ The numerator of the infimum value;
+
+ \param inf_d
+ The denominator of the infimum value;
+
+ \param minimum
+ <CODE>true</CODE> if and only if the infimum is also the minimum value;
+
+ \param g
+ When minimization succeeds, will be assigned a point or
+ closure point where \p expr reaches its infimum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded from below,
+ <CODE>false</CODE> is returned and \p inf_n, \p inf_d, \p minimum
+ and \p g are left untouched.
+ */
+ bool minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if there exist a
+ unique value \p val such that \p *this
+ saturates the equality <CODE>expr = val</CODE>.
+
+ \param expr
+ The linear expression for which the frequency is needed;
+
+ \param freq_n
+ If <CODE>true</CODE> is returned, the value is set to \f$0\f$;
+ Present for interface compatibility with class Grid, where
+ the \ref Grid_Frequency "frequency" can have a non-zero value;
+
+ \param freq_d
+ If <CODE>true</CODE> is returned, the value is set to \f$1\f$;
+
+ \param val_n
+ The numerator of \p val;
+
+ \param val_d
+ The denominator of \p val;
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If <CODE>false</CODE> is returned, then \p freq_n, \p freq_d,
+ \p val_n and \p val_d are left untouched.
+ */
+ bool frequency(const Linear_Expression& expr,
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool contains(const Polyhedron& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this strictly contains \p y.
+ /*!
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool strictly_contains(const Polyhedron& y) const;
+
+ //! Checks if all the invariants are satisfied.
+ /*!
+ \return
+ <CODE>true</CODE> if and only if \p *this satisfies all the
+ invariants and either \p check_not_empty is <CODE>false</CODE> or
+ \p *this is not empty.
+
+ \param check_not_empty
+ <CODE>true</CODE> if and only if, in addition to checking the
+ invariants, \p *this must be checked to be not empty.
+
+ The check is performed so as to intrude as little as possible. If
+ the library has been compiled with run-time assertions enabled,
+ error messages are written on <CODE>std::cerr</CODE> in case
+ invariants are violated. This is useful for the purpose of
+ debugging the library.
+ */
+ bool OK(bool check_not_empty = false) const;
+
+ //@} // Member Functions that Do Not Modify the Polyhedron
+
+ //! \name Space Dimension Preserving Member Functions that May Modify the Polyhedron
+ //@{
+
+ /*! \brief
+ Adds a copy of constraint \p c to the system of constraints
+ of \p *this (without minimizing the result).
+
+ \param c
+ The constraint that will be added to the system of
+ constraints of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are topology-incompatible
+ or dimension-incompatible.
+ */
+ void add_constraint(const Constraint& c);
+
+ /*! \brief
+ Adds a copy of generator \p g to the system of generators
+ of \p *this (without minimizing the result).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and generator \p g are topology-incompatible or
+ dimension-incompatible, or if \p *this is an empty polyhedron and
+ \p g is not a point.
+ */
+ void add_generator(const Generator& g);
+
+ /*! \brief
+ Adds a copy of congruence \p cg to \p *this,
+ if \p cg can be exactly represented by a polyhedron.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible,
+ of if \p cg is a proper congruence which is neither a tautology,
+ nor a contradiction.
+ */
+ void add_congruence(const Congruence& cg);
+
+ /*! \brief
+ Adds a copy of the constraints in \p cs to the system
+ of constraints of \p *this (without minimizing the result).
+
+ \param cs
+ Contains the constraints that will be added to the system of
+ constraints of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void add_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Adds the constraints in \p cs to the system of constraints
+ of \p *this (without minimizing the result).
+
+ \param cs
+ The constraint system to be added to \p *this. The constraints in
+ \p cs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are topology-incompatible or
+ dimension-incompatible.
+
+ \warning
+ The only assumption that can be made on \p cs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_constraints(Constraint_System& cs);
+
+ /*! \brief
+ Adds a copy of the generators in \p gs to the system
+ of generators of \p *this (without minimizing the result).
+
+ \param gs
+ Contains the generators that will be added to the system of
+ generators of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p gs are topology-incompatible or
+ dimension-incompatible, or if \p *this is empty and the system of
+ generators \p gs is not empty, but has no points.
+ */
+ void add_generators(const Generator_System& gs);
+
+ /*! \brief
+ Adds the generators in \p gs to the system of generators
+ of \p *this (without minimizing the result).
+
+ \param gs
+ The generator system to be added to \p *this. The generators in
+ \p gs may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p gs are topology-incompatible or
+ dimension-incompatible, or if \p *this is empty and the system of
+ generators \p gs is not empty, but has no points.
+
+ \warning
+ The only assumption that can be made on \p gs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_generators(Generator_System& gs);
+
+ /*! \brief
+ Adds a copy of the congruences in \p cgs to \p *this,
+ if all the congruences can be exactly represented by a polyhedron.
+
+ \param cgs
+ The congruences to be added.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ of if there exists in \p cgs a proper congruence which is
+ neither a tautology, nor a contradiction.
+ */
+ void add_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Adds the congruences in \p cgs to \p *this,
+ if all the congruences can be exactly represented by a polyhedron.
+
+ \param cgs
+ The congruences to be added. Its elements may be recycled.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible,
+ of if there exists in \p cgs a proper congruence which is
+ neither a tautology, nor a contradiction
+
+ \warning
+ The only assumption that can be made on \p cgs upon successful or
+ exceptional return is that it can be safely destroyed.
+ */
+ void add_recycled_congruences(Congruence_System& cgs);
+
+ /*! \brief
+ Uses a copy of constraint \p c to refine \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and constraint \p c are dimension-incompatible.
+ */
+ void refine_with_constraint(const Constraint& c);
+
+ /*! \brief
+ Uses a copy of congruence \p cg to refine \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and congruence \p cg are dimension-incompatible.
+ */
+ void refine_with_congruence(const Congruence& cg);
+
+ /*! \brief
+ Uses a copy of the constraints in \p cs to refine \p *this.
+
+ \param cs
+ Contains the constraints used to refine the system of
+ constraints of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cs are dimension-incompatible.
+ */
+ void refine_with_constraints(const Constraint_System& cs);
+
+ /*! \brief
+ Uses a copy of the congruences in \p cgs to refine \p *this.
+
+ \param cgs
+ Contains the congruences used to refine the system of
+ constraints of \p *this.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p cgs are dimension-incompatible.
+ */
+ void refine_with_congruences(const Congruence_System& cgs);
+
+ /*! \brief
+ Refines \p *this with the constraint expressed by \p left \f$<\f$
+ \p right if \p is_strict is set, with the constraint \p left \f$\leq\f$
+ \p right otherwise.
+
+ \param left
+ The linear form on intervals with floating point boundaries that
+ is on the left of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param right
+ The linear form on intervals with floating point boundaries that
+ is on the right of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param is_strict
+ True if the comparison is strict.
+
+ \exception std::invalid_argument
+ Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
+
+ This function is used in abstract interpretation to model a filter
+ that is generated by a comparison of two expressions that are correctly
+ approximated by \p left and \p right respectively.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ void refine_with_linear_form_inequality(
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
+ bool is_strict = false);
+
+ /*! \brief
+ Refines \p *this with the constraint expressed by \p left \f$\relsym\f$
+ \p right, where \f$\relsym\f$ is the relation symbol specified by
+ \p relsym..
+
+ \param left
+ The linear form on intervals with floating point boundaries that
+ is on the left of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param right
+ The linear form on intervals with floating point boundaries that
+ is on the right of the comparison operator. All of its coefficients
+ MUST be bounded.
+
+ \param relsym
+ The relation symbol.
+
+ \exception std::invalid_argument
+ Thrown if \p left (or \p right) is dimension-incompatible with \p *this.
+
+ \exception std::runtime_error
+ Thrown if \p relsym is not a valid relation symbol.
+
+ This function is used in abstract interpretation to model a filter
+ that is generated by a comparison of two expressions that are correctly
+ approximated by \p left and \p right respectively.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ void generalized_refine_with_linear_form_inequality(
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
+ Relation_Symbol relsym);
+
+ //! Refines \p store with the constraints defining \p *this.
+ /*!
+ \param store
+ The interval floating point abstract store to refine.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ void refine_fp_interval_abstract_store(
+ Box< Interval<FP_Format, Interval_Info> >& store)
+ const;
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to space dimension \p var, assigning the result to \p *this.
+
+ \param var
+ The space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p var is not a space dimension of \p *this.
+ */
+ void unconstrain(Variable var);
+
+ /*! \brief
+ Computes the \ref Cylindrification "cylindrification" of \p *this with
+ respect to the set of space dimensions \p vars,
+ assigning the result to \p *this.
+
+ \param vars
+ The set of space dimension that will be unconstrained.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void unconstrain(const Variables_Set& vars);
+
+ /*! \brief
+ Assigns to \p *this the intersection of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ void intersection_assign(const Polyhedron& y);
+
+ /*! \brief
+ Assigns to \p *this the poly-hull of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ void poly_hull_assign(const Polyhedron& y);
+
+ //! Same as poly_hull_assign(y).
+ void upper_bound_assign(const Polyhedron& y);
+
+ /*! \brief
+ Assigns to \p *this
+ the \ref Convex_Polyhedral_Difference "poly-difference"
+ of \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ void poly_difference_assign(const Polyhedron& y);
+
+ //! Same as poly_difference_assign(y).
+ void difference_assign(const Polyhedron& y);
+
+ /*! \brief
+ Assigns to \p *this a \ref Meet_Preserving_Simplification
+ "meet-preserving simplification" of \p *this with respect to \p y.
+ If \c false is returned, then the intersection is empty.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ bool simplify_using_context_assign(const Polyhedron& y);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine image"
+ of \p *this under the function mapping variable \p var to the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is assigned;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of
+ \p *this.
+
+ \if Include_Implementation_Details
+
+ When considering the generators of a polyhedron, the
+ affine transformation
+ \f[
+ \frac{\sum_{i=0}^{n-1} a_i x_i + b}{\mathrm{denominator}}
+ \f]
+ is assigned to \p var where \p expr is
+ \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
+ (\f$b\f$ is the inhomogeneous term).
+
+ If constraints are up-to-date, it uses the specialized function
+ affine_preimage() (for the system of constraints)
+ and inverse transformation to reach the same result.
+ To obtain the inverse transformation we use the following observation.
+
+ Observation:
+ -# The affine transformation is invertible if the coefficient
+ of \p var in this transformation (i.e., \f$a_\mathrm{var}\f$)
+ is different from zero.
+ -# If the transformation is invertible, then we can write
+ \f[
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
+ = a_\mathrm{var} x_\mathrm{var}
+ + \sum_{i \neq var} a_i x_i + b,
+ \f]
+ so that the inverse transformation is
+ \f[
+ a_\mathrm{var} x_\mathrm{var}
+ = \mathrm{denominator} * {x'}_\mathrm{var}
+ - \sum_{i \neq j} a_i x_i - b.
+ \f]
+
+ Then, if the transformation is invertible, all the entities that
+ were up-to-date remain up-to-date. Otherwise only generators remain
+ up-to-date.
+
+ In other words, if \f$R\f$ is a \f$m_1 \times n\f$ matrix representing
+ the rays of the polyhedron, \f$V\f$ is a \f$m_2 \times n\f$
+ matrix representing the points of the polyhedron and
+ \f[
+ P = \bigl\{\,
+ \vect{x} = (x_0, \ldots, x_{n-1})^\mathrm{T}
+ \bigm|
+ \vect{x} = \vect{\lambda} R + \vect{\mu} V,
+ \vect{\lambda} \in \Rset^{m_1}_+,
+ \vect{\mu} \in \Rset^{m_2}_+,
+ \sum_{i = 0}^{m_2 - 1} \mu_i = 1
+ \,\bigr\}
+ \f]
+ and \f$T\f$ is the affine transformation to apply to \f$P\f$, then
+ the resulting polyhedron is
+ \f[
+ P' = \bigl\{\,
+ (x_0, \ldots, T(x_0, \ldots, x_{n-1}),
+ \ldots, x_{n-1})^\mathrm{T}
+ \bigm|
+ (x_0, \ldots, x_{n-1})^\mathrm{T} \in P
+ \,\bigr\}.
+ \f]
+
+ Affine transformations are, for example:
+ - translations
+ - rotations
+ - symmetries.
+ \endif
+ */
+ void affine_image(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ // FIXME: To be completed.
+ /*!
+ Assigns to \p *this the
+ \ref affine_form_relation "affine form image"
+ of \p *this under the function mapping variable \p var into the
+ affine expression(s) specified by \p lf.
+
+ \param var
+ The variable to which the affine expression is assigned.
+
+ \param lf
+ The linear form on intervals with floating point boundaries that
+ defines the affine expression(s). ALL of its coefficients MUST be bounded.
+
+ \exception std::invalid_argument
+ Thrown if \p lf and \p *this are dimension-incompatible or if \p var is
+ not a space dimension of \p *this.
+
+ This function is used in abstract interpretation to model an assignment
+ of a value that is correctly overapproximated by \p lf to the
+ floating point variable represented by \p var.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ void affine_form_image(Variable var,
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf);
+
+ /*! \brief
+ Assigns to \p *this the
+ \ref Single_Update_Affine_Functions "affine preimage"
+ of \p *this under the function mapping variable \p var to the
+ affine expression specified by \p expr and \p denominator.
+
+ \param var
+ The variable to which the affine expression is substituted;
+
+ \param expr
+ The numerator of the affine expression;
+
+ \param denominator
+ The denominator of the affine expression (optional argument with
+ default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this.
+
+ \if Include_Implementation_Details
+
+ When considering constraints of a polyhedron, the affine transformation
+ \f[
+ \frac{\sum_{i=0}^{n-1} a_i x_i + b}{denominator},
+ \f]
+ is assigned to \p var where \p expr is
+ \f$\sum_{i=0}^{n-1} a_i x_i + b\f$
+ (\f$b\f$ is the inhomogeneous term).
+
+ If generators are up-to-date, then the specialized function
+ affine_image() is used (for the system of generators)
+ and inverse transformation to reach the same result.
+ To obtain the inverse transformation, we use the following observation.
+
+ Observation:
+ -# The affine transformation is invertible if the coefficient
+ of \p var in this transformation (i.e. \f$a_\mathrm{var}\f$)
+ is different from zero.
+ -# If the transformation is invertible, then we can write
+ \f[
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
+ = a_\mathrm{var} x_\mathrm{var}
+ + \sum_{i \neq \mathrm{var}} a_i x_i + b,
+ \f],
+ the inverse transformation is
+ \f[
+ a_\mathrm{var} x_\mathrm{var}
+ = \mathrm{denominator} * {x'}_\mathrm{var}
+ - \sum_{i \neq j} a_i x_i - b.
+ \f].
+
+ Then, if the transformation is invertible, all the entities that
+ were up-to-date remain up-to-date. Otherwise only constraints remain
+ up-to-date.
+
+ In other words, if \f$A\f$ is a \f$m \times n\f$ matrix representing
+ the constraints of the polyhedron, \f$T\f$ is the affine transformation
+ to apply to \f$P\f$ and
+ \f[
+ P = \bigl\{\,
+ \vect{x} = (x_0, \ldots, x_{n-1})^\mathrm{T}
+ \bigm|
+ A\vect{x} \geq \vect{0}
+ \,\bigr\}.
+ \f]
+ The resulting polyhedron is
+ \f[
+ P' = \bigl\{\,
+ \vect{x} = (x_0, \ldots, x_{n-1}))^\mathrm{T}
+ \bigm|
+ A'\vect{x} \geq \vect{0}
+ \,\bigr\},
+ \f]
+ where \f$A'\f$ is defined as follows:
+ \f[
+ {a'}_{ij}
+ = \begin{cases}
+ a_{ij} * \mathrm{denominator} + a_{i\mathrm{var}}*\mathrm{expr}[j]
+ \quad \mathrm{for } j \neq \mathrm{var}; \\
+ \mathrm{expr}[\mathrm{var}] * a_{i\mathrm{var}},
+ \quad \text{for } j = \mathrm{var}.
+ \end{cases}
+ \f]
+ \endif
+ */
+ void affine_preimage(Variable var,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_image(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{var}' \relsym \frac{\mathrm{expr}}{\mathrm{denominator}}\f$,
+ where \f$\mathord{\relsym}\f$ is the relation symbol encoded
+ by \p relsym.
+
+ \param var
+ The left hand side variable of the generalized affine relation;
+
+ \param relsym
+ The relation symbol;
+
+ \param expr
+ The numerator of the right hand side affine expression;
+
+ \param denominator
+ The denominator of the right hand side affine expression (optional
+ argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p expr and \p *this are
+ dimension-incompatible or if \p var is not a space dimension of \p *this
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void
+ generalized_affine_preimage(Variable var,
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_image(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*! \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Generalized_Affine_Relations "generalized affine relation"
+ \f$\mathrm{lhs}' \relsym \mathrm{rhs}\f$, where
+ \f$\mathord{\relsym}\f$ is the relation symbol encoded by \p relsym.
+
+ \param lhs
+ The left hand side affine expression;
+
+ \param relsym
+ The relation symbol;
+
+ \param rhs
+ The right hand side affine expression.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs
+ or if \p *this is a C_Polyhedron and \p relsym is a strict
+ relation symbol.
+ */
+ void generalized_affine_preimage(const Linear_Expression& lhs,
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
+
+ /*!
+ \brief
+ Assigns to \p *this the image of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_image(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*!
+ \brief
+ Assigns to \p *this the preimage of \p *this with respect to the
+ \ref Single_Update_Bounded_Affine_Relations "bounded affine relation"
+ \f$\frac{\mathrm{lb\_expr}}{\mathrm{denominator}}
+ \leq \mathrm{var}'
+ \leq \frac{\mathrm{ub\_expr}}{\mathrm{denominator}}\f$.
+
+ \param var
+ The variable updated by the affine relation;
+
+ \param lb_expr
+ The numerator of the lower bounding affine expression;
+
+ \param ub_expr
+ The numerator of the upper bounding affine expression;
+
+ \param denominator
+ The (common) denominator for the lower and upper bounding
+ affine expressions (optional argument with default value 1).
+
+ \exception std::invalid_argument
+ Thrown if \p denominator is zero or if \p lb_expr (resp., \p ub_expr)
+ and \p *this are dimension-incompatible or if \p var is not a space
+ dimension of \p *this.
+ */
+ void bounded_affine_preimage(Variable var,
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref Time_Elapse_Operator "time-elapse" between \p *this and \p y.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ void time_elapse_assign(const Polyhedron& y);
+
+ /*! \brief
+ \ref Wrapping_Operator "Wraps" the specified dimensions of the
+ vector space.
+
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be wrapped.
+
+ \param w
+ The width of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param r
+ The representation of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param o
+ The overflow behavior of the bounded integer type corresponding to
+ all the dimensions to be wrapped.
+
+ \param cs_p
+ Possibly null pointer to a constraint system whose variables
+ are contained in \p vars. If <CODE>*cs_p</CODE> depends on
+ variables not in \p vars, the behavior is undefined.
+ When non-null, the pointed-to constraint system is assumed to
+ represent the conditional or looping construct guard with respect
+ to which wrapping is performed. Since wrapping requires the
+ computation of upper bounds and due to non-distributivity of
+ constraint refinement over upper bounds, passing a constraint
+ system in this way can be more precise than refining the result of
+ the wrapping operation with the constraints in <CODE>*cs_p</CODE>.
+
+ \param complexity_threshold
+ A precision parameter of the \ref Wrapping_Operator "wrapping operator":
+ higher values result in possibly improved precision.
+
+ \param wrap_individually
+ <CODE>true</CODE> if the dimensions should be wrapped individually
+ (something that results in much greater efficiency to the detriment of
+ precision).
+
+ \exception std::invalid_argument
+ Thrown if <CODE>*cs_p</CODE> is dimension-incompatible with
+ \p vars, or if \p *this is dimension-incompatible \p vars or with
+ <CODE>*cs_p</CODE>.
+ */
+ void wrap_assign(const Variables_Set& vars,
+ Bounded_Integer_Type_Width w,
+ Bounded_Integer_Type_Representation r,
+ Bounded_Integer_Type_Overflow o,
+ const Constraint_System* cs_p = 0,
+ unsigned complexity_threshold = 16,
+ bool wrap_individually = true);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p vars.
+
+ \param vars
+ Points with non-integer coordinates for these variables/space-dimensions
+ can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity
+ = ANY_COMPLEXITY);
+
+ //! Assigns to \p *this its topological closure.
+ void topological_closure_assign();
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref BHRZ03_widening "BHRZ03-widening" between \p *this and \p y.
+
+ \param y
+ A polyhedron that <EM>must</EM> be contained in \p *this;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ void BHRZ03_widening_assign(const Polyhedron& y, unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref limited_extrapolation "limited extrapolation"
+ between \p *this and \p y using the \ref BHRZ03_widening
+ "BHRZ03-widening" operator.
+
+ \param y
+ A polyhedron that <EM>must</EM> be contained in \p *this;
+
+ \param cs
+ The system of constraints used to improve the widened polyhedron;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void limited_BHRZ03_extrapolation_assign(const Polyhedron& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref bounded_extrapolation "bounded extrapolation"
+ between \p *this and \p y using the \ref BHRZ03_widening
+ "BHRZ03-widening" operator.
+
+ \param y
+ A polyhedron that <EM>must</EM> be contained in \p *this;
+
+ \param cs
+ The system of constraints used to improve the widened polyhedron;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void bounded_BHRZ03_extrapolation_assign(const Polyhedron& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref H79_widening "H79_widening" between \p *this and \p y.
+
+ \param y
+ A polyhedron that <EM>must</EM> be contained in \p *this;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible or
+ dimension-incompatible.
+ */
+ void H79_widening_assign(const Polyhedron& y, unsigned* tp = 0);
+
+ //! Same as H79_widening_assign(y, tp).
+ void widening_assign(const Polyhedron& y, unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref limited_extrapolation "limited extrapolation"
+ between \p *this and \p y using the \ref H79_widening
+ "H79-widening" operator.
+
+ \param y
+ A polyhedron that <EM>must</EM> be contained in \p *this;
+
+ \param cs
+ The system of constraints used to improve the widened polyhedron;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void limited_H79_extrapolation_assign(const Polyhedron& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ /*! \brief
+ Assigns to \p *this the result of computing the
+ \ref bounded_extrapolation "bounded extrapolation"
+ between \p *this and \p y using the \ref H79_widening
+ "H79-widening" operator.
+
+ \param y
+ A polyhedron that <EM>must</EM> be contained in \p *this;
+
+ \param cs
+ The system of constraints used to improve the widened polyhedron;
+
+ \param tp
+ An optional pointer to an unsigned variable storing the number of
+ available tokens (to be used when applying the
+ \ref Widening_with_Tokens "widening with tokens" delay technique).
+
+ \exception std::invalid_argument
+ Thrown if \p *this, \p y and \p cs are topology-incompatible or
+ dimension-incompatible.
+ */
+ void bounded_H79_extrapolation_assign(const Polyhedron& y,
+ const Constraint_System& cs,
+ unsigned* tp = 0);
+
+ //@} // Space Dimension Preserving Member Functions that May Modify [...]
+
+ //! \name Member Functions that May Modify the Dimension of the Vector Space
+ //@{
+
+ /*! \brief
+ Adds \p m new space dimensions and embeds the old polyhedron
+ in the new vector space.
+
+ \param m
+ The number of dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ The new space dimensions will be those having the highest indexes
+ in the new polyhedron, which is characterized by a system
+ of constraints in which the variables running through
+ the new dimensions are not constrained.
+ For instance, when starting from the polyhedron \f$\cP \sseq \Rset^2\f$
+ and adding a third space dimension, the result will be the polyhedron
+ \f[
+ \bigl\{\,
+ (x, y, z)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cP
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_embed(dimension_type m);
+
+ /*! \brief
+ Adds \p m new space dimensions to the polyhedron
+ and does not embed it in the new vector space.
+
+ \param m
+ The number of space dimensions to add.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ The new space dimensions will be those having the highest indexes
+ in the new polyhedron, which is characterized by a system
+ of constraints in which the variables running through
+ the new dimensions are all constrained to be equal to 0.
+ For instance, when starting from the polyhedron \f$\cP \sseq \Rset^2\f$
+ and adding a third space dimension, the result will be the polyhedron
+ \f[
+ \bigl\{\,
+ (x, y, 0)^\transpose \in \Rset^3
+ \bigm|
+ (x, y)^\transpose \in \cP
+ \,\bigr\}.
+ \f]
+ */
+ void add_space_dimensions_and_project(dimension_type m);
+
+ /*! \brief
+ Assigns to \p *this the \ref Concatenating_Polyhedra "concatenation"
+ of \p *this and \p y, taken in this order.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are topology-incompatible.
+
+ \exception std::length_error
+ Thrown if the concatenation would cause the vector space
+ to exceed dimension <CODE>max_space_dimension()</CODE>.
+ */
+ void concatenate_assign(const Polyhedron& y);
+
+ //! Removes all the specified dimensions from the vector space.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be removed.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with one of the
+ Variable objects contained in \p vars.
+ */
+ void remove_space_dimensions(const Variables_Set& vars);
+
+ /*! \brief
+ Removes the higher dimensions of the vector space so that
+ the resulting space will have dimension \p new_dimension.
+
+ \exception std::invalid_argument
+ Thrown if \p new_dimensions is greater than the space dimension of
+ \p *this.
+ */
+ void remove_higher_space_dimensions(dimension_type new_dimension);
+
+ /*! \brief
+ Remaps the dimensions of the vector space according to
+ a \ref Mapping_the_Dimensions_of_the_Vector_Space "partial function".
+
+ \param pfunc
+ The partial function specifying the destiny of each space dimension.
+
+ The template type parameter Partial_Function must provide
+ the following methods.
+ \code
+ bool has_empty_codomain() const
+ \endcode
+ returns <CODE>true</CODE> if and only if the represented partial
+ function has an empty codomain (i.e., it is always undefined).
+ The <CODE>has_empty_codomain()</CODE> method will always be called
+ before the methods below. However, if
+ <CODE>has_empty_codomain()</CODE> returns <CODE>true</CODE>, none
+ of the functions below will be called.
+ \code
+ dimension_type max_in_codomain() const
+ \endcode
+ returns the maximum value that belongs to the codomain
+ of the partial function.
+ The <CODE>max_in_codomain()</CODE> method is called at most once.
+ \code
+ bool maps(dimension_type i, dimension_type& j) const
+ \endcode
+ Let \f$f\f$ be the represented function and \f$k\f$ be the value
+ of \p i. If \f$f\f$ is defined in \f$k\f$, then \f$f(k)\f$ is
+ assigned to \p j and <CODE>true</CODE> is returned.
+ If \f$f\f$ is undefined in \f$k\f$, then <CODE>false</CODE> is
+ returned.
+ This method is called at most \f$n\f$ times, where \f$n\f$ is the
+ dimension of the vector space enclosing the polyhedron.
+
+ The result is undefined if \p pfunc does not encode a partial
+ function with the properties described in the
+ \ref Mapping_the_Dimensions_of_the_Vector_Space
+ "specification of the mapping operator".
+ */
+ template <typename Partial_Function>
+ void map_space_dimensions(const Partial_Function& pfunc);
+
+ //! Creates \p m copies of the space dimension corresponding to \p var.
+ /*!
+ \param var
+ The variable corresponding to the space dimension to be replicated;
+
+ \param m
+ The number of replicas to be created.
+
+ \exception std::invalid_argument
+ Thrown if \p var does not correspond to a dimension of the vector space.
+
+ \exception std::length_error
+ Thrown if adding \p m new space dimensions would cause the
+ vector space to exceed dimension <CODE>max_space_dimension()</CODE>.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ and <CODE>var</CODE> has space dimension \f$k \leq n\f$,
+ then the \f$k\f$-th space dimension is
+ \ref expand_space_dimension "expanded" to \p m new space dimensions
+ \f$n\f$, \f$n+1\f$, \f$\dots\f$, \f$n+m-1\f$.
+ */
+ void expand_space_dimension(Variable var, dimension_type m);
+
+ //! Folds the space dimensions in \p vars into \p dest.
+ /*!
+ \param vars
+ The set of Variable objects corresponding to the space dimensions
+ to be folded;
+
+ \param dest
+ The variable corresponding to the space dimension that is the
+ destination of the folding operation.
+
+ \exception std::invalid_argument
+ Thrown if \p *this is dimension-incompatible with \p dest or with
+ one of the Variable objects contained in \p vars.
+ Also thrown if \p dest is contained in \p vars.
+
+ If \p *this has space dimension \f$n\f$, with \f$n > 0\f$,
+ <CODE>dest</CODE> has space dimension \f$k \leq n\f$,
+ \p vars is a set of variables whose maximum space dimension
+ is also less than or equal to \f$n\f$, and \p dest is not a member
+ of \p vars, then the space dimensions corresponding to
+ variables in \p vars are \ref fold_space_dimensions "folded"
+ into the \f$k\f$-th space dimension.
+ */
+ void fold_space_dimensions(const Variables_Set& vars, Variable dest);
+
+ //@} // Member Functions that May Modify the Dimension of the Vector Space
+
+ friend bool operator==(const Polyhedron& x, const Polyhedron& y);
+
+ //! \name Miscellaneous Member Functions
+ //@{
+
+ //! Destructor.
+ ~Polyhedron();
+
+ /*! \brief
+ Swaps \p *this with polyhedron \p y.
+ (\p *this and \p y can be dimension-incompatible.)
+
+ \exception std::invalid_argument
+ Thrown if \p x and \p y are topology-incompatible.
+ */
+ void m_swap(Polyhedron& y);
+
+ PPL_OUTPUT_DECLARATIONS
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a 32-bit hash code for \p *this.
+
+ If \p x and \p y are such that <CODE>x == y</CODE>,
+ then <CODE>x.hash_code() == y.hash_code()</CODE>.
+ */
+ int32_t hash_code() const;
+
+ //@} // Miscellaneous Member Functions
+
+private:
+ static const Representation default_con_sys_repr = DENSE;
+ static const Representation default_gen_sys_repr = DENSE;
+
+ //! The system of constraints.
+ Constraint_System con_sys;
+
+ //! The system of generators.
+ Generator_System gen_sys;
+
+ //! The saturation matrix having constraints on its columns.
+ Bit_Matrix sat_c;
+
+ //! The saturation matrix having generators on its columns.
+ Bit_Matrix sat_g;
+
+#define PPL_IN_Polyhedron_CLASS
+#include "Ph_Status_idefs.hh"
+#undef PPL_IN_Polyhedron_CLASS
+
+ //! The status flags to keep track of the polyhedron's internal state.
+ Status status;
+
+ //! The number of dimensions of the enclosing vector space.
+ dimension_type space_dim;
+
+ //! Returns the topological kind of the polyhedron.
+ Topology topology() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if the polyhedron
+ is necessarily closed.
+ */
+ bool is_necessarily_closed() const;
+
+ friend bool
+ Parma_Polyhedra_Library::Interfaces
+ ::is_necessarily_closed_for_interfaces(const Polyhedron&);
+
+ /*! \brief
+ Uses a copy of constraint \p c to refine the system of constraints
+ of \p *this.
+
+ \param c The constraint to be added. If it is dimension-incompatible
+ with \p *this, the behavior is undefined.
+ */
+ void refine_no_check(const Constraint& c);
+
+ //! \name Private Verifiers: Verify if Individual Flags are Set
+ //@{
+
+ //! Returns <CODE>true</CODE> if the polyhedron is known to be empty.
+ /*!
+ The return value <CODE>false</CODE> does not necessarily
+ implies that \p *this is non-empty.
+ */
+ bool marked_empty() const;
+
+ //! Returns <CODE>true</CODE> if the system of constraints is up-to-date.
+ bool constraints_are_up_to_date() const;
+
+ //! Returns <CODE>true</CODE> if the system of generators is up-to-date.
+ bool generators_are_up_to_date() const;
+
+ //! Returns <CODE>true</CODE> if the system of constraints is minimized.
+ /*!
+ Note that only \em weak minimization is entailed, so that
+ an NNC polyhedron may still have \f$\epsilon\f$-redundant constraints.
+ */
+ bool constraints_are_minimized() const;
+
+ //! Returns <CODE>true</CODE> if the system of generators is minimized.
+ /*!
+ Note that only \em weak minimization is entailed, so that
+ an NNC polyhedron may still have \f$\epsilon\f$-redundant generators.
+ */
+ bool generators_are_minimized() const;
+
+ //! Returns <CODE>true</CODE> if there are pending constraints.
+ bool has_pending_constraints() const;
+
+ //! Returns <CODE>true</CODE> if there are pending generators.
+ bool has_pending_generators() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if there are
+ either pending constraints or pending generators.
+ */
+ bool has_something_pending() const;
+
+ //! Returns <CODE>true</CODE> if the polyhedron can have something pending.
+ bool can_have_something_pending() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the saturation matrix \p sat_c
+ is up-to-date.
+ */
+ bool sat_c_is_up_to_date() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the saturation matrix \p sat_g
+ is up-to-date.
+ */
+ bool sat_g_is_up_to_date() const;
+
+ //@} // Private Verifiers: Verify if Individual Flags are Set
+
+ //! \name State Flag Setters: Set Only the Specified Flags
+ //@{
+
+ /*! \brief
+ Sets \p status to express that the polyhedron is the universe
+ 0-dimension vector space, clearing all corresponding matrices.
+ */
+ void set_zero_dim_univ();
+
+ /*! \brief
+ Sets \p status to express that the polyhedron is empty,
+ clearing all corresponding matrices.
+ */
+ void set_empty();
+
+ //! Sets \p status to express that constraints are up-to-date.
+ void set_constraints_up_to_date();
+
+ //! Sets \p status to express that generators are up-to-date.
+ void set_generators_up_to_date();
+
+ //! Sets \p status to express that constraints are minimized.
+ void set_constraints_minimized();
+
+ //! Sets \p status to express that generators are minimized.
+ void set_generators_minimized();
+
+ //! Sets \p status to express that constraints are pending.
+ void set_constraints_pending();
+
+ //! Sets \p status to express that generators are pending.
+ void set_generators_pending();
+
+ //! Sets \p status to express that \p sat_c is up-to-date.
+ void set_sat_c_up_to_date();
+
+ //! Sets \p status to express that \p sat_g is up-to-date.
+ void set_sat_g_up_to_date();
+
+ //@} // State Flag Setters: Set Only the Specified Flags
+
+ //! \name State Flag Cleaners: Clear Only the Specified Flag
+ //@{
+
+ //! Clears the \p status flag indicating that the polyhedron is empty.
+ void clear_empty();
+
+ //! Sets \p status to express that constraints are no longer up-to-date.
+ /*!
+ This also implies that they are neither minimized
+ and both saturation matrices are no longer meaningful.
+ */
+ void clear_constraints_up_to_date();
+
+ //! Sets \p status to express that generators are no longer up-to-date.
+ /*!
+ This also implies that they are neither minimized
+ and both saturation matrices are no longer meaningful.
+ */
+ void clear_generators_up_to_date();
+
+ //! Sets \p status to express that constraints are no longer minimized.
+ void clear_constraints_minimized();
+
+ //! Sets \p status to express that generators are no longer minimized.
+ void clear_generators_minimized();
+
+ //! Sets \p status to express that there are no longer pending constraints.
+ void clear_pending_constraints();
+
+ //! Sets \p status to express that there are no longer pending generators.
+ void clear_pending_generators();
+
+ //! Sets \p status to express that \p sat_c is no longer up-to-date.
+ void clear_sat_c_up_to_date();
+
+ //! Sets \p status to express that \p sat_g is no longer up-to-date.
+ void clear_sat_g_up_to_date();
+
+ //@} // State Flag Cleaners: Clear Only the Specified Flag
+
+ //! \name The Handling of Pending Rows
+ //@{
+
+ /*! \brief
+ Processes the pending rows of either description of the polyhedron
+ and obtains a minimized polyhedron.
+
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+
+ It is assumed that the polyhedron does have some constraints or
+ generators pending.
+ */
+ bool process_pending() const;
+
+ //! Processes the pending constraints and obtains a minimized polyhedron.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+
+ It is assumed that the polyhedron does have some pending constraints.
+ */
+ bool process_pending_constraints() const;
+
+ //! Processes the pending generators and obtains a minimized polyhedron.
+ /*!
+ It is assumed that the polyhedron does have some pending generators.
+ */
+ void process_pending_generators() const;
+
+ /*! \brief
+ Lazily integrates the pending descriptions of the polyhedron
+ to obtain a constraint system without pending rows.
+
+ It is assumed that the polyhedron does have some constraints or
+ generators pending.
+ */
+ void remove_pending_to_obtain_constraints() const;
+
+ /*! \brief
+ Lazily integrates the pending descriptions of the polyhedron
+ to obtain a generator system without pending rows.
+
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+
+ It is assumed that the polyhedron does have some constraints or
+ generators pending.
+ */
+ bool remove_pending_to_obtain_generators() const;
+
+ //@} // The Handling of Pending Rows
+
+ //! \name Updating and Sorting Matrices
+ //@{
+
+ //! Updates constraints starting from generators and minimizes them.
+ /*!
+ The resulting system of constraints is only partially sorted:
+ the equalities are in the upper part of the matrix,
+ while the inequalities in the lower part.
+ */
+ void update_constraints() const;
+
+ //! Updates generators starting from constraints and minimizes them.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+
+ The resulting system of generators is only partially sorted:
+ the lines are in the upper part of the matrix,
+ while rays and points are in the lower part.
+ It is illegal to call this method when the Status field
+ already declares the polyhedron to be empty.
+ */
+ bool update_generators() const;
+
+ //! Updates \p sat_c using the updated constraints and generators.
+ /*!
+ It is assumed that constraints and generators are up-to-date
+ and minimized and that the Status field does not already flag
+ \p sat_c to be up-to-date.
+ The values of the saturation matrix are computed as follows:
+ \f[
+ \begin{cases}
+ sat\_c[i][j] = 0,
+ \quad \text{if } G[i] \cdot C^\mathrm{T}[j] = 0; \\
+ sat\_c[i][j] = 1,
+ \quad \text{if } G[i] \cdot C^\mathrm{T}[j] > 0.
+ \end{cases}
+ \f]
+ */
+ void update_sat_c() const;
+
+ //! Updates \p sat_g using the updated constraints and generators.
+ /*!
+ It is assumed that constraints and generators are up-to-date
+ and minimized and that the Status field does not already flag
+ \p sat_g to be up-to-date.
+ The values of the saturation matrix are computed as follows:
+ \f[
+ \begin{cases}
+ sat\_g[i][j] = 0,
+ \quad \text{if } C[i] \cdot G^\mathrm{T}[j] = 0; \\
+ sat\_g[i][j] = 1,
+ \quad \text{if } C[i] \cdot G^\mathrm{T}[j] > 0.
+ \end{cases}
+ \f]
+ */
+ void update_sat_g() const;
+
+ //! Sorts the matrix of constraints keeping status consistency.
+ /*!
+ It is assumed that constraints are up-to-date.
+ If at least one of the saturation matrices is up-to-date,
+ then \p sat_g is kept consistent with the sorted matrix
+ of constraints.
+ The method is declared \p const because reordering
+ the constraints does not modify the polyhedron
+ from a \e logical point of view.
+ */
+ void obtain_sorted_constraints() const;
+
+ //! Sorts the matrix of generators keeping status consistency.
+ /*!
+ It is assumed that generators are up-to-date.
+ If at least one of the saturation matrices is up-to-date,
+ then \p sat_c is kept consistent with the sorted matrix
+ of generators.
+ The method is declared \p const because reordering
+ the generators does not modify the polyhedron
+ from a \e logical point of view.
+ */
+ void obtain_sorted_generators() const;
+
+ //! Sorts the matrix of constraints and updates \p sat_c.
+ /*!
+ It is assumed that both constraints and generators
+ are up-to-date and minimized.
+ The method is declared \p const because reordering
+ the constraints does not modify the polyhedron
+ from a \e logical point of view.
+ */
+ void obtain_sorted_constraints_with_sat_c() const;
+
+ //! Sorts the matrix of generators and updates \p sat_g.
+ /*!
+ It is assumed that both constraints and generators
+ are up-to-date and minimized.
+ The method is declared \p const because reordering
+ the generators does not modify the polyhedron
+ from a \e logical point of view.
+ */
+ void obtain_sorted_generators_with_sat_g() const;
+
+ //@} // Updating and Sorting Matrices
+
+ //! \name Weak and Strong Minimization of Descriptions
+ //@{
+
+ //! Applies (weak) minimization to both the constraints and generators.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+
+ Minimization is not attempted if the Status field already declares
+ both systems to be minimized.
+ */
+ bool minimize() const;
+
+ //! Applies strong minimization to the constraints of an NNC polyhedron.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+ */
+ bool strongly_minimize_constraints() const;
+
+ //! Applies strong minimization to the generators of an NNC polyhedron.
+ /*!
+ \return
+ <CODE>false</CODE> if and only if \p *this turns out to be an
+ empty polyhedron.
+ */
+ bool strongly_minimize_generators() const;
+
+ //! If constraints are up-to-date, obtain a simplified copy of them.
+ Constraint_System simplified_constraints() const;
+
+ //@} // Weak and Strong Minimization of Descriptions
+
+ enum Three_Valued_Boolean {
+ TVB_TRUE,
+ TVB_FALSE,
+ TVB_DONT_KNOW
+ };
+
+ //! Polynomial but incomplete equivalence test between polyhedra.
+ Three_Valued_Boolean quick_equivalence_test(const Polyhedron& y) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is included in \p y.
+ bool is_included_in(const Polyhedron& y) const;
+
+ //! Checks if and how \p expr is bounded in \p *this.
+ /*!
+ Returns <CODE>true</CODE> if and only if \p from_above is
+ <CODE>true</CODE> and \p expr is bounded from above in \p *this,
+ or \p from_above is <CODE>false</CODE> and \p expr is bounded
+ from below in \p *this.
+
+ \param expr
+ The linear expression to test;
+
+ \param from_above
+ <CODE>true</CODE> if and only if the boundedness of interest is
+ "from above".
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+ */
+ bool bounds(const Linear_Expression& expr, bool from_above) const;
+
+ //! Maximizes or minimizes \p expr subject to \p *this.
+ /*!
+ \param expr
+ The linear expression to be maximized or minimized subject to \p
+ *this;
+
+ \param maximize
+ <CODE>true</CODE> if maximization is what is wanted;
+
+ \param ext_n
+ The numerator of the extremum value;
+
+ \param ext_d
+ The denominator of the extremum value;
+
+ \param included
+ <CODE>true</CODE> if and only if the extremum of \p expr can
+ actually be reached in \p * this;
+
+ \param g
+ When maximization or minimization succeeds, will be assigned
+ a point or closure point where \p expr reaches the
+ corresponding extremum value.
+
+ \exception std::invalid_argument
+ Thrown if \p expr and \p *this are dimension-incompatible.
+
+ If \p *this is empty or \p expr is not bounded in the appropriate
+ direction, <CODE>false</CODE> is returned and \p ext_n, \p ext_d,
+ \p included and \p g are left untouched.
+ */
+ bool max_min(const Linear_Expression& expr,
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator& g) const;
+
+ //! \name Widening- and Extrapolation-Related Functions
+ //@{
+
+ /*! \brief
+ Copies to \p cs_selection the constraints of \p y corresponding
+ to the definition of the CH78-widening of \p *this and \p y.
+ */
+ void select_CH78_constraints(const Polyhedron& y,
+ Constraint_System& cs_selection) const;
+
+ /*! \brief
+ Splits the constraints of `x' into two subsets, depending on whether
+ or not they are selected to compute the \ref H79_widening "H79-widening"
+ of \p *this and \p y.
+ */
+ void select_H79_constraints(const Polyhedron& y,
+ Constraint_System& cs_selected,
+ Constraint_System& cs_not_selected) const;
+
+ bool BHRZ03_combining_constraints(const Polyhedron& y,
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79,
+ const Constraint_System& x_minus_H79_cs);
+
+ bool BHRZ03_evolving_points(const Polyhedron& y,
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79);
+
+ bool BHRZ03_evolving_rays(const Polyhedron& y,
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79);
+
+ static void modify_according_to_evolution(Linear_Expression& ray,
+ const Linear_Expression& x,
+ const Linear_Expression& y);
+
+ //@} // Widening- and Extrapolation-Related Functions
+
+ //! Adds new space dimensions to the given linear systems.
+ /*!
+ \param sys1
+ The linear system to which columns are added;
+
+ \param sys2
+ The linear system to which rows and columns are added;
+
+ \param sat1
+ The saturation matrix whose columns are indexed by the rows of
+ \p sys1. On entry it is up-to-date;
+
+ \param sat2
+ The saturation matrix whose columns are indexed by the rows of \p
+ sys2;
+
+ \param add_dim
+ The number of space dimensions to add.
+
+ Adds new space dimensions to the vector space modifying the linear
+ systems and saturation matrices.
+ This function is invoked only by
+ <CODE>add_space_dimensions_and_embed()</CODE> and
+ <CODE>add_space_dimensions_and_project()</CODE>, passing the
+ linear system of constraints and that of generators (and the
+ corresponding saturation matrices) in different order (see those
+ methods for details).
+ */
+ template <typename Linear_System1, typename Linear_System2>
+ static void add_space_dimensions(Linear_System1& sys1,
+ Linear_System2& sys2,
+ Bit_Matrix& sat1,
+ Bit_Matrix& sat2,
+ dimension_type add_dim);
+
+ //! \name Minimization-Related Static Member Functions
+ //@{
+
+ //! Builds and simplifies constraints from generators (or vice versa).
+ // Detailed Doxygen comment to be found in file minimize.cc.
+ template <typename Source_Linear_System, typename Dest_Linear_System>
+ static bool minimize(bool con_to_gen,
+ Source_Linear_System& source,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat);
+
+ /*! \brief
+ Adds given constraints and builds minimized corresponding generators
+ or vice versa.
+ */
+ // Detailed Doxygen comment to be found in file minimize.cc.
+ template <typename Source_Linear_System1, typename Source_Linear_System2,
+ typename Dest_Linear_System>
+ static bool add_and_minimize(bool con_to_gen,
+ Source_Linear_System1& source1,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat,
+ const Source_Linear_System2& source2);
+
+ /*! \brief
+ Adds given constraints and builds minimized corresponding generators
+ or vice versa. The given constraints are in \p source.
+ */
+ // Detailed Doxygen comment to be found in file minimize.cc.
+ template <typename Source_Linear_System, typename Dest_Linear_System>
+ static bool add_and_minimize(bool con_to_gen,
+ Source_Linear_System& source,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat);
+
+ //! Performs the conversion from constraints to generators and vice versa.
+ // Detailed Doxygen comment to be found in file conversion.cc.
+ template <typename Source_Linear_System, typename Dest_Linear_System>
+ static dimension_type conversion(Source_Linear_System& source,
+ dimension_type start,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat,
+ dimension_type num_lines_or_equalities);
+
+ /*! \brief
+ Uses Gauss' elimination method to simplify the result of
+ <CODE>conversion()</CODE>.
+ */
+ // Detailed Doxygen comment to be found in file simplify.cc.
+ template <typename Linear_System1>
+ static dimension_type simplify(Linear_System1& sys, Bit_Matrix& sat);
+
+ //@} // Minimization-Related Static Member Functions
+
+ /*! \brief
+ Pointer to an array used by simplify().
+
+ Holds (between class initialization and finalization) a pointer to
+ an array, allocated with operator new[](), of
+ simplify_num_saturators_size elements.
+ */
+ static dimension_type* simplify_num_saturators_p;
+
+ /*! \brief
+ Dimension of an array used by simplify().
+
+ Holds (between class initialization and finalization) the size of the
+ array pointed to by simplify_num_saturators_p.
+ */
+ static size_t simplify_num_saturators_size;
+
+ template <typename Interval> friend class Parma_Polyhedra_Library::Box;
+ template <typename T> friend class Parma_Polyhedra_Library::BD_Shape;
+ template <typename T> friend class Parma_Polyhedra_Library::Octagonal_Shape;
+ friend class Parma_Polyhedra_Library::Grid;
+ friend class Parma_Polyhedra_Library::BHRZ03_Certificate;
+ friend class Parma_Polyhedra_Library::H79_Certificate;
+
+protected:
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ If the poly-hull of \p *this and \p y is exact it is assigned
+ to \p *this and \c true is returned, otherwise \c false is returned.
+
+ Current implementation is based on (a variant of) Algorithm 8.1 in
+ A. Bemporad, K. Fukuda, and F. D. Torrisi
+ <em>Convexity Recognition of the Union of Polyhedra</em>
+ Technical Report AUT00-13, ETH Zurich, 2000
+
+ \note
+ It is assumed that \p *this and \p y are topologically closed
+ and dimension-compatible;
+ if the assumption does not hold, the behavior is undefined.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ bool BFT00_poly_hull_assign_if_exact(const Polyhedron& y);
+
+ bool BHZ09_poly_hull_assign_if_exact(const Polyhedron& y);
+ bool BHZ09_C_poly_hull_assign_if_exact(const Polyhedron& y);
+ bool BHZ09_NNC_poly_hull_assign_if_exact(const Polyhedron& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \name Exception Throwers
+ //@{
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+protected:
+ void throw_invalid_argument(const char* method, const char* reason) const;
+
+ void throw_topology_incompatible(const char* method,
+ const char* ph_name,
+ const Polyhedron& ph) const;
+ void throw_topology_incompatible(const char* method,
+ const char* c_name,
+ const Constraint& c) const;
+ void throw_topology_incompatible(const char* method,
+ const char* g_name,
+ const Generator& g) const;
+ void throw_topology_incompatible(const char* method,
+ const char* cs_name,
+ const Constraint_System& cs) const;
+ void throw_topology_incompatible(const char* method,
+ const char* gs_name,
+ const Generator_System& gs) const;
+
+ void throw_dimension_incompatible(const char* method,
+ const char* other_name,
+ dimension_type other_dim) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* ph_name,
+ const Polyhedron& ph) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* le_name,
+ const Linear_Expression& le) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* c_name,
+ const Constraint& c) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* g_name,
+ const Generator& g) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* cg_name,
+ const Congruence& cg) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* cs_name,
+ const Constraint_System& cs) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* gs_name,
+ const Generator_System& gs) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* cgs_name,
+ const Congruence_System& cgs) const;
+ template <typename C>
+ void throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<C>& lf) const;
+ void throw_dimension_incompatible(const char* method,
+ const char* var_name,
+ Variable var) const;
+ void throw_dimension_incompatible(const char* method,
+ dimension_type required_space_dim) const;
+
+ // Note: the following three methods need to be static, because they
+ // can be called inside constructors (before actually constructing the
+ // polyhedron object).
+ static dimension_type
+ check_space_dimension_overflow(dimension_type dim, dimension_type max,
+ const Topology topol,
+ const char* method, const char* reason);
+
+ static dimension_type
+ check_space_dimension_overflow(dimension_type dim, const Topology topol,
+ const char* method, const char* reason);
+
+ template <typename Object>
+ static Object&
+ check_obj_space_dimension_overflow(Object& input, Topology topol,
+ const char* method, const char* reason);
+
+ void throw_invalid_generator(const char* method,
+ const char* g_name) const;
+
+ void throw_invalid_generators(const char* method,
+ const char* gs_name) const;
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //@} // Exception Throwers
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+ /*! \brief
+ Possibly tightens \p *this by dropping some points with non-integer
+ coordinates for the space dimensions corresponding to \p *vars_p.
+
+ \param vars_p
+ When nonzero, points with non-integer coordinates for the
+ variables/space-dimensions contained in \p *vars_p can be discarded.
+
+ \param complexity
+ The maximal complexity of any algorithms used.
+
+ \note
+ Currently there is no optimality guarantee, not even if
+ \p complexity is <CODE>ANY_COMPLEXITY</CODE>.
+ */
+ void drop_some_non_integer_points(const Variables_Set* vars_p,
+ Complexity_Class complexity);
+
+ //! Helper function that overapproximates an interval linear form.
+ /*!
+ \param lf
+ The linear form on intervals with floating point boundaries to approximate.
+ ALL of its coefficients MUST be bounded.
+
+ \param lf_dimension
+ Must be the space dimension of \p lf.
+
+ \param result
+ Used to store the result.
+
+ This function makes \p result become a linear form that is a correct
+ approximation of \p lf under the constraints specified by \p *this.
+ The resulting linear form has the property that all of its variable
+ coefficients have a non-significant upper bound and can thus be
+ considered as singletons.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ void overapproximate_linear_form(
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const dimension_type lf_dimension,
+ Linear_Form<Interval <FP_Format, Interval_Info> >& result);
+
+ /*! \brief
+ Helper function that makes \p result become a Linear_Expression obtained
+ by normalizing the denominators in \p lf.
+
+ \param lf
+ The linear form on intervals with floating point boundaries to normalize.
+ It should be the result of an application of static method
+ <CODE>overapproximate_linear_form</CODE>.
+
+ \param lf_dimension
+ Must be the space dimension of \p lf.
+
+ \param result
+ Used to store the result.
+
+ This function ignores the upper bound of intervals in \p lf,
+ so that in fact \p result can be seen as \p lf multiplied by a proper
+ normalization constant.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ static void convert_to_integer_expression(
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const dimension_type lf_dimension,
+ Linear_Expression& result);
+
+ //! Normalization helper function.
+ /*!
+ \param lf
+ The linear form on intervals with floating point boundaries to normalize.
+ It should be the result of an application of static method
+ <CODE>overapproximate_linear_form</CODE>.
+
+ \param lf_dimension
+ Must be the space dimension of \p lf.
+
+ \param res
+ Stores the normalized linear form, except its inhomogeneous term.
+
+ \param res_low_coeff
+ Stores the lower boundary of the inhomogeneous term of the result.
+
+ \param res_hi_coeff
+ Stores the higher boundary of the inhomogeneous term of the result.
+
+ \param denominator
+ Becomes the common denominator of \p res_low_coeff, \p res_hi_coeff
+ and all coefficients in \p res.
+
+ Results are obtained by normalizing denominators in \p lf, ignoring
+ the upper bounds of variable coefficients in \p lf.
+ */
+ template <typename FP_Format, typename Interval_Info>
+ static void
+ convert_to_integer_expressions(const Linear_Form<Interval<FP_Format,
+ Interval_Info> >&
+ lf,
+ const dimension_type lf_dimension,
+ Linear_Expression& res,
+ Coefficient& res_low_coeff,
+ Coefficient& res_hi_coeff,
+ Coefficient& denominator);
+
+ template <typename Linear_System1, typename Row2>
+ static bool
+ add_to_system_and_check_independence(Linear_System1& eq_sys,
+ const Row2& eq);
+};
+
+#include "Ph_Status_inlines.hh"
+#include "Polyhedron_inlines.hh"
+#include "Polyhedron_templates.hh"
+#include "Polyhedron_chdims_templates.hh"
+#include "Polyhedron_conversion_templates.hh"
+#include "Polyhedron_minimize_templates.hh"
+#include "Polyhedron_simplify_templates.hh"
+
+#endif // !defined(PPL_Polyhedron_defs_hh)
diff --git a/src/Polyhedron_inlines.hh b/src/Polyhedron_inlines.hh
new file mode 100644
index 0000000..f543e9c
--- /dev/null
+++ b/src/Polyhedron_inlines.hh
@@ -0,0 +1,459 @@
+/* Polyhedron class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_inlines_hh
+#define PPL_Polyhedron_inlines_hh 1
+
+#include "Generator_defs.hh"
+#include "compiler.hh"
+#include <algorithm>
+#include <deque>
+
+namespace Parma_Polyhedra_Library {
+
+inline memory_size_type
+Polyhedron::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline dimension_type
+Polyhedron::space_dimension() const {
+ return space_dim;
+}
+
+inline int32_t
+Polyhedron::hash_code() const {
+ return hash_code_from_dimension(space_dimension());
+}
+
+inline dimension_type
+Polyhedron::max_space_dimension() {
+ using std::min;
+ // One dimension is reserved to have a value of type dimension_type
+ // that does not represent a legal dimension.
+ return min(std::numeric_limits<dimension_type>::max() - 1,
+ min(Constraint_System::max_space_dimension(),
+ Generator_System::max_space_dimension()
+ )
+ );
+}
+
+inline Topology
+Polyhedron::topology() const {
+ // We can check either one of the two matrices.
+ // (`con_sys' is slightly better, since it is placed at offset 0.)
+ return con_sys.topology();
+}
+
+inline bool
+Polyhedron::is_discrete() const {
+ return affine_dimension() == 0;
+}
+
+inline bool
+Polyhedron::is_necessarily_closed() const {
+ // We can check either one of the two matrices.
+ // (`con_sys' is slightly better, since it is placed at offset 0.)
+ return con_sys.is_necessarily_closed();
+}
+
+inline void
+Polyhedron::upper_bound_assign(const Polyhedron& y) {
+ poly_hull_assign(y);
+}
+
+inline void
+Polyhedron::difference_assign(const Polyhedron& y) {
+ poly_difference_assign(y);
+}
+
+inline void
+Polyhedron::widening_assign(const Polyhedron& y, unsigned* tp) {
+ H79_widening_assign(y, tp);
+}
+
+inline
+Polyhedron::~Polyhedron() {
+}
+
+inline void
+Polyhedron::m_swap(Polyhedron& y) {
+ if (topology() != y.topology())
+ throw_topology_incompatible("swap(y)", "y", y);
+ using std::swap;
+ swap(con_sys, y.con_sys);
+ swap(gen_sys, y.gen_sys);
+ swap(sat_c, y.sat_c);
+ swap(sat_g, y.sat_g);
+ swap(status, y.status);
+ swap(space_dim, y.space_dim);
+}
+
+/*! \relates Polyhedron */
+inline void
+swap(Polyhedron& x, Polyhedron& y) {
+ x.m_swap(y);
+}
+
+inline bool
+Polyhedron::can_recycle_constraint_systems() {
+ return true;
+}
+
+inline bool
+Polyhedron::can_recycle_congruence_systems() {
+ return false;
+}
+
+inline bool
+Polyhedron::marked_empty() const {
+ return status.test_empty();
+}
+
+inline bool
+Polyhedron::constraints_are_up_to_date() const {
+ return status.test_c_up_to_date();
+}
+
+inline bool
+Polyhedron::generators_are_up_to_date() const {
+ return status.test_g_up_to_date();
+}
+
+inline bool
+Polyhedron::constraints_are_minimized() const {
+ return status.test_c_minimized();
+}
+
+inline bool
+Polyhedron::generators_are_minimized() const {
+ return status.test_g_minimized();
+}
+
+inline bool
+Polyhedron::sat_c_is_up_to_date() const {
+ return status.test_sat_c_up_to_date();
+}
+
+inline bool
+Polyhedron::sat_g_is_up_to_date() const {
+ return status.test_sat_g_up_to_date();
+}
+
+inline bool
+Polyhedron::has_pending_constraints() const {
+ return status.test_c_pending();
+}
+
+inline bool
+Polyhedron::has_pending_generators() const {
+ return status.test_g_pending();
+}
+
+inline bool
+Polyhedron::has_something_pending() const {
+ return status.test_c_pending() || status.test_g_pending();
+}
+
+inline bool
+Polyhedron::can_have_something_pending() const {
+ return constraints_are_minimized()
+ && generators_are_minimized()
+ && (sat_c_is_up_to_date() || sat_g_is_up_to_date());
+}
+
+inline bool
+Polyhedron::is_empty() const {
+ if (marked_empty())
+ return true;
+ // Try a fast-fail test: if generators are up-to-date and
+ // there are no pending constraints, then the generator system
+ // (since it is well formed) contains a point.
+ if (generators_are_up_to_date() && !has_pending_constraints())
+ return false;
+ return !minimize();
+}
+
+inline void
+Polyhedron::set_constraints_up_to_date() {
+ status.set_c_up_to_date();
+}
+
+inline void
+Polyhedron::set_generators_up_to_date() {
+ status.set_g_up_to_date();
+}
+
+inline void
+Polyhedron::set_constraints_minimized() {
+ set_constraints_up_to_date();
+ status.set_c_minimized();
+}
+
+inline void
+Polyhedron::set_generators_minimized() {
+ set_generators_up_to_date();
+ status.set_g_minimized();
+}
+
+inline void
+Polyhedron::set_constraints_pending() {
+ status.set_c_pending();
+}
+
+inline void
+Polyhedron::set_generators_pending() {
+ status.set_g_pending();
+}
+
+inline void
+Polyhedron::set_sat_c_up_to_date() {
+ status.set_sat_c_up_to_date();
+}
+
+inline void
+Polyhedron::set_sat_g_up_to_date() {
+ status.set_sat_g_up_to_date();
+}
+
+inline void
+Polyhedron::clear_empty() {
+ status.reset_empty();
+}
+
+inline void
+Polyhedron::clear_constraints_minimized() {
+ status.reset_c_minimized();
+}
+
+inline void
+Polyhedron::clear_generators_minimized() {
+ status.reset_g_minimized();
+}
+
+inline void
+Polyhedron::clear_pending_constraints() {
+ status.reset_c_pending();
+}
+
+inline void
+Polyhedron::clear_pending_generators() {
+ status.reset_g_pending();
+}
+
+inline void
+Polyhedron::clear_sat_c_up_to_date() {
+ status.reset_sat_c_up_to_date();
+ // Can get rid of sat_c here.
+}
+
+inline void
+Polyhedron::clear_sat_g_up_to_date() {
+ status.reset_sat_g_up_to_date();
+ // Can get rid of sat_g here.
+}
+
+inline void
+Polyhedron::clear_constraints_up_to_date() {
+ clear_pending_constraints();
+ clear_constraints_minimized();
+ clear_sat_c_up_to_date();
+ clear_sat_g_up_to_date();
+ status.reset_c_up_to_date();
+ // Can get rid of con_sys here.
+}
+
+inline void
+Polyhedron::clear_generators_up_to_date() {
+ clear_pending_generators();
+ clear_generators_minimized();
+ clear_sat_c_up_to_date();
+ clear_sat_g_up_to_date();
+ status.reset_g_up_to_date();
+ // Can get rid of gen_sys here.
+}
+
+inline bool
+Polyhedron::process_pending() const {
+ PPL_ASSERT(space_dim > 0 && !marked_empty());
+ PPL_ASSERT(has_something_pending());
+
+ if (has_pending_constraints())
+ return process_pending_constraints();
+
+ PPL_ASSERT(has_pending_generators());
+ process_pending_generators();
+ return true;
+}
+
+inline bool
+Polyhedron::bounds_from_above(const Linear_Expression& expr) const {
+ return bounds(expr, true);
+}
+
+inline bool
+Polyhedron::bounds_from_below(const Linear_Expression& expr) const {
+ return bounds(expr, false);
+}
+
+inline bool
+Polyhedron::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
+ Generator g(point());
+ return max_min(expr, true, sup_n, sup_d, maximum, g);
+}
+
+inline bool
+Polyhedron::maximize(const Linear_Expression& expr,
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const {
+ return max_min(expr, true, sup_n, sup_d, maximum, g);
+}
+
+inline bool
+Polyhedron::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
+ Generator g(point());
+ return max_min(expr, false, inf_n, inf_d, minimum, g);
+}
+
+inline bool
+Polyhedron::minimize(const Linear_Expression& expr,
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const {
+ return max_min(expr, false, inf_n, inf_d, minimum, g);
+}
+
+inline Constraint_System
+Polyhedron::simplified_constraints() const {
+ PPL_ASSERT(constraints_are_up_to_date());
+ Constraint_System cs(con_sys);
+ if (cs.num_pending_rows() > 0)
+ cs.unset_pending_rows();
+ if (has_pending_constraints() || !constraints_are_minimized())
+ cs.simplify();
+ return cs;
+}
+
+inline Congruence_System
+Polyhedron::congruences() const {
+ return Congruence_System(minimized_constraints());
+}
+
+inline Congruence_System
+Polyhedron::minimized_congruences() const {
+ return Congruence_System(minimized_constraints());
+}
+
+inline void
+Polyhedron::add_recycled_congruences(Congruence_System& cgs) {
+ add_congruences(cgs);
+}
+
+template <typename FP_Format, typename Interval_Info>
+inline void
+Polyhedron::generalized_refine_with_linear_form_inequality(
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
+ const Relation_Symbol relsym) {
+ switch (relsym) {
+ case EQUAL:
+ // TODO: see if we can handle this case more efficiently.
+ refine_with_linear_form_inequality(left, right, false);
+ refine_with_linear_form_inequality(right, left, false);
+ break;
+ case LESS_THAN:
+ refine_with_linear_form_inequality(left, right, true);
+ break;
+ case LESS_OR_EQUAL:
+ refine_with_linear_form_inequality(left, right, false);
+ break;
+ case GREATER_THAN:
+ refine_with_linear_form_inequality(right, left, true);
+ break;
+ case GREATER_OR_EQUAL:
+ refine_with_linear_form_inequality(right, left, false);
+ break;
+ case NOT_EQUAL:
+ break;
+ default:
+ PPL_UNREACHABLE;
+ break;
+ }
+}
+
+template <typename FP_Format, typename Interval_Info>
+inline void
+Polyhedron::
+refine_fp_interval_abstract_store(
+ Box< Interval<FP_Format, Interval_Info> >& store) const {
+
+ // Check that FP_Format is indeed a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
+ "Polyhedron::refine_fp_interval_abstract_store:"
+ " T not a floating point type.");
+
+ typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
+ store.intersection_assign(Box<FP_Interval_Type>(*this));
+
+}
+
+/*! \relates Polyhedron */
+inline bool
+operator!=(const Polyhedron& x, const Polyhedron& y) {
+ return !(x == y);
+}
+
+inline bool
+Polyhedron::strictly_contains(const Polyhedron& y) const {
+ const Polyhedron& x = *this;
+ return x.contains(y) && !y.contains(x);
+}
+
+inline void
+Polyhedron::drop_some_non_integer_points(Complexity_Class complexity) {
+ const Variables_Set* const p_vs = 0;
+ drop_some_non_integer_points(p_vs, complexity);
+}
+
+inline void
+Polyhedron::drop_some_non_integer_points(const Variables_Set& vars,
+ Complexity_Class complexity) {
+ drop_some_non_integer_points(&vars, complexity);
+}
+
+
+namespace Interfaces {
+
+inline bool
+is_necessarily_closed_for_interfaces(const Polyhedron& ph) {
+ return ph.is_necessarily_closed();
+}
+
+} // namespace Interfaces
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_inlines_hh)
diff --git a/src/Polyhedron_minimize.templates.hh b/src/Polyhedron_minimize.templates.hh
deleted file mode 100644
index 0516bee..0000000
--- a/src/Polyhedron_minimize.templates.hh
+++ /dev/null
@@ -1,435 +0,0 @@
-/* Polyhedron class implementation: minimize() and add_and_minimize().
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_minimize_templates_hh
-#define PPL_Polyhedron_minimize_templates_hh 1
-
-#include "Bit_Matrix.defs.hh"
-#include "Polyhedron.defs.hh"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-/*!
- \return
- <CODE>true</CODE> if the polyhedron is empty, <CODE>false</CODE>
- otherwise.
-
- \param con_to_gen
- <CODE>true</CODE> if \p source represents the constraints,
- <CODE>false</CODE> otherwise;
-
- \param source
- The given system, which is not empty;
-
- \param dest
- The system to build and minimize;
-
- \param sat
- The saturation matrix.
-
- \p dest is not <CODE>const</CODE> because it will be built (and then
- modified) during minimize(). Also, \p sat and \p source are
- not <CODE>const</CODE> because the former will be built during
- \p dest creation and the latter will maybe be sorted and modified by
- <CODE>conversion()</CODE> and <CODE>simplify()</CODE>.
-
- \p sat has the generators on its columns and the constraints on its rows
- if \p con_to_gen is <CODE>true</CODE>, otherwise it has the generators on
- its rows and the constraints on its columns.
-
- Given \p source, this function builds (by means of
- <CODE>conversion()</CODE>) \p dest and then simplifies (invoking
- <CODE>simplify()</CODE>) \p source, erasing redundant rows.
- For the sequel we assume that \p source is the system of constraints
- and \p dest is the system of generators.
- This will simplify the description of the function; the dual case is
- similar.
-*/
-template <typename Source_Linear_System, typename Dest_Linear_System>
-bool
-Polyhedron::minimize(const bool con_to_gen,
- Source_Linear_System& source,
- Dest_Linear_System& dest,
- Bit_Matrix& sat) {
-
- typedef typename Dest_Linear_System::row_type dest_row_type;
-
- // Topologies have to agree.
- PPL_ASSERT(source.topology() == dest.topology());
- // `source' cannot be empty: even if it is an empty constraint system,
- // representing the universe polyhedron, homogenization has added
- // the positive constraint. It also cannot be an empty generator system,
- // since this function is always called starting from a non-empty
- // polyhedron.
- PPL_ASSERT(!source.has_no_rows());
-
- // Sort the source system, if necessary.
- if (!source.is_sorted())
- source.sort_rows();
-
- // Initialization of the system of generators `dest'.
- // The algorithm works incrementally and we haven't seen any
- // constraint yet: as a consequence, `dest' should describe
- // the universe polyhedron of the appropriate dimension.
- // To this end, we initialize it to the identity matrix of dimension
- // `source.num_columns()': the rows represent the lines corresponding
- // to the canonical basis of the vector space.
- dimension_type dest_num_rows
- = source.topology() == NECESSARILY_CLOSED ? source.space_dimension() + 1
- : source.space_dimension() + 2;
-
- dest.clear();
- dest.set_space_dimension(source.space_dimension());
-
- // Initialize `dest' to the identity matrix.
- for (dimension_type i = 0; i < dest_num_rows; ++i) {
- Linear_Expression expr;
- expr.set_space_dimension(dest_num_rows - 1);
- if (i == 0)
- expr += 1;
- else
- expr += Variable(i - 1);
- dest_row_type dest_i(expr, dest_row_type::LINE_OR_EQUALITY, NECESSARILY_CLOSED);
- if (dest.topology() == NOT_NECESSARILY_CLOSED)
- dest_i.mark_as_not_necessarily_closed();
- dest.sys.insert_no_ok(dest_i, Recycle_Input());
- }
- // The identity matrix `dest' is not sorted (see the sorting rules
- // in Constrant.cc and Generator.cc).
- dest.set_sorted(false);
-
- // NOTE: the system `dest', as it is now, is not a _legal_ system of
- // generators, because in the first row we have a line with a
- // non-zero divisor (which should only happen for
- // points). However, this is NOT a problem, because `source'
- // necessarily contains the positivity constraint (or a
- // combination of it with another constraint) which will
- // restore things as they should be.
-
-
- // Building a saturation matrix and initializing it by setting
- // all of its elements to zero. This matrix will be modified together
- // with `dest' during the conversion.
- // NOTE: since we haven't seen any constraint yet, the relevant
- // portion of `tmp_sat' is the sub-matrix consisting of
- // the first 0 columns: thus the relevant portion correctly
- // characterizes the initial saturation information.
- Bit_Matrix tmp_sat(dest_num_rows, source.num_rows());
-
- // By invoking the function conversion(), we populate `dest' with
- // the generators characterizing the polyhedron described by all
- // the constraints in `source'.
- // The `start' parameter is zero (we haven't seen any constraint yet)
- // and the 5th parameter (representing the number of lines in `dest'),
- // by construction, is equal to `dest_num_rows'.
- const dimension_type num_lines_or_equalities
- = conversion(source, 0, dest, tmp_sat, dest_num_rows);
- // conversion() may have modified the number of rows in `dest'.
- dest_num_rows = dest.num_rows();
-
-#ifndef NDEBUG
- for (dimension_type i = dest.num_rows(); i-- > 0; )
- PPL_ASSERT(dest[i].OK());
-#endif
-
- // Checking if the generators in `dest' represent an empty polyhedron:
- // the polyhedron is empty if there are no points
- // (because rays, lines and closure points need a supporting point).
- // Points can be detected by looking at:
- // - the divisor, for necessarily closed polyhedra;
- // - the epsilon coordinate, for NNC polyhedra.
- dimension_type first_point;
- if (dest.is_necessarily_closed()) {
- for (first_point = num_lines_or_equalities;
- first_point < dest_num_rows;
- ++first_point)
- if (dest[first_point].expr.inhomogeneous_term() > 0)
- break;
- } else {
- for (first_point = num_lines_or_equalities;
- first_point < dest_num_rows;
- ++first_point)
- if (dest[first_point].expr.get(Variable(dest.space_dimension())) > 0)
- break;
- }
-
- if (first_point == dest_num_rows)
- if (con_to_gen)
- // No point has been found: the polyhedron is empty.
- return true;
- else {
- // Here `con_to_gen' is false: `dest' is a system of constraints.
- // In this case the condition `first_point == dest_num_rows'
- // actually means that all the constraints in `dest' have their
- // inhomogeneous term equal to 0.
- // This is an ILLEGAL situation, because it implies that
- // the constraint system `dest' lacks the positivity constraint
- // and no linear combination of the constraints in `dest'
- // can reintroduce the positivity constraint.
- PPL_UNREACHABLE;
- return false;
- }
- else {
- // A point has been found: the polyhedron is not empty.
- // Now invoking simplify() to remove all the redundant constraints
- // from the system `source'.
- // Since the saturation matrix `tmp_sat' returned by conversion()
- // has rows indexed by generators (the rows of `dest') and columns
- // indexed by constraints (the rows of `source'), we have to
- // transpose it to obtain the saturation matrix needed by simplify().
- sat.transpose_assign(tmp_sat);
- simplify(source, sat);
- return false;
- }
-}
-
-
-/*!
- \return
- <CODE>true</CODE> if the obtained polyhedron is empty,
- <CODE>false</CODE> otherwise.
-
- \param con_to_gen
- <CODE>true</CODE> if \p source1 and \p source2 are system of
- constraints, <CODE>false</CODE> otherwise;
-
- \param source1
- The first element of the given DD pair;
-
- \param dest
- The second element of the given DD pair;
-
- \param sat
- The saturation matrix that bind \p source1 to \p dest;
-
- \param source2
- The new system of generators or constraints.
-
- It is assumed that \p source1 and \p source2 are sorted and have
- no pending rows. It is also assumed that \p dest has no pending rows.
- On entry, the rows of \p sat are indexed by the rows of \p dest
- and its columns are indexed by the rows of \p source1.
- On exit, the rows of \p sat are indexed by the rows of \p dest
- and its columns are indexed by the rows of the system obtained
- by merging \p source1 and \p source2.
-
- Let us suppose we want to add some constraints to a given system of
- constraints \p source1. This method, given a minimized double description
- pair (\p source1, \p dest) and a system of new constraints \p source2,
- modifies \p source1 by adding to it the constraints of \p source2 that
- are not in \p source1. Then, by invoking
- <CODE>add_and_minimize(bool, Linear_System_Class&, Linear_System_Class&, Bit_Matrix&)</CODE>,
- processes the added constraints obtaining a new DD pair.
-
- This method treats also the dual case, i.e., adding new generators to
- a previous system of generators. In this case \p source1 contains the
- old generators, \p source2 the new ones and \p dest is the system
- of constraints in the given minimized DD pair.
-
- Since \p source2 contains the constraints (or the generators) that
- will be added to \p source1, it is constant: it will not be modified.
-*/
-template <typename Source_Linear_System1, typename Source_Linear_System2,
- typename Dest_Linear_System>
-bool
-Polyhedron::add_and_minimize(const bool con_to_gen,
- Source_Linear_System1& source1,
- Dest_Linear_System& dest,
- Bit_Matrix& sat,
- const Source_Linear_System2& source2) {
- // `source1' and `source2' cannot be empty.
- PPL_ASSERT(!source1.has_no_rows() && !source2.has_no_rows());
- // `source1' and `source2' must have the same number of columns
- // to be merged.
- PPL_ASSERT(source1.num_columns() == source2.num_columns());
- // `source1' and `source2' are fully sorted.
- PPL_ASSERT(source1.is_sorted() && source1.num_pending_rows() == 0);
- PPL_ASSERT(source2.is_sorted() && source2.num_pending_rows() == 0);
- PPL_ASSERT(dest.num_pending_rows() == 0);
-
- const dimension_type old_source1_num_rows = source1.num_rows();
- // `k1' and `k2' run through the rows of `source1' and `source2', resp.
- dimension_type k1 = 0;
- dimension_type k2 = 0;
- dimension_type source2_num_rows = source2.num_rows();
- while (k1 < old_source1_num_rows && k2 < source2_num_rows) {
- // Add to `source1' the constraints from `source2', as pending rows.
- // We exploit the property that initially both `source1' and `source2'
- // are sorted and index `k1' only scans the non-pending rows of `source1',
- // so that it is not influenced by the pending rows appended to it.
- // This way no duplicate (i.e., trivially redundant) constraint
- // is introduced in `source1'.
- const int cmp = compare(source1[k1], source2[k2]);
- if (cmp == 0) {
- // We found the same row: there is no need to add `source2[k2]'.
- ++k2;
- // By sortedness, since `k1 < old_source1_num_rows',
- // we can increment index `k1' too.
- ++k1;
- }
- else if (cmp < 0)
- // By sortedness, we can increment `k1'.
- ++k1;
- else {
- // Here `cmp > 0'.
- // By sortedness, `source2[k2]' cannot be in `source1'.
- // We add it as a pending row of `source1' (sortedness unaffected).
- source1.add_pending_row(source2[k2]);
- // We can increment `k2'.
- ++k2;
- }
- }
- // Have we scanned all the rows in `source2'?
- if (k2 < source2_num_rows)
- // By sortedness, all the rows in `source2' having indexes
- // greater than or equal to `k2' were not in `source1'.
- // We add them as pending rows of 'source1' (sortedness not affected).
- for ( ; k2 < source2_num_rows; ++k2)
- source1.add_pending_row(source2[k2]);
-
- if (source1.num_pending_rows() == 0)
- // No row was appended to `source1', because all the constraints
- // in `source2' were already in `source1'.
- // There is nothing left to do ...
- return false;
-
- return add_and_minimize(con_to_gen, source1, dest, sat);
-}
-
-/*!
- \return
- <CODE>true</CODE> if the obtained polyhedron is empty,
- <CODE>false</CODE> otherwise.
-
- \param con_to_gen
- <CODE>true</CODE> if \p source is a system of constraints,
- <CODE>false</CODE> otherwise;
-
- \param source
- The first element of the given DD pair. It also contains the pending
- rows to be processed;
-
- \param dest
- The second element of the given DD pair. It cannot have pending rows;
-
- \param sat
- The saturation matrix that bind the upper part of \p source to \p dest.
-
- On entry, the rows of \p sat are indexed by the rows of \p dest
- and its columns are indexed by the non-pending rows of \p source.
- On exit, the rows of \p sat are indexed by the rows of \p dest
- and its columns are indexed by the rows of \p source.
-
- Let us suppose that \p source is a system of constraints.
- This method assumes that the non-pending part of \p source and
- system \p dest form a double description pair in minimal form and
- will build a new DD pair in minimal form by processing the pending
- constraints in \p source. To this end, it will call
- <CODE>conversion()</CODE>) and <CODE>simplify</CODE>.
-
- This method treats also the dual case, i.e., processing pending
- generators. In this case \p source contains generators and \p dest
- is the system of constraints corresponding to the non-pending part
- of \p source.
-*/
-template <typename Source_Linear_System, typename Dest_Linear_System>
-bool
-Polyhedron::add_and_minimize(const bool con_to_gen,
- Source_Linear_System& source,
- Dest_Linear_System& dest,
- Bit_Matrix& sat) {
- PPL_ASSERT(source.num_pending_rows() > 0);
- PPL_ASSERT(source.space_dimension() == dest.space_dimension());
- PPL_ASSERT(source.is_sorted());
-
- // First, pad the saturation matrix with new columns (of zeroes)
- // to accommodate for the pending rows of `source'.
- sat.resize(dest.num_rows(), source.num_rows());
-
- // Incrementally compute the new system of generators.
- // Parameter `start' is set to the index of the first pending constraint.
- const dimension_type num_lines_or_equalities
- = conversion(source, source.first_pending_row(),
- dest, sat,
- dest.num_lines_or_equalities());
-
- // conversion() may have modified the number of rows in `dest'.
- const dimension_type dest_num_rows = dest.num_rows();
-
- // Checking if the generators in `dest' represent an empty polyhedron:
- // the polyhedron is empty if there are no points
- // (because rays, lines and closure points need a supporting point).
- // Points can be detected by looking at:
- // - the divisor, for necessarily closed polyhedra;
- // - the epsilon coordinate, for NNC polyhedra.
- dimension_type first_point;
- if (dest.is_necessarily_closed()) {
- for (first_point = num_lines_or_equalities;
- first_point < dest_num_rows;
- ++first_point)
- if (dest[first_point].expr.inhomogeneous_term() > 0)
- break;
- } else {
- for (first_point = num_lines_or_equalities;
- first_point < dest_num_rows;
- ++first_point)
- if (dest[first_point].expr.get(Variable(dest.space_dimension())) > 0)
- break;
- }
-
- if (first_point == dest_num_rows)
- if (con_to_gen)
- // No point has been found: the polyhedron is empty.
- return true;
- else {
- // Here `con_to_gen' is false: `dest' is a system of constraints.
- // In this case the condition `first_point == dest_num_rows'
- // actually means that all the constraints in `dest' have their
- // inhomogeneous term equal to 0.
- // This is an ILLEGAL situation, because it implies that
- // the constraint system `dest' lacks the positivity constraint
- // and no linear combination of the constraints in `dest'
- // can reintroduce the positivity constraint.
- PPL_UNREACHABLE;
- return false;
- }
- else {
- // A point has been found: the polyhedron is not empty.
- // Now invoking `simplify()' to remove all the redundant constraints
- // from the system `source'.
- // Since the saturation matrix `sat' returned by `conversion()'
- // has rows indexed by generators (the rows of `dest') and columns
- // indexed by constraints (the rows of `source'), we have to
- // transpose it to obtain the saturation matrix needed by `simplify()'.
- sat.transpose();
- simplify(source, sat);
- // Transposing back.
- sat.transpose();
- return false;
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_minimize_templates_hh)
diff --git a/src/Polyhedron_minimize_templates.hh b/src/Polyhedron_minimize_templates.hh
new file mode 100644
index 0000000..7a268f8
--- /dev/null
+++ b/src/Polyhedron_minimize_templates.hh
@@ -0,0 +1,437 @@
+/* Polyhedron class implementation: minimize() and add_and_minimize().
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_minimize_templates_hh
+#define PPL_Polyhedron_minimize_templates_hh 1
+
+#include "Bit_Matrix_defs.hh"
+#include "Polyhedron_defs.hh"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+/*!
+ \return
+ <CODE>true</CODE> if the polyhedron is empty, <CODE>false</CODE>
+ otherwise.
+
+ \param con_to_gen
+ <CODE>true</CODE> if \p source represents the constraints,
+ <CODE>false</CODE> otherwise;
+
+ \param source
+ The given system, which is not empty;
+
+ \param dest
+ The system to build and minimize;
+
+ \param sat
+ The saturation matrix.
+
+ \p dest is not <CODE>const</CODE> because it will be built (and then
+ modified) during minimize(). Also, \p sat and \p source are
+ not <CODE>const</CODE> because the former will be built during
+ \p dest creation and the latter will maybe be sorted and modified by
+ <CODE>conversion()</CODE> and <CODE>simplify()</CODE>.
+
+ \p sat has the generators on its columns and the constraints on its rows
+ if \p con_to_gen is <CODE>true</CODE>, otherwise it has the generators on
+ its rows and the constraints on its columns.
+
+ Given \p source, this function builds (by means of
+ <CODE>conversion()</CODE>) \p dest and then simplifies (invoking
+ <CODE>simplify()</CODE>) \p source, erasing redundant rows.
+ For the sequel we assume that \p source is the system of constraints
+ and \p dest is the system of generators.
+ This will simplify the description of the function; the dual case is
+ similar.
+*/
+template <typename Source_Linear_System, typename Dest_Linear_System>
+bool
+Polyhedron::minimize(const bool con_to_gen,
+ Source_Linear_System& source,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat) {
+
+ typedef typename Dest_Linear_System::row_type dest_row_type;
+
+ // Topologies have to agree.
+ PPL_ASSERT(source.topology() == dest.topology());
+ // `source' cannot be empty: even if it is an empty constraint system,
+ // representing the universe polyhedron, homogenization has added
+ // the positive constraint. It also cannot be an empty generator system,
+ // since this function is always called starting from a non-empty
+ // polyhedron.
+ PPL_ASSERT(!source.has_no_rows());
+
+ // Sort the source system, if necessary.
+ if (!source.is_sorted())
+ source.sort_rows();
+
+ // Initialization of the system of generators `dest'.
+ // The algorithm works incrementally and we haven't seen any
+ // constraint yet: as a consequence, `dest' should describe
+ // the universe polyhedron of the appropriate dimension.
+ // To this end, we initialize it to the identity matrix of dimension
+ // `source.num_columns()': the rows represent the lines corresponding
+ // to the canonical basis of the vector space.
+ dimension_type dest_num_rows
+ = source.topology() == NECESSARILY_CLOSED ? source.space_dimension() + 1
+ : source.space_dimension() + 2;
+
+ dest.clear();
+ dest.set_space_dimension(source.space_dimension());
+
+ // Initialize `dest' to the identity matrix.
+ for (dimension_type i = 0; i < dest_num_rows; ++i) {
+ Linear_Expression expr;
+ expr.set_space_dimension(dest_num_rows - 1);
+ if (i == 0)
+ expr += 1;
+ else
+ expr += Variable(i - 1);
+ dest_row_type dest_i(expr, dest_row_type::LINE_OR_EQUALITY, NECESSARILY_CLOSED);
+ if (dest.topology() == NOT_NECESSARILY_CLOSED)
+ dest_i.mark_as_not_necessarily_closed();
+ dest.sys.insert_no_ok(dest_i, Recycle_Input());
+ }
+ // The identity matrix `dest' is not sorted (see the sorting rules
+ // in Constrant.cc and Generator.cc).
+ dest.set_sorted(false);
+
+ // NOTE: the system `dest', as it is now, is not a _legal_ system of
+ // generators, because in the first row we have a line with a
+ // non-zero divisor (which should only happen for
+ // points). However, this is NOT a problem, because `source'
+ // necessarily contains the positivity constraint (or a
+ // combination of it with another constraint) which will
+ // restore things as they should be.
+
+
+ // Building a saturation matrix and initializing it by setting
+ // all of its elements to zero. This matrix will be modified together
+ // with `dest' during the conversion.
+ // NOTE: since we haven't seen any constraint yet, the relevant
+ // portion of `tmp_sat' is the sub-matrix consisting of
+ // the first 0 columns: thus the relevant portion correctly
+ // characterizes the initial saturation information.
+ Bit_Matrix tmp_sat(dest_num_rows, source.num_rows());
+
+ // By invoking the function conversion(), we populate `dest' with
+ // the generators characterizing the polyhedron described by all
+ // the constraints in `source'.
+ // The `start' parameter is zero (we haven't seen any constraint yet)
+ // and the 5th parameter (representing the number of lines in `dest'),
+ // by construction, is equal to `dest_num_rows'.
+ const dimension_type num_lines_or_equalities
+ = conversion(source, 0U, dest, tmp_sat, dest_num_rows);
+ // conversion() may have modified the number of rows in `dest'.
+ dest_num_rows = dest.num_rows();
+
+#ifndef NDEBUG
+ for (dimension_type i = dest.num_rows(); i-- > 0; )
+ PPL_ASSERT(dest[i].OK());
+#endif
+
+ // Checking if the generators in `dest' represent an empty polyhedron:
+ // the polyhedron is empty if there are no points
+ // (because rays, lines and closure points need a supporting point).
+ // Points can be detected by looking at:
+ // - the divisor, for necessarily closed polyhedra;
+ // - the epsilon coordinate, for NNC polyhedra.
+ dimension_type first_point;
+ if (dest.is_necessarily_closed()) {
+ for (first_point = num_lines_or_equalities;
+ first_point < dest_num_rows;
+ ++first_point)
+ if (dest[first_point].expr.inhomogeneous_term() > 0)
+ break;
+ }
+ else {
+ for (first_point = num_lines_or_equalities;
+ first_point < dest_num_rows;
+ ++first_point)
+ if (dest[first_point].expr.get(Variable(dest.space_dimension())) > 0)
+ break;
+ }
+
+ if (first_point == dest_num_rows)
+ if (con_to_gen)
+ // No point has been found: the polyhedron is empty.
+ return true;
+ else {
+ // Here `con_to_gen' is false: `dest' is a system of constraints.
+ // In this case the condition `first_point == dest_num_rows'
+ // actually means that all the constraints in `dest' have their
+ // inhomogeneous term equal to 0.
+ // This is an ILLEGAL situation, because it implies that
+ // the constraint system `dest' lacks the positivity constraint
+ // and no linear combination of the constraints in `dest'
+ // can reintroduce the positivity constraint.
+ PPL_UNREACHABLE;
+ return false;
+ }
+ else {
+ // A point has been found: the polyhedron is not empty.
+ // Now invoking simplify() to remove all the redundant constraints
+ // from the system `source'.
+ // Since the saturation matrix `tmp_sat' returned by conversion()
+ // has rows indexed by generators (the rows of `dest') and columns
+ // indexed by constraints (the rows of `source'), we have to
+ // transpose it to obtain the saturation matrix needed by simplify().
+ sat.transpose_assign(tmp_sat);
+ simplify(source, sat);
+ return false;
+ }
+}
+
+
+/*!
+ \return
+ <CODE>true</CODE> if the obtained polyhedron is empty,
+ <CODE>false</CODE> otherwise.
+
+ \param con_to_gen
+ <CODE>true</CODE> if \p source1 and \p source2 are system of
+ constraints, <CODE>false</CODE> otherwise;
+
+ \param source1
+ The first element of the given DD pair;
+
+ \param dest
+ The second element of the given DD pair;
+
+ \param sat
+ The saturation matrix that bind \p source1 to \p dest;
+
+ \param source2
+ The new system of generators or constraints.
+
+ It is assumed that \p source1 and \p source2 are sorted and have
+ no pending rows. It is also assumed that \p dest has no pending rows.
+ On entry, the rows of \p sat are indexed by the rows of \p dest
+ and its columns are indexed by the rows of \p source1.
+ On exit, the rows of \p sat are indexed by the rows of \p dest
+ and its columns are indexed by the rows of the system obtained
+ by merging \p source1 and \p source2.
+
+ Let us suppose we want to add some constraints to a given system of
+ constraints \p source1. This method, given a minimized double description
+ pair (\p source1, \p dest) and a system of new constraints \p source2,
+ modifies \p source1 by adding to it the constraints of \p source2 that
+ are not in \p source1. Then, by invoking
+ <CODE>add_and_minimize(bool, Linear_System_Class&, Linear_System_Class&, Bit_Matrix&)</CODE>,
+ processes the added constraints obtaining a new DD pair.
+
+ This method treats also the dual case, i.e., adding new generators to
+ a previous system of generators. In this case \p source1 contains the
+ old generators, \p source2 the new ones and \p dest is the system
+ of constraints in the given minimized DD pair.
+
+ Since \p source2 contains the constraints (or the generators) that
+ will be added to \p source1, it is constant: it will not be modified.
+*/
+template <typename Source_Linear_System1, typename Source_Linear_System2,
+ typename Dest_Linear_System>
+bool
+Polyhedron::add_and_minimize(const bool con_to_gen,
+ Source_Linear_System1& source1,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat,
+ const Source_Linear_System2& source2) {
+ // `source1' and `source2' cannot be empty.
+ PPL_ASSERT(!source1.has_no_rows() && !source2.has_no_rows());
+ // `source1' and `source2' must have the same number of columns
+ // to be merged.
+ PPL_ASSERT(source1.num_columns() == source2.num_columns());
+ // `source1' and `source2' are fully sorted.
+ PPL_ASSERT(source1.is_sorted() && source1.num_pending_rows() == 0);
+ PPL_ASSERT(source2.is_sorted() && source2.num_pending_rows() == 0);
+ PPL_ASSERT(dest.num_pending_rows() == 0);
+
+ const dimension_type old_source1_num_rows = source1.num_rows();
+ // `k1' and `k2' run through the rows of `source1' and `source2', resp.
+ dimension_type k1 = 0;
+ dimension_type k2 = 0;
+ dimension_type source2_num_rows = source2.num_rows();
+ while (k1 < old_source1_num_rows && k2 < source2_num_rows) {
+ // Add to `source1' the constraints from `source2', as pending rows.
+ // We exploit the property that initially both `source1' and `source2'
+ // are sorted and index `k1' only scans the non-pending rows of `source1',
+ // so that it is not influenced by the pending rows appended to it.
+ // This way no duplicate (i.e., trivially redundant) constraint
+ // is introduced in `source1'.
+ const int cmp = compare(source1[k1], source2[k2]);
+ if (cmp == 0) {
+ // We found the same row: there is no need to add `source2[k2]'.
+ ++k2;
+ // By sortedness, since `k1 < old_source1_num_rows',
+ // we can increment index `k1' too.
+ ++k1;
+ }
+ else if (cmp < 0)
+ // By sortedness, we can increment `k1'.
+ ++k1;
+ else {
+ // Here `cmp > 0'.
+ // By sortedness, `source2[k2]' cannot be in `source1'.
+ // We add it as a pending row of `source1' (sortedness unaffected).
+ source1.add_pending_row(source2[k2]);
+ // We can increment `k2'.
+ ++k2;
+ }
+ }
+ // Have we scanned all the rows in `source2'?
+ if (k2 < source2_num_rows)
+ // By sortedness, all the rows in `source2' having indexes
+ // greater than or equal to `k2' were not in `source1'.
+ // We add them as pending rows of 'source1' (sortedness not affected).
+ for ( ; k2 < source2_num_rows; ++k2)
+ source1.add_pending_row(source2[k2]);
+
+ if (source1.num_pending_rows() == 0)
+ // No row was appended to `source1', because all the constraints
+ // in `source2' were already in `source1'.
+ // There is nothing left to do ...
+ return false;
+
+ return add_and_minimize(con_to_gen, source1, dest, sat);
+}
+
+/*!
+ \return
+ <CODE>true</CODE> if the obtained polyhedron is empty,
+ <CODE>false</CODE> otherwise.
+
+ \param con_to_gen
+ <CODE>true</CODE> if \p source is a system of constraints,
+ <CODE>false</CODE> otherwise;
+
+ \param source
+ The first element of the given DD pair. It also contains the pending
+ rows to be processed;
+
+ \param dest
+ The second element of the given DD pair. It cannot have pending rows;
+
+ \param sat
+ The saturation matrix that bind the upper part of \p source to \p dest.
+
+ On entry, the rows of \p sat are indexed by the rows of \p dest
+ and its columns are indexed by the non-pending rows of \p source.
+ On exit, the rows of \p sat are indexed by the rows of \p dest
+ and its columns are indexed by the rows of \p source.
+
+ Let us suppose that \p source is a system of constraints.
+ This method assumes that the non-pending part of \p source and
+ system \p dest form a double description pair in minimal form and
+ will build a new DD pair in minimal form by processing the pending
+ constraints in \p source. To this end, it will call
+ <CODE>conversion()</CODE>) and <CODE>simplify</CODE>.
+
+ This method treats also the dual case, i.e., processing pending
+ generators. In this case \p source contains generators and \p dest
+ is the system of constraints corresponding to the non-pending part
+ of \p source.
+*/
+template <typename Source_Linear_System, typename Dest_Linear_System>
+bool
+Polyhedron::add_and_minimize(const bool con_to_gen,
+ Source_Linear_System& source,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat) {
+ PPL_ASSERT(source.num_pending_rows() > 0);
+ PPL_ASSERT(source.space_dimension() == dest.space_dimension());
+ PPL_ASSERT(source.is_sorted());
+
+ // First, pad the saturation matrix with new columns (of zeroes)
+ // to accommodate for the pending rows of `source'.
+ sat.resize(dest.num_rows(), source.num_rows());
+
+ // Incrementally compute the new system of generators.
+ // Parameter `start' is set to the index of the first pending constraint.
+ const dimension_type num_lines_or_equalities
+ = conversion(source, source.first_pending_row(),
+ dest, sat,
+ dest.num_lines_or_equalities());
+
+ // conversion() may have modified the number of rows in `dest'.
+ const dimension_type dest_num_rows = dest.num_rows();
+
+ // Checking if the generators in `dest' represent an empty polyhedron:
+ // the polyhedron is empty if there are no points
+ // (because rays, lines and closure points need a supporting point).
+ // Points can be detected by looking at:
+ // - the divisor, for necessarily closed polyhedra;
+ // - the epsilon coordinate, for NNC polyhedra.
+ dimension_type first_point;
+ if (dest.is_necessarily_closed()) {
+ for (first_point = num_lines_or_equalities;
+ first_point < dest_num_rows;
+ ++first_point)
+ if (dest[first_point].expr.inhomogeneous_term() > 0)
+ break;
+ }
+ else {
+ for (first_point = num_lines_or_equalities;
+ first_point < dest_num_rows;
+ ++first_point)
+ if (dest[first_point].expr.get(Variable(dest.space_dimension())) > 0)
+ break;
+ }
+
+ if (first_point == dest_num_rows)
+ if (con_to_gen)
+ // No point has been found: the polyhedron is empty.
+ return true;
+ else {
+ // Here `con_to_gen' is false: `dest' is a system of constraints.
+ // In this case the condition `first_point == dest_num_rows'
+ // actually means that all the constraints in `dest' have their
+ // inhomogeneous term equal to 0.
+ // This is an ILLEGAL situation, because it implies that
+ // the constraint system `dest' lacks the positivity constraint
+ // and no linear combination of the constraints in `dest'
+ // can reintroduce the positivity constraint.
+ PPL_UNREACHABLE;
+ return false;
+ }
+ else {
+ // A point has been found: the polyhedron is not empty.
+ // Now invoking `simplify()' to remove all the redundant constraints
+ // from the system `source'.
+ // Since the saturation matrix `sat' returned by `conversion()'
+ // has rows indexed by generators (the rows of `dest') and columns
+ // indexed by constraints (the rows of `source'), we have to
+ // transpose it to obtain the saturation matrix needed by `simplify()'.
+ sat.transpose();
+ simplify(source, sat);
+ // Transposing back.
+ sat.transpose();
+ return false;
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_minimize_templates_hh)
diff --git a/src/Polyhedron_nonpublic.cc b/src/Polyhedron_nonpublic.cc
index 4c40169..8409164 100644
--- a/src/Polyhedron_nonpublic.cc
+++ b/src/Polyhedron_nonpublic.cc
@@ -1,7 +1,7 @@
/* Polyhedron class implementation
(non-inline private or protected functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,10 +23,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Polyhedron.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "Linear_Form.defs.hh"
+#include "Polyhedron_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "Linear_Form_defs.hh"
#include "C_Integer.hh"
#include "assert.hh"
#include <string>
@@ -50,8 +50,8 @@ site: http://bugseng.com/products/ppl/ . */
namespace PPL = Parma_Polyhedra_Library;
PPL::Polyhedron::Polyhedron(const Topology topol,
- const dimension_type num_dimensions,
- const Degenerate_Element kind)
+ const dimension_type num_dimensions,
+ const Degenerate_Element kind)
: con_sys(topol, default_con_sys_repr),
gen_sys(topol, default_gen_sys_repr),
sat_c(),
@@ -102,8 +102,8 @@ PPL::Polyhedron::Polyhedron(const Topology topol, const Constraint_System& cs)
const dimension_type cs_copy_space_dim = cs_copy.space_dimension();
if (!cs_copy.adjust_topology_and_space_dimension(topol, cs_copy_space_dim))
throw_topology_incompatible((topol == NECESSARILY_CLOSED)
- ? "C_Polyhedron(cs)"
- : "NNC_Polyhedron(cs)", "cs", cs_copy);
+ ? "C_Polyhedron(cs)"
+ : "NNC_Polyhedron(cs)", "cs", cs_copy);
// Set the space dimension.
space_dim = cs_copy_space_dim;
@@ -137,8 +137,8 @@ PPL::Polyhedron::Polyhedron(const Topology topol, const Constraint_System& cs)
}
PPL::Polyhedron::Polyhedron(const Topology topol,
- Constraint_System& cs,
- Recycle_Input)
+ Constraint_System& cs,
+ Recycle_Input)
: con_sys(topol, default_con_sys_repr),
gen_sys(topol, default_gen_sys_repr),
sat_c(),
@@ -150,8 +150,8 @@ PPL::Polyhedron::Polyhedron(const Topology topol,
const dimension_type cs_space_dim = cs.space_dimension();
if (!cs.adjust_topology_and_space_dimension(topol, cs_space_dim))
throw_topology_incompatible((topol == NECESSARILY_CLOSED)
- ? "C_Polyhedron(cs, recycle)"
- : "NNC_Polyhedron(cs, recycle)", "cs", cs);
+ ? "C_Polyhedron(cs, recycle)"
+ : "NNC_Polyhedron(cs, recycle)", "cs", cs);
// Set the space dimension.
space_dim = cs_space_dim;
@@ -203,8 +203,8 @@ PPL::Polyhedron::Polyhedron(const Topology topol, const Generator_System& gs)
// Non-empty valid generator systems have a supporting point, at least.
if (!gs.has_points())
throw_invalid_generators((topol == NECESSARILY_CLOSED)
- ? "C_Polyhedron(gs)"
- : "NNC_Polyhedron(gs)", "gs");
+ ? "C_Polyhedron(gs)"
+ : "NNC_Polyhedron(gs)", "gs");
// TODO: this implementation is just an executable specification.
Generator_System gs_copy = gs;
@@ -213,8 +213,8 @@ PPL::Polyhedron::Polyhedron(const Topology topol, const Generator_System& gs)
// Try to adapt `gs_copy' to the required topology.
if (!gs_copy.adjust_topology_and_space_dimension(topol, gs_copy_space_dim))
throw_topology_incompatible((topol == NECESSARILY_CLOSED)
- ? "C_Polyhedron(gs)"
- : "NNC_Polyhedron(gs)", "gs", gs_copy);
+ ? "C_Polyhedron(gs)"
+ : "NNC_Polyhedron(gs)", "gs", gs_copy);
if (gs_copy_space_dim > 0) {
// Stealing the rows from `gs_copy'.
@@ -249,8 +249,8 @@ PPL::Polyhedron::Polyhedron(const Topology topol, const Generator_System& gs)
}
PPL::Polyhedron::Polyhedron(const Topology topol,
- Generator_System& gs,
- Recycle_Input)
+ Generator_System& gs,
+ Recycle_Input)
: con_sys(topol, default_con_sys_repr),
gen_sys(topol, default_gen_sys_repr),
sat_c(),
@@ -269,15 +269,15 @@ PPL::Polyhedron::Polyhedron(const Topology topol,
// Non-empty valid generator systems have a supporting point, at least.
if (!gs.has_points())
throw_invalid_generators((topol == NECESSARILY_CLOSED)
- ? "C_Polyhedron(gs, recycle)"
- : "NNC_Polyhedron(gs, recycle)", "gs");
+ ? "C_Polyhedron(gs, recycle)"
+ : "NNC_Polyhedron(gs, recycle)", "gs");
const dimension_type gs_space_dim = gs.space_dimension();
// Try to adapt `gs' to the required topology.
if (!gs.adjust_topology_and_space_dimension(topol, gs_space_dim))
throw_topology_incompatible((topol == NECESSARILY_CLOSED)
- ? "C_Polyhedron(gs, recycle)"
- : "NNC_Polyhedron(gs, recycle)", "gs", gs);
+ ? "C_Polyhedron(gs, recycle)"
+ : "NNC_Polyhedron(gs, recycle)", "gs", gs);
if (gs_space_dim > 0) {
// Stealing the rows from `gs'.
@@ -346,48 +346,48 @@ PPL::Polyhedron::quick_equivalence_test(const Polyhedron& y) const {
if (!x.has_something_pending() && !y.has_something_pending()) {
bool css_normalized = false;
if (x.constraints_are_minimized() && y.constraints_are_minimized()) {
- // Equivalent minimized constraint systems have:
- // - the same number of constraints; ...
- if (x.con_sys.num_rows() != y.con_sys.num_rows())
- return Polyhedron::TVB_FALSE;
- // - the same number of equalities; ...
- dimension_type x_num_equalities = x.con_sys.num_equalities();
- if (x_num_equalities != y.con_sys.num_equalities())
- return Polyhedron::TVB_FALSE;
- // - if there are no equalities, they have the same constraints.
- // Delay this test: try cheaper tests on generators first.
- css_normalized = (x_num_equalities == 0);
+ // Equivalent minimized constraint systems have:
+ // - the same number of constraints; ...
+ if (x.con_sys.num_rows() != y.con_sys.num_rows())
+ return Polyhedron::TVB_FALSE;
+ // - the same number of equalities; ...
+ const dimension_type x_num_equalities = x.con_sys.num_equalities();
+ if (x_num_equalities != y.con_sys.num_equalities())
+ return Polyhedron::TVB_FALSE;
+ // - if there are no equalities, they have the same constraints.
+ // Delay this test: try cheaper tests on generators first.
+ css_normalized = (x_num_equalities == 0);
}
if (x.generators_are_minimized() && y.generators_are_minimized()) {
- // Equivalent minimized generator systems have:
- // - the same number of generators; ...
- if (x.gen_sys.num_rows() != y.gen_sys.num_rows())
- return Polyhedron::TVB_FALSE;
- // - the same number of lines; ...
- const dimension_type x_num_lines = x.gen_sys.num_lines();
- if (x_num_lines != y.gen_sys.num_lines())
- return Polyhedron::TVB_FALSE;
- // - if there are no lines, they have the same generators.
- if (x_num_lines == 0) {
- // Sort the two systems and check for syntactic identity.
- x.obtain_sorted_generators();
- y.obtain_sorted_generators();
- if (x.gen_sys == y.gen_sys)
- return Polyhedron::TVB_TRUE;
- else
- return Polyhedron::TVB_FALSE;
- }
+ // Equivalent minimized generator systems have:
+ // - the same number of generators; ...
+ if (x.gen_sys.num_rows() != y.gen_sys.num_rows())
+ return Polyhedron::TVB_FALSE;
+ // - the same number of lines; ...
+ const dimension_type x_num_lines = x.gen_sys.num_lines();
+ if (x_num_lines != y.gen_sys.num_lines())
+ return Polyhedron::TVB_FALSE;
+ // - if there are no lines, they have the same generators.
+ if (x_num_lines == 0) {
+ // Sort the two systems and check for syntactic identity.
+ x.obtain_sorted_generators();
+ y.obtain_sorted_generators();
+ if (x.gen_sys == y.gen_sys)
+ return Polyhedron::TVB_TRUE;
+ else
+ return Polyhedron::TVB_FALSE;
+ }
}
if (css_normalized) {
- // Sort the two systems and check for identity.
- x.obtain_sorted_constraints();
- y.obtain_sorted_constraints();
- if (x.con_sys == y.con_sys)
- return Polyhedron::TVB_TRUE;
- else
- return Polyhedron::TVB_FALSE;
+ // Sort the two systems and check for identity.
+ x.obtain_sorted_constraints();
+ y.obtain_sorted_constraints();
+ if (x.con_sys == y.con_sys)
+ return Polyhedron::TVB_TRUE;
+ else
+ return Polyhedron::TVB_FALSE;
}
}
}
@@ -438,24 +438,24 @@ PPL::Polyhedron::is_included_in(const Polyhedron& y) const {
for (dimension_type i = cs.num_rows(); i-- > 0; ) {
const Constraint& c = cs[i];
if (c.is_inequality()) {
- for (dimension_type j = gs.num_rows(); j-- > 0; ) {
- const Generator& g = gs[j];
- const int sp_sign = Scalar_Products::sign(c, g);
- if (g.is_line()) {
- if (sp_sign != 0)
- return false;
- }
- else
- // `g' is a ray or a point.
- if (sp_sign < 0)
- return false;
- }
+ for (dimension_type j = gs.num_rows(); j-- > 0; ) {
+ const Generator& g = gs[j];
+ const int sp_sign = Scalar_Products::sign(c, g);
+ if (g.is_line()) {
+ if (sp_sign != 0)
+ return false;
+ }
+ else
+ // `g' is a ray or a point.
+ if (sp_sign < 0)
+ return false;
+ }
}
else {
- // `c' is an equality.
- for (dimension_type j = gs.num_rows(); j-- > 0; )
- if (Scalar_Products::sign(c, gs[j]) != 0)
- return false;
+ // `c' is an equality.
+ for (dimension_type j = gs.num_rows(); j-- > 0; )
+ if (Scalar_Products::sign(c, gs[j]) != 0)
+ return false;
}
}
else {
@@ -465,51 +465,51 @@ PPL::Polyhedron::is_included_in(const Polyhedron& y) const {
const Constraint& c = cs[i];
switch (c.type()) {
case Constraint::NONSTRICT_INEQUALITY:
- for (dimension_type j = gs.num_rows(); j-- > 0; ) {
- const Generator& g = gs[j];
- const int sp_sign = Scalar_Products::reduced_sign(c, g);
- if (g.is_line()) {
- if (sp_sign != 0)
- return false;
- }
- else
- // `g' is a ray or a point or a closure point.
- if (sp_sign < 0)
- return false;
- }
- break;
+ for (dimension_type j = gs.num_rows(); j-- > 0; ) {
+ const Generator& g = gs[j];
+ const int sp_sign = Scalar_Products::reduced_sign(c, g);
+ if (g.is_line()) {
+ if (sp_sign != 0)
+ return false;
+ }
+ else
+ // `g' is a ray or a point or a closure point.
+ if (sp_sign < 0)
+ return false;
+ }
+ break;
case Constraint::EQUALITY:
- for (dimension_type j = gs.num_rows(); j-- > 0; )
- if (Scalar_Products::reduced_sign(c, gs[j]) != 0)
- return false;
- break;
+ for (dimension_type j = gs.num_rows(); j-- > 0; )
+ if (Scalar_Products::reduced_sign(c, gs[j]) != 0)
+ return false;
+ break;
case Constraint::STRICT_INEQUALITY:
- for (dimension_type j = gs.num_rows(); j-- > 0; ) {
- const Generator& g = gs[j];
- const int sp_sign = Scalar_Products::reduced_sign(c, g);
- switch (g.type()) {
- case Generator::POINT:
- // If a point violates or saturates a strict inequality
- // (when ignoring the epsilon coefficients) then it is
- // not included in the polyhedron.
- if (sp_sign <= 0)
- return false;
- break;
- case Generator::LINE:
- // Lines have to saturate all constraints.
- if (sp_sign != 0)
- return false;
- break;
- case Generator::RAY:
- // Intentionally fall through.
- case Generator::CLOSURE_POINT:
- // The generator is a ray or closure point: usual test.
- if (sp_sign < 0)
- return false;
- break;
- }
- }
- break;
+ for (dimension_type j = gs.num_rows(); j-- > 0; ) {
+ const Generator& g = gs[j];
+ const int sp_sign = Scalar_Products::reduced_sign(c, g);
+ switch (g.type()) {
+ case Generator::POINT:
+ // If a point violates or saturates a strict inequality
+ // (when ignoring the epsilon coefficients) then it is
+ // not included in the polyhedron.
+ if (sp_sign <= 0)
+ return false;
+ break;
+ case Generator::LINE:
+ // Lines have to saturate all constraints.
+ if (sp_sign != 0)
+ return false;
+ break;
+ case Generator::RAY:
+ // Intentionally fall through.
+ case Generator::CLOSURE_POINT:
+ // The generator is a ray or closure point: usual test.
+ if (sp_sign < 0)
+ return false;
+ break;
+ }
+ }
+ break;
}
}
}
@@ -520,14 +520,14 @@ PPL::Polyhedron::is_included_in(const Polyhedron& y) const {
bool
PPL::Polyhedron::bounds(const Linear_Expression& expr,
- const bool from_above) const {
+ const bool from_above) const {
// The dimension of `expr' should not be greater than the dimension
// of `*this'.
const dimension_type expr_space_dim = expr.space_dimension();
if (space_dim < expr_space_dim)
throw_dimension_incompatible((from_above
- ? "bounds_from_above(e)"
- : "bounds_from_below(e)"), "e", expr);
+ ? "bounds_from_above(e)"
+ : "bounds_from_below(e)"), "e", expr);
// A zero-dimensional or empty polyhedron bounds everything.
if (space_dim == 0
@@ -543,11 +543,11 @@ PPL::Polyhedron::bounds(const Linear_Expression& expr,
if (g.is_line_or_ray()) {
const int sp_sign = Scalar_Products::homogeneous_sign(expr, g);
if (sp_sign != 0
- && (g.is_line()
- || (from_above && sp_sign > 0)
- || (!from_above && sp_sign < 0)))
- // `*this' does not bound `expr'.
- return false;
+ && (g.is_line()
+ || (from_above && sp_sign > 0)
+ || (!from_above && sp_sign < 0)))
+ // `*this' does not bound `expr'.
+ return false;
}
}
// No sources of unboundedness have been found for `expr'
@@ -557,17 +557,17 @@ PPL::Polyhedron::bounds(const Linear_Expression& expr,
bool
PPL::Polyhedron::max_min(const Linear_Expression& expr,
- const bool maximize,
- Coefficient& ext_n, Coefficient& ext_d,
- bool& included,
- Generator& g) const {
+ const bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d,
+ bool& included,
+ Generator& g) const {
// The dimension of `expr' should not be greater than the dimension
// of `*this'.
const dimension_type expr_space_dim = expr.space_dimension();
if (space_dim < expr_space_dim)
throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
// Deal with zero-dim polyhedra first.
if (space_dim == 0) {
@@ -610,11 +610,11 @@ PPL::Polyhedron::max_min(const Linear_Expression& expr,
if (gen_sys_i.is_line_or_ray()) {
const int sp_sign = sgn(sp);
if (sp_sign != 0
- && (gen_sys_i.is_line()
- || (maximize && sp_sign > 0)
- || (!maximize && sp_sign < 0)))
- // `expr' is unbounded in `*this'.
- return false;
+ && (gen_sys_i.is_line()
+ || (maximize && sp_sign > 0)
+ || (!maximize && sp_sign < 0)))
+ // `expr' is unbounded in `*this'.
+ return false;
}
else {
// We have a point or a closure point.
@@ -627,21 +627,21 @@ PPL::Polyhedron::max_min(const Linear_Expression& expr,
candidate.canonicalize();
const bool g_is_point = gen_sys_i.is_point();
if (first_candidate
- || (maximize
- && (candidate > extremum
- || (g_is_point
- && !ext_included
- && candidate == extremum)))
- || (!maximize
- && (candidate < extremum
- || (g_is_point
- && !ext_included
- && candidate == extremum)))) {
- // We have a (new) candidate extremum.
- first_candidate = false;
- extremum = candidate;
- ext_position = i;
- ext_included = g_is_point;
+ || (maximize
+ && (candidate > extremum
+ || (g_is_point
+ && !ext_included
+ && candidate == extremum)))
+ || (!maximize
+ && (candidate < extremum
+ || (g_is_point
+ && !ext_included
+ && candidate == extremum)))) {
+ // We have a (new) candidate extremum.
+ first_candidate = false;
+ extremum = candidate;
+ ext_position = i;
+ ext_included = g_is_point;
}
}
}
@@ -872,11 +872,11 @@ PPL::Polyhedron::update_sat_c() const {
// and constraints are up-to-date.
PPL_ASSERT(sp_sign >= 0);
if (sp_sign > 0)
- // `gen_sys[i]' satisfies (without saturate) `con_sys[j]'.
- x.sat_c[i].set(j);
+ // `gen_sys[i]' satisfies (without saturate) `con_sys[j]'.
+ x.sat_c[i].set(j);
else
- // `gen_sys[i]' saturates `con_sys[j]'.
- x.sat_c[i].clear(j);
+ // `gen_sys[i]' saturates `con_sys[j]'.
+ x.sat_c[i].clear(j);
}
x.set_sat_c_up_to_date();
}
@@ -904,11 +904,11 @@ PPL::Polyhedron::update_sat_g() const {
// and constraints are up-to-date.
PPL_ASSERT(sp_sign >= 0);
if (sp_sign > 0)
- // `gen_sys[j]' satisfies (without saturate) `con_sys[i]'.
- x.sat_g[i].set(j);
+ // `gen_sys[j]' satisfies (without saturate) `con_sys[i]'.
+ x.sat_g[i].set(j);
else
- // `gen_sys[j]' saturates `con_sys[i]'.
- x.sat_g[i].clear(j);
+ // `gen_sys[j]' saturates `con_sys[i]'.
+ x.sat_g[i].clear(j);
}
x.set_sat_g_up_to_date();
}
@@ -1126,9 +1126,12 @@ PPL::Polyhedron::strongly_minimize_constraints() const {
PPL_UNREACHABLE;
break;
}
- Bit_Row sat_lines_and_rays(sat_all_but_points, sat_all_but_closure_points);
- Bit_Row sat_lines_and_closure_points(sat_all_but_rays, sat_all_but_points);
- Bit_Row sat_lines(sat_lines_and_rays, sat_lines_and_closure_points);
+ const Bit_Row
+ sat_lines_and_rays(sat_all_but_points, sat_all_but_closure_points);
+ const Bit_Row
+ sat_lines_and_closure_points(sat_all_but_rays, sat_all_but_points);
+ const Bit_Row
+ sat_lines(sat_lines_and_rays, sat_lines_and_closure_points);
// These flags are maintained to later decide if we have to add the
// eps_leq_one constraint and whether or not the constraint system
@@ -1150,29 +1153,29 @@ PPL::Polyhedron::strongly_minimize_constraints() const {
Bit_Row sat_ci;
sat_ci.union_assign(sat[i], sat_lines_and_closure_points);
if (sat_ci == sat_lines) {
- // It is saturated by no closure points.
- if (!found_eps_leq_one) {
- // Check if it is the eps_leq_one constraint.
+ // It is saturated by no closure points.
+ if (!found_eps_leq_one) {
+ // Check if it is the eps_leq_one constraint.
const Constraint& c = cs[i];
- if (c.expression().all_homogeneous_terms_are_zero()
+ if (c.expression().all_homogeneous_terms_are_zero()
&& (c.expression().inhomogeneous_term() + c.epsilon_coefficient() == 0)) {
- // We found the eps_leq_one constraint.
- found_eps_leq_one = true;
- // Consider next constraint.
- ++i;
- continue;
- }
- }
- // Here `cs[i]' is not the eps_leq_one constraint,
- // so it is eps-redundant.
- // Remove it, while keeping `sat_g' consistent.
- cs.remove_row(i, false);
- swap(sat[i], sat[cs.num_rows()]);
- // The constraint system is changed.
- changed = true;
- // Continue by considering next constraint,
- // which is already in place due to the swap.
- continue;
+ // We found the eps_leq_one constraint.
+ found_eps_leq_one = true;
+ // Consider next constraint.
+ ++i;
+ continue;
+ }
+ }
+ // Here `cs[i]' is not the eps_leq_one constraint,
+ // so it is eps-redundant.
+ // Remove it, while keeping `sat_g' consistent.
+ cs.remove_row(i, false);
+ swap(sat[i], sat[cs.num_rows()]);
+ // The constraint system is changed.
+ changed = true;
+ // Continue by considering next constraint,
+ // which is already in place due to the swap.
+ continue;
}
// Now we check if there exists another strict inequality
// constraint having a superset of its saturators,
@@ -1180,21 +1183,21 @@ PPL::Polyhedron::strongly_minimize_constraints() const {
sat_ci.union_assign(sat[i], sat_all_but_points);
bool eps_redundant = false;
for (dimension_type j = 0; j < cs.num_rows(); ++j)
- if (i != j && cs[j].is_strict_inequality()
- && subset_or_equal(sat[j], sat_ci)) {
- // Constraint `cs[i]' is eps-redundant:
- // remove it, while keeping `sat_g' consistent.
- cs.remove_row(i, false);
- swap(sat[i], sat[cs.num_rows()]);
- eps_redundant = true;
- // The constraint system is changed.
- changed = true;
- break;
- }
+ if (i != j && cs[j].is_strict_inequality()
+ && subset_or_equal(sat[j], sat_ci)) {
+ // Constraint `cs[i]' is eps-redundant:
+ // remove it, while keeping `sat_g' consistent.
+ cs.remove_row(i, false);
+ swap(sat[i], sat[cs.num_rows()]);
+ eps_redundant = true;
+ // The constraint system is changed.
+ changed = true;
+ break;
+ }
// Continue with next constraint, which is already in place
// due to the swap if we have found an eps-redundant constraint.
if (!eps_redundant)
- ++i;
+ ++i;
}
else
// `cs[i]' is not a strict inequality: consider next constraint.
@@ -1220,23 +1223,23 @@ PPL::Polyhedron::strongly_minimize_constraints() const {
// topology of `cs' even on exceptional execution path.
cs.mark_as_necessarily_closed();
try {
- lp.add_space_dimensions_and_embed(cs.space_dimension());
- lp.add_constraints(cs);
- cs.mark_as_not_necessarily_closed();
+ lp.add_space_dimensions_and_embed(cs.space_dimension());
+ lp.add_constraints(cs);
+ cs.mark_as_not_necessarily_closed();
}
catch (...) {
- cs.mark_as_not_necessarily_closed();
- throw;
+ cs.mark_as_not_necessarily_closed();
+ throw;
}
// The objective function is `epsilon'.
lp.set_objective_function(Variable(x.space_dim));
lp.set_optimization_mode(MAXIMIZATION);
- MIP_Problem_Status status = lp.solve();
+ const MIP_Problem_Status status = lp.solve();
PPL_ASSERT(status != UNFEASIBLE_MIP_PROBLEM);
// If the epsilon dimension is actually unbounded,
// then add the eps_leq_one constraint.
if (status == UNBOUNDED_MIP_PROBLEM)
- cs.insert(Constraint::epsilon_leq_one());
+ cs.insert(Constraint::epsilon_leq_one());
}
}
@@ -1293,36 +1296,36 @@ PPL::Polyhedron::strongly_minimize_generators() const {
if (g.is_point()) {
// Compute the Bit_Row corresponding to the candidate point
// when strict inequality constraints are ignored.
- Bit_Row sat_gs_i(sat[i], sat_all_but_strict_ineq);
+ const Bit_Row sat_gs_i(sat[i], sat_all_but_strict_ineq);
// Check if the candidate point is actually eps-redundant:
// namely, if there exists another point that saturates
// all the non-strict inequalities saturated by the candidate.
bool eps_redundant = false;
for (dimension_type j = n_lines; j < gs_rows; ++j) {
- Generator& g2 = gs.sys.rows[j];
- if (i != j && g2.is_point() && subset_or_equal(sat[j], sat_gs_i)) {
- // Point `g' is eps-redundant:
- // move it to the bottom of the generator system,
- // while keeping `sat_c' consistent.
- --gs_rows;
+ const Generator& g2 = gs.sys.rows[j];
+ if (i != j && g2.is_point() && subset_or_equal(sat[j], sat_gs_i)) {
+ // Point `g' is eps-redundant:
+ // move it to the bottom of the generator system,
+ // while keeping `sat_c' consistent.
+ --gs_rows;
swap(g, gs.sys.rows[gs_rows]);
- swap(sat[i], sat[gs_rows]);
- eps_redundant = true;
- changed = true;
- break;
- }
+ swap(sat[i], sat[gs_rows]);
+ eps_redundant = true;
+ changed = true;
+ break;
+ }
}
if (!eps_redundant) {
- // Let all point encodings have epsilon coordinate 1.
- if (g.epsilon_coefficient() != g.expr.inhomogeneous_term()) {
- g.set_epsilon_coefficient(g.expr.inhomogeneous_term());
- // Enforce normalization.
- g.expr.normalize();
+ // Let all point encodings have epsilon coordinate 1.
+ if (g.epsilon_coefficient() != g.expr.inhomogeneous_term()) {
+ g.set_epsilon_coefficient(g.expr.inhomogeneous_term());
+ // Enforce normalization.
+ g.expr.normalize();
PPL_ASSERT(g.OK());
- changed = true;
- }
- // Consider next generator.
- ++i;
+ changed = true;
+ }
+ // Consider next generator.
+ ++i;
}
}
else
@@ -1382,7 +1385,7 @@ PPL::Polyhedron::refine_no_check(const Constraint& c) {
// However, by barely invoking `con_sys.insert(c)' we would
// cause a change in the topology of `con_sys', which is wrong.
// Thus, we insert a "topology corrected" copy of `c'.
- Linear_Expression nc_expr = Linear_Expression(c);
+ const Linear_Expression nc_expr(c.expression());
if (c.is_equality())
if (adding_pending)
con_sys.insert_pending(nc_expr == 0);
@@ -1853,7 +1856,8 @@ PPL::Polyhedron::BHZ09_NNC_poly_hull_assign_if_exact(const Polyhedron& y) {
const Constraint& x_cs_i = x_cs[i];
PPL_ASSERT(x_cs_i.is_strict_inequality());
// Build the equality constraint induced by x_cs_i.
- Constraint eq_i(Linear_Expression(x_cs_i) == 0);
+ const Linear_Expression expr(x_cs_i.expression());
+ const Constraint eq_i(expr == 0);
PPL_ASSERT(!(ub.relation_with(eq_i)
.implies(Poly_Con_Relation::is_disjoint())));
Polyhedron ub_inters_hyperplane(ub);
@@ -1871,7 +1875,7 @@ PPL::Polyhedron::BHZ09_NNC_poly_hull_assign_if_exact(const Polyhedron& y) {
const Constraint& y_cs_i = y_cs[i];
PPL_ASSERT(y_cs_i.is_strict_inequality());
// Build the equality constraint induced by y_cs_i.
- Constraint eq_i(Linear_Expression(y_cs_i) == 0);
+ const Constraint eq_i(Linear_Expression(y_cs_i.expression()) == 0);
PPL_ASSERT(!(ub.relation_with(eq_i)
.implies(Poly_Con_Relation::is_disjoint())));
Polyhedron ub_inters_hyperplane(ub);
@@ -2081,7 +2085,7 @@ PPL::Polyhedron::BFT00_poly_hull_assign_if_exact(const Polyhedron& y) {
void
PPL::Polyhedron::drop_some_non_integer_points(const Variables_Set* vars_p,
- Complexity_Class complexity) {
+ Complexity_Class complexity) {
// There is nothing to do for an empty set of variables.
if (vars_p != 0 && vars_p->empty())
return;
@@ -2129,28 +2133,39 @@ PPL::Polyhedron::drop_some_non_integer_points(const Variables_Set* vars_p,
const bool con_sys_was_sorted = con_sys.is_sorted();
+ Variables_Set other_vars;
+ if (vars_p != 0) {
+ // Compute the complement of `*vars_p'.
+ for (dimension_type i = 0; i < space_dim; ++i) {
+ if (vars_p->find(i) == vars_p->end())
+ other_vars.insert(Variable(i));
+ }
+ }
+
for (dimension_type j = con_sys.sys.rows.size(); j-- > 0; ) {
Constraint& c = con_sys.sys.rows[j];
if (c.is_tautological())
continue;
- if (vars_p != 0) {
- if (!c.expression().all_zeroes(*vars_p))
- goto next_constraint;
+ if (!other_vars.empty()) {
+ // Skip constraints having a nonzero coefficient for a variable
+ // that does not occurr in the input set.
+ if (!c.expression().all_zeroes(other_vars))
+ continue;
}
if (!is_necessarily_closed()) {
// Transform all strict inequalities into non-strict ones,
// with the inhomogeneous term incremented by 1.
if (c.epsilon_coefficient() < 0) {
- c.set_epsilon_coefficient(0);
+ c.set_epsilon_coefficient(0);
Linear_Expression& e = c.expr;
e.set_inhomogeneous_term(e.inhomogeneous_term() - 1);
- // Enforce normalization.
- // FIXME: is this really necessary?
- e.normalize();
+ // Enforce normalization.
+ // FIXME: is this really necessary?
+ e.normalize();
PPL_ASSERT(c.OK());
- changed = true;
+ changed = true;
}
}
@@ -2162,8 +2177,8 @@ PPL::Polyhedron::drop_some_non_integer_points(const Variables_Set* vars_p,
// If we have an equality, the polyhedron becomes empty.
if (c.is_equality()) {
- set_empty();
- return;
+ set_empty();
+ return;
}
// Divide the inhomogeneous coefficients by the GCD.
@@ -2174,26 +2189,22 @@ PPL::Polyhedron::drop_some_non_integer_points(const Variables_Set* vars_p,
const int c_0_sign = sgn(c_0);
c_0 /= gcd;
if (c_0_sign < 0)
- --c_0;
+ --c_0;
c.expr.set_inhomogeneous_term(c_0);
PPL_ASSERT(c.OK());
changed = true;
}
-
- next_constraint: ;
}
con_sys.set_sorted(!changed && con_sys_was_sorted);
PPL_ASSERT(con_sys.sys.OK());
if (changed) {
- if (!is_necessarily_closed())
+ if (is_necessarily_closed())
+ con_sys.insert(Constraint::zero_dim_positivity());
+ else
con_sys.insert(Constraint::epsilon_leq_one());
- // FIXME: make sure this is correct (otherwise it should be removed).
- if (is_necessarily_closed() && con_sys_was_sorted)
- con_sys.set_sorted(true);
-
// After changing the system of constraints, the generators
// are no longer up-to-date and the constraints are no longer
// minimized.
@@ -2205,7 +2216,7 @@ PPL::Polyhedron::drop_some_non_integer_points(const Variables_Set* vars_p,
void
PPL::Polyhedron::throw_invalid_argument(const char* method,
- const char* reason) const {
+ const char* reason) const {
std::ostringstream s;
s << "PPL::";
if (is_necessarily_closed())
@@ -2219,8 +2230,8 @@ PPL::Polyhedron::throw_invalid_argument(const char* method,
void
PPL::Polyhedron::throw_topology_incompatible(const char* method,
- const char* ph_name,
- const Polyhedron& ph) const {
+ const char* ph_name,
+ const Polyhedron& ph) const {
std::ostringstream s;
s << "PPL::";
if (is_necessarily_closed())
@@ -2239,8 +2250,8 @@ PPL::Polyhedron::throw_topology_incompatible(const char* method,
void
PPL::Polyhedron::throw_topology_incompatible(const char* method,
- const char* c_name,
- const Constraint&) const {
+ const char* c_name,
+ const Constraint&) const {
PPL_ASSERT(is_necessarily_closed());
std::ostringstream s;
s << "PPL::C_Polyhedron::" << method << ":" << std::endl
@@ -2250,8 +2261,8 @@ PPL::Polyhedron::throw_topology_incompatible(const char* method,
void
PPL::Polyhedron::throw_topology_incompatible(const char* method,
- const char* g_name,
- const Generator&) const {
+ const char* g_name,
+ const Generator&) const {
PPL_ASSERT(is_necessarily_closed());
std::ostringstream s;
s << "PPL::C_Polyhedron::" << method << ":" << std::endl
@@ -2261,8 +2272,8 @@ PPL::Polyhedron::throw_topology_incompatible(const char* method,
void
PPL::Polyhedron::throw_topology_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System&) const {
+ const char* cs_name,
+ const Constraint_System&) const {
PPL_ASSERT(is_necessarily_closed());
std::ostringstream s;
s << "PPL::C_Polyhedron::" << method << ":" << std::endl
@@ -2272,8 +2283,8 @@ PPL::Polyhedron::throw_topology_incompatible(const char* method,
void
PPL::Polyhedron::throw_topology_incompatible(const char* method,
- const char* gs_name,
- const Generator_System&) const {
+ const char* gs_name,
+ const Generator_System&) const {
std::ostringstream s;
s << "PPL::C_Polyhedron::" << method << ":" << std::endl
<< gs_name << " contains closure points.";
@@ -2282,8 +2293,8 @@ PPL::Polyhedron::throw_topology_incompatible(const char* method,
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* other_name,
- dimension_type other_dim) const {
+ const char* other_name,
+ dimension_type other_dim) const {
std::ostringstream s;
s << "PPL::"
<< (is_necessarily_closed() ? "C_" : "NNC_")
@@ -2295,8 +2306,8 @@ PPL::Polyhedron::throw_dimension_incompatible(const char* method,
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* ph_name,
- const Polyhedron& ph) const {
+ const char* ph_name,
+ const Polyhedron& ph) const {
throw_dimension_incompatible(method, ph_name, ph.space_dimension());
}
@@ -2310,29 +2321,29 @@ PPL::Polyhedron
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const {
+ const char* c_name,
+ const Constraint& c) const {
throw_dimension_incompatible(method, c_name, c.space_dimension());
}
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const {
+ const char* g_name,
+ const Generator& g) const {
throw_dimension_incompatible(method, g_name, g.space_dimension());
}
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* cg_name,
- const Congruence& cg) const {
+ const char* cg_name,
+ const Congruence& cg) const {
throw_dimension_incompatible(method, cg_name, cg.space_dimension());
}
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const {
+ const char* cs_name,
+ const Constraint_System& cs) const {
throw_dimension_incompatible(method, cs_name, cs.space_dimension());
}
@@ -2354,8 +2365,8 @@ PPL::Polyhedron
void
PPL::Polyhedron::throw_dimension_incompatible(const char* method,
- const char* var_name,
- const Variable var) const {
+ const char* var_name,
+ const Variable var) const {
std::ostringstream s;
s << "PPL::";
if (is_necessarily_closed())
@@ -2371,7 +2382,7 @@ PPL::Polyhedron::throw_dimension_incompatible(const char* method,
void
PPL::Polyhedron::
throw_dimension_incompatible(const char* method,
- dimension_type required_space_dim) const {
+ dimension_type required_space_dim) const {
std::ostringstream s;
s << "PPL::";
if (is_necessarily_closed())
@@ -2388,9 +2399,9 @@ PPL::dimension_type
PPL::Polyhedron::check_space_dimension_overflow(const dimension_type dim,
const dimension_type max,
const Topology topol,
- const char* method,
- const char* reason) {
- const char* domain = (topol == NECESSARILY_CLOSED)
+ const char* method,
+ const char* reason) {
+ const char* const domain = (topol == NECESSARILY_CLOSED)
? "PPL::C_Polyhedron::" : "PPL::NNC_Polyhedron::";
return PPL::check_space_dimension_overflow(dim, max, domain, method, reason);
}
@@ -2398,15 +2409,15 @@ PPL::Polyhedron::check_space_dimension_overflow(const dimension_type dim,
PPL::dimension_type
PPL::Polyhedron::check_space_dimension_overflow(const dimension_type dim,
const Topology topol,
- const char* method,
- const char* reason) {
+ const char* method,
+ const char* reason) {
return check_space_dimension_overflow(dim, Polyhedron::max_space_dimension(),
topol, method, reason);
}
void
PPL::Polyhedron::throw_invalid_generator(const char* method,
- const char* g_name) const {
+ const char* g_name) const {
std::ostringstream s;
s << "PPL::";
if (is_necessarily_closed())
@@ -2421,7 +2432,7 @@ PPL::Polyhedron::throw_invalid_generator(const char* method,
void
PPL::Polyhedron::throw_invalid_generators(const char* method,
- const char* gs_name) const {
+ const char* gs_name) const {
std::ostringstream s;
s << "PPL::";
if (is_necessarily_closed())
diff --git a/src/Polyhedron_public.cc b/src/Polyhedron_public.cc
index b9b9a10..0cebe75 100644
--- a/src/Polyhedron_public.cc
+++ b/src/Polyhedron_public.cc
@@ -1,6 +1,6 @@
/* Polyhedron class implementation (non-inline public functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,12 +22,12 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Polyhedron.defs.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "MIP_Problem.defs.hh"
+#include "Polyhedron_defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "MIP_Problem_defs.hh"
#include "wrap_assign.hh"
#include "assert.hh"
#include <cstdlib>
@@ -65,7 +65,7 @@ PPL::Polyhedron::affine_dimension() const {
const Constraint_System& cs = minimized_constraints();
dimension_type d = space_dim;
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
if (i->is_equality())
--d;
return d;
@@ -209,15 +209,15 @@ PPL::Polyhedron::relation_with(const Constraint& c) const {
if (space_dim == 0) {
if (c.is_inconsistent())
if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
- // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
- // thus, the zero-dimensional point also saturates it.
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
+ // The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
+ // thus, the zero-dimensional point also saturates it.
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
else
- return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_disjoint();
else if (c.is_equality() || c.inhomogeneous_term() == 0)
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
else
// The zero-dimensional point saturates
// neither the positivity constraint 1 >= 0,
@@ -263,7 +263,7 @@ PPL::Polyhedron::relation_with(const Generator& g) const {
PPL::Poly_Con_Relation
PPL::Polyhedron::relation_with(const Congruence& cg) const {
- dimension_type cg_space_dim = cg.space_dimension();
+ const dimension_type cg_space_dim = cg.space_dimension();
// Dimension-compatibility check.
if (space_dim < cg_space_dim)
throw_dimension_incompatible("relation_with(cg)", "cg", cg);
@@ -283,7 +283,7 @@ PPL::Polyhedron::relation_with(const Congruence& cg) const {
return Poly_Con_Relation::is_disjoint();
else
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
}
if ((has_pending_constraints() && !process_pending_constraints())
@@ -294,8 +294,8 @@ PPL::Polyhedron::relation_with(const Congruence& cg) const {
&& Poly_Con_Relation::is_disjoint();
// Build the equality corresponding to the congruence (ignoring the modulus).
- Linear_Expression expr = Linear_Expression(cg);
- Constraint c(expr == 0);
+ Linear_Expression expr(cg.expression());
+ const Constraint c(expr == 0);
// The polyhedron is non-empty so that there exists a point.
// For an arbitrary generator point, compute the scalar product with
@@ -329,9 +329,9 @@ PPL::Polyhedron::relation_with(const Congruence& cg) const {
// Build first halfspace constraint.
const bool positive = (signed_distance > 0);
- Constraint first_halfspace = positive ? (expr >= 0) : (expr <= 0);
+ const Constraint first_halfspace = positive ? (expr >= 0) : (expr <= 0);
- Poly_Con_Relation first_rels = relation_with(first_halfspace);
+ const Poly_Con_Relation first_rels = relation_with(first_halfspace);
PPL_ASSERT(!first_rels.implies(Poly_Con_Relation::saturates())
&& !first_rels.implies(Poly_Con_Relation::is_disjoint()));
if (first_rels.implies(Poly_Con_Relation::strictly_intersects()))
@@ -342,10 +342,10 @@ PPL::Polyhedron::relation_with(const Congruence& cg) const {
expr -= modulus;
else
expr += modulus;
- Constraint second_halfspace = positive ? (expr <= 0) : (expr >= 0);
+ const Constraint second_halfspace = positive ? (expr <= 0) : (expr >= 0);
PPL_ASSERT(first_rels == Poly_Con_Relation::is_included());
- Poly_Con_Relation second_rels = relation_with(second_halfspace);
+ const Poly_Con_Relation second_rels = relation_with(second_halfspace);
PPL_ASSERT(!second_rels.implies(Poly_Con_Relation::saturates())
&& !second_rels.implies(Poly_Con_Relation::is_disjoint()));
if (second_rels.implies(Poly_Con_Relation::strictly_intersects()))
@@ -367,7 +367,7 @@ PPL::Polyhedron::is_universe() const {
// Search for a constraint that is not a tautology.
for (dimension_type i = con_sys.num_rows(); i-- > 0; )
if (!con_sys[i].is_tautological())
- return false;
+ return false;
// All the constraints are tautologies.
return true;
}
@@ -406,13 +406,13 @@ PPL::Polyhedron::is_universe() const {
for (dimension_type i = first_pending; i < gs_num_rows; ++i)
switch (gen_sys[i].type()) {
case Generator::RAY:
- ++num_pending_rays;
- break;
+ ++num_pending_rays;
+ break;
case Generator::LINE:
- ++num_pending_lines;
- break;
+ ++num_pending_lines;
+ break;
default:
- break;
+ break;
}
// If no pending rays and lines were found,
// then it is not the universe polyhedron.
@@ -422,11 +422,11 @@ PPL::Polyhedron::is_universe() const {
// we assume they are all linearly independent).
if (num_lines + num_pending_lines < space_dim) {
const dimension_type num_dims_missing
- = space_dim - (num_lines + num_pending_lines);
+ = space_dim - (num_lines + num_pending_lines);
// In order to span an n dimensional space (where n = num_dims_missing),
// at least n+1 rays are needed.
if (num_rays + num_pending_rays <= num_dims_missing)
- return false;
+ return false;
}
}
else {
@@ -441,7 +441,7 @@ PPL::Polyhedron::is_universe() const {
// an n dimensional space (where n = space_dim - num_lines),
// at least n+1 rays are needed.
if (num_lines < space_dim && num_lines + num_rays <= space_dim)
- return false;
+ return false;
}
// We need the polyhedron in minimal form.
@@ -456,8 +456,8 @@ PPL::Polyhedron::is_universe() const {
else {
// NNC polyhedron.
if (con_sys.num_rows() != 2
- || con_sys[0].is_equality()
- || con_sys[1].is_equality())
+ || con_sys[0].is_equality()
+ || con_sys[1].is_equality())
return false;
else {
// If the system of constraints contains two rows that
@@ -522,18 +522,18 @@ PPL::Polyhedron::is_topologically_closed() const {
for (dimension_type i = n_rows; i-- > n_lines; ) {
const Generator& gen_sys_i = gen_sys[i];
if (gen_sys_i.is_closure_point()) {
- bool gen_sys_i_has_no_matching_point = true;
- for (dimension_type j = n_rows; j-- > n_lines; ) {
- const Generator& gen_sys_j = gen_sys[j];
- if (i != j
- && gen_sys_j.is_point()
- && gen_sys_i.is_matching_closure_point(gen_sys_j)) {
- gen_sys_i_has_no_matching_point = false;
- break;
- }
- }
- if (gen_sys_i_has_no_matching_point)
- return false;
+ bool gen_sys_i_has_no_matching_point = true;
+ for (dimension_type j = n_rows; j-- > n_lines; ) {
+ const Generator& gen_sys_j = gen_sys[j];
+ if (i != j
+ && gen_sys_j.is_point()
+ && gen_sys_i.is_matching_closure_point(gen_sys_j)) {
+ gen_sys_i_has_no_matching_point = false;
+ break;
+ }
+ }
+ if (gen_sys_i_has_no_matching_point)
+ return false;
}
}
// All closure points are matched.
@@ -568,26 +568,26 @@ PPL::Polyhedron::contains_integer_point() const {
if (generators_are_up_to_date())
for (dimension_type i = gen_sys.num_rows(); i-- > 0; )
if (gen_sys[i].is_point() && gen_sys[i].divisor() == 1)
- return true;
+ return true;
const Constraint_System& cs = constraints();
#if 0 // TEMPORARILY DISABLED.
MIP_Problem mip(space_dim,
- cs.begin(), cs.end(),
- Variables_Set(Variable(0), Variable(space_dim-1)));
+ cs.begin(), cs.end(),
+ Variables_Set(Variable(0), Variable(space_dim-1)));
#else
// FIXME: temporary workaround, to be removed as soon as the MIP
// problem class will correctly and precisely handle
// ((strict) in-) equality constraints having all integer variables.
MIP_Problem mip(space_dim);
mip.add_to_integer_space_dimensions(Variables_Set(Variable(0),
- Variable(space_dim-1)));
+ Variable(space_dim-1)));
PPL_DIRTY_TEMP_COEFFICIENT(homogeneous_gcd);
PPL_DIRTY_TEMP_COEFFICIENT(gcd);
PPL_DIRTY_TEMP(mpq_class, rational_inhomogeneous);
PPL_DIRTY_TEMP_COEFFICIENT(tightened_inhomogeneous);
for (Constraint_System::const_iterator cs_i = cs.begin(),
- cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
+ cs_end = cs.end(); cs_i != cs_end; ++cs_i) {
const Constraint& c = *cs_i;
const Constraint::Type c_type = c.type();
const Coefficient& inhomogeneous = c.inhomogeneous_term();
@@ -602,65 +602,65 @@ PPL::Polyhedron::contains_integer_point() const {
PPL_ASSERT(c.is_inconsistent());
return false;
}
- Linear_Expression le(c);
+ Linear_Expression le(c.expression());
if (homogeneous_gcd != 1)
le /= homogeneous_gcd;
// Further tighten the constraint if the inhomogeneous term
// was integer, i.e., if `homogeneous_gcd' divides `inhomogeneous'.
gcd_assign(gcd, homogeneous_gcd, inhomogeneous);
if (gcd == homogeneous_gcd)
- le -= 1;
+ le -= 1;
mip.add_constraint(le >= 0);
}
else {
// Equality or non-strict inequality.
// If possible, avoid useless gcd computations.
if (inhomogeneous == 0)
- // The inhomogeneous term cannot be tightened.
- mip.add_constraint(c);
+ // The inhomogeneous term cannot be tightened.
+ mip.add_constraint(c);
else {
- // Compute the GCD of the coefficients of c
- // (disregarding the inhomogeneous term)
- // to see whether or not the inhomogeneous term can be tightened.
- homogeneous_gcd = c.expression().gcd(1, space_dim + 1);
+ // Compute the GCD of the coefficients of c
+ // (disregarding the inhomogeneous term)
+ // to see whether or not the inhomogeneous term can be tightened.
+ homogeneous_gcd = c.expression().gcd(1, space_dim + 1);
if (homogeneous_gcd == 0) {
// NOTE: since tautological constraints are already filtered away
// by iterators, here we must have an inconsistent constraint.
PPL_ASSERT(c.is_inconsistent());
return false;
}
- else if (homogeneous_gcd == 1)
- // The normalized inhomogeneous term is integer:
- // add the constraint as-is.
- mip.add_constraint(c);
- else {
- PPL_ASSERT(homogeneous_gcd > 1);
- // Here the normalized inhomogeneous term is rational:
- // the constraint has to be tightened.
+ else if (homogeneous_gcd == 1)
+ // The normalized inhomogeneous term is integer:
+ // add the constraint as-is.
+ mip.add_constraint(c);
+ else {
+ PPL_ASSERT(homogeneous_gcd > 1);
+ // Here the normalized inhomogeneous term is rational:
+ // the constraint has to be tightened.
#ifndef NDEBUG
- // `homogeneous_gcd' does not divide `inhomogeneous'.
- // FIXME: add a divisibility test for Coefficient.
- gcd_assign(gcd, homogeneous_gcd, inhomogeneous);
- PPL_ASSERT(gcd == 1);
+ // `homogeneous_gcd' does not divide `inhomogeneous'.
+ // FIXME: add a divisibility test for Coefficient.
+ gcd_assign(gcd, homogeneous_gcd, inhomogeneous);
+ PPL_ASSERT(gcd == 1);
#endif
- if (c.type() == Constraint::EQUALITY)
- return false;
- // Extract the homogeneous part of the constraint.
- Linear_Expression le = Linear_Expression(c);
- le -= inhomogeneous;
- // Tighten the inhomogeneous term.
- assign_r(rational_inhomogeneous.get_num(),
- inhomogeneous, ROUND_NOT_NEEDED);
- assign_r(rational_inhomogeneous.get_den(),
- homogeneous_gcd, ROUND_NOT_NEEDED);
- // Note: canonicalization is not needed (as gcd == 1).
- PPL_ASSERT(is_canonical(rational_inhomogeneous));
- assign_r(tightened_inhomogeneous,
- rational_inhomogeneous, ROUND_DOWN);
- tightened_inhomogeneous *= homogeneous_gcd;
- le += tightened_inhomogeneous;
- mip.add_constraint(le >= 0);
- }
+ if (c.type() == Constraint::EQUALITY)
+ return false;
+ // Extract the homogeneous part of the constraint.
+ Linear_Expression le(c.expression());
+ le -= inhomogeneous;
+ // Tighten the inhomogeneous term.
+ assign_r(rational_inhomogeneous.get_num(),
+ inhomogeneous, ROUND_NOT_NEEDED);
+ assign_r(rational_inhomogeneous.get_den(),
+ homogeneous_gcd, ROUND_NOT_NEEDED);
+ // Note: canonicalization is not needed (as gcd == 1).
+ PPL_ASSERT(is_canonical(rational_inhomogeneous));
+ assign_r(tightened_inhomogeneous,
+ rational_inhomogeneous, ROUND_DOWN);
+ tightened_inhomogeneous *= homogeneous_gcd;
+ le += tightened_inhomogeneous;
+ mip.add_constraint(le >= 0);
+ }
}
}
}
@@ -696,11 +696,11 @@ PPL::Polyhedron::constrains(const Variable var) const {
dimension_type num_lines = 0;
const dimension_type first_pending = gen_sys.first_pending_row();
for (dimension_type i = first_pending; i-- > 0; )
- if (gen_sys[i].is_line())
- ++num_lines;
+ if (gen_sys[i].is_line())
+ ++num_lines;
if (num_lines == space_dim)
- return false;
+ return false;
}
// Scan generators: perhaps we will find a generator equivalent to
@@ -712,8 +712,8 @@ PPL::Polyhedron::constrains(const Variable var) const {
for (dimension_type i = gen_sys.num_rows(); i-- > 0; ) {
const Generator& gen_sys_i = gen_sys[i];
if (gen_sys_i.is_line_or_ray()) {
- const int sign = sgn(gen_sys_i.coefficient(var));
- if (sign != 0) {
+ const int sign = sgn(gen_sys_i.coefficient(var));
+ if (sign != 0) {
if (gen_sys_i.expression().all_zeroes(1, var_id)
&& gen_sys_i.expression().all_zeroes(var_id + 1, space_dim + 1)) {
@@ -729,7 +729,7 @@ PPL::Polyhedron::constrains(const Variable var) const {
else
have_negative_ray = true;
}
- }
+ }
}
}
@@ -766,7 +766,7 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (con_sys.topology() != gen_sys.topology()) {
#ifndef NDEBUG
cerr << "Constraints and generators have different topologies!"
- << endl;
+ << endl;
#endif
goto bomb;
}
@@ -790,7 +790,7 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (has_something_pending()) {
#ifndef NDEBUG
cerr << "The polyhedron is empty, "
- << "but it has something pending" << endl;
+ << "but it has something pending" << endl;
#endif
goto bomb;
}
@@ -799,28 +799,28 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
else {
if (con_sys.space_dimension() != space_dim) {
#ifndef NDEBUG
- cerr << "The polyhedron is in a space of dimension "
- << space_dim
- << " while the system of constraints is in a space of dimension "
- << con_sys.space_dimension()
- << endl;
+ cerr << "The polyhedron is in a space of dimension "
+ << space_dim
+ << " while the system of constraints is in a space of dimension "
+ << con_sys.space_dimension()
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
if (con_sys.num_rows() != 1) {
#ifndef NDEBUG
- cerr << "The system of constraints for an empty polyhedron "
- << "has more then one row"
- << endl;
+ cerr << "The system of constraints for an empty polyhedron "
+ << "has more then one row"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
if (!con_sys[0].is_inconsistent()) {
#ifndef NDEBUG
- cerr << "Empty polyhedron with a satisfiable system of constraints"
- << endl;
+ cerr << "Empty polyhedron with a satisfiable system of constraints"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
// Here we have only one, inconsistent constraint.
return true;
@@ -834,16 +834,16 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (has_something_pending()) {
#ifndef NDEBUG
cerr << "Zero-dimensional polyhedron with something pending"
- << endl;
+ << endl;
#endif
goto bomb;
}
if (!con_sys.has_no_rows() || !gen_sys.has_no_rows()) {
#ifndef NDEBUG
cerr << "Zero-dimensional polyhedron with a non-empty"
- << endl
- << "system of constraints or generators."
- << endl;
+ << endl
+ << "system of constraints or generators."
+ << endl;
#endif
goto bomb;
}
@@ -855,9 +855,9 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (!constraints_are_up_to_date() && !generators_are_up_to_date()) {
#ifndef NDEBUG
cerr << "Polyhedron not empty, not zero-dimensional"
- << endl
- << "and with neither constraints nor generators up-to-date!"
- << endl;
+ << endl
+ << "and with neither constraints nor generators up-to-date!"
+ << endl;
#endif
goto bomb;
}
@@ -872,33 +872,33 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (con_sys.space_dimension() != space_dim) {
#ifndef NDEBUG
cerr << "Incompatible size! (con_sys and space_dim)"
- << endl;
+ << endl;
#endif
goto bomb;
}
if (sat_c_is_up_to_date())
if (con_sys.first_pending_row() != sat_c.num_columns()) {
#ifndef NDEBUG
- cerr << "Incompatible size! (con_sys and sat_c)"
- << endl;
+ cerr << "Incompatible size! (con_sys and sat_c)"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
if (sat_g_is_up_to_date())
if (con_sys.first_pending_row() != sat_g.num_rows()) {
#ifndef NDEBUG
- cerr << "Incompatible size! (con_sys and sat_g)"
- << endl;
+ cerr << "Incompatible size! (con_sys and sat_g)"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
if (generators_are_up_to_date())
if (con_sys.space_dimension() != gen_sys.space_dimension()) {
#ifndef NDEBUG
- cerr << "Incompatible size! (con_sys and gen_sys)"
- << endl;
+ cerr << "Incompatible size! (con_sys and gen_sys)"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
}
@@ -906,31 +906,31 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (gen_sys.space_dimension() != space_dim) {
#ifndef NDEBUG
cerr << "Incompatible size! (gen_sys and space_dim)"
- << endl;
+ << endl;
#endif
goto bomb;
}
if (sat_c_is_up_to_date())
if (gen_sys.first_pending_row() != sat_c.num_rows()) {
#ifndef NDEBUG
- cerr << "Incompatible size! (gen_sys and sat_c)"
- << endl;
+ cerr << "Incompatible size! (gen_sys and sat_c)"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
if (sat_g_is_up_to_date())
if (gen_sys.first_pending_row() != sat_g.num_columns()) {
#ifndef NDEBUG
- cerr << "Incompatible size! (gen_sys and sat_g)"
- << endl;
+ cerr << "Incompatible size! (gen_sys and sat_g)"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
if (gen_sys.first_pending_row() == 0) {
#ifndef NDEBUG
cerr << "Up-to-date generator system with all rows pending!"
- << endl;
+ << endl;
#endif
goto bomb;
}
@@ -940,8 +940,8 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (!gen_sys.has_no_rows() && !gen_sys.has_points()) {
#ifndef NDEBUG
cerr << "Non-empty generator system declared up-to-date "
- << "has no points!"
- << endl;
+ << "has no points!"
+ << endl;
#endif
goto bomb;
}
@@ -962,16 +962,16 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
dimension_type num_closure_points = 0;
dimension_type eps_index = gen_sys.space_dimension() + 1;
for (dimension_type i = gen_sys.num_rows(); i-- > 0; )
- if (!gen_sys[i].is_line_or_ray())
- if (gen_sys[i][eps_index] > 0)
- ++num_points;
- else
- ++num_closure_points;
+ if (!gen_sys[i].is_line_or_ray())
+ if (gen_sys[i][eps_index] > 0)
+ ++num_points;
+ else
+ ++num_closure_points;
if (num_points > num_closure_points) {
#ifndef NDEBUG
- cerr << "# POINTS > # CLOSURE_POINTS" << endl;
+ cerr << "# POINTS > # CLOSURE_POINTS" << endl;
#endif
- goto bomb;
+ goto bomb;
}
}
//=================================================
@@ -992,15 +992,15 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
minimize(false, copy_of_gen_sys, new_con_sys, new_sat_c);
const dimension_type copy_num_lines = copy_of_gen_sys.num_lines();
if (gs_without_pending.num_rows() != copy_of_gen_sys.num_rows()
- || gs_without_pending.num_lines() != copy_num_lines
- || gs_without_pending.num_rays() != copy_of_gen_sys.num_rays()) {
+ || gs_without_pending.num_lines() != copy_num_lines
+ || gs_without_pending.num_rays() != copy_of_gen_sys.num_rays()) {
#ifndef NDEBUG
- cerr << "Generators are declared minimized, but they are not!\n"
- << "Here is the minimized form of the generators:\n";
- copy_of_gen_sys.ascii_dump(cerr);
- cerr << endl;
+ cerr << "Generators are declared minimized, but they are not!\n"
+ << "Here is the minimized form of the generators:\n";
+ copy_of_gen_sys.ascii_dump(cerr);
+ cerr << endl;
#endif
- goto bomb;
+ goto bomb;
}
// CHECKME : the following observation is not formally true
@@ -1017,21 +1017,21 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
// they are different it means that the generators of the
// polyhedron are declared minimized, but they are not.
if (copy_num_lines == 0) {
- copy_of_gen_sys.strong_normalize();
- copy_of_gen_sys.sort_rows();
- gs_without_pending.strong_normalize();
- gs_without_pending.sort_rows();
- if (copy_of_gen_sys != gs_without_pending) {
+ copy_of_gen_sys.strong_normalize();
+ copy_of_gen_sys.sort_rows();
+ gs_without_pending.strong_normalize();
+ gs_without_pending.sort_rows();
+ if (copy_of_gen_sys != gs_without_pending) {
#ifndef NDEBUG
- cerr << "Generators are declared minimized, but they are not!\n"
- << "(we are in the case:\n"
- << "dimension of lineality space equal to 0)\n"
- << "Here is the minimized form of the generators:\n";
- copy_of_gen_sys.ascii_dump(cerr);
- cerr << endl;
+ cerr << "Generators are declared minimized, but they are not!\n"
+ << "(we are in the case:\n"
+ << "dimension of lineality space equal to 0)\n"
+ << "Here is the minimized form of the generators:\n";
+ copy_of_gen_sys.ascii_dump(cerr);
+ cerr << endl;
#endif
- goto bomb;
- }
+ goto bomb;
+ }
}
}
}
@@ -1040,7 +1040,7 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (con_sys.first_pending_row() == 0) {
#ifndef NDEBUG
cerr << "Up-to-date constraint system with all rows pending!"
- << endl;
+ << endl;
#endif
goto bomb;
}
@@ -1054,13 +1054,13 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
bool no_positivity_constraint = true;
for (dimension_type i = con_sys.num_rows(); i-- > 0; )
if (con_sys[i].inhomogeneous_term() != 0) {
- no_positivity_constraint = false;
- break;
+ no_positivity_constraint = false;
+ break;
}
if (no_positivity_constraint) {
#ifndef NDEBUG
cerr << "Non-empty constraint system has no positivity constraint"
- << endl;
+ << endl;
#endif
goto bomb;
}
@@ -1071,17 +1071,17 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
// i.e., a constraint with a positive epsilon coefficient.
bool no_epsilon_geq_zero = true;
for (dimension_type i = con_sys.num_rows(); i-- > 0; )
- if (con_sys[i].epsilon_coefficient() > 0) {
- no_epsilon_geq_zero = false;
- break;
- }
+ if (con_sys[i].epsilon_coefficient() > 0) {
+ no_epsilon_geq_zero = false;
+ break;
+ }
if (no_epsilon_geq_zero) {
#ifndef NDEBUG
- cerr << "Non-empty constraint system for NNC polyhedron "
- << "has no epsilon >= 0 constraint"
- << endl;
+ cerr << "Non-empty constraint system for NNC polyhedron "
+ << "has no epsilon >= 0 constraint"
+ << endl;
#endif
- goto bomb;
+ goto bomb;
}
}
@@ -1100,7 +1100,7 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (empty && check_not_empty) {
#ifndef NDEBUG
cerr << "Unsatisfiable system of constraints!"
- << endl;
+ << endl;
#endif
goto bomb;
}
@@ -1111,15 +1111,15 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
// the same of the temporary minimized one.
// If it does not happen, the polyhedron is not OK.
if (cs_without_pending.num_rows() != copy_of_con_sys.num_rows()
- || cs_without_pending.num_equalities()
- != copy_of_con_sys.num_equalities()) {
+ || cs_without_pending.num_equalities()
+ != copy_of_con_sys.num_equalities()) {
#ifndef NDEBUG
- cerr << "Constraints are declared minimized, but they are not!\n"
- << "Here is the minimized form of the constraints:\n";
- copy_of_con_sys.ascii_dump(cerr);
- cerr << endl;
+ cerr << "Constraints are declared minimized, but they are not!\n"
+ << "Here is the minimized form of the constraints:\n";
+ copy_of_con_sys.ascii_dump(cerr);
+ cerr << endl;
#endif
- goto bomb;
+ goto bomb;
}
// The system `copy_of_con_sys' has the form that is obtained
// after applying methods gauss() and back_substitute().
@@ -1137,12 +1137,12 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
cs_without_pending.sort_rows();
if (cs_without_pending != copy_of_con_sys) {
#ifndef NDEBUG
- cerr << "Constraints are declared minimized, but they are not!\n"
- << "Here is the minimized form of the constraints:\n";
- copy_of_con_sys.ascii_dump(cerr);
- cerr << endl;
+ cerr << "Constraints are declared minimized, but they are not!\n"
+ << "Here is the minimized form of the constraints:\n";
+ copy_of_con_sys.ascii_dump(cerr);
+ cerr << endl;
#endif
- goto bomb;
+ goto bomb;
}
}
}
@@ -1152,14 +1152,14 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
const Generator tmp_gen = gen_sys[i];
const Bit_Row tmp_sat = sat_c[i];
for (dimension_type j = sat_c.num_columns(); j-- > 0; ) {
- const bool sat_j = (Scalar_Products::sign(con_sys[j], tmp_gen) == 0);
- if (sat_j == tmp_sat[j]) {
+ const bool sat_j = (Scalar_Products::sign(con_sys[j], tmp_gen) == 0);
+ if (sat_j == tmp_sat[j]) {
#ifndef NDEBUG
- cerr << "sat_c is declared up-to-date, but it is not!"
- << endl;
+ cerr << "sat_c is declared up-to-date, but it is not!"
+ << endl;
#endif
- goto bomb;
- }
+ goto bomb;
+ }
}
}
@@ -1168,14 +1168,14 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
const Constraint tmp_con = con_sys[i];
const Bit_Row tmp_sat = sat_g[i];
for (dimension_type j = sat_g.num_columns(); j-- > 0; ) {
- const bool sat_j = (Scalar_Products::sign(tmp_con, gen_sys[j]) == 0);
- if (sat_j == tmp_sat[j]) {
+ const bool sat_j = (Scalar_Products::sign(tmp_con, gen_sys[j]) == 0);
+ if (sat_j == tmp_sat[j]) {
#ifndef NDEBUG
- cerr << "sat_g is declared up-to-date, but it is not!"
- << endl;
+ cerr << "sat_g is declared up-to-date, but it is not!"
+ << endl;
#endif
- goto bomb;
- }
+ goto bomb;
+ }
}
}
@@ -1183,8 +1183,8 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (con_sys.num_pending_rows() == 0) {
#ifndef NDEBUG
cerr << "The polyhedron is declared to have pending constraints, "
- << "but con_sys has no pending rows!"
- << endl;
+ << "but con_sys has no pending rows!"
+ << endl;
#endif
goto bomb;
}
@@ -1194,8 +1194,8 @@ PPL::Polyhedron::OK(bool check_not_empty) const {
if (gen_sys.num_pending_rows() == 0) {
#ifndef NDEBUG
cerr << "The polyhedron is declared to have pending generators, "
- << "but gen_sys has no pending rows!"
- << endl;
+ << "but gen_sys has no pending rows!"
+ << endl;
#endif
goto bomb;
}
@@ -1253,7 +1253,7 @@ PPL::Polyhedron::add_congruence(const Congruence& cg) {
}
// Non-trivial and proper congruences are not allowed.
throw_invalid_argument("add_congruence(cg)",
- "cg is a non-trivial, proper congruence");
+ "cg is a non-trivial, proper congruence");
}
PPL_ASSERT(cg.is_equality());
@@ -1267,9 +1267,8 @@ PPL::Polyhedron::add_congruence(const Congruence& cg) {
}
// Add the equality.
- Linear_Expression le(cg);
- Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
-
+ Linear_Expression le(cg.expression());
+ const Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
refine_no_check(c);
}
@@ -1291,9 +1290,9 @@ PPL::Polyhedron::add_generator(const Generator& g) {
// Closure points can only be inserted in non-empty polyhedra.
if (marked_empty()) {
if (g.type() != Generator::POINT)
- throw_invalid_generator("add_generator(g)", "g");
+ throw_invalid_generator("add_generator(g)", "g");
else
- set_zero_dim_univ();
+ set_zero_dim_univ();
}
PPL_ASSERT_HEAVY(OK());
return;
@@ -1312,16 +1311,16 @@ PPL::Polyhedron::add_generator(const Generator& g) {
// the system of generators to have the right dimension.
gen_sys.adjust_topology_and_space_dimension(topology(), space_dim);
if (!is_necessarily_closed()) {
- // In the NNC topology, each point has to be matched by
- // a corresponding closure point:
- // turn the just inserted point into the corresponding
- // (normalized) closure point.
- gen_sys.sys.rows.back().set_epsilon_coefficient(0);
- gen_sys.sys.rows.back().expr.normalize();
+ // In the NNC topology, each point has to be matched by
+ // a corresponding closure point:
+ // turn the just inserted point into the corresponding
+ // (normalized) closure point.
+ gen_sys.sys.rows.back().set_epsilon_coefficient(0);
+ gen_sys.sys.rows.back().expr.normalize();
PPL_ASSERT(gen_sys.sys.rows.back().OK());
PPL_ASSERT(gen_sys.sys.OK());
- // Re-insert the point (which is already normalized).
- gen_sys.insert(g);
+ // Re-insert the point (which is already normalized).
+ gen_sys.insert(g);
}
}
else {
@@ -1330,7 +1329,7 @@ PPL::Polyhedron::add_generator(const Generator& g) {
// However, by barely invoking `gen_sys.insert(g)' we would
// cause a change in the topology of `gen_sys', which is wrong.
// Thus, we insert a "topology corrected" copy of `g'.
- const Linear_Expression nc_expr = Linear_Expression(g);
+ const Linear_Expression nc_expr(g.expression());
gen_sys.insert(Generator::point(nc_expr, g.divisor()));
// Since `gen_sys' was empty, after inserting `g' we have to resize
// the system of generators to have the right dimension.
@@ -1347,16 +1346,16 @@ PPL::Polyhedron::add_generator(const Generator& g) {
// Since `gen_sys' is not empty, the topology and space dimension
// of the inserted generator are automatically adjusted.
if (has_pending)
- gen_sys.insert_pending(g);
+ gen_sys.insert_pending(g);
else
- gen_sys.insert(g);
+ gen_sys.insert(g);
if (!is_necessarily_closed() && g.is_point()) {
- // In the NNC topology, each point has to be matched by
- // a corresponding closure point:
- // turn the just inserted point into the corresponding
- // (normalized) closure point.
- gen_sys.sys.rows.back().set_epsilon_coefficient(0);
- gen_sys.sys.rows.back().expr.normalize();
+ // In the NNC topology, each point has to be matched by
+ // a corresponding closure point:
+ // turn the just inserted point into the corresponding
+ // (normalized) closure point.
+ gen_sys.sys.rows.back().set_epsilon_coefficient(0);
+ gen_sys.sys.rows.back().expr.normalize();
PPL_ASSERT(gen_sys.sys.rows.back().OK());
PPL_ASSERT(gen_sys.sys.OK());
// Re-insert the point (which is already normalized).
@@ -1373,29 +1372,29 @@ PPL::Polyhedron::add_generator(const Generator& g) {
// However, by barely invoking `gen_sys.insert(g)' we would
// cause a change in the topology of `gen_sys', which is wrong.
// Thus, we insert a "topology corrected" copy of `g'.
- const Linear_Expression nc_expr = Linear_Expression(g);
+ const Linear_Expression nc_expr(g.expression());
switch (g.type()) {
case Generator::LINE:
- if (has_pending)
- gen_sys.insert_pending(Generator::line(nc_expr));
- else
- gen_sys.insert(Generator::line(nc_expr));
- break;
+ if (has_pending)
+ gen_sys.insert_pending(Generator::line(nc_expr));
+ else
+ gen_sys.insert(Generator::line(nc_expr));
+ break;
case Generator::RAY:
- if (has_pending)
- gen_sys.insert_pending(Generator::ray(nc_expr));
- else
- gen_sys.insert(Generator::ray(nc_expr));
- break;
+ if (has_pending)
+ gen_sys.insert_pending(Generator::ray(nc_expr));
+ else
+ gen_sys.insert(Generator::ray(nc_expr));
+ break;
case Generator::POINT:
- if (has_pending)
- gen_sys.insert_pending(Generator::point(nc_expr, g.divisor()));
- else
- gen_sys.insert(Generator::point(nc_expr, g.divisor()));
- break;
+ if (has_pending)
+ gen_sys.insert_pending(Generator::point(nc_expr, g.divisor()));
+ else
+ gen_sys.insert(Generator::point(nc_expr, g.divisor()));
+ break;
case Generator::CLOSURE_POINT:
PPL_UNREACHABLE;
- break;
+ break;
}
}
@@ -1559,7 +1558,8 @@ PPL::Polyhedron::add_recycled_generators(Generator_System& gs) {
gs.clear();
set_generators_pending();
- } else {
+ }
+ else {
// Here we do not require `gen_sys' to be sorted.
// also, we _remove_ (instead of copying) the coefficients of `gs'
// (which is not a const).
@@ -1595,8 +1595,8 @@ PPL::Polyhedron::add_congruences(const Congruence_System& cgs) {
cgs_end = cgs.end(); i != cgs_end; ++i) {
const Congruence& cg = *i;
if (cg.is_equality()) {
- Linear_Expression le(cg);
- Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
+ Linear_Expression le(cg.expression());
+ const Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
// TODO: Consider stealing the row in c when adding it to cs.
cs.insert(c);
@@ -1646,9 +1646,8 @@ PPL::Polyhedron::refine_with_congruence(const Congruence& cg) {
}
if (cg.is_equality()) {
- Linear_Expression le(cg);
- Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
-
+ Linear_Expression le(cg.expression());
+ const Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
refine_no_check(c);
}
}
@@ -1661,7 +1660,7 @@ PPL::Polyhedron::refine_with_constraints(const Constraint_System& cs) {
const dimension_type cs_space_dim = cs.space_dimension();
if (space_dim < cs_space_dim)
throw_dimension_incompatible("refine_with_constraints(cs)a",
- "cs", cs);
+ "cs", cs);
// Adding no constraints is a no-op.
if (cs.has_no_rows())
@@ -1706,7 +1705,7 @@ PPL::Polyhedron::refine_with_constraints(const Constraint_System& cs) {
// would cause a change in the topology of `con_sys', which is
// wrong. Thus, we insert a topology closed and "topology
// corrected" version of `c'.
- Linear_Expression nc_expr = Linear_Expression(c);
+ const Linear_Expression nc_expr(c.expression());
if (c.is_equality())
if (adding_pending)
con_sys.insert_pending(nc_expr == 0);
@@ -1744,8 +1743,8 @@ PPL::Polyhedron::refine_with_congruences(const Congruence_System& cgs) {
for (Congruence_System::const_iterator i = cgs.begin(),
cgs_end = cgs.end(); i != cgs_end; ++i) {
if (i->is_equality()) {
- Linear_Expression le(*i);
- Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
+ Linear_Expression le(i->expression());
+ const Constraint c(le, Constraint::EQUALITY, NECESSARILY_CLOSED);
// TODO: Consider stealing the row in c when adding it to cs.
cs.insert(c);
@@ -1885,7 +1884,7 @@ PPL::Polyhedron::intersection_assign(const Polyhedron& y) {
// If both constraint systems are (fully) sorted, then we can
// merge them; otherwise we simply add the second to the first.
if (x.con_sys.is_sorted()
- && y.con_sys.is_sorted() && !y.has_pending_constraints())
+ && y.con_sys.is_sorted() && !y.has_pending_constraints())
x.con_sys.merge_rows_assign(y.con_sys);
else
x.con_sys.insert(y.con_sys);
@@ -2027,7 +2026,7 @@ PPL::Polyhedron::simplify_using_context_assign(const Polyhedron& y) {
// found, and assign to `x' the polyhedron `ph' with `c' as
// the only constraint.
Polyhedron ph(x.topology(), x.space_dim, UNIVERSE);
- Linear_Expression le(y_con_sys_i);
+ const Linear_Expression le(y_con_sys_i.expression());
switch (y_con_sys_i.type()) {
case Constraint::EQUALITY:
ph.refine_no_check(le == 1);
@@ -2041,7 +2040,7 @@ PPL::Polyhedron::simplify_using_context_assign(const Polyhedron& y) {
}
m_swap(ph);
PPL_ASSERT_HEAVY(OK());
- return false;
+ return false;
}
}
// `y' is the universe: `x' cannot be enlarged.
@@ -2122,7 +2121,7 @@ PPL::Polyhedron::simplify_using_context_assign(const Polyhedron& y) {
for (dimension_type i = 0, j = 0; i < x_cs_num_rows; ++i) {
if (!redundant_by_y[i]) {
const Constraint& c = x_cs[i];
- Topology_Adjusted_Scalar_Product_Sign sps(c);
+ const Topology_Adjusted_Scalar_Product_Sign sps(c);
dimension_type num_ruled_out_generators = 0;
for (Generator_System::const_iterator k = y_gs.begin(),
y_gs_end = y_gs.end(); k != y_gs_end; ++k) {
@@ -2210,7 +2209,7 @@ PPL::Polyhedron::simplify_using_context_assign(const Polyhedron& y) {
const Constraint& c = x_cs[j->constraint_index];
result_cs.insert(c);
lp.add_constraint(c);
- MIP_Problem_Status status = lp.solve();
+ const MIP_Problem_Status status = lp.solve();
if (status == UNFEASIBLE_MIP_PROBLEM) {
Polyhedron result_ph(x.topology(), x.space_dim, UNIVERSE);
result_ph.add_constraints(result_cs);
@@ -2395,7 +2394,7 @@ PPL::Polyhedron::poly_hull_assign(const Polyhedron& y) {
// If both generator systems are (fully) sorted, then we can merge
// them; otherwise we simply add the second to the first.
if (x.gen_sys.is_sorted()
- && y.gen_sys.is_sorted() && !y.has_pending_generators())
+ && y.gen_sys.is_sorted() && !y.has_pending_generators())
x.gen_sys.merge_rows_assign(y.gen_sys);
else
x.gen_sys.insert(y.gen_sys);
@@ -2451,7 +2450,7 @@ PPL::Polyhedron::poly_difference_assign(const Polyhedron& y) {
const Constraint_System& y_cs = y.constraints();
for (Constraint_System::const_iterator i = y_cs.begin(),
- y_cs_end = y_cs.end(); i != y_cs_end; ++i) {
+ y_cs_end = y_cs.end(); i != y_cs_end; ++i) {
const Constraint& c = *i;
PPL_ASSERT(!c.is_tautological());
PPL_ASSERT(!c.is_inconsistent());
@@ -2464,27 +2463,27 @@ PPL::Polyhedron::poly_difference_assign(const Polyhedron& y) {
if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
continue;
Polyhedron z = x;
- const Linear_Expression e = Linear_Expression(c);
+ const Linear_Expression e(c.expression());
switch (c.type()) {
case Constraint::NONSTRICT_INEQUALITY:
if (is_necessarily_closed())
- z.refine_no_check(e <= 0);
+ z.refine_no_check(e <= 0);
else
- z.refine_no_check(e < 0);
+ z.refine_no_check(e < 0);
break;
case Constraint::STRICT_INEQUALITY:
z.refine_no_check(e <= 0);
break;
case Constraint::EQUALITY:
if (is_necessarily_closed())
- // We have already filtered out the case
- // when `x' is included in `y': the result is `x'.
- return;
+ // We have already filtered out the case
+ // when `x' is included in `y': the result is `x'.
+ return;
else {
- Polyhedron w = x;
- w.refine_no_check(e < 0);
- new_polyhedron.poly_hull_assign(w);
- z.refine_no_check(e > 0);
+ Polyhedron w = x;
+ w.refine_no_check(e < 0);
+ new_polyhedron.poly_hull_assign(w);
+ z.refine_no_check(e > 0);
}
break;
}
@@ -2498,8 +2497,8 @@ PPL::Polyhedron::poly_difference_assign(const Polyhedron& y) {
void
PPL::Polyhedron::
affine_image(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("affine_image(v, e, d)", "d == 0");
@@ -2525,9 +2524,9 @@ affine_image(const Variable var,
// Generator_System::affine_image() requires the third argument
// to be a positive Coefficient.
if (denominator > 0)
- gen_sys.affine_image(var, expr, denominator);
+ gen_sys.affine_image(var, expr, denominator);
else
- gen_sys.affine_image(var, -expr, -denominator);
+ gen_sys.affine_image(var, -expr, -denominator);
}
if (constraints_are_up_to_date()) {
// To build the inverse transformation,
@@ -2536,17 +2535,17 @@ affine_image(const Variable var,
Linear_Expression inverse;
Coefficient_traits::const_reference c = expr.coefficient(var);
if (c > 0) {
- inverse = -expr;
- inverse.set_coefficient(var, denominator);
- con_sys.affine_preimage(var, inverse, c);
+ inverse = -expr;
+ inverse.set_coefficient(var, denominator);
+ con_sys.affine_preimage(var, inverse, c);
}
else {
- // The new denominator is negative: we negate everything once
- // more, as Constraint_System::affine_preimage() requires the
- // third argument to be positive.
- inverse = expr;
+ // The new denominator is negative: we negate everything once
+ // more, as Constraint_System::affine_preimage() requires the
+ // third argument to be positive.
+ inverse = expr;
inverse.set_coefficient(var, -denominator);
- con_sys.affine_preimage(var, inverse, -c);
+ con_sys.affine_preimage(var, inverse, -c);
}
}
}
@@ -2561,9 +2560,9 @@ affine_image(const Variable var,
// Generator_System::affine_image() requires the third argument
// to be a positive Coefficient.
if (denominator > 0)
- gen_sys.affine_image(var, expr, denominator);
+ gen_sys.affine_image(var, expr, denominator);
else
- gen_sys.affine_image(var, -expr, -denominator);
+ gen_sys.affine_image(var, -expr, -denominator);
clear_constraints_up_to_date();
clear_generators_minimized();
@@ -2578,8 +2577,8 @@ affine_image(const Variable var,
void
PPL::Polyhedron::
affine_preimage(const Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("affine_preimage(v, e, d)", "d == 0");
@@ -2604,9 +2603,9 @@ affine_preimage(const Variable var,
// Constraint_System::affine_preimage() requires the third argument
// to be a positive Coefficient.
if (denominator > 0)
- con_sys.affine_preimage(var, expr, denominator);
+ con_sys.affine_preimage(var, expr, denominator);
else
- con_sys.affine_preimage(var, -expr, -denominator);
+ con_sys.affine_preimage(var, -expr, -denominator);
}
if (generators_are_up_to_date()) {
// To build the inverse transformation,
@@ -2615,17 +2614,17 @@ affine_preimage(const Variable var,
Linear_Expression inverse;
Coefficient_traits::const_reference c = expr.coefficient(var);
if (c > 0) {
- inverse = -expr;
- inverse.set_coefficient(var, denominator);
- gen_sys.affine_image(var, inverse, c);
+ inverse = -expr;
+ inverse.set_coefficient(var, denominator);
+ gen_sys.affine_image(var, inverse, c);
}
else {
- // The new denominator is negative:
- // we negate everything once more, as Generator_System::affine_image()
- // requires the third argument to be positive.
- inverse = expr;
+ // The new denominator is negative:
+ // we negate everything once more, as Generator_System::affine_image()
+ // requires the third argument to be positive.
+ inverse = expr;
inverse.set_coefficient(var, -denominator);
- gen_sys.affine_image(var, inverse, -c);
+ gen_sys.affine_image(var, inverse, -c);
}
}
}
@@ -2654,9 +2653,9 @@ affine_preimage(const Variable var,
void
PPL::Polyhedron::
bounded_affine_image(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("bounded_affine_image(v, lb, ub, d)", "d == 0");
@@ -2666,17 +2665,17 @@ bounded_affine_image(const Variable var,
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "v", var);
+ "v", var);
// The dimension of `lb_expr' and `ub_expr' should not be
// greater than the dimension of `*this'.
const dimension_type lb_space_dim = lb_expr.space_dimension();
if (space_dim < lb_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "lb", lb_expr);
+ "lb", lb_expr);
const dimension_type ub_space_dim = ub_expr.space_dimension();
if (space_dim < ub_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "ub", ub_expr);
+ "ub", ub_expr);
// Any image of an empty polyhedron is empty.
if (marked_empty())
@@ -2686,9 +2685,9 @@ bounded_affine_image(const Variable var,
if (lb_expr.coefficient(var) == 0) {
// Here `var' may only occur in `ub_expr'.
generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
if (denominator > 0)
refine_no_check(lb_expr <= denominator*var);
else
@@ -2697,9 +2696,9 @@ bounded_affine_image(const Variable var,
else if (ub_expr.coefficient(var) == 0) {
// Here `var' only occurs in `lb_expr'.
generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
if (denominator > 0)
refine_no_check(denominator*var <= ub_expr);
else
@@ -2714,9 +2713,9 @@ bounded_affine_image(const Variable var,
refine_no_check(denominator*new_var == ub_expr);
// Apply the affine lower bound.
generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
if (!marked_empty())
// Now apply the affine upper bound, as recorded in `new_var'.
refine_no_check(new_var >= var);
@@ -2729,9 +2728,9 @@ bounded_affine_image(const Variable var,
void
PPL::Polyhedron::
bounded_affine_preimage(const Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("bounded_affine_preimage(v, lb, ub, d)", "d == 0");
@@ -2741,17 +2740,17 @@ bounded_affine_preimage(const Variable var,
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "v", var);
+ "v", var);
// The dimension of `lb_expr' and `ub_expr' should not be
// greater than the dimension of `*this'.
const dimension_type lb_space_dim = lb_expr.space_dimension();
if (space_dim < lb_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "lb", lb_expr);
+ "lb", lb_expr);
const dimension_type ub_space_dim = ub_expr.space_dimension();
if (space_dim < ub_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "ub", ub_expr);
+ "ub", ub_expr);
// Any preimage of an empty polyhedron is empty.
if (marked_empty())
@@ -2800,9 +2799,9 @@ bounded_affine_preimage(const Variable var,
void
PPL::Polyhedron::
generalized_affine_image(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("generalized_affine_image(v, r, e, d)", "d == 0");
@@ -2812,22 +2811,22 @@ generalized_affine_image(const Variable var,
// of `*this'.
if (space_dim < expr.space_dimension())
throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "e", expr);
+ "e", expr);
// `var' should be one of the dimensions of the polyhedron.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "v", var);
+ "v", var);
// Strict relation symbols are only admitted for NNC polyhedra.
if (is_necessarily_closed()
&& (relsym == LESS_THAN || relsym == GREATER_THAN))
throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is a strict relation symbol");
+ "r is a strict relation symbol");
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_image(v, r, e, d)",
- "r is the disequality relation symbol");
+ "r is the disequality relation symbol");
// First compute the affine image.
affine_image(var, expr, denominator);
@@ -2866,7 +2865,7 @@ generalized_affine_image(const Variable var,
// newly introduced ray.
for (dimension_type i = gen_sys.num_rows(); i-- > 0; ) {
const Generator& gen_i = gen_sys.sys.rows[i];
- if (gen_i.is_point()) {
+ if (gen_i.is_point()) {
// Add a copy of `gen_i' at the end of the system.
// Note: copying is really meant, to avoid undefined behavior.
gen_sys.sys.rows.push_back(Generator(gen_i));
@@ -2884,7 +2883,7 @@ generalized_affine_image(const Variable var,
new_gen.expr -= var;
new_gen.expr.normalize();
PPL_ASSERT(new_gen.OK());
- }
+ }
}
// Sortedness no longer hold.
gen_sys.set_sorted(false);
@@ -2908,35 +2907,35 @@ generalized_affine_image(const Variable var,
void
PPL::Polyhedron::
generalized_affine_preimage(const Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
// The denominator cannot be zero.
if (denominator == 0)
throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "d == 0");
+ "d == 0");
// Dimension-compatibility checks.
// The dimension of `expr' should not be greater than the dimension
// of `*this'.
if (space_dim < expr.space_dimension())
throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "e", expr);
+ "e", expr);
// `var' should be one of the dimensions of the polyhedron.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "v", var);
+ "v", var);
// Strict relation symbols are only admitted for NNC polyhedra.
if (is_necessarily_closed()
&& (relsym == LESS_THAN || relsym == GREATER_THAN))
throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is a strict relation symbol");
+ "r is a strict relation symbol");
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
- "r is the disequality relation symbol");
+ "r is the disequality relation symbol");
// Check whether the affine relation is indeed an affine function.
if (relsym == EQUAL) {
@@ -2969,15 +2968,15 @@ generalized_affine_preimage(const Variable var,
// computed as the image of its inverse relation.
const Coefficient& var_coefficient = expr.coefficient(var);
if (var_coefficient != 0) {
- Linear_Expression inverse_expr
+ const Linear_Expression inverse_expr
= expr - (denominator + var_coefficient) * var;
PPL_DIRTY_TEMP_COEFFICIENT(inverse_denominator);
neg_assign(inverse_denominator, var_coefficient);
- Relation_Symbol inverse_relsym
+ const Relation_Symbol inverse_relsym
= (sgn(denominator) == sgn(inverse_denominator))
? relsym : reversed_relsym;
generalized_affine_image(var, inverse_relsym, inverse_expr,
- inverse_denominator);
+ inverse_denominator);
return;
}
@@ -3011,31 +3010,31 @@ generalized_affine_preimage(const Variable var,
void
PPL::Polyhedron::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
// Dimension-compatibility checks.
// The dimension of `lhs' should not be greater than the dimension
// of `*this'.
dimension_type lhs_space_dim = lhs.space_dimension();
if (space_dim < lhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
+ "e1", lhs);
// The dimension of `rhs' should not be greater than the dimension
// of `*this'.
const dimension_type rhs_space_dim = rhs.space_dimension();
if (space_dim < rhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
+ "e2", rhs);
// Strict relation symbols are only admitted for NNC polyhedra.
if (is_necessarily_closed()
&& (relsym == LESS_THAN || relsym == GREATER_THAN))
throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is a strict relation symbol");
+ "r is a strict relation symbol");
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_image(e1, r, e2)",
- "r is the disequality relation symbol");
+ "r is the disequality relation symbol");
// Any image of an empty polyhedron is empty.
if (marked_empty())
@@ -3101,22 +3100,22 @@ PPL::Polyhedron::generalized_affine_image(const Linear_Expression& lhs,
// (we force minimization because we will need the generators).
switch (relsym) {
case LESS_THAN:
- refine_no_check(lhs < new_var);
- break;
+ refine_no_check(lhs < new_var);
+ break;
case LESS_OR_EQUAL:
- refine_no_check(lhs <= new_var);
- break;
+ refine_no_check(lhs <= new_var);
+ break;
case EQUAL:
- refine_no_check(lhs == new_var);
- break;
+ refine_no_check(lhs == new_var);
+ break;
case GREATER_OR_EQUAL:
- refine_no_check(lhs >= new_var);
- break;
+ refine_no_check(lhs >= new_var);
+ break;
case GREATER_THAN:
- refine_no_check(lhs > new_var);
- break;
+ refine_no_check(lhs > new_var);
+ break;
case NOT_EQUAL:
- // The NOT_EQUAL case has been already dealt with.
+ // The NOT_EQUAL case has been already dealt with.
PPL_UNREACHABLE;
break;
}
@@ -3165,31 +3164,31 @@ PPL::Polyhedron::generalized_affine_image(const Linear_Expression& lhs,
void
PPL::Polyhedron::generalized_affine_preimage(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
// Dimension-compatibility checks.
// The dimension of `lhs' should not be greater than the dimension
// of `*this'.
dimension_type lhs_space_dim = lhs.space_dimension();
if (space_dim < lhs_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
- "e1", lhs);
+ "e1", lhs);
// The dimension of `rhs' should not be greater than the dimension
// of `*this'.
const dimension_type rhs_space_dim = rhs.space_dimension();
if (space_dim < rhs_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(e1, r, e2)",
- "e2", rhs);
+ "e2", rhs);
// Strict relation symbols are only admitted for NNC polyhedra.
if (is_necessarily_closed()
&& (relsym == LESS_THAN || relsym == GREATER_THAN))
throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
- "r is a strict relation symbol");
+ "r is a strict relation symbol");
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_preimage(e1, r, e2)",
- "r is the disequality relation symbol");
+ "r is the disequality relation symbol");
// Any preimage of an empty polyhedron is empty.
if (marked_empty())
@@ -3234,22 +3233,22 @@ PPL::Polyhedron::generalized_affine_preimage(const Linear_Expression& lhs,
// the right hand side as dictated by `relsym'.
switch (relsym) {
case LESS_THAN:
- refine_no_check(new_var < rhs);
- break;
+ refine_no_check(new_var < rhs);
+ break;
case LESS_OR_EQUAL:
- refine_no_check(new_var <= rhs);
- break;
+ refine_no_check(new_var <= rhs);
+ break;
case EQUAL:
- refine_no_check(new_var == rhs);
- break;
+ refine_no_check(new_var == rhs);
+ break;
case GREATER_OR_EQUAL:
- refine_no_check(new_var >= rhs);
- break;
+ refine_no_check(new_var >= rhs);
+ break;
case GREATER_THAN:
- refine_no_check(new_var > rhs);
- break;
+ refine_no_check(new_var > rhs);
+ break;
case NOT_EQUAL:
- // The NOT_EQUAL case has been already dealt with.
+ // The NOT_EQUAL case has been already dealt with.
PPL_UNREACHABLE;
break;
}
@@ -3333,31 +3332,31 @@ PPL::Polyhedron::time_elapse_assign(const Polyhedron& y) {
Generator& g = gs.sys.rows[i];
switch (g.type()) {
case Generator::POINT:
- // The points of `gs' can be erased,
- // since their role can be played by closure points.
- --gs_num_rows;
+ // The points of `gs' can be erased,
+ // since their role can be played by closure points.
+ --gs_num_rows;
swap(g, gs.sys.rows[gs_num_rows]);
- break;
+ break;
case Generator::CLOSURE_POINT:
- {
- // If it is the origin, erase it.
- if (g.expr.all_homogeneous_terms_are_zero()) {
- --gs_num_rows;
+ {
+ // If it is the origin, erase it.
+ if (g.expr.all_homogeneous_terms_are_zero()) {
+ --gs_num_rows;
swap(g, gs.sys.rows[gs_num_rows]);
- }
- // Otherwise, transform the closure point into a ray.
- else {
- g.expr.set_inhomogeneous_term(0);
- // Enforce normalization.
- g.expr.normalize();
+ }
+ // Otherwise, transform the closure point into a ray.
+ else {
+ g.expr.set_inhomogeneous_term(0);
+ // Enforce normalization.
+ g.expr.normalize();
PPL_ASSERT(g.OK());
- }
- }
- break;
+ }
+ }
+ break;
case Generator::RAY:
case Generator::LINE:
- // For rays and lines, nothing to be done.
- break;
+ // For rays and lines, nothing to be done.
+ break;
}
}
}
@@ -3466,8 +3465,8 @@ PPL::Polyhedron::frequency(const Linear_Expression& expr,
if (gen_sys_i.is_line_or_ray()) {
const int sp_sign = sgn(sp);
if (sp_sign != 0)
- // `expr' is unbounded in `*this'.
- return false;
+ // `expr' is unbounded in `*this'.
+ return false;
}
else {
// We have a point or a closure point.
@@ -3478,9 +3477,9 @@ PPL::Polyhedron::frequency(const Linear_Expression& expr,
assign_r(candidate.get_den(), gen_sys_i.expr.inhomogeneous_term(), ROUND_NOT_NEEDED);
candidate.canonicalize();
if (first_candidate) {
- // We have a (new) candidate value.
- first_candidate = false;
- value = candidate;
+ // We have a (new) candidate value.
+ first_candidate = false;
+ value = candidate;
}
else if (candidate != value)
return false;
@@ -3533,11 +3532,11 @@ PPL::Polyhedron::topological_closure_assign() {
for (dimension_type i = con_sys.num_rows(); i-- > 0; ) {
Constraint& c = con_sys.sys.rows[i];
if (c.epsilon_coefficient() < 0 && !c.is_tautological()) {
- c.set_epsilon_coefficient(0);
- // Enforce normalization.
- c.expr.normalize();
+ c.set_epsilon_coefficient(0);
+ // Enforce normalization.
+ c.expr.normalize();
PPL_ASSERT(c.OK());
- changed = true;
+ changed = true;
}
}
@@ -3598,9 +3597,9 @@ PPL::operator==(const Polyhedron& x, const Polyhedron& y) {
default:
if (x.is_included_in(y))
if (x.marked_empty())
- return y.is_empty();
+ return y.is_empty();
else
- return y.is_included_in(x);
+ return y.is_included_in(x);
else
return false;
}
diff --git a/src/Polyhedron_simplify.templates.hh b/src/Polyhedron_simplify.templates.hh
deleted file mode 100644
index bd17b25..0000000
--- a/src/Polyhedron_simplify.templates.hh
+++ /dev/null
@@ -1,340 +0,0 @@
-/* Polyhedron class implementation: simplify().
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Polyhedron_simplify_templates_hh
-#define PPL_Polyhedron_simplify_templates_hh 1
-
-#include "Bit_Matrix.defs.hh"
-#include "Polyhedron.defs.hh"
-#include <cstddef>
-#include <limits>
-
-namespace Parma_Polyhedra_Library {
-
-/*!
- \return
- The rank of \p sys.
-
- \param sys
- The system to simplify: it will be modified;
-
- \param sat
- The saturation matrix corresponding to \p sys.
-
- \p sys may be modified by swapping some of its rows and by possibly
- removing some of them, if they turn out to be redundant.
-
- If \p sys is a system of constraints, then the rows of \p sat are
- indexed by constraints and its columns are indexed by generators;
- otherwise, if \p sys is a system of generators, then the rows of
- \p sat are indexed by generators and its columns by constraints.
-
- Given a system of constraints or a system of generators, this function
- simplifies it using Gauss' elimination method (to remove redundant
- equalities/lines), deleting redundant inequalities/rays/points and
- making back-substitution.
- The explanation that follows assumes that \p sys is a system of
- constraints. For the case when \p sys is a system of generators,
- a similar explanation can be obtain by applying duality.
-
- The explanation relies on the notion of <EM>redundancy</EM>.
- (See the Introduction.)
-
- First we make some observations that can help the reader
- in understanding the function:
-
- Proposition: An inequality that is saturated by all the generators
- can be transformed to an equality.
-
- In fact, by combining any number of generators that saturate the
- constraints, we obtain a generator that saturates the constraints too:
- \f[
- \langle \vect{c}, \vect{r}_1 \rangle = 0 \land
- \langle \vect{c}, \vect{r}_2 \rangle = 0
- \Rightarrow
- \langle \vect{c}, (\lambda_1 \vect{r}_1 + \lambda_2 \vect{r}_2) \rangle =
- \lambda_1 \langle \vect{c}, \vect{r}_1 \rangle
- + \lambda_2 \langle \vect{c}, \vect{r}_2 \rangle
- = 0,
- \f]
- where \f$\lambda_1, \lambda_2\f$ can be any real number.
-*/
-template <typename Linear_System1>
-dimension_type
-Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
-
- typedef typename Linear_System1::row_type sys_row_type;
-
- dimension_type num_rows = sys.num_rows();
- const dimension_type num_cols_sat = sat.num_columns();
-
- using std::swap;
-
- // Looking for the first inequality in `sys'.
- dimension_type num_lines_or_equalities = 0;
- while (num_lines_or_equalities < num_rows
- && sys[num_lines_or_equalities].is_line_or_equality())
- ++num_lines_or_equalities;
-
- // `num_saturators[i]' will contain the number of generators
- // that saturate the constraint `sys[i]'.
- if (num_rows > simplify_num_saturators_size) {
- delete [] simplify_num_saturators_p;
- simplify_num_saturators_p = 0;
- simplify_num_saturators_size = 0;
- const size_t max_size
- = std::numeric_limits<size_t>::max() / sizeof(dimension_type);
- const size_t new_size = compute_capacity(num_rows, max_size);
- simplify_num_saturators_p = new dimension_type[new_size];
- simplify_num_saturators_size = new_size;
- }
- dimension_type* num_saturators = simplify_num_saturators_p;
-
- bool sys_sorted = sys.is_sorted();
-
- // Computing the number of saturators for each inequality,
- // possibly identifying and swapping those that happen to be
- // equalities (see Proposition above).
- for (dimension_type i = num_lines_or_equalities; i < num_rows; ++i) {
- if (sat[i].empty()) {
- // The constraint `sys_rows[i]' is saturated by all the generators.
- // Thus, either it is already an equality or it can be transformed
- // to an equality (see Proposition above).
- sys.sys.rows[i].set_is_line_or_equality();
- // Note: simple normalization already holds.
- sys.sys.rows[i].sign_normalize();
- // We also move it just after all the other equalities,
- // so that system `sys_rows' keeps its partial sortedness.
- if (i != num_lines_or_equalities) {
- sys.sys.rows[i].m_swap(sys.sys.rows[num_lines_or_equalities]);
- swap(sat[i], sat[num_lines_or_equalities]);
- swap(num_saturators[i], num_saturators[num_lines_or_equalities]);
- }
- ++num_lines_or_equalities;
- // `sys' is no longer sorted.
- sys_sorted = false;
- }
- else
- // There exists a generator which does not saturate `sys[i]',
- // so that `sys[i]' is indeed an inequality.
- // We store the number of its saturators.
- num_saturators[i] = num_cols_sat - sat[i].count_ones();
- }
-
- sys.set_sorted(sys_sorted);
- PPL_ASSERT(sys.OK());
-
- // At this point, all the equalities of `sys' (included those
- // inequalities that we just transformed to equalities) have
- // indexes between 0 and `num_lines_or_equalities' - 1,
- // which is the property needed by method gauss().
- // We can simplify the system of equalities, obtaining the rank
- // of `sys' as result.
- const dimension_type rank = sys.gauss(num_lines_or_equalities);
-
- // Now the irredundant equalities of `sys' have indexes from 0
- // to `rank' - 1, whereas the equalities having indexes from `rank'
- // to `num_lines_or_equalities' - 1 are all redundant.
- // (The inequalities in `sys' have been left untouched.)
- // The rows containing equalities are not sorted.
-
- if (rank < num_lines_or_equalities) {
- // We identified some redundant equalities.
- // Moving them at the bottom of `sys':
- // - index `redundant' runs through the redundant equalities
- // - index `erasing' identifies the first row that should
- // be erased after this loop.
- // Note that we exit the loop either because we have removed all
- // redundant equalities or because we have moved all the
- // inequalities.
- for (dimension_type redundant = rank,
- erasing = num_rows;
- redundant < num_lines_or_equalities
- && erasing > num_lines_or_equalities;
- ) {
- --erasing;
- sys.remove_row(redundant);
- swap(sat[redundant], sat[erasing]);
- swap(num_saturators[redundant], num_saturators[erasing]);
- ++redundant;
- }
- // Adjusting the value of `num_rows' to the number of meaningful
- // rows of `sys': `num_lines_or_equalities' - `rank' is the number of
- // redundant equalities moved to the bottom of `sys', which are
- // no longer meaningful.
- num_rows -= num_lines_or_equalities - rank;
-
- // If the above loop exited because it moved all inequalities, it may not
- // have removed all the rendundant rows.
- sys.remove_trailing_rows(sys.num_rows() - num_rows);
-
- PPL_ASSERT(sys.num_rows() == num_rows);
-
- sat.remove_trailing_rows(num_lines_or_equalities - rank);
-
- // Adjusting the value of `num_lines_or_equalities'.
- num_lines_or_equalities = rank;
- }
-
- const dimension_type old_num_rows = sys.num_rows();
-
- // Now we use the definition of redundancy (given in the Introduction)
- // to remove redundant inequalities.
-
- // First we check the saturation rule, which provides a necessary
- // condition for an inequality to be irredundant (i.e., it provides
- // a sufficient condition for identifying redundant inequalities).
- // Let
- //
- // num_saturators[i] = num_sat_lines[i] + num_sat_rays_or_points[i],
- // dim_lin_space = num_irredundant_lines,
- // dim_ray_space
- // = dim_vector_space - num_irredundant_equalities - dim_lin_space
- // = num_columns - 1 - num_lines_or_equalities - dim_lin_space,
- // min_sat_rays_or_points = dim_ray_space.
- //
- // An inequality saturated by less than `dim_ray_space' _rays/points_
- // is redundant. Thus we have the implication
- //
- // (num_saturators[i] - num_sat_lines[i] < dim_ray_space)
- // ==>
- // redundant(sys[i]).
- //
- // Moreover, since every line saturates all inequalities, we also have
- // dim_lin_space = num_sat_lines[i]
- // so that we can rewrite the condition above as follows:
- //
- // (num_saturators[i] < num_columns - num_lines_or_equalities - 1)
- // ==>
- // redundant(sys[i]).
- //
- const dimension_type sys_num_columns
- = sys.topology() == NECESSARILY_CLOSED ? sys.space_dimension() + 1
- : sys.space_dimension() + 2;
- const dimension_type min_saturators
- = sys_num_columns - num_lines_or_equalities - 1;
- for (dimension_type i = num_lines_or_equalities; i < num_rows; ) {
- if (num_saturators[i] < min_saturators) {
- // The inequality `sys[i]' is redundant.
- --num_rows;
- sys.remove_row(i);
- swap(sat[i], sat[num_rows]);
- swap(num_saturators[i], num_saturators[num_rows]);
- }
- else
- ++i;
- }
-
- // Now we check the independence rule.
- for (dimension_type i = num_lines_or_equalities; i < num_rows; ) {
- bool redundant = false;
- // NOTE: in the inner loop, index `j' runs through _all_ the
- // inequalities and we do not test if `sat[i]' is strictly
- // contained into `sat[j]'. Experimentation has shown that this
- // is faster than having `j' only run through the indexes greater
- // than `i' and also doing the test `strict_subset(sat[i],
- // sat[k])'.
- for (dimension_type j = num_lines_or_equalities; j < num_rows; ) {
- if (i == j)
- // We want to compare different rows of `sys'.
- ++j;
- else {
- // Let us recall that each generator lies on a facet of the
- // polyhedron (see the Introduction).
- // Given two constraints `c_1' and `c_2', if there are `m'
- // generators lying on the hyper-plane corresponding to `c_1',
- // the same `m' generators lie on the hyper-plane
- // corresponding to `c_2', too, and there is another one lying
- // on the latter but not on the former, then `c_2' is more
- // restrictive than `c_1', i.e., `c_1' is redundant.
- bool strict_subset;
- if (subset_or_equal(sat[j], sat[i], strict_subset))
- if (strict_subset) {
- // All the saturators of the inequality `sys[i]' are
- // saturators of the inequality `sys[j]' too,
- // and there exists at least one saturator of `sys[j]'
- // which is not a saturator of `sys[i]'.
- // It follows that inequality `sys[i]' is redundant.
- redundant = true;
- break;
- }
- else {
- // We have `sat[j] == sat[i]'. Hence inequalities
- // `sys[i]' and `sys[j]' are saturated by the same set of
- // generators. Then we can remove either one of the two
- // inequalities: we remove `sys[j]'.
- --num_rows;
- sys.remove_row(j);
- PPL_ASSERT(sys.num_rows() == num_rows);
- swap(sat[j], sat[num_rows]);
- swap(num_saturators[j], num_saturators[num_rows]);
- }
- else
- // If we reach this point then we know that `sat[i]' does
- // not contain (and is different from) `sat[j]', so that
- // `sys[i]' is not made redundant by inequality `sys[j]'.
- ++j;
- }
- }
- if (redundant) {
- // The inequality `sys[i]' is redundant.
- --num_rows;
- sys.remove_row(i);
- PPL_ASSERT(sys.num_rows() == num_rows);
- swap(sat[i], sat[num_rows]);
- swap(num_saturators[i], num_saturators[num_rows]);
- }
- else
- // The inequality `sys[i]' is not redundant.
- ++i;
- }
-
- // Here we physically remove the `sat' rows corresponding to the redundant
- // inequalities previously removed from `sys'.
- sat.remove_trailing_rows(old_num_rows - num_rows);
-
- // At this point the first `num_lines_or_equalities' rows of 'sys'
- // represent the irredundant equalities, while the remaining rows
- // (i.e., those having indexes from `num_lines_or_equalities' to
- // `num_rows' - 1) represent the irredundant inequalities.
-#ifndef NDEBUG
- // Check if the flag is set (that of the equalities is already set).
- for (dimension_type i = num_lines_or_equalities; i < num_rows; ++i)
- PPL_ASSERT(sys[i].is_ray_or_point_or_inequality());
-#endif
-
- // Finally, since now the sub-system (of `sys') of the irredundant
- // equalities is in triangular form, we back substitute each
- // variables with the expression obtained considering the equalities
- // starting from the last one.
- sys.back_substitute(num_lines_or_equalities);
-
- // The returned value is the number of irredundant equalities i.e.,
- // the rank of the sub-system of `sys' containing only equalities.
- // (See the Introduction for definition of lineality space dimension.)
- return num_lines_or_equalities;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Polyhedron_simplify_templates_hh)
diff --git a/src/Polyhedron_simplify_templates.hh b/src/Polyhedron_simplify_templates.hh
new file mode 100644
index 0000000..ce41ac4
--- /dev/null
+++ b/src/Polyhedron_simplify_templates.hh
@@ -0,0 +1,340 @@
+/* Polyhedron class implementation: simplify().
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_simplify_templates_hh
+#define PPL_Polyhedron_simplify_templates_hh 1
+
+#include "Bit_Matrix_defs.hh"
+#include "Polyhedron_defs.hh"
+#include <cstddef>
+#include <limits>
+
+namespace Parma_Polyhedra_Library {
+
+/*!
+ \return
+ The rank of \p sys.
+
+ \param sys
+ The system to simplify: it will be modified;
+
+ \param sat
+ The saturation matrix corresponding to \p sys.
+
+ \p sys may be modified by swapping some of its rows and by possibly
+ removing some of them, if they turn out to be redundant.
+
+ If \p sys is a system of constraints, then the rows of \p sat are
+ indexed by constraints and its columns are indexed by generators;
+ otherwise, if \p sys is a system of generators, then the rows of
+ \p sat are indexed by generators and its columns by constraints.
+
+ Given a system of constraints or a system of generators, this function
+ simplifies it using Gauss' elimination method (to remove redundant
+ equalities/lines), deleting redundant inequalities/rays/points and
+ making back-substitution.
+ The explanation that follows assumes that \p sys is a system of
+ constraints. For the case when \p sys is a system of generators,
+ a similar explanation can be obtain by applying duality.
+
+ The explanation relies on the notion of <EM>redundancy</EM>.
+ (See the Introduction.)
+
+ First we make some observations that can help the reader
+ in understanding the function:
+
+ Proposition: An inequality that is saturated by all the generators
+ can be transformed to an equality.
+
+ In fact, by combining any number of generators that saturate the
+ constraints, we obtain a generator that saturates the constraints too:
+ \f[
+ \langle \vect{c}, \vect{r}_1 \rangle = 0 \land
+ \langle \vect{c}, \vect{r}_2 \rangle = 0
+ \Rightarrow
+ \langle \vect{c}, (\lambda_1 \vect{r}_1 + \lambda_2 \vect{r}_2) \rangle =
+ \lambda_1 \langle \vect{c}, \vect{r}_1 \rangle
+ + \lambda_2 \langle \vect{c}, \vect{r}_2 \rangle
+ = 0,
+ \f]
+ where \f$\lambda_1, \lambda_2\f$ can be any real number.
+*/
+template <typename Linear_System1>
+dimension_type
+Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
+
+ typedef typename Linear_System1::row_type sys_row_type;
+
+ dimension_type num_rows = sys.num_rows();
+ const dimension_type num_cols_sat = sat.num_columns();
+
+ using std::swap;
+
+ // Looking for the first inequality in `sys'.
+ dimension_type num_lines_or_equalities = 0;
+ while (num_lines_or_equalities < num_rows
+ && sys[num_lines_or_equalities].is_line_or_equality())
+ ++num_lines_or_equalities;
+
+ // `num_saturators[i]' will contain the number of generators
+ // that saturate the constraint `sys[i]'.
+ if (num_rows > simplify_num_saturators_size) {
+ delete [] simplify_num_saturators_p;
+ simplify_num_saturators_p = 0;
+ simplify_num_saturators_size = 0;
+ const size_t max_size
+ = std::numeric_limits<size_t>::max() / sizeof(dimension_type);
+ const size_t new_size = compute_capacity(num_rows, max_size);
+ simplify_num_saturators_p = new dimension_type[new_size];
+ simplify_num_saturators_size = new_size;
+ }
+ dimension_type* const num_saturators = simplify_num_saturators_p;
+
+ bool sys_sorted = sys.is_sorted();
+
+ // Computing the number of saturators for each inequality,
+ // possibly identifying and swapping those that happen to be
+ // equalities (see Proposition above).
+ for (dimension_type i = num_lines_or_equalities; i < num_rows; ++i) {
+ if (sat[i].empty()) {
+ // The constraint `sys_rows[i]' is saturated by all the generators.
+ // Thus, either it is already an equality or it can be transformed
+ // to an equality (see Proposition above).
+ sys.sys.rows[i].set_is_line_or_equality();
+ // Note: simple normalization already holds.
+ sys.sys.rows[i].sign_normalize();
+ // We also move it just after all the other equalities,
+ // so that system `sys_rows' keeps its partial sortedness.
+ if (i != num_lines_or_equalities) {
+ sys.sys.rows[i].m_swap(sys.sys.rows[num_lines_or_equalities]);
+ swap(sat[i], sat[num_lines_or_equalities]);
+ swap(num_saturators[i], num_saturators[num_lines_or_equalities]);
+ }
+ ++num_lines_or_equalities;
+ // `sys' is no longer sorted.
+ sys_sorted = false;
+ }
+ else
+ // There exists a generator which does not saturate `sys[i]',
+ // so that `sys[i]' is indeed an inequality.
+ // We store the number of its saturators.
+ num_saturators[i] = num_cols_sat - sat[i].count_ones();
+ }
+
+ sys.set_sorted(sys_sorted);
+ PPL_ASSERT(sys.OK());
+
+ // At this point, all the equalities of `sys' (included those
+ // inequalities that we just transformed to equalities) have
+ // indexes between 0 and `num_lines_or_equalities' - 1,
+ // which is the property needed by method gauss().
+ // We can simplify the system of equalities, obtaining the rank
+ // of `sys' as result.
+ const dimension_type rank = sys.gauss(num_lines_or_equalities);
+
+ // Now the irredundant equalities of `sys' have indexes from 0
+ // to `rank' - 1, whereas the equalities having indexes from `rank'
+ // to `num_lines_or_equalities' - 1 are all redundant.
+ // (The inequalities in `sys' have been left untouched.)
+ // The rows containing equalities are not sorted.
+
+ if (rank < num_lines_or_equalities) {
+ // We identified some redundant equalities.
+ // Moving them at the bottom of `sys':
+ // - index `redundant' runs through the redundant equalities
+ // - index `erasing' identifies the first row that should
+ // be erased after this loop.
+ // Note that we exit the loop either because we have removed all
+ // redundant equalities or because we have moved all the
+ // inequalities.
+ for (dimension_type redundant = rank,
+ erasing = num_rows;
+ redundant < num_lines_or_equalities
+ && erasing > num_lines_or_equalities;
+ ) {
+ --erasing;
+ sys.remove_row(redundant);
+ swap(sat[redundant], sat[erasing]);
+ swap(num_saturators[redundant], num_saturators[erasing]);
+ ++redundant;
+ }
+ // Adjusting the value of `num_rows' to the number of meaningful
+ // rows of `sys': `num_lines_or_equalities' - `rank' is the number of
+ // redundant equalities moved to the bottom of `sys', which are
+ // no longer meaningful.
+ num_rows -= num_lines_or_equalities - rank;
+
+ // If the above loop exited because it moved all inequalities, it may not
+ // have removed all the rendundant rows.
+ sys.remove_trailing_rows(sys.num_rows() - num_rows);
+
+ PPL_ASSERT(sys.num_rows() == num_rows);
+
+ sat.remove_trailing_rows(num_lines_or_equalities - rank);
+
+ // Adjusting the value of `num_lines_or_equalities'.
+ num_lines_or_equalities = rank;
+ }
+
+ const dimension_type old_num_rows = sys.num_rows();
+
+ // Now we use the definition of redundancy (given in the Introduction)
+ // to remove redundant inequalities.
+
+ // First we check the saturation rule, which provides a necessary
+ // condition for an inequality to be irredundant (i.e., it provides
+ // a sufficient condition for identifying redundant inequalities).
+ // Let
+ //
+ // num_saturators[i] = num_sat_lines[i] + num_sat_rays_or_points[i],
+ // dim_lin_space = num_irredundant_lines,
+ // dim_ray_space
+ // = dim_vector_space - num_irredundant_equalities - dim_lin_space
+ // = num_columns - 1 - num_lines_or_equalities - dim_lin_space,
+ // min_sat_rays_or_points = dim_ray_space.
+ //
+ // An inequality saturated by less than `dim_ray_space' _rays/points_
+ // is redundant. Thus we have the implication
+ //
+ // (num_saturators[i] - num_sat_lines[i] < dim_ray_space)
+ // ==>
+ // redundant(sys[i]).
+ //
+ // Moreover, since every line saturates all inequalities, we also have
+ // dim_lin_space = num_sat_lines[i]
+ // so that we can rewrite the condition above as follows:
+ //
+ // (num_saturators[i] < num_columns - num_lines_or_equalities - 1)
+ // ==>
+ // redundant(sys[i]).
+ //
+ const dimension_type sys_num_columns
+ = sys.topology() == NECESSARILY_CLOSED ? sys.space_dimension() + 1
+ : sys.space_dimension() + 2;
+ const dimension_type min_saturators
+ = sys_num_columns - num_lines_or_equalities - 1;
+ for (dimension_type i = num_lines_or_equalities; i < num_rows; ) {
+ if (num_saturators[i] < min_saturators) {
+ // The inequality `sys[i]' is redundant.
+ --num_rows;
+ sys.remove_row(i);
+ swap(sat[i], sat[num_rows]);
+ swap(num_saturators[i], num_saturators[num_rows]);
+ }
+ else
+ ++i;
+ }
+
+ // Now we check the independence rule.
+ for (dimension_type i = num_lines_or_equalities; i < num_rows; ) {
+ bool redundant = false;
+ // NOTE: in the inner loop, index `j' runs through _all_ the
+ // inequalities and we do not test if `sat[i]' is strictly
+ // contained into `sat[j]'. Experimentation has shown that this
+ // is faster than having `j' only run through the indexes greater
+ // than `i' and also doing the test `strict_subset(sat[i],
+ // sat[k])'.
+ for (dimension_type j = num_lines_or_equalities; j < num_rows; ) {
+ if (i == j)
+ // We want to compare different rows of `sys'.
+ ++j;
+ else {
+ // Let us recall that each generator lies on a facet of the
+ // polyhedron (see the Introduction).
+ // Given two constraints `c_1' and `c_2', if there are `m'
+ // generators lying on the hyper-plane corresponding to `c_1',
+ // the same `m' generators lie on the hyper-plane
+ // corresponding to `c_2', too, and there is another one lying
+ // on the latter but not on the former, then `c_2' is more
+ // restrictive than `c_1', i.e., `c_1' is redundant.
+ bool strict_subset;
+ if (subset_or_equal(sat[j], sat[i], strict_subset))
+ if (strict_subset) {
+ // All the saturators of the inequality `sys[i]' are
+ // saturators of the inequality `sys[j]' too,
+ // and there exists at least one saturator of `sys[j]'
+ // which is not a saturator of `sys[i]'.
+ // It follows that inequality `sys[i]' is redundant.
+ redundant = true;
+ break;
+ }
+ else {
+ // We have `sat[j] == sat[i]'. Hence inequalities
+ // `sys[i]' and `sys[j]' are saturated by the same set of
+ // generators. Then we can remove either one of the two
+ // inequalities: we remove `sys[j]'.
+ --num_rows;
+ sys.remove_row(j);
+ PPL_ASSERT(sys.num_rows() == num_rows);
+ swap(sat[j], sat[num_rows]);
+ swap(num_saturators[j], num_saturators[num_rows]);
+ }
+ else
+ // If we reach this point then we know that `sat[i]' does
+ // not contain (and is different from) `sat[j]', so that
+ // `sys[i]' is not made redundant by inequality `sys[j]'.
+ ++j;
+ }
+ }
+ if (redundant) {
+ // The inequality `sys[i]' is redundant.
+ --num_rows;
+ sys.remove_row(i);
+ PPL_ASSERT(sys.num_rows() == num_rows);
+ swap(sat[i], sat[num_rows]);
+ swap(num_saturators[i], num_saturators[num_rows]);
+ }
+ else
+ // The inequality `sys[i]' is not redundant.
+ ++i;
+ }
+
+ // Here we physically remove the `sat' rows corresponding to the redundant
+ // inequalities previously removed from `sys'.
+ sat.remove_trailing_rows(old_num_rows - num_rows);
+
+ // At this point the first `num_lines_or_equalities' rows of 'sys'
+ // represent the irredundant equalities, while the remaining rows
+ // (i.e., those having indexes from `num_lines_or_equalities' to
+ // `num_rows' - 1) represent the irredundant inequalities.
+#ifndef NDEBUG
+ // Check if the flag is set (that of the equalities is already set).
+ for (dimension_type i = num_lines_or_equalities; i < num_rows; ++i)
+ PPL_ASSERT(sys[i].is_ray_or_point_or_inequality());
+#endif
+
+ // Finally, since now the sub-system (of `sys') of the irredundant
+ // equalities is in triangular form, we back substitute each
+ // variables with the expression obtained considering the equalities
+ // starting from the last one.
+ sys.back_substitute(num_lines_or_equalities);
+
+ // The returned value is the number of irredundant equalities i.e.,
+ // the rank of the sub-system of `sys' containing only equalities.
+ // (See the Introduction for definition of lineality space dimension.)
+ return num_lines_or_equalities;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_simplify_templates_hh)
diff --git a/src/Polyhedron_templates.hh b/src/Polyhedron_templates.hh
new file mode 100644
index 0000000..e604fc1
--- /dev/null
+++ b/src/Polyhedron_templates.hh
@@ -0,0 +1,579 @@
+/* Polyhedron class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Polyhedron_templates_hh
+#define PPL_Polyhedron_templates_hh 1
+
+#include "Generator_defs.hh"
+#include "MIP_Problem_defs.hh"
+#include "Interval_defs.hh"
+#include "Linear_Form_defs.hh"
+// For static method overflows.
+#include "Floating_Point_Expression_defs.hh"
+#include <algorithm>
+#include <deque>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Interval>
+Polyhedron::Polyhedron(Topology topol,
+ const Box<Interval>& box,
+ Complexity_Class)
+ : con_sys(topol, default_con_sys_repr),
+ gen_sys(topol, default_gen_sys_repr),
+ sat_c(),
+ sat_g() {
+ // Initialize the space dimension as indicated by the box.
+ space_dim = box.space_dimension();
+
+ // Check for emptiness.
+ if (box.is_empty()) {
+ set_empty();
+ return;
+ }
+
+ // Zero-dim universe polyhedron.
+ if (space_dim == 0) {
+ set_zero_dim_univ();
+ return;
+ }
+
+ // Properly set the space dimension of `con_sys'.
+ con_sys.set_space_dimension(space_dim);
+
+ PPL_DIRTY_TEMP_COEFFICIENT(l_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(l_d);
+ PPL_DIRTY_TEMP_COEFFICIENT(u_n);
+ PPL_DIRTY_TEMP_COEFFICIENT(u_d);
+
+ if (topol == NECESSARILY_CLOSED) {
+ for (dimension_type k = space_dim; k-- > 0; ) {
+ const Variable v_k = Variable(k);
+ // See if we have a valid lower bound.
+ bool l_closed = false;
+ bool l_bounded = box.has_lower_bound(v_k, l_n, l_d, l_closed);
+ // See if we have a valid upper bound.
+ bool u_closed = false;
+ bool u_bounded = box.has_upper_bound(v_k, u_n, u_d, u_closed);
+
+ // See if we have an implicit equality constraint.
+ if (l_bounded && u_bounded
+ && l_closed && u_closed
+ && l_n == u_n && l_d == u_d) {
+ // Add the constraint `l_d*v_k == l_n'.
+ con_sys.insert(l_d * v_k == l_n);
+ }
+ else {
+ if (l_bounded)
+ // Add the constraint `l_d*v_k >= l_n'.
+ con_sys.insert(l_d * v_k >= l_n);
+ if (u_bounded)
+ // Add the constraint `u_d*v_k <= u_n'.
+ con_sys.insert(u_d * v_k <= u_n);
+ }
+ }
+ }
+ else {
+ // topol == NOT_NECESSARILY_CLOSED
+ for (dimension_type k = space_dim; k-- > 0; ) {
+ const Variable v_k = Variable(k);
+ // See if we have a valid lower bound.
+ bool l_closed = false;
+ bool l_bounded = box.has_lower_bound(v_k, l_n, l_d, l_closed);
+ // See if we have a valid upper bound.
+ bool u_closed = false;
+ bool u_bounded = box.has_upper_bound(v_k, u_n, u_d, u_closed);
+
+ // See if we have an implicit equality constraint.
+ if (l_bounded && u_bounded
+ && l_closed && u_closed
+ && l_n == u_n && l_d == u_d) {
+ // Add the constraint `l_d*v_k == l_n'.
+ con_sys.insert(l_d * v_k == l_n);
+ }
+ else {
+ // Check if a lower bound constraint is required.
+ if (l_bounded) {
+ if (l_closed)
+ // Add the constraint `l_d*v_k >= l_n'.
+ con_sys.insert(l_d * v_k >= l_n);
+ else
+ // Add the constraint `l_d*v_k > l_n'.
+ con_sys.insert(l_d * v_k > l_n);
+ }
+ // Check if an upper bound constraint is required.
+ if (u_bounded) {
+ if (u_closed)
+ // Add the constraint `u_d*v_k <= u_n'.
+ con_sys.insert(u_d * v_k <= u_n);
+ else
+ // Add the constraint `u_d*v_k < u_n'.
+ con_sys.insert(u_d * v_k < u_n);
+ }
+ }
+ }
+ }
+
+ // Adding the low-level constraints.
+ con_sys.add_low_level_constraints();
+
+ // Constraints are up-to-date.
+ set_constraints_up_to_date();
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename Partial_Function>
+void
+Polyhedron::map_space_dimensions(const Partial_Function& pfunc) {
+ if (space_dim == 0)
+ return;
+
+ if (pfunc.has_empty_codomain()) {
+ // All dimensions vanish: the polyhedron becomes zero_dimensional.
+ if (marked_empty()
+ || (has_pending_constraints()
+ && !remove_pending_to_obtain_generators())
+ || (!generators_are_up_to_date() && !update_generators())) {
+ // Removing all dimensions from the empty polyhedron.
+ space_dim = 0;
+ con_sys.clear();
+ }
+ else
+ // Removing all dimensions from a non-empty polyhedron.
+ set_zero_dim_univ();
+
+ PPL_ASSERT_HEAVY(OK());
+ return;
+ }
+
+ const dimension_type new_space_dimension = pfunc.max_in_codomain() + 1;
+
+ if (new_space_dimension == space_dim) {
+ // The partial function `pfunc' is indeed total and thus specifies
+ // a permutation, that is, a renaming of the dimensions. For
+ // maximum efficiency, we will simply permute the columns of the
+ // constraint system and/or the generator system.
+
+ std::vector<Variable> cycle;
+ cycle.reserve(space_dim);
+
+ // Used to mark elements as soon as they are inserted in a cycle.
+ std::deque<bool> visited(space_dim);
+
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ if (visited[i])
+ continue;
+
+ dimension_type j = i;
+ do {
+ visited[j] = true;
+ // The following initialization is only to make the compiler happy.
+ dimension_type k = 0;
+ if (!pfunc.maps(j, k))
+ throw_invalid_argument("map_space_dimensions(pfunc)",
+ " pfunc is inconsistent");
+ if (k == j)
+ break;
+
+ cycle.push_back(Variable(j));
+ // Go along the cycle.
+ j = k;
+ } while (!visited[j]);
+
+ // End of cycle.
+
+ // Permute all that is up-to-date. Notice that the contents of
+ // the saturation matrices is unaffected by the permutation of
+ // columns: they remain valid, if they were so.
+ if (constraints_are_up_to_date())
+ con_sys.permute_space_dimensions(cycle);
+
+ if (generators_are_up_to_date())
+ gen_sys.permute_space_dimensions(cycle);
+
+ cycle.clear();
+ }
+
+ PPL_ASSERT_HEAVY(OK());
+ return;
+ }
+
+ // If control gets here, then `pfunc' is not a permutation and some
+ // dimensions must be projected away.
+
+ // If there are pending constraints, using `generators()' we process them.
+ const Generator_System& old_gensys = generators();
+
+ if (old_gensys.has_no_rows()) {
+ // The polyhedron is empty.
+ Polyhedron new_polyhedron(topology(), new_space_dimension, EMPTY);
+ m_swap(new_polyhedron);
+ PPL_ASSERT_HEAVY(OK());
+ return;
+ }
+
+ // Make a local copy of the partial function.
+ std::vector<dimension_type> pfunc_maps(space_dim, not_a_dimension());
+ for (dimension_type j = space_dim; j-- > 0; ) {
+ dimension_type pfunc_j;
+ if (pfunc.maps(j, pfunc_j))
+ pfunc_maps[j] = pfunc_j;
+ }
+
+ Generator_System new_gensys;
+ for (Generator_System::const_iterator i = old_gensys.begin(),
+ old_gensys_end = old_gensys.end(); i != old_gensys_end; ++i) {
+ const Generator& old_g = *i;
+ const Generator::expr_type old_e = old_g.expression();
+ Linear_Expression expr;
+ expr.set_space_dimension(new_space_dimension);
+ bool all_zeroes = true;
+ for (Generator::expr_type::const_iterator j = old_e.begin(),
+ j_end = old_e.end(); j != j_end; ++j) {
+ const dimension_type mapped_id = pfunc_maps[j.variable().id()];
+ if (mapped_id != not_a_dimension()) {
+ add_mul_assign(expr, *j, Variable(mapped_id));
+ all_zeroes = false;
+ }
+ }
+ switch (old_g.type()) {
+ case Generator::LINE:
+ if (!all_zeroes)
+ new_gensys.insert(line(expr));
+ break;
+ case Generator::RAY:
+ if (!all_zeroes)
+ new_gensys.insert(ray(expr));
+ break;
+ case Generator::POINT:
+ // A point in the origin has all zero homogeneous coefficients.
+ new_gensys.insert(point(expr, old_g.divisor()));
+ break;
+ case Generator::CLOSURE_POINT:
+ // A closure point in the origin has all zero homogeneous coefficients.
+ new_gensys.insert(closure_point(expr, old_g.divisor()));
+ break;
+ }
+ }
+ Polyhedron new_polyhedron(topology(), new_gensys);
+ m_swap(new_polyhedron);
+ PPL_ASSERT_HEAVY(OK(true));
+}
+
+template <typename FP_Format, typename Interval_Info>
+void
+Polyhedron::refine_with_linear_form_inequality(
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
+ const bool is_strict) {
+
+ // Check that FP_Format is indeed a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
+ "Polyhedron::refine_with_linear_form_inequality:"
+ " FP_Format not a floating point type.");
+
+ // Dimension compatibility checks.
+ // The dimensions of left and right should not be greater than the
+ // dimension of *this.
+ const dimension_type left_space_dim = left.space_dimension();
+ if (space_dim < left_space_dim)
+ throw_dimension_incompatible(
+ "refine_with_linear_form_inequality(l1, l2, s)", "l1", left);
+
+ const dimension_type right_space_dim = right.space_dimension();
+ if (space_dim < right_space_dim)
+ throw_dimension_incompatible(
+ "refine_with_linear_form_inequality(l1, l2, s)", "l2", right);
+
+ // We assume that the analyzer will not refine an unreachable test.
+ PPL_ASSERT(!marked_empty());
+
+ typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
+ typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
+
+ if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
+ overflows(left))
+ return;
+
+ if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
+ overflows(right))
+ return;
+
+ // Overapproximate left - right.
+ FP_Linear_Form left_minus_right(left);
+ left_minus_right -= right;
+ if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
+ overflows(left_minus_right))
+ return;
+
+ dimension_type lf_space_dim = left_minus_right.space_dimension();
+ FP_Linear_Form lf_approx;
+ overapproximate_linear_form(left_minus_right, lf_space_dim, lf_approx);
+ if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
+ overflows(lf_approx))
+ return;
+
+ // Normalize left - right.
+ Linear_Expression lf_approx_le;
+ convert_to_integer_expression(lf_approx, lf_space_dim, lf_approx_le);
+
+ // Finally, do the refinement.
+ if (!is_strict || is_necessarily_closed())
+ refine_with_constraint(lf_approx_le <= 0);
+ else
+ refine_with_constraint(lf_approx_le < 0);
+}
+
+template <typename FP_Format, typename Interval_Info>
+void
+Polyhedron::affine_form_image(const Variable var,
+const Linear_Form<Interval <FP_Format, Interval_Info> >& lf) {
+
+ // Check that FP_Format is indeed a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
+ "Polyhedron::affine_form_image:"
+ " FP_Format not a floating point type.");
+
+ // Dimension compatibility checks.
+ // The dimension of lf should not be greater than the dimension of *this.
+ const dimension_type lf_space_dim = lf.space_dimension();
+ if (space_dim < lf_space_dim)
+ throw_dimension_incompatible("affine_form_image(v, l, s)", "l", lf);
+
+ // `var' should be one of the dimensions of the polyhedron.
+ const dimension_type var_id = var.id();
+ if (space_dim < var_id + 1)
+ throw_dimension_incompatible("affine_form_image(v, l, s)", "v", var);
+
+ // We assume that the analyzer will not perform an unreachable assignment.
+ PPL_ASSERT(!marked_empty());
+
+ typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
+ typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
+
+ if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
+ overflows(lf)) {
+ *this = Polyhedron(topology(), space_dim, UNIVERSE);
+ return;
+ }
+
+ // Overapproximate lf.
+ FP_Linear_Form lf_approx;
+ overapproximate_linear_form(lf, lf_space_dim, lf_approx);
+
+ if (Floating_Point_Expression<FP_Interval_Type, float_ieee754_single>::
+ overflows(lf_approx)) {
+ *this = Polyhedron(topology(), space_dim, UNIVERSE);
+ return;
+ }
+
+ // Normalize lf.
+ Linear_Expression lf_approx_le;
+ PPL_DIRTY_TEMP_COEFFICIENT(lo_coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(hi_coeff);
+ PPL_DIRTY_TEMP_COEFFICIENT(denominator);
+ convert_to_integer_expressions(lf_approx, lf_space_dim, lf_approx_le,
+ lo_coeff, hi_coeff, denominator);
+
+ // Finally, do the assignment.
+ bounded_affine_image(var, lf_approx_le + lo_coeff, lf_approx_le + hi_coeff,
+ denominator);
+}
+
+template <typename FP_Format, typename Interval_Info>
+void
+Polyhedron::overapproximate_linear_form
+(const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const dimension_type lf_dimension,
+ Linear_Form<Interval <FP_Format, Interval_Info> >& result) {
+
+ // Check that FP_Format is indeed a floating point type.
+ PPL_COMPILE_TIME_CHECK(!std::numeric_limits<FP_Format>::is_exact,
+ "Polyhedron::overapproximate_linear_form:"
+ " FP_Format not a floating point type.");
+
+ typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
+ typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
+
+ // Build a Box from the Polyhedron so that we can extract upper and
+ // lower bounds of variables easily.
+ Box<FP_Interval_Type> box(*this);
+
+ result = FP_Linear_Form(lf.inhomogeneous_term());
+ // FIXME: this may not be policy-neutral.
+ const FP_Interval_Type aux_divisor1(static_cast<FP_Format>(0.5));
+ FP_Interval_Type aux_divisor2(aux_divisor1);
+ aux_divisor2.lower() = static_cast<FP_Format>(-0.5);
+
+ for (dimension_type i = 0; i < lf_dimension; ++i) {
+ Variable curr_var(i);
+ const FP_Interval_Type& curr_coeff = lf.coefficient(curr_var);
+ PPL_ASSERT(curr_coeff.is_bounded());
+ FP_Format curr_lb = curr_coeff.lower();
+ FP_Format curr_ub = curr_coeff.upper();
+ if (curr_lb != 0 || curr_ub != 0) {
+ const FP_Interval_Type& curr_int = box.get_interval(curr_var);
+ FP_Interval_Type curr_addend(curr_ub - curr_lb);
+ curr_addend *= aux_divisor2;
+ curr_addend *= curr_int;
+ result += curr_addend;
+ curr_addend = FP_Interval_Type(curr_lb + curr_ub);
+ curr_addend *= aux_divisor1;
+ FP_Linear_Form curr_addend_lf(curr_var);
+ curr_addend_lf *= curr_addend;
+ result += curr_addend_lf;
+ }
+ }
+}
+
+template <typename FP_Format, typename Interval_Info>
+void
+Polyhedron::convert_to_integer_expression(
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const dimension_type lf_dimension,
+ Linear_Expression& result) {
+ result = Linear_Expression();
+
+ typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
+ std::vector<Coefficient> numerators(lf_dimension+1);
+ std::vector<Coefficient> denominators(lf_dimension+1);
+
+ // Convert each floating point number to a pair <numerator, denominator>
+ // and compute the lcm of all denominators.
+ PPL_DIRTY_TEMP_COEFFICIENT(lcm);
+ lcm = 1;
+ const FP_Interval_Type& b = lf.inhomogeneous_term();
+ // FIXME: are these checks numerator[i] != 0 really necessary?
+ numer_denom(b.lower(), numerators[lf_dimension],
+ denominators[lf_dimension]);
+ if (numerators[lf_dimension] != 0)
+ lcm_assign(lcm, lcm, denominators[lf_dimension]);
+
+ for (dimension_type i = 0; i < lf_dimension; ++i) {
+ const FP_Interval_Type& curr_int = lf.coefficient(Variable(i));
+ numer_denom(curr_int.lower(), numerators[i], denominators[i]);
+ if (numerators[i] != 0)
+ lcm_assign(lcm, lcm, denominators[i]);
+ }
+
+ for (dimension_type i = 0; i < lf_dimension; ++i) {
+ if (numerators[i] != 0) {
+ exact_div_assign(denominators[i], lcm, denominators[i]);
+ numerators[i] *= denominators[i];
+ result += numerators[i] * Variable(i);
+ }
+ }
+
+ if (numerators[lf_dimension] != 0) {
+ exact_div_assign(denominators[lf_dimension],
+ lcm, denominators[lf_dimension]);
+ numerators[lf_dimension] *= denominators[lf_dimension];
+ result += numerators[lf_dimension];
+ }
+}
+
+template <typename FP_Format, typename Interval_Info>
+void
+Polyhedron::convert_to_integer_expressions(
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const dimension_type lf_dimension, Linear_Expression& res,
+ Coefficient& res_low_coeff, Coefficient& res_hi_coeff,
+ Coefficient& denominator) {
+ res = Linear_Expression();
+
+ typedef Interval<FP_Format, Interval_Info> FP_Interval_Type;
+ std::vector<Coefficient> numerators(lf_dimension+2);
+ std::vector<Coefficient> denominators(lf_dimension+2);
+
+ // Convert each floating point number to a pair <numerator, denominator>
+ // and compute the lcm of all denominators.
+ Coefficient& lcm = denominator;
+ lcm = 1;
+ const FP_Interval_Type& b = lf.inhomogeneous_term();
+ numer_denom(b.lower(), numerators[lf_dimension], denominators[lf_dimension]);
+ // FIXME: are these checks numerator[i] != 0 really necessary?
+ if (numerators[lf_dimension] != 0)
+ lcm_assign(lcm, lcm, denominators[lf_dimension]);
+
+ numer_denom(b.upper(), numerators[lf_dimension+1],
+ denominators[lf_dimension+1]);
+ if (numerators[lf_dimension+1] != 0)
+ lcm_assign(lcm, lcm, denominators[lf_dimension+1]);
+
+ for (dimension_type i = 0; i < lf_dimension; ++i) {
+ const FP_Interval_Type& curr_int = lf.coefficient(Variable(i));
+ numer_denom(curr_int.lower(), numerators[i], denominators[i]);
+ if (numerators[i] != 0)
+ lcm_assign(lcm, lcm, denominators[i]);
+ }
+
+ for (dimension_type i = 0; i < lf_dimension; ++i) {
+ if (numerators[i] != 0) {
+ exact_div_assign(denominators[i], lcm, denominators[i]);
+ numerators[i] *= denominators[i];
+ res += numerators[i] * Variable(i);
+ }
+ }
+
+ if (numerators[lf_dimension] != 0) {
+ exact_div_assign(denominators[lf_dimension],
+ lcm, denominators[lf_dimension]);
+ numerators[lf_dimension] *= denominators[lf_dimension];
+ res_low_coeff = numerators[lf_dimension];
+ }
+ else
+ res_low_coeff = Coefficient(0);
+
+ if (numerators[lf_dimension+1] != 0) {
+ exact_div_assign(denominators[lf_dimension+1],
+ lcm, denominators[lf_dimension+1]);
+ numerators[lf_dimension+1] *= denominators[lf_dimension+1];
+ res_hi_coeff = numerators[lf_dimension+1];
+ }
+ else
+ res_hi_coeff = Coefficient(0);
+}
+
+template <typename C>
+void
+Polyhedron::throw_dimension_incompatible(const char* method,
+ const char* lf_name,
+ const Linear_Form<C>& lf) const {
+ throw_dimension_incompatible(method, lf_name, lf.space_dimension());
+}
+
+template <typename Input>
+Input&
+Polyhedron::check_obj_space_dimension_overflow(Input& input,
+ const Topology topol,
+ const char* method,
+ const char* reason) {
+ check_space_dimension_overflow(input.space_dimension(),
+ max_space_dimension(),
+ topol, method, reason);
+ return input;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_templates_hh)
diff --git a/src/Polyhedron_types.hh b/src/Polyhedron_types.hh
new file mode 100644
index 0000000..05e67f5
--- /dev/null
+++ b/src/Polyhedron_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Polyhedron_types_hh
+#define PPL_Polyhedron_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Polyhedron;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Polyhedron_types_hh)
diff --git a/src/Polyhedron_widenings.cc b/src/Polyhedron_widenings.cc
index b7c6ee5..6960d2f 100644
--- a/src/Polyhedron_widenings.cc
+++ b/src/Polyhedron_widenings.cc
@@ -1,7 +1,7 @@
/* Polyhedron class implementation
(non-inline widening-related member functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,11 +23,11 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Polyhedron.defs.hh"
-#include "BHRZ03_Certificate.defs.hh"
+#include "Polyhedron_defs.hh"
+#include "BHRZ03_Certificate_defs.hh"
#include "Rational_Box.hh"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
#include "assert.hh"
#include <iostream>
#include <stdexcept>
@@ -38,17 +38,17 @@ namespace PPL = Parma_Polyhedra_Library;
void
PPL::Polyhedron
::select_CH78_constraints(const Polyhedron& y,
- Constraint_System& cs_selection) const {
+ Constraint_System& cs_selection) const {
// Private method: the caller must ensure the following conditions.
PPL_ASSERT(topology() == y.topology()
- && topology() == cs_selection.topology()
- && space_dim == y.space_dim);
+ && topology() == cs_selection.topology()
+ && space_dim == y.space_dim);
PPL_ASSERT(!marked_empty()
- && !has_pending_constraints()
- && generators_are_up_to_date());
+ && !has_pending_constraints()
+ && generators_are_up_to_date());
PPL_ASSERT(!y.marked_empty()
- && !y.has_something_pending()
- && y.constraints_are_minimized());
+ && !y.has_something_pending()
+ && y.constraints_are_minimized());
// A constraint in `y.con_sys' is copied to `cs_selection'
// if it is satisfied by all the generators of `gen_sys'.
@@ -65,21 +65,21 @@ PPL::Polyhedron
void
PPL::Polyhedron
::select_H79_constraints(const Polyhedron& y,
- Constraint_System& cs_selected,
- Constraint_System& cs_not_selected) const {
+ Constraint_System& cs_selected,
+ Constraint_System& cs_not_selected) const {
// Private method: the caller must ensure the following conditions
// (beside the inclusion `y <= x').
PPL_ASSERT(topology() == y.topology()
- && topology() == cs_selected.topology()
- && topology() == cs_not_selected.topology());
+ && topology() == cs_selected.topology()
+ && topology() == cs_not_selected.topology());
PPL_ASSERT(space_dim == y.space_dim);
PPL_ASSERT(!marked_empty()
- && !has_pending_generators()
- && constraints_are_up_to_date());
+ && !has_pending_generators()
+ && constraints_are_up_to_date());
PPL_ASSERT(!y.marked_empty()
- && !y.has_something_pending()
- && y.constraints_are_minimized()
- && y.generators_are_up_to_date());
+ && !y.has_something_pending()
+ && y.constraints_are_minimized()
+ && y.generators_are_up_to_date());
// FIXME: this is a workaround for NNC polyhedra.
if (!y.is_necessarily_closed()) {
@@ -140,11 +140,11 @@ PPL::Polyhedron
const int sp_sgn = Scalar_Products::sign(ci, y.gen_sys[j]);
// We are assuming that `y <= x'.
PPL_ASSERT(sp_sgn >= 0
- || (!is_necessarily_closed()
- && ci.is_strict_inequality()
- && y.gen_sys[j].is_point()));
+ || (!is_necessarily_closed()
+ && ci.is_strict_inequality()
+ && y.gen_sys[j].is_point()));
if (sp_sgn > 0)
- buffer.set(j);
+ buffer.set(j);
}
// We check whether `buffer' is a row of `tmp_sat_g',
// exploiting its sortedness in order to have faster comparisons.
@@ -220,14 +220,14 @@ PPL::Polyhedron::H79_widening_assign(const Polyhedron& y, unsigned* tp) {
// Check whether we are using the widening-with-tokens technique
// and there still are tokens available.
if (tp != 0 && *tp > 0) {
- // There are tokens available. If `CH78' is not a subset of `x',
- // then it is less precise and we use one of the available tokens.
- if (!x.contains(CH78))
- --(*tp);
+ // There are tokens available. If `CH78' is not a subset of `x',
+ // then it is less precise and we use one of the available tokens.
+ if (!x.contains(CH78))
+ --(*tp);
}
else
- // No tokens.
- x.m_swap(CH78);
+ // No tokens.
+ x.m_swap(CH78);
PPL_ASSERT_HEAVY(x.OK(true));
return;
}
@@ -271,7 +271,7 @@ PPL::Polyhedron::H79_widening_assign(const Polyhedron& y, unsigned* tp) {
// There are tokens available. If `H79' is not a subset of `x',
// then it is less precise and we use one of the available tokens.
if (!x.contains(H79))
- --(*tp);
+ --(*tp);
}
else
// No tokens.
@@ -282,8 +282,8 @@ PPL::Polyhedron::H79_widening_assign(const Polyhedron& y, unsigned* tp) {
void
PPL::Polyhedron::limited_H79_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp) {
+ const Constraint_System& cs,
+ unsigned* tp) {
Polyhedron& x = *this;
const dimension_type cs_num_rows = cs.num_rows();
@@ -297,24 +297,24 @@ PPL::Polyhedron::limited_H79_extrapolation_assign(const Polyhedron& y,
if (x.is_necessarily_closed()) {
if (!y.is_necessarily_closed())
throw_topology_incompatible("limited_H79_extrapolation_assign(y, cs)",
- "y", y);
+ "y", y);
if (cs.has_strict_inequalities())
throw_topology_incompatible("limited_H79_extrapolation_assign(y, cs)",
- "cs", cs);
+ "cs", cs);
}
else if (y.is_necessarily_closed())
throw_topology_incompatible("limited_H79_extrapolation_assign(y, cs)",
- "y", y);
+ "y", y);
// Dimension-compatibility check.
if (x.space_dim != y.space_dim)
throw_dimension_incompatible("limited_H79_extrapolation_assign(y, cs)",
- "y", y);
+ "y", y);
// `cs' must be dimension-compatible with the two polyhedra.
const dimension_type cs_space_dim = cs.space_dimension();
if (x.space_dim < cs_space_dim)
throw_dimension_incompatible("limited_H79_extrapolation_assign(y, cs)",
- "cs", cs);
+ "cs", cs);
// Assume `y' is contained in or equal to `x'.
PPL_EXPECT_HEAVY(copy_contains(x, y));
@@ -360,10 +360,10 @@ PPL::Polyhedron::limited_H79_extrapolation_assign(const Polyhedron& y,
void
PPL::Polyhedron::bounded_H79_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp) {
+ const Constraint_System& cs,
+ unsigned* tp) {
Rational_Box x_box(*this, ANY_COMPLEXITY);
- Rational_Box y_box(y, ANY_COMPLEXITY);
+ const Rational_Box y_box(y, ANY_COMPLEXITY);
x_box.CC76_widening_assign(y_box);
limited_H79_extrapolation_assign(y, cs, tp);
Constraint_System x_box_cs = x_box.constraints();
@@ -373,23 +373,23 @@ PPL::Polyhedron::bounded_H79_extrapolation_assign(const Polyhedron& y,
bool
PPL::Polyhedron
::BHRZ03_combining_constraints(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79,
- const Constraint_System& x_minus_H79_cs) {
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79,
+ const Constraint_System& x_minus_H79_cs) {
Polyhedron& x = *this;
// It is assumed that `y <= x <= H79'.
PPL_ASSERT(x.topology() == y.topology()
- && x.topology() == H79.topology()
- && x.topology() == x_minus_H79_cs.topology());
+ && x.topology() == H79.topology()
+ && x.topology() == x_minus_H79_cs.topology());
PPL_ASSERT(x.space_dim == y.space_dim
- && x.space_dim == H79.space_dim
- && x.space_dim == x_minus_H79_cs.space_dimension());
+ && x.space_dim == H79.space_dim
+ && x.space_dim == x_minus_H79_cs.space_dimension());
PPL_ASSERT(!x.marked_empty() && !x.has_something_pending()
- && x.constraints_are_minimized() && x.generators_are_minimized());
+ && x.constraints_are_minimized() && x.generators_are_minimized());
PPL_ASSERT(!y.marked_empty() && !y.has_something_pending()
- && y.constraints_are_minimized() && y.generators_are_minimized());
+ && y.constraints_are_minimized() && y.generators_are_minimized());
PPL_ASSERT(!H79.marked_empty() && !H79.has_something_pending()
- && H79.constraints_are_minimized() && H79.generators_are_minimized());
+ && H79.constraints_are_minimized() && H79.generators_are_minimized());
// We will choose from `x_minus_H79_cs' many subsets of constraints,
// that will be collected (one at a time) in `combining_cs'.
@@ -418,45 +418,45 @@ PPL::Polyhedron
bool lies_on_the_boundary_of_H79 = false;
const Constraint_System& H79_cs = H79.con_sys;
for (dimension_type j = H79_cs.num_rows(); j-- > 0; ) {
- const Constraint& c = H79_cs[j];
- if (c.is_inequality() && Scalar_Products::sign(c, g) == 0) {
- lies_on_the_boundary_of_H79 = true;
- break;
- }
+ const Constraint& c = H79_cs[j];
+ if (c.is_inequality() && Scalar_Products::sign(c, g) == 0) {
+ lies_on_the_boundary_of_H79 = true;
+ break;
+ }
}
if (lies_on_the_boundary_of_H79)
- continue;
+ continue;
// Consider all the constraints in `x_minus_H79_cs'
// that are saturated by the point `g'.
combining_cs.clear();
for (dimension_type j = x_minus_H79_cs_num_rows; j-- > 0; ) {
- const Constraint& c = x_minus_H79_cs[j];
- if (Scalar_Products::sign(c, g) == 0)
- combining_cs.insert(c);
+ const Constraint& c = x_minus_H79_cs[j];
+ if (Scalar_Products::sign(c, g) == 0)
+ combining_cs.insert(c);
}
// Build a new constraint by combining all the chosen constraints.
const dimension_type combining_cs_num_rows = combining_cs.num_rows();
if (combining_cs_num_rows > 0) {
- if (combining_cs_num_rows == 1)
- // No combination is needed.
- new_cs.insert(combining_cs[0]);
- else {
- Linear_Expression e(0);
- bool strict_inequality = false;
- for (dimension_type h = combining_cs_num_rows; h-- > 0; ) {
- if (combining_cs[h].is_strict_inequality())
- strict_inequality = true;
- e += Linear_Expression(combining_cs[h]);
- }
-
- if (!e.all_homogeneous_terms_are_zero()) {
- if (strict_inequality)
- new_cs.insert(e > 0);
- else
- new_cs.insert(e >= 0);
- }
- }
+ if (combining_cs_num_rows == 1)
+ // No combination is needed.
+ new_cs.insert(combining_cs[0]);
+ else {
+ Linear_Expression e(0);
+ bool strict_inequality = false;
+ for (dimension_type h = combining_cs_num_rows; h-- > 0; ) {
+ if (combining_cs[h].is_strict_inequality())
+ strict_inequality = true;
+ e += Linear_Expression(combining_cs[h].expression());
+ }
+
+ if (!e.all_homogeneous_terms_are_zero()) {
+ if (strict_inequality)
+ new_cs.insert(e > 0);
+ else
+ new_cs.insert(e >= 0);
+ }
+ }
}
}
}
@@ -495,20 +495,20 @@ PPL::Polyhedron
bool
PPL::Polyhedron::BHRZ03_evolving_points(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79) {
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79) {
Polyhedron& x = *this;
// It is assumed that `y <= x <= H79'.
PPL_ASSERT(x.topology() == y.topology()
- && x.topology() == H79.topology());
+ && x.topology() == H79.topology());
PPL_ASSERT(x.space_dim == y.space_dim
- && x.space_dim == H79.space_dim);
+ && x.space_dim == H79.space_dim);
PPL_ASSERT(!x.marked_empty() && !x.has_something_pending()
- && x.constraints_are_minimized() && x.generators_are_minimized());
+ && x.constraints_are_minimized() && x.generators_are_minimized());
PPL_ASSERT(!y.marked_empty() && !y.has_something_pending()
- && y.constraints_are_minimized() && y.generators_are_minimized());
+ && y.constraints_are_minimized() && y.generators_are_minimized());
PPL_ASSERT(!H79.marked_empty() && !H79.has_something_pending()
- && H79.constraints_are_minimized() && H79.generators_are_minimized());
+ && H79.constraints_are_minimized() && H79.generators_are_minimized());
// For each point in `x.gen_sys' that is not in `y',
// this technique tries to identify a set of rays that:
@@ -526,19 +526,19 @@ PPL::Polyhedron::BHRZ03_evolving_points(const Polyhedron& y,
// In the case of NNC polyhedra, we can restrict attention to
// closure points (considering also points will only add redundancy).
if (((g1.is_point() && closed) || (g1.is_closure_point() && !closed))
- && y.relation_with(g1) == Poly_Gen_Relation::nothing()) {
+ && y.relation_with(g1) == Poly_Gen_Relation::nothing()) {
// For each point (resp., closure point) `g2' in `y.gen_sys',
// where `g1' and `g2' are different,
// build the candidate ray `g1 - g2'.
for (dimension_type j = y_gen_sys_num_rows; j-- > 0; ) {
- const Generator& g2 = y.gen_sys[j];
- if ((g2.is_point() && closed)
- || (g2.is_closure_point() && !closed)) {
- PPL_ASSERT(compare(g1, g2) != 0);
- Generator ray_from_g2_to_g1 = g1;
- ray_from_g2_to_g1.linear_combine(g2, 0);
- candidate_rays.insert(ray_from_g2_to_g1);
- }
+ const Generator& g2 = y.gen_sys[j];
+ if ((g2.is_point() && closed)
+ || (g2.is_closure_point() && !closed)) {
+ PPL_ASSERT(compare(g1, g2) != 0);
+ Generator ray_from_g2_to_g1 = g1;
+ ray_from_g2_to_g1.linear_combine(g2, 0);
+ candidate_rays.insert(ray_from_g2_to_g1);
+ }
}
}
}
@@ -634,20 +634,20 @@ PPL::Polyhedron::modify_according_to_evolution(Linear_Expression& ray,
bool
PPL::Polyhedron::BHRZ03_evolving_rays(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79) {
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79) {
Polyhedron& x = *this;
// It is assumed that `y <= x <= H79'.
PPL_ASSERT(x.topology() == y.topology()
- && x.topology() == H79.topology());
+ && x.topology() == H79.topology());
PPL_ASSERT(x.space_dim == y.space_dim
- && x.space_dim == H79.space_dim);
+ && x.space_dim == H79.space_dim);
PPL_ASSERT(!x.marked_empty() && !x.has_something_pending()
- && x.constraints_are_minimized() && x.generators_are_minimized());
+ && x.constraints_are_minimized() && x.generators_are_minimized());
PPL_ASSERT(!y.marked_empty() && !y.has_something_pending()
- && y.constraints_are_minimized() && y.generators_are_minimized());
+ && y.constraints_are_minimized() && y.generators_are_minimized());
PPL_ASSERT(!H79.marked_empty() && !H79.has_something_pending()
- && H79.constraints_are_minimized() && H79.generators_are_minimized());
+ && H79.constraints_are_minimized() && H79.generators_are_minimized());
const dimension_type x_gen_sys_num_rows = x.gen_sys.num_rows();
const dimension_type y_gen_sys_num_rows = y.gen_sys.num_rows();
@@ -659,15 +659,15 @@ PPL::Polyhedron::BHRZ03_evolving_rays(const Polyhedron& y,
// We choose a ray of `x' that does not belong to `y'.
if (x_g.is_ray() && y.relation_with(x_g) == Poly_Gen_Relation::nothing()) {
for (dimension_type j = y_gen_sys_num_rows; j-- > 0; ) {
- const Generator& y_g = y.gen_sys[j];
- if (y_g.is_ray()) {
- Generator new_ray(x_g);
+ const Generator& y_g = y.gen_sys[j];
+ if (y_g.is_ray()) {
+ Generator new_ray(x_g);
// Modify `new_ray' according to the evolution of `x_g' with
// respect to `y_g'.
modify_according_to_evolution(new_ray.expr, x_g.expr, y_g.expr);
PPL_ASSERT(new_ray.OK());
- candidate_rays.insert(new_ray);
- }
+ candidate_rays.insert(new_ray);
+ }
}
}
}
@@ -721,7 +721,7 @@ PPL::Polyhedron::BHRZ03_widening_assign(const Polyhedron& y, unsigned* tp) {
x.minimize();
// Compute certificate info for polyhedron `y'.
- BHRZ03_Certificate y_cert(y);
+ const BHRZ03_Certificate y_cert(y);
// If the iteration is stabilizing, the resulting polyhedron is `x'.
// At this point, also check if the two polyhedra are the same
@@ -786,8 +786,8 @@ PPL::Polyhedron::BHRZ03_widening_assign(const Polyhedron& y, unsigned* tp) {
void
PPL::Polyhedron
::limited_BHRZ03_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp) {
+ const Constraint_System& cs,
+ unsigned* tp) {
Polyhedron& x = *this;
const dimension_type cs_num_rows = cs.num_rows();
// If `cs' is empty, we fall back to ordinary, non-limited widening.
@@ -800,24 +800,24 @@ PPL::Polyhedron
if (x.is_necessarily_closed()) {
if (!y.is_necessarily_closed())
throw_topology_incompatible("limited_BHRZ03_extrapolation_assign(y, cs)",
- "y", y);
+ "y", y);
if (cs.has_strict_inequalities())
throw_topology_incompatible("limited_BHRZ03_extrapolation_assign(y, cs)",
- "cs", cs);
+ "cs", cs);
}
else if (y.is_necessarily_closed())
throw_topology_incompatible("limited_BHRZ03_extrapolation_assign(y, cs)",
- "y", y);
+ "y", y);
// Dimension-compatibility check.
if (x.space_dim != y.space_dim)
throw_dimension_incompatible("limited_BHRZ03_extrapolation_assign(y, cs)",
- "y", y);
+ "y", y);
// `cs' must be dimension-compatible with the two polyhedra.
const dimension_type cs_space_dim = cs.space_dimension();
if (x.space_dim < cs_space_dim)
throw_dimension_incompatible("limited_BHRZ03_extrapolation_assign(y, cs)",
- "cs", cs);
+ "cs", cs);
// Assume `y' is contained in or equal to `x'.
PPL_EXPECT_HEAVY(copy_contains(x, y));
@@ -864,10 +864,10 @@ PPL::Polyhedron
void
PPL::Polyhedron
::bounded_BHRZ03_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp) {
+ const Constraint_System& cs,
+ unsigned* tp) {
Rational_Box x_box(*this, ANY_COMPLEXITY);
- Rational_Box y_box(y, ANY_COMPLEXITY);
+ const Rational_Box y_box(y, ANY_COMPLEXITY);
x_box.CC76_widening_assign(y_box);
limited_BHRZ03_extrapolation_assign(y, cs, tp);
Constraint_System x_box_cs = x_box.constraints();
diff --git a/src/Powerset.defs.hh b/src/Powerset.defs.hh
deleted file mode 100644
index 60c6e77..0000000
--- a/src/Powerset.defs.hh
+++ /dev/null
@@ -1,450 +0,0 @@
-/* Powerset class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Powerset_defs_hh
-#define PPL_Powerset_defs_hh
-
-#include "Powerset.types.hh"
-#include "globals.types.hh"
-#include "iterator_to_const.defs.hh"
-#include <iosfwd>
-#include <iterator>
-#include <list>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Powerset */
-template <typename D>
-void swap(Powerset<D>& x, Powerset<D>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equivalent.
-/*! \relates Powerset */
-template <typename D>
-bool
-operator==(const Powerset<D>& x, const Powerset<D>& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are not equivalent.
-/*! \relates Powerset */
-template <typename D>
-bool
-operator!=(const Powerset<D>& x, const Powerset<D>& y);
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Powerset */
-template <typename D>
-std::ostream&
-operator<<(std::ostream& s, const Powerset<D>& x);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-
-//! The powerset construction on a base-level domain.
-/*! \ingroup PPL_CXX_interface
- This class offers a generic implementation of a
- <EM>powerset</EM> domain as defined in Section \ref powerset.
-
- Besides invoking the available methods on the disjuncts of a Powerset,
- this class also provides bidirectional iterators that allow for a
- direct inspection of these disjuncts. For a consistent handling of
- Omega-reduction, all the iterators are <EM>read-only</EM>, meaning
- that the disjuncts cannot be overwritten. Rather, by using the class
- <CODE>iterator</CODE>, it is possible to drop one or more disjuncts
- (possibly so as to later add back modified versions). As an example
- of iterator usage, the following template function drops from
- powerset \p ps all the disjuncts that would have become redundant by
- the addition of an external element \p d.
-
- \code
-template <typename D>
-void
-drop_subsumed(Powerset<D>& ps, const D& d) {
- for (typename Powerset<D>::iterator i = ps.begin(),
- ps_end = ps.end(), i != ps_end; )
- if (i->definitely_entails(d))
- i = ps.drop_disjunct(i);
- else
- ++i;
-}
- \endcode
-
- The template class D must provide the following methods.
- \code
- memory_size_type total_memory_in_bytes() const
- \endcode
- Returns a lower bound on the total size in bytes of the memory
- occupied by the instance of D.
- \code
- bool is_top() const
- \endcode
- Returns <CODE>true</CODE> if and only if the instance of D is the top
- element of the domain.
- \code
- bool is_bottom() const
- \endcode
- Returns <CODE>true</CODE> if and only if the instance of D is the
- bottom element of the domain.
- \code
- bool definitely_entails(const D& y) const
- \endcode
- Returns <CODE>true</CODE> if the instance of D definitely entails
- <CODE>y</CODE>. Returns <CODE>false</CODE> if the instance may not
- entail <CODE>y</CODE> (i.e., if the instance does not entail
- <CODE>y</CODE> or if entailment could not be decided).
- \code
- void upper_bound_assign(const D& y)
- \endcode
- Assigns to the instance of D an upper bound of the instance and
- <CODE>y</CODE>.
- \code
- void meet_assign(const D& y)
- \endcode
- Assigns to the instance of D the meet of the instance and
- <CODE>y</CODE>.
- \code
- bool OK() const
- \endcode
- Returns <CODE>true</CODE> if the instance of D is in a consistent
- state, else returns <CODE>false</CODE>.
-
- The following operators on the template class D must be defined.
- \code
- operator<<(std::ostream& s, const D& x)
- \endcode
- Writes a textual representation of the instance of D on
- <CODE>s</CODE>.
- \code
- operator==(const D& x, const D& y)
- \endcode
- Returns <CODE>true</CODE> if and only if <CODE>x</CODE> and
- <CODE>y</CODE> are equivalent D's.
- \code
- operator!=(const D& x, const D& y)
- \endcode
- Returns <CODE>true</CODE> if and only if <CODE>x</CODE> and
- <CODE>y</CODE> are different D's.
-*/
-template <typename D>
-class Parma_Polyhedra_Library::Powerset {
-public:
- //! \name Constructors and Destructor
- //@{
-
- /*! \brief
- Default constructor: builds the bottom of the powerset constraint
- system (i.e., the empty powerset).
- */
- Powerset();
-
- //! Copy constructor.
- Powerset(const Powerset& y);
-
- /*! \brief
- If \p d is not bottom, builds a powerset containing only \p d.
- Builds the empty powerset otherwise.
- */
- explicit Powerset(const D& d);
-
- //! Destructor.
- ~Powerset();
-
- //@} // Constructors and Destructor
-
- //! \name Member Functions that Do Not Modify the Powerset Object
- //@{
-
- /*! \brief
- Returns <CODE>true</CODE> if \p *this definitely entails \p y.
- Returns <CODE>false</CODE> if \p *this may not entail \p y
- (i.e., if \p *this does not entail \p y or if entailment could
- not be decided).
- */
- bool definitely_entails(const Powerset& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is the top
- element of the powerset constraint system (i.e., it represents
- the universe).
- */
- bool is_top() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this is the bottom
- element of the powerset constraint system (i.e., it represents
- the empty set).
- */
- bool is_bottom() const;
-
- /*! \brief
- Returns a lower bound to the total size in bytes of the memory
- occupied by \p *this.
- */
- memory_size_type total_memory_in_bytes() const;
-
- /*! \brief
- Returns a lower bound to the size in bytes of the memory
- managed by \p *this.
- */
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- // FIXME: document and perhaps use an enum instead of a bool.
- bool OK(bool disallow_bottom = false) const;
-
- //@} // Member Functions that Do Not Modify the Powerset Object
-
-protected:
- //! A powerset is implemented as a sequence of elements.
- /*!
- The particular sequence employed must support efficient deletion
- in any position and efficient back insertion.
- */
- typedef std::list<D> Sequence;
-
- //! Alias for the low-level iterator on the disjuncts.
- typedef typename Sequence::iterator Sequence_iterator;
-
- //! Alias for the low-level %const_iterator on the disjuncts.
- typedef typename Sequence::const_iterator Sequence_const_iterator;
-
- //! The sequence container holding powerset's elements.
- Sequence sequence;
-
- //! If <CODE>true</CODE>, \p *this is Omega-reduced.
- mutable bool reduced;
-
-public:
- // Sequence manipulation types, accessors and modifiers
- typedef typename Sequence::size_type size_type;
- typedef typename Sequence::value_type value_type;
-
- /*! \brief
- Alias for a <EM>read-only</EM> bidirectional %iterator on the
- disjuncts of a Powerset element.
-
- By using this iterator type, the disjuncts cannot be overwritten,
- but they can be removed using methods
- <CODE>drop_disjunct(iterator position)</CODE> and
- <CODE>drop_disjuncts(iterator first, iterator last)</CODE>,
- while still ensuring a correct handling of Omega-reduction.
- */
- typedef iterator_to_const<Sequence> iterator;
-
- //! A bidirectional %const_iterator on the disjuncts of a Powerset element.
- typedef const_iterator_to_const<Sequence> const_iterator;
-
- //! The reverse iterator type built from Powerset::iterator.
- typedef std::reverse_iterator<iterator> reverse_iterator;
-
- //! The reverse iterator type built from Powerset::const_iterator.
- typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
-
- //! \name Member Functions for the Direct Manipulation of Disjuncts
- //@{
-
- /*! \brief
- Drops from the sequence of disjuncts in \p *this all the
- non-maximal elements so that \p *this is non-redundant.
-
- This method is declared <CODE>const</CODE> because, even though
- Omega-reduction may change the syntactic representation of \p *this,
- its semantics will be unchanged.
- */
- void omega_reduce() const;
-
- //! Returns the number of disjuncts.
- size_type size() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if there are no disjuncts in
- \p *this.
- */
- bool empty() const;
-
- /*! \brief
- Returns an iterator pointing to the first disjunct, if \p *this
- is not empty; otherwise, returns the past-the-end iterator.
- */
- iterator begin();
-
- //! Returns the past-the-end iterator.
- iterator end();
-
- /*! \brief
- Returns a const_iterator pointing to the first disjunct, if \p *this
- is not empty; otherwise, returns the past-the-end const_iterator.
- */
- const_iterator begin() const;
-
- //! Returns the past-the-end const_iterator.
- const_iterator end() const;
-
- /*! \brief
- Returns a reverse_iterator pointing to the last disjunct, if \p *this
- is not empty; otherwise, returns the before-the-start reverse_iterator.
- */
- reverse_iterator rbegin();
-
- //! Returns the before-the-start reverse_iterator.
- reverse_iterator rend();
-
- /*! \brief
- Returns a const_reverse_iterator pointing to the last disjunct,
- if \p *this is not empty; otherwise, returns the before-the-start
- const_reverse_iterator.
- */
- const_reverse_iterator rbegin() const;
-
- //! Returns the before-the-start const_reverse_iterator.
- const_reverse_iterator rend() const;
-
- //! Adds to \p *this the disjunct \p d.
- void add_disjunct(const D& d);
-
- /*! \brief
- Drops the disjunct in \p *this pointed to by \p position, returning
- an iterator to the disjunct following \p position.
- */
- iterator drop_disjunct(iterator position);
-
- //! Drops all the disjuncts from \p first to \p last (excluded).
- void drop_disjuncts(iterator first, iterator last);
-
- //! Drops all the disjuncts, making \p *this an empty powerset.
- void clear();
-
- //@} // Member Functions for the Direct Manipulation of Disjuncts
-
- //! \name Member Functions that May Modify the Powerset Object
- //@{
-
- //! The assignment operator.
- Powerset& operator=(const Powerset& y);
-
- //! Swaps \p *this with \p y.
- void m_swap(Powerset& y);
-
- //! Assigns to \p *this the least upper bound of \p *this and \p y.
- void least_upper_bound_assign(const Powerset& y);
-
- //! Assigns to \p *this an upper bound of \p *this and \p y.
- /*!
- The result will be the least upper bound of \p *this and \p y.
- */
- void upper_bound_assign(const Powerset& y);
-
- /*! \brief
- Assigns to \p *this the least upper bound of \p *this and \p y
- and returns \c true.
-
- \exception std::invalid_argument
- Thrown if \p *this and \p y are dimension-incompatible.
- */
- bool upper_bound_assign_if_exact(const Powerset& y);
-
- //! Assigns to \p *this the meet of \p *this and \p y.
- void meet_assign(const Powerset& y);
-
- /*! \brief
- If \p *this is not empty (i.e., it is not the bottom element),
- it is reduced to a singleton obtained by computing an upper-bound
- of all the disjuncts.
- */
- void collapse();
-
- //@} // Member Functions that May Modify the Powerset element
-
-protected:
- /*! \brief
- Returns <CODE>true</CODE> if and only if \p *this does not contain
- non-maximal elements.
- */
- bool is_omega_reduced() const;
-
- /*! \brief Upon return, \p *this will contain at most \p
- max_disjuncts elements; the set of disjuncts in positions greater
- than or equal to \p max_disjuncts, will be replaced at that
- position by their upper-bound.
- */
- void collapse(unsigned max_disjuncts);
-
- /*! \brief
- Adds to \p *this the disjunct \p d,
- assuming \p d is not the bottom element and ensuring
- partial Omega-reduction.
-
- If \p d is not the bottom element and is not Omega-redundant with
- respect to elements in positions between \p first and \p last, all
- elements in these positions that would be made Omega-redundant by the
- addition of \p d are dropped and \p d is added to the reduced
- sequence.
- If \p *this is reduced before an invocation of this method,
- it will be reduced upon successful return from the method.
- */
- iterator add_non_bottom_disjunct_preserve_reduction(const D& d,
- iterator first,
- iterator last);
-
- /*! \brief
- Adds to \p *this the disjunct \p d, assuming \p d is not the
- bottom element and preserving Omega-reduction.
-
- If \p *this is reduced before an invocation of this method,
- it will be reduced upon successful return from the method.
- */
- void add_non_bottom_disjunct_preserve_reduction(const D& d);
-
- /*! \brief
- Assigns to \p *this the result of applying \p op_assign pairwise
- to the elements in \p *this and \p y.
-
- The elements of the powerset result are obtained by applying
- \p op_assign to each pair of elements whose components are drawn
- from \p *this and \p y, respectively.
- */
- template <typename Binary_Operator_Assign>
- void pairwise_apply_assign(const Powerset& y,
- Binary_Operator_Assign op_assign);
-
-private:
- /*! \brief
- Does the hard work of checking whether \p *this contains non-maximal
- elements and returns <CODE>true</CODE> if and only if it does not.
- */
- bool check_omega_reduced() const;
-
- /*! \brief
- Replaces the disjunct \p *sink by an upper bound of itself and
- all the disjuncts following it.
- */
- void collapse(Sequence_iterator sink);
-};
-
-#include "Powerset.inlines.hh"
-#include "Powerset.templates.hh"
-
-#endif // !defined(PPL_Powerset_defs_hh)
diff --git a/src/Powerset.inlines.hh b/src/Powerset.inlines.hh
deleted file mode 100644
index 9811a31..0000000
--- a/src/Powerset.inlines.hh
+++ /dev/null
@@ -1,231 +0,0 @@
-/* Powerset class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Powerset_inlines_hh
-#define PPL_Powerset_inlines_hh 1
-
-#include <algorithm>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D>
-inline typename Powerset<D>::iterator
-Powerset<D>::begin() {
- return sequence.begin();
-}
-
-template <typename D>
-inline typename Powerset<D>::iterator
-Powerset<D>::end() {
- return sequence.end();
-}
-
-template <typename D>
-inline typename Powerset<D>::const_iterator
-Powerset<D>::begin() const {
- return sequence.begin();
-}
-
-template <typename D>
-inline typename Powerset<D>::const_iterator
-Powerset<D>::end() const {
- return sequence.end();
-}
-
-template <typename D>
-inline typename Powerset<D>::reverse_iterator
-Powerset<D>::rbegin() {
- return reverse_iterator(end());
-}
-
-template <typename D>
-inline typename Powerset<D>::reverse_iterator
-Powerset<D>::rend() {
- return reverse_iterator(begin());
-}
-
-template <typename D>
-inline typename Powerset<D>::const_reverse_iterator
-Powerset<D>::rbegin() const {
- return const_reverse_iterator(end());
-}
-
-template <typename D>
-inline typename Powerset<D>::const_reverse_iterator
-Powerset<D>::rend() const {
- return const_reverse_iterator(begin());
-}
-
-template <typename D>
-inline typename Powerset<D>::size_type
-Powerset<D>::size() const {
- return sequence.size();
-}
-
-template <typename D>
-inline bool
-Powerset<D>::empty() const {
- return sequence.empty();
-}
-
-template <typename D>
-inline typename Powerset<D>::iterator
-Powerset<D>::drop_disjunct(iterator position) {
- return sequence.erase(position.base);
-}
-
-template <typename D>
-inline void
-Powerset<D>::drop_disjuncts(iterator first, iterator last) {
- sequence.erase(first.base, last.base);
-}
-
-template <typename D>
-inline void
-Powerset<D>::clear() {
- sequence.clear();
-}
-
-template <typename D>
-inline
-Powerset<D>::Powerset(const Powerset& y)
- : sequence(y.sequence), reduced(y.reduced) {
-}
-
-template <typename D>
-inline Powerset<D>&
-Powerset<D>::operator=(const Powerset& y) {
- sequence = y.sequence;
- reduced = y.reduced;
- return *this;
-}
-
-template <typename D>
-inline void
-Powerset<D>::m_swap(Powerset& y) {
- using std::swap;
- swap(sequence, y.sequence);
- swap(reduced, y.reduced);
-}
-
-template <typename D>
-inline
-Powerset<D>::Powerset()
- : sequence(), reduced(true) {
-}
-
-template <typename D>
-inline
-Powerset<D>::Powerset(const D& d)
- : sequence(), reduced(false) {
- sequence.push_back(d);
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename D>
-inline
-Powerset<D>::~Powerset() {
-}
-
-template <typename D>
-inline void
-Powerset<D>::add_non_bottom_disjunct_preserve_reduction(const D& d) {
- // !d.is_bottom() is asserted by the callee.
- add_non_bottom_disjunct_preserve_reduction(d, begin(), end());
-}
-
-template <typename D>
-inline void
-Powerset<D>::add_disjunct(const D& d) {
- sequence.push_back(d);
- reduced = false;
-}
-
-/*! \relates Powerset */
-template <typename D>
-inline
-bool operator!=(const Powerset<D>& x, const Powerset<D>& y) {
- return !(x == y);
-}
-
-template <typename D>
-inline bool
-Powerset<D>::is_top() const {
- // Must perform omega-reduction for correctness.
- omega_reduce();
- const_iterator xi = begin();
- const_iterator x_end = end();
- return xi != x_end && xi->is_top() && ++xi == x_end;
-}
-
-template <typename D>
-inline bool
-Powerset<D>::is_bottom() const {
- // Must perform omega-reduction for correctness.
- omega_reduce();
- return empty();
-}
-
-template <typename D>
-inline void
-Powerset<D>::collapse() {
- if (!empty())
- collapse(sequence.begin());
-}
-
-template <typename D>
-inline void
-Powerset<D>::meet_assign(const Powerset& y) {
- pairwise_apply_assign(y, std::mem_fun_ref(&D::meet_assign));
-}
-
-template <typename D>
-inline void
-Powerset<D>::upper_bound_assign(const Powerset& y) {
- least_upper_bound_assign(y);
-}
-
-template <typename D>
-inline bool
-Powerset<D>::upper_bound_assign_if_exact(const Powerset& y) {
- least_upper_bound_assign(y);
- return true;
-}
-
-template <typename D>
-inline memory_size_type
-Powerset<D>::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-/*! \relates Powerset */
-template <typename D>
-inline void
-swap(Powerset<D>& x, Powerset<D>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Powerset_inlines_hh)
diff --git a/src/Powerset.templates.hh b/src/Powerset.templates.hh
deleted file mode 100644
index 80e6864..0000000
--- a/src/Powerset.templates.hh
+++ /dev/null
@@ -1,312 +0,0 @@
-/* Powerset class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Powerset_templates_hh
-#define PPL_Powerset_templates_hh 1
-
-#include "globals.defs.hh"
-#include <algorithm>
-#include "assert.hh"
-#include <iostream>
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D>
-void
-Powerset<D>::collapse(const Sequence_iterator sink) {
- PPL_ASSERT(sink != sequence.end());
- D& d = *sink;
- iterator x_sink = sink;
- iterator next_x_sink = x_sink;
- ++next_x_sink;
- iterator x_end = end();
- for (const_iterator xi = next_x_sink; xi != x_end; ++xi)
- d.upper_bound_assign(*xi);
- // Drop the surplus disjuncts.
- drop_disjuncts(next_x_sink, x_end);
-
- // Ensure omega-reduction.
- for (iterator xi = begin(); xi != x_sink; )
- if (xi->definitely_entails(d))
- xi = drop_disjunct(xi);
- else
- ++xi;
-
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename D>
-void
-Powerset<D>::omega_reduce() const {
- if (reduced)
- return;
-
- Powerset& x = const_cast<Powerset&>(*this);
- // First remove all bottom elements.
- for (iterator xi = x.begin(), x_end = x.end(); xi != x_end; )
- if (xi->is_bottom())
- xi = x.drop_disjunct(xi);
- else
- ++xi;
- // Then remove non-maximal elements.
- for (iterator xi = x.begin(); xi != x.end(); ) {
- const D& xv = *xi;
- bool dropping_xi = false;
- for (iterator yi = x.begin(); yi != x.end(); )
- if (xi == yi)
- ++yi;
- else {
- const D& yv = *yi;
- if (yv.definitely_entails(xv))
- yi = x.drop_disjunct(yi);
- else if (xv.definitely_entails(yv)) {
- dropping_xi = true;
- break;
- }
- else
- ++yi;
- }
- if (dropping_xi)
- xi = x.drop_disjunct(xi);
- else
- ++xi;
- if (abandon_expensive_computations != 0 && xi != x.end()) {
- // Hurry up!
- x.collapse(xi.base);
- break;
- }
- }
- reduced = true;
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename D>
-void
-Powerset<D>::collapse(const unsigned max_disjuncts) {
- PPL_ASSERT(max_disjuncts > 0);
- // Omega-reduce before counting the number of disjuncts.
- omega_reduce();
- size_type n = size();
- if (n > max_disjuncts) {
- // Let `i' point to the last disjunct that will survive.
- iterator i = begin();
- std::advance(i, max_disjuncts-1);
- // This disjunct will be assigned an upper-bound of itself and of
- // all the disjuncts that follow.
- collapse(i.base);
- }
- PPL_ASSERT_HEAVY(OK());
- PPL_ASSERT(is_omega_reduced());
-}
-
-template <typename D>
-bool
-Powerset<D>::check_omega_reduced() const {
- for (const_iterator x_begin = begin(), x_end = end(),
- xi = x_begin; xi != x_end; ++xi) {
- const D& xv = *xi;
- if (xv.is_bottom())
- return false;
- for (const_iterator yi = x_begin; yi != x_end; ++yi) {
- if (xi == yi)
- continue;
- const D& yv = *yi;
- if (xv.definitely_entails(yv) || yv.definitely_entails(xv))
- return false;
- }
- }
- return true;
-}
-
-template <typename D>
-bool
-Powerset<D>::is_omega_reduced() const {
- if (!reduced && check_omega_reduced())
- reduced = true;
- return reduced;
-}
-
-template <typename D>
-typename Powerset<D>::iterator
-Powerset<D>::add_non_bottom_disjunct_preserve_reduction(const D& d,
- iterator first,
- iterator last) {
- PPL_ASSERT_HEAVY(!d.is_bottom());
- for (iterator xi = first; xi != last; ) {
- const D& xv = *xi;
- if (d.definitely_entails(xv))
- return first;
- else if (xv.definitely_entails(d)) {
- if (xi == first)
- ++first;
- xi = drop_disjunct(xi);
- }
- else
- ++xi;
- }
- sequence.push_back(d);
- PPL_ASSERT_HEAVY(OK());
- return first;
-}
-
-template <typename D>
-bool
-Powerset<D>::definitely_entails(const Powerset& y) const {
- const Powerset<D>& x = *this;
- bool found = true;
- for (const_iterator xi = x.begin(),
- x_end = x.end(); found && xi != x_end; ++xi) {
- found = false;
- for (const_iterator yi = y.begin(),
- y_end = y.end(); !found && yi != y_end; ++yi)
- found = (*xi).definitely_entails(*yi);
- }
- return found;
-}
-
-/*! \relates Powerset */
-template <typename D>
-bool
-operator==(const Powerset<D>& x, const Powerset<D>& y) {
- x.omega_reduce();
- y.omega_reduce();
- if (x.size() != y.size())
- return false;
- // Take a copy of `y' and work with it.
- Powerset<D> z = y;
- for (typename Powerset<D>::const_iterator xi = x.begin(),
- x_end = x.end(); xi != x_end; ++xi) {
- typename Powerset<D>::iterator zi = z.begin();
- typename Powerset<D>::iterator z_end = z.end();
- zi = std::find(zi, z_end, *xi);
- if (zi == z_end)
- return false;
- else
- z.drop_disjunct(zi);
- }
- return true;
-}
-
-template <typename D>
-template <typename Binary_Operator_Assign>
-void
-Powerset<D>::pairwise_apply_assign(const Powerset& y,
- Binary_Operator_Assign op_assign) {
- // Ensure omega-reduction here, since what follows has quadratic complexity.
- omega_reduce();
- y.omega_reduce();
- Sequence new_sequence;
- for (const_iterator xi = begin(), x_end = end(),
- y_begin = y.begin(), y_end = y.end(); xi != x_end; ++xi)
- for (const_iterator yi = y_begin; yi != y_end; ++yi) {
- D zi = *xi;
- op_assign(zi, *yi);
- if (!zi.is_bottom())
- new_sequence.push_back(zi);
- }
- // Put the new sequence in place.
- using std::swap;
- swap(sequence, new_sequence);
- reduced = false;
- PPL_ASSERT_HEAVY(OK());
-}
-
-template <typename D>
-void
-Powerset<D>::least_upper_bound_assign(const Powerset& y) {
- // Ensure omega-reduction here, since what follows has quadratic complexity.
- omega_reduce();
- y.omega_reduce();
- iterator old_begin = begin();
- iterator old_end = end();
- for (const_iterator i = y.begin(), y_end = y.end(); i != y_end; ++i)
- old_begin = add_non_bottom_disjunct_preserve_reduction(*i,
- old_begin,
- old_end);
- PPL_ASSERT_HEAVY(OK());
-}
-
-namespace IO_Operators {
-
-/*! \relates Parma_Polyhedra_Library::Powerset */
-template <typename D>
-std::ostream&
-operator<<(std::ostream& s, const Powerset<D>& x) {
- if (x.is_bottom())
- s << "false";
- else if (x.is_top())
- s << "true";
- else
- for (typename Powerset<D>::const_iterator i = x.begin(),
- x_end = x.end(); i != x_end; ) {
- s << "{ " << *i << " }";
- ++i;
- if (i != x_end)
- s << ", ";
- }
- return s;
-}
-
-} // namespace IO_Operators
-
-template <typename D>
-memory_size_type
-Powerset<D>::external_memory_in_bytes() const {
- memory_size_type bytes = 0;
- for (const_iterator xi = begin(), x_end = end(); xi != x_end; ++xi) {
- bytes += xi->total_memory_in_bytes();
- // We assume there is at least a forward and a backward link, and
- // that the pointers implementing them are at least the size of
- // pointers to `D'.
- bytes += 2*sizeof(D*);
- }
- return bytes;
-}
-
-template <typename D>
-bool
-Powerset<D>::OK(const bool disallow_bottom) const {
- for (const_iterator xi = begin(), x_end = end(); xi != x_end; ++xi) {
- if (!xi->OK())
- return false;
- if (disallow_bottom && xi->is_bottom()) {
-#ifndef NDEBUG
- std::cerr << "Bottom element in powerset!"
- << std::endl;
-#endif
- return false;
- }
- }
- if (reduced && !check_omega_reduced()) {
-#ifndef NDEBUG
- std::cerr << "Powerset claims to be reduced, but it is not!"
- << std::endl;
-#endif
- return false;
- }
- return true;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Powerset_templates_hh)
diff --git a/src/Powerset.types.hh b/src/Powerset.types.hh
deleted file mode 100644
index 1707752..0000000
--- a/src/Powerset.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Powerset_types_hh
-#define PPL_Powerset_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename D>
-class Powerset;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Powerset_types_hh)
diff --git a/src/Powerset_defs.hh b/src/Powerset_defs.hh
new file mode 100644
index 0000000..1fae637
--- /dev/null
+++ b/src/Powerset_defs.hh
@@ -0,0 +1,450 @@
+/* Powerset class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Powerset_defs_hh
+#define PPL_Powerset_defs_hh
+
+#include "Powerset_types.hh"
+#include "globals_types.hh"
+#include "iterator_to_const_defs.hh"
+#include <iosfwd>
+#include <iterator>
+#include <list>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Powerset */
+template <typename D>
+void swap(Powerset<D>& x, Powerset<D>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equivalent.
+/*! \relates Powerset */
+template <typename D>
+bool
+operator==(const Powerset<D>& x, const Powerset<D>& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are not equivalent.
+/*! \relates Powerset */
+template <typename D>
+bool
+operator!=(const Powerset<D>& x, const Powerset<D>& y);
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Powerset */
+template <typename D>
+std::ostream&
+operator<<(std::ostream& s, const Powerset<D>& x);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+
+//! The powerset construction on a base-level domain.
+/*! \ingroup PPL_CXX_interface
+ This class offers a generic implementation of a
+ <EM>powerset</EM> domain as defined in Section \ref powerset.
+
+ Besides invoking the available methods on the disjuncts of a Powerset,
+ this class also provides bidirectional iterators that allow for a
+ direct inspection of these disjuncts. For a consistent handling of
+ Omega-reduction, all the iterators are <EM>read-only</EM>, meaning
+ that the disjuncts cannot be overwritten. Rather, by using the class
+ <CODE>iterator</CODE>, it is possible to drop one or more disjuncts
+ (possibly so as to later add back modified versions). As an example
+ of iterator usage, the following template function drops from
+ powerset \p ps all the disjuncts that would have become redundant by
+ the addition of an external element \p d.
+
+ \code
+template <typename D>
+void
+drop_subsumed(Powerset<D>& ps, const D& d) {
+ for (typename Powerset<D>::iterator i = ps.begin(),
+ ps_end = ps.end(), i != ps_end; )
+ if (i->definitely_entails(d))
+ i = ps.drop_disjunct(i);
+ else
+ ++i;
+}
+ \endcode
+
+ The template class D must provide the following methods.
+ \code
+ memory_size_type total_memory_in_bytes() const
+ \endcode
+ Returns a lower bound on the total size in bytes of the memory
+ occupied by the instance of D.
+ \code
+ bool is_top() const
+ \endcode
+ Returns <CODE>true</CODE> if and only if the instance of D is the top
+ element of the domain.
+ \code
+ bool is_bottom() const
+ \endcode
+ Returns <CODE>true</CODE> if and only if the instance of D is the
+ bottom element of the domain.
+ \code
+ bool definitely_entails(const D& y) const
+ \endcode
+ Returns <CODE>true</CODE> if the instance of D definitely entails
+ <CODE>y</CODE>. Returns <CODE>false</CODE> if the instance may not
+ entail <CODE>y</CODE> (i.e., if the instance does not entail
+ <CODE>y</CODE> or if entailment could not be decided).
+ \code
+ void upper_bound_assign(const D& y)
+ \endcode
+ Assigns to the instance of D an upper bound of the instance and
+ <CODE>y</CODE>.
+ \code
+ void meet_assign(const D& y)
+ \endcode
+ Assigns to the instance of D the meet of the instance and
+ <CODE>y</CODE>.
+ \code
+ bool OK() const
+ \endcode
+ Returns <CODE>true</CODE> if the instance of D is in a consistent
+ state, else returns <CODE>false</CODE>.
+
+ The following operators on the template class D must be defined.
+ \code
+ operator<<(std::ostream& s, const D& x)
+ \endcode
+ Writes a textual representation of the instance of D on
+ <CODE>s</CODE>.
+ \code
+ operator==(const D& x, const D& y)
+ \endcode
+ Returns <CODE>true</CODE> if and only if <CODE>x</CODE> and
+ <CODE>y</CODE> are equivalent D's.
+ \code
+ operator!=(const D& x, const D& y)
+ \endcode
+ Returns <CODE>true</CODE> if and only if <CODE>x</CODE> and
+ <CODE>y</CODE> are different D's.
+*/
+template <typename D>
+class Parma_Polyhedra_Library::Powerset {
+public:
+ //! \name Constructors and Destructor
+ //@{
+
+ /*! \brief
+ Default constructor: builds the bottom of the powerset constraint
+ system (i.e., the empty powerset).
+ */
+ Powerset();
+
+ //! Copy constructor.
+ Powerset(const Powerset& y);
+
+ /*! \brief
+ If \p d is not bottom, builds a powerset containing only \p d.
+ Builds the empty powerset otherwise.
+ */
+ explicit Powerset(const D& d);
+
+ //! Destructor.
+ ~Powerset();
+
+ //@} // Constructors and Destructor
+
+ //! \name Member Functions that Do Not Modify the Powerset Object
+ //@{
+
+ /*! \brief
+ Returns <CODE>true</CODE> if \p *this definitely entails \p y.
+ Returns <CODE>false</CODE> if \p *this may not entail \p y
+ (i.e., if \p *this does not entail \p y or if entailment could
+ not be decided).
+ */
+ bool definitely_entails(const Powerset& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is the top
+ element of the powerset constraint system (i.e., it represents
+ the universe).
+ */
+ bool is_top() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this is the bottom
+ element of the powerset constraint system (i.e., it represents
+ the empty set).
+ */
+ bool is_bottom() const;
+
+ /*! \brief
+ Returns a lower bound to the total size in bytes of the memory
+ occupied by \p *this.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ /*! \brief
+ Returns a lower bound to the size in bytes of the memory
+ managed by \p *this.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ // FIXME: document and perhaps use an enum instead of a bool.
+ bool OK(bool disallow_bottom = false) const;
+
+ //@} // Member Functions that Do Not Modify the Powerset Object
+
+protected:
+ //! A powerset is implemented as a sequence of elements.
+ /*!
+ The particular sequence employed must support efficient deletion
+ in any position and efficient back insertion.
+ */
+ typedef std::list<D> Sequence;
+
+ //! Alias for the low-level iterator on the disjuncts.
+ typedef typename Sequence::iterator Sequence_iterator;
+
+ //! Alias for the low-level %const_iterator on the disjuncts.
+ typedef typename Sequence::const_iterator Sequence_const_iterator;
+
+ //! The sequence container holding powerset's elements.
+ Sequence sequence;
+
+ //! If <CODE>true</CODE>, \p *this is Omega-reduced.
+ mutable bool reduced;
+
+public:
+ // Sequence manipulation types, accessors and modifiers
+ typedef typename Sequence::size_type size_type;
+ typedef typename Sequence::value_type value_type;
+
+ /*! \brief
+ Alias for a <EM>read-only</EM> bidirectional %iterator on the
+ disjuncts of a Powerset element.
+
+ By using this iterator type, the disjuncts cannot be overwritten,
+ but they can be removed using methods
+ <CODE>drop_disjunct(iterator position)</CODE> and
+ <CODE>drop_disjuncts(iterator first, iterator last)</CODE>,
+ while still ensuring a correct handling of Omega-reduction.
+ */
+ typedef iterator_to_const<Sequence> iterator;
+
+ //! A bidirectional %const_iterator on the disjuncts of a Powerset element.
+ typedef const_iterator_to_const<Sequence> const_iterator;
+
+ //! The reverse iterator type built from Powerset::iterator.
+ typedef std::reverse_iterator<iterator> reverse_iterator;
+
+ //! The reverse iterator type built from Powerset::const_iterator.
+ typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+
+ //! \name Member Functions for the Direct Manipulation of Disjuncts
+ //@{
+
+ /*! \brief
+ Drops from the sequence of disjuncts in \p *this all the
+ non-maximal elements so that \p *this is non-redundant.
+
+ This method is declared <CODE>const</CODE> because, even though
+ Omega-reduction may change the syntactic representation of \p *this,
+ its semantics will be unchanged.
+ */
+ void omega_reduce() const;
+
+ //! Returns the number of disjuncts.
+ size_type size() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if there are no disjuncts in
+ \p *this.
+ */
+ bool empty() const;
+
+ /*! \brief
+ Returns an iterator pointing to the first disjunct, if \p *this
+ is not empty; otherwise, returns the past-the-end iterator.
+ */
+ iterator begin();
+
+ //! Returns the past-the-end iterator.
+ iterator end();
+
+ /*! \brief
+ Returns a const_iterator pointing to the first disjunct, if \p *this
+ is not empty; otherwise, returns the past-the-end const_iterator.
+ */
+ const_iterator begin() const;
+
+ //! Returns the past-the-end const_iterator.
+ const_iterator end() const;
+
+ /*! \brief
+ Returns a reverse_iterator pointing to the last disjunct, if \p *this
+ is not empty; otherwise, returns the before-the-start reverse_iterator.
+ */
+ reverse_iterator rbegin();
+
+ //! Returns the before-the-start reverse_iterator.
+ reverse_iterator rend();
+
+ /*! \brief
+ Returns a const_reverse_iterator pointing to the last disjunct,
+ if \p *this is not empty; otherwise, returns the before-the-start
+ const_reverse_iterator.
+ */
+ const_reverse_iterator rbegin() const;
+
+ //! Returns the before-the-start const_reverse_iterator.
+ const_reverse_iterator rend() const;
+
+ //! Adds to \p *this the disjunct \p d.
+ void add_disjunct(const D& d);
+
+ /*! \brief
+ Drops the disjunct in \p *this pointed to by \p position, returning
+ an iterator to the disjunct following \p position.
+ */
+ iterator drop_disjunct(iterator position);
+
+ //! Drops all the disjuncts from \p first to \p last (excluded).
+ void drop_disjuncts(iterator first, iterator last);
+
+ //! Drops all the disjuncts, making \p *this an empty powerset.
+ void clear();
+
+ //@} // Member Functions for the Direct Manipulation of Disjuncts
+
+ //! \name Member Functions that May Modify the Powerset Object
+ //@{
+
+ //! The assignment operator.
+ Powerset& operator=(const Powerset& y);
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Powerset& y);
+
+ //! Assigns to \p *this the least upper bound of \p *this and \p y.
+ void least_upper_bound_assign(const Powerset& y);
+
+ //! Assigns to \p *this an upper bound of \p *this and \p y.
+ /*!
+ The result will be the least upper bound of \p *this and \p y.
+ */
+ void upper_bound_assign(const Powerset& y);
+
+ /*! \brief
+ Assigns to \p *this the least upper bound of \p *this and \p y
+ and returns \c true.
+
+ \exception std::invalid_argument
+ Thrown if \p *this and \p y are dimension-incompatible.
+ */
+ bool upper_bound_assign_if_exact(const Powerset& y);
+
+ //! Assigns to \p *this the meet of \p *this and \p y.
+ void meet_assign(const Powerset& y);
+
+ /*! \brief
+ If \p *this is not empty (i.e., it is not the bottom element),
+ it is reduced to a singleton obtained by computing an upper-bound
+ of all the disjuncts.
+ */
+ void collapse();
+
+ //@} // Member Functions that May Modify the Powerset element
+
+protected:
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if \p *this does not contain
+ non-maximal elements.
+ */
+ bool is_omega_reduced() const;
+
+ /*! \brief Upon return, \p *this will contain at most \p
+ max_disjuncts elements; the set of disjuncts in positions greater
+ than or equal to \p max_disjuncts, will be replaced at that
+ position by their upper-bound.
+ */
+ void collapse(unsigned max_disjuncts);
+
+ /*! \brief
+ Adds to \p *this the disjunct \p d,
+ assuming \p d is not the bottom element and ensuring
+ partial Omega-reduction.
+
+ If \p d is not the bottom element and is not Omega-redundant with
+ respect to elements in positions between \p first and \p last, all
+ elements in these positions that would be made Omega-redundant by the
+ addition of \p d are dropped and \p d is added to the reduced
+ sequence.
+ If \p *this is reduced before an invocation of this method,
+ it will be reduced upon successful return from the method.
+ */
+ iterator add_non_bottom_disjunct_preserve_reduction(const D& d,
+ iterator first,
+ iterator last);
+
+ /*! \brief
+ Adds to \p *this the disjunct \p d, assuming \p d is not the
+ bottom element and preserving Omega-reduction.
+
+ If \p *this is reduced before an invocation of this method,
+ it will be reduced upon successful return from the method.
+ */
+ void add_non_bottom_disjunct_preserve_reduction(const D& d);
+
+ /*! \brief
+ Assigns to \p *this the result of applying \p op_assign pairwise
+ to the elements in \p *this and \p y.
+
+ The elements of the powerset result are obtained by applying
+ \p op_assign to each pair of elements whose components are drawn
+ from \p *this and \p y, respectively.
+ */
+ template <typename Binary_Operator_Assign>
+ void pairwise_apply_assign(const Powerset& y,
+ Binary_Operator_Assign op_assign);
+
+private:
+ /*! \brief
+ Does the hard work of checking whether \p *this contains non-maximal
+ elements and returns <CODE>true</CODE> if and only if it does not.
+ */
+ bool check_omega_reduced() const;
+
+ /*! \brief
+ Replaces the disjunct \p *sink by an upper bound of itself and
+ all the disjuncts following it.
+ */
+ void collapse(Sequence_iterator sink);
+};
+
+#include "Powerset_inlines.hh"
+#include "Powerset_templates.hh"
+
+#endif // !defined(PPL_Powerset_defs_hh)
diff --git a/src/Powerset_inlines.hh b/src/Powerset_inlines.hh
new file mode 100644
index 0000000..ca473a2
--- /dev/null
+++ b/src/Powerset_inlines.hh
@@ -0,0 +1,231 @@
+/* Powerset class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Powerset_inlines_hh
+#define PPL_Powerset_inlines_hh 1
+
+#include <algorithm>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D>
+inline typename Powerset<D>::iterator
+Powerset<D>::begin() {
+ return sequence.begin();
+}
+
+template <typename D>
+inline typename Powerset<D>::iterator
+Powerset<D>::end() {
+ return sequence.end();
+}
+
+template <typename D>
+inline typename Powerset<D>::const_iterator
+Powerset<D>::begin() const {
+ return sequence.begin();
+}
+
+template <typename D>
+inline typename Powerset<D>::const_iterator
+Powerset<D>::end() const {
+ return sequence.end();
+}
+
+template <typename D>
+inline typename Powerset<D>::reverse_iterator
+Powerset<D>::rbegin() {
+ return reverse_iterator(end());
+}
+
+template <typename D>
+inline typename Powerset<D>::reverse_iterator
+Powerset<D>::rend() {
+ return reverse_iterator(begin());
+}
+
+template <typename D>
+inline typename Powerset<D>::const_reverse_iterator
+Powerset<D>::rbegin() const {
+ return const_reverse_iterator(end());
+}
+
+template <typename D>
+inline typename Powerset<D>::const_reverse_iterator
+Powerset<D>::rend() const {
+ return const_reverse_iterator(begin());
+}
+
+template <typename D>
+inline typename Powerset<D>::size_type
+Powerset<D>::size() const {
+ return sequence.size();
+}
+
+template <typename D>
+inline bool
+Powerset<D>::empty() const {
+ return sequence.empty();
+}
+
+template <typename D>
+inline typename Powerset<D>::iterator
+Powerset<D>::drop_disjunct(iterator position) {
+ return sequence.erase(position.base);
+}
+
+template <typename D>
+inline void
+Powerset<D>::drop_disjuncts(iterator first, iterator last) {
+ sequence.erase(first.base, last.base);
+}
+
+template <typename D>
+inline void
+Powerset<D>::clear() {
+ sequence.clear();
+}
+
+template <typename D>
+inline
+Powerset<D>::Powerset(const Powerset& y)
+ : sequence(y.sequence), reduced(y.reduced) {
+}
+
+template <typename D>
+inline Powerset<D>&
+Powerset<D>::operator=(const Powerset& y) {
+ sequence = y.sequence;
+ reduced = y.reduced;
+ return *this;
+}
+
+template <typename D>
+inline void
+Powerset<D>::m_swap(Powerset& y) {
+ using std::swap;
+ swap(sequence, y.sequence);
+ swap(reduced, y.reduced);
+}
+
+template <typename D>
+inline
+Powerset<D>::Powerset()
+ : sequence(), reduced(true) {
+}
+
+template <typename D>
+inline
+Powerset<D>::Powerset(const D& d)
+ : sequence(), reduced(false) {
+ sequence.push_back(d);
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename D>
+inline
+Powerset<D>::~Powerset() {
+}
+
+template <typename D>
+inline void
+Powerset<D>::add_non_bottom_disjunct_preserve_reduction(const D& d) {
+ // !d.is_bottom() is asserted by the callee.
+ add_non_bottom_disjunct_preserve_reduction(d, begin(), end());
+}
+
+template <typename D>
+inline void
+Powerset<D>::add_disjunct(const D& d) {
+ sequence.push_back(d);
+ reduced = false;
+}
+
+/*! \relates Powerset */
+template <typename D>
+inline
+bool operator!=(const Powerset<D>& x, const Powerset<D>& y) {
+ return !(x == y);
+}
+
+template <typename D>
+inline bool
+Powerset<D>::is_top() const {
+ // Must perform omega-reduction for correctness.
+ omega_reduce();
+ const_iterator xi = begin();
+ const_iterator x_end = end();
+ return xi != x_end && xi->is_top() && ++xi == x_end;
+}
+
+template <typename D>
+inline bool
+Powerset<D>::is_bottom() const {
+ // Must perform omega-reduction for correctness.
+ omega_reduce();
+ return empty();
+}
+
+template <typename D>
+inline void
+Powerset<D>::collapse() {
+ if (!empty())
+ collapse(sequence.begin());
+}
+
+template <typename D>
+inline void
+Powerset<D>::meet_assign(const Powerset& y) {
+ pairwise_apply_assign(y, std::mem_fun_ref(&D::meet_assign));
+}
+
+template <typename D>
+inline void
+Powerset<D>::upper_bound_assign(const Powerset& y) {
+ least_upper_bound_assign(y);
+}
+
+template <typename D>
+inline bool
+Powerset<D>::upper_bound_assign_if_exact(const Powerset& y) {
+ least_upper_bound_assign(y);
+ return true;
+}
+
+template <typename D>
+inline memory_size_type
+Powerset<D>::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+/*! \relates Powerset */
+template <typename D>
+inline void
+swap(Powerset<D>& x, Powerset<D>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Powerset_inlines_hh)
diff --git a/src/Powerset_templates.hh b/src/Powerset_templates.hh
new file mode 100644
index 0000000..bb0556b
--- /dev/null
+++ b/src/Powerset_templates.hh
@@ -0,0 +1,312 @@
+/* Powerset class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Powerset_templates_hh
+#define PPL_Powerset_templates_hh 1
+
+#include "globals_defs.hh"
+#include <algorithm>
+#include "assert.hh"
+#include <iostream>
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D>
+void
+Powerset<D>::collapse(const Sequence_iterator sink) {
+ PPL_ASSERT(sink != sequence.end());
+ D& d = *sink;
+ iterator x_sink = sink;
+ iterator next_x_sink = x_sink;
+ ++next_x_sink;
+ iterator x_end = end();
+ for (const_iterator xi = next_x_sink; xi != x_end; ++xi)
+ d.upper_bound_assign(*xi);
+ // Drop the surplus disjuncts.
+ drop_disjuncts(next_x_sink, x_end);
+
+ // Ensure omega-reduction.
+ for (iterator xi = begin(); xi != x_sink; )
+ if (xi->definitely_entails(d))
+ xi = drop_disjunct(xi);
+ else
+ ++xi;
+
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename D>
+void
+Powerset<D>::omega_reduce() const {
+ if (reduced)
+ return;
+
+ Powerset& x = const_cast<Powerset&>(*this);
+ // First remove all bottom elements.
+ for (iterator xi = x.begin(), x_end = x.end(); xi != x_end; )
+ if (xi->is_bottom())
+ xi = x.drop_disjunct(xi);
+ else
+ ++xi;
+ // Then remove non-maximal elements.
+ for (iterator xi = x.begin(); xi != x.end(); ) {
+ const D& xv = *xi;
+ bool dropping_xi = false;
+ for (iterator yi = x.begin(); yi != x.end(); )
+ if (xi == yi)
+ ++yi;
+ else {
+ const D& yv = *yi;
+ if (yv.definitely_entails(xv))
+ yi = x.drop_disjunct(yi);
+ else if (xv.definitely_entails(yv)) {
+ dropping_xi = true;
+ break;
+ }
+ else
+ ++yi;
+ }
+ if (dropping_xi)
+ xi = x.drop_disjunct(xi);
+ else
+ ++xi;
+ if (abandon_expensive_computations != 0 && xi != x.end()) {
+ // Hurry up!
+ x.collapse(xi.base);
+ break;
+ }
+ }
+ reduced = true;
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename D>
+void
+Powerset<D>::collapse(const unsigned max_disjuncts) {
+ PPL_ASSERT(max_disjuncts > 0);
+ // Omega-reduce before counting the number of disjuncts.
+ omega_reduce();
+ size_type n = size();
+ if (n > max_disjuncts) {
+ // Let `i' point to the last disjunct that will survive.
+ iterator i = begin();
+ std::advance(i, max_disjuncts-1);
+ // This disjunct will be assigned an upper-bound of itself and of
+ // all the disjuncts that follow.
+ collapse(i.base);
+ }
+ PPL_ASSERT_HEAVY(OK());
+ PPL_ASSERT(is_omega_reduced());
+}
+
+template <typename D>
+bool
+Powerset<D>::check_omega_reduced() const {
+ for (const_iterator x_begin = begin(), x_end = end(),
+ xi = x_begin; xi != x_end; ++xi) {
+ const D& xv = *xi;
+ if (xv.is_bottom())
+ return false;
+ for (const_iterator yi = x_begin; yi != x_end; ++yi) {
+ if (xi == yi)
+ continue;
+ const D& yv = *yi;
+ if (xv.definitely_entails(yv) || yv.definitely_entails(xv))
+ return false;
+ }
+ }
+ return true;
+}
+
+template <typename D>
+bool
+Powerset<D>::is_omega_reduced() const {
+ if (!reduced && check_omega_reduced())
+ reduced = true;
+ return reduced;
+}
+
+template <typename D>
+typename Powerset<D>::iterator
+Powerset<D>::add_non_bottom_disjunct_preserve_reduction(const D& d,
+ iterator first,
+ iterator last) {
+ PPL_ASSERT_HEAVY(!d.is_bottom());
+ for (iterator xi = first; xi != last; ) {
+ const D& xv = *xi;
+ if (d.definitely_entails(xv))
+ return first;
+ else if (xv.definitely_entails(d)) {
+ if (xi == first)
+ ++first;
+ xi = drop_disjunct(xi);
+ }
+ else
+ ++xi;
+ }
+ sequence.push_back(d);
+ PPL_ASSERT_HEAVY(OK());
+ return first;
+}
+
+template <typename D>
+bool
+Powerset<D>::definitely_entails(const Powerset& y) const {
+ const Powerset<D>& x = *this;
+ bool found = true;
+ for (const_iterator xi = x.begin(),
+ x_end = x.end(); found && xi != x_end; ++xi) {
+ found = false;
+ for (const_iterator yi = y.begin(),
+ y_end = y.end(); !found && yi != y_end; ++yi)
+ found = (*xi).definitely_entails(*yi);
+ }
+ return found;
+}
+
+/*! \relates Powerset */
+template <typename D>
+bool
+operator==(const Powerset<D>& x, const Powerset<D>& y) {
+ x.omega_reduce();
+ y.omega_reduce();
+ if (x.size() != y.size())
+ return false;
+ // Take a copy of `y' and work with it.
+ Powerset<D> z = y;
+ for (typename Powerset<D>::const_iterator xi = x.begin(),
+ x_end = x.end(); xi != x_end; ++xi) {
+ typename Powerset<D>::iterator zi = z.begin();
+ typename Powerset<D>::iterator z_end = z.end();
+ zi = std::find(zi, z_end, *xi);
+ if (zi == z_end)
+ return false;
+ else
+ z.drop_disjunct(zi);
+ }
+ return true;
+}
+
+template <typename D>
+template <typename Binary_Operator_Assign>
+void
+Powerset<D>::pairwise_apply_assign(const Powerset& y,
+ Binary_Operator_Assign op_assign) {
+ // Ensure omega-reduction here, since what follows has quadratic complexity.
+ omega_reduce();
+ y.omega_reduce();
+ Sequence new_sequence;
+ for (const_iterator xi = begin(), x_end = end(),
+ y_begin = y.begin(), y_end = y.end(); xi != x_end; ++xi)
+ for (const_iterator yi = y_begin; yi != y_end; ++yi) {
+ D zi = *xi;
+ op_assign(zi, *yi);
+ if (!zi.is_bottom())
+ new_sequence.push_back(zi);
+ }
+ // Put the new sequence in place.
+ using std::swap;
+ swap(sequence, new_sequence);
+ reduced = false;
+ PPL_ASSERT_HEAVY(OK());
+}
+
+template <typename D>
+void
+Powerset<D>::least_upper_bound_assign(const Powerset& y) {
+ // Ensure omega-reduction here, since what follows has quadratic complexity.
+ omega_reduce();
+ y.omega_reduce();
+ iterator old_begin = begin();
+ iterator old_end = end();
+ for (const_iterator i = y.begin(), y_end = y.end(); i != y_end; ++i)
+ old_begin = add_non_bottom_disjunct_preserve_reduction(*i,
+ old_begin,
+ old_end);
+ PPL_ASSERT_HEAVY(OK());
+}
+
+namespace IO_Operators {
+
+/*! \relates Parma_Polyhedra_Library::Powerset */
+template <typename D>
+std::ostream&
+operator<<(std::ostream& s, const Powerset<D>& x) {
+ if (x.is_bottom())
+ s << "false";
+ else if (x.is_top())
+ s << "true";
+ else
+ for (typename Powerset<D>::const_iterator i = x.begin(),
+ x_end = x.end(); i != x_end; ) {
+ s << "{ " << *i << " }";
+ ++i;
+ if (i != x_end)
+ s << ", ";
+ }
+ return s;
+}
+
+} // namespace IO_Operators
+
+template <typename D>
+memory_size_type
+Powerset<D>::external_memory_in_bytes() const {
+ memory_size_type bytes = 0;
+ for (const_iterator xi = begin(), x_end = end(); xi != x_end; ++xi) {
+ bytes += xi->total_memory_in_bytes();
+ // We assume there is at least a forward and a backward link, and
+ // that the pointers implementing them are at least the size of
+ // pointers to `D'.
+ bytes += 2*sizeof(D*);
+ }
+ return bytes;
+}
+
+template <typename D>
+bool
+Powerset<D>::OK(const bool disallow_bottom) const {
+ for (const_iterator xi = begin(), x_end = end(); xi != x_end; ++xi) {
+ if (!xi->OK())
+ return false;
+ if (disallow_bottom && xi->is_bottom()) {
+#ifndef NDEBUG
+ std::cerr << "Bottom element in powerset!"
+ << std::endl;
+#endif
+ return false;
+ }
+ }
+ if (reduced && !check_omega_reduced()) {
+#ifndef NDEBUG
+ std::cerr << "Powerset claims to be reduced, but it is not!"
+ << std::endl;
+#endif
+ return false;
+ }
+ return true;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Powerset_templates_hh)
diff --git a/src/Powerset_types.hh b/src/Powerset_types.hh
new file mode 100644
index 0000000..30deeb6
--- /dev/null
+++ b/src/Powerset_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Powerset_types_hh
+#define PPL_Powerset_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename D>
+class Powerset;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Powerset_types_hh)
diff --git a/src/Ptr_Iterator.defs.hh b/src/Ptr_Iterator.defs.hh
deleted file mode 100644
index 2f6c852..0000000
--- a/src/Ptr_Iterator.defs.hh
+++ /dev/null
@@ -1,172 +0,0 @@
-/* Ptr_Iterator class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Ptr_Iterator_defs_hh
-#define PPL_Ptr_Iterator_defs_hh 1
-
-#include "Ptr_Iterator.types.hh"
-#include <iterator>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-template<typename P, typename Q>
-bool operator==(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P, typename Q>
-bool operator!=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P, typename Q>
-bool operator<(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P, typename Q>
-bool operator<=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P, typename Q>
-bool operator>(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P, typename Q>
-bool operator>=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P, typename Q>
-typename Ptr_Iterator<P>::difference_type
-operator-(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
-
-template<typename P>
-Ptr_Iterator<P> operator+(typename Ptr_Iterator<P>::difference_type m,
- const Ptr_Iterator<P>& y);
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A class to define STL const and non-const iterators from pointer types.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename P>
-class Parma_Polyhedra_Library::Implementation::Ptr_Iterator
- : public std::iterator<typename std::iterator_traits<P>::iterator_category,
- typename std::iterator_traits<P>::value_type,
- typename std::iterator_traits<P>::difference_type,
- typename std::iterator_traits<P>::pointer,
- typename std::iterator_traits<P>::reference> {
-public:
- typedef typename std::iterator_traits<P>::difference_type difference_type;
- typedef typename std::iterator_traits<P>::reference reference;
- typedef typename std::iterator_traits<P>::pointer pointer;
-
- //! Default constructor: no guarantees.
- Ptr_Iterator();
-
- //! Construct an iterator pointing at \p q.
- explicit Ptr_Iterator(const P& q);
-
- /*! \brief
- Copy constructor allowing the construction of a const_iterator
- from a non-const iterator.
- */
- template<typename Q>
- Ptr_Iterator(const Ptr_Iterator<Q>& q);
-
- //! Dereference operator.
- reference operator*() const;
-
- //! Indirect member selector.
- pointer operator->() const;
-
- //! Subscript operator.
- reference operator[](const difference_type m) const;
-
- //! Prefix increment operator.
- Ptr_Iterator& operator++();
-
- //! Postfix increment operator.
- Ptr_Iterator operator++(int);
-
- //! Prefix decrement operator
- Ptr_Iterator& operator--();
-
- //! Postfix decrement operator.
- Ptr_Iterator operator--(int);
-
- //! Assignment-increment operator.
- Ptr_Iterator& operator+=(const difference_type m);
-
- //! Assignment-decrement operator.
- Ptr_Iterator& operator-=(const difference_type m);
-
- //! Returns the difference between \p *this and \p y.
- difference_type operator-(const Ptr_Iterator& y) const;
-
- //! Returns the sum of \p *this and \p m.
- Ptr_Iterator operator+(const difference_type m) const;
-
- //! Returns the difference of \p *this and \p m.
- Ptr_Iterator operator-(const difference_type m) const;
-
-private:
- //! The base pointer implementing the iterator.
- P p;
-
- //! Returns the hidden pointer.
- const P& base() const;
-
- template <typename Q, typename R>
- friend bool Parma_Polyhedra_Library::Implementation::
- operator==(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- template <typename Q, typename R>
- friend bool Parma_Polyhedra_Library::Implementation::
- operator!=(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- template<typename Q, typename R>
- friend bool Parma_Polyhedra_Library::Implementation::
- operator<(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- template<typename Q, typename R>
- friend bool Parma_Polyhedra_Library::Implementation::
- operator<=(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- template<typename Q, typename R>
- friend bool Parma_Polyhedra_Library::Implementation::
- operator>(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- template<typename Q, typename R>
- friend bool Parma_Polyhedra_Library::Implementation::
- operator>=(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- template<typename Q, typename R>
- friend typename Ptr_Iterator<Q>::difference_type
- Parma_Polyhedra_Library::Implementation::
- operator-(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
-
- friend Ptr_Iterator<P>
- Parma_Polyhedra_Library::Implementation::
- operator+<>(typename Ptr_Iterator<P>::difference_type m,
- const Ptr_Iterator<P>& y);
-};
-
-#include "Ptr_Iterator.inlines.hh"
-
-#endif // !defined(PPL_Ptr_Iterator_defs_hh)
diff --git a/src/Ptr_Iterator.inlines.hh b/src/Ptr_Iterator.inlines.hh
deleted file mode 100644
index 62a7095..0000000
--- a/src/Ptr_Iterator.inlines.hh
+++ /dev/null
@@ -1,189 +0,0 @@
-/* Ptr_Iterator class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Ptr_Iterator_inlines_hh
-#define PPL_Ptr_Iterator_inlines_hh 1
-
-#include <algorithm>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-template <typename P>
-inline const P&
-Ptr_Iterator<P>::base() const {
- return p;
-}
-
-template <typename P>
-inline
-Ptr_Iterator<P>::Ptr_Iterator()
- : p(P()) {
-}
-
-template <typename P>
-inline
-Ptr_Iterator<P>::Ptr_Iterator(const P& q)
- : p(q) {
-}
-
-template <typename P>
-template <typename Q>
-inline
-Ptr_Iterator<P>::Ptr_Iterator(const Ptr_Iterator<Q>& q)
- : p(q.base()) {
-}
-
-template <typename P>
-inline typename Ptr_Iterator<P>::reference
-Ptr_Iterator<P>::operator*() const {
- return *p;
-}
-
-template <typename P>
-inline typename Ptr_Iterator<P>::pointer
-Ptr_Iterator<P>::operator->() const {
- return p;
-}
-
-template <typename P>
-inline typename Ptr_Iterator<P>::reference
-Ptr_Iterator<P>::operator[](const difference_type m) const {
- return p[m];
-}
-
-template <typename P>
-inline Ptr_Iterator<P>&
-Ptr_Iterator<P>::operator++() {
- ++p;
- return *this;
-}
-
-template <typename P>
-inline Ptr_Iterator<P>
-Ptr_Iterator<P>::operator++(int) {
- return Ptr_Iterator(p++);
-}
-
-template <typename P>
-inline Ptr_Iterator<P>&
-Ptr_Iterator<P>::operator--() {
- --p;
- return *this;
-}
-
-template <typename P>
-inline Ptr_Iterator<P>
-Ptr_Iterator<P>::operator--(int) {
- return Ptr_Iterator(p--);
-}
-
-
-template <typename P>
-inline Ptr_Iterator<P>&
-Ptr_Iterator<P>::operator+=(const difference_type m) {
- p += m;
- return *this;
-}
-
-template <typename P>
-inline Ptr_Iterator<P>&
-Ptr_Iterator<P>::operator-=(const difference_type m) {
- p -= m;
- return *this;
-}
-
-template <typename P>
-inline typename Ptr_Iterator<P>::difference_type
-Ptr_Iterator<P>::operator-(const Ptr_Iterator& y) const {
- return p - y.p;
-}
-
-template <typename P>
-inline Ptr_Iterator<P>
-Ptr_Iterator<P>::operator+(const difference_type m) const {
- return Ptr_Iterator(p + m);
-}
-
-template <typename P>
-inline Ptr_Iterator<P>
-Ptr_Iterator<P>::operator-(const difference_type m) const {
- return Ptr_Iterator(p - m);
-}
-
-template<typename P, typename Q>
-inline bool
-operator==(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() == y.base();
-}
-
-template<typename P, typename Q>
-inline bool
-operator!=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() != y.base();
-}
-
-template<typename P, typename Q>
-inline bool
-operator<(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() < y.base();
-}
-
-template<typename P, typename Q>
-inline bool
-operator<=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() <= y.base();
-}
-
-template<typename P, typename Q>
-inline bool
-operator>(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() > y.base();
-}
-
-template<typename P, typename Q>
-inline bool
-operator>=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() >= y.base();
-}
-
-template<typename P, typename Q>
-inline typename Ptr_Iterator<P>::difference_type
-operator-(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
- return x.base() - y.base();
-}
-
-template<typename P>
-inline Ptr_Iterator<P>
-operator+(typename Ptr_Iterator<P>::difference_type m,
- const Ptr_Iterator<P>& y) {
- return Ptr_Iterator<P>(m + y.base());
-}
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Ptr_Iterator_inlines_hh)
diff --git a/src/Ptr_Iterator.types.hh b/src/Ptr_Iterator.types.hh
deleted file mode 100644
index f710f72..0000000
--- a/src/Ptr_Iterator.types.hh
+++ /dev/null
@@ -1,27 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Ptr_Iterator_types_hh
-#define PPL_Ptr_Iterator_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-template <typename P>
-class Ptr_Iterator;
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Ptr_Iterator_types_hh)
diff --git a/src/Ptr_Iterator_defs.hh b/src/Ptr_Iterator_defs.hh
new file mode 100644
index 0000000..a2dc3fd
--- /dev/null
+++ b/src/Ptr_Iterator_defs.hh
@@ -0,0 +1,172 @@
+/* Ptr_Iterator class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Ptr_Iterator_defs_hh
+#define PPL_Ptr_Iterator_defs_hh 1
+
+#include "Ptr_Iterator_types.hh"
+#include <iterator>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template<typename P, typename Q>
+bool operator==(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P, typename Q>
+bool operator!=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P, typename Q>
+bool operator<(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P, typename Q>
+bool operator<=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P, typename Q>
+bool operator>(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P, typename Q>
+bool operator>=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P, typename Q>
+typename Ptr_Iterator<P>::difference_type
+operator-(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
+
+template<typename P>
+Ptr_Iterator<P> operator+(typename Ptr_Iterator<P>::difference_type m,
+ const Ptr_Iterator<P>& y);
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A class to define STL const and non-const iterators from pointer types.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename P>
+class Parma_Polyhedra_Library::Implementation::Ptr_Iterator
+ : public std::iterator<typename std::iterator_traits<P>::iterator_category,
+ typename std::iterator_traits<P>::value_type,
+ typename std::iterator_traits<P>::difference_type,
+ typename std::iterator_traits<P>::pointer,
+ typename std::iterator_traits<P>::reference> {
+public:
+ typedef typename std::iterator_traits<P>::difference_type difference_type;
+ typedef typename std::iterator_traits<P>::reference reference;
+ typedef typename std::iterator_traits<P>::pointer pointer;
+
+ //! Default constructor: no guarantees.
+ Ptr_Iterator();
+
+ //! Construct an iterator pointing at \p q.
+ explicit Ptr_Iterator(const P& q);
+
+ /*! \brief
+ Copy constructor allowing the construction of a const_iterator
+ from a non-const iterator.
+ */
+ template<typename Q>
+ Ptr_Iterator(const Ptr_Iterator<Q>& q);
+
+ //! Dereference operator.
+ reference operator*() const;
+
+ //! Indirect member selector.
+ pointer operator->() const;
+
+ //! Subscript operator.
+ reference operator[](const difference_type m) const;
+
+ //! Prefix increment operator.
+ Ptr_Iterator& operator++();
+
+ //! Postfix increment operator.
+ Ptr_Iterator operator++(int);
+
+ //! Prefix decrement operator
+ Ptr_Iterator& operator--();
+
+ //! Postfix decrement operator.
+ Ptr_Iterator operator--(int);
+
+ //! Assignment-increment operator.
+ Ptr_Iterator& operator+=(const difference_type m);
+
+ //! Assignment-decrement operator.
+ Ptr_Iterator& operator-=(const difference_type m);
+
+ //! Returns the difference between \p *this and \p y.
+ difference_type operator-(const Ptr_Iterator& y) const;
+
+ //! Returns the sum of \p *this and \p m.
+ Ptr_Iterator operator+(const difference_type m) const;
+
+ //! Returns the difference of \p *this and \p m.
+ Ptr_Iterator operator-(const difference_type m) const;
+
+private:
+ //! The base pointer implementing the iterator.
+ P p;
+
+ //! Returns the hidden pointer.
+ const P& base() const;
+
+ template <typename Q, typename R>
+ friend bool Parma_Polyhedra_Library::Implementation::
+ operator==(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ template <typename Q, typename R>
+ friend bool Parma_Polyhedra_Library::Implementation::
+ operator!=(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ template<typename Q, typename R>
+ friend bool Parma_Polyhedra_Library::Implementation::
+ operator<(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ template<typename Q, typename R>
+ friend bool Parma_Polyhedra_Library::Implementation::
+ operator<=(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ template<typename Q, typename R>
+ friend bool Parma_Polyhedra_Library::Implementation::
+ operator>(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ template<typename Q, typename R>
+ friend bool Parma_Polyhedra_Library::Implementation::
+ operator>=(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ template<typename Q, typename R>
+ friend typename Ptr_Iterator<Q>::difference_type
+ Parma_Polyhedra_Library::Implementation::
+ operator-(const Ptr_Iterator<Q>& x, const Ptr_Iterator<R>& y);
+
+ friend Ptr_Iterator<P>
+ Parma_Polyhedra_Library::Implementation::
+ operator+<>(typename Ptr_Iterator<P>::difference_type m,
+ const Ptr_Iterator<P>& y);
+};
+
+#include "Ptr_Iterator_inlines.hh"
+
+#endif // !defined(PPL_Ptr_Iterator_defs_hh)
diff --git a/src/Ptr_Iterator_inlines.hh b/src/Ptr_Iterator_inlines.hh
new file mode 100644
index 0000000..dc1bdca
--- /dev/null
+++ b/src/Ptr_Iterator_inlines.hh
@@ -0,0 +1,189 @@
+/* Ptr_Iterator class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Ptr_Iterator_inlines_hh
+#define PPL_Ptr_Iterator_inlines_hh 1
+
+#include <algorithm>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename P>
+inline const P&
+Ptr_Iterator<P>::base() const {
+ return p;
+}
+
+template <typename P>
+inline
+Ptr_Iterator<P>::Ptr_Iterator()
+ : p(P()) {
+}
+
+template <typename P>
+inline
+Ptr_Iterator<P>::Ptr_Iterator(const P& q)
+ : p(q) {
+}
+
+template <typename P>
+template <typename Q>
+inline
+Ptr_Iterator<P>::Ptr_Iterator(const Ptr_Iterator<Q>& q)
+ : p(q.base()) {
+}
+
+template <typename P>
+inline typename Ptr_Iterator<P>::reference
+Ptr_Iterator<P>::operator*() const {
+ return *p;
+}
+
+template <typename P>
+inline typename Ptr_Iterator<P>::pointer
+Ptr_Iterator<P>::operator->() const {
+ return p;
+}
+
+template <typename P>
+inline typename Ptr_Iterator<P>::reference
+Ptr_Iterator<P>::operator[](const difference_type m) const {
+ return p[m];
+}
+
+template <typename P>
+inline Ptr_Iterator<P>&
+Ptr_Iterator<P>::operator++() {
+ ++p;
+ return *this;
+}
+
+template <typename P>
+inline Ptr_Iterator<P>
+Ptr_Iterator<P>::operator++(int) {
+ return Ptr_Iterator(p++);
+}
+
+template <typename P>
+inline Ptr_Iterator<P>&
+Ptr_Iterator<P>::operator--() {
+ --p;
+ return *this;
+}
+
+template <typename P>
+inline Ptr_Iterator<P>
+Ptr_Iterator<P>::operator--(int) {
+ return Ptr_Iterator(p--);
+}
+
+
+template <typename P>
+inline Ptr_Iterator<P>&
+Ptr_Iterator<P>::operator+=(const difference_type m) {
+ p += m;
+ return *this;
+}
+
+template <typename P>
+inline Ptr_Iterator<P>&
+Ptr_Iterator<P>::operator-=(const difference_type m) {
+ p -= m;
+ return *this;
+}
+
+template <typename P>
+inline typename Ptr_Iterator<P>::difference_type
+Ptr_Iterator<P>::operator-(const Ptr_Iterator& y) const {
+ return p - y.p;
+}
+
+template <typename P>
+inline Ptr_Iterator<P>
+Ptr_Iterator<P>::operator+(const difference_type m) const {
+ return Ptr_Iterator(p + m);
+}
+
+template <typename P>
+inline Ptr_Iterator<P>
+Ptr_Iterator<P>::operator-(const difference_type m) const {
+ return Ptr_Iterator(p - m);
+}
+
+template<typename P, typename Q>
+inline bool
+operator==(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() == y.base();
+}
+
+template<typename P, typename Q>
+inline bool
+operator!=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() != y.base();
+}
+
+template<typename P, typename Q>
+inline bool
+operator<(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() < y.base();
+}
+
+template<typename P, typename Q>
+inline bool
+operator<=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() <= y.base();
+}
+
+template<typename P, typename Q>
+inline bool
+operator>(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() > y.base();
+}
+
+template<typename P, typename Q>
+inline bool
+operator>=(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() >= y.base();
+}
+
+template<typename P, typename Q>
+inline typename Ptr_Iterator<P>::difference_type
+operator-(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
+ return x.base() - y.base();
+}
+
+template<typename P>
+inline Ptr_Iterator<P>
+operator+(typename Ptr_Iterator<P>::difference_type m,
+ const Ptr_Iterator<P>& y) {
+ return Ptr_Iterator<P>(m + y.base());
+}
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Ptr_Iterator_inlines_hh)
diff --git a/src/Ptr_Iterator_types.hh b/src/Ptr_Iterator_types.hh
new file mode 100644
index 0000000..f696d82
--- /dev/null
+++ b/src/Ptr_Iterator_types.hh
@@ -0,0 +1,27 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Ptr_Iterator_types_hh
+#define PPL_Ptr_Iterator_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename P>
+class Ptr_Iterator;
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Ptr_Iterator_types_hh)
diff --git a/src/Rational_Box.hh b/src/Rational_Box.hh
index 99d871b..374a060 100644
--- a/src/Rational_Box.hh
+++ b/src/Rational_Box.hh
@@ -1,6 +1,6 @@
/* Rational_Box class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -25,7 +25,7 @@ site: http://bugseng.com/products/ppl/ . */
#define PPL_Rational_Box_hh 1
#include "Rational_Interval.hh"
-#include "Box.defs.hh"
+#include "Box_defs.hh"
namespace Parma_Polyhedra_Library {
diff --git a/src/Rational_Interval.hh b/src/Rational_Interval.hh
index 950e69d..ec8331f 100644
--- a/src/Rational_Interval.hh
+++ b/src/Rational_Interval.hh
@@ -1,6 +1,6 @@
/* Rational_Interval class declaration and implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,7 +24,7 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_Rational_Interval_hh
#define PPL_Rational_Interval_hh 1
-#include "Interval.defs.hh"
+#include "Interval_defs.hh"
#include <gmpxx.h>
namespace Parma_Polyhedra_Library {
diff --git a/src/Result.defs.hh b/src/Result.defs.hh
deleted file mode 100644
index fa2fc2f..0000000
--- a/src/Result.defs.hh
+++ /dev/null
@@ -1,195 +0,0 @@
-/* Result enum and supporting function declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Result_defs_hh
-#define PPL_Result_defs_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-enum Result_Class {
- //! \hideinitializer Representable number result class.
- VC_NORMAL = 0U << 4,
-
- //! \hideinitializer Negative infinity result class.
- VC_MINUS_INFINITY = 1U << 4,
-
- //! \hideinitializer Positive infinity result class.
- VC_PLUS_INFINITY = 2U << 4,
-
- //! \hideinitializer Not a number result class.
- VC_NAN = 3U << 4,
-
- VC_MASK = VC_NAN
-};
-
-// This must be kept in sync with Relation_Symbol
-enum Result_Relation {
- //! \hideinitializer No values satisfies the relation.
- VR_EMPTY = 0U,
-
- //! \hideinitializer Equal. This need to be accompanied by a value.
- VR_EQ = 1U,
-
- //! \hideinitializer Less than. This need to be accompanied by a value.
- VR_LT = 2U,
-
- //! \hideinitializer Greater than. This need to be accompanied by a value.
- VR_GT = 4U,
-
- //! \hideinitializer Not equal. This need to be accompanied by a value.
- VR_NE = VR_LT | VR_GT,
-
- //! \hideinitializer Less or equal. This need to be accompanied by a value.
- VR_LE = VR_EQ | VR_LT,
-
- //! \hideinitializer Greater or equal. This need to be accompanied by a value.
- VR_GE = VR_EQ | VR_GT,
-
- //! \hideinitializer All values satisfy the relation.
- VR_LGE = VR_LT | VR_EQ | VR_GT,
-
- VR_MASK = VR_LGE
-};
-
-//! Possible outcomes of a checked arithmetic computation.
-/*! \ingroup PPL_CXX_interface */
-enum Result {
- //! \hideinitializer The exact result is not comparable.
- V_EMPTY = VR_EMPTY,
-
- //! \hideinitializer The computed result is exact.
- V_EQ = static_cast<unsigned>(VR_EQ),
-
- //! \hideinitializer The computed result is inexact and rounded up.
- V_LT = static_cast<unsigned>(VR_LT),
-
- //! \hideinitializer The computed result is inexact and rounded down.
- V_GT = static_cast<unsigned>(VR_GT),
-
- //! \hideinitializer The computed result is inexact.
- V_NE = VR_NE,
-
- //! \hideinitializer The computed result may be inexact and rounded up.
- V_LE = VR_LE,
-
- //! \hideinitializer The computed result may be inexact and rounded down.
- V_GE = VR_GE,
-
- //! \hideinitializer The computed result may be inexact.
- V_LGE = VR_LGE,
-
- //! \hideinitializer The exact result is a number out of finite bounds.
- V_OVERFLOW = 1U << 6,
-
- //! \hideinitializer A negative integer overflow occurred (rounding up).
- V_LT_INF = V_LT | V_OVERFLOW,
-
- //! \hideinitializer A positive integer overflow occurred (rounding down).
- V_GT_SUP = V_GT | V_OVERFLOW,
-
- //! \hideinitializer A positive integer overflow occurred (rounding up).
- V_LT_PLUS_INFINITY = V_LT | static_cast<unsigned>(VC_PLUS_INFINITY),
-
- //! \hideinitializer A negative integer overflow occurred (rounding down).
- V_GT_MINUS_INFINITY = V_GT | static_cast<unsigned>(VC_MINUS_INFINITY),
-
- //! \hideinitializer Negative infinity result.
- V_EQ_MINUS_INFINITY = V_EQ | static_cast<unsigned>(VC_MINUS_INFINITY),
-
- //! \hideinitializer Positive infinity result.
- V_EQ_PLUS_INFINITY = V_EQ | static_cast<unsigned>(VC_PLUS_INFINITY),
-
- //! \hideinitializer Not a number result.
- V_NAN = static_cast<unsigned>(VC_NAN),
-
- //! \hideinitializer Converting from unknown string.
- V_CVT_STR_UNK = V_NAN | (1U << 8),
-
- //! \hideinitializer Dividing by zero.
- V_DIV_ZERO = V_NAN | (2U << 8),
-
- //! \hideinitializer Adding two infinities having opposite signs.
- V_INF_ADD_INF = V_NAN | (3U << 8),
-
- //! \hideinitializer Dividing two infinities.
- V_INF_DIV_INF = V_NAN | (4U << 8),
-
- //! \hideinitializer Taking the modulus of an infinity.
- V_INF_MOD = V_NAN | (5U << 8),
-
- //! \hideinitializer Multiplying an infinity by zero.
- V_INF_MUL_ZERO = V_NAN | (6U << 8),
-
- //! \hideinitializer Subtracting two infinities having the same sign.
- V_INF_SUB_INF = V_NAN | (7U << 8),
-
- //! \hideinitializer Computing a remainder modulo zero.
- V_MOD_ZERO = V_NAN | (8U << 8),
-
- //! \hideinitializer Taking the square root of a negative number.
- V_SQRT_NEG = V_NAN | (9U << 8),
-
- //! \hideinitializer Unknown result due to intermediate negative overflow.
- V_UNKNOWN_NEG_OVERFLOW = V_NAN | (10U << 8),
-
- //! \hideinitializer Unknown result due to intermediate positive overflow.
- V_UNKNOWN_POS_OVERFLOW = V_NAN | (11U << 8),
-
- //! \hideinitializer The computed result is not representable.
- V_UNREPRESENTABLE = 1U << 7
-
-};
-
-//! \name Functions Inspecting and/or Combining Result Values
-//@{
-
-/*! \ingroup PPL_CXX_interface */
-Result operator&(Result x, Result y);
-
-/*! \ingroup PPL_CXX_interface */
-Result operator|(Result x, Result y);
-
-/*! \ingroup PPL_CXX_interface */
-Result operator-(Result x, Result y);
-
-/*! \brief \ingroup PPL_CXX_interface
- Extracts the value class part of \p r (representable number,
- unrepresentable minus/plus infinity or nan).
-*/
-Result_Class result_class(Result r);
-
-/*! \brief \ingroup PPL_CXX_interface
- Extracts the relation part of \p r.
-*/
-Result_Relation result_relation(Result r);
-
-/*! \ingroup PPL_CXX_interface */
-Result result_relation_class(Result r);
-
-//@} // Functions Inspecting and/or Combining Result Values
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Result.inlines.hh"
-
-#endif // !defined(PPL_Result_defs_hh)
diff --git a/src/Result.inlines.hh b/src/Result.inlines.hh
deleted file mode 100644
index 2f22082..0000000
--- a/src/Result.inlines.hh
+++ /dev/null
@@ -1,102 +0,0 @@
-/* Result supporting functions implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Result_inlines_hh
-#define PPL_Result_inlines_hh 1
-
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-/*! \ingroup PPL_CXX_interface */
-inline Result
-operator&(Result x, Result y) {
- unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
- return static_cast<Result>(res);
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Result
-operator|(Result x, Result y) {
- unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
- return static_cast<Result>(res);
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Result
-operator-(Result x, Result y) {
- Result y_neg = static_cast<Result>(~static_cast<unsigned>(y));
- return x & y_neg;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Result_Class
-result_class(Result r) {
- Result rc = r & static_cast<Result>(VC_MASK);
- return static_cast<Result_Class>(rc);
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Result_Relation
-result_relation(Result r) {
- Result rc = r & static_cast<Result>(VR_MASK);
- return static_cast<Result_Relation>(rc);
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Result
-result_relation_class(Result r) {
- return r & (static_cast<Result>(VR_MASK) | static_cast<Result>(VC_MASK));
-}
-
-inline int
-result_overflow(Result r) {
- switch (result_class(r)) {
- case VC_NORMAL:
- switch (r) {
- case V_LT_INF:
- return -1;
- case V_GT_SUP:
- return 1;
- default:
- break;
- }
- break;
- case VC_MINUS_INFINITY:
- return -1;
- case VC_PLUS_INFINITY:
- return 1;
- default:
- break;
- }
- return 0;
-}
-
-inline bool
-result_representable(Result r) {
- return (r & V_UNREPRESENTABLE) != V_UNREPRESENTABLE;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Result_inlines_hh)
diff --git a/src/Result_defs.hh b/src/Result_defs.hh
new file mode 100644
index 0000000..860a7b7
--- /dev/null
+++ b/src/Result_defs.hh
@@ -0,0 +1,195 @@
+/* Result enum and supporting function declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Result_defs_hh
+#define PPL_Result_defs_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+enum Result_Class {
+ //! \hideinitializer Representable number result class.
+ VC_NORMAL = 0U << 4,
+
+ //! \hideinitializer Negative infinity result class.
+ VC_MINUS_INFINITY = 1U << 4,
+
+ //! \hideinitializer Positive infinity result class.
+ VC_PLUS_INFINITY = 2U << 4,
+
+ //! \hideinitializer Not a number result class.
+ VC_NAN = 3U << 4,
+
+ VC_MASK = VC_NAN
+};
+
+// This must be kept in sync with Relation_Symbol
+enum Result_Relation {
+ //! \hideinitializer No values satisfies the relation.
+ VR_EMPTY = 0U,
+
+ //! \hideinitializer Equal. This need to be accompanied by a value.
+ VR_EQ = 1U,
+
+ //! \hideinitializer Less than. This need to be accompanied by a value.
+ VR_LT = 2U,
+
+ //! \hideinitializer Greater than. This need to be accompanied by a value.
+ VR_GT = 4U,
+
+ //! \hideinitializer Not equal. This need to be accompanied by a value.
+ VR_NE = VR_LT | VR_GT,
+
+ //! \hideinitializer Less or equal. This need to be accompanied by a value.
+ VR_LE = VR_EQ | VR_LT,
+
+ //! \hideinitializer Greater or equal. This need to be accompanied by a value.
+ VR_GE = VR_EQ | VR_GT,
+
+ //! \hideinitializer All values satisfy the relation.
+ VR_LGE = VR_LT | VR_EQ | VR_GT,
+
+ VR_MASK = VR_LGE
+};
+
+//! Possible outcomes of a checked arithmetic computation.
+/*! \ingroup PPL_CXX_interface */
+enum Result {
+ //! \hideinitializer The exact result is not comparable.
+ V_EMPTY = VR_EMPTY,
+
+ //! \hideinitializer The computed result is exact.
+ V_EQ = static_cast<unsigned>(VR_EQ),
+
+ //! \hideinitializer The computed result is inexact and rounded up.
+ V_LT = static_cast<unsigned>(VR_LT),
+
+ //! \hideinitializer The computed result is inexact and rounded down.
+ V_GT = static_cast<unsigned>(VR_GT),
+
+ //! \hideinitializer The computed result is inexact.
+ V_NE = VR_NE,
+
+ //! \hideinitializer The computed result may be inexact and rounded up.
+ V_LE = VR_LE,
+
+ //! \hideinitializer The computed result may be inexact and rounded down.
+ V_GE = VR_GE,
+
+ //! \hideinitializer The computed result may be inexact.
+ V_LGE = VR_LGE,
+
+ //! \hideinitializer The exact result is a number out of finite bounds.
+ V_OVERFLOW = 1U << 6,
+
+ //! \hideinitializer A negative integer overflow occurred (rounding up).
+ V_LT_INF = V_LT | V_OVERFLOW,
+
+ //! \hideinitializer A positive integer overflow occurred (rounding down).
+ V_GT_SUP = V_GT | V_OVERFLOW,
+
+ //! \hideinitializer A positive integer overflow occurred (rounding up).
+ V_LT_PLUS_INFINITY = V_LT | static_cast<unsigned>(VC_PLUS_INFINITY),
+
+ //! \hideinitializer A negative integer overflow occurred (rounding down).
+ V_GT_MINUS_INFINITY = V_GT | static_cast<unsigned>(VC_MINUS_INFINITY),
+
+ //! \hideinitializer Negative infinity result.
+ V_EQ_MINUS_INFINITY = V_EQ | static_cast<unsigned>(VC_MINUS_INFINITY),
+
+ //! \hideinitializer Positive infinity result.
+ V_EQ_PLUS_INFINITY = V_EQ | static_cast<unsigned>(VC_PLUS_INFINITY),
+
+ //! \hideinitializer Not a number result.
+ V_NAN = static_cast<unsigned>(VC_NAN),
+
+ //! \hideinitializer Converting from unknown string.
+ V_CVT_STR_UNK = V_NAN | (1U << 8),
+
+ //! \hideinitializer Dividing by zero.
+ V_DIV_ZERO = V_NAN | (2U << 8),
+
+ //! \hideinitializer Adding two infinities having opposite signs.
+ V_INF_ADD_INF = V_NAN | (3U << 8),
+
+ //! \hideinitializer Dividing two infinities.
+ V_INF_DIV_INF = V_NAN | (4U << 8),
+
+ //! \hideinitializer Taking the modulus of an infinity.
+ V_INF_MOD = V_NAN | (5U << 8),
+
+ //! \hideinitializer Multiplying an infinity by zero.
+ V_INF_MUL_ZERO = V_NAN | (6U << 8),
+
+ //! \hideinitializer Subtracting two infinities having the same sign.
+ V_INF_SUB_INF = V_NAN | (7U << 8),
+
+ //! \hideinitializer Computing a remainder modulo zero.
+ V_MOD_ZERO = V_NAN | (8U << 8),
+
+ //! \hideinitializer Taking the square root of a negative number.
+ V_SQRT_NEG = V_NAN | (9U << 8),
+
+ //! \hideinitializer Unknown result due to intermediate negative overflow.
+ V_UNKNOWN_NEG_OVERFLOW = V_NAN | (10U << 8),
+
+ //! \hideinitializer Unknown result due to intermediate positive overflow.
+ V_UNKNOWN_POS_OVERFLOW = V_NAN | (11U << 8),
+
+ //! \hideinitializer The computed result is not representable.
+ V_UNREPRESENTABLE = 1U << 7
+
+};
+
+//! \name Functions Inspecting and/or Combining Result Values
+//@{
+
+/*! \ingroup PPL_CXX_interface */
+Result operator&(Result x, Result y);
+
+/*! \ingroup PPL_CXX_interface */
+Result operator|(Result x, Result y);
+
+/*! \ingroup PPL_CXX_interface */
+Result operator-(Result x, Result y);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Extracts the value class part of \p r (representable number,
+ unrepresentable minus/plus infinity or nan).
+*/
+Result_Class result_class(Result r);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Extracts the relation part of \p r.
+*/
+Result_Relation result_relation(Result r);
+
+/*! \ingroup PPL_CXX_interface */
+Result result_relation_class(Result r);
+
+//@} // Functions Inspecting and/or Combining Result Values
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Result_inlines.hh"
+
+#endif // !defined(PPL_Result_defs_hh)
diff --git a/src/Result_inlines.hh b/src/Result_inlines.hh
new file mode 100644
index 0000000..a7ad02d
--- /dev/null
+++ b/src/Result_inlines.hh
@@ -0,0 +1,102 @@
+/* Result supporting functions implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Result_inlines_hh
+#define PPL_Result_inlines_hh 1
+
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+/*! \ingroup PPL_CXX_interface */
+inline Result
+operator&(Result x, Result y) {
+ const unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
+ return static_cast<Result>(res);
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Result
+operator|(Result x, Result y) {
+ const unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
+ return static_cast<Result>(res);
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Result
+operator-(Result x, Result y) {
+ const Result y_neg = static_cast<Result>(~static_cast<unsigned>(y));
+ return x & y_neg;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Result_Class
+result_class(Result r) {
+ const Result rc = r & static_cast<Result>(VC_MASK);
+ return static_cast<Result_Class>(rc);
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Result_Relation
+result_relation(Result r) {
+ const Result rc = r & static_cast<Result>(VR_MASK);
+ return static_cast<Result_Relation>(rc);
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Result
+result_relation_class(Result r) {
+ return r & (static_cast<Result>(VR_MASK) | static_cast<Result>(VC_MASK));
+}
+
+inline int
+result_overflow(Result r) {
+ switch (result_class(r)) {
+ case VC_NORMAL:
+ switch (r) {
+ case V_LT_INF:
+ return -1;
+ case V_GT_SUP:
+ return 1;
+ default:
+ break;
+ }
+ break;
+ case VC_MINUS_INFINITY:
+ return -1;
+ case VC_PLUS_INFINITY:
+ return 1;
+ default:
+ break;
+ }
+ return 0;
+}
+
+inline bool
+result_representable(Result r) {
+ return (r & V_UNREPRESENTABLE) != V_UNREPRESENTABLE;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Result_inlines_hh)
diff --git a/src/Rounding_Dir.defs.hh b/src/Rounding_Dir.defs.hh
deleted file mode 100644
index f9161f0..0000000
--- a/src/Rounding_Dir.defs.hh
+++ /dev/null
@@ -1,124 +0,0 @@
-/* Declaration of Rounding_Dir and related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Rounding_defs_hh
-#define PPL_Rounding_defs_hh 1
-
-#include "Result.defs.hh"
-#include "fpu.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-//! Rounding directions for arithmetic computations.
-/*! \ingroup PPL_CXX_interface */
-enum Rounding_Dir {
- /*! \hideinitializer
- Round toward \f$-\infty\f$.
- */
- ROUND_DOWN = 0U,
-
- /*! \hideinitializer
- Round toward \f$+\infty\f$.
- */
- ROUND_UP = 1U,
-
- /*! \hideinitializer
- Rounding is delegated to lower level. Result info is evaluated lazily.
- */
- ROUND_IGNORE = 6U,
- ROUND_NATIVE = ROUND_IGNORE,
-
- /*! \hideinitializer
- Rounding is not needed: client code must ensure that the operation
- result is exact and representable in the destination type.
- Result info is evaluated lazily.
- */
- ROUND_NOT_NEEDED = 7U,
-
- ROUND_DIRECT = ROUND_UP,
- ROUND_INVERSE = ROUND_DOWN,
-
- ROUND_DIR_MASK = 7U,
-
- /*! \hideinitializer
- The client code is willing to pay an extra price to know the exact
- relation between the exact result and the computed one.
- */
- ROUND_STRICT_RELATION = 8U,
-
- ROUND_CHECK = ROUND_DIRECT | ROUND_STRICT_RELATION
-};
-
-//! \name Functions Inspecting and/or Combining Rounding_Dir Values
-//@{
-
-/*! \ingroup PPL_CXX_interface */
-Rounding_Dir operator&(Rounding_Dir x, Rounding_Dir y);
-
-/*! \ingroup PPL_CXX_interface */
-Rounding_Dir operator|(Rounding_Dir x, Rounding_Dir y);
-
-/*! \brief \ingroup PPL_CXX_interface
- Returns the inverse rounding mode of \p dir,
- <CODE>ROUND_IGNORE</CODE> being the inverse of itself.
-*/
-Rounding_Dir inverse(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-Rounding_Dir round_dir(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_down(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_up(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_ignore(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_not_needed(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_not_requested(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_direct(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_inverse(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-bool round_strict_relation(Rounding_Dir dir);
-
-/*! \ingroup PPL_CXX_interface */
-fpu_rounding_direction_type round_fpu_dir(Rounding_Dir dir);
-
-//@} // Functions Inspecting and/or Combining Rounding_Dir Values
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Rounding_Dir.inlines.hh"
-
-#endif // !defined(PPL_Float_defs_hh)
-
diff --git a/src/Rounding_Dir.inlines.hh b/src/Rounding_Dir.inlines.hh
deleted file mode 100644
index 8b50802..0000000
--- a/src/Rounding_Dir.inlines.hh
+++ /dev/null
@@ -1,141 +0,0 @@
-/* Inline functions operating on enum Rounding_Dir values.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Rounding_Dir_inlines_hh
-#define PPL_Rounding_Dir_inlines_hh 1
-
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-/*! \ingroup PPL_CXX_interface */
-inline Rounding_Dir
-operator&(Rounding_Dir x, Rounding_Dir y) {
- unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
- return static_cast<Rounding_Dir>(res);
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Rounding_Dir
-operator|(Rounding_Dir x, Rounding_Dir y) {
- unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
- return static_cast<Rounding_Dir>(res);
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline Rounding_Dir
-round_dir(Rounding_Dir dir) {
- return dir & ROUND_DIR_MASK;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_down(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_DOWN;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_up(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_UP;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_ignore(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_IGNORE;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_not_needed(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_NOT_NEEDED;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_not_requested(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_IGNORE || round_dir(dir) == ROUND_NOT_NEEDED;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_direct(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_DIRECT;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_inverse(Rounding_Dir dir) {
- return round_dir(dir) == ROUND_INVERSE;
-}
-
-/*! \ingroup PPL_CXX_interface */
-inline bool
-round_strict_relation(Rounding_Dir dir) {
- return (dir & ROUND_STRICT_RELATION) == ROUND_STRICT_RELATION;
-}
-
-#if PPL_CAN_CONTROL_FPU
-
-/*! \ingroup PPL_CXX_interface */
-inline fpu_rounding_direction_type
-round_fpu_dir(Rounding_Dir dir) {
- switch (round_dir(dir)) {
- case ROUND_UP:
- return static_cast<fpu_rounding_direction_type>(PPL_FPU_UPWARD);
- case ROUND_DOWN:
- return static_cast<fpu_rounding_direction_type>(PPL_FPU_DOWNWARD);
- case ROUND_IGNORE: // Fall through.
- default:
- PPL_UNREACHABLE;
- return static_cast<fpu_rounding_direction_type>(PPL_FPU_UPWARD);
- }
-}
-
-#undef PPL_FPU_DOWNWARD
-#undef PPL_FPU_TONEAREST
-#undef PPL_FPU_TOWARDZERO
-#undef PPL_FPU_UPWARD
-
-#endif
-
-/*! \ingroup PPL_CXX_interface */
-inline Rounding_Dir
-inverse(Rounding_Dir dir) {
- switch (round_dir(dir)) {
- case ROUND_UP:
- return ROUND_DOWN | (dir & ROUND_STRICT_RELATION);
- case ROUND_DOWN:
- return ROUND_UP | (dir & ROUND_STRICT_RELATION);
- case ROUND_IGNORE:
- return dir;
- default:
- PPL_UNREACHABLE;
- return dir;
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Rounding_Dir_inlines_hh)
diff --git a/src/Rounding_Dir_defs.hh b/src/Rounding_Dir_defs.hh
new file mode 100644
index 0000000..82b403e
--- /dev/null
+++ b/src/Rounding_Dir_defs.hh
@@ -0,0 +1,124 @@
+/* Declaration of Rounding_Dir and related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Rounding_defs_hh
+#define PPL_Rounding_defs_hh 1
+
+#include "Result_defs.hh"
+#include "fpu_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+//! Rounding directions for arithmetic computations.
+/*! \ingroup PPL_CXX_interface */
+enum Rounding_Dir {
+ /*! \hideinitializer
+ Round toward \f$-\infty\f$.
+ */
+ ROUND_DOWN = 0U,
+
+ /*! \hideinitializer
+ Round toward \f$+\infty\f$.
+ */
+ ROUND_UP = 1U,
+
+ /*! \hideinitializer
+ Rounding is delegated to lower level. Result info is evaluated lazily.
+ */
+ ROUND_IGNORE = 6U,
+ ROUND_NATIVE = ROUND_IGNORE,
+
+ /*! \hideinitializer
+ Rounding is not needed: client code must ensure that the operation
+ result is exact and representable in the destination type.
+ Result info is evaluated lazily.
+ */
+ ROUND_NOT_NEEDED = 7U,
+
+ ROUND_DIRECT = ROUND_UP,
+ ROUND_INVERSE = ROUND_DOWN,
+
+ ROUND_DIR_MASK = 7U,
+
+ /*! \hideinitializer
+ The client code is willing to pay an extra price to know the exact
+ relation between the exact result and the computed one.
+ */
+ ROUND_STRICT_RELATION = 8U,
+
+ ROUND_CHECK = ROUND_DIRECT | ROUND_STRICT_RELATION
+};
+
+//! \name Functions Inspecting and/or Combining Rounding_Dir Values
+//@{
+
+/*! \ingroup PPL_CXX_interface */
+Rounding_Dir operator&(Rounding_Dir x, Rounding_Dir y);
+
+/*! \ingroup PPL_CXX_interface */
+Rounding_Dir operator|(Rounding_Dir x, Rounding_Dir y);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Returns the inverse rounding mode of \p dir,
+ <CODE>ROUND_IGNORE</CODE> being the inverse of itself.
+*/
+Rounding_Dir inverse(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+Rounding_Dir round_dir(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_down(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_up(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_ignore(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_not_needed(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_not_requested(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_direct(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_inverse(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+bool round_strict_relation(Rounding_Dir dir);
+
+/*! \ingroup PPL_CXX_interface */
+fpu_rounding_direction_type round_fpu_dir(Rounding_Dir dir);
+
+//@} // Functions Inspecting and/or Combining Rounding_Dir Values
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Rounding_Dir_inlines.hh"
+
+#endif // !defined(PPL_Float_defs_hh)
+
diff --git a/src/Rounding_Dir_inlines.hh b/src/Rounding_Dir_inlines.hh
new file mode 100644
index 0000000..e838463
--- /dev/null
+++ b/src/Rounding_Dir_inlines.hh
@@ -0,0 +1,141 @@
+/* Inline functions operating on enum Rounding_Dir values.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Rounding_Dir_inlines_hh
+#define PPL_Rounding_Dir_inlines_hh 1
+
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+/*! \ingroup PPL_CXX_interface */
+inline Rounding_Dir
+operator&(Rounding_Dir x, Rounding_Dir y) {
+ const unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
+ return static_cast<Rounding_Dir>(res);
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Rounding_Dir
+operator|(Rounding_Dir x, Rounding_Dir y) {
+ const unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
+ return static_cast<Rounding_Dir>(res);
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline Rounding_Dir
+round_dir(Rounding_Dir dir) {
+ return dir & ROUND_DIR_MASK;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_down(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_DOWN;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_up(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_UP;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_ignore(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_IGNORE;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_not_needed(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_NOT_NEEDED;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_not_requested(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_IGNORE || round_dir(dir) == ROUND_NOT_NEEDED;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_direct(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_DIRECT;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_inverse(Rounding_Dir dir) {
+ return round_dir(dir) == ROUND_INVERSE;
+}
+
+/*! \ingroup PPL_CXX_interface */
+inline bool
+round_strict_relation(Rounding_Dir dir) {
+ return (dir & ROUND_STRICT_RELATION) == ROUND_STRICT_RELATION;
+}
+
+#if PPL_CAN_CONTROL_FPU
+
+/*! \ingroup PPL_CXX_interface */
+inline fpu_rounding_direction_type
+round_fpu_dir(Rounding_Dir dir) {
+ switch (round_dir(dir)) {
+ case ROUND_UP:
+ return static_cast<fpu_rounding_direction_type>(PPL_FPU_UPWARD);
+ case ROUND_DOWN:
+ return static_cast<fpu_rounding_direction_type>(PPL_FPU_DOWNWARD);
+ case ROUND_IGNORE: // Fall through.
+ default:
+ PPL_UNREACHABLE;
+ return static_cast<fpu_rounding_direction_type>(PPL_FPU_UPWARD);
+ }
+}
+
+#undef PPL_FPU_DOWNWARD
+#undef PPL_FPU_TONEAREST
+#undef PPL_FPU_TOWARDZERO
+#undef PPL_FPU_UPWARD
+
+#endif
+
+/*! \ingroup PPL_CXX_interface */
+inline Rounding_Dir
+inverse(Rounding_Dir dir) {
+ switch (round_dir(dir)) {
+ case ROUND_UP:
+ return ROUND_DOWN | (dir & ROUND_STRICT_RELATION);
+ case ROUND_DOWN:
+ return ROUND_UP | (dir & ROUND_STRICT_RELATION);
+ case ROUND_IGNORE:
+ return dir;
+ default:
+ PPL_UNREACHABLE;
+ return dir;
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Rounding_Dir_inlines_hh)
diff --git a/src/Scalar_Products.cc b/src/Scalar_Products.cc
index caa9ffc..b1729b0 100644
--- a/src/Scalar_Products.cc
+++ b/src/Scalar_Products.cc
@@ -1,6 +1,6 @@
/* Scalar_Products class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,15 +22,15 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Scalar_Products.defs.hh"
-#include "Scalar_Products.inlines.hh"
-#include "Coefficient.defs.hh"
+#include "Scalar_Products_defs.hh"
+#include "Scalar_Products_inlines.hh"
+#include "Coefficient_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
void
PPL::Scalar_Products::assign(Coefficient& z,
- const Linear_Expression& x,
+ const Linear_Expression& x,
const Linear_Expression& y) {
x.scalar_product_assign(z, y);
}
@@ -49,31 +49,30 @@ PPL::Scalar_Products::assign(Coefficient& z,
void
PPL::Scalar_Products::assign(Coefficient& z,
- const Grid_Generator& gg, const Congruence& cg) {
- gg.expr.scalar_product_assign(z, cg.expression(),
- 0, gg.space_dimension() + 1);
+ const Grid_Generator& gg, const Congruence& cg) {
+ gg.expr.scalar_product_assign(z, cg.expr, 0, gg.space_dimension() + 1);
}
void
PPL::Scalar_Products::assign(Coefficient& z,
- const Constraint& c,
- const Grid_Generator& gg) {
+ const Constraint& c,
+ const Grid_Generator& gg) {
assign(z, c.expr, gg.expr);
}
void
PPL::Scalar_Products::assign(Coefficient& z,
- const Congruence& cg, const Grid_Generator& gg) {
+ const Congruence& cg, const Grid_Generator& gg) {
// Scalar product is only defined if `cg' and `gg' are
// dimension-compatible.
PPL_ASSERT(cg.space_dimension() <= gg.space_dimension());
- cg.expression().scalar_product_assign(z, gg.expr);
+ cg.expr.scalar_product_assign(z, gg.expr);
}
void
PPL::Scalar_Products::reduced_assign(Coefficient& z,
- const Linear_Expression& x,
- const Linear_Expression& y) {
+ const Linear_Expression& x,
+ const Linear_Expression& y) {
// The reduced scalar product is only defined
// if `y' has enough coefficients.
PPL_ASSERT(x.space_dimension() - 1 <= y.space_dimension());
@@ -82,18 +81,18 @@ PPL::Scalar_Products::reduced_assign(Coefficient& z,
void
PPL::Scalar_Products::reduced_assign(Coefficient& z,
- const Grid_Generator& gg,
- const Congruence& cg) {
- // The reduced scalar product is only defined if the topology of `gg'
- // is NNC and `cg' has enough coefficients.
+ const Grid_Generator& gg,
+ const Congruence& cg) {
+ // The reduced scalar product is only defined
+ // if `cg' has enough coefficients.
PPL_ASSERT(gg.space_dimension() <= cg.space_dimension());
- gg.expr.scalar_product_assign(z, cg.expression(), 0, gg.space_dimension());
+ gg.expr.scalar_product_assign(z, cg.expr, 0, gg.space_dimension());
}
void
PPL::Scalar_Products::homogeneous_assign(Coefficient& z,
- const Linear_Expression& x,
- const Linear_Expression& y) {
+ const Linear_Expression& x,
+ const Linear_Expression& y) {
// Scalar product is only defined if `x' and `y' are
// dimension-compatible.
PPL_ASSERT(x.space_dimension() <= y.space_dimension());
@@ -102,19 +101,18 @@ PPL::Scalar_Products::homogeneous_assign(Coefficient& z,
void
PPL::Scalar_Products::homogeneous_assign(Coefficient& z,
- const Grid_Generator& gg,
- const Congruence& cg) {
+ const Grid_Generator& gg,
+ const Congruence& cg) {
// Scalar product is only defined if `gg' and `cg' are
// dimension-compatible.
PPL_ASSERT(gg.space_dimension() <= cg.space_dimension());
- gg.expr.scalar_product_assign(z, cg.expression(),
- 1, gg.space_dimension() + 1);
+ gg.expr.scalar_product_assign(z, cg.expr, 1, gg.space_dimension() + 1);
}
void
PPL::Scalar_Products::homogeneous_assign(Coefficient& z,
- const Grid_Generator& gg,
- const Constraint& c) {
+ const Grid_Generator& gg,
+ const Constraint& c) {
// Scalar product is only defined if `gg' and `c' are
// dimension-compatible.
PPL_ASSERT(gg.space_dimension() <= c.space_dimension());
diff --git a/src/Scalar_Products.defs.hh b/src/Scalar_Products.defs.hh
deleted file mode 100644
index 7effccc..0000000
--- a/src/Scalar_Products.defs.hh
+++ /dev/null
@@ -1,226 +0,0 @@
-/* Scalar_Products class definition.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Scalar_Products_defs_hh
-#define PPL_Scalar_Products_defs_hh 1
-
-#include "Scalar_Products.types.hh"
-#include "Coefficient.types.hh"
-#include "Linear_Expression.types.hh"
-#include "Constraint.types.hh"
-#include "Generator.types.hh"
-#include "Congruence.types.hh"
-#include "Grid_Generator.types.hh"
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A class implementing various scalar product functions.
-/*! \ingroup PPL_CXX_interface
- When computing the scalar product of (Linear_Expression or Constraint or
- Generator) objects <CODE>x</CODE> and <CODE>y</CODE>, it is assumed
- that the space dimension of the first object <CODE>x</CODE> is less
- than or equal to the space dimension of the second object <CODE>y</CODE>.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Scalar_Products {
-public:
- //! Computes the scalar product of \p x and \p y and assigns it to \p z.
- static void assign(Coefficient& z,
- const Linear_Expression& x, const Linear_Expression& y);
-
- //! Computes the scalar product of \p c and \p g and assigns it to \p z.
- static void assign(Coefficient& z, const Constraint& c, const Generator& g);
-
- //! Computes the scalar product of \p g and \p c and assigns it to \p z.
- static void assign(Coefficient& z, const Generator& g, const Constraint& c);
-
- //! Computes the scalar product of \p c and \p g and assigns it to \p z.
- static void assign(Coefficient& z,
- const Constraint& c, const Grid_Generator& gg);
-
- //! Computes the scalar product of \p g and \p cg and assigns it to \p z.
- static void assign(Coefficient& z,
- const Grid_Generator& gg, const Congruence& cg);
-
- //! Computes the scalar product of \p cg and \p g and assigns it to \p z.
- static void assign(Coefficient& z,
- const Congruence& cg, const Grid_Generator& gg);
-
- //! Returns the sign of the scalar product between \p x and \p y.
- static int sign(const Linear_Expression& x, const Linear_Expression& y);
-
- //! Returns the sign of the scalar product between \p c and \p g.
- static int sign(const Constraint& c, const Generator& g);
-
- //! Returns the sign of the scalar product between \p g and \p c.
- static int sign(const Generator& g, const Constraint& c);
-
- //! Returns the sign of the scalar product between \p c and \p g.
- static int sign(const Constraint& c, const Grid_Generator& g);
-
- /*! \brief
- Computes the \e reduced scalar product of \p x and \p y,
- where the \f$\epsilon\f$ coefficient of \p x is ignored,
- and assigns the result to \p z.
- */
- static void reduced_assign(Coefficient& z,
- const Linear_Expression& x,
- const Linear_Expression& y);
-
- /*! \brief
- Computes the \e reduced scalar product of \p c and \p g,
- where the \f$\epsilon\f$ coefficient of \p c is ignored,
- and assigns the result to \p z.
- */
- static void reduced_assign(Coefficient& z,
- const Constraint& c, const Generator& g);
-
- /*! \brief
- Computes the \e reduced scalar product of \p g and \p c,
- where the \f$\epsilon\f$ coefficient of \p g is ignored,
- and assigns the result to \p z.
- */
- static void reduced_assign(Coefficient& z,
- const Generator& g, const Constraint& c);
-
- //! \brief
- //! Computes the \e reduced scalar product of \p g and \p cg,
- //! where the \f$\epsilon\f$ coefficient of \p g is ignored,
- //! and assigns the result to \p z.
- static void reduced_assign(Coefficient& z,
- const Grid_Generator& gg, const Congruence& cg);
-
- /*! \brief
- Returns the sign of the \e reduced scalar product of \p x and \p y,
- where the \f$\epsilon\f$ coefficient of \p x is ignored.
- */
- static int reduced_sign(const Linear_Expression& x,
- const Linear_Expression& y);
-
- /*! \brief
- Returns the sign of the \e reduced scalar product of \p c and \p g,
- where the \f$\epsilon\f$ coefficient of \p c is ignored.
- */
- static int reduced_sign(const Constraint& c, const Generator& g);
-
- /*! \brief
- Returns the sign of the \e reduced scalar product of \p g and \p c,
- where the \f$\epsilon\f$ coefficient of \p g is ignored.
- */
- static int reduced_sign(const Generator& g, const Constraint& c);
-
- /*! \brief
- Computes the \e homogeneous scalar product of \p x and \p y,
- where the inhomogeneous terms are ignored,
- and assigns the result to \p z.
- */
- static void homogeneous_assign(Coefficient& z,
- const Linear_Expression& x,
- const Linear_Expression& y);
- /*! \brief
- Computes the \e homogeneous scalar product of \p e and \p g,
- where the inhomogeneous terms are ignored,
- and assigns the result to \p z.
- */
- static void homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Generator& g);
-
- //! \brief
- //! Computes the \e homogeneous scalar product of \p gg and \p c,
- //! where the inhomogeneous terms are ignored,
- //! and assigns the result to \p z.
- static void homogeneous_assign(Coefficient& z,
- const Grid_Generator& gg,
- const Constraint& c);
-
- //! \brief
- //! Computes the \e homogeneous scalar product of \p g and \p cg,
- //! where the inhomogeneous terms are ignored,
- //! and assigns the result to \p z.
- static void homogeneous_assign(Coefficient& z,
- const Grid_Generator& gg,
- const Congruence& cg);
-
- //! \brief
- //! Computes the \e homogeneous scalar product of \p e and \p g,
- //! where the inhomogeneous terms are ignored,
- //! and assigns the result to \p z.
- static void homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Grid_Generator& g);
-
- /*! \brief
- Returns the sign of the \e homogeneous scalar product of \p x and \p y,
- where the inhomogeneous terms are ignored.
- */
- static int homogeneous_sign(const Linear_Expression& x,
- const Linear_Expression& y);
-
- /*! \brief
- Returns the sign of the \e homogeneous scalar product of \p e and \p g,
- where the inhomogeneous terms are ignored.
- */
- static int homogeneous_sign(const Linear_Expression& e, const Generator& g);
-
- //! \brief
- //! Returns the sign of the \e homogeneous scalar product of \p e and \p g,
- //! where the inhomogeneous terms are ignored,
- static int homogeneous_sign(const Linear_Expression& e,
- const Grid_Generator& g);
-
- //! \brief
- //! Returns the sign of the \e homogeneous scalar product of \p g and \p c,
- //! where the inhomogeneous terms are ignored,
- static int homogeneous_sign(const Grid_Generator& g, const Constraint& c);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Scalar product sign function object depending on topology.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Sign {
-public:
- //! Constructs the function object according to the topology of \p c.
- Topology_Adjusted_Scalar_Product_Sign(const Constraint& c);
-
- //! Constructs the function object according to the topology of \p g.
- Topology_Adjusted_Scalar_Product_Sign(const Generator& g);
-
- //! Computes the (topology adjusted) scalar product sign of \p c and \p g.
- int operator()(const Constraint&, const Generator&) const;
-
- //! Computes the (topology adjusted) scalar product sign of \p g and \p c.
- int operator()(const Generator&, const Constraint&) const;
-
-private:
- //! The type of the scalar product sign function pointer.
- typedef int (*SPS_type)(const Linear_Expression&, const Linear_Expression&);
-
- //! The scalar product sign function pointer.
- SPS_type sps_fp;
-};
-
-// NOTE: Scalar_Products.inlines.hh is NOT included here, to avoid cyclic
-// include dependencies.
-
-#endif // !defined(PPL_Scalar_Products_defs_hh)
diff --git a/src/Scalar_Products.inlines.hh b/src/Scalar_Products.inlines.hh
deleted file mode 100644
index ea69b6f..0000000
--- a/src/Scalar_Products.inlines.hh
+++ /dev/null
@@ -1,163 +0,0 @@
-/* Scalar_Products class implementation (inline functions).
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Scalar_Products_inlines_hh
-#define PPL_Scalar_Products_inlines_hh 1
-
-#include "Linear_Expression.defs.hh"
-#include "Constraint.defs.hh"
-#include "Generator.defs.hh"
-#include "Congruence.defs.hh"
-#include "Grid_Generator.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline int
-Scalar_Products::sign(const Linear_Expression& x, const Linear_Expression& y) {
- PPL_DIRTY_TEMP_COEFFICIENT(z);
- assign(z, x, y);
- return sgn(z);
-}
-
-inline int
-Scalar_Products::reduced_sign(const Linear_Expression& x,
- const Linear_Expression& y) {
- PPL_DIRTY_TEMP_COEFFICIENT(z);
- reduced_assign(z, x, y);
- return sgn(z);
-}
-
-inline int
-Scalar_Products::homogeneous_sign(const Linear_Expression& x,
- const Linear_Expression& y) {
- PPL_DIRTY_TEMP_COEFFICIENT(z);
- homogeneous_assign(z, x, y);
- return sgn(z);
-}
-
-inline int
-Scalar_Products::sign(const Constraint& c, const Generator& g) {
- return sign(c.expr, g.expr);
-}
-
-inline int
-Scalar_Products::sign(const Generator& g, const Constraint& c) {
- return sign(g.expr, c.expr);
-}
-
-inline int
-Scalar_Products::sign(const Constraint& c, const Grid_Generator& g) {
- PPL_DIRTY_TEMP_COEFFICIENT(z);
- assign(z, c, g);
- return sgn(z);
-}
-
-inline int
-Scalar_Products::reduced_sign(const Constraint& c, const Generator& g) {
- // The reduced scalar product is only defined if the topology of `c' is
- // NNC.
- PPL_ASSERT(!c.is_necessarily_closed());
- return reduced_sign(c.expr, g.expr);
-}
-
-inline int
-Scalar_Products::reduced_sign(const Generator& g, const Constraint& c) {
- // The reduced scalar product is only defined if the topology of `g' is
- // NNC.
- PPL_ASSERT(!c.is_necessarily_closed());
- return reduced_sign(g.expr, c.expr);
-}
-
-inline void
-Scalar_Products::homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Generator& g) {
- homogeneous_assign(z, e, g.expr);
-}
-
-inline void
-Scalar_Products::homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Grid_Generator& g) {
- homogeneous_assign(z, e, g.expr);
-}
-
-inline int
-Scalar_Products::homogeneous_sign(const Linear_Expression& e,
- const Generator& g) {
- return homogeneous_sign(e, g.expr);
-}
-
-inline int
-Scalar_Products::homogeneous_sign(const Linear_Expression& e,
- const Grid_Generator& g) {
- return homogeneous_sign(e, g.expr);
-}
-
-inline int
-Scalar_Products::homogeneous_sign(const Grid_Generator& g,
- const Constraint& c) {
- PPL_DIRTY_TEMP_COEFFICIENT(z);
- homogeneous_assign(z, g, c);
- return sgn(z);
-}
-
-inline
-Topology_Adjusted_Scalar_Product_Sign
-::Topology_Adjusted_Scalar_Product_Sign(const Constraint& c)
- : sps_fp(c.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
-}
-
-inline
-Topology_Adjusted_Scalar_Product_Sign
-::Topology_Adjusted_Scalar_Product_Sign(const Generator& g)
- : sps_fp(g.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
-}
-
-inline int
-Topology_Adjusted_Scalar_Product_Sign::operator()(const Constraint& c,
- const Generator& g) const {
- PPL_ASSERT(c.space_dimension() <= g.space_dimension());
- PPL_ASSERT(sps_fp == (c.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
- return sps_fp(c.expr, g.expr);
-}
-
-inline int
-Topology_Adjusted_Scalar_Product_Sign::operator()(const Generator& g,
- const Constraint& c) const {
- PPL_ASSERT(g.space_dimension() <= c.space_dimension());
- PPL_ASSERT(sps_fp == (g.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
- return sps_fp(g.expr, c.expr);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Scalar_Products_inlines_hh)
diff --git a/src/Scalar_Products.types.hh b/src/Scalar_Products.types.hh
deleted file mode 100644
index 33c5a46..0000000
--- a/src/Scalar_Products.types.hh
+++ /dev/null
@@ -1,24 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Scalar_Products_types_hh
-#define PPL_Scalar_Products_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Scalar_Products;
-class Topology_Adjusted_Scalar_Product_Sign;
-class Topology_Adjusted_Scalar_Product_Assign;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Scalar_Products_types_hh)
diff --git a/src/Scalar_Products_defs.hh b/src/Scalar_Products_defs.hh
new file mode 100644
index 0000000..9d39226
--- /dev/null
+++ b/src/Scalar_Products_defs.hh
@@ -0,0 +1,227 @@
+/* Scalar_Products class definition.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Scalar_Products_defs_hh
+#define PPL_Scalar_Products_defs_hh 1
+
+#include "Scalar_Products_types.hh"
+#include "Coefficient_types.hh"
+#include "Linear_Expression_types.hh"
+#include "Constraint_types.hh"
+#include "Generator_types.hh"
+#include "Congruence_types.hh"
+#include "Grid_Generator_types.hh"
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A class implementing various scalar product functions.
+/*! \ingroup PPL_CXX_interface
+ When computing the scalar product of (Linear_Expression or Constraint or
+ Generator) objects <CODE>x</CODE> and <CODE>y</CODE>, it is assumed
+ that the space dimension of the first object <CODE>x</CODE> is less
+ than or equal to the space dimension of the second object <CODE>y</CODE>.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Scalar_Products {
+public:
+ //! Computes the scalar product of \p x and \p y and assigns it to \p z.
+ static void assign(Coefficient& z,
+ const Linear_Expression& x, const Linear_Expression& y);
+
+ //! Computes the scalar product of \p c and \p g and assigns it to \p z.
+ static void assign(Coefficient& z, const Constraint& c, const Generator& g);
+
+ //! Computes the scalar product of \p g and \p c and assigns it to \p z.
+ static void assign(Coefficient& z, const Generator& g, const Constraint& c);
+
+ //! Computes the scalar product of \p c and \p g and assigns it to \p z.
+ static void assign(Coefficient& z,
+ const Constraint& c, const Grid_Generator& gg);
+
+ //! Computes the scalar product of \p g and \p cg and assigns it to \p z.
+ static void assign(Coefficient& z,
+ const Grid_Generator& gg, const Congruence& cg);
+
+ //! Computes the scalar product of \p cg and \p g and assigns it to \p z.
+ static void assign(Coefficient& z,
+ const Congruence& cg, const Grid_Generator& gg);
+
+ //! Returns the sign of the scalar product between \p x and \p y.
+ static int sign(const Linear_Expression& x, const Linear_Expression& y);
+
+ //! Returns the sign of the scalar product between \p c and \p g.
+ static int sign(const Constraint& c, const Generator& g);
+
+ //! Returns the sign of the scalar product between \p g and \p c.
+ static int sign(const Generator& g, const Constraint& c);
+
+ //! Returns the sign of the scalar product between \p c and \p g.
+ static int sign(const Constraint& c, const Grid_Generator& g);
+
+ /*! \brief
+ Computes the \e reduced scalar product of \p x and \p y,
+ where the \f$\epsilon\f$ coefficient of \p x is ignored,
+ and assigns the result to \p z.
+ */
+ static void reduced_assign(Coefficient& z,
+ const Linear_Expression& x,
+ const Linear_Expression& y);
+
+ /*! \brief
+ Computes the \e reduced scalar product of \p c and \p g,
+ where the \f$\epsilon\f$ coefficient of \p c is ignored,
+ and assigns the result to \p z.
+ */
+ static void reduced_assign(Coefficient& z,
+ const Constraint& c, const Generator& g);
+
+ /*! \brief
+ Computes the \e reduced scalar product of \p g and \p c,
+ where the \f$\epsilon\f$ coefficient of \p g is ignored,
+ and assigns the result to \p z.
+ */
+ static void reduced_assign(Coefficient& z,
+ const Generator& g, const Constraint& c);
+
+ //! \brief
+ //! Computes the \e reduced scalar product of \p g and \p cg,
+ //! where the \f$\epsilon\f$ coefficient of \p g is ignored,
+ //! and assigns the result to \p z.
+ static void reduced_assign(Coefficient& z,
+ const Grid_Generator& gg, const Congruence& cg);
+
+ /*! \brief
+ Returns the sign of the \e reduced scalar product of \p x and \p y,
+ where the \f$\epsilon\f$ coefficient of \p x is ignored.
+ */
+ static int reduced_sign(const Linear_Expression& x,
+ const Linear_Expression& y);
+
+ /*! \brief
+ Returns the sign of the \e reduced scalar product of \p c and \p g,
+ where the \f$\epsilon\f$ coefficient of \p c is ignored.
+ */
+ static int reduced_sign(const Constraint& c, const Generator& g);
+
+ /*! \brief
+ Returns the sign of the \e reduced scalar product of \p g and \p c,
+ where the \f$\epsilon\f$ coefficient of \p g is ignored.
+ */
+ static int reduced_sign(const Generator& g, const Constraint& c);
+
+ /*! \brief
+ Computes the \e homogeneous scalar product of \p x and \p y,
+ where the inhomogeneous terms are ignored,
+ and assigns the result to \p z.
+ */
+ static void homogeneous_assign(Coefficient& z,
+ const Linear_Expression& x,
+ const Linear_Expression& y);
+ /*! \brief
+ Computes the \e homogeneous scalar product of \p e and \p g,
+ where the inhomogeneous terms are ignored,
+ and assigns the result to \p z.
+ */
+ static void homogeneous_assign(Coefficient& z,
+ const Linear_Expression& e,
+ const Generator& g);
+
+ //! \brief
+ //! Computes the \e homogeneous scalar product of \p gg and \p c,
+ //! where the inhomogeneous terms are ignored,
+ //! and assigns the result to \p z.
+ static void homogeneous_assign(Coefficient& z,
+ const Grid_Generator& gg,
+ const Constraint& c);
+
+ //! \brief
+ //! Computes the \e homogeneous scalar product of \p g and \p cg,
+ //! where the inhomogeneous terms are ignored,
+ //! and assigns the result to \p z.
+ static void homogeneous_assign(Coefficient& z,
+ const Grid_Generator& gg,
+ const Congruence& cg);
+
+ //! \brief
+ //! Computes the \e homogeneous scalar product of \p e and \p g,
+ //! where the inhomogeneous terms are ignored,
+ //! and assigns the result to \p z.
+ static void homogeneous_assign(Coefficient& z,
+ const Linear_Expression& e,
+ const Grid_Generator& g);
+
+ /*! \brief
+ Returns the sign of the \e homogeneous scalar product of \p x and \p y,
+ where the inhomogeneous terms are ignored.
+ */
+ static int homogeneous_sign(const Linear_Expression& x,
+ const Linear_Expression& y);
+
+ /*! \brief
+ Returns the sign of the \e homogeneous scalar product of \p e and \p g,
+ where the inhomogeneous terms are ignored.
+ */
+ static int homogeneous_sign(const Linear_Expression& e, const Generator& g);
+
+ //! \brief
+ //! Returns the sign of the \e homogeneous scalar product of \p e and \p g,
+ //! where the inhomogeneous terms are ignored,
+ static int homogeneous_sign(const Linear_Expression& e,
+ const Grid_Generator& g);
+
+ //! \brief
+ //! Returns the sign of the \e homogeneous scalar product of \p g and \p c,
+ //! where the inhomogeneous terms are ignored,
+ static int homogeneous_sign(const Grid_Generator& g, const Constraint& c);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Scalar product sign function object depending on topology.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Sign {
+public:
+ //! Constructs the function object according to the topology of \p c.
+ Topology_Adjusted_Scalar_Product_Sign(const Constraint& c);
+
+ //! Constructs the function object according to the topology of \p g.
+ Topology_Adjusted_Scalar_Product_Sign(const Generator& g);
+
+ //! Computes the (topology adjusted) scalar product sign of \p c and \p g.
+ int operator()(const Constraint&, const Generator&) const;
+
+ //! Computes the (topology adjusted) scalar product sign of \p g and \p c.
+ int operator()(const Generator&, const Constraint&) const;
+
+private:
+ //! The type of the scalar product sign function pointer.
+ typedef int (* const SPS_type)(const Linear_Expression&,
+ const Linear_Expression&);
+
+ //! The scalar product sign function pointer.
+ SPS_type sps_fp;
+};
+
+// NOTE: Scalar_Products_inlines.hh is NOT included here, to avoid cyclic
+// include dependencies.
+
+#endif // !defined(PPL_Scalar_Products_defs_hh)
diff --git a/src/Scalar_Products_inlines.hh b/src/Scalar_Products_inlines.hh
new file mode 100644
index 0000000..3ab91af
--- /dev/null
+++ b/src/Scalar_Products_inlines.hh
@@ -0,0 +1,163 @@
+/* Scalar_Products class implementation (inline functions).
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Scalar_Products_inlines_hh
+#define PPL_Scalar_Products_inlines_hh 1
+
+#include "Linear_Expression_defs.hh"
+#include "Constraint_defs.hh"
+#include "Generator_defs.hh"
+#include "Congruence_defs.hh"
+#include "Grid_Generator_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline int
+Scalar_Products::sign(const Linear_Expression& x, const Linear_Expression& y) {
+ PPL_DIRTY_TEMP_COEFFICIENT(z);
+ assign(z, x, y);
+ return sgn(z);
+}
+
+inline int
+Scalar_Products::reduced_sign(const Linear_Expression& x,
+ const Linear_Expression& y) {
+ PPL_DIRTY_TEMP_COEFFICIENT(z);
+ reduced_assign(z, x, y);
+ return sgn(z);
+}
+
+inline int
+Scalar_Products::homogeneous_sign(const Linear_Expression& x,
+ const Linear_Expression& y) {
+ PPL_DIRTY_TEMP_COEFFICIENT(z);
+ homogeneous_assign(z, x, y);
+ return sgn(z);
+}
+
+inline int
+Scalar_Products::sign(const Constraint& c, const Generator& g) {
+ return sign(c.expr, g.expr);
+}
+
+inline int
+Scalar_Products::sign(const Generator& g, const Constraint& c) {
+ return sign(g.expr, c.expr);
+}
+
+inline int
+Scalar_Products::sign(const Constraint& c, const Grid_Generator& g) {
+ PPL_DIRTY_TEMP_COEFFICIENT(z);
+ assign(z, c, g);
+ return sgn(z);
+}
+
+inline int
+Scalar_Products::reduced_sign(const Constraint& c, const Generator& g) {
+ // The reduced scalar product is only defined if the topology of `c' is
+ // NNC.
+ PPL_ASSERT(!c.is_necessarily_closed());
+ return reduced_sign(c.expr, g.expr);
+}
+
+inline int
+Scalar_Products::reduced_sign(const Generator& g, const Constraint& c) {
+ // The reduced scalar product is only defined if the topology of `g' is
+ // NNC.
+ PPL_ASSERT(!c.is_necessarily_closed());
+ return reduced_sign(g.expr, c.expr);
+}
+
+inline void
+Scalar_Products::homogeneous_assign(Coefficient& z,
+ const Linear_Expression& e,
+ const Generator& g) {
+ homogeneous_assign(z, e, g.expr);
+}
+
+inline void
+Scalar_Products::homogeneous_assign(Coefficient& z,
+ const Linear_Expression& e,
+ const Grid_Generator& g) {
+ homogeneous_assign(z, e, g.expr);
+}
+
+inline int
+Scalar_Products::homogeneous_sign(const Linear_Expression& e,
+ const Generator& g) {
+ return homogeneous_sign(e, g.expr);
+}
+
+inline int
+Scalar_Products::homogeneous_sign(const Linear_Expression& e,
+ const Grid_Generator& g) {
+ return homogeneous_sign(e, g.expr);
+}
+
+inline int
+Scalar_Products::homogeneous_sign(const Grid_Generator& g,
+ const Constraint& c) {
+ PPL_DIRTY_TEMP_COEFFICIENT(z);
+ homogeneous_assign(z, g, c);
+ return sgn(z);
+}
+
+inline
+Topology_Adjusted_Scalar_Product_Sign
+::Topology_Adjusted_Scalar_Product_Sign(const Constraint& c)
+ : sps_fp(c.is_necessarily_closed()
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
+}
+
+inline
+Topology_Adjusted_Scalar_Product_Sign
+::Topology_Adjusted_Scalar_Product_Sign(const Generator& g)
+ : sps_fp(g.is_necessarily_closed()
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
+}
+
+inline int
+Topology_Adjusted_Scalar_Product_Sign::operator()(const Constraint& c,
+ const Generator& g) const {
+ PPL_ASSERT(c.space_dimension() <= g.space_dimension());
+ PPL_ASSERT(sps_fp == (c.is_necessarily_closed()
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
+ return sps_fp(c.expr, g.expr);
+}
+
+inline int
+Topology_Adjusted_Scalar_Product_Sign::operator()(const Generator& g,
+ const Constraint& c) const {
+ PPL_ASSERT(g.space_dimension() <= c.space_dimension());
+ PPL_ASSERT(sps_fp == (g.is_necessarily_closed()
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
+ return sps_fp(g.expr, c.expr);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Scalar_Products_inlines_hh)
diff --git a/src/Scalar_Products_types.hh b/src/Scalar_Products_types.hh
new file mode 100644
index 0000000..4003f37
--- /dev/null
+++ b/src/Scalar_Products_types.hh
@@ -0,0 +1,24 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Scalar_Products_types_hh
+#define PPL_Scalar_Products_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Scalar_Products;
+class Topology_Adjusted_Scalar_Product_Sign;
+class Topology_Adjusted_Scalar_Product_Assign;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Scalar_Products_types_hh)
diff --git a/src/Slow_Copy.hh b/src/Slow_Copy.hh
index e381252..e618f8f 100644
--- a/src/Slow_Copy.hh
+++ b/src/Slow_Copy.hh
@@ -1,6 +1,6 @@
/* Basic Slow_Copy classes declarations.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/Sparse_Row.cc b/src/Sparse_Row.cc
index e9fb379..6edee27 100644
--- a/src/Sparse_Row.cc
+++ b/src/Sparse_Row.cc
@@ -1,6 +1,6 @@
/* Sparse_Row class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Sparse_Row.defs.hh"
-#include "Dense_Row.defs.hh"
+#include "Sparse_Row_defs.hh"
+#include "Dense_Row_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
@@ -153,7 +153,8 @@ PPL::Sparse_Row::swap_coefficients(dimension_type i, dimension_type j) {
tree.erase(itr_j);
itr_i = tree.insert(i);
swap(*itr_i, tmp);
- } else {
+ }
+ else {
// Do nothing, elements are both non-stored zeroes.
}
}
@@ -279,7 +280,8 @@ private:
if (i == i_end) {
if (j == j_end) {
return;
- } else {
+ }
+ else {
// i == i_end, j != j_end, so use j.
current_index = j.index();
current_value = *j;
@@ -287,7 +289,8 @@ private:
from_i = false;
from_j = true;
}
- } else {
+ }
+ else {
if (j == j_end) {
// i != i_end, j == j_end, so use i.
current_index = i.index();
@@ -295,7 +298,8 @@ private:
current_value *= coeff1;
from_i = true;
from_j = false;
- } else {
+ }
+ else {
// i != i_end and j != j_end.
if (i.index() < j.index()) {
// i.index() < j.index(), so use i.
@@ -304,7 +308,8 @@ private:
current_value *= coeff1;
from_i = true;
from_j = false;
- } else {
+ }
+ else {
if (i.index() != j.index()) {
PPL_ASSERT(i.index() > j.index());
// i.index() > j.index(), so use j.
@@ -313,7 +318,8 @@ private:
current_value *= coeff2;
from_i = false;
from_j = true;
- } else {
+ }
+ else {
// i.index() == j.index(), so use both i and j.
current_index = i.index();
current_value = *i;
@@ -378,12 +384,14 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
++j;
if (i == i_end)
break;
- } else
+ }
+ else
if (i.index() < j.index()) {
i = lower_bound(i, j.index());
if (i == i_end)
break;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
++counter;
++j;
@@ -415,11 +423,13 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
else
++i;
++j;
- } else
+ }
+ else
if (i.index() < j.index()) {
(*i) *= coeff1;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
i = insert(i, j.index(), *j);
(*i) *= coeff2;
@@ -434,7 +444,8 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
i = insert(i, j.index(), *j);
(*i) *= coeff2;
}
- } else {
+ }
+ else {
// Too many insertions needed, a full copy is probably faster than
// inserting all those new elements into *this.
CO_Tree new_tree(sparse_row_linear_combine_helper_iterator(*this, y,
@@ -454,7 +465,8 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
#endif
i = reset(i);
PPL_ASSERT(find(old_index) == end());
- } else
+ }
+ else
++i;
}
}
@@ -524,11 +536,13 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
else
++i;
++j;
- } else
+ }
+ else
if (i.index() < j.index()) {
(*i) *= coeff1;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
i = insert(i, j.index(), *j);
++i;
@@ -561,11 +575,13 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
else
++i;
++j;
- } else
+ }
+ else
if (i.index() < j.index()) {
(*i) *= coeff1;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
i = insert(i, j.index(), *j);
neg_assign(*i);
@@ -599,11 +615,13 @@ PPL::Sparse_Row::linear_combine(const Sparse_Row& y,
else
++i;
++j;
- } else
+ }
+ else
if (i.index() < j.index()) {
(*i) *= coeff1;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
i = insert(i, j.index(), *j);
(*i) *= coeff2;
@@ -696,12 +714,14 @@ PPL::operator==(const Sparse_Row& x, const Sparse_Row& y) {
return false;
++i;
++j;
- } else {
+ }
+ else {
if (i.index() < j.index()) {
if (*i != 0)
return false;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
if (*j != 0)
return false;
@@ -734,7 +754,8 @@ PPL::operator==(const Dense_Row& x, const Sparse_Row& y) {
if (itr != y.end() && itr.index() == i) {
if (x[i] != *itr)
return false;
- } else {
+ }
+ else {
if (x[i] != 0)
return false;
}
@@ -775,7 +796,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
itr = x.insert(itr, i, y[i]);
(*itr) *= coeff2;
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
(*itr) *= coeff1;
add_mul_assign(*itr, y[i], coeff2);
@@ -810,7 +832,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
continue;
itr = x.insert(itr, i, y[i]);
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
(*itr) += y[i];
if (*itr == 0)
@@ -831,7 +854,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
itr = x.insert(itr, i, y[i]);
neg_assign(*itr);
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
(*itr) -= y[i];
if (*itr == 0)
@@ -851,7 +875,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
itr = x.insert(itr, i, y[i]);
(*itr) *= coeff2;
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
add_mul_assign(*itr, y[i], coeff2);
if (*itr == 0)
@@ -872,7 +897,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
continue;
itr = x.insert(itr, i, y[i]);
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
(*itr) *= coeff1;
(*itr) += y[i];
@@ -894,7 +920,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
itr = x.insert(itr, i, y[i]);
neg_assign(*itr);
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
(*itr) *= coeff1;
(*itr) -= y[i];
@@ -916,7 +943,8 @@ PPL::linear_combine(Sparse_Row& x, const Dense_Row& y,
itr = x.insert(itr, i, y[i]);
(*itr) *= coeff2;
PPL_ASSERT((*itr) != 0);
- } else {
+ }
+ else {
PPL_ASSERT(itr.index() == i);
(*itr) *= coeff1;
add_mul_assign(*itr, y[i], coeff2);
diff --git a/src/Sparse_Row.defs.hh b/src/Sparse_Row.defs.hh
deleted file mode 100644
index a089627..0000000
--- a/src/Sparse_Row.defs.hh
+++ /dev/null
@@ -1,930 +0,0 @@
-/* Sparse_Row class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Sparse_Row_defs_hh
-#define PPL_Sparse_Row_defs_hh 1
-
-#include "Sparse_Row.types.hh"
-
-#include "CO_Tree.defs.hh"
-#include "Coefficient.defs.hh"
-#include "Dense_Row.types.hh"
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A finite sparse sequence of coefficients.
-/*! \ingroup PPL_CXX_interface
- This class is implemented using a CO_Tree. See the documentation of CO_Tree
- for details on the implementation and the performance.
-
- This class is a drop-in replacement of Dense_Row, meaning that code
- using Dense_Row can be ported to Sparse_Row changing only the type.
- The resulting code will work, but probably needs more CPU and memory (it
- does not exploit the sparse representation yet).
-
- To take advantage of the sparse representation, the client code must then be
- modified to use methods which can have a faster implementation on sparse
- data structures.
-
- The main changes are the replacement of calls to operator[] with calls to
- find(), lower_bound() or insert(), using hint iterators when possible.
- Sequential scanning of rows should probably be implemented using iterators
- rather than indexes, to improve performance.
- reset() should be called to zero elements.
-
- \see Sparse_Matrix
- \see CO_Tree
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-class Parma_Polyhedra_Library::Sparse_Row {
-
-public:
-
- //! An %iterator on the row elements
- /*!
- This %iterator skips non-stored zeroes.
- \see CO_Tree::iterator
- */
- typedef CO_Tree::iterator iterator;
-
- //! A const %iterator on the row elements
- /*!
- This %iterator skips non-stored zeroes.
- \see CO_Tree::const_iterator
- */
- typedef CO_Tree::const_iterator const_iterator;
-
- //! Constructs a row with the specified size.
- /*!
- \param n
- The size for the new row.
-
- The row will contain only non-stored zeroes.
-
- This constructor takes \f$O(1)\f$ time.
- */
- explicit Sparse_Row(dimension_type n = 0);
-
- //! Constructs a row with the specified size.
- /*!
- \param n
- The size for the new row.
-
- \param capacity
- It is ignored. This parameter is needed for compatibility with Dense_Row.
-
- The row will contain only non-stored zeroes.
-
- This constructor takes \f$O(1)\f$ time.
- */
- Sparse_Row(dimension_type n, dimension_type capacity);
-
- //! Copy constructor with specified capacity.
- /*!
- It is assumed that \p capacity is greater than or equal to
- the size of \p y.
- */
- Sparse_Row(const Sparse_Row& y, dimension_type capacity);
-
- //! Copy constructor with specified size and capacity.
- /*!
- It is assumed that \p sz is less than or equal to \p capacity.
- */
- Sparse_Row(const Sparse_Row& y, dimension_type sz, dimension_type capacity);
-
- //! Constructor from a Dense_Row.
- /*!
- \param row
- The row that will be copied into *this.
-
- This constructor takes \f$O(n)\f$ time. Note that constructing of a row of
- zeroes and then inserting n elements costs \f$O(n*\log^2 n)\f$ time.
- */
- explicit Sparse_Row(const Dense_Row& row);
-
- //! Copy constructor from a Dense_Row with specified size and capacity.
- /*!
- It is assumed that \p sz is less than or equal to \p capacity.
- */
- Sparse_Row(const Dense_Row& y, dimension_type sz, dimension_type capacity);
-
- Sparse_Row& operator=(const Dense_Row& row);
-
- //! Swaps *this and x.
- /*!
- \param x
- The row that will be swapped with *this.
-
- This method takes \f$O(1)\f$ time.
- */
- void m_swap(Sparse_Row& x);
-
- //! Returns the size of the row.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- dimension_type size() const;
-
- //! Returns the number of elements explicitly stored in the row.
- /*!
- This is equivalent to std::distance(begin(), end()), but it's much faster.
-
- This method takes \f$O(1)\f$ time.
- */
- dimension_type num_stored_elements() const;
-
- //! Resizes the row to the specified size.
- /*!
- \param n
- The new size for the row.
-
- This method takes \f$O(k*\log^2 n)\f$ amortized time when shrinking the
- row and removing the trailing k elements.
- It takes \f$O(1)\f$ time when enlarging the row.
- */
- void resize(dimension_type n);
-
- //! Resizes the row to size \p n.
- /*!
- \param n
- The new size for the row.
-
- This method, with this signature, is needed for compatibility with
- Dense_Row.
-
- This method takes \f$O(1)\f$ time.
- */
- void expand_within_capacity(dimension_type n);
-
- //! Resizes the row to size \p n.
- /*!
- \param n
- The new size for the row.
-
- This method, with this signature, is needed for compatibility with
- Dense_Row.
-
- This method takes \f$O(k*\log^2 n)\f$ amortized time where k is the number
- of removed elements.
- */
- void shrink(dimension_type n);
-
- /*!
- \brief Deletes the i-th element from the row, shifting the next elements
- to the left.
-
- \param i
- The index of the element that will be deleted.
-
- The size of the row is decreased by 1.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(k+\log^2 n)\f$ amortized time, where k is the
- number of elements with index greater than i.
- */
- void delete_element_and_shift(dimension_type i);
-
- //! Adds \p n zeroes before index \p i.
- /*!
- \param n
- The number of non-stored zeroes that will be added to the row.
-
- \param i
- The index of the element before which the zeroes will be added.
-
- Existing elements with index greater than or equal to \p i are shifted to
- the right by \p n positions. The size is increased by \p n.
-
- Existing iterators are not invalidated, but are shifted to the right
- by \p n if they pointed at or after index \p i (i.e., they point to
- the same, possibly shifted, values as before).
-
- This method takes \f$O(k + \log m)\f$ expected time, where \f$k\f$ is
- the number of elements with index greater than or equal to \p i and
- \f$m\f$ the number of stored elements.
- */
- void add_zeroes_and_shift(dimension_type n, dimension_type i);
-
- //! Returns an %iterator that points at the first stored element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- iterator begin();
-
- //! Returns an %iterator that points after the last stored element.
- /*!
- This method always returns a reference to the same internal %iterator,
- that is kept valid.
- Client code can keep a const reference to that %iterator instead of
- keep updating a local %iterator.
-
- This method takes \f$O(1)\f$ time.
- */
- const iterator& end();
-
- //! Equivalent to <CODE>cbegin()</CODE>.
- const_iterator begin() const;
-
- //! Equivalent to <CODE>cend()</CODE>.
- const const_iterator& end() const;
-
- //! Returns an %iterator that points at the first element.
- /*!
- This method takes \f$O(1)\f$ time.
- */
- const_iterator cbegin() const;
-
- //! Returns an %iterator that points after the last element.
- /*!
- This method always returns a reference to the same internal %iterator,
- that is updated at each operation that modifies the structure.
- Client code can keep a const reference to that %iterator instead of
- keep updating a local %iterator.
-
- This method takes \f$O(1)\f$ time.
- */
- const const_iterator& cend() const;
-
- //! Returns the size() of the largest possible Sparse_Row.
- static dimension_type max_size();
-
- //! Resets all the elements of this row.
- /*!
- This method takes \f$O(n)\f$ time.
- */
- void clear();
-
- //! Gets a reference to the i-th element.
- /*!
- \param i
- The index of the desired element.
-
- For read-only access it's better to use get(), that avoids allocating
- space for zeroes.
-
- If possible, use the insert(), find() or lower_bound() methods with
- a hint instead of this, to improve performance.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log n)\f$ amortized time when there is already an
- element with index \p i, and \f$O(\log^2 n)\f$ otherwise.
- */
- Coefficient& operator[](dimension_type i);
-
- //! Equivalent to <CODE>get(i)</CODE>, provided for convenience.
- /*!
- This method takes \f$O(\log n)\f$ time.
- */
- Coefficient_traits::const_reference operator[](dimension_type i) const;
-
- //! Gets the i-th element in the sequence.
- /*!
- \param i
- The index of the desired element.
-
- If possible, use the insert(), find() or lower_bound() methods with
- a hint instead of this, to improve performance.
-
- This method takes \f$O(\log n)\f$ time.
- */
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- //! Looks for an element with index i.
- /*!
- \param i
- The index of the desired element.
-
- If possible, use the find() method that takes a hint %iterator, to improve
- performance.
-
- This method takes \f$O(\log n)\f$ time.
- */
- iterator find(dimension_type i);
-
- //! Looks for an element with index i.
- /*!
- \param i
- The index of the desired element.
-
- \param itr
- It is used as a hint. This method will be faster if the searched element
- is near to \p itr.
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this row. \p itr may even be end().
-
- This method takes \f$O(\log n)\f$ time.
- If the distance between \p itr and the searched position is \f$O(1)\f$,
- this method takes \f$O(1)\f$ time.
- */
- iterator find(iterator itr, dimension_type i);
-
- //! Looks for an element with index i.
- /*!
- \param i
- The index of the desired element.
-
- If possible, use the find() method that takes a hint %iterator, to improve
- performance.
-
- This method takes \f$O(\log n)\f$ time.
- */
- const_iterator find(dimension_type i) const;
-
- //! Looks for an element with index i.
- /*!
- \param i
- The index of the desired element.
-
- \param itr
- It is used as a hint. This method will be faster if the searched element
- is near to \p itr.
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this row. \p itr may even be end().
-
- This method takes \f$O(\log n)\f$ time.
- If the distance between \p itr and the searched position is \f$O(1)\f$,
- this method takes \f$O(1)\f$ time.
- */
- const_iterator find(const_iterator itr, dimension_type i) const;
-
- //! Lower bound of index i.
- /*!
- \param i
- The index of the desired element.
-
- \returns an %iterator to the first element with index greater than or
- equal to i.
- If there are no such elements, returns end().
-
- If possible, use the find() method that takes a hint %iterator, to improve
- performance.
-
- This method takes \f$O(\log n)\f$ time.
- */
- iterator lower_bound(dimension_type i);
-
- //! Lower bound of index i.
- /*!
- \param i
- The index of the desired element.
-
- \param itr
- It is used as a hint. This method will be faster if the searched element
- is near to \p itr.
-
- \returns an %iterator to the first element with index greater than or
- equal to i.
- If there are no such elements, returns end().
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this row. \p itr may even be end().
-
- This method takes \f$O(\log n)\f$ time.
- If the distance between \p itr and the searched position is \f$O(1)\f$,
- this method takes \f$O(1)\f$ time.
- */
- iterator lower_bound(iterator itr, dimension_type i);
-
- //! Lower bound of index i.
- /*!
-
- \param i
- The index of the desired element.
-
- \returns an %iterator to the first element with index greater than or
- equal to i.
- If there are no such elements, returns end().
-
- If possible, use the find() method that takes a hint %iterator, to improve
- performance.
-
- This method takes \f$O(\log n)\f$ time.
- */
- const_iterator lower_bound(dimension_type i) const;
-
- //! Lower bound of index i.
- /*!
- \param i
- The index of the desired element.
-
- \param itr
- It is used as a hint. This method will be faster if the searched element
- is near to \p itr.
-
- \returns an %iterator to the first element with index greater than or
- equal to i.
- If there are no such elements, returns end().
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this row. \p itr may even be end().
-
- This method takes \f$O(\log n)\f$ time.
- If the distance between \p itr and the searched position is \f$O(1)\f$,
- this method takes \f$O(1)\f$ time.
- */
- const_iterator lower_bound(const_iterator itr, dimension_type i) const;
-
- //! Equivalent to <CODE>(*this)[i] = x; find(i)</CODE>, but faster.
- /*!
- \param i
- The index of the desired element.
-
- \param x
- The value that will be associated to the element.
-
- If possible, use versions of this method that take a hint, to improve
- performance.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- iterator insert(dimension_type i, Coefficient_traits::const_reference x);
-
- //! Equivalent to <CODE>(*this)[i] = x; find(i)</CODE>, but faster.
- /*!
- \param i
- The index of the desired element.
-
- \param x
- The value that will be associated to the element.
-
- \param itr
- It is used as a hint. This method will be faster if the searched element
- is near to \p itr, even faster than <CODE>(*this)[i] = x</CODE>.
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this row. \p itr may even be end().
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time. If the distance
- between \p itr and the searched position is \f$O(1)\f$ and the row already
- contains an element with this index, this method takes \f$O(1)\f$ time.
- */
- iterator insert(iterator itr, dimension_type i,
- Coefficient_traits::const_reference x);
-
- //! Equivalent to <CODE>(*this)[i]; find(i)</CODE>, but faster.
- /*!
- \param i
- The index of the desired element.
-
- If possible, use versions of this method that take a hint, to improve
- performance.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- iterator insert(dimension_type i);
-
- //! Equivalent to <CODE>(*this)[i]; find(i)</CODE>, but faster.
- /*!
- \param i
- The index of the desired element.
-
- \param itr
- It is used as a hint. This method will be faster if the searched element
- is near to \p itr, even faster than <CODE>(*this)[i]</CODE>.
-
- The value of \p itr does not affect the result of this method, as long it
- is a valid %iterator for this row. \p itr may even be end().
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time. If the distance
- between \p itr and the searched position is \f$O(1)\f$ and the row already
- contains an element with this index, this method takes \f$O(1)\f$ time.
- */
- iterator insert(iterator itr, dimension_type i);
-
- //! Swaps the i-th element with the j-th element.
- /*!
- \param i
- The index of an element.
-
- \param j
- The index of another element.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- void swap_coefficients(dimension_type i, dimension_type j);
-
- //! Equivalent to swap(i,itr.index()), but it assumes that
- //! lower_bound(i)==itr.
- /*!
- Iterators that pointed to the itr.index()-th element remain valid
- but now point to the i-th element. Other iterators are unaffected.
-
- This method takes \f$O(1)\f$ time.
- */
- void fast_swap(dimension_type i, iterator itr);
-
- //! Swaps the element pointed to by i with the element pointed to by j.
- /*!
- \param i
- An %iterator pointing to an element.
-
- \param j
- An %iterator pointing to another element.
-
- This method takes \f$O(1)\f$ time.
- */
- void swap_coefficients(iterator i, iterator j);
-
- //! Resets to zero the value pointed to by i.
- /*!
- \param i
- An %iterator pointing to the element that will be reset (not stored
- anymore).
-
- By calling this method instead of getting a reference to the value and
- setting it to zero, the element will no longer be stored.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- iterator reset(iterator i);
-
- //! Resets to zero the values in the range [first,last).
- /*!
- \param first
- An %iterator pointing to the first element to reset.
-
- \param last
- An %iterator pointing after the last element to reset.
-
- By calling this method instead of getting a reference to the values and
- setting them to zero, the elements will no longer be stored.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(k*\log^2 n)\f$ amortized time, where k is the
- number of elements in [first,last).
- */
- iterator reset(iterator first, iterator last);
-
- //! Resets to zero the i-th element.
- /*!
- \param i
- The index of the element to reset.
-
- By calling this method instead of getting a reference to the value and
- setting it to zero, the element will no longer be stored.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(\log^2 n)\f$ amortized time.
- */
- void reset(dimension_type i);
-
- //! Resets to zero the elements with index greater than or equal to i.
- /*!
- \param i
- The index of the first element to reset.
-
- By calling this method instead of getting a reference to the values and
- setting them to zero, the elements will no longer be stored.
-
- This operation invalidates existing iterators.
-
- This method takes \f$O(k*\log^2 n)\f$ amortized time, where k is the
- number of elements with index greater than or equal to i.
- */
- void reset_after(dimension_type i);
-
- //! Normalizes the modulo of coefficients so that they are mutually prime.
- /*!
- Computes the Greatest Common Divisor (GCD) among the elements of the row
- and normalizes them by the GCD itself.
-
- This method takes \f$O(n)\f$ time.
- */
- void normalize();
-
- //! Calls g(x[i],y[i]), for each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param f
- A functor that should take a Coefficient&.
- f(c1) must be equivalent to g(c1, 0).
-
- \param g
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- g(c1, c2) must do nothing when c1 is zero.
-
- This method takes \f$O(n*\log^2 n)\f$ time.
-
- \note
- The functors will only be called when necessary, assuming the requested
- properties hold.
-
- \see combine_needs_second
- \see combine
- */
- template <typename Func1, typename Func2>
- void combine_needs_first(const Sparse_Row& y,
- const Func1& f, const Func2& g);
-
- //! Calls g(x[i],y[i]), for each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param g
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- g(c1, 0) must do nothing, for every c1.
-
- \param h
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
-
- This method takes \f$O(n*\log^2 n)\f$ time.
-
- \note
- The functors will only be called when necessary, assuming the requested
- properties hold.
-
- \see combine_needs_first
- \see combine
- */
- template <typename Func1, typename Func2>
- void combine_needs_second(const Sparse_Row& y,
- const Func1& g, const Func2& h);
-
- //! Calls g(x[i],y[i]), for each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param f
- A functor that should take a Coefficient&.
- f(c1) must be equivalent to g(c1, 0).
-
- \param g
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- g(c1, c2) must do nothing when both c1 and c2 are zero.
-
- \param h
- A functor that should take a Coefficient& and a
- Coefficient_traits::const_reference.
- h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
-
- This method takes \f$O(n*\log^2 n)\f$ time.
-
- \note
- The functors will only be called when necessary, assuming the requested
- properties hold.
-
- \see combine_needs_first
- \see combine_needs_second
- */
- template <typename Func1, typename Func2, typename Func3>
- void combine(const Sparse_Row& y,
- const Func1& f, const Func2& g, const Func3& h);
-
- //! Executes <CODE>(*this)[i] = (*this)[i]*coeff1 + y[i]*coeff2</CODE>, for
- //! each i.
- /*!
- \param y
- The row that will be combined with *this.
-
- \param coeff1
- The coefficient used for elements of *this.
- This must not be 0.
-
- \param coeff2
- The coefficient used for elements of y.
- This must not be 0.
-
- This method takes \f$O(n*\log^2 n)\f$ time.
-
- \note
- The functors will only be called when necessary.
- This method can be implemented in user code, too. It is provided for
- convenience only.
-
- \see combine_needs_first
- \see combine_needs_second
- \see combine
- */
- void linear_combine(const Sparse_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2);
-
- //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
- //! for each i in [start, end).
- /*!
- This method, unlike the other linear_combine() method, detects when
- coeff1==1 and/or coeff2==1 or coeff2==-1 in order to save some work.
- */
- void linear_combine(const Sparse_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
- PPL_OUTPUT_DECLARATIONS
-
- //! Loads the row from an ASCII representation generated using ascii_dump().
- /*!
- \param s
- The stream from which the ASCII representation will be loaded.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- This method takes \f$O(n)\f$ time.
- */
- memory_size_type external_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- This method is provided for compatibility with Dense_Row.
-
- This method takes \f$O(n)\f$ time.
-
- \param capacity
- This parameter is ignored.
- */
- memory_size_type external_memory_in_bytes(dimension_type capacity) const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- This method takes \f$O(n)\f$ time.
- */
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- /*!
- This method is provided for compatibility with Dense_Row.
-
- This method takes \f$O(n)\f$ time.
-
- \param capacity
- This parameter is ignored.
- */
- memory_size_type total_memory_in_bytes(dimension_type capacity) const;
-
- //! Checks the invariant.
- bool OK() const;
-
- //! Checks the invariant.
- /*!
- This method is provided for compatibility with Dense_Row.
-
- \param capacity
- This parameter is ignored.
- */
- bool OK(dimension_type capacity) const;
-
-private:
- //! The tree used to store the elements.
- CO_Tree tree;
-
- //! The size of the row.
- /*!
- The elements contained in this row have indexes that are less than size_.
- */
- dimension_type size_;
-};
-
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(Parma_Polyhedra_Library::Sparse_Row& x,
- Parma_Polyhedra_Library::Sparse_Row& y);
-
-void swap(Parma_Polyhedra_Library::Sparse_Row& x,
- Parma_Polyhedra_Library::Dense_Row& y);
-
-void swap(Parma_Polyhedra_Library::Dense_Row& x,
- Parma_Polyhedra_Library::Sparse_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator==(const Sparse_Row& x, const Sparse_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool operator!=(const Sparse_Row& x, const Sparse_Row& y);
-
-bool operator==(const Dense_Row& x, const Sparse_Row& y);
-bool operator!=(const Dense_Row& x, const Sparse_Row& y);
-
-bool operator==(const Sparse_Row& x, const Dense_Row& y);
-bool operator!=(const Sparse_Row& x, const Dense_Row& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Sparse_Row& x, const Dense_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Sparse_Row
- This function detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
- order to save some work.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Sparse_Row& x, const Dense_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Dense_Row& x, const Sparse_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Sparse_Row
- This function detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
- order to save some work.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Dense_Row& x, const Sparse_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Sparse_Row& x, const Sparse_Row& y,
- Coefficient_traits::const_reference coeff1,
- Coefficient_traits::const_reference coeff2);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
-//! for each i in [start, end).
-/*! \relates Sparse_Row
- This function detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
- order to save some work.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void linear_combine(Sparse_Row& x, const Sparse_Row& y,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Sparse_Row.inlines.hh"
-#include "Sparse_Row.templates.hh"
-
-#endif // !defined(PPL_Sparse_Row_defs_hh)
diff --git a/src/Sparse_Row.inlines.hh b/src/Sparse_Row.inlines.hh
deleted file mode 100644
index 83d9d7a..0000000
--- a/src/Sparse_Row.inlines.hh
+++ /dev/null
@@ -1,378 +0,0 @@
-/* Sparse_Row class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Sparse_Row_inlines_hh
-#define PPL_Sparse_Row_inlines_hh 1
-
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Sparse_Row::Sparse_Row(dimension_type n)
- : size_(n) {
- PPL_ASSERT(OK());
-}
-
-inline
-Sparse_Row::Sparse_Row(dimension_type n, dimension_type)
- : size_(n) {
- PPL_ASSERT(OK());
-}
-
-inline
-Sparse_Row::Sparse_Row(const Sparse_Row& y, dimension_type)
- : tree(y.tree), size_(y.size_) {
-}
-
-inline
-Sparse_Row::Sparse_Row(const Sparse_Row& y, dimension_type sz, dimension_type)
- : tree(y.begin(),
- std::distance(y.begin(), y.lower_bound(std::min(y.size(), sz)))),
- size_(sz) {
- PPL_ASSERT(OK());
-}
-
-inline void
-Sparse_Row::m_swap(Sparse_Row& x) {
- using std::swap;
- swap(tree, x.tree);
- swap(size_, x.size_);
- PPL_ASSERT(OK());
- PPL_ASSERT(x.OK());
-}
-
-inline dimension_type
-Sparse_Row::size() const {
- return size_;
-}
-
-inline dimension_type
-Sparse_Row::num_stored_elements() const {
- return tree.size();
-}
-
-inline void
-Sparse_Row::resize(dimension_type n) {
- if (n < size_)
- reset_after(n);
- size_ = n;
- PPL_ASSERT(OK());
-}
-
-inline void
-Sparse_Row::shrink(dimension_type n) {
- PPL_ASSERT(size() >= n);
- resize(n);
-}
-
-inline void
-Sparse_Row::expand_within_capacity(dimension_type n) {
- PPL_ASSERT(size() <= n);
- resize(n);
-}
-
-inline void
-Sparse_Row::delete_element_and_shift(dimension_type i) {
- PPL_ASSERT(i < size_);
- tree.erase_element_and_shift_left(i);
- --size_;
- PPL_ASSERT(OK());
-}
-
-inline void
-Sparse_Row::add_zeroes_and_shift(dimension_type n, dimension_type i) {
- PPL_ASSERT(i <= size_);
- tree.increase_keys_from(i, n);
- size_ += n;
- PPL_ASSERT(OK());
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::begin() {
- return tree.begin();
-}
-
-inline const Sparse_Row::iterator&
-Sparse_Row::end() {
- return tree.end();
-}
-
-inline Sparse_Row::const_iterator
-Sparse_Row::begin() const {
- return tree.cbegin();
-}
-
-inline const Sparse_Row::const_iterator&
-Sparse_Row::end() const {
- return tree.cend();
-}
-
-inline Sparse_Row::const_iterator
-Sparse_Row::cbegin() const {
- return tree.cbegin();
-}
-
-inline const Sparse_Row::const_iterator&
-Sparse_Row::cend() const {
- return tree.cend();
-}
-
-inline dimension_type
-Sparse_Row::max_size() {
- return CO_Tree::max_size();
-}
-
-inline void
-Sparse_Row::clear() {
- tree.clear();
-}
-
-inline Coefficient&
-Sparse_Row::operator[](dimension_type i) {
- PPL_ASSERT(i < size_);
- iterator itr = insert(i);
- return *itr;
-}
-
-inline Coefficient_traits::const_reference
-Sparse_Row::operator[](dimension_type i) const {
- return get(i);
-}
-
-inline Coefficient_traits::const_reference
-Sparse_Row::get(dimension_type i) const {
- PPL_ASSERT(i < size_);
- if (tree.empty())
- return Coefficient_zero();
- const_iterator itr = find(i);
- if (itr != end())
- return *itr;
- else
- return Coefficient_zero();
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::find(dimension_type i) {
- PPL_ASSERT(i < size());
-
- iterator itr = tree.bisect(i);
-
- if (itr != end() && itr.index() == i)
- return itr;
-
- return end();
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::find(iterator hint, dimension_type i) {
- PPL_ASSERT(i < size());
-
- iterator itr = tree.bisect_near(hint, i);
-
- if (itr != end() && itr.index() == i)
- return itr;
-
- return end();
-}
-
-inline Sparse_Row::const_iterator
-Sparse_Row::find(dimension_type i) const {
- PPL_ASSERT(i < size());
-
- const_iterator itr = tree.bisect(i);
-
- if (itr != end() && itr.index() == i)
- return itr;
-
- return end();
-}
-
-inline Sparse_Row::const_iterator
-Sparse_Row::find(const_iterator hint, dimension_type i) const {
- PPL_ASSERT(i < size());
-
- const_iterator itr = tree.bisect_near(hint, i);
-
- if (itr != end() && itr.index() == i)
- return itr;
-
- return end();
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::lower_bound(dimension_type i) {
- PPL_ASSERT(i <= size());
-
- iterator itr = tree.bisect(i);
-
- if (itr == end())
- return end();
-
- if (itr.index() < i)
- ++itr;
-
- PPL_ASSERT(itr == end() || itr.index() >= i);
-
- return itr;
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::lower_bound(iterator hint, dimension_type i) {
- PPL_ASSERT(i <= size());
-
- iterator itr = tree.bisect_near(hint, i);
-
- if (itr == end())
- return end();
-
- if (itr.index() < i)
- ++itr;
-
- PPL_ASSERT(itr == end() || itr.index() >= i);
-
- return itr;
-}
-
-inline Sparse_Row::const_iterator
-Sparse_Row::lower_bound(dimension_type i) const {
- PPL_ASSERT(i <= size());
-
- const_iterator itr = tree.bisect(i);
-
- if (itr == end())
- return end();
-
- if (itr.index() < i)
- ++itr;
-
- PPL_ASSERT(itr == end() || itr.index() >= i);
-
- return itr;
-}
-
-inline Sparse_Row::const_iterator
-Sparse_Row::lower_bound(const_iterator hint, dimension_type i) const {
- PPL_ASSERT(i <= size());
-
- const_iterator itr = tree.bisect_near(hint, i);
-
- if (itr == end())
- return end();
-
- if (itr.index() < i)
- ++itr;
-
- PPL_ASSERT(itr == end() || itr.index() >= i);
-
- return itr;
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::insert(dimension_type i, Coefficient_traits::const_reference x) {
- PPL_ASSERT(i < size_);
- return tree.insert(i, x);
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::insert(iterator itr, dimension_type i,
- Coefficient_traits::const_reference x) {
- PPL_ASSERT(i < size_);
- return tree.insert(itr, i, x);
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::insert(dimension_type i) {
- PPL_ASSERT(i < size_);
- return tree.insert(i);
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::insert(iterator itr, dimension_type i) {
- PPL_ASSERT(i < size_);
- return tree.insert(itr, i);
-}
-
-inline void
-Sparse_Row::swap_coefficients(iterator i, iterator j) {
- PPL_ASSERT(i != end());
- PPL_ASSERT(j != end());
- using std::swap;
- swap(*i, *j);
- PPL_ASSERT(OK());
-}
-
-inline void
-Sparse_Row::fast_swap(dimension_type i, iterator itr) {
- PPL_ASSERT(lower_bound(i) == itr);
- PPL_ASSERT(itr != end());
- tree.fast_shift(i, itr);
- PPL_ASSERT(OK());
-}
-
-inline Sparse_Row::iterator
-Sparse_Row::reset(iterator i) {
- iterator res = tree.erase(i);
- PPL_ASSERT(OK());
- return res;
-}
-
-inline void
-Sparse_Row::reset(dimension_type i) {
- PPL_ASSERT(i < size());
-
- tree.erase(i);
- PPL_ASSERT(OK());
-}
-
-inline memory_size_type
-Sparse_Row::external_memory_in_bytes() const {
- return tree.external_memory_in_bytes();
-}
-
-inline memory_size_type
-Sparse_Row::external_memory_in_bytes(dimension_type /* capacity */) const {
- return external_memory_in_bytes();
-}
-
-inline memory_size_type
-Sparse_Row::total_memory_in_bytes() const {
- return external_memory_in_bytes() + sizeof(*this);
-}
-
-inline memory_size_type
-Sparse_Row::total_memory_in_bytes(dimension_type /* capacity */) const {
- return total_memory_in_bytes();
-}
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Sparse_Row */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-inline void
-swap(Sparse_Row& x, Sparse_Row& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Sparse_Row_inlines_hh)
diff --git a/src/Sparse_Row.templates.hh b/src/Sparse_Row.templates.hh
deleted file mode 100644
index 76b2843..0000000
--- a/src/Sparse_Row.templates.hh
+++ /dev/null
@@ -1,147 +0,0 @@
-/* Sparse_Row class implementation: non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Sparse_Row_templates_hh
-#define PPL_Sparse_Row_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-
-template <typename Func1, typename Func2>
-void
-Sparse_Row::combine_needs_first(const Sparse_Row& y,
- const Func1& f, const Func2& g) {
- if (this == &y) {
- for (iterator i = begin(), i_end = end(); i != i_end; ++i)
- g(*i, *i);
- } else {
- iterator i = begin();
- // This is a const reference to an internal iterator, that is kept valid.
- // If we just stored a copy, that would be invalidated by the calls to
- // reset().
- const iterator& i_end = end();
- const_iterator j = y.begin();
- const_iterator j_end = y.end();
- while (i != i_end && j != j_end)
- if (i.index() == j.index()) {
- g(*i, *j);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- ++j;
- } else
- if (i.index() < j.index()) {
- f(*i);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- } else
- j = y.lower_bound(j, i.index());
- while (i != i_end) {
- f(*i);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- }
- }
-}
-
-template <typename Func1, typename Func2>
-void
-Sparse_Row::combine_needs_second(const Sparse_Row& y,
- const Func1& g,
- const Func2& /* h */) {
- iterator i = begin();
- for (const_iterator j = y.begin(), j_end = y.end(); j != j_end; ++j) {
- i = insert(i, j.index());
- g(*i, *j);
- if (*i == 0)
- i = reset(i);
- }
-}
-
-template <typename Func1, typename Func2, typename Func3>
-void
-Sparse_Row::combine(const Sparse_Row& y, const Func1& f,
- const Func2& g, const Func3& h) {
- if (this == &y) {
- for (iterator i = begin(), i_end = end(); i != i_end; ++i)
- g(*i, *i);
- } else {
- iterator i = begin();
- // This is a const reference to an internal iterator, that is kept valid.
- // If we just stored a copy, that would be invalidated by the calls to
- // reset() and insert().
- const iterator& i_end = end();
- const_iterator j = y.begin();
- const_iterator j_end = y.end();
- while (i != i_end && j != j_end) {
- if (i.index() == j.index()) {
- g(*i, *j);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- ++j;
- } else
- if (i.index() < j.index()) {
- f(*i);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- } else {
- PPL_ASSERT(i.index() > j.index());
- i = insert(i, j.index());
- h(*i, *j);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- ++j;
- }
- }
- PPL_ASSERT(i == i_end || j == j_end);
- while (i != i_end) {
- f(*i);
- if (*i == 0)
- i = reset(i);
- else
- ++i;
- }
- while (j != j_end) {
- i = insert(i, j.index());
- h(*i, *j);
- if (*i == 0)
- i = reset(i);
- ++j;
- }
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Sparse_Row_templates_hh)
diff --git a/src/Sparse_Row.types.hh b/src/Sparse_Row.types.hh
deleted file mode 100644
index adc1d9d..0000000
--- a/src/Sparse_Row.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Sparse_Row_types_hh
-#define PPL_Sparse_Row_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Sparse_Row;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Sparse_Row_types_hh)
diff --git a/src/Sparse_Row_defs.hh b/src/Sparse_Row_defs.hh
new file mode 100644
index 0000000..a8ee19a
--- /dev/null
+++ b/src/Sparse_Row_defs.hh
@@ -0,0 +1,930 @@
+/* Sparse_Row class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Sparse_Row_defs_hh
+#define PPL_Sparse_Row_defs_hh 1
+
+#include "Sparse_Row_types.hh"
+
+#include "CO_Tree_defs.hh"
+#include "Coefficient_defs.hh"
+#include "Dense_Row_types.hh"
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A finite sparse sequence of coefficients.
+/*! \ingroup PPL_CXX_interface
+ This class is implemented using a CO_Tree. See the documentation of CO_Tree
+ for details on the implementation and the performance.
+
+ This class is a drop-in replacement of Dense_Row, meaning that code
+ using Dense_Row can be ported to Sparse_Row changing only the type.
+ The resulting code will work, but probably needs more CPU and memory (it
+ does not exploit the sparse representation yet).
+
+ To take advantage of the sparse representation, the client code must then be
+ modified to use methods which can have a faster implementation on sparse
+ data structures.
+
+ The main changes are the replacement of calls to operator[] with calls to
+ find(), lower_bound() or insert(), using hint iterators when possible.
+ Sequential scanning of rows should probably be implemented using iterators
+ rather than indexes, to improve performance.
+ reset() should be called to zero elements.
+
+ \see Sparse_Matrix
+ \see CO_Tree
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Sparse_Row {
+
+public:
+
+ //! An %iterator on the row elements
+ /*!
+ This %iterator skips non-stored zeroes.
+ \see CO_Tree::iterator
+ */
+ typedef CO_Tree::iterator iterator;
+
+ //! A const %iterator on the row elements
+ /*!
+ This %iterator skips non-stored zeroes.
+ \see CO_Tree::const_iterator
+ */
+ typedef CO_Tree::const_iterator const_iterator;
+
+ //! Constructs a row with the specified size.
+ /*!
+ \param n
+ The size for the new row.
+
+ The row will contain only non-stored zeroes.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ explicit Sparse_Row(dimension_type n = 0);
+
+ //! Constructs a row with the specified size.
+ /*!
+ \param n
+ The size for the new row.
+
+ \param capacity
+ It is ignored. This parameter is needed for compatibility with Dense_Row.
+
+ The row will contain only non-stored zeroes.
+
+ This constructor takes \f$O(1)\f$ time.
+ */
+ Sparse_Row(dimension_type n, dimension_type capacity);
+
+ //! Copy constructor with specified capacity.
+ /*!
+ It is assumed that \p capacity is greater than or equal to
+ the size of \p y.
+ */
+ Sparse_Row(const Sparse_Row& y, dimension_type capacity);
+
+ //! Copy constructor with specified size and capacity.
+ /*!
+ It is assumed that \p sz is less than or equal to \p capacity.
+ */
+ Sparse_Row(const Sparse_Row& y, dimension_type sz, dimension_type capacity);
+
+ //! Constructor from a Dense_Row.
+ /*!
+ \param row
+ The row that will be copied into *this.
+
+ This constructor takes \f$O(n)\f$ time. Note that constructing of a row of
+ zeroes and then inserting n elements costs \f$O(n*\log^2 n)\f$ time.
+ */
+ explicit Sparse_Row(const Dense_Row& row);
+
+ //! Copy constructor from a Dense_Row with specified size and capacity.
+ /*!
+ It is assumed that \p sz is less than or equal to \p capacity.
+ */
+ Sparse_Row(const Dense_Row& y, dimension_type sz, dimension_type capacity);
+
+ Sparse_Row& operator=(const Dense_Row& row);
+
+ //! Swaps *this and x.
+ /*!
+ \param x
+ The row that will be swapped with *this.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void m_swap(Sparse_Row& x);
+
+ //! Returns the size of the row.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ dimension_type size() const;
+
+ //! Returns the number of elements explicitly stored in the row.
+ /*!
+ This is equivalent to std::distance(begin(), end()), but it's much faster.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ dimension_type num_stored_elements() const;
+
+ //! Resizes the row to the specified size.
+ /*!
+ \param n
+ The new size for the row.
+
+ This method takes \f$O(k*\log^2 n)\f$ amortized time when shrinking the
+ row and removing the trailing k elements.
+ It takes \f$O(1)\f$ time when enlarging the row.
+ */
+ void resize(dimension_type n);
+
+ //! Resizes the row to size \p n.
+ /*!
+ \param n
+ The new size for the row.
+
+ This method, with this signature, is needed for compatibility with
+ Dense_Row.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void expand_within_capacity(dimension_type n);
+
+ //! Resizes the row to size \p n.
+ /*!
+ \param n
+ The new size for the row.
+
+ This method, with this signature, is needed for compatibility with
+ Dense_Row.
+
+ This method takes \f$O(k*\log^2 n)\f$ amortized time where k is the number
+ of removed elements.
+ */
+ void shrink(dimension_type n);
+
+ /*!
+ \brief Deletes the i-th element from the row, shifting the next elements
+ to the left.
+
+ \param i
+ The index of the element that will be deleted.
+
+ The size of the row is decreased by 1.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(k+\log^2 n)\f$ amortized time, where k is the
+ number of elements with index greater than i.
+ */
+ void delete_element_and_shift(dimension_type i);
+
+ //! Adds \p n zeroes before index \p i.
+ /*!
+ \param n
+ The number of non-stored zeroes that will be added to the row.
+
+ \param i
+ The index of the element before which the zeroes will be added.
+
+ Existing elements with index greater than or equal to \p i are shifted to
+ the right by \p n positions. The size is increased by \p n.
+
+ Existing iterators are not invalidated, but are shifted to the right
+ by \p n if they pointed at or after index \p i (i.e., they point to
+ the same, possibly shifted, values as before).
+
+ This method takes \f$O(k + \log m)\f$ expected time, where \f$k\f$ is
+ the number of elements with index greater than or equal to \p i and
+ \f$m\f$ the number of stored elements.
+ */
+ void add_zeroes_and_shift(dimension_type n, dimension_type i);
+
+ //! Returns an %iterator that points at the first stored element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ iterator begin();
+
+ //! Returns an %iterator that points after the last stored element.
+ /*!
+ This method always returns a reference to the same internal %iterator,
+ that is kept valid.
+ Client code can keep a const reference to that %iterator instead of
+ keep updating a local %iterator.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const iterator& end();
+
+ //! Equivalent to <CODE>cbegin()</CODE>.
+ const_iterator begin() const;
+
+ //! Equivalent to <CODE>cend()</CODE>.
+ const const_iterator& end() const;
+
+ //! Returns an %iterator that points at the first element.
+ /*!
+ This method takes \f$O(1)\f$ time.
+ */
+ const_iterator cbegin() const;
+
+ //! Returns an %iterator that points after the last element.
+ /*!
+ This method always returns a reference to the same internal %iterator,
+ that is updated at each operation that modifies the structure.
+ Client code can keep a const reference to that %iterator instead of
+ keep updating a local %iterator.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ const const_iterator& cend() const;
+
+ //! Returns the size() of the largest possible Sparse_Row.
+ static dimension_type max_size();
+
+ //! Resets all the elements of this row.
+ /*!
+ This method takes \f$O(n)\f$ time.
+ */
+ void clear();
+
+ //! Gets a reference to the i-th element.
+ /*!
+ \param i
+ The index of the desired element.
+
+ For read-only access it's better to use get(), that avoids allocating
+ space for zeroes.
+
+ If possible, use the insert(), find() or lower_bound() methods with
+ a hint instead of this, to improve performance.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log n)\f$ amortized time when there is already an
+ element with index \p i, and \f$O(\log^2 n)\f$ otherwise.
+ */
+ Coefficient& operator[](dimension_type i);
+
+ //! Equivalent to <CODE>get(i)</CODE>, provided for convenience.
+ /*!
+ This method takes \f$O(\log n)\f$ time.
+ */
+ Coefficient_traits::const_reference operator[](dimension_type i) const;
+
+ //! Gets the i-th element in the sequence.
+ /*!
+ \param i
+ The index of the desired element.
+
+ If possible, use the insert(), find() or lower_bound() methods with
+ a hint instead of this, to improve performance.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Looks for an element with index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ If possible, use the find() method that takes a hint %iterator, to improve
+ performance.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ iterator find(dimension_type i);
+
+ //! Looks for an element with index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param itr
+ It is used as a hint. This method will be faster if the searched element
+ is near to \p itr.
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this row. \p itr may even be end().
+
+ This method takes \f$O(\log n)\f$ time.
+ If the distance between \p itr and the searched position is \f$O(1)\f$,
+ this method takes \f$O(1)\f$ time.
+ */
+ iterator find(iterator itr, dimension_type i);
+
+ //! Looks for an element with index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ If possible, use the find() method that takes a hint %iterator, to improve
+ performance.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ const_iterator find(dimension_type i) const;
+
+ //! Looks for an element with index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param itr
+ It is used as a hint. This method will be faster if the searched element
+ is near to \p itr.
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this row. \p itr may even be end().
+
+ This method takes \f$O(\log n)\f$ time.
+ If the distance between \p itr and the searched position is \f$O(1)\f$,
+ this method takes \f$O(1)\f$ time.
+ */
+ const_iterator find(const_iterator itr, dimension_type i) const;
+
+ //! Lower bound of index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \returns an %iterator to the first element with index greater than or
+ equal to i.
+ If there are no such elements, returns end().
+
+ If possible, use the find() method that takes a hint %iterator, to improve
+ performance.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ iterator lower_bound(dimension_type i);
+
+ //! Lower bound of index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param itr
+ It is used as a hint. This method will be faster if the searched element
+ is near to \p itr.
+
+ \returns an %iterator to the first element with index greater than or
+ equal to i.
+ If there are no such elements, returns end().
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this row. \p itr may even be end().
+
+ This method takes \f$O(\log n)\f$ time.
+ If the distance between \p itr and the searched position is \f$O(1)\f$,
+ this method takes \f$O(1)\f$ time.
+ */
+ iterator lower_bound(iterator itr, dimension_type i);
+
+ //! Lower bound of index i.
+ /*!
+
+ \param i
+ The index of the desired element.
+
+ \returns an %iterator to the first element with index greater than or
+ equal to i.
+ If there are no such elements, returns end().
+
+ If possible, use the find() method that takes a hint %iterator, to improve
+ performance.
+
+ This method takes \f$O(\log n)\f$ time.
+ */
+ const_iterator lower_bound(dimension_type i) const;
+
+ //! Lower bound of index i.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param itr
+ It is used as a hint. This method will be faster if the searched element
+ is near to \p itr.
+
+ \returns an %iterator to the first element with index greater than or
+ equal to i.
+ If there are no such elements, returns end().
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this row. \p itr may even be end().
+
+ This method takes \f$O(\log n)\f$ time.
+ If the distance between \p itr and the searched position is \f$O(1)\f$,
+ this method takes \f$O(1)\f$ time.
+ */
+ const_iterator lower_bound(const_iterator itr, dimension_type i) const;
+
+ //! Equivalent to <CODE>(*this)[i] = x; find(i)</CODE>, but faster.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param x
+ The value that will be associated to the element.
+
+ If possible, use versions of this method that take a hint, to improve
+ performance.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ iterator insert(dimension_type i, Coefficient_traits::const_reference x);
+
+ //! Equivalent to <CODE>(*this)[i] = x; find(i)</CODE>, but faster.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param x
+ The value that will be associated to the element.
+
+ \param itr
+ It is used as a hint. This method will be faster if the searched element
+ is near to \p itr, even faster than <CODE>(*this)[i] = x</CODE>.
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this row. \p itr may even be end().
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time. If the distance
+ between \p itr and the searched position is \f$O(1)\f$ and the row already
+ contains an element with this index, this method takes \f$O(1)\f$ time.
+ */
+ iterator insert(iterator itr, dimension_type i,
+ Coefficient_traits::const_reference x);
+
+ //! Equivalent to <CODE>(*this)[i]; find(i)</CODE>, but faster.
+ /*!
+ \param i
+ The index of the desired element.
+
+ If possible, use versions of this method that take a hint, to improve
+ performance.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ iterator insert(dimension_type i);
+
+ //! Equivalent to <CODE>(*this)[i]; find(i)</CODE>, but faster.
+ /*!
+ \param i
+ The index of the desired element.
+
+ \param itr
+ It is used as a hint. This method will be faster if the searched element
+ is near to \p itr, even faster than <CODE>(*this)[i]</CODE>.
+
+ The value of \p itr does not affect the result of this method, as long it
+ is a valid %iterator for this row. \p itr may even be end().
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time. If the distance
+ between \p itr and the searched position is \f$O(1)\f$ and the row already
+ contains an element with this index, this method takes \f$O(1)\f$ time.
+ */
+ iterator insert(iterator itr, dimension_type i);
+
+ //! Swaps the i-th element with the j-th element.
+ /*!
+ \param i
+ The index of an element.
+
+ \param j
+ The index of another element.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ void swap_coefficients(dimension_type i, dimension_type j);
+
+ //! Equivalent to swap(i,itr.index()), but it assumes that
+ //! lower_bound(i)==itr.
+ /*!
+ Iterators that pointed to the itr.index()-th element remain valid
+ but now point to the i-th element. Other iterators are unaffected.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void fast_swap(dimension_type i, iterator itr);
+
+ //! Swaps the element pointed to by i with the element pointed to by j.
+ /*!
+ \param i
+ An %iterator pointing to an element.
+
+ \param j
+ An %iterator pointing to another element.
+
+ This method takes \f$O(1)\f$ time.
+ */
+ void swap_coefficients(iterator i, iterator j);
+
+ //! Resets to zero the value pointed to by i.
+ /*!
+ \param i
+ An %iterator pointing to the element that will be reset (not stored
+ anymore).
+
+ By calling this method instead of getting a reference to the value and
+ setting it to zero, the element will no longer be stored.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ iterator reset(iterator i);
+
+ //! Resets to zero the values in the range [first,last).
+ /*!
+ \param first
+ An %iterator pointing to the first element to reset.
+
+ \param last
+ An %iterator pointing after the last element to reset.
+
+ By calling this method instead of getting a reference to the values and
+ setting them to zero, the elements will no longer be stored.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(k*\log^2 n)\f$ amortized time, where k is the
+ number of elements in [first,last).
+ */
+ iterator reset(iterator first, iterator last);
+
+ //! Resets to zero the i-th element.
+ /*!
+ \param i
+ The index of the element to reset.
+
+ By calling this method instead of getting a reference to the value and
+ setting it to zero, the element will no longer be stored.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(\log^2 n)\f$ amortized time.
+ */
+ void reset(dimension_type i);
+
+ //! Resets to zero the elements with index greater than or equal to i.
+ /*!
+ \param i
+ The index of the first element to reset.
+
+ By calling this method instead of getting a reference to the values and
+ setting them to zero, the elements will no longer be stored.
+
+ This operation invalidates existing iterators.
+
+ This method takes \f$O(k*\log^2 n)\f$ amortized time, where k is the
+ number of elements with index greater than or equal to i.
+ */
+ void reset_after(dimension_type i);
+
+ //! Normalizes the modulo of coefficients so that they are mutually prime.
+ /*!
+ Computes the Greatest Common Divisor (GCD) among the elements of the row
+ and normalizes them by the GCD itself.
+
+ This method takes \f$O(n)\f$ time.
+ */
+ void normalize();
+
+ //! Calls g(x[i],y[i]), for each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param f
+ A functor that should take a Coefficient&.
+ f(c1) must be equivalent to g(c1, 0).
+
+ \param g
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ g(c1, c2) must do nothing when c1 is zero.
+
+ This method takes \f$O(n*\log^2 n)\f$ time.
+
+ \note
+ The functors will only be called when necessary, assuming the requested
+ properties hold.
+
+ \see combine_needs_second
+ \see combine
+ */
+ template <typename Func1, typename Func2>
+ void combine_needs_first(const Sparse_Row& y,
+ const Func1& f, const Func2& g);
+
+ //! Calls g(x[i],y[i]), for each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param g
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ g(c1, 0) must do nothing, for every c1.
+
+ \param h
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
+
+ This method takes \f$O(n*\log^2 n)\f$ time.
+
+ \note
+ The functors will only be called when necessary, assuming the requested
+ properties hold.
+
+ \see combine_needs_first
+ \see combine
+ */
+ template <typename Func1, typename Func2>
+ void combine_needs_second(const Sparse_Row& y,
+ const Func1& g, const Func2& h);
+
+ //! Calls g(x[i],y[i]), for each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param f
+ A functor that should take a Coefficient&.
+ f(c1) must be equivalent to g(c1, 0).
+
+ \param g
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ g(c1, c2) must do nothing when both c1 and c2 are zero.
+
+ \param h
+ A functor that should take a Coefficient& and a
+ Coefficient_traits::const_reference.
+ h(c1, c2) must be equivalent to g(c1, c2) when c1 is zero.
+
+ This method takes \f$O(n*\log^2 n)\f$ time.
+
+ \note
+ The functors will only be called when necessary, assuming the requested
+ properties hold.
+
+ \see combine_needs_first
+ \see combine_needs_second
+ */
+ template <typename Func1, typename Func2, typename Func3>
+ void combine(const Sparse_Row& y,
+ const Func1& f, const Func2& g, const Func3& h);
+
+ //! Executes <CODE>(*this)[i] = (*this)[i]*coeff1 + y[i]*coeff2</CODE>, for
+ //! each i.
+ /*!
+ \param y
+ The row that will be combined with *this.
+
+ \param coeff1
+ The coefficient used for elements of *this.
+ This must not be 0.
+
+ \param coeff2
+ The coefficient used for elements of y.
+ This must not be 0.
+
+ This method takes \f$O(n*\log^2 n)\f$ time.
+
+ \note
+ The functors will only be called when necessary.
+ This method can be implemented in user code, too. It is provided for
+ convenience only.
+
+ \see combine_needs_first
+ \see combine_needs_second
+ \see combine
+ */
+ void linear_combine(const Sparse_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2);
+
+ //! Equivalent to <CODE>(*this)[i] = (*this)[i] * c1 + y[i] * c2</CODE>,
+ //! for each i in [start, end).
+ /*!
+ This method, unlike the other linear_combine() method, detects when
+ coeff1==1 and/or coeff2==1 or coeff2==-1 in order to save some work.
+ */
+ void linear_combine(const Sparse_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+ PPL_OUTPUT_DECLARATIONS
+
+ //! Loads the row from an ASCII representation generated using ascii_dump().
+ /*!
+ \param s
+ The stream from which the ASCII representation will be loaded.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ This method takes \f$O(n)\f$ time.
+ */
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ This method is provided for compatibility with Dense_Row.
+
+ This method takes \f$O(n)\f$ time.
+
+ \param capacity
+ This parameter is ignored.
+ */
+ memory_size_type external_memory_in_bytes(dimension_type capacity) const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ This method takes \f$O(n)\f$ time.
+ */
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ /*!
+ This method is provided for compatibility with Dense_Row.
+
+ This method takes \f$O(n)\f$ time.
+
+ \param capacity
+ This parameter is ignored.
+ */
+ memory_size_type total_memory_in_bytes(dimension_type capacity) const;
+
+ //! Checks the invariant.
+ bool OK() const;
+
+ //! Checks the invariant.
+ /*!
+ This method is provided for compatibility with Dense_Row.
+
+ \param capacity
+ This parameter is ignored.
+ */
+ bool OK(dimension_type capacity) const;
+
+private:
+ //! The tree used to store the elements.
+ CO_Tree tree;
+
+ //! The size of the row.
+ /*!
+ The elements contained in this row have indexes that are less than size_.
+ */
+ dimension_type size_;
+};
+
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(Parma_Polyhedra_Library::Sparse_Row& x,
+ Parma_Polyhedra_Library::Sparse_Row& y);
+
+void swap(Parma_Polyhedra_Library::Sparse_Row& x,
+ Parma_Polyhedra_Library::Dense_Row& y);
+
+void swap(Parma_Polyhedra_Library::Dense_Row& x,
+ Parma_Polyhedra_Library::Sparse_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator==(const Sparse_Row& x, const Sparse_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool operator!=(const Sparse_Row& x, const Sparse_Row& y);
+
+bool operator==(const Dense_Row& x, const Sparse_Row& y);
+bool operator!=(const Dense_Row& x, const Sparse_Row& y);
+
+bool operator==(const Sparse_Row& x, const Dense_Row& y);
+bool operator!=(const Sparse_Row& x, const Dense_Row& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Sparse_Row& x, const Dense_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Sparse_Row
+ This function detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
+ order to save some work.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Sparse_Row& x, const Dense_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Dense_Row& x, const Sparse_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Sparse_Row
+ This function detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
+ order to save some work.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Dense_Row& x, const Sparse_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Sparse_Row& x, const Sparse_Row& y,
+ Coefficient_traits::const_reference coeff1,
+ Coefficient_traits::const_reference coeff2);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Equivalent to <CODE>x[i] = x[i] * c1 + y[i] * c2</CODE>,
+//! for each i in [start, end).
+/*! \relates Sparse_Row
+ This function detects when coeff1==1 and/or coeff2==1 or coeff2==-1 in
+ order to save some work.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void linear_combine(Sparse_Row& x, const Sparse_Row& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Sparse_Row_inlines.hh"
+#include "Sparse_Row_templates.hh"
+
+#endif // !defined(PPL_Sparse_Row_defs_hh)
diff --git a/src/Sparse_Row_inlines.hh b/src/Sparse_Row_inlines.hh
new file mode 100644
index 0000000..1d4ba74
--- /dev/null
+++ b/src/Sparse_Row_inlines.hh
@@ -0,0 +1,378 @@
+/* Sparse_Row class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Sparse_Row_inlines_hh
+#define PPL_Sparse_Row_inlines_hh 1
+
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Sparse_Row::Sparse_Row(dimension_type n)
+ : size_(n) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Sparse_Row::Sparse_Row(dimension_type n, dimension_type)
+ : size_(n) {
+ PPL_ASSERT(OK());
+}
+
+inline
+Sparse_Row::Sparse_Row(const Sparse_Row& y, dimension_type)
+ : tree(y.tree), size_(y.size_) {
+}
+
+inline
+Sparse_Row::Sparse_Row(const Sparse_Row& y, dimension_type sz, dimension_type)
+ : tree(y.begin(),
+ std::distance(y.begin(), y.lower_bound(std::min(y.size(), sz)))),
+ size_(sz) {
+ PPL_ASSERT(OK());
+}
+
+inline void
+Sparse_Row::m_swap(Sparse_Row& x) {
+ using std::swap;
+ swap(tree, x.tree);
+ swap(size_, x.size_);
+ PPL_ASSERT(OK());
+ PPL_ASSERT(x.OK());
+}
+
+inline dimension_type
+Sparse_Row::size() const {
+ return size_;
+}
+
+inline dimension_type
+Sparse_Row::num_stored_elements() const {
+ return tree.size();
+}
+
+inline void
+Sparse_Row::resize(dimension_type n) {
+ if (n < size_)
+ reset_after(n);
+ size_ = n;
+ PPL_ASSERT(OK());
+}
+
+inline void
+Sparse_Row::shrink(dimension_type n) {
+ PPL_ASSERT(size() >= n);
+ resize(n);
+}
+
+inline void
+Sparse_Row::expand_within_capacity(dimension_type n) {
+ PPL_ASSERT(size() <= n);
+ resize(n);
+}
+
+inline void
+Sparse_Row::delete_element_and_shift(dimension_type i) {
+ PPL_ASSERT(i < size_);
+ tree.erase_element_and_shift_left(i);
+ --size_;
+ PPL_ASSERT(OK());
+}
+
+inline void
+Sparse_Row::add_zeroes_and_shift(dimension_type n, dimension_type i) {
+ PPL_ASSERT(i <= size_);
+ tree.increase_keys_from(i, n);
+ size_ += n;
+ PPL_ASSERT(OK());
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::begin() {
+ return tree.begin();
+}
+
+inline const Sparse_Row::iterator&
+Sparse_Row::end() {
+ return tree.end();
+}
+
+inline Sparse_Row::const_iterator
+Sparse_Row::begin() const {
+ return tree.cbegin();
+}
+
+inline const Sparse_Row::const_iterator&
+Sparse_Row::end() const {
+ return tree.cend();
+}
+
+inline Sparse_Row::const_iterator
+Sparse_Row::cbegin() const {
+ return tree.cbegin();
+}
+
+inline const Sparse_Row::const_iterator&
+Sparse_Row::cend() const {
+ return tree.cend();
+}
+
+inline dimension_type
+Sparse_Row::max_size() {
+ return CO_Tree::max_size();
+}
+
+inline void
+Sparse_Row::clear() {
+ tree.clear();
+}
+
+inline Coefficient&
+Sparse_Row::operator[](dimension_type i) {
+ PPL_ASSERT(i < size_);
+ iterator itr = insert(i);
+ return *itr;
+}
+
+inline Coefficient_traits::const_reference
+Sparse_Row::operator[](dimension_type i) const {
+ return get(i);
+}
+
+inline Coefficient_traits::const_reference
+Sparse_Row::get(dimension_type i) const {
+ PPL_ASSERT(i < size_);
+ if (tree.empty())
+ return Coefficient_zero();
+ const_iterator itr = find(i);
+ if (itr != end())
+ return *itr;
+ else
+ return Coefficient_zero();
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::find(dimension_type i) {
+ PPL_ASSERT(i < size());
+
+ iterator itr = tree.bisect(i);
+
+ if (itr != end() && itr.index() == i)
+ return itr;
+
+ return end();
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::find(iterator hint, dimension_type i) {
+ PPL_ASSERT(i < size());
+
+ iterator itr = tree.bisect_near(hint, i);
+
+ if (itr != end() && itr.index() == i)
+ return itr;
+
+ return end();
+}
+
+inline Sparse_Row::const_iterator
+Sparse_Row::find(dimension_type i) const {
+ PPL_ASSERT(i < size());
+
+ const_iterator itr = tree.bisect(i);
+
+ if (itr != end() && itr.index() == i)
+ return itr;
+
+ return end();
+}
+
+inline Sparse_Row::const_iterator
+Sparse_Row::find(const_iterator hint, dimension_type i) const {
+ PPL_ASSERT(i < size());
+
+ const_iterator itr = tree.bisect_near(hint, i);
+
+ if (itr != end() && itr.index() == i)
+ return itr;
+
+ return end();
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::lower_bound(dimension_type i) {
+ PPL_ASSERT(i <= size());
+
+ iterator itr = tree.bisect(i);
+
+ if (itr == end())
+ return end();
+
+ if (itr.index() < i)
+ ++itr;
+
+ PPL_ASSERT(itr == end() || itr.index() >= i);
+
+ return itr;
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::lower_bound(iterator hint, dimension_type i) {
+ PPL_ASSERT(i <= size());
+
+ iterator itr = tree.bisect_near(hint, i);
+
+ if (itr == end())
+ return end();
+
+ if (itr.index() < i)
+ ++itr;
+
+ PPL_ASSERT(itr == end() || itr.index() >= i);
+
+ return itr;
+}
+
+inline Sparse_Row::const_iterator
+Sparse_Row::lower_bound(dimension_type i) const {
+ PPL_ASSERT(i <= size());
+
+ const_iterator itr = tree.bisect(i);
+
+ if (itr == end())
+ return end();
+
+ if (itr.index() < i)
+ ++itr;
+
+ PPL_ASSERT(itr == end() || itr.index() >= i);
+
+ return itr;
+}
+
+inline Sparse_Row::const_iterator
+Sparse_Row::lower_bound(const_iterator hint, dimension_type i) const {
+ PPL_ASSERT(i <= size());
+
+ const_iterator itr = tree.bisect_near(hint, i);
+
+ if (itr == end())
+ return end();
+
+ if (itr.index() < i)
+ ++itr;
+
+ PPL_ASSERT(itr == end() || itr.index() >= i);
+
+ return itr;
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::insert(dimension_type i, Coefficient_traits::const_reference x) {
+ PPL_ASSERT(i < size_);
+ return tree.insert(i, x);
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::insert(iterator itr, dimension_type i,
+ Coefficient_traits::const_reference x) {
+ PPL_ASSERT(i < size_);
+ return tree.insert(itr, i, x);
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::insert(dimension_type i) {
+ PPL_ASSERT(i < size_);
+ return tree.insert(i);
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::insert(iterator itr, dimension_type i) {
+ PPL_ASSERT(i < size_);
+ return tree.insert(itr, i);
+}
+
+inline void
+Sparse_Row::swap_coefficients(iterator i, iterator j) {
+ PPL_ASSERT(i != end());
+ PPL_ASSERT(j != end());
+ using std::swap;
+ swap(*i, *j);
+ PPL_ASSERT(OK());
+}
+
+inline void
+Sparse_Row::fast_swap(dimension_type i, iterator itr) {
+ PPL_ASSERT(lower_bound(i) == itr);
+ PPL_ASSERT(itr != end());
+ tree.fast_shift(i, itr);
+ PPL_ASSERT(OK());
+}
+
+inline Sparse_Row::iterator
+Sparse_Row::reset(iterator i) {
+ iterator res = tree.erase(i);
+ PPL_ASSERT(OK());
+ return res;
+}
+
+inline void
+Sparse_Row::reset(dimension_type i) {
+ PPL_ASSERT(i < size());
+
+ tree.erase(i);
+ PPL_ASSERT(OK());
+}
+
+inline memory_size_type
+Sparse_Row::external_memory_in_bytes() const {
+ return tree.external_memory_in_bytes();
+}
+
+inline memory_size_type
+Sparse_Row::external_memory_in_bytes(dimension_type /* capacity */) const {
+ return external_memory_in_bytes();
+}
+
+inline memory_size_type
+Sparse_Row::total_memory_in_bytes() const {
+ return external_memory_in_bytes() + sizeof(*this);
+}
+
+inline memory_size_type
+Sparse_Row::total_memory_in_bytes(dimension_type /* capacity */) const {
+ return total_memory_in_bytes();
+}
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Sparse_Row */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+inline void
+swap(Sparse_Row& x, Sparse_Row& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Sparse_Row_inlines_hh)
diff --git a/src/Sparse_Row_templates.hh b/src/Sparse_Row_templates.hh
new file mode 100644
index 0000000..c703a3e
--- /dev/null
+++ b/src/Sparse_Row_templates.hh
@@ -0,0 +1,153 @@
+/* Sparse_Row class implementation: non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Sparse_Row_templates_hh
+#define PPL_Sparse_Row_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+
+template <typename Func1, typename Func2>
+void
+Sparse_Row::combine_needs_first(const Sparse_Row& y,
+ const Func1& f, const Func2& g) {
+ if (this == &y) {
+ for (iterator i = begin(), i_end = end(); i != i_end; ++i)
+ g(*i, *i);
+ }
+ else {
+ iterator i = begin();
+ // This is a const reference to an internal iterator, that is kept valid.
+ // If we just stored a copy, that would be invalidated by the calls to
+ // reset().
+ const iterator& i_end = end();
+ const_iterator j = y.begin();
+ const_iterator j_end = y.end();
+ while (i != i_end && j != j_end)
+ if (i.index() == j.index()) {
+ g(*i, *j);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ ++j;
+ }
+ else
+ if (i.index() < j.index()) {
+ f(*i);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ }
+ else
+ j = y.lower_bound(j, i.index());
+ while (i != i_end) {
+ f(*i);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ }
+ }
+}
+
+template <typename Func1, typename Func2>
+void
+Sparse_Row::combine_needs_second(const Sparse_Row& y,
+ const Func1& g,
+ const Func2& /* h */) {
+ iterator i = begin();
+ for (const_iterator j = y.begin(), j_end = y.end(); j != j_end; ++j) {
+ i = insert(i, j.index());
+ g(*i, *j);
+ if (*i == 0)
+ i = reset(i);
+ }
+}
+
+template <typename Func1, typename Func2, typename Func3>
+void
+Sparse_Row::combine(const Sparse_Row& y, const Func1& f,
+ const Func2& g, const Func3& h) {
+ if (this == &y) {
+ for (iterator i = begin(), i_end = end(); i != i_end; ++i)
+ g(*i, *i);
+ }
+ else {
+ iterator i = begin();
+ // This is a const reference to an internal iterator, that is kept valid.
+ // If we just stored a copy, that would be invalidated by the calls to
+ // reset() and insert().
+ const iterator& i_end = end();
+ const_iterator j = y.begin();
+ const_iterator j_end = y.end();
+ while (i != i_end && j != j_end) {
+ if (i.index() == j.index()) {
+ g(*i, *j);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ ++j;
+ }
+ else
+ if (i.index() < j.index()) {
+ f(*i);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ }
+ else {
+ PPL_ASSERT(i.index() > j.index());
+ i = insert(i, j.index());
+ h(*i, *j);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ ++j;
+ }
+ }
+ PPL_ASSERT(i == i_end || j == j_end);
+ while (i != i_end) {
+ f(*i);
+ if (*i == 0)
+ i = reset(i);
+ else
+ ++i;
+ }
+ while (j != j_end) {
+ i = insert(i, j.index());
+ h(*i, *j);
+ if (*i == 0)
+ i = reset(i);
+ ++j;
+ }
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Sparse_Row_templates_hh)
diff --git a/src/Sparse_Row_types.hh b/src/Sparse_Row_types.hh
new file mode 100644
index 0000000..e8b60f9
--- /dev/null
+++ b/src/Sparse_Row_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Sparse_Row_types_hh
+#define PPL_Sparse_Row_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Sparse_Row;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Sparse_Row_types_hh)
diff --git a/src/Sum_Floating_Point_Expression.defs.hh b/src/Sum_Floating_Point_Expression.defs.hh
deleted file mode 100644
index fd0d411..0000000
--- a/src/Sum_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,213 +0,0 @@
-/* Declarations for the Sum_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Sum_Floating_Point_Expression_defs_hh
-#define PPL_Sum_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Sum_Floating_Point_Expression.types.hh"
-#include <map>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Sum_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-void swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Sum Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of sum floating-point expressions
-
- Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
- \f$i' + \sum_{v \in \cV}i'_{v}v \f$
- be two linear forms and \f$\aslf\f$ a sound abstract operator on linear
- forms such that:
-
- \f[
- \left(i + \sum_{v \in \cV}i_{v}v \right)
- \aslf
- \left(i' + \sum_{v \in \cV}i'_{v}v \right)
- =
- \left(i \asifp i'\right)
- + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v} \right)v.
- \f]
-
- Given an expression \f$e_{1} \oplus e_{2}\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval linear form
- \f$\linexprenv{e_{1} \oplus e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
- as follows:
- \f[
- \linexprenv{e_{1} \oplus e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- =
- \linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \aslf
- \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- \aslf
- \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
- \right)
- \aslf
- \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
- \right)
- \aslf
- mf_{\mathbf{f}}[-1, 1]
- \f]
- where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
- calling method <CODE>Floating_Point_Expression::relative_error</CODE>
- on \f$l\f$ and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
- <CODE>Floating_Point_Expression::absolute_error</CODE>.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Sum_Floating_Point_Expression
- : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>
- ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /*! \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /*! \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with two parameters: builds the sum floating point expression
- corresponding to \p x \f$\oplus\f$ \p y.
- */
- Sum_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
-
- //! Destructor.
- ~Sum_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given astract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Note that all variables occuring in the expressions represented
- by \p first_operand and \p second_operand MUST have an associated value in
- \p int_store. If this precondition is not met, calling the method
- causes an undefined behavior.
-
- See the class description for a detailed explanation of how \p result
- is computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-private:
-
- //! Pointer to the first operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
- //! Pointer to the second operand.
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Sum_Floating_Point_Expression(
- const Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& e);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited assignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
- operator=(const Sum_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
-
-}; // class Sum_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Sum_Floating_Point_Expression.inlines.hh"
-#include "Sum_Floating_Point_Expression.templates.hh"
-
-#endif // !defined(PPL_Sum_Floating_Point_Expression_defs_hh)
diff --git a/src/Sum_Floating_Point_Expression.inlines.hh b/src/Sum_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 8a6339f..0000000
--- a/src/Sum_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,70 +0,0 @@
-/* Sum_Floating_Point_Expression class implementation: inline
- functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Sum_Floating_Point_Expression_inlines_hh
-#define PPL_Sum_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::Sum_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y)
- : first_operand(x), second_operand(y) {
- assert(x != 0);
- assert(y != 0);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::~Sum_Floating_Point_Expression() {
- delete first_operand;
- delete second_operand;
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- using std::swap;
- swap(first_operand, y.first_operand);
- swap(second_operand, y.second_operand);
-}
-
-/*! \relates Sum_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Sum_Floating_Point_Expression_inlines_hh)
diff --git a/src/Sum_Floating_Point_Expression.templates.hh b/src/Sum_Floating_Point_Expression.templates.hh
deleted file mode 100644
index ae6f0bd..0000000
--- a/src/Sum_Floating_Point_Expression.templates.hh
+++ /dev/null
@@ -1,53 +0,0 @@
-/* Sum_Floating_Point_Expression class implementation:
- non-inline template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Sum_Floating_Point_Expression_templates_hh
-#define PPL_Sum_Floating_Point_Expression_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-bool Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- if (!first_operand->linearize(int_store, lf_store, result))
- return false;
- FP_Linear_Form rel_error;
- relative_error(result, rel_error);
- result += rel_error;
- FP_Linear_Form linearized_second_operand;
- if (!second_operand->linearize(int_store, lf_store,
- linearized_second_operand))
- return false;
- result += linearized_second_operand;
- relative_error(linearized_second_operand, rel_error);
- result += rel_error;
- result += this->absolute_error;
- return !this->overflows(result);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Sum_Floating_Point_Expression_templates_hh)
diff --git a/src/Sum_Floating_Point_Expression.types.hh b/src/Sum_Floating_Point_Expression.types.hh
deleted file mode 100644
index 3d4db67..0000000
--- a/src/Sum_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Sum_Floating_Point_Expression_types_hh
-#define PPL_Sum_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Sum_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Sum_Floating_Point_Expression_types_hh)
diff --git a/src/Sum_Floating_Point_Expression_defs.hh b/src/Sum_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..5d4e02e
--- /dev/null
+++ b/src/Sum_Floating_Point_Expression_defs.hh
@@ -0,0 +1,213 @@
+/* Declarations for the Sum_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Sum_Floating_Point_Expression_defs_hh
+#define PPL_Sum_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Sum_Floating_Point_Expression_types.hh"
+#include <map>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Sum_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+void swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Sum Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of sum floating-point expressions
+
+ Let \f$i + \sum_{v \in \cV}i_{v}v \f$ and
+ \f$i' + \sum_{v \in \cV}i'_{v}v \f$
+ be two linear forms and \f$\aslf\f$ a sound abstract operator on linear
+ forms such that:
+
+ \f[
+ \left(i + \sum_{v \in \cV}i_{v}v \right)
+ \aslf
+ \left(i' + \sum_{v \in \cV}i'_{v}v \right)
+ =
+ \left(i \asifp i'\right)
+ + \sum_{v \in \cV}\left(i_{v} \asifp i'_{v} \right)v.
+ \f]
+
+ Given an expression \f$e_{1} \oplus e_{2}\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval linear form
+ \f$\linexprenv{e_{1} \oplus e_{2}}{\rho^{\#}}{\rho^{\#}_l}\f$
+ as follows:
+ \f[
+ \linexprenv{e_{1} \oplus e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ =
+ \linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \aslf
+ \linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ \aslf
+ \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{1}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)
+ \aslf
+ \varepsilon_{\mathbf{f}}\left(\linexprenv{e_{2}}{\rho^{\#}}{\rho^{\#}_l}
+ \right)
+ \aslf
+ mf_{\mathbf{f}}[-1, 1]
+ \f]
+ where \f$\varepsilon_{\mathbf{f}}(l)\f$ is the linear form computed by
+ calling method <CODE>Floating_Point_Expression::relative_error</CODE>
+ on \f$l\f$ and \f$mf_{\mathbf{f}}\f$ is a rounding error defined in
+ <CODE>Floating_Point_Expression::absolute_error</CODE>.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Sum_Floating_Point_Expression
+ : public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>
+ ::FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with two parameters: builds the sum floating point expression
+ corresponding to \p x \f$\oplus\f$ \p y.
+ */
+ Sum_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
+
+ //! Destructor.
+ ~Sum_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given astract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Note that all variables occuring in the expressions represented
+ by \p first_operand and \p second_operand MUST have an associated value in
+ \p int_store. If this precondition is not met, calling the method
+ causes an undefined behavior.
+
+ See the class description for a detailed explanation of how \p result
+ is computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+private:
+
+ //! Pointer to the first operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* first_operand;
+ //! Pointer to the second operand.
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* second_operand;
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Sum_Floating_Point_Expression(
+ const Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& e);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited assignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
+ operator=(const Sum_Floating_Point_Expression<FP_Interval_Type,
+ FP_Format>& e);
+
+
+}; // class Sum_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Sum_Floating_Point_Expression_inlines.hh"
+#include "Sum_Floating_Point_Expression_templates.hh"
+
+#endif // !defined(PPL_Sum_Floating_Point_Expression_defs_hh)
diff --git a/src/Sum_Floating_Point_Expression_inlines.hh b/src/Sum_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..8b91262
--- /dev/null
+++ b/src/Sum_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,70 @@
+/* Sum_Floating_Point_Expression class implementation: inline
+ functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Sum_Floating_Point_Expression_inlines_hh
+#define PPL_Sum_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::Sum_Floating_Point_Expression(
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y)
+ : first_operand(x), second_operand(y) {
+ assert(x != 0);
+ assert(y != 0);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::~Sum_Floating_Point_Expression() {
+ delete first_operand;
+ delete second_operand;
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ using std::swap;
+ swap(first_operand, y.first_operand);
+ swap(second_operand, y.second_operand);
+}
+
+/*! \relates Sum_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Sum_Floating_Point_Expression_inlines_hh)
diff --git a/src/Sum_Floating_Point_Expression_templates.hh b/src/Sum_Floating_Point_Expression_templates.hh
new file mode 100644
index 0000000..e1d4a62
--- /dev/null
+++ b/src/Sum_Floating_Point_Expression_templates.hh
@@ -0,0 +1,53 @@
+/* Sum_Floating_Point_Expression class implementation:
+ non-inline template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Sum_Floating_Point_Expression_templates_hh
+#define PPL_Sum_Floating_Point_Expression_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+bool Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ if (!first_operand->linearize(int_store, lf_store, result))
+ return false;
+ FP_Linear_Form rel_error;
+ relative_error(result, rel_error);
+ result += rel_error;
+ FP_Linear_Form linearized_second_operand;
+ if (!second_operand->linearize(int_store, lf_store,
+ linearized_second_operand))
+ return false;
+ result += linearized_second_operand;
+ relative_error(linearized_second_operand, rel_error);
+ result += rel_error;
+ result += this->absolute_error;
+ return !this->overflows(result);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Sum_Floating_Point_Expression_templates_hh)
diff --git a/src/Sum_Floating_Point_Expression_types.hh b/src/Sum_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..4597db7
--- /dev/null
+++ b/src/Sum_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Sum_Floating_Point_Expression_types_hh
+#define PPL_Sum_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Sum_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Sum_Floating_Point_Expression_types_hh)
diff --git a/src/Swapping_Vector.defs.hh b/src/Swapping_Vector.defs.hh
deleted file mode 100644
index aeea888..0000000
--- a/src/Swapping_Vector.defs.hh
+++ /dev/null
@@ -1,98 +0,0 @@
-/* Swapping_Vector class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Swapping_Vector_defs_hh
-#define PPL_Swapping_Vector_defs_hh 1
-
-#include "Swapping_Vector.types.hh"
-#include "globals.defs.hh"
-
-#include <vector>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A wrapper for std::vector that calls a swap() method instead of copying
-//! elements, when possible.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Swapping_Vector {
-
-public:
- typedef typename std::vector<T>::const_iterator const_iterator;
- typedef typename std::vector<T>::iterator iterator;
- typedef typename std::vector<T>::size_type size_type;
-
- Swapping_Vector();
- explicit Swapping_Vector(dimension_type new_size);
- Swapping_Vector(dimension_type new_size, const T& x);
-
- void clear();
- void reserve(dimension_type new_capacity);
- void resize(dimension_type new_size);
- void resize(dimension_type new_size, const T& x);
-
- dimension_type size() const;
- dimension_type capacity() const;
- bool empty() const;
-
- void m_swap(Swapping_Vector& v);
-
- T& operator[](dimension_type i);
- const T& operator[](dimension_type i) const;
-
- T& back();
- const T& back() const;
-
- void push_back(const T& x);
- void pop_back();
-
- iterator begin();
- iterator end();
- const_iterator begin() const;
- const_iterator end() const;
-
- iterator erase(iterator itr);
- iterator erase(iterator first, iterator last);
-
- // This is defined only if T has an external_memory_in_bytes() method.
- memory_size_type external_memory_in_bytes() const;
-
- dimension_type max_num_rows();
-
-private:
- std::vector<T> impl;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \relates Swapping_Vector */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-void swap(Swapping_Vector<T>& x, Swapping_Vector<T>& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Swapping_Vector.inlines.hh"
-
-#endif // !defined(PPL_Swapping_Vector_defs_hh)
diff --git a/src/Swapping_Vector.inlines.hh b/src/Swapping_Vector.inlines.hh
deleted file mode 100644
index b02e825..0000000
--- a/src/Swapping_Vector.inlines.hh
+++ /dev/null
@@ -1,234 +0,0 @@
-/* Swapping_Vector class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Swapping_Vector_inlines_hh
-#define PPL_Swapping_Vector_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline
-Swapping_Vector<T>::Swapping_Vector()
- : impl() {
-}
-
-template <typename T>
-inline
-Swapping_Vector<T>::Swapping_Vector(dimension_type i)
- : impl() {
- // NOTE: This is not the same as constructing impl as `impl(i)', because
- // this implementation calls compute_capacity().
- resize(i);
-}
-
-template <typename T>
-inline
-Swapping_Vector<T>::Swapping_Vector(dimension_type new_size, const T& x)
- : impl() {
- resize(new_size, x);
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::clear() {
- impl.clear();
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::reserve(dimension_type new_capacity) {
- if (impl.capacity() < new_capacity) {
- // Reallocation will take place.
- std::vector<T> new_impl;
-
- new_impl.reserve(compute_capacity(new_capacity, max_num_rows()));
- new_impl.resize(impl.size());
-
- using std::swap;
-
- // Steal the old elements.
- for (dimension_type i = impl.size(); i-- > 0; )
- swap(new_impl[i], impl[i]);
-
- // Put the new vector into place.
- swap(impl, new_impl);
- }
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::resize(dimension_type new_size) {
- reserve(new_size);
- impl.resize(new_size);
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::resize(dimension_type new_size, const T& x) {
- reserve(new_size);
- impl.resize(new_size, x);
-}
-
-template <typename T>
-inline dimension_type
-Swapping_Vector<T>::size() const {
- return impl.size();
-}
-
-template <typename T>
-inline dimension_type
-Swapping_Vector<T>::capacity() const {
- return impl.capacity();
-}
-
-template <typename T>
-inline bool
-Swapping_Vector<T>::empty() const {
- return impl.empty();
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::m_swap(Swapping_Vector& v) {
- using std::swap;
- swap(impl, v.impl);
-}
-
-template <typename T>
-inline T&
-Swapping_Vector<T>::operator[](dimension_type i) {
- return impl[i];
-}
-
-template <typename T>
-inline const T&
-Swapping_Vector<T>::operator[](dimension_type i) const {
- return impl[i];
-}
-
-template <typename T>
-inline T&
-Swapping_Vector<T>::back() {
- return impl.back();
-}
-
-template <typename T>
-inline const T&
-Swapping_Vector<T>::back() const {
- return impl.back();
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::push_back(const T& x) {
- reserve(size() + 1);
- impl.push_back(x);
-}
-
-template <typename T>
-inline void
-Swapping_Vector<T>::pop_back() {
- impl.pop_back();
-}
-
-template <typename T>
-inline memory_size_type
-Swapping_Vector<T>::external_memory_in_bytes() const {
- // Estimate the size of vector.
- memory_size_type n = impl.capacity() * sizeof(T);
- for (const_iterator i = begin(), i_end = end(); i != i_end; ++i)
- n += i->external_memory_in_bytes();
- return n;
-}
-
-template <typename T>
-inline typename Swapping_Vector<T>::iterator
-Swapping_Vector<T>::begin() {
- return impl.begin();
-}
-
-template <typename T>
-inline typename Swapping_Vector<T>::iterator
-Swapping_Vector<T>::end() {
- return impl.end();
-}
-
-template <typename T>
-inline typename Swapping_Vector<T>::const_iterator
-Swapping_Vector<T>::begin() const {
- return impl.begin();
-}
-
-template <typename T>
-inline typename Swapping_Vector<T>::const_iterator
-Swapping_Vector<T>::end() const {
- return impl.end();
-}
-
-template <typename T>
-inline typename Swapping_Vector<T>::iterator
-Swapping_Vector<T>::erase(iterator itr) {
- PPL_ASSERT(itr >= begin());
- PPL_ASSERT(itr < end());
- const dimension_type old_i = itr - begin();
- dimension_type i = old_i;
- ++i;
- while (i != size())
- swap(impl[i-1], impl[i]);
- impl.pop_back();
- return begin() + old_i;
-}
-
-template <typename T>
-inline typename Swapping_Vector<T>::iterator
-Swapping_Vector<T>::erase(iterator first, iterator last) {
- PPL_ASSERT(begin() <= first);
- PPL_ASSERT(first <= last);
- PPL_ASSERT(last <= end());
- const iterator old_first = first;
- typedef typename std::iterator_traits<iterator>::difference_type diff_t;
- const diff_t k = last - first;
- const dimension_type n = static_cast<dimension_type>(end() - last);
- using std::swap;
- for (dimension_type i = 0; i < n; ++i, ++first)
- swap(*first, *(first + k));
- impl.erase(end() - k, end());
- return old_first;
-}
-
-template <typename T>
-inline dimension_type
-Swapping_Vector<T>::max_num_rows() {
- return impl.max_size();
-}
-
-template <typename T>
-inline void
-swap(Swapping_Vector<T>& vec1, Swapping_Vector<T>& vec2) {
- vec1.m_swap(vec2);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-
-#endif // !defined(PPL_Swapping_Vector_inlines_hh)
diff --git a/src/Swapping_Vector.types.hh b/src/Swapping_Vector.types.hh
deleted file mode 100644
index 5135027..0000000
--- a/src/Swapping_Vector.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Swapping_Vector_types_hh
-#define PPL_Swapping_Vector_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-class Swapping_Vector;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Swapping_Vector_types_hh)
diff --git a/src/Swapping_Vector_defs.hh b/src/Swapping_Vector_defs.hh
new file mode 100644
index 0000000..870ac65
--- /dev/null
+++ b/src/Swapping_Vector_defs.hh
@@ -0,0 +1,98 @@
+/* Swapping_Vector class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Swapping_Vector_defs_hh
+#define PPL_Swapping_Vector_defs_hh 1
+
+#include "Swapping_Vector_types.hh"
+#include "globals_defs.hh"
+
+#include <vector>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A wrapper for std::vector that calls a swap() method instead of copying
+//! elements, when possible.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Swapping_Vector {
+
+public:
+ typedef typename std::vector<T>::const_iterator const_iterator;
+ typedef typename std::vector<T>::iterator iterator;
+ typedef typename std::vector<T>::size_type size_type;
+
+ Swapping_Vector();
+ explicit Swapping_Vector(dimension_type new_size);
+ Swapping_Vector(dimension_type new_size, const T& x);
+
+ void clear();
+ void reserve(dimension_type new_capacity);
+ void resize(dimension_type new_size);
+ void resize(dimension_type new_size, const T& x);
+
+ dimension_type size() const;
+ dimension_type capacity() const;
+ bool empty() const;
+
+ void m_swap(Swapping_Vector& v);
+
+ T& operator[](dimension_type i);
+ const T& operator[](dimension_type i) const;
+
+ T& back();
+ const T& back() const;
+
+ void push_back(const T& x);
+ void pop_back();
+
+ iterator begin();
+ iterator end();
+ const_iterator begin() const;
+ const_iterator end() const;
+
+ iterator erase(iterator itr);
+ iterator erase(iterator first, iterator last);
+
+ // This is defined only if T has an external_memory_in_bytes() method.
+ memory_size_type external_memory_in_bytes() const;
+
+ dimension_type max_num_rows();
+
+private:
+ std::vector<T> impl;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \relates Swapping_Vector */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+void swap(Swapping_Vector<T>& x, Swapping_Vector<T>& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Swapping_Vector_inlines.hh"
+
+#endif // !defined(PPL_Swapping_Vector_defs_hh)
diff --git a/src/Swapping_Vector_inlines.hh b/src/Swapping_Vector_inlines.hh
new file mode 100644
index 0000000..8754102
--- /dev/null
+++ b/src/Swapping_Vector_inlines.hh
@@ -0,0 +1,234 @@
+/* Swapping_Vector class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Swapping_Vector_inlines_hh
+#define PPL_Swapping_Vector_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+Swapping_Vector<T>::Swapping_Vector()
+ : impl() {
+}
+
+template <typename T>
+inline
+Swapping_Vector<T>::Swapping_Vector(dimension_type i)
+ : impl() {
+ // NOTE: This is not the same as constructing impl as `impl(i)', because
+ // this implementation calls compute_capacity().
+ resize(i);
+}
+
+template <typename T>
+inline
+Swapping_Vector<T>::Swapping_Vector(dimension_type new_size, const T& x)
+ : impl() {
+ resize(new_size, x);
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::clear() {
+ impl.clear();
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::reserve(dimension_type new_capacity) {
+ if (impl.capacity() < new_capacity) {
+ // Reallocation will take place.
+ std::vector<T> new_impl;
+
+ new_impl.reserve(compute_capacity(new_capacity, max_num_rows()));
+ new_impl.resize(impl.size());
+
+ using std::swap;
+
+ // Steal the old elements.
+ for (dimension_type i = impl.size(); i-- > 0; )
+ swap(new_impl[i], impl[i]);
+
+ // Put the new vector into place.
+ swap(impl, new_impl);
+ }
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::resize(dimension_type new_size) {
+ reserve(new_size);
+ impl.resize(new_size);
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::resize(dimension_type new_size, const T& x) {
+ reserve(new_size);
+ impl.resize(new_size, x);
+}
+
+template <typename T>
+inline dimension_type
+Swapping_Vector<T>::size() const {
+ return impl.size();
+}
+
+template <typename T>
+inline dimension_type
+Swapping_Vector<T>::capacity() const {
+ return impl.capacity();
+}
+
+template <typename T>
+inline bool
+Swapping_Vector<T>::empty() const {
+ return impl.empty();
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::m_swap(Swapping_Vector& v) {
+ using std::swap;
+ swap(impl, v.impl);
+}
+
+template <typename T>
+inline T&
+Swapping_Vector<T>::operator[](dimension_type i) {
+ return impl[i];
+}
+
+template <typename T>
+inline const T&
+Swapping_Vector<T>::operator[](dimension_type i) const {
+ return impl[i];
+}
+
+template <typename T>
+inline T&
+Swapping_Vector<T>::back() {
+ return impl.back();
+}
+
+template <typename T>
+inline const T&
+Swapping_Vector<T>::back() const {
+ return impl.back();
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::push_back(const T& x) {
+ reserve(size() + 1);
+ impl.push_back(x);
+}
+
+template <typename T>
+inline void
+Swapping_Vector<T>::pop_back() {
+ impl.pop_back();
+}
+
+template <typename T>
+inline memory_size_type
+Swapping_Vector<T>::external_memory_in_bytes() const {
+ // Estimate the size of vector.
+ memory_size_type n = impl.capacity() * sizeof(T);
+ for (const_iterator i = begin(), i_end = end(); i != i_end; ++i)
+ n += i->external_memory_in_bytes();
+ return n;
+}
+
+template <typename T>
+inline typename Swapping_Vector<T>::iterator
+Swapping_Vector<T>::begin() {
+ return impl.begin();
+}
+
+template <typename T>
+inline typename Swapping_Vector<T>::iterator
+Swapping_Vector<T>::end() {
+ return impl.end();
+}
+
+template <typename T>
+inline typename Swapping_Vector<T>::const_iterator
+Swapping_Vector<T>::begin() const {
+ return impl.begin();
+}
+
+template <typename T>
+inline typename Swapping_Vector<T>::const_iterator
+Swapping_Vector<T>::end() const {
+ return impl.end();
+}
+
+template <typename T>
+inline typename Swapping_Vector<T>::iterator
+Swapping_Vector<T>::erase(iterator itr) {
+ PPL_ASSERT(itr >= begin());
+ PPL_ASSERT(itr < end());
+ const dimension_type old_i = itr - begin();
+ dimension_type i = old_i;
+ ++i;
+ while (i != size())
+ swap(impl[i-1], impl[i]);
+ impl.pop_back();
+ return begin() + old_i;
+}
+
+template <typename T>
+inline typename Swapping_Vector<T>::iterator
+Swapping_Vector<T>::erase(iterator first, iterator last) {
+ PPL_ASSERT(begin() <= first);
+ PPL_ASSERT(first <= last);
+ PPL_ASSERT(last <= end());
+ const iterator old_first = first;
+ typedef typename std::iterator_traits<iterator>::difference_type diff_t;
+ const diff_t k = last - first;
+ const dimension_type n = static_cast<dimension_type>(end() - last);
+ using std::swap;
+ for (dimension_type i = 0; i < n; ++i, ++first)
+ swap(*first, *(first + k));
+ impl.erase(end() - k, end());
+ return old_first;
+}
+
+template <typename T>
+inline dimension_type
+Swapping_Vector<T>::max_num_rows() {
+ return impl.max_size();
+}
+
+template <typename T>
+inline void
+swap(Swapping_Vector<T>& vec1, Swapping_Vector<T>& vec2) {
+ vec1.m_swap(vec2);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+
+#endif // !defined(PPL_Swapping_Vector_inlines_hh)
diff --git a/src/Swapping_Vector_types.hh b/src/Swapping_Vector_types.hh
new file mode 100644
index 0000000..98a587e
--- /dev/null
+++ b/src/Swapping_Vector_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Swapping_Vector_types_hh
+#define PPL_Swapping_Vector_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+class Swapping_Vector;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Swapping_Vector_types_hh)
diff --git a/src/Temp.defs.hh b/src/Temp.defs.hh
deleted file mode 100644
index 89b934e..0000000
--- a/src/Temp.defs.hh
+++ /dev/null
@@ -1,143 +0,0 @@
-/* Temp_* classes declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Temp_defs_hh
-#define PPL_Temp_defs_hh 1
-
-#include "meta_programming.hh"
-#include "Slow_Copy.hh"
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A pool of temporary items of type \p T.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Temp_Item {
-public:
- //! Obtains a reference to a temporary item.
- static Temp_Item& obtain();
-
- //! Releases the temporary item \p p.
- static void release(Temp_Item& p);
-
- //! Returns a reference to the encapsulated item.
- T& item();
-
-private:
- //! The encapsulated item.
- T item_;
-
- //! Pointer to the next item in the free list.
- Temp_Item* next;
-
- //! Head of the free list.
- static Temp_Item* free_list_head;
-
- //! Default constructor.
- Temp_Item();
-
- //! Copy constructor: private and intentionally not implemented.
- Temp_Item(const Temp_Item&);
-
- //! Assignment operator: private and intentionally not implemented.
- Temp_Item& operator=(const Temp_Item&);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! An holder for a reference to a temporary object.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Temp_Reference_Holder {
-public:
- //! Constructs an holder holding a dirty temp.
- Temp_Reference_Holder();
-
- //! Destructor.
- ~Temp_Reference_Holder();
-
- //! Returns a reference to the held item.
- T& item();
-
-private:
- //! Copy constructor: private and intentionally not implemented.
- Temp_Reference_Holder(const Temp_Reference_Holder&);
-
- //! Assignment operator: private and intentionally not implemented.
- Temp_Reference_Holder& operator=(const Temp_Reference_Holder&);
-
- //! The held item, encapsulated.
- Temp_Item<T>& held;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! An (fake) holder for the value of a temporary object.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Temp_Value_Holder {
-public:
- //! Constructs a fake holder.
- Temp_Value_Holder();
-
- //! Returns the value of the held item.
- T& item();
-
-private:
- //! Copy constructor: private and intentionally not implemented.
- Temp_Value_Holder(const Temp_Value_Holder&);
-
- //! Assignment operator: private and intentionally not implemented.
- Temp_Value_Holder& operator=(const Temp_Value_Holder&);
-
- //! The held item.
- T item_;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A structure for the efficient handling of temporaries.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T, typename Enable = void>
-class Dirty_Temp;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Specialization for the handling of temporaries with a free list.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Dirty_Temp<T, typename Enable_If<Slow_Copy<T>::value>::type>
- : public Temp_Reference_Holder<T> {
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Specialization for the handling of temporaries with local variables.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-class Dirty_Temp<T, typename Enable_If<!Slow_Copy<T>::value>::type>
- : public Temp_Value_Holder<T> {
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Temp.inlines.hh"
-#include "Temp.templates.hh"
-
-#endif // !defined(PPL_Temp_defs_hh)
diff --git a/src/Temp.inlines.hh b/src/Temp.inlines.hh
deleted file mode 100644
index 5dd7152..0000000
--- a/src/Temp.inlines.hh
+++ /dev/null
@@ -1,97 +0,0 @@
-/* Temp_* classes implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Temp_inlines_hh
-#define PPL_Temp_inlines_hh 1
-
-#include "meta_programming.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-inline
-Temp_Item<T>::Temp_Item()
- : item_() {
-}
-
-template <typename T>
-inline T&
-Temp_Item<T>::item() {
- return item_;
-}
-
-template <typename T>
-inline Temp_Item<T>&
-Temp_Item<T>::obtain() {
- if (free_list_head != 0) {
- Temp_Item* p = free_list_head;
- free_list_head = free_list_head->next;
- return *p;
- }
- else
- return *new Temp_Item();
-}
-
-template <typename T>
-inline void
-Temp_Item<T>::release(Temp_Item& p) {
- p.next = free_list_head;
- free_list_head = &p;
-}
-
-template <typename T>
-inline
-Temp_Reference_Holder<T>::Temp_Reference_Holder()
- : held(Temp_Item<T>::obtain()) {
-}
-
-template <typename T>
-inline
-Temp_Reference_Holder<T>::~Temp_Reference_Holder() {
- Temp_Item<T>::release(held);
-}
-
-template <typename T>
-inline T&
-Temp_Reference_Holder<T>::item() {
- return held.item();
-}
-
-template <typename T>
-inline
-Temp_Value_Holder<T>::Temp_Value_Holder() {
-}
-
-template <typename T>
-inline T&
-Temp_Value_Holder<T>::item() {
- return item_;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#define PPL_DIRTY_TEMP(T, id) \
- Parma_Polyhedra_Library::Dirty_Temp<PPL_U(T)> holder_ ## id; \
- PPL_U(T)& PPL_U(id) = holder_ ## id.item()
-
-#endif // !defined(PPL_Temp_inlines_hh)
diff --git a/src/Temp.templates.hh b/src/Temp.templates.hh
deleted file mode 100644
index 741a40c..0000000
--- a/src/Temp.templates.hh
+++ /dev/null
@@ -1,34 +0,0 @@
-/* Temp_* classes implementation: non-inline template members.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Temp_templates_hh
-#define PPL_Temp_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T>
-Temp_Item<T>* Temp_Item<T>::free_list_head = 0;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Temp_templates_hh)
diff --git a/src/Temp_defs.hh b/src/Temp_defs.hh
new file mode 100644
index 0000000..fbffd7f
--- /dev/null
+++ b/src/Temp_defs.hh
@@ -0,0 +1,143 @@
+/* Temp_* classes declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Temp_defs_hh
+#define PPL_Temp_defs_hh 1
+
+#include "meta_programming.hh"
+#include "Slow_Copy.hh"
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A pool of temporary items of type \p T.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Temp_Item {
+public:
+ //! Obtains a reference to a temporary item.
+ static Temp_Item& obtain();
+
+ //! Releases the temporary item \p p.
+ static void release(Temp_Item& p);
+
+ //! Returns a reference to the encapsulated item.
+ T& item();
+
+private:
+ //! The encapsulated item.
+ T item_;
+
+ //! Pointer to the next item in the free list.
+ Temp_Item* next;
+
+ //! Head of the free list.
+ static Temp_Item* free_list_head;
+
+ //! Default constructor.
+ Temp_Item();
+
+ //! Copy constructor: private and intentionally not implemented.
+ Temp_Item(const Temp_Item&);
+
+ //! Assignment operator: private and intentionally not implemented.
+ Temp_Item& operator=(const Temp_Item&);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An holder for a reference to a temporary object.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Temp_Reference_Holder {
+public:
+ //! Constructs an holder holding a dirty temp.
+ Temp_Reference_Holder();
+
+ //! Destructor.
+ ~Temp_Reference_Holder();
+
+ //! Returns a reference to the held item.
+ T& item();
+
+private:
+ //! Copy constructor: private and intentionally not implemented.
+ Temp_Reference_Holder(const Temp_Reference_Holder&);
+
+ //! Assignment operator: private and intentionally not implemented.
+ Temp_Reference_Holder& operator=(const Temp_Reference_Holder&);
+
+ //! The held item, encapsulated.
+ Temp_Item<T>& held;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An (fake) holder for the value of a temporary object.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Temp_Value_Holder {
+public:
+ //! Constructs a fake holder.
+ Temp_Value_Holder();
+
+ //! Returns the value of the held item.
+ T& item();
+
+private:
+ //! Copy constructor: private and intentionally not implemented.
+ Temp_Value_Holder(const Temp_Value_Holder&);
+
+ //! Assignment operator: private and intentionally not implemented.
+ Temp_Value_Holder& operator=(const Temp_Value_Holder&);
+
+ //! The held item.
+ T item_;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A structure for the efficient handling of temporaries.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T, typename Enable = void>
+class Dirty_Temp;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Specialization for the handling of temporaries with a free list.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Dirty_Temp<T, typename Enable_If<Slow_Copy<T>::value>::type>
+ : public Temp_Reference_Holder<T> {
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Specialization for the handling of temporaries with local variables.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Dirty_Temp<T, typename Enable_If<!Slow_Copy<T>::value>::type>
+ : public Temp_Value_Holder<T> {
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Temp_inlines.hh"
+#include "Temp_templates.hh"
+
+#endif // !defined(PPL_Temp_defs_hh)
diff --git a/src/Temp_inlines.hh b/src/Temp_inlines.hh
new file mode 100644
index 0000000..036d8ea
--- /dev/null
+++ b/src/Temp_inlines.hh
@@ -0,0 +1,97 @@
+/* Temp_* classes implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Temp_inlines_hh
+#define PPL_Temp_inlines_hh 1
+
+#include "meta_programming.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+Temp_Item<T>::Temp_Item()
+ : item_() {
+}
+
+template <typename T>
+inline T&
+Temp_Item<T>::item() {
+ return item_;
+}
+
+template <typename T>
+inline Temp_Item<T>&
+Temp_Item<T>::obtain() {
+ if (free_list_head != 0) {
+ Temp_Item* const p = free_list_head;
+ free_list_head = free_list_head->next;
+ return *p;
+ }
+ else
+ return *new Temp_Item();
+}
+
+template <typename T>
+inline void
+Temp_Item<T>::release(Temp_Item& p) {
+ p.next = free_list_head;
+ free_list_head = &p;
+}
+
+template <typename T>
+inline
+Temp_Reference_Holder<T>::Temp_Reference_Holder()
+ : held(Temp_Item<T>::obtain()) {
+}
+
+template <typename T>
+inline
+Temp_Reference_Holder<T>::~Temp_Reference_Holder() {
+ Temp_Item<T>::release(held);
+}
+
+template <typename T>
+inline T&
+Temp_Reference_Holder<T>::item() {
+ return held.item();
+}
+
+template <typename T>
+inline
+Temp_Value_Holder<T>::Temp_Value_Holder() {
+}
+
+template <typename T>
+inline T&
+Temp_Value_Holder<T>::item() {
+ return item_;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#define PPL_DIRTY_TEMP(T, id) \
+ Parma_Polyhedra_Library::Dirty_Temp<PPL_U(T)> holder_ ## id; \
+ PPL_U(T)& PPL_U(id) = holder_ ## id.item()
+
+#endif // !defined(PPL_Temp_inlines_hh)
diff --git a/src/Temp_templates.hh b/src/Temp_templates.hh
new file mode 100644
index 0000000..fe31aa0
--- /dev/null
+++ b/src/Temp_templates.hh
@@ -0,0 +1,34 @@
+/* Temp_* classes implementation: non-inline template members.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Temp_templates_hh
+#define PPL_Temp_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+Temp_Item<T>* Temp_Item<T>::free_list_head = 0;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Temp_templates_hh)
diff --git a/src/Threshold_Watcher.cc b/src/Threshold_Watcher.cc
index 70a0a2c..4444a63 100644
--- a/src/Threshold_Watcher.cc
+++ b/src/Threshold_Watcher.cc
@@ -1,7 +1,7 @@
/* Threshold_Watcher and associated classes' implementation
(non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,5 +23,5 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Threshold_Watcher.defs.hh"
+#include "Threshold_Watcher_defs.hh"
diff --git a/src/Threshold_Watcher.defs.hh b/src/Threshold_Watcher.defs.hh
deleted file mode 100644
index 4896adc..0000000
--- a/src/Threshold_Watcher.defs.hh
+++ /dev/null
@@ -1,96 +0,0 @@
-/* Threshold_Watcher and associated classes' declaration and inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Threshold_Watcher_defs_hh
-#define PPL_Threshold_Watcher_defs_hh 1
-
-#include "Threshold_Watcher.types.hh"
-#include "Handler.types.hh"
-#include "Pending_List.defs.hh"
-#include <cassert>
-
-/*! \brief
- A class of watchdogs controlling the exceeding of a threshold.
-
- \tparam Traits
- A class to set data types and functions for the threshold handling.
- See \c Parma_Polyhedra_Library::Weightwatch_Traits for an example.
-*/
-template <typename Traits>
-class Parma_Polyhedra_Library::Threshold_Watcher {
-public:
- template <typename Flag_Base, typename Flag>
- Threshold_Watcher(const typename Traits::Delta& delta,
- const Flag_Base* volatile& holder,
- Flag& flag);
-
- Threshold_Watcher(const typename Traits::Delta& delta,
- void (*function)());
-
- ~Threshold_Watcher();
-
-private:
- typedef Implementation::Watchdog::Pending_List<Traits> TW_Pending_List;
- typedef Implementation::Watchdog::Handler TW_Handler;
-
- bool expired;
- const TW_Handler& handler;
- typename TW_Pending_List::Iterator pending_position;
-
- // Just to prevent their use.
- Threshold_Watcher(const Threshold_Watcher&);
- Threshold_Watcher& operator=(const Threshold_Watcher&);
-
- struct Initialize {
- //! The ordered queue of pending thresholds.
- TW_Pending_List pending;
- };
- static Initialize init;
-
- // Handle the addition of a new threshold.
- static typename TW_Pending_List::Iterator
- add_threshold(typename Traits::Threshold threshold,
- const TW_Handler& handler,
- bool& expired_flag);
-
- // Handle the removal of a threshold.
- static typename TW_Pending_List::Iterator
- remove_threshold(typename TW_Pending_List::Iterator position);
-
- //! Check threshold reaching.
- static void check();
-
-}; // class Parma_Polyhedra_Library::Threshold_Watcher
-
-
-// Templatic initialization of static data member.
-template <typename Traits>
-typename
-Parma_Polyhedra_Library::Threshold_Watcher<Traits>::Initialize
-Parma_Polyhedra_Library::Threshold_Watcher<Traits>::init;
-
-#include "Threshold_Watcher.inlines.hh"
-#include "Threshold_Watcher.templates.hh"
-
-#endif // !defined(PPL_Threshold_Watcher_defs_hh)
-
diff --git a/src/Threshold_Watcher.inlines.hh b/src/Threshold_Watcher.inlines.hh
deleted file mode 100644
index 3c5267f..0000000
--- a/src/Threshold_Watcher.inlines.hh
+++ /dev/null
@@ -1,66 +0,0 @@
-/* Threshold_Watcher and associated classes' implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Threshold_Watcher_inlines_hh
-#define PPL_Threshold_Watcher_inlines_hh 1
-
-#include <stdexcept>
-
-#include "Handler.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Traits>
-template <typename Flag_Base, typename Flag>
-Threshold_Watcher<Traits>
-::Threshold_Watcher(const typename Traits::Delta& delta,
- const Flag_Base* volatile& holder,
- Flag& flag)
- : expired(false),
- handler(*new
- Implementation::Watchdog::Handler_Flag<Flag_Base, Flag>(holder,
- flag)) {
- typename Traits::Threshold threshold;
- Traits::from_delta(threshold, delta);
- if (!Traits::less_than(Traits::get(), threshold))
- throw std::invalid_argument("Threshold_Watcher constructor called with a"
- " threshold already reached");
- pending_position = add_threshold(threshold, handler, expired);
-}
-
-template <typename Traits>
-inline
-Threshold_Watcher<Traits>::Threshold_Watcher(const typename Traits::Delta& delta, void (*function)())
- : expired(false),
- handler(*new Implementation::Watchdog::Handler_Function(function)) {
- typename Traits::Threshold threshold;
- Traits::from_delta(threshold, delta);
- if (!Traits::less_than(Traits::get(), threshold))
- throw std::invalid_argument("Threshold_Watcher constructor called with a"
- " threshold already reached");
- pending_position = add_threshold(threshold, handler, expired);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Threshold_Watcher_inlines_hh)
diff --git a/src/Threshold_Watcher.templates.hh b/src/Threshold_Watcher.templates.hh
deleted file mode 100644
index 24692a9..0000000
--- a/src/Threshold_Watcher.templates.hh
+++ /dev/null
@@ -1,72 +0,0 @@
-/* Threshold_Watcher and associated classes'.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Threshold_Watcher_templates_hh
-#define PPL_Threshold_Watcher_templates_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Traits>
-typename Threshold_Watcher<Traits>::TW_Pending_List::Iterator
-Threshold_Watcher<Traits>::add_threshold(typename Traits::Threshold threshold,
- const TW_Handler& handler,
- bool& expired_flag) {
- Traits::check_function = Threshold_Watcher::check;
- return init.pending.insert(threshold, handler, expired_flag);
-}
-
-template <typename Traits>
-typename Threshold_Watcher<Traits>::TW_Pending_List::Iterator
-Threshold_Watcher<Traits>
-::remove_threshold(typename TW_Pending_List::Iterator position) {
- typename TW_Pending_List::Iterator i = init.pending.erase(position);
- if (init.pending.empty())
- Traits::check_function = 0;
- return i;
-}
-
-template <typename Traits>
-Threshold_Watcher<Traits>::~Threshold_Watcher() {
- if (!expired)
- remove_threshold(pending_position);
- delete &handler;
-}
-
-template <typename Traits>
-void
-Threshold_Watcher<Traits>::check() {
- typename TW_Pending_List::Iterator i = init.pending.begin();
- assert(i != init.pending.end());
- const typename Traits::Threshold& current = Traits::get();
- while (!Traits::less_than(current, i->deadline())) {
- i->handler().act();
- i->expired_flag() = true;
- i = remove_threshold(i);
- if (i == init.pending.end())
- break;
- }
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Threshold_Watcher_templates_hh)
diff --git a/src/Threshold_Watcher.types.hh b/src/Threshold_Watcher.types.hh
deleted file mode 100644
index 9003f9f..0000000
--- a/src/Threshold_Watcher.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Threshold_Watcher_types_hh
-#define PPL_Threshold_Watcher_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Traits>
-class Threshold_Watcher;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Threshold_Watcher_types_hh)
diff --git a/src/Threshold_Watcher_defs.hh b/src/Threshold_Watcher_defs.hh
new file mode 100644
index 0000000..172c208
--- /dev/null
+++ b/src/Threshold_Watcher_defs.hh
@@ -0,0 +1,96 @@
+/* Threshold_Watcher and associated classes' declaration and inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Threshold_Watcher_defs_hh
+#define PPL_Threshold_Watcher_defs_hh 1
+
+#include "Threshold_Watcher_types.hh"
+#include "Handler_types.hh"
+#include "Pending_List_defs.hh"
+#include <cassert>
+
+/*! \brief
+ A class of watchdogs controlling the exceeding of a threshold.
+
+ \tparam Traits
+ A class to set data types and functions for the threshold handling.
+ See \c Parma_Polyhedra_Library::Weightwatch_Traits for an example.
+*/
+template <typename Traits>
+class Parma_Polyhedra_Library::Threshold_Watcher {
+public:
+ template <typename Flag_Base, typename Flag>
+ Threshold_Watcher(const typename Traits::Delta& delta,
+ const Flag_Base* volatile& holder,
+ Flag& flag);
+
+ Threshold_Watcher(const typename Traits::Delta& delta,
+ void (*function)());
+
+ ~Threshold_Watcher();
+
+private:
+ typedef Implementation::Watchdog::Pending_List<Traits> TW_Pending_List;
+ typedef Implementation::Watchdog::Handler TW_Handler;
+
+ bool expired;
+ const TW_Handler& handler;
+ typename TW_Pending_List::iterator pending_position;
+
+ // Just to prevent their use.
+ Threshold_Watcher(const Threshold_Watcher&);
+ Threshold_Watcher& operator=(const Threshold_Watcher&);
+
+ struct Initialize {
+ //! The ordered queue of pending thresholds.
+ TW_Pending_List pending;
+ };
+ static Initialize init;
+
+ // Handle the addition of a new threshold.
+ static typename TW_Pending_List::iterator
+ add_threshold(typename Traits::Threshold threshold,
+ const TW_Handler& handler,
+ bool& expired_flag);
+
+ // Handle the removal of a threshold.
+ static typename TW_Pending_List::iterator
+ remove_threshold(typename TW_Pending_List::iterator position);
+
+ //! Check threshold reaching.
+ static void check();
+
+}; // class Parma_Polyhedra_Library::Threshold_Watcher
+
+
+// Templatic initialization of static data member.
+template <typename Traits>
+typename
+Parma_Polyhedra_Library::Threshold_Watcher<Traits>::Initialize
+Parma_Polyhedra_Library::Threshold_Watcher<Traits>::init;
+
+#include "Threshold_Watcher_inlines.hh"
+#include "Threshold_Watcher_templates.hh"
+
+#endif // !defined(PPL_Threshold_Watcher_defs_hh)
+
diff --git a/src/Threshold_Watcher_inlines.hh b/src/Threshold_Watcher_inlines.hh
new file mode 100644
index 0000000..5e7c1de
--- /dev/null
+++ b/src/Threshold_Watcher_inlines.hh
@@ -0,0 +1,66 @@
+/* Threshold_Watcher and associated classes' implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Threshold_Watcher_inlines_hh
+#define PPL_Threshold_Watcher_inlines_hh 1
+
+#include <stdexcept>
+
+#include "Handler_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Traits>
+template <typename Flag_Base, typename Flag>
+Threshold_Watcher<Traits>
+::Threshold_Watcher(const typename Traits::Delta& delta,
+ const Flag_Base* volatile& holder,
+ Flag& flag)
+ : expired(false),
+ handler(*new
+ Implementation::Watchdog::Handler_Flag<Flag_Base, Flag>(holder,
+ flag)) {
+ typename Traits::Threshold threshold;
+ Traits::from_delta(threshold, delta);
+ if (!Traits::less_than(Traits::get(), threshold))
+ throw std::invalid_argument("Threshold_Watcher constructor called with a"
+ " threshold already reached");
+ pending_position = add_threshold(threshold, handler, expired);
+}
+
+template <typename Traits>
+inline
+Threshold_Watcher<Traits>::Threshold_Watcher(const typename Traits::Delta& delta, void (*function)())
+ : expired(false),
+ handler(*new Implementation::Watchdog::Handler_Function(function)) {
+ typename Traits::Threshold threshold;
+ Traits::from_delta(threshold, delta);
+ if (!Traits::less_than(Traits::get(), threshold))
+ throw std::invalid_argument("Threshold_Watcher constructor called with a"
+ " threshold already reached");
+ pending_position = add_threshold(threshold, handler, expired);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Threshold_Watcher_inlines_hh)
diff --git a/src/Threshold_Watcher_templates.hh b/src/Threshold_Watcher_templates.hh
new file mode 100644
index 0000000..1f3d5e3
--- /dev/null
+++ b/src/Threshold_Watcher_templates.hh
@@ -0,0 +1,72 @@
+/* Threshold_Watcher and associated classes'.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Threshold_Watcher_templates_hh
+#define PPL_Threshold_Watcher_templates_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Traits>
+typename Threshold_Watcher<Traits>::TW_Pending_List::iterator
+Threshold_Watcher<Traits>::add_threshold(typename Traits::Threshold threshold,
+ const TW_Handler& handler,
+ bool& expired_flag) {
+ Traits::check_function = Threshold_Watcher::check;
+ return init.pending.insert(threshold, handler, expired_flag);
+}
+
+template <typename Traits>
+typename Threshold_Watcher<Traits>::TW_Pending_List::iterator
+Threshold_Watcher<Traits>
+::remove_threshold(typename TW_Pending_List::iterator position) {
+ typename TW_Pending_List::iterator i = init.pending.erase(position);
+ if (init.pending.empty())
+ Traits::check_function = 0;
+ return i;
+}
+
+template <typename Traits>
+Threshold_Watcher<Traits>::~Threshold_Watcher() {
+ if (!expired)
+ remove_threshold(pending_position);
+ delete &handler;
+}
+
+template <typename Traits>
+void
+Threshold_Watcher<Traits>::check() {
+ typename TW_Pending_List::iterator i = init.pending.begin();
+ assert(i != init.pending.end());
+ const typename Traits::Threshold& current = Traits::get();
+ while (!Traits::less_than(current, i->deadline())) {
+ i->handler().act();
+ i->expired_flag() = true;
+ i = remove_threshold(i);
+ if (i == init.pending.end())
+ break;
+ }
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Threshold_Watcher_templates_hh)
diff --git a/src/Threshold_Watcher_types.hh b/src/Threshold_Watcher_types.hh
new file mode 100644
index 0000000..48dbb03
--- /dev/null
+++ b/src/Threshold_Watcher_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Threshold_Watcher_types_hh
+#define PPL_Threshold_Watcher_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Traits>
+class Threshold_Watcher;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Threshold_Watcher_types_hh)
diff --git a/src/Time.cc b/src/Time.cc
index 213df40..1bcf4c3 100644
--- a/src/Time.cc
+++ b/src/Time.cc
@@ -1,6 +1,6 @@
/* Time class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Time.defs.hh"
+#include "Time_defs.hh"
namespace PPL = Parma_Polyhedra_Library;
diff --git a/src/Time.defs.hh b/src/Time.defs.hh
deleted file mode 100644
index 8edb750..0000000
--- a/src/Time.defs.hh
+++ /dev/null
@@ -1,126 +0,0 @@
-/* Time class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Time_defs_hh
-#define PPL_Time_defs_hh 1
-
-#include "Time.types.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
-bool operator==(const Time& x, const Time& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
-bool operator!=(const Time& x, const Time& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x is shorter than \p y.
-bool operator<(const Time& x, const Time& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x is shorter than
- or equal to \p y.
-*/
-bool operator<=(const Time& x, const Time& y);
-
-//! Returns <CODE>true</CODE> if and only if \p x is longer than \p y.
-bool operator>(const Time& x, const Time& y);
-
-/*! \brief
- Returns <CODE>true</CODE> if and only if \p x is longer than
- or equal to \p y.
-*/
-bool operator>=(const Time& x, const Time& y);
-
-//! Returns the sum of \p x and \p y.
-Time operator+(const Time& x, const Time& y);
-
-/*! \brief
- Returns the difference of \p x and \p y or the null interval,
- if \p x is shorter than \p y.
-*/
-Time operator-(const Time& x, const Time& y);
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-//! A class for representing and manipulating positive time intervals.
-class Parma_Polyhedra_Library::Implementation::Watchdog::Time {
-public:
- //! Zero seconds.
- Time();
-
- //! Constructor taking a number of centiseconds.
- explicit Time(long centisecs);
-
- //! Constructor with seconds and microseconds.
- Time(long s, long m);
-
- /*! \brief
- Returns the number of whole seconds contained in the represented
- time interval.
- */
- long seconds() const;
-
- /*! \brief
- Returns the number of microseconds that, when added to the number
- of seconds returned by seconds(), give the represent time interval.
- */
- long microseconds() const;
-
- //! Adds \p y to \p *this.
- Time& operator+=(const Time& y);
-
- /*! \brief
- Subtracts \p y from \p *this; if \p *this is shorter than \p y,
- \p *this is set to the null interval.
- */
- Time& operator-=(const Time& y);
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
-private:
- //! Number of microseconds in a second.
- static const long USECS_PER_SEC = 1000000L;
-
- //! Number of centiseconds in a second.
- static const long CSECS_PER_SEC = 100L;
-
- //! Number of seconds.
- long secs;
-
- //! Number of microseconds.
- long microsecs;
-};
-
-#include "Time.inlines.hh"
-
-#endif // !defined(PPL_Time_defs_hh)
diff --git a/src/Time.inlines.hh b/src/Time.inlines.hh
deleted file mode 100644
index af4bc5b..0000000
--- a/src/Time.inlines.hh
+++ /dev/null
@@ -1,155 +0,0 @@
-/* Time class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Time_inlines_hh
-#define PPL_Time_inlines_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-inline
-Time::Time()
- : secs(0), microsecs(0) {
- assert(OK());
-}
-
-inline
-Time::Time(long centisecs)
- : secs(centisecs / CSECS_PER_SEC),
- microsecs((centisecs % CSECS_PER_SEC) * (USECS_PER_SEC/CSECS_PER_SEC)) {
- assert(OK());
-}
-
-inline
-Time::Time(long s, long m)
- : secs(s),
- microsecs(m) {
- if (microsecs >= USECS_PER_SEC) {
- secs += microsecs / USECS_PER_SEC;
- microsecs %= USECS_PER_SEC;
- }
- assert(OK());
-}
-
-inline long
-Time::seconds() const {
- return secs;
-}
-
-inline long
-Time::microseconds() const {
- return microsecs;
-}
-
-inline Time&
-Time::operator+=(const Time& y) {
- long r_secs = secs + y.secs;
- long r_microsecs = microsecs + y.microsecs;
- if (r_microsecs >= USECS_PER_SEC) {
- ++r_secs;
- r_microsecs %= USECS_PER_SEC;
- }
- secs = r_secs;
- microsecs = r_microsecs;
- assert(OK());
- return *this;
-}
-
-inline Time&
-Time::operator-=(const Time& y) {
- long r_secs = secs - y.secs;
- long r_microsecs = microsecs - y.microsecs;
- if (r_microsecs < 0) {
- --r_secs;
- r_microsecs += USECS_PER_SEC;
- }
- if (r_secs < 0) {
- r_secs = 0;
- r_microsecs = 0;
- }
- secs = r_secs;
- microsecs = r_microsecs;
- assert(OK());
- return *this;
-}
-
-inline Time
-operator+(const Time& x, const Time& y) {
- Time z = x;
- z += y;
- return z;
-}
-
-inline Time
-operator-(const Time& x, const Time& y) {
- Time z = x;
- z -= y;
- return z;
-}
-
-inline bool
-operator==(const Time& x, const Time& y) {
- assert(x.OK() && y.OK());
- return x.seconds() == y.seconds() && y.microseconds() == y.microseconds();
-}
-
-inline bool
-operator!=(const Time& x, const Time& y) {
- assert(x.OK() && y.OK());
- return !(x == y);
-}
-
-inline bool
-operator<(const Time& x, const Time& y) {
- assert(x.OK() && y.OK());
- return x.seconds() < y.seconds()
- || (x.seconds() == y.seconds() && x.microseconds() < y.microseconds());
-}
-
-inline bool
-operator<=(const Time& x, const Time& y) {
- return x < y || x == y;
-}
-
-inline bool
-operator>(const Time& x, const Time& y) {
- return y < x;
-}
-
-inline bool
-operator>=(const Time& x, const Time& y) {
- return y <= x;
-}
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Time_inlines_hh)
diff --git a/src/Time.types.hh b/src/Time.types.hh
deleted file mode 100644
index d82822e..0000000
--- a/src/Time.types.hh
+++ /dev/null
@@ -1,30 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Time_types_hh
-#define PPL_Time_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Watchdog {
-
-class Time;
-
-} // namespace Watchdog
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Time_types_hh)
diff --git a/src/Time_defs.hh b/src/Time_defs.hh
new file mode 100644
index 0000000..9aced25
--- /dev/null
+++ b/src/Time_defs.hh
@@ -0,0 +1,126 @@
+/* Time class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Time_defs_hh
+#define PPL_Time_defs_hh 1
+
+#include "Time_types.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
+bool operator==(const Time& x, const Time& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x and \p y are different.
+bool operator!=(const Time& x, const Time& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x is shorter than \p y.
+bool operator<(const Time& x, const Time& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x is shorter than
+ or equal to \p y.
+*/
+bool operator<=(const Time& x, const Time& y);
+
+//! Returns <CODE>true</CODE> if and only if \p x is longer than \p y.
+bool operator>(const Time& x, const Time& y);
+
+/*! \brief
+ Returns <CODE>true</CODE> if and only if \p x is longer than
+ or equal to \p y.
+*/
+bool operator>=(const Time& x, const Time& y);
+
+//! Returns the sum of \p x and \p y.
+Time operator+(const Time& x, const Time& y);
+
+/*! \brief
+ Returns the difference of \p x and \p y or the null interval,
+ if \p x is shorter than \p y.
+*/
+Time operator-(const Time& x, const Time& y);
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+//! A class for representing and manipulating positive time intervals.
+class Parma_Polyhedra_Library::Implementation::Watchdog::Time {
+public:
+ //! Zero seconds.
+ Time();
+
+ //! Constructor taking a number of centiseconds.
+ explicit Time(long centisecs);
+
+ //! Constructor with seconds and microseconds.
+ Time(long s, long m);
+
+ /*! \brief
+ Returns the number of whole seconds contained in the represented
+ time interval.
+ */
+ long seconds() const;
+
+ /*! \brief
+ Returns the number of microseconds that, when added to the number
+ of seconds returned by seconds(), give the represent time interval.
+ */
+ long microseconds() const;
+
+ //! Adds \p y to \p *this.
+ Time& operator+=(const Time& y);
+
+ /*! \brief
+ Subtracts \p y from \p *this; if \p *this is shorter than \p y,
+ \p *this is set to the null interval.
+ */
+ Time& operator-=(const Time& y);
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+private:
+ //! Number of microseconds in a second.
+ static const long USECS_PER_SEC = 1000000L;
+
+ //! Number of centiseconds in a second.
+ static const long CSECS_PER_SEC = 100L;
+
+ //! Number of seconds.
+ long secs;
+
+ //! Number of microseconds.
+ long microsecs;
+};
+
+#include "Time_inlines.hh"
+
+#endif // !defined(PPL_Time_defs_hh)
diff --git a/src/Time_inlines.hh b/src/Time_inlines.hh
new file mode 100644
index 0000000..2485f7c
--- /dev/null
+++ b/src/Time_inlines.hh
@@ -0,0 +1,155 @@
+/* Time class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Time_inlines_hh
+#define PPL_Time_inlines_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+inline
+Time::Time()
+ : secs(0), microsecs(0) {
+ assert(OK());
+}
+
+inline
+Time::Time(long centisecs)
+ : secs(centisecs / CSECS_PER_SEC),
+ microsecs((centisecs % CSECS_PER_SEC) * (USECS_PER_SEC/CSECS_PER_SEC)) {
+ assert(OK());
+}
+
+inline
+Time::Time(long s, long m)
+ : secs(s),
+ microsecs(m) {
+ if (microsecs >= USECS_PER_SEC) {
+ secs += microsecs / USECS_PER_SEC;
+ microsecs %= USECS_PER_SEC;
+ }
+ assert(OK());
+}
+
+inline long
+Time::seconds() const {
+ return secs;
+}
+
+inline long
+Time::microseconds() const {
+ return microsecs;
+}
+
+inline Time&
+Time::operator+=(const Time& y) {
+ long r_secs = secs + y.secs;
+ long r_microsecs = microsecs + y.microsecs;
+ if (r_microsecs >= USECS_PER_SEC) {
+ ++r_secs;
+ r_microsecs %= USECS_PER_SEC;
+ }
+ secs = r_secs;
+ microsecs = r_microsecs;
+ assert(OK());
+ return *this;
+}
+
+inline Time&
+Time::operator-=(const Time& y) {
+ long r_secs = secs - y.secs;
+ long r_microsecs = microsecs - y.microsecs;
+ if (r_microsecs < 0) {
+ --r_secs;
+ r_microsecs += USECS_PER_SEC;
+ }
+ if (r_secs < 0) {
+ r_secs = 0;
+ r_microsecs = 0;
+ }
+ secs = r_secs;
+ microsecs = r_microsecs;
+ assert(OK());
+ return *this;
+}
+
+inline Time
+operator+(const Time& x, const Time& y) {
+ Time z = x;
+ z += y;
+ return z;
+}
+
+inline Time
+operator-(const Time& x, const Time& y) {
+ Time z = x;
+ z -= y;
+ return z;
+}
+
+inline bool
+operator==(const Time& x, const Time& y) {
+ assert(x.OK() && y.OK());
+ return x.seconds() == y.seconds() && y.microseconds() == y.microseconds();
+}
+
+inline bool
+operator!=(const Time& x, const Time& y) {
+ assert(x.OK() && y.OK());
+ return !(x == y);
+}
+
+inline bool
+operator<(const Time& x, const Time& y) {
+ assert(x.OK() && y.OK());
+ return x.seconds() < y.seconds()
+ || (x.seconds() == y.seconds() && x.microseconds() < y.microseconds());
+}
+
+inline bool
+operator<=(const Time& x, const Time& y) {
+ return x < y || x == y;
+}
+
+inline bool
+operator>(const Time& x, const Time& y) {
+ return y < x;
+}
+
+inline bool
+operator>=(const Time& x, const Time& y) {
+ return y <= x;
+}
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Time_inlines_hh)
diff --git a/src/Time_types.hh b/src/Time_types.hh
new file mode 100644
index 0000000..1551ebc
--- /dev/null
+++ b/src/Time_types.hh
@@ -0,0 +1,30 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Time_types_hh
+#define PPL_Time_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Watchdog {
+
+class Time;
+
+} // namespace Watchdog
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Time_types_hh)
diff --git a/src/Topology.types.hh b/src/Topology.types.hh
deleted file mode 100644
index ad0da84..0000000
--- a/src/Topology.types.hh
+++ /dev/null
@@ -1,29 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Topology_types_hh
-#define PPL_Topology_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Kinds of polyhedra domains.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-enum Topology {
- NECESSARILY_CLOSED = 0,
- NOT_NECESSARILY_CLOSED = 1
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Topology_types_hh)
diff --git a/src/Topology_types.hh b/src/Topology_types.hh
new file mode 100644
index 0000000..7a60cc1
--- /dev/null
+++ b/src/Topology_types.hh
@@ -0,0 +1,29 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Topology_types_hh
+#define PPL_Topology_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Kinds of polyhedra domains.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+enum Topology {
+ NECESSARILY_CLOSED = 0,
+ NOT_NECESSARILY_CLOSED = 1
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Topology_types_hh)
diff --git a/src/Variable.cc b/src/Variable.cc
index 71e0657..44bf1bb 100644
--- a/src/Variable.cc
+++ b/src/Variable.cc
@@ -1,6 +1,6 @@
/* Variable class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Variable.defs.hh"
+#include "Variable_defs.hh"
#include <iostream>
namespace PPL = Parma_Polyhedra_Library;
@@ -37,11 +37,11 @@ PPL::Variable::OK() const {
void
PPL::Variable::default_output_function(std::ostream& s, const Variable v) {
- dimension_type varid = v.id();
+ const dimension_type varid = v.id();
static const char var_name_letters[] = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const dimension_type num_letters = sizeof(var_name_letters) - 1;
s << var_name_letters[varid % num_letters];
- if (dimension_type i = varid / num_letters)
+ if (const dimension_type i = varid / num_letters)
s << i;
}
diff --git a/src/Variable.defs.hh b/src/Variable.defs.hh
deleted file mode 100644
index 961415f..0000000
--- a/src/Variable.defs.hh
+++ /dev/null
@@ -1,156 +0,0 @@
-/* Variable class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Variable_defs_hh
-#define PPL_Variable_defs_hh 1
-
-#include "Variable.types.hh"
-#include "Init.types.hh"
-#include "globals.types.hh"
-#include <iosfwd>
-#include <set>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Variable */
-std::ostream&
-operator<<(std::ostream& s, const Variable v);
-
-} // namespace IO_Operators
-
-//! Defines a total ordering on variables.
-/*! \relates Variable */
-bool less(Variable v, Variable w);
-
-/*! \relates Variable */
-void
-swap(Variable& x, Variable& y);
-
-} // namespace Parma_Polyhedra_Library
-
-//! A dimension of the vector space.
-/*! \ingroup PPL_CXX_interface
- An object of the class Variable represents a dimension of the space,
- that is one of the Cartesian axes.
- Variables are used as basic blocks in order to build
- more complex linear expressions.
- Each variable is identified by a non-negative integer,
- representing the index of the corresponding Cartesian axis
- (the first axis has index 0).
- The space dimension of a variable is the dimension of the vector space
- made by all the Cartesian axes having an index less than or equal to
- that of the considered variable; thus, if a variable has index \f$i\f$,
- its space dimension is \f$i+1\f$.
-
- Note that the ``meaning'' of an object of the class Variable
- is completely specified by the integer index provided to its
- constructor:
- be careful not to be mislead by C++ language variable names.
- For instance, in the following example the linear expressions
- <CODE>e1</CODE> and <CODE>e2</CODE> are equivalent,
- since the two variables <CODE>x</CODE> and <CODE>z</CODE> denote
- the same Cartesian axis.
- \code
- Variable x(0);
- Variable y(1);
- Variable z(0);
- Linear_Expression e1 = x + y;
- Linear_Expression e2 = y + z;
- \endcode
-
-*/
-class Parma_Polyhedra_Library::Variable {
-
-public:
- //! Builds the variable corresponding to the Cartesian axis of index \p i.
- /*!
- \exception std::length_error
- Thrown if <CODE>i+1</CODE> exceeds
- <CODE>Variable::max_space_dimension()</CODE>.
- */
- explicit Variable(dimension_type i);
-
- //! Returns the index of the Cartesian axis associated to the variable.
- dimension_type id() const;
-
- //! Returns the maximum space dimension a Variable can handle.
- static dimension_type max_space_dimension();
-
- //! Returns the dimension of the vector space enclosing \p *this.
- /*!
- The returned value is <CODE>id()+1</CODE>.
- */
- dimension_type space_dimension() const;
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- //! Type of output functions.
- typedef void output_function_type(std::ostream& s, const Variable v);
-
- //! Sets the output function to be used for printing Variable objects.
- static void set_output_function(output_function_type* p);
-
- //! Returns the pointer to the current output function.
- static output_function_type* get_output_function();
-
- //! Binary predicate defining the total ordering on variables.
- /*! \ingroup PPL_CXX_interface */
- struct Compare {
- //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
- bool operator()(Variable x, Variable y) const;
- };
-
- //! Swaps *this and v.
- void m_swap(Variable& v);
-
-private:
- //! The index of the Cartesian axis.
- dimension_type varid;
-
- // The initialization class needs to set the default output function.
- friend class Init;
-
- friend std::ostream&
- Parma_Polyhedra_Library::IO_Operators::operator<<(std::ostream& s,
- const Variable v);
-
- //! Pointer to the current output function.
- static output_function_type* current_output_function;
-
- //! The default output function.
- static void default_output_function(std::ostream& s, const Variable v);
-};
-
-#include "Variable.inlines.hh"
-
-#endif // !defined(PPL_Variable_defs_hh)
diff --git a/src/Variable.inlines.hh b/src/Variable.inlines.hh
deleted file mode 100644
index f428292..0000000
--- a/src/Variable.inlines.hh
+++ /dev/null
@@ -1,100 +0,0 @@
-/* Variable class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Variable_inlines_hh
-#define PPL_Variable_inlines_hh 1
-
-#include "globals.defs.hh"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-inline dimension_type
-Variable::max_space_dimension() {
- return not_a_dimension() - 1;
-}
-
-inline
-Variable::Variable(dimension_type i)
- : varid((i < max_space_dimension())
- ? i
- : (throw std::length_error("PPL::Variable::Variable(i):\n"
- "i exceeds the maximum allowed "
- "variable identifier."), i)) {
-}
-
-inline dimension_type
-Variable::id() const {
- return varid;
-}
-
-inline dimension_type
-Variable::space_dimension() const {
- return varid + 1;
-}
-
-inline memory_size_type
-Variable::external_memory_in_bytes() const {
- return 0;
-}
-
-inline memory_size_type
-Variable::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-inline void
-Variable::set_output_function(output_function_type* p) {
- current_output_function = p;
-}
-
-inline Variable::output_function_type*
-Variable::get_output_function() {
- return current_output_function;
-}
-
-/*! \relates Variable */
-inline bool
-less(const Variable v, const Variable w) {
- return v.id() < w.id();
-}
-
-inline bool
-Variable::Compare::operator()(const Variable x, const Variable y) const {
- return less(x, y);
-}
-
-inline void
-Variable::m_swap(Variable& v) {
- using std::swap;
- swap(varid, v.varid);
-}
-
-inline void
-swap(Variable& x, Variable& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Variable_inlines_hh)
diff --git a/src/Variable.types.hh b/src/Variable.types.hh
deleted file mode 100644
index 789b1ec..0000000
--- a/src/Variable.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Variable_types_hh
-#define PPL_Variable_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Variable;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Variable_types_hh)
diff --git a/src/Variable_Floating_Point_Expression.defs.hh b/src/Variable_Floating_Point_Expression.defs.hh
deleted file mode 100644
index 9c7c8d1..0000000
--- a/src/Variable_Floating_Point_Expression.defs.hh
+++ /dev/null
@@ -1,187 +0,0 @@
-/* Declarations for the Variable_Floating_Point_Expression class and
- its constituents.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Variable_Floating_Point_Expression_defs_hh
-#define PPL_Variable_Floating_Point_Expression_defs_hh 1
-
-#include "Floating_Point_Expression.defs.hh"
-#include "globals.defs.hh"
-#include "Variable_Floating_Point_Expression.types.hh"
-#include <map>
-#include <utility>
-
-namespace Parma_Polyhedra_Library {
-
-//! Swaps \p x with \p y.
-/*! \relates Variable_Floating_Point_Expression */
-template<typename FP_Interval_Type, typename FP_Format>
-void swap(Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
-
-/*! \brief
- A generic Variable Floating Point Expression.
-
- \ingroup PPL_CXX_interface
-
- \par Template type parameters
-
- - The class template type parameter \p FP_Interval_Type represents the type
- of the intervals used in the abstract domain.
- - The class template type parameter \p FP_Format represents the floating
- point format used in the concrete domain.
-
- \par Linearization of floating-point variable expressions
-
- Given a variable expression \f$v\f$ and a composite
- abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
- \rrbracket\f$, we construct the interval
- linear form \f$\linexprenv{v}{\rho^{\#}}{\rho^{\#}_l}\f$ as
- \f$\rho^{\#}_l(v)\f$ if it is defined; otherwise we construct it as
- \f$[-1, 1]v\f$.
-*/
-template <typename FP_Interval_Type, typename FP_Format>
-class Variable_Floating_Point_Expression
-: public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
-
-public:
-
- /*! \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form FP_Linear_Form;
-
- /*! \brief
- Alias for the Box<FP_Interval_Type> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
-
- /*! \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::
- FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
-
- /*! \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
- boundary_type;
-
- /*! \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
- */
- typedef typename
- Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
-
- //! \name Constructors and Destructor
- //@{
- /*! \brief
- Constructor with a parameter: builds the variable floating point
- expression corresponding to the variable having \p v_index as its index.
- */
- explicit Variable_Floating_Point_Expression(const dimension_type v_index);
-
- //! Destructor.
- ~Variable_Floating_Point_Expression();
-
- //@} // Constructors and Destructor
-
- /*! \brief
- Linearizes the expression in a given abstract store.
-
- Makes \p result become the linearization of \p *this in the given
- composite abstract store.
-
- \param int_store The interval abstract store.
- \param lf_store The linear form abstract store.
- \param result The modified linear form.
-
- \return <CODE>true</CODE> if the linearization succeeded,
- <CODE>false</CODE> otherwise.
-
- Note that the variable in the expression MUST have an associated value
- in \p int_store. If this precondition is not met, calling the method
- causes an undefined behavior.
-
- See the class description for a detailed explanation of how \p result is
- computed.
- */
- bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const;
-
- /*! \brief
- Assigns a linear form to the variable with the same index of
- \p *this in a given linear form abstract store.
-
- \param lf The linear form assigned to the variable.
- \param lf_store The linear form abstract store.
-
- Note that once \p lf is assigned to a variable, all the other entries
- of \p lf_store which contain that variable are discarded.
- */
- void linear_form_assign(const FP_Linear_Form& lf,
- FP_Linear_Form_Abstract_Store& lf_store) const;
-
- //! Swaps \p *this with \p y.
- void m_swap(Variable_Floating_Point_Expression& y);
-
-private:
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited copy constructor.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Variable_Floating_Point_Expression(
- const Variable_Floating_Point_Expression& y);
-
- #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief
- Inhibited assignment operator.
- */
- #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- Variable_Floating_Point_Expression& operator=(
- const Variable_Floating_Point_Expression& y);
-
- //! The index of the variable.
- dimension_type variable_index;
-
-}; // class Variable_Floating_Point_Expression
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Variable_Floating_Point_Expression.inlines.hh"
-
-#endif // !defined(PPL_Variable_Floating_Point_Expression_defs_hh)
diff --git a/src/Variable_Floating_Point_Expression.inlines.hh b/src/Variable_Floating_Point_Expression.inlines.hh
deleted file mode 100644
index 51ad6f5..0000000
--- a/src/Variable_Floating_Point_Expression.inlines.hh
+++ /dev/null
@@ -1,94 +0,0 @@
-/* Variable_Floating_Point_Expression class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Variable_Floating_Point_Expression_inlines_hh
-#define PPL_Variable_Floating_Point_Expression_inlines_hh 1
-
-#include "globals.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-Variable_Floating_Point_Expression(const dimension_type v_index)
- : variable_index(v_index) {}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline
-Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
-~Variable_Floating_Point_Expression() {}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::m_swap(Variable_Floating_Point_Expression& y) {
- using std::swap;
- swap(variable_index, y.variable_index);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline bool
-Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linearize(const FP_Interval_Abstract_Store&,
- const FP_Linear_Form_Abstract_Store& lf_store,
- FP_Linear_Form& result) const {
- typename FP_Linear_Form_Abstract_Store::const_iterator
- variable_value = lf_store.find(variable_index);
-
- if (variable_value == lf_store.end()) {
- result = FP_Linear_Form(Variable(variable_index));
- return true;
- }
-
- result = FP_Linear_Form(variable_value->second);
- return !this->overflows(result);
-}
-
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>
-::linear_form_assign(const FP_Linear_Form& lf,
- FP_Linear_Form_Abstract_Store& lf_store) const {
- for (typename FP_Linear_Form_Abstract_Store::iterator
- i = lf_store.begin(); i != lf_store.end(); ) {
- if ((i->second).coefficient(Variable(variable_index)) != 0)
- i = lf_store.erase(i);
- else
- ++i;
- }
- lf_store[variable_index] = lf;
- return;
-}
-
-/*! \relates Variable_Floating_Point_Expression */
-template <typename FP_Interval_Type, typename FP_Format>
-inline void
-swap(Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
- x.m_swap(y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Variable_Floating_Point_Expression_inlines_hh)
diff --git a/src/Variable_Floating_Point_Expression.types.hh b/src/Variable_Floating_Point_Expression.types.hh
deleted file mode 100644
index 6ac12aa..0000000
--- a/src/Variable_Floating_Point_Expression.types.hh
+++ /dev/null
@@ -1,23 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Variable_Floating_Point_Expression_types_hh
-#define PPL_Variable_Floating_Point_Expression_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename FP_Interval_Type, typename FP_Format>
-class Variable_Floating_Point_Expression;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Variable_Floating_Point_Expression_types_hh)
diff --git a/src/Variable_Floating_Point_Expression_defs.hh b/src/Variable_Floating_Point_Expression_defs.hh
new file mode 100644
index 0000000..81dde48
--- /dev/null
+++ b/src/Variable_Floating_Point_Expression_defs.hh
@@ -0,0 +1,187 @@
+/* Declarations for the Variable_Floating_Point_Expression class and
+ its constituents.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Variable_Floating_Point_Expression_defs_hh
+#define PPL_Variable_Floating_Point_Expression_defs_hh 1
+
+#include "Floating_Point_Expression_defs.hh"
+#include "globals_defs.hh"
+#include "Variable_Floating_Point_Expression_types.hh"
+#include <map>
+#include <utility>
+
+namespace Parma_Polyhedra_Library {
+
+//! Swaps \p x with \p y.
+/*! \relates Variable_Floating_Point_Expression */
+template<typename FP_Interval_Type, typename FP_Format>
+void swap(Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+
+/*! \brief
+ A generic Variable Floating Point Expression.
+
+ \ingroup PPL_CXX_interface
+
+ \par Template type parameters
+
+ - The class template type parameter \p FP_Interval_Type represents the type
+ of the intervals used in the abstract domain.
+ - The class template type parameter \p FP_Format represents the floating
+ point format used in the concrete domain.
+
+ \par Linearization of floating-point variable expressions
+
+ Given a variable expression \f$v\f$ and a composite
+ abstract store \f$\left \llbracket \rho^{\#}, \rho^{\#}_l \right
+ \rrbracket\f$, we construct the interval
+ linear form \f$\linexprenv{v}{\rho^{\#}}{\rho^{\#}_l}\f$ as
+ \f$\rho^{\#}_l(v)\f$ if it is defined; otherwise we construct it as
+ \f$[-1, 1]v\f$.
+*/
+template <typename FP_Interval_Type, typename FP_Format>
+class Variable_Floating_Point_Expression
+: public Floating_Point_Expression<FP_Interval_Type, FP_Format> {
+
+public:
+
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form FP_Linear_Form;
+
+ /*! \brief
+ Alias for the Box<FP_Interval_Type> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
+
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+ FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
+ boundary_type;
+
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ */
+ typedef typename
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
+
+ //! \name Constructors and Destructor
+ //@{
+ /*! \brief
+ Constructor with a parameter: builds the variable floating point
+ expression corresponding to the variable having \p v_index as its index.
+ */
+ explicit Variable_Floating_Point_Expression(const dimension_type v_index);
+
+ //! Destructor.
+ ~Variable_Floating_Point_Expression();
+
+ //@} // Constructors and Destructor
+
+ /*! \brief
+ Linearizes the expression in a given abstract store.
+
+ Makes \p result become the linearization of \p *this in the given
+ composite abstract store.
+
+ \param int_store The interval abstract store.
+ \param lf_store The linear form abstract store.
+ \param result The modified linear form.
+
+ \return <CODE>true</CODE> if the linearization succeeded,
+ <CODE>false</CODE> otherwise.
+
+ Note that the variable in the expression MUST have an associated value
+ in \p int_store. If this precondition is not met, calling the method
+ causes an undefined behavior.
+
+ See the class description for a detailed explanation of how \p result is
+ computed.
+ */
+ bool linearize(const FP_Interval_Abstract_Store& int_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const;
+
+ /*! \brief
+ Assigns a linear form to the variable with the same index of
+ \p *this in a given linear form abstract store.
+
+ \param lf The linear form assigned to the variable.
+ \param lf_store The linear form abstract store.
+
+ Note that once \p lf is assigned to a variable, all the other entries
+ of \p lf_store which contain that variable are discarded.
+ */
+ void linear_form_assign(const FP_Linear_Form& lf,
+ FP_Linear_Form_Abstract_Store& lf_store) const;
+
+ //! Swaps \p *this with \p y.
+ void m_swap(Variable_Floating_Point_Expression& y);
+
+private:
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited copy constructor.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Variable_Floating_Point_Expression(
+ const Variable_Floating_Point_Expression& y);
+
+ #ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief
+ Inhibited assignment operator.
+ */
+ #endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ Variable_Floating_Point_Expression& operator=(
+ const Variable_Floating_Point_Expression& y);
+
+ //! The index of the variable.
+ dimension_type variable_index;
+
+}; // class Variable_Floating_Point_Expression
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Variable_Floating_Point_Expression_inlines.hh"
+
+#endif // !defined(PPL_Variable_Floating_Point_Expression_defs_hh)
diff --git a/src/Variable_Floating_Point_Expression_inlines.hh b/src/Variable_Floating_Point_Expression_inlines.hh
new file mode 100644
index 0000000..397ef57
--- /dev/null
+++ b/src/Variable_Floating_Point_Expression_inlines.hh
@@ -0,0 +1,94 @@
+/* Variable_Floating_Point_Expression class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Variable_Floating_Point_Expression_inlines_hh
+#define PPL_Variable_Floating_Point_Expression_inlines_hh 1
+
+#include "globals_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+Variable_Floating_Point_Expression(const dimension_type v_index)
+ : variable_index(v_index) {}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline
+Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>::
+~Variable_Floating_Point_Expression() {}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::m_swap(Variable_Floating_Point_Expression& y) {
+ using std::swap;
+ swap(variable_index, y.variable_index);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline bool
+Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linearize(const FP_Interval_Abstract_Store&,
+ const FP_Linear_Form_Abstract_Store& lf_store,
+ FP_Linear_Form& result) const {
+ typename FP_Linear_Form_Abstract_Store::const_iterator
+ variable_value = lf_store.find(variable_index);
+
+ if (variable_value == lf_store.end()) {
+ result = FP_Linear_Form(Variable(variable_index));
+ return true;
+ }
+
+ result = FP_Linear_Form(variable_value->second);
+ return !this->overflows(result);
+}
+
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>
+::linear_form_assign(const FP_Linear_Form& lf,
+ FP_Linear_Form_Abstract_Store& lf_store) const {
+ for (typename FP_Linear_Form_Abstract_Store::iterator
+ i = lf_store.begin(); i != lf_store.end(); ) {
+ if ((i->second).coefficient(Variable(variable_index)) != 0)
+ i = lf_store.erase(i);
+ else
+ ++i;
+ }
+ lf_store[variable_index] = lf;
+ return;
+}
+
+/*! \relates Variable_Floating_Point_Expression */
+template <typename FP_Interval_Type, typename FP_Format>
+inline void
+swap(Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
+ Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Variable_Floating_Point_Expression_inlines_hh)
diff --git a/src/Variable_Floating_Point_Expression_types.hh b/src/Variable_Floating_Point_Expression_types.hh
new file mode 100644
index 0000000..3c9999e
--- /dev/null
+++ b/src/Variable_Floating_Point_Expression_types.hh
@@ -0,0 +1,23 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Variable_Floating_Point_Expression_types_hh
+#define PPL_Variable_Floating_Point_Expression_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename FP_Interval_Type, typename FP_Format>
+class Variable_Floating_Point_Expression;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Variable_Floating_Point_Expression_types_hh)
diff --git a/src/Variable_defs.hh b/src/Variable_defs.hh
new file mode 100644
index 0000000..a384dcc
--- /dev/null
+++ b/src/Variable_defs.hh
@@ -0,0 +1,157 @@
+/* Variable class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Variable_defs_hh
+#define PPL_Variable_defs_hh 1
+
+#include "Variable_types.hh"
+#include "Init_types.hh"
+#include "globals_types.hh"
+#include <iosfwd>
+#include <set>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Variable */
+std::ostream&
+operator<<(std::ostream& s, const Variable v);
+
+} // namespace IO_Operators
+
+//! Defines a total ordering on variables.
+/*! \relates Variable */
+bool less(Variable v, Variable w);
+
+/*! \relates Variable */
+void
+swap(Variable& x, Variable& y);
+
+} // namespace Parma_Polyhedra_Library
+
+//! A dimension of the vector space.
+/*! \ingroup PPL_CXX_interface
+ An object of the class Variable represents a dimension of the space,
+ that is one of the Cartesian axes.
+ Variables are used as basic blocks in order to build
+ more complex linear expressions.
+ Each variable is identified by a non-negative integer,
+ representing the index of the corresponding Cartesian axis
+ (the first axis has index 0).
+ The space dimension of a variable is the dimension of the vector space
+ made by all the Cartesian axes having an index less than or equal to
+ that of the considered variable; thus, if a variable has index \f$i\f$,
+ its space dimension is \f$i+1\f$.
+
+ Note that the ``meaning'' of an object of the class Variable
+ is completely specified by the integer index provided to its
+ constructor:
+ be careful not to be mislead by C++ language variable names.
+ For instance, in the following example the linear expressions
+ <CODE>e1</CODE> and <CODE>e2</CODE> are equivalent,
+ since the two variables <CODE>x</CODE> and <CODE>z</CODE> denote
+ the same Cartesian axis.
+ \code
+ Variable x(0);
+ Variable y(1);
+ Variable z(0);
+ Linear_Expression e1 = x + y;
+ Linear_Expression e2 = y + z;
+ \endcode
+
+*/
+class Parma_Polyhedra_Library::Variable {
+
+public:
+ //! Builds the variable corresponding to the Cartesian axis of index \p i.
+ /*!
+ \exception std::length_error
+ Thrown if <CODE>i+1</CODE> exceeds
+ <CODE>Variable::max_space_dimension()</CODE>.
+ */
+ explicit Variable(dimension_type i);
+
+ //! Returns the index of the Cartesian axis associated to the variable.
+ dimension_type id() const;
+
+ //! Returns the maximum space dimension a Variable can handle.
+ static dimension_type max_space_dimension();
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ /*!
+ The returned value is <CODE>id()+1</CODE>.
+ */
+ dimension_type space_dimension() const;
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ //! Type of output functions.
+ typedef void output_function_type(std::ostream& s, const Variable v);
+
+ //! The default output function.
+ static void default_output_function(std::ostream& s, const Variable v);
+
+ //! Sets the output function to be used for printing Variable objects.
+ static void set_output_function(output_function_type* p);
+
+ //! Returns the pointer to the current output function.
+ static output_function_type* get_output_function();
+
+ //! Binary predicate defining the total ordering on variables.
+ /*! \ingroup PPL_CXX_interface */
+ struct Compare {
+ //! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
+ bool operator()(Variable x, Variable y) const;
+ };
+
+ //! Swaps *this and v.
+ void m_swap(Variable& v);
+
+private:
+ //! The index of the Cartesian axis.
+ dimension_type varid;
+
+ // The initialization class needs to set the default output function.
+ friend class Init;
+
+ friend std::ostream&
+ Parma_Polyhedra_Library::IO_Operators::operator<<(std::ostream& s,
+ const Variable v);
+
+ //! Pointer to the current output function.
+ static output_function_type* current_output_function;
+
+};
+
+#include "Variable_inlines.hh"
+
+#endif // !defined(PPL_Variable_defs_hh)
diff --git a/src/Variable_inlines.hh b/src/Variable_inlines.hh
new file mode 100644
index 0000000..03d8908
--- /dev/null
+++ b/src/Variable_inlines.hh
@@ -0,0 +1,100 @@
+/* Variable class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Variable_inlines_hh
+#define PPL_Variable_inlines_hh 1
+
+#include "globals_defs.hh"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+inline dimension_type
+Variable::max_space_dimension() {
+ return not_a_dimension() - 1;
+}
+
+inline
+Variable::Variable(dimension_type i)
+ : varid((i < max_space_dimension())
+ ? i
+ : (throw std::length_error("PPL::Variable::Variable(i):\n"
+ "i exceeds the maximum allowed "
+ "variable identifier."), i)) {
+}
+
+inline dimension_type
+Variable::id() const {
+ return varid;
+}
+
+inline dimension_type
+Variable::space_dimension() const {
+ return varid + 1;
+}
+
+inline memory_size_type
+Variable::external_memory_in_bytes() const {
+ return 0;
+}
+
+inline memory_size_type
+Variable::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+inline void
+Variable::set_output_function(output_function_type* p) {
+ current_output_function = p;
+}
+
+inline Variable::output_function_type*
+Variable::get_output_function() {
+ return current_output_function;
+}
+
+/*! \relates Variable */
+inline bool
+less(const Variable v, const Variable w) {
+ return v.id() < w.id();
+}
+
+inline bool
+Variable::Compare::operator()(const Variable x, const Variable y) const {
+ return less(x, y);
+}
+
+inline void
+Variable::m_swap(Variable& v) {
+ using std::swap;
+ swap(varid, v.varid);
+}
+
+inline void
+swap(Variable& x, Variable& y) {
+ x.m_swap(y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Variable_inlines_hh)
diff --git a/src/Variable_types.hh b/src/Variable_types.hh
new file mode 100644
index 0000000..df20b90
--- /dev/null
+++ b/src/Variable_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Variable_types_hh
+#define PPL_Variable_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Variable;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Variable_types_hh)
diff --git a/src/Variables_Set.cc b/src/Variables_Set.cc
index e200d34..bea50bd 100644
--- a/src/Variables_Set.cc
+++ b/src/Variables_Set.cc
@@ -1,6 +1,6 @@
/* Variables_Set class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Variables_Set.defs.hh"
+#include "Variables_Set_defs.hh"
#include <iostream>
namespace PPL = Parma_Polyhedra_Library;
@@ -46,7 +46,7 @@ std::ostream&
PPL::IO_Operators::operator<<(std::ostream& s, const Variables_Set& vs) {
s << '{';
for (Variables_Set::const_iterator i = vs.begin(),
- vs_end = vs.end(); i != vs_end; ) {
+ vs_end = vs.end(); i != vs_end; ) {
s << ' ' << Variable(*i);
++i;
if (i != vs_end)
@@ -58,10 +58,10 @@ PPL::IO_Operators::operator<<(std::ostream& s, const Variables_Set& vs) {
void
PPL::Variables_Set::ascii_dump(std::ostream& s) const {
- dimension_type variables_set_size = size();
+ const dimension_type variables_set_size = size();
s << "\nvariables( " << variables_set_size << " )\n";
for (Variables_Set::const_iterator i = begin(),
- i_end = end(); i != i_end; ++i)
+ i_end = end(); i != i_end; ++i)
s << *i << " ";
}
diff --git a/src/Variables_Set.defs.hh b/src/Variables_Set.defs.hh
deleted file mode 100644
index 3b9b1b2..0000000
--- a/src/Variables_Set.defs.hh
+++ /dev/null
@@ -1,107 +0,0 @@
-/* Variables_Set class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Variables_Set_defs_hh
-#define PPL_Variables_Set_defs_hh 1
-
-#include "Variables_Set.types.hh"
-#include "Variable.defs.hh"
-#include "globals.types.hh"
-#include <iosfwd>
-#include <set>
-
-namespace Parma_Polyhedra_Library {
-
-namespace IO_Operators {
-
-//! Output operator.
-/*! \relates Parma_Polyhedra_Library::Variables_Set */
-std::ostream&
-operator<<(std::ostream& s, const Variables_Set& vs);
-
-} // namespace IO_Operators
-
-} // namespace Parma_Polyhedra_Library
-
-//! An std::set of variables' indexes.
-class Parma_Polyhedra_Library::Variables_Set
- : public std::set<dimension_type> {
-private:
- typedef std::set<dimension_type> Base;
-
-public:
- //! Builds the empty set of variable indexes.
- Variables_Set();
-
- //! Builds the singleton set of indexes containing <CODE>v.id()</CODE>;
- explicit Variables_Set(const Variable v);
-
- /*! \brief
- Builds the set of variables's indexes in the range from
- <CODE>v.id()</CODE> to <CODE>w.id()</CODE>.
-
- If <CODE>v.id() <= w.id()</CODE>, this constructor builds the
- set of variables' indexes
- <CODE>v.id()</CODE>, <CODE>v.id()+1</CODE>, ..., <CODE>w.id()</CODE>.
- The empty set is built otherwise.
- */
- Variables_Set(const Variable v, const Variable w);
-
- //! Returns the maximum space dimension a Variables_Set can handle.
- static dimension_type max_space_dimension();
-
- /*! \brief
- Returns the dimension of the smallest vector space enclosing all
- the variables whose indexes are in the set.
- */
- dimension_type space_dimension() const;
-
- //! Inserts the index of variable \p v into the set.
- void insert(Variable v);
-
- // The `insert' method above overloads (instead of hiding) the
- // other `insert' method of std::set.
- using Base::insert;
-
- /*! \brief
- Loads from \p s an ASCII representation (as produced by
- ascii_dump(std::ostream&) const) and sets \p *this accordingly.
- Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
- */
- bool ascii_load(std::istream& s);
-
- //! Returns the total size in bytes of the memory occupied by \p *this.
- memory_size_type total_memory_in_bytes() const;
-
- //! Returns the size in bytes of the memory managed by \p *this.
- memory_size_type external_memory_in_bytes() const;
-
- //! Checks if all the invariants are satisfied.
- bool OK() const;
-
- PPL_OUTPUT_DECLARATIONS
-};
-
-#include "Variables_Set.inlines.hh"
-
-#endif // !defined(PPL_Variables_Set_defs_hh)
diff --git a/src/Variables_Set.inlines.hh b/src/Variables_Set.inlines.hh
deleted file mode 100644
index 7fe4b30..0000000
--- a/src/Variables_Set.inlines.hh
+++ /dev/null
@@ -1,75 +0,0 @@
-/* Variables_Set class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Variables_Set_inlines_hh
-#define PPL_Variables_Set_inlines_hh 1
-
-#include "globals.defs.hh"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Variables_Set::Variables_Set()
- : Base() {
-}
-
-inline void
-Variables_Set::insert(const Variable v) {
- insert(v.id());
-}
-
-inline
-Variables_Set::Variables_Set(const Variable v)
- : Base() {
- insert(v);
-}
-
-inline dimension_type
-Variables_Set::max_space_dimension() {
- return Variable::max_space_dimension();
-}
-
-inline dimension_type
-Variables_Set::space_dimension() const {
- reverse_iterator i = rbegin();
- return (i == rend()) ? 0 : (*i + 1);
-}
-
-inline memory_size_type
-Variables_Set::external_memory_in_bytes() const {
- // We assume sets are implemented by means of red-black trees that
- // require to store the color (we assume an enum) and three pointers
- // to the parent, left and right child, respectively.
- enum color { red, black };
- return size() * (sizeof(color) + 3*sizeof(void*) + sizeof(dimension_type));
-}
-
-inline memory_size_type
-Variables_Set::total_memory_in_bytes() const {
- return sizeof(*this) + external_memory_in_bytes();
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Variables_Set_inlines_hh)
diff --git a/src/Variables_Set.types.hh b/src/Variables_Set.types.hh
deleted file mode 100644
index c8561ad..0000000
--- a/src/Variables_Set.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Variables_Set_types_hh
-#define PPL_Variables_Set_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Variables_Set;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Variables_Set_types_hh)
diff --git a/src/Variables_Set_defs.hh b/src/Variables_Set_defs.hh
new file mode 100644
index 0000000..a4af8c9
--- /dev/null
+++ b/src/Variables_Set_defs.hh
@@ -0,0 +1,107 @@
+/* Variables_Set class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Variables_Set_defs_hh
+#define PPL_Variables_Set_defs_hh 1
+
+#include "Variables_Set_types.hh"
+#include "Variable_defs.hh"
+#include "globals_types.hh"
+#include <iosfwd>
+#include <set>
+
+namespace Parma_Polyhedra_Library {
+
+namespace IO_Operators {
+
+//! Output operator.
+/*! \relates Parma_Polyhedra_Library::Variables_Set */
+std::ostream&
+operator<<(std::ostream& s, const Variables_Set& vs);
+
+} // namespace IO_Operators
+
+} // namespace Parma_Polyhedra_Library
+
+//! An std::set of variables' indexes.
+class Parma_Polyhedra_Library::Variables_Set
+ : public std::set<dimension_type> {
+private:
+ typedef std::set<dimension_type> Base;
+
+public:
+ //! Builds the empty set of variable indexes.
+ Variables_Set();
+
+ //! Builds the singleton set of indexes containing <CODE>v.id()</CODE>;
+ explicit Variables_Set(const Variable v);
+
+ /*! \brief
+ Builds the set of variables's indexes in the range from
+ <CODE>v.id()</CODE> to <CODE>w.id()</CODE>.
+
+ If <CODE>v.id() <= w.id()</CODE>, this constructor builds the
+ set of variables' indexes
+ <CODE>v.id()</CODE>, <CODE>v.id()+1</CODE>, ..., <CODE>w.id()</CODE>.
+ The empty set is built otherwise.
+ */
+ Variables_Set(const Variable v, const Variable w);
+
+ //! Returns the maximum space dimension a Variables_Set can handle.
+ static dimension_type max_space_dimension();
+
+ /*! \brief
+ Returns the dimension of the smallest vector space enclosing all
+ the variables whose indexes are in the set.
+ */
+ dimension_type space_dimension() const;
+
+ //! Inserts the index of variable \p v into the set.
+ void insert(Variable v);
+
+ // The `insert' method above overloads (instead of hiding) the
+ // other `insert' method of std::set.
+ using Base::insert;
+
+ /*! \brief
+ Loads from \p s an ASCII representation (as produced by
+ ascii_dump(std::ostream&) const) and sets \p *this accordingly.
+ Returns <CODE>true</CODE> if successful, <CODE>false</CODE> otherwise.
+ */
+ bool ascii_load(std::istream& s);
+
+ //! Returns the total size in bytes of the memory occupied by \p *this.
+ memory_size_type total_memory_in_bytes() const;
+
+ //! Returns the size in bytes of the memory managed by \p *this.
+ memory_size_type external_memory_in_bytes() const;
+
+ //! Checks if all the invariants are satisfied.
+ bool OK() const;
+
+ PPL_OUTPUT_DECLARATIONS
+};
+
+#include "Variables_Set_inlines.hh"
+
+#endif // !defined(PPL_Variables_Set_defs_hh)
diff --git a/src/Variables_Set_inlines.hh b/src/Variables_Set_inlines.hh
new file mode 100644
index 0000000..0f1c467
--- /dev/null
+++ b/src/Variables_Set_inlines.hh
@@ -0,0 +1,75 @@
+/* Variables_Set class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Variables_Set_inlines_hh
+#define PPL_Variables_Set_inlines_hh 1
+
+#include "globals_defs.hh"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Variables_Set::Variables_Set()
+ : Base() {
+}
+
+inline void
+Variables_Set::insert(const Variable v) {
+ insert(v.id());
+}
+
+inline
+Variables_Set::Variables_Set(const Variable v)
+ : Base() {
+ insert(v);
+}
+
+inline dimension_type
+Variables_Set::max_space_dimension() {
+ return Variable::max_space_dimension();
+}
+
+inline dimension_type
+Variables_Set::space_dimension() const {
+ reverse_iterator i = rbegin();
+ return (i == rend()) ? 0 : (*i + 1);
+}
+
+inline memory_size_type
+Variables_Set::external_memory_in_bytes() const {
+ // We assume sets are implemented by means of red-black trees that
+ // require to store the color (we assume an enum) and three pointers
+ // to the parent, left and right child, respectively.
+ enum color { red, black };
+ return size() * (sizeof(color) + 3*sizeof(void*) + sizeof(dimension_type));
+}
+
+inline memory_size_type
+Variables_Set::total_memory_in_bytes() const {
+ return sizeof(*this) + external_memory_in_bytes();
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Variables_Set_inlines_hh)
diff --git a/src/Variables_Set_types.hh b/src/Variables_Set_types.hh
new file mode 100644
index 0000000..5cc6456
--- /dev/null
+++ b/src/Variables_Set_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Variables_Set_types_hh
+#define PPL_Variables_Set_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Variables_Set;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Variables_Set_types_hh)
diff --git a/src/WRD_coefficient_types.defs.hh b/src/WRD_coefficient_types.defs.hh
deleted file mode 100644
index 7c1e23e..0000000
--- a/src/WRD_coefficient_types.defs.hh
+++ /dev/null
@@ -1,153 +0,0 @@
-/* Coefficient types of weakly-relational domains: declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_WRD_coefficient_types_defs_hh
-#define PPL_WRD_coefficient_types_defs_hh 1
-
-#include "meta_programming.hh"
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief \ingroup PPL_CXX_interface
- The production policy for checked numbers used in weakly-relational
- domains.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct WRD_Extended_Number_Policy {
- //! Check for overflowed result.
- const_bool_nodef(check_overflow, true);
-
- //! Do not check for attempts to add infinities with different sign.
- const_bool_nodef(check_inf_add_inf, false);
-
- //! Do not check for attempts to subtract infinities with same sign.
- const_bool_nodef(check_inf_sub_inf, false);
-
- //! Do not check for attempts to multiply infinities by zero.
- const_bool_nodef(check_inf_mul_zero, false);
-
- //! Do not check for attempts to divide by zero.
- const_bool_nodef(check_div_zero, false);
-
- //! Do not check for attempts to divide infinities.
- const_bool_nodef(check_inf_div_inf, false);
-
- //! Do not check for attempts to compute remainder of infinities.
- const_bool_nodef(check_inf_mod, false);
-
- //! Do not checks for attempts to take the square root of a negative number.
- const_bool_nodef(check_sqrt_neg, false);
-
- //! Handle not-a-number special value.
- const_bool_nodef(has_nan, true);
-
- //! Handle infinity special values.
- const_bool_nodef(has_infinity, true);
-
- // `convertible' is intentionally not defined: the compile time
- // error on conversions is the expected behavior.
-
- //! Honor requests to check for FPU inexact results.
- const_bool_nodef(fpu_check_inexact, true);
-
- //! Do not make extra checks to detect FPU NaN results.
- const_bool_nodef(fpu_check_nan_result, false);
-
- // ROUND_DEFAULT_CONSTRUCTOR is intentionally not defined.
- // ROUND_DEFAULT_OPERATOR is intentionally not defined.
- // ROUND_DEFAULT_FUNCTION is intentionally not defined.
- // ROUND_DEFAULT_INPUT is intentionally not defined.
- // ROUND_DEFAULT_OUTPUT is intentionally not defined.
-
- /*! \brief
- Handles \p r: called by all constructors, operators and functions that
- do not return a Result value.
- */
- static void handle_result(Result r);
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief \ingroup PPL_CXX_interface
- The debugging policy for checked numbers used in weakly-relational
- domains.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct Debug_WRD_Extended_Number_Policy {
- //! Check for overflowed result.
- const_bool_nodef(check_overflow, true);
-
- //! Check for attempts to add infinities with different sign.
- const_bool_nodef(check_inf_add_inf, true);
-
- //! Check for attempts to subtract infinities with same sign.
- const_bool_nodef(check_inf_sub_inf, true);
-
- //! Check for attempts to multiply infinities by zero.
- const_bool_nodef(check_inf_mul_zero, true);
-
- //! Check for attempts to divide by zero.
- const_bool_nodef(check_div_zero, true);
-
- //! Check for attempts to divide infinities.
- const_bool_nodef(check_inf_div_inf, true);
-
- //! Check for attempts to compute remainder of infinities.
- const_bool_nodef(check_inf_mod, true);
-
- //! Checks for attempts to take the square root of a negative number.
- const_bool_nodef(check_sqrt_neg, true);
-
- //! Handle not-a-number special value.
- const_bool_nodef(has_nan, true);
-
- //! Handle infinity special values.
- const_bool_nodef(has_infinity, true);
-
- // `convertible' is intentionally not defined: the compile time
- // error on conversions is the expected behavior.
-
- //! Honor requests to check for FPU inexact results.
- const_bool_nodef(fpu_check_inexact, true);
-
- //! Make extra checks to detect FPU NaN results.
- const_bool_nodef(fpu_check_nan_result, true);
-
- // ROUND_DEFAULT_CONSTRUCTOR is intentionally not defined.
- // ROUND_DEFAULT_OPERATOR is intentionally not defined.
- // ROUND_DEFAULT_FUNCTION is intentionally not defined.
- // ROUND_DEFAULT_INPUT is intentionally not defined.
- // ROUND_DEFAULT_OUTPUT is intentionally not defined.
-
- /*! \brief
- Handles \p r: called by all constructors, operators and functions that
- do not return a Result value.
- */
- static void handle_result(Result r);
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "WRD_coefficient_types.inlines.hh"
-
-#endif // !defined(PPL_WRD_coefficient_types_defs_hh)
diff --git a/src/WRD_coefficient_types.inlines.hh b/src/WRD_coefficient_types.inlines.hh
deleted file mode 100644
index b30789c..0000000
--- a/src/WRD_coefficient_types.inlines.hh
+++ /dev/null
@@ -1,43 +0,0 @@
-/* Coefficient types of weakly-relational domains: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_WRD_coefficient_types_inlines_hh
-#define PPL_WRD_coefficient_types_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-WRD_Extended_Number_Policy::handle_result(Result r) {
- if (result_class(r) == VC_NAN)
- throw_result_exception(r);
-}
-
-inline void
-Debug_WRD_Extended_Number_Policy::handle_result(Result r) {
- if (result_class(r) == VC_NAN)
- throw_result_exception(r);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_WRD_coefficient_types_inlines_hh)
diff --git a/src/WRD_coefficient_types_defs.hh b/src/WRD_coefficient_types_defs.hh
new file mode 100644
index 0000000..f9cf6e2
--- /dev/null
+++ b/src/WRD_coefficient_types_defs.hh
@@ -0,0 +1,153 @@
+/* Coefficient types of weakly-relational domains: declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_WRD_coefficient_types_defs_hh
+#define PPL_WRD_coefficient_types_defs_hh 1
+
+#include "meta_programming.hh"
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface \brief
+ The production policy for checked numbers used in weakly-relational
+ domains.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct WRD_Extended_Number_Policy {
+ //! Check for overflowed result.
+ const_bool_nodef(check_overflow, true);
+
+ //! Do not check for attempts to add infinities with different sign.
+ const_bool_nodef(check_inf_add_inf, false);
+
+ //! Do not check for attempts to subtract infinities with same sign.
+ const_bool_nodef(check_inf_sub_inf, false);
+
+ //! Do not check for attempts to multiply infinities by zero.
+ const_bool_nodef(check_inf_mul_zero, false);
+
+ //! Do not check for attempts to divide by zero.
+ const_bool_nodef(check_div_zero, false);
+
+ //! Do not check for attempts to divide infinities.
+ const_bool_nodef(check_inf_div_inf, false);
+
+ //! Do not check for attempts to compute remainder of infinities.
+ const_bool_nodef(check_inf_mod, false);
+
+ //! Do not checks for attempts to take the square root of a negative number.
+ const_bool_nodef(check_sqrt_neg, false);
+
+ //! Handle not-a-number special value.
+ const_bool_nodef(has_nan, true);
+
+ //! Handle infinity special values.
+ const_bool_nodef(has_infinity, true);
+
+ // `convertible' is intentionally not defined: the compile time
+ // error on conversions is the expected behavior.
+
+ //! Honor requests to check for FPU inexact results.
+ const_bool_nodef(fpu_check_inexact, true);
+
+ //! Do not make extra checks to detect FPU NaN results.
+ const_bool_nodef(fpu_check_nan_result, false);
+
+ // ROUND_DEFAULT_CONSTRUCTOR is intentionally not defined.
+ // ROUND_DEFAULT_OPERATOR is intentionally not defined.
+ // ROUND_DEFAULT_FUNCTION is intentionally not defined.
+ // ROUND_DEFAULT_INPUT is intentionally not defined.
+ // ROUND_DEFAULT_OUTPUT is intentionally not defined.
+
+ /*! \brief
+ Handles \p r: called by all constructors, operators and functions that
+ do not return a Result value.
+ */
+ static void handle_result(Result r);
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface \brief
+ The debugging policy for checked numbers used in weakly-relational
+ domains.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct Debug_WRD_Extended_Number_Policy {
+ //! Check for overflowed result.
+ const_bool_nodef(check_overflow, true);
+
+ //! Check for attempts to add infinities with different sign.
+ const_bool_nodef(check_inf_add_inf, true);
+
+ //! Check for attempts to subtract infinities with same sign.
+ const_bool_nodef(check_inf_sub_inf, true);
+
+ //! Check for attempts to multiply infinities by zero.
+ const_bool_nodef(check_inf_mul_zero, true);
+
+ //! Check for attempts to divide by zero.
+ const_bool_nodef(check_div_zero, true);
+
+ //! Check for attempts to divide infinities.
+ const_bool_nodef(check_inf_div_inf, true);
+
+ //! Check for attempts to compute remainder of infinities.
+ const_bool_nodef(check_inf_mod, true);
+
+ //! Checks for attempts to take the square root of a negative number.
+ const_bool_nodef(check_sqrt_neg, true);
+
+ //! Handle not-a-number special value.
+ const_bool_nodef(has_nan, true);
+
+ //! Handle infinity special values.
+ const_bool_nodef(has_infinity, true);
+
+ // `convertible' is intentionally not defined: the compile time
+ // error on conversions is the expected behavior.
+
+ //! Honor requests to check for FPU inexact results.
+ const_bool_nodef(fpu_check_inexact, true);
+
+ //! Make extra checks to detect FPU NaN results.
+ const_bool_nodef(fpu_check_nan_result, true);
+
+ // ROUND_DEFAULT_CONSTRUCTOR is intentionally not defined.
+ // ROUND_DEFAULT_OPERATOR is intentionally not defined.
+ // ROUND_DEFAULT_FUNCTION is intentionally not defined.
+ // ROUND_DEFAULT_INPUT is intentionally not defined.
+ // ROUND_DEFAULT_OUTPUT is intentionally not defined.
+
+ /*! \brief
+ Handles \p r: called by all constructors, operators and functions that
+ do not return a Result value.
+ */
+ static void handle_result(Result r);
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "WRD_coefficient_types_inlines.hh"
+
+#endif // !defined(PPL_WRD_coefficient_types_defs_hh)
diff --git a/src/WRD_coefficient_types_inlines.hh b/src/WRD_coefficient_types_inlines.hh
new file mode 100644
index 0000000..2a8051e
--- /dev/null
+++ b/src/WRD_coefficient_types_inlines.hh
@@ -0,0 +1,43 @@
+/* Coefficient types of weakly-relational domains: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_WRD_coefficient_types_inlines_hh
+#define PPL_WRD_coefficient_types_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+WRD_Extended_Number_Policy::handle_result(Result r) {
+ if (result_class(r) == VC_NAN)
+ throw_result_exception(r);
+}
+
+inline void
+Debug_WRD_Extended_Number_Policy::handle_result(Result r) {
+ if (result_class(r) == VC_NAN)
+ throw_result_exception(r);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_WRD_coefficient_types_inlines_hh)
diff --git a/src/Watchdog.cc b/src/Watchdog.cc
index db789a8..4f48376 100644
--- a/src/Watchdog.cc
+++ b/src/Watchdog.cc
@@ -1,6 +1,6 @@
/* Watchdog and associated classes' implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "Watchdog.defs.hh"
+#include "Watchdog_defs.hh"
#if PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
@@ -97,14 +97,14 @@ my_getitimer(int which, struct itimerval* value) {
void
my_setitimer(int which,
- const struct itimerval* value, struct itimerval* old_value) {
+ const struct itimerval* value, struct itimerval* old_value) {
if (setitimer(which, value, old_value) != 0)
throw_syscall_error("setitimer");
}
void
my_sigaction(int signum,
- const struct sigaction* act, struct sigaction* old_action) {
+ const struct sigaction* act, struct sigaction* old_action) {
if (sigaction(signum, act, old_action) != 0)
throw_syscall_error("sigaction");
}
@@ -116,7 +116,7 @@ PPL::Watchdog::get_timer(Implementation::Watchdog::Time& time) {
using namespace Implementation::Watchdog;
my_getitimer(THE_TIMER, ¤t_timer_status);
time = Time(current_timer_status.it_value.tv_sec,
- current_timer_status.it_value.tv_usec);
+ current_timer_status.it_value.tv_usec);
}
void
@@ -143,16 +143,16 @@ PPL::Watchdog::handle_timeout(int) {
else {
time_so_far += last_time_requested;
if (!pending.empty()) {
- WD_Pending_List::Iterator i = pending.begin();
+ WD_Pending_List::iterator i = pending.begin();
do {
- i->handler().act();
- i->expired_flag() = true;
- i = pending.erase(i);
+ i->handler().act();
+ i->expired_flag() = true;
+ i = pending.erase(i);
} while (i != pending.end() && i->deadline() <= time_so_far);
if (pending.empty())
- alarm_clock_running = false;
+ alarm_clock_running = false;
else
- set_timer((*pending.begin()).deadline() - time_so_far);
+ set_timer((*pending.begin()).deadline() - time_so_far);
}
else
alarm_clock_running = false;
@@ -164,14 +164,14 @@ PPL::PPL_handle_timeout(int signum) {
PPL::Watchdog::handle_timeout(signum);
}
-PPL::Watchdog::WD_Pending_List::Iterator
+PPL::Watchdog::WD_Pending_List::iterator
PPL::Watchdog::new_watchdog_event(long csecs,
- const WD_Handler& handler,
- bool& expired_flag) {
+ const WD_Handler& handler,
+ bool& expired_flag) {
using namespace Implementation::Watchdog;
assert(csecs > 0);
- WD_Pending_List::Iterator position;
- Time deadline(csecs);
+ WD_Pending_List::iterator position;
+ const Time deadline(csecs);
if (!alarm_clock_running) {
position = pending.insert(deadline, handler, expired_flag);
time_so_far = Time(0);
@@ -197,24 +197,24 @@ PPL::Watchdog::new_watchdog_event(long csecs,
}
void
-PPL::Watchdog::remove_watchdog_event(WD_Pending_List::Iterator position) {
+PPL::Watchdog::remove_watchdog_event(WD_Pending_List::iterator position) {
using namespace Implementation::Watchdog;
assert(!pending.empty());
if (position == pending.begin()) {
- WD_Pending_List::Iterator next = position;
+ WD_Pending_List::iterator next = position;
++next;
if (next != pending.end()) {
- Time first_deadline(position->deadline());
+ const Time first_deadline(position->deadline());
Time next_deadline(next->deadline());
if (first_deadline != next_deadline) {
- Time time_to_shoot;
- get_timer(time_to_shoot);
- Time elapsed_time(last_time_requested);
- elapsed_time -= time_to_shoot;
- time_so_far += elapsed_time;
- next_deadline -= first_deadline;
- time_to_shoot += next_deadline;
- set_timer(time_to_shoot);
+ Time time_to_shoot;
+ get_timer(time_to_shoot);
+ Time elapsed_time(last_time_requested);
+ elapsed_time -= time_to_shoot;
+ time_so_far += elapsed_time;
+ next_deadline -= first_deadline;
+ time_to_shoot += next_deadline;
+ set_timer(time_to_shoot);
}
}
else {
diff --git a/src/Watchdog.defs.hh b/src/Watchdog.defs.hh
deleted file mode 100644
index 338e27b..0000000
--- a/src/Watchdog.defs.hh
+++ /dev/null
@@ -1,148 +0,0 @@
-/* Watchdog and associated classes' declaration and inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Watchdog_defs_hh
-#define PPL_Watchdog_defs_hh 1
-
-#include "Watchdog.types.hh"
-#include "Time.defs.hh"
-#include "Handler.types.hh"
-#include "Pending_List.defs.hh"
-#include <cassert>
-#include <functional>
-
-#ifdef PPL_HAVE_SYS_TIME_H
-# include <sys/time.h>
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-// Set linkage now to declare it friend later.
-extern "C" void PPL_handle_timeout(int signum);
-
-struct Watchdog_Traits {
- typedef Implementation::Watchdog::Time Threshold;
- static bool less_than(const Threshold& a, const Threshold& b) {
- return a < b;
- }
-};
-
-//! A watchdog timer.
-class Watchdog {
-public:
- template <typename Flag_Base, typename Flag>
- Watchdog(long csecs, const Flag_Base* volatile& holder, Flag& flag);
-
- /*! \brief
- Constructor: if not reset, the watchdog will trigger after \p csecs
- centiseconds, invoking handler \p function.
- */
- Watchdog(long csecs, void (*function)());
-
- //! Destructor.
- ~Watchdog();
-
-#if PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
-
- //! Static class initialization.
- static void initialize();
- //! Static class finalization.
- static void finalize();
-
-private:
- //! Whether or not this watchdog has expired.
- bool expired;
-
- typedef Implementation::Watchdog::Pending_List<Watchdog_Traits>
- WD_Pending_List;
-
- typedef Implementation::Watchdog::Handler
- WD_Handler;
-
- const WD_Handler& handler;
- WD_Pending_List::Iterator pending_position;
-
- // Private and not implemented: copy construction is not allowed.
- Watchdog(const Watchdog&);
- // Private and not implemented: copy assignment is not allowed.
- Watchdog& operator=(const Watchdog&);
-
- // Pass this to getitimer().
- static itimerval current_timer_status;
-
- //! Reads the timer value into \p time.
- static void get_timer(Implementation::Watchdog::Time& time);
-
- // Pass this to setitimer().
- static itimerval signal_once;
-
- // Last time value we set the timer to.
- static Implementation::Watchdog::Time last_time_requested;
-
- //! Sets the timer value to \p time.
- static void set_timer(const Implementation::Watchdog::Time& time);
-
- //! Stops the timer.
- static void stop_timer();
-
- //! Quick reschedule to avoid race conditions.
- static void reschedule();
-
- // Used by the above.
- static Implementation::Watchdog::Time reschedule_time;
-
- // Records the time elapsed since last fresh start.
- static Implementation::Watchdog::Time time_so_far;
-
- //! The ordered queue of pending watchdog events.
- static WD_Pending_List pending;
-
- //! The actual signal handler.
- static void handle_timeout(int);
-
- //! Handles the addition of a new watchdog event.
- static WD_Pending_List::Iterator
- new_watchdog_event(long csecs,
- const WD_Handler& handler,
- bool& expired_flag);
-
- //! Handles the removal of the watchdog event referred by \p position.
- void remove_watchdog_event(WD_Pending_List::Iterator position);
-
- //! Whether the alarm clock is running.
- static volatile bool alarm_clock_running;
-
- //! Whether we are changing data that is also changed by the signal handler.
- static volatile bool in_critical_section;
-
- friend void PPL_handle_timeout(int signum);
-
-#endif // PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Watchdog.inlines.hh"
-
-#endif // !defined(PPL_Watchdog_defs_hh)
-
diff --git a/src/Watchdog.inlines.hh b/src/Watchdog.inlines.hh
deleted file mode 100644
index 30798ef..0000000
--- a/src/Watchdog.inlines.hh
+++ /dev/null
@@ -1,101 +0,0 @@
-/* Watchdog and associated classes' implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Watchdog_inlines_hh
-#define PPL_Watchdog_inlines_hh 1
-
-#include "Handler.defs.hh"
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-#if PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
-
-template <typename Flag_Base, typename Flag>
-Watchdog::Watchdog(long csecs,
- const Flag_Base* volatile& holder,
- Flag& flag)
- : expired(false),
- handler(*new
- Implementation::Watchdog::Handler_Flag<Flag_Base, Flag>(holder,
- flag)) {
- if (csecs == 0)
- throw std::invalid_argument("Watchdog constructor called with a"
- " non-positive number of centiseconds");
- in_critical_section = true;
- pending_position = new_watchdog_event(csecs, handler, expired);
- in_critical_section = false;
-}
-
-inline
-Watchdog::Watchdog(long csecs, void (*function)())
- : expired(false),
- handler(*new Implementation::Watchdog::Handler_Function(function)) {
- if (csecs == 0)
- throw std::invalid_argument("Watchdog constructor called with a"
- " non-positive number of centiseconds");
- in_critical_section = true;
- pending_position = new_watchdog_event(csecs, handler, expired);
- in_critical_section = false;
-}
-
-inline
-Watchdog::~Watchdog() {
- if (!expired) {
- in_critical_section = true;
- remove_watchdog_event(pending_position);
- in_critical_section = false;
- }
- delete &handler;
-}
-
-inline void
-Watchdog::reschedule() {
- set_timer(reschedule_time);
-}
-
-#else // !PPL_HAVE_DECL_SETITIMER !! !PPL_HAVE_DECL_SIGACTION
-
-template <typename Flag_Base, typename Flag>
-Watchdog::Watchdog(long /* csecs */,
- const Flag_Base* volatile& /* holder */,
- Flag& /* flag */) {
- throw std::logic_error("PPL::Watchdog::Watchdog objects not supported:"
- " system does not provide setitimer()");
-}
-
-inline
-Watchdog::Watchdog(long /* csecs */, void (* /* function */)()) {
- throw std::logic_error("PPL::Watchdog::Watchdog objects not supported:"
- " system does not provide setitimer()");
-}
-
-inline
-Watchdog::~Watchdog() {
-}
-
-#endif // !PPL_HAVE_DECL_SETITIMER !! !PPL_HAVE_DECL_SIGACTION
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Watchdog_inlines_hh)
diff --git a/src/Watchdog.types.hh b/src/Watchdog.types.hh
deleted file mode 100644
index 59436e1..0000000
--- a/src/Watchdog.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Watchdog_types_hh
-#define PPL_Watchdog_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Watchdog;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Watchdog_types_hh)
diff --git a/src/Watchdog_defs.hh b/src/Watchdog_defs.hh
new file mode 100644
index 0000000..c39b4dd
--- /dev/null
+++ b/src/Watchdog_defs.hh
@@ -0,0 +1,148 @@
+/* Watchdog and associated classes' declaration and inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Watchdog_defs_hh
+#define PPL_Watchdog_defs_hh 1
+
+#include "Watchdog_types.hh"
+#include "Time_defs.hh"
+#include "Handler_types.hh"
+#include "Pending_List_defs.hh"
+#include <cassert>
+#include <functional>
+
+#ifdef PPL_HAVE_SYS_TIME_H
+# include <sys/time.h>
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+// Set linkage now to declare it friend later.
+extern "C" void PPL_handle_timeout(int signum);
+
+struct Watchdog_Traits {
+ typedef Implementation::Watchdog::Time Threshold;
+ static bool less_than(const Threshold& a, const Threshold& b) {
+ return a < b;
+ }
+};
+
+//! A watchdog timer.
+class Watchdog {
+public:
+ template <typename Flag_Base, typename Flag>
+ Watchdog(long csecs, const Flag_Base* volatile& holder, Flag& flag);
+
+ /*! \brief
+ Constructor: if not reset, the watchdog will trigger after \p csecs
+ centiseconds, invoking handler \p function.
+ */
+ Watchdog(long csecs, void (* const function)());
+
+ //! Destructor.
+ ~Watchdog();
+
+#if PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
+
+ //! Static class initialization.
+ static void initialize();
+ //! Static class finalization.
+ static void finalize();
+
+private:
+ //! Whether or not this watchdog has expired.
+ bool expired;
+
+ typedef Implementation::Watchdog::Pending_List<Watchdog_Traits>
+ WD_Pending_List;
+
+ typedef Implementation::Watchdog::Handler
+ WD_Handler;
+
+ const WD_Handler& handler;
+ WD_Pending_List::iterator pending_position;
+
+ // Private and not implemented: copy construction is not allowed.
+ Watchdog(const Watchdog&);
+ // Private and not implemented: copy assignment is not allowed.
+ Watchdog& operator=(const Watchdog&);
+
+ // Pass this to getitimer().
+ static itimerval current_timer_status;
+
+ //! Reads the timer value into \p time.
+ static void get_timer(Implementation::Watchdog::Time& time);
+
+ // Pass this to setitimer().
+ static itimerval signal_once;
+
+ // Last time value we set the timer to.
+ static Implementation::Watchdog::Time last_time_requested;
+
+ //! Sets the timer value to \p time.
+ static void set_timer(const Implementation::Watchdog::Time& time);
+
+ //! Stops the timer.
+ static void stop_timer();
+
+ //! Quick reschedule to avoid race conditions.
+ static void reschedule();
+
+ // Used by the above.
+ static Implementation::Watchdog::Time reschedule_time;
+
+ // Records the time elapsed since last fresh start.
+ static Implementation::Watchdog::Time time_so_far;
+
+ //! The ordered queue of pending watchdog events.
+ static WD_Pending_List pending;
+
+ //! The actual signal handler.
+ static void handle_timeout(int);
+
+ //! Handles the addition of a new watchdog event.
+ static WD_Pending_List::iterator
+ new_watchdog_event(long csecs,
+ const WD_Handler& handler,
+ bool& expired_flag);
+
+ //! Handles the removal of the watchdog event referred by \p position.
+ void remove_watchdog_event(WD_Pending_List::iterator position);
+
+ //! Whether the alarm clock is running.
+ static volatile bool alarm_clock_running;
+
+ //! Whether we are changing data that is also changed by the signal handler.
+ static volatile bool in_critical_section;
+
+ friend void PPL_handle_timeout(int signum);
+
+#endif // PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Watchdog_inlines.hh"
+
+#endif // !defined(PPL_Watchdog_defs_hh)
+
diff --git a/src/Watchdog_inlines.hh b/src/Watchdog_inlines.hh
new file mode 100644
index 0000000..cab18e4
--- /dev/null
+++ b/src/Watchdog_inlines.hh
@@ -0,0 +1,101 @@
+/* Watchdog and associated classes' implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Watchdog_inlines_hh
+#define PPL_Watchdog_inlines_hh 1
+
+#include "Handler_defs.hh"
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+#if PPL_HAVE_DECL_SETITIMER && PPL_HAVE_DECL_SIGACTION
+
+template <typename Flag_Base, typename Flag>
+Watchdog::Watchdog(long csecs,
+ const Flag_Base* volatile& holder,
+ Flag& flag)
+ : expired(false),
+ handler(*new
+ Implementation::Watchdog::Handler_Flag<Flag_Base, Flag>(holder,
+ flag)) {
+ if (csecs == 0)
+ throw std::invalid_argument("Watchdog constructor called with a"
+ " non-positive number of centiseconds");
+ in_critical_section = true;
+ pending_position = new_watchdog_event(csecs, handler, expired);
+ in_critical_section = false;
+}
+
+inline
+Watchdog::Watchdog(long csecs, void (* const function)())
+ : expired(false),
+ handler(*new Implementation::Watchdog::Handler_Function(function)) {
+ if (csecs == 0)
+ throw std::invalid_argument("Watchdog constructor called with a"
+ " non-positive number of centiseconds");
+ in_critical_section = true;
+ pending_position = new_watchdog_event(csecs, handler, expired);
+ in_critical_section = false;
+}
+
+inline
+Watchdog::~Watchdog() {
+ if (!expired) {
+ in_critical_section = true;
+ remove_watchdog_event(pending_position);
+ in_critical_section = false;
+ }
+ delete &handler;
+}
+
+inline void
+Watchdog::reschedule() {
+ set_timer(reschedule_time);
+}
+
+#else // !PPL_HAVE_DECL_SETITIMER !! !PPL_HAVE_DECL_SIGACTION
+
+template <typename Flag_Base, typename Flag>
+Watchdog::Watchdog(long /* csecs */,
+ const Flag_Base* volatile& /* holder */,
+ Flag& /* flag */) {
+ throw std::logic_error("PPL::Watchdog::Watchdog objects not supported:"
+ " system does not provide setitimer()");
+}
+
+inline
+Watchdog::Watchdog(long /* csecs */, void (* /* function */)()) {
+ throw std::logic_error("PPL::Watchdog::Watchdog objects not supported:"
+ " system does not provide setitimer()");
+}
+
+inline
+Watchdog::~Watchdog() {
+}
+
+#endif // !PPL_HAVE_DECL_SETITIMER !! !PPL_HAVE_DECL_SIGACTION
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Watchdog_inlines_hh)
diff --git a/src/Watchdog_types.hh b/src/Watchdog_types.hh
new file mode 100644
index 0000000..68d79a3
--- /dev/null
+++ b/src/Watchdog_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Watchdog_types_hh
+#define PPL_Watchdog_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Watchdog;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Watchdog_types_hh)
diff --git a/src/Weight_Profiler.cc b/src/Weight_Profiler.cc
index 75c2795..153eaad 100644
--- a/src/Weight_Profiler.cc
+++ b/src/Weight_Profiler.cc
@@ -1,6 +1,6 @@
/* Weight_Profiler class implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,12 +22,12 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "globals.defs.hh"
+#include "globals_defs.hh"
#if PPL_PROFILE_ADD_WEIGHT
#include <iostream>
#include <cmath>
-#include "Weight_Profiler.defs.hh"
+#include "Weight_Profiler_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -42,22 +42,22 @@ void Weight_Profiler::output_stats() {
double variance
= stat[VALID].squares_sum / stat[VALID].count - average * average;
std::cout << " samples(" << stat[VALID].samples << ")"
- << " count(" << stat[VALID].count << ")"
- << " min( " << stat[VALID].min << ")"
- << " max( " << stat[VALID].max << ")"
- << " average(" << average << ")";
+ << " count(" << stat[VALID].count << ")"
+ << " min( " << stat[VALID].min << ")"
+ << " max( " << stat[VALID].max << ")"
+ << " average(" << average << ")";
std::cout << " variance( " << variance << ")"
- << " stddev( " << sqrt(variance) << ")";
+ << " stddev( " << sqrt(variance) << ")";
}
if (stat[DISCARDED].samples > 0) {
std::cout << " min_threshold( " << min_threshold << ")"
- << " max_threshold( " << max_threshold << ")";
+ << " max_threshold( " << max_threshold << ")";
double average = stat[DISCARDED].sum / stat[DISCARDED].count;
std::cout << " samples(" << stat[DISCARDED].samples << ")"
- << " count(" << stat[DISCARDED].count << ")"
- << " min( " << stat[DISCARDED].min << ")"
- << " max( " << stat[DISCARDED].max << ")"
- << " average(" << average << ")";
+ << " count(" << stat[DISCARDED].count << ")"
+ << " min( " << stat[DISCARDED].min << ")"
+ << " max( " << stat[DISCARDED].max << ")"
+ << " average(" << average << ")";
}
}
std::cout << std::endl;
diff --git a/src/Weight_Profiler.defs.hh b/src/Weight_Profiler.defs.hh
deleted file mode 100644
index 582308c..0000000
--- a/src/Weight_Profiler.defs.hh
+++ /dev/null
@@ -1,154 +0,0 @@
-/* Weight_Profiler class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef Weight_Profiler_defs_hh
-#define Weight_Profiler_defs_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-class Weight_Profiler {
-private:
- enum { DISCARDED = 0, VALID = 1 };
-
-public:
- Weight_Profiler(const char* file, int line,
- Weightwatch_Traits::Delta delta,
- double min_threshold = 0, double max_threshold = 0)
- : file(file), line(line), delta(delta),
- min_threshold(min_threshold), max_threshold(max_threshold) {
- for (int i = 0; i < 2; ++i) {
- stat[i].samples = 0;
- stat[i].count = 0;
- stat[i].sum = 0;
- stat[i].squares_sum = 0;
- stat[i].min = 0;
- stat[i].max = 0;
- }
- }
-
- ~Weight_Profiler() {
- output_stats();
- }
-
- void output_stats();
-
- static void begin() {
-#ifndef NDEBUG
- int r = clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
- assert(r >= 0);
-#else
- clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
-#endif
- }
-
- void end(unsigned int factor = 1) {
- Weightwatch_Traits::weight
- += (Weightwatch_Traits::Threshold) delta * factor;
- struct timespec start = stamp;
- begin();
- double elapsed;
- if (stamp.tv_nsec >= start.tv_nsec) {
- elapsed = (stamp.tv_nsec - start.tv_nsec)
- + (stamp.tv_sec - start.tv_sec) * 1e9;
- }
- else {
- elapsed = (1000000000 - start.tv_nsec + stamp.tv_nsec )
- + (stamp.tv_sec - start.tv_sec - 1) * 1e9;
- }
- elapsed -= adjustment;
- double elapsed1 = elapsed / factor;
- int i = (elapsed1 < min_threshold
- || (max_threshold > 0 && elapsed1 > max_threshold))
- ? DISCARDED
- : VALID;
- ++stat[i].samples;
- if (stat[i].count == 0)
- stat[i].min = stat[i].max = elapsed1;
- else if (stat[i].min > elapsed1)
- stat[i].min = elapsed1;
- else if (stat[i].max < elapsed1)
- stat[i].max = elapsed1;
- stat[i].sum += elapsed;
- stat[i].squares_sum += elapsed * elapsed1;
- stat[i].count += factor;
- }
-
- static double tune_adjustment();
-
- private:
- //! File of this profiling point.
- const char *file;
-
- //! Line of this profiling point.
- int line;
-
- //! Computational weight to be added at each iteration.
- Weightwatch_Traits::Delta delta;
-
- //! Times less than this value are discarded.
- double min_threshold;
-
- //! Times greater than this value are discarded.
- double max_threshold;
-
- //! Statistical data for samples (both DISCARDED and VALID)
- struct {
- //! Number of collected samples.
- unsigned int samples;
-
- /*! \brief
- Number of collected iterations.
-
- \note
- Multiple iterations are possibly collected for each sample.
- */
- unsigned int count;
-
- //! Sum of the measured times.
- double sum;
-
- //! Sum of the squares of the measured times (to compute variance).
- double squares_sum;
-
- //! Minimum measured time.
- double min;
-
- //! Maximum measured time.
- double max;
- } stat[2];
-
- //! Holds the time corresponding to last time begin() was called.
- static struct timespec stamp;
-
- /*! \brief
- Time quantity used to adjust the elapsed times so as not to take
- into account the time spent by the measurement infrastructure.
- */
- static double adjustment;
-};
-
-}
-
-#endif // Weight_Profiler_defs_hh
diff --git a/src/Weight_Profiler_defs.hh b/src/Weight_Profiler_defs.hh
new file mode 100644
index 0000000..68e9cb5
--- /dev/null
+++ b/src/Weight_Profiler_defs.hh
@@ -0,0 +1,154 @@
+/* Weight_Profiler class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef Weight_Profiler_defs_hh
+#define Weight_Profiler_defs_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+class Weight_Profiler {
+private:
+ enum { DISCARDED = 0, VALID = 1 };
+
+public:
+ Weight_Profiler(const char* file, int line,
+ Weightwatch_Traits::Delta delta,
+ double min_threshold = 0, double max_threshold = 0)
+ : file(file), line(line), delta(delta),
+ min_threshold(min_threshold), max_threshold(max_threshold) {
+ for (int i = 0; i < 2; ++i) {
+ stat[i].samples = 0;
+ stat[i].count = 0;
+ stat[i].sum = 0;
+ stat[i].squares_sum = 0;
+ stat[i].min = 0;
+ stat[i].max = 0;
+ }
+ }
+
+ ~Weight_Profiler() {
+ output_stats();
+ }
+
+ void output_stats();
+
+ static void begin() {
+#ifndef NDEBUG
+ int r = clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
+ assert(r >= 0);
+#else
+ clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
+#endif
+ }
+
+ void end(unsigned int factor = 1) {
+ Weightwatch_Traits::weight
+ += (Weightwatch_Traits::Threshold) delta * factor;
+ struct timespec start = stamp;
+ begin();
+ double elapsed;
+ if (stamp.tv_nsec >= start.tv_nsec) {
+ elapsed = (stamp.tv_nsec - start.tv_nsec)
+ + (stamp.tv_sec - start.tv_sec) * 1e9;
+ }
+ else {
+ elapsed = (1000000000 - start.tv_nsec + stamp.tv_nsec )
+ + (stamp.tv_sec - start.tv_sec - 1) * 1e9;
+ }
+ elapsed -= adjustment;
+ double elapsed1 = elapsed / factor;
+ int i = (elapsed1 < min_threshold
+ || (max_threshold > 0 && elapsed1 > max_threshold))
+ ? DISCARDED
+ : VALID;
+ ++stat[i].samples;
+ if (stat[i].count == 0)
+ stat[i].min = stat[i].max = elapsed1;
+ else if (stat[i].min > elapsed1)
+ stat[i].min = elapsed1;
+ else if (stat[i].max < elapsed1)
+ stat[i].max = elapsed1;
+ stat[i].sum += elapsed;
+ stat[i].squares_sum += elapsed * elapsed1;
+ stat[i].count += factor;
+ }
+
+ static double tune_adjustment();
+
+ private:
+ //! File of this profiling point.
+ const char *file;
+
+ //! Line of this profiling point.
+ int line;
+
+ //! Computational weight to be added at each iteration.
+ Weightwatch_Traits::Delta delta;
+
+ //! Times less than this value are discarded.
+ double min_threshold;
+
+ //! Times greater than this value are discarded.
+ double max_threshold;
+
+ //! Statistical data for samples (both DISCARDED and VALID)
+ struct {
+ //! Number of collected samples.
+ unsigned int samples;
+
+ /*! \brief
+ Number of collected iterations.
+
+ \note
+ Multiple iterations are possibly collected for each sample.
+ */
+ unsigned int count;
+
+ //! Sum of the measured times.
+ double sum;
+
+ //! Sum of the squares of the measured times (to compute variance).
+ double squares_sum;
+
+ //! Minimum measured time.
+ double min;
+
+ //! Maximum measured time.
+ double max;
+ } stat[2];
+
+ //! Holds the time corresponding to last time begin() was called.
+ static struct timespec stamp;
+
+ /*! \brief
+ Time quantity used to adjust the elapsed times so as not to take
+ into account the time spent by the measurement infrastructure.
+ */
+ static double adjustment;
+};
+
+}
+
+#endif // Weight_Profiler_defs_hh
diff --git a/src/Widening_Function.defs.hh b/src/Widening_Function.defs.hh
deleted file mode 100644
index f7f9129..0000000
--- a/src/Widening_Function.defs.hh
+++ /dev/null
@@ -1,127 +0,0 @@
-/* Widening_Function class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Widening_Function_defs_hh
-#define PPL_Widening_Function_defs_hh 1
-
-#include "Widening_Function.types.hh"
-#include "Constraint_System.types.hh"
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Wraps a widening method into a function object.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename PSET>
-class Parma_Polyhedra_Library::Widening_Function {
-public:
- //! The (parametric) type of a widening method.
- typedef void (PSET::* Widening_Method)(const PSET&, unsigned*);
-
- //! Explicit unary constructor.
- explicit
- Widening_Function(Widening_Method wm);
-
- //! Function-application operator.
- /*!
- Computes <CODE>(x.*wm)(y, tp)</CODE>, where \p wm is the widening
- method stored at construction time.
- */
- void operator()(PSET& x, const PSET& y, unsigned* tp = 0) const;
-
-private:
- //! The widening method.
- Widening_Method w_method;
-};
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Wraps a limited widening method into a function object.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename PSET, typename CSYS>
-class Parma_Polyhedra_Library::Limited_Widening_Function {
-public:
- //! The (parametric) type of a limited widening method.
- typedef void (PSET::* Limited_Widening_Method)(const PSET&,
- const CSYS&,
- unsigned*);
-
- //! Constructor.
- /*!
- \param lwm
- The limited widening method.
-
- \param cs
- The constraint system limiting the widening.
- */
- Limited_Widening_Function(Limited_Widening_Method lwm,
- const CSYS& cs);
-
- //! Function-application operator.
- /*!
- Computes <CODE>(x.*lwm)(y, cs, tp)</CODE>, where \p lwm and \p cs
- are the limited widening method and the constraint system stored
- at construction time.
- */
- void operator()(PSET& x, const PSET& y, unsigned* tp = 0) const;
-
-private:
- //! The limited widening method.
- Limited_Widening_Method lw_method;
- //! A constant reference to the constraint system limiting the widening.
- const CSYS& limiting_cs;
-};
-
-namespace Parma_Polyhedra_Library {
-
-//! Wraps a widening method into a function object.
-/*!
- \relates Pointset_Powerset
-
- \param wm
- The widening method.
-*/
-template <typename PSET>
-Widening_Function<PSET>
-widen_fun_ref(void (PSET::* wm)(const PSET&, unsigned*));
-
-//! Wraps a limited widening method into a function object.
-/*!
- \relates Pointset_Powerset
-
- \param lwm
- The limited widening method.
-
- \param cs
- The constraint system limiting the widening.
-*/
-template <typename PSET, typename CSYS>
-Limited_Widening_Function<PSET, CSYS>
-widen_fun_ref(void (PSET::* lwm)(const PSET&, const CSYS&, unsigned*),
- const CSYS& cs);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Widening_Function.inlines.hh"
-
-#endif // !defined(PPL_Widening_Function_defs_hh)
diff --git a/src/Widening_Function.inlines.hh b/src/Widening_Function.inlines.hh
deleted file mode 100644
index dc4e4bc..0000000
--- a/src/Widening_Function.inlines.hh
+++ /dev/null
@@ -1,75 +0,0 @@
-/* Widening_Function class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Widening_Function_inlines_hh
-#define PPL_Widening_Function_inlines_hh 1
-
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-Widening_Function<PSET>::Widening_Function(Widening_Method wm)
- : w_method(wm) {
-}
-
-template <typename PSET>
-inline void
-Widening_Function<PSET>::
-operator()(PSET& x, const PSET& y, unsigned* tp) const {
- (x.*w_method)(y, tp);
-}
-
-template <typename PSET, typename CSYS>
-Limited_Widening_Function<PSET, CSYS>::
-Limited_Widening_Function(Limited_Widening_Method lwm,
- const CSYS& cs)
- : lw_method(lwm), limiting_cs(cs) {
-}
-
-template <typename PSET, typename CSYS>
-inline void
-Limited_Widening_Function<PSET, CSYS>::
-operator()(PSET& x, const PSET& y, unsigned* tp) const {
- (x.*lw_method)(y, limiting_cs, tp);
-}
-
-/*! \relates Pointset_Powerset */
-template <typename PSET>
-inline Widening_Function<PSET>
-widen_fun_ref(void (PSET::* wm)(const PSET&, unsigned*)) {
- return Widening_Function<PSET>(wm);
-}
-
-/*! \relates Pointset_Powerset */
-template <typename PSET, typename CSYS>
-inline Limited_Widening_Function<PSET, CSYS>
-widen_fun_ref(void (PSET::* lwm)(const PSET&, const CSYS&, unsigned*),
- const CSYS& cs) {
- return Limited_Widening_Function<PSET, CSYS>(lwm, cs);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-
-#endif // !defined(PPL_Widening_Function_inlines_hh)
diff --git a/src/Widening_Function.types.hh b/src/Widening_Function.types.hh
deleted file mode 100644
index 7931150..0000000
--- a/src/Widening_Function.types.hh
+++ /dev/null
@@ -1,26 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Widening_Function_types_hh
-#define PPL_Widening_Function_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename PSET>
-class Widening_Function;
-
-template <typename PSET, typename CSYS>
-class Limited_Widening_Function;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Widening_Function_types_hh)
diff --git a/src/Widening_Function_defs.hh b/src/Widening_Function_defs.hh
new file mode 100644
index 0000000..f2611b1
--- /dev/null
+++ b/src/Widening_Function_defs.hh
@@ -0,0 +1,127 @@
+/* Widening_Function class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Widening_Function_defs_hh
+#define PPL_Widening_Function_defs_hh 1
+
+#include "Widening_Function_types.hh"
+#include "Constraint_System_types.hh"
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Wraps a widening method into a function object.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename PSET>
+class Parma_Polyhedra_Library::Widening_Function {
+public:
+ //! The (parametric) type of a widening method.
+ typedef void (PSET::* Widening_Method)(const PSET&, unsigned*);
+
+ //! Explicit unary constructor.
+ explicit
+ Widening_Function(Widening_Method wm);
+
+ //! Function-application operator.
+ /*!
+ Computes <CODE>(x.*wm)(y, tp)</CODE>, where \p wm is the widening
+ method stored at construction time.
+ */
+ void operator()(PSET& x, const PSET& y, unsigned* tp = 0) const;
+
+private:
+ //! The widening method.
+ Widening_Method w_method;
+};
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Wraps a limited widening method into a function object.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename PSET, typename CSYS>
+class Parma_Polyhedra_Library::Limited_Widening_Function {
+public:
+ //! The (parametric) type of a limited widening method.
+ typedef void (PSET::* Limited_Widening_Method)(const PSET&,
+ const CSYS&,
+ unsigned*);
+
+ //! Constructor.
+ /*!
+ \param lwm
+ The limited widening method.
+
+ \param cs
+ The constraint system limiting the widening.
+ */
+ Limited_Widening_Function(Limited_Widening_Method lwm,
+ const CSYS& cs);
+
+ //! Function-application operator.
+ /*!
+ Computes <CODE>(x.*lwm)(y, cs, tp)</CODE>, where \p lwm and \p cs
+ are the limited widening method and the constraint system stored
+ at construction time.
+ */
+ void operator()(PSET& x, const PSET& y, unsigned* tp = 0) const;
+
+private:
+ //! The limited widening method.
+ Limited_Widening_Method lw_method;
+ //! A constant reference to the constraint system limiting the widening.
+ const CSYS& limiting_cs;
+};
+
+namespace Parma_Polyhedra_Library {
+
+//! Wraps a widening method into a function object.
+/*!
+ \relates Pointset_Powerset
+
+ \param wm
+ The widening method.
+*/
+template <typename PSET>
+Widening_Function<PSET>
+widen_fun_ref(void (PSET::* wm)(const PSET&, unsigned*));
+
+//! Wraps a limited widening method into a function object.
+/*!
+ \relates Pointset_Powerset
+
+ \param lwm
+ The limited widening method.
+
+ \param cs
+ The constraint system limiting the widening.
+*/
+template <typename PSET, typename CSYS>
+Limited_Widening_Function<PSET, CSYS>
+widen_fun_ref(void (PSET::* lwm)(const PSET&, const CSYS&, unsigned*),
+ const CSYS& cs);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Widening_Function_inlines.hh"
+
+#endif // !defined(PPL_Widening_Function_defs_hh)
diff --git a/src/Widening_Function_inlines.hh b/src/Widening_Function_inlines.hh
new file mode 100644
index 0000000..8b46af2
--- /dev/null
+++ b/src/Widening_Function_inlines.hh
@@ -0,0 +1,75 @@
+/* Widening_Function class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Widening_Function_inlines_hh
+#define PPL_Widening_Function_inlines_hh 1
+
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+Widening_Function<PSET>::Widening_Function(Widening_Method wm)
+ : w_method(wm) {
+}
+
+template <typename PSET>
+inline void
+Widening_Function<PSET>::
+operator()(PSET& x, const PSET& y, unsigned* tp) const {
+ (x.*w_method)(y, tp);
+}
+
+template <typename PSET, typename CSYS>
+Limited_Widening_Function<PSET, CSYS>::
+Limited_Widening_Function(Limited_Widening_Method lwm,
+ const CSYS& cs)
+ : lw_method(lwm), limiting_cs(cs) {
+}
+
+template <typename PSET, typename CSYS>
+inline void
+Limited_Widening_Function<PSET, CSYS>::
+operator()(PSET& x, const PSET& y, unsigned* tp) const {
+ (x.*lw_method)(y, limiting_cs, tp);
+}
+
+/*! \relates Pointset_Powerset */
+template <typename PSET>
+inline Widening_Function<PSET>
+widen_fun_ref(void (PSET::* wm)(const PSET&, unsigned*)) {
+ return Widening_Function<PSET>(wm);
+}
+
+/*! \relates Pointset_Powerset */
+template <typename PSET, typename CSYS>
+inline Limited_Widening_Function<PSET, CSYS>
+widen_fun_ref(void (PSET::* lwm)(const PSET&, const CSYS&, unsigned*),
+ const CSYS& cs) {
+ return Limited_Widening_Function<PSET, CSYS>(lwm, cs);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+
+#endif // !defined(PPL_Widening_Function_inlines_hh)
diff --git a/src/Widening_Function_types.hh b/src/Widening_Function_types.hh
new file mode 100644
index 0000000..54a7cdb
--- /dev/null
+++ b/src/Widening_Function_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Widening_Function_types_hh
+#define PPL_Widening_Function_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename PSET>
+class Widening_Function;
+
+template <typename PSET, typename CSYS>
+class Limited_Widening_Function;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Widening_Function_types_hh)
diff --git a/src/algorithms.hh b/src/algorithms.hh
index 65b6ac3..333240c 100644
--- a/src/algorithms.hh
+++ b/src/algorithms.hh
@@ -1,6 +1,6 @@
/* A collection of useful convex polyhedra algorithms: inline functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,8 +24,8 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_algorithms_hh
#define PPL_algorithms_hh 1
-#include "NNC_Polyhedron.defs.hh"
-#include "Pointset_Powerset.defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Pointset_Powerset_defs.hh"
#include <utility>
#include "assert.hh"
diff --git a/src/assert.cc b/src/assert.cc
index 284d296..fe2cdf0 100644
--- a/src/assert.cc
+++ b/src/assert.cc
@@ -1,6 +1,6 @@
/* Definitions of assert-like functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/assert.hh b/src/assert.hh
index 3c64266..c4fe5ff 100644
--- a/src/assert.hh
+++ b/src/assert.hh
@@ -1,6 +1,6 @@
/* Implementation of PPL assert-like macros.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/assign_or_swap.hh b/src/assign_or_swap.hh
index 3acdfe5..53e97e9 100644
--- a/src/assign_or_swap.hh
+++ b/src/assign_or_swap.hh
@@ -1,6 +1,6 @@
/* The assign_or_swap() utility functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/c_streambuf.cc b/src/c_streambuf.cc
index fdd630f..a15499a 100644
--- a/src/c_streambuf.cc
+++ b/src/c_streambuf.cc
@@ -1,6 +1,6 @@
/* c_streambuf class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,15 +22,15 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "c_streambuf.defs.hh"
-#include "globals.defs.hh"
+#include "c_streambuf_defs.hh"
+#include "globals_defs.hh"
#include "assert.hh"
namespace Parma_Polyhedra_Library {
c_streambuf::int_type
c_streambuf::uflow() {
- int_type c = underflow();
+ const int_type c = underflow();
next_char_buf = traits_type::eof();
return c;
}
@@ -81,7 +81,7 @@ c_streambuf::pbackfail(int_type c) {
std::streamsize
c_streambuf::xsputn(const char_type* s, std::streamsize n) {
PPL_ASSERT(n >= 0);
- size_t r = cb_write(s, static_cast<size_t>(n));
+ const size_t r = cb_write(s, static_cast<size_t>(n));
return static_cast<std::streamsize>(r);
}
diff --git a/src/c_streambuf.defs.hh b/src/c_streambuf.defs.hh
deleted file mode 100644
index 2a349af..0000000
--- a/src/c_streambuf.defs.hh
+++ /dev/null
@@ -1,127 +0,0 @@
-/* c_streambuf class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_c_streambuf_defs_hh
-#define PPL_c_streambuf_defs_hh 1
-
-#include "c_streambuf.types.hh"
-#include <streambuf>
-#include <cstddef>
-
-class Parma_Polyhedra_Library::c_streambuf
- : public std::basic_streambuf<char, std::char_traits<char> > {
-public:
- //! Constructor.
- c_streambuf();
-
- //! Destructor.
- virtual ~c_streambuf();
-
-protected:
- /*! \brief
- Gets a character in case of underflow.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
- */
- virtual int_type underflow();
-
- /*! \brief
- In case of underflow, gets a character and advances the next pointer.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
- */
- virtual int_type uflow();
-
- /*! \brief
- Gets a sequence of characters.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
- */
- virtual std::streamsize xsgetn(char_type* s, std::streamsize n);
-
- /*! \brief
- Puts character back in case of backup underflow.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.4.
- */
- virtual int_type pbackfail(int_type c = traits_type::eof());
-
- /*! \brief
- Writes a sequence of characters.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
- */
- virtual std::streamsize xsputn(const char_type* s, std::streamsize n);
-
- /*! \brief
- Writes a character in case of overflow.
-
- Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
- */
- virtual int_type overflow(int_type c);
-
- /*! \brief
- Synchronizes the stream buffer.
-
- Specified by ISO/IEC 14882:1998: 27.5.2.4.2.
- */
- virtual int sync();
-
-private:
- //! Character type of the streambuf.
- typedef char char_type;
-
- //! Traits type of the streambuf.
- typedef std::char_traits<char_type> traits_type;
-
- //! Integer type of the streambuf.
- typedef traits_type::int_type int_type;
-
- //! Buffer for the last character read.
- int_type unget_char_buf;
-
- //! Buffer for next character
- int_type next_char_buf;
-
- virtual size_t cb_read(char *, size_t) {
- return 0;
- }
- virtual size_t cb_write(const char *, size_t) {
- return 0;
- }
- virtual int cb_sync() {
- return 0;
- }
- virtual int cb_flush() {
- return 0;
- }
-};
-
-#include "c_streambuf.inlines.hh"
-
-#endif // !defined(PPL_c_streambuf_defs_hh)
diff --git a/src/c_streambuf.inlines.hh b/src/c_streambuf.inlines.hh
deleted file mode 100644
index d15af79..0000000
--- a/src/c_streambuf.inlines.hh
+++ /dev/null
@@ -1,40 +0,0 @@
-/* c_streambuf class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_c_streambuf_inlines_hh
-#define PPL_c_streambuf_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-c_streambuf::c_streambuf()
- : unget_char_buf(traits_type::eof()), next_char_buf(traits_type::eof()) {
-}
-
-inline
-c_streambuf::~c_streambuf() {
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_c_streambuf_inlines_hh)
diff --git a/src/c_streambuf.types.hh b/src/c_streambuf.types.hh
deleted file mode 100644
index ece3919..0000000
--- a/src/c_streambuf.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_c_streambuf_types_hh
-#define PPL_c_streambuf_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class c_streambuf;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_c_streambuf_types_hh)
diff --git a/src/c_streambuf_defs.hh b/src/c_streambuf_defs.hh
new file mode 100644
index 0000000..0bbf9e6
--- /dev/null
+++ b/src/c_streambuf_defs.hh
@@ -0,0 +1,127 @@
+/* c_streambuf class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_c_streambuf_defs_hh
+#define PPL_c_streambuf_defs_hh 1
+
+#include "c_streambuf_types.hh"
+#include <streambuf>
+#include <cstddef>
+
+class Parma_Polyhedra_Library::c_streambuf
+ : public std::basic_streambuf<char, std::char_traits<char> > {
+public:
+ //! Constructor.
+ c_streambuf();
+
+ //! Destructor.
+ virtual ~c_streambuf();
+
+protected:
+ /*! \brief
+ Gets a character in case of underflow.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
+ */
+ virtual int_type underflow();
+
+ /*! \brief
+ In case of underflow, gets a character and advances the next pointer.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
+ */
+ virtual int_type uflow();
+
+ /*! \brief
+ Gets a sequence of characters.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
+ */
+ virtual std::streamsize xsgetn(char_type* s, std::streamsize n);
+
+ /*! \brief
+ Puts character back in case of backup underflow.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.4.
+ */
+ virtual int_type pbackfail(int_type c = traits_type::eof());
+
+ /*! \brief
+ Writes a sequence of characters.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
+ */
+ virtual std::streamsize xsputn(const char_type* s, std::streamsize n);
+
+ /*! \brief
+ Writes a character in case of overflow.
+
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
+ */
+ virtual int_type overflow(int_type c);
+
+ /*! \brief
+ Synchronizes the stream buffer.
+
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.2.
+ */
+ virtual int sync();
+
+private:
+ //! Character type of the streambuf.
+ typedef char char_type;
+
+ //! Traits type of the streambuf.
+ typedef std::char_traits<char_type> traits_type;
+
+ //! Integer type of the streambuf.
+ typedef traits_type::int_type int_type;
+
+ //! Buffer for the last character read.
+ int_type unget_char_buf;
+
+ //! Buffer for next character
+ int_type next_char_buf;
+
+ virtual size_t cb_read(char *, size_t) {
+ return 0;
+ }
+ virtual size_t cb_write(const char *, size_t) {
+ return 0;
+ }
+ virtual int cb_sync() {
+ return 0;
+ }
+ virtual int cb_flush() {
+ return 0;
+ }
+};
+
+#include "c_streambuf_inlines.hh"
+
+#endif // !defined(PPL_c_streambuf_defs_hh)
diff --git a/src/c_streambuf_inlines.hh b/src/c_streambuf_inlines.hh
new file mode 100644
index 0000000..5cc069a
--- /dev/null
+++ b/src/c_streambuf_inlines.hh
@@ -0,0 +1,40 @@
+/* c_streambuf class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_c_streambuf_inlines_hh
+#define PPL_c_streambuf_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+c_streambuf::c_streambuf()
+ : unget_char_buf(traits_type::eof()), next_char_buf(traits_type::eof()) {
+}
+
+inline
+c_streambuf::~c_streambuf() {
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_c_streambuf_inlines_hh)
diff --git a/src/c_streambuf_types.hh b/src/c_streambuf_types.hh
new file mode 100644
index 0000000..c5bad41
--- /dev/null
+++ b/src/c_streambuf_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_c_streambuf_types_hh
+#define PPL_c_streambuf_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class c_streambuf;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_c_streambuf_types_hh)
diff --git a/src/checked.cc b/src/checked.cc
index bd6c118..3cbc4ba 100644
--- a/src/checked.cc
+++ b/src/checked.cc
@@ -1,6 +1,6 @@
/* Helper functions for checked numbers.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "checked.defs.hh"
+#include "checked_defs.hh"
#include "C_Integer.hh"
namespace Parma_Polyhedra_Library {
@@ -294,7 +294,7 @@ parse_number_part(std::istream& is, number_struct& numer) {
is.unget();
goto ok;
case EXPONENT:
- int d = get_digit(c, 10);
+ const int d = get_digit(c, 10);
if (d >= 0) {
empty_exponent = false;
if (numer.exponent > max_exp_div
@@ -339,10 +339,10 @@ parse_number_part(std::istream& is, number_struct& numer) {
return V_CVT_STR_UNK;
}
-/* \brief
- Reads a number from \p is writing it into \p numer, the numerator,
- and \p denom, the denominator; the appropriate Result value is
- returned.
+/*! \brief
+ Reads a number from \p is writing it into \p numer, the numerator,
+ and \p denom, the denominator; the appropriate Result value is
+ returned.
*/
Result
parse_number(std::istream& is, number_struct& numer, number_struct& denom) {
@@ -388,7 +388,7 @@ Result
input_mpq(mpq_class& to, std::istream& is) {
number_struct numer_struct;
number_struct denom_struct;
- Result r = parse_number(is, numer_struct, denom_struct);
+ const Result r = parse_number(is, numer_struct, denom_struct);
if (r == V_CVT_STR_UNK) {
is.setstate(is.failbit);
return r;
@@ -402,8 +402,8 @@ input_mpq(mpq_class& to, std::istream& is) {
to = 0;
return V_EQ;
}
- mpz_ptr numer = to.get_num().get_mpz_t();
- mpz_ptr denom = to.get_den().get_mpz_t();
+ const mpz_ptr numer = to.get_num().get_mpz_t();
+ const mpz_ptr denom = to.get_den().get_mpz_t();
mpz_set_str(numer, numer_struct.mantissa.c_str(),
static_cast<int>(numer_struct.base));
if (denom_struct.base != 0) {
@@ -463,9 +463,9 @@ input_mpq(mpq_class& to, std::istream& is) {
/* NOTE: q is overwritten! */
std::string float_mpq_to_string(mpq_class& q) {
- mpz_ptr n = q.get_num().get_mpz_t();
- mpz_ptr d = q.get_den().get_mpz_t();
- unsigned long decimals = mpz_sizeinbase(d, 2) - 1;
+ const mpz_ptr n = q.get_num().get_mpz_t();
+ const mpz_ptr d = q.get_den().get_mpz_t();
+ const unsigned long decimals = mpz_sizeinbase(d, 2) - 1;
if (decimals != 0) {
mpz_ui_pow_ui(d, 5, decimals);
mpz_mul(n, n, d);
@@ -478,13 +478,13 @@ std::string float_mpq_to_string(mpq_class& q) {
char buf[bufsize];
mpz_get_str(buf, 10, n);
if (decimals != 0) {
- size_t len = strlen(buf);
+ const size_t len = strlen(buf);
if (decimals < len) {
memmove(&buf[len - decimals + 1], &buf[len - decimals], decimals + 1);
buf[len - decimals] = '.';
}
else {
- size_t zeroes = decimals - len;
+ const size_t zeroes = decimals - len;
memmove(&buf[2 + zeroes], &buf[0], len + 1);
buf[0] = '0';
buf[1] = '.';
diff --git a/src/checked.defs.hh b/src/checked.defs.hh
deleted file mode 100644
index c04cf36..0000000
--- a/src/checked.defs.hh
+++ /dev/null
@@ -1,716 +0,0 @@
-/* Abstract checked arithmetic function container.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_defs_hh
-#define PPL_checked_defs_hh 1
-
-#include <cassert>
-#include <iostream>
-#include <gmpxx.h>
-#include "mp_std_bits.defs.hh"
-#include "Temp.defs.hh"
-#include "Rounding_Dir.defs.hh"
-#include "Numeric_Format.defs.hh"
-#include "Float.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-namespace Checked {
-
-
-// It is a pity that function partial specialization is not permitted
-// by C++. To (partly) overcome this limitation, we use class
-// encapsulated functions and partial specialization of containing
-// classes.
-
-#define PPL_FUNCTION_CLASS(name) name ## _function_struct
-
-#define PPL_DECLARE_FUN1_0_0(name, ret_type, qual, type) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg) { \
- return PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg); \
- }
-
-#define PPL_DECLARE_FUN1_0_1(name, ret_type, qual, type, after1) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg, PPL_U(after1) a1) { \
- return \
- PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg, a1); \
- }
-
-#define PPL_DECLARE_FUN1_0_2(name, ret_type, qual, type, after1, after2) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg, PPL_U(after1) a1, \
- PPL_U(after2) a2) { \
- return \
- PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg, \
- a1, a2); \
- }
-
-#define PPL_DECLARE_FUN1_0_3(name, ret_type, qual, type, \
- after1, after2, after3) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2, \
- PPL_U(after3) a3) { \
- return \
- PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg, \
- a1, a2, \
- a3); \
- }
-
-#define PPL_DECLARE_FUN1_1_1(name, ret_type, before1, qual, type, after1) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(before1) b1, PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1) { \
- return \
- PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(b1, arg, \
- a1); \
- }
-
-#define PPL_DECLARE_FUN1_1_2(name, ret_type, before1, qual, type, \
- after1, after2) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(before1) b1, PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2) { \
- return \
- PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(b1, arg, \
- a1, a2); \
- }
-
-#define PPL_DECLARE_FUN1_2_2(name, ret_type, before1, before2, qual, type, \
- after1, after2) \
- template <typename Policy, typename type> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy, typename type> \
- inline ret_type PPL_U(name)(PPL_U(before1) b1, PPL_U(before2) b2, \
- PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2) { \
- return \
- PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(b1, b2, \
- arg, \
- a1, a2); \
- }
-
-#define PPL_DECLARE_FUN2_0_0(name, ret_type, qual1, type1, qual2, type2) \
- template <typename Policy1, typename Policy2, \
- typename type1, typename type2> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy1, typename Policy2, \
- typename type1, typename type2> \
- inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2)& arg2) { \
- return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, \
- type1, PPL_U(type2)>::function(arg1, arg2); \
- }
-
-#define PPL_DECLARE_FUN2_0_1(name, ret_type, qual1, type1, \
- qual2, type2, after1) \
- template <typename Policy1, typename Policy2, \
- typename type1, typename type2> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy1, typename Policy2, \
- typename type1, typename type2> \
- inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2)& arg2, \
- PPL_U(after1) a1) { \
- return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, \
- type1, PPL_U(type2)>::function(arg1, arg2, a1); \
- }
-
-#define PPL_DECLARE_FUN2_0_2(name, ret_type, qual1, type1, qual2, type2, \
- after1, after2) \
- template <typename Policy1, typename Policy2, \
- typename type1, typename type2> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy1, typename Policy2, \
- typename type1, typename type2> \
- inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2)& arg2, \
- PPL_U(after1) a1, PPL_U(after2) a2) { \
- return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, \
- type1, PPL_U(type2)>::function(arg1, arg2, a1, a2); \
- }
-
-#define PPL_DECLARE_FUN3_0_1(name, ret_type, qual1, type1, \
- qual2, type2, qual3, type3, after1) \
- template <typename Policy1, typename Policy2, typename Policy3, \
- typename type1, typename type2, typename type3> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy1, typename Policy2, typename Policy3, \
- typename type1, typename type2, typename type3> \
- inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2)& arg2, \
- PPL_U(qual3) PPL_U(type3)& arg3, \
- PPL_U(after1) a1) { \
- return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, Policy3, \
- type1, type2, PPL_U(type3)> \
- ::function(arg1, arg2, arg3, a1); \
- }
-
-#define PPL_DECLARE_FUN5_0_1(name, ret_type, \
- qual1, type1, qual2, type2, qual3, type3, \
- qual4, type4, qual5, type5, \
- after1) \
- template <typename Policy1, typename Policy2, typename Policy3, \
- typename Policy4,typename Policy5, \
- typename type1, typename type2, typename type3, \
- typename type4, typename type5> \
- struct PPL_FUNCTION_CLASS(name); \
- template <typename Policy1, typename Policy2, typename Policy3, \
- typename Policy4,typename Policy5, \
- typename type1, typename type2, typename type3, \
- typename type4, typename type5> \
- inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, PPL_U(qual2) \
- PPL_U(type2)& arg2, \
- PPL_U(qual3) PPL_U(type3)& arg3, PPL_U(qual4) \
- PPL_U(type4)& arg4, \
- PPL_U(qual5) PPL_U(type5)& arg5, \
- PPL_U(after1) a1) { \
- return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, Policy3, \
- Policy4, Policy5, \
- type1, type2, \
- type3, type4, \
- PPL_U(type5)> \
- ::function(arg1, arg2, arg3, arg4, arg5, a1); \
- }
-
-#define PPL_SPECIALIZE_FUN1_0_0(name, func, ret_type, qual, type) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(qual) PPL_U(type)& arg) { \
- return PPL_U(func)<Policy>(arg); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN1_0_1(name, func, ret_type, qual, type, after1) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1) { \
- return PPL_U(func)<Policy>(arg, a1); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN1_0_2(name, func, ret_type, qual, type, \
- after1, after2) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2) \
- { \
- return PPL_U(func)<Policy>(arg, a1, a2); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN1_0_3(name, func, ret_type, qual, type, \
- after1, after2, after3) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2, \
- PPL_U(after3) a3) { \
- return PPL_U(func)<Policy>(arg, a1, a2, a3); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN1_1_1(name, func, ret_type, before1, \
- qual, type, after1) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(before1) b1, PPL_U(qual) \
- PPL_U(type)& arg, \
- PPL_U(after1) a1) { \
- return PPL_U(func)<Policy>(b1, arg, a1); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN1_1_2(name, func, ret_type, before1, \
- qual, type, after1, after2) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(before1) b1, PPL_U(qual) \
- PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2) \
- { \
- return PPL_U(func)<Policy>(b1, arg, a1, a2); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN1_2_2(name, func, ret_type, before1, before2, \
- qual, type, after1, after2) \
- template <typename Policy> \
- struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
- static inline ret_type function(PPL_U(before1) b1, PPL_U(before2) b2, \
- PPL_U(qual) PPL_U(type)& arg, \
- PPL_U(after1) a1, PPL_U(after2) a2) \
- { \
- return PPL_U(func)<Policy>(b1, b2, arg, a1, a2); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN2_0_0(name, func, ret_type, qual1, type1, \
- qual2, type2) \
- template <typename Policy1, typename Policy2> \
- struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
- PPL_U(type2)> { \
- static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2) &arg2) { \
- return PPL_U(func)<Policy1, Policy2>(arg1, arg2); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN2_0_1(name, func, ret_type, qual1, type1, \
- qual2, type2, after1) \
- template <typename Policy1, typename Policy2> \
- struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
- PPL_U(type2)> { \
- static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2) &arg2, \
- PPL_U(after1) a1) { \
- return PPL_U(func)<Policy1, Policy2>(arg1, arg2, a1); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN2_0_2(name, func, ret_type, qual1, type1, \
- qual2, type2, after1, after2) \
- template <typename Policy1, typename Policy2> \
- struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
- PPL_U(type2)> { \
- static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2) &arg2, \
- PPL_U(after1) a1, PPL_U(after2) a2) \
- { \
- return PPL_U(func)<Policy1, Policy2>(arg1, arg2, a1, a2); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN3_0_1(name, func, ret_type, qual1, type1, \
- qual2, type2, qual3, type3, after1) \
- template <typename Policy1, typename Policy2, typename Policy3> \
- struct PPL_FUNCTION_CLASS(name) <Policy1, Policy2, Policy3, \
- type1, type2, \
- PPL_U(type3)> { \
- static inline Result function(PPL_U(qual1) PPL_U(type1)& arg1, \
- PPL_U(qual2) PPL_U(type2) &arg2, \
- PPL_U(qual3) PPL_U(type3) &arg3, \
- PPL_U(after1) a1) { \
- return PPL_U(func)<Policy1, Policy2, Policy3>(arg1, arg2, arg3, \
- a1); \
- } \
- };
-
-#define PPL_SPECIALIZE_FUN5_0_1(name, func, ret_type, \
- qual1, type1, qual2, type2, \
- qual3, type3, \
- qual4, type4, qual5, type5, after1) \
- template <typename Policy1, typename Policy2, typename Policy3, \
- typename Policy4, typename Policy5> \
- struct PPL_FUNCTION_CLASS(name) <Policy1, Policy2, Policy3, Policy4, \
- Policy5, \
- type1, type2, \
- type3, type4, \
- PPL_U(type5)> { \
- static inline Result \
- function(PPL_U(qual1) PPL_U(type1)& arg1, PPL_U(qual2) \
- PPL_U(type2) &arg2, \
- PPL_U(qual3) PPL_U(type3) &arg3, PPL_U(qual4) \
- PPL_U(type4) &arg4, \
- PPL_U(qual5) PPL_U(type5) &arg5, PPL_U(after1) a1) { \
- return PPL_U(func)<Policy1, Policy2, Policy3, Policy4, \
- Policy5>(arg1, arg2, arg3, arg4, arg5, a1); \
- } \
- };
-
-// The `nonconst' macro helps readability of the sequel.
-#ifdef nonconst
-#define PPL_SAVED_nonconst nonconst
-#undef nonconst
-#endif
-#define nonconst
-
-#define PPL_SPECIALIZE_COPY(func, Type) \
- PPL_SPECIALIZE_FUN2_0_0(copy, func, void, nonconst, Type, const, Type)
-#define PPL_SPECIALIZE_SGN(func, From) \
- PPL_SPECIALIZE_FUN1_0_0(sgn, func, Result_Relation, const, From)
-#define PPL_SPECIALIZE_CMP(func, Type1, Type2) \
- PPL_SPECIALIZE_FUN2_0_0(cmp, func, Result_Relation, const, Type1, const, Type2)
-#define PPL_SPECIALIZE_CLASSIFY(func, Type) \
- PPL_SPECIALIZE_FUN1_0_3(classify, func, Result, const, Type, bool, bool, bool)
-#define PPL_SPECIALIZE_IS_NAN(func, Type) \
- PPL_SPECIALIZE_FUN1_0_0(is_nan, func, bool, const, Type)
-#define PPL_SPECIALIZE_IS_MINF(func, Type) \
- PPL_SPECIALIZE_FUN1_0_0(is_minf, func, bool, const, Type)
-#define PPL_SPECIALIZE_IS_PINF(func, Type) \
- PPL_SPECIALIZE_FUN1_0_0(is_pinf, func, bool, const, Type)
-#define PPL_SPECIALIZE_IS_INT(func, Type) \
- PPL_SPECIALIZE_FUN1_0_0(is_int, func, bool, const, Type)
-#define PPL_SPECIALIZE_ASSIGN_SPECIAL(func, Type) \
- PPL_SPECIALIZE_FUN1_0_2(assign_special, func, Result, \
- nonconst, Type, Result_Class, Rounding_Dir)
-#define PPL_SPECIALIZE_CONSTRUCT_SPECIAL(func, Type) \
- PPL_SPECIALIZE_FUN1_0_2(construct_special, func, Result, nonconst, \
- Type, Result_Class, Rounding_Dir)
-#define PPL_SPECIALIZE_CONSTRUCT(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(construct, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_ASSIGN(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(assign, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_FLOOR(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(floor, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_CEIL(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(ceil, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_TRUNC(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(trunc, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_NEG(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(neg, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_ABS(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(abs, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_SQRT(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_1(sqrt, func, Result, nonconst, To, \
- const, From, Rounding_Dir)
-#define PPL_SPECIALIZE_ADD(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(add, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_SUB(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(sub, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_MUL(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(mul, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_DIV(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(div, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_REM(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(rem, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_IDIV(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(idiv, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_ADD_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(add_2exp, func, Result, nonconst, To, \
- const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_SUB_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(sub_2exp, func, Result, nonconst, To, \
- const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_MUL_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(mul_2exp, func, Result, nonconst, To, \
- const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_DIV_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(div_2exp, func, Result, nonconst, To, \
- const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_SMOD_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(smod_2exp, func, Result, nonconst, To, \
- const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_UMOD_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(umod_2exp, func, Result, nonconst, To, \
- const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_ADD_MUL(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(add_mul, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_SUB_MUL(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(sub_mul, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_GCD(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(gcd, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_GCDEXT(func, To1, From1, From2, To2, To3) \
- PPL_SPECIALIZE_FUN5_0_1(gcdext, func, Result, nonconst, To1, \
- nonconst, To2, nonconst, To3, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_LCM(func, To, From1, From2) \
- PPL_SPECIALIZE_FUN3_0_1(lcm, func, Result, nonconst, To, \
- const, From1, const, From2, Rounding_Dir)
-#define PPL_SPECIALIZE_INPUT(func, Type) \
- PPL_SPECIALIZE_FUN1_0_2(input, func, Result, nonconst, Type, \
- std::istream&, Rounding_Dir)
-#define PPL_SPECIALIZE_OUTPUT(func, Type) \
- PPL_SPECIALIZE_FUN1_1_2(output, func, Result, std::ostream&, \
- const, Type, \
- const Numeric_Format&, Rounding_Dir)
-
-
-PPL_DECLARE_FUN2_0_0(copy,
- void, nonconst, Type1, const, Type2)
-PPL_DECLARE_FUN1_0_0(sgn,
- Result_Relation, const, From)
-PPL_DECLARE_FUN2_0_0(cmp,
- Result_Relation, const, Type1, const, Type2)
-PPL_DECLARE_FUN1_0_3(classify,
- Result, const, Type, bool, bool, bool)
-PPL_DECLARE_FUN1_0_0(is_nan,
- bool, const, Type)
-PPL_DECLARE_FUN1_0_0(is_minf,
- bool, const, Type)
-PPL_DECLARE_FUN1_0_0(is_pinf,
- bool, const, Type)
-PPL_DECLARE_FUN1_0_0(is_int,
- bool, const, Type)
-PPL_DECLARE_FUN1_0_2(assign_special,
- Result, nonconst, Type, Result_Class, Rounding_Dir)
-PPL_DECLARE_FUN1_0_2(construct_special,
- Result, nonconst, Type, Result_Class, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(construct,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(assign,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(floor,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(ceil,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(trunc,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(neg,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(abs,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN2_0_1(sqrt,
- Result, nonconst, To, const, From, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(add,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(sub,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(mul,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(div,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(rem,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(idiv,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN2_0_2(add_2exp,
- Result, nonconst, To,
- const, From, unsigned int, Rounding_Dir)
-PPL_DECLARE_FUN2_0_2(sub_2exp,
- Result, nonconst, To,
- const, From, unsigned int, Rounding_Dir)
-PPL_DECLARE_FUN2_0_2(mul_2exp,
- Result, nonconst, To,
- const, From, unsigned int, Rounding_Dir)
-PPL_DECLARE_FUN2_0_2(div_2exp,
- Result, nonconst, To,
- const, From, unsigned int, Rounding_Dir)
-PPL_DECLARE_FUN2_0_2(smod_2exp,
- Result, nonconst, To,
- const, From, unsigned int, Rounding_Dir)
-PPL_DECLARE_FUN2_0_2(umod_2exp,
- Result, nonconst, To,
- const, From, unsigned int, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(add_mul,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(sub_mul,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(gcd,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN5_0_1(gcdext,
- Result, nonconst, To1, nonconst, To2, nonconst, To3,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN3_0_1(lcm,
- Result, nonconst, To,
- const, From1, const, From2, Rounding_Dir)
-PPL_DECLARE_FUN1_0_2(input,
- Result, nonconst, Type, std::istream&, Rounding_Dir)
-PPL_DECLARE_FUN1_1_2(output,
- Result, std::ostream&, const, Type,
- const Numeric_Format&, Rounding_Dir)
-
-#undef PPL_DECLARE_FUN1_0_0
-#undef PPL_DECLARE_FUN1_0_1
-#undef PPL_DECLARE_FUN1_0_2
-#undef PPL_DECLARE_FUN1_0_3
-#undef PPL_DECLARE_FUN1_1_1
-#undef PPL_DECLARE_FUN1_1_2
-#undef PPL_DECLARE_FUN1_2_2
-#undef PPL_DECLARE_FUN2_0_0
-#undef PPL_DECLARE_FUN2_0_1
-#undef PPL_DECLARE_FUN2_0_2
-#undef PPL_DECLARE_FUN3_0_1
-#undef PPL_DECLARE_FUN5_0_1
-
-template <typename Policy, typename To>
-Result round(To& to, Result r, Rounding_Dir dir);
-
-Result input_mpq(mpq_class& to, std::istream& is);
-
-std::string float_mpq_to_string(mpq_class& q);
-
-} // namespace Checked
-
-struct Minus_Infinity {
- static const Result_Class vclass = VC_MINUS_INFINITY;
-};
-struct Plus_Infinity {
- static const Result_Class vclass = VC_PLUS_INFINITY;
-};
-struct Not_A_Number {
- static const Result_Class vclass = VC_NAN;
-};
-
-template <typename T>
-struct Is_Special : public False { };
-
-template <>
-struct Is_Special<Minus_Infinity> : public True {};
-
-template <>
-struct Is_Special<Plus_Infinity> : public True {};
-
-template <>
-struct Is_Special<Not_A_Number> : public True {};
-
-extern Minus_Infinity MINUS_INFINITY;
-extern Plus_Infinity PLUS_INFINITY;
-extern Not_A_Number NOT_A_NUMBER;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-struct Checked_Number_Transparent_Policy {
- //! Do not check for overflowed result.
- const_bool_nodef(check_overflow, false);
-
- //! Do not check for attempts to add infinities with different sign.
- const_bool_nodef(check_inf_add_inf, false);
-
- //! Do not check for attempts to subtract infinities with same sign.
- const_bool_nodef(check_inf_sub_inf, false);
-
- //! Do not check for attempts to multiply infinities by zero.
- const_bool_nodef(check_inf_mul_zero, false);
-
- //! Do not check for attempts to divide by zero.
- const_bool_nodef(check_div_zero, false);
-
- //! Do not check for attempts to divide infinities.
- const_bool_nodef(check_inf_div_inf, false);
-
- //! Do not check for attempts to compute remainder of infinities.
- const_bool_nodef(check_inf_mod, false);
-
- //! Do not check for attempts to take the square root of a negative number.
- const_bool_nodef(check_sqrt_neg, false);
-
- //! Handle not-a-number special value if \p T has it.
- const_bool_nodef(has_nan, std::numeric_limits<T>::has_quiet_NaN);
-
- //! Handle infinity special values if \p T have them.
- const_bool_nodef(has_infinity, std::numeric_limits<T>::has_infinity);
-
- /*! \brief
- The checked number can always be safely converted to the
- underlying type \p T and vice-versa.
- */
- const_bool_nodef(convertible, true);
-
- //! Do not honor requests to check for FPU inexact results.
- const_bool_nodef(fpu_check_inexact, false);
-
- //! Do not make extra checks to detect FPU NaN results.
- const_bool_nodef(fpu_check_nan_result, false);
-
- /*! \brief
- For constructors, by default use the same rounding used by
- underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_CONSTRUCTOR = ROUND_NATIVE;
-
- /*! \brief
- For overloaded operators (operator+(), operator-(), ...), by
- default use the same rounding used by the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_OPERATOR = ROUND_NATIVE;
-
- /*! \brief
- For input functions, by default use the same rounding used by
- the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_INPUT = ROUND_NATIVE;
-
- /*! \brief
- For output functions, by default use the same rounding used by
- the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_OUTPUT = ROUND_NATIVE;
-
- /*! \brief
- For all other functions, by default use the same rounding used by
- the underlying type.
- */
- static const Rounding_Dir ROUND_DEFAULT_FUNCTION = ROUND_NATIVE;
-
- /*! \brief
- Handles \p r: called by all constructors, operators and functions that
- do not return a Result value.
- */
- static void handle_result(Result r);
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#define CHECK_P(cond, check) ((cond) ? (check) : (assert(!(check)), false))
-
-#include "checked.inlines.hh"
-#include "checked_int.inlines.hh"
-#include "checked_float.inlines.hh"
-#include "checked_mpz.inlines.hh"
-#include "checked_mpq.inlines.hh"
-#include "checked_ext.inlines.hh"
-
-#undef nonconst
-#ifdef PPL_SAVED_nonconst
-#define nonconst PPL_SAVED_nonconst
-#undef PPL_SAVED_nonconst
-#endif
-
-#undef PPL_FUNCTION_CLASS
-#undef PPL_NAN
-
-#endif // !defined(PPL_checked_defs_hh)
diff --git a/src/checked.inlines.hh b/src/checked.inlines.hh
deleted file mode 100644
index 44eea27..0000000
--- a/src/checked.inlines.hh
+++ /dev/null
@@ -1,658 +0,0 @@
-/* Abstract checked arithmetic functions: fall-backs.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_inlines_hh
-#define PPL_checked_inlines_hh 1
-
-#include "globals.types.hh"
-#include "meta_programming.hh"
-#include "C_Integer.hh"
-#include "assert.hh"
-
-/*! \brief
- Performs the test <CODE>a < b</CODE> avoiding the warning about the
- comparison being always false due to limited range of data type.
- FIXME: we have not found a working solution. The GCC option
- -Wno-type-limits suppresses the warning
-*/
-#define PPL_LT_SILENT(a, b) ((a) < (b))
-#define PPL_GT_SILENT(a, b) ((a) > (b))
-
-namespace Parma_Polyhedra_Library {
-
-namespace Checked {
-
-template <typename T1, typename T2>
-struct Safe_Conversion : public False {
-};
-template <typename T>
-struct Safe_Conversion<T, T> : public True {
-};
-
-#define PPL_SAFE_CONVERSION(To, From) \
- template <> struct Safe_Conversion<PPL_U(To), PPL_U(From)> \
- : public True { }
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed short, char);
-#endif
-PPL_SAFE_CONVERSION(signed short, signed char);
-#if PPL_SIZEOF_CHAR < PPL_SIZEOF_SHORT
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed short, char);
-#endif
-PPL_SAFE_CONVERSION(signed short, unsigned char);
-#endif
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed int, char);
-#endif
-PPL_SAFE_CONVERSION(signed int, signed char);
-PPL_SAFE_CONVERSION(signed int, signed short);
-#if PPL_SIZEOF_CHAR < PPL_SIZEOF_INT
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed int, char);
-#endif
-PPL_SAFE_CONVERSION(signed int, unsigned char);
-#endif
-#if PPL_SIZEOF_SHORT < PPL_SIZEOF_INT
-PPL_SAFE_CONVERSION(signed int, unsigned short);
-#endif
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed long, char);
-#endif
-PPL_SAFE_CONVERSION(signed long, signed char);
-PPL_SAFE_CONVERSION(signed long, signed short);
-PPL_SAFE_CONVERSION(signed long, signed int);
-#if PPL_SIZEOF_CHAR < PPL_SIZEOF_LONG
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed long, char);
-#endif
-PPL_SAFE_CONVERSION(signed long, unsigned char);
-#endif
-#if PPL_SIZEOF_SHORT < PPL_SIZEOF_LONG
-PPL_SAFE_CONVERSION(signed long, unsigned short);
-#endif
-#if PPL_SIZEOF_INT < PPL_SIZEOF_LONG
-PPL_SAFE_CONVERSION(signed long, unsigned int);
-#endif
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed long long, char);
-#endif
-PPL_SAFE_CONVERSION(signed long long, signed char);
-PPL_SAFE_CONVERSION(signed long long, signed short);
-PPL_SAFE_CONVERSION(signed long long, signed int);
-PPL_SAFE_CONVERSION(signed long long, signed long);
-#if PPL_SIZEOF_CHAR < PPL_SIZEOF_LONG_LONG
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(signed long long, char);
-#endif
-PPL_SAFE_CONVERSION(signed long long, unsigned char);
-#endif
-#if PPL_SIZEOF_SHORT < PPL_SIZEOF_LONG_LONG
-PPL_SAFE_CONVERSION(signed long long, unsigned short);
-#endif
-#if PPL_SIZEOF_INT < PPL_SIZEOF_LONG_LONG
-PPL_SAFE_CONVERSION(signed long long, unsigned int);
-#endif
-#if PPL_SIZEOF_LONG < PPL_SIZEOF_LONG_LONG
-PPL_SAFE_CONVERSION(signed long long, unsigned long);
-#endif
-
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(unsigned short, char);
-#endif
-PPL_SAFE_CONVERSION(unsigned short, unsigned char);
-
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(unsigned int, char);
-#endif
-PPL_SAFE_CONVERSION(unsigned int, unsigned char);
-PPL_SAFE_CONVERSION(unsigned int, unsigned short);
-
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(unsigned long, char);
-#endif
-PPL_SAFE_CONVERSION(unsigned long, unsigned char);
-PPL_SAFE_CONVERSION(unsigned long, unsigned short);
-PPL_SAFE_CONVERSION(unsigned long, unsigned int);
-
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SAFE_CONVERSION(unsigned long long, char);
-#endif
-PPL_SAFE_CONVERSION(unsigned long long, unsigned char);
-PPL_SAFE_CONVERSION(unsigned long long, unsigned short);
-PPL_SAFE_CONVERSION(unsigned long long, unsigned int);
-PPL_SAFE_CONVERSION(unsigned long long, unsigned long);
-
-
-#if PPL_SIZEOF_CHAR <= PPL_SIZEOF_FLOAT - 2
-PPL_SAFE_CONVERSION(float, char);
-PPL_SAFE_CONVERSION(float, signed char);
-PPL_SAFE_CONVERSION(float, unsigned char);
-#endif
-#if PPL_SIZEOF_SHORT <= PPL_SIZEOF_FLOAT - 2
-PPL_SAFE_CONVERSION(float, signed short);
-PPL_SAFE_CONVERSION(float, unsigned short);
-#endif
-#if PPL_SIZEOF_INT <= PPL_SIZEOF_FLOAT - 2
-PPL_SAFE_CONVERSION(float, signed int);
-PPL_SAFE_CONVERSION(float, unsigned int);
-#endif
-#if PPL_SIZEOF_LONG <= PPL_SIZEOF_FLOAT - 2
-PPL_SAFE_CONVERSION(float, signed long);
-PPL_SAFE_CONVERSION(float, unsigned long);
-#endif
-#if PPL_SIZEOF_LONG_LONG <= PPL_SIZEOF_FLOAT - 2
-PPL_SAFE_CONVERSION(float, signed long long);
-PPL_SAFE_CONVERSION(float, unsigned long long);
-#endif
-
-#if PPL_SIZEOF_CHAR <= PPL_SIZEOF_DOUBLE - 4
-PPL_SAFE_CONVERSION(double, char);
-PPL_SAFE_CONVERSION(double, signed char);
-PPL_SAFE_CONVERSION(double, unsigned char);
-#endif
-#if PPL_SIZEOF_SHORT <= PPL_SIZEOF_DOUBLE - 4
-PPL_SAFE_CONVERSION(double, signed short);
-PPL_SAFE_CONVERSION(double, unsigned short);
-#endif
-#if PPL_SIZEOF_INT <= PPL_SIZEOF_DOUBLE - 4
-PPL_SAFE_CONVERSION(double, signed int);
-PPL_SAFE_CONVERSION(double, unsigned int);
-#endif
-#if PPL_SIZEOF_LONG <= PPL_SIZEOF_DOUBLE - 4
-PPL_SAFE_CONVERSION(double, signed long);
-PPL_SAFE_CONVERSION(double, unsigned long);
-#endif
-#if PPL_SIZEOF_LONG_LONG <= PPL_SIZEOF_DOUBLE - 4
-PPL_SAFE_CONVERSION(double, signed long long);
-PPL_SAFE_CONVERSION(double, unsigned long long);
-#endif
-PPL_SAFE_CONVERSION(double, float);
-
-#if PPL_SIZEOF_CHAR <= PPL_SIZEOF_LONG_DOUBLE - 4
-PPL_SAFE_CONVERSION(long double, char);
-PPL_SAFE_CONVERSION(long double, signed char);
-PPL_SAFE_CONVERSION(long double, unsigned char);
-#endif
-#if PPL_SIZEOF_SHORT <= PPL_SIZEOF_LONG_DOUBLE - 4
-PPL_SAFE_CONVERSION(long double, signed short);
-PPL_SAFE_CONVERSION(long double, unsigned short);
-#endif
-#if PPL_SIZEOF_INT <= PPL_SIZEOF_LONG_DOUBLE - 4
-PPL_SAFE_CONVERSION(long double, signed int);
-PPL_SAFE_CONVERSION(long double, unsigned int);
-#endif
-#if PPL_SIZEOF_LONG <= PPL_SIZEOF_LONG_DOUBLE - 4
-PPL_SAFE_CONVERSION(long double, signed long);
-PPL_SAFE_CONVERSION(long double, unsigned long);
-#endif
-#if PPL_SIZEOF_LONG_LONG <= PPL_SIZEOF_LONG_DOUBLE - 4
-PPL_SAFE_CONVERSION(long double, signed long long);
-PPL_SAFE_CONVERSION(long double, unsigned long long);
-#endif
-PPL_SAFE_CONVERSION(long double, float);
-PPL_SAFE_CONVERSION(long double, double);
-
-PPL_SAFE_CONVERSION(mpz_class, char);
-PPL_SAFE_CONVERSION(mpz_class, signed char);
-PPL_SAFE_CONVERSION(mpz_class, signed short);
-PPL_SAFE_CONVERSION(mpz_class, signed int);
-PPL_SAFE_CONVERSION(mpz_class, signed long);
-// GMP's API does not support signed long long.
-PPL_SAFE_CONVERSION(mpz_class, unsigned char);
-PPL_SAFE_CONVERSION(mpz_class, unsigned short);
-PPL_SAFE_CONVERSION(mpz_class, unsigned int);
-PPL_SAFE_CONVERSION(mpz_class, unsigned long);
-// GMP's API does not support unsigned long long.
-
-PPL_SAFE_CONVERSION(mpq_class, char);
-PPL_SAFE_CONVERSION(mpq_class, signed char);
-PPL_SAFE_CONVERSION(mpq_class, signed short);
-PPL_SAFE_CONVERSION(mpq_class, signed int);
-PPL_SAFE_CONVERSION(mpq_class, signed long);
-// GMP's API does not support signed long long.
-PPL_SAFE_CONVERSION(mpq_class, unsigned char);
-PPL_SAFE_CONVERSION(mpq_class, unsigned short);
-PPL_SAFE_CONVERSION(mpq_class, unsigned int);
-PPL_SAFE_CONVERSION(mpq_class, unsigned long);
-// GMP's API does not support unsigned long long.
-PPL_SAFE_CONVERSION(mpq_class, float);
-PPL_SAFE_CONVERSION(mpq_class, double);
-// GMP's API does not support long double.
-
-#undef PPL_SAFE_CONVERSION
-
-template <typename Policy, typename Type>
-struct PPL_FUNCTION_CLASS(construct)<Policy, Policy, Type, Type> {
- static inline Result function(Type& to, const Type& from, Rounding_Dir) {
- new (&to) Type(from);
- return V_EQ;
- }
-};
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-struct PPL_FUNCTION_CLASS(construct) {
- static inline Result function(To& to, const From& from, Rounding_Dir dir) {
- new (&to) To();
- return assign<To_Policy, From_Policy>(to, from, dir);
- }
-};
-
-template <typename To_Policy, typename To>
-struct PPL_FUNCTION_CLASS(construct_special) {
- static inline Result function(To& to, Result_Class r, Rounding_Dir dir) {
- new (&to) To();
- return assign_special<To_Policy>(to, r, dir);
- }
-};
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_exact(To& to, const From& from, Rounding_Dir) {
- to = from;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline typename Enable_If<Is_Same<To_Policy, From_Policy>::value, void>::type
-copy_generic(Type& to, const Type& from) {
- to = from;
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-abs_generic(To& to, const From& from, Rounding_Dir dir) {
- if (from < 0)
- return neg<To_Policy, From_Policy>(to, from, dir);
- else
- return assign<To_Policy, From_Policy>(to, from, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From>
-inline void
-gcd_exact_no_abs(To& to, const From& x, const From& y) {
- To w_x = x;
- To w_y = y;
- To remainder;
- while (w_y != 0) {
- // The following is derived from the assumption that w_x % w_y
- // is always representable. This is true for both native integers
- // and IEC 559 floating point numbers.
- rem<To_Policy, From1_Policy, From2_Policy>(remainder, w_x, w_y,
- ROUND_NOT_NEEDED);
- w_x = w_y;
- w_y = remainder;
- }
- to = w_x;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- gcd_exact_no_abs<To_Policy, From1_Policy, From2_Policy>(to, x, y);
- return abs<To_Policy, To_Policy>(to, to, dir);
-}
-
-template <typename To1_Policy, typename To2_Policy, typename To3_Policy,
- typename From1_Policy, typename From2_Policy,
- typename To1, typename To2, typename To3,
- typename From1, typename From2>
-inline Result
-gcdext_exact(To1& to, To2& s, To3& t, const From1& x, const From2& y,
- Rounding_Dir dir) {
- // In case this becomes a bottleneck, we may consider using the
- // Stehle'-Zimmermann algorithm (see R. Crandall and C. Pomerance,
- // Prime Numbers - A Computational Perspective, Second Edition,
- // Springer, 2005).
- if (y == 0) {
- if (x == 0) {
- s = 0;
- t = 1;
- return V_EQ;
- }
- else {
- if (x < 0)
- s = -1;
- else
- s = 1;
- t = 0;
- return abs<To1_Policy, From1_Policy>(to, x, dir);
- }
- }
-
- s = 1;
- t = 0;
- bool negative_x = x < 0;
- bool negative_y = y < 0;
-
- Result r;
- r = abs<To1_Policy, From1_Policy>(to, x, dir);
- if (r != V_EQ)
- return r;
-
- From2 a_y;
- r = abs<To1_Policy, From2_Policy>(a_y, y, dir);
- if (r != V_EQ)
- return r;
-
- // If PPL_MATCH_GMP_GCDEXT is defined then s is favored when the absolute
- // values of the given numbers are equal. For instance if x and y
- // are both 5 then s will be 1 and t will be 0, instead of the other
- // way round. This is to match the behavior of GMP.
-#define PPL_MATCH_GMP_GCDEXT 1
-#ifdef PPL_MATCH_GMP_GCDEXT
- if (to == a_y)
- goto sign_check;
-#endif
-
- {
- To2 v1 = 0;
- To3 v2 = 1;
- To1 v3 = static_cast<To1>(a_y);
- while (true) {
- To1 q = to / v3;
- // Remainder, next candidate GCD.
- To1 t3 = to - q*v3;
- To2 t1 = s - static_cast<To2>(q)*v1;
- To3 t2 = t - static_cast<To3>(q)*v2;
- s = v1;
- t = v2;
- to = v3;
- if (t3 == 0)
- break;
- v1 = t1;
- v2 = t2;
- v3 = t3;
- }
- }
-
-#ifdef PPL_MATCH_GMP_GCDEXT
- sign_check:
-#endif
- if (negative_x) {
- r = neg<To2_Policy, To2_Policy>(s, s, dir);
- if (r != V_EQ)
- return r;
- }
- if (negative_y)
- return neg<To3_Policy, To3_Policy>(t, t, dir);
- return V_EQ;
-#undef PPL_MATCH_GMP_GCDEXT
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-lcm_gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (x == 0 || y == 0) {
- to = 0;
- return V_EQ;
- }
- To a_x;
- To a_y;
- Result r;
- r = abs<From1_Policy, From1_Policy>(a_x, x, dir);
- if (r != V_EQ)
- return r;
- r = abs<From2_Policy, From2_Policy>(a_y, y, dir);
- if (r != V_EQ)
- return r;
- To gcd;
- gcd_exact_no_abs<To_Policy, From1_Policy, From2_Policy>(gcd, a_x, a_y);
- // The following is derived from the assumption that a_x / gcd(a_x, a_y)
- // is always representable. This is true for both native integers
- // and IEC 559 floating point numbers.
- div<To_Policy, From1_Policy, To_Policy>(to, a_x, gcd, ROUND_NOT_NEEDED);
- return mul<To_Policy, To_Policy, From2_Policy>(to, to, a_y, dir);
-}
-
-template <typename Policy, typename Type>
-inline Result_Relation
-sgn_generic(const Type& x) {
- if (x > 0)
- return VR_GT;
- if (x == 0)
- return VR_EQ;
- return VR_LT;
-}
-
-template <typename T1, typename T2, typename Enable = void>
-struct Safe_Int_Comparison : public False {
-};
-
-template <typename T1, typename T2>
-struct Safe_Int_Comparison<T1, T2, typename Enable_If<(C_Integer<T1>::value && C_Integer<T2>::value)>::type>
- : public Bool<(C_Integer<T1>::is_signed
- ? (C_Integer<T2>::is_signed
- || sizeof(T2) < sizeof(T1)
- || sizeof(T2) < sizeof(int))
- : (!C_Integer<T2>::is_signed
- || sizeof(T1) < sizeof(T2)
- || sizeof(T1) < sizeof(int)))> {
-};
-
-
-template <typename T1, typename T2>
-inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
- || Safe_Conversion<T1, T2>::value
- || Safe_Conversion<T2, T1>::value), bool>::type
-lt(const T1& x, const T2& y) {
- return x < y;
-}
-template <typename T1, typename T2>
-inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
- || Safe_Conversion<T1, T2>::value
- || Safe_Conversion<T2, T1>::value), bool>::type
-le(const T1& x, const T2& y) {
- return x <= y;
-}
-template <typename T1, typename T2>
-inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
- || Safe_Conversion<T1, T2>::value
- || Safe_Conversion<T2, T1>::value), bool>::type
-eq(const T1& x, const T2& y) {
- return x == y;
-}
-
-template <typename S, typename U>
-inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
-lt(const S& x, const U& y) {
- return x < 0 || static_cast<typename C_Integer<S>::other_type>(x) < y;
-}
-
-template <typename U, typename S>
-inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
-lt(const U& x, const S& y) {
- return y >= 0 && x < static_cast<typename C_Integer<S>::other_type>(y);
-}
-
-template <typename S, typename U>
-inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
-le(const S& x, const U& y) {
- return x < 0 || static_cast<typename C_Integer<S>::other_type>(x) <= y;
-}
-
-template <typename U, typename S>
-inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
-le(const U& x, const S& y) {
- return y >= 0 && x <= static_cast<typename C_Integer<S>::other_type>(y);
-}
-
-template <typename S, typename U>
-inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
-eq(const S& x, const U& y) {
- return x >= 0 && static_cast<typename C_Integer<S>::other_type>(x) == y;
-}
-
-template <typename U, typename S>
-inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
-eq(const U& x, const S& y) {
- return y >= 0 && x == static_cast<typename C_Integer<S>::other_type>(y);
-}
-
-template <typename T1, typename T2>
-inline typename Enable_If<(!Safe_Conversion<T1, T2>::value
- && !Safe_Conversion<T2, T1>::value
- && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
-eq(const T1& x, const T2& y) {
- PPL_DIRTY_TEMP(T1, tmp);
- Result r = assign_r(tmp, y, ROUND_CHECK);
- // FIXME: We can do this also without fpu inexact check using a
- // conversion back and forth and then testing equality. We should
- // code this in checked_float.inlines.hh, probably it's faster also
- // if fpu supports inexact check.
- PPL_ASSERT(r != V_LE && r != V_GE && r != V_LGE);
- return r == V_EQ && x == tmp;
-}
-
-template <typename T1, typename T2>
-inline typename Enable_If<(!Safe_Conversion<T1, T2>::value
- && !Safe_Conversion<T2, T1>::value
- && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
-lt(const T1& x, const T2& y) {
- PPL_DIRTY_TEMP(T1, tmp);
- Result r = assign_r(tmp, y, ROUND_UP);
- if (!result_representable(r))
- return true;
- switch (result_relation(r)) {
- case VR_EQ:
- case VR_LT:
- case VR_LE:
- return x < tmp;
- default:
- return false;
- }
-}
-
-template <typename T1, typename T2>
-inline typename
-Enable_If<(!Safe_Conversion<T1, T2>::value
- && !Safe_Conversion<T2, T1>::value
- && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
-le(const T1& x, const T2& y) {
- PPL_DIRTY_TEMP(T1, tmp);
- Result r = assign_r(tmp, y, (ROUND_UP | ROUND_STRICT_RELATION));
- // FIXME: We can do this also without fpu inexact check using a
- // conversion back and forth and then testing equality. We should
- // code this in checked_float.inlines.hh, probably it's faster also
- // if fpu supports inexact check.
- PPL_ASSERT(r != V_LE && r != V_GE && r != V_LGE);
- if (!result_representable(r))
- return true;
- switch (result_relation(r)) {
- case VR_EQ:
- return x <= tmp;
- case VR_LT:
- return x < tmp;
- case VR_LE:
- case VR_GE:
- case VR_LGE:
- // See comment above.
- PPL_UNREACHABLE;
- return false;
- default:
- return false;
- }
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-lt_p(const Type1& x, const Type2& y) {
- return lt(x, y);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-le_p(const Type1& x, const Type2& y) {
- return le(x, y);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-eq_p(const Type1& x, const Type2& y) {
- return eq(x, y);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline Result_Relation
-cmp_generic(const Type1& x, const Type2& y) {
- if (lt(y, x))
- return VR_GT;
- if (lt(x, y))
- return VR_LT;
- return VR_EQ;
-}
-
-template <typename Policy, typename Type>
-inline Result
-assign_nan(Type& to, Result r) {
- assign_special<Policy>(to, VC_NAN, ROUND_IGNORE);
- return r;
-}
-
-template <typename Policy, typename Type>
-inline Result
-input_generic(Type& to, std::istream& is, Rounding_Dir dir) {
- PPL_DIRTY_TEMP(mpq_class, q);
- Result r = input_mpq(q, is);
- Result_Class c = result_class(r);
- switch (c) {
- case VC_MINUS_INFINITY:
- case VC_PLUS_INFINITY:
- return assign_special<Policy>(to, c, dir);
- case VC_NAN:
- return assign_nan<Policy>(to, r);
- default:
- break;
- }
- PPL_ASSERT(r == V_EQ);
- return assign<Policy, void>(to, q, dir);
-}
-
-} // namespace Checked
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_checked_inlines_hh)
diff --git a/src/checked_defs.hh b/src/checked_defs.hh
new file mode 100644
index 0000000..f011628
--- /dev/null
+++ b/src/checked_defs.hh
@@ -0,0 +1,716 @@
+/* Abstract checked arithmetic function container.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_defs_hh
+#define PPL_checked_defs_hh 1
+
+#include <cassert>
+#include <iostream>
+#include <gmpxx.h>
+#include "mp_std_bits_defs.hh"
+#include "Temp_defs.hh"
+#include "Rounding_Dir_defs.hh"
+#include "Numeric_Format_defs.hh"
+#include "Float_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+namespace Checked {
+
+
+// It is a pity that function partial specialization is not permitted
+// by C++. To (partly) overcome this limitation, we use class
+// encapsulated functions and partial specialization of containing
+// classes.
+
+#define PPL_FUNCTION_CLASS(name) name ## _function_struct
+
+#define PPL_DECLARE_FUN1_0_0(name, ret_type, qual, type) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg) { \
+ return PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg); \
+ }
+
+#define PPL_DECLARE_FUN1_0_1(name, ret_type, qual, type, after1) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg, PPL_U(after1) a1) { \
+ return \
+ PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg, a1); \
+ }
+
+#define PPL_DECLARE_FUN1_0_2(name, ret_type, qual, type, after1, after2) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg, PPL_U(after1) a1, \
+ PPL_U(after2) a2) { \
+ return \
+ PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg, \
+ a1, a2); \
+ }
+
+#define PPL_DECLARE_FUN1_0_3(name, ret_type, qual, type, \
+ after1, after2, after3) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2, \
+ PPL_U(after3) a3) { \
+ return \
+ PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(arg, \
+ a1, a2, \
+ a3); \
+ }
+
+#define PPL_DECLARE_FUN1_1_1(name, ret_type, before1, qual, type, after1) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(before1) b1, PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1) { \
+ return \
+ PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(b1, arg, \
+ a1); \
+ }
+
+#define PPL_DECLARE_FUN1_1_2(name, ret_type, before1, qual, type, \
+ after1, after2) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(before1) b1, PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2) { \
+ return \
+ PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(b1, arg, \
+ a1, a2); \
+ }
+
+#define PPL_DECLARE_FUN1_2_2(name, ret_type, before1, before2, qual, type, \
+ after1, after2) \
+ template <typename Policy, typename type> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy, typename type> \
+ inline ret_type PPL_U(name)(PPL_U(before1) b1, PPL_U(before2) b2, \
+ PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2) { \
+ return \
+ PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)>::function(b1, b2, \
+ arg, \
+ a1, a2); \
+ }
+
+#define PPL_DECLARE_FUN2_0_0(name, ret_type, qual1, type1, qual2, type2) \
+ template <typename Policy1, typename Policy2, \
+ typename type1, typename type2> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy1, typename Policy2, \
+ typename type1, typename type2> \
+ inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2)& arg2) { \
+ return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, \
+ type1, PPL_U(type2)>::function(arg1, arg2); \
+ }
+
+#define PPL_DECLARE_FUN2_0_1(name, ret_type, qual1, type1, \
+ qual2, type2, after1) \
+ template <typename Policy1, typename Policy2, \
+ typename type1, typename type2> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy1, typename Policy2, \
+ typename type1, typename type2> \
+ inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2)& arg2, \
+ PPL_U(after1) a1) { \
+ return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, \
+ type1, PPL_U(type2)>::function(arg1, arg2, a1); \
+ }
+
+#define PPL_DECLARE_FUN2_0_2(name, ret_type, qual1, type1, qual2, type2, \
+ after1, after2) \
+ template <typename Policy1, typename Policy2, \
+ typename type1, typename type2> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy1, typename Policy2, \
+ typename type1, typename type2> \
+ inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2)& arg2, \
+ PPL_U(after1) a1, PPL_U(after2) a2) { \
+ return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, \
+ type1, PPL_U(type2)>::function(arg1, arg2, a1, a2); \
+ }
+
+#define PPL_DECLARE_FUN3_0_1(name, ret_type, qual1, type1, \
+ qual2, type2, qual3, type3, after1) \
+ template <typename Policy1, typename Policy2, typename Policy3, \
+ typename type1, typename type2, typename type3> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy1, typename Policy2, typename Policy3, \
+ typename type1, typename type2, typename type3> \
+ inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2)& arg2, \
+ PPL_U(qual3) PPL_U(type3)& arg3, \
+ PPL_U(after1) a1) { \
+ return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, Policy3, \
+ type1, type2, PPL_U(type3)> \
+ ::function(arg1, arg2, arg3, a1); \
+ }
+
+#define PPL_DECLARE_FUN5_0_1(name, ret_type, \
+ qual1, type1, qual2, type2, qual3, type3, \
+ qual4, type4, qual5, type5, \
+ after1) \
+ template <typename Policy1, typename Policy2, typename Policy3, \
+ typename Policy4,typename Policy5, \
+ typename type1, typename type2, typename type3, \
+ typename type4, typename type5> \
+ struct PPL_FUNCTION_CLASS(name); \
+ template <typename Policy1, typename Policy2, typename Policy3, \
+ typename Policy4,typename Policy5, \
+ typename type1, typename type2, typename type3, \
+ typename type4, typename type5> \
+ inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, PPL_U(qual2) \
+ PPL_U(type2)& arg2, \
+ PPL_U(qual3) PPL_U(type3)& arg3, PPL_U(qual4) \
+ PPL_U(type4)& arg4, \
+ PPL_U(qual5) PPL_U(type5)& arg5, \
+ PPL_U(after1) a1) { \
+ return PPL_FUNCTION_CLASS(name)<Policy1, Policy2, Policy3, \
+ Policy4, Policy5, \
+ type1, type2, \
+ type3, type4, \
+ PPL_U(type5)> \
+ ::function(arg1, arg2, arg3, arg4, arg5, a1); \
+ }
+
+#define PPL_SPECIALIZE_FUN1_0_0(name, func, ret_type, qual, type) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(qual) PPL_U(type)& arg) { \
+ return PPL_U(func)<Policy>(arg); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN1_0_1(name, func, ret_type, qual, type, after1) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1) { \
+ return PPL_U(func)<Policy>(arg, a1); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN1_0_2(name, func, ret_type, qual, type, \
+ after1, after2) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2) \
+ { \
+ return PPL_U(func)<Policy>(arg, a1, a2); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN1_0_3(name, func, ret_type, qual, type, \
+ after1, after2, after3) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2, \
+ PPL_U(after3) a3) { \
+ return PPL_U(func)<Policy>(arg, a1, a2, a3); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN1_1_1(name, func, ret_type, before1, \
+ qual, type, after1) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(before1) b1, PPL_U(qual) \
+ PPL_U(type)& arg, \
+ PPL_U(after1) a1) { \
+ return PPL_U(func)<Policy>(b1, arg, a1); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN1_1_2(name, func, ret_type, before1, \
+ qual, type, after1, after2) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(before1) b1, PPL_U(qual) \
+ PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2) \
+ { \
+ return PPL_U(func)<Policy>(b1, arg, a1, a2); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN1_2_2(name, func, ret_type, before1, before2, \
+ qual, type, after1, after2) \
+ template <typename Policy> \
+ struct PPL_FUNCTION_CLASS(name)<Policy, PPL_U(type)> { \
+ static inline ret_type function(PPL_U(before1) b1, PPL_U(before2) b2, \
+ PPL_U(qual) PPL_U(type)& arg, \
+ PPL_U(after1) a1, PPL_U(after2) a2) \
+ { \
+ return PPL_U(func)<Policy>(b1, b2, arg, a1, a2); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN2_0_0(name, func, ret_type, qual1, type1, \
+ qual2, type2) \
+ template <typename Policy1, typename Policy2> \
+ struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
+ PPL_U(type2)> { \
+ static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2) &arg2) { \
+ return PPL_U(func)<Policy1, Policy2>(arg1, arg2); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN2_0_1(name, func, ret_type, qual1, type1, \
+ qual2, type2, after1) \
+ template <typename Policy1, typename Policy2> \
+ struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
+ PPL_U(type2)> { \
+ static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2) &arg2, \
+ PPL_U(after1) a1) { \
+ return PPL_U(func)<Policy1, Policy2>(arg1, arg2, a1); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN2_0_2(name, func, ret_type, qual1, type1, \
+ qual2, type2, after1, after2) \
+ template <typename Policy1, typename Policy2> \
+ struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
+ PPL_U(type2)> { \
+ static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2) &arg2, \
+ PPL_U(after1) a1, PPL_U(after2) a2) \
+ { \
+ return PPL_U(func)<Policy1, Policy2>(arg1, arg2, a1, a2); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN3_0_1(name, func, ret_type, qual1, type1, \
+ qual2, type2, qual3, type3, after1) \
+ template <typename Policy1, typename Policy2, typename Policy3> \
+ struct PPL_FUNCTION_CLASS(name) <Policy1, Policy2, Policy3, \
+ type1, type2, \
+ PPL_U(type3)> { \
+ static inline Result function(PPL_U(qual1) PPL_U(type1)& arg1, \
+ PPL_U(qual2) PPL_U(type2) &arg2, \
+ PPL_U(qual3) PPL_U(type3) &arg3, \
+ PPL_U(after1) a1) { \
+ return PPL_U(func)<Policy1, Policy2, Policy3>(arg1, arg2, arg3, \
+ a1); \
+ } \
+ };
+
+#define PPL_SPECIALIZE_FUN5_0_1(name, func, ret_type, \
+ qual1, type1, qual2, type2, \
+ qual3, type3, \
+ qual4, type4, qual5, type5, after1) \
+ template <typename Policy1, typename Policy2, typename Policy3, \
+ typename Policy4, typename Policy5> \
+ struct PPL_FUNCTION_CLASS(name) <Policy1, Policy2, Policy3, Policy4, \
+ Policy5, \
+ type1, type2, \
+ type3, type4, \
+ PPL_U(type5)> { \
+ static inline Result \
+ function(PPL_U(qual1) PPL_U(type1)& arg1, PPL_U(qual2) \
+ PPL_U(type2) &arg2, \
+ PPL_U(qual3) PPL_U(type3) &arg3, PPL_U(qual4) \
+ PPL_U(type4) &arg4, \
+ PPL_U(qual5) PPL_U(type5) &arg5, PPL_U(after1) a1) { \
+ return PPL_U(func)<Policy1, Policy2, Policy3, Policy4, \
+ Policy5>(arg1, arg2, arg3, arg4, arg5, a1); \
+ } \
+ };
+
+// The `nonconst' macro helps readability of the sequel.
+#ifdef nonconst
+#define PPL_SAVED_nonconst nonconst
+#undef nonconst
+#endif
+#define nonconst
+
+#define PPL_SPECIALIZE_COPY(func, Type) \
+ PPL_SPECIALIZE_FUN2_0_0(copy, func, void, nonconst, Type, const, Type)
+#define PPL_SPECIALIZE_SGN(func, From) \
+ PPL_SPECIALIZE_FUN1_0_0(sgn, func, Result_Relation, const, From)
+#define PPL_SPECIALIZE_CMP(func, Type1, Type2) \
+ PPL_SPECIALIZE_FUN2_0_0(cmp, func, Result_Relation, const, Type1, const, Type2)
+#define PPL_SPECIALIZE_CLASSIFY(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_3(classify, func, Result, const, Type, bool, bool, bool)
+#define PPL_SPECIALIZE_IS_NAN(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_0(is_nan, func, bool, const, Type)
+#define PPL_SPECIALIZE_IS_MINF(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_0(is_minf, func, bool, const, Type)
+#define PPL_SPECIALIZE_IS_PINF(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_0(is_pinf, func, bool, const, Type)
+#define PPL_SPECIALIZE_IS_INT(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_0(is_int, func, bool, const, Type)
+#define PPL_SPECIALIZE_ASSIGN_SPECIAL(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_2(assign_special, func, Result, \
+ nonconst, Type, Result_Class, Rounding_Dir)
+#define PPL_SPECIALIZE_CONSTRUCT_SPECIAL(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_2(construct_special, func, Result, nonconst, \
+ Type, Result_Class, Rounding_Dir)
+#define PPL_SPECIALIZE_CONSTRUCT(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(construct, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_ASSIGN(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(assign, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_FLOOR(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(floor, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_CEIL(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(ceil, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_TRUNC(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(trunc, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_NEG(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(neg, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_ABS(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(abs, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_SQRT(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_1(sqrt, func, Result, nonconst, To, \
+ const, From, Rounding_Dir)
+#define PPL_SPECIALIZE_ADD(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(add, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_SUB(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(sub, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_MUL(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(mul, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_DIV(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(div, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_REM(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(rem, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_IDIV(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(idiv, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_ADD_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(add_2exp, func, Result, nonconst, To, \
+ const, From, unsigned int, Rounding_Dir)
+#define PPL_SPECIALIZE_SUB_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(sub_2exp, func, Result, nonconst, To, \
+ const, From, unsigned int, Rounding_Dir)
+#define PPL_SPECIALIZE_MUL_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(mul_2exp, func, Result, nonconst, To, \
+ const, From, unsigned int, Rounding_Dir)
+#define PPL_SPECIALIZE_DIV_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(div_2exp, func, Result, nonconst, To, \
+ const, From, unsigned int, Rounding_Dir)
+#define PPL_SPECIALIZE_SMOD_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(smod_2exp, func, Result, nonconst, To, \
+ const, From, unsigned int, Rounding_Dir)
+#define PPL_SPECIALIZE_UMOD_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(umod_2exp, func, Result, nonconst, To, \
+ const, From, unsigned int, Rounding_Dir)
+#define PPL_SPECIALIZE_ADD_MUL(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(add_mul, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_SUB_MUL(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(sub_mul, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_GCD(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(gcd, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_GCDEXT(func, To1, From1, From2, To2, To3) \
+ PPL_SPECIALIZE_FUN5_0_1(gcdext, func, Result, nonconst, To1, \
+ nonconst, To2, nonconst, To3, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_LCM(func, To, From1, From2) \
+ PPL_SPECIALIZE_FUN3_0_1(lcm, func, Result, nonconst, To, \
+ const, From1, const, From2, Rounding_Dir)
+#define PPL_SPECIALIZE_INPUT(func, Type) \
+ PPL_SPECIALIZE_FUN1_0_2(input, func, Result, nonconst, Type, \
+ std::istream&, Rounding_Dir)
+#define PPL_SPECIALIZE_OUTPUT(func, Type) \
+ PPL_SPECIALIZE_FUN1_1_2(output, func, Result, std::ostream&, \
+ const, Type, \
+ const Numeric_Format&, Rounding_Dir)
+
+
+PPL_DECLARE_FUN2_0_0(copy,
+ void, nonconst, Type1, const, Type2)
+PPL_DECLARE_FUN1_0_0(sgn,
+ Result_Relation, const, From)
+PPL_DECLARE_FUN2_0_0(cmp,
+ Result_Relation, const, Type1, const, Type2)
+PPL_DECLARE_FUN1_0_3(classify,
+ Result, const, Type, bool, bool, bool)
+PPL_DECLARE_FUN1_0_0(is_nan,
+ bool, const, Type)
+PPL_DECLARE_FUN1_0_0(is_minf,
+ bool, const, Type)
+PPL_DECLARE_FUN1_0_0(is_pinf,
+ bool, const, Type)
+PPL_DECLARE_FUN1_0_0(is_int,
+ bool, const, Type)
+PPL_DECLARE_FUN1_0_2(assign_special,
+ Result, nonconst, Type, Result_Class, Rounding_Dir)
+PPL_DECLARE_FUN1_0_2(construct_special,
+ Result, nonconst, Type, Result_Class, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(construct,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(assign,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(floor,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(ceil,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(trunc,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(neg,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(abs,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN2_0_1(sqrt,
+ Result, nonconst, To, const, From, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(add,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(sub,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(mul,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(div,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(rem,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(idiv,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN2_0_2(add_2exp,
+ Result, nonconst, To,
+ const, From, unsigned int, Rounding_Dir)
+PPL_DECLARE_FUN2_0_2(sub_2exp,
+ Result, nonconst, To,
+ const, From, unsigned int, Rounding_Dir)
+PPL_DECLARE_FUN2_0_2(mul_2exp,
+ Result, nonconst, To,
+ const, From, unsigned int, Rounding_Dir)
+PPL_DECLARE_FUN2_0_2(div_2exp,
+ Result, nonconst, To,
+ const, From, unsigned int, Rounding_Dir)
+PPL_DECLARE_FUN2_0_2(smod_2exp,
+ Result, nonconst, To,
+ const, From, unsigned int, Rounding_Dir)
+PPL_DECLARE_FUN2_0_2(umod_2exp,
+ Result, nonconst, To,
+ const, From, unsigned int, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(add_mul,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(sub_mul,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(gcd,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN5_0_1(gcdext,
+ Result, nonconst, To1, nonconst, To2, nonconst, To3,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN3_0_1(lcm,
+ Result, nonconst, To,
+ const, From1, const, From2, Rounding_Dir)
+PPL_DECLARE_FUN1_0_2(input,
+ Result, nonconst, Type, std::istream&, Rounding_Dir)
+PPL_DECLARE_FUN1_1_2(output,
+ Result, std::ostream&, const, Type,
+ const Numeric_Format&, Rounding_Dir)
+
+#undef PPL_DECLARE_FUN1_0_0
+#undef PPL_DECLARE_FUN1_0_1
+#undef PPL_DECLARE_FUN1_0_2
+#undef PPL_DECLARE_FUN1_0_3
+#undef PPL_DECLARE_FUN1_1_1
+#undef PPL_DECLARE_FUN1_1_2
+#undef PPL_DECLARE_FUN1_2_2
+#undef PPL_DECLARE_FUN2_0_0
+#undef PPL_DECLARE_FUN2_0_1
+#undef PPL_DECLARE_FUN2_0_2
+#undef PPL_DECLARE_FUN3_0_1
+#undef PPL_DECLARE_FUN5_0_1
+
+template <typename Policy, typename To>
+Result round(To& to, Result r, Rounding_Dir dir);
+
+Result input_mpq(mpq_class& to, std::istream& is);
+
+std::string float_mpq_to_string(mpq_class& q);
+
+} // namespace Checked
+
+struct Minus_Infinity {
+ static const Result_Class vclass = VC_MINUS_INFINITY;
+};
+struct Plus_Infinity {
+ static const Result_Class vclass = VC_PLUS_INFINITY;
+};
+struct Not_A_Number {
+ static const Result_Class vclass = VC_NAN;
+};
+
+template <typename T>
+struct Is_Special : public False { };
+
+template <>
+struct Is_Special<Minus_Infinity> : public True {};
+
+template <>
+struct Is_Special<Plus_Infinity> : public True {};
+
+template <>
+struct Is_Special<Not_A_Number> : public True {};
+
+extern Minus_Infinity MINUS_INFINITY;
+extern Plus_Infinity PLUS_INFINITY;
+extern Not_A_Number NOT_A_NUMBER;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+struct Checked_Number_Transparent_Policy {
+ //! Do not check for overflowed result.
+ const_bool_nodef(check_overflow, false);
+
+ //! Do not check for attempts to add infinities with different sign.
+ const_bool_nodef(check_inf_add_inf, false);
+
+ //! Do not check for attempts to subtract infinities with same sign.
+ const_bool_nodef(check_inf_sub_inf, false);
+
+ //! Do not check for attempts to multiply infinities by zero.
+ const_bool_nodef(check_inf_mul_zero, false);
+
+ //! Do not check for attempts to divide by zero.
+ const_bool_nodef(check_div_zero, false);
+
+ //! Do not check for attempts to divide infinities.
+ const_bool_nodef(check_inf_div_inf, false);
+
+ //! Do not check for attempts to compute remainder of infinities.
+ const_bool_nodef(check_inf_mod, false);
+
+ //! Do not check for attempts to take the square root of a negative number.
+ const_bool_nodef(check_sqrt_neg, false);
+
+ //! Handle not-a-number special value if \p T has it.
+ const_bool_nodef(has_nan, std::numeric_limits<T>::has_quiet_NaN);
+
+ //! Handle infinity special values if \p T have them.
+ const_bool_nodef(has_infinity, std::numeric_limits<T>::has_infinity);
+
+ /*! \brief
+ The checked number can always be safely converted to the
+ underlying type \p T and vice-versa.
+ */
+ const_bool_nodef(convertible, true);
+
+ //! Do not honor requests to check for FPU inexact results.
+ const_bool_nodef(fpu_check_inexact, false);
+
+ //! Do not make extra checks to detect FPU NaN results.
+ const_bool_nodef(fpu_check_nan_result, false);
+
+ /*! \brief
+ For constructors, by default use the same rounding used by
+ underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_CONSTRUCTOR = ROUND_NATIVE;
+
+ /*! \brief
+ For overloaded operators (operator+(), operator-(), ...), by
+ default use the same rounding used by the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_OPERATOR = ROUND_NATIVE;
+
+ /*! \brief
+ For input functions, by default use the same rounding used by
+ the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_INPUT = ROUND_NATIVE;
+
+ /*! \brief
+ For output functions, by default use the same rounding used by
+ the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_OUTPUT = ROUND_NATIVE;
+
+ /*! \brief
+ For all other functions, by default use the same rounding used by
+ the underlying type.
+ */
+ static const Rounding_Dir ROUND_DEFAULT_FUNCTION = ROUND_NATIVE;
+
+ /*! \brief
+ Handles \p r: called by all constructors, operators and functions that
+ do not return a Result value.
+ */
+ static void handle_result(Result r);
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#define CHECK_P(cond, check) ((cond) ? (check) : (assert(!(check)), false))
+
+#include "checked_inlines.hh"
+#include "checked_int_inlines.hh"
+#include "checked_float_inlines.hh"
+#include "checked_mpz_inlines.hh"
+#include "checked_mpq_inlines.hh"
+#include "checked_ext_inlines.hh"
+
+#undef nonconst
+#ifdef PPL_SAVED_nonconst
+#define nonconst PPL_SAVED_nonconst
+#undef PPL_SAVED_nonconst
+#endif
+
+#undef PPL_FUNCTION_CLASS
+#undef PPL_NAN
+
+#endif // !defined(PPL_checked_defs_hh)
diff --git a/src/checked_ext.inlines.hh b/src/checked_ext.inlines.hh
deleted file mode 100644
index f02d9be..0000000
--- a/src/checked_ext.inlines.hh
+++ /dev/null
@@ -1,923 +0,0 @@
-/* Checked extended arithmetic functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_ext_defs_hh
-#define PPL_checked_ext_defs_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename T> struct FPU_Related : public False {};
-template <> struct FPU_Related<float> : public True {};
-template <> struct FPU_Related<double> : public True {};
-template <> struct FPU_Related<long double> : public True {};
-
-namespace Checked {
-
-template <typename T>
-inline bool
-handle_ext_natively(const T&) {
- return FPU_Related<T>::value;
-}
-
-template <typename Policy, typename Type>
-inline bool
-ext_to_handle(const Type& x) {
- return !handle_ext_natively(x)
- && (Policy::has_infinity || Policy::has_nan);
-}
-
-template <typename Policy, typename Type>
-inline Result_Relation
-sgn_ext(const Type& x) {
- if (!ext_to_handle<Policy>(x))
- goto native;
- if (is_nan<Policy>(x))
- return VR_EMPTY;
- else if (is_minf<Policy>(x))
- return VR_LT;
- else if (is_pinf<Policy>(x))
- return VR_GT;
- else {
- native:
- return sgn<Policy>(x);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-construct_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return construct_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return construct_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return construct_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return construct<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-assign_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return assign<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-neg_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else {
- native:
- return neg<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-floor_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return floor<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-ceil_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return ceil<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-trunc_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return trunc<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-abs_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x) || is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return abs<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-add_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_add_inf, is_pinf<From2_Policy>(y)))
- goto inf_add_inf;
- else
- goto minf;
- }
- else if (is_pinf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_add_inf, is_minf<From2_Policy>(y))) {
- inf_add_inf:
- return assign_nan<To_Policy>(to, V_INF_ADD_INF);
- }
- else
- goto pinf;
- }
- else {
- if (is_minf<From2_Policy>(y)) {
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- }
- else if (is_pinf<From2_Policy>(y)) {
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- }
- else {
- native:
- return add<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-sub_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_sub_inf, is_minf<From2_Policy>(y)))
- goto inf_sub_inf;
- else
- goto minf;
- }
- else if (is_pinf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_sub_inf, is_pinf<From2_Policy>(y))) {
- inf_sub_inf:
- return assign_nan<To_Policy>(to, V_INF_SUB_INF);
- }
- else
- goto pinf;
- }
- else {
- if (is_pinf<From2_Policy>(y)) {
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- }
- else if (is_minf<From2_Policy>(y)) {
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- }
- else {
- native:
- return sub<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (is_minf<From1_Policy>(x)) {
- switch (sgn_ext<From2_Policy>(y)) {
- case VR_LT:
- goto pinf;
- case VR_GT:
- goto minf;
- default:
- goto inf_mul_zero;
- }
- }
- else if (is_pinf<From1_Policy>(x)) {
- switch (sgn_ext<From2_Policy>(y)) {
- case VR_LT:
- goto minf;
- case VR_GT:
- goto pinf;
- default:
- goto inf_mul_zero;
- }
- }
- else {
- if (is_minf<From2_Policy>(y)) {
- switch (sgn<From1_Policy>(x)) {
- case VR_LT:
- goto pinf;
- case VR_GT:
- goto minf;
- default:
- goto inf_mul_zero;
- }
- }
- else if (is_pinf<From2_Policy>(y)) {
- switch (sgn<From1_Policy>(x)) {
- case VR_LT:
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- case VR_GT:
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- default:
- inf_mul_zero:
- PPL_ASSERT(To_Policy::check_inf_mul_zero);
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
- }
- }
- else {
- native:
- return mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-add_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<To_Policy>(to)
- && !ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<To_Policy>(to)
- || is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (is_minf<From1_Policy>(x)) {
- switch (sgn_ext<From2_Policy>(y)) {
- case VR_LT:
- goto a_pinf;
- case VR_GT:
- goto a_minf;
- default:
- goto inf_mul_zero;
- }
- }
- else if (is_pinf<From1_Policy>(x)) {
- switch (sgn_ext<From2_Policy>(y)) {
- case VR_LT:
- goto a_minf;
- case VR_GT:
- goto a_pinf;
- default:
- goto inf_mul_zero;
- }
- }
- else {
- if (is_minf<From2_Policy>(y)) {
- switch (sgn<From1_Policy>(x)) {
- case VR_LT:
- goto a_pinf;
- case VR_GT:
- goto a_minf;
- default:
- goto inf_mul_zero;
- }
- }
- else if (is_pinf<From2_Policy>(y)) {
- switch (sgn<From1_Policy>(x)) {
- case VR_LT:
- a_minf:
- if (CHECK_P(To_Policy::check_inf_add_inf, is_pinf<To_Policy>(to)))
- goto inf_add_inf;
- else
- goto minf;
- case VR_GT:
- a_pinf:
- if (CHECK_P(To_Policy::check_inf_add_inf, is_minf<To_Policy>(to))) {
- inf_add_inf:
- return assign_nan<To_Policy>(to, V_INF_ADD_INF);
- }
- else
- goto pinf;
- default:
- inf_mul_zero:
- PPL_ASSERT(To_Policy::check_inf_mul_zero);
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
- }
- }
- else {
- if (is_minf<To_Policy>(to)) {
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- }
- if (is_pinf<To_Policy>(to)) {
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- }
- native:
- return add_mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-sub_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<To_Policy>(to)
- && !ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<To_Policy>(to)
- || is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (is_minf<From1_Policy>(x)) {
- switch (sgn_ext<From2_Policy>(y)) {
- case VR_LT:
- goto a_pinf;
- case VR_GT:
- goto a_minf;
- default:
- goto inf_mul_zero;
- }
- }
- else if (is_pinf<From1_Policy>(x)) {
- switch (sgn_ext<From2_Policy>(y)) {
- case VR_LT:
- goto a_minf;
- case VR_GT:
- goto a_pinf;
- default:
- goto inf_mul_zero;
- }
- }
- else {
- if (is_minf<From2_Policy>(y)) {
- switch (sgn<From1_Policy>(x)) {
- case VR_LT:
- goto a_pinf;
- case VR_GT:
- goto a_minf;
- default:
- goto inf_mul_zero;
- }
- }
- else if (is_pinf<From2_Policy>(y)) {
- switch (sgn<From1_Policy>(x)) {
- case VR_LT:
- a_minf:
- if (CHECK_P(To_Policy::check_inf_sub_inf, is_minf<To_Policy>(to)))
- goto inf_sub_inf;
- else
- goto pinf;
- case VR_GT:
- a_pinf:
- if (CHECK_P(To_Policy::check_inf_sub_inf, is_pinf<To_Policy>(to))) {
- inf_sub_inf:
- return assign_nan<To_Policy>(to, V_INF_SUB_INF);
- }
- else
- goto minf;
- default:
- inf_mul_zero:
- PPL_ASSERT(To_Policy::check_inf_mul_zero);
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
- }
- }
- else {
- if (is_minf<To_Policy>(to)) {
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- }
- if (is_pinf<To_Policy>(to)) {
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- }
- native:
- return sub_mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-div_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (is_minf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y)))
- goto inf_div_inf;
- else {
- switch (sgn<From2_Policy>(y)) {
- case VR_LT:
- goto pinf;
- case VR_GT:
- goto minf;
- default:
- goto div_zero;
- }
- }
- }
- else if (is_pinf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y))) {
- inf_div_inf:
- return assign_nan<To_Policy>(to, V_INF_DIV_INF);
- }
- else {
- switch (sgn<From2_Policy>(y)) {
- case VR_LT:
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- case VR_GT:
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- default:
- div_zero:
- PPL_ASSERT(To_Policy::check_div_zero);
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- }
- }
- else {
- if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y)) {
- to = 0;
- return V_EQ;
- }
- else {
- native:
- return div<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-idiv_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (is_minf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y)))
- goto inf_div_inf;
- else {
- switch (sgn<From2_Policy>(y)) {
- case VR_LT:
- goto pinf;
- case VR_GT:
- goto minf;
- default:
- goto div_zero;
- }
- }
- }
- else if (is_pinf<From1_Policy>(x)) {
- if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y))) {
- inf_div_inf:
- return assign_nan<To_Policy>(to, V_INF_DIV_INF);
- }
- else {
- switch (sgn<From2_Policy>(y)) {
- case VR_LT:
- minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- case VR_GT:
- pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- default:
- div_zero:
- PPL_ASSERT(To_Policy::check_div_zero);
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- }
- }
- else {
- if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y)) {
- to = 0;
- return V_EQ;
- }
- else {
- native:
- return idiv<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-rem_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
- goto native;
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From1_Policy>(x)
- || is_pinf<From1_Policy>(x))) {
- return assign_nan<To_Policy>(to, V_INF_MOD);
- }
- else {
- if (is_minf<From1_Policy>(y) || is_pinf<From2_Policy>(y)) {
- to = x;
- return V_EQ;
- }
- else {
- native:
- return rem<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- }
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-add_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return add_2exp<To_Policy, From_Policy>(to, x, exp, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-sub_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return sub_2exp<To_Policy, From_Policy>(to, x, exp, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-mul_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return mul_2exp<To_Policy, From_Policy>(to, x, exp, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-div_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return div_2exp<To_Policy, From_Policy>(to, x, exp, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-smod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From_Policy>(x)
- || is_pinf<From_Policy>(x))) {
- return assign_nan<To_Policy>(to, V_INF_MOD);
- }
- else {
- native:
- return smod_2exp<To_Policy, From_Policy>(to, x, exp, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-umod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From_Policy>(x)
- || is_pinf<From_Policy>(x))) {
- return assign_nan<To_Policy>(to, V_INF_MOD);
- }
- else {
- native:
- return umod_2exp<To_Policy, From_Policy>(to, x, exp, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy,
- typename To, typename From>
-inline Result
-sqrt_ext(To& to, const From& x, Rounding_Dir dir) {
- if (!ext_to_handle<From_Policy>(x))
- goto native;
- if (is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(x)) {
- return assign_nan<To_Policy>(to, V_SQRT_NEG);
- }
- else if (is_pinf<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else {
- native:
- return sqrt<To_Policy, From_Policy>(to, x, dir);
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-gcd_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x))
- return abs_ext<To_Policy, From2_Policy>(to, y, dir);
- else if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y))
- return abs_ext<To_Policy, From1_Policy>(to, x, dir);
- else
- return gcd<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
-}
-
-template <typename To1_Policy, typename To2_Policy, typename To3_Policy,
- typename From1_Policy, typename From2_Policy,
- typename To1, typename To2, typename To3,
- typename From1, typename From2>
-inline Result
-gcdext_ext(To1& to, To2& s, To3& t, const From1& x, const From2& y,
- Rounding_Dir dir) {
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To1_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x)) {
- s = 0;
- t = y > 0 ? -1 : 1;
- return abs_ext<To1_Policy, From2_Policy>(to, y, dir);
- }
- else if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y)) {
- s = x > 0 ? -1 : 1;
- t = 0;
- return abs_ext<To1_Policy, From1_Policy>(to, x, dir);
- }
- else
- return gcdext<To1_Policy, To2_Policy, To3_Policy, From1_Policy, From2_Policy>(to, s, t, x, y, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
-inline Result
-lcm_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
- if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x)
- || is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- else
- return lcm<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline Result_Relation
-cmp_ext(const Type1& x, const Type2& y) {
- if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
- goto native;
- if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
- return VR_EMPTY;
- else if (is_minf<Policy1>(x))
- return is_minf<Policy2>(y) ? VR_EQ : VR_LT;
- else if (is_pinf<Policy1>(x))
- return is_pinf<Policy2>(y) ? VR_EQ : VR_GT;
- else {
- if (is_minf<Policy2>(y))
- return VR_GT;
- if (is_pinf<Policy2>(y))
- return VR_LT;
- native:
- return cmp<Policy1, Policy2>(x, y);
- }
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-lt_ext(const Type1& x, const Type2& y) {
- if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
- goto native;
- if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
- return false;
- if (is_pinf<Policy1>(x) || is_minf<Policy2>(y))
- return false;
- if (is_minf<Policy1>(x) || is_pinf<Policy2>(y))
- return true;
- native:
- return lt_p<Policy1, Policy2>(x, y);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-gt_ext(const Type1& x, const Type2& y) {
- return lt_ext<Policy1, Policy2>(y, x);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-le_ext(const Type1& x, const Type2& y) {
- if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
- goto native;
- if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
- return false;
- if (is_minf<Policy1>(x) || is_pinf<Policy2>(y))
- return true;
- if (is_pinf<Policy1>(x) || is_minf<Policy2>(y))
- return false;
- native:
- return le_p<Policy1, Policy2>(x, y);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-ge_ext(const Type1& x, const Type2& y) {
- return le_ext<Policy1, Policy2>(y, x);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-eq_ext(const Type1& x, const Type2& y) {
- if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
- goto native;
- if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
- return false;
- if (is_minf<Policy1>(x))
- return is_minf<Policy2>(y);
- if (is_pinf<Policy1>(x))
- return is_pinf<Policy2>(y);
- else if (is_minf<Policy2>(y) || is_pinf<Policy2>(y))
- return false;
- native:
- return eq_p<Policy1, Policy2>(x, y);
-}
-
-template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
-inline bool
-ne_ext(const Type1& x, const Type2& y) {
- return !eq_ext<Policy1, Policy2>(x, y);
-}
-
-template <typename Policy, typename Type>
-inline Result
-output_ext(std::ostream& os, const Type& x,
- const Numeric_Format& format, Rounding_Dir dir) {
- if (!ext_to_handle<Policy>(x))
- goto native;
- if (is_nan<Policy>(x)) {
- os << "nan";
- return V_NAN;
- }
- if (is_minf<Policy>(x)) {
- os << "-inf";
- return V_EQ;
- }
- if (is_pinf<Policy>(x)) {
- os << "+inf";
- return V_EQ;
- }
- native:
- return output<Policy>(os, x, format, dir);
-}
-
-template <typename To_Policy, typename To>
-inline Result
-input_ext(To& to, std::istream& is, Rounding_Dir dir) {
- return input<To_Policy>(to, is, dir);
-}
-
-} // namespace Checked
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_checked_ext_defs_hh)
diff --git a/src/checked_ext_inlines.hh b/src/checked_ext_inlines.hh
new file mode 100644
index 0000000..2f6a9b5
--- /dev/null
+++ b/src/checked_ext_inlines.hh
@@ -0,0 +1,923 @@
+/* Checked extended arithmetic functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_ext_defs_hh
+#define PPL_checked_ext_defs_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T> struct FPU_Related : public False {};
+template <> struct FPU_Related<float> : public True {};
+template <> struct FPU_Related<double> : public True {};
+template <> struct FPU_Related<long double> : public True {};
+
+namespace Checked {
+
+template <typename T>
+inline bool
+handle_ext_natively(const T&) {
+ return FPU_Related<T>::value;
+}
+
+template <typename Policy, typename Type>
+inline bool
+ext_to_handle(const Type& x) {
+ return !handle_ext_natively(x)
+ && (Policy::has_infinity || Policy::has_nan);
+}
+
+template <typename Policy, typename Type>
+inline Result_Relation
+sgn_ext(const Type& x) {
+ if (!ext_to_handle<Policy>(x))
+ goto native;
+ if (is_nan<Policy>(x))
+ return VR_EMPTY;
+ else if (is_minf<Policy>(x))
+ return VR_LT;
+ else if (is_pinf<Policy>(x))
+ return VR_GT;
+ else {
+ native:
+ return sgn<Policy>(x);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+construct_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return construct_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return construct_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return construct_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return construct<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+assign_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return assign<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+neg_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else {
+ native:
+ return neg<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+floor_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return floor<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+ceil_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return ceil<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+trunc_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return trunc<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+abs_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x) || is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return abs<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+add_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_add_inf, is_pinf<From2_Policy>(y)))
+ goto inf_add_inf;
+ else
+ goto minf;
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_add_inf, is_minf<From2_Policy>(y))) {
+ inf_add_inf:
+ return assign_nan<To_Policy>(to, V_INF_ADD_INF);
+ }
+ else
+ goto pinf;
+ }
+ else {
+ if (is_minf<From2_Policy>(y)) {
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ }
+ else if (is_pinf<From2_Policy>(y)) {
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ }
+ else {
+ native:
+ return add<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+sub_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_sub_inf, is_minf<From2_Policy>(y)))
+ goto inf_sub_inf;
+ else
+ goto minf;
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_sub_inf, is_pinf<From2_Policy>(y))) {
+ inf_sub_inf:
+ return assign_nan<To_Policy>(to, V_INF_SUB_INF);
+ }
+ else
+ goto pinf;
+ }
+ else {
+ if (is_pinf<From2_Policy>(y)) {
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ }
+ else if (is_minf<From2_Policy>(y)) {
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ }
+ else {
+ native:
+ return sub<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (is_minf<From1_Policy>(x)) {
+ switch (sgn_ext<From2_Policy>(y)) {
+ case VR_LT:
+ goto pinf;
+ case VR_GT:
+ goto minf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ switch (sgn_ext<From2_Policy>(y)) {
+ case VR_LT:
+ goto minf;
+ case VR_GT:
+ goto pinf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else {
+ if (is_minf<From2_Policy>(y)) {
+ switch (sgn<From1_Policy>(x)) {
+ case VR_LT:
+ goto pinf;
+ case VR_GT:
+ goto minf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else if (is_pinf<From2_Policy>(y)) {
+ switch (sgn<From1_Policy>(x)) {
+ case VR_LT:
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ case VR_GT:
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ default:
+ inf_mul_zero:
+ PPL_ASSERT(To_Policy::check_inf_mul_zero);
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ }
+ }
+ else {
+ native:
+ return mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+add_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<To_Policy>(to)
+ && !ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<To_Policy>(to)
+ || is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (is_minf<From1_Policy>(x)) {
+ switch (sgn_ext<From2_Policy>(y)) {
+ case VR_LT:
+ goto a_pinf;
+ case VR_GT:
+ goto a_minf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ switch (sgn_ext<From2_Policy>(y)) {
+ case VR_LT:
+ goto a_minf;
+ case VR_GT:
+ goto a_pinf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else {
+ if (is_minf<From2_Policy>(y)) {
+ switch (sgn<From1_Policy>(x)) {
+ case VR_LT:
+ goto a_pinf;
+ case VR_GT:
+ goto a_minf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else if (is_pinf<From2_Policy>(y)) {
+ switch (sgn<From1_Policy>(x)) {
+ case VR_LT:
+ a_minf:
+ if (CHECK_P(To_Policy::check_inf_add_inf, is_pinf<To_Policy>(to)))
+ goto inf_add_inf;
+ else
+ goto minf;
+ case VR_GT:
+ a_pinf:
+ if (CHECK_P(To_Policy::check_inf_add_inf, is_minf<To_Policy>(to))) {
+ inf_add_inf:
+ return assign_nan<To_Policy>(to, V_INF_ADD_INF);
+ }
+ else
+ goto pinf;
+ default:
+ inf_mul_zero:
+ PPL_ASSERT(To_Policy::check_inf_mul_zero);
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ }
+ }
+ else {
+ if (is_minf<To_Policy>(to)) {
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ }
+ if (is_pinf<To_Policy>(to)) {
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ }
+ native:
+ return add_mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+sub_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<To_Policy>(to)
+ && !ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<To_Policy>(to)
+ || is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (is_minf<From1_Policy>(x)) {
+ switch (sgn_ext<From2_Policy>(y)) {
+ case VR_LT:
+ goto a_pinf;
+ case VR_GT:
+ goto a_minf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ switch (sgn_ext<From2_Policy>(y)) {
+ case VR_LT:
+ goto a_minf;
+ case VR_GT:
+ goto a_pinf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else {
+ if (is_minf<From2_Policy>(y)) {
+ switch (sgn<From1_Policy>(x)) {
+ case VR_LT:
+ goto a_pinf;
+ case VR_GT:
+ goto a_minf;
+ default:
+ goto inf_mul_zero;
+ }
+ }
+ else if (is_pinf<From2_Policy>(y)) {
+ switch (sgn<From1_Policy>(x)) {
+ case VR_LT:
+ a_minf:
+ if (CHECK_P(To_Policy::check_inf_sub_inf, is_minf<To_Policy>(to)))
+ goto inf_sub_inf;
+ else
+ goto pinf;
+ case VR_GT:
+ a_pinf:
+ if (CHECK_P(To_Policy::check_inf_sub_inf, is_pinf<To_Policy>(to))) {
+ inf_sub_inf:
+ return assign_nan<To_Policy>(to, V_INF_SUB_INF);
+ }
+ else
+ goto minf;
+ default:
+ inf_mul_zero:
+ PPL_ASSERT(To_Policy::check_inf_mul_zero);
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ }
+ }
+ else {
+ if (is_minf<To_Policy>(to)) {
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ }
+ if (is_pinf<To_Policy>(to)) {
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ }
+ native:
+ return sub_mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+div_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (is_minf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
+ || is_pinf<From2_Policy>(y)))
+ goto inf_div_inf;
+ else {
+ switch (sgn<From2_Policy>(y)) {
+ case VR_LT:
+ goto pinf;
+ case VR_GT:
+ goto minf;
+ default:
+ goto div_zero;
+ }
+ }
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
+ || is_pinf<From2_Policy>(y))) {
+ inf_div_inf:
+ return assign_nan<To_Policy>(to, V_INF_DIV_INF);
+ }
+ else {
+ switch (sgn<From2_Policy>(y)) {
+ case VR_LT:
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ case VR_GT:
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ default:
+ div_zero:
+ PPL_ASSERT(To_Policy::check_div_zero);
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ }
+ }
+ else {
+ if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y)) {
+ to = 0;
+ return V_EQ;
+ }
+ else {
+ native:
+ return div<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+idiv_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (is_minf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
+ || is_pinf<From2_Policy>(y)))
+ goto inf_div_inf;
+ else {
+ switch (sgn<From2_Policy>(y)) {
+ case VR_LT:
+ goto pinf;
+ case VR_GT:
+ goto minf;
+ default:
+ goto div_zero;
+ }
+ }
+ }
+ else if (is_pinf<From1_Policy>(x)) {
+ if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
+ || is_pinf<From2_Policy>(y))) {
+ inf_div_inf:
+ return assign_nan<To_Policy>(to, V_INF_DIV_INF);
+ }
+ else {
+ switch (sgn<From2_Policy>(y)) {
+ case VR_LT:
+ minf:
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ case VR_GT:
+ pinf:
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ default:
+ div_zero:
+ PPL_ASSERT(To_Policy::check_div_zero);
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ }
+ }
+ else {
+ if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y)) {
+ to = 0;
+ return V_EQ;
+ }
+ else {
+ native:
+ return idiv<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+rem_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
+ goto native;
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From1_Policy>(x)
+ || is_pinf<From1_Policy>(x))) {
+ return assign_nan<To_Policy>(to, V_INF_MOD);
+ }
+ else {
+ if (is_minf<From1_Policy>(y) || is_pinf<From2_Policy>(y)) {
+ to = x;
+ return V_EQ;
+ }
+ else {
+ native:
+ return rem<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ }
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+add_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return add_2exp<To_Policy, From_Policy>(to, x, exp, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+sub_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return sub_2exp<To_Policy, From_Policy>(to, x, exp, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+mul_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return mul_2exp<To_Policy, From_Policy>(to, x, exp, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+div_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return div_2exp<To_Policy, From_Policy>(to, x, exp, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+smod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From_Policy>(x)
+ || is_pinf<From_Policy>(x))) {
+ return assign_nan<To_Policy>(to, V_INF_MOD);
+ }
+ else {
+ native:
+ return smod_2exp<To_Policy, From_Policy>(to, x, exp, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+umod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From_Policy>(x)
+ || is_pinf<From_Policy>(x))) {
+ return assign_nan<To_Policy>(to, V_INF_MOD);
+ }
+ else {
+ native:
+ return umod_2exp<To_Policy, From_Policy>(to, x, exp, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy,
+ typename To, typename From>
+inline Result
+sqrt_ext(To& to, const From& x, Rounding_Dir dir) {
+ if (!ext_to_handle<From_Policy>(x))
+ goto native;
+ if (is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(x)) {
+ return assign_nan<To_Policy>(to, V_SQRT_NEG);
+ }
+ else if (is_pinf<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else {
+ native:
+ return sqrt<To_Policy, From_Policy>(to, x, dir);
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+gcd_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x))
+ return abs_ext<To_Policy, From2_Policy>(to, y, dir);
+ else if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y))
+ return abs_ext<To_Policy, From1_Policy>(to, x, dir);
+ else
+ return gcd<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+}
+
+template <typename To1_Policy, typename To2_Policy, typename To3_Policy,
+ typename From1_Policy, typename From2_Policy,
+ typename To1, typename To2, typename To3,
+ typename From1, typename From2>
+inline Result
+gcdext_ext(To1& to, To2& s, To3& t, const From1& x, const From2& y,
+ Rounding_Dir dir) {
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To1_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x)) {
+ s = 0;
+ t = y > 0 ? -1 : 1;
+ return abs_ext<To1_Policy, From2_Policy>(to, y, dir);
+ }
+ else if (is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y)) {
+ s = x > 0 ? -1 : 1;
+ t = 0;
+ return abs_ext<To1_Policy, From1_Policy>(to, x, dir);
+ }
+ else
+ return gcdext<To1_Policy, To2_Policy, To3_Policy, From1_Policy, From2_Policy>(to, s, t, x, y, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+lcm_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x)
+ || is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ else
+ return lcm<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline Result_Relation
+cmp_ext(const Type1& x, const Type2& y) {
+ if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
+ goto native;
+ if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
+ return VR_EMPTY;
+ else if (is_minf<Policy1>(x))
+ return is_minf<Policy2>(y) ? VR_EQ : VR_LT;
+ else if (is_pinf<Policy1>(x))
+ return is_pinf<Policy2>(y) ? VR_EQ : VR_GT;
+ else {
+ if (is_minf<Policy2>(y))
+ return VR_GT;
+ if (is_pinf<Policy2>(y))
+ return VR_LT;
+ native:
+ return cmp<Policy1, Policy2>(x, y);
+ }
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+lt_ext(const Type1& x, const Type2& y) {
+ if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
+ goto native;
+ if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
+ return false;
+ if (is_pinf<Policy1>(x) || is_minf<Policy2>(y))
+ return false;
+ if (is_minf<Policy1>(x) || is_pinf<Policy2>(y))
+ return true;
+ native:
+ return lt_p<Policy1, Policy2>(x, y);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+gt_ext(const Type1& x, const Type2& y) {
+ return lt_ext<Policy1, Policy2>(y, x);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+le_ext(const Type1& x, const Type2& y) {
+ if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
+ goto native;
+ if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
+ return false;
+ if (is_minf<Policy1>(x) || is_pinf<Policy2>(y))
+ return true;
+ if (is_pinf<Policy1>(x) || is_minf<Policy2>(y))
+ return false;
+ native:
+ return le_p<Policy1, Policy2>(x, y);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+ge_ext(const Type1& x, const Type2& y) {
+ return le_ext<Policy1, Policy2>(y, x);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+eq_ext(const Type1& x, const Type2& y) {
+ if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
+ goto native;
+ if (is_nan<Policy1>(x) || is_nan<Policy2>(y))
+ return false;
+ if (is_minf<Policy1>(x))
+ return is_minf<Policy2>(y);
+ if (is_pinf<Policy1>(x))
+ return is_pinf<Policy2>(y);
+ else if (is_minf<Policy2>(y) || is_pinf<Policy2>(y))
+ return false;
+ native:
+ return eq_p<Policy1, Policy2>(x, y);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+ne_ext(const Type1& x, const Type2& y) {
+ return !eq_ext<Policy1, Policy2>(x, y);
+}
+
+template <typename Policy, typename Type>
+inline Result
+output_ext(std::ostream& os, const Type& x,
+ const Numeric_Format& format, Rounding_Dir dir) {
+ if (!ext_to_handle<Policy>(x))
+ goto native;
+ if (is_nan<Policy>(x)) {
+ os << "nan";
+ return V_NAN;
+ }
+ if (is_minf<Policy>(x)) {
+ os << "-inf";
+ return V_EQ;
+ }
+ if (is_pinf<Policy>(x)) {
+ os << "+inf";
+ return V_EQ;
+ }
+ native:
+ return output<Policy>(os, x, format, dir);
+}
+
+template <typename To_Policy, typename To>
+inline Result
+input_ext(To& to, std::istream& is, Rounding_Dir dir) {
+ return input<To_Policy>(to, is, dir);
+}
+
+} // namespace Checked
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_checked_ext_defs_hh)
diff --git a/src/checked_float.inlines.hh b/src/checked_float.inlines.hh
deleted file mode 100644
index 42fd370..0000000
--- a/src/checked_float.inlines.hh
+++ /dev/null
@@ -1,1236 +0,0 @@
-/* Specialized "checked" functions for native floating-point numbers.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_float_inlines_hh
-#define PPL_checked_float_inlines_hh 1
-
-#include "compiler.hh"
-#ifndef __alpha
-#include <cmath>
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-namespace Checked {
-
-inline float
-multiply_add(float x, float y, float z) {
-#if PPL_HAVE_DECL_FMAF && defined(FP_FAST_FMAF) \
- && !defined(__alpha) && !defined(__FreeBSD__)
- return fmaf(x, y, z);
-#else
- return x*y + z;
-#endif
-}
-
-inline double
-multiply_add(double x, double y, double z) {
-#if PPL_HAVE_DECL_FMA && defined(FP_FAST_FMA) \
- && !defined(__alpha) && !defined(__FreeBSD__)
- return fma(x, y, z);
-#else
- return x*y + z;
-#endif
-}
-
-inline long double
-multiply_add(long double x, long double y, long double z) {
-#if PPL_HAVE_DECL_FMAL && defined(FP_FAST_FMAL) \
- && !defined(__alpha) && !defined(__FreeBSD__)
- return fmal(x, y, z);
-#else
- return x*y + z;
-#endif
-}
-
-#if PPL_HAVE_DECL_RINTF
-inline float
-round_to_integer(float x) {
- return rintf(x);
-}
-#endif
-
-inline double
-round_to_integer(double x) {
- return rint(x);
-}
-
-#if PPL_HAVE_DECL_RINTL
-inline long double
-round_to_integer(long double x) {
- return rintl(x);
-}
-#elif !PPL_CXX_PROVIDES_PROPER_LONG_DOUBLE
-// If proper long doubles are not provided, this is most likely
-// because long double and double are the same type: use rint().
-inline long double
-round_to_integer(long double x) {
- return rint(x);
-}
-#elif defined(__i386__) && (defined(__GNUC__) || defined(__INTEL_COMPILER))
-// On Cygwin, we have proper long doubles but rintl() is not defined:
-// luckily, one machine instruction is enough to save the day.
-inline long double
-round_to_integer(long double x) {
- long double i;
- __asm__ ("frndint" : "=t" (i) : "0" (x));
- return i;
-}
-#endif
-
-inline bool
-fpu_direct_rounding(Rounding_Dir dir) {
- return round_direct(dir) || round_not_requested(dir);
-}
-
-inline bool
-fpu_inverse_rounding(Rounding_Dir dir) {
- return round_inverse(dir);
-}
-
-// The FPU mode is "round down".
-//
-// The result of the rounded down multiplication is thus computed directly.
-//
-// a = 0.3
-// b = 0.1
-// c_i = a * b = 0.03
-// c = c_i = 0.0
-//
-// To obtain the result of the rounded up multiplication
-// we do -(-a * b).
-//
-// a = 0.3
-// b = 0.1
-// c_i = -a * b = -0.03
-//
-// Here c_i should be forced to lose excess precision, otherwise the
-// FPU will truncate using the rounding mode in force, which is "round down".
-//
-// c_i = -c_i = 0.03
-// c = c_i = 0.0
-//
-// Wrong result: we should have obtained c = 0.1.
-
-inline void
-limit_precision(const float& v) {
- PPL_CC_FLUSH(v);
-}
-
-inline void
-limit_precision(const double& v) {
- PPL_CC_FLUSH(v);
-}
-
-inline void
-limit_precision(const long double&) {
-}
-
-template <typename Policy, typename T>
-inline Result
-classify_float(const T v, bool nan, bool inf, bool sign) {
- Float<T> f(v);
- if ((nan || sign) && CHECK_P(Policy::has_nan, f.u.binary.is_nan()))
- return V_NAN;
- if (inf) {
- if (Policy::has_infinity) {
- int sign_inf = f.u.binary.inf_sign();
- if (sign_inf < 0)
- return V_EQ_MINUS_INFINITY;
- if (sign_inf > 0)
- return V_EQ_PLUS_INFINITY;
- }
- else
- PPL_ASSERT(f.u.binary.inf_sign() == 0);
- }
- if (sign) {
- if (v < 0)
- return V_LT;
- if (v > 0)
- return V_GT;
- return V_EQ;
- }
- return V_LGE;
-}
-
-template <typename Policy, typename T>
-inline bool
-is_nan_float(const T v) {
- Float<T> f(v);
- return CHECK_P(Policy::has_nan, f.u.binary.is_nan());
-}
-
-template <typename Policy, typename T>
-inline bool
-is_inf_float(const T v) {
- Float<T> f(v);
- return CHECK_P(Policy::has_infinity, (f.u.binary.inf_sign() != 0));
-}
-template <typename Policy, typename T>
-inline bool
-is_minf_float(const T v) {
- Float<T> f(v);
- return CHECK_P(Policy::has_infinity, (f.u.binary.inf_sign() < 0));
-}
-
-template <typename Policy, typename T>
-inline bool
-is_pinf_float(const T v) {
- Float<T> f(v);
- return CHECK_P(Policy::has_infinity, (f.u.binary.inf_sign() > 0));
-}
-
-
-template <typename Policy, typename T>
-inline bool
-is_int_float(const T v) {
- return round_to_integer(v) == v;
-}
-
-template <typename Policy, typename T>
-inline Result
-assign_special_float(T& v, Result_Class c, Rounding_Dir) {
- PPL_ASSERT(c == VC_MINUS_INFINITY || c == VC_PLUS_INFINITY || c == VC_NAN);
- switch (c) {
- case VC_MINUS_INFINITY:
- v = -HUGE_VAL;
- return V_EQ_MINUS_INFINITY;
- case VC_PLUS_INFINITY:
- v = HUGE_VAL;
- return V_EQ_PLUS_INFINITY;
- case VC_NAN:
- v = PPL_NAN;
- return V_NAN;
- default:
- PPL_UNREACHABLE;
- return V_NAN | V_UNREPRESENTABLE;
- }
-}
-
-template <typename T>
-inline void
-pred_float(T& v) {
- Float<T> f(v);
- PPL_ASSERT(!f.u.binary.is_nan());
- PPL_ASSERT(f.u.binary.inf_sign() >= 0);
- if (f.u.binary.zero_sign() > 0) {
- f.u.binary.negate();
- f.u.binary.inc();
- }
- else if (f.u.binary.sign_bit()) {
- f.u.binary.inc();
- }
- else {
- f.u.binary.dec();
- }
- v = f.value();
-}
-
-template <typename T>
-inline void
-succ_float(T& v) {
- Float<T> f(v);
- PPL_ASSERT(!f.u.binary.is_nan());
- PPL_ASSERT(f.u.binary.inf_sign() <= 0);
- if (f.u.binary.zero_sign() < 0) {
- f.u.binary.negate();
- f.u.binary.inc();
- }
- else if (!f.u.binary.sign_bit()) {
- f.u.binary.inc();
- }
- else {
- f.u.binary.dec();
- }
- v = f.value();
-}
-
-template <typename Policy, typename To>
-inline Result
-round_lt_float(To& to, Rounding_Dir dir) {
- if (round_down(dir)) {
- pred_float(to);
- return V_GT;
- }
- return V_LT;
-}
-
-template <typename Policy, typename To>
-inline Result
-round_gt_float(To& to, Rounding_Dir dir) {
- if (round_up(dir)) {
- succ_float(to);
- return V_LT;
- }
- return V_GT;
-}
-
-
-template <typename Policy>
-inline void
-prepare_inexact(Rounding_Dir dir) {
- if (Policy::fpu_check_inexact
- && !round_not_needed(dir) && round_strict_relation(dir))
- fpu_reset_inexact();
-}
-
-template <typename Policy>
-inline Result
-result_relation(Rounding_Dir dir) {
- if (Policy::fpu_check_inexact
- && !round_not_needed(dir) && round_strict_relation(dir)) {
- switch (fpu_check_inexact()) {
- case 0:
- return V_EQ;
- case -1:
- goto unknown;
- case 1:
- break;
- }
- switch (round_dir(dir)) {
- case ROUND_DOWN:
- return V_GT;
- case ROUND_UP:
- return V_LT;
- default:
- return V_NE;
- }
- }
- else {
- unknown:
- switch (round_dir(dir)) {
- case ROUND_DOWN:
- return V_GE;
- case ROUND_UP:
- return V_LE;
- default:
- return V_LGE;
- }
- }
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_float_float_exact(To& to, const From from, Rounding_Dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- to = from;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_float_float_inexact(To& to, const From from, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = from;
- else if (fpu_inverse_rounding(dir)) {
- From tmp = -from;
- to = tmp;
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(from);
- to = from;
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_float_float(To& to, const From from, Rounding_Dir dir) {
- if (sizeof(From) > sizeof(To))
- return assign_float_float_inexact<To_Policy, From_Policy>(to, from, dir);
- else
- return assign_float_float_exact<To_Policy, From_Policy>(to, from, dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-floor_float(Type& to, const Type from, Rounding_Dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (fpu_direct_rounding(ROUND_DOWN))
- to = round_to_integer(from);
- else if (fpu_inverse_rounding(ROUND_DOWN)) {
- to = round_to_integer(-from);
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(ROUND_DOWN));
- limit_precision(from);
- to = round_to_integer(from);
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-ceil_float(Type& to, const Type from, Rounding_Dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (fpu_direct_rounding(ROUND_UP))
- to = round_to_integer(from);
- else if (fpu_inverse_rounding(ROUND_UP)) {
- to = round_to_integer(-from);
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(ROUND_UP));
- limit_precision(from);
- to = round_to_integer(from);
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-trunc_float(Type& to, const Type from, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (from >= 0)
- return floor<To_Policy, From_Policy>(to, from, dir);
- else
- return ceil<To_Policy, From_Policy>(to, from, dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-neg_float(Type& to, const Type from, Rounding_Dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- to = -from;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-add_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_inf_add_inf
- && is_inf_float<From1_Policy>(x) && x == -y) {
- return assign_nan<To_Policy>(to, V_INF_ADD_INF);
- }
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = x + y;
- else if (fpu_inverse_rounding(dir)) {
- to = -x - y;
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(x);
- limit_precision(y);
- to = x + y;
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-sub_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_inf_sub_inf
- && is_inf_float<From1_Policy>(x) && x == y) {
- return assign_nan<To_Policy>(to, V_INF_SUB_INF);
- }
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = x - y;
- else if (fpu_inverse_rounding(dir)) {
- to = y - x;
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(x);
- limit_precision(y);
- to = x - y;
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_inf_mul_zero
- && ((x == 0 && is_inf_float<From2_Policy>(y))
- ||
- (y == 0 && is_inf_float<From1_Policy>(x)))) {
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
- }
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = x * y;
- else if (fpu_inverse_rounding(dir)) {
- to = x * -y;
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(x);
- limit_precision(y);
- to = x * y;
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-div_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_inf_div_inf
- && is_inf_float<From1_Policy>(x) && is_inf_float<From2_Policy>(y)) {
- return assign_nan<To_Policy>(to, V_INF_DIV_INF);
- }
- if (To_Policy::check_div_zero && y == 0) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = x / y;
- else if (fpu_inverse_rounding(dir)) {
- to = x / -y;
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(x);
- limit_precision(y);
- to = x / y;
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-idiv_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- Type temp;
- // The inexact check is useless
- dir = round_dir(dir);
- Result r = div<To_Policy, From1_Policy, From2_Policy>(temp, x, y, dir);
- if (result_class(r) != VC_NORMAL) {
- to = temp;
- return r;
- }
- Result r1 = trunc<To_Policy, To_Policy>(to, temp, ROUND_NOT_NEEDED);
- PPL_ASSERT(r1 == V_EQ);
- if (r == V_EQ || to != temp)
- return r1;
- // FIXME: Prove that it is impossible to return a strict relation
- return (dir == ROUND_UP) ? V_LE : V_GE;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-rem_float(Type& to, const Type x, const Type y, Rounding_Dir) {
- if (To_Policy::check_inf_mod && is_inf_float<From1_Policy>(x)) {
- return assign_nan<To_Policy>(to, V_INF_MOD);
- }
- if (To_Policy::check_div_zero && y == 0) {
- return assign_nan<To_Policy>(to, V_MOD_ZERO);
- }
- to = std::fmod(x, y);
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return V_EQ;
-}
-
-struct Float_2exp {
- const_bool_nodef(has_nan, false);
- const_bool_nodef(has_infinity, false);
-};
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-add_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
- return
- add<To_Policy, From_Policy, Float_2exp>(to,
- x,
- Type(1ULL << exp),
- dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-sub_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
- return
- sub<To_Policy, From_Policy, Float_2exp>(to,
- x,
- Type(1ULL << exp),
- dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-mul_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
- return
- mul<To_Policy, From_Policy, Float_2exp>(to,
- x,
- Type(1ULL << exp),
- dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-div_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
- return
- div<To_Policy, From_Policy, Float_2exp>(to,
- x,
- Type(1ULL << exp),
- dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-smod_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (To_Policy::check_inf_mod && is_inf_float<From_Policy>(x)) {
- return assign_nan<To_Policy>(to, V_INF_MOD);
- }
- PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
- Type m = 1ULL << exp;
- rem_float<To_Policy, From_Policy, Float_2exp>(to, x, m, ROUND_IGNORE);
- Type m2 = m / 2;
- if (to < -m2)
- return add_float<To_Policy, From_Policy, Float_2exp>(to, to, m, dir);
- else if (to >= m2)
- return sub_float<To_Policy, From_Policy, Float_2exp>(to, to, m, dir);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-umod_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (To_Policy::check_inf_mod && is_inf_float<From_Policy>(x)) {
- return assign_nan<To_Policy>(to, V_INF_MOD);
- }
- PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
- Type m = 1ULL << exp;
- rem_float<To_Policy, From_Policy, Float_2exp>(to, x, m, ROUND_IGNORE);
- if (to < 0)
- return add_float<To_Policy, From_Policy, Float_2exp>(to, to, m, dir);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-abs_float(Type& to, const Type from, Rounding_Dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- to = std::abs(from);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-sqrt_float(Type& to, const Type from, Rounding_Dir dir) {
- if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- if (To_Policy::check_sqrt_neg && from < 0) {
- return assign_nan<To_Policy>(to, V_SQRT_NEG);
- }
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = std::sqrt(from);
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(from);
- to = std::sqrt(from);
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- return result_relation<To_Policy>(dir);
-}
-
-template <typename Policy, typename Type>
-inline Result_Relation
-sgn_float(const Type x) {
- if (x > 0)
- return VR_GT;
- if (x < 0)
- return VR_LT;
- if (x == 0)
- return VR_EQ;
- return VR_EMPTY;
-}
-
-template <typename Policy1, typename Policy2, typename Type>
-inline Result_Relation
-cmp_float(const Type x, const Type y) {
- if (x > y)
- return VR_GT;
- if (x < y)
- return VR_LT;
- if (x == y)
- return VR_EQ;
- return VR_EMPTY;
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_float_int_inexact(To& to, const From from, Rounding_Dir dir) {
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = from;
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- to = from;
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_float_int(To& to, const From from, Rounding_Dir dir) {
- if (sizeof_to_bits(sizeof(From)) > Float<To>::Binary::MANTISSA_BITS)
- return assign_float_int_inexact<To_Policy, From_Policy>(to, from, dir);
- else
- return assign_exact<To_Policy, From_Policy>(to, from, dir);
-}
-
-template <typename Policy, typename T>
-inline Result
-set_neg_overflow_float(T& to, Rounding_Dir dir) {
- switch (round_dir(dir)) {
- case ROUND_UP:
- {
- Float<T> f;
- f.u.binary.set_max(true);
- to = f.value();
- return V_LT_INF;
- }
- case ROUND_DOWN: // Fall through.
- case ROUND_IGNORE:
- to = -HUGE_VAL;
- return V_GT_MINUS_INFINITY;
- default:
- PPL_UNREACHABLE;
- return V_GT_MINUS_INFINITY;
- }
-}
-
-template <typename Policy, typename T>
-inline Result
-set_pos_overflow_float(T& to, Rounding_Dir dir) {
- switch (round_dir(dir)) {
- case ROUND_DOWN:
- {
- Float<T> f;
- f.u.binary.set_max(false);
- to = f.value();
- return V_GT_SUP;
- }
- case ROUND_UP: // Fall through.
- case ROUND_IGNORE:
- to = HUGE_VAL;
- return V_LT_PLUS_INFINITY;
- default:
- PPL_UNREACHABLE;
- return V_LT_PLUS_INFINITY;
- }
-}
-
-template <typename To_Policy, typename From_Policy, typename T>
-inline Result
-assign_float_mpz(T& to, const mpz_class& from, Rounding_Dir dir) {
- int sign = sgn(from);
- if (sign == 0) {
- to = 0;
- return V_EQ;
- }
- mpz_srcptr from_z = from.get_mpz_t();
- size_t exponent = mpz_sizeinbase(from_z, 2) - 1;
- if (exponent > size_t(Float<T>::Binary::EXPONENT_MAX)) {
- if (sign < 0)
- return set_neg_overflow_float<To_Policy>(to, dir);
- else
- return set_pos_overflow_float<To_Policy>(to, dir);
- }
- unsigned long zeroes = mpn_scan1(from_z->_mp_d, 0);
- size_t meaningful_bits = exponent - zeroes;
- mpz_t mantissa;
- mpz_init(mantissa);
- if (exponent > Float<T>::Binary::MANTISSA_BITS)
- mpz_tdiv_q_2exp(mantissa,
- from_z,
- exponent - Float<T>::Binary::MANTISSA_BITS);
- else
- mpz_mul_2exp(mantissa, from_z, Float<T>::Binary::MANTISSA_BITS - exponent);
- Float<T> f;
- f.u.binary.build(sign < 0, mantissa, static_cast<long>(exponent));
- mpz_clear(mantissa);
- to = f.value();
- if (meaningful_bits > Float<T>::Binary::MANTISSA_BITS) {
- if (sign < 0)
- return round_lt_float<To_Policy>(to, dir);
- else
- return round_gt_float<To_Policy>(to, dir);
- }
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename T>
-inline Result
-assign_float_mpq(T& to, const mpq_class& from, Rounding_Dir dir) {
- const mpz_class& numer = from.get_num();
- const mpz_class& denom = from.get_den();
- if (denom == 1)
- return assign_float_mpz<To_Policy, From_Policy>(to, numer, dir);
- mpz_srcptr numer_z = numer.get_mpz_t();
- mpz_srcptr denom_z = denom.get_mpz_t();
- int sign = sgn(numer);
- long exponent = static_cast<long>(mpz_sizeinbase(numer_z, 2))
- - static_cast<long>(mpz_sizeinbase(denom_z, 2));
- if (exponent < Float<T>::Binary::EXPONENT_MIN_DENORM) {
- to = 0;
- inexact:
- if (sign < 0)
- return round_lt_float<To_Policy>(to, dir);
- else
- return round_gt_float<To_Policy>(to, dir);
- }
- if (exponent > Float<T>::Binary::EXPONENT_MAX + 1) {
- overflow:
- if (sign < 0)
- return set_neg_overflow_float<To_Policy>(to, dir);
- else
- return set_pos_overflow_float<To_Policy>(to, dir);
- }
- unsigned int needed_bits = Float<T>::Binary::MANTISSA_BITS + 1;
- if (exponent < Float<T>::Binary::EXPONENT_MIN) {
- long diff = Float<T>::Binary::EXPONENT_MIN - exponent;
- needed_bits -= static_cast<unsigned int>(diff);
- }
- mpz_t mantissa;
- mpz_init(mantissa);
- {
- long shift = static_cast<long>(needed_bits) - exponent;
- if (shift > 0) {
- mpz_mul_2exp(mantissa, numer_z, static_cast<unsigned long>(shift));
- numer_z = mantissa;
- }
- else if (shift < 0) {
- shift = -shift;
- mpz_mul_2exp(mantissa, denom_z, static_cast<unsigned long>(shift));
- denom_z = mantissa;
- }
- }
- mpz_t r;
- mpz_init(r);
- mpz_tdiv_qr(mantissa, r, numer_z, denom_z);
- size_t bits = mpz_sizeinbase(mantissa, 2);
- bool inexact = (mpz_sgn(r) != 0);
- mpz_clear(r);
- if (bits == needed_bits + 1) {
- inexact = (inexact || mpz_odd_p(mantissa));
- mpz_tdiv_q_2exp(mantissa, mantissa, 1);
- }
- else
- --exponent;
- if (exponent > Float<T>::Binary::EXPONENT_MAX) {
- mpz_clear(mantissa);
- goto overflow;
- }
- else if (exponent < Float<T>::Binary::EXPONENT_MIN - 1) {
- // Denormalized.
- exponent = Float<T>::Binary::EXPONENT_MIN - 1;
- }
- Float<T> f;
- f.u.binary.build(sign < 0, mantissa, exponent);
- mpz_clear(mantissa);
- to = f.value();
- if (inexact)
- goto inexact;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-add_mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_inf_mul_zero
- && ((x == 0 && is_inf_float<From2_Policy>(y))
- ||
- (y == 0 && is_inf_float<From1_Policy>(x)))) {
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
- }
- // FIXME: missing check_inf_add_inf
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = multiply_add(x, y, to);
- else if (fpu_inverse_rounding(dir)) {
- to = multiply_add(-x, y, -to);
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(x);
- limit_precision(y);
- limit_precision(to);
- to = multiply_add(x, y, to);
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return result_relation<To_Policy>(dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy, typename Type>
-inline Result
-sub_mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_inf_mul_zero
- && ((x == 0 && is_inf_float<From2_Policy>(y))
- ||
- (y == 0 && is_inf_float<From1_Policy>(x)))) {
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
- }
- // FIXME: missing check_inf_add_inf
- prepare_inexact<To_Policy>(dir);
- if (fpu_direct_rounding(dir))
- to = multiply_add(x, -y, to);
- else if (fpu_inverse_rounding(dir)) {
- to = multiply_add(x, y, -to);
- limit_precision(to);
- to = -to;
- }
- else {
- fpu_rounding_control_word_type old
- = fpu_save_rounding_direction(round_fpu_dir(dir));
- limit_precision(x);
- limit_precision(y);
- limit_precision(to);
- to = multiply_add(x, -y, to);
- limit_precision(to);
- fpu_restore_rounding_direction(old);
- }
- if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
- return V_NAN;
- return result_relation<To_Policy>(dir);
-}
-
-template <typename From>
-inline void
-assign_mpq_numeric_float(mpq_class& to, const From from) {
- to = from;
-}
-
-template <>
-inline void
-assign_mpq_numeric_float(mpq_class& to, const long double from) {
- to = 0;
- if (from == 0)
- return;
- mpz_class& num = to.get_num();
- mpz_class& den = to.get_den();
- int exp;
- long double n = frexpl(from, &exp);
- bool neg = false;
- if (n < 0) {
- neg = true;
- n = -n;
- }
- const long double mult = static_cast<long double>(ULONG_MAX) + 1;
- const unsigned int bits = sizeof(unsigned long) * CHAR_BIT;
- while (true) {
- n *= mult;
- exp -= bits;
- long double intpart = floorl(n);
- num += (unsigned long)intpart;
- n -= intpart;
- if (n == 0)
- break;
- num <<= bits;
- }
- if (exp < 0)
- den <<= -exp;
- else
- num <<= exp;
- if (neg)
- to = -to;
- to.canonicalize();
-}
-
-template <typename Policy, typename Type>
-inline Result
-output_float(std::ostream& os, const Type from, const Numeric_Format&,
- Rounding_Dir) {
- if (from == 0)
- os << "0";
- else if (is_minf<Policy>(from))
- os << "-inf";
- else if (is_pinf<Policy>(from))
- os << "+inf";
- else if (is_nan<Policy>(from))
- os << "nan";
- else {
- mpq_class q;
- assign_mpq_numeric_float(q, from);
- std::string s = float_mpq_to_string(q);
- os << s;
- }
- return V_EQ;
-}
-
-#if PPL_SUPPORTED_FLOAT
-PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, float, float)
-#if PPL_SUPPORTED_DOUBLE
-PPL_SPECIALIZE_ASSIGN(assign_float_float, float, double)
-PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, double, float)
-#endif
-#if PPL_SUPPORTED_LONG_DOUBLE
-PPL_SPECIALIZE_ASSIGN(assign_float_float, float, long double)
-PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, long double, float)
-#endif
-#endif
-
-#if PPL_SUPPORTED_DOUBLE
-PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, double, double)
-#if PPL_SUPPORTED_LONG_DOUBLE
-PPL_SPECIALIZE_ASSIGN(assign_float_float, double, long double)
-PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, long double, double)
-#endif
-#endif
-
-#if PPL_SUPPORTED_LONG_DOUBLE
-PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, long double, long double)
-#endif
-
-#if PPL_SUPPORTED_FLOAT
-PPL_SPECIALIZE_CLASSIFY(classify_float, float)
-PPL_SPECIALIZE_IS_NAN(is_nan_float, float)
-PPL_SPECIALIZE_IS_MINF(is_minf_float, float)
-PPL_SPECIALIZE_IS_PINF(is_pinf_float, float)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_float, float)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed short)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed int)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed long long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned short)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned int)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned long long)
-PPL_SPECIALIZE_ASSIGN(assign_float_mpz, float, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_float_mpq, float, mpq_class)
-PPL_SPECIALIZE_COPY(copy_generic, float)
-PPL_SPECIALIZE_IS_INT(is_int_float, float)
-PPL_SPECIALIZE_FLOOR(floor_float, float, float)
-PPL_SPECIALIZE_CEIL(ceil_float, float, float)
-PPL_SPECIALIZE_TRUNC(trunc_float, float, float)
-PPL_SPECIALIZE_NEG(neg_float, float, float)
-PPL_SPECIALIZE_ABS(abs_float, float, float)
-PPL_SPECIALIZE_ADD(add_float, float, float, float)
-PPL_SPECIALIZE_SUB(sub_float, float, float, float)
-PPL_SPECIALIZE_MUL(mul_float, float, float, float)
-PPL_SPECIALIZE_DIV(div_float, float, float, float)
-PPL_SPECIALIZE_REM(rem_float, float, float, float)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_float, float, float)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_float, float, float)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_float, float, float)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_float, float, float)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_float, float, float)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, float, float)
-PPL_SPECIALIZE_SQRT(sqrt_float, float, float)
-PPL_SPECIALIZE_GCD(gcd_exact, float, float, float)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, float, float, float, float, float)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, float, float, float)
-PPL_SPECIALIZE_SGN(sgn_float, float)
-PPL_SPECIALIZE_CMP(cmp_float, float, float)
-PPL_SPECIALIZE_ADD_MUL(add_mul_float, float, float, float)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_float, float, float, float)
-PPL_SPECIALIZE_INPUT(input_generic, float)
-PPL_SPECIALIZE_OUTPUT(output_float, float)
-#endif
-
-#if PPL_SUPPORTED_DOUBLE
-PPL_SPECIALIZE_CLASSIFY(classify_float, double)
-PPL_SPECIALIZE_IS_NAN(is_nan_float, double)
-PPL_SPECIALIZE_IS_MINF(is_minf_float, double)
-PPL_SPECIALIZE_IS_PINF(is_pinf_float, double)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_float, double)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed short)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed int)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed long long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned short)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned int)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned long long)
-PPL_SPECIALIZE_ASSIGN(assign_float_mpz, double, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_float_mpq, double, mpq_class)
-PPL_SPECIALIZE_COPY(copy_generic, double)
-PPL_SPECIALIZE_IS_INT(is_int_float, double)
-PPL_SPECIALIZE_FLOOR(floor_float, double, double)
-PPL_SPECIALIZE_CEIL(ceil_float, double, double)
-PPL_SPECIALIZE_TRUNC(trunc_float, double, double)
-PPL_SPECIALIZE_NEG(neg_float, double, double)
-PPL_SPECIALIZE_ABS(abs_float, double, double)
-PPL_SPECIALIZE_ADD(add_float, double, double, double)
-PPL_SPECIALIZE_SUB(sub_float, double, double, double)
-PPL_SPECIALIZE_MUL(mul_float, double, double, double)
-PPL_SPECIALIZE_DIV(div_float, double, double, double)
-PPL_SPECIALIZE_REM(rem_float, double, double, double)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_float, double, double)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_float, double, double)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_float, double, double)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_float, double, double)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_float, double, double)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, double, double)
-PPL_SPECIALIZE_SQRT(sqrt_float, double, double)
-PPL_SPECIALIZE_GCD(gcd_exact, double, double, double)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, double, double, double, double, double)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, double, double, double)
-PPL_SPECIALIZE_SGN(sgn_float, double)
-PPL_SPECIALIZE_CMP(cmp_float, double, double)
-PPL_SPECIALIZE_ADD_MUL(add_mul_float, double, double, double)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_float, double, double, double)
-PPL_SPECIALIZE_INPUT(input_generic, double)
-PPL_SPECIALIZE_OUTPUT(output_float, double)
-#endif
-
-#if PPL_SUPPORTED_LONG_DOUBLE
-PPL_SPECIALIZE_CLASSIFY(classify_float, long double)
-PPL_SPECIALIZE_IS_NAN(is_nan_float, long double)
-PPL_SPECIALIZE_IS_MINF(is_minf_float, long double)
-PPL_SPECIALIZE_IS_PINF(is_pinf_float, long double)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_float, long double)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed short)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed int)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed long long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned char)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned short)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned int)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned long)
-PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned long long)
-PPL_SPECIALIZE_ASSIGN(assign_float_mpz, long double, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_float_mpq, long double, mpq_class)
-PPL_SPECIALIZE_COPY(copy_generic, long double)
-PPL_SPECIALIZE_IS_INT(is_int_float, long double)
-PPL_SPECIALIZE_FLOOR(floor_float, long double, long double)
-PPL_SPECIALIZE_CEIL(ceil_float, long double, long double)
-PPL_SPECIALIZE_TRUNC(trunc_float, long double, long double)
-PPL_SPECIALIZE_NEG(neg_float, long double, long double)
-PPL_SPECIALIZE_ABS(abs_float, long double, long double)
-PPL_SPECIALIZE_ADD(add_float, long double, long double, long double)
-PPL_SPECIALIZE_SUB(sub_float, long double, long double, long double)
-PPL_SPECIALIZE_MUL(mul_float, long double, long double, long double)
-PPL_SPECIALIZE_DIV(div_float, long double, long double, long double)
-PPL_SPECIALIZE_REM(rem_float, long double, long double, long double)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_float, long double, long double)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_float, long double, long double)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_float, long double, long double)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_float, long double, long double)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_float, long double, long double)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, long double, long double)
-PPL_SPECIALIZE_SQRT(sqrt_float, long double, long double)
-PPL_SPECIALIZE_GCD(gcd_exact, long double, long double, long double)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, long double, long double, long double,
- long double, long double)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, long double, long double, long double)
-PPL_SPECIALIZE_SGN(sgn_float, long double)
-PPL_SPECIALIZE_CMP(cmp_float, long double, long double)
-PPL_SPECIALIZE_ADD_MUL(add_mul_float, long double, long double, long double)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_float, long double, long double, long double)
-PPL_SPECIALIZE_INPUT(input_generic, long double)
-PPL_SPECIALIZE_OUTPUT(output_float, long double)
-#endif
-
-} // namespace Checked
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_checked_int_inlines_hh)
diff --git a/src/checked_float_inlines.hh b/src/checked_float_inlines.hh
new file mode 100644
index 0000000..89946d4
--- /dev/null
+++ b/src/checked_float_inlines.hh
@@ -0,0 +1,1234 @@
+/* Specialized "checked" functions for native floating-point numbers.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_float_inlines_hh
+#define PPL_checked_float_inlines_hh 1
+
+#include "compiler.hh"
+#include <cmath>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Checked {
+
+inline float
+multiply_add(float x, float y, float z) {
+#if PPL_HAVE_DECL_FMAF && defined(FP_FAST_FMAF) \
+ && !defined(__alpha) && !defined(__FreeBSD__)
+ return fmaf(x, y, z);
+#else
+ return x*y + z;
+#endif
+}
+
+inline double
+multiply_add(double x, double y, double z) {
+#if PPL_HAVE_DECL_FMA && defined(FP_FAST_FMA) \
+ && !defined(__alpha) && !defined(__FreeBSD__)
+ return fma(x, y, z);
+#else
+ return x*y + z;
+#endif
+}
+
+inline long double
+multiply_add(long double x, long double y, long double z) {
+#if PPL_HAVE_DECL_FMAL && defined(FP_FAST_FMAL) \
+ && !defined(__alpha) && !defined(__FreeBSD__)
+ return fmal(x, y, z);
+#else
+ return x*y + z;
+#endif
+}
+
+#if PPL_HAVE_DECL_RINTF
+inline float
+round_to_integer(float x) {
+ return rintf(x);
+}
+#endif
+
+inline double
+round_to_integer(double x) {
+ return rint(x);
+}
+
+#if PPL_HAVE_DECL_RINTL
+inline long double
+round_to_integer(long double x) {
+ return rintl(x);
+}
+#elif !PPL_CXX_PROVIDES_PROPER_LONG_DOUBLE
+// If proper long doubles are not provided, this is most likely
+// because long double and double are the same type: use rint().
+inline long double
+round_to_integer(long double x) {
+ return rint(x);
+}
+#elif defined(__i386__) && (defined(__GNUC__) || defined(__INTEL_COMPILER))
+// On Cygwin, we have proper long doubles but rintl() is not defined:
+// luckily, one machine instruction is enough to save the day.
+inline long double
+round_to_integer(long double x) {
+ long double i;
+ __asm__ ("frndint" : "=t" (i) : "0" (x));
+ return i;
+}
+#endif
+
+inline bool
+fpu_direct_rounding(Rounding_Dir dir) {
+ return round_direct(dir) || round_not_requested(dir);
+}
+
+inline bool
+fpu_inverse_rounding(Rounding_Dir dir) {
+ return round_inverse(dir);
+}
+
+// The FPU mode is "round down".
+//
+// The result of the rounded down multiplication is thus computed directly.
+//
+// a = 0.3
+// b = 0.1
+// c_i = a * b = 0.03
+// c = c_i = 0.0
+//
+// To obtain the result of the rounded up multiplication
+// we do -(-a * b).
+//
+// a = 0.3
+// b = 0.1
+// c_i = -a * b = -0.03
+//
+// Here c_i should be forced to lose excess precision, otherwise the
+// FPU will truncate using the rounding mode in force, which is "round down".
+//
+// c_i = -c_i = 0.03
+// c = c_i = 0.0
+//
+// Wrong result: we should have obtained c = 0.1.
+
+inline void
+limit_precision(const float& v) {
+ PPL_CC_FLUSH(v);
+}
+
+inline void
+limit_precision(const double& v) {
+ PPL_CC_FLUSH(v);
+}
+
+inline void
+limit_precision(const long double&) {
+}
+
+template <typename Policy, typename T>
+inline Result
+classify_float(const T v, bool nan, bool inf, bool sign) {
+ Float<T> f(v);
+ if ((nan || sign) && CHECK_P(Policy::has_nan, f.u.binary.is_nan()))
+ return V_NAN;
+ if (inf) {
+ if (Policy::has_infinity) {
+ int sign_inf = f.u.binary.inf_sign();
+ if (sign_inf < 0)
+ return V_EQ_MINUS_INFINITY;
+ if (sign_inf > 0)
+ return V_EQ_PLUS_INFINITY;
+ }
+ else
+ PPL_ASSERT(f.u.binary.inf_sign() == 0);
+ }
+ if (sign) {
+ if (v < 0)
+ return V_LT;
+ if (v > 0)
+ return V_GT;
+ return V_EQ;
+ }
+ return V_LGE;
+}
+
+template <typename Policy, typename T>
+inline bool
+is_nan_float(const T v) {
+ Float<T> f(v);
+ return CHECK_P(Policy::has_nan, f.u.binary.is_nan());
+}
+
+template <typename Policy, typename T>
+inline bool
+is_inf_float(const T v) {
+ Float<T> f(v);
+ return CHECK_P(Policy::has_infinity, (f.u.binary.inf_sign() != 0));
+}
+template <typename Policy, typename T>
+inline bool
+is_minf_float(const T v) {
+ Float<T> f(v);
+ return CHECK_P(Policy::has_infinity, (f.u.binary.inf_sign() < 0));
+}
+
+template <typename Policy, typename T>
+inline bool
+is_pinf_float(const T v) {
+ Float<T> f(v);
+ return CHECK_P(Policy::has_infinity, (f.u.binary.inf_sign() > 0));
+}
+
+
+template <typename Policy, typename T>
+inline bool
+is_int_float(const T v) {
+ return round_to_integer(v) == v;
+}
+
+template <typename Policy, typename T>
+inline Result
+assign_special_float(T& v, Result_Class c, Rounding_Dir) {
+ PPL_ASSERT(c == VC_MINUS_INFINITY || c == VC_PLUS_INFINITY || c == VC_NAN);
+ switch (c) {
+ case VC_MINUS_INFINITY:
+ v = -HUGE_VAL;
+ return V_EQ_MINUS_INFINITY;
+ case VC_PLUS_INFINITY:
+ v = HUGE_VAL;
+ return V_EQ_PLUS_INFINITY;
+ case VC_NAN:
+ v = PPL_NAN;
+ return V_NAN;
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN | V_UNREPRESENTABLE;
+ }
+}
+
+template <typename T>
+inline void
+pred_float(T& v) {
+ Float<T> f(v);
+ PPL_ASSERT(!f.u.binary.is_nan());
+ PPL_ASSERT(f.u.binary.inf_sign() >= 0);
+ if (f.u.binary.zero_sign() > 0) {
+ f.u.binary.negate();
+ f.u.binary.inc();
+ }
+ else if (f.u.binary.sign_bit()) {
+ f.u.binary.inc();
+ }
+ else {
+ f.u.binary.dec();
+ }
+ v = f.value();
+}
+
+template <typename T>
+inline void
+succ_float(T& v) {
+ Float<T> f(v);
+ PPL_ASSERT(!f.u.binary.is_nan());
+ PPL_ASSERT(f.u.binary.inf_sign() <= 0);
+ if (f.u.binary.zero_sign() < 0) {
+ f.u.binary.negate();
+ f.u.binary.inc();
+ }
+ else if (!f.u.binary.sign_bit()) {
+ f.u.binary.inc();
+ }
+ else {
+ f.u.binary.dec();
+ }
+ v = f.value();
+}
+
+template <typename Policy, typename To>
+inline Result
+round_lt_float(To& to, Rounding_Dir dir) {
+ if (round_down(dir)) {
+ pred_float(to);
+ return V_GT;
+ }
+ return V_LT;
+}
+
+template <typename Policy, typename To>
+inline Result
+round_gt_float(To& to, Rounding_Dir dir) {
+ if (round_up(dir)) {
+ succ_float(to);
+ return V_LT;
+ }
+ return V_GT;
+}
+
+
+template <typename Policy>
+inline void
+prepare_inexact(Rounding_Dir dir) {
+ if (Policy::fpu_check_inexact
+ && !round_not_needed(dir) && round_strict_relation(dir))
+ fpu_reset_inexact();
+}
+
+template <typename Policy>
+inline Result
+result_relation(Rounding_Dir dir) {
+ if (Policy::fpu_check_inexact
+ && !round_not_needed(dir) && round_strict_relation(dir)) {
+ switch (fpu_check_inexact()) {
+ case 0:
+ return V_EQ;
+ case -1:
+ goto unknown;
+ case 1:
+ break;
+ }
+ switch (round_dir(dir)) {
+ case ROUND_DOWN:
+ return V_GT;
+ case ROUND_UP:
+ return V_LT;
+ default:
+ return V_NE;
+ }
+ }
+ else {
+ unknown:
+ switch (round_dir(dir)) {
+ case ROUND_DOWN:
+ return V_GE;
+ case ROUND_UP:
+ return V_LE;
+ default:
+ return V_LGE;
+ }
+ }
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_float_float_exact(To& to, const From from, Rounding_Dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ to = from;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_float_float_inexact(To& to, const From from, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = from;
+ else if (fpu_inverse_rounding(dir)) {
+ From tmp = -from;
+ to = tmp;
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(from);
+ to = from;
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_float_float(To& to, const From from, Rounding_Dir dir) {
+ if (sizeof(From) > sizeof(To))
+ return assign_float_float_inexact<To_Policy, From_Policy>(to, from, dir);
+ else
+ return assign_float_float_exact<To_Policy, From_Policy>(to, from, dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+floor_float(Type& to, const Type from, Rounding_Dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (fpu_direct_rounding(ROUND_DOWN))
+ to = round_to_integer(from);
+ else if (fpu_inverse_rounding(ROUND_DOWN)) {
+ to = round_to_integer(-from);
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(ROUND_DOWN));
+ limit_precision(from);
+ to = round_to_integer(from);
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+ceil_float(Type& to, const Type from, Rounding_Dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (fpu_direct_rounding(ROUND_UP))
+ to = round_to_integer(from);
+ else if (fpu_inverse_rounding(ROUND_UP)) {
+ to = round_to_integer(-from);
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(ROUND_UP));
+ limit_precision(from);
+ to = round_to_integer(from);
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+trunc_float(Type& to, const Type from, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (from >= 0)
+ return floor<To_Policy, From_Policy>(to, from, dir);
+ else
+ return ceil<To_Policy, From_Policy>(to, from, dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+neg_float(Type& to, const Type from, Rounding_Dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ to = -from;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+add_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_inf_add_inf
+ && is_inf_float<From1_Policy>(x) && x == -y) {
+ return assign_nan<To_Policy>(to, V_INF_ADD_INF);
+ }
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = x + y;
+ else if (fpu_inverse_rounding(dir)) {
+ to = -x - y;
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(x);
+ limit_precision(y);
+ to = x + y;
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+sub_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_inf_sub_inf
+ && is_inf_float<From1_Policy>(x) && x == y) {
+ return assign_nan<To_Policy>(to, V_INF_SUB_INF);
+ }
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = x - y;
+ else if (fpu_inverse_rounding(dir)) {
+ to = y - x;
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(x);
+ limit_precision(y);
+ to = x - y;
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_inf_mul_zero
+ && ((x == 0 && is_inf_float<From2_Policy>(y))
+ ||
+ (y == 0 && is_inf_float<From1_Policy>(x)))) {
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ }
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = x * y;
+ else if (fpu_inverse_rounding(dir)) {
+ to = x * -y;
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(x);
+ limit_precision(y);
+ to = x * y;
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+div_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_inf_div_inf
+ && is_inf_float<From1_Policy>(x) && is_inf_float<From2_Policy>(y)) {
+ return assign_nan<To_Policy>(to, V_INF_DIV_INF);
+ }
+ if (To_Policy::check_div_zero && y == 0) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = x / y;
+ else if (fpu_inverse_rounding(dir)) {
+ to = x / -y;
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(x);
+ limit_precision(y);
+ to = x / y;
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+idiv_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ Type temp;
+ // The inexact check is useless
+ dir = round_dir(dir);
+ Result r = div<To_Policy, From1_Policy, From2_Policy>(temp, x, y, dir);
+ if (result_class(r) != VC_NORMAL) {
+ to = temp;
+ return r;
+ }
+ Result r1 = trunc<To_Policy, To_Policy>(to, temp, ROUND_NOT_NEEDED);
+ PPL_ASSERT(r1 == V_EQ);
+ if (r == V_EQ || to != temp)
+ return r1;
+ // FIXME: Prove that it is impossible to return a strict relation
+ return (dir == ROUND_UP) ? V_LE : V_GE;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+rem_float(Type& to, const Type x, const Type y, Rounding_Dir) {
+ if (To_Policy::check_inf_mod && is_inf_float<From1_Policy>(x)) {
+ return assign_nan<To_Policy>(to, V_INF_MOD);
+ }
+ if (To_Policy::check_div_zero && y == 0) {
+ return assign_nan<To_Policy>(to, V_MOD_ZERO);
+ }
+ to = std::fmod(x, y);
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return V_EQ;
+}
+
+struct Float_2exp {
+ const_bool_nodef(has_nan, false);
+ const_bool_nodef(has_infinity, false);
+};
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+add_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
+ return
+ add<To_Policy, From_Policy, Float_2exp>(to,
+ x,
+ Type(1ULL << exp),
+ dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+sub_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
+ return
+ sub<To_Policy, From_Policy, Float_2exp>(to,
+ x,
+ Type(1ULL << exp),
+ dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+mul_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
+ return
+ mul<To_Policy, From_Policy, Float_2exp>(to,
+ x,
+ Type(1ULL << exp),
+ dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+div_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
+ return
+ div<To_Policy, From_Policy, Float_2exp>(to,
+ x,
+ Type(1ULL << exp),
+ dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+smod_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (To_Policy::check_inf_mod && is_inf_float<From_Policy>(x)) {
+ return assign_nan<To_Policy>(to, V_INF_MOD);
+ }
+ PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
+ Type m = 1ULL << exp;
+ rem_float<To_Policy, From_Policy, Float_2exp>(to, x, m, ROUND_IGNORE);
+ Type m2 = m / 2;
+ if (to < -m2)
+ return add_float<To_Policy, From_Policy, Float_2exp>(to, to, m, dir);
+ else if (to >= m2)
+ return sub_float<To_Policy, From_Policy, Float_2exp>(to, to, m, dir);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+umod_2exp_float(Type& to, const Type x, unsigned int exp, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(x))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (To_Policy::check_inf_mod && is_inf_float<From_Policy>(x)) {
+ return assign_nan<To_Policy>(to, V_INF_MOD);
+ }
+ PPL_ASSERT(exp < sizeof_to_bits(sizeof(unsigned long long)));
+ Type m = 1ULL << exp;
+ rem_float<To_Policy, From_Policy, Float_2exp>(to, x, m, ROUND_IGNORE);
+ if (to < 0)
+ return add_float<To_Policy, From_Policy, Float_2exp>(to, to, m, dir);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+abs_float(Type& to, const Type from, Rounding_Dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ to = std::abs(from);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+sqrt_float(Type& to, const Type from, Rounding_Dir dir) {
+ if (To_Policy::fpu_check_nan_result && is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ if (To_Policy::check_sqrt_neg && from < 0) {
+ return assign_nan<To_Policy>(to, V_SQRT_NEG);
+ }
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = std::sqrt(from);
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(from);
+ to = std::sqrt(from);
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename Policy, typename Type>
+inline Result_Relation
+sgn_float(const Type x) {
+ if (x > 0)
+ return VR_GT;
+ if (x < 0)
+ return VR_LT;
+ if (x == 0)
+ return VR_EQ;
+ return VR_EMPTY;
+}
+
+template <typename Policy1, typename Policy2, typename Type>
+inline Result_Relation
+cmp_float(const Type x, const Type y) {
+ if (x > y)
+ return VR_GT;
+ if (x < y)
+ return VR_LT;
+ if (x == y)
+ return VR_EQ;
+ return VR_EMPTY;
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_float_int_inexact(To& to, const From from, Rounding_Dir dir) {
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = from;
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ to = from;
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_float_int(To& to, const From from, Rounding_Dir dir) {
+ if (sizeof_to_bits(sizeof(From)) > Float<To>::Binary::MANTISSA_BITS)
+ return assign_float_int_inexact<To_Policy, From_Policy>(to, from, dir);
+ else
+ return assign_exact<To_Policy, From_Policy>(to, from, dir);
+}
+
+template <typename Policy, typename T>
+inline Result
+set_neg_overflow_float(T& to, Rounding_Dir dir) {
+ switch (round_dir(dir)) {
+ case ROUND_UP:
+ {
+ Float<T> f;
+ f.u.binary.set_max(true);
+ to = f.value();
+ return V_LT_INF;
+ }
+ case ROUND_DOWN: // Fall through.
+ case ROUND_IGNORE:
+ to = -HUGE_VAL;
+ return V_GT_MINUS_INFINITY;
+ default:
+ PPL_UNREACHABLE;
+ return V_GT_MINUS_INFINITY;
+ }
+}
+
+template <typename Policy, typename T>
+inline Result
+set_pos_overflow_float(T& to, Rounding_Dir dir) {
+ switch (round_dir(dir)) {
+ case ROUND_DOWN:
+ {
+ Float<T> f;
+ f.u.binary.set_max(false);
+ to = f.value();
+ return V_GT_SUP;
+ }
+ case ROUND_UP: // Fall through.
+ case ROUND_IGNORE:
+ to = HUGE_VAL;
+ return V_LT_PLUS_INFINITY;
+ default:
+ PPL_UNREACHABLE;
+ return V_LT_PLUS_INFINITY;
+ }
+}
+
+template <typename To_Policy, typename From_Policy, typename T>
+inline Result
+assign_float_mpz(T& to, const mpz_class& from, Rounding_Dir dir) {
+ int sign = sgn(from);
+ if (sign == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ mpz_srcptr from_z = from.get_mpz_t();
+ size_t exponent = mpz_sizeinbase(from_z, 2) - 1;
+ if (exponent > size_t(Float<T>::Binary::EXPONENT_MAX)) {
+ if (sign < 0)
+ return set_neg_overflow_float<To_Policy>(to, dir);
+ else
+ return set_pos_overflow_float<To_Policy>(to, dir);
+ }
+ unsigned long zeroes = mpn_scan1(from_z->_mp_d, 0);
+ size_t meaningful_bits = exponent - zeroes;
+ mpz_t mantissa;
+ mpz_init(mantissa);
+ if (exponent > Float<T>::Binary::MANTISSA_BITS)
+ mpz_tdiv_q_2exp(mantissa,
+ from_z,
+ exponent - Float<T>::Binary::MANTISSA_BITS);
+ else
+ mpz_mul_2exp(mantissa, from_z, Float<T>::Binary::MANTISSA_BITS - exponent);
+ Float<T> f;
+ f.u.binary.build(sign < 0, mantissa, static_cast<long>(exponent));
+ mpz_clear(mantissa);
+ to = f.value();
+ if (meaningful_bits > Float<T>::Binary::MANTISSA_BITS) {
+ if (sign < 0)
+ return round_lt_float<To_Policy>(to, dir);
+ else
+ return round_gt_float<To_Policy>(to, dir);
+ }
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename T>
+inline Result
+assign_float_mpq(T& to, const mpq_class& from, Rounding_Dir dir) {
+ const mpz_class& numer = from.get_num();
+ const mpz_class& denom = from.get_den();
+ if (denom == 1)
+ return assign_float_mpz<To_Policy, From_Policy>(to, numer, dir);
+ mpz_srcptr numer_z = numer.get_mpz_t();
+ mpz_srcptr denom_z = denom.get_mpz_t();
+ int sign = sgn(numer);
+ long exponent = static_cast<long>(mpz_sizeinbase(numer_z, 2))
+ - static_cast<long>(mpz_sizeinbase(denom_z, 2));
+ if (exponent < Float<T>::Binary::EXPONENT_MIN_DENORM) {
+ to = 0;
+ inexact:
+ if (sign < 0)
+ return round_lt_float<To_Policy>(to, dir);
+ else
+ return round_gt_float<To_Policy>(to, dir);
+ }
+ if (exponent > Float<T>::Binary::EXPONENT_MAX + 1) {
+ overflow:
+ if (sign < 0)
+ return set_neg_overflow_float<To_Policy>(to, dir);
+ else
+ return set_pos_overflow_float<To_Policy>(to, dir);
+ }
+ unsigned int needed_bits = Float<T>::Binary::MANTISSA_BITS + 1;
+ if (exponent < Float<T>::Binary::EXPONENT_MIN) {
+ long diff = Float<T>::Binary::EXPONENT_MIN - exponent;
+ needed_bits -= static_cast<unsigned int>(diff);
+ }
+ mpz_t mantissa;
+ mpz_init(mantissa);
+ {
+ long shift = static_cast<long>(needed_bits) - exponent;
+ if (shift > 0) {
+ mpz_mul_2exp(mantissa, numer_z, static_cast<unsigned long>(shift));
+ numer_z = mantissa;
+ }
+ else if (shift < 0) {
+ shift = -shift;
+ mpz_mul_2exp(mantissa, denom_z, static_cast<unsigned long>(shift));
+ denom_z = mantissa;
+ }
+ }
+ mpz_t r;
+ mpz_init(r);
+ mpz_tdiv_qr(mantissa, r, numer_z, denom_z);
+ size_t bits = mpz_sizeinbase(mantissa, 2);
+ bool inexact = (mpz_sgn(r) != 0);
+ mpz_clear(r);
+ if (bits == needed_bits + 1) {
+ inexact = (inexact || mpz_odd_p(mantissa));
+ mpz_tdiv_q_2exp(mantissa, mantissa, 1);
+ }
+ else
+ --exponent;
+ if (exponent > Float<T>::Binary::EXPONENT_MAX) {
+ mpz_clear(mantissa);
+ goto overflow;
+ }
+ else if (exponent < Float<T>::Binary::EXPONENT_MIN - 1) {
+ // Denormalized.
+ exponent = Float<T>::Binary::EXPONENT_MIN - 1;
+ }
+ Float<T> f;
+ f.u.binary.build(sign < 0, mantissa, exponent);
+ mpz_clear(mantissa);
+ to = f.value();
+ if (inexact)
+ goto inexact;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+add_mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_inf_mul_zero
+ && ((x == 0 && is_inf_float<From2_Policy>(y))
+ ||
+ (y == 0 && is_inf_float<From1_Policy>(x)))) {
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ }
+ // FIXME: missing check_inf_add_inf
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = multiply_add(x, y, to);
+ else if (fpu_inverse_rounding(dir)) {
+ to = multiply_add(-x, y, -to);
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(x);
+ limit_precision(y);
+ limit_precision(to);
+ to = multiply_add(x, y, to);
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy, typename Type>
+inline Result
+sub_mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_inf_mul_zero
+ && ((x == 0 && is_inf_float<From2_Policy>(y))
+ ||
+ (y == 0 && is_inf_float<From1_Policy>(x)))) {
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ }
+ // FIXME: missing check_inf_add_inf
+ prepare_inexact<To_Policy>(dir);
+ if (fpu_direct_rounding(dir))
+ to = multiply_add(x, -y, to);
+ else if (fpu_inverse_rounding(dir)) {
+ to = multiply_add(x, y, -to);
+ limit_precision(to);
+ to = -to;
+ }
+ else {
+ fpu_rounding_control_word_type old
+ = fpu_save_rounding_direction(round_fpu_dir(dir));
+ limit_precision(x);
+ limit_precision(y);
+ limit_precision(to);
+ to = multiply_add(x, -y, to);
+ limit_precision(to);
+ fpu_restore_rounding_direction(old);
+ }
+ if (To_Policy::fpu_check_nan_result && is_nan<To_Policy>(to))
+ return V_NAN;
+ return result_relation<To_Policy>(dir);
+}
+
+template <typename From>
+inline void
+assign_mpq_numeric_float(mpq_class& to, const From from) {
+ to = from;
+}
+
+template <>
+inline void
+assign_mpq_numeric_float(mpq_class& to, const long double from) {
+ to = 0;
+ if (from == 0.0L)
+ return;
+ mpz_class& num = to.get_num();
+ mpz_class& den = to.get_den();
+ int exp;
+ long double n = std::frexp(from, &exp);
+ bool neg = false;
+ if (n < 0.0L) {
+ neg = true;
+ n = -n;
+ }
+ const long double mult = static_cast<long double>(ULONG_MAX) + 1.0L;
+ const unsigned int bits = sizeof(unsigned long) * CHAR_BIT;
+ while (true) {
+ n *= mult;
+ exp -= bits;
+ const long double intpart = std::floor(n);
+ num += static_cast<unsigned long>(intpart);
+ n -= intpart;
+ if (n == 0.0L)
+ break;
+ num <<= bits;
+ }
+ if (exp < 0)
+ den <<= -exp;
+ else
+ num <<= exp;
+ if (neg)
+ to = -to;
+ to.canonicalize();
+}
+
+template <typename Policy, typename Type>
+inline Result
+output_float(std::ostream& os, const Type from, const Numeric_Format&,
+ Rounding_Dir) {
+ if (from == 0)
+ os << "0";
+ else if (is_minf<Policy>(from))
+ os << "-inf";
+ else if (is_pinf<Policy>(from))
+ os << "+inf";
+ else if (is_nan<Policy>(from))
+ os << "nan";
+ else {
+ mpq_class q;
+ assign_mpq_numeric_float(q, from);
+ std::string s = float_mpq_to_string(q);
+ os << s;
+ }
+ return V_EQ;
+}
+
+#if PPL_SUPPORTED_FLOAT
+PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, float, float)
+#if PPL_SUPPORTED_DOUBLE
+PPL_SPECIALIZE_ASSIGN(assign_float_float, float, double)
+PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, double, float)
+#endif
+#if PPL_SUPPORTED_LONG_DOUBLE
+PPL_SPECIALIZE_ASSIGN(assign_float_float, float, long double)
+PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, long double, float)
+#endif
+#endif
+
+#if PPL_SUPPORTED_DOUBLE
+PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, double, double)
+#if PPL_SUPPORTED_LONG_DOUBLE
+PPL_SPECIALIZE_ASSIGN(assign_float_float, double, long double)
+PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, long double, double)
+#endif
+#endif
+
+#if PPL_SUPPORTED_LONG_DOUBLE
+PPL_SPECIALIZE_ASSIGN(assign_float_float_exact, long double, long double)
+#endif
+
+#if PPL_SUPPORTED_FLOAT
+PPL_SPECIALIZE_CLASSIFY(classify_float, float)
+PPL_SPECIALIZE_IS_NAN(is_nan_float, float)
+PPL_SPECIALIZE_IS_MINF(is_minf_float, float)
+PPL_SPECIALIZE_IS_PINF(is_pinf_float, float)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_float, float)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed short)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed int)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, signed long long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned short)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned int)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, float, unsigned long long)
+PPL_SPECIALIZE_ASSIGN(assign_float_mpz, float, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_float_mpq, float, mpq_class)
+PPL_SPECIALIZE_COPY(copy_generic, float)
+PPL_SPECIALIZE_IS_INT(is_int_float, float)
+PPL_SPECIALIZE_FLOOR(floor_float, float, float)
+PPL_SPECIALIZE_CEIL(ceil_float, float, float)
+PPL_SPECIALIZE_TRUNC(trunc_float, float, float)
+PPL_SPECIALIZE_NEG(neg_float, float, float)
+PPL_SPECIALIZE_ABS(abs_float, float, float)
+PPL_SPECIALIZE_ADD(add_float, float, float, float)
+PPL_SPECIALIZE_SUB(sub_float, float, float, float)
+PPL_SPECIALIZE_MUL(mul_float, float, float, float)
+PPL_SPECIALIZE_DIV(div_float, float, float, float)
+PPL_SPECIALIZE_REM(rem_float, float, float, float)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_float, float, float)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_float, float, float)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_float, float, float)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_float, float, float)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_float, float, float)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, float, float)
+PPL_SPECIALIZE_SQRT(sqrt_float, float, float)
+PPL_SPECIALIZE_GCD(gcd_exact, float, float, float)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, float, float, float, float, float)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, float, float, float)
+PPL_SPECIALIZE_SGN(sgn_float, float)
+PPL_SPECIALIZE_CMP(cmp_float, float, float)
+PPL_SPECIALIZE_ADD_MUL(add_mul_float, float, float, float)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_float, float, float, float)
+PPL_SPECIALIZE_INPUT(input_generic, float)
+PPL_SPECIALIZE_OUTPUT(output_float, float)
+#endif
+
+#if PPL_SUPPORTED_DOUBLE
+PPL_SPECIALIZE_CLASSIFY(classify_float, double)
+PPL_SPECIALIZE_IS_NAN(is_nan_float, double)
+PPL_SPECIALIZE_IS_MINF(is_minf_float, double)
+PPL_SPECIALIZE_IS_PINF(is_pinf_float, double)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_float, double)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed short)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed int)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, signed long long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned short)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned int)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, double, unsigned long long)
+PPL_SPECIALIZE_ASSIGN(assign_float_mpz, double, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_float_mpq, double, mpq_class)
+PPL_SPECIALIZE_COPY(copy_generic, double)
+PPL_SPECIALIZE_IS_INT(is_int_float, double)
+PPL_SPECIALIZE_FLOOR(floor_float, double, double)
+PPL_SPECIALIZE_CEIL(ceil_float, double, double)
+PPL_SPECIALIZE_TRUNC(trunc_float, double, double)
+PPL_SPECIALIZE_NEG(neg_float, double, double)
+PPL_SPECIALIZE_ABS(abs_float, double, double)
+PPL_SPECIALIZE_ADD(add_float, double, double, double)
+PPL_SPECIALIZE_SUB(sub_float, double, double, double)
+PPL_SPECIALIZE_MUL(mul_float, double, double, double)
+PPL_SPECIALIZE_DIV(div_float, double, double, double)
+PPL_SPECIALIZE_REM(rem_float, double, double, double)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_float, double, double)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_float, double, double)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_float, double, double)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_float, double, double)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_float, double, double)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, double, double)
+PPL_SPECIALIZE_SQRT(sqrt_float, double, double)
+PPL_SPECIALIZE_GCD(gcd_exact, double, double, double)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, double, double, double, double, double)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, double, double, double)
+PPL_SPECIALIZE_SGN(sgn_float, double)
+PPL_SPECIALIZE_CMP(cmp_float, double, double)
+PPL_SPECIALIZE_ADD_MUL(add_mul_float, double, double, double)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_float, double, double, double)
+PPL_SPECIALIZE_INPUT(input_generic, double)
+PPL_SPECIALIZE_OUTPUT(output_float, double)
+#endif
+
+#if PPL_SUPPORTED_LONG_DOUBLE
+PPL_SPECIALIZE_CLASSIFY(classify_float, long double)
+PPL_SPECIALIZE_IS_NAN(is_nan_float, long double)
+PPL_SPECIALIZE_IS_MINF(is_minf_float, long double)
+PPL_SPECIALIZE_IS_PINF(is_pinf_float, long double)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_float, long double)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed short)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed int)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, signed long long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned char)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned short)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned int)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned long)
+PPL_SPECIALIZE_ASSIGN(assign_float_int, long double, unsigned long long)
+PPL_SPECIALIZE_ASSIGN(assign_float_mpz, long double, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_float_mpq, long double, mpq_class)
+PPL_SPECIALIZE_COPY(copy_generic, long double)
+PPL_SPECIALIZE_IS_INT(is_int_float, long double)
+PPL_SPECIALIZE_FLOOR(floor_float, long double, long double)
+PPL_SPECIALIZE_CEIL(ceil_float, long double, long double)
+PPL_SPECIALIZE_TRUNC(trunc_float, long double, long double)
+PPL_SPECIALIZE_NEG(neg_float, long double, long double)
+PPL_SPECIALIZE_ABS(abs_float, long double, long double)
+PPL_SPECIALIZE_ADD(add_float, long double, long double, long double)
+PPL_SPECIALIZE_SUB(sub_float, long double, long double, long double)
+PPL_SPECIALIZE_MUL(mul_float, long double, long double, long double)
+PPL_SPECIALIZE_DIV(div_float, long double, long double, long double)
+PPL_SPECIALIZE_REM(rem_float, long double, long double, long double)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_float, long double, long double)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_float, long double, long double)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_float, long double, long double)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_float, long double, long double)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_float, long double, long double)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, long double, long double)
+PPL_SPECIALIZE_SQRT(sqrt_float, long double, long double)
+PPL_SPECIALIZE_GCD(gcd_exact, long double, long double, long double)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, long double, long double, long double,
+ long double, long double)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, long double, long double, long double)
+PPL_SPECIALIZE_SGN(sgn_float, long double)
+PPL_SPECIALIZE_CMP(cmp_float, long double, long double)
+PPL_SPECIALIZE_ADD_MUL(add_mul_float, long double, long double, long double)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_float, long double, long double, long double)
+PPL_SPECIALIZE_INPUT(input_generic, long double)
+PPL_SPECIALIZE_OUTPUT(output_float, long double)
+#endif
+
+} // namespace Checked
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_checked_int_inlines_hh)
diff --git a/src/checked_inlines.hh b/src/checked_inlines.hh
new file mode 100644
index 0000000..4537c9b
--- /dev/null
+++ b/src/checked_inlines.hh
@@ -0,0 +1,658 @@
+/* Abstract checked arithmetic functions: fall-backs.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_inlines_hh
+#define PPL_checked_inlines_hh 1
+
+#include "globals_types.hh"
+#include "meta_programming.hh"
+#include "C_Integer.hh"
+#include "assert.hh"
+
+/*! \brief
+ Performs the test <CODE>a < b</CODE> avoiding the warning about the
+ comparison being always false due to limited range of data type.
+ FIXME: we have not found a working solution. The GCC option
+ -Wno-type-limits suppresses the warning
+*/
+#define PPL_LT_SILENT(a, b) ((a) < (b))
+#define PPL_GT_SILENT(a, b) ((a) > (b))
+
+namespace Parma_Polyhedra_Library {
+
+namespace Checked {
+
+template <typename T1, typename T2>
+struct Safe_Conversion : public False {
+};
+template <typename T>
+struct Safe_Conversion<T, T> : public True {
+};
+
+#define PPL_SAFE_CONVERSION(To, From) \
+ template <> struct Safe_Conversion<PPL_U(To), PPL_U(From)> \
+ : public True { }
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed short, char);
+#endif
+PPL_SAFE_CONVERSION(signed short, signed char);
+#if PPL_SIZEOF_CHAR < PPL_SIZEOF_SHORT
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed short, char);
+#endif
+PPL_SAFE_CONVERSION(signed short, unsigned char);
+#endif
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed int, char);
+#endif
+PPL_SAFE_CONVERSION(signed int, signed char);
+PPL_SAFE_CONVERSION(signed int, signed short);
+#if PPL_SIZEOF_CHAR < PPL_SIZEOF_INT
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed int, char);
+#endif
+PPL_SAFE_CONVERSION(signed int, unsigned char);
+#endif
+#if PPL_SIZEOF_SHORT < PPL_SIZEOF_INT
+PPL_SAFE_CONVERSION(signed int, unsigned short);
+#endif
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed long, char);
+#endif
+PPL_SAFE_CONVERSION(signed long, signed char);
+PPL_SAFE_CONVERSION(signed long, signed short);
+PPL_SAFE_CONVERSION(signed long, signed int);
+#if PPL_SIZEOF_CHAR < PPL_SIZEOF_LONG
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed long, char);
+#endif
+PPL_SAFE_CONVERSION(signed long, unsigned char);
+#endif
+#if PPL_SIZEOF_SHORT < PPL_SIZEOF_LONG
+PPL_SAFE_CONVERSION(signed long, unsigned short);
+#endif
+#if PPL_SIZEOF_INT < PPL_SIZEOF_LONG
+PPL_SAFE_CONVERSION(signed long, unsigned int);
+#endif
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed long long, char);
+#endif
+PPL_SAFE_CONVERSION(signed long long, signed char);
+PPL_SAFE_CONVERSION(signed long long, signed short);
+PPL_SAFE_CONVERSION(signed long long, signed int);
+PPL_SAFE_CONVERSION(signed long long, signed long);
+#if PPL_SIZEOF_CHAR < PPL_SIZEOF_LONG_LONG
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(signed long long, char);
+#endif
+PPL_SAFE_CONVERSION(signed long long, unsigned char);
+#endif
+#if PPL_SIZEOF_SHORT < PPL_SIZEOF_LONG_LONG
+PPL_SAFE_CONVERSION(signed long long, unsigned short);
+#endif
+#if PPL_SIZEOF_INT < PPL_SIZEOF_LONG_LONG
+PPL_SAFE_CONVERSION(signed long long, unsigned int);
+#endif
+#if PPL_SIZEOF_LONG < PPL_SIZEOF_LONG_LONG
+PPL_SAFE_CONVERSION(signed long long, unsigned long);
+#endif
+
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(unsigned short, char);
+#endif
+PPL_SAFE_CONVERSION(unsigned short, unsigned char);
+
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(unsigned int, char);
+#endif
+PPL_SAFE_CONVERSION(unsigned int, unsigned char);
+PPL_SAFE_CONVERSION(unsigned int, unsigned short);
+
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(unsigned long, char);
+#endif
+PPL_SAFE_CONVERSION(unsigned long, unsigned char);
+PPL_SAFE_CONVERSION(unsigned long, unsigned short);
+PPL_SAFE_CONVERSION(unsigned long, unsigned int);
+
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SAFE_CONVERSION(unsigned long long, char);
+#endif
+PPL_SAFE_CONVERSION(unsigned long long, unsigned char);
+PPL_SAFE_CONVERSION(unsigned long long, unsigned short);
+PPL_SAFE_CONVERSION(unsigned long long, unsigned int);
+PPL_SAFE_CONVERSION(unsigned long long, unsigned long);
+
+
+#if PPL_SIZEOF_CHAR <= PPL_SIZEOF_FLOAT - 2
+PPL_SAFE_CONVERSION(float, char);
+PPL_SAFE_CONVERSION(float, signed char);
+PPL_SAFE_CONVERSION(float, unsigned char);
+#endif
+#if PPL_SIZEOF_SHORT <= PPL_SIZEOF_FLOAT - 2
+PPL_SAFE_CONVERSION(float, signed short);
+PPL_SAFE_CONVERSION(float, unsigned short);
+#endif
+#if PPL_SIZEOF_INT <= PPL_SIZEOF_FLOAT - 2
+PPL_SAFE_CONVERSION(float, signed int);
+PPL_SAFE_CONVERSION(float, unsigned int);
+#endif
+#if PPL_SIZEOF_LONG <= PPL_SIZEOF_FLOAT - 2
+PPL_SAFE_CONVERSION(float, signed long);
+PPL_SAFE_CONVERSION(float, unsigned long);
+#endif
+#if PPL_SIZEOF_LONG_LONG <= PPL_SIZEOF_FLOAT - 2
+PPL_SAFE_CONVERSION(float, signed long long);
+PPL_SAFE_CONVERSION(float, unsigned long long);
+#endif
+
+#if PPL_SIZEOF_CHAR <= PPL_SIZEOF_DOUBLE - 4
+PPL_SAFE_CONVERSION(double, char);
+PPL_SAFE_CONVERSION(double, signed char);
+PPL_SAFE_CONVERSION(double, unsigned char);
+#endif
+#if PPL_SIZEOF_SHORT <= PPL_SIZEOF_DOUBLE - 4
+PPL_SAFE_CONVERSION(double, signed short);
+PPL_SAFE_CONVERSION(double, unsigned short);
+#endif
+#if PPL_SIZEOF_INT <= PPL_SIZEOF_DOUBLE - 4
+PPL_SAFE_CONVERSION(double, signed int);
+PPL_SAFE_CONVERSION(double, unsigned int);
+#endif
+#if PPL_SIZEOF_LONG <= PPL_SIZEOF_DOUBLE - 4
+PPL_SAFE_CONVERSION(double, signed long);
+PPL_SAFE_CONVERSION(double, unsigned long);
+#endif
+#if PPL_SIZEOF_LONG_LONG <= PPL_SIZEOF_DOUBLE - 4
+PPL_SAFE_CONVERSION(double, signed long long);
+PPL_SAFE_CONVERSION(double, unsigned long long);
+#endif
+PPL_SAFE_CONVERSION(double, float);
+
+#if PPL_SIZEOF_CHAR <= PPL_SIZEOF_LONG_DOUBLE - 4
+PPL_SAFE_CONVERSION(long double, char);
+PPL_SAFE_CONVERSION(long double, signed char);
+PPL_SAFE_CONVERSION(long double, unsigned char);
+#endif
+#if PPL_SIZEOF_SHORT <= PPL_SIZEOF_LONG_DOUBLE - 4
+PPL_SAFE_CONVERSION(long double, signed short);
+PPL_SAFE_CONVERSION(long double, unsigned short);
+#endif
+#if PPL_SIZEOF_INT <= PPL_SIZEOF_LONG_DOUBLE - 4
+PPL_SAFE_CONVERSION(long double, signed int);
+PPL_SAFE_CONVERSION(long double, unsigned int);
+#endif
+#if PPL_SIZEOF_LONG <= PPL_SIZEOF_LONG_DOUBLE - 4
+PPL_SAFE_CONVERSION(long double, signed long);
+PPL_SAFE_CONVERSION(long double, unsigned long);
+#endif
+#if PPL_SIZEOF_LONG_LONG <= PPL_SIZEOF_LONG_DOUBLE - 4
+PPL_SAFE_CONVERSION(long double, signed long long);
+PPL_SAFE_CONVERSION(long double, unsigned long long);
+#endif
+PPL_SAFE_CONVERSION(long double, float);
+PPL_SAFE_CONVERSION(long double, double);
+
+PPL_SAFE_CONVERSION(mpz_class, char);
+PPL_SAFE_CONVERSION(mpz_class, signed char);
+PPL_SAFE_CONVERSION(mpz_class, signed short);
+PPL_SAFE_CONVERSION(mpz_class, signed int);
+PPL_SAFE_CONVERSION(mpz_class, signed long);
+// GMP's API does not support signed long long.
+PPL_SAFE_CONVERSION(mpz_class, unsigned char);
+PPL_SAFE_CONVERSION(mpz_class, unsigned short);
+PPL_SAFE_CONVERSION(mpz_class, unsigned int);
+PPL_SAFE_CONVERSION(mpz_class, unsigned long);
+// GMP's API does not support unsigned long long.
+
+PPL_SAFE_CONVERSION(mpq_class, char);
+PPL_SAFE_CONVERSION(mpq_class, signed char);
+PPL_SAFE_CONVERSION(mpq_class, signed short);
+PPL_SAFE_CONVERSION(mpq_class, signed int);
+PPL_SAFE_CONVERSION(mpq_class, signed long);
+// GMP's API does not support signed long long.
+PPL_SAFE_CONVERSION(mpq_class, unsigned char);
+PPL_SAFE_CONVERSION(mpq_class, unsigned short);
+PPL_SAFE_CONVERSION(mpq_class, unsigned int);
+PPL_SAFE_CONVERSION(mpq_class, unsigned long);
+// GMP's API does not support unsigned long long.
+PPL_SAFE_CONVERSION(mpq_class, float);
+PPL_SAFE_CONVERSION(mpq_class, double);
+// GMP's API does not support long double.
+
+#undef PPL_SAFE_CONVERSION
+
+template <typename Policy, typename Type>
+struct PPL_FUNCTION_CLASS(construct)<Policy, Policy, Type, Type> {
+ static inline Result function(Type& to, const Type& from, Rounding_Dir) {
+ new (&to) Type(from);
+ return V_EQ;
+ }
+};
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+struct PPL_FUNCTION_CLASS(construct) {
+ static inline Result function(To& to, const From& from, Rounding_Dir dir) {
+ new (&to) To();
+ return assign<To_Policy, From_Policy>(to, from, dir);
+ }
+};
+
+template <typename To_Policy, typename To>
+struct PPL_FUNCTION_CLASS(construct_special) {
+ static inline Result function(To& to, Result_Class r, Rounding_Dir dir) {
+ new (&to) To();
+ return assign_special<To_Policy>(to, r, dir);
+ }
+};
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_exact(To& to, const From& from, Rounding_Dir) {
+ to = from;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline typename Enable_If<Is_Same<To_Policy, From_Policy>::value, void>::type
+copy_generic(Type& to, const Type& from) {
+ to = from;
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+abs_generic(To& to, const From& from, Rounding_Dir dir) {
+ if (from < 0)
+ return neg<To_Policy, From_Policy>(to, from, dir);
+ else
+ return assign<To_Policy, From_Policy>(to, from, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From>
+inline void
+gcd_exact_no_abs(To& to, const From& x, const From& y) {
+ To w_x = x;
+ To w_y = y;
+ To remainder;
+ while (w_y != 0) {
+ // The following is derived from the assumption that w_x % w_y
+ // is always representable. This is true for both native integers
+ // and IEC 559 floating point numbers.
+ rem<To_Policy, From1_Policy, From2_Policy>(remainder, w_x, w_y,
+ ROUND_NOT_NEEDED);
+ w_x = w_y;
+ w_y = remainder;
+ }
+ to = w_x;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ gcd_exact_no_abs<To_Policy, From1_Policy, From2_Policy>(to, x, y);
+ return abs<To_Policy, To_Policy>(to, to, dir);
+}
+
+template <typename To1_Policy, typename To2_Policy, typename To3_Policy,
+ typename From1_Policy, typename From2_Policy,
+ typename To1, typename To2, typename To3,
+ typename From1, typename From2>
+inline Result
+gcdext_exact(To1& to, To2& s, To3& t, const From1& x, const From2& y,
+ Rounding_Dir dir) {
+ // In case this becomes a bottleneck, we may consider using the
+ // Stehle'-Zimmermann algorithm (see R. Crandall and C. Pomerance,
+ // Prime Numbers - A Computational Perspective, Second Edition,
+ // Springer, 2005).
+ if (y == 0) {
+ if (x == 0) {
+ s = 0;
+ t = 1;
+ return V_EQ;
+ }
+ else {
+ if (x < 0)
+ s = -1;
+ else
+ s = 1;
+ t = 0;
+ return abs<To1_Policy, From1_Policy>(to, x, dir);
+ }
+ }
+
+ s = 1;
+ t = 0;
+ bool negative_x = x < 0;
+ bool negative_y = y < 0;
+
+ Result r;
+ r = abs<To1_Policy, From1_Policy>(to, x, dir);
+ if (r != V_EQ)
+ return r;
+
+ From2 a_y;
+ r = abs<To1_Policy, From2_Policy>(a_y, y, dir);
+ if (r != V_EQ)
+ return r;
+
+ // If PPL_MATCH_GMP_GCDEXT is defined then s is favored when the absolute
+ // values of the given numbers are equal. For instance if x and y
+ // are both 5 then s will be 1 and t will be 0, instead of the other
+ // way round. This is to match the behavior of GMP.
+#define PPL_MATCH_GMP_GCDEXT 1
+#ifdef PPL_MATCH_GMP_GCDEXT
+ if (to == a_y)
+ goto sign_check;
+#endif
+
+ {
+ To2 v1 = 0;
+ To3 v2 = 1;
+ To1 v3 = static_cast<To1>(a_y);
+ while (true) {
+ To1 q = to / v3;
+ // Remainder, next candidate GCD.
+ To1 t3 = to - q*v3;
+ To2 t1 = s - static_cast<To2>(q)*v1;
+ To3 t2 = t - static_cast<To3>(q)*v2;
+ s = v1;
+ t = v2;
+ to = v3;
+ if (t3 == 0)
+ break;
+ v1 = t1;
+ v2 = t2;
+ v3 = t3;
+ }
+ }
+
+#ifdef PPL_MATCH_GMP_GCDEXT
+ sign_check:
+#endif
+ if (negative_x) {
+ r = neg<To2_Policy, To2_Policy>(s, s, dir);
+ if (r != V_EQ)
+ return r;
+ }
+ if (negative_y)
+ return neg<To3_Policy, To3_Policy>(t, t, dir);
+ return V_EQ;
+#undef PPL_MATCH_GMP_GCDEXT
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename To, typename From1, typename From2>
+inline Result
+lcm_gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
+ if (x == 0 || y == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ To a_x;
+ To a_y;
+ Result r;
+ r = abs<From1_Policy, From1_Policy>(a_x, x, dir);
+ if (r != V_EQ)
+ return r;
+ r = abs<From2_Policy, From2_Policy>(a_y, y, dir);
+ if (r != V_EQ)
+ return r;
+ To gcd;
+ gcd_exact_no_abs<To_Policy, From1_Policy, From2_Policy>(gcd, a_x, a_y);
+ // The following is derived from the assumption that a_x / gcd(a_x, a_y)
+ // is always representable. This is true for both native integers
+ // and IEC 559 floating point numbers.
+ div<To_Policy, From1_Policy, To_Policy>(to, a_x, gcd, ROUND_NOT_NEEDED);
+ return mul<To_Policy, To_Policy, From2_Policy>(to, to, a_y, dir);
+}
+
+template <typename Policy, typename Type>
+inline Result_Relation
+sgn_generic(const Type& x) {
+ if (x > 0)
+ return VR_GT;
+ if (x == 0)
+ return VR_EQ;
+ return VR_LT;
+}
+
+template <typename T1, typename T2, typename Enable = void>
+struct Safe_Int_Comparison : public False {
+};
+
+template <typename T1, typename T2>
+struct Safe_Int_Comparison<T1, T2, typename Enable_If<(C_Integer<T1>::value && C_Integer<T2>::value)>::type>
+ : public Bool<(C_Integer<T1>::is_signed
+ ? (C_Integer<T2>::is_signed
+ || sizeof(T2) < sizeof(T1)
+ || sizeof(T2) < sizeof(int))
+ : (!C_Integer<T2>::is_signed
+ || sizeof(T1) < sizeof(T2)
+ || sizeof(T1) < sizeof(int)))> {
+};
+
+
+template <typename T1, typename T2>
+inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
+ || Safe_Conversion<T1, T2>::value
+ || Safe_Conversion<T2, T1>::value), bool>::type
+lt(const T1& x, const T2& y) {
+ return x < y;
+}
+template <typename T1, typename T2>
+inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
+ || Safe_Conversion<T1, T2>::value
+ || Safe_Conversion<T2, T1>::value), bool>::type
+le(const T1& x, const T2& y) {
+ return x <= y;
+}
+template <typename T1, typename T2>
+inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
+ || Safe_Conversion<T1, T2>::value
+ || Safe_Conversion<T2, T1>::value), bool>::type
+eq(const T1& x, const T2& y) {
+ return x == y;
+}
+
+template <typename S, typename U>
+inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
+lt(const S& x, const U& y) {
+ return x < 0 || static_cast<typename C_Integer<S>::other_type>(x) < y;
+}
+
+template <typename U, typename S>
+inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
+lt(const U& x, const S& y) {
+ return y >= 0 && x < static_cast<typename C_Integer<S>::other_type>(y);
+}
+
+template <typename S, typename U>
+inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
+le(const S& x, const U& y) {
+ return x < 0 || static_cast<typename C_Integer<S>::other_type>(x) <= y;
+}
+
+template <typename U, typename S>
+inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
+le(const U& x, const S& y) {
+ return y >= 0 && x <= static_cast<typename C_Integer<S>::other_type>(y);
+}
+
+template <typename S, typename U>
+inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
+eq(const S& x, const U& y) {
+ return x >= 0 && static_cast<typename C_Integer<S>::other_type>(x) == y;
+}
+
+template <typename U, typename S>
+inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
+eq(const U& x, const S& y) {
+ return y >= 0 && x == static_cast<typename C_Integer<S>::other_type>(y);
+}
+
+template <typename T1, typename T2>
+inline typename Enable_If<(!Safe_Conversion<T1, T2>::value
+ && !Safe_Conversion<T2, T1>::value
+ && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
+eq(const T1& x, const T2& y) {
+ PPL_DIRTY_TEMP(T1, tmp);
+ Result r = assign_r(tmp, y, ROUND_CHECK);
+ // FIXME: We can do this also without fpu inexact check using a
+ // conversion back and forth and then testing equality. We should
+ // code this in checked_float_inlines.hh, probably it's faster also
+ // if fpu supports inexact check.
+ PPL_ASSERT(r != V_LE && r != V_GE && r != V_LGE);
+ return r == V_EQ && x == tmp;
+}
+
+template <typename T1, typename T2>
+inline typename Enable_If<(!Safe_Conversion<T1, T2>::value
+ && !Safe_Conversion<T2, T1>::value
+ && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
+lt(const T1& x, const T2& y) {
+ PPL_DIRTY_TEMP(T1, tmp);
+ Result r = assign_r(tmp, y, ROUND_UP);
+ if (!result_representable(r))
+ return true;
+ switch (result_relation(r)) {
+ case VR_EQ:
+ case VR_LT:
+ case VR_LE:
+ return x < tmp;
+ default:
+ return false;
+ }
+}
+
+template <typename T1, typename T2>
+inline typename
+Enable_If<(!Safe_Conversion<T1, T2>::value
+ && !Safe_Conversion<T2, T1>::value
+ && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
+le(const T1& x, const T2& y) {
+ PPL_DIRTY_TEMP(T1, tmp);
+ Result r = assign_r(tmp, y, (ROUND_UP | ROUND_STRICT_RELATION));
+ // FIXME: We can do this also without fpu inexact check using a
+ // conversion back and forth and then testing equality. We should
+ // code this in checked_float_inlines.hh, probably it's faster also
+ // if fpu supports inexact check.
+ PPL_ASSERT(r != V_LE && r != V_GE && r != V_LGE);
+ if (!result_representable(r))
+ return true;
+ switch (result_relation(r)) {
+ case VR_EQ:
+ return x <= tmp;
+ case VR_LT:
+ return x < tmp;
+ case VR_LE:
+ case VR_GE:
+ case VR_LGE:
+ // See comment above.
+ PPL_UNREACHABLE;
+ return false;
+ default:
+ return false;
+ }
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+lt_p(const Type1& x, const Type2& y) {
+ return lt(x, y);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+le_p(const Type1& x, const Type2& y) {
+ return le(x, y);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline bool
+eq_p(const Type1& x, const Type2& y) {
+ return eq(x, y);
+}
+
+template <typename Policy1, typename Policy2,
+ typename Type1, typename Type2>
+inline Result_Relation
+cmp_generic(const Type1& x, const Type2& y) {
+ if (lt(y, x))
+ return VR_GT;
+ if (lt(x, y))
+ return VR_LT;
+ return VR_EQ;
+}
+
+template <typename Policy, typename Type>
+inline Result
+assign_nan(Type& to, Result r) {
+ assign_special<Policy>(to, VC_NAN, ROUND_IGNORE);
+ return r;
+}
+
+template <typename Policy, typename Type>
+inline Result
+input_generic(Type& to, std::istream& is, Rounding_Dir dir) {
+ PPL_DIRTY_TEMP(mpq_class, q);
+ Result r = input_mpq(q, is);
+ Result_Class c = result_class(r);
+ switch (c) {
+ case VC_MINUS_INFINITY:
+ case VC_PLUS_INFINITY:
+ return assign_special<Policy>(to, c, dir);
+ case VC_NAN:
+ return assign_nan<Policy>(to, r);
+ default:
+ break;
+ }
+ PPL_ASSERT(r == V_EQ);
+ return assign<Policy, void>(to, q, dir);
+}
+
+} // namespace Checked
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_checked_inlines_hh)
diff --git a/src/checked_int.inlines.hh b/src/checked_int.inlines.hh
deleted file mode 100644
index 5fd4e0c..0000000
--- a/src/checked_int.inlines.hh
+++ /dev/null
@@ -1,1957 +0,0 @@
-/* Specialized "checked" functions for native integer numbers.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_int_inlines_hh
-#define PPL_checked_int_inlines_hh 1
-
-#include "C_Integer.hh"
-#include <cerrno>
-#include <cstdlib>
-#include <climits>
-#include <string>
-
-#if !PPL_HAVE_DECL_STRTOLL
-signed long long
-strtoll(const char* nptr, char** endptr, int base);
-#endif
-
-#if !PPL_HAVE_DECL_STRTOULL
-unsigned long long
-strtoull(const char* nptr, char** endptr, int base);
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-namespace Checked {
-
-#ifndef PPL_HAVE_INT_FAST16_T
-typedef int16_t int_fast16_t;
-#endif
-
-#ifndef PPL_HAVE_INT_FAST32_T
-typedef int32_t int_fast32_t;
-#endif
-
-#ifndef PPL_HAVE_INT_FAST64_T
-typedef int64_t int_fast64_t;
-#endif
-
-#ifndef PPL_HAVE_UINT_FAST16_T
-typedef uint16_t uint_fast16_t;
-#endif
-
-#ifndef PPL_HAVE_UINT_FAST32_T
-typedef uint32_t uint_fast32_t;
-#endif
-
-#ifndef PPL_HAVE_UINT_FAST64_T
-typedef uint64_t uint_fast64_t;
-#endif
-
-template <typename Policy, typename Type>
-struct Extended_Int {
- static const Type plus_infinity = C_Integer<Type>::max;
- static const Type minus_infinity = ((C_Integer<Type>::min >= 0)
- ? (C_Integer<Type>::max - 1)
- : C_Integer<Type>::min);
- static const Type not_a_number
- = ((C_Integer<Type>::min >= 0)
- ? (C_Integer<Type>::max - 2 * (Policy::has_infinity ? 1 : 0))
- : (C_Integer<Type>::min + (Policy::has_infinity ? 1 : 0)));
- static const Type min
- = (C_Integer<Type>::min
- + ((C_Integer<Type>::min >= 0)
- ? 0
- : ((Policy::has_infinity ? 1 : 0) + (Policy::has_nan ? 1 : 0))));
- static const Type max
- = (C_Integer<Type>::max
- - ((C_Integer<Type>::min >= 0)
- ? (2 * (Policy::has_infinity ? 1 : 0) + (Policy::has_nan ? 1 : 0))
- : (Policy::has_infinity ? 1 : 0)));
-};
-
-template <typename Policy, typename To>
-inline Result
-set_neg_overflow_int(To& to, Rounding_Dir dir) {
- if (round_up(dir)) {
- to = Extended_Int<Policy, To>::min;
- return V_LT_INF;
- }
- else {
- if (Policy::has_infinity) {
- to = Extended_Int<Policy, To>::minus_infinity;
- return V_GT_MINUS_INFINITY;
- }
- return V_GT_MINUS_INFINITY | V_UNREPRESENTABLE;
- }
-}
-
-template <typename Policy, typename To>
-inline Result
-set_pos_overflow_int(To& to, Rounding_Dir dir) {
- if (round_down(dir)) {
- to = Extended_Int<Policy, To>::max;
- return V_GT_SUP;
- }
- else {
- if (Policy::has_infinity) {
- to = Extended_Int<Policy, To>::plus_infinity;
- return V_LT_PLUS_INFINITY;
- }
- return V_LT_PLUS_INFINITY | V_UNREPRESENTABLE;
- }
-}
-
-template <typename Policy, typename To>
-inline Result
-round_lt_int_no_overflow(To& to, Rounding_Dir dir) {
- if (round_down(dir)) {
- --to;
- return V_GT;
- }
- return V_LT;
-}
-
-template <typename Policy, typename To>
-inline Result
-round_gt_int_no_overflow(To& to, Rounding_Dir dir) {
- if (round_up(dir)) {
- ++to;
- return V_LT;
- }
- return V_GT;
-}
-
-template <typename Policy, typename To>
-inline Result
-round_lt_int(To& to, Rounding_Dir dir) {
- if (round_down(dir)) {
- if (to == Extended_Int<Policy, To>::min) {
- if (Policy::has_infinity) {
- to = Extended_Int<Policy, To>::minus_infinity;
- return V_GT_MINUS_INFINITY;
- }
- return V_GT_MINUS_INFINITY | V_UNREPRESENTABLE;
- }
- else {
- --to;
- return V_GT;
- }
- }
- return V_LT;
-}
-
-template <typename Policy, typename To>
-inline Result
-round_gt_int(To& to, Rounding_Dir dir) {
- if (round_up(dir)) {
- if (to == Extended_Int<Policy, To>::max) {
- if (Policy::has_infinity) {
- to = Extended_Int<Policy, To>::plus_infinity;
- return V_LT_PLUS_INFINITY;
- }
- return V_LT_PLUS_INFINITY | V_UNREPRESENTABLE;
- }
- else {
- ++to;
- return V_LT;
- }
- }
- return V_GT;
-}
-
-PPL_SPECIALIZE_COPY(copy_generic, char)
-PPL_SPECIALIZE_COPY(copy_generic, signed char)
-PPL_SPECIALIZE_COPY(copy_generic, signed short)
-PPL_SPECIALIZE_COPY(copy_generic, signed int)
-PPL_SPECIALIZE_COPY(copy_generic, signed long)
-PPL_SPECIALIZE_COPY(copy_generic, signed long long)
-PPL_SPECIALIZE_COPY(copy_generic, unsigned char)
-PPL_SPECIALIZE_COPY(copy_generic, unsigned short)
-PPL_SPECIALIZE_COPY(copy_generic, unsigned int)
-PPL_SPECIALIZE_COPY(copy_generic, unsigned long)
-PPL_SPECIALIZE_COPY(copy_generic, unsigned long long)
-
-template <typename Policy, typename Type>
-inline Result
-classify_int(const Type v, bool nan, bool inf, bool sign) {
- if (Policy::has_nan
- && (nan || sign)
- && v == Extended_Int<Policy, Type>::not_a_number)
- return V_NAN;
- if (!inf && !sign)
- return V_LGE;
- if (Policy::has_infinity) {
- if (v == Extended_Int<Policy, Type>::minus_infinity)
- return inf ? V_EQ_MINUS_INFINITY : V_LT;
- if (v == Extended_Int<Policy, Type>::plus_infinity)
- return inf ? V_EQ_PLUS_INFINITY : V_GT;
- }
- if (sign) {
- if (v < 0)
- return V_LT;
- if (v > 0)
- return V_GT;
- return V_EQ;
- }
- return V_LGE;
-}
-
-PPL_SPECIALIZE_CLASSIFY(classify_int, char)
-PPL_SPECIALIZE_CLASSIFY(classify_int, signed char)
-PPL_SPECIALIZE_CLASSIFY(classify_int, signed short)
-PPL_SPECIALIZE_CLASSIFY(classify_int, signed int)
-PPL_SPECIALIZE_CLASSIFY(classify_int, signed long)
-PPL_SPECIALIZE_CLASSIFY(classify_int, signed long long)
-PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned char)
-PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned short)
-PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned int)
-PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned long)
-PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned long long)
-
-template <typename Policy, typename Type>
-inline bool
-is_nan_int(const Type v) {
- return Policy::has_nan && v == Extended_Int<Policy, Type>::not_a_number;
-}
-
-PPL_SPECIALIZE_IS_NAN(is_nan_int, char)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, signed char)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, signed short)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, signed int)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, signed long)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, signed long long)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned char)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned short)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned int)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned long)
-PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned long long)
-
-template <typename Policy, typename Type>
-inline bool
-is_minf_int(const Type v) {
- return Policy::has_infinity
- && v == Extended_Int<Policy, Type>::minus_infinity;
-}
-
-PPL_SPECIALIZE_IS_MINF(is_minf_int, char)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, signed char)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, signed short)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, signed int)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, signed long)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, signed long long)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned char)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned short)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned int)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned long)
-PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned long long)
-
-template <typename Policy, typename Type>
-inline bool
-is_pinf_int(const Type v) {
- return Policy::has_infinity
- && v == Extended_Int<Policy, Type>::plus_infinity;
-}
-
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, char)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed char)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed short)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed int)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed long)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed long long)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned char)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned short)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned int)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned long)
-PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned long long)
-
-template <typename Policy, typename Type>
-inline bool
-is_int_int(const Type v) {
- return !is_nan<Policy>(v);
-}
-
-PPL_SPECIALIZE_IS_INT(is_int_int, char)
-PPL_SPECIALIZE_IS_INT(is_int_int, signed char)
-PPL_SPECIALIZE_IS_INT(is_int_int, signed short)
-PPL_SPECIALIZE_IS_INT(is_int_int, signed int)
-PPL_SPECIALIZE_IS_INT(is_int_int, signed long)
-PPL_SPECIALIZE_IS_INT(is_int_int, signed long long)
-PPL_SPECIALIZE_IS_INT(is_int_int, unsigned char)
-PPL_SPECIALIZE_IS_INT(is_int_int, unsigned short)
-PPL_SPECIALIZE_IS_INT(is_int_int, unsigned int)
-PPL_SPECIALIZE_IS_INT(is_int_int, unsigned long)
-PPL_SPECIALIZE_IS_INT(is_int_int, unsigned long long)
-
-template <typename Policy, typename Type>
-inline Result
-assign_special_int(Type& v, Result_Class c, Rounding_Dir dir) {
- PPL_ASSERT(c == VC_MINUS_INFINITY || c == VC_PLUS_INFINITY || c == VC_NAN);
- switch (c) {
- case VC_NAN:
- if (Policy::has_nan) {
- v = Extended_Int<Policy, Type>::not_a_number;
- return V_NAN;
- }
- return V_NAN | V_UNREPRESENTABLE;
- case VC_MINUS_INFINITY:
- if (Policy::has_infinity) {
- v = Extended_Int<Policy, Type>::minus_infinity;
- return V_EQ_MINUS_INFINITY;
- }
- if (round_up(dir)) {
- v = Extended_Int<Policy, Type>::min;
- return V_LT_INF;
- }
- return V_EQ_MINUS_INFINITY | V_UNREPRESENTABLE;
- case VC_PLUS_INFINITY:
- if (Policy::has_infinity) {
- v = Extended_Int<Policy, Type>::plus_infinity;
- return V_EQ_PLUS_INFINITY;
- }
- if (round_down(dir)) {
- v = Extended_Int<Policy, Type>::max;
- return V_GT_SUP;
- }
- return V_EQ_PLUS_INFINITY | V_UNREPRESENTABLE;
- default:
- PPL_UNREACHABLE;
- return V_NAN | V_UNREPRESENTABLE;
- }
-}
-
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, char)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed char)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed short)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed int)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed long)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed long long)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned char)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned short)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned int)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned long)
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned long long)
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_signed_int_signed_int(To& to, const From from, Rounding_Dir dir) {
- if (sizeof(To) < sizeof(From)
- || (sizeof(To) == sizeof(From)
- && (Extended_Int<To_Policy, To>::min > Extended_Int<From_Policy, From>::min
- || Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max))) {
- if (CHECK_P(To_Policy::check_overflow,
- PPL_LT_SILENT(from,
- static_cast<From>(Extended_Int<To_Policy, To>::min))))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (CHECK_P(To_Policy::check_overflow,
- PPL_GT_SILENT(from,
- static_cast<From>(Extended_Int<To_Policy, To>::max))))
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- to = static_cast<To>(from);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_signed_int_unsigned_int(To& to, const From from, Rounding_Dir dir) {
- if (sizeof(To) <= sizeof(From)) {
- if (CHECK_P(To_Policy::check_overflow,
- from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- to = static_cast<To>(from);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_unsigned_int_signed_int(To& to, const From from, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_overflow, from < 0))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (sizeof(To) < sizeof(From)) {
- if (CHECK_P(To_Policy::check_overflow,
- from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- to = static_cast<To>(from);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_unsigned_int_unsigned_int(To& to, const From from, Rounding_Dir dir) {
- if (sizeof(To) < sizeof(From)
- || (sizeof(To) == sizeof(From)
- && Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max)) {
- if (CHECK_P(To_Policy::check_overflow,
- PPL_GT_SILENT(from,
- static_cast<From>(Extended_Int<To_Policy, To>::max))))
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- to = static_cast<To>(from);
- return V_EQ;
-}
-
-
-#define PPL_ASSIGN2_SIGNED_SIGNED(Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_signed_int, Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_signed_int, Larger, Smaller)
-
-#define PPL_ASSIGN2_UNSIGNED_UNSIGNED(Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_unsigned_int, Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_unsigned_int, Larger, Smaller)
-
-#define PPL_ASSIGN2_UNSIGNED_SIGNED(Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_signed_int, Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_unsigned_int, Larger, Smaller)
-
-#define PPL_ASSIGN2_SIGNED_UNSIGNED(Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_unsigned_int, Smaller, Larger) \
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_signed_int, Larger, Smaller)
-
-#define PPL_ASSIGN_SIGNED(Type) \
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_signed_int, Type, Type)
-#define PPL_ASSIGN_UNSIGNED(Type) \
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_unsigned_int, Type, Type)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_ASSIGN_SIGNED(char)
-#endif
-PPL_ASSIGN_SIGNED(signed char)
-PPL_ASSIGN_SIGNED(signed short)
-PPL_ASSIGN_SIGNED(signed int)
-PPL_ASSIGN_SIGNED(signed long)
-PPL_ASSIGN_SIGNED(signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_ASSIGN_UNSIGNED(char)
-#endif
-PPL_ASSIGN_UNSIGNED(unsigned char)
-PPL_ASSIGN_UNSIGNED(unsigned short)
-PPL_ASSIGN_UNSIGNED(unsigned int)
-PPL_ASSIGN_UNSIGNED(unsigned long)
-PPL_ASSIGN_UNSIGNED(unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_ASSIGN2_SIGNED_SIGNED(char, signed short)
-PPL_ASSIGN2_SIGNED_SIGNED(char, signed int)
-PPL_ASSIGN2_SIGNED_SIGNED(char, signed long)
-PPL_ASSIGN2_SIGNED_SIGNED(char, signed long long)
-#endif
-PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed short)
-PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed int)
-PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed long)
-PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed long long)
-PPL_ASSIGN2_SIGNED_SIGNED(signed short, signed int)
-PPL_ASSIGN2_SIGNED_SIGNED(signed short, signed long)
-PPL_ASSIGN2_SIGNED_SIGNED(signed short, signed long long)
-PPL_ASSIGN2_SIGNED_SIGNED(signed int, signed long)
-PPL_ASSIGN2_SIGNED_SIGNED(signed int, signed long long)
-PPL_ASSIGN2_SIGNED_SIGNED(signed long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned short)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned int)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned long long)
-#endif
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned short)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned int)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned long long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned short, unsigned int)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned short, unsigned long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned short, unsigned long long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned int, unsigned long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned int, unsigned long long)
-PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned long, unsigned long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed short)
-PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed int)
-PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed long long)
-#endif
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed short)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed int)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed long long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned short, signed int)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned short, signed long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned short, signed long long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned int, signed long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned int, signed long long)
-PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned long, signed long long)
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned char)
-PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned short)
-PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned int)
-PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned long long)
-#else
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, char)
-#endif
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned char)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned short)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned int)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned long long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned short)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned int)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned long long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed int, unsigned int)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed int, unsigned long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed int, unsigned long long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed long, unsigned long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed long, unsigned long long)
-PPL_ASSIGN2_SIGNED_UNSIGNED(signed long long, unsigned long long)
-
-template <typename To_Policy, typename From_Policy, typename To, typename From>
-inline Result
-assign_int_float(To& to, const From from, Rounding_Dir dir) {
- if (is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
-#if 0
- // FIXME: this is correct but it is inefficient and breaks the build
- // for the missing definition of static const members (a problem present
- // also in other areas of the PPL).
- if (CHECK_P(To_Policy::check_overflow, lt(from, Extended_Int<To_Policy, To>::min)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (CHECK_P(To_Policy::check_overflow, !le(from, Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
-#else
- if (CHECK_P(To_Policy::check_overflow, (from < Extended_Int<To_Policy, To>::min)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (CHECK_P(To_Policy::check_overflow, (from > Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
-#endif
- if (round_not_requested(dir)) {
- to = from;
- return V_LGE;
- }
- From i_from = rint(from);
- to = i_from;
- if (from == i_from)
- return V_EQ;
- if (round_direct(ROUND_UP))
- return round_lt_int<To_Policy>(to, dir);
- if (round_direct(ROUND_DOWN))
- return round_gt_int<To_Policy>(to, dir);
- if (from < i_from)
- return round_lt_int<To_Policy>(to, dir);
- PPL_ASSERT(from > i_from);
- return round_gt_int<To_Policy>(to, dir);
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_int_float, char, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed char, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed short, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed int, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long long, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned char, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned short, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned int, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long, float)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long long, float)
-
-PPL_SPECIALIZE_ASSIGN(assign_int_float, char, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed char, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed short, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed int, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long long, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned char, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned short, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned int, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long, double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long long, double)
-
-PPL_SPECIALIZE_ASSIGN(assign_int_float, char, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed char, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed short, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed int, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long long, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned char, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned short, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned int, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long, long double)
-PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long long, long double)
-
-#undef PPL_ASSIGN_SIGNED
-#undef PPL_ASSIGN_UNSIGNED
-#undef PPL_ASSIGN2_SIGNED_SIGNED
-#undef PPL_ASSIGN2_UNSIGNED_UNSIGNED
-#undef PPL_ASSIGN2_UNSIGNED_SIGNED
-#undef PPL_ASSIGN2_SIGNED_UNSIGNED
-
-template <typename To_Policy, typename From_Policy, typename To>
-inline Result
-assign_signed_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
- if (sizeof(To) <= sizeof(signed long)) {
- if (!To_Policy::check_overflow) {
- to = from.get_si();
- return V_EQ;
- }
- if (from.fits_slong_p()) {
- signed long v = from.get_si();
- if (PPL_LT_SILENT(v, (Extended_Int<To_Policy, To>::min)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (PPL_GT_SILENT(v, (Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = v;
- return V_EQ;
- }
- }
- else {
- mpz_srcptr m = from.get_mpz_t();
- size_t sz = mpz_size(m);
- if (sz <= sizeof(To) / sizeof(mp_limb_t)) {
- if (sz == 0) {
- to = 0;
- return V_EQ;
- }
- To v;
- mpz_export(&v, 0, -1, sizeof(To), 0, 0, m);
- if (v >= 0) {
- if (::sgn(from) < 0)
- return neg<To_Policy, To_Policy>(to, v, dir);
- to = v;
- return V_EQ;
- }
- }
- }
- return (::sgn(from) < 0)
- ? set_neg_overflow_int<To_Policy>(to, dir)
- : set_pos_overflow_int<To_Policy>(to, dir);
-}
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, char, mpz_class)
-#endif
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed char, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed short, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed int, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed long, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed long long, mpz_class)
-
-template <typename To_Policy, typename From_Policy, typename To>
-inline Result
-assign_unsigned_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_overflow, ::sgn(from) < 0))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (sizeof(To) <= sizeof(unsigned long)) {
- if (!To_Policy::check_overflow) {
- to = static_cast<To>(from.get_ui());
- return V_EQ;
- }
- if (from.fits_ulong_p()) {
- unsigned long v = from.get_ui();
- if (PPL_GT_SILENT(v, (Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = static_cast<To>(v);
- return V_EQ;
- }
- }
- else {
- mpz_srcptr m = from.get_mpz_t();
- size_t sz = mpz_size(m);
- if (sz <= sizeof(To) / sizeof(mp_limb_t)) {
- if (sz == 0)
- to = 0;
- else
- mpz_export(&to, 0, -1, sizeof(To), 0, 0, m);
- return V_EQ;
- }
- }
- return set_pos_overflow_int<To_Policy>(to, dir);
-}
-
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, char, mpz_class)
-#endif
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned char, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned short, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned int, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned long, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned long long, mpz_class)
-
-template <typename To_Policy, typename From_Policy, typename To>
-inline Result
-assign_int_mpq(To& to, const mpq_class& from, Rounding_Dir dir) {
- mpz_srcptr n = from.get_num().get_mpz_t();
- mpz_srcptr d = from.get_den().get_mpz_t();
- PPL_DIRTY_TEMP(mpz_class, q);
- mpz_ptr q_z = q.get_mpz_t();
- if (round_not_requested(dir)) {
- mpz_tdiv_q(q_z, n, d);
- Result r = assign<To_Policy, void>(to, q, dir);
- if (r != V_EQ)
- return r;
- return V_LGE;
- }
- mpz_t rem;
- int sign;
- mpz_init(rem);
- mpz_tdiv_qr(q_z, rem, n, d);
- sign = mpz_sgn(rem);
- mpz_clear(rem);
- Result r = assign<To_Policy, void>(to, q, dir);
- if (r != V_EQ)
- return r;
- switch (sign) {
- case -1:
- return round_lt_int<To_Policy>(to, dir);
- case 1:
- return round_gt_int<To_Policy>(to, dir);
- default:
- return V_EQ;
- }
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, char, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed char, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed short, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed int, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed long, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed long long, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned char, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned short, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned int, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned long, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned long long, mpq_class)
-
-#if ~0 != -1
-#error "Only two's complement is supported"
-#endif
-
-#if UCHAR_MAX == 0xff
-#define CHAR_BITS 8
-#else
-#error "Unexpected max for unsigned char"
-#endif
-
-#if USHRT_MAX == 0xffff
-#define SHRT_BITS 16
-#else
-#error "Unexpected max for unsigned short"
-#endif
-
-#if UINT_MAX == 0xffffffff
-#define INT_BITS 32
-#else
-#error "Unexpected max for unsigned int"
-#endif
-
-#if ULONG_MAX == 0xffffffffUL
-#define LONG_BITS 32
-#elif ULONG_MAX == 0xffffffffffffffffULL
-#define LONG_BITS 64
-#else
-#error "Unexpected max for unsigned long"
-#endif
-
-#if ULLONG_MAX == 0xffffffffffffffffULL
-#define LONG_LONG_BITS 64
-#else
-#error "Unexpected max for unsigned long long"
-#endif
-
-
-template <typename T>
-struct Larger;
-
-// The following may be tuned for performance on specific architectures.
-//
-// Current guidelines:
-// - avoid division where possible (larger type variant for mul)
-// - use larger type variant for types smaller than architecture bit size
-
-template <>
-struct Larger<char> {
- const_bool_nodef(use_for_neg, true);
- const_bool_nodef(use_for_add, true);
- const_bool_nodef(use_for_sub, true);
- const_bool_nodef(use_for_mul, true);
- typedef int_fast16_t type_for_neg;
- typedef int_fast16_t type_for_add;
- typedef int_fast16_t type_for_sub;
- typedef int_fast16_t type_for_mul;
-};
-
-template <>
-struct Larger<signed char> {
- const_bool_nodef(use_for_neg, true);
- const_bool_nodef(use_for_add, true);
- const_bool_nodef(use_for_sub, true);
- const_bool_nodef(use_for_mul, true);
- typedef int_fast16_t type_for_neg;
- typedef int_fast16_t type_for_add;
- typedef int_fast16_t type_for_sub;
- typedef int_fast16_t type_for_mul;
-};
-
-template <>
-struct Larger<unsigned char> {
- const_bool_nodef(use_for_neg, true);
- const_bool_nodef(use_for_add, true);
- const_bool_nodef(use_for_sub, true);
- const_bool_nodef(use_for_mul, true);
- typedef int_fast16_t type_for_neg;
- typedef uint_fast16_t type_for_add;
- typedef int_fast16_t type_for_sub;
- typedef uint_fast16_t type_for_mul;
-};
-
-template <>
-struct Larger<signed short> {
- const_bool_nodef(use_for_neg, true);
- const_bool_nodef(use_for_add, true);
- const_bool_nodef(use_for_sub, true);
- const_bool_nodef(use_for_mul, true);
- typedef int_fast32_t type_for_neg;
- typedef int_fast32_t type_for_add;
- typedef int_fast32_t type_for_sub;
- typedef int_fast32_t type_for_mul;
-};
-
-template <>
-struct Larger<unsigned short> {
- const_bool_nodef(use_for_neg, true);
- const_bool_nodef(use_for_add, true);
- const_bool_nodef(use_for_sub, true);
- const_bool_nodef(use_for_mul, true);
- typedef int_fast32_t type_for_neg;
- typedef uint_fast32_t type_for_add;
- typedef int_fast32_t type_for_sub;
- typedef uint_fast32_t type_for_mul;
-};
-
-template <>
-struct Larger<signed int> {
- const_bool_nodef(use_for_neg, (LONG_BITS == 64));
- const_bool_nodef(use_for_add, (LONG_BITS == 64));
- const_bool_nodef(use_for_sub, (LONG_BITS == 64));
- const_bool_nodef(use_for_mul, true);
- typedef int_fast64_t type_for_neg;
- typedef int_fast64_t type_for_add;
- typedef int_fast64_t type_for_sub;
- typedef int_fast64_t type_for_mul;
-};
-
-template <>
-struct Larger<unsigned int> {
- const_bool_nodef(use_for_neg, (LONG_BITS == 64));
- const_bool_nodef(use_for_add, (LONG_BITS == 64));
- const_bool_nodef(use_for_sub, (LONG_BITS == 64));
- const_bool_nodef(use_for_mul, true);
- typedef int_fast64_t type_for_neg;
- typedef uint_fast64_t type_for_add;
- typedef int_fast64_t type_for_sub;
- typedef uint_fast64_t type_for_mul;
-};
-
-template <>
-struct Larger<signed long> {
- const_bool_nodef(use_for_neg, false);
- const_bool_nodef(use_for_add, false);
- const_bool_nodef(use_for_sub, false);
- const_bool_nodef(use_for_mul, (LONG_BITS == 32));
- typedef int_fast64_t type_for_neg;
- typedef int_fast64_t type_for_add;
- typedef int_fast64_t type_for_sub;
- typedef int_fast64_t type_for_mul;
-};
-
-template <>
-struct Larger<unsigned long> {
- const_bool_nodef(use_for_neg, false);
- const_bool_nodef(use_for_add, false);
- const_bool_nodef(use_for_sub, false);
- const_bool_nodef(use_for_mul, (LONG_BITS == 32));
- typedef int_fast64_t type_for_neg;
- typedef uint_fast64_t type_for_add;
- typedef int_fast64_t type_for_sub;
- typedef uint_fast64_t type_for_mul;
-};
-
-template <>
-struct Larger<signed long long> {
- const_bool_nodef(use_for_neg, false);
- const_bool_nodef(use_for_add, false);
- const_bool_nodef(use_for_sub, false);
- const_bool_nodef(use_for_mul, false);
- typedef int_fast64_t type_for_neg;
- typedef int_fast64_t type_for_add;
- typedef int_fast64_t type_for_sub;
- typedef int_fast64_t type_for_mul;
-};
-
-template <>
-struct Larger<unsigned long long> {
- const_bool_nodef(use_for_neg, false);
- const_bool_nodef(use_for_add, false);
- const_bool_nodef(use_for_sub, false);
- const_bool_nodef(use_for_mul, false);
- typedef int_fast64_t type_for_neg;
- typedef uint_fast64_t type_for_add;
- typedef int_fast64_t type_for_sub;
- typedef uint_fast64_t type_for_mul;
-};
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-neg_int_larger(Type& to, const Type x, Rounding_Dir dir) {
- typename Larger<Type>::type_for_neg l = x;
- l = -l;
- return assign<To_Policy, To_Policy>(to, l, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-add_int_larger(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- typename Larger<Type>::type_for_add l = x;
- l += y;
- return assign<To_Policy, To_Policy>(to, l, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-sub_int_larger(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- typename Larger<Type>::type_for_sub l = x;
- l -= y;
- return assign<To_Policy, To_Policy>(to, l, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-mul_int_larger(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- typename Larger<Type>::type_for_mul l = x;
- l *= y;
- return assign<To_Policy, To_Policy>(to, l, dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-neg_signed_int(Type& to, const Type from, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_neg)
- return neg_int_larger<To_Policy, From_Policy>(to, from, dir);
- if (CHECK_P(To_Policy::check_overflow,
- (from < -Extended_Int<To_Policy, Type>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = -from;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-neg_unsigned_int(Type& to, const Type from, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_neg)
- return neg_int_larger<To_Policy, From_Policy>(to, from, dir);
- if (CHECK_P(To_Policy::check_overflow, from != 0))
- return set_neg_overflow_int<To_Policy>(to, dir);
- to = from;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-add_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_add)
- return add_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- if (To_Policy::check_overflow) {
- if (y >= 0) {
- if (x > Extended_Int<To_Policy, Type>::max - y)
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- else if (x < Extended_Int<To_Policy, Type>::min - y)
- return set_neg_overflow_int<To_Policy>(to, dir);
- }
- to = x + y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-add_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_add)
- return add_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- if (CHECK_P(To_Policy::check_overflow,
- (x > Extended_Int<To_Policy, Type>::max - y)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = x + y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-sub_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_sub)
- return sub_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- if (To_Policy::check_overflow) {
- if (y >= 0) {
- if (x < Extended_Int<To_Policy, Type>::min + y)
- return set_neg_overflow_int<To_Policy>(to, dir);
- }
- else if (x > Extended_Int<To_Policy, Type>::max + y)
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- to = x - y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-sub_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_sub)
- return sub_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- if (CHECK_P(To_Policy::check_overflow,
- (x < Extended_Int<To_Policy, Type>::min + y)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- to = x - y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-mul_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_mul)
- return mul_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- if (!To_Policy::check_overflow) {
- to = x * y;
- return V_EQ;
- }
- if (y == 0) {
- to = 0;
- return V_EQ;
- }
- if (y == -1)
- return neg_signed_int<To_Policy, From1_Policy>(to, x, dir);
- if (x >= 0) {
- if (y > 0) {
- if (x > Extended_Int<To_Policy, Type>::max / y)
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- else {
- if (x > Extended_Int<To_Policy, Type>::min / y)
- return set_neg_overflow_int<To_Policy>(to, dir);
- }
- }
- else {
- if (y < 0) {
- if (x < Extended_Int<To_Policy, Type>::max / y)
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- else {
- if (x < Extended_Int<To_Policy, Type>::min / y)
- return set_neg_overflow_int<To_Policy>(to, dir);
- }
- }
- to = x * y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-mul_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (To_Policy::check_overflow && Larger<Type>::use_for_mul)
- return mul_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
- if (!To_Policy::check_overflow) {
- to = x * y;
- return V_EQ;
- }
- if (y == 0) {
- to = 0;
- return V_EQ;
- }
- if (x > Extended_Int<To_Policy, Type>::max / y)
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = x * y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-div_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- if (To_Policy::check_overflow && y == -1)
- return neg_signed_int<To_Policy, From1_Policy>(to, x, dir);
- to = x / y;
- if (round_not_requested(dir))
- return V_LGE;
- if (y == -1)
- return V_EQ;
- Type m = x % y;
- if (m < 0)
- return round_lt_int_no_overflow<To_Policy>(to, dir);
- else if (m > 0)
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- else
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-div_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- to = x / y;
- if (round_not_requested(dir))
- return V_GE;
- Type m = x % y;
- if (m == 0)
- return V_EQ;
- return round_gt_int<To_Policy>(to, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-idiv_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- if (To_Policy::check_overflow && y == -1)
- return neg_signed_int<To_Policy, From1_Policy>(to, x, dir);
- to = x / y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-idiv_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- to = x / y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-rem_signed_int(Type& to, const Type x, const Type y, Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
- return assign_nan<To_Policy>(to, V_MOD_ZERO);
- }
- to = (y == -1) ? 0 : (x % y);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-rem_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
- return assign_nan<To_Policy>(to, V_MOD_ZERO);
- }
- to = x % y;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-div_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (exp >= sizeof_to_bits(sizeof(Type))) {
- to = 0;
- if (round_not_requested(dir))
- return V_GE;
- if (x == 0)
- return V_EQ;
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- }
- to = x >> exp;
- if (round_not_requested(dir))
- return V_GE;
- if (x & ((Type(1) << exp) - 1))
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- else
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-div_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (exp > sizeof_to_bits(sizeof(Type)) - 1) {
- zero:
- to = 0;
- if (round_not_requested(dir))
- return V_LGE;
- if (x < 0)
- return round_lt_int_no_overflow<To_Policy>(to, dir);
- else if (x > 0)
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- else
- return V_EQ;
- }
- if (exp == sizeof_to_bits(sizeof(Type)) - 1) {
- if (x == C_Integer<Type>::min) {
- to = -1;
- return V_EQ;
- }
- goto zero;
- }
-#if 0
- to = x / (Type(1) << exp);
- if (round_not_requested(dir))
- return V_GE;
- Type r = x % (Type(1) << exp);
- if (r < 0)
- return round_lt_int_no_overflow<To_Policy>(to, dir);
- else if (r > 0)
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- else
- return V_EQ;
-#else
- // Faster but compiler implementation dependent (see C++98 5.8.3)
- to = x >> exp;
- if (round_not_requested(dir))
- return V_GE;
- if (x & ((Type(1) << exp) - 1))
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- return V_EQ;
-#endif
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-add_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x + (Type(1) << exp);
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- Type n = Type(1) << exp;
- return add_unsigned_int<To_Policy, From_Policy, void>(to, x, n, dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-add_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x + (Type(1) << exp);
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- if (exp == sizeof_to_bits(sizeof(Type)) - 1) {
- Type n = -2 * (Type(1) << (exp - 1));
- return sub_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
- }
- else {
- Type n = Type(1) << exp;
- return add_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-sub_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x - (Type(1) << exp);
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- Type n = Type(1) << exp;
- return sub_unsigned_int<To_Policy, From_Policy, void>(to, x, n, dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-sub_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x - (Type(1) << exp);
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- if (exp == sizeof_to_bits(sizeof(Type)) - 1) {
- Type n = -2 * (Type(1) << (exp - 1));
- return add_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
- }
- else {
- Type n = Type(1) << exp;
- return sub_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
- }
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-mul_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x << exp;
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type))) {
- if (x == 0) {
- to = 0;
- return V_EQ;
- }
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- if (x & (((Type(1) << exp) - 1) << (sizeof_to_bits(sizeof(Type)) - exp)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- Type n = x << exp;
- if (PPL_GT_SILENT(n, (Extended_Int<To_Policy, Type>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = n;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-mul_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x << exp;
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type)) - 1) {
- if (x < 0)
- return set_neg_overflow_int<To_Policy>(to, dir);
- else if (x > 0)
- return set_pos_overflow_int<To_Policy>(to, dir);
- else {
- to = 0;
- return V_EQ;
- }
- }
- Type mask = ((Type(1) << exp) - 1) << ((sizeof_to_bits(sizeof(Type)) - 1) - exp);
- Type n;
- if (x < 0) {
- if ((x & mask) != mask)
- return set_neg_overflow_int<To_Policy>(to, dir);
- n = x << exp;
- if (PPL_LT_SILENT(n, (Extended_Int<To_Policy, Type>::min)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- }
- else {
- if (x & mask)
- return set_pos_overflow_int<To_Policy>(to, dir);
- n = x << exp;
- if (PPL_GT_SILENT(n, (Extended_Int<To_Policy, Type>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- }
- to = n;
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-smod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (exp > sizeof_to_bits(sizeof(Type)))
- to = x;
- else {
- Type v = (exp == sizeof_to_bits(sizeof(Type)) ? x : (x & ((Type(1) << exp) - 1)));
- if (v >= (Type(1) << (exp - 1)))
- return set_neg_overflow_int<To_Policy>(to, dir);
- else
- to = v;
- }
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-smod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir) {
- if (exp >= sizeof_to_bits(sizeof(Type)))
- to = x;
- else {
- Type m = Type(1) << (exp - 1);
- to = (x & (m - 1)) - (x & m);
- }
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-umod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir) {
- if (exp >= sizeof_to_bits(sizeof(Type)))
- to = x;
- else
- to = x & ((Type(1) << exp) - 1);
- return V_EQ;
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-umod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
- if (exp >= sizeof_to_bits(sizeof(Type))) {
- if (x < 0)
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = x;
- }
- else
- to = x & ((Type(1) << exp) - 1);
- return V_EQ;
-}
-
-template <typename Type>
-inline void
-isqrt_rem(Type& q, Type& r, const Type from) {
- q = 0;
- r = from;
- Type t(1);
- for (t <<= sizeof_to_bits(sizeof(Type)) - 2; t != 0; t >>= 2) {
- Type s = q + t;
- if (s <= r) {
- r -= s;
- q = s + t;
- }
- q >>= 1;
- }
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-sqrt_unsigned_int(Type& to, const Type from, Rounding_Dir dir) {
- Type rem;
- isqrt_rem(to, rem, from);
- if (round_not_requested(dir))
- return V_GE;
- if (rem == 0)
- return V_EQ;
- return round_gt_int<To_Policy>(to, dir);
-}
-
-template <typename To_Policy, typename From_Policy, typename Type>
-inline Result
-sqrt_signed_int(Type& to, const Type from, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_sqrt_neg, from < 0)) {
- return assign_nan<To_Policy>(to, V_SQRT_NEG);
- }
- return sqrt_unsigned_int<To_Policy, From_Policy>(to, from, dir);
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-add_mul_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- Type z;
- Result r = mul<To_Policy, From1_Policy, From2_Policy>(z, x, y, dir);
- switch (result_overflow(r)) {
- case 0:
- return add<To_Policy, To_Policy, To_Policy>(to, to, z, dir);
- case -1:
- if (to <= 0)
- return set_neg_overflow_int<To_Policy>(to, dir);
- return assign_nan<To_Policy>(to, V_UNKNOWN_NEG_OVERFLOW);
- case 1:
- if (to >= 0)
- return set_pos_overflow_int<To_Policy>(to, dir);
- return assign_nan<To_Policy>(to, V_UNKNOWN_POS_OVERFLOW);
- default:
- PPL_UNREACHABLE;
- return V_NAN;
- }
-}
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
-inline Result
-sub_mul_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
- Type z;
- Result r = mul<To_Policy, From1_Policy, From2_Policy>(z, x, y, dir);
- switch (result_overflow(r)) {
- case 0:
- return sub<To_Policy, To_Policy, To_Policy>(to, to, z, dir);
- case -1:
- if (to >= 0)
- return set_pos_overflow_int<To_Policy>(to, dir);
- return assign_nan<To_Policy>(to, V_UNKNOWN_NEG_OVERFLOW);
- case 1:
- if (to <= 0)
- return set_neg_overflow_int<To_Policy>(to, dir);
- return assign_nan<To_Policy>(to, V_UNKNOWN_POS_OVERFLOW);
- default:
- PPL_UNREACHABLE;
- return V_NAN;
- }
-}
-
-template <typename Policy, typename Type>
-inline Result
-output_char(std::ostream& os, Type& from,
- const Numeric_Format&, Rounding_Dir) {
- os << int(from);
- return V_EQ;
-}
-
-template <typename Policy, typename Type>
-inline Result
-output_int(std::ostream& os, Type& from, const Numeric_Format&, Rounding_Dir) {
- os << from;
- return V_EQ;
-}
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed char, signed char)
-PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed short, signed short)
-PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed int, signed int)
-PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed long, signed long)
-PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed char, signed char)
-PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed short, signed short)
-PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed int, signed int)
-PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed long, signed long)
-PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed char, signed char)
-PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed short, signed short)
-PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed int, signed int)
-PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed long, signed long)
-PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_NEG(neg_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_NEG(neg_signed_int, signed char, signed char)
-PPL_SPECIALIZE_NEG(neg_signed_int, signed short, signed short)
-PPL_SPECIALIZE_NEG(neg_signed_int, signed int, signed int)
-PPL_SPECIALIZE_NEG(neg_signed_int, signed long, signed long)
-PPL_SPECIALIZE_NEG(neg_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_NEG(neg_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ADD(add_signed_int, char, char, char)
-#endif
-PPL_SPECIALIZE_ADD(add_signed_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_ADD(add_signed_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_ADD(add_signed_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_ADD(add_signed_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_ADD(add_signed_int, signed long long, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ADD(add_unsigned_int, char, char, char)
-#endif
-PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SUB(sub_signed_int, char, char, char)
-#endif
-PPL_SPECIALIZE_SUB(sub_signed_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_SUB(sub_signed_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_SUB(sub_signed_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_SUB(sub_signed_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_SUB(sub_signed_int, signed long long, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SUB(sub_unsigned_int, char, char, char)
-#endif
-PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_MUL(mul_signed_int, char, char, char)
-#endif
-PPL_SPECIALIZE_MUL(mul_signed_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_MUL(mul_signed_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_MUL(mul_signed_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_MUL(mul_signed_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_MUL(mul_signed_int, signed long long, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_MUL(mul_unsigned_int, char, char, char)
-#endif
-PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_DIV(div_signed_int, char, char, char)
-#endif
-PPL_SPECIALIZE_DIV(div_signed_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_DIV(div_signed_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_DIV(div_signed_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_DIV(div_signed_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_DIV(div_signed_int, signed long long, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_DIV(div_unsigned_int, char, char, char)
-#endif
-PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_IDIV(idiv_signed_int, char, char, char)
-#endif
-PPL_SPECIALIZE_IDIV(idiv_signed_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_IDIV(idiv_signed_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_IDIV(idiv_signed_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_IDIV(idiv_signed_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_IDIV(idiv_signed_int, signed long long, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_IDIV(idiv_unsigned_int, char, char, char)
-#endif
-PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_REM(rem_signed_int, char, char, char)
-#endif
-PPL_SPECIALIZE_REM(rem_signed_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_REM(rem_signed_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_REM(rem_signed_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_REM(rem_signed_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_REM(rem_signed_int, signed long long, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_REM(rem_unsigned_int, char, char, char)
-#endif
-PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed char, signed char)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed short, signed short)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed int, signed int)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed long, signed long)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed char, signed char)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed short, signed short)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed int, signed int)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed long, signed long)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed char, signed char)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed short, signed short)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed int, signed int)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed long, signed long)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed char, signed char)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed short, signed short)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed int, signed int)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed long, signed long)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed char, signed char)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed short, signed short)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed int, signed int)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed long, signed long)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed char, signed char)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed short, signed short)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed int, signed int)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed long, signed long)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SQRT(sqrt_signed_int, char, char)
-#endif
-PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed char, signed char)
-PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed short, signed short)
-PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed int, signed int)
-PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed long, signed long)
-PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned long long, unsigned long long)
-
-#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ABS(abs_generic, char, char)
-#endif
-PPL_SPECIALIZE_ABS(abs_generic, signed char, signed char)
-PPL_SPECIALIZE_ABS(abs_generic, signed short, signed short)
-PPL_SPECIALIZE_ABS(abs_generic, signed int, signed int)
-PPL_SPECIALIZE_ABS(abs_generic, signed long, signed long)
-PPL_SPECIALIZE_ABS(abs_generic, signed long long, signed long long)
-#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
-PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, char, char)
-#endif
-PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
-PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
-PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
-PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
-PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_GCD(gcd_exact, char, char, char)
-PPL_SPECIALIZE_GCD(gcd_exact, signed char, signed char, signed char)
-PPL_SPECIALIZE_GCD(gcd_exact, signed short, signed short, signed short)
-PPL_SPECIALIZE_GCD(gcd_exact, signed int, signed int, signed int)
-PPL_SPECIALIZE_GCD(gcd_exact, signed long, signed long, signed long)
-PPL_SPECIALIZE_GCD(gcd_exact, signed long long, signed long long, signed long long)
-PPL_SPECIALIZE_GCD(gcd_exact, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_GCD(gcd_exact, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_GCD(gcd_exact, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_GCD(gcd_exact, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_GCD(gcd_exact, unsigned long long, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, char, char, char, char, char)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed char, signed char, signed char, signed char, signed char)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed short, signed short, signed short, signed short, signed short)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed int, signed int, signed int, signed int, signed int)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed long, signed long, signed long, signed long, signed long)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed long long, signed long long, signed long long, signed long long, signed long long)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned char, unsigned char, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned short, unsigned short, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned int, unsigned int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned long, unsigned long, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned long long, unsigned long long, unsigned long long, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, char, char, char)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed char, signed char, signed char)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed short, signed short, signed short)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed int, signed int, signed int)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed long, signed long, signed long)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed long long, signed long long, signed long long)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned long long, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_SGN(sgn_generic, char)
-PPL_SPECIALIZE_SGN(sgn_generic, signed char)
-PPL_SPECIALIZE_SGN(sgn_generic, signed short)
-PPL_SPECIALIZE_SGN(sgn_generic, signed int)
-PPL_SPECIALIZE_SGN(sgn_generic, signed long)
-PPL_SPECIALIZE_SGN(sgn_generic, signed long long)
-PPL_SPECIALIZE_SGN(sgn_generic, unsigned char)
-PPL_SPECIALIZE_SGN(sgn_generic, unsigned short)
-PPL_SPECIALIZE_SGN(sgn_generic, unsigned int)
-PPL_SPECIALIZE_SGN(sgn_generic, unsigned long)
-PPL_SPECIALIZE_SGN(sgn_generic, unsigned long long)
-
-PPL_SPECIALIZE_CMP(cmp_generic, char, char)
-PPL_SPECIALIZE_CMP(cmp_generic, signed char, signed char)
-PPL_SPECIALIZE_CMP(cmp_generic, signed short, signed short)
-PPL_SPECIALIZE_CMP(cmp_generic, signed int, signed int)
-PPL_SPECIALIZE_CMP(cmp_generic, signed long, signed long)
-PPL_SPECIALIZE_CMP(cmp_generic, signed long long, signed long long)
-PPL_SPECIALIZE_CMP(cmp_generic, unsigned char, unsigned char)
-PPL_SPECIALIZE_CMP(cmp_generic, unsigned short, unsigned short)
-PPL_SPECIALIZE_CMP(cmp_generic, unsigned int, unsigned int)
-PPL_SPECIALIZE_CMP(cmp_generic, unsigned long, unsigned long)
-PPL_SPECIALIZE_CMP(cmp_generic, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, char, char, char)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed long long, signed long long, signed long long)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned long long, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, char, char, char)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed char, signed char, signed char)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed short, signed short, signed short)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed int, signed int, signed int)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed long, signed long, signed long)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed long long, signed long long, signed long long)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned char, unsigned char, unsigned char)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned short, unsigned short, unsigned short)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned int, unsigned int, unsigned int)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned long, unsigned long, unsigned long)
-PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned long long, unsigned long long, unsigned long long)
-
-PPL_SPECIALIZE_INPUT(input_generic, char)
-PPL_SPECIALIZE_INPUT(input_generic, signed char)
-PPL_SPECIALIZE_INPUT(input_generic, signed short)
-PPL_SPECIALIZE_INPUT(input_generic, signed int)
-PPL_SPECIALIZE_INPUT(input_generic, signed long)
-PPL_SPECIALIZE_INPUT(input_generic, signed long long)
-PPL_SPECIALIZE_INPUT(input_generic, unsigned char)
-PPL_SPECIALIZE_INPUT(input_generic, unsigned short)
-PPL_SPECIALIZE_INPUT(input_generic, unsigned int)
-PPL_SPECIALIZE_INPUT(input_generic, unsigned long)
-PPL_SPECIALIZE_INPUT(input_generic, unsigned long long)
-
-PPL_SPECIALIZE_OUTPUT(output_char, char)
-PPL_SPECIALIZE_OUTPUT(output_char, signed char)
-PPL_SPECIALIZE_OUTPUT(output_int, signed short)
-PPL_SPECIALIZE_OUTPUT(output_int, signed int)
-PPL_SPECIALIZE_OUTPUT(output_int, signed long)
-PPL_SPECIALIZE_OUTPUT(output_int, signed long long)
-PPL_SPECIALIZE_OUTPUT(output_char, unsigned char)
-PPL_SPECIALIZE_OUTPUT(output_int, unsigned short)
-PPL_SPECIALIZE_OUTPUT(output_int, unsigned int)
-PPL_SPECIALIZE_OUTPUT(output_int, unsigned long)
-PPL_SPECIALIZE_OUTPUT(output_int, unsigned long long)
-
-} // namespace Checked
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_checked_int_inlines_hh)
diff --git a/src/checked_int_inlines.hh b/src/checked_int_inlines.hh
new file mode 100644
index 0000000..3ebd1a3
--- /dev/null
+++ b/src/checked_int_inlines.hh
@@ -0,0 +1,1952 @@
+/* Specialized "checked" functions for native integer numbers.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_int_inlines_hh
+#define PPL_checked_int_inlines_hh 1
+
+#include "C_Integer.hh"
+#include <cerrno>
+#include <cstdlib>
+#include <climits>
+#include <string>
+
+#if !PPL_HAVE_DECL_STRTOLL
+signed long long
+strtoll(const char* nptr, char** endptr, int base);
+#endif
+
+#if !PPL_HAVE_DECL_STRTOULL
+unsigned long long
+strtoull(const char* nptr, char** endptr, int base);
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+namespace Checked {
+
+#ifndef PPL_HAVE_INT_FAST16_T
+typedef int16_t int_fast16_t;
+#endif
+
+#ifndef PPL_HAVE_INT_FAST32_T
+typedef int32_t int_fast32_t;
+#endif
+
+#ifndef PPL_HAVE_INT_FAST64_T
+typedef int64_t int_fast64_t;
+#endif
+
+#ifndef PPL_HAVE_UINT_FAST16_T
+typedef uint16_t uint_fast16_t;
+#endif
+
+#ifndef PPL_HAVE_UINT_FAST32_T
+typedef uint32_t uint_fast32_t;
+#endif
+
+#ifndef PPL_HAVE_UINT_FAST64_T
+typedef uint64_t uint_fast64_t;
+#endif
+
+template <typename Policy, typename Type>
+struct Extended_Int {
+ static const Type plus_infinity = C_Integer<Type>::max;
+ static const Type minus_infinity = ((C_Integer<Type>::min >= 0)
+ ? (C_Integer<Type>::max - 1)
+ : C_Integer<Type>::min);
+ static const Type not_a_number
+ = ((C_Integer<Type>::min >= 0)
+ ? (C_Integer<Type>::max - 2 * (Policy::has_infinity ? 1 : 0))
+ : (C_Integer<Type>::min + (Policy::has_infinity ? 1 : 0)));
+ static const Type min
+ = (C_Integer<Type>::min
+ + ((C_Integer<Type>::min >= 0)
+ ? 0
+ : ((Policy::has_infinity ? 1 : 0) + (Policy::has_nan ? 1 : 0))));
+ static const Type max
+ = (C_Integer<Type>::max
+ - ((C_Integer<Type>::min >= 0)
+ ? (2 * (Policy::has_infinity ? 1 : 0) + (Policy::has_nan ? 1 : 0))
+ : (Policy::has_infinity ? 1 : 0)));
+};
+
+template <typename Policy, typename To>
+inline Result
+set_neg_overflow_int(To& to, Rounding_Dir dir) {
+ if (round_up(dir)) {
+ to = Extended_Int<Policy, To>::min;
+ return V_LT_INF;
+ }
+ else {
+ if (Policy::has_infinity) {
+ to = Extended_Int<Policy, To>::minus_infinity;
+ return V_GT_MINUS_INFINITY;
+ }
+ return V_GT_MINUS_INFINITY | V_UNREPRESENTABLE;
+ }
+}
+
+template <typename Policy, typename To>
+inline Result
+set_pos_overflow_int(To& to, Rounding_Dir dir) {
+ if (round_down(dir)) {
+ to = Extended_Int<Policy, To>::max;
+ return V_GT_SUP;
+ }
+ else {
+ if (Policy::has_infinity) {
+ to = Extended_Int<Policy, To>::plus_infinity;
+ return V_LT_PLUS_INFINITY;
+ }
+ return V_LT_PLUS_INFINITY | V_UNREPRESENTABLE;
+ }
+}
+
+template <typename Policy, typename To>
+inline Result
+round_lt_int_no_overflow(To& to, Rounding_Dir dir) {
+ if (round_down(dir)) {
+ --to;
+ return V_GT;
+ }
+ return V_LT;
+}
+
+template <typename Policy, typename To>
+inline Result
+round_gt_int_no_overflow(To& to, Rounding_Dir dir) {
+ if (round_up(dir)) {
+ ++to;
+ return V_LT;
+ }
+ return V_GT;
+}
+
+template <typename Policy, typename To>
+inline Result
+round_lt_int(To& to, Rounding_Dir dir) {
+ if (round_down(dir)) {
+ if (to == Extended_Int<Policy, To>::min) {
+ if (Policy::has_infinity) {
+ to = Extended_Int<Policy, To>::minus_infinity;
+ return V_GT_MINUS_INFINITY;
+ }
+ return V_GT_MINUS_INFINITY | V_UNREPRESENTABLE;
+ }
+ else {
+ --to;
+ return V_GT;
+ }
+ }
+ return V_LT;
+}
+
+template <typename Policy, typename To>
+inline Result
+round_gt_int(To& to, Rounding_Dir dir) {
+ if (round_up(dir)) {
+ if (to == Extended_Int<Policy, To>::max) {
+ if (Policy::has_infinity) {
+ to = Extended_Int<Policy, To>::plus_infinity;
+ return V_LT_PLUS_INFINITY;
+ }
+ return V_LT_PLUS_INFINITY | V_UNREPRESENTABLE;
+ }
+ else {
+ ++to;
+ return V_LT;
+ }
+ }
+ return V_GT;
+}
+
+PPL_SPECIALIZE_COPY(copy_generic, char)
+PPL_SPECIALIZE_COPY(copy_generic, signed char)
+PPL_SPECIALIZE_COPY(copy_generic, signed short)
+PPL_SPECIALIZE_COPY(copy_generic, signed int)
+PPL_SPECIALIZE_COPY(copy_generic, signed long)
+PPL_SPECIALIZE_COPY(copy_generic, signed long long)
+PPL_SPECIALIZE_COPY(copy_generic, unsigned char)
+PPL_SPECIALIZE_COPY(copy_generic, unsigned short)
+PPL_SPECIALIZE_COPY(copy_generic, unsigned int)
+PPL_SPECIALIZE_COPY(copy_generic, unsigned long)
+PPL_SPECIALIZE_COPY(copy_generic, unsigned long long)
+
+template <typename Policy, typename Type>
+inline Result
+classify_int(const Type v, bool nan, bool inf, bool sign) {
+ if (Policy::has_nan
+ && (nan || sign)
+ && v == Extended_Int<Policy, Type>::not_a_number)
+ return V_NAN;
+ if (!inf && !sign)
+ return V_LGE;
+ if (Policy::has_infinity) {
+ if (v == Extended_Int<Policy, Type>::minus_infinity)
+ return inf ? V_EQ_MINUS_INFINITY : V_LT;
+ if (v == Extended_Int<Policy, Type>::plus_infinity)
+ return inf ? V_EQ_PLUS_INFINITY : V_GT;
+ }
+ if (sign) {
+ if (v < 0)
+ return V_LT;
+ if (v > 0)
+ return V_GT;
+ return V_EQ;
+ }
+ return V_LGE;
+}
+
+PPL_SPECIALIZE_CLASSIFY(classify_int, char)
+PPL_SPECIALIZE_CLASSIFY(classify_int, signed char)
+PPL_SPECIALIZE_CLASSIFY(classify_int, signed short)
+PPL_SPECIALIZE_CLASSIFY(classify_int, signed int)
+PPL_SPECIALIZE_CLASSIFY(classify_int, signed long)
+PPL_SPECIALIZE_CLASSIFY(classify_int, signed long long)
+PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned char)
+PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned short)
+PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned int)
+PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned long)
+PPL_SPECIALIZE_CLASSIFY(classify_int, unsigned long long)
+
+template <typename Policy, typename Type>
+inline bool
+is_nan_int(const Type v) {
+ return Policy::has_nan && v == Extended_Int<Policy, Type>::not_a_number;
+}
+
+PPL_SPECIALIZE_IS_NAN(is_nan_int, char)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, signed char)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, signed short)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, signed int)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, signed long)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, signed long long)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned char)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned short)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned int)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned long)
+PPL_SPECIALIZE_IS_NAN(is_nan_int, unsigned long long)
+
+template <typename Policy, typename Type>
+inline bool
+is_minf_int(const Type v) {
+ return Policy::has_infinity
+ && v == Extended_Int<Policy, Type>::minus_infinity;
+}
+
+PPL_SPECIALIZE_IS_MINF(is_minf_int, char)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, signed char)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, signed short)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, signed int)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, signed long)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, signed long long)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned char)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned short)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned int)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned long)
+PPL_SPECIALIZE_IS_MINF(is_minf_int, unsigned long long)
+
+template <typename Policy, typename Type>
+inline bool
+is_pinf_int(const Type v) {
+ return Policy::has_infinity
+ && v == Extended_Int<Policy, Type>::plus_infinity;
+}
+
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, char)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed char)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed short)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed int)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed long)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, signed long long)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned char)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned short)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned int)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned long)
+PPL_SPECIALIZE_IS_PINF(is_pinf_int, unsigned long long)
+
+template <typename Policy, typename Type>
+inline bool
+is_int_int(const Type v) {
+ return !is_nan<Policy>(v);
+}
+
+PPL_SPECIALIZE_IS_INT(is_int_int, char)
+PPL_SPECIALIZE_IS_INT(is_int_int, signed char)
+PPL_SPECIALIZE_IS_INT(is_int_int, signed short)
+PPL_SPECIALIZE_IS_INT(is_int_int, signed int)
+PPL_SPECIALIZE_IS_INT(is_int_int, signed long)
+PPL_SPECIALIZE_IS_INT(is_int_int, signed long long)
+PPL_SPECIALIZE_IS_INT(is_int_int, unsigned char)
+PPL_SPECIALIZE_IS_INT(is_int_int, unsigned short)
+PPL_SPECIALIZE_IS_INT(is_int_int, unsigned int)
+PPL_SPECIALIZE_IS_INT(is_int_int, unsigned long)
+PPL_SPECIALIZE_IS_INT(is_int_int, unsigned long long)
+
+template <typename Policy, typename Type>
+inline Result
+assign_special_int(Type& v, Result_Class c, Rounding_Dir dir) {
+ PPL_ASSERT(c == VC_MINUS_INFINITY || c == VC_PLUS_INFINITY || c == VC_NAN);
+ switch (c) {
+ case VC_NAN:
+ if (Policy::has_nan) {
+ v = Extended_Int<Policy, Type>::not_a_number;
+ return V_NAN;
+ }
+ return V_NAN | V_UNREPRESENTABLE;
+ case VC_MINUS_INFINITY:
+ if (Policy::has_infinity) {
+ v = Extended_Int<Policy, Type>::minus_infinity;
+ return V_EQ_MINUS_INFINITY;
+ }
+ if (round_up(dir)) {
+ v = Extended_Int<Policy, Type>::min;
+ return V_LT_INF;
+ }
+ return V_EQ_MINUS_INFINITY | V_UNREPRESENTABLE;
+ case VC_PLUS_INFINITY:
+ if (Policy::has_infinity) {
+ v = Extended_Int<Policy, Type>::plus_infinity;
+ return V_EQ_PLUS_INFINITY;
+ }
+ if (round_down(dir)) {
+ v = Extended_Int<Policy, Type>::max;
+ return V_GT_SUP;
+ }
+ return V_EQ_PLUS_INFINITY | V_UNREPRESENTABLE;
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN | V_UNREPRESENTABLE;
+ }
+}
+
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, char)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed char)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed short)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed int)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed long)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, signed long long)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned char)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned short)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned int)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned long)
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_int, unsigned long long)
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_signed_int_signed_int(To& to, const From from, Rounding_Dir dir) {
+ if (sizeof(To) < sizeof(From)
+ || (sizeof(To) == sizeof(From)
+ && (Extended_Int<To_Policy, To>::min > Extended_Int<From_Policy, From>::min
+ || Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max))) {
+ if (CHECK_P(To_Policy::check_overflow,
+ PPL_LT_SILENT(from,
+ static_cast<From>(Extended_Int<To_Policy, To>::min))))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (CHECK_P(To_Policy::check_overflow,
+ PPL_GT_SILENT(from,
+ static_cast<From>(Extended_Int<To_Policy, To>::max))))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ to = static_cast<To>(from);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_signed_int_unsigned_int(To& to, const From from, Rounding_Dir dir) {
+ if (sizeof(To) <= sizeof(From)) {
+ if (CHECK_P(To_Policy::check_overflow,
+ from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ to = static_cast<To>(from);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_unsigned_int_signed_int(To& to, const From from, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_overflow, from < 0))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (sizeof(To) < sizeof(From)) {
+ if (CHECK_P(To_Policy::check_overflow,
+ from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ to = static_cast<To>(from);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_unsigned_int_unsigned_int(To& to, const From from, Rounding_Dir dir) {
+ if (sizeof(To) < sizeof(From)
+ || (sizeof(To) == sizeof(From)
+ && Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max)) {
+ if (CHECK_P(To_Policy::check_overflow,
+ PPL_GT_SILENT(from,
+ static_cast<From>(Extended_Int<To_Policy, To>::max))))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ to = static_cast<To>(from);
+ return V_EQ;
+}
+
+
+#define PPL_ASSIGN2_SIGNED_SIGNED(Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_signed_int, Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_signed_int, Larger, Smaller)
+
+#define PPL_ASSIGN2_UNSIGNED_UNSIGNED(Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_unsigned_int, Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_unsigned_int, Larger, Smaller)
+
+#define PPL_ASSIGN2_UNSIGNED_SIGNED(Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_signed_int, Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_unsigned_int, Larger, Smaller)
+
+#define PPL_ASSIGN2_SIGNED_UNSIGNED(Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_unsigned_int, Smaller, Larger) \
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_signed_int, Larger, Smaller)
+
+#define PPL_ASSIGN_SIGNED(Type) \
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_signed_int, Type, Type)
+#define PPL_ASSIGN_UNSIGNED(Type) \
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_unsigned_int, Type, Type)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_ASSIGN_SIGNED(char)
+#endif
+PPL_ASSIGN_SIGNED(signed char)
+PPL_ASSIGN_SIGNED(signed short)
+PPL_ASSIGN_SIGNED(signed int)
+PPL_ASSIGN_SIGNED(signed long)
+PPL_ASSIGN_SIGNED(signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_ASSIGN_UNSIGNED(char)
+#endif
+PPL_ASSIGN_UNSIGNED(unsigned char)
+PPL_ASSIGN_UNSIGNED(unsigned short)
+PPL_ASSIGN_UNSIGNED(unsigned int)
+PPL_ASSIGN_UNSIGNED(unsigned long)
+PPL_ASSIGN_UNSIGNED(unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_ASSIGN2_SIGNED_SIGNED(char, signed short)
+PPL_ASSIGN2_SIGNED_SIGNED(char, signed int)
+PPL_ASSIGN2_SIGNED_SIGNED(char, signed long)
+PPL_ASSIGN2_SIGNED_SIGNED(char, signed long long)
+#endif
+PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed short)
+PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed int)
+PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed long)
+PPL_ASSIGN2_SIGNED_SIGNED(signed char, signed long long)
+PPL_ASSIGN2_SIGNED_SIGNED(signed short, signed int)
+PPL_ASSIGN2_SIGNED_SIGNED(signed short, signed long)
+PPL_ASSIGN2_SIGNED_SIGNED(signed short, signed long long)
+PPL_ASSIGN2_SIGNED_SIGNED(signed int, signed long)
+PPL_ASSIGN2_SIGNED_SIGNED(signed int, signed long long)
+PPL_ASSIGN2_SIGNED_SIGNED(signed long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned short)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned int)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(char, unsigned long long)
+#endif
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned short)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned int)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned char, unsigned long long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned short, unsigned int)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned short, unsigned long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned short, unsigned long long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned int, unsigned long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned int, unsigned long long)
+PPL_ASSIGN2_UNSIGNED_UNSIGNED(unsigned long, unsigned long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed short)
+PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed int)
+PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(char, signed long long)
+#endif
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed short)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed int)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned char, signed long long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned short, signed int)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned short, signed long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned short, signed long long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned int, signed long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned int, signed long long)
+PPL_ASSIGN2_UNSIGNED_SIGNED(unsigned long, signed long long)
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned char)
+PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned short)
+PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned int)
+PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(char, unsigned long long)
+#else
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, char)
+#endif
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned char)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned short)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned int)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed char, unsigned long long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned short)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned int)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed short, unsigned long long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed int, unsigned int)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed int, unsigned long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed int, unsigned long long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed long, unsigned long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed long, unsigned long long)
+PPL_ASSIGN2_SIGNED_UNSIGNED(signed long long, unsigned long long)
+
+template <typename To_Policy, typename From_Policy, typename To, typename From>
+inline Result
+assign_int_float(To& to, const From from, Rounding_Dir dir) {
+ if (is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+#if 0
+ // FIXME: this is correct but it is inefficient and breaks the build
+ // for the missing definition of static const members (a problem present
+ // also in other areas of the PPL).
+ if (CHECK_P(To_Policy::check_overflow, lt(from, Extended_Int<To_Policy, To>::min)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (CHECK_P(To_Policy::check_overflow, !le(from, Extended_Int<To_Policy, To>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+#else
+ if (CHECK_P(To_Policy::check_overflow, (from < Extended_Int<To_Policy, To>::min)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (CHECK_P(To_Policy::check_overflow, (from > Extended_Int<To_Policy, To>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+#endif
+ if (round_not_requested(dir)) {
+ to = from;
+ return V_LGE;
+ }
+ From i_from = rint(from);
+ to = i_from;
+ if (from == i_from)
+ return V_EQ;
+ if (round_direct(ROUND_UP))
+ return round_lt_int<To_Policy>(to, dir);
+ if (round_direct(ROUND_DOWN))
+ return round_gt_int<To_Policy>(to, dir);
+ if (from < i_from)
+ return round_lt_int<To_Policy>(to, dir);
+ PPL_ASSERT(from > i_from);
+ return round_gt_int<To_Policy>(to, dir);
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_int_float, char, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed char, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed short, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed int, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long long, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned char, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned short, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned int, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long, float)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long long, float)
+
+PPL_SPECIALIZE_ASSIGN(assign_int_float, char, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed char, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed short, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed int, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long long, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned char, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned short, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned int, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long, double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long long, double)
+
+PPL_SPECIALIZE_ASSIGN(assign_int_float, char, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed char, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed short, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed int, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, signed long long, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned char, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned short, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned int, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long, long double)
+PPL_SPECIALIZE_ASSIGN(assign_int_float, unsigned long long, long double)
+
+#undef PPL_ASSIGN_SIGNED
+#undef PPL_ASSIGN_UNSIGNED
+#undef PPL_ASSIGN2_SIGNED_SIGNED
+#undef PPL_ASSIGN2_UNSIGNED_UNSIGNED
+#undef PPL_ASSIGN2_UNSIGNED_SIGNED
+#undef PPL_ASSIGN2_SIGNED_UNSIGNED
+
+template <typename To_Policy, typename From_Policy, typename To>
+inline Result
+assign_signed_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
+ if (sizeof(To) <= sizeof(signed long)) {
+ if (!To_Policy::check_overflow) {
+ to = from.get_si();
+ return V_EQ;
+ }
+ if (from.fits_slong_p()) {
+ signed long v = from.get_si();
+ if (PPL_LT_SILENT(v, (Extended_Int<To_Policy, To>::min)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (PPL_GT_SILENT(v, (Extended_Int<To_Policy, To>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = v;
+ return V_EQ;
+ }
+ }
+ else {
+ mpz_srcptr m = from.get_mpz_t();
+ size_t sz = mpz_size(m);
+ if (sz <= sizeof(To) / sizeof(mp_limb_t)) {
+ if (sz == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ To v;
+ mpz_export(&v, 0, -1, sizeof(To), 0, 0, m);
+ if (v >= 0) {
+ if (::sgn(from) < 0)
+ return neg<To_Policy, To_Policy>(to, v, dir);
+ to = v;
+ return V_EQ;
+ }
+ }
+ }
+ return (::sgn(from) < 0)
+ ? set_neg_overflow_int<To_Policy>(to, dir)
+ : set_pos_overflow_int<To_Policy>(to, dir);
+}
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, char, mpz_class)
+#endif
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed char, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed short, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed int, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed long, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_signed_int_mpz, signed long long, mpz_class)
+
+template <typename To_Policy, typename From_Policy, typename To>
+inline Result
+assign_unsigned_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_overflow, ::sgn(from) < 0))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (sizeof(To) <= sizeof(unsigned long)) {
+ if (!To_Policy::check_overflow) {
+ to = static_cast<To>(from.get_ui());
+ return V_EQ;
+ }
+ if (from.fits_ulong_p()) {
+ const unsigned long v = from.get_ui();
+ if (PPL_GT_SILENT(v, (Extended_Int<To_Policy, To>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = static_cast<To>(v);
+ return V_EQ;
+ }
+ }
+ else {
+ const mpz_srcptr m = from.get_mpz_t();
+ const size_t sz = mpz_size(m);
+ if (sz <= sizeof(To) / sizeof(mp_limb_t)) {
+ if (sz == 0)
+ to = 0;
+ else
+ mpz_export(&to, 0, -1, sizeof(To), 0, 0, m);
+ return V_EQ;
+ }
+ }
+ return set_pos_overflow_int<To_Policy>(to, dir);
+}
+
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, char, mpz_class)
+#endif
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned char, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned short, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned int, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned long, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_unsigned_int_mpz, unsigned long long, mpz_class)
+
+template <typename To_Policy, typename From_Policy, typename To>
+inline Result
+assign_int_mpq(To& to, const mpq_class& from, Rounding_Dir dir) {
+ mpz_srcptr n = from.get_num().get_mpz_t();
+ mpz_srcptr d = from.get_den().get_mpz_t();
+ PPL_DIRTY_TEMP(mpz_class, q);
+ mpz_ptr q_z = q.get_mpz_t();
+ if (round_not_requested(dir)) {
+ mpz_tdiv_q(q_z, n, d);
+ Result r = assign<To_Policy, void>(to, q, dir);
+ if (r != V_EQ)
+ return r;
+ return V_LGE;
+ }
+ mpz_t rem;
+ int sign;
+ mpz_init(rem);
+ mpz_tdiv_qr(q_z, rem, n, d);
+ sign = mpz_sgn(rem);
+ mpz_clear(rem);
+ Result r = assign<To_Policy, void>(to, q, dir);
+ if (r != V_EQ)
+ return r;
+ switch (sign) {
+ case -1:
+ return round_lt_int<To_Policy>(to, dir);
+ case 1:
+ return round_gt_int<To_Policy>(to, dir);
+ default:
+ return V_EQ;
+ }
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, char, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed char, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed short, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed int, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed long, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, signed long long, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned char, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned short, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned int, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned long, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_int_mpq, unsigned long long, mpq_class)
+
+#if ~0 != -1
+#error "Only two's complement is supported"
+#endif
+
+#if UCHAR_MAX == 0xff
+#define CHAR_BITS 8
+#else
+#error "Unexpected max for unsigned char"
+#endif
+
+#if USHRT_MAX == 0xffff
+#define SHRT_BITS 16
+#else
+#error "Unexpected max for unsigned short"
+#endif
+
+#if UINT_MAX == 0xffffffff
+#define INT_BITS 32
+#else
+#error "Unexpected max for unsigned int"
+#endif
+
+#if ULONG_MAX == 0xffffffffUL
+#define LONG_BITS 32
+#elif ULONG_MAX == 0xffffffffffffffffULL
+#define LONG_BITS 64
+#else
+#error "Unexpected max for unsigned long"
+#endif
+
+#if ULLONG_MAX == 0xffffffffffffffffULL
+#define LONG_LONG_BITS 64
+#else
+#error "Unexpected max for unsigned long long"
+#endif
+
+
+template <typename T>
+struct Larger;
+
+// The following may be tuned for performance on specific architectures.
+//
+// Current guidelines:
+// - avoid division where possible (larger type variant for mul)
+// - use larger type variant for types smaller than architecture bit size
+
+template <>
+struct Larger<char> {
+ const_bool_nodef(use_for_neg, true);
+ const_bool_nodef(use_for_add, true);
+ const_bool_nodef(use_for_sub, true);
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast16_t type_for_neg;
+ typedef int_fast16_t type_for_add;
+ typedef int_fast16_t type_for_sub;
+ typedef int_fast16_t type_for_mul;
+};
+
+template <>
+struct Larger<signed char> {
+ const_bool_nodef(use_for_neg, true);
+ const_bool_nodef(use_for_add, true);
+ const_bool_nodef(use_for_sub, true);
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast16_t type_for_neg;
+ typedef int_fast16_t type_for_add;
+ typedef int_fast16_t type_for_sub;
+ typedef int_fast16_t type_for_mul;
+};
+
+template <>
+struct Larger<unsigned char> {
+ const_bool_nodef(use_for_neg, true);
+ const_bool_nodef(use_for_add, true);
+ const_bool_nodef(use_for_sub, true);
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast16_t type_for_neg;
+ typedef uint_fast16_t type_for_add;
+ typedef int_fast16_t type_for_sub;
+ typedef uint_fast16_t type_for_mul;
+};
+
+template <>
+struct Larger<signed short> {
+ const_bool_nodef(use_for_neg, true);
+ const_bool_nodef(use_for_add, true);
+ const_bool_nodef(use_for_sub, true);
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast32_t type_for_neg;
+ typedef int_fast32_t type_for_add;
+ typedef int_fast32_t type_for_sub;
+ typedef int_fast32_t type_for_mul;
+};
+
+template <>
+struct Larger<unsigned short> {
+ const_bool_nodef(use_for_neg, true);
+ const_bool_nodef(use_for_add, true);
+ const_bool_nodef(use_for_sub, true);
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast32_t type_for_neg;
+ typedef uint_fast32_t type_for_add;
+ typedef int_fast32_t type_for_sub;
+ typedef uint_fast32_t type_for_mul;
+};
+
+template <>
+struct Larger<signed int> {
+ const_bool_nodef(use_for_neg, (LONG_BITS == 64));
+ const_bool_nodef(use_for_add, (LONG_BITS == 64));
+ const_bool_nodef(use_for_sub, (LONG_BITS == 64));
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast64_t type_for_neg;
+ typedef int_fast64_t type_for_add;
+ typedef int_fast64_t type_for_sub;
+ typedef int_fast64_t type_for_mul;
+};
+
+template <>
+struct Larger<unsigned int> {
+ const_bool_nodef(use_for_neg, (LONG_BITS == 64));
+ const_bool_nodef(use_for_add, (LONG_BITS == 64));
+ const_bool_nodef(use_for_sub, (LONG_BITS == 64));
+ const_bool_nodef(use_for_mul, true);
+ typedef int_fast64_t type_for_neg;
+ typedef uint_fast64_t type_for_add;
+ typedef int_fast64_t type_for_sub;
+ typedef uint_fast64_t type_for_mul;
+};
+
+template <>
+struct Larger<signed long> {
+ const_bool_nodef(use_for_neg, false);
+ const_bool_nodef(use_for_add, false);
+ const_bool_nodef(use_for_sub, false);
+ const_bool_nodef(use_for_mul, (LONG_BITS == 32));
+ typedef int_fast64_t type_for_neg;
+ typedef int_fast64_t type_for_add;
+ typedef int_fast64_t type_for_sub;
+ typedef int_fast64_t type_for_mul;
+};
+
+template <>
+struct Larger<unsigned long> {
+ const_bool_nodef(use_for_neg, false);
+ const_bool_nodef(use_for_add, false);
+ const_bool_nodef(use_for_sub, false);
+ const_bool_nodef(use_for_mul, (LONG_BITS == 32));
+ typedef int_fast64_t type_for_neg;
+ typedef uint_fast64_t type_for_add;
+ typedef int_fast64_t type_for_sub;
+ typedef uint_fast64_t type_for_mul;
+};
+
+template <>
+struct Larger<signed long long> {
+ const_bool_nodef(use_for_neg, false);
+ const_bool_nodef(use_for_add, false);
+ const_bool_nodef(use_for_sub, false);
+ const_bool_nodef(use_for_mul, false);
+ typedef int_fast64_t type_for_neg;
+ typedef int_fast64_t type_for_add;
+ typedef int_fast64_t type_for_sub;
+ typedef int_fast64_t type_for_mul;
+};
+
+template <>
+struct Larger<unsigned long long> {
+ const_bool_nodef(use_for_neg, false);
+ const_bool_nodef(use_for_add, false);
+ const_bool_nodef(use_for_sub, false);
+ const_bool_nodef(use_for_mul, false);
+ typedef int_fast64_t type_for_neg;
+ typedef uint_fast64_t type_for_add;
+ typedef int_fast64_t type_for_sub;
+ typedef uint_fast64_t type_for_mul;
+};
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+neg_int_larger(Type& to, const Type x, Rounding_Dir dir) {
+ typename Larger<Type>::type_for_neg l = x;
+ l = -l;
+ return assign<To_Policy, To_Policy>(to, l, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+add_int_larger(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ typename Larger<Type>::type_for_add l = x;
+ l += y;
+ return assign<To_Policy, To_Policy>(to, l, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+sub_int_larger(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ typename Larger<Type>::type_for_sub l = x;
+ l -= y;
+ return assign<To_Policy, To_Policy>(to, l, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+mul_int_larger(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ typename Larger<Type>::type_for_mul l = x;
+ l *= y;
+ return assign<To_Policy, To_Policy>(to, l, dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+neg_signed_int(Type& to, const Type from, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_neg)
+ return neg_int_larger<To_Policy, From_Policy>(to, from, dir);
+ if (CHECK_P(To_Policy::check_overflow,
+ (from < -Extended_Int<To_Policy, Type>::max)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = -from;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+neg_unsigned_int(Type& to, const Type from, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_neg)
+ return neg_int_larger<To_Policy, From_Policy>(to, from, dir);
+ if (CHECK_P(To_Policy::check_overflow, from != 0))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ to = from;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+add_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_add)
+ return add_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ if (To_Policy::check_overflow) {
+ if (y >= 0) {
+ if (x > Extended_Int<To_Policy, Type>::max - y)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ else if (x < Extended_Int<To_Policy, Type>::min - y)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ }
+ to = x + y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+add_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_add)
+ return add_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ if (CHECK_P(To_Policy::check_overflow,
+ (x > Extended_Int<To_Policy, Type>::max - y)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = x + y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+sub_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_sub)
+ return sub_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ if (To_Policy::check_overflow) {
+ if (y >= 0) {
+ if (x < Extended_Int<To_Policy, Type>::min + y)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ }
+ else if (x > Extended_Int<To_Policy, Type>::max + y)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ to = x - y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+sub_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_sub)
+ return sub_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ if (CHECK_P(To_Policy::check_overflow,
+ (x < Extended_Int<To_Policy, Type>::min + y)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ to = x - y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+mul_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_mul)
+ return mul_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ if (!To_Policy::check_overflow) {
+ to = x * y;
+ return V_EQ;
+ }
+ if (y == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ if (y == -1)
+ return neg_signed_int<To_Policy, From1_Policy>(to, x, dir);
+ if (x >= 0) {
+ if (y > 0) {
+ if (x > Extended_Int<To_Policy, Type>::max / y)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ else {
+ if (x > Extended_Int<To_Policy, Type>::min / y)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ }
+ }
+ else {
+ if (y < 0) {
+ if (x < Extended_Int<To_Policy, Type>::max / y)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ else {
+ if (x < Extended_Int<To_Policy, Type>::min / y)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ }
+ }
+ to = x * y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+mul_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (To_Policy::check_overflow && Larger<Type>::use_for_mul)
+ return mul_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
+ if (!To_Policy::check_overflow) {
+ to = x * y;
+ return V_EQ;
+ }
+ if (y == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ if (x > Extended_Int<To_Policy, Type>::max / y)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = x * y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+div_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ if (To_Policy::check_overflow && y == -1)
+ return neg_signed_int<To_Policy, From1_Policy>(to, x, dir);
+ to = x / y;
+ if (round_not_requested(dir))
+ return V_LGE;
+ if (y == -1)
+ return V_EQ;
+ Type m = x % y;
+ if (m < 0)
+ return round_lt_int_no_overflow<To_Policy>(to, dir);
+ else if (m > 0)
+ return round_gt_int_no_overflow<To_Policy>(to, dir);
+ else
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+div_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ to = x / y;
+ if (round_not_requested(dir))
+ return V_GE;
+ Type m = x % y;
+ if (m == 0)
+ return V_EQ;
+ return round_gt_int<To_Policy>(to, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+idiv_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ if (To_Policy::check_overflow && y == -1)
+ return neg_signed_int<To_Policy, From1_Policy>(to, x, dir);
+ to = x / y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+idiv_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ to = x / y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+rem_signed_int(Type& to, const Type x, const Type y, Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
+ return assign_nan<To_Policy>(to, V_MOD_ZERO);
+ }
+ to = (y == -1) ? 0 : (x % y);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+rem_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, y == 0)) {
+ return assign_nan<To_Policy>(to, V_MOD_ZERO);
+ }
+ to = x % y;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+div_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (exp >= sizeof_to_bits(sizeof(Type))) {
+ to = 0;
+ if (round_not_requested(dir))
+ return V_GE;
+ if (x == 0)
+ return V_EQ;
+ return round_gt_int_no_overflow<To_Policy>(to, dir);
+ }
+ to = x >> exp;
+ if (round_not_requested(dir))
+ return V_GE;
+ if (x & ((Type(1) << exp) - 1))
+ return round_gt_int_no_overflow<To_Policy>(to, dir);
+ else
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+div_2exp_signed_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (x < 0) {
+ if (exp >= sizeof_to_bits(sizeof(Type))) {
+ to = 0;
+ if (round_not_requested(dir))
+ return V_LE;
+ return round_lt_int_no_overflow<To_Policy>(to, dir);
+ }
+ typedef typename C_Integer<Type>::other_type UType;
+ UType ux = x;
+ ux = -ux;
+ to = ~Type(~-(ux >> exp));
+ if (round_not_requested(dir))
+ return V_LE;
+ if (ux & ((UType(1) << exp) -1))
+ return round_lt_int_no_overflow<To_Policy>(to, dir);
+ return V_EQ;
+ }
+ else {
+ if (exp >= sizeof_to_bits(sizeof(Type)) - 1) {
+ to = 0;
+ if (round_not_requested(dir))
+ return V_GE;
+ if (x == 0)
+ return V_EQ;
+ return round_gt_int_no_overflow<To_Policy>(to, dir);
+ }
+ to = x >> exp;
+ if (round_not_requested(dir))
+ return V_GE;
+ if (x & ((Type(1) << exp) - 1))
+ return round_gt_int_no_overflow<To_Policy>(to, dir);
+ else
+ return V_EQ;
+ }
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+add_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (!To_Policy::check_overflow) {
+ to = x + (Type(1) << exp);
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ Type n = Type(1) << exp;
+ return add_unsigned_int<To_Policy, From_Policy, void>(to, x, n, dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+add_2exp_signed_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (!To_Policy::check_overflow) {
+ to = x + (Type(1) << exp);
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ if (exp == sizeof_to_bits(sizeof(Type)) - 1) {
+ Type n = -2 * (Type(1) << (exp - 1));
+ return sub_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
+ }
+ else {
+ Type n = Type(1) << exp;
+ return add_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+sub_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (!To_Policy::check_overflow) {
+ to = x - (Type(1) << exp);
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ Type n = Type(1) << exp;
+ return sub_unsigned_int<To_Policy, From_Policy, void>(to, x, n, dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+sub_2exp_signed_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (!To_Policy::check_overflow) {
+ to = x - (Type(1) << exp);
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ if (exp == sizeof_to_bits(sizeof(Type)) - 1) {
+ Type n = -2 * (Type(1) << (exp - 1));
+ return add_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
+ }
+ else {
+ Type n = Type(1) << exp;
+ return sub_signed_int<To_Policy, From_Policy, void>(to, x, n, dir);
+ }
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+mul_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (!To_Policy::check_overflow) {
+ to = x << exp;
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type))) {
+ if (x == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ if (x > Extended_Int<To_Policy, Type>::max >> exp)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = x << exp;
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+mul_2exp_signed_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (x < 0) {
+ if (!To_Policy::check_overflow) {
+ to = x * (Type(1) << exp);
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ typedef typename C_Integer<Type>::other_type UType;
+ UType mask = UType(-1) << (sizeof_to_bits(sizeof(Type)) - exp - 1);
+ UType ux = x;
+ if ((ux & mask) != mask)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ ux <<= exp;
+ Type n = ~(Type(~ux));
+ if (PPL_LT_SILENT(n, (Extended_Int<To_Policy, Type>::min)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ to = n;
+ }
+ else {
+ if (!To_Policy::check_overflow) {
+ to = x << exp;
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)) - 1) {
+ if (x == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ }
+ if (x > Extended_Int<To_Policy, Type>::max >> exp)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = x << exp;
+ }
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+smod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (exp > sizeof_to_bits(sizeof(Type)))
+ to = x;
+ else {
+ Type v = (exp == sizeof_to_bits(sizeof(Type)) ? x : (x & ((Type(1) << exp) - 1)));
+ if (v >= (Type(1) << (exp - 1)))
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ else
+ to = v;
+ }
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+smod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir) {
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ to = x;
+ else {
+ Type m = Type(1) << (exp - 1);
+ to = (x & (m - 1)) - (x & m);
+ }
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+umod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir) {
+ if (exp >= sizeof_to_bits(sizeof(Type)))
+ to = x;
+ else
+ to = x & ((Type(1) << exp) - 1);
+ return V_EQ;
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+umod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
+ Rounding_Dir dir) {
+ if (exp >= sizeof_to_bits(sizeof(Type))) {
+ if (x < 0)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ to = x;
+ }
+ else
+ to = x & ((Type(1) << exp) - 1);
+ return V_EQ;
+}
+
+template <typename Type>
+inline void
+isqrt_rem(Type& q, Type& r, const Type from) {
+ q = 0;
+ r = from;
+ Type t(1);
+ for (t <<= sizeof_to_bits(sizeof(Type)) - 2; t != 0; t >>= 2) {
+ Type s = q + t;
+ if (s <= r) {
+ r -= s;
+ q = s + t;
+ }
+ q >>= 1;
+ }
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+sqrt_unsigned_int(Type& to, const Type from, Rounding_Dir dir) {
+ Type rem;
+ isqrt_rem(to, rem, from);
+ if (round_not_requested(dir))
+ return V_GE;
+ if (rem == 0)
+ return V_EQ;
+ return round_gt_int<To_Policy>(to, dir);
+}
+
+template <typename To_Policy, typename From_Policy, typename Type>
+inline Result
+sqrt_signed_int(Type& to, const Type from, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_sqrt_neg, from < 0)) {
+ return assign_nan<To_Policy>(to, V_SQRT_NEG);
+ }
+ return sqrt_unsigned_int<To_Policy, From_Policy>(to, from, dir);
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+add_mul_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ Type z;
+ Result r = mul<To_Policy, From1_Policy, From2_Policy>(z, x, y, dir);
+ switch (result_overflow(r)) {
+ case 0:
+ return add<To_Policy, To_Policy, To_Policy>(to, to, z, dir);
+ case -1:
+ if (to <= 0)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ return assign_nan<To_Policy>(to, V_UNKNOWN_NEG_OVERFLOW);
+ case 1:
+ if (to >= 0)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ return assign_nan<To_Policy>(to, V_UNKNOWN_POS_OVERFLOW);
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN;
+ }
+}
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy,
+ typename Type>
+inline Result
+sub_mul_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
+ Type z;
+ Result r = mul<To_Policy, From1_Policy, From2_Policy>(z, x, y, dir);
+ switch (result_overflow(r)) {
+ case 0:
+ return sub<To_Policy, To_Policy, To_Policy>(to, to, z, dir);
+ case -1:
+ if (to >= 0)
+ return set_pos_overflow_int<To_Policy>(to, dir);
+ return assign_nan<To_Policy>(to, V_UNKNOWN_NEG_OVERFLOW);
+ case 1:
+ if (to <= 0)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ return assign_nan<To_Policy>(to, V_UNKNOWN_POS_OVERFLOW);
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN;
+ }
+}
+
+template <typename Policy, typename Type>
+inline Result
+output_char(std::ostream& os, Type& from,
+ const Numeric_Format&, Rounding_Dir) {
+ os << int(from);
+ return V_EQ;
+}
+
+template <typename Policy, typename Type>
+inline Result
+output_int(std::ostream& os, Type& from, const Numeric_Format&, Rounding_Dir) {
+ os << from;
+ return V_EQ;
+}
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed char, signed char)
+PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed short, signed short)
+PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed int, signed int)
+PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed long, signed long)
+PPL_SPECIALIZE_FLOOR(assign_signed_int_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_FLOOR(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed char, signed char)
+PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed short, signed short)
+PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed int, signed int)
+PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed long, signed long)
+PPL_SPECIALIZE_CEIL(assign_signed_int_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_CEIL(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed char, signed char)
+PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed short, signed short)
+PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed int, signed int)
+PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed long, signed long)
+PPL_SPECIALIZE_TRUNC(assign_signed_int_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_TRUNC(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_NEG(neg_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_NEG(neg_signed_int, signed char, signed char)
+PPL_SPECIALIZE_NEG(neg_signed_int, signed short, signed short)
+PPL_SPECIALIZE_NEG(neg_signed_int, signed int, signed int)
+PPL_SPECIALIZE_NEG(neg_signed_int, signed long, signed long)
+PPL_SPECIALIZE_NEG(neg_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_NEG(neg_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_NEG(neg_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ADD(add_signed_int, char, char, char)
+#endif
+PPL_SPECIALIZE_ADD(add_signed_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_ADD(add_signed_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_ADD(add_signed_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_ADD(add_signed_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_ADD(add_signed_int, signed long long, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ADD(add_unsigned_int, char, char, char)
+#endif
+PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_ADD(add_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SUB(sub_signed_int, char, char, char)
+#endif
+PPL_SPECIALIZE_SUB(sub_signed_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_SUB(sub_signed_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_SUB(sub_signed_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_SUB(sub_signed_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_SUB(sub_signed_int, signed long long, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SUB(sub_unsigned_int, char, char, char)
+#endif
+PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_SUB(sub_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_MUL(mul_signed_int, char, char, char)
+#endif
+PPL_SPECIALIZE_MUL(mul_signed_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_MUL(mul_signed_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_MUL(mul_signed_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_MUL(mul_signed_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_MUL(mul_signed_int, signed long long, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_MUL(mul_unsigned_int, char, char, char)
+#endif
+PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_MUL(mul_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_DIV(div_signed_int, char, char, char)
+#endif
+PPL_SPECIALIZE_DIV(div_signed_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_DIV(div_signed_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_DIV(div_signed_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_DIV(div_signed_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_DIV(div_signed_int, signed long long, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_DIV(div_unsigned_int, char, char, char)
+#endif
+PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_DIV(div_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_IDIV(idiv_signed_int, char, char, char)
+#endif
+PPL_SPECIALIZE_IDIV(idiv_signed_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_IDIV(idiv_signed_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_IDIV(idiv_signed_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_IDIV(idiv_signed_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_IDIV(idiv_signed_int, signed long long, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_IDIV(idiv_unsigned_int, char, char, char)
+#endif
+PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_IDIV(idiv_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_REM(rem_signed_int, char, char, char)
+#endif
+PPL_SPECIALIZE_REM(rem_signed_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_REM(rem_signed_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_REM(rem_signed_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_REM(rem_signed_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_REM(rem_signed_int, signed long long, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_REM(rem_unsigned_int, char, char, char)
+#endif
+PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_REM(rem_unsigned_int, unsigned long long, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed char, signed char)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed short, signed short)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed int, signed int)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed long, signed long)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed char, signed char)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed short, signed short)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed int, signed int)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed long, signed long)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed char, signed char)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed short, signed short)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed int, signed int)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed long, signed long)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed char, signed char)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed short, signed short)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed int, signed int)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed long, signed long)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed char, signed char)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed short, signed short)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed int, signed int)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed long, signed long)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed char, signed char)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed short, signed short)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed int, signed int)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed long, signed long)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SQRT(sqrt_signed_int, char, char)
+#endif
+PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed char, signed char)
+PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed short, signed short)
+PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed int, signed int)
+PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed long, signed long)
+PPL_SPECIALIZE_SQRT(sqrt_signed_int, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_SQRT(sqrt_unsigned_int, unsigned long long, unsigned long long)
+
+#if PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ABS(abs_generic, char, char)
+#endif
+PPL_SPECIALIZE_ABS(abs_generic, signed char, signed char)
+PPL_SPECIALIZE_ABS(abs_generic, signed short, signed short)
+PPL_SPECIALIZE_ABS(abs_generic, signed int, signed int)
+PPL_SPECIALIZE_ABS(abs_generic, signed long, signed long)
+PPL_SPECIALIZE_ABS(abs_generic, signed long long, signed long long)
+#if !PPL_CXX_PLAIN_CHAR_IS_SIGNED
+PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, char, char)
+#endif
+PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned char, unsigned char)
+PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned short, unsigned short)
+PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned int, unsigned int)
+PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned long, unsigned long)
+PPL_SPECIALIZE_ABS(assign_unsigned_int_unsigned_int, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_GCD(gcd_exact, char, char, char)
+PPL_SPECIALIZE_GCD(gcd_exact, signed char, signed char, signed char)
+PPL_SPECIALIZE_GCD(gcd_exact, signed short, signed short, signed short)
+PPL_SPECIALIZE_GCD(gcd_exact, signed int, signed int, signed int)
+PPL_SPECIALIZE_GCD(gcd_exact, signed long, signed long, signed long)
+PPL_SPECIALIZE_GCD(gcd_exact, signed long long, signed long long, signed long long)
+PPL_SPECIALIZE_GCD(gcd_exact, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_GCD(gcd_exact, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_GCD(gcd_exact, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_GCD(gcd_exact, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_GCD(gcd_exact, unsigned long long, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, char, char, char, char, char)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed char, signed char, signed char, signed char, signed char)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed short, signed short, signed short, signed short, signed short)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed int, signed int, signed int, signed int, signed int)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed long, signed long, signed long, signed long, signed long)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, signed long long, signed long long, signed long long, signed long long, signed long long)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned char, unsigned char, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned short, unsigned short, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned int, unsigned int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned long, unsigned long, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_GCDEXT(gcdext_exact, unsigned long long, unsigned long long, unsigned long long, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, char, char, char)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed char, signed char, signed char)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed short, signed short, signed short)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed int, signed int, signed int)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed long, signed long, signed long)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, signed long long, signed long long, signed long long)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_LCM(lcm_gcd_exact, unsigned long long, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_SGN(sgn_generic, char)
+PPL_SPECIALIZE_SGN(sgn_generic, signed char)
+PPL_SPECIALIZE_SGN(sgn_generic, signed short)
+PPL_SPECIALIZE_SGN(sgn_generic, signed int)
+PPL_SPECIALIZE_SGN(sgn_generic, signed long)
+PPL_SPECIALIZE_SGN(sgn_generic, signed long long)
+PPL_SPECIALIZE_SGN(sgn_generic, unsigned char)
+PPL_SPECIALIZE_SGN(sgn_generic, unsigned short)
+PPL_SPECIALIZE_SGN(sgn_generic, unsigned int)
+PPL_SPECIALIZE_SGN(sgn_generic, unsigned long)
+PPL_SPECIALIZE_SGN(sgn_generic, unsigned long long)
+
+PPL_SPECIALIZE_CMP(cmp_generic, char, char)
+PPL_SPECIALIZE_CMP(cmp_generic, signed char, signed char)
+PPL_SPECIALIZE_CMP(cmp_generic, signed short, signed short)
+PPL_SPECIALIZE_CMP(cmp_generic, signed int, signed int)
+PPL_SPECIALIZE_CMP(cmp_generic, signed long, signed long)
+PPL_SPECIALIZE_CMP(cmp_generic, signed long long, signed long long)
+PPL_SPECIALIZE_CMP(cmp_generic, unsigned char, unsigned char)
+PPL_SPECIALIZE_CMP(cmp_generic, unsigned short, unsigned short)
+PPL_SPECIALIZE_CMP(cmp_generic, unsigned int, unsigned int)
+PPL_SPECIALIZE_CMP(cmp_generic, unsigned long, unsigned long)
+PPL_SPECIALIZE_CMP(cmp_generic, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, char, char, char)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, signed long long, signed long long, signed long long)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_ADD_MUL(add_mul_int, unsigned long long, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, char, char, char)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed char, signed char, signed char)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed short, signed short, signed short)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed int, signed int, signed int)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed long, signed long, signed long)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, signed long long, signed long long, signed long long)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned char, unsigned char, unsigned char)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned short, unsigned short, unsigned short)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned int, unsigned int, unsigned int)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned long, unsigned long, unsigned long)
+PPL_SPECIALIZE_SUB_MUL(sub_mul_int, unsigned long long, unsigned long long, unsigned long long)
+
+PPL_SPECIALIZE_INPUT(input_generic, char)
+PPL_SPECIALIZE_INPUT(input_generic, signed char)
+PPL_SPECIALIZE_INPUT(input_generic, signed short)
+PPL_SPECIALIZE_INPUT(input_generic, signed int)
+PPL_SPECIALIZE_INPUT(input_generic, signed long)
+PPL_SPECIALIZE_INPUT(input_generic, signed long long)
+PPL_SPECIALIZE_INPUT(input_generic, unsigned char)
+PPL_SPECIALIZE_INPUT(input_generic, unsigned short)
+PPL_SPECIALIZE_INPUT(input_generic, unsigned int)
+PPL_SPECIALIZE_INPUT(input_generic, unsigned long)
+PPL_SPECIALIZE_INPUT(input_generic, unsigned long long)
+
+PPL_SPECIALIZE_OUTPUT(output_char, char)
+PPL_SPECIALIZE_OUTPUT(output_char, signed char)
+PPL_SPECIALIZE_OUTPUT(output_int, signed short)
+PPL_SPECIALIZE_OUTPUT(output_int, signed int)
+PPL_SPECIALIZE_OUTPUT(output_int, signed long)
+PPL_SPECIALIZE_OUTPUT(output_int, signed long long)
+PPL_SPECIALIZE_OUTPUT(output_char, unsigned char)
+PPL_SPECIALIZE_OUTPUT(output_int, unsigned short)
+PPL_SPECIALIZE_OUTPUT(output_int, unsigned int)
+PPL_SPECIALIZE_OUTPUT(output_int, unsigned long)
+PPL_SPECIALIZE_OUTPUT(output_int, unsigned long long)
+
+} // namespace Checked
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_checked_int_inlines_hh)
diff --git a/src/checked_mpq.inlines.hh b/src/checked_mpq.inlines.hh
deleted file mode 100644
index 43261dc..0000000
--- a/src/checked_mpq.inlines.hh
+++ /dev/null
@@ -1,542 +0,0 @@
-/* Specialized "checked" functions for GMP's mpq_class numbers.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_mpq_inlines_hh
-#define PPL_checked_mpq_inlines_hh 1
-
-#include <sstream>
-#include <climits>
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Checked {
-
-template <typename Policy>
-inline Result
-classify_mpq(const mpq_class& v, bool nan, bool inf, bool sign) {
- if ((Policy::has_nan || Policy::has_infinity)
- && ::sgn(v.get_den()) == 0) {
- int s = ::sgn(v.get_num());
- if (Policy::has_nan && (nan || sign) && s == 0)
- return V_NAN;
- if (!inf && !sign)
- return V_LGE;
- if (Policy::has_infinity) {
- if (s < 0)
- return inf ? V_EQ_MINUS_INFINITY : V_LT;
- if (s > 0)
- return inf ? V_EQ_PLUS_INFINITY : V_GT;
- }
- }
- if (sign)
- return static_cast<Result>(sgn<Policy>(v));
- return V_LGE;
-}
-
-PPL_SPECIALIZE_CLASSIFY(classify_mpq, mpq_class)
-
-template <typename Policy>
-inline bool
-is_nan_mpq(const mpq_class& v) {
- return Policy::has_nan
- && ::sgn(v.get_den()) == 0
- && ::sgn(v.get_num()) == 0;
-}
-
-PPL_SPECIALIZE_IS_NAN(is_nan_mpq, mpq_class)
-
-template <typename Policy>
-inline bool
-is_minf_mpq(const mpq_class& v) {
- return Policy::has_infinity
- && ::sgn(v.get_den()) == 0
- && ::sgn(v.get_num()) < 0;
-}
-
-PPL_SPECIALIZE_IS_MINF(is_minf_mpq, mpq_class)
-
-template <typename Policy>
-inline bool
-is_pinf_mpq(const mpq_class& v) {
- return Policy::has_infinity
- && ::sgn(v.get_den()) == 0
- && ::sgn(v.get_num()) > 0;
-}
-
-PPL_SPECIALIZE_IS_PINF(is_pinf_mpq, mpq_class)
-
-template <typename Policy>
-inline bool
-is_int_mpq(const mpq_class& v) {
- if ((Policy::has_infinity || Policy::has_nan)
- && ::sgn(v.get_den()) == 0)
- return !(Policy::has_nan && ::sgn(v.get_num()) == 0);
- else
- return v.get_den() == 1;
-}
-
-PPL_SPECIALIZE_IS_INT(is_int_mpq, mpq_class)
-
-template <typename Policy>
-inline Result
-assign_special_mpq(mpq_class& v, Result_Class c, Rounding_Dir) {
- switch (c) {
- case VC_NAN:
- if (Policy::has_nan) {
- v.get_num() = 0;
- v.get_den() = 0;
- return V_NAN | V_UNREPRESENTABLE;
- }
- return V_NAN;
- case VC_MINUS_INFINITY:
- if (Policy::has_infinity) {
- v.get_num() = -1;
- v.get_den() = 0;
- return V_EQ_MINUS_INFINITY;
- }
- return V_EQ_MINUS_INFINITY | V_UNREPRESENTABLE;
- case VC_PLUS_INFINITY:
- if (Policy::has_infinity) {
- v.get_num() = 1;
- v.get_den() = 0;
- return V_EQ_PLUS_INFINITY;
- }
- return V_EQ_PLUS_INFINITY | V_UNREPRESENTABLE;
- default:
- PPL_UNREACHABLE;
- return V_NAN | V_UNREPRESENTABLE;
- }
-}
-
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_mpq, mpq_class)
-
-PPL_SPECIALIZE_COPY(copy_generic, mpq_class)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-construct_mpq_base(mpq_class& to, const From& from, Rounding_Dir) {
- new (&to) mpq_class(from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, mpz_class)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, char)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed char)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed short)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed int)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed long)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned char)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned short)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned int)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-construct_mpq_float(mpq_class& to, const From& from, Rounding_Dir dir) {
- if (is_nan<From_Policy>(from))
- return construct_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(from))
- return construct_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(from))
- return construct_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- new (&to) mpq_class(from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_float, mpq_class, float)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpq_float, mpq_class, double)
-
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, mpq_class)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, char)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed char)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed short)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed int)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed long)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned char)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned short)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned int)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpq_float(mpq_class& to, const From& from, Rounding_Dir dir) {
- if (is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- assign_mpq_numeric_float(to, from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpq_float, mpq_class, float)
-PPL_SPECIALIZE_ASSIGN(assign_mpq_float, mpq_class, double)
-PPL_SPECIALIZE_ASSIGN(assign_mpq_float, mpq_class, long double)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpq_signed_int(mpq_class& to, const From from, Rounding_Dir) {
- if (sizeof(From) <= sizeof(signed long))
- to = static_cast<signed long>(from);
- else {
- mpz_ptr m = to.get_num().get_mpz_t();
- if (from >= 0)
- mpz_import(m, 1, 1, sizeof(From), 0, 0, &from);
- else {
- From n = -from;
- mpz_import(m, 1, 1, sizeof(From), 0, 0, &n);
- mpz_neg(m, m);
- }
- to.get_den() = 1;
- }
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpq_signed_int, mpq_class, signed long long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpq_unsigned_int(mpq_class& to, const From from, Rounding_Dir) {
- if (sizeof(From) <= sizeof(unsigned long))
- to = static_cast<unsigned long>(from);
- else {
- mpz_import(to.get_num().get_mpz_t(), 1, 1, sizeof(From), 0, 0, &from);
- to.get_den() = 1;
- }
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpq_unsigned_int, mpq_class, unsigned long long)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-floor_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
- mpz_fdiv_q(to.get_num().get_mpz_t(),
- from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
- to.get_den() = 1;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_FLOOR(floor_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-ceil_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
- mpz_cdiv_q(to.get_num().get_mpz_t(),
- from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
- to.get_den() = 1;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_CEIL(ceil_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-trunc_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
- mpz_tdiv_q(to.get_num().get_mpz_t(),
- from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
- to.get_den() = 1;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_TRUNC(trunc_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-neg_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
- mpq_neg(to.get_mpq_t(), from.get_mpq_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_NEG(neg_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-add_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
- to = x + y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ADD(add_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-sub_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
- to = x - y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SUB(sub_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
- to = x * y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_MUL(mul_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-div_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, sgn(y) == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- to = x / y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_DIV(div_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-idiv_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_div_zero, sgn(y) == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- to = x / y;
- return trunc<To_Policy, To_Policy>(to, to, dir);
-}
-
-PPL_SPECIALIZE_IDIV(idiv_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-rem_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, sgn(y) == 0)) {
- return assign_nan<To_Policy>(to, V_MOD_ZERO);
- }
- PPL_DIRTY_TEMP(mpq_class, tmp);
- tmp = x / y;
- tmp.get_num() %= tmp.get_den();
- to = tmp * y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_REM(rem_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-add_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
- PPL_DIRTY_TEMP(mpz_class, v);
- v = 1;
- mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
- to = x + v;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-sub_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
- PPL_DIRTY_TEMP(mpz_class, v);
- v = 1;
- mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
- to = x - v;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-mul_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
- mpz_mul_2exp(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), exp);
- to.get_den() = x.get_den();
- to.canonicalize();
- return V_EQ;
-}
-
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-div_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
- to.get_num() = x.get_num();
- mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
- to.canonicalize();
- return V_EQ;
-}
-
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-smod_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
- mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
- mpz_fdiv_r(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), to.get_den().get_mpz_t());
- mpz_fdiv_q_2exp(to.get_den().get_mpz_t(), to.get_den().get_mpz_t(), 1);
- bool neg = to.get_num() >= to.get_den();
- mpz_mul_2exp(to.get_den().get_mpz_t(), to.get_den().get_mpz_t(), 1);
- if (neg)
- to.get_num() -= to.get_den();
- mpz_mul_2exp(to.get_num().get_mpz_t(), to.get_num().get_mpz_t(), exp);
- to.canonicalize();
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-umod_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
- mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
- mpz_fdiv_r(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), to.get_den().get_mpz_t());
- mpz_mul_2exp(to.get_num().get_mpz_t(), to.get_num().get_mpz_t(), exp);
- to.canonicalize();
- return V_EQ;
-}
-
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-abs_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
- to = abs(from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ABS(abs_mpq, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-add_mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y,
- Rounding_Dir) {
- to += x * y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ADD_MUL(add_mul_mpq, mpq_class, mpq_class, mpq_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-sub_mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y,
- Rounding_Dir) {
- to -= x * y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SUB_MUL(sub_mul_mpq, mpq_class, mpq_class, mpq_class)
-
-extern unsigned irrational_precision;
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-sqrt_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_sqrt_neg, from < 0)) {
- return assign_nan<To_Policy>(to, V_SQRT_NEG);
- }
- if (from == 0) {
- to = 0;
- return V_EQ;
- }
- bool gt1 = from.get_num() > from.get_den();
- const mpz_class& from_a = gt1 ? from.get_num() : from.get_den();
- const mpz_class& from_b = gt1 ? from.get_den() : from.get_num();
- mpz_class& to_a = gt1 ? to.get_num() : to.get_den();
- mpz_class& to_b = gt1 ? to.get_den() : to.get_num();
- Rounding_Dir rdir = gt1 ? dir : inverse(dir);
- mul_2exp<To_Policy, From_Policy>(to_a, from_a,
- 2*irrational_precision, ROUND_IGNORE);
- Result r_div
- = div<To_Policy, To_Policy, To_Policy>(to_a, to_a, from_b, rdir);
- Result r_sqrt = sqrt<To_Policy, To_Policy>(to_a, to_a, rdir);
- to_b = 1;
- mul_2exp<To_Policy, To_Policy>(to_b, to_b,
- irrational_precision, ROUND_IGNORE);
- to.canonicalize();
- return (r_div != V_EQ) ? r_div : r_sqrt;
-}
-
-PPL_SPECIALIZE_SQRT(sqrt_mpq, mpq_class, mpq_class)
-
-template <typename Policy>
-inline Result
-input_mpq(mpq_class& to, std::istream& is, Rounding_Dir dir) {
- Result r = input_mpq(to, is);
- Result_Class c = result_class(r);
- switch (c) {
- case VC_MINUS_INFINITY:
- case VC_PLUS_INFINITY:
- return assign_special<Policy>(to, c, dir);
- case VC_NAN:
- return assign_nan<Policy>(to, r);
- default:
- return r;
- }
-}
-
-PPL_SPECIALIZE_INPUT(input_mpq, mpq_class)
-
-template <typename Policy>
-inline Result
-output_mpq(std::ostream& os,
- const mpq_class& from,
- const Numeric_Format&,
- Rounding_Dir) {
- os << from;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_OUTPUT(output_mpq, mpq_class)
-
-} // namespace Checked
-
-//! Returns the precision parameter used for irrational calculations.
-inline unsigned
-irrational_precision() {
- return Checked::irrational_precision;
-}
-
-//! Sets the precision parameter used for irrational calculations.
-/*! The lesser between numerator and denominator is limited to 2**\p p.
-
- If \p p is less than or equal to <CODE>INT_MAX</CODE>, sets the
- precision parameter used for irrational calculations to \p p.
-
- \exception std::invalid_argument
- Thrown if \p p is greater than <CODE>INT_MAX</CODE>.
-*/
-inline void
-set_irrational_precision(const unsigned p) {
- if (p <= INT_MAX)
- Checked::irrational_precision = p;
- else
- throw std::invalid_argument("PPL::set_irrational_precision(p)"
- " with p > INT_MAX");
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_checked_mpq_inlines_hh)
diff --git a/src/checked_mpq_inlines.hh b/src/checked_mpq_inlines.hh
new file mode 100644
index 0000000..fe8d3b4
--- /dev/null
+++ b/src/checked_mpq_inlines.hh
@@ -0,0 +1,542 @@
+/* Specialized "checked" functions for GMP's mpq_class numbers.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_mpq_inlines_hh
+#define PPL_checked_mpq_inlines_hh 1
+
+#include <sstream>
+#include <climits>
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Checked {
+
+template <typename Policy>
+inline Result
+classify_mpq(const mpq_class& v, bool nan, bool inf, bool sign) {
+ if ((Policy::has_nan || Policy::has_infinity)
+ && ::sgn(v.get_den()) == 0) {
+ int s = ::sgn(v.get_num());
+ if (Policy::has_nan && (nan || sign) && s == 0)
+ return V_NAN;
+ if (!inf && !sign)
+ return V_LGE;
+ if (Policy::has_infinity) {
+ if (s < 0)
+ return inf ? V_EQ_MINUS_INFINITY : V_LT;
+ if (s > 0)
+ return inf ? V_EQ_PLUS_INFINITY : V_GT;
+ }
+ }
+ if (sign)
+ return static_cast<Result>(sgn<Policy>(v));
+ return V_LGE;
+}
+
+PPL_SPECIALIZE_CLASSIFY(classify_mpq, mpq_class)
+
+template <typename Policy>
+inline bool
+is_nan_mpq(const mpq_class& v) {
+ return Policy::has_nan
+ && ::sgn(v.get_den()) == 0
+ && ::sgn(v.get_num()) == 0;
+}
+
+PPL_SPECIALIZE_IS_NAN(is_nan_mpq, mpq_class)
+
+template <typename Policy>
+inline bool
+is_minf_mpq(const mpq_class& v) {
+ return Policy::has_infinity
+ && ::sgn(v.get_den()) == 0
+ && ::sgn(v.get_num()) < 0;
+}
+
+PPL_SPECIALIZE_IS_MINF(is_minf_mpq, mpq_class)
+
+template <typename Policy>
+inline bool
+is_pinf_mpq(const mpq_class& v) {
+ return Policy::has_infinity
+ && ::sgn(v.get_den()) == 0
+ && ::sgn(v.get_num()) > 0;
+}
+
+PPL_SPECIALIZE_IS_PINF(is_pinf_mpq, mpq_class)
+
+template <typename Policy>
+inline bool
+is_int_mpq(const mpq_class& v) {
+ if ((Policy::has_infinity || Policy::has_nan)
+ && ::sgn(v.get_den()) == 0)
+ return !(Policy::has_nan && ::sgn(v.get_num()) == 0);
+ else
+ return v.get_den() == 1;
+}
+
+PPL_SPECIALIZE_IS_INT(is_int_mpq, mpq_class)
+
+template <typename Policy>
+inline Result
+assign_special_mpq(mpq_class& v, Result_Class c, Rounding_Dir) {
+ switch (c) {
+ case VC_NAN:
+ if (Policy::has_nan) {
+ v.get_num() = 0;
+ v.get_den() = 0;
+ return V_NAN | V_UNREPRESENTABLE;
+ }
+ return V_NAN;
+ case VC_MINUS_INFINITY:
+ if (Policy::has_infinity) {
+ v.get_num() = -1;
+ v.get_den() = 0;
+ return V_EQ_MINUS_INFINITY;
+ }
+ return V_EQ_MINUS_INFINITY | V_UNREPRESENTABLE;
+ case VC_PLUS_INFINITY:
+ if (Policy::has_infinity) {
+ v.get_num() = 1;
+ v.get_den() = 0;
+ return V_EQ_PLUS_INFINITY;
+ }
+ return V_EQ_PLUS_INFINITY | V_UNREPRESENTABLE;
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN | V_UNREPRESENTABLE;
+ }
+}
+
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_mpq, mpq_class)
+
+PPL_SPECIALIZE_COPY(copy_generic, mpq_class)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+construct_mpq_base(mpq_class& to, const From& from, Rounding_Dir) {
+ new (&to) mpq_class(from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, mpz_class)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, char)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed char)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed short)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed int)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, signed long)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned char)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned short)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned int)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_base, mpq_class, unsigned long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+construct_mpq_float(mpq_class& to, const From& from, Rounding_Dir dir) {
+ if (is_nan<From_Policy>(from))
+ return construct_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(from))
+ return construct_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(from))
+ return construct_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ new (&to) mpq_class(from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_float, mpq_class, float)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpq_float, mpq_class, double)
+
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, mpq_class)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, char)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed char)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed short)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed int)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, signed long)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned char)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned short)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned int)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpq_class, unsigned long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpq_float(mpq_class& to, const From& from, Rounding_Dir dir) {
+ if (is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ assign_mpq_numeric_float(to, from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpq_float, mpq_class, float)
+PPL_SPECIALIZE_ASSIGN(assign_mpq_float, mpq_class, double)
+PPL_SPECIALIZE_ASSIGN(assign_mpq_float, mpq_class, long double)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpq_signed_int(mpq_class& to, const From from, Rounding_Dir) {
+ if (sizeof(From) <= sizeof(signed long))
+ to = static_cast<signed long>(from);
+ else {
+ mpz_ptr m = to.get_num().get_mpz_t();
+ if (from >= 0)
+ mpz_import(m, 1, 1, sizeof(From), 0, 0, &from);
+ else {
+ From n = -from;
+ mpz_import(m, 1, 1, sizeof(From), 0, 0, &n);
+ mpz_neg(m, m);
+ }
+ to.get_den() = 1;
+ }
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpq_signed_int, mpq_class, signed long long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpq_unsigned_int(mpq_class& to, const From from, Rounding_Dir) {
+ if (sizeof(From) <= sizeof(unsigned long))
+ to = static_cast<unsigned long>(from);
+ else {
+ mpz_import(to.get_num().get_mpz_t(), 1, 1, sizeof(From), 0, 0, &from);
+ to.get_den() = 1;
+ }
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpq_unsigned_int, mpq_class, unsigned long long)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+floor_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
+ mpz_fdiv_q(to.get_num().get_mpz_t(),
+ from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
+ to.get_den() = 1;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_FLOOR(floor_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+ceil_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
+ mpz_cdiv_q(to.get_num().get_mpz_t(),
+ from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
+ to.get_den() = 1;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_CEIL(ceil_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+trunc_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
+ mpz_tdiv_q(to.get_num().get_mpz_t(),
+ from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
+ to.get_den() = 1;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_TRUNC(trunc_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+neg_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
+ mpq_neg(to.get_mpq_t(), from.get_mpq_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_NEG(neg_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+add_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
+ to = x + y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ADD(add_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+sub_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
+ to = x - y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SUB(sub_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
+ to = x * y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_MUL(mul_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+div_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, sgn(y) == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ to = x / y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_DIV(div_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+idiv_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_div_zero, sgn(y) == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ to = x / y;
+ return trunc<To_Policy, To_Policy>(to, to, dir);
+}
+
+PPL_SPECIALIZE_IDIV(idiv_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+rem_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y, Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, sgn(y) == 0)) {
+ return assign_nan<To_Policy>(to, V_MOD_ZERO);
+ }
+ PPL_DIRTY_TEMP(mpq_class, tmp);
+ tmp = x / y;
+ tmp.get_num() %= tmp.get_den();
+ to = tmp * y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_REM(rem_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+add_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
+ Rounding_Dir) {
+ PPL_DIRTY_TEMP(mpz_class, v);
+ v = 1;
+ mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
+ to = x + v;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+sub_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
+ Rounding_Dir) {
+ PPL_DIRTY_TEMP(mpz_class, v);
+ v = 1;
+ mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
+ to = x - v;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+mul_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
+ Rounding_Dir) {
+ mpz_mul_2exp(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), exp);
+ to.get_den() = x.get_den();
+ to.canonicalize();
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+div_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
+ Rounding_Dir) {
+ to.get_num() = x.get_num();
+ mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
+ to.canonicalize();
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+smod_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
+ Rounding_Dir) {
+ mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
+ mpz_fdiv_r(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), to.get_den().get_mpz_t());
+ mpz_fdiv_q_2exp(to.get_den().get_mpz_t(), to.get_den().get_mpz_t(), 1);
+ bool neg = to.get_num() >= to.get_den();
+ mpz_mul_2exp(to.get_den().get_mpz_t(), to.get_den().get_mpz_t(), 1);
+ if (neg)
+ to.get_num() -= to.get_den();
+ mpz_mul_2exp(to.get_num().get_mpz_t(), to.get_num().get_mpz_t(), exp);
+ to.canonicalize();
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+umod_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
+ Rounding_Dir) {
+ mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
+ mpz_fdiv_r(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), to.get_den().get_mpz_t());
+ mpz_mul_2exp(to.get_num().get_mpz_t(), to.get_num().get_mpz_t(), exp);
+ to.canonicalize();
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+abs_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
+ to = abs(from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ABS(abs_mpq, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+add_mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y,
+ Rounding_Dir) {
+ to += x * y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ADD_MUL(add_mul_mpq, mpq_class, mpq_class, mpq_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+sub_mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y,
+ Rounding_Dir) {
+ to -= x * y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SUB_MUL(sub_mul_mpq, mpq_class, mpq_class, mpq_class)
+
+extern unsigned irrational_precision;
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+sqrt_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_sqrt_neg, from < 0)) {
+ return assign_nan<To_Policy>(to, V_SQRT_NEG);
+ }
+ if (from == 0) {
+ to = 0;
+ return V_EQ;
+ }
+ bool gt1 = from.get_num() > from.get_den();
+ const mpz_class& from_a = gt1 ? from.get_num() : from.get_den();
+ const mpz_class& from_b = gt1 ? from.get_den() : from.get_num();
+ mpz_class& to_a = gt1 ? to.get_num() : to.get_den();
+ mpz_class& to_b = gt1 ? to.get_den() : to.get_num();
+ Rounding_Dir rdir = gt1 ? dir : inverse(dir);
+ mul_2exp<To_Policy, From_Policy>(to_a, from_a,
+ 2*irrational_precision, ROUND_IGNORE);
+ Result r_div
+ = div<To_Policy, To_Policy, To_Policy>(to_a, to_a, from_b, rdir);
+ Result r_sqrt = sqrt<To_Policy, To_Policy>(to_a, to_a, rdir);
+ to_b = 1;
+ mul_2exp<To_Policy, To_Policy>(to_b, to_b,
+ irrational_precision, ROUND_IGNORE);
+ to.canonicalize();
+ return (r_div != V_EQ) ? r_div : r_sqrt;
+}
+
+PPL_SPECIALIZE_SQRT(sqrt_mpq, mpq_class, mpq_class)
+
+template <typename Policy>
+inline Result
+input_mpq(mpq_class& to, std::istream& is, Rounding_Dir dir) {
+ Result r = input_mpq(to, is);
+ Result_Class c = result_class(r);
+ switch (c) {
+ case VC_MINUS_INFINITY:
+ case VC_PLUS_INFINITY:
+ return assign_special<Policy>(to, c, dir);
+ case VC_NAN:
+ return assign_nan<Policy>(to, r);
+ default:
+ return r;
+ }
+}
+
+PPL_SPECIALIZE_INPUT(input_mpq, mpq_class)
+
+template <typename Policy>
+inline Result
+output_mpq(std::ostream& os,
+ const mpq_class& from,
+ const Numeric_Format&,
+ Rounding_Dir) {
+ os << from;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_OUTPUT(output_mpq, mpq_class)
+
+} // namespace Checked
+
+//! Returns the precision parameter used for irrational calculations.
+inline unsigned
+irrational_precision() {
+ return Checked::irrational_precision;
+}
+
+//! Sets the precision parameter used for irrational calculations.
+/*! The lesser between numerator and denominator is limited to 2**\p p.
+
+ If \p p is less than or equal to <CODE>INT_MAX</CODE>, sets the
+ precision parameter used for irrational calculations to \p p.
+
+ \exception std::invalid_argument
+ Thrown if \p p is greater than <CODE>INT_MAX</CODE>.
+*/
+inline void
+set_irrational_precision(const unsigned p) {
+ if (p <= INT_MAX)
+ Checked::irrational_precision = p;
+ else
+ throw std::invalid_argument("PPL::set_irrational_precision(p)"
+ " with p > INT_MAX");
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_checked_mpq_inlines_hh)
diff --git a/src/checked_mpz.inlines.hh b/src/checked_mpz.inlines.hh
deleted file mode 100644
index 9b795d4..0000000
--- a/src/checked_mpz.inlines.hh
+++ /dev/null
@@ -1,645 +0,0 @@
-/* Specialized "checked" functions for GMP's mpz_class numbers.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_checked_mpz_inlines_hh
-#define PPL_checked_mpz_inlines_hh 1
-
-#include <sstream>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Checked {
-
-template <typename Policy>
-inline Result
-round_lt_mpz(mpz_class& to, Rounding_Dir dir) {
- if (round_down(dir)) {
- --to;
- return V_GT;
- }
- return V_LT;
-}
-
-template <typename Policy>
-inline Result
-round_gt_mpz(mpz_class& to, Rounding_Dir dir) {
- if (round_up(dir)) {
- ++to;
- return V_LT;
- }
- return V_GT;
-}
-
-#ifdef PPL_HAVE_TYPEOF
-//! Type of the _mp_size field of GMP's __mpz_struct.
-typedef typeof(__mpz_struct()._mp_size) mp_size_field_t;
-#else
-//! This is assumed to be the type of the _mp_size field of GMP's __mpz_struct.
-typedef int mp_size_field_t;
-#endif
-
-inline mp_size_field_t
-get_mp_size(const mpz_class &v) {
- return v.get_mpz_t()->_mp_size;
-}
-
-inline void
-set_mp_size(mpz_class &v, mp_size_field_t size) {
- v.get_mpz_t()->_mp_size = size;
-}
-
-template <typename Policy>
-inline Result
-classify_mpz(const mpz_class& v, bool nan, bool inf, bool sign) {
- if (Policy::has_nan || Policy::has_infinity) {
- mp_size_field_t s = get_mp_size(v);
- if (Policy::has_nan
- && (nan || sign)
- && s == C_Integer<mp_size_field_t>::min + 1)
- return V_NAN;
- if (!inf && !sign)
- return V_LGE;
- if (Policy::has_infinity) {
- if (s == C_Integer<mp_size_field_t>::min)
- return inf ? V_EQ_MINUS_INFINITY : V_LT;
- if (s == C_Integer<mp_size_field_t>::max)
- return inf ? V_EQ_PLUS_INFINITY : V_GT;
- }
- }
- if (sign)
- return static_cast<Result>(sgn<Policy>(v));
- return V_LGE;
-}
-
-PPL_SPECIALIZE_CLASSIFY(classify_mpz, mpz_class)
-
-template <typename Policy>
-inline bool
-is_nan_mpz(const mpz_class& v) {
- return Policy::has_nan
- && get_mp_size(v) == C_Integer<mp_size_field_t>::min + 1;
-}
-
-PPL_SPECIALIZE_IS_NAN(is_nan_mpz, mpz_class)
-
-template <typename Policy>
-inline bool
-is_minf_mpz(const mpz_class& v) {
- return Policy::has_infinity
- && get_mp_size(v) == C_Integer<mp_size_field_t>::min;
-}
-
-PPL_SPECIALIZE_IS_MINF(is_minf_mpz, mpz_class)
-
-template <typename Policy>
-inline bool
-is_pinf_mpz(const mpz_class& v) {
- return Policy::has_infinity
- && get_mp_size(v) == C_Integer<mp_size_field_t>::max;
-}
-
-PPL_SPECIALIZE_IS_PINF(is_pinf_mpz, mpz_class)
-
-template <typename Policy>
-inline bool
-is_int_mpz(const mpz_class& v) {
- return !is_nan<Policy>(v);
-}
-
-PPL_SPECIALIZE_IS_INT(is_int_mpz, mpz_class)
-
-template <typename Policy>
-inline Result
-assign_special_mpz(mpz_class& v, Result_Class c, Rounding_Dir) {
- switch (c) {
- case VC_NAN:
- if (Policy::has_nan)
- set_mp_size(v, C_Integer<mp_size_field_t>::min + 1);
- return V_NAN;
- case VC_MINUS_INFINITY:
- if (Policy::has_infinity) {
- set_mp_size(v, C_Integer<mp_size_field_t>::min);
- return V_EQ_MINUS_INFINITY;
- }
- return V_EQ_MINUS_INFINITY | V_UNREPRESENTABLE;
- case VC_PLUS_INFINITY:
- if (Policy::has_infinity) {
- set_mp_size(v, C_Integer<mp_size_field_t>::max);
- return V_EQ_PLUS_INFINITY;
- }
- return V_EQ_PLUS_INFINITY | V_UNREPRESENTABLE;
- default:
- PPL_UNREACHABLE;
- return V_NAN;
- }
-}
-
-PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_mpz, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline void
-copy_mpz(mpz_class& to, const mpz_class& from) {
- if (is_nan_mpz<From_Policy>(from))
- PPL_ASSERT(To_Policy::has_nan);
- else if (is_minf_mpz<From_Policy>(from) || is_pinf_mpz<From_Policy>(from))
- PPL_ASSERT(To_Policy::has_infinity);
- else {
- to = from;
- return;
- }
- set_mp_size(to, get_mp_size(from));
-}
-
-PPL_SPECIALIZE_COPY(copy_mpz, mpz_class)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-construct_mpz_base(mpz_class& to, const From from, Rounding_Dir) {
- new (&to) mpz_class(from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, char)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed char)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed short)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed int)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed long)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned char)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned short)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned int)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-construct_mpz_float(mpz_class& to, const From& from, Rounding_Dir dir) {
- if (is_nan<From_Policy>(from))
- return construct_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(from))
- return construct_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(from))
- return construct_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- if (round_not_requested(dir)) {
- new (&to) mpz_class(from);
- return V_LGE;
- }
- From n = rint(from);
- new (&to) mpz_class(n);
- if (from == n)
- return V_EQ;
- if (from < 0)
- return round_lt_mpz<To_Policy>(to, dir);
- else
- return round_gt_mpz<To_Policy>(to, dir);
-}
-
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_float, mpz_class, float)
-PPL_SPECIALIZE_CONSTRUCT(construct_mpz_float, mpz_class, double)
-
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, mpz_class)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, char)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed char)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed short)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed int)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed long)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned char)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned short)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned int)
-PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpz_signed_int(mpz_class& to, const From from, Rounding_Dir) {
- if (sizeof(From) <= sizeof(signed long))
- to = static_cast<signed long>(from);
- else {
- mpz_ptr m = to.get_mpz_t();
- if (from >= 0)
- mpz_import(m, 1, 1, sizeof(From), 0, 0, &from);
- else {
- From n = -from;
- mpz_import(m, 1, 1, sizeof(From), 0, 0, &n);
- mpz_neg(m, m);
- }
- }
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpz_signed_int, mpz_class, signed long long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpz_unsigned_int(mpz_class& to, const From from, Rounding_Dir) {
- if (sizeof(From) <= sizeof(unsigned long))
- to = static_cast<unsigned long>(from);
- else
- mpz_import(to.get_mpz_t(), 1, 1, sizeof(From), 0, 0, &from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpz_unsigned_int, mpz_class, unsigned long long)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpz_float(mpz_class& to, const From from, Rounding_Dir dir) {
- if (is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- if (round_not_requested(dir)) {
- to = from;
- return V_LGE;
- }
- From i_from = rint(from);
- to = i_from;
- if (from == i_from)
- return V_EQ;
- if (round_direct(ROUND_UP))
- return round_lt_mpz<To_Policy>(to, dir);
- if (round_direct(ROUND_DOWN))
- return round_gt_mpz<To_Policy>(to, dir);
- if (from < i_from)
- return round_lt_mpz<To_Policy>(to, dir);
- if (from > i_from)
- return round_gt_mpz<To_Policy>(to, dir);
- PPL_UNREACHABLE;
- return V_NAN;
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpz_float, mpz_class, float)
-PPL_SPECIALIZE_ASSIGN(assign_mpz_float, mpz_class, double)
-
-template <typename To_Policy, typename From_Policy, typename From>
-inline Result
-assign_mpz_long_double(mpz_class& to, const From& from, Rounding_Dir dir) {
- if (is_nan<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
- else if (is_minf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
- else if (is_pinf<From_Policy>(from))
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
- // FIXME: this is an incredibly inefficient implementation!
- std::stringstream ss;
- output<From_Policy>(ss, from, Numeric_Format(), dir);
- PPL_DIRTY_TEMP(mpq_class, tmp);
-#ifndef NDEBUG
- Result r =
-#endif
- input_mpq(tmp, ss);
- PPL_ASSERT(r == V_EQ);
- return assign<To_Policy, From_Policy>(to, tmp, dir);
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpz_long_double, mpz_class, long double)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-assign_mpz_mpq(mpz_class& to, const mpq_class& from, Rounding_Dir dir) {
- if (round_not_needed(dir)) {
- to = from.get_num();
- return V_LGE;
- }
- if (round_ignore(dir)) {
- to = from;
- return V_LGE;
- }
- mpz_srcptr n = from.get_num().get_mpz_t();
- mpz_srcptr d = from.get_den().get_mpz_t();
- if (round_down(dir)) {
- mpz_fdiv_q(to.get_mpz_t(), n, d);
- if (round_strict_relation(dir))
- return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_GT;
- return V_GE;
- }
- else {
- PPL_ASSERT(round_up(dir));
- mpz_cdiv_q(to.get_mpz_t(), n, d);
- if (round_strict_relation(dir))
- return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_LT;
- return V_LE;
- }
-}
-
-PPL_SPECIALIZE_ASSIGN(assign_mpz_mpq, mpz_class, mpq_class)
-
-PPL_SPECIALIZE_FLOOR(assign_exact, mpz_class, mpz_class)
-PPL_SPECIALIZE_CEIL(assign_exact, mpz_class, mpz_class)
-PPL_SPECIALIZE_TRUNC(assign_exact, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-neg_mpz(mpz_class& to, const mpz_class& from, Rounding_Dir) {
- mpz_neg(to.get_mpz_t(), from.get_mpz_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_NEG(neg_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-add_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
- to = x + y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ADD(add_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-sub_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
- to = x - y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SUB(sub_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
- to = x * y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_MUL(mul_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-div_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- mpz_srcptr n = x.get_mpz_t();
- mpz_srcptr d = y.get_mpz_t();
- if (round_not_needed(dir)) {
- mpz_divexact(to.get_mpz_t(), n, d);
- return V_LGE;
- }
- if (round_ignore(dir)) {
- mpz_cdiv_q(to.get_mpz_t(), n, d);
- return V_LE;
- }
- if (round_down(dir)) {
- mpz_fdiv_q(to.get_mpz_t(), n, d);
- if (round_strict_relation(dir))
- return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_GT;
- return V_GE;
- }
- else {
- PPL_ASSERT(round_up(dir));
- mpz_cdiv_q(to.get_mpz_t(), n, d);
- if (round_strict_relation(dir))
- return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_LT;
- return V_LE;
- }
-}
-
-PPL_SPECIALIZE_DIV(div_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-idiv_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
- }
- mpz_srcptr n = x.get_mpz_t();
- mpz_srcptr d = y.get_mpz_t();
- mpz_tdiv_q(to.get_mpz_t(), n, d);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_IDIV(idiv_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-rem_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
- if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
- return assign_nan<To_Policy>(to, V_MOD_ZERO);
- }
- to = x % y;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_REM(rem_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-add_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
- PPL_DIRTY_TEMP(mpz_class, v);
- v = 1;
- mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
- to = x + v;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ADD_2EXP(add_2exp_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-sub_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
- PPL_DIRTY_TEMP(mpz_class, v);
- v = 1;
- mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
- to = x - v;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SUB_2EXP(sub_2exp_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-mul_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
- mpz_mul_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_MUL_2EXP(mul_2exp_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-div_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir dir) {
- mpz_srcptr n = x.get_mpz_t();
- if (round_not_requested(dir)) {
- mpz_tdiv_q_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
- return V_LGE;
- }
- if (round_down(dir)) {
- mpz_fdiv_q_2exp(to.get_mpz_t(), n, exp);
- if (round_strict_relation(dir))
- return (mpz_divisible_2exp_p(n, exp) != 0) ? V_EQ : V_GT;
- return V_GE;
- }
- else {
- PPL_ASSERT(round_up(dir));
- mpz_cdiv_q_2exp(to.get_mpz_t(), n, exp);
- if (round_strict_relation(dir))
- return (mpz_divisible_2exp_p(n, exp) != 0) ? V_EQ : V_LT;
- return V_LE;
- }
-}
-
-PPL_SPECIALIZE_DIV_2EXP(div_2exp_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-smod_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
- if (mpz_tstbit(x.get_mpz_t(), exp - 1) != 0)
- mpz_cdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
- else
- mpz_fdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-umod_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
- mpz_fdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-abs_mpz(mpz_class& to, const mpz_class& from, Rounding_Dir) {
- to = abs(from);
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ABS(abs_mpz, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-add_mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
- mpz_addmul(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_ADD_MUL(add_mul_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-sub_mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
- mpz_submul(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_SUB_MUL(sub_mul_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-gcd_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
- mpz_gcd(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_GCD(gcd_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-gcdext_mpz(mpz_class& to, mpz_class& s, mpz_class& t,
- const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
- mpz_gcdext(to.get_mpz_t(), s.get_mpz_t(), t.get_mpz_t(),
- x.get_mpz_t(), y.get_mpz_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_GCDEXT(gcdext_mpz, mpz_class, mpz_class, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From1_Policy, typename From2_Policy>
-inline Result
-lcm_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
- mpz_lcm(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
- return V_EQ;
-}
-
-PPL_SPECIALIZE_LCM(lcm_mpz, mpz_class, mpz_class, mpz_class)
-
-template <typename To_Policy, typename From_Policy>
-inline Result
-sqrt_mpz(mpz_class& to, const mpz_class& from, Rounding_Dir dir) {
- if (CHECK_P(To_Policy::check_sqrt_neg, from < 0)) {
- return assign_nan<To_Policy>(to, V_SQRT_NEG);
- }
- if (round_not_requested(dir)) {
- to = sqrt(from);
- return V_GE;
- }
- PPL_DIRTY_TEMP(mpz_class, r);
- mpz_sqrtrem(to.get_mpz_t(), r.get_mpz_t(), from.get_mpz_t());
- if (r == 0)
- return V_EQ;
- return round_gt_mpz<To_Policy>(to, dir);
-}
-
-PPL_SPECIALIZE_SQRT(sqrt_mpz, mpz_class, mpz_class)
-
-template <typename Policy, typename Type>
-inline Result_Relation
-sgn_mp(const Type& x) {
- int i = ::sgn(x);
- return (i > 0) ? VR_GT : ((i < 0) ? VR_LT : VR_EQ);
-}
-
-PPL_SPECIALIZE_SGN(sgn_mp, mpz_class)
-PPL_SPECIALIZE_SGN(sgn_mp, mpq_class)
-
-template <typename Policy1, typename Policy2, typename Type>
-inline Result_Relation
-cmp_mp(const Type& x, const Type& y) {
- int i = ::cmp(x, y);
- return (i > 0) ? VR_GT : ((i < 0) ? VR_LT : VR_EQ);
-}
-
-PPL_SPECIALIZE_CMP(cmp_mp, mpz_class, mpz_class)
-PPL_SPECIALIZE_CMP(cmp_mp, mpq_class, mpq_class)
-
-template <typename Policy>
-inline Result
-output_mpz(std::ostream& os, const mpz_class& from, const Numeric_Format&,
- Rounding_Dir) {
- os << from;
- return V_EQ;
-}
-
-PPL_SPECIALIZE_INPUT(input_generic, mpz_class)
-PPL_SPECIALIZE_OUTPUT(output_mpz, mpz_class)
-
-} // namespace Checked
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_checked_mpz_inlines_hh)
diff --git a/src/checked_mpz_inlines.hh b/src/checked_mpz_inlines.hh
new file mode 100644
index 0000000..4147994
--- /dev/null
+++ b/src/checked_mpz_inlines.hh
@@ -0,0 +1,645 @@
+/* Specialized "checked" functions for GMP's mpz_class numbers.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_checked_mpz_inlines_hh
+#define PPL_checked_mpz_inlines_hh 1
+
+#include <sstream>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Checked {
+
+template <typename Policy>
+inline Result
+round_lt_mpz(mpz_class& to, Rounding_Dir dir) {
+ if (round_down(dir)) {
+ --to;
+ return V_GT;
+ }
+ return V_LT;
+}
+
+template <typename Policy>
+inline Result
+round_gt_mpz(mpz_class& to, Rounding_Dir dir) {
+ if (round_up(dir)) {
+ ++to;
+ return V_LT;
+ }
+ return V_GT;
+}
+
+#ifdef PPL_HAVE_TYPEOF
+//! Type of the _mp_size field of GMP's __mpz_struct.
+typedef typeof(__mpz_struct()._mp_size) mp_size_field_t;
+#else
+//! This is assumed to be the type of the _mp_size field of GMP's __mpz_struct.
+typedef int mp_size_field_t;
+#endif
+
+inline mp_size_field_t
+get_mp_size(const mpz_class &v) {
+ return v.get_mpz_t()->_mp_size;
+}
+
+inline void
+set_mp_size(mpz_class &v, mp_size_field_t size) {
+ v.get_mpz_t()->_mp_size = size;
+}
+
+template <typename Policy>
+inline Result
+classify_mpz(const mpz_class& v, bool nan, bool inf, bool sign) {
+ if (Policy::has_nan || Policy::has_infinity) {
+ mp_size_field_t s = get_mp_size(v);
+ if (Policy::has_nan
+ && (nan || sign)
+ && s == C_Integer<mp_size_field_t>::min + 1)
+ return V_NAN;
+ if (!inf && !sign)
+ return V_LGE;
+ if (Policy::has_infinity) {
+ if (s == C_Integer<mp_size_field_t>::min)
+ return inf ? V_EQ_MINUS_INFINITY : V_LT;
+ if (s == C_Integer<mp_size_field_t>::max)
+ return inf ? V_EQ_PLUS_INFINITY : V_GT;
+ }
+ }
+ if (sign)
+ return static_cast<Result>(sgn<Policy>(v));
+ return V_LGE;
+}
+
+PPL_SPECIALIZE_CLASSIFY(classify_mpz, mpz_class)
+
+template <typename Policy>
+inline bool
+is_nan_mpz(const mpz_class& v) {
+ return Policy::has_nan
+ && get_mp_size(v) == C_Integer<mp_size_field_t>::min + 1;
+}
+
+PPL_SPECIALIZE_IS_NAN(is_nan_mpz, mpz_class)
+
+template <typename Policy>
+inline bool
+is_minf_mpz(const mpz_class& v) {
+ return Policy::has_infinity
+ && get_mp_size(v) == C_Integer<mp_size_field_t>::min;
+}
+
+PPL_SPECIALIZE_IS_MINF(is_minf_mpz, mpz_class)
+
+template <typename Policy>
+inline bool
+is_pinf_mpz(const mpz_class& v) {
+ return Policy::has_infinity
+ && get_mp_size(v) == C_Integer<mp_size_field_t>::max;
+}
+
+PPL_SPECIALIZE_IS_PINF(is_pinf_mpz, mpz_class)
+
+template <typename Policy>
+inline bool
+is_int_mpz(const mpz_class& v) {
+ return !is_nan<Policy>(v);
+}
+
+PPL_SPECIALIZE_IS_INT(is_int_mpz, mpz_class)
+
+template <typename Policy>
+inline Result
+assign_special_mpz(mpz_class& v, Result_Class c, Rounding_Dir) {
+ switch (c) {
+ case VC_NAN:
+ if (Policy::has_nan)
+ set_mp_size(v, C_Integer<mp_size_field_t>::min + 1);
+ return V_NAN;
+ case VC_MINUS_INFINITY:
+ if (Policy::has_infinity) {
+ set_mp_size(v, C_Integer<mp_size_field_t>::min);
+ return V_EQ_MINUS_INFINITY;
+ }
+ return V_EQ_MINUS_INFINITY | V_UNREPRESENTABLE;
+ case VC_PLUS_INFINITY:
+ if (Policy::has_infinity) {
+ set_mp_size(v, C_Integer<mp_size_field_t>::max);
+ return V_EQ_PLUS_INFINITY;
+ }
+ return V_EQ_PLUS_INFINITY | V_UNREPRESENTABLE;
+ default:
+ PPL_UNREACHABLE;
+ return V_NAN;
+ }
+}
+
+PPL_SPECIALIZE_ASSIGN_SPECIAL(assign_special_mpz, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline void
+copy_mpz(mpz_class& to, const mpz_class& from) {
+ if (is_nan_mpz<From_Policy>(from))
+ PPL_ASSERT(To_Policy::has_nan);
+ else if (is_minf_mpz<From_Policy>(from) || is_pinf_mpz<From_Policy>(from))
+ PPL_ASSERT(To_Policy::has_infinity);
+ else {
+ to = from;
+ return;
+ }
+ set_mp_size(to, get_mp_size(from));
+}
+
+PPL_SPECIALIZE_COPY(copy_mpz, mpz_class)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+construct_mpz_base(mpz_class& to, const From from, Rounding_Dir) {
+ new (&to) mpz_class(from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, char)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed char)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed short)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed int)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, signed long)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned char)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned short)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned int)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_base, mpz_class, unsigned long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+construct_mpz_float(mpz_class& to, const From& from, Rounding_Dir dir) {
+ if (is_nan<From_Policy>(from))
+ return construct_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(from))
+ return construct_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(from))
+ return construct_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ if (round_not_requested(dir)) {
+ new (&to) mpz_class(from);
+ return V_LGE;
+ }
+ From n = rint(from);
+ new (&to) mpz_class(n);
+ if (from == n)
+ return V_EQ;
+ if (from < 0)
+ return round_lt_mpz<To_Policy>(to, dir);
+ else
+ return round_gt_mpz<To_Policy>(to, dir);
+}
+
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_float, mpz_class, float)
+PPL_SPECIALIZE_CONSTRUCT(construct_mpz_float, mpz_class, double)
+
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, mpz_class)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, char)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed char)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed short)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed int)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, signed long)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned char)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned short)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned int)
+PPL_SPECIALIZE_ASSIGN(assign_exact, mpz_class, unsigned long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpz_signed_int(mpz_class& to, const From from, Rounding_Dir) {
+ if (sizeof(From) <= sizeof(signed long))
+ to = static_cast<signed long>(from);
+ else {
+ mpz_ptr m = to.get_mpz_t();
+ if (from >= 0)
+ mpz_import(m, 1, 1, sizeof(From), 0, 0, &from);
+ else {
+ From n = -from;
+ mpz_import(m, 1, 1, sizeof(From), 0, 0, &n);
+ mpz_neg(m, m);
+ }
+ }
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpz_signed_int, mpz_class, signed long long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpz_unsigned_int(mpz_class& to, const From from, Rounding_Dir) {
+ if (sizeof(From) <= sizeof(unsigned long))
+ to = static_cast<unsigned long>(from);
+ else
+ mpz_import(to.get_mpz_t(), 1, 1, sizeof(From), 0, 0, &from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpz_unsigned_int, mpz_class, unsigned long long)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpz_float(mpz_class& to, const From from, Rounding_Dir dir) {
+ if (is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ if (round_not_requested(dir)) {
+ to = from;
+ return V_LGE;
+ }
+ From i_from = rint(from);
+ to = i_from;
+ if (from == i_from)
+ return V_EQ;
+ if (round_direct(ROUND_UP))
+ return round_lt_mpz<To_Policy>(to, dir);
+ if (round_direct(ROUND_DOWN))
+ return round_gt_mpz<To_Policy>(to, dir);
+ if (from < i_from)
+ return round_lt_mpz<To_Policy>(to, dir);
+ if (from > i_from)
+ return round_gt_mpz<To_Policy>(to, dir);
+ PPL_UNREACHABLE;
+ return V_NAN;
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpz_float, mpz_class, float)
+PPL_SPECIALIZE_ASSIGN(assign_mpz_float, mpz_class, double)
+
+template <typename To_Policy, typename From_Policy, typename From>
+inline Result
+assign_mpz_long_double(mpz_class& to, const From& from, Rounding_Dir dir) {
+ if (is_nan<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
+ else if (is_minf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ else if (is_pinf<From_Policy>(from))
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ // FIXME: this is an incredibly inefficient implementation!
+ std::stringstream ss;
+ output<From_Policy>(ss, from, Numeric_Format(), dir);
+ PPL_DIRTY_TEMP(mpq_class, tmp);
+#ifndef NDEBUG
+ Result r =
+#endif
+ input_mpq(tmp, ss);
+ PPL_ASSERT(r == V_EQ);
+ return assign<To_Policy, From_Policy>(to, tmp, dir);
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpz_long_double, mpz_class, long double)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+assign_mpz_mpq(mpz_class& to, const mpq_class& from, Rounding_Dir dir) {
+ if (round_not_needed(dir)) {
+ to = from.get_num();
+ return V_LGE;
+ }
+ if (round_ignore(dir)) {
+ to = from;
+ return V_LGE;
+ }
+ const mpz_srcptr n = from.get_num().get_mpz_t();
+ const mpz_srcptr d = from.get_den().get_mpz_t();
+ if (round_down(dir)) {
+ mpz_fdiv_q(to.get_mpz_t(), n, d);
+ if (round_strict_relation(dir))
+ return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_GT;
+ return V_GE;
+ }
+ else {
+ PPL_ASSERT(round_up(dir));
+ mpz_cdiv_q(to.get_mpz_t(), n, d);
+ if (round_strict_relation(dir))
+ return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_LT;
+ return V_LE;
+ }
+}
+
+PPL_SPECIALIZE_ASSIGN(assign_mpz_mpq, mpz_class, mpq_class)
+
+PPL_SPECIALIZE_FLOOR(assign_exact, mpz_class, mpz_class)
+PPL_SPECIALIZE_CEIL(assign_exact, mpz_class, mpz_class)
+PPL_SPECIALIZE_TRUNC(assign_exact, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+neg_mpz(mpz_class& to, const mpz_class& from, Rounding_Dir) {
+ mpz_neg(to.get_mpz_t(), from.get_mpz_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_NEG(neg_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+add_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
+ to = x + y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ADD(add_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+sub_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
+ to = x - y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SUB(sub_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
+ to = x * y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_MUL(mul_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+div_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
+ Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ const mpz_srcptr n = x.get_mpz_t();
+ const mpz_srcptr d = y.get_mpz_t();
+ if (round_not_needed(dir)) {
+ mpz_divexact(to.get_mpz_t(), n, d);
+ return V_LGE;
+ }
+ if (round_ignore(dir)) {
+ mpz_cdiv_q(to.get_mpz_t(), n, d);
+ return V_LE;
+ }
+ if (round_down(dir)) {
+ mpz_fdiv_q(to.get_mpz_t(), n, d);
+ if (round_strict_relation(dir))
+ return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_GT;
+ return V_GE;
+ }
+ else {
+ PPL_ASSERT(round_up(dir));
+ mpz_cdiv_q(to.get_mpz_t(), n, d);
+ if (round_strict_relation(dir))
+ return (mpz_divisible_p(n, d) != 0) ? V_EQ : V_LT;
+ return V_LE;
+ }
+}
+
+PPL_SPECIALIZE_DIV(div_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+idiv_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
+ Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ }
+ mpz_srcptr n = x.get_mpz_t();
+ mpz_srcptr d = y.get_mpz_t();
+ mpz_tdiv_q(to.get_mpz_t(), n, d);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_IDIV(idiv_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+rem_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
+ if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
+ return assign_nan<To_Policy>(to, V_MOD_ZERO);
+ }
+ to = x % y;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_REM(rem_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+add_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
+ Rounding_Dir) {
+ PPL_DIRTY_TEMP(mpz_class, v);
+ v = 1;
+ mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
+ to = x + v;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ADD_2EXP(add_2exp_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+sub_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
+ Rounding_Dir) {
+ PPL_DIRTY_TEMP(mpz_class, v);
+ v = 1;
+ mpz_mul_2exp(v.get_mpz_t(), v.get_mpz_t(), exp);
+ to = x - v;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SUB_2EXP(sub_2exp_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+mul_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
+ Rounding_Dir) {
+ mpz_mul_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_MUL_2EXP(mul_2exp_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+div_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
+ Rounding_Dir dir) {
+ const mpz_srcptr n = x.get_mpz_t();
+ if (round_not_requested(dir)) {
+ mpz_tdiv_q_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
+ return V_LGE;
+ }
+ if (round_down(dir)) {
+ mpz_fdiv_q_2exp(to.get_mpz_t(), n, exp);
+ if (round_strict_relation(dir))
+ return (mpz_divisible_2exp_p(n, exp) != 0) ? V_EQ : V_GT;
+ return V_GE;
+ }
+ else {
+ PPL_ASSERT(round_up(dir));
+ mpz_cdiv_q_2exp(to.get_mpz_t(), n, exp);
+ if (round_strict_relation(dir))
+ return (mpz_divisible_2exp_p(n, exp) != 0) ? V_EQ : V_LT;
+ return V_LE;
+ }
+}
+
+PPL_SPECIALIZE_DIV_2EXP(div_2exp_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+smod_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
+ Rounding_Dir) {
+ if (mpz_tstbit(x.get_mpz_t(), exp - 1) != 0)
+ mpz_cdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
+ else
+ mpz_fdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+umod_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
+ Rounding_Dir) {
+ mpz_fdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+abs_mpz(mpz_class& to, const mpz_class& from, Rounding_Dir) {
+ to = abs(from);
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ABS(abs_mpz, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+add_mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
+ Rounding_Dir) {
+ mpz_addmul(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_ADD_MUL(add_mul_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+sub_mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
+ Rounding_Dir) {
+ mpz_submul(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_SUB_MUL(sub_mul_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+gcd_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
+ mpz_gcd(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_GCD(gcd_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+gcdext_mpz(mpz_class& to, mpz_class& s, mpz_class& t,
+ const mpz_class& x, const mpz_class& y,
+ Rounding_Dir) {
+ mpz_gcdext(to.get_mpz_t(), s.get_mpz_t(), t.get_mpz_t(),
+ x.get_mpz_t(), y.get_mpz_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_GCDEXT(gcdext_mpz, mpz_class, mpz_class, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From1_Policy, typename From2_Policy>
+inline Result
+lcm_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y, Rounding_Dir) {
+ mpz_lcm(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_LCM(lcm_mpz, mpz_class, mpz_class, mpz_class)
+
+template <typename To_Policy, typename From_Policy>
+inline Result
+sqrt_mpz(mpz_class& to, const mpz_class& from, Rounding_Dir dir) {
+ if (CHECK_P(To_Policy::check_sqrt_neg, from < 0)) {
+ return assign_nan<To_Policy>(to, V_SQRT_NEG);
+ }
+ if (round_not_requested(dir)) {
+ to = sqrt(from);
+ return V_GE;
+ }
+ PPL_DIRTY_TEMP(mpz_class, r);
+ mpz_sqrtrem(to.get_mpz_t(), r.get_mpz_t(), from.get_mpz_t());
+ if (r == 0)
+ return V_EQ;
+ return round_gt_mpz<To_Policy>(to, dir);
+}
+
+PPL_SPECIALIZE_SQRT(sqrt_mpz, mpz_class, mpz_class)
+
+template <typename Policy, typename Type>
+inline Result_Relation
+sgn_mp(const Type& x) {
+ const int sign = ::sgn(x);
+ return (sign > 0) ? VR_GT : ((sign < 0) ? VR_LT : VR_EQ);
+}
+
+PPL_SPECIALIZE_SGN(sgn_mp, mpz_class)
+PPL_SPECIALIZE_SGN(sgn_mp, mpq_class)
+
+template <typename Policy1, typename Policy2, typename Type>
+inline Result_Relation
+cmp_mp(const Type& x, const Type& y) {
+ int i = ::cmp(x, y);
+ return (i > 0) ? VR_GT : ((i < 0) ? VR_LT : VR_EQ);
+}
+
+PPL_SPECIALIZE_CMP(cmp_mp, mpz_class, mpz_class)
+PPL_SPECIALIZE_CMP(cmp_mp, mpq_class, mpq_class)
+
+template <typename Policy>
+inline Result
+output_mpz(std::ostream& os, const mpz_class& from, const Numeric_Format&,
+ Rounding_Dir) {
+ os << from;
+ return V_EQ;
+}
+
+PPL_SPECIALIZE_INPUT(input_generic, mpz_class)
+PPL_SPECIALIZE_OUTPUT(output_mpz, mpz_class)
+
+} // namespace Checked
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_checked_mpz_inlines_hh)
diff --git a/src/checked_numeric_limits.hh b/src/checked_numeric_limits.hh
index 757fe20..b5f410c 100644
--- a/src/checked_numeric_limits.hh
+++ b/src/checked_numeric_limits.hh
@@ -1,6 +1,6 @@
/* Specializations of std::numeric_limits for "checked" types.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,51 +24,51 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_checked_numeric_limits_hh
#define PPL_checked_numeric_limits_hh 1
-#include "Checked_Number.defs.hh"
-#include "checked_int.inlines.hh"
+#include "Checked_Number_defs.hh"
+#include "checked_int_inlines.hh"
#include <limits>
namespace std {
using namespace Parma_Polyhedra_Library;
-#define PPL_SPECIALIZE_LIMITS_INT(T) \
- /*! \brief Partial specialization of std::numeric_limits. */ \
- template <typename Policy> \
+#define PPL_SPECIALIZE_LIMITS_INT(T) \
+ /*! \brief Partial specialization of std::numeric_limits. */ \
+ template <typename Policy> \
class numeric_limits<Checked_Number<PPL_U(T), Policy> > \
: public numeric_limits<PPL_U(T)> { \
- private: \
+ private: \
typedef Checked_Number<PPL_U(T), Policy> Type; \
\
- public: \
- static const bool has_infinity = Policy::has_infinity; \
+ public: \
+ static const bool has_infinity = Policy::has_infinity; \
static const bool has_quiet_NaN = Policy::has_nan; \
\
- static Type min() { \
- Type v; \
+ static Type min() { \
+ Type v; \
v.raw_value() = Checked::Extended_Int<Policy, PPL_U(T)>::min; \
- return v; \
- } \
+ return v; \
+ } \
\
- static Type max() { \
- Type v; \
+ static Type max() { \
+ Type v; \
v.raw_value() = Checked::Extended_Int<Policy, PPL_U(T)>::max; \
- return v; \
- } \
- \
- static Type infinity() { \
- Type v; \
- Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY, \
+ return v; \
+ } \
+ \
+ static Type infinity() { \
+ Type v; \
+ Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY, \
ROUND_IGNORE); \
- return v; \
- } \
- \
- static Type quiet_NaN() { \
- Type v; \
- Checked::assign_special<Policy>(v.raw_value(), VC_NAN, \
+ return v; \
+ } \
+ \
+ static Type quiet_NaN() { \
+ Type v; \
+ Checked::assign_special<Policy>(v.raw_value(), VC_NAN, \
ROUND_IGNORE); \
- return v; \
- } \
+ return v; \
+ } \
};
PPL_SPECIALIZE_LIMITS_INT(char)
@@ -87,9 +87,9 @@ PPL_SPECIALIZE_LIMITS_INT(unsigned long long)
#undef PPL_SPECIALIZE_LIMITS_INT
-#define PPL_SPECIALIZE_LIMITS_FLOAT(T) \
- /*! \brief Partial specialization of std::numeric_limits. */ \
- template <typename Policy> \
+#define PPL_SPECIALIZE_LIMITS_FLOAT(T) \
+ /*! \brief Partial specialization of std::numeric_limits. */ \
+ template <typename Policy> \
struct numeric_limits<Checked_Number<PPL_U(T), Policy> > \
: public numeric_limits<PPL_U(T)> { \
};
@@ -123,7 +123,7 @@ public:
static Type infinity() {
Type v;
Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY,
- ROUND_IGNORE);
+ ROUND_IGNORE);
return v;
}
@@ -151,7 +151,7 @@ public:
static Type infinity() {
Type v;
Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY,
- ROUND_IGNORE);
+ ROUND_IGNORE);
return v;
}
diff --git a/src/compiler.hh b/src/compiler.hh
index 578b83b..840620a 100644
--- a/src/compiler.hh
+++ b/src/compiler.hh
@@ -1,6 +1,6 @@
/* C++ compiler related stuff.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/distances.defs.hh b/src/distances.defs.hh
deleted file mode 100644
index adbb098..0000000
--- a/src/distances.defs.hh
+++ /dev/null
@@ -1,54 +0,0 @@
-/* Class declarations for several distances.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_distances_defs_hh
-#define PPL_distances_defs_hh 1
-
-#include "distances.types.hh"
-#include "Rounding_Dir.defs.hh"
-
-template <typename Temp>
-struct Parma_Polyhedra_Library::Rectilinear_Distance_Specialization {
- static void combine(Temp& running, const Temp& current, Rounding_Dir dir);
-
- static void finalize(Temp&, Rounding_Dir);
-};
-
-template <typename Temp>
-struct Parma_Polyhedra_Library::Euclidean_Distance_Specialization {
- static void combine(Temp& running, Temp& current, Rounding_Dir dir);
-
- static void finalize(Temp& running, Rounding_Dir dir);
-};
-
-
-template <typename Temp>
-struct Parma_Polyhedra_Library::L_Infinity_Distance_Specialization {
- static void combine(Temp& running, const Temp& current, Rounding_Dir);
-
- static void finalize(Temp&, Rounding_Dir);
-};
-
-#include "distances.inlines.hh"
-
-#endif // !defined(PPL_distances_defs_hh)
diff --git a/src/distances.inlines.hh b/src/distances.inlines.hh
deleted file mode 100644
index fd0863d..0000000
--- a/src/distances.inlines.hh
+++ /dev/null
@@ -1,113 +0,0 @@
-/* Inline functions implementing distances.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_distances_inlines_hh
-#define PPL_distances_inlines_hh 1
-
-#include "Result.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-// A struct to work around the lack of partial specialization
-// of function templates in C++.
-template <typename To, typename From>
-struct maybe_assign_struct {
- static inline Result
- function(const To*& top, To& tmp, const From& from, Rounding_Dir dir) {
- // When `To' and `From' are different types, we make the conversion
- // and use `tmp'.
- top = &tmp;
- return assign_r(tmp, from, dir);
- }
-};
-
-template <typename Type>
-struct maybe_assign_struct<Type, Type> {
- static inline Result
- function(const Type*& top, Type&, const Type& from, Rounding_Dir) {
- // When the types are the same, conversion is unnecessary.
- top = &from;
- return V_EQ;
- }
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Assigns to \p top a pointer to a location that holds the
- conversion, according to \p dir, of \p from to type \p To. When
- necessary, and only when necessary, the variable \p tmp is used to
- hold the result of conversion.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename To, typename From>
-inline Result
-maybe_assign(const To*& top, To& tmp, const From& from, Rounding_Dir dir) {
- return maybe_assign_struct<To, From>::function(top, tmp, from, dir);
-}
-
-template <typename Temp>
-inline void
-Rectilinear_Distance_Specialization<Temp>::combine(Temp& running,
- const Temp& current,
- Rounding_Dir dir) {
- add_assign_r(running, running, current, dir);
-}
-
-template <typename Temp>
-inline void
-Rectilinear_Distance_Specialization<Temp>::finalize(Temp&, Rounding_Dir) {
-}
-
-template <typename Temp>
-inline void
-Euclidean_Distance_Specialization<Temp>::combine(Temp& running,
- Temp& current,
- Rounding_Dir dir) {
- mul_assign_r(current, current, current, dir);
- add_assign_r(running, running, current, dir);
-}
-
-template <typename Temp>
-inline void
-Euclidean_Distance_Specialization<Temp>::finalize(Temp& running,
- Rounding_Dir dir) {
- sqrt_assign_r(running, running, dir);
-}
-
-template <typename Temp>
-inline void
-L_Infinity_Distance_Specialization<Temp>::combine(Temp& running,
- const Temp& current,
- Rounding_Dir) {
- if (current > running)
- running = current;
-}
-
-template <typename Temp>
-inline void
-L_Infinity_Distance_Specialization<Temp>::finalize(Temp&, Rounding_Dir) {
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_distances_inlines_hh)
diff --git a/src/distances.types.hh b/src/distances.types.hh
deleted file mode 100644
index e9a7995..0000000
--- a/src/distances.types.hh
+++ /dev/null
@@ -1,29 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_distances_types_hh
-#define PPL_distances_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Temp>
-struct Rectilinear_Distance_Specialization;
-
-template <typename Temp>
-struct Euclidean_Distance_Specialization;
-
-template <typename Temp>
-struct L_Infinity_Distance_Specialization;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_distances_types_hh)
diff --git a/src/distances_defs.hh b/src/distances_defs.hh
new file mode 100644
index 0000000..4803f8f
--- /dev/null
+++ b/src/distances_defs.hh
@@ -0,0 +1,54 @@
+/* Class declarations for several distances.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_distances_defs_hh
+#define PPL_distances_defs_hh 1
+
+#include "distances_types.hh"
+#include "Rounding_Dir_defs.hh"
+
+template <typename Temp>
+struct Parma_Polyhedra_Library::Rectilinear_Distance_Specialization {
+ static void combine(Temp& running, const Temp& current, Rounding_Dir dir);
+
+ static void finalize(Temp&, Rounding_Dir);
+};
+
+template <typename Temp>
+struct Parma_Polyhedra_Library::Euclidean_Distance_Specialization {
+ static void combine(Temp& running, Temp& current, Rounding_Dir dir);
+
+ static void finalize(Temp& running, Rounding_Dir dir);
+};
+
+
+template <typename Temp>
+struct Parma_Polyhedra_Library::L_Infinity_Distance_Specialization {
+ static void combine(Temp& running, const Temp& current, Rounding_Dir);
+
+ static void finalize(Temp&, Rounding_Dir);
+};
+
+#include "distances_inlines.hh"
+
+#endif // !defined(PPL_distances_defs_hh)
diff --git a/src/distances_inlines.hh b/src/distances_inlines.hh
new file mode 100644
index 0000000..279a345
--- /dev/null
+++ b/src/distances_inlines.hh
@@ -0,0 +1,113 @@
+/* Inline functions implementing distances.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_distances_inlines_hh
+#define PPL_distances_inlines_hh 1
+
+#include "Result_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+// A struct to work around the lack of partial specialization
+// of function templates in C++.
+template <typename To, typename From>
+struct maybe_assign_struct {
+ static inline Result
+ function(const To*& top, To& tmp, const From& from, Rounding_Dir dir) {
+ // When `To' and `From' are different types, we make the conversion
+ // and use `tmp'.
+ top = &tmp;
+ return assign_r(tmp, from, dir);
+ }
+};
+
+template <typename Type>
+struct maybe_assign_struct<Type, Type> {
+ static inline Result
+ function(const Type*& top, Type&, const Type& from, Rounding_Dir) {
+ // When the types are the same, conversion is unnecessary.
+ top = &from;
+ return V_EQ;
+ }
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Assigns to \p top a pointer to a location that holds the
+ conversion, according to \p dir, of \p from to type \p To. When
+ necessary, and only when necessary, the variable \p tmp is used to
+ hold the result of conversion.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename To, typename From>
+inline Result
+maybe_assign(const To*& top, To& tmp, const From& from, Rounding_Dir dir) {
+ return maybe_assign_struct<To, From>::function(top, tmp, from, dir);
+}
+
+template <typename Temp>
+inline void
+Rectilinear_Distance_Specialization<Temp>::combine(Temp& running,
+ const Temp& current,
+ Rounding_Dir dir) {
+ add_assign_r(running, running, current, dir);
+}
+
+template <typename Temp>
+inline void
+Rectilinear_Distance_Specialization<Temp>::finalize(Temp&, Rounding_Dir) {
+}
+
+template <typename Temp>
+inline void
+Euclidean_Distance_Specialization<Temp>::combine(Temp& running,
+ Temp& current,
+ Rounding_Dir dir) {
+ mul_assign_r(current, current, current, dir);
+ add_assign_r(running, running, current, dir);
+}
+
+template <typename Temp>
+inline void
+Euclidean_Distance_Specialization<Temp>::finalize(Temp& running,
+ Rounding_Dir dir) {
+ sqrt_assign_r(running, running, dir);
+}
+
+template <typename Temp>
+inline void
+L_Infinity_Distance_Specialization<Temp>::combine(Temp& running,
+ const Temp& current,
+ Rounding_Dir) {
+ if (current > running)
+ running = current;
+}
+
+template <typename Temp>
+inline void
+L_Infinity_Distance_Specialization<Temp>::finalize(Temp&, Rounding_Dir) {
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_distances_inlines_hh)
diff --git a/src/distances_types.hh b/src/distances_types.hh
new file mode 100644
index 0000000..f8d5892
--- /dev/null
+++ b/src/distances_types.hh
@@ -0,0 +1,29 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_distances_types_hh
+#define PPL_distances_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Temp>
+struct Rectilinear_Distance_Specialization;
+
+template <typename Temp>
+struct Euclidean_Distance_Specialization;
+
+template <typename Temp>
+struct L_Infinity_Distance_Specialization;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_distances_types_hh)
diff --git a/src/fpu-c99.inlines.hh b/src/fpu-c99.inlines.hh
deleted file mode 100644
index 176affd..0000000
--- a/src/fpu-c99.inlines.hh
+++ /dev/null
@@ -1,100 +0,0 @@
-/* C99 Floating point unit related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_fpu_c99_inlines_hh
-#define PPL_fpu_c99_inlines_hh 1
-
-#ifdef PPL_HAVE_FENV_H
-#include <fenv.h>
-#include <stdexcept>
-
-#ifdef FE_TONEAREST
-#define PPL_FPU_TONEAREST FE_TONEAREST
-#endif
-#ifdef FE_UPWARD
-#define PPL_FPU_UPWARD FE_UPWARD
-#endif
-#ifdef FE_DOWNWARD
-#define PPL_FPU_DOWNWARD FE_DOWNWARD
-#endif
-#ifdef FE_TOWARDZERO
-#define PPL_FPU_TOWARDZERO FE_TOWARDZERO
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-fpu_initialize_control_functions() {
- int old = fegetround();
- if (fesetround(PPL_FPU_DOWNWARD) != 0
- || fesetround(PPL_FPU_UPWARD) != 0
- || fesetround(old) != 0)
- throw std::logic_error("PPL configuration error:"
- " PPL_CAN_CONTROL_FPU evaluates to true,"
- " but fesetround() returns nonzero.");
-}
-
-inline fpu_rounding_direction_type
-fpu_get_rounding_direction() {
- return static_cast<fpu_rounding_direction_type>(fegetround());
-}
-
-inline void
-fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
- fesetround(dir);
-}
-
-inline fpu_rounding_control_word_type
-fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
- fpu_rounding_control_word_type old
- = static_cast<fpu_rounding_control_word_type>(fegetround());
- fesetround(dir);
- return old;
-}
-
-inline void
-fpu_reset_inexact() {
-#if PPL_CXX_SUPPORTS_IEEE_INEXACT_FLAG
- feclearexcept(FE_INEXACT);
-#endif
-}
-
-inline void
-fpu_restore_rounding_direction(fpu_rounding_control_word_type w) {
- fesetround(w);
-}
-
-inline int
-fpu_check_inexact() {
-#if PPL_CXX_SUPPORTS_IEEE_INEXACT_FLAG
- return fetestexcept(FE_INEXACT) != 0 ? 1 : 0;
-#else
- return -1;
-#endif
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_HAVE_FENV_H)
-
-#endif // !defined(PPL_fpu_c99_inlines_hh)
diff --git a/src/fpu-c99_inlines.hh b/src/fpu-c99_inlines.hh
new file mode 100644
index 0000000..388281f
--- /dev/null
+++ b/src/fpu-c99_inlines.hh
@@ -0,0 +1,100 @@
+/* C99 Floating point unit related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_fpu_c99_inlines_hh
+#define PPL_fpu_c99_inlines_hh 1
+
+#ifdef PPL_HAVE_FENV_H
+#include <fenv.h>
+#include <stdexcept>
+
+#ifdef FE_TONEAREST
+#define PPL_FPU_TONEAREST FE_TONEAREST
+#endif
+#ifdef FE_UPWARD
+#define PPL_FPU_UPWARD FE_UPWARD
+#endif
+#ifdef FE_DOWNWARD
+#define PPL_FPU_DOWNWARD FE_DOWNWARD
+#endif
+#ifdef FE_TOWARDZERO
+#define PPL_FPU_TOWARDZERO FE_TOWARDZERO
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+fpu_initialize_control_functions() {
+ const int old = fegetround();
+ if (fesetround(PPL_FPU_DOWNWARD) != 0
+ || fesetround(PPL_FPU_UPWARD) != 0
+ || fesetround(old) != 0)
+ throw std::logic_error("PPL configuration error:"
+ " PPL_CAN_CONTROL_FPU evaluates to true,"
+ " but fesetround() returns nonzero.");
+}
+
+inline fpu_rounding_direction_type
+fpu_get_rounding_direction() {
+ return static_cast<fpu_rounding_direction_type>(fegetround());
+}
+
+inline void
+fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
+ fesetround(dir);
+}
+
+inline fpu_rounding_control_word_type
+fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
+ const fpu_rounding_control_word_type old
+ = static_cast<fpu_rounding_control_word_type>(fegetround());
+ fesetround(dir);
+ return old;
+}
+
+inline void
+fpu_reset_inexact() {
+#if PPL_CXX_SUPPORTS_IEEE_INEXACT_FLAG
+ feclearexcept(FE_INEXACT);
+#endif
+}
+
+inline void
+fpu_restore_rounding_direction(fpu_rounding_control_word_type w) {
+ fesetround(w);
+}
+
+inline int
+fpu_check_inexact() {
+#if PPL_CXX_SUPPORTS_IEEE_INEXACT_FLAG
+ return fetestexcept(FE_INEXACT) != 0 ? 1 : 0;
+#else
+ return -1;
+#endif
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_HAVE_FENV_H)
+
+#endif // !defined(PPL_fpu_c99_inlines_hh)
diff --git a/src/fpu-ia32.cc b/src/fpu-ia32.cc
index 73a1833..9c2fad0 100644
--- a/src/fpu-ia32.cc
+++ b/src/fpu-ia32.cc
@@ -1,6 +1,6 @@
/* IA-32 floating point unit non-inline related functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,7 +27,7 @@ site: http://bugseng.com/products/ppl/ . */
&& defined(__i386__) \
&& (defined(__GNUC__) || defined(__INTEL_COMPILER))
-#include "fpu.defs.hh"
+#include "fpu_defs.hh"
#include <csetjmp>
#include <csignal>
// This inclusion is to work around a bug present in some versions
diff --git a/src/fpu-ia32.inlines.hh b/src/fpu-ia32.inlines.hh
deleted file mode 100644
index 54ba62d..0000000
--- a/src/fpu-ia32.inlines.hh
+++ /dev/null
@@ -1,203 +0,0 @@
-/* IA-32 floating point unit inline related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_fpu_ia32_inlines_hh
-#define PPL_fpu_ia32_inlines_hh 1
-
-#include <csetjmp>
-#include <csignal>
-
-#define FPU_INVALID 0x01
-#define FPU_DIVBYZERO 0x04
-#define FPU_OVERFLOW 0x08
-#define FPU_UNDERFLOW 0x10
-#define FPU_INEXACT 0x20
-
-#define FPU_ALL_EXCEPT \
- (FPU_INEXACT | FPU_DIVBYZERO | FPU_UNDERFLOW | FPU_OVERFLOW | FPU_INVALID)
-
-#define PPL_FPU_TONEAREST 0
-#define PPL_FPU_DOWNWARD 0x400
-#define PPL_FPU_UPWARD 0x800
-#define PPL_FPU_TOWARDZERO 0xc00
-
-#define FPU_ROUNDING_MASK 0xc00
-
-#define SSE_INEXACT 0x20
-
-#define PPL_FPU_CONTROL_DEFAULT_BASE 0x37f
-#define PPL_SSE_CONTROL_DEFAULT_BASE 0x1f80
-
-// This MUST be congruent with the definition of ROUND_DIRECT
-#define PPL_FPU_CONTROL_DEFAULT \
- (PPL_FPU_CONTROL_DEFAULT_BASE | PPL_FPU_UPWARD)
-#define PPL_SSE_CONTROL_DEFAULT \
- (PPL_SSE_CONTROL_DEFAULT_BASE | (PPL_FPU_UPWARD << 3))
-
-namespace Parma_Polyhedra_Library {
-
-typedef struct {
- unsigned short control_word;
- unsigned short unused1;
- unsigned short status_word;
- unsigned short unused2;
- unsigned short tags;
- unsigned short unused3;
- unsigned int eip;
- unsigned short cs_selector;
- unsigned int opcode:11;
- unsigned int unused4:5;
- unsigned int data_offset;
- unsigned short data_selector;
- unsigned short unused5;
-} ia32_fenv_t;
-
-inline int
-fpu_get_control() {
- unsigned short cw;
- __asm__ __volatile__ ("fnstcw %0" : "=m" (*&cw) : : "memory");
- return cw;
-}
-
-inline void
-fpu_set_control(int c) {
- unsigned short cw = static_cast<unsigned short>(c);
- __asm__ __volatile__ ("fldcw %0" : : "m" (*&cw) : "memory");
-}
-
-inline int
-fpu_get_status() {
- unsigned short sw;
- __asm__ __volatile__ ("fnstsw %0" : "=a" (sw) : : "memory");
- return sw;
-}
-
-inline void
-fpu_clear_status(unsigned short bits) {
- /* There is no fldsw instruction */
- ia32_fenv_t env;
- __asm__ __volatile__ ("fnstenv %0" : "=m" (env));
- env.status_word = static_cast<unsigned short>(env.status_word & ~bits);
- __asm__ __volatile__ ("fldenv %0" : : "m" (env) : "memory");
-}
-
-inline void
-fpu_clear_exceptions() {
- __asm__ __volatile__ ("fnclex" : /* No outputs. */ : : "memory");
-}
-
-#ifdef PPL_FPMATH_MAY_USE_SSE
-inline void
-sse_set_control(unsigned int cw) {
- __asm__ __volatile__ ("ldmxcsr %0" : : "m" (*&cw) : "memory");
-}
-
-inline unsigned int
-sse_get_control() {
- unsigned int cw;
- __asm__ __volatile__ ("stmxcsr %0" : "=m" (*&cw) : : "memory");
- return cw;
-}
-#endif
-
-inline void
-fpu_initialize_control_functions() {
-#ifdef PPL_FPMATH_MAY_USE_SSE
- extern void detect_sse_unit();
- detect_sse_unit();
-#endif
-}
-
-inline fpu_rounding_direction_type
-fpu_get_rounding_direction() {
- return static_cast<fpu_rounding_direction_type>(fpu_get_control() & FPU_ROUNDING_MASK);
-}
-
-inline void
-fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
-#ifdef PPL_FPMATH_MAY_USE_387
- fpu_set_control(PPL_FPU_CONTROL_DEFAULT_BASE | dir);
-#endif
-#ifdef PPL_FPMATH_MAY_USE_SSE
- extern bool have_sse_unit;
- if (have_sse_unit)
- sse_set_control(PPL_SSE_CONTROL_DEFAULT_BASE | (dir << 3));
-#endif
-}
-
-inline fpu_rounding_control_word_type
-fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
-#ifdef PPL_FPMATH_MAY_USE_387
- fpu_set_control(PPL_FPU_CONTROL_DEFAULT_BASE | dir);
-#endif
-#ifdef PPL_FPMATH_MAY_USE_SSE
- extern bool have_sse_unit;
- if (have_sse_unit)
- sse_set_control(PPL_SSE_CONTROL_DEFAULT_BASE | (dir << 3));
-#endif
- return static_cast<fpu_rounding_control_word_type>(0);
-}
-
-inline void
-fpu_reset_inexact() {
-#ifdef PPL_FPMATH_MAY_USE_387
- fpu_clear_exceptions();
-#endif
-#ifdef PPL_FPMATH_MAY_USE_SSE
- // NOTE: on entry to this function the current rounding mode
- // has to be the default one.
- extern bool have_sse_unit;
- if (have_sse_unit)
- sse_set_control(PPL_SSE_CONTROL_DEFAULT);
-#endif
-}
-
-inline void
-fpu_restore_rounding_direction(fpu_rounding_control_word_type) {
-#ifdef PPL_FPMATH_MAY_USE_387
- fpu_set_control(PPL_FPU_CONTROL_DEFAULT);
-#endif
-#ifdef PPL_FPMATH_MAY_USE_SSE
- extern bool have_sse_unit;
- if (have_sse_unit)
- sse_set_control(PPL_SSE_CONTROL_DEFAULT);
-#endif
-}
-
-inline int
-fpu_check_inexact() {
-#ifdef PPL_FPMATH_MAY_USE_387
- if (fpu_get_status() & FPU_INEXACT)
- return 1;
-#endif
-#ifdef PPL_FPMATH_MAY_USE_SSE
- extern bool have_sse_unit;
- if (have_sse_unit && (sse_get_control() & SSE_INEXACT))
- return 1;
-#endif
- return 0;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_fpu_ia32_inlines_hh)
diff --git a/src/fpu-ia32_inlines.hh b/src/fpu-ia32_inlines.hh
new file mode 100644
index 0000000..acc87fa
--- /dev/null
+++ b/src/fpu-ia32_inlines.hh
@@ -0,0 +1,203 @@
+/* IA-32 floating point unit inline related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_fpu_ia32_inlines_hh
+#define PPL_fpu_ia32_inlines_hh 1
+
+#include <csetjmp>
+#include <csignal>
+
+#define FPU_INVALID 0x01
+#define FPU_DIVBYZERO 0x04
+#define FPU_OVERFLOW 0x08
+#define FPU_UNDERFLOW 0x10
+#define FPU_INEXACT 0x20
+
+#define FPU_ALL_EXCEPT \
+ (FPU_INEXACT | FPU_DIVBYZERO | FPU_UNDERFLOW | FPU_OVERFLOW | FPU_INVALID)
+
+#define PPL_FPU_TONEAREST 0
+#define PPL_FPU_DOWNWARD 0x400
+#define PPL_FPU_UPWARD 0x800
+#define PPL_FPU_TOWARDZERO 0xc00
+
+#define FPU_ROUNDING_MASK 0xc00
+
+#define SSE_INEXACT 0x20
+
+#define PPL_FPU_CONTROL_DEFAULT_BASE 0x37f
+#define PPL_SSE_CONTROL_DEFAULT_BASE 0x1f80
+
+// This MUST be congruent with the definition of ROUND_DIRECT
+#define PPL_FPU_CONTROL_DEFAULT \
+ (PPL_FPU_CONTROL_DEFAULT_BASE | PPL_FPU_UPWARD)
+#define PPL_SSE_CONTROL_DEFAULT \
+ (PPL_SSE_CONTROL_DEFAULT_BASE | (PPL_FPU_UPWARD << 3))
+
+namespace Parma_Polyhedra_Library {
+
+typedef struct {
+ unsigned short control_word;
+ unsigned short unused1;
+ unsigned short status_word;
+ unsigned short unused2;
+ unsigned short tags;
+ unsigned short unused3;
+ unsigned int eip;
+ unsigned short cs_selector;
+ unsigned int opcode:11;
+ unsigned int unused4:5;
+ unsigned int data_offset;
+ unsigned short data_selector;
+ unsigned short unused5;
+} ia32_fenv_t;
+
+inline int
+fpu_get_control() {
+ unsigned short cw;
+ __asm__ __volatile__ ("fnstcw %0" : "=m" (*&cw) : : "memory");
+ return cw;
+}
+
+inline void
+fpu_set_control(int c) {
+ unsigned short cw = static_cast<unsigned short>(c);
+ __asm__ __volatile__ ("fldcw %0" : : "m" (*&cw) : "memory");
+}
+
+inline int
+fpu_get_status() {
+ unsigned short sw;
+ __asm__ __volatile__ ("fnstsw %0" : "=a" (sw) : : "memory");
+ return sw;
+}
+
+inline void
+fpu_clear_status(unsigned short bits) {
+ /* There is no fldsw instruction */
+ ia32_fenv_t env;
+ __asm__ __volatile__ ("fnstenv %0" : "=m" (env));
+ env.status_word = static_cast<unsigned short>(env.status_word & ~bits);
+ __asm__ __volatile__ ("fldenv %0" : : "m" (env) : "memory");
+}
+
+inline void
+fpu_clear_exceptions() {
+ __asm__ __volatile__ ("fnclex" : /* No outputs. */ : : "memory");
+}
+
+#ifdef PPL_FPMATH_MAY_USE_SSE
+inline void
+sse_set_control(unsigned int cw) {
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (*&cw) : "memory");
+}
+
+inline unsigned int
+sse_get_control() {
+ unsigned int cw;
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (*&cw) : : "memory");
+ return cw;
+}
+#endif
+
+inline void
+fpu_initialize_control_functions() {
+#ifdef PPL_FPMATH_MAY_USE_SSE
+ extern void detect_sse_unit();
+ detect_sse_unit();
+#endif
+}
+
+inline fpu_rounding_direction_type
+fpu_get_rounding_direction() {
+ return static_cast<fpu_rounding_direction_type>(fpu_get_control() & FPU_ROUNDING_MASK);
+}
+
+inline void
+fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
+#ifdef PPL_FPMATH_MAY_USE_387
+ fpu_set_control(PPL_FPU_CONTROL_DEFAULT_BASE | dir);
+#endif
+#ifdef PPL_FPMATH_MAY_USE_SSE
+ extern bool have_sse_unit;
+ if (have_sse_unit)
+ sse_set_control(PPL_SSE_CONTROL_DEFAULT_BASE | (dir << 3));
+#endif
+}
+
+inline fpu_rounding_control_word_type
+fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
+#ifdef PPL_FPMATH_MAY_USE_387
+ fpu_set_control(PPL_FPU_CONTROL_DEFAULT_BASE | dir);
+#endif
+#ifdef PPL_FPMATH_MAY_USE_SSE
+ extern bool have_sse_unit;
+ if (have_sse_unit)
+ sse_set_control(PPL_SSE_CONTROL_DEFAULT_BASE | (dir << 3));
+#endif
+ return static_cast<fpu_rounding_control_word_type>(0);
+}
+
+inline void
+fpu_reset_inexact() {
+#ifdef PPL_FPMATH_MAY_USE_387
+ fpu_clear_exceptions();
+#endif
+#ifdef PPL_FPMATH_MAY_USE_SSE
+ // NOTE: on entry to this function the current rounding mode
+ // has to be the default one.
+ extern bool have_sse_unit;
+ if (have_sse_unit)
+ sse_set_control(PPL_SSE_CONTROL_DEFAULT);
+#endif
+}
+
+inline void
+fpu_restore_rounding_direction(fpu_rounding_control_word_type) {
+#ifdef PPL_FPMATH_MAY_USE_387
+ fpu_set_control(PPL_FPU_CONTROL_DEFAULT);
+#endif
+#ifdef PPL_FPMATH_MAY_USE_SSE
+ extern bool have_sse_unit;
+ if (have_sse_unit)
+ sse_set_control(PPL_SSE_CONTROL_DEFAULT);
+#endif
+}
+
+inline int
+fpu_check_inexact() {
+#ifdef PPL_FPMATH_MAY_USE_387
+ if (fpu_get_status() & FPU_INEXACT)
+ return 1;
+#endif
+#ifdef PPL_FPMATH_MAY_USE_SSE
+ extern bool have_sse_unit;
+ if (have_sse_unit && (sse_get_control() & SSE_INEXACT))
+ return 1;
+#endif
+ return 0;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_fpu_ia32_inlines_hh)
diff --git a/src/fpu-none.inlines.hh b/src/fpu-none.inlines.hh
deleted file mode 100644
index 2112079..0000000
--- a/src/fpu-none.inlines.hh
+++ /dev/null
@@ -1,75 +0,0 @@
-/* Null floating point unit related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_fpu_none_inlines_hh
-#define PPL_fpu_none_inlines_hh 1
-
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-fpu_initialize_control_functions() {
- throw std::logic_error("PPL::fpu_initialize_control_functions():"
- " cannot control the FPU");
-}
-
-inline fpu_rounding_direction_type
-fpu_get_rounding_direction() {
- throw std::logic_error("PPL::fpu_get_rounding_direction():"
- " cannot control the FPU");
-}
-
-inline void
-fpu_set_rounding_direction(int) {
- throw std::logic_error("PPL::fpu_set_rounding_direction():"
- " cannot control the FPU");
-}
-
-inline int
-fpu_save_rounding_direction(int) {
- throw std::logic_error("PPL::fpu_save_rounding_direction():"
- " cannot control the FPU");
-}
-
-inline void
-fpu_reset_inexact() {
- throw std::logic_error("PPL::fpu_reset_inexact():"
- " cannot control the FPU");
-}
-
-inline void
-fpu_restore_rounding_direction(int) {
- throw std::logic_error("PPL::fpu_restore_rounding_direction():"
- " cannot control the FPU");
-}
-
-inline int
-fpu_check_inexact() {
- throw std::logic_error("PPL::fpu_check_inexact():"
- " cannot control the FPU");
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_fpu_none_inlines_hh)
diff --git a/src/fpu-none_inlines.hh b/src/fpu-none_inlines.hh
new file mode 100644
index 0000000..97da109
--- /dev/null
+++ b/src/fpu-none_inlines.hh
@@ -0,0 +1,75 @@
+/* Null floating point unit related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_fpu_none_inlines_hh
+#define PPL_fpu_none_inlines_hh 1
+
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+fpu_initialize_control_functions() {
+ throw std::logic_error("PPL::fpu_initialize_control_functions():"
+ " cannot control the FPU");
+}
+
+inline fpu_rounding_direction_type
+fpu_get_rounding_direction() {
+ throw std::logic_error("PPL::fpu_get_rounding_direction():"
+ " cannot control the FPU");
+}
+
+inline void
+fpu_set_rounding_direction(int) {
+ throw std::logic_error("PPL::fpu_set_rounding_direction():"
+ " cannot control the FPU");
+}
+
+inline int
+fpu_save_rounding_direction(int) {
+ throw std::logic_error("PPL::fpu_save_rounding_direction():"
+ " cannot control the FPU");
+}
+
+inline void
+fpu_reset_inexact() {
+ throw std::logic_error("PPL::fpu_reset_inexact():"
+ " cannot control the FPU");
+}
+
+inline void
+fpu_restore_rounding_direction(int) {
+ throw std::logic_error("PPL::fpu_restore_rounding_direction():"
+ " cannot control the FPU");
+}
+
+inline int
+fpu_check_inexact() {
+ throw std::logic_error("PPL::fpu_check_inexact():"
+ " cannot control the FPU");
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_fpu_none_inlines_hh)
diff --git a/src/fpu-sparc.inlines.hh b/src/fpu-sparc.inlines.hh
deleted file mode 100644
index 0c8f5f7..0000000
--- a/src/fpu-sparc.inlines.hh
+++ /dev/null
@@ -1,77 +0,0 @@
-/* SPARC floating point unit related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_fpu_sparc_inlines_hh
-#define PPL_fpu_sparc_inlines_hh 1
-
-#ifdef PPL_HAVE_IEEEFP_H
-#include <ieeefp.h>
-
-#define PPL_FPU_TONEAREST ((int) FP_RN)
-#define PPL_FPU_UPWARD ((int) FP_RP)
-#define PPL_FPU_DOWNWARD ((int) FP_RM)
-#define PPL_FPU_TOWARDZERO ((int) FP_RZ)
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-fpu_initialize_control_functions() {
-}
-
-inline fpu_rounding_direction_type
-fpu_get_rounding_direction() {
- return static_cast<fpu_rounding_direction_type>(fpgetround());
-}
-
-inline void
-fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
- fpsetround((fp_rnd) dir);
-}
-
-inline fpu_rounding_control_word_type
-fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
- return static_cast<fpu_rounding_control_word_type>(fpsetround((fp_rnd) dir));
-}
-
-inline void
-fpu_reset_inexact() {
- fp_except except = fpgetmask();
- except &= ~FP_X_IMP;
- fpsetmask(except);
-}
-
-inline void
-fpu_restore_rounding_direction(fpu_rounding_control_word_type w) {
- fpsetround((fp_rnd) w);
-}
-
-inline int
-fpu_check_inexact() {
- return (fpgetmask() & FP_X_IMP) ? 1 : 0;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_HAVE_IEEEFP_H)
-
-#endif // !defined(PPL_fpu_sparc_inlines_hh)
diff --git a/src/fpu-sparc_inlines.hh b/src/fpu-sparc_inlines.hh
new file mode 100644
index 0000000..969a840
--- /dev/null
+++ b/src/fpu-sparc_inlines.hh
@@ -0,0 +1,77 @@
+/* SPARC floating point unit related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_fpu_sparc_inlines_hh
+#define PPL_fpu_sparc_inlines_hh 1
+
+#ifdef PPL_HAVE_IEEEFP_H
+#include <ieeefp.h>
+
+#define PPL_FPU_TONEAREST ((int) FP_RN)
+#define PPL_FPU_UPWARD ((int) FP_RP)
+#define PPL_FPU_DOWNWARD ((int) FP_RM)
+#define PPL_FPU_TOWARDZERO ((int) FP_RZ)
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+fpu_initialize_control_functions() {
+}
+
+inline fpu_rounding_direction_type
+fpu_get_rounding_direction() {
+ return static_cast<fpu_rounding_direction_type>(fpgetround());
+}
+
+inline void
+fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
+ fpsetround((fp_rnd) dir);
+}
+
+inline fpu_rounding_control_word_type
+fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
+ return static_cast<fpu_rounding_control_word_type>(fpsetround((fp_rnd) dir));
+}
+
+inline void
+fpu_reset_inexact() {
+ fp_except except = fpgetmask();
+ except &= ~FP_X_IMP;
+ fpsetmask(except);
+}
+
+inline void
+fpu_restore_rounding_direction(fpu_rounding_control_word_type w) {
+ fpsetround((fp_rnd) w);
+}
+
+inline int
+fpu_check_inexact() {
+ return (fpgetmask() & FP_X_IMP) ? 1 : 0;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_HAVE_IEEEFP_H)
+
+#endif // !defined(PPL_fpu_sparc_inlines_hh)
diff --git a/src/fpu.defs.hh b/src/fpu.defs.hh
deleted file mode 100644
index a3acf1a..0000000
--- a/src/fpu.defs.hh
+++ /dev/null
@@ -1,104 +0,0 @@
-/* Floating point unit related functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_fpu_defs_hh
-#define PPL_fpu_defs_hh 1
-
-#include "fpu.types.hh"
-#include "compiler.hh"
-
-namespace Parma_Polyhedra_Library {
-
-//! \name Functions Controlling Floating Point Unit
-//@{
-
-//! Initializes the FPU control functions.
-void
-fpu_initialize_control_functions();
-
-//! Returns the current FPU rounding direction.
-fpu_rounding_direction_type
-fpu_get_rounding_direction();
-
-//! Sets the FPU rounding direction to \p dir.
-void
-fpu_set_rounding_direction(fpu_rounding_direction_type dir);
-
-/*! \brief
- Sets the FPU rounding direction to \p dir and returns the rounding
- control word previously in use.
-*/
-fpu_rounding_control_word_type
-fpu_save_rounding_direction(fpu_rounding_direction_type dir);
-
-/*! \brief
- Sets the FPU rounding direction to \p dir, clears the <EM>inexact
- computation</EM> status, and returns the rounding control word
- previously in use.
-*/
-fpu_rounding_control_word_type
-fpu_save_rounding_direction_reset_inexact(fpu_rounding_direction_type dir);
-
-//! Restores the FPU rounding rounding control word to \p cw.
-void
-fpu_restore_rounding_direction(fpu_rounding_control_word_type w);
-
-//! Clears the <EM>inexact computation</EM> status.
-void
-fpu_reset_inexact();
-
-/*! \brief
- Queries the <EM>inexact computation</EM> status.
-
- Returns 0 if the computation was definitely exact, 1 if it was
- definitely inexact, -1 if definite exactness information is unavailable.
-*/
-int
-fpu_check_inexact();
-
-//@} // Functions Controlling Floating Point Unit
-
-} // namespace Parma_Polyhedra_Library
-
-#if PPL_CAN_CONTROL_FPU
-
-#if defined(__i386__) && (defined(__GNUC__) || defined(__INTEL_COMPILER))
-#include "fpu-ia32.inlines.hh"
-#elif defined(PPL_HAVE_IEEEFP_H) \
- && (defined(__sparc) \
- || defined(sparc) \
- || defined(__sparc__))
-#include "fpu-sparc.inlines.hh"
-#elif defined(PPL_HAVE_FENV_H)
-#include "fpu-c99.inlines.hh"
-#else
-#error "PPL_CAN_CONTROL_FPU evaluates to true: why?"
-#endif
-
-#else // !PPL_CAN_CONTROL_FPU
-
-#include "fpu-none.inlines.hh"
-
-#endif // !PPL_CAN_CONTROL_FPU
-
-#endif // !defined(PPL_fpu_defs_hh)
diff --git a/src/fpu.types.hh b/src/fpu.types.hh
deleted file mode 100644
index 5e719b1..0000000
--- a/src/fpu.types.hh
+++ /dev/null
@@ -1,27 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_fpu_types_hh
-#define PPL_fpu_types_hh 1
-
-#ifdef PPL_HAVE_IEEEFP_H
-#include <ieeefp.h>
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-enum fpu_rounding_direction_type {};
-enum fpu_rounding_control_word_type {};
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_fpu_types_hh)
diff --git a/src/fpu_defs.hh b/src/fpu_defs.hh
new file mode 100644
index 0000000..dce91e4
--- /dev/null
+++ b/src/fpu_defs.hh
@@ -0,0 +1,104 @@
+/* Floating point unit related functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_fpu_defs_hh
+#define PPL_fpu_defs_hh 1
+
+#include "fpu_types.hh"
+#include "compiler.hh"
+
+namespace Parma_Polyhedra_Library {
+
+//! \name Functions Controlling Floating Point Unit
+//@{
+
+//! Initializes the FPU control functions.
+void
+fpu_initialize_control_functions();
+
+//! Returns the current FPU rounding direction.
+fpu_rounding_direction_type
+fpu_get_rounding_direction();
+
+//! Sets the FPU rounding direction to \p dir.
+void
+fpu_set_rounding_direction(fpu_rounding_direction_type dir);
+
+/*! \brief
+ Sets the FPU rounding direction to \p dir and returns the rounding
+ control word previously in use.
+*/
+fpu_rounding_control_word_type
+fpu_save_rounding_direction(fpu_rounding_direction_type dir);
+
+/*! \brief
+ Sets the FPU rounding direction to \p dir, clears the <EM>inexact
+ computation</EM> status, and returns the rounding control word
+ previously in use.
+*/
+fpu_rounding_control_word_type
+fpu_save_rounding_direction_reset_inexact(fpu_rounding_direction_type dir);
+
+//! Restores the FPU rounding rounding control word to \p cw.
+void
+fpu_restore_rounding_direction(fpu_rounding_control_word_type w);
+
+//! Clears the <EM>inexact computation</EM> status.
+void
+fpu_reset_inexact();
+
+/*! \brief
+ Queries the <EM>inexact computation</EM> status.
+
+ Returns 0 if the computation was definitely exact, 1 if it was
+ definitely inexact, -1 if definite exactness information is unavailable.
+*/
+int
+fpu_check_inexact();
+
+//@} // Functions Controlling Floating Point Unit
+
+} // namespace Parma_Polyhedra_Library
+
+#if PPL_CAN_CONTROL_FPU
+
+#if defined(__i386__) && (defined(__GNUC__) || defined(__INTEL_COMPILER))
+#include "fpu-ia32_inlines.hh"
+#elif defined(PPL_HAVE_IEEEFP_H) \
+ && (defined(__sparc) \
+ || defined(sparc) \
+ || defined(__sparc__))
+#include "fpu-sparc_inlines.hh"
+#elif defined(PPL_HAVE_FENV_H)
+#include "fpu-c99_inlines.hh"
+#else
+#error "PPL_CAN_CONTROL_FPU evaluates to true: why?"
+#endif
+
+#else // !PPL_CAN_CONTROL_FPU
+
+#include "fpu-none_inlines.hh"
+
+#endif // !PPL_CAN_CONTROL_FPU
+
+#endif // !defined(PPL_fpu_defs_hh)
diff --git a/src/fpu_types.hh b/src/fpu_types.hh
new file mode 100644
index 0000000..e76c3a9
--- /dev/null
+++ b/src/fpu_types.hh
@@ -0,0 +1,27 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_fpu_types_hh
+#define PPL_fpu_types_hh 1
+
+#ifdef PPL_HAVE_IEEEFP_H
+#include <ieeefp.h>
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+enum fpu_rounding_direction_type {};
+enum fpu_rounding_control_word_type {};
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_fpu_types_hh)
diff --git a/src/globals.cc b/src/globals.cc
index 7e11305..a6f3517 100644
--- a/src/globals.cc
+++ b/src/globals.cc
@@ -1,6 +1,6 @@
/* Definitions of global objects.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,9 +22,9 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "globals.defs.hh"
-#include "Constraint.defs.hh"
-#include "Generator.defs.hh"
+#include "globals_defs.hh"
+#include "Constraint_defs.hh"
+#include "Generator_defs.hh"
namespace Parma_Polyhedra_Library {
diff --git a/src/globals.defs.hh b/src/globals.defs.hh
deleted file mode 100644
index 15340c2..0000000
--- a/src/globals.defs.hh
+++ /dev/null
@@ -1,550 +0,0 @@
-/* Declarations of global objects.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_globals_defs_hh
-#define PPL_globals_defs_hh 1
-
-#include "globals.types.hh"
-#include "C_Integer.hh"
-#include "meta_programming.hh"
-#include "Slow_Copy.hh"
-#include "Temp.defs.hh"
-#include <exception>
-#include <gmpxx.h>
-
-
-namespace Parma_Polyhedra_Library {
-
-//! Returns a value that does not designate a valid dimension.
-dimension_type
-not_a_dimension();
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the hash code for space dimension \p dim.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-int32_t
-hash_code_from_dimension(dimension_type dim);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Make sure swap() is specialized when needed.
-
- This will cause a compile-time error whenever a specialization for \p T
- is beneficial but missing.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-inline typename Enable_If<Slow_Copy<T>::value, void>::type
-swap(T&, T&) {
- PPL_COMPILE_TIME_CHECK(!Slow_Copy<T>::value, "missing swap specialization");
-}
-
-/*! \brief
- Declare a local variable named \p id, of type Coefficient, and containing
- an unknown initial value.
-
- Use of this macro to declare temporaries of type Coefficient results
- in decreased memory allocation overhead and in better locality.
-*/
-#define PPL_DIRTY_TEMP_COEFFICIENT(id) \
-PPL_DIRTY_TEMP(Parma_Polyhedra_Library::Coefficient, id)
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Speculative allocation function.
-/*!
- \return
- The actual capacity to be allocated.
-
- \param requested_size
- The number of elements we need.
-
- \param maximum_size
- The maximum number of elements to be allocated. It is assumed
- to be no less than \p requested_size.
-
- Computes a capacity given a requested size.
- Allows for speculative allocation aimed at reducing the number of
- reallocations enough to guarantee amortized constant insertion time
- for our vector-like data structures. In all cases, the speculative
- allocation will not exceed \p maximum_size.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-dimension_type
-compute_capacity(dimension_type requested_size,
- dimension_type maximum_size);
-
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Traits class for the deterministic timeout mechanism.
-/*! \ingroup PPL_CXX_interface
- This abstract base class should be instantiated by those users
- willing to provide a polynomial upper bound to the time spent
- by any invocation of a library operator.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-struct Weightwatch_Traits {
- //! The type used to specify thresholds for computational weight.
- typedef unsigned long long Threshold;
-
- //! The type used to specify increments of computational weight.
- typedef unsigned long long Delta;
-
- //! Returns the current computational weight.
- static const Threshold& get();
-
- //! Compares the two weights \p a and \p b.
- static bool less_than(const Threshold& a, const Threshold& b);
-
- //! Computes a \c Delta value from \p unscaled and \p scale.
- /*!
- \return
- \f$u \cdot 2^s\f$, where \f$u\f$ is the value of \p unscaled and
- \f$s\f$ is the value of \p scale.
-
- \param unscaled
- The value of delta before scaling.
-
- \param scale
- The scaling to be applied to \p unscaled.
- */
- static Delta compute_delta(unsigned long unscaled, unsigned scale);
-
- //! Sets \p threshold to be \p delta units bigger than the current weight.
- static void from_delta(Threshold& threshold, const Delta& delta);
-
- //! The current computational weight.
- static Threshold weight;
-
- /*! \brief
- A pointer to the function that has to be called when checking
- the reaching of thresholds.
-
- The pointer can be null if no thresholds are set.
- */
- static void (*check_function)(void);
-};
-
-
-#ifndef NDEBUG
-
-class In_Assert {
-private:
- //! Non zero during evaluation of PPL_ASSERT expression.
- static unsigned int count;
-public:
- In_Assert() {
- ++count;
- }
- ~In_Assert() {
- --count;
- }
- static bool asserting() {
- return count != 0;
- }
-};
-
-#endif
-
-
-//! User objects the PPL can throw.
-/*! \ingroup PPL_CXX_interface
- This abstract base class should be instantiated by those users
- willing to provide a polynomial upper bound to the time spent
- by any invocation of a library operator.
-*/
-class Throwable {
-public:
- //! Throws the user defined exception object.
- virtual void throw_me() const = 0;
-
- //! Virtual destructor.
- virtual ~Throwable();
-};
-
-/*! \brief
- A pointer to an exception object.
-
- \ingroup PPL_CXX_interface
- This pointer, which is initialized to zero, is repeatedly checked
- along any super-linear (i.e., computationally expensive) computation
- path in the library.
- When it is found nonzero the exception it points to is thrown.
- In other words, making this pointer point to an exception (and
- leaving it in this state) ensures that the library will return
- control to the client application, possibly by throwing the given
- exception, within a time that is a linear function of the size
- of the representation of the biggest object (powerset of polyhedra,
- polyhedron, system of constraints or generators) on which the library
- is operating upon.
-
- \note
- The only sensible way to assign to this pointer is from within a
- signal handler or from a parallel thread. For this reason, the
- library, apart from ensuring that the pointer is initially set to zero,
- never assigns to it. In particular, it does not zero it again when
- the exception is thrown: it is the client's responsibility to do so.
-*/
-extern const Throwable* volatile abandon_expensive_computations;
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- If the pointer abandon_expensive_computations is found
- to be nonzero, the exception it points to is thrown.
-
- \relates Throwable
-*/
-#endif
-void
-maybe_abandon();
-
-//! A tag class.
-/*! \ingroup PPL_CXX_interface
- Tag class to distinguish those constructors that recycle the data
- structures of their arguments, instead of taking a copy.
-*/
-struct Recycle_Input {
-};
-
-// Turn s into a string: PPL_STR(x + y) => "x + y".
-#define PPL_STR(s) #s
-// Turn the expansion of s into a string: PPL_XSTR(x) => "x expanded".
-#define PPL_XSTR(s) PPL_STR(s)
-
-#define PPL_OUTPUT_DECLARATIONS \
- /*! \brief Writes to \c std::cerr an ASCII representation of \p *this. */ \
- void ascii_dump() const; \
- /*! \brief Writes to \p s an ASCII representation of \p *this. */ \
- void ascii_dump(std::ostream& s) const; \
- /*! \brief Prints \p *this to \c std::cerr using \c operator<<. */ \
- void print() const;
-
-#define PPL_OUTPUT_DEFINITIONS(class_name) \
- void \
- Parma_Polyhedra_Library::class_name::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- void \
- Parma_Polyhedra_Library::class_name::print() const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
- }
-
-#define PPL_OUTPUT_DEFINITIONS_ASCII_ONLY(class_name) \
- void \
- Parma_Polyhedra_Library::class_name::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- void \
- Parma_Polyhedra_Library::class_name::print() const { \
- std::cerr << "No user level output operator defined " \
- << "for class " PPL_XSTR(class_name) << "." << std::endl; \
- }
-
-#define PPL_OUTPUT_TEMPLATE_DEFINITIONS(type_symbol, class_prefix) \
- template <typename type_symbol> \
- void \
- class_prefix::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol> \
- void \
- class_prefix::print() const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
- }
-
-#define PPL_OUTPUT_2_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
- type_symbol2, \
- class_prefix) \
- template <typename type_symbol1, typename type_symbol2> \
- void \
- PPL_U(class_prefix)<PPL_U(type_symbol1), PPL_U(type_symbol2)> \
- ::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol1, typename type_symbol2> \
- void \
- PPL_U(class_prefix)<PPL_U(type_symbol1), PPL_U(type_symbol2)> \
- ::print() const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
- }
-
-#define PPL_OUTPUT_3_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
- type_symbol2, \
- type_symbol3, \
- class_prefix) \
- template <typename type_symbol1, typename type_symbol2, \
- typename type_symbol3> \
- void \
- PPL_U(class_prefix)<PPL_U(type_symbol1), type_symbol2, \
- PPL_U(type_symbol3)>::ascii_dump() \
- const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol1, typename type_symbol2, \
- typename type_symbol3> \
- void \
- PPL_U(class_prefix)<PPL_U(type_symbol1), type_symbol2, \
- PPL_U(type_symbol3)>::print() \
- const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
- }
-
-#define PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(type_symbol, class_prefix) \
- template <typename type_symbol> \
- void \
- class_prefix::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol> \
- void \
- class_prefix::print() const { \
- std::cerr << "No user level output operator defined " \
- << "for " PPL_XSTR(class_prefix) << "." << std::endl; \
- }
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if \p c is any kind of space character.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool is_space(char c);
-
-template <typename T, long long v, typename Enable = void>
-struct Fit : public False {
-};
-
-template <typename T, long long v>
-struct Fit<T, v, typename Enable_If<C_Integer<T>::value>::type> {
- enum {
- value = (v >= static_cast<long long>(C_Integer<T>::min)
- && v <= static_cast<long long>(C_Integer<T>::max))
- };
-};
-
-template <typename T, T v>
-struct TConstant {
- static const T value = v;
-};
-
-
-template <typename T, T v>
-const T TConstant<T, v>::value;
-
-template <typename T, long long v, bool prefer_signed = true,
- typename Enable = void>
-struct Constant_ : public TConstant<T, v> {
-};
-
-template <typename T, long long v, bool prefer_signed>
-struct Constant_<T, v, prefer_signed,
- typename Enable_If<(Fit<typename C_Integer<T>::smaller_signed_type, v>::value
- && (prefer_signed
- || !Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value))>::type>
- : public Constant_<typename C_Integer<T>::smaller_signed_type, v, prefer_signed> {
-};
-
-template <typename T, long long v, bool prefer_signed>
-struct Constant_<T, v, prefer_signed,
- typename Enable_If<(Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value
- && (!prefer_signed
- || !Fit<typename C_Integer<T>::smaller_signed_type, v>::value))>::type>
- : public Constant_<typename C_Integer<T>::smaller_unsigned_type, v, prefer_signed> {
-};
-
-template <long long v, bool prefer_signed = true>
-struct Constant : public Constant_<long long, v, prefer_signed> {
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! \name Memory Size Inspection Functions
-//@{
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- For native types, returns the total size in bytes of the memory
- occupied by the type of the (unused) parameter, i.e., 0.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-typename Enable_If<Is_Native<T>::value, memory_size_type>::type
-total_memory_in_bytes(const T&);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- For native types, returns the size in bytes of the memory managed
- by the type of the (unused) parameter, i.e., 0.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-typename Enable_If<Is_Native<T>::value, memory_size_type>::type
-external_memory_in_bytes(const T&);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the total size in bytes of the memory occupied by \p x.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-memory_size_type
-total_memory_in_bytes(const mpz_class& x);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the size in bytes of the memory managed by \p x.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-memory_size_type
-external_memory_in_bytes(const mpz_class& x);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the total size in bytes of the memory occupied by \p x.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-memory_size_type
-total_memory_in_bytes(const mpq_class& x);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns the size in bytes of the memory managed by \p x.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-memory_size_type
-external_memory_in_bytes(const mpq_class& x);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//@} // Memory Size Inspection Functions
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-
-
-template <typename T, typename Enable = void>
-struct Has_OK : public False { };
-
-template <typename T>
-struct Has_OK<T, typename Enable_If_Is<bool (T::*)() const, &T::OK>::type>
- : public True {
-};
-
-template <typename T>
-inline typename Enable_If<Has_OK<T>::value, bool>::type
-f_OK(const T& to) {
- return to.OK();
-}
-
-#define FOK(T) inline bool f_OK(const T&) { return true; }
-
-FOK(char)
-FOK(signed char)
-FOK(unsigned char)
-FOK(signed short)
-FOK(unsigned short)
-FOK(signed int)
-FOK(unsigned int)
-FOK(signed long)
-FOK(unsigned long)
-FOK(signed long long)
-FOK(unsigned long long)
-FOK(float)
-FOK(double)
-FOK(long double)
-FOK(mpz_class)
-FOK(mpq_class)
-
-void ascii_dump(std::ostream& s, Representation r);
-bool ascii_load(std::istream& s, Representation& r);
-
-dimension_type
-check_space_dimension_overflow(dimension_type dim,
- dimension_type max,
- const char* domain,
- const char* method,
- const char* reason);
-
-template <typename RA_Container>
-typename RA_Container::iterator
-nth_iter(RA_Container& cont, dimension_type n);
-
-template <typename RA_Container>
-typename RA_Container::const_iterator
-nth_iter(const RA_Container& cont, dimension_type n);
-
-dimension_type
-least_significant_one_mask(dimension_type i);
-
-} // namespace Parma_Polyhedra_Library
-
-// By default, use sparse matrices both for MIP_Problem and PIP_Problem.
-#ifndef PPL_USE_SPARSE_MATRIX
-#define PPL_USE_SPARSE_MATRIX 1
-#endif
-
-#ifndef PPL_PROFILE_ADD_WEIGHT
-#define PPL_PROFILE_ADD_WEIGHT 0
-#endif
-
-#if defined(NDEBUG) && PPL_PROFILE_ADD_WEIGHT
-#include "Weight_Profiler.defs.hh"
-#endif
-
-#if defined(NDEBUG)
-#if PPL_PROFILE_ADD_WEIGHT
-#define WEIGHT_BEGIN() Weight_Profiler::begin()
-#define WEIGHT_ADD(delta) \
- do { \
- static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
- wp__.end(); \
- } while (false)
-#define WEIGHT_ADD_MUL(delta, factor) \
- do { \
- static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
- wp__.end(factor); \
- } while (false)
-#else
-#define WEIGHT_BEGIN() \
- do { \
- } while (false)
-#define WEIGHT_ADD(delta) \
- do { \
- Weightwatch_Traits::weight += (delta); \
- } while (false)
-#define WEIGHT_ADD_MUL(delta, factor) \
- do { \
- Weightwatch_Traits::weight += (delta)*(factor); \
- } while (false)
-#endif
-#else
-#define WEIGHT_BEGIN()
-#define WEIGHT_ADD(delta) \
- do { \
- if (!In_Assert::asserting()) \
- Weightwatch_Traits::weight += delta; \
- } while (false)
-#define WEIGHT_ADD_MUL(delta, factor) \
- do { \
- if (!In_Assert::asserting()) \
- Weightwatch_Traits::weight += delta * factor; \
- } while (false)
-#endif
-
-#include "globals.inlines.hh"
-
-#endif // !defined(PPL_globals_defs_hh)
diff --git a/src/globals.inlines.hh b/src/globals.inlines.hh
deleted file mode 100644
index 8250d63..0000000
--- a/src/globals.inlines.hh
+++ /dev/null
@@ -1,190 +0,0 @@
-/* Implementation of global objects: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_globals_inlines_hh
-#define PPL_globals_inlines_hh 1
-
-#include "compiler.hh"
-#include <limits>
-#include <cassert>
-#include <istream>
-#include <ostream>
-#include <cctype>
-#include <stdexcept>
-
-namespace Parma_Polyhedra_Library {
-
-inline dimension_type
-not_a_dimension() {
- return std::numeric_limits<dimension_type>::max();
-}
-
-inline int32_t
-hash_code_from_dimension(dimension_type dim) {
- const dimension_type divisor = 1U << (32 - 1);
- dim = dim % divisor;
- return static_cast<int32_t>(dim);
-}
-
-inline const Weightwatch_Traits::Threshold&
-Weightwatch_Traits::get() {
- return weight;
-}
-
-inline bool
-Weightwatch_Traits::less_than(const Threshold& a, const Threshold& b) {
- return b - a < (1ULL << (sizeof_to_bits(sizeof(Threshold)) - 1));
-}
-
-inline Weightwatch_Traits::Delta
-Weightwatch_Traits::compute_delta(unsigned long unscaled, unsigned scale) {
- if ((std::numeric_limits<Delta>::max() >> scale) < unscaled)
- throw std::invalid_argument("PPL::Weightwatch_Traits::"
- "compute_delta(u, s):\n"
- "values of u and s cause wrap around.");
- return static_cast<Delta>(unscaled) << scale;
-}
-
-inline void
-Weightwatch_Traits::from_delta(Threshold& threshold, const Delta& delta) {
- threshold = weight + delta;
-}
-
-inline
-Throwable::~Throwable() {
-}
-
-inline void
-maybe_abandon() {
-#ifndef NDEBUG
- if (In_Assert::asserting())
- return;
-#endif
- if (Weightwatch_Traits::check_function != 0)
- Weightwatch_Traits::check_function();
- if (const Throwable* p = abandon_expensive_computations)
- p->throw_me();
-}
-
-inline dimension_type
-compute_capacity(const dimension_type requested_size,
- const dimension_type maximum_size) {
- assert(requested_size <= maximum_size);
- // Speculation factor 2.
- return (requested_size < maximum_size/2)
- ? (2*(requested_size + 1))
- : maximum_size;
- // Speculation factor 1.5.
- // return (maximum_size - requested_size > requested_size/2)
- // ? requested_size + requested_size/2 + 1
- // : maximum_size;
-}
-
-template <typename T>
-inline typename
-Enable_If<Is_Native<T>::value, memory_size_type>::type
-external_memory_in_bytes(const T&) {
- return 0;
-}
-
-template <typename T>
-inline typename
-Enable_If<Is_Native<T>::value, memory_size_type>::type
-total_memory_in_bytes(const T&) {
- return sizeof(T);
-}
-
-inline memory_size_type
-external_memory_in_bytes(const mpz_class& x) {
- return static_cast<memory_size_type>(x.get_mpz_t()[0]._mp_alloc)
- * PPL_SIZEOF_MP_LIMB_T;
-}
-
-inline memory_size_type
-total_memory_in_bytes(const mpz_class& x) {
- return sizeof(x) + external_memory_in_bytes(x);
-}
-
-inline memory_size_type
-external_memory_in_bytes(const mpq_class& x) {
- return external_memory_in_bytes(x.get_num())
- + external_memory_in_bytes(x.get_den());
-}
-
-inline memory_size_type
-total_memory_in_bytes(const mpq_class& x) {
- return sizeof(x) + external_memory_in_bytes(x);
-}
-
-inline void
-ascii_dump(std::ostream& s, Representation r) {
- if (r == DENSE)
- s << "DENSE";
- else
- s << "SPARSE";
-}
-
-inline bool
-ascii_load(std::istream& is, Representation& r) {
- std::string s;
- if (!(is >> s))
- return false;
-
- if (s == "DENSE") {
- r = DENSE;
- return true;
- }
- if (s == "SPARSE") {
- r = SPARSE;
- return true;
- }
- return false;
-}
-
-inline bool
-is_space(char c) {
- return isspace(c) != 0;
-}
-
-template <typename RA_Container>
-inline typename RA_Container::iterator
-nth_iter(RA_Container& cont, dimension_type n) {
- typedef typename RA_Container::difference_type diff_t;
- return cont.begin() + static_cast<diff_t>(n);
-}
-
-template <typename RA_Container>
-inline typename RA_Container::const_iterator
-nth_iter(const RA_Container& cont, dimension_type n) {
- typedef typename RA_Container::difference_type diff_t;
- return cont.begin() + static_cast<diff_t>(n);
-}
-
-inline dimension_type
-least_significant_one_mask(const dimension_type i) {
- return i & (~i + 1U);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_globals_inlines_hh)
diff --git a/src/globals.types.hh b/src/globals.types.hh
deleted file mode 100644
index 41aa345..0000000
--- a/src/globals.types.hh
+++ /dev/null
@@ -1,214 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_globals_types_hh
-#define PPL_globals_types_hh 1
-
-#include <cstddef>
-
-namespace Parma_Polyhedra_Library {
-
-//! An unsigned integral type for representing space dimensions.
-/*! \ingroup PPL_CXX_interface */
-typedef size_t dimension_type;
-
-//! An unsigned integral type for representing memory size in bytes.
-/*! \ingroup PPL_CXX_interface */
-typedef size_t memory_size_type;
-
-//! Kinds of degenerate abstract elements.
-/*! \ingroup PPL_CXX_interface */
-enum Degenerate_Element {
- //! The universe element, i.e., the whole vector space.
- UNIVERSE,
- //! The empty element, i.e., the empty set.
- EMPTY
-};
-
-//! Relation symbols.
-/*! \ingroup PPL_CXX_interface */
-// This must be kept in sync with Result
-enum Relation_Symbol {
- //! \hideinitializer Equal to.
- EQUAL = 1U,
- //! \hideinitializer Less than.
- LESS_THAN = 2U,
- //! \hideinitializer Less than or equal to.
- LESS_OR_EQUAL = LESS_THAN | EQUAL,
- //! \hideinitializer Greater than.
- GREATER_THAN = 4U,
- //! \hideinitializer Greater than or equal to.
- GREATER_OR_EQUAL = GREATER_THAN | EQUAL,
- //! \hideinitializer Not equal to.
- NOT_EQUAL = LESS_THAN | GREATER_THAN
-};
-
-//! Complexity pseudo-classes.
-/*! \ingroup PPL_CXX_interface */
-enum Complexity_Class {
- //! Worst-case polynomial complexity.
- POLYNOMIAL_COMPLEXITY,
- //! Worst-case exponential complexity but typically polynomial behavior.
- SIMPLEX_COMPLEXITY,
- //! Any complexity.
- ANY_COMPLEXITY
-};
-
-//! Possible optimization modes.
-/*! \ingroup PPL_CXX_interface */
-enum Optimization_Mode {
- //! Minimization is requested.
- MINIMIZATION,
- //! Maximization is requested.
- MAXIMIZATION
-};
-
-/*! \brief \ingroup PPL_CXX_interface
- Widths of bounded integer types.
-
- See the section on
- \ref Approximating_Bounded_Integers "approximating bounded integers".
-*/
-enum Bounded_Integer_Type_Width {
- //! \hideinitializer 8 bits.
- BITS_8 = 8,
-
- //! \hideinitializer 16 bits.
- BITS_16 = 16,
-
- //! \hideinitializer 32 bits.
- BITS_32 = 32,
-
- //! \hideinitializer 64 bits.
- BITS_64 = 64,
-
- //! \hideinitializer 128 bits.
- BITS_128 = 128
-};
-
-/*! \brief \ingroup PPL_CXX_interface
- Representation of bounded integer types.
-
- See the section on
- \ref Approximating_Bounded_Integers "approximating bounded integers".
-*/
-enum Bounded_Integer_Type_Representation {
- //! Unsigned binary.
- UNSIGNED,
-
- /*! \brief
- Signed binary where negative values are represented by the two's
- complement of the absolute value.
- */
- SIGNED_2_COMPLEMENT
-};
-
-/*! \brief \ingroup PPL_CXX_interface
- Overflow behavior of bounded integer types.
-
- See the section on
- \ref Approximating_Bounded_Integers "approximating bounded integers".
-*/
-enum Bounded_Integer_Type_Overflow {
- /*! \brief
- On overflow, wrapping takes place.
-
- This means that, for a \f$w\f$-bit bounded integer, the computation
- happens modulo \f$2^w\f$.
- */
- OVERFLOW_WRAPS,
-
- /*! \brief
- On overflow, the result is undefined.
-
- This simply means that the result of the operation resulting in an
- overflow can take any value.
-
- \note
- Even though something more serious can happen in the system
- being analyzed ---due to, e.g., C's undefined behavior---, here we
- are only concerned with the results of arithmetic operations.
- It is the responsibility of the analyzer to ensure that other
- manifestations of undefined behavior are conservatively approximated.
- */
- OVERFLOW_UNDEFINED,
-
- /*! \brief
- Overflow is impossible.
-
- This is for the analysis of languages where overflow is trapped
- before it affects the state, for which, thus, any indication that
- an overflow may have affected the state is necessarily due to
- the imprecision of the analysis.
- */
- OVERFLOW_IMPOSSIBLE
-};
-
-/*! \brief \ingroup PPL_CXX_interface
- Possible representations of coefficient sequences (i.e. linear expressions
- and more complex objects containing linear expressions, e.g. Constraints,
- Generators, etc.).
-*/
-enum Representation {
- /*! \brief
- Dense representation: the coefficient sequence is represented as a vector
- of coefficients, including the zero coefficients.
- If there are only a few nonzero coefficients, this representation is
- faster and also uses a bit less memory.
- */
- DENSE,
-
- /*! \brief
- Sparse representation: only the nonzero coefficient are stored.
- If there are many nonzero coefficients, this improves memory consumption
- and run time (both because there is less data to process in O(n)
- operations and because finding zeroes/nonzeroes is much faster since
- zeroes are not stored at all, so any stored coefficient is nonzero).
- */
- SPARSE
-};
-
-/*! \brief \ingroup PPL_CXX_interface
- Floating point formats known to the library.
-
- The parameters of each format are defined by a specific struct
- in file Float.defs.hh. See the section on \ref floating_point
- "Analysis of floating point computations" for more information.
-*/
-enum Floating_Point_Format {
- //! IEEE 754 half precision, 16 bits (5 exponent, 10 mantissa).
- IEEE754_HALF,
-
- //! IEEE 754 single precision, 32 bits (8 exponent, 23 mantissa).
- IEEE754_SINGLE,
-
- //! IEEE 754 double precision, 64 bits (11 exponent, 52 mantissa).
- IEEE754_DOUBLE,
-
- //! IEEE 754 quad precision, 128 bits (15 exponent, 112 mantissa).
- IEEE754_QUAD,
-
- //! Intel double extended precision, 80 bits (15 exponent, 64 mantissa)
- INTEL_DOUBLE_EXTENDED,
-
- //! IBM single precision, 32 bits (7 exponent, 24 mantissa).
- IBM_SINGLE,
-
- //! IBM double precision, 64 bits (7 exponent, 56 mantissa).
- IBM_DOUBLE
-};
-
-struct Weightwatch_Traits;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_globals_types_hh)
diff --git a/src/globals_defs.hh b/src/globals_defs.hh
new file mode 100644
index 0000000..9ac1915
--- /dev/null
+++ b/src/globals_defs.hh
@@ -0,0 +1,564 @@
+/* Declarations of global objects.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_globals_defs_hh
+#define PPL_globals_defs_hh 1
+
+#include "globals_types.hh"
+#include "C_Integer.hh"
+#include "meta_programming.hh"
+#include "Slow_Copy.hh"
+#include "Temp_defs.hh"
+#include <exception>
+#include <gmpxx.h>
+
+#ifndef PPL_PROFILE_ADD_WEIGHT
+#define PPL_PROFILE_ADD_WEIGHT 0
+#endif
+
+#if defined(NDEBUG) && PPL_PROFILE_ADD_WEIGHT
+#include "Weight_Profiler_defs.hh"
+#endif
+
+#if defined(NDEBUG)
+
+#if PPL_PROFILE_ADD_WEIGHT
+
+#define WEIGHT_BEGIN() Weight_Profiler::begin()
+
+#define WEIGHT_ADD(delta) \
+ do { \
+ static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
+ wp__.end(); \
+ } while (false)
+
+#define WEIGHT_ADD_MUL(delta, factor) \
+ do { \
+ static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
+ wp__.end(factor); \
+ } while (false)
+
+#else // !PPL_PROFILE_ADD_WEIGHT
+
+#define WEIGHT_BEGIN() \
+ do { \
+ } while (false)
+
+#define WEIGHT_ADD(delta) \
+ do { \
+ Weightwatch_Traits::weight += (delta); \
+ } while (false)
+
+#define WEIGHT_ADD_MUL(delta, factor) \
+ do { \
+ Weightwatch_Traits::weight += (delta)*(factor); \
+ } while (false)
+
+#endif // !PPL_PROFILE_ADD_WEIGHT
+
+#else // !defined(NDEBUG)
+
+#define WEIGHT_BEGIN()
+
+#define WEIGHT_ADD(delta) \
+ do { \
+ if (!In_Assert::asserting()) \
+ Weightwatch_Traits::weight += delta; \
+ } while (false)
+
+#define WEIGHT_ADD_MUL(delta, factor) \
+ do { \
+ if (!In_Assert::asserting()) \
+ Weightwatch_Traits::weight += delta * factor; \
+ } while (false)
+
+#endif // !defined(NDEBUG)
+
+
+namespace Parma_Polyhedra_Library {
+
+//! Returns a value that does not designate a valid dimension.
+dimension_type
+not_a_dimension();
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the hash code for space dimension \p dim.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+int32_t
+hash_code_from_dimension(dimension_type dim);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Make sure swap() is specialized when needed.
+
+ This will cause a compile-time error whenever a specialization for \p T
+ is beneficial but missing.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+inline typename Enable_If<Slow_Copy<T>::value, void>::type
+swap(T&, T&) {
+ PPL_COMPILE_TIME_CHECK(!Slow_Copy<T>::value, "missing swap specialization");
+}
+
+/*! \brief
+ Declare a local variable named \p id, of type Coefficient, and containing
+ an unknown initial value.
+
+ Use of this macro to declare temporaries of type Coefficient results
+ in decreased memory allocation overhead and in better locality.
+*/
+#define PPL_DIRTY_TEMP_COEFFICIENT(id) \
+PPL_DIRTY_TEMP(Parma_Polyhedra_Library::Coefficient, id)
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Speculative allocation function.
+/*!
+ \return
+ The actual capacity to be allocated.
+
+ \param requested_size
+ The number of elements we need.
+
+ \param maximum_size
+ The maximum number of elements to be allocated. It is assumed
+ to be no less than \p requested_size.
+
+ Computes a capacity given a requested size.
+ Allows for speculative allocation aimed at reducing the number of
+ reallocations enough to guarantee amortized constant insertion time
+ for our vector-like data structures. In all cases, the speculative
+ allocation will not exceed \p maximum_size.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+dimension_type
+compute_capacity(dimension_type requested_size,
+ dimension_type maximum_size);
+
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Traits class for the deterministic timeout mechanism.
+/*! \ingroup PPL_CXX_interface
+ This abstract base class should be instantiated by those users
+ willing to provide a polynomial upper bound to the time spent
+ by any invocation of a library operator.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+struct Weightwatch_Traits {
+ //! The type used to specify thresholds for computational weight.
+ typedef unsigned long long Threshold;
+
+ //! The type used to specify increments of computational weight.
+ typedef unsigned long long Delta;
+
+ //! Returns the current computational weight.
+ static const Threshold& get();
+
+ //! Compares the two weights \p a and \p b.
+ static bool less_than(const Threshold& a, const Threshold& b);
+
+ //! Computes a \c Delta value from \p unscaled and \p scale.
+ /*!
+ \return
+ \f$u \cdot 2^s\f$, where \f$u\f$ is the value of \p unscaled and
+ \f$s\f$ is the value of \p scale.
+
+ \param unscaled
+ The value of delta before scaling.
+
+ \param scale
+ The scaling to be applied to \p unscaled.
+ */
+ static Delta compute_delta(unsigned long unscaled, unsigned scale);
+
+ //! Sets \p threshold to be \p delta units bigger than the current weight.
+ static void from_delta(Threshold& threshold, const Delta& delta);
+
+ //! The current computational weight.
+ static Threshold weight;
+
+ /*! \brief
+ A pointer to the function that has to be called when checking
+ the reaching of thresholds.
+
+ The pointer can be null if no thresholds are set.
+ */
+ static void (*check_function)(void);
+};
+
+
+#ifndef NDEBUG
+
+class In_Assert {
+private:
+ //! Non zero during evaluation of PPL_ASSERT expression.
+ static unsigned int count;
+public:
+ In_Assert() {
+ ++count;
+ }
+ ~In_Assert() {
+ --count;
+ }
+ static bool asserting() {
+ return count != 0;
+ }
+};
+
+#endif
+
+
+//! User objects the PPL can throw.
+/*! \ingroup PPL_CXX_interface
+ This abstract base class should be instantiated by those users
+ willing to provide a polynomial upper bound to the time spent
+ by any invocation of a library operator.
+*/
+class Throwable {
+public:
+ //! Throws the user defined exception object.
+ virtual void throw_me() const = 0;
+
+ //! Virtual destructor.
+ virtual ~Throwable();
+};
+
+/*! \brief
+ A pointer to an exception object.
+
+ \ingroup PPL_CXX_interface
+ This pointer, which is initialized to zero, is repeatedly checked
+ along any super-linear (i.e., computationally expensive) computation
+ path in the library.
+ When it is found nonzero the exception it points to is thrown.
+ In other words, making this pointer point to an exception (and
+ leaving it in this state) ensures that the library will return
+ control to the client application, possibly by throwing the given
+ exception, within a time that is a linear function of the size
+ of the representation of the biggest object (powerset of polyhedra,
+ polyhedron, system of constraints or generators) on which the library
+ is operating upon.
+
+ \note
+ The only sensible way to assign to this pointer is from within a
+ signal handler or from a parallel thread. For this reason, the
+ library, apart from ensuring that the pointer is initially set to zero,
+ never assigns to it. In particular, it does not zero it again when
+ the exception is thrown: it is the client's responsibility to do so.
+*/
+extern const Throwable* volatile abandon_expensive_computations;
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ If the pointer abandon_expensive_computations is found
+ to be nonzero, the exception it points to is thrown.
+
+ \relates Throwable
+*/
+#endif
+void
+maybe_abandon();
+
+//! A tag class.
+/*! \ingroup PPL_CXX_interface
+ Tag class to distinguish those constructors that recycle the data
+ structures of their arguments, instead of taking a copy.
+*/
+struct Recycle_Input {
+};
+
+// Turn s into a string: PPL_STR(x + y) => "x + y".
+#define PPL_STR(s) #s
+// Turn the expansion of s into a string: PPL_XSTR(x) => "x expanded".
+#define PPL_XSTR(s) PPL_STR(s)
+
+#define PPL_OUTPUT_DECLARATIONS \
+ /*! \brief Writes to \c std::cerr an ASCII representation of \p *this. */ \
+ void ascii_dump() const; \
+ /*! \brief Writes to \p s an ASCII representation of \p *this. */ \
+ void ascii_dump(std::ostream& s) const; \
+ /*! \brief Prints \p *this to \c std::cerr using \c operator<<. */ \
+ void print() const;
+
+#define PPL_OUTPUT_DEFINITIONS(class_name) \
+ void \
+ Parma_Polyhedra_Library::class_name::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ void \
+ Parma_Polyhedra_Library::class_name::print() const { \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
+ }
+
+#define PPL_OUTPUT_DEFINITIONS_ASCII_ONLY(class_name) \
+ void \
+ Parma_Polyhedra_Library::class_name::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ void \
+ Parma_Polyhedra_Library::class_name::print() const { \
+ std::cerr << "No user level output operator defined " \
+ << "for class " PPL_XSTR(class_name) << "." << std::endl; \
+ }
+
+#define PPL_OUTPUT_TEMPLATE_DEFINITIONS(type_symbol, class_prefix) \
+ template <typename type_symbol> \
+ void \
+ class_prefix::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol> \
+ void \
+ class_prefix::print() const { \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
+ }
+
+#define PPL_OUTPUT_2_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
+ type_symbol2, \
+ class_prefix) \
+ template <typename type_symbol1, typename type_symbol2> \
+ void \
+ PPL_U(class_prefix)<PPL_U(type_symbol1), PPL_U(type_symbol2)> \
+ ::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol1, typename type_symbol2> \
+ void \
+ PPL_U(class_prefix)<PPL_U(type_symbol1), PPL_U(type_symbol2)> \
+ ::print() const { \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
+ }
+
+#define PPL_OUTPUT_3_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
+ type_symbol2, \
+ type_symbol3, \
+ class_prefix) \
+ template <typename type_symbol1, typename type_symbol2, \
+ typename type_symbol3> \
+ void \
+ PPL_U(class_prefix)<PPL_U(type_symbol1), type_symbol2, \
+ PPL_U(type_symbol3)>::ascii_dump() \
+ const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol1, typename type_symbol2, \
+ typename type_symbol3> \
+ void \
+ PPL_U(class_prefix)<PPL_U(type_symbol1), type_symbol2, \
+ PPL_U(type_symbol3)>::print() \
+ const { \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
+ }
+
+#define PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(type_symbol, class_prefix) \
+ template <typename type_symbol> \
+ void \
+ class_prefix::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol> \
+ void \
+ class_prefix::print() const { \
+ std::cerr << "No user level output operator defined " \
+ << "for " PPL_XSTR(class_prefix) << "." << std::endl; \
+ }
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if \p c is any kind of space character.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool is_space(char c);
+
+template <typename T, long long v, typename Enable = void>
+struct Fit : public False {
+};
+
+template <typename T, long long v>
+struct Fit<T, v, typename Enable_If<C_Integer<T>::value>::type> {
+ enum {
+ value = (v >= static_cast<long long>(C_Integer<T>::min)
+ && v <= static_cast<long long>(C_Integer<T>::max))
+ };
+};
+
+template <typename T, T v>
+struct TConstant {
+ static const T value = v;
+};
+
+
+template <typename T, T v>
+const T TConstant<T, v>::value;
+
+template <typename T, long long v, bool prefer_signed = true,
+ typename Enable = void>
+struct Constant_ : public TConstant<T, v> {
+};
+
+template <typename T, long long v, bool prefer_signed>
+struct Constant_<T, v, prefer_signed,
+ typename Enable_If<(Fit<typename C_Integer<T>::smaller_signed_type, v>::value
+ && (prefer_signed
+ || !Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value))>::type>
+ : public Constant_<typename C_Integer<T>::smaller_signed_type, v, prefer_signed> {
+};
+
+template <typename T, long long v, bool prefer_signed>
+struct Constant_<T, v, prefer_signed,
+ typename Enable_If<(Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value
+ && (!prefer_signed
+ || !Fit<typename C_Integer<T>::smaller_signed_type, v>::value))>::type>
+ : public Constant_<typename C_Integer<T>::smaller_unsigned_type, v, prefer_signed> {
+};
+
+template <long long v, bool prefer_signed = true>
+struct Constant : public Constant_<long long, v, prefer_signed> {
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! \name Memory Size Inspection Functions
+//@{
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ For native types, returns the total size in bytes of the memory
+ occupied by the type of the (unused) parameter, i.e., 0.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+typename Enable_If<Is_Native<T>::value, memory_size_type>::type
+total_memory_in_bytes(const T&);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ For native types, returns the size in bytes of the memory managed
+ by the type of the (unused) parameter, i.e., 0.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+typename Enable_If<Is_Native<T>::value, memory_size_type>::type
+external_memory_in_bytes(const T&);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the total size in bytes of the memory occupied by \p x.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+memory_size_type
+total_memory_in_bytes(const mpz_class& x);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the size in bytes of the memory managed by \p x.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+memory_size_type
+external_memory_in_bytes(const mpz_class& x);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the total size in bytes of the memory occupied by \p x.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+memory_size_type
+total_memory_in_bytes(const mpq_class& x);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns the size in bytes of the memory managed by \p x.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+memory_size_type
+external_memory_in_bytes(const mpq_class& x);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//@} // Memory Size Inspection Functions
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+
+
+template <typename T, typename Enable = void>
+struct Has_OK : public False { };
+
+template <typename T>
+struct Has_OK<T, typename Enable_If_Is<bool (T::*)() const, &T::OK>::type>
+ : public True {
+};
+
+template <typename T>
+inline typename Enable_If<Has_OK<T>::value, bool>::type
+f_OK(const T& to) {
+ return to.OK();
+}
+
+#define FOK(T) inline bool f_OK(const T&) { return true; }
+
+FOK(char)
+FOK(signed char)
+FOK(unsigned char)
+FOK(signed short)
+FOK(unsigned short)
+FOK(signed int)
+FOK(unsigned int)
+FOK(signed long)
+FOK(unsigned long)
+FOK(signed long long)
+FOK(unsigned long long)
+FOK(float)
+FOK(double)
+FOK(long double)
+FOK(mpz_class)
+FOK(mpq_class)
+
+void ascii_dump(std::ostream& s, Representation r);
+bool ascii_load(std::istream& s, Representation& r);
+
+dimension_type
+check_space_dimension_overflow(dimension_type dim,
+ dimension_type max,
+ const char* domain,
+ const char* method,
+ const char* reason);
+
+template <typename RA_Container>
+typename RA_Container::iterator
+nth_iter(RA_Container& cont, dimension_type n);
+
+template <typename RA_Container>
+typename RA_Container::const_iterator
+nth_iter(const RA_Container& cont, dimension_type n);
+
+dimension_type
+least_significant_one_mask(dimension_type i);
+
+} // namespace Parma_Polyhedra_Library
+
+// By default, use sparse matrices both for MIP_Problem and PIP_Problem.
+#ifndef PPL_USE_SPARSE_MATRIX
+#define PPL_USE_SPARSE_MATRIX 1
+#endif
+
+#include "globals_inlines.hh"
+
+#endif // !defined(PPL_globals_defs_hh)
diff --git a/src/globals_inlines.hh b/src/globals_inlines.hh
new file mode 100644
index 0000000..7aabcf0
--- /dev/null
+++ b/src/globals_inlines.hh
@@ -0,0 +1,190 @@
+/* Implementation of global objects: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_globals_inlines_hh
+#define PPL_globals_inlines_hh 1
+
+#include "compiler.hh"
+#include <limits>
+#include <cassert>
+#include <istream>
+#include <ostream>
+#include <cctype>
+#include <stdexcept>
+
+namespace Parma_Polyhedra_Library {
+
+inline dimension_type
+not_a_dimension() {
+ return std::numeric_limits<dimension_type>::max();
+}
+
+inline int32_t
+hash_code_from_dimension(dimension_type dim) {
+ const dimension_type divisor = 1U << (32 - 1);
+ dim = dim % divisor;
+ return static_cast<int32_t>(dim);
+}
+
+inline const Weightwatch_Traits::Threshold&
+Weightwatch_Traits::get() {
+ return weight;
+}
+
+inline bool
+Weightwatch_Traits::less_than(const Threshold& a, const Threshold& b) {
+ return b - a < (1ULL << (sizeof_to_bits(sizeof(Threshold)) - 1));
+}
+
+inline Weightwatch_Traits::Delta
+Weightwatch_Traits::compute_delta(unsigned long unscaled, unsigned scale) {
+ if ((std::numeric_limits<Delta>::max() >> scale) < unscaled)
+ throw std::invalid_argument("PPL::Weightwatch_Traits::"
+ "compute_delta(u, s):\n"
+ "values of u and s cause wrap around.");
+ return static_cast<Delta>(unscaled) << scale;
+}
+
+inline void
+Weightwatch_Traits::from_delta(Threshold& threshold, const Delta& delta) {
+ threshold = weight + delta;
+}
+
+inline
+Throwable::~Throwable() {
+}
+
+inline void
+maybe_abandon() {
+#ifndef NDEBUG
+ if (In_Assert::asserting())
+ return;
+#endif
+ if (Weightwatch_Traits::check_function != 0)
+ Weightwatch_Traits::check_function();
+ if (const Throwable* const p = abandon_expensive_computations)
+ p->throw_me();
+}
+
+inline dimension_type
+compute_capacity(const dimension_type requested_size,
+ const dimension_type maximum_size) {
+ assert(requested_size <= maximum_size);
+ // Speculation factor 2.
+ return (requested_size < maximum_size/2)
+ ? (2*(requested_size + 1))
+ : maximum_size;
+ // Speculation factor 1.5.
+ // return (maximum_size - requested_size > requested_size/2)
+ // ? requested_size + requested_size/2 + 1
+ // : maximum_size;
+}
+
+template <typename T>
+inline typename
+Enable_If<Is_Native<T>::value, memory_size_type>::type
+external_memory_in_bytes(const T&) {
+ return 0;
+}
+
+template <typename T>
+inline typename
+Enable_If<Is_Native<T>::value, memory_size_type>::type
+total_memory_in_bytes(const T&) {
+ return sizeof(T);
+}
+
+inline memory_size_type
+external_memory_in_bytes(const mpz_class& x) {
+ return static_cast<memory_size_type>(x.get_mpz_t()[0]._mp_alloc)
+ * PPL_SIZEOF_MP_LIMB_T;
+}
+
+inline memory_size_type
+total_memory_in_bytes(const mpz_class& x) {
+ return sizeof(x) + external_memory_in_bytes(x);
+}
+
+inline memory_size_type
+external_memory_in_bytes(const mpq_class& x) {
+ return external_memory_in_bytes(x.get_num())
+ + external_memory_in_bytes(x.get_den());
+}
+
+inline memory_size_type
+total_memory_in_bytes(const mpq_class& x) {
+ return sizeof(x) + external_memory_in_bytes(x);
+}
+
+inline void
+ascii_dump(std::ostream& s, Representation r) {
+ if (r == DENSE)
+ s << "DENSE";
+ else
+ s << "SPARSE";
+}
+
+inline bool
+ascii_load(std::istream& is, Representation& r) {
+ std::string s;
+ if (!(is >> s))
+ return false;
+
+ if (s == "DENSE") {
+ r = DENSE;
+ return true;
+ }
+ if (s == "SPARSE") {
+ r = SPARSE;
+ return true;
+ }
+ return false;
+}
+
+inline bool
+is_space(char c) {
+ return isspace(c) != 0;
+}
+
+template <typename RA_Container>
+inline typename RA_Container::iterator
+nth_iter(RA_Container& cont, dimension_type n) {
+ typedef typename RA_Container::difference_type diff_t;
+ return cont.begin() + static_cast<diff_t>(n);
+}
+
+template <typename RA_Container>
+inline typename RA_Container::const_iterator
+nth_iter(const RA_Container& cont, dimension_type n) {
+ typedef typename RA_Container::difference_type diff_t;
+ return cont.begin() + static_cast<diff_t>(n);
+}
+
+inline dimension_type
+least_significant_one_mask(const dimension_type i) {
+ return i & (~i + 1U);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_globals_inlines_hh)
diff --git a/src/globals_types.hh b/src/globals_types.hh
new file mode 100644
index 0000000..687fa2d
--- /dev/null
+++ b/src/globals_types.hh
@@ -0,0 +1,214 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_globals_types_hh
+#define PPL_globals_types_hh 1
+
+#include <cstddef>
+
+namespace Parma_Polyhedra_Library {
+
+//! An unsigned integral type for representing space dimensions.
+/*! \ingroup PPL_CXX_interface */
+typedef size_t dimension_type;
+
+//! An unsigned integral type for representing memory size in bytes.
+/*! \ingroup PPL_CXX_interface */
+typedef size_t memory_size_type;
+
+//! Kinds of degenerate abstract elements.
+/*! \ingroup PPL_CXX_interface */
+enum Degenerate_Element {
+ //! The universe element, i.e., the whole vector space.
+ UNIVERSE,
+ //! The empty element, i.e., the empty set.
+ EMPTY
+};
+
+//! Relation symbols.
+/*! \ingroup PPL_CXX_interface */
+// This must be kept in sync with Result
+enum Relation_Symbol {
+ //! \hideinitializer Equal to.
+ EQUAL = 1U,
+ //! \hideinitializer Less than.
+ LESS_THAN = 2U,
+ //! \hideinitializer Less than or equal to.
+ LESS_OR_EQUAL = LESS_THAN | EQUAL,
+ //! \hideinitializer Greater than.
+ GREATER_THAN = 4U,
+ //! \hideinitializer Greater than or equal to.
+ GREATER_OR_EQUAL = GREATER_THAN | EQUAL,
+ //! \hideinitializer Not equal to.
+ NOT_EQUAL = LESS_THAN | GREATER_THAN
+};
+
+//! Complexity pseudo-classes.
+/*! \ingroup PPL_CXX_interface */
+enum Complexity_Class {
+ //! Worst-case polynomial complexity.
+ POLYNOMIAL_COMPLEXITY,
+ //! Worst-case exponential complexity but typically polynomial behavior.
+ SIMPLEX_COMPLEXITY,
+ //! Any complexity.
+ ANY_COMPLEXITY
+};
+
+//! Possible optimization modes.
+/*! \ingroup PPL_CXX_interface */
+enum Optimization_Mode {
+ //! Minimization is requested.
+ MINIMIZATION,
+ //! Maximization is requested.
+ MAXIMIZATION
+};
+
+/*! \ingroup PPL_CXX_interface \brief
+ Widths of bounded integer types.
+
+ See the section on
+ \ref Approximating_Bounded_Integers "approximating bounded integers".
+*/
+enum Bounded_Integer_Type_Width {
+ //! \hideinitializer 8 bits.
+ BITS_8 = 8,
+
+ //! \hideinitializer 16 bits.
+ BITS_16 = 16,
+
+ //! \hideinitializer 32 bits.
+ BITS_32 = 32,
+
+ //! \hideinitializer 64 bits.
+ BITS_64 = 64,
+
+ //! \hideinitializer 128 bits.
+ BITS_128 = 128
+};
+
+/*! \ingroup PPL_CXX_interface \brief
+ Representation of bounded integer types.
+
+ See the section on
+ \ref Approximating_Bounded_Integers "approximating bounded integers".
+*/
+enum Bounded_Integer_Type_Representation {
+ //! Unsigned binary.
+ UNSIGNED,
+
+ /*! \brief
+ Signed binary where negative values are represented by the two's
+ complement of the absolute value.
+ */
+ SIGNED_2_COMPLEMENT
+};
+
+/*! \ingroup PPL_CXX_interface \brief
+ Overflow behavior of bounded integer types.
+
+ See the section on
+ \ref Approximating_Bounded_Integers "approximating bounded integers".
+*/
+enum Bounded_Integer_Type_Overflow {
+ /*! \brief
+ On overflow, wrapping takes place.
+
+ This means that, for a \f$w\f$-bit bounded integer, the computation
+ happens modulo \f$2^w\f$.
+ */
+ OVERFLOW_WRAPS,
+
+ /*! \brief
+ On overflow, the result is undefined.
+
+ This simply means that the result of the operation resulting in an
+ overflow can take any value.
+
+ \note
+ Even though something more serious can happen in the system
+ being analyzed ---due to, e.g., C's undefined behavior---, here we
+ are only concerned with the results of arithmetic operations.
+ It is the responsibility of the analyzer to ensure that other
+ manifestations of undefined behavior are conservatively approximated.
+ */
+ OVERFLOW_UNDEFINED,
+
+ /*! \brief
+ Overflow is impossible.
+
+ This is for the analysis of languages where overflow is trapped
+ before it affects the state, for which, thus, any indication that
+ an overflow may have affected the state is necessarily due to
+ the imprecision of the analysis.
+ */
+ OVERFLOW_IMPOSSIBLE
+};
+
+/*! \ingroup PPL_CXX_interface \brief
+ Possible representations of coefficient sequences (i.e. linear expressions
+ and more complex objects containing linear expressions, e.g. Constraints,
+ Generators, etc.).
+*/
+enum Representation {
+ /*! \brief
+ Dense representation: the coefficient sequence is represented as a vector
+ of coefficients, including the zero coefficients.
+ If there are only a few nonzero coefficients, this representation is
+ faster and also uses a bit less memory.
+ */
+ DENSE,
+
+ /*! \brief
+ Sparse representation: only the nonzero coefficient are stored.
+ If there are many nonzero coefficients, this improves memory consumption
+ and run time (both because there is less data to process in O(n)
+ operations and because finding zeroes/nonzeroes is much faster since
+ zeroes are not stored at all, so any stored coefficient is nonzero).
+ */
+ SPARSE
+};
+
+/*! \ingroup PPL_CXX_interface \brief
+ Floating point formats known to the library.
+
+ The parameters of each format are defined by a specific struct
+ in file Float_defs.hh. See the section on \ref floating_point
+ "Analysis of floating point computations" for more information.
+*/
+enum Floating_Point_Format {
+ //! IEEE 754 half precision, 16 bits (5 exponent, 10 mantissa).
+ IEEE754_HALF,
+
+ //! IEEE 754 single precision, 32 bits (8 exponent, 23 mantissa).
+ IEEE754_SINGLE,
+
+ //! IEEE 754 double precision, 64 bits (11 exponent, 52 mantissa).
+ IEEE754_DOUBLE,
+
+ //! IEEE 754 quad precision, 128 bits (15 exponent, 112 mantissa).
+ IEEE754_QUAD,
+
+ //! Intel double extended precision, 80 bits (15 exponent, 64 mantissa)
+ INTEL_DOUBLE_EXTENDED,
+
+ //! IBM single precision, 32 bits (7 exponent, 24 mantissa).
+ IBM_SINGLE,
+
+ //! IBM double precision, 64 bits (7 exponent, 56 mantissa).
+ IBM_DOUBLE
+};
+
+struct Weightwatch_Traits;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_globals_types_hh)
diff --git a/src/initializer.hh b/src/initializer.hh
index 1e0cb6e..f681040 100644
--- a/src/initializer.hh
+++ b/src/initializer.hh
@@ -1,6 +1,6 @@
/* Nifty counter object for the initialization of the library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,7 +24,7 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_initializer_hh
#define PPL_initializer_hh 1
-#include "Init.defs.hh"
+#include "Init_defs.hh"
#ifndef PPL_NO_AUTOMATIC_INITIALIZATION
diff --git a/src/intervals.defs.hh b/src/intervals.defs.hh
deleted file mode 100644
index 4649f1e..0000000
--- a/src/intervals.defs.hh
+++ /dev/null
@@ -1,473 +0,0 @@
-/* Helper classes for intervals.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_intervals_defs_hh
-#define PPL_intervals_defs_hh 1
-
-#include "assert.hh"
-#include <cstdlib>
-
-#include "Checked_Number.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! The result of an operation on intervals.
-/*! \ingroup PPL_CXX_interface */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-enum I_Result {
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result may be empty.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_EMPTY = 1U,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result may have only one value.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_SINGLETON = 2U,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- /*! \brief \hideinitializer
- Result may have more than one value, but it is not the domain universe.
- */
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_SOME = 4U,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result may be the domain universe.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_UNIVERSE = 8U,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result is not empty.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_NOT_EMPTY = I_SINGLETON | I_SOME | I_UNIVERSE,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result may be empty or not empty.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_ANY = I_EMPTY | I_NOT_EMPTY,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result may be empty or not empty.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_NOT_UNIVERSE = I_EMPTY | I_SINGLETON | I_SOME,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result is neither empty nor the domain universe.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_NOT_DEGENERATE = I_SINGLETON | I_SOME,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result is definitely exact.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_EXACT = 16,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Result is definitely inexact.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_INEXACT = 32,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Operation has definitely changed the set.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_CHANGED = 64,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Operation has left the set definitely unchanged.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_UNCHANGED = 128,
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
- //! \hideinitializer Operation is undefined for some combination of values.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
- I_SINGULARITIES = 256
-};
-
-inline I_Result
-operator|(I_Result a, I_Result b) {
- return static_cast<I_Result>(static_cast<unsigned>(a)
- | static_cast<unsigned>(b));
-}
-
-inline I_Result
-operator&(I_Result a, I_Result b) {
- return static_cast<I_Result>(static_cast<unsigned>(a)
- & static_cast<unsigned>(b));
-}
-
-inline I_Result
-operator-(I_Result a, I_Result b) {
- return static_cast<I_Result>(static_cast<unsigned>(a)
- & ~static_cast<unsigned>(b));
-}
-
-template <typename Criteria, typename T>
-struct Use_By_Ref;
-
-struct Use_Slow_Copy;
-template <typename T>
-struct Use_By_Ref<Use_Slow_Copy, T>
- : public Bool<Slow_Copy<T>::value> {
-};
-
-struct By_Value;
-template <typename T>
-struct Use_By_Ref<By_Value, T>
- : public False {
-};
-
-struct By_Ref;
-template <typename T>
-struct Use_By_Ref<By_Ref, T>
- : public True {
-};
-
-template <typename T, typename Criteria = Use_Slow_Copy, typename Enable = void>
-class Val_Or_Ref;
-
-template <typename T, typename Criteria>
-class Val_Or_Ref<T, Criteria,
- typename Enable_If<!Use_By_Ref<Criteria, T>::value>::type> {
- T value;
-public:
- typedef T Arg_Type;
- typedef T Return_Type;
- Val_Or_Ref()
- : value() {
- }
- explicit Val_Or_Ref(Arg_Type v, bool = false)
- : value(v) {
- }
- Val_Or_Ref& operator=(Arg_Type v) {
- value = v;
- return *this;
- }
- void set(Arg_Type v, bool = false) {
- value = v;
- }
- Return_Type get() const {
- return value;
- }
- operator Return_Type () const {
- return get();
- }
-};
-
-template <typename T, typename Criteria>
-class Val_Or_Ref<T, Criteria,
- typename Enable_If<Use_By_Ref<Criteria, T>::value>::type> {
- const T* ptr;
-public:
- typedef T& Arg_Type;
- typedef const T& Return_Type;
- Val_Or_Ref()
- : ptr(0) {
- }
- explicit Val_Or_Ref(Arg_Type v)
- : ptr(&v) {
- }
- Val_Or_Ref(const T& v, bool)
- : ptr(&v) {
- }
- Val_Or_Ref& operator=(Arg_Type v) {
- ptr = &v;
- return *this;
- }
- void set(Arg_Type v) {
- ptr = &v;
- }
- void set(const T& v, bool) {
- ptr = &v;
- }
- Return_Type get() const {
- return *ptr;
- }
- operator Return_Type () const {
- return get();
- }
-};
-
-class I_Constraint_Base {
-};
-
-template <typename Derived>
-class I_Constraint_Common : public I_Constraint_Base {
-public:
- template <typename T>
- Result convert_real(T& to) const {
- const Derived& c = static_cast<const Derived&>(*this);
- Result r = c.rel();
- switch (r) {
- case V_EMPTY:
- case V_LGE:
- return r;
- case V_LE:
- r = assign_r(to, c.value(), (ROUND_UP | ROUND_STRICT_RELATION));
- r = result_relation_class(r);
- if (r == V_EQ)
- return V_LE;
- goto lt;
- case V_LT:
- r = assign_r(to, c.value(), ROUND_UP);
- r = result_relation_class(r);
- lt:
- switch (r) {
- case V_EMPTY:
- case V_LT_PLUS_INFINITY:
- case V_EQ_MINUS_INFINITY:
- return r;
- case V_LT:
- case V_LE:
- case V_EQ:
- return V_LT;
- default:
- break;
- }
- break;
- case V_GE:
- r = assign_r(to, c.value(), (ROUND_DOWN | ROUND_STRICT_RELATION));
- r = result_relation_class(r);
- if (r == V_EQ)
- return V_GE;
- goto gt;
- case V_GT:
- r = assign_r(to, c.value(), ROUND_DOWN);
- r = result_relation_class(r);
- gt:
- switch (r) {
- case V_EMPTY:
- case V_GT_MINUS_INFINITY:
- case V_EQ_PLUS_INFINITY:
- return r;
- case V_LT:
- case V_LE:
- case V_EQ:
- return V_GT;
- default:
- break;
- }
- break;
- case V_EQ:
- r = assign_r(to, c.value(), ROUND_CHECK);
- r = result_relation_class(r);
- PPL_ASSERT(r != V_LT && r != V_GT);
- if (r == V_EQ)
- return V_EQ;
- else
- return V_EMPTY;
- case V_NE:
- r = assign_r(to, c.value(), ROUND_CHECK);
- r = result_relation_class(r);
- if (r == V_EQ)
- return V_NE;
- else
- return V_LGE;
- default:
- break;
- }
- PPL_UNREACHABLE;
- return V_EMPTY;
- }
- template <typename T>
- Result convert_real(T& to1, Result& rel2, T& to2) const {
- const Derived& c = static_cast<const Derived&>(*this);
- Result rel1;
- if (c.rel() != V_EQ) {
- rel2 = convert(to2);
- return V_LGE;
- }
- rel2 = assign_r(to2, c.value(), ROUND_UP);
- rel2 = result_relation_class(rel2);
- switch (rel2) {
- case V_EMPTY:
- case V_EQ_MINUS_INFINITY:
- case V_EQ:
- return V_LGE;
- default:
- break;
- }
- rel1 = assign_r(to1, c.value(), ROUND_DOWN);
- rel1 = result_relation_class(rel1);
- switch (rel1) {
- case V_EQ:
- PPL_ASSERT(rel2 == V_LE);
- goto eq;
- case V_EQ_PLUS_INFINITY:
- case V_EMPTY:
- rel2 = rel1;
- return V_LGE;
- case V_GE:
- if (rel2 == V_LE && to1 == to2) {
- eq:
- rel2 = V_EQ;
- return V_LGE;
- }
- /* Fall through*/
- case V_GT:
- case V_GT_MINUS_INFINITY:
- return rel1;
- default:
- PPL_UNREACHABLE;
- return V_EMPTY;
- }
- switch (rel2) {
- case V_LE:
- case V_LT:
- case V_LT_PLUS_INFINITY:
- return rel1;
- default:
- PPL_UNREACHABLE;
- return V_EMPTY;
- }
- }
- template <typename T>
- Result convert_integer(T& to) const {
- Result rel = convert_real(to);
- switch (rel) {
- case V_LT:
- if (is_integer(to)) {
- rel = sub_assign_r(to, to, T(1), (ROUND_UP | ROUND_STRICT_RELATION));
- rel = result_relation_class(rel);
- return (rel == V_EQ) ? V_LE : rel;
- }
- /* Fall through */
- case V_LE:
- rel = floor_assign_r(to, to, ROUND_UP);
- rel = result_relation_class(rel);
- PPL_ASSERT(rel == V_EQ);
- return V_LE;
- case V_GT:
- if (is_integer(to)) {
- rel = add_assign_r(to, to, T(1), (ROUND_DOWN | ROUND_STRICT_RELATION));
- rel = result_relation_class(rel);
- return (rel == V_EQ) ? V_GE : rel;
- }
- /* Fall through */
- case V_GE:
- rel = ceil_assign_r(to, to, ROUND_DOWN);
- rel = result_relation_class(rel);
- PPL_ASSERT(rel == V_EQ);
- return V_GE;
- case V_EQ:
- if (is_integer(to))
- return V_EQ;
- return V_EMPTY;
- case V_NE:
- if (is_integer(to))
- return V_NE;
- return V_LGE;
- default:
- return rel;
- }
- }
-};
-
-struct I_Constraint_Rel {
- Result rel;
- I_Constraint_Rel(Result r)
- : rel(r) {
- PPL_ASSERT(result_relation_class(r) == r);
- }
- I_Constraint_Rel(Relation_Symbol r)
- : rel(static_cast<Result>(r)) {
- }
- operator Result() const {
- return rel;
- }
-};
-
-template <typename T, typename Val_Or_Ref_Criteria = Use_Slow_Copy,
- bool extended = false>
-class I_Constraint
- : public I_Constraint_Common<I_Constraint<T, Val_Or_Ref_Criteria,
- extended> > {
- typedef Val_Or_Ref<T, Val_Or_Ref_Criteria> Val_Ref;
- typedef typename Val_Ref::Arg_Type Arg_Type;
- typedef typename Val_Ref::Return_Type Return_Type;
- Result rel_;
- Val_Ref value_;
-public:
- typedef T value_type;
- explicit I_Constraint()
- : rel_(V_LGE) {
- }
- I_Constraint(I_Constraint_Rel r, Arg_Type v)
- : rel_(r), value_(v) {
- }
- I_Constraint(I_Constraint_Rel r, const T& v, bool force)
- : rel_(r), value_(v, force) {
- }
- template <typename U>
- I_Constraint(I_Constraint_Rel r, const U& v)
- : rel_(r), value_(v) {
- }
- void set(I_Constraint_Rel r, Arg_Type v) {
- rel_ = r;
- value_.set(v);
- }
- void set(I_Constraint_Rel r, const T& v, bool force) {
- rel_ = r;
- value_.set(v, force);
- }
- template <typename U>
- void set(I_Constraint_Rel r, const U& v) {
- rel_ = r;
- value_.set(v);
- }
- Return_Type value() const {
- return value_;
- }
- Result rel() const {
- return rel_;
- }
-};
-
-template <typename T>
-inline I_Constraint<T>
-i_constraint(I_Constraint_Rel rel, const T& v) {
- return I_Constraint<T>(rel, v);
-}
-
-template <typename T>
-inline I_Constraint<T>
-i_constraint(I_Constraint_Rel rel, const T& v, bool force) {
- return I_Constraint<T>(rel, v, force);
-}
-
-template <typename T>
-inline I_Constraint<T>
-i_constraint(I_Constraint_Rel rel, T& v) {
- return I_Constraint<T>(rel, v);
-}
-
-template <typename T, typename Val_Or_Ref_Criteria>
-inline I_Constraint<T, Val_Or_Ref_Criteria>
-i_constraint(I_Constraint_Rel rel, const T& v, const Val_Or_Ref_Criteria&) {
- return I_Constraint<T, Val_Or_Ref_Criteria>(rel, v);
-}
-
-template <typename T, typename Val_Or_Ref_Criteria>
-inline I_Constraint<T, Val_Or_Ref_Criteria>
-i_constraint(I_Constraint_Rel rel, const T& v, bool force,
- const Val_Or_Ref_Criteria&) {
- return I_Constraint<T, Val_Or_Ref_Criteria>(rel, v, force);
-}
-
-template <typename T, typename Val_Or_Ref_Criteria>
-inline I_Constraint<T, Val_Or_Ref_Criteria>
-i_constraint(I_Constraint_Rel rel, T& v, const Val_Or_Ref_Criteria&) {
- return I_Constraint<T, Val_Or_Ref_Criteria>(rel, v);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_intervals_defs_hh)
diff --git a/src/intervals_defs.hh b/src/intervals_defs.hh
new file mode 100644
index 0000000..59574c4
--- /dev/null
+++ b/src/intervals_defs.hh
@@ -0,0 +1,473 @@
+/* Helper classes for intervals.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_intervals_defs_hh
+#define PPL_intervals_defs_hh 1
+
+#include "assert.hh"
+#include <cstdlib>
+
+#include "Checked_Number_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! The result of an operation on intervals.
+/*! \ingroup PPL_CXX_interface */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+enum I_Result {
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result may be empty.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_EMPTY = 1U,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result may have only one value.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_SINGLETON = 2U,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ /*! \brief \hideinitializer
+ Result may have more than one value, but it is not the domain universe.
+ */
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_SOME = 4U,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result may be the domain universe.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_UNIVERSE = 8U,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result is not empty.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_NOT_EMPTY = I_SINGLETON | I_SOME | I_UNIVERSE,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result may be empty or not empty.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_ANY = I_EMPTY | I_NOT_EMPTY,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result may be empty or not empty.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_NOT_UNIVERSE = I_EMPTY | I_SINGLETON | I_SOME,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result is neither empty nor the domain universe.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_NOT_DEGENERATE = I_SINGLETON | I_SOME,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result is definitely exact.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_EXACT = 16,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Result is definitely inexact.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_INEXACT = 32,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Operation has definitely changed the set.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_CHANGED = 64,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Operation has left the set definitely unchanged.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_UNCHANGED = 128,
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+ //! \hideinitializer Operation is undefined for some combination of values.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+ I_SINGULARITIES = 256
+};
+
+inline I_Result
+operator|(I_Result a, I_Result b) {
+ return static_cast<I_Result>(static_cast<unsigned>(a)
+ | static_cast<unsigned>(b));
+}
+
+inline I_Result
+operator&(I_Result a, I_Result b) {
+ return static_cast<I_Result>(static_cast<unsigned>(a)
+ & static_cast<unsigned>(b));
+}
+
+inline I_Result
+operator-(I_Result a, I_Result b) {
+ return static_cast<I_Result>(static_cast<unsigned>(a)
+ & ~static_cast<unsigned>(b));
+}
+
+template <typename Criteria, typename T>
+struct Use_By_Ref;
+
+struct Use_Slow_Copy;
+template <typename T>
+struct Use_By_Ref<Use_Slow_Copy, T>
+ : public Bool<Slow_Copy<T>::value> {
+};
+
+struct By_Value;
+template <typename T>
+struct Use_By_Ref<By_Value, T>
+ : public False {
+};
+
+struct By_Ref;
+template <typename T>
+struct Use_By_Ref<By_Ref, T>
+ : public True {
+};
+
+template <typename T, typename Criteria = Use_Slow_Copy, typename Enable = void>
+class Val_Or_Ref;
+
+template <typename T, typename Criteria>
+class Val_Or_Ref<T, Criteria,
+ typename Enable_If<!Use_By_Ref<Criteria, T>::value>::type> {
+ T value;
+public:
+ typedef T Arg_Type;
+ typedef T Return_Type;
+ Val_Or_Ref()
+ : value() {
+ }
+ explicit Val_Or_Ref(Arg_Type v, bool = false)
+ : value(v) {
+ }
+ Val_Or_Ref& operator=(Arg_Type v) {
+ value = v;
+ return *this;
+ }
+ void set(Arg_Type v, bool = false) {
+ value = v;
+ }
+ Return_Type get() const {
+ return value;
+ }
+ operator Return_Type () const {
+ return get();
+ }
+};
+
+template <typename T, typename Criteria>
+class Val_Or_Ref<T, Criteria,
+ typename Enable_If<Use_By_Ref<Criteria, T>::value>::type> {
+ const T* ptr;
+public:
+ typedef T& Arg_Type;
+ typedef const T& Return_Type;
+ Val_Or_Ref()
+ : ptr(0) {
+ }
+ explicit Val_Or_Ref(Arg_Type v)
+ : ptr(&v) {
+ }
+ Val_Or_Ref(const T& v, bool)
+ : ptr(&v) {
+ }
+ Val_Or_Ref& operator=(Arg_Type v) {
+ ptr = &v;
+ return *this;
+ }
+ void set(Arg_Type v) {
+ ptr = &v;
+ }
+ void set(const T& v, bool) {
+ ptr = &v;
+ }
+ Return_Type get() const {
+ return *ptr;
+ }
+ operator Return_Type () const {
+ return get();
+ }
+};
+
+class I_Constraint_Base {
+};
+
+template <typename Derived>
+class I_Constraint_Common : public I_Constraint_Base {
+public:
+ template <typename T>
+ Result convert_real(T& to) const {
+ const Derived& c = static_cast<const Derived&>(*this);
+ Result r = c.rel();
+ switch (r) {
+ case V_EMPTY:
+ case V_LGE:
+ return r;
+ case V_LE:
+ r = assign_r(to, c.value(), (ROUND_UP | ROUND_STRICT_RELATION));
+ r = result_relation_class(r);
+ if (r == V_EQ)
+ return V_LE;
+ goto lt;
+ case V_LT:
+ r = assign_r(to, c.value(), ROUND_UP);
+ r = result_relation_class(r);
+ lt:
+ switch (r) {
+ case V_EMPTY:
+ case V_LT_PLUS_INFINITY:
+ case V_EQ_MINUS_INFINITY:
+ return r;
+ case V_LT:
+ case V_LE:
+ case V_EQ:
+ return V_LT;
+ default:
+ break;
+ }
+ break;
+ case V_GE:
+ r = assign_r(to, c.value(), (ROUND_DOWN | ROUND_STRICT_RELATION));
+ r = result_relation_class(r);
+ if (r == V_EQ)
+ return V_GE;
+ goto gt;
+ case V_GT:
+ r = assign_r(to, c.value(), ROUND_DOWN);
+ r = result_relation_class(r);
+ gt:
+ switch (r) {
+ case V_EMPTY:
+ case V_GT_MINUS_INFINITY:
+ case V_EQ_PLUS_INFINITY:
+ return r;
+ case V_LT:
+ case V_LE:
+ case V_EQ:
+ return V_GT;
+ default:
+ break;
+ }
+ break;
+ case V_EQ:
+ r = assign_r(to, c.value(), ROUND_CHECK);
+ r = result_relation_class(r);
+ PPL_ASSERT(r != V_LT && r != V_GT);
+ if (r == V_EQ)
+ return V_EQ;
+ else
+ return V_EMPTY;
+ case V_NE:
+ r = assign_r(to, c.value(), ROUND_CHECK);
+ r = result_relation_class(r);
+ if (r == V_EQ)
+ return V_NE;
+ else
+ return V_LGE;
+ default:
+ break;
+ }
+ PPL_UNREACHABLE;
+ return V_EMPTY;
+ }
+ template <typename T>
+ Result convert_real(T& to1, Result& rel2, T& to2) const {
+ const Derived& c = static_cast<const Derived&>(*this);
+ Result rel1;
+ if (c.rel() != V_EQ) {
+ rel2 = convert(to2);
+ return V_LGE;
+ }
+ rel2 = assign_r(to2, c.value(), ROUND_UP);
+ rel2 = result_relation_class(rel2);
+ switch (rel2) {
+ case V_EMPTY:
+ case V_EQ_MINUS_INFINITY:
+ case V_EQ:
+ return V_LGE;
+ default:
+ break;
+ }
+ rel1 = assign_r(to1, c.value(), ROUND_DOWN);
+ rel1 = result_relation_class(rel1);
+ switch (rel1) {
+ case V_EQ:
+ PPL_ASSERT(rel2 == V_LE);
+ goto eq;
+ case V_EQ_PLUS_INFINITY:
+ case V_EMPTY:
+ rel2 = rel1;
+ return V_LGE;
+ case V_GE:
+ if (rel2 == V_LE && to1 == to2) {
+ eq:
+ rel2 = V_EQ;
+ return V_LGE;
+ }
+ /* Fall through*/
+ case V_GT:
+ case V_GT_MINUS_INFINITY:
+ return rel1;
+ default:
+ PPL_UNREACHABLE;
+ return V_EMPTY;
+ }
+ switch (rel2) {
+ case V_LE:
+ case V_LT:
+ case V_LT_PLUS_INFINITY:
+ return rel1;
+ default:
+ PPL_UNREACHABLE;
+ return V_EMPTY;
+ }
+ }
+ template <typename T>
+ Result convert_integer(T& to) const {
+ Result rel = convert_real(to);
+ switch (rel) {
+ case V_LT:
+ if (is_integer(to)) {
+ rel = sub_assign_r(to, to, T(1), (ROUND_UP | ROUND_STRICT_RELATION));
+ rel = result_relation_class(rel);
+ return (rel == V_EQ) ? V_LE : rel;
+ }
+ /* Fall through */
+ case V_LE:
+ rel = floor_assign_r(to, to, ROUND_UP);
+ rel = result_relation_class(rel);
+ PPL_ASSERT(rel == V_EQ);
+ return V_LE;
+ case V_GT:
+ if (is_integer(to)) {
+ rel = add_assign_r(to, to, T(1), (ROUND_DOWN | ROUND_STRICT_RELATION));
+ rel = result_relation_class(rel);
+ return (rel == V_EQ) ? V_GE : rel;
+ }
+ /* Fall through */
+ case V_GE:
+ rel = ceil_assign_r(to, to, ROUND_DOWN);
+ rel = result_relation_class(rel);
+ PPL_ASSERT(rel == V_EQ);
+ return V_GE;
+ case V_EQ:
+ if (is_integer(to))
+ return V_EQ;
+ return V_EMPTY;
+ case V_NE:
+ if (is_integer(to))
+ return V_NE;
+ return V_LGE;
+ default:
+ return rel;
+ }
+ }
+};
+
+struct I_Constraint_Rel {
+ Result rel;
+ I_Constraint_Rel(Result r)
+ : rel(r) {
+ PPL_ASSERT(result_relation_class(r) == r);
+ }
+ I_Constraint_Rel(Relation_Symbol r)
+ : rel(static_cast<Result>(r)) {
+ }
+ operator Result() const {
+ return rel;
+ }
+};
+
+template <typename T, typename Val_Or_Ref_Criteria = Use_Slow_Copy,
+ bool extended = false>
+class I_Constraint
+ : public I_Constraint_Common<I_Constraint<T, Val_Or_Ref_Criteria,
+ extended> > {
+ typedef Val_Or_Ref<T, Val_Or_Ref_Criteria> Val_Ref;
+ typedef typename Val_Ref::Arg_Type Arg_Type;
+ typedef typename Val_Ref::Return_Type Return_Type;
+ Result rel_;
+ Val_Ref value_;
+public:
+ typedef T value_type;
+ explicit I_Constraint()
+ : rel_(V_LGE) {
+ }
+ I_Constraint(I_Constraint_Rel r, Arg_Type v)
+ : rel_(r), value_(v) {
+ }
+ I_Constraint(I_Constraint_Rel r, const T& v, bool force)
+ : rel_(r), value_(v, force) {
+ }
+ template <typename U>
+ I_Constraint(I_Constraint_Rel r, const U& v)
+ : rel_(r), value_(v) {
+ }
+ void set(I_Constraint_Rel r, Arg_Type v) {
+ rel_ = r;
+ value_.set(v);
+ }
+ void set(I_Constraint_Rel r, const T& v, bool force) {
+ rel_ = r;
+ value_.set(v, force);
+ }
+ template <typename U>
+ void set(I_Constraint_Rel r, const U& v) {
+ rel_ = r;
+ value_.set(v);
+ }
+ Return_Type value() const {
+ return value_;
+ }
+ Result rel() const {
+ return rel_;
+ }
+};
+
+template <typename T>
+inline I_Constraint<T>
+i_constraint(I_Constraint_Rel rel, const T& v) {
+ return I_Constraint<T>(rel, v);
+}
+
+template <typename T>
+inline I_Constraint<T>
+i_constraint(I_Constraint_Rel rel, const T& v, bool force) {
+ return I_Constraint<T>(rel, v, force);
+}
+
+template <typename T>
+inline I_Constraint<T>
+i_constraint(I_Constraint_Rel rel, T& v) {
+ return I_Constraint<T>(rel, v);
+}
+
+template <typename T, typename Val_Or_Ref_Criteria>
+inline I_Constraint<T, Val_Or_Ref_Criteria>
+i_constraint(I_Constraint_Rel rel, const T& v, const Val_Or_Ref_Criteria&) {
+ return I_Constraint<T, Val_Or_Ref_Criteria>(rel, v);
+}
+
+template <typename T, typename Val_Or_Ref_Criteria>
+inline I_Constraint<T, Val_Or_Ref_Criteria>
+i_constraint(I_Constraint_Rel rel, const T& v, bool force,
+ const Val_Or_Ref_Criteria&) {
+ return I_Constraint<T, Val_Or_Ref_Criteria>(rel, v, force);
+}
+
+template <typename T, typename Val_Or_Ref_Criteria>
+inline I_Constraint<T, Val_Or_Ref_Criteria>
+i_constraint(I_Constraint_Rel rel, T& v, const Val_Or_Ref_Criteria&) {
+ return I_Constraint<T, Val_Or_Ref_Criteria>(rel, v);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_intervals_defs_hh)
diff --git a/src/iterator_to_const.defs.hh b/src/iterator_to_const.defs.hh
deleted file mode 100644
index 4444b7d..0000000
--- a/src/iterator_to_const.defs.hh
+++ /dev/null
@@ -1,221 +0,0 @@
-/* iterator_to_const and const_iterator_to_const class declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_iterator_to_const_hh
-#define PPL_iterator_to_const_hh 1
-
-#include "iterator_to_const.types.hh"
-#include "Powerset.types.hh"
-//#include "Ask_Tell.types.hh"
-#include <iterator>
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! An iterator on a sequence of read-only objects.
-/*! \ingroup PPL_CXX_interface
- This template class implements a bidirectional <EM>read-only</EM>
- iterator on the sequence of objects <CODE>Container</CODE>.
- By using this iterator class it is not possible to modify the objects
- contained in <CODE>Container</CODE>; rather, object modification has
- to be implemented by object replacement, i.e., by using the methods
- provided by <CODE>Container</CODE> to remove/insert objects.
- Such a policy (a modifiable container of read-only objects) allows
- for a reliable enforcement of invariants (such as sortedness of the
- objects in the sequence).
-
- \note
- For any developers' need, suitable friend declarations allow for
- accessing the low-level iterators on the sequence of objects.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Container>
-class Parma_Polyhedra_Library::iterator_to_const {
-private:
- //! The type of the underlying mutable iterator.
- typedef typename Container::iterator Base;
-
- //! A shortcut for naming the const_iterator traits.
- typedef typename
- std::iterator_traits<typename Container::const_iterator> Traits;
-
- //! A (mutable) iterator on the sequence of elements.
- Base base;
-
- //! Constructs from the lower-level iterator.
- iterator_to_const(const Base& b);
-
- friend class const_iterator_to_const<Container>;
- template <typename T> friend class Powerset;
-
-public:
- // Same traits of the const_iterator, therefore
- // forbidding the direct modification of sequence elements.
- typedef typename Traits::iterator_category iterator_category;
- typedef typename Traits::value_type value_type;
- typedef typename Traits::difference_type difference_type;
- typedef typename Traits::pointer pointer;
- typedef typename Traits::reference reference;
-
- //! Default constructor.
- iterator_to_const();
-
- //! Copy constructor.
- iterator_to_const(const iterator_to_const& y);
-
- //! Dereference operator.
- reference operator*() const;
-
- //! Indirect access operator.
- pointer operator->() const;
-
- //! Prefix increment operator.
- iterator_to_const& operator++();
-
- //! Postfix increment operator.
- iterator_to_const operator++(int);
-
- //! Prefix decrement operator.
- iterator_to_const& operator--();
-
- //! Postfix decrement operator.
- iterator_to_const operator--(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are identical.
- */
- bool operator==(const iterator_to_const& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are different.
- */
- bool operator!=(const iterator_to_const& y) const;
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A %const_iterator on a sequence of read-only objects.
-/*! \ingroup PPL_CXX_interface
- This class, besides implementing a read-only bidirectional iterator
- on a read-only sequence of objects, ensures interoperability
- with template class iterator_to_const.
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Container>
-class Parma_Polyhedra_Library::const_iterator_to_const {
-private:
- //! The type of the underlying %const_iterator.
- typedef typename Container::const_iterator Base;
-
- //! A shortcut for naming traits.
- typedef typename std::iterator_traits<Base> Traits;
-
- //! A %const_iterator on the sequence of elements.
- Base base;
-
- //! Constructs from the lower-level const_iterator.
- const_iterator_to_const(const Base& b);
-
- friend class iterator_to_const<Container>;
- template <typename T> friend class Powerset;
-
-public:
- // Same traits of the underlying const_iterator.
- typedef typename Traits::iterator_category iterator_category;
- typedef typename Traits::value_type value_type;
- typedef typename Traits::difference_type difference_type;
- typedef typename Traits::pointer pointer;
- typedef typename Traits::reference reference;
-
- //! Default constructor.
- const_iterator_to_const();
-
- //! Copy constructor.
- const_iterator_to_const(const const_iterator_to_const& y);
-
- //! Constructs from the corresponding non-const iterator.
- const_iterator_to_const(const iterator_to_const<Container>& y);
-
- //! Dereference operator.
- reference operator*() const;
-
- //! Indirect member selector.
- pointer operator->() const;
-
- //! Prefix increment operator.
- const_iterator_to_const& operator++();
-
- //! Postfix increment operator.
- const_iterator_to_const operator++(int);
-
- //! Prefix decrement operator.
- const_iterator_to_const& operator--();
-
- //! Postfix decrement operator.
- const_iterator_to_const operator--(int);
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are identical.
- */
- bool operator==(const const_iterator_to_const& y) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if
- \p *this and \p y are different.
- */
- bool operator!=(const const_iterator_to_const& y) const;
-};
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Mixed comparison operator: returns <CODE>true</CODE> if and only
- if (the const version of) \p x is identical to \p y.
-
- \relates const_iterator_to_const
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Container>
-bool
-operator==(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- Mixed comparison operator: returns <CODE>true</CODE> if and only
- if (the const version of) \p x is different from \p y.
-
- \relates const_iterator_to_const
-*/
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Container>
-bool
-operator!=(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "iterator_to_const.inlines.hh"
-
-#endif // !defined(PPL_iterator_to_const_hh)
diff --git a/src/iterator_to_const.inlines.hh b/src/iterator_to_const.inlines.hh
deleted file mode 100644
index e15fba0..0000000
--- a/src/iterator_to_const.inlines.hh
+++ /dev/null
@@ -1,202 +0,0 @@
-/* iterator_to_const and const_iterator_to_const class implementations:
- inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_iterator_to_const_inlines_hh
-#define PPL_iterator_to_const_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Container>
-inline
-iterator_to_const<Container>::iterator_to_const()
- : base() {
-}
-
-template <typename Container>
-inline
-iterator_to_const<Container>::iterator_to_const(const iterator_to_const& y)
- : base(y.base) {
-}
-
-template <typename Container>
-inline
-iterator_to_const<Container>::iterator_to_const(const Base& b)
- : base(b) {
-}
-
-template <typename Container>
-inline typename iterator_to_const<Container>::reference
-iterator_to_const<Container>::operator*() const {
- return *base;
-}
-
-template <typename Container>
-inline typename iterator_to_const<Container>::pointer
-iterator_to_const<Container>::operator->() const {
- return &*base;
-}
-
-template <typename Container>
-inline iterator_to_const<Container>&
-iterator_to_const<Container>::operator++() {
- ++base;
- return *this;
-}
-
-template <typename Container>
-inline iterator_to_const<Container>
-iterator_to_const<Container>::operator++(int) {
- iterator_to_const tmp = *this;
- operator++();
- return tmp;
-}
-
-template <typename Container>
-inline iterator_to_const<Container>&
-iterator_to_const<Container>::operator--() {
- --base;
- return *this;
-}
-
-template <typename Container>
-inline iterator_to_const<Container>
-iterator_to_const<Container>::operator--(int) {
- iterator_to_const tmp = *this;
- operator--();
- return tmp;
-}
-
-template <typename Container>
-inline bool
-iterator_to_const<Container>::operator==(const iterator_to_const& y) const {
- return base == y.base;
-}
-
-template <typename Container>
-inline bool
-iterator_to_const<Container>::operator!=(const iterator_to_const& y) const {
- return !operator==(y);
-}
-
-template <typename Container>
-inline
-const_iterator_to_const<Container>::const_iterator_to_const()
- : base() {
-}
-
-template <typename Container>
-inline
-const_iterator_to_const<Container>
-::const_iterator_to_const(const const_iterator_to_const& y)
- : base(y.base) {
-}
-
-template <typename Container>
-inline
-const_iterator_to_const<Container>::const_iterator_to_const(const Base& b)
- : base(b) {
-}
-
-template <typename Container>
-inline typename const_iterator_to_const<Container>::reference
-const_iterator_to_const<Container>::operator*() const {
- return *base;
-}
-
-template <typename Container>
-inline typename const_iterator_to_const<Container>::pointer
-const_iterator_to_const<Container>::operator->() const {
- return &*base;
-}
-
-template <typename Container>
-inline const_iterator_to_const<Container>&
-const_iterator_to_const<Container>::operator++() {
- ++base;
- return *this;
-}
-
-template <typename Container>
-inline const_iterator_to_const<Container>
-const_iterator_to_const<Container>::operator++(int) {
- const_iterator_to_const tmp = *this;
- operator++();
- return tmp;
-}
-
-template <typename Container>
-inline const_iterator_to_const<Container>&
-const_iterator_to_const<Container>::operator--() {
- --base;
- return *this;
-}
-
-template <typename Container>
-inline const_iterator_to_const<Container>
-const_iterator_to_const<Container>::operator--(int) {
- const_iterator_to_const tmp = *this;
- operator--();
- return tmp;
-}
-
-template <typename Container>
-inline bool
-const_iterator_to_const<Container>
-::operator==(const const_iterator_to_const& y) const {
- return base == y.base;
-}
-
-template <typename Container>
-inline bool
-const_iterator_to_const<Container>
-::operator!=(const const_iterator_to_const& y) const {
- return !operator==(y);
-}
-
-template <typename Container>
-inline
-const_iterator_to_const<Container>
-::const_iterator_to_const(const iterator_to_const<Container>& y)
- : base(y.base) {
-}
-
-/*! \relates const_iterator_to_const */
-template <typename Container>
-inline bool
-operator==(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y) {
- return const_iterator_to_const<Container>(x).operator==(y);
-}
-
-/*! \relates const_iterator_to_const */
-template <typename Container>
-inline bool
-operator!=(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y) {
- return !(x == y);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_iterator_to_const_inlines_hh)
diff --git a/src/iterator_to_const.types.hh b/src/iterator_to_const.types.hh
deleted file mode 100644
index 29e2157..0000000
--- a/src/iterator_to_const.types.hh
+++ /dev/null
@@ -1,26 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_iterator_to_const_types_hh
-#define PPL_iterator_to_const_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Container>
-class iterator_to_const;
-
-template <typename Container>
-class const_iterator_to_const;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_iterator_to_const_types_hh)
diff --git a/src/iterator_to_const_defs.hh b/src/iterator_to_const_defs.hh
new file mode 100644
index 0000000..74a889b
--- /dev/null
+++ b/src/iterator_to_const_defs.hh
@@ -0,0 +1,221 @@
+/* iterator_to_const and const_iterator_to_const class declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_iterator_to_const_hh
+#define PPL_iterator_to_const_hh 1
+
+#include "iterator_to_const_types.hh"
+#include "Powerset_types.hh"
+//#include "Ask_Tell_types.hh"
+#include <iterator>
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An iterator on a sequence of read-only objects.
+/*! \ingroup PPL_CXX_interface
+ This template class implements a bidirectional <EM>read-only</EM>
+ iterator on the sequence of objects <CODE>Container</CODE>.
+ By using this iterator class it is not possible to modify the objects
+ contained in <CODE>Container</CODE>; rather, object modification has
+ to be implemented by object replacement, i.e., by using the methods
+ provided by <CODE>Container</CODE> to remove/insert objects.
+ Such a policy (a modifiable container of read-only objects) allows
+ for a reliable enforcement of invariants (such as sortedness of the
+ objects in the sequence).
+
+ \note
+ For any developers' need, suitable friend declarations allow for
+ accessing the low-level iterators on the sequence of objects.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Container>
+class Parma_Polyhedra_Library::iterator_to_const {
+private:
+ //! The type of the underlying mutable iterator.
+ typedef typename Container::iterator Base;
+
+ //! A shortcut for naming the const_iterator traits.
+ typedef typename
+ std::iterator_traits<typename Container::const_iterator> Traits;
+
+ //! A (mutable) iterator on the sequence of elements.
+ Base base;
+
+ //! Constructs from the lower-level iterator.
+ iterator_to_const(const Base& b);
+
+ friend class const_iterator_to_const<Container>;
+ template <typename T> friend class Powerset;
+
+public:
+ // Same traits of the const_iterator, therefore
+ // forbidding the direct modification of sequence elements.
+ typedef typename Traits::iterator_category iterator_category;
+ typedef typename Traits::value_type value_type;
+ typedef typename Traits::difference_type difference_type;
+ typedef typename Traits::pointer pointer;
+ typedef typename Traits::reference reference;
+
+ //! Default constructor.
+ iterator_to_const();
+
+ //! Copy constructor.
+ iterator_to_const(const iterator_to_const& y);
+
+ //! Dereference operator.
+ reference operator*() const;
+
+ //! Indirect access operator.
+ pointer operator->() const;
+
+ //! Prefix increment operator.
+ iterator_to_const& operator++();
+
+ //! Postfix increment operator.
+ iterator_to_const operator++(int);
+
+ //! Prefix decrement operator.
+ iterator_to_const& operator--();
+
+ //! Postfix decrement operator.
+ iterator_to_const operator--(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are identical.
+ */
+ bool operator==(const iterator_to_const& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are different.
+ */
+ bool operator!=(const iterator_to_const& y) const;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A %const_iterator on a sequence of read-only objects.
+/*! \ingroup PPL_CXX_interface
+ This class, besides implementing a read-only bidirectional iterator
+ on a read-only sequence of objects, ensures interoperability
+ with template class iterator_to_const.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Container>
+class Parma_Polyhedra_Library::const_iterator_to_const {
+private:
+ //! The type of the underlying %const_iterator.
+ typedef typename Container::const_iterator Base;
+
+ //! A shortcut for naming traits.
+ typedef typename std::iterator_traits<Base> Traits;
+
+ //! A %const_iterator on the sequence of elements.
+ Base base;
+
+ //! Constructs from the lower-level const_iterator.
+ const_iterator_to_const(const Base& b);
+
+ friend class iterator_to_const<Container>;
+ template <typename T> friend class Powerset;
+
+public:
+ // Same traits of the underlying const_iterator.
+ typedef typename Traits::iterator_category iterator_category;
+ typedef typename Traits::value_type value_type;
+ typedef typename Traits::difference_type difference_type;
+ typedef typename Traits::pointer pointer;
+ typedef typename Traits::reference reference;
+
+ //! Default constructor.
+ const_iterator_to_const();
+
+ //! Copy constructor.
+ const_iterator_to_const(const const_iterator_to_const& y);
+
+ //! Constructs from the corresponding non-const iterator.
+ const_iterator_to_const(const iterator_to_const<Container>& y);
+
+ //! Dereference operator.
+ reference operator*() const;
+
+ //! Indirect member selector.
+ pointer operator->() const;
+
+ //! Prefix increment operator.
+ const_iterator_to_const& operator++();
+
+ //! Postfix increment operator.
+ const_iterator_to_const operator++(int);
+
+ //! Prefix decrement operator.
+ const_iterator_to_const& operator--();
+
+ //! Postfix decrement operator.
+ const_iterator_to_const operator--(int);
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are identical.
+ */
+ bool operator==(const const_iterator_to_const& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if
+ \p *this and \p y are different.
+ */
+ bool operator!=(const const_iterator_to_const& y) const;
+};
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Mixed comparison operator: returns <CODE>true</CODE> if and only
+ if (the const version of) \p x is identical to \p y.
+
+ \relates const_iterator_to_const
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Container>
+bool
+operator==(const iterator_to_const<Container>& x,
+ const const_iterator_to_const<Container>& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ Mixed comparison operator: returns <CODE>true</CODE> if and only
+ if (the const version of) \p x is different from \p y.
+
+ \relates const_iterator_to_const
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename Container>
+bool
+operator!=(const iterator_to_const<Container>& x,
+ const const_iterator_to_const<Container>& y);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "iterator_to_const_inlines.hh"
+
+#endif // !defined(PPL_iterator_to_const_hh)
diff --git a/src/iterator_to_const_inlines.hh b/src/iterator_to_const_inlines.hh
new file mode 100644
index 0000000..1eb5e6b
--- /dev/null
+++ b/src/iterator_to_const_inlines.hh
@@ -0,0 +1,202 @@
+/* iterator_to_const and const_iterator_to_const class implementations:
+ inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_iterator_to_const_inlines_hh
+#define PPL_iterator_to_const_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Container>
+inline
+iterator_to_const<Container>::iterator_to_const()
+ : base() {
+}
+
+template <typename Container>
+inline
+iterator_to_const<Container>::iterator_to_const(const iterator_to_const& y)
+ : base(y.base) {
+}
+
+template <typename Container>
+inline
+iterator_to_const<Container>::iterator_to_const(const Base& b)
+ : base(b) {
+}
+
+template <typename Container>
+inline typename iterator_to_const<Container>::reference
+iterator_to_const<Container>::operator*() const {
+ return *base;
+}
+
+template <typename Container>
+inline typename iterator_to_const<Container>::pointer
+iterator_to_const<Container>::operator->() const {
+ return &*base;
+}
+
+template <typename Container>
+inline iterator_to_const<Container>&
+iterator_to_const<Container>::operator++() {
+ ++base;
+ return *this;
+}
+
+template <typename Container>
+inline iterator_to_const<Container>
+iterator_to_const<Container>::operator++(int) {
+ iterator_to_const tmp = *this;
+ operator++();
+ return tmp;
+}
+
+template <typename Container>
+inline iterator_to_const<Container>&
+iterator_to_const<Container>::operator--() {
+ --base;
+ return *this;
+}
+
+template <typename Container>
+inline iterator_to_const<Container>
+iterator_to_const<Container>::operator--(int) {
+ iterator_to_const tmp = *this;
+ operator--();
+ return tmp;
+}
+
+template <typename Container>
+inline bool
+iterator_to_const<Container>::operator==(const iterator_to_const& y) const {
+ return base == y.base;
+}
+
+template <typename Container>
+inline bool
+iterator_to_const<Container>::operator!=(const iterator_to_const& y) const {
+ return !operator==(y);
+}
+
+template <typename Container>
+inline
+const_iterator_to_const<Container>::const_iterator_to_const()
+ : base() {
+}
+
+template <typename Container>
+inline
+const_iterator_to_const<Container>
+::const_iterator_to_const(const const_iterator_to_const& y)
+ : base(y.base) {
+}
+
+template <typename Container>
+inline
+const_iterator_to_const<Container>::const_iterator_to_const(const Base& b)
+ : base(b) {
+}
+
+template <typename Container>
+inline typename const_iterator_to_const<Container>::reference
+const_iterator_to_const<Container>::operator*() const {
+ return *base;
+}
+
+template <typename Container>
+inline typename const_iterator_to_const<Container>::pointer
+const_iterator_to_const<Container>::operator->() const {
+ return &*base;
+}
+
+template <typename Container>
+inline const_iterator_to_const<Container>&
+const_iterator_to_const<Container>::operator++() {
+ ++base;
+ return *this;
+}
+
+template <typename Container>
+inline const_iterator_to_const<Container>
+const_iterator_to_const<Container>::operator++(int) {
+ const_iterator_to_const tmp = *this;
+ operator++();
+ return tmp;
+}
+
+template <typename Container>
+inline const_iterator_to_const<Container>&
+const_iterator_to_const<Container>::operator--() {
+ --base;
+ return *this;
+}
+
+template <typename Container>
+inline const_iterator_to_const<Container>
+const_iterator_to_const<Container>::operator--(int) {
+ const_iterator_to_const tmp = *this;
+ operator--();
+ return tmp;
+}
+
+template <typename Container>
+inline bool
+const_iterator_to_const<Container>
+::operator==(const const_iterator_to_const& y) const {
+ return base == y.base;
+}
+
+template <typename Container>
+inline bool
+const_iterator_to_const<Container>
+::operator!=(const const_iterator_to_const& y) const {
+ return !operator==(y);
+}
+
+template <typename Container>
+inline
+const_iterator_to_const<Container>
+::const_iterator_to_const(const iterator_to_const<Container>& y)
+ : base(y.base) {
+}
+
+/*! \relates const_iterator_to_const */
+template <typename Container>
+inline bool
+operator==(const iterator_to_const<Container>& x,
+ const const_iterator_to_const<Container>& y) {
+ return const_iterator_to_const<Container>(x).operator==(y);
+}
+
+/*! \relates const_iterator_to_const */
+template <typename Container>
+inline bool
+operator!=(const iterator_to_const<Container>& x,
+ const const_iterator_to_const<Container>& y) {
+ return !(x == y);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_iterator_to_const_inlines_hh)
diff --git a/src/iterator_to_const_types.hh b/src/iterator_to_const_types.hh
new file mode 100644
index 0000000..4b335a2
--- /dev/null
+++ b/src/iterator_to_const_types.hh
@@ -0,0 +1,26 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_iterator_to_const_types_hh
+#define PPL_iterator_to_const_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Container>
+class iterator_to_const;
+
+template <typename Container>
+class const_iterator_to_const;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_iterator_to_const_types_hh)
diff --git a/src/linearize.hh b/src/linearize.hh
index 1a074ae..a43ed21 100644
--- a/src/linearize.hh
+++ b/src/linearize.hh
@@ -1,6 +1,6 @@
/* Linearization function implementation.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,10 +24,10 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_linearize_hh
#define PPL_linearize_hh 1
-#include "Concrete_Expression.defs.hh"
-#include "Float.defs.hh"
-#include "Linear_Form.defs.hh"
-#include "Box.defs.hh"
+#include "Concrete_Expression_defs.hh"
+#include "Float_defs.hh"
+#include "Linear_Form_defs.hh"
+#include "Box_defs.hh"
#include <map>
namespace Parma_Polyhedra_Library {
@@ -826,7 +826,7 @@ linearize(const Concrete_Expression<Target>& expr,
result = FP_Linear_Form(variable_value->second);
/* FIXME: do we really need to contemplate the possibility
- that an unbounded linear form was saved into lf_store? */
+ that an unbounded linear form was saved into lf_store? */
return !result.overflows();
}
diff --git a/src/math_utilities.defs.hh b/src/math_utilities.defs.hh
deleted file mode 100644
index 4b8fc58..0000000
--- a/src/math_utilities.defs.hh
+++ /dev/null
@@ -1,110 +0,0 @@
-/* Declarations of some math utility functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_math_utilities_defs_hh
-#define PPL_math_utilities_defs_hh 1
-
-#include "Coefficient.types.hh"
-#include "Checked_Number.defs.hh"
-#include <gmpxx.h>
-
-namespace Parma_Polyhedra_Library {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Extract the numerator and denominator components of \p from.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
-numer_denom(const T& from,
- Coefficient& numer, Coefficient& denom);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Divides \p x by \p y into \p to, rounding the result towards plus infinity.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
-div_round_up(T& to,
- Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Assigns to \p x the minimum between \p x and \p y.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename N>
-void
-min_assign(N& x, const N& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Assigns to \p x the maximum between \p x and \p y.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename N>
-void
-max_assign(N& x, const N& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x is an even number.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_even(const T& x);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \f$x = -y\f$.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename T>
-typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_additive_inverse(const T& x, const T& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief
- If \f$g\f$ is the GCD of \p x and \p y, the values of \p x and \p y
- divided by \f$g\f$ are assigned to \p n_x and \p n_y, respectively.
-
- \note
- \p x and \p n_x may be the same object and likewise for
- \p y and \p n_y. Any other aliasing results in undefined behavior.
-*/
-#endif
-void
-normalize2(Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y,
- Coefficient& n_x, Coefficient& n_y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns <CODE>true</CODE> if and only if \p x is in canonical form.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-bool
-is_canonical(const mpq_class& x);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Returns a mask for the lowest \p n bits,
-#endif
-template <typename T>
-T
-low_bits_mask(unsigned n);
-
-} // namespace Parma_Polyhedra_Library
-
-#include "math_utilities.inlines.hh"
-
-#endif // !defined(PPL_math_utilities_defs_hh)
diff --git a/src/math_utilities.inlines.hh b/src/math_utilities.inlines.hh
deleted file mode 100644
index 75a9567..0000000
--- a/src/math_utilities.inlines.hh
+++ /dev/null
@@ -1,120 +0,0 @@
-/* Implementation of some math utility functions: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_math_utilities_inlines_hh
-#define PPL_math_utilities_inlines_hh 1
-
-#include "Coefficient.defs.hh"
-#include <limits>
-#include "assert.hh"
-
-namespace Parma_Polyhedra_Library {
-
-inline void
-normalize2(Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y,
- Coefficient& n_x, Coefficient& n_y) {
- PPL_DIRTY_TEMP_COEFFICIENT(gcd);
- gcd_assign(gcd, x, y);
- exact_div_assign(n_x, x, gcd);
- exact_div_assign(n_y, y, gcd);
-}
-
-template <typename T>
-inline T
-low_bits_mask(const unsigned n) {
- PPL_ASSERT(n < unsigned(std::numeric_limits<T>::digits));
- return ~((~static_cast<T>(0)) << n);
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
-numer_denom(const T& from,
- Coefficient& numer, Coefficient& denom) {
- PPL_ASSERT(!is_not_a_number(from)
- && !is_minus_infinity(from)
- && !is_plus_infinity(from));
- PPL_DIRTY_TEMP(mpq_class, q);
- assign_r(q, from, ROUND_NOT_NEEDED);
- numer = q.get_num();
- denom = q.get_den();
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
-div_round_up(T& to,
- Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y) {
- PPL_DIRTY_TEMP(mpq_class, q_x);
- PPL_DIRTY_TEMP(mpq_class, q_y);
- // Note: this code assumes that a Coefficient is always convertible
- // to an mpq_class without loss of precision.
- assign_r(q_x, x, ROUND_NOT_NEEDED);
- assign_r(q_y, y, ROUND_NOT_NEEDED);
- div_assign_r(q_x, q_x, q_y, ROUND_NOT_NEEDED);
- assign_r(to, q_x, ROUND_UP);
-}
-
-template <typename N>
-inline void
-min_assign(N& x, const N& y) {
- if (x > y)
- x = y;
-}
-
-template <typename N>
-inline void
-max_assign(N& x, const N& y) {
- if (x < y)
- x = y;
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_even(const T& x) {
- T mod;
- return umod_2exp_assign_r(mod, x, 1, ROUND_DIRECT | ROUND_STRICT_RELATION) == V_EQ
- && mod == 0;
-}
-
-template <typename T>
-inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
-is_additive_inverse(const T& x, const T& y) {
- T negated_x;
- return neg_assign_r(negated_x, x, ROUND_DIRECT | ROUND_STRICT_RELATION) == V_EQ
- && negated_x == y;
-}
-
-inline bool
-is_canonical(const mpq_class& x) {
- if (x.get_den() <= 0)
- return false;
- PPL_DIRTY_TEMP(mpq_class, temp);
- temp = x;
- temp.canonicalize();
- return temp.get_num() == x.get_num();
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_math_utilities_inlines_hh)
diff --git a/src/math_utilities_defs.hh b/src/math_utilities_defs.hh
new file mode 100644
index 0000000..8b13404
--- /dev/null
+++ b/src/math_utilities_defs.hh
@@ -0,0 +1,110 @@
+/* Declarations of some math utility functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_math_utilities_defs_hh
+#define PPL_math_utilities_defs_hh 1
+
+#include "Coefficient_types.hh"
+#include "Checked_Number_defs.hh"
+#include <gmpxx.h>
+
+namespace Parma_Polyhedra_Library {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Extract the numerator and denominator components of \p from.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
+numer_denom(const T& from,
+ Coefficient& numer, Coefficient& denom);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Divides \p x by \p y into \p to, rounding the result towards plus infinity.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
+div_round_up(T& to,
+ Coefficient_traits::const_reference x,
+ Coefficient_traits::const_reference y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Assigns to \p x the minimum between \p x and \p y.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename N>
+void
+min_assign(N& x, const N& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Assigns to \p x the maximum between \p x and \p y.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename N>
+void
+max_assign(N& x, const N& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x is an even number.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_even(const T& x);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \f$x = -y\f$.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_additive_inverse(const T& x, const T& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ If \f$g\f$ is the GCD of \p x and \p y, the values of \p x and \p y
+ divided by \f$g\f$ are assigned to \p n_x and \p n_y, respectively.
+
+ \note
+ \p x and \p n_x may be the same object and likewise for
+ \p y and \p n_y. Any other aliasing results in undefined behavior.
+*/
+#endif
+void
+normalize2(Coefficient_traits::const_reference x,
+ Coefficient_traits::const_reference y,
+ Coefficient& n_x, Coefficient& n_y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns <CODE>true</CODE> if and only if \p x is in canonical form.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+bool
+is_canonical(const mpq_class& x);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Returns a mask for the lowest \p n bits,
+#endif
+template <typename T>
+T
+low_bits_mask(unsigned n);
+
+} // namespace Parma_Polyhedra_Library
+
+#include "math_utilities_inlines.hh"
+
+#endif // !defined(PPL_math_utilities_defs_hh)
diff --git a/src/math_utilities_inlines.hh b/src/math_utilities_inlines.hh
new file mode 100644
index 0000000..671bb6b
--- /dev/null
+++ b/src/math_utilities_inlines.hh
@@ -0,0 +1,120 @@
+/* Implementation of some math utility functions: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_math_utilities_inlines_hh
+#define PPL_math_utilities_inlines_hh 1
+
+#include "Coefficient_defs.hh"
+#include <limits>
+#include "assert.hh"
+
+namespace Parma_Polyhedra_Library {
+
+inline void
+normalize2(Coefficient_traits::const_reference x,
+ Coefficient_traits::const_reference y,
+ Coefficient& n_x, Coefficient& n_y) {
+ PPL_DIRTY_TEMP_COEFFICIENT(gcd);
+ gcd_assign(gcd, x, y);
+ exact_div_assign(n_x, x, gcd);
+ exact_div_assign(n_y, y, gcd);
+}
+
+template <typename T>
+inline T
+low_bits_mask(const unsigned n) {
+ PPL_ASSERT(n < unsigned(std::numeric_limits<T>::digits));
+ return ~((~static_cast<T>(0)) << n);
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
+numer_denom(const T& from,
+ Coefficient& numer, Coefficient& denom) {
+ PPL_ASSERT(!is_not_a_number(from)
+ && !is_minus_infinity(from)
+ && !is_plus_infinity(from));
+ PPL_DIRTY_TEMP(mpq_class, q);
+ assign_r(q, from, ROUND_NOT_NEEDED);
+ numer = q.get_num();
+ denom = q.get_den();
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
+div_round_up(T& to,
+ Coefficient_traits::const_reference x,
+ Coefficient_traits::const_reference y) {
+ PPL_DIRTY_TEMP(mpq_class, q_x);
+ PPL_DIRTY_TEMP(mpq_class, q_y);
+ // Note: this code assumes that a Coefficient is always convertible
+ // to an mpq_class without loss of precision.
+ assign_r(q_x, x, ROUND_NOT_NEEDED);
+ assign_r(q_y, y, ROUND_NOT_NEEDED);
+ div_assign_r(q_x, q_x, q_y, ROUND_NOT_NEEDED);
+ assign_r(to, q_x, ROUND_UP);
+}
+
+template <typename N>
+inline void
+min_assign(N& x, const N& y) {
+ if (x > y)
+ x = y;
+}
+
+template <typename N>
+inline void
+max_assign(N& x, const N& y) {
+ if (x < y)
+ x = y;
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_even(const T& x) {
+ T mod;
+ return umod_2exp_assign_r(mod, x, 1, ROUND_DIRECT | ROUND_STRICT_RELATION) == V_EQ
+ && mod == 0;
+}
+
+template <typename T>
+inline typename Enable_If<Is_Native_Or_Checked<T>::value, bool>::type
+is_additive_inverse(const T& x, const T& y) {
+ T negated_x;
+ return neg_assign_r(negated_x, x, ROUND_DIRECT | ROUND_STRICT_RELATION) == V_EQ
+ && negated_x == y;
+}
+
+inline bool
+is_canonical(const mpq_class& x) {
+ if (x.get_den() <= 0)
+ return false;
+ PPL_DIRTY_TEMP(mpq_class, temp);
+ temp = x;
+ temp.canonicalize();
+ return temp.get_num() == x.get_num();
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_math_utilities_inlines_hh)
diff --git a/src/max_space_dimension.hh b/src/max_space_dimension.hh
index 5476f01..80c727a 100644
--- a/src/max_space_dimension.hh
+++ b/src/max_space_dimension.hh
@@ -1,6 +1,6 @@
/* Definition of functions yielding maximal space dimensions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,13 +24,13 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_max_space_dimension_hh
#define PPL_max_space_dimension_hh 1
-#include "Polyhedron.defs.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-#include "Grid.defs.hh"
+#include "Polyhedron_defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+#include "Grid_defs.hh"
#include "Rational_Box.hh"
-#include "BD_Shape.defs.hh"
-#include "Octagonal_Shape.defs.hh"
+#include "BD_Shape_defs.hh"
+#include "Octagonal_Shape_defs.hh"
#include <algorithm>
namespace Parma_Polyhedra_Library {
diff --git a/src/meta_programming.hh b/src/meta_programming.hh
index 9e18296..9a75fb3 100644
--- a/src/meta_programming.hh
+++ b/src/meta_programming.hh
@@ -1,6 +1,6 @@
/* Metaprogramming utilities.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -39,7 +39,7 @@ namespace Parma_Polyhedra_Library {
mandated by Section 9.4.2/4 of the C++ standard).
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define const_bool_nodef(name, value) \
+#define const_bool_nodef(name, value) \
enum const_bool_value_ ## name { PPL_U(name) = (value) }
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -68,9 +68,9 @@ namespace Parma_Polyhedra_Library {
mandated by Section 9.4.2/4 of the C++ standard).
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define const_value_nodef(type, name, value) \
+#define const_value_nodef(type, name, value) \
static type PPL_U(name)() { \
- return (value); \
+ return (value); \
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -85,10 +85,10 @@ namespace Parma_Polyhedra_Library {
mandated by Section 9.4.2/4 of the C++ standard).
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define const_ref_nodef(type, name, value) \
+#define const_ref_nodef(type, name, value) \
static const type& PPL_U(name)() { \
static type PPL_U(name) = (value); \
- return (name); \
+ return (name); \
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -116,10 +116,10 @@ struct Compile_Time_Check<true> {
};
#define PPL_COMPILE_TIME_CHECK_NAME(suffix) compile_time_check_ ## suffix
-#define PPL_COMPILE_TIME_CHECK_AUX(e, suffix) \
- enum anonymous_enum_compile_time_check_ ## suffix { \
+#define PPL_COMPILE_TIME_CHECK_AUX(e, suffix) \
+ enum anonymous_enum_compile_time_check_ ## suffix { \
/* If e evaluates to false, then the sizeof cannot be compiled. */ \
- PPL_COMPILE_TIME_CHECK_NAME(suffix) \
+ PPL_COMPILE_TIME_CHECK_NAME(suffix) \
= sizeof(Parma_Polyhedra_Library::Compile_Time_Check<(e)>) \
}
diff --git a/src/mp_std_bits.cc b/src/mp_std_bits.cc
index d353c19..0ca7bdb 100644
--- a/src/mp_std_bits.cc
+++ b/src/mp_std_bits.cc
@@ -1,7 +1,7 @@
/* Definitions of specializations of std::numeric_limits objects for
multi-precision types.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,7 +23,10 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "mp_std_bits.defs.hh"
+#include "mp_std_bits_defs.hh"
+
+#if __GNU_MP_VERSION < 5 \
+ || (__GNU_MP_VERSION == 5 && __GNU_MP_VERSION_MINOR < 1)
const bool std::numeric_limits<mpz_class>::is_specialized;
const int std::numeric_limits<mpz_class>::digits;
@@ -45,7 +48,7 @@ const bool std::numeric_limits<mpz_class>::is_iec559;
const bool std::numeric_limits<mpz_class>::is_bounded;
const bool std::numeric_limits<mpz_class>::is_modulo;
const bool std::numeric_limits<mpz_class>::traps;
-const bool std::numeric_limits<mpz_class>::tininess_before;
+const bool std::numeric_limits<mpz_class>::tinyness_before;
const std::float_round_style std::numeric_limits<mpz_class>::round_style;
const bool std::numeric_limits<mpq_class>::is_specialized;
@@ -68,5 +71,8 @@ const bool std::numeric_limits<mpq_class>::is_iec559;
const bool std::numeric_limits<mpq_class>::is_bounded;
const bool std::numeric_limits<mpq_class>::is_modulo;
const bool std::numeric_limits<mpq_class>::traps;
-const bool std::numeric_limits<mpq_class>::tininess_before;
+const bool std::numeric_limits<mpq_class>::tinyness_before;
const std::float_round_style std::numeric_limits<mpq_class>::round_style;
+
+#endif // __GNU_MP_VERSION < 5
+ // || (__GNU_MP_VERSION == 5 && __GNU_MP_VERSION_MINOR < 1)
diff --git a/src/mp_std_bits.defs.hh b/src/mp_std_bits.defs.hh
deleted file mode 100644
index d1ecf54..0000000
--- a/src/mp_std_bits.defs.hh
+++ /dev/null
@@ -1,169 +0,0 @@
-/* Declarations of specializations of std:: objects for
- multi-precision types.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_mp_std_bits_defs_hh
-#define PPL_mp_std_bits_defs_hh 1
-
-#include <gmpxx.h>
-#include <limits>
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(mpz_class& x, mpz_class& y);
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Swaps \p x with \p y.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-void swap(mpq_class& x, mpq_class& y);
-
-namespace std {
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Specialization of std::numeric_limits.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <>
-class numeric_limits<mpz_class> {
-private:
- typedef mpz_class Type;
-
-public:
- static const bool is_specialized = true;
- static const int digits = 0;
- static const int digits10 = 0;
- static const bool is_signed = true;
- static const bool is_integer = true;
- static const bool is_exact = true;
- static const int radix = 2;
- static const int min_exponent = 0;
- static const int min_exponent10 = 0;
- static const int max_exponent = 0;
- static const int max_exponent10 = 0;
- static const bool has_infinity = false;
- static const bool has_quiet_NaN = false;
- static const bool has_signaling_NaN = false;
- static const float_denorm_style has_denorm = denorm_absent;
- static const bool has_denorm_loss = false;
- static const bool is_iec559 = false;
- static const bool is_bounded = false;
- static const bool is_modulo = false;
- static const bool traps = false;
- static const bool tininess_before = false;
- static const float_round_style round_style = round_toward_zero;
-
- static Type min() {
- return static_cast<Type>(0);
- }
-
- static Type max() {
- return static_cast<Type>(0);
- }
-
- static Type epsilon() {
- return static_cast<Type>(0);
- }
-
- static Type round_error() {
- return static_cast<Type>(0);
- }
-
- static Type infinity() {
- return static_cast<Type>(0);
- }
-
- static Type quiet_NaN() {
- return static_cast<Type>(0);
- }
-
- static Type denorm_min() {
- return static_cast<Type>(1);
- }
-};
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! Specialization of std::numeric_limits.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <>
-class numeric_limits<mpq_class> {
-private:
- typedef mpq_class Type;
-
-public:
- static const bool is_specialized = true;
- static const int digits = 0;
- static const int digits10 = 0;
- static const bool is_signed = true;
- static const bool is_integer = false;
- static const bool is_exact = true;
- static const int radix = 2;
- static const int min_exponent = 0;
- static const int min_exponent10 = 0;
- static const int max_exponent = 0;
- static const int max_exponent10 = 0;
- static const bool has_infinity = false;
- static const bool has_quiet_NaN = false;
- static const bool has_signaling_NaN = false;
- static const float_denorm_style has_denorm = denorm_absent;
- static const bool has_denorm_loss = false;
- static const bool is_iec559 = false;
- static const bool is_bounded = false;
- static const bool is_modulo = false;
- static const bool traps = false;
- static const bool tininess_before = false;
- static const float_round_style round_style = round_toward_zero;
-
- static Type min() {
- return static_cast<Type>(0);
- }
-
- static Type max() {
- return static_cast<Type>(0);
- }
-
- static Type epsilon() {
- return static_cast<Type>(0);
- }
-
- static Type round_error() {
- return static_cast<Type>(0);
- }
-
- static Type infinity() {
- return static_cast<Type>(0);
- }
-
- static Type quiet_NaN() {
- return static_cast<Type>(0);
- }
-
- static Type denorm_min() {
- return static_cast<Type>(0);
- }
-};
-
-} // namespace std
-
-#include "mp_std_bits.inlines.hh"
-
-#endif // !defined(PPL_mp_std_bits_defs_hh)
diff --git a/src/mp_std_bits.inlines.hh b/src/mp_std_bits.inlines.hh
deleted file mode 100644
index 30b3160..0000000
--- a/src/mp_std_bits.inlines.hh
+++ /dev/null
@@ -1,38 +0,0 @@
-/* Definitions of specializations of std:: functions and methods for
- multi-precision types.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_mp_std_bits_inlines_hh
-#define PPL_mp_std_bits_inlines_hh 1
-
-inline void
-swap(mpz_class& x, mpz_class& y) {
- mpz_swap(x.get_mpz_t(), y.get_mpz_t());
-}
-
-inline void
-swap(mpq_class& x, mpq_class& y) {
- mpq_swap(x.get_mpq_t(), y.get_mpq_t());
-}
-
-#endif // !defined(PPL_mp_std_bits_inlines_hh)
diff --git a/src/mp_std_bits_defs.hh b/src/mp_std_bits_defs.hh
new file mode 100644
index 0000000..19447b8
--- /dev/null
+++ b/src/mp_std_bits_defs.hh
@@ -0,0 +1,175 @@
+/* Declarations of specializations of std:: objects for
+ multi-precision types.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_mp_std_bits_defs_hh
+#define PPL_mp_std_bits_defs_hh 1
+
+#include <gmpxx.h>
+#include <limits>
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(mpz_class& x, mpz_class& y);
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Swaps \p x with \p y.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+void swap(mpq_class& x, mpq_class& y);
+
+#if __GNU_MP_VERSION < 5 \
+ || (__GNU_MP_VERSION == 5 && __GNU_MP_VERSION_MINOR < 1)
+
+namespace std {
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Specialization of std::numeric_limits.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <>
+class numeric_limits<mpz_class> {
+private:
+ typedef mpz_class Type;
+
+public:
+ static const bool is_specialized = true;
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const bool is_signed = true;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+
+ static Type min() {
+ return static_cast<Type>(0);
+ }
+
+ static Type max() {
+ return static_cast<Type>(0);
+ }
+
+ static Type epsilon() {
+ return static_cast<Type>(0);
+ }
+
+ static Type round_error() {
+ return static_cast<Type>(0);
+ }
+
+ static Type infinity() {
+ return static_cast<Type>(0);
+ }
+
+ static Type quiet_NaN() {
+ return static_cast<Type>(0);
+ }
+
+ static Type denorm_min() {
+ return static_cast<Type>(1);
+ }
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Specialization of std::numeric_limits.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <>
+class numeric_limits<mpq_class> {
+private:
+ typedef mpq_class Type;
+
+public:
+ static const bool is_specialized = true;
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const bool is_signed = true;
+ static const bool is_integer = false;
+ static const bool is_exact = true;
+ static const int radix = 2;
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+
+ static Type min() {
+ return static_cast<Type>(0);
+ }
+
+ static Type max() {
+ return static_cast<Type>(0);
+ }
+
+ static Type epsilon() {
+ return static_cast<Type>(0);
+ }
+
+ static Type round_error() {
+ return static_cast<Type>(0);
+ }
+
+ static Type infinity() {
+ return static_cast<Type>(0);
+ }
+
+ static Type quiet_NaN() {
+ return static_cast<Type>(0);
+ }
+
+ static Type denorm_min() {
+ return static_cast<Type>(0);
+ }
+};
+
+} // namespace std
+
+#endif // __GNU_MP_VERSION < 5
+ // || (__GNU_MP_VERSION == 5 && __GNU_MP_VERSION_MINOR < 1)
+
+#include "mp_std_bits_inlines.hh"
+
+#endif // !defined(PPL_mp_std_bits_defs_hh)
diff --git a/src/mp_std_bits_inlines.hh b/src/mp_std_bits_inlines.hh
new file mode 100644
index 0000000..90f1b24
--- /dev/null
+++ b/src/mp_std_bits_inlines.hh
@@ -0,0 +1,38 @@
+/* Definitions of specializations of std:: functions and methods for
+ multi-precision types.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_mp_std_bits_inlines_hh
+#define PPL_mp_std_bits_inlines_hh 1
+
+inline void
+swap(mpz_class& x, mpz_class& y) {
+ mpz_swap(x.get_mpz_t(), y.get_mpz_t());
+}
+
+inline void
+swap(mpq_class& x, mpq_class& y) {
+ mpq_swap(x.get_mpq_t(), y.get_mpq_t());
+}
+
+#endif // !defined(PPL_mp_std_bits_inlines_hh)
diff --git a/src/namespaces.hh b/src/namespaces.hh
index 3a67042..7f0c45b 100644
--- a/src/namespaces.hh
+++ b/src/namespaces.hh
@@ -1,6 +1,6 @@
/* Documentation for used namespaces.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -44,7 +44,7 @@ namespace Parma_Polyhedra_Library {
\code
const Constraint_System& cs = ...;
copy(cs.begin(), cs.end(),
- ostream_iterator<Constraint>(cout, "\n"));
+ ostream_iterator<Constraint>(cout, "\n"));
\endcode
the Parma_Polyhedra_Library namespace must be suitably extended.
This can be done as follows:
diff --git a/src/ppl-config.cc.in b/src/ppl-config.cc.in
index 48265f2..78c23bf 100644
--- a/src/ppl-config.cc.in
+++ b/src/ppl-config.cc.in
@@ -1,7 +1,7 @@
/* A program to enquire about the configuration of the PPL -*- C++ -*-
and of the applications using it.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -254,7 +254,7 @@ struct option long_options[] = {
#ifdef PPL_HAVE_GETOPT_H
int option_index = 0;
int c = getopt_long(argc, argv, OPTION_LETTERS, long_options,
- &option_index);
+ &option_index);
#else
int c = getopt(argc, argv, OPTION_LETTERS);
#endif
@@ -275,47 +275,47 @@ struct option long_options[] = {
// --format
case 'F':
if (strcaseeq(optarg, "plain"))
- required_format = PLAIN;
+ required_format = PLAIN;
else if (strcaseeq(optarg, "makefile"))
- required_format = MAKEFILE;
+ required_format = MAKEFILE;
else if (strcaseeq(optarg, "sh"))
- required_format = SH;
+ required_format = SH;
else if (strcaseeq(optarg, "csh"))
- required_format = CSH;
+ required_format = CSH;
else
- fatal("invalid argument `%s' to --format: "
- "must be `plain', `makefile', `sh' or `csh'",
- optarg);
+ fatal("invalid argument `%s' to --format: "
+ "must be `plain', `makefile', `sh' or `csh'",
+ optarg);
break;
// --interface
case 'I':
if (strcaseeq(optarg, "C++"))
- required_interface = CXX;
+ required_interface = CXX;
else if (strcaseeq(optarg, "C"))
- required_interface = C;
+ required_interface = C;
else if (strcaseeq(optarg, "Ciao-Prolog"))
- required_interface = CIAO_PROLOG;
+ required_interface = CIAO_PROLOG;
else if (strcaseeq(optarg, "GNU-Prolog"))
- required_interface = GNU_PROLOG;
+ required_interface = GNU_PROLOG;
else if (strcaseeq(optarg, "SICStus-Prolog"))
- required_interface = SICSTUS_PROLOG;
+ required_interface = SICSTUS_PROLOG;
else if (strcaseeq(optarg, "SWI-Prolog"))
- required_interface = SWI_PROLOG;
+ required_interface = SWI_PROLOG;
else if (strcaseeq(optarg, "XSB-Prolog"))
- required_interface = XSB_PROLOG;
+ required_interface = XSB_PROLOG;
else if (strcaseeq(optarg, "YAP-Prolog"))
- required_interface = YAP_PROLOG;
+ required_interface = YAP_PROLOG;
else if (strcaseeq(optarg, "OCaml"))
- required_interface = OCAML;
+ required_interface = OCAML;
else if (strcaseeq(optarg, "Java"))
- required_interface = JAVA;
+ required_interface = JAVA;
else
- fatal("invalid argument `%s' to --interface: "
- "must be `C++', `C', `Ciao-Prolog', `GNU-Prolog', "
+ fatal("invalid argument `%s' to --interface: "
+ "must be `C++', `C', `Ciao-Prolog', `GNU-Prolog', "
"`SICStus-Prolog', `SWI-Prolog', `XSB-Prolog', `YAP-Prolog', "
- "`OCaml' or `Java'",
- optarg);
+ "`OCaml' or `Java'",
+ optarg);
break;
// --application
@@ -331,27 +331,27 @@ struct option long_options[] = {
// --prefix
case 'p':
if (optarg != 0) {
- prefix = optarg;
- if (!exec_prefix_set) {
- exec_prefix = optarg;
- exec_prefix_set = true;
- }
+ prefix = optarg;
+ if (!exec_prefix_set) {
+ exec_prefix = optarg;
+ exec_prefix_set = true;
+ }
}
else {
- required_prefix = true;
- ++num_required_items;
+ required_prefix = true;
+ ++num_required_items;
}
break;
// --exec_prefix
case 'e':
if (optarg != 0) {
- exec_prefix = optarg;
- exec_prefix_set = true;
+ exec_prefix = optarg;
+ exec_prefix_set = true;
}
else {
- required_exec_prefix = true;
- ++num_required_items;
+ required_exec_prefix = true;
+ ++num_required_items;
}
break;
@@ -557,7 +557,7 @@ portray(const char* name, long n) {
void
replace(std::string& s,
- const std::string& pattern, const std::string& replacement) {
+ const std::string& pattern, const std::string& replacement) {
std::string::size_type pos = 0;
while (true) {
pos = s.find(pattern, pos);
@@ -590,7 +590,7 @@ main(int argc, char* argv[]) try {
if (strcmp(PPL_VERSION, PPL::version()) != 0)
fatal("was compiled with PPL version %s, but linked with version %s",
- PPL_VERSION, PPL::version());
+ PPL_VERSION, PPL::version());
// Initialize prefixes.
prefix = "@prefix@";
@@ -648,18 +648,18 @@ main(int argc, char* argv[]) try {
// `/usr/include' is the standard include directory:
// thus it needs not be specified.
if (s == "/usr/include")
- s = cppflags;
+ s = cppflags;
else {
- s = "-I" + s;
- // Avoid duplicating the -I options.
- if (cppflags.find(s) != std::string::npos)
- s = "";
- if (s.length() > 0 && strlen("@CPPFLAGS@") > 0)
- s += ' ';
- s += "@CPPFLAGS@";
+ s = "-I" + s;
+ // Avoid duplicating the -I options.
+ if (cppflags.find(s) != std::string::npos)
+ s = "";
+ if (s.length() > 0 && strlen("@CPPFLAGS@") > 0)
+ s += ' ';
+ s += "@CPPFLAGS@";
}
if (s.length() > 0 && strlen("@extra_includes@") > 0)
- s += ' ';
+ s += ' ';
s += "@extra_includes@";
portray("CPPFLAGS", s);
}
@@ -685,23 +685,23 @@ main(int argc, char* argv[]) try {
s = "-L" + s;
// Avoid duplicating the -L options.
if (ldflags.find(s) != std::string::npos)
- s = "";
+ s = "";
if (s.length() > 0 && ldflags.length() > 0)
- s += ' ';
+ s += ' ';
s += ldflags;
}
if (required_library) {
if (s.length() > 0 && strlen("@extra_libraries@") > 0)
- s += ' ';
+ s += ' ';
s += "@extra_libraries@";
}
else {
assert(required_application);
if (s.length() > 0)
- s += ' ';
+ s += ' ';
s += "-lppl";
if (required_interface == C)
- s += " -lppl_c";
+ s += " -lppl_c";
s += " -lgmpxx -lgmp";
}
portray("LDFLAGS", s);
diff --git a/src/ppl.hh.dist b/src/ppl.hh.dist
index 61b9272..1ba06f4 100644
--- a/src/ppl.hh.dist
+++ b/src/ppl.hh.dist
@@ -1,6 +1,6 @@
/* This is the header file of the Parma Polyhedra Library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -245,7 +245,7 @@ site: http://bugseng.com/products/ppl/ . */
#define PPL_PACKAGE_NAME "the Parma Polyhedra Library"
/* Define to the full name and version of this package. */
-#define PPL_PACKAGE_STRING "the Parma Polyhedra Library 1.0"
+#define PPL_PACKAGE_STRING "the Parma Polyhedra Library 1.1pre8"
/* Define to the one symbol short name of this package. */
#define PPL_PACKAGE_TARNAME "ppl"
@@ -254,7 +254,7 @@ site: http://bugseng.com/products/ppl/ . */
#define PACKAGE_URL ""
/* Define to the version of this package. */
-#define PPL_PACKAGE_VERSION "1.0"
+#define PPL_PACKAGE_VERSION "1.1pre8"
/* ABI-breaking extra assertions are enabled when this is defined. */
/* #undef PPL_ABI_BREAKING_EXTRA_DEBUG */
@@ -273,7 +273,7 @@ site: http://bugseng.com/products/ppl/ . */
#define PPL_COEFFICIENT_TYPE mpz_class
/* This contains the options with which `configure' was invoked. */
-#define PPL_CONFIGURE_OPTIONS " '--with-java=/usr/lib/jvm/java-7-openjdk-amd64'"
+#define PPL_CONFIGURE_OPTIONS " '--libdir=/usr/local/lib64' '--with-java=/usr/lib/jvm/java-7-openjdk-amd64' '--enable-interfaces=c++,c,ocaml,java,swi_prolog'"
/* The unique code of the binary format of C++ doubles, if supported;
undefined otherwise. */
@@ -458,7 +458,7 @@ site: http://bugseng.com/products/ppl/ . */
//! The minor number of the PPL version.
/*! \ingroup PPL_CXX_interface */
-#define PPL_VERSION_MINOR 0
+#define PPL_VERSION_MINOR 1
//! The revision number of the PPL version.
/*! \ingroup PPL_CXX_interface */
@@ -469,7 +469,7 @@ site: http://bugseng.com/products/ppl/ . */
releases and nonzero for development snapshots.
\ingroup PPL_CXX_interface
*/
-#define PPL_VERSION_BETA 0
+#define PPL_VERSION_BETA 8
//! A string containing the PPL version.
/*! \ingroup PPL_CXX_interface
@@ -483,7 +483,7 @@ site: http://bugseng.com/products/ppl/ . */
PPL_VERSION_BETA is zero, <CODE>M "." m "." r "pre" b</CODE> if
neither PPL_VERSION_REVISION nor PPL_VERSION_BETA are zero.
*/
-#define PPL_VERSION "1.0"
+#define PPL_VERSION "1.1pre8"
namespace Parma_Polyhedra_Library {
@@ -522,7 +522,7 @@ const char* banner();
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/namespaces.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/namespaces.hh line 1. */
/* Documentation for used namespaces.
*/
@@ -547,7 +547,7 @@ namespace Parma_Polyhedra_Library {
\code
const Constraint_System& cs = ...;
copy(cs.begin(), cs.end(),
- ostream_iterator<Constraint>(cout, "\n"));
+ ostream_iterator<Constraint>(cout, "\n"));
\endcode
the Parma_Polyhedra_Library namespace must be suitably extended.
This can be done as follows:
@@ -684,7 +684,7 @@ namespace std {
} // namespace std
-/* Automatically generated from PPL source file ../src/Interval_Info.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_Info_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -697,20 +697,20 @@ class Interval_Info_Bitset;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked_numeric_limits.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_numeric_limits.hh line 1. */
/* Specializations of std::numeric_limits for "checked" types.
*/
-/* Automatically generated from PPL source file ../src/Checked_Number.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_defs.hh line 1. */
/* Checked_Number class declaration.
*/
-/* Automatically generated from PPL source file ../src/Checked_Number.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_types.hh line 1. */
-/* Automatically generated from PPL source file ../src/Coefficient_traits_template.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_traits_template.hh line 1. */
/* Coefficient_traits_template class declaration.
*/
@@ -727,7 +727,7 @@ struct Coefficient_traits_template {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Checked_Number.types.hh line 17. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_types.hh line 17. */
namespace Parma_Polyhedra_Library {
@@ -738,7 +738,7 @@ class Checked_Number;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_defs.hh line 1. */
/* Abstract checked arithmetic function container.
*/
@@ -746,7 +746,7 @@ class Checked_Number;
#include <cassert>
#include <iostream>
#include <gmpxx.h>
-/* Automatically generated from PPL source file ../src/mp_std_bits.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/mp_std_bits_defs.hh line 1. */
/* Declarations of specializations of std:: objects for
multi-precision types.
*/
@@ -765,6 +765,9 @@ void swap(mpz_class& x, mpz_class& y);
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
void swap(mpq_class& x, mpq_class& y);
+#if __GNU_MP_VERSION < 5 \
+ || (__GNU_MP_VERSION == 5 && __GNU_MP_VERSION_MINOR < 1)
+
namespace std {
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -796,7 +799,7 @@ public:
static const bool is_bounded = false;
static const bool is_modulo = false;
static const bool traps = false;
- static const bool tininess_before = false;
+ static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
static Type min() {
@@ -857,7 +860,7 @@ public:
static const bool is_bounded = false;
static const bool is_modulo = false;
static const bool traps = false;
- static const bool tininess_before = false;
+ static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
static Type min() {
@@ -891,7 +894,10 @@ public:
} // namespace std
-/* Automatically generated from PPL source file ../src/mp_std_bits.inlines.hh line 1. */
+#endif // __GNU_MP_VERSION < 5
+ // || (__GNU_MP_VERSION == 5 && __GNU_MP_VERSION_MINOR < 1)
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/mp_std_bits_inlines.hh line 1. */
/* Definitions of specializations of std:: functions and methods for
multi-precision types.
*/
@@ -907,14 +913,14 @@ swap(mpq_class& x, mpq_class& y) {
mpq_swap(x.get_mpq_t(), y.get_mpq_t());
}
-/* Automatically generated from PPL source file ../src/mp_std_bits.defs.hh line 168. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/mp_std_bits_defs.hh line 174. */
-/* Automatically generated from PPL source file ../src/Temp.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Temp_defs.hh line 1. */
/* Temp_* classes declarations.
*/
-/* Automatically generated from PPL source file ../src/meta_programming.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/meta_programming.hh line 1. */
/* Metaprogramming utilities.
*/
@@ -934,7 +940,7 @@ namespace Parma_Polyhedra_Library {
mandated by Section 9.4.2/4 of the C++ standard).
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define const_bool_nodef(name, value) \
+#define const_bool_nodef(name, value) \
enum const_bool_value_ ## name { PPL_U(name) = (value) }
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -963,9 +969,9 @@ namespace Parma_Polyhedra_Library {
mandated by Section 9.4.2/4 of the C++ standard).
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define const_value_nodef(type, name, value) \
+#define const_value_nodef(type, name, value) \
static type PPL_U(name)() { \
- return (value); \
+ return (value); \
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -980,10 +986,10 @@ namespace Parma_Polyhedra_Library {
mandated by Section 9.4.2/4 of the C++ standard).
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-#define const_ref_nodef(type, name, value) \
+#define const_ref_nodef(type, name, value) \
static const type& PPL_U(name)() { \
static type PPL_U(name) = (value); \
- return (name); \
+ return (name); \
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -1011,10 +1017,10 @@ struct Compile_Time_Check<true> {
};
#define PPL_COMPILE_TIME_CHECK_NAME(suffix) compile_time_check_ ## suffix
-#define PPL_COMPILE_TIME_CHECK_AUX(e, suffix) \
- enum anonymous_enum_compile_time_check_ ## suffix { \
+#define PPL_COMPILE_TIME_CHECK_AUX(e, suffix) \
+ enum anonymous_enum_compile_time_check_ ## suffix { \
/* If e evaluates to false, then the sizeof cannot be compiled. */ \
- PPL_COMPILE_TIME_CHECK_NAME(suffix) \
+ PPL_COMPILE_TIME_CHECK_NAME(suffix) \
= sizeof(Parma_Polyhedra_Library::Compile_Time_Check<(e)>) \
}
@@ -1233,12 +1239,12 @@ template <> struct Is_Native<mpq_class> : public True { };
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Slow_Copy.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Slow_Copy.hh line 1. */
/* Basic Slow_Copy classes declarations.
*/
-/* Automatically generated from PPL source file ../src/Slow_Copy.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Slow_Copy.hh line 28. */
#include <gmpxx.h>
namespace Parma_Polyhedra_Library {
@@ -1272,7 +1278,7 @@ struct Slow_Copy<mpq_class> : public True {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Temp.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Temp_defs.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -1384,12 +1390,12 @@ class Dirty_Temp<T, typename Enable_If<!Slow_Copy<T>::value>::type>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Temp.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Temp_inlines.hh line 1. */
/* Temp_* classes implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Temp.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Temp_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -1409,7 +1415,7 @@ template <typename T>
inline Temp_Item<T>&
Temp_Item<T>::obtain() {
if (free_list_head != 0) {
- Temp_Item* p = free_list_head;
+ Temp_Item* const p = free_list_head;
free_list_head = free_list_head->next;
return *p;
}
@@ -1455,11 +1461,11 @@ Temp_Value_Holder<T>::item() {
} // namespace Parma_Polyhedra_Library
-#define PPL_DIRTY_TEMP(T, id) \
+#define PPL_DIRTY_TEMP(T, id) \
Parma_Polyhedra_Library::Dirty_Temp<PPL_U(T)> holder_ ## id; \
PPL_U(T)& PPL_U(id) = holder_ ## id.item()
-/* Automatically generated from PPL source file ../src/Temp.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Temp_templates.hh line 1. */
/* Temp_* classes implementation: non-inline template members.
*/
@@ -1471,14 +1477,14 @@ Temp_Item<T>* Temp_Item<T>::free_list_head = 0;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Temp.defs.hh line 142. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Temp_defs.hh line 142. */
-/* Automatically generated from PPL source file ../src/Rounding_Dir.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rounding_Dir_defs.hh line 1. */
/* Declaration of Rounding_Dir and related functions.
*/
-/* Automatically generated from PPL source file ../src/Result.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Result_defs.hh line 1. */
/* Result enum and supporting function declarations.
*/
@@ -1631,13 +1637,13 @@ Result operator|(Result x, Result y);
/*! \ingroup PPL_CXX_interface */
Result operator-(Result x, Result y);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Extracts the value class part of \p r (representable number,
unrepresentable minus/plus infinity or nan).
*/
Result_Class result_class(Result r);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Extracts the relation part of \p r.
*/
Result_Relation result_relation(Result r);
@@ -1649,12 +1655,12 @@ Result result_relation_class(Result r);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Result.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Result_inlines.hh line 1. */
/* Result supporting functions implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/assert.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/assert.hh line 1. */
/* Implementation of PPL assert-like macros.
*/
@@ -1782,42 +1788,42 @@ bool copy_contains(T x_copy, T y_copy) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Result.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Result_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
/*! \ingroup PPL_CXX_interface */
inline Result
operator&(Result x, Result y) {
- unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
+ const unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
return static_cast<Result>(res);
}
/*! \ingroup PPL_CXX_interface */
inline Result
operator|(Result x, Result y) {
- unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
+ const unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
return static_cast<Result>(res);
}
/*! \ingroup PPL_CXX_interface */
inline Result
operator-(Result x, Result y) {
- Result y_neg = static_cast<Result>(~static_cast<unsigned>(y));
+ const Result y_neg = static_cast<Result>(~static_cast<unsigned>(y));
return x & y_neg;
}
/*! \ingroup PPL_CXX_interface */
inline Result_Class
result_class(Result r) {
- Result rc = r & static_cast<Result>(VC_MASK);
+ const Result rc = r & static_cast<Result>(VC_MASK);
return static_cast<Result_Class>(rc);
}
/*! \ingroup PPL_CXX_interface */
inline Result_Relation
result_relation(Result r) {
- Result rc = r & static_cast<Result>(VR_MASK);
+ const Result rc = r & static_cast<Result>(VR_MASK);
return static_cast<Result_Relation>(rc);
}
@@ -1857,14 +1863,14 @@ result_representable(Result r) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Result.defs.hh line 194. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Result_defs.hh line 194. */
-/* Automatically generated from PPL source file ../src/fpu.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_defs.hh line 1. */
/* Floating point unit related functions.
*/
-/* Automatically generated from PPL source file ../src/fpu.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_types.hh line 1. */
#ifdef PPL_HAVE_IEEEFP_H
@@ -1878,7 +1884,7 @@ enum fpu_rounding_control_word_type {};
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/compiler.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/compiler.hh line 1. */
/* C++ compiler related stuff.
*/
@@ -2080,7 +2086,7 @@ ctz(unsigned long long ull) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/fpu.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_defs.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -2138,7 +2144,7 @@ fpu_check_inexact();
#if PPL_CAN_CONTROL_FPU
#if defined(__i386__) && (defined(__GNUC__) || defined(__INTEL_COMPILER))
-/* Automatically generated from PPL source file ../src/fpu-ia32.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu-ia32_inlines.hh line 1. */
/* IA-32 floating point unit inline related functions.
*/
@@ -2319,12 +2325,12 @@ fpu_check_inexact() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/fpu.defs.hh line 87. */
-#elif defined(PPL_HAVE_IEEEFP_H) \
- && (defined(__sparc) \
- || defined(sparc) \
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_defs.hh line 87. */
+#elif defined(PPL_HAVE_IEEEFP_H) \
+ && (defined(__sparc) \
+ || defined(sparc) \
|| defined(__sparc__))
-/* Automatically generated from PPL source file ../src/fpu-sparc.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu-sparc_inlines.hh line 1. */
/* SPARC floating point unit related functions.
*/
@@ -2379,9 +2385,9 @@ fpu_check_inexact() {
#endif // !defined(PPL_HAVE_IEEEFP_H)
-/* Automatically generated from PPL source file ../src/fpu.defs.hh line 92. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_defs.hh line 92. */
#elif defined(PPL_HAVE_FENV_H)
-/* Automatically generated from PPL source file ../src/fpu-c99.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu-c99_inlines.hh line 1. */
/* C99 Floating point unit related functions.
*/
@@ -2407,13 +2413,13 @@ namespace Parma_Polyhedra_Library {
inline void
fpu_initialize_control_functions() {
- int old = fegetround();
+ const int old = fegetround();
if (fesetround(PPL_FPU_DOWNWARD) != 0
|| fesetround(PPL_FPU_UPWARD) != 0
|| fesetround(old) != 0)
throw std::logic_error("PPL configuration error:"
- " PPL_CAN_CONTROL_FPU evaluates to true,"
- " but fesetround() returns nonzero.");
+ " PPL_CAN_CONTROL_FPU evaluates to true,"
+ " but fesetround() returns nonzero.");
}
inline fpu_rounding_direction_type
@@ -2428,7 +2434,7 @@ fpu_set_rounding_direction(fpu_rounding_direction_type dir) {
inline fpu_rounding_control_word_type
fpu_save_rounding_direction(fpu_rounding_direction_type dir) {
- fpu_rounding_control_word_type old
+ const fpu_rounding_control_word_type old
= static_cast<fpu_rounding_control_word_type>(fegetround());
fesetround(dir);
return old;
@@ -2459,14 +2465,14 @@ fpu_check_inexact() {
#endif // !defined(PPL_HAVE_FENV_H)
-/* Automatically generated from PPL source file ../src/fpu.defs.hh line 94. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_defs.hh line 94. */
#else
#error "PPL_CAN_CONTROL_FPU evaluates to true: why?"
#endif
#else // !PPL_CAN_CONTROL_FPU
-/* Automatically generated from PPL source file ../src/fpu-none.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu-none_inlines.hh line 1. */
/* Null floating point unit related functions.
*/
@@ -2478,52 +2484,52 @@ namespace Parma_Polyhedra_Library {
inline void
fpu_initialize_control_functions() {
throw std::logic_error("PPL::fpu_initialize_control_functions():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
inline fpu_rounding_direction_type
fpu_get_rounding_direction() {
throw std::logic_error("PPL::fpu_get_rounding_direction():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
inline void
fpu_set_rounding_direction(int) {
throw std::logic_error("PPL::fpu_set_rounding_direction():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
inline int
fpu_save_rounding_direction(int) {
throw std::logic_error("PPL::fpu_save_rounding_direction():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
inline void
fpu_reset_inexact() {
throw std::logic_error("PPL::fpu_reset_inexact():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
inline void
fpu_restore_rounding_direction(int) {
throw std::logic_error("PPL::fpu_restore_rounding_direction():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
inline int
fpu_check_inexact() {
throw std::logic_error("PPL::fpu_check_inexact():"
- " cannot control the FPU");
+ " cannot control the FPU");
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/fpu.defs.hh line 101. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/fpu_defs.hh line 101. */
#endif // !PPL_CAN_CONTROL_FPU
-/* Automatically generated from PPL source file ../src/Rounding_Dir.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rounding_Dir_defs.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -2576,7 +2582,7 @@ Rounding_Dir operator&(Rounding_Dir x, Rounding_Dir y);
/*! \ingroup PPL_CXX_interface */
Rounding_Dir operator|(Rounding_Dir x, Rounding_Dir y);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Returns the inverse rounding mode of \p dir,
<CODE>ROUND_IGNORE</CODE> being the inverse of itself.
*/
@@ -2616,26 +2622,26 @@ fpu_rounding_direction_type round_fpu_dir(Rounding_Dir dir);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Rounding_Dir.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rounding_Dir_inlines.hh line 1. */
/* Inline functions operating on enum Rounding_Dir values.
*/
-/* Automatically generated from PPL source file ../src/Rounding_Dir.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rounding_Dir_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
/*! \ingroup PPL_CXX_interface */
inline Rounding_Dir
operator&(Rounding_Dir x, Rounding_Dir y) {
- unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
+ const unsigned res = static_cast<unsigned>(x) & static_cast<unsigned>(y);
return static_cast<Rounding_Dir>(res);
}
/*! \ingroup PPL_CXX_interface */
inline Rounding_Dir
operator|(Rounding_Dir x, Rounding_Dir y) {
- unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
+ const unsigned res = static_cast<unsigned>(x) | static_cast<unsigned>(y);
return static_cast<Rounding_Dir>(res);
}
@@ -2735,15 +2741,15 @@ inverse(Rounding_Dir dir) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Rounding_Dir.defs.hh line 122. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rounding_Dir_defs.hh line 122. */
-/* Automatically generated from PPL source file ../src/Numeric_Format.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Numeric_Format_defs.hh line 1. */
/* Numeric format.
*/
-/* Automatically generated from PPL source file ../src/Numeric_Format.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Numeric_Format_defs.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -2753,12 +2759,12 @@ class Numeric_Format {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Float.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_defs.hh line 1. */
/* IEC 559 floating point format related functions.
*/
-/* Automatically generated from PPL source file ../src/globals.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_types.hh line 1. */
#include <cstddef>
@@ -2820,7 +2826,7 @@ enum Optimization_Mode {
MAXIMIZATION
};
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Widths of bounded integer types.
See the section on
@@ -2843,7 +2849,7 @@ enum Bounded_Integer_Type_Width {
BITS_128 = 128
};
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Representation of bounded integer types.
See the section on
@@ -2860,7 +2866,7 @@ enum Bounded_Integer_Type_Representation {
SIGNED_2_COMPLEMENT
};
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Overflow behavior of bounded integer types.
See the section on
@@ -2901,7 +2907,7 @@ enum Bounded_Integer_Type_Overflow {
OVERFLOW_IMPOSSIBLE
};
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Possible representations of coefficient sequences (i.e. linear expressions
and more complex objects containing linear expressions, e.g. Constraints,
Generators, etc.).
@@ -2925,11 +2931,11 @@ enum Representation {
SPARSE
};
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Floating point formats known to the library.
The parameters of each format are defined by a specific struct
- in file Float.defs.hh. See the section on \ref floating_point
+ in file Float_defs.hh. See the section on \ref floating_point
"Analysis of floating point computations" for more information.
*/
enum Floating_Point_Format {
@@ -2959,7 +2965,7 @@ struct Weightwatch_Traits;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Concrete_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Concrete_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -2970,44 +2976,44 @@ namespace Parma_Polyhedra_Library {
This justifies (here below) the explicit use of Doxygen command \class.
*/
-/*! \brief \class Parma_Polyhedra_Library::Concrete_Expression
- The base class of all concrete expressions.
+/*! \brief The base class of all concrete expressions.
+ \class Parma_Polyhedra_Library::Concrete_Expression
*/
template <typename Target>
class Concrete_Expression;
-/*! \brief \class Parma_Polyhedra_Library::Binary_Operator
- A binary operator applied to two concrete expressions.
+/*! \brief A binary operator applied to two concrete expressions.
+ \class Parma_Polyhedra_Library::Binary_Operator
*/
template <typename Target>
class Binary_Operator;
-/*! \brief \class Parma_Polyhedra_Library::Unary_Operator
- A unary operator applied to one concrete expression.
+/*! \brief A unary operator applied to one concrete expression.
+ \class Parma_Polyhedra_Library::Unary_Operator
*/
template <typename Target>
class Unary_Operator;
-/*! \brief \class Parma_Polyhedra_Library::Cast_Operator
- A cast operator converting one concrete expression to some type.
+/*! \brief A cast operator converting one concrete expression to some type.
+ \class Parma_Polyhedra_Library::Cast_Operator
*/
template <typename Target>
class Cast_Operator;
-/*! \brief \class Parma_Polyhedra_Library::Integer_Constant
- An integer constant concrete expression.
+/*! \brief An integer constant concrete expression.
+ \class Parma_Polyhedra_Library::Integer_Constant
*/
template <typename Target>
class Integer_Constant;
-/*! \brief \class Parma_Polyhedra_Library::Floating_Point_Constant
- A floating-point constant concrete expression.
+/*! \brief A floating-point constant concrete expression.
+ \class Parma_Polyhedra_Library::Floating_Point_Constant
*/
template <typename Target>
class Floating_Point_Constant;
-/*! \brief \class Parma_Polyhedra_Library::Approximable_Reference
- A concrete expression representing a reference to some approximable.
+/*! \brief A concrete expression representing a reference to some approximable.
+ \class Parma_Polyhedra_Library::Approximable_Reference
*/
template <typename Target>
class Approximable_Reference;
@@ -3022,7 +3028,7 @@ class Concrete_Expression_Type;
Cast_Operator, Integer_Constant, Floating_Point_Constant, or
Approximable_Reference. For example, the Binary_Operator kind
integer constant should be defined by an instance as the member
- <CODE>Binary_Operator<T>::KIND</CODE>
+ <CODE>Binary_Operator\<T\>::%KIND</CODE>.
*/
typedef int Concrete_Expression_Kind;
@@ -3044,7 +3050,7 @@ typedef int Concrete_Expression_UOP;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variable.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -3053,7 +3059,7 @@ class Variable;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Form.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -3063,7 +3069,7 @@ class Linear_Form;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Float.defs.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_defs.hh line 34. */
#include <set>
#include <cmath>
#include <map>
@@ -3084,8 +3090,9 @@ struct float_ieee754_half {
uint16_t word;
static const uint16_t SGN_MASK = 0x8000U;
static const uint16_t EXP_MASK = 0xfc00U;
- static const uint16_t POS_INF = 0xfc00U;
- static const uint16_t NEG_INF = 0x7c00U;
+ static const uint16_t WRD_MAX = 0x7bffU;
+ static const uint16_t POS_INF = 0x7c00U;
+ static const uint16_t NEG_INF = 0xfc00U;
static const uint16_t POS_ZERO = 0x0000U;
static const uint16_t NEG_ZERO = 0x8000U;
static const unsigned int BASE = 2;
@@ -3095,7 +3102,7 @@ struct float_ieee754_half {
static const int EXPONENT_BIAS = EXPONENT_MAX;
static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
+ - static_cast<int>(MANTISSA_BITS);
static const Floating_Point_Format floating_point_format = IEEE754_HALF;
int inf_sign() const;
bool is_nan() const;
@@ -3116,6 +3123,7 @@ struct float_ieee754_single {
uint32_t word;
static const uint32_t SGN_MASK = 0x80000000U;
static const uint32_t EXP_MASK = 0x7f800000U;
+ static const uint32_t WRD_MAX = 0x7f7fffffU;
static const uint32_t POS_INF = 0x7f800000U;
static const uint32_t NEG_INF = 0xff800000U;
static const uint32_t POS_ZERO = 0x00000000U;
@@ -3127,7 +3135,7 @@ struct float_ieee754_single {
static const int EXPONENT_BIAS = EXPONENT_MAX;
static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
+ - static_cast<int>(MANTISSA_BITS);
static const Floating_Point_Format floating_point_format = IEEE754_SINGLE;
int inf_sign() const;
bool is_nan() const;
@@ -3164,6 +3172,7 @@ struct float_ieee754_double {
static const uint32_t MSP_NEG_ZERO = 0x80000000U;
static const uint32_t LSP_INF = 0;
static const uint32_t LSP_ZERO = 0;
+ static const uint32_t MSP_MAX = 0x7fefffffU;
static const uint32_t LSP_MAX = 0xffffffffU;
static const unsigned int BASE = 2;
static const unsigned int EXPONENT_BITS = 11;
@@ -3172,7 +3181,7 @@ struct float_ieee754_double {
static const int EXPONENT_BIAS = EXPONENT_MAX;
static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
+ - static_cast<int>(MANTISSA_BITS);
static const Floating_Point_Format floating_point_format = IEEE754_DOUBLE;
int inf_sign() const;
bool is_nan() const;
@@ -3192,6 +3201,7 @@ struct float_ibm_single {
uint32_t word;
static const uint32_t SGN_MASK = 0x80000000U;
static const uint32_t EXP_MASK = 0x7f000000U;
+ static const uint32_t WRD_MAX = 0x7fffffffU;
static const uint32_t POS_INF = 0x7f000000U;
static const uint32_t NEG_INF = 0xff000000U;
static const uint32_t POS_ZERO = 0x00000000U;
@@ -3203,7 +3213,7 @@ struct float_ibm_single {
static const int EXPONENT_MAX = (1 << (EXPONENT_BITS - 1)) - 1;
static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
+ - static_cast<int>(MANTISSA_BITS);
static const Floating_Point_Format floating_point_format = IBM_SINGLE;
int inf_sign() const;
bool is_nan() const;
@@ -3244,6 +3254,7 @@ struct float_intel_double_extended {
static const uint32_t MSP_NEG_ZERO = 0x00008000U;
static const uint64_t LSP_INF = static_cast<uint64_t>(0x8000000000000000ULL);
static const uint64_t LSP_ZERO = 0;
+ static const uint32_t MSP_MAX = 0x00007ffeU;
static const uint64_t LSP_DMAX = static_cast<uint64_t>(0x7fffffffffffffffULL);
static const uint64_t LSP_NMAX = static_cast<uint64_t>(0xffffffffffffffffULL);
static const unsigned int BASE = 2;
@@ -3253,7 +3264,7 @@ struct float_intel_double_extended {
static const int EXPONENT_BIAS = EXPONENT_MAX;
static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
+ - static_cast<int>(MANTISSA_BITS);
static const Floating_Point_Format floating_point_format =
INTEL_DOUBLE_EXTENDED;
int inf_sign() const;
@@ -3285,6 +3296,7 @@ struct float_ieee754_quad {
static const uint64_t MSP_NEG_ZERO = static_cast<uint64_t>(0x8000000000000000ULL);
static const uint64_t LSP_INF = 0;
static const uint64_t LSP_ZERO = 0;
+ static const uint64_t MSP_MAX = static_cast<uint64_t>(0x7ffeffffffffffffULL);
static const uint64_t LSP_MAX = static_cast<uint64_t>(0xffffffffffffffffULL);
static const unsigned int BASE = 2;
static const unsigned int EXPONENT_BITS = 15;
@@ -3293,7 +3305,8 @@ struct float_ieee754_quad {
static const int EXPONENT_BIAS = EXPONENT_MAX;
static const int EXPONENT_MIN = -EXPONENT_MAX + 1;
static const int EXPONENT_MIN_DENORM = EXPONENT_MIN
- - static_cast<int>(MANTISSA_BITS);
+ - static_cast<int>(MANTISSA_BITS);
+ static const Floating_Point_Format floating_point_format = IEEE754_QUAD;
int inf_sign() const;
bool is_nan() const;
int zero_sign() const;
@@ -3475,7 +3488,7 @@ public:
The resulting set MUST NOT contain <CODE>not_a_dimension()</CODE>.
*/
virtual bool get_associated_dimensions(
- const Approximable_Reference<Target>& expr,
+ const Approximable_Reference<Target>& expr,
std::set<dimension_type>& result) const = 0;
};
@@ -3543,18 +3556,18 @@ upper_bound_assign(std::map<dimension_type,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Float.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_inlines.hh line 1. */
/* IEC 559 floating point format related functions.
*/
#include <climits>
-/* Automatically generated from PPL source file ../src/Variable.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_defs.hh line 1. */
/* Variable class declaration.
*/
-/* Automatically generated from PPL source file ../src/Init.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Init_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -3563,7 +3576,7 @@ class Init;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variable.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_defs.hh line 30. */
#include <iosfwd>
#include <set>
@@ -3654,6 +3667,9 @@ public:
//! Type of output functions.
typedef void output_function_type(std::ostream& s, const Variable v);
+ //! The default output function.
+ static void default_output_function(std::ostream& s, const Variable v);
+
//! Sets the output function to be used for printing Variable objects.
static void set_output_function(output_function_type* p);
@@ -3679,31 +3695,29 @@ private:
friend std::ostream&
Parma_Polyhedra_Library::IO_Operators::operator<<(std::ostream& s,
- const Variable v);
+ const Variable v);
//! Pointer to the current output function.
static output_function_type* current_output_function;
- //! The default output function.
- static void default_output_function(std::ostream& s, const Variable v);
};
-/* Automatically generated from PPL source file ../src/Variable.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_inlines.hh line 1. */
/* Variable class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/globals.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_defs.hh line 1. */
/* Declarations of global objects.
*/
-/* Automatically generated from PPL source file ../src/C_Integer.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Integer.hh line 1. */
/* C integers info.
*/
-/* Automatically generated from PPL source file ../src/C_Integer.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Integer.hh line 28. */
#include <climits>
// C99 defines LLONG_MIN, LLONG_MAX and ULLONG_MAX, but this part of
@@ -3763,29 +3777,35 @@ struct C_Integer<char> : public True {
template <>
struct C_Integer<signed char> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef void smaller_type;
typedef void smaller_signed_type;
typedef void smaller_unsigned_type;
typedef unsigned char other_type;
- static const signed char min = SCHAR_MIN;
- static const signed char max = SCHAR_MAX;
+ static const signed char min = static_cast<signed char>(SCHAR_MIN);
+ static const signed char max = static_cast<signed char>(SCHAR_MAX);
};
template <>
struct C_Integer<signed short> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed char smaller_type;
typedef signed char smaller_signed_type;
typedef unsigned char smaller_unsigned_type;
typedef unsigned short other_type;
- static const signed short min = SHRT_MIN;
- static const signed short max = SHRT_MAX;
+ static const signed short min = static_cast<signed short>(SHRT_MIN);
+ static const signed short max = static_cast<signed short>(SHRT_MAX);
};
template <>
struct C_Integer<signed int> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed short smaller_type;
typedef signed short smaller_signed_type;
typedef unsigned short smaller_unsigned_type;
@@ -3796,7 +3816,9 @@ struct C_Integer<signed int> : public True {
template <>
struct C_Integer<signed long> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed int smaller_type;
typedef signed int smaller_signed_type;
typedef unsigned int smaller_unsigned_type;
@@ -3807,7 +3829,9 @@ struct C_Integer<signed long> : public True {
template <>
struct C_Integer<signed long long> : public True {
- enum const_bool_value { is_signed = true };
+ enum const_bool_value {
+ is_signed = true
+ };
typedef signed long smaller_type;
typedef signed long smaller_signed_type;
typedef unsigned long smaller_unsigned_type;
@@ -3818,65 +3842,272 @@ struct C_Integer<signed long long> : public True {
template <>
struct C_Integer<unsigned char> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef void smaller_type;
typedef void smaller_signed_type;
typedef void smaller_unsigned_type;
typedef signed char other_type;
- static const unsigned char min = 0U;
- static const unsigned char max = static_cast<unsigned char>(~0U);
+ static const unsigned char min = static_cast<unsigned char>(0U);
+ static const unsigned char max = static_cast<unsigned char>(UCHAR_MAX);
};
template <>
struct C_Integer<unsigned short> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned char smaller_type;
typedef signed char smaller_signed_type;
typedef unsigned char smaller_unsigned_type;
typedef signed short other_type;
- static const unsigned short min = 0U;
- static const unsigned short max = static_cast<unsigned short>(~0U);
+ static const unsigned short min = static_cast<unsigned short>(0U);
+ static const unsigned short max = static_cast<unsigned short>(USHRT_MAX);
};
template <>
struct C_Integer<unsigned int> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned short smaller_type;
typedef signed short smaller_signed_type;
typedef unsigned short smaller_unsigned_type;
typedef signed int other_type;
static const unsigned int min = 0U;
- static const unsigned int max = ~0U;
+ static const unsigned int max = UINT_MAX;
};
template <>
struct C_Integer<unsigned long> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned int smaller_type;
typedef signed int smaller_signed_type;
typedef unsigned int smaller_unsigned_type;
typedef signed long other_type;
static const unsigned long min = 0UL;
- static const unsigned long max = ~0UL;
+ static const unsigned long max = ULONG_MAX;
};
template <>
struct C_Integer<unsigned long long> : public True {
- enum const_bool_value { is_signed = false };
+ enum const_bool_value {
+ is_signed = false
+ };
typedef unsigned long smaller_type;
typedef signed long smaller_signed_type;
typedef unsigned long smaller_unsigned_type;
typedef signed long long other_type;
static const unsigned long long min = 0ULL;
- static const unsigned long long max = ~0ULL;
+ static const unsigned long long max = ULLONG_MAX;
};
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/globals.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_defs.hh line 32. */
#include <exception>
#include <gmpxx.h>
+#ifndef PPL_PROFILE_ADD_WEIGHT
+#define PPL_PROFILE_ADD_WEIGHT 0
+#endif
+
+#if defined(NDEBUG) && PPL_PROFILE_ADD_WEIGHT
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Weight_Profiler_defs.hh line 1. */
+/* Weight_Profiler class declaration.
+*/
+
+#ifndef Weight_Profiler_defs_hh
+#define Weight_Profiler_defs_hh 1
+
+#include <cassert>
+
+namespace Parma_Polyhedra_Library {
+
+class Weight_Profiler {
+private:
+ enum { DISCARDED = 0, VALID = 1 };
+
+public:
+ Weight_Profiler(const char* file, int line,
+ Weightwatch_Traits::Delta delta,
+ double min_threshold = 0, double max_threshold = 0)
+ : file(file), line(line), delta(delta),
+ min_threshold(min_threshold), max_threshold(max_threshold) {
+ for (int i = 0; i < 2; ++i) {
+ stat[i].samples = 0;
+ stat[i].count = 0;
+ stat[i].sum = 0;
+ stat[i].squares_sum = 0;
+ stat[i].min = 0;
+ stat[i].max = 0;
+ }
+ }
+
+ ~Weight_Profiler() {
+ output_stats();
+ }
+
+ void output_stats();
+
+ static void begin() {
+#ifndef NDEBUG
+ int r = clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
+ assert(r >= 0);
+#else
+ clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
+#endif
+ }
+
+ void end(unsigned int factor = 1) {
+ Weightwatch_Traits::weight
+ += (Weightwatch_Traits::Threshold) delta * factor;
+ struct timespec start = stamp;
+ begin();
+ double elapsed;
+ if (stamp.tv_nsec >= start.tv_nsec) {
+ elapsed = (stamp.tv_nsec - start.tv_nsec)
+ + (stamp.tv_sec - start.tv_sec) * 1e9;
+ }
+ else {
+ elapsed = (1000000000 - start.tv_nsec + stamp.tv_nsec )
+ + (stamp.tv_sec - start.tv_sec - 1) * 1e9;
+ }
+ elapsed -= adjustment;
+ double elapsed1 = elapsed / factor;
+ int i = (elapsed1 < min_threshold
+ || (max_threshold > 0 && elapsed1 > max_threshold))
+ ? DISCARDED
+ : VALID;
+ ++stat[i].samples;
+ if (stat[i].count == 0)
+ stat[i].min = stat[i].max = elapsed1;
+ else if (stat[i].min > elapsed1)
+ stat[i].min = elapsed1;
+ else if (stat[i].max < elapsed1)
+ stat[i].max = elapsed1;
+ stat[i].sum += elapsed;
+ stat[i].squares_sum += elapsed * elapsed1;
+ stat[i].count += factor;
+ }
+
+ static double tune_adjustment();
+
+ private:
+ //! File of this profiling point.
+ const char *file;
+
+ //! Line of this profiling point.
+ int line;
+
+ //! Computational weight to be added at each iteration.
+ Weightwatch_Traits::Delta delta;
+
+ //! Times less than this value are discarded.
+ double min_threshold;
+
+ //! Times greater than this value are discarded.
+ double max_threshold;
+
+ //! Statistical data for samples (both DISCARDED and VALID)
+ struct {
+ //! Number of collected samples.
+ unsigned int samples;
+
+ /*! \brief
+ Number of collected iterations.
+
+ \note
+ Multiple iterations are possibly collected for each sample.
+ */
+ unsigned int count;
+
+ //! Sum of the measured times.
+ double sum;
+
+ //! Sum of the squares of the measured times (to compute variance).
+ double squares_sum;
+
+ //! Minimum measured time.
+ double min;
+
+ //! Maximum measured time.
+ double max;
+ } stat[2];
+
+ //! Holds the time corresponding to last time begin() was called.
+ static struct timespec stamp;
+
+ /*! \brief
+ Time quantity used to adjust the elapsed times so as not to take
+ into account the time spent by the measurement infrastructure.
+ */
+ static double adjustment;
+};
+
+}
+
+#endif // Weight_Profiler_defs_hh
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_defs.hh line 41. */
+#endif
+
+#if defined(NDEBUG)
+
+#if PPL_PROFILE_ADD_WEIGHT
+
+#define WEIGHT_BEGIN() Weight_Profiler::begin()
+
+#define WEIGHT_ADD(delta) \
+ do { \
+ static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
+ wp__.end(); \
+ } while (false)
+
+#define WEIGHT_ADD_MUL(delta, factor) \
+ do { \
+ static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
+ wp__.end(factor); \
+ } while (false)
+
+#else // !PPL_PROFILE_ADD_WEIGHT
+
+#define WEIGHT_BEGIN() \
+ do { \
+ } while (false)
+
+#define WEIGHT_ADD(delta) \
+ do { \
+ Weightwatch_Traits::weight += (delta); \
+ } while (false)
+
+#define WEIGHT_ADD_MUL(delta, factor) \
+ do { \
+ Weightwatch_Traits::weight += (delta)*(factor); \
+ } while (false)
+
+#endif // !PPL_PROFILE_ADD_WEIGHT
+
+#else // !defined(NDEBUG)
+
+#define WEIGHT_BEGIN()
+
+#define WEIGHT_ADD(delta) \
+ do { \
+ if (!In_Assert::asserting()) \
+ Weightwatch_Traits::weight += delta; \
+ } while (false)
+
+#define WEIGHT_ADD_MUL(delta, factor) \
+ do { \
+ if (!In_Assert::asserting()) \
+ Weightwatch_Traits::weight += delta * factor; \
+ } while (false)
+
+#endif // !defined(NDEBUG)
+
namespace Parma_Polyhedra_Library {
@@ -4080,100 +4311,100 @@ struct Recycle_Input {
void ascii_dump() const; \
/*! \brief Writes to \p s an ASCII representation of \p *this. */ \
void ascii_dump(std::ostream& s) const; \
- /*! \brief Prints \p *this to \c std::cerr using \c operator<<. */ \
+ /*! \brief Prints \p *this to \c std::cerr using \c operator<<. */ \
void print() const;
-#define PPL_OUTPUT_DEFINITIONS(class_name) \
- void \
- Parma_Polyhedra_Library::class_name::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- void \
- Parma_Polyhedra_Library::class_name::print() const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
- }
-
-#define PPL_OUTPUT_DEFINITIONS_ASCII_ONLY(class_name) \
- void \
- Parma_Polyhedra_Library::class_name::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- void \
- Parma_Polyhedra_Library::class_name::print() const { \
- std::cerr << "No user level output operator defined " \
- << "for class " PPL_XSTR(class_name) << "." << std::endl; \
- }
-
-#define PPL_OUTPUT_TEMPLATE_DEFINITIONS(type_symbol, class_prefix) \
- template <typename type_symbol> \
- void \
+#define PPL_OUTPUT_DEFINITIONS(class_name) \
+ void \
+ Parma_Polyhedra_Library::class_name::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ void \
+ Parma_Polyhedra_Library::class_name::print() const { \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
+ }
+
+#define PPL_OUTPUT_DEFINITIONS_ASCII_ONLY(class_name) \
+ void \
+ Parma_Polyhedra_Library::class_name::ascii_dump() const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ void \
+ Parma_Polyhedra_Library::class_name::print() const { \
+ std::cerr << "No user level output operator defined " \
+ << "for class " PPL_XSTR(class_name) << "." << std::endl; \
+ }
+
+#define PPL_OUTPUT_TEMPLATE_DEFINITIONS(type_symbol, class_prefix) \
+ template <typename type_symbol> \
+ void \
class_prefix::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol> \
- void \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol> \
+ void \
class_prefix::print() const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
}
-#define PPL_OUTPUT_2_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
- type_symbol2, \
- class_prefix) \
- template <typename type_symbol1, typename type_symbol2> \
- void \
+#define PPL_OUTPUT_2_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
+ type_symbol2, \
+ class_prefix) \
+ template <typename type_symbol1, typename type_symbol2> \
+ void \
PPL_U(class_prefix)<PPL_U(type_symbol1), PPL_U(type_symbol2)> \
::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol1, typename type_symbol2> \
- void \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol1, typename type_symbol2> \
+ void \
PPL_U(class_prefix)<PPL_U(type_symbol1), PPL_U(type_symbol2)> \
::print() const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
}
-#define PPL_OUTPUT_3_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
- type_symbol2, \
- type_symbol3, \
- class_prefix) \
- template <typename type_symbol1, typename type_symbol2, \
- typename type_symbol3> \
- void \
+#define PPL_OUTPUT_3_PARAM_TEMPLATE_DEFINITIONS(type_symbol1, \
+ type_symbol2, \
+ type_symbol3, \
+ class_prefix) \
+ template <typename type_symbol1, typename type_symbol2, \
+ typename type_symbol3> \
+ void \
PPL_U(class_prefix)<PPL_U(type_symbol1), type_symbol2, \
PPL_U(type_symbol3)>::ascii_dump() \
- const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol1, typename type_symbol2, \
- typename type_symbol3> \
- void \
+ const { \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol1, typename type_symbol2, \
+ typename type_symbol3> \
+ void \
PPL_U(class_prefix)<PPL_U(type_symbol1), type_symbol2, \
PPL_U(type_symbol3)>::print() \
- const { \
- using IO_Operators::operator<<; \
- std::cerr << *this; \
+ const { \
+ using IO_Operators::operator<<; \
+ std::cerr << *this; \
}
#define PPL_OUTPUT_TEMPLATE_DEFINITIONS_ASCII_ONLY(type_symbol, class_prefix) \
- template <typename type_symbol> \
- void \
+ template <typename type_symbol> \
+ void \
class_prefix::ascii_dump() const { \
- ascii_dump(std::cerr); \
- } \
- \
- template <typename type_symbol> \
- void \
+ ascii_dump(std::cerr); \
+ } \
+ \
+ template <typename type_symbol> \
+ void \
class_prefix::print() const { \
- std::cerr << "No user level output operator defined " \
- << "for " PPL_XSTR(class_prefix) << "." << std::endl; \
+ std::cerr << "No user level output operator defined " \
+ << "for " PPL_XSTR(class_prefix) << "." << std::endl; \
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -4203,22 +4434,22 @@ template <typename T, T v>
const T TConstant<T, v>::value;
template <typename T, long long v, bool prefer_signed = true,
- typename Enable = void>
+ typename Enable = void>
struct Constant_ : public TConstant<T, v> {
};
template <typename T, long long v, bool prefer_signed>
struct Constant_<T, v, prefer_signed,
- typename Enable_If<(Fit<typename C_Integer<T>::smaller_signed_type, v>::value
- && (prefer_signed
+ typename Enable_If<(Fit<typename C_Integer<T>::smaller_signed_type, v>::value
+ && (prefer_signed
|| !Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value))>::type>
: public Constant_<typename C_Integer<T>::smaller_signed_type, v, prefer_signed> {
};
template <typename T, long long v, bool prefer_signed>
struct Constant_<T, v, prefer_signed,
- typename Enable_If<(Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value
- && (!prefer_signed
+ typename Enable_If<(Fit<typename C_Integer<T>::smaller_unsigned_type, v>::value
+ && (!prefer_signed
|| !Fit<typename C_Integer<T>::smaller_signed_type, v>::value))>::type>
: public Constant_<typename C_Integer<T>::smaller_unsigned_type, v, prefer_signed> {
};
@@ -4342,195 +4573,12 @@ least_significant_one_mask(dimension_type i);
#define PPL_USE_SPARSE_MATRIX 1
#endif
-#ifndef PPL_PROFILE_ADD_WEIGHT
-#define PPL_PROFILE_ADD_WEIGHT 0
-#endif
-
-#if defined(NDEBUG) && PPL_PROFILE_ADD_WEIGHT
-/* Automatically generated from PPL source file ../src/Weight_Profiler.defs.hh line 1. */
-/* Weight_Profiler class declaration.
-*/
-
-#ifndef Weight_Profiler_defs_hh
-#define Weight_Profiler_defs_hh 1
-
-#include <cassert>
-
-namespace Parma_Polyhedra_Library {
-
-class Weight_Profiler {
-private:
- enum { DISCARDED = 0, VALID = 1 };
-
-public:
- Weight_Profiler(const char* file, int line,
- Weightwatch_Traits::Delta delta,
- double min_threshold = 0, double max_threshold = 0)
- : file(file), line(line), delta(delta),
- min_threshold(min_threshold), max_threshold(max_threshold) {
- for (int i = 0; i < 2; ++i) {
- stat[i].samples = 0;
- stat[i].count = 0;
- stat[i].sum = 0;
- stat[i].squares_sum = 0;
- stat[i].min = 0;
- stat[i].max = 0;
- }
- }
-
- ~Weight_Profiler() {
- output_stats();
- }
-
- void output_stats();
-
- static void begin() {
-#ifndef NDEBUG
- int r = clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
- assert(r >= 0);
-#else
- clock_gettime(CLOCK_THREAD_CPUTIME_ID, &stamp);
-#endif
- }
-
- void end(unsigned int factor = 1) {
- Weightwatch_Traits::weight
- += (Weightwatch_Traits::Threshold) delta * factor;
- struct timespec start = stamp;
- begin();
- double elapsed;
- if (stamp.tv_nsec >= start.tv_nsec) {
- elapsed = (stamp.tv_nsec - start.tv_nsec)
- + (stamp.tv_sec - start.tv_sec) * 1e9;
- }
- else {
- elapsed = (1000000000 - start.tv_nsec + stamp.tv_nsec )
- + (stamp.tv_sec - start.tv_sec - 1) * 1e9;
- }
- elapsed -= adjustment;
- double elapsed1 = elapsed / factor;
- int i = (elapsed1 < min_threshold
- || (max_threshold > 0 && elapsed1 > max_threshold))
- ? DISCARDED
- : VALID;
- ++stat[i].samples;
- if (stat[i].count == 0)
- stat[i].min = stat[i].max = elapsed1;
- else if (stat[i].min > elapsed1)
- stat[i].min = elapsed1;
- else if (stat[i].max < elapsed1)
- stat[i].max = elapsed1;
- stat[i].sum += elapsed;
- stat[i].squares_sum += elapsed * elapsed1;
- stat[i].count += factor;
- }
-
- static double tune_adjustment();
-
- private:
- //! File of this profiling point.
- const char *file;
-
- //! Line of this profiling point.
- int line;
-
- //! Computational weight to be added at each iteration.
- Weightwatch_Traits::Delta delta;
-
- //! Times less than this value are discarded.
- double min_threshold;
-
- //! Times greater than this value are discarded.
- double max_threshold;
-
- //! Statistical data for samples (both DISCARDED and VALID)
- struct {
- //! Number of collected samples.
- unsigned int samples;
-
- /*! \brief
- Number of collected iterations.
-
- \note
- Multiple iterations are possibly collected for each sample.
- */
- unsigned int count;
-
- //! Sum of the measured times.
- double sum;
-
- //! Sum of the squares of the measured times (to compute variance).
- double squares_sum;
-
- //! Minimum measured time.
- double min;
-
- //! Maximum measured time.
- double max;
- } stat[2];
-
- //! Holds the time corresponding to last time begin() was called.
- static struct timespec stamp;
-
- /*! \brief
- Time quantity used to adjust the elapsed times so as not to take
- into account the time spent by the measurement infrastructure.
- */
- static double adjustment;
-};
-
-}
-
-#endif // Weight_Profiler_defs_hh
-/* Automatically generated from PPL source file ../src/globals.defs.hh line 506. */
-#endif
-
-#if defined(NDEBUG)
-#if PPL_PROFILE_ADD_WEIGHT
-#define WEIGHT_BEGIN() Weight_Profiler::begin()
-#define WEIGHT_ADD(delta) \
- do { \
- static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
- wp__.end(); \
- } while (false)
-#define WEIGHT_ADD_MUL(delta, factor) \
- do { \
- static Weight_Profiler wp__(__FILE__, __LINE__, delta); \
- wp__.end(factor); \
- } while (false)
-#else
-#define WEIGHT_BEGIN() \
- do { \
- } while (false)
-#define WEIGHT_ADD(delta) \
- do { \
- Weightwatch_Traits::weight += (delta); \
- } while (false)
-#define WEIGHT_ADD_MUL(delta, factor) \
- do { \
- Weightwatch_Traits::weight += (delta)*(factor); \
- } while (false)
-#endif
-#else
-#define WEIGHT_BEGIN()
-#define WEIGHT_ADD(delta) \
- do { \
- if (!In_Assert::asserting()) \
- Weightwatch_Traits::weight += delta; \
- } while (false)
-#define WEIGHT_ADD_MUL(delta, factor) \
- do { \
- if (!In_Assert::asserting()) \
- Weightwatch_Traits::weight += delta * factor; \
- } while (false)
-#endif
-
-/* Automatically generated from PPL source file ../src/globals.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_inlines.hh line 1. */
/* Implementation of global objects: inline functions.
*/
-/* Automatically generated from PPL source file ../src/globals.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_inlines.hh line 28. */
#include <limits>
#include <cassert>
#include <istream>
@@ -4588,13 +4636,13 @@ maybe_abandon() {
#endif
if (Weightwatch_Traits::check_function != 0)
Weightwatch_Traits::check_function();
- if (const Throwable* p = abandon_expensive_computations)
+ if (const Throwable* const p = abandon_expensive_computations)
p->throw_me();
}
inline dimension_type
compute_capacity(const dimension_type requested_size,
- const dimension_type maximum_size) {
+ const dimension_type maximum_size) {
assert(requested_size <= maximum_size);
// Speculation factor 2.
return (requested_size < maximum_size/2)
@@ -4693,9 +4741,9 @@ least_significant_one_mask(const dimension_type i) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/globals.defs.hh line 549. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/globals_defs.hh line 563. */
-/* Automatically generated from PPL source file ../src/Variable.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_inlines.hh line 28. */
#include <stdexcept>
namespace Parma_Polyhedra_Library {
@@ -4708,10 +4756,10 @@ Variable::max_space_dimension() {
inline
Variable::Variable(dimension_type i)
: varid((i < max_space_dimension())
- ? i
- : (throw std::length_error("PPL::Variable::Variable(i):\n"
- "i exceeds the maximum allowed "
- "variable identifier."), i)) {
+ ? i
+ : (throw std::length_error("PPL::Variable::Variable(i):\n"
+ "i exceeds the maximum allowed "
+ "variable identifier."), i)) {
}
inline dimension_type
@@ -4768,14 +4816,14 @@ swap(Variable& x, Variable& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variable.defs.hh line 155. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_defs.hh line 156. */
-/* Automatically generated from PPL source file ../src/Linear_Form.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_defs.hh line 1. */
/* Linear_Form class declaration.
*/
-/* Automatically generated from PPL source file ../src/Linear_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -4784,7 +4832,7 @@ class Linear_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -4796,7 +4844,7 @@ class Box_Helpers;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Form.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_defs.hh line 32. */
#include <vector>
namespace Parma_Polyhedra_Library {
@@ -5261,12 +5309,12 @@ private:
::operator<<<C>(std::ostream& s, const Linear_Form<C>& f);
};
-/* Automatically generated from PPL source file ../src/Linear_Form.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_inlines.hh line 1. */
/* Linear_Form class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Linear_Form.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_inlines.hh line 28. */
#include <iostream>
#include <stdexcept>
@@ -5491,10 +5539,10 @@ swap(Linear_Form<C>& x, Linear_Form<C>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Form.defs.hh line 497. */
-// Linear_Form.templates.hh is not included here on purpose.
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_defs.hh line 497. */
+// Linear_Form_templates.hh is not included here on purpose.
-/* Automatically generated from PPL source file ../src/Float.inlines.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_inlines.hh line 30. */
namespace Parma_Polyhedra_Library {
@@ -5543,7 +5591,7 @@ float_ieee754_half::inc() {
inline void
float_ieee754_half::set_max(bool negative) {
- word = 0x7bffU;
+ word = WRD_MAX;
if (negative)
word |= SGN_MASK;
}
@@ -5554,7 +5602,7 @@ float_ieee754_half::build(bool negative, mpz_t mantissa, int exponent) {
& ((1UL << MANTISSA_BITS) - 1));
if (negative)
word |= SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
word |= static_cast<uint16_t>(exponent_repr) << MANTISSA_BITS;
}
@@ -5604,7 +5652,7 @@ float_ieee754_single::inc() {
inline void
float_ieee754_single::set_max(bool negative) {
- word = 0x7f7fffffU;
+ word = WRD_MAX;
if (negative)
word |= SGN_MASK;
}
@@ -5615,7 +5663,7 @@ float_ieee754_single::build(bool negative, mpz_t mantissa, int exponent) {
& ((1UL << MANTISSA_BITS) - 1));
if (negative)
word |= SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
word |= static_cast<uint32_t>(exponent_repr) << MANTISSA_BITS;
}
@@ -5633,7 +5681,7 @@ float_ieee754_double::inf_sign() const {
inline bool
float_ieee754_double::is_nan() const {
- uint32_t a = msp & ~MSP_SGN_MASK;
+ const uint32_t a = msp & ~MSP_SGN_MASK;
return a > MSP_POS_INF || (a == MSP_POS_INF && lsp != LSP_INF);
}
@@ -5680,8 +5728,8 @@ float_ieee754_double::inc() {
inline void
float_ieee754_double::set_max(bool negative) {
- msp = 0x7fefffffU;
- lsp = 0xffffffffU;
+ msp = MSP_MAX;
+ lsp = LSP_MAX;
if (negative)
msp |= MSP_SGN_MASK;
}
@@ -5701,7 +5749,7 @@ float_ieee754_double::build(bool negative, mpz_t mantissa, int exponent) {
msp = static_cast<uint32_t>(m & ((1UL << (MANTISSA_BITS - 32)) - 1));
if (negative)
msp |= MSP_SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
msp |= static_cast<uint32_t>(exponent_repr) << (MANTISSA_BITS - 32);
}
@@ -5751,7 +5799,7 @@ float_ibm_single::inc() {
inline void
float_ibm_single::set_max(bool negative) {
- word = 0x7f000000U;
+ word = WRD_MAX;
if (negative)
word |= SGN_MASK;
}
@@ -5762,7 +5810,7 @@ float_ibm_single::build(bool negative, mpz_t mantissa, int exponent) {
& ((1UL << MANTISSA_BITS) - 1));
if (negative)
word |= SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
word |= static_cast<uint32_t>(exponent_repr) << MANTISSA_BITS;
}
@@ -5771,7 +5819,7 @@ inline int
float_intel_double_extended::inf_sign() const {
if (lsp != LSP_INF)
return 0;
- uint32_t a = msp & MSP_NEG_INF;
+ const uint32_t a = msp & MSP_NEG_INF;
if (a == MSP_NEG_INF)
return -1;
if (a == MSP_POS_INF)
@@ -5789,7 +5837,7 @@ inline int
float_intel_double_extended::zero_sign() const {
if (lsp != LSP_ZERO)
return 0;
- uint32_t a = msp & MSP_NEG_INF;
+ const uint32_t a = msp & MSP_NEG_INF;
if (a == MSP_NEG_ZERO)
return -1;
if (a == MSP_POS_ZERO)
@@ -5829,22 +5877,22 @@ float_intel_double_extended::inc() {
inline void
float_intel_double_extended::set_max(bool negative) {
- msp = 0x00007ffeU;
- lsp = static_cast<uint64_t>(0xffffffffffffffffULL);
+ msp = MSP_MAX;
+ lsp = LSP_NMAX;
if (negative)
msp |= MSP_SGN_MASK;
}
inline void
float_intel_double_extended::build(bool negative,
- mpz_t mantissa, int exponent) {
+ mpz_t mantissa, int exponent) {
#if ULONG_MAX == 0xffffffffUL
- mpz_export(&lsp, 0, -1, 8, 0, 0, mantissa);
+ mpz_export(&lsp, 0, -1, sizeof(lsp), 0, 0, mantissa);
#else
lsp = mpz_get_ui(mantissa);
#endif
msp = (negative ? MSP_SGN_MASK : 0);
- int exponent_repr = exponent + EXPONENT_BIAS;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
msp |= static_cast<uint32_t>(exponent_repr);
}
@@ -5909,8 +5957,8 @@ float_ieee754_quad::inc() {
inline void
float_ieee754_quad::set_max(bool negative) {
- msp = static_cast<uint64_t>(0x7ffeffffffffffffULL);
- lsp = static_cast<uint64_t>(0xffffffffffffffffULL);
+ msp = MSP_MAX;
+ lsp = LSP_MAX;
if (negative)
msp |= MSP_SGN_MASK;
}
@@ -5918,13 +5966,13 @@ float_ieee754_quad::set_max(bool negative) {
inline void
float_ieee754_quad::build(bool negative, mpz_t mantissa, int exponent) {
uint64_t parts[2];
- mpz_export(parts, 0, -1, 8, 0, 0, mantissa);
+ mpz_export(parts, 0, -1, sizeof(parts[0]), 0, 0, mantissa);
lsp = parts[0];
msp = parts[1];
msp &= ((static_cast<uint64_t>(1) << (MANTISSA_BITS - 64)) - 1);
if (negative)
msp |= MSP_SGN_MASK;
- int exponent_repr = exponent + EXPONENT_BIAS;
+ const int exponent_repr = exponent + EXPONENT_BIAS;
PPL_ASSERT(exponent_repr >= 0 && exponent_repr < (1 << EXPONENT_BITS));
msp |= static_cast<uint64_t>(exponent_repr) << (MANTISSA_BITS - 64);
}
@@ -6001,20 +6049,20 @@ Float<long double>::value() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Float.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_templates.hh line 1. */
/* IEC 559 floating point format related functions:
non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Float.templates.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_templates.hh line 30. */
#include <cmath>
namespace Parma_Polyhedra_Library {
template <typename FP_Interval_Type>
const FP_Interval_Type& compute_absolute_error(
- const Floating_Point_Format analyzed_format) {
+ const Floating_Point_Format analyzed_format) {
typedef typename FP_Interval_Type::boundary_type analyzer_format;
// FIXME: check if initializing caches with EMPTY is better.
@@ -6125,9 +6173,9 @@ discard_occurrences(std::map<dimension_type,
variables as an argument. */
template <typename FP_Interval_Type>
void upper_bound_assign(std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& ls1,
+ Linear_Form<FP_Interval_Type> >& ls1,
const std::map<dimension_type,
- Linear_Form<FP_Interval_Type> >& ls2) {
+ Linear_Form<FP_Interval_Type> >& ls2) {
typedef Linear_Form<FP_Interval_Type> FP_Linear_Form;
typedef typename std::map<dimension_type, FP_Linear_Form>::iterator Iter;
typedef typename std::map<dimension_type,
@@ -6145,9 +6193,9 @@ void upper_bound_assign(std::map<dimension_type,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Float.defs.hh line 515. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Float_defs.hh line 522. */
-/* Automatically generated from PPL source file ../src/checked.defs.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_defs.hh line 35. */
namespace Parma_Polyhedra_Library {
@@ -6296,19 +6344,19 @@ namespace Checked {
::function(arg1, arg2, arg3, a1); \
}
-#define PPL_DECLARE_FUN5_0_1(name, ret_type, \
- qual1, type1, qual2, type2, qual3, type3, \
+#define PPL_DECLARE_FUN5_0_1(name, ret_type, \
+ qual1, type1, qual2, type2, qual3, type3, \
qual4, type4, qual5, type5, \
- after1) \
+ after1) \
template <typename Policy1, typename Policy2, typename Policy3, \
- typename Policy4,typename Policy5, \
- typename type1, typename type2, typename type3, \
- typename type4, typename type5> \
+ typename Policy4,typename Policy5, \
+ typename type1, typename type2, typename type3, \
+ typename type4, typename type5> \
struct PPL_FUNCTION_CLASS(name); \
template <typename Policy1, typename Policy2, typename Policy3, \
- typename Policy4,typename Policy5, \
- typename type1, typename type2, typename type3, \
- typename type4, typename type5> \
+ typename Policy4,typename Policy5, \
+ typename type1, typename type2, typename type3, \
+ typename type4, typename type5> \
inline ret_type PPL_U(name)(PPL_U(qual1) PPL_U(type1)& arg1, PPL_U(qual2) \
PPL_U(type2)& arg2, \
PPL_U(qual3) PPL_U(type3)& arg3, PPL_U(qual4) \
@@ -6320,7 +6368,7 @@ namespace Checked {
type1, type2, \
type3, type4, \
PPL_U(type5)> \
- ::function(arg1, arg2, arg3, arg4, arg5, a1); \
+ ::function(arg1, arg2, arg3, arg4, arg5, a1); \
}
#define PPL_SPECIALIZE_FUN1_0_0(name, func, ret_type, qual, type) \
@@ -6399,7 +6447,7 @@ namespace Checked {
#define PPL_SPECIALIZE_FUN2_0_0(name, func, ret_type, qual1, type1, \
qual2, type2) \
- template <typename Policy1, typename Policy2> \
+ template <typename Policy1, typename Policy2> \
struct PPL_FUNCTION_CLASS(name)<Policy1, Policy2, type1, \
PPL_U(type2)> { \
static inline ret_type function(PPL_U(qual1) PPL_U(type1)& arg1, \
@@ -6452,8 +6500,8 @@ namespace Checked {
qual1, type1, qual2, type2, \
qual3, type3, \
qual4, type4, qual5, type5, after1) \
- template <typename Policy1, typename Policy2, typename Policy3, \
- typename Policy4, typename Policy5> \
+ template <typename Policy1, typename Policy2, typename Policy3, \
+ typename Policy4, typename Policy5> \
struct PPL_FUNCTION_CLASS(name) <Policy1, Policy2, Policy3, Policy4, \
Policy5, \
type1, type2, \
@@ -6467,7 +6515,7 @@ namespace Checked {
PPL_U(qual5) PPL_U(type5) &arg5, PPL_U(after1) a1) { \
return PPL_U(func)<Policy1, Policy2, Policy3, Policy4, \
Policy5>(arg1, arg2, arg3, arg4, arg5, a1); \
- } \
+ } \
};
// The `nonconst' macro helps readability of the sequel.
@@ -6553,11 +6601,11 @@ namespace Checked {
#define PPL_SPECIALIZE_DIV_2EXP(func, To, From) \
PPL_SPECIALIZE_FUN2_0_2(div_2exp, func, Result, nonconst, To, \
const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_SMOD_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(smod_2exp, func, Result, nonconst, To, \
+#define PPL_SPECIALIZE_SMOD_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(smod_2exp, func, Result, nonconst, To, \
const, From, unsigned int, Rounding_Dir)
-#define PPL_SPECIALIZE_UMOD_2EXP(func, To, From) \
- PPL_SPECIALIZE_FUN2_0_2(umod_2exp, func, Result, nonconst, To, \
+#define PPL_SPECIALIZE_UMOD_2EXP(func, To, From) \
+ PPL_SPECIALIZE_FUN2_0_2(umod_2exp, func, Result, nonconst, To, \
const, From, unsigned int, Rounding_Dir)
#define PPL_SPECIALIZE_ADD_MUL(func, To, From1, From2) \
PPL_SPECIALIZE_FUN3_0_1(add_mul, func, Result, nonconst, To, \
@@ -6569,7 +6617,7 @@ namespace Checked {
PPL_SPECIALIZE_FUN3_0_1(gcd, func, Result, nonconst, To, \
const, From1, const, From2, Rounding_Dir)
#define PPL_SPECIALIZE_GCDEXT(func, To1, From1, From2, To2, To3) \
- PPL_SPECIALIZE_FUN5_0_1(gcdext, func, Result, nonconst, To1, \
+ PPL_SPECIALIZE_FUN5_0_1(gcdext, func, Result, nonconst, To1, \
nonconst, To2, nonconst, To3, \
const, From1, const, From2, Rounding_Dir)
#define PPL_SPECIALIZE_LCM(func, To, From1, From2) \
@@ -6813,12 +6861,12 @@ struct Checked_Number_Transparent_Policy {
#define CHECK_P(cond, check) ((cond) ? (check) : (assert(!(check)), false))
-/* Automatically generated from PPL source file ../src/checked.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_inlines.hh line 1. */
/* Abstract checked arithmetic functions: fall-backs.
*/
-/* Automatically generated from PPL source file ../src/checked.inlines.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_inlines.hh line 31. */
/*! \brief
Performs the test <CODE>a < b</CODE> avoiding the warning about the
@@ -7084,7 +7132,7 @@ abs_generic(To& to, const From& from, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From>
+ typename To, typename From>
inline void
gcd_exact_no_abs(To& to, const From& x, const From& y) {
To w_x = x;
@@ -7103,7 +7151,7 @@ gcd_exact_no_abs(To& to, const From& x, const From& y) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
gcd_exact_no_abs<To_Policy, From1_Policy, From2_Policy>(to, x, y);
@@ -7111,12 +7159,12 @@ gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To1_Policy, typename To2_Policy, typename To3_Policy,
- typename From1_Policy, typename From2_Policy,
- typename To1, typename To2, typename To3,
- typename From1, typename From2>
+ typename From1_Policy, typename From2_Policy,
+ typename To1, typename To2, typename To3,
+ typename From1, typename From2>
inline Result
gcdext_exact(To1& to, To2& s, To3& t, const From1& x, const From2& y,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
// In case this becomes a bottleneck, we may consider using the
// Stehle'-Zimmermann algorithm (see R. Crandall and C. Pomerance,
// Prime Numbers - A Computational Perspective, Second Edition,
@@ -7129,9 +7177,9 @@ gcdext_exact(To1& to, To2& s, To3& t, const From1& x, const From2& y,
}
else {
if (x < 0)
- s = -1;
+ s = -1;
else
- s = 1;
+ s = 1;
t = 0;
return abs<To1_Policy, From1_Policy>(to, x, dir);
}
@@ -7176,7 +7224,7 @@ gcdext_exact(To1& to, To2& s, To3& t, const From1& x, const From2& y,
t = v2;
to = v3;
if (t3 == 0)
- break;
+ break;
v1 = t1;
v2 = t2;
v3 = t3;
@@ -7198,7 +7246,7 @@ gcdext_exact(To1& to, To2& s, To3& t, const From1& x, const From2& y,
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
lcm_gcd_exact(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (x == 0 || y == 0) {
@@ -7240,95 +7288,95 @@ struct Safe_Int_Comparison : public False {
template <typename T1, typename T2>
struct Safe_Int_Comparison<T1, T2, typename Enable_If<(C_Integer<T1>::value && C_Integer<T2>::value)>::type>
: public Bool<(C_Integer<T1>::is_signed
- ? (C_Integer<T2>::is_signed
- || sizeof(T2) < sizeof(T1)
- || sizeof(T2) < sizeof(int))
- : (!C_Integer<T2>::is_signed
- || sizeof(T1) < sizeof(T2)
- || sizeof(T1) < sizeof(int)))> {
+ ? (C_Integer<T2>::is_signed
+ || sizeof(T2) < sizeof(T1)
+ || sizeof(T2) < sizeof(int))
+ : (!C_Integer<T2>::is_signed
+ || sizeof(T1) < sizeof(T2)
+ || sizeof(T1) < sizeof(int)))> {
};
template <typename T1, typename T2>
inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
- || Safe_Conversion<T1, T2>::value
- || Safe_Conversion<T2, T1>::value), bool>::type
+ || Safe_Conversion<T1, T2>::value
+ || Safe_Conversion<T2, T1>::value), bool>::type
lt(const T1& x, const T2& y) {
return x < y;
}
template <typename T1, typename T2>
inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
- || Safe_Conversion<T1, T2>::value
- || Safe_Conversion<T2, T1>::value), bool>::type
+ || Safe_Conversion<T1, T2>::value
+ || Safe_Conversion<T2, T1>::value), bool>::type
le(const T1& x, const T2& y) {
return x <= y;
}
template <typename T1, typename T2>
inline typename Enable_If<(Safe_Int_Comparison<T1, T2>::value
- || Safe_Conversion<T1, T2>::value
- || Safe_Conversion<T2, T1>::value), bool>::type
+ || Safe_Conversion<T1, T2>::value
+ || Safe_Conversion<T2, T1>::value), bool>::type
eq(const T1& x, const T2& y) {
return x == y;
}
template <typename S, typename U>
inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
lt(const S& x, const U& y) {
return x < 0 || static_cast<typename C_Integer<S>::other_type>(x) < y;
}
template <typename U, typename S>
inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
lt(const U& x, const S& y) {
return y >= 0 && x < static_cast<typename C_Integer<S>::other_type>(y);
}
template <typename S, typename U>
inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
le(const S& x, const U& y) {
return x < 0 || static_cast<typename C_Integer<S>::other_type>(x) <= y;
}
template <typename U, typename S>
inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
le(const U& x, const S& y) {
return y >= 0 && x <= static_cast<typename C_Integer<S>::other_type>(y);
}
template <typename S, typename U>
inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
eq(const S& x, const U& y) {
return x >= 0 && static_cast<typename C_Integer<S>::other_type>(x) == y;
}
template <typename U, typename S>
inline typename Enable_If<(!Safe_Int_Comparison<S, U>::value
- && C_Integer<U>::value
- && C_Integer<S>::is_signed), bool>::type
+ && C_Integer<U>::value
+ && C_Integer<S>::is_signed), bool>::type
eq(const U& x, const S& y) {
return y >= 0 && x == static_cast<typename C_Integer<S>::other_type>(y);
}
template <typename T1, typename T2>
inline typename Enable_If<(!Safe_Conversion<T1, T2>::value
- && !Safe_Conversion<T2, T1>::value
- && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
+ && !Safe_Conversion<T2, T1>::value
+ && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
eq(const T1& x, const T2& y) {
PPL_DIRTY_TEMP(T1, tmp);
Result r = assign_r(tmp, y, ROUND_CHECK);
// FIXME: We can do this also without fpu inexact check using a
// conversion back and forth and then testing equality. We should
- // code this in checked_float.inlines.hh, probably it's faster also
+ // code this in checked_float_inlines.hh, probably it's faster also
// if fpu supports inexact check.
PPL_ASSERT(r != V_LE && r != V_GE && r != V_LGE);
return r == V_EQ && x == tmp;
@@ -7336,8 +7384,8 @@ eq(const T1& x, const T2& y) {
template <typename T1, typename T2>
inline typename Enable_If<(!Safe_Conversion<T1, T2>::value
- && !Safe_Conversion<T2, T1>::value
- && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
+ && !Safe_Conversion<T2, T1>::value
+ && (!C_Integer<T1>::value || !C_Integer<T2>::value)), bool>::type
lt(const T1& x, const T2& y) {
PPL_DIRTY_TEMP(T1, tmp);
Result r = assign_r(tmp, y, ROUND_UP);
@@ -7363,7 +7411,7 @@ le(const T1& x, const T2& y) {
Result r = assign_r(tmp, y, (ROUND_UP | ROUND_STRICT_RELATION));
// FIXME: We can do this also without fpu inexact check using a
// conversion back and forth and then testing equality. We should
- // code this in checked_float.inlines.hh, probably it's faster also
+ // code this in checked_float_inlines.hh, probably it's faster also
// if fpu supports inexact check.
PPL_ASSERT(r != V_LE && r != V_GE && r != V_LGE);
if (!result_representable(r))
@@ -7385,28 +7433,28 @@ le(const T1& x, const T2& y) {
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
lt_p(const Type1& x, const Type2& y) {
return lt(x, y);
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
le_p(const Type1& x, const Type2& y) {
return le(x, y);
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
eq_p(const Type1& x, const Type2& y) {
return eq(x, y);
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline Result_Relation
cmp_generic(const Type1& x, const Type2& y) {
if (lt(y, x))
@@ -7446,12 +7494,12 @@ input_generic(Type& to, std::istream& is, Rounding_Dir dir) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked_int.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_int_inlines.hh line 1. */
/* Specialized "checked" functions for native integer numbers.
*/
-/* Automatically generated from PPL source file ../src/checked_int.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_int_inlines.hh line 28. */
#include <cerrno>
#include <cstdlib>
#include <climits>
@@ -7499,8 +7547,8 @@ template <typename Policy, typename Type>
struct Extended_Int {
static const Type plus_infinity = C_Integer<Type>::max;
static const Type minus_infinity = ((C_Integer<Type>::min >= 0)
- ? (C_Integer<Type>::max - 1)
- : C_Integer<Type>::min);
+ ? (C_Integer<Type>::max - 1)
+ : C_Integer<Type>::min);
static const Type not_a_number
= ((C_Integer<Type>::min >= 0)
? (C_Integer<Type>::max - 2 * (Policy::has_infinity ? 1 : 0))
@@ -7575,8 +7623,8 @@ round_lt_int(To& to, Rounding_Dir dir) {
if (round_down(dir)) {
if (to == Extended_Int<Policy, To>::min) {
if (Policy::has_infinity) {
- to = Extended_Int<Policy, To>::minus_infinity;
- return V_GT_MINUS_INFINITY;
+ to = Extended_Int<Policy, To>::minus_infinity;
+ return V_GT_MINUS_INFINITY;
}
return V_GT_MINUS_INFINITY | V_UNREPRESENTABLE;
}
@@ -7594,8 +7642,8 @@ round_gt_int(To& to, Rounding_Dir dir) {
if (round_up(dir)) {
if (to == Extended_Int<Policy, To>::max) {
if (Policy::has_infinity) {
- to = Extended_Int<Policy, To>::plus_infinity;
- return V_LT_PLUS_INFINITY;
+ to = Extended_Int<Policy, To>::plus_infinity;
+ return V_LT_PLUS_INFINITY;
}
return V_LT_PLUS_INFINITY | V_UNREPRESENTABLE;
}
@@ -7784,14 +7832,14 @@ inline Result
assign_signed_int_signed_int(To& to, const From from, Rounding_Dir dir) {
if (sizeof(To) < sizeof(From)
|| (sizeof(To) == sizeof(From)
- && (Extended_Int<To_Policy, To>::min > Extended_Int<From_Policy, From>::min
- || Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max))) {
+ && (Extended_Int<To_Policy, To>::min > Extended_Int<From_Policy, From>::min
+ || Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max))) {
if (CHECK_P(To_Policy::check_overflow,
- PPL_LT_SILENT(from,
+ PPL_LT_SILENT(from,
static_cast<From>(Extended_Int<To_Policy, To>::min))))
return set_neg_overflow_int<To_Policy>(to, dir);
if (CHECK_P(To_Policy::check_overflow,
- PPL_GT_SILENT(from,
+ PPL_GT_SILENT(from,
static_cast<From>(Extended_Int<To_Policy, To>::max))))
return set_pos_overflow_int<To_Policy>(to, dir);
}
@@ -7804,7 +7852,7 @@ inline Result
assign_signed_int_unsigned_int(To& to, const From from, Rounding_Dir dir) {
if (sizeof(To) <= sizeof(From)) {
if (CHECK_P(To_Policy::check_overflow,
- from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
+ from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
return set_pos_overflow_int<To_Policy>(to, dir);
}
to = static_cast<To>(from);
@@ -7818,7 +7866,7 @@ assign_unsigned_int_signed_int(To& to, const From from, Rounding_Dir dir) {
return set_neg_overflow_int<To_Policy>(to, dir);
if (sizeof(To) < sizeof(From)) {
if (CHECK_P(To_Policy::check_overflow,
- from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
+ from > static_cast<From>(Extended_Int<To_Policy, To>::max)))
return set_pos_overflow_int<To_Policy>(to, dir);
}
to = static_cast<To>(from);
@@ -7830,9 +7878,9 @@ inline Result
assign_unsigned_int_unsigned_int(To& to, const From from, Rounding_Dir dir) {
if (sizeof(To) < sizeof(From)
|| (sizeof(To) == sizeof(From)
- && Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max)) {
+ && Extended_Int<To_Policy, To>::max < Extended_Int<From_Policy, From>::max)) {
if (CHECK_P(To_Policy::check_overflow,
- PPL_GT_SILENT(from,
+ PPL_GT_SILENT(from,
static_cast<From>(Extended_Int<To_Policy, To>::max))))
return set_pos_overflow_int<To_Policy>(to, dir);
}
@@ -8047,9 +8095,9 @@ assign_signed_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
if (from.fits_slong_p()) {
signed long v = from.get_si();
if (PPL_LT_SILENT(v, (Extended_Int<To_Policy, To>::min)))
- return set_neg_overflow_int<To_Policy>(to, dir);
+ return set_neg_overflow_int<To_Policy>(to, dir);
if (PPL_GT_SILENT(v, (Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
+ return set_pos_overflow_int<To_Policy>(to, dir);
to = v;
return V_EQ;
}
@@ -8059,16 +8107,16 @@ assign_signed_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
size_t sz = mpz_size(m);
if (sz <= sizeof(To) / sizeof(mp_limb_t)) {
if (sz == 0) {
- to = 0;
- return V_EQ;
+ to = 0;
+ return V_EQ;
}
To v;
mpz_export(&v, 0, -1, sizeof(To), 0, 0, m);
if (v >= 0) {
- if (::sgn(from) < 0)
- return neg<To_Policy, To_Policy>(to, v, dir);
- to = v;
- return V_EQ;
+ if (::sgn(from) < 0)
+ return neg<To_Policy, To_Policy>(to, v, dir);
+ to = v;
+ return V_EQ;
}
}
}
@@ -8097,21 +8145,21 @@ assign_unsigned_int_mpz(To& to, const mpz_class& from, Rounding_Dir dir) {
return V_EQ;
}
if (from.fits_ulong_p()) {
- unsigned long v = from.get_ui();
+ const unsigned long v = from.get_ui();
if (PPL_GT_SILENT(v, (Extended_Int<To_Policy, To>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
+ return set_pos_overflow_int<To_Policy>(to, dir);
to = static_cast<To>(v);
return V_EQ;
}
}
else {
- mpz_srcptr m = from.get_mpz_t();
- size_t sz = mpz_size(m);
+ const mpz_srcptr m = from.get_mpz_t();
+ const size_t sz = mpz_size(m);
if (sz <= sizeof(To) / sizeof(mp_limb_t)) {
if (sz == 0)
- to = 0;
+ to = 0;
else
- mpz_export(&to, 0, -1, sizeof(To), 0, 0, m);
+ mpz_export(&to, 0, -1, sizeof(To), 0, 0, m);
return V_EQ;
}
}
@@ -8391,7 +8439,7 @@ neg_signed_int(Type& to, const Type from, Rounding_Dir dir) {
if (To_Policy::check_overflow && Larger<Type>::use_for_neg)
return neg_int_larger<To_Policy, From_Policy>(to, from, dir);
if (CHECK_P(To_Policy::check_overflow,
- (from < -Extended_Int<To_Policy, Type>::max)))
+ (from < -Extended_Int<To_Policy, Type>::max)))
return set_pos_overflow_int<To_Policy>(to, dir);
to = -from;
return V_EQ;
@@ -8417,7 +8465,7 @@ add_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_overflow) {
if (y >= 0) {
if (x > Extended_Int<To_Policy, Type>::max - y)
- return set_pos_overflow_int<To_Policy>(to, dir);
+ return set_pos_overflow_int<To_Policy>(to, dir);
}
else if (x < Extended_Int<To_Policy, Type>::min - y)
return set_neg_overflow_int<To_Policy>(to, dir);
@@ -8433,7 +8481,7 @@ add_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_overflow && Larger<Type>::use_for_add)
return add_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
if (CHECK_P(To_Policy::check_overflow,
- (x > Extended_Int<To_Policy, Type>::max - y)))
+ (x > Extended_Int<To_Policy, Type>::max - y)))
return set_pos_overflow_int<To_Policy>(to, dir);
to = x + y;
return V_EQ;
@@ -8448,7 +8496,7 @@ sub_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_overflow) {
if (y >= 0) {
if (x < Extended_Int<To_Policy, Type>::min + y)
- return set_neg_overflow_int<To_Policy>(to, dir);
+ return set_neg_overflow_int<To_Policy>(to, dir);
}
else if (x > Extended_Int<To_Policy, Type>::max + y)
return set_pos_overflow_int<To_Policy>(to, dir);
@@ -8464,7 +8512,7 @@ sub_unsigned_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_overflow && Larger<Type>::use_for_sub)
return sub_int_larger<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
if (CHECK_P(To_Policy::check_overflow,
- (x < Extended_Int<To_Policy, Type>::min + y)))
+ (x < Extended_Int<To_Policy, Type>::min + y)))
return set_neg_overflow_int<To_Policy>(to, dir);
to = x - y;
return V_EQ;
@@ -8489,21 +8537,21 @@ mul_signed_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (x >= 0) {
if (y > 0) {
if (x > Extended_Int<To_Policy, Type>::max / y)
- return set_pos_overflow_int<To_Policy>(to, dir);
+ return set_pos_overflow_int<To_Policy>(to, dir);
}
else {
if (x > Extended_Int<To_Policy, Type>::min / y)
- return set_neg_overflow_int<To_Policy>(to, dir);
+ return set_neg_overflow_int<To_Policy>(to, dir);
}
}
else {
if (y < 0) {
if (x < Extended_Int<To_Policy, Type>::max / y)
- return set_pos_overflow_int<To_Policy>(to, dir);
+ return set_pos_overflow_int<To_Policy>(to, dir);
}
else {
if (x < Extended_Int<To_Policy, Type>::min / y)
- return set_neg_overflow_int<To_Policy>(to, dir);
+ return set_neg_overflow_int<To_Policy>(to, dir);
}
}
to = x * y;
@@ -8640,45 +8688,40 @@ template <typename To_Policy, typename From_Policy, typename Type>
inline Result
div_2exp_signed_int(Type& to, const Type x, unsigned int exp,
Rounding_Dir dir) {
- if (exp > sizeof_to_bits(sizeof(Type)) - 1) {
- zero:
- to = 0;
+ if (x < 0) {
+ if (exp >= sizeof_to_bits(sizeof(Type))) {
+ to = 0;
+ if (round_not_requested(dir))
+ return V_LE;
+ return round_lt_int_no_overflow<To_Policy>(to, dir);
+ }
+ typedef typename C_Integer<Type>::other_type UType;
+ UType ux = x;
+ ux = -ux;
+ to = ~Type(~-(ux >> exp));
if (round_not_requested(dir))
- return V_LGE;
- if (x < 0)
+ return V_LE;
+ if (ux & ((UType(1) << exp) -1))
return round_lt_int_no_overflow<To_Policy>(to, dir);
- else if (x > 0)
+ return V_EQ;
+ }
+ else {
+ if (exp >= sizeof_to_bits(sizeof(Type)) - 1) {
+ to = 0;
+ if (round_not_requested(dir))
+ return V_GE;
+ if (x == 0)
+ return V_EQ;
+ return round_gt_int_no_overflow<To_Policy>(to, dir);
+ }
+ to = x >> exp;
+ if (round_not_requested(dir))
+ return V_GE;
+ if (x & ((Type(1) << exp) - 1))
return round_gt_int_no_overflow<To_Policy>(to, dir);
else
return V_EQ;
}
- if (exp == sizeof_to_bits(sizeof(Type)) - 1) {
- if (x == C_Integer<Type>::min) {
- to = -1;
- return V_EQ;
- }
- goto zero;
- }
-#if 0
- to = x / (Type(1) << exp);
- if (round_not_requested(dir))
- return V_GE;
- Type r = x % (Type(1) << exp);
- if (r < 0)
- return round_lt_int_no_overflow<To_Policy>(to, dir);
- else if (r > 0)
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- else
- return V_EQ;
-#else
- // Faster but compiler implementation dependent (see C++98 5.8.3)
- to = x >> exp;
- if (round_not_requested(dir))
- return V_GE;
- if (x & ((Type(1) << exp) - 1))
- return round_gt_int_no_overflow<To_Policy>(to, dir);
- return V_EQ;
-#endif
}
template <typename To_Policy, typename From_Policy, typename Type>
@@ -8698,7 +8741,7 @@ add_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
template <typename To_Policy, typename From_Policy, typename Type>
inline Result
add_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
if (!To_Policy::check_overflow) {
to = x + (Type(1) << exp);
return V_EQ;
@@ -8732,7 +8775,7 @@ sub_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
template <typename To_Policy, typename From_Policy, typename Type>
inline Result
sub_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
if (!To_Policy::check_overflow) {
to = x - (Type(1) << exp);
return V_EQ;
@@ -8764,12 +8807,9 @@ mul_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
}
return set_pos_overflow_int<To_Policy>(to, dir);
}
- if (x & (((Type(1) << exp) - 1) << (sizeof_to_bits(sizeof(Type)) - exp)))
+ if (x > Extended_Int<To_Policy, Type>::max >> exp)
return set_pos_overflow_int<To_Policy>(to, dir);
- Type n = x << exp;
- if (PPL_GT_SILENT(n, (Extended_Int<To_Policy, Type>::max)))
- return set_pos_overflow_int<To_Policy>(to, dir);
- to = n;
+ to = x << exp;
return V_EQ;
}
@@ -8777,44 +8817,47 @@ template <typename To_Policy, typename From_Policy, typename Type>
inline Result
mul_2exp_signed_int(Type& to, const Type x, unsigned int exp,
Rounding_Dir dir) {
- if (!To_Policy::check_overflow) {
- to = x << exp;
- return V_EQ;
- }
- if (exp >= sizeof_to_bits(sizeof(Type)) - 1) {
- if (x < 0)
- return set_neg_overflow_int<To_Policy>(to, dir);
- else if (x > 0)
- return set_pos_overflow_int<To_Policy>(to, dir);
- else {
- to = 0;
+ if (x < 0) {
+ if (!To_Policy::check_overflow) {
+ to = x * (Type(1) << exp);
return V_EQ;
}
- }
- Type mask = ((Type(1) << exp) - 1) << ((sizeof_to_bits(sizeof(Type)) - 1) - exp);
- Type n;
- if (x < 0) {
- if ((x & mask) != mask)
+ if (exp >= sizeof_to_bits(sizeof(Type)))
return set_neg_overflow_int<To_Policy>(to, dir);
- n = x << exp;
+ typedef typename C_Integer<Type>::other_type UType;
+ UType mask = UType(-1) << (sizeof_to_bits(sizeof(Type)) - exp - 1);
+ UType ux = x;
+ if ((ux & mask) != mask)
+ return set_neg_overflow_int<To_Policy>(to, dir);
+ ux <<= exp;
+ Type n = ~(Type(~ux));
if (PPL_LT_SILENT(n, (Extended_Int<To_Policy, Type>::min)))
return set_neg_overflow_int<To_Policy>(to, dir);
+ to = n;
}
else {
- if (x & mask)
+ if (!To_Policy::check_overflow) {
+ to = x << exp;
+ return V_EQ;
+ }
+ if (exp >= sizeof_to_bits(sizeof(Type)) - 1) {
+ if (x == 0) {
+ to = 0;
+ return V_EQ;
+ }
return set_pos_overflow_int<To_Policy>(to, dir);
- n = x << exp;
- if (PPL_GT_SILENT(n, (Extended_Int<To_Policy, Type>::max)))
+ }
+ if (x > Extended_Int<To_Policy, Type>::max >> exp)
return set_pos_overflow_int<To_Policy>(to, dir);
+ to = x << exp;
}
- to = n;
return V_EQ;
}
template <typename To_Policy, typename From_Policy, typename Type>
inline Result
smod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
if (exp > sizeof_to_bits(sizeof(Type)))
to = x;
else {
@@ -8830,7 +8873,7 @@ smod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
template <typename To_Policy, typename From_Policy, typename Type>
inline Result
smod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir) {
+ Rounding_Dir) {
if (exp >= sizeof_to_bits(sizeof(Type)))
to = x;
else {
@@ -8843,7 +8886,7 @@ smod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
template <typename To_Policy, typename From_Policy, typename Type>
inline Result
umod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir) {
+ Rounding_Dir) {
if (exp >= sizeof_to_bits(sizeof(Type)))
to = x;
else
@@ -8854,7 +8897,7 @@ umod_2exp_unsigned_int(Type& to, const Type x, unsigned int exp,
template <typename To_Policy, typename From_Policy, typename Type>
inline Result
umod_2exp_signed_int(Type& to, const Type x, unsigned int exp,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
if (exp >= sizeof_to_bits(sizeof(Type))) {
if (x < 0)
return set_pos_overflow_int<To_Policy>(to, dir);
@@ -8951,7 +8994,7 @@ sub_mul_int(Type& to, const Type x, const Type y, Rounding_Dir dir) {
template <typename Policy, typename Type>
inline Result
output_char(std::ostream& os, Type& from,
- const Numeric_Format&, Rounding_Dir) {
+ const Numeric_Format&, Rounding_Dir) {
os << int(from);
return V_EQ;
}
@@ -9381,15 +9424,13 @@ PPL_SPECIALIZE_OUTPUT(output_int, unsigned long long)
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked_float.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_float_inlines.hh line 1. */
/* Specialized "checked" functions for native floating-point numbers.
*/
-/* Automatically generated from PPL source file ../src/checked_float.inlines.hh line 28. */
-#ifndef __alpha
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_float_inlines.hh line 28. */
#include <cmath>
-#endif
namespace Parma_Polyhedra_Library {
@@ -9801,7 +9842,7 @@ neg_float(Type& to, const Type from, Rounding_Dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
add_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_inf_add_inf
@@ -9831,7 +9872,7 @@ add_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
sub_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_inf_sub_inf
@@ -9861,13 +9902,13 @@ sub_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_inf_mul_zero
&& ((x == 0 && is_inf_float<From2_Policy>(y))
||
- (y == 0 && is_inf_float<From1_Policy>(x)))) {
+ (y == 0 && is_inf_float<From1_Policy>(x)))) {
return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
}
prepare_inexact<To_Policy>(dir);
@@ -9893,7 +9934,7 @@ mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
div_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_inf_div_inf
@@ -9926,7 +9967,7 @@ div_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
idiv_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
Type temp;
@@ -9946,7 +9987,7 @@ idiv_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
rem_float(Type& to, const Type x, const Type y, Rounding_Dir) {
if (To_Policy::check_inf_mod && is_inf_float<From1_Policy>(x)) {
@@ -10197,8 +10238,8 @@ assign_float_mpz(T& to, const mpz_class& from, Rounding_Dir dir) {
mpz_init(mantissa);
if (exponent > Float<T>::Binary::MANTISSA_BITS)
mpz_tdiv_q_2exp(mantissa,
- from_z,
- exponent - Float<T>::Binary::MANTISSA_BITS);
+ from_z,
+ exponent - Float<T>::Binary::MANTISSA_BITS);
else
mpz_mul_2exp(mantissa, from_z, Float<T>::Binary::MANTISSA_BITS - exponent);
Float<T> f;
@@ -10290,13 +10331,13 @@ assign_float_mpq(T& to, const mpq_class& from, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename Type>
+ typename Type>
inline Result
add_mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_inf_mul_zero
&& ((x == 0 && is_inf_float<From2_Policy>(y))
||
- (y == 0 && is_inf_float<From1_Policy>(x)))) {
+ (y == 0 && is_inf_float<From1_Policy>(x)))) {
return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
}
// FIXME: missing check_inf_add_inf
@@ -10329,7 +10370,7 @@ sub_mul_float(Type& to, const Type x, const Type y, Rounding_Dir dir) {
if (To_Policy::check_inf_mul_zero
&& ((x == 0 && is_inf_float<From2_Policy>(y))
||
- (y == 0 && is_inf_float<From1_Policy>(x)))) {
+ (y == 0 && is_inf_float<From1_Policy>(x)))) {
return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
}
// FIXME: missing check_inf_add_inf
@@ -10366,26 +10407,26 @@ template <>
inline void
assign_mpq_numeric_float(mpq_class& to, const long double from) {
to = 0;
- if (from == 0)
+ if (from == 0.0L)
return;
mpz_class& num = to.get_num();
mpz_class& den = to.get_den();
int exp;
- long double n = frexpl(from, &exp);
+ long double n = std::frexp(from, &exp);
bool neg = false;
- if (n < 0) {
+ if (n < 0.0L) {
neg = true;
n = -n;
}
- const long double mult = static_cast<long double>(ULONG_MAX) + 1;
+ const long double mult = static_cast<long double>(ULONG_MAX) + 1.0L;
const unsigned int bits = sizeof(unsigned long) * CHAR_BIT;
while (true) {
n *= mult;
exp -= bits;
- long double intpart = floorl(n);
- num += (unsigned long)intpart;
+ const long double intpart = std::floor(n);
+ num += static_cast<unsigned long>(intpart);
n -= intpart;
- if (n == 0)
+ if (n == 0.0L)
break;
num <<= bits;
}
@@ -10401,7 +10442,7 @@ assign_mpq_numeric_float(mpq_class& to, const long double from) {
template <typename Policy, typename Type>
inline Result
output_float(std::ostream& os, const Type from, const Numeric_Format&,
- Rounding_Dir) {
+ Rounding_Dir) {
if (from == 0)
os << "0";
else if (is_minf<Policy>(from))
@@ -10581,7 +10622,7 @@ PPL_SPECIALIZE_UMOD_2EXP(umod_2exp_float, long double, long double)
PPL_SPECIALIZE_SQRT(sqrt_float, long double, long double)
PPL_SPECIALIZE_GCD(gcd_exact, long double, long double, long double)
PPL_SPECIALIZE_GCDEXT(gcdext_exact, long double, long double, long double,
- long double, long double)
+ long double, long double)
PPL_SPECIALIZE_LCM(lcm_gcd_exact, long double, long double, long double)
PPL_SPECIALIZE_SGN(sgn_float, long double)
PPL_SPECIALIZE_CMP(cmp_float, long double, long double)
@@ -10595,7 +10636,7 @@ PPL_SPECIALIZE_OUTPUT(output_float, long double)
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked_mpz.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_mpz_inlines.hh line 1. */
/* Specialized "checked" functions for GMP's mpz_class numbers.
*/
@@ -10650,16 +10691,16 @@ classify_mpz(const mpz_class& v, bool nan, bool inf, bool sign) {
if (Policy::has_nan || Policy::has_infinity) {
mp_size_field_t s = get_mp_size(v);
if (Policy::has_nan
- && (nan || sign)
- && s == C_Integer<mp_size_field_t>::min + 1)
+ && (nan || sign)
+ && s == C_Integer<mp_size_field_t>::min + 1)
return V_NAN;
if (!inf && !sign)
return V_LGE;
if (Policy::has_infinity) {
if (s == C_Integer<mp_size_field_t>::min)
- return inf ? V_EQ_MINUS_INFINITY : V_LT;
+ return inf ? V_EQ_MINUS_INFINITY : V_LT;
if (s == C_Integer<mp_size_field_t>::max)
- return inf ? V_EQ_PLUS_INFINITY : V_GT;
+ return inf ? V_EQ_PLUS_INFINITY : V_GT;
}
}
if (sign)
@@ -10900,8 +10941,8 @@ assign_mpz_mpq(mpz_class& to, const mpq_class& from, Rounding_Dir dir) {
to = from;
return V_LGE;
}
- mpz_srcptr n = from.get_num().get_mpz_t();
- mpz_srcptr d = from.get_den().get_mpz_t();
+ const mpz_srcptr n = from.get_num().get_mpz_t();
+ const mpz_srcptr d = from.get_den().get_mpz_t();
if (round_down(dir)) {
mpz_fdiv_q(to.get_mpz_t(), n, d);
if (round_strict_relation(dir))
@@ -10962,12 +11003,12 @@ PPL_SPECIALIZE_MUL(mul_mpz, mpz_class, mpz_class, mpz_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
div_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
return assign_nan<To_Policy>(to, V_DIV_ZERO);
}
- mpz_srcptr n = x.get_mpz_t();
- mpz_srcptr d = y.get_mpz_t();
+ const mpz_srcptr n = x.get_mpz_t();
+ const mpz_srcptr d = y.get_mpz_t();
if (round_not_needed(dir)) {
mpz_divexact(to.get_mpz_t(), n, d);
return V_LGE;
@@ -10996,7 +11037,7 @@ PPL_SPECIALIZE_DIV(div_mpz, mpz_class, mpz_class, mpz_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
idiv_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
+ Rounding_Dir) {
if (CHECK_P(To_Policy::check_div_zero, ::sgn(y) == 0)) {
return assign_nan<To_Policy>(to, V_DIV_ZERO);
}
@@ -11060,7 +11101,7 @@ template <typename To_Policy, typename From_Policy>
inline Result
div_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
Rounding_Dir dir) {
- mpz_srcptr n = x.get_mpz_t();
+ const mpz_srcptr n = x.get_mpz_t();
if (round_not_requested(dir)) {
mpz_tdiv_q_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
return V_LGE;
@@ -11085,7 +11126,7 @@ PPL_SPECIALIZE_DIV_2EXP(div_2exp_mpz, mpz_class, mpz_class)
template <typename To_Policy, typename From_Policy>
inline Result
smod_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
+ Rounding_Dir) {
if (mpz_tstbit(x.get_mpz_t(), exp - 1) != 0)
mpz_cdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
else
@@ -11098,7 +11139,7 @@ PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_mpz, mpz_class, mpz_class)
template <typename To_Policy, typename From_Policy>
inline Result
umod_2exp_mpz(mpz_class& to, const mpz_class& x, unsigned int exp,
- Rounding_Dir) {
+ Rounding_Dir) {
mpz_fdiv_r_2exp(to.get_mpz_t(), x.get_mpz_t(), exp);
return V_EQ;
}
@@ -11117,7 +11158,7 @@ PPL_SPECIALIZE_ABS(abs_mpz, mpz_class, mpz_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
add_mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
+ Rounding_Dir) {
mpz_addmul(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
return V_EQ;
}
@@ -11127,7 +11168,7 @@ PPL_SPECIALIZE_ADD_MUL(add_mul_mpz, mpz_class, mpz_class, mpz_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
sub_mul_mpz(mpz_class& to, const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
+ Rounding_Dir) {
mpz_submul(to.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
return V_EQ;
}
@@ -11146,10 +11187,10 @@ PPL_SPECIALIZE_GCD(gcd_mpz, mpz_class, mpz_class, mpz_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
gcdext_mpz(mpz_class& to, mpz_class& s, mpz_class& t,
- const mpz_class& x, const mpz_class& y,
- Rounding_Dir) {
+ const mpz_class& x, const mpz_class& y,
+ Rounding_Dir) {
mpz_gcdext(to.get_mpz_t(), s.get_mpz_t(), t.get_mpz_t(),
- x.get_mpz_t(), y.get_mpz_t());
+ x.get_mpz_t(), y.get_mpz_t());
return V_EQ;
}
@@ -11186,8 +11227,8 @@ PPL_SPECIALIZE_SQRT(sqrt_mpz, mpz_class, mpz_class)
template <typename Policy, typename Type>
inline Result_Relation
sgn_mp(const Type& x) {
- int i = ::sgn(x);
- return (i > 0) ? VR_GT : ((i < 0) ? VR_LT : VR_EQ);
+ const int sign = ::sgn(x);
+ return (sign > 0) ? VR_GT : ((sign < 0) ? VR_LT : VR_EQ);
}
PPL_SPECIALIZE_SGN(sgn_mp, mpz_class)
@@ -11206,7 +11247,7 @@ PPL_SPECIALIZE_CMP(cmp_mp, mpq_class, mpq_class)
template <typename Policy>
inline Result
output_mpz(std::ostream& os, const mpz_class& from, const Numeric_Format&,
- Rounding_Dir) {
+ Rounding_Dir) {
os << from;
return V_EQ;
}
@@ -11218,7 +11259,7 @@ PPL_SPECIALIZE_OUTPUT(output_mpz, mpz_class)
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked_mpq.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_mpq_inlines.hh line 1. */
/* Specialized "checked" functions for GMP's mpq_class numbers.
*/
@@ -11243,9 +11284,9 @@ classify_mpq(const mpq_class& v, bool nan, bool inf, bool sign) {
return V_LGE;
if (Policy::has_infinity) {
if (s < 0)
- return inf ? V_EQ_MINUS_INFINITY : V_LT;
+ return inf ? V_EQ_MINUS_INFINITY : V_LT;
if (s > 0)
- return inf ? V_EQ_PLUS_INFINITY : V_GT;
+ return inf ? V_EQ_PLUS_INFINITY : V_GT;
}
}
if (sign)
@@ -11434,7 +11475,7 @@ template <typename To_Policy, typename From_Policy>
inline Result
floor_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
mpz_fdiv_q(to.get_num().get_mpz_t(),
- from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
+ from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
to.get_den() = 1;
return V_EQ;
}
@@ -11445,7 +11486,7 @@ template <typename To_Policy, typename From_Policy>
inline Result
ceil_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
mpz_cdiv_q(to.get_num().get_mpz_t(),
- from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
+ from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
to.get_den() = 1;
return V_EQ;
}
@@ -11456,7 +11497,7 @@ template <typename To_Policy, typename From_Policy>
inline Result
trunc_mpq(mpq_class& to, const mpq_class& from, Rounding_Dir) {
mpz_tdiv_q(to.get_num().get_mpz_t(),
- from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
+ from.get_num().get_mpz_t(), from.get_den().get_mpz_t());
to.get_den() = 1;
return V_EQ;
}
@@ -11591,7 +11632,7 @@ PPL_SPECIALIZE_DIV_2EXP(div_2exp_mpq, mpq_class, mpq_class)
template <typename To_Policy, typename From_Policy>
inline Result
smod_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
+ Rounding_Dir) {
mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
mpz_fdiv_r(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), to.get_den().get_mpz_t());
mpz_fdiv_q_2exp(to.get_den().get_mpz_t(), to.get_den().get_mpz_t(), 1);
@@ -11609,7 +11650,7 @@ PPL_SPECIALIZE_SMOD_2EXP(smod_2exp_mpq, mpq_class, mpq_class)
template <typename To_Policy, typename From_Policy>
inline Result
umod_2exp_mpq(mpq_class& to, const mpq_class& x, unsigned int exp,
- Rounding_Dir) {
+ Rounding_Dir) {
mpz_mul_2exp(to.get_den().get_mpz_t(), x.get_den().get_mpz_t(), exp);
mpz_fdiv_r(to.get_num().get_mpz_t(), x.get_num().get_mpz_t(), to.get_den().get_mpz_t());
mpz_mul_2exp(to.get_num().get_mpz_t(), to.get_num().get_mpz_t(), exp);
@@ -11631,7 +11672,7 @@ PPL_SPECIALIZE_ABS(abs_mpq, mpq_class, mpq_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
add_mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y,
- Rounding_Dir) {
+ Rounding_Dir) {
to += x * y;
return V_EQ;
}
@@ -11641,7 +11682,7 @@ PPL_SPECIALIZE_ADD_MUL(add_mul_mpq, mpq_class, mpq_class, mpq_class)
template <typename To_Policy, typename From1_Policy, typename From2_Policy>
inline Result
sub_mul_mpq(mpq_class& to, const mpq_class& x, const mpq_class& y,
- Rounding_Dir) {
+ Rounding_Dir) {
to -= x * y;
return V_EQ;
}
@@ -11701,9 +11742,9 @@ PPL_SPECIALIZE_INPUT(input_mpq, mpq_class)
template <typename Policy>
inline Result
output_mpq(std::ostream& os,
- const mpq_class& from,
- const Numeric_Format&,
- Rounding_Dir) {
+ const mpq_class& from,
+ const Numeric_Format&,
+ Rounding_Dir) {
os << from;
return V_EQ;
}
@@ -11733,12 +11774,12 @@ set_irrational_precision(const unsigned p) {
Checked::irrational_precision = p;
else
throw std::invalid_argument("PPL::set_irrational_precision(p)"
- " with p > INT_MAX");
+ " with p > INT_MAX");
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked_ext.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_ext_inlines.hh line 1. */
/* Checked extended arithmetic functions.
*/
@@ -11783,7 +11824,7 @@ sgn_ext(const Type& x) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
construct_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11801,7 +11842,7 @@ construct_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
assign_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11819,7 +11860,7 @@ assign_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
neg_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11837,7 +11878,7 @@ neg_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
floor_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11855,7 +11896,7 @@ floor_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
ceil_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11873,7 +11914,7 @@ ceil_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
trunc_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11891,7 +11932,7 @@ trunc_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
abs_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -11907,7 +11948,7 @@ abs_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
add_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
@@ -11945,7 +11986,7 @@ add_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
sub_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
@@ -11983,7 +12024,7 @@ sub_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
@@ -12014,25 +12055,25 @@ mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (is_minf<From2_Policy>(y)) {
switch (sgn<From1_Policy>(x)) {
case VR_LT:
- goto pinf;
+ goto pinf;
case VR_GT:
- goto minf;
+ goto minf;
default:
- goto inf_mul_zero;
+ goto inf_mul_zero;
}
}
else if (is_pinf<From2_Policy>(y)) {
switch (sgn<From1_Policy>(x)) {
case VR_LT:
minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
case VR_GT:
pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
default:
inf_mul_zero:
- PPL_ASSERT(To_Policy::check_inf_mul_zero);
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ PPL_ASSERT(To_Policy::check_inf_mul_zero);
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
}
}
else {
@@ -12044,7 +12085,7 @@ mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
add_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<To_Policy>(to)
@@ -12077,43 +12118,43 @@ add_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (is_minf<From2_Policy>(y)) {
switch (sgn<From1_Policy>(x)) {
case VR_LT:
- goto a_pinf;
+ goto a_pinf;
case VR_GT:
- goto a_minf;
+ goto a_minf;
default:
- goto inf_mul_zero;
+ goto inf_mul_zero;
}
}
else if (is_pinf<From2_Policy>(y)) {
switch (sgn<From1_Policy>(x)) {
case VR_LT:
a_minf:
- if (CHECK_P(To_Policy::check_inf_add_inf, is_pinf<To_Policy>(to)))
- goto inf_add_inf;
- else
- goto minf;
+ if (CHECK_P(To_Policy::check_inf_add_inf, is_pinf<To_Policy>(to)))
+ goto inf_add_inf;
+ else
+ goto minf;
case VR_GT:
a_pinf:
- if (CHECK_P(To_Policy::check_inf_add_inf, is_minf<To_Policy>(to))) {
- inf_add_inf:
- return assign_nan<To_Policy>(to, V_INF_ADD_INF);
- }
- else
- goto pinf;
+ if (CHECK_P(To_Policy::check_inf_add_inf, is_minf<To_Policy>(to))) {
+ inf_add_inf:
+ return assign_nan<To_Policy>(to, V_INF_ADD_INF);
+ }
+ else
+ goto pinf;
default:
inf_mul_zero:
- PPL_ASSERT(To_Policy::check_inf_mul_zero);
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ PPL_ASSERT(To_Policy::check_inf_mul_zero);
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
}
}
else {
if (is_minf<To_Policy>(to)) {
minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
}
if (is_pinf<To_Policy>(to)) {
pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
}
native:
return add_mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
@@ -12122,7 +12163,7 @@ add_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
sub_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<To_Policy>(to)
@@ -12155,43 +12196,43 @@ sub_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (is_minf<From2_Policy>(y)) {
switch (sgn<From1_Policy>(x)) {
case VR_LT:
- goto a_pinf;
+ goto a_pinf;
case VR_GT:
- goto a_minf;
+ goto a_minf;
default:
- goto inf_mul_zero;
+ goto inf_mul_zero;
}
}
else if (is_pinf<From2_Policy>(y)) {
switch (sgn<From1_Policy>(x)) {
case VR_LT:
a_minf:
- if (CHECK_P(To_Policy::check_inf_sub_inf, is_minf<To_Policy>(to)))
- goto inf_sub_inf;
- else
- goto pinf;
+ if (CHECK_P(To_Policy::check_inf_sub_inf, is_minf<To_Policy>(to)))
+ goto inf_sub_inf;
+ else
+ goto pinf;
case VR_GT:
a_pinf:
- if (CHECK_P(To_Policy::check_inf_sub_inf, is_pinf<To_Policy>(to))) {
- inf_sub_inf:
- return assign_nan<To_Policy>(to, V_INF_SUB_INF);
- }
- else
- goto minf;
+ if (CHECK_P(To_Policy::check_inf_sub_inf, is_pinf<To_Policy>(to))) {
+ inf_sub_inf:
+ return assign_nan<To_Policy>(to, V_INF_SUB_INF);
+ }
+ else
+ goto minf;
default:
inf_mul_zero:
- PPL_ASSERT(To_Policy::check_inf_mul_zero);
- return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
+ PPL_ASSERT(To_Policy::check_inf_mul_zero);
+ return assign_nan<To_Policy>(to, V_INF_MUL_ZERO);
}
}
else {
if (is_minf<To_Policy>(to)) {
minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
}
if (is_pinf<To_Policy>(to)) {
pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
}
native:
return sub_mul<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
@@ -12200,7 +12241,7 @@ sub_mul_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
div_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
@@ -12209,22 +12250,22 @@ div_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
if (is_minf<From1_Policy>(x)) {
if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y)))
+ || is_pinf<From2_Policy>(y)))
goto inf_div_inf;
else {
switch (sgn<From2_Policy>(y)) {
case VR_LT:
- goto pinf;
+ goto pinf;
case VR_GT:
- goto minf;
+ goto minf;
default:
- goto div_zero;
+ goto div_zero;
}
}
}
else if (is_pinf<From1_Policy>(x)) {
if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y))) {
+ || is_pinf<From2_Policy>(y))) {
inf_div_inf:
return assign_nan<To_Policy>(to, V_INF_DIV_INF);
}
@@ -12232,14 +12273,14 @@ div_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
switch (sgn<From2_Policy>(y)) {
case VR_LT:
minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
case VR_GT:
pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
default:
div_zero:
- PPL_ASSERT(To_Policy::check_div_zero);
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ PPL_ASSERT(To_Policy::check_div_zero);
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
}
}
}
@@ -12257,7 +12298,7 @@ div_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
idiv_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
@@ -12266,22 +12307,22 @@ idiv_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
if (is_minf<From1_Policy>(x)) {
if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y)))
+ || is_pinf<From2_Policy>(y)))
goto inf_div_inf;
else {
switch (sgn<From2_Policy>(y)) {
case VR_LT:
- goto pinf;
+ goto pinf;
case VR_GT:
- goto minf;
+ goto minf;
default:
- goto div_zero;
+ goto div_zero;
}
}
}
else if (is_pinf<From1_Policy>(x)) {
if (CHECK_P(To_Policy::check_inf_div_inf, is_minf<From2_Policy>(y)
- || is_pinf<From2_Policy>(y))) {
+ || is_pinf<From2_Policy>(y))) {
inf_div_inf:
return assign_nan<To_Policy>(to, V_INF_DIV_INF);
}
@@ -12289,14 +12330,14 @@ idiv_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
switch (sgn<From2_Policy>(y)) {
case VR_LT:
minf:
- return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_MINUS_INFINITY, dir);
case VR_GT:
pinf:
- return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
+ return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
default:
div_zero:
- PPL_ASSERT(To_Policy::check_div_zero);
- return assign_nan<To_Policy>(to, V_DIV_ZERO);
+ PPL_ASSERT(To_Policy::check_div_zero);
+ return assign_nan<To_Policy>(to, V_DIV_ZERO);
}
}
}
@@ -12314,7 +12355,7 @@ idiv_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
rem_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (!ext_to_handle<From1_Policy>(x) && !ext_to_handle<From2_Policy>(y))
@@ -12322,7 +12363,7 @@ rem_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From1_Policy>(x)
- || is_pinf<From1_Policy>(x))) {
+ || is_pinf<From1_Policy>(x))) {
return assign_nan<To_Policy>(to, V_INF_MOD);
}
else {
@@ -12338,7 +12379,7 @@ rem_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
add_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12356,7 +12397,7 @@ add_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
sub_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12374,7 +12415,7 @@ sub_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
mul_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12392,7 +12433,7 @@ mul_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
div_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12410,7 +12451,7 @@ div_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
smod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12418,7 +12459,7 @@ smod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (is_nan<From_Policy>(x))
return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From_Policy>(x)
- || is_pinf<From_Policy>(x))) {
+ || is_pinf<From_Policy>(x))) {
return assign_nan<To_Policy>(to, V_INF_MOD);
}
else {
@@ -12428,7 +12469,7 @@ smod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
umod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12436,7 +12477,7 @@ umod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
if (is_nan<From_Policy>(x))
return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
else if (CHECK_P(To_Policy::check_inf_mod, is_minf<From_Policy>(x)
- || is_pinf<From_Policy>(x))) {
+ || is_pinf<From_Policy>(x))) {
return assign_nan<To_Policy>(to, V_INF_MOD);
}
else {
@@ -12446,7 +12487,7 @@ umod_2exp_ext(To& to, const From& x, unsigned int exp, Rounding_Dir dir) {
}
template <typename To_Policy, typename From_Policy,
- typename To, typename From>
+ typename To, typename From>
inline Result
sqrt_ext(To& to, const From& x, Rounding_Dir dir) {
if (!ext_to_handle<From_Policy>(x))
@@ -12465,7 +12506,7 @@ sqrt_ext(To& to, const From& x, Rounding_Dir dir) {
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
gcd_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
@@ -12479,12 +12520,12 @@ gcd_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
}
template <typename To1_Policy, typename To2_Policy, typename To3_Policy,
- typename From1_Policy, typename From2_Policy,
- typename To1, typename To2, typename To3,
- typename From1, typename From2>
+ typename From1_Policy, typename From2_Policy,
+ typename To1, typename To2, typename To3,
+ typename From1, typename From2>
inline Result
gcdext_ext(To1& to, To2& s, To3& t, const From1& x, const From2& y,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
return assign_special<To1_Policy>(to, VC_NAN, ROUND_IGNORE);
else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x)) {
@@ -12502,20 +12543,20 @@ gcdext_ext(To1& to, To2& s, To3& t, const From1& x, const From2& y,
}
template <typename To_Policy, typename From1_Policy, typename From2_Policy,
- typename To, typename From1, typename From2>
+ typename To, typename From1, typename From2>
inline Result
lcm_ext(To& to, const From1& x, const From2& y, Rounding_Dir dir) {
if (is_nan<From1_Policy>(x) || is_nan<From2_Policy>(y))
return assign_special<To_Policy>(to, VC_NAN, ROUND_IGNORE);
else if (is_minf<From1_Policy>(x) || is_pinf<From1_Policy>(x)
- || is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y))
+ || is_minf<From2_Policy>(y) || is_pinf<From2_Policy>(y))
return assign_special<To_Policy>(to, VC_PLUS_INFINITY, dir);
else
return lcm<To_Policy, From1_Policy, From2_Policy>(to, x, y, dir);
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline Result_Relation
cmp_ext(const Type1& x, const Type2& y) {
if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
@@ -12537,7 +12578,7 @@ cmp_ext(const Type1& x, const Type2& y) {
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
lt_ext(const Type1& x, const Type2& y) {
if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
@@ -12553,14 +12594,14 @@ lt_ext(const Type1& x, const Type2& y) {
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
gt_ext(const Type1& x, const Type2& y) {
return lt_ext<Policy1, Policy2>(y, x);
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
le_ext(const Type1& x, const Type2& y) {
if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
@@ -12576,14 +12617,14 @@ le_ext(const Type1& x, const Type2& y) {
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
ge_ext(const Type1& x, const Type2& y) {
return le_ext<Policy1, Policy2>(y, x);
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
eq_ext(const Type1& x, const Type2& y) {
if (!ext_to_handle<Policy1>(x) && !ext_to_handle<Policy2>(y))
@@ -12601,7 +12642,7 @@ eq_ext(const Type1& x, const Type2& y) {
}
template <typename Policy1, typename Policy2,
- typename Type1, typename Type2>
+ typename Type1, typename Type2>
inline bool
ne_ext(const Type1& x, const Type2& y) {
return !eq_ext<Policy1, Policy2>(x, y);
@@ -12610,7 +12651,7 @@ ne_ext(const Type1& x, const Type2& y) {
template <typename Policy, typename Type>
inline Result
output_ext(std::ostream& os, const Type& x,
- const Numeric_Format& format, Rounding_Dir dir) {
+ const Numeric_Format& format, Rounding_Dir dir) {
if (!ext_to_handle<Policy>(x))
goto native;
if (is_nan<Policy>(x)) {
@@ -12639,7 +12680,7 @@ input_ext(To& to, std::istream& is, Rounding_Dir dir) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/checked.defs.hh line 706. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_defs.hh line 706. */
#undef nonconst
#ifdef PPL_SAVED_nonconst
@@ -12650,7 +12691,7 @@ input_ext(To& to, std::istream& is, Rounding_Dir dir) {
#undef PPL_FUNCTION_CLASS
#undef PPL_NAN
-/* Automatically generated from PPL source file ../src/Checked_Number.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_defs.hh line 31. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -12978,7 +13019,7 @@ public:
//! Add and assign operator.
template <typename From>
typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
+ Checked_Number<T, Policy>&>::type
operator+=(const From& y);
//! Subtract and assign operator.
@@ -12991,7 +13032,7 @@ public:
//! Subtract and assign operator.
template <typename From>
typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
+ Checked_Number<T, Policy>&>::type
operator-=(const From& y);
//! Multiply and assign operator.
@@ -13004,7 +13045,7 @@ public:
//! Multiply and assign operator.
template <typename From>
typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
+ Checked_Number<T, Policy>&>::type
operator*=(const From& y);
//! Divide and assign operator.
@@ -13017,7 +13058,7 @@ public:
//! Divide and assign operator.
template <typename From>
typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>&>::type
+ Checked_Number<T, Policy>&>::type
operator/=(const From& y);
//! Compute remainder and assign operator.
@@ -13030,7 +13071,7 @@ public:
//! Compute remainder and assign operator.
template <typename From>
typename Enable_If<Is_Native_Or_Checked<From>::value,
- Checked_Number<T, Policy>& >::type
+ Checked_Number<T, Policy>& >::type
operator%=(const From& y);
//@} // Assignment Operators
@@ -13165,12 +13206,12 @@ PPL_DECLARE_FUNC2(sub_mul_assign_r)
#define PPL_DECLARE_FUNC4(name) \
template <typename To1, typename To2, typename To3, \
- typename From1, typename From2> \
+ typename From1, typename From2> \
typename Enable_If<Is_Native_Or_Checked<To1>::value \
&& Is_Native_Or_Checked<To2>::value \
&& Is_Native_Or_Checked<To3>::value \
&& Is_Native_Or_Checked<From1>::value \
- && Is_Native_Or_Checked<From2>::value, \
+ && Is_Native_Or_Checked<From2>::value, \
Result>::type \
PPL_U(name)(To1& to, To2& s, To3& t, \
const From1& x, const From2& y, \
@@ -13282,24 +13323,24 @@ abs_assign(Checked_Number<T, Policy>& x, const Checked_Number<T, Policy>& y);
template <typename T, typename Policy>
void
add_mul_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
//! Assigns to \p x the value <CODE>x - y * z</CODE>.
/*! \relates Checked_Number */
template <typename T, typename Policy>
void
sub_mul_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
//! Assigns to \p x the greatest common divisor of \p y and \p z.
/*! \relates Checked_Number */
template <typename T, typename Policy>
void
gcd_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
/*! \brief
Assigns to \p x the greatest common divisor of \p y and \p z,
@@ -13309,18 +13350,18 @@ gcd_assign(Checked_Number<T, Policy>& x,
template <typename T, typename Policy>
void
gcdext_assign(Checked_Number<T, Policy>& x,
- Checked_Number<T, Policy>& s,
- Checked_Number<T, Policy>& t,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
+ Checked_Number<T, Policy>& s,
+ Checked_Number<T, Policy>& t,
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
//! Assigns to \p x the least common multiple of \p y and \p z.
/*! \relates Checked_Number */
template <typename T, typename Policy>
void
lcm_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
//! Assigns to \p x the value \f$ y \cdot 2^\mathtt{exp} \f$.
/*! \relates Checked_Number */
@@ -13348,14 +13389,14 @@ div_2exp_assign(Checked_Number<T, Policy>& x,
template <typename T, typename Policy>
void
exact_div_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z);
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z);
//! Assigns to \p x the integer square root of \p y.
/*! \relates Checked_Number */
template <typename T, typename Policy>
void sqrt_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y);
+ const Checked_Number<T, Policy>& y);
//@} // Arithmetic Operators
@@ -13370,14 +13411,14 @@ inline
typename Enable_If<Is_Native_Or_Checked<T1>::value
&& Is_Native_Or_Checked<T2>::value
&& (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
+ bool>::type
operator==(const T1& x, const T2& y);
/*! \relates Checked_Number */
template <typename T1, typename T2>
inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
equal(const T1& x, const T2& y);
//! Disequality operator.
@@ -13387,14 +13428,14 @@ inline
typename Enable_If<Is_Native_Or_Checked<T1>::value
&& Is_Native_Or_Checked<T2>::value
&& (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
+ bool>::type
operator!=(const T1& x, const T2& y);
/*! \relates Checked_Number */
template <typename T1, typename T2>
inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
not_equal(const T1& x, const T2& y);
//! Greater than or equal to operator.
@@ -13404,14 +13445,14 @@ inline
typename Enable_If<Is_Native_Or_Checked<T1>::value
&& Is_Native_Or_Checked<T2>::value
&& (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
+ bool>::type
operator>=(const T1& x, const T2& y);
/*! \relates Checked_Number */
template <typename T1, typename T2>
inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
greater_or_equal(const T1& x, const T2& y);
//! Greater than operator.
@@ -13421,14 +13462,14 @@ inline
typename Enable_If<Is_Native_Or_Checked<T1>::value
&& Is_Native_Or_Checked<T2>::value
&& (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
+ bool>::type
operator>(const T1& x, const T2& y);
/*! \relates Checked_Number */
template <typename T1, typename T2>
inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
greater_than(const T1& x, const T2& y);
//! Less than or equal to operator.
@@ -13438,14 +13479,14 @@ inline
typename Enable_If<Is_Native_Or_Checked<T1>::value
&& Is_Native_Or_Checked<T2>::value
&& (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
+ bool>::type
operator<=(const T1& x, const T2& y);
/*! \relates Checked_Number */
template <typename T1, typename T2>
inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
less_or_equal(const T1& x, const T2& y);
//! Less than operator.
@@ -13455,14 +13496,14 @@ inline
typename Enable_If<Is_Native_Or_Checked<T1>::value
&& Is_Native_Or_Checked<T2>::value
&& (Is_Checked<T1>::value || Is_Checked<T2>::value),
- bool>::type
+ bool>::type
operator<(const T1& x, const T2& y);
/*! \relates Checked_Number */
template <typename T1, typename T2>
inline typename Enable_If<Is_Native_Or_Checked<T1>::value
- && Is_Native_Or_Checked<T2>::value,
- bool>::type
+ && Is_Native_Or_Checked<T2>::value,
+ bool>::type
less_than(const T1& x, const T2& y);
/*! \brief
@@ -13597,44 +13638,44 @@ ascii_dump(std::ostream& s, const T& t);
(if such a delimiter is desired, it has to be written as <CODE>*^</CODE>).
\code
-number : NAN INF : 'inf'
- | SIGN INF ;
- | INF
- | num NAN : 'nan'
- | num DIV num ;
- ;
- SIGN : '-'
-num : u_num | '+'
- | SIGN u_num ;
-
-u_num : u_num1 EXP : 'e'
- | HEX u_num1 | 'p'
- | base BASE u_num1 | '*^'
- ; ;
- POINT : '.'
-u_num1 : mantissa ;
- | mantissa EXP exponent
- ; DIV : '/'
- ;
+number : NAN INF : 'inf'
+ | SIGN INF ;
+ | INF
+ | num NAN : 'nan'
+ | num DIV num ;
+ ;
+ SIGN : '-'
+num : u_num | '+'
+ | SIGN u_num ;
+
+u_num : u_num1 EXP : 'e'
+ | HEX u_num1 | 'p'
+ | base BASE u_num1 | '*^'
+ ; ;
+ POINT : '.'
+u_num1 : mantissa ;
+ | mantissa EXP exponent
+ ; DIV : '/'
+ ;
mantissa: bdigits
- | POINT bdigits MINUS : '-'
- | bdigits POINT ;
- | bdigits POINT bdigits
- ; PLUS : '+'
- ;
+ | POINT bdigits MINUS : '-'
+ | bdigits POINT ;
+ | bdigits POINT bdigits
+ ; PLUS : '+'
+ ;
exponent: SIGN digits
- | digits HEX : '0x'
- ; ;
-
-bdigits : BDIGIT BASE : '^^'
- | bdigits BDIGIT ;
- ;
- DIGIT : '0' .. '9'
-digits : DIGIT ;
- | digits DIGIT
- ; BDIGIT : '0' .. '9'
- | 'a' .. 'z'
- ;
+ | digits HEX : '0x'
+ ; ;
+
+bdigits : BDIGIT BASE : '^^'
+ | bdigits BDIGIT ;
+ ;
+ DIGIT : '0' .. '9'
+digits : DIGIT ;
+ | digits DIGIT
+ ; BDIGIT : '0' .. '9'
+ | 'a' .. 'z'
+ ;
\endcode
*/
template <typename T>
@@ -13685,12 +13726,12 @@ int maybe_check_fpu_inexact();
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Checked_Number.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_inlines.hh line 1. */
/* Checked_Number class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Checked_Number.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_inlines.hh line 28. */
#include <stdexcept>
#include <sstream>
@@ -13751,14 +13792,14 @@ template <typename From, typename From_Policy>
inline
Checked_Number<T, Policy>
::Checked_Number(const Checked_Number<From, From_Policy>& y,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
// TODO: avoid default construction of value member.
Policy::handle_result(check_result(Checked::assign_ext<Policy, From_Policy>
- (v,
- y.raw_value(),
- rounding_dir(dir)),
- dir)
- );
+ (v,
+ y.raw_value(),
+ rounding_dir(dir)),
+ dir)
+ );
}
template <typename T, typename Policy>
@@ -13769,10 +13810,10 @@ Checked_Number<T, Policy>
// TODO: avoid default construction of value member.
Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
Policy::handle_result(check_result(Checked::assign_ext<Policy, From_Policy>
- (v,
- y.raw_value(),
- rounding_dir(dir)),
- dir));
+ (v,
+ y.raw_value(),
+ rounding_dir(dir)),
+ dir));
}
// TODO: avoid default construction of value member.
@@ -13780,21 +13821,21 @@ Checked_Number<T, Policy>
template <typename T, typename Policy> \
inline \
Checked_Number<T, Policy>::Checked_Number(const type y, Rounding_Dir dir) { \
- Policy::handle_result \
+ Policy::handle_result \
(check_result(Checked::assign_ext<Policy, \
Checked_Number_Transparent_Policy<PPL_U(type)> > \
- (v, y, rounding_dir(dir)), \
- dir)); \
-} \
-template <typename T, typename Policy> \
-inline \
-Checked_Number<T, Policy>::Checked_Number(const type y) { \
- Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR; \
- Policy::handle_result \
+ (v, y, rounding_dir(dir)), \
+ dir)); \
+} \
+template <typename T, typename Policy> \
+inline \
+Checked_Number<T, Policy>::Checked_Number(const type y) { \
+ Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR; \
+ Policy::handle_result \
(check_result(Checked::assign_ext<Policy, \
Checked_Number_Transparent_Policy<PPL_U(type)> > \
- (v, y, rounding_dir(dir)), \
- dir)); \
+ (v, y, rounding_dir(dir)), \
+ dir)); \
}
PPL_DEFINE_CTOR(char)
@@ -13828,9 +13869,9 @@ inline
Checked_Number<T, Policy>::Checked_Number(const char* y, Rounding_Dir dir) {
std::istringstream s(y);
Policy::handle_result(check_result(Checked::input<Policy>(v,
- s,
- rounding_dir(dir)),
- dir));
+ s,
+ rounding_dir(dir)),
+ dir));
}
template <typename T, typename Policy>
@@ -13839,9 +13880,9 @@ Checked_Number<T, Policy>::Checked_Number(const char* y) {
std::istringstream s(y);
Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
Policy::handle_result(check_result(Checked::input<Policy>(v,
- s,
- rounding_dir(dir)),
- dir));
+ s,
+ rounding_dir(dir)),
+ dir));
}
template <typename T, typename Policy>
@@ -13863,9 +13904,9 @@ inline
Checked_Number<T, Policy>::Checked_Number(const From&, typename Enable_If<Is_Special<From>::value, bool>::type) {
Rounding_Dir dir = Policy::ROUND_DEFAULT_CONSTRUCTOR;
Policy::handle_result(check_result(Checked::assign_special<Policy>(v,
- From::vclass,
- rounding_dir(dir)),
- dir));
+ From::vclass,
+ rounding_dir(dir)),
+ dir));
}
template <typename To, typename From>
@@ -13873,20 +13914,20 @@ inline typename Enable_If<Is_Native_Or_Checked<To>::value
&& Is_Special<From>::value, Result>::type
assign_r(To& to, const From&, Rounding_Dir dir) {
return check_result(Checked::assign_special<typename Native_Checked_To_Wrapper<To>
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
- From::vclass,
- rounding_dir(dir)),
- dir);
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
+ From::vclass,
+ rounding_dir(dir)),
+ dir);
}
template <typename To, typename From>
inline typename Enable_If<Is_Native_Or_Checked<To>::value && Is_Special<From>::value, Result>::type
construct(To& to, const From&, Rounding_Dir dir) {
return check_result(Checked::construct_special<typename Native_Checked_To_Wrapper<To>
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
- From::vclass,
- rounding_dir(dir)),
- dir);
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
+ From::vclass,
+ rounding_dir(dir)),
+ dir);
}
template <typename T>
@@ -14007,25 +14048,25 @@ inline typename Enable_If<Is_Native_Or_Checked<To>::value, Result>::type
assign_r(To& to, const char* x, Rounding_Dir dir) {
std::istringstream s(x);
return check_result(Checked::input<typename Native_Checked_To_Wrapper<To>
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
- s,
- rounding_dir(dir)),
- dir);
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to),
+ s,
+ rounding_dir(dir)),
+ dir);
}
#define PPL_DEFINE_FUNC1_A(name, func) \
-template <typename To, typename From> \
+template <typename To, typename From> \
inline typename Enable_If<Is_Native_Or_Checked<To>::value \
&& Is_Native_Or_Checked<From>::value, \
Result>::type \
PPL_U(name)(To& to, const From& x, Rounding_Dir dir) { \
- return \
- check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From> \
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
- Native_Checked_From_Wrapper<From>::raw_value(x), \
- rounding_dir(dir)), dir); \
+ return \
+ check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From> \
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
+ Native_Checked_From_Wrapper<From>::raw_value(x), \
+ rounding_dir(dir)), dir); \
}
PPL_DEFINE_FUNC1_A(construct, construct_ext)
@@ -14040,20 +14081,20 @@ PPL_DEFINE_FUNC1_A(sqrt_assign_r, sqrt_ext)
#undef PPL_DEFINE_FUNC1_A
#define PPL_DEFINE_FUNC1_B(name, func) \
-template <typename To, typename From> \
-inline typename Enable_If<Is_Native_Or_Checked<To>::value \
+template <typename To, typename From> \
+inline typename Enable_If<Is_Native_Or_Checked<To>::value \
&& Is_Native_Or_Checked<From>::value, \
- Result>::type \
+ Result>::type \
PPL_U(name)(To& to, const From& x, unsigned int exp, Rounding_Dir dir) { \
- return \
- check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From> \
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
- Native_Checked_From_Wrapper<From>::raw_value(x), \
- exp, \
- rounding_dir(dir)), \
- dir); \
+ return \
+ check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From> \
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
+ Native_Checked_From_Wrapper<From>::raw_value(x), \
+ exp, \
+ rounding_dir(dir)), \
+ dir); \
}
PPL_DEFINE_FUNC1_B(add_2exp_assign_r, add_2exp_ext)
@@ -14066,23 +14107,23 @@ PPL_DEFINE_FUNC1_B(umod_2exp_assign_r, umod_2exp_ext)
#undef PPL_DEFINE_FUNC1_B
#define PPL_DEFINE_FUNC2(name, func) \
-template <typename To, typename From1, typename From2> \
-inline typename Enable_If<Is_Native_Or_Checked<To>::value \
+template <typename To, typename From1, typename From2> \
+inline typename Enable_If<Is_Native_Or_Checked<To>::value \
&& Is_Native_Or_Checked<From1>::value \
&& Is_Native_Or_Checked<From2>::value, \
- Result>::type \
+ Result>::type \
PPL_U(name)(To& to, const From1& x, const From2& y, Rounding_Dir dir) { \
- return \
- check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From1> \
- ::Policy, \
- typename Native_Checked_From_Wrapper<From2> \
- ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
- Native_Checked_From_Wrapper<From1>::raw_value(x), \
- Native_Checked_From_Wrapper<From2>::raw_value(y), \
- rounding_dir(dir)), \
- dir); \
+ return \
+ check_result(Checked::func<typename Native_Checked_To_Wrapper<To> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From1> \
+ ::Policy, \
+ typename Native_Checked_From_Wrapper<From2> \
+ ::Policy>(Native_Checked_To_Wrapper<To>::raw_value(to), \
+ Native_Checked_From_Wrapper<From1>::raw_value(x), \
+ Native_Checked_From_Wrapper<From2>::raw_value(y), \
+ rounding_dir(dir)), \
+ dir); \
}
PPL_DEFINE_FUNC2(add_assign_r, add_ext)
@@ -14099,33 +14140,33 @@ PPL_DEFINE_FUNC2(sub_mul_assign_r, sub_mul_ext)
#undef PPL_DEFINE_FUNC2
#define PPL_DEFINE_FUNC4(name, func) \
-template <typename To1, \
- typename To2, \
- typename To3, \
- typename From1, \
- typename From2> \
-inline typename Enable_If<Is_Native_Or_Checked<To1>::value \
+template <typename To1, \
+ typename To2, \
+ typename To3, \
+ typename From1, \
+ typename From2> \
+inline typename Enable_If<Is_Native_Or_Checked<To1>::value \
&& Is_Native_Or_Checked<To2>::value \
&& Is_Native_Or_Checked<To3>::value \
&& Is_Native_Or_Checked<From1>::value \
&& Is_Native_Or_Checked<From2>::value, \
- Result>::type \
+ Result>::type \
PPL_U(name)(To1& to, To2& s, To3& t, const From1& x, const From2& y, \
- Rounding_Dir dir) { \
- return \
- check_result \
- (Checked::func<typename Native_Checked_To_Wrapper<To1>::Policy, \
- typename Native_Checked_To_Wrapper<To2>::Policy, \
- typename Native_Checked_To_Wrapper<To3>::Policy, \
- typename Native_Checked_From_Wrapper<From1>::Policy, \
- typename Native_Checked_From_Wrapper<From2>::Policy> \
- (Native_Checked_To_Wrapper<To1>::raw_value(to), \
- Native_Checked_To_Wrapper<To2>::raw_value(s), \
- Native_Checked_To_Wrapper<To3>::raw_value(t), \
- Native_Checked_From_Wrapper<From1>::raw_value(x), \
- Native_Checked_From_Wrapper<From2>::raw_value(y), \
- rounding_dir(dir)), \
- dir); \
+ Rounding_Dir dir) { \
+ return \
+ check_result \
+ (Checked::func<typename Native_Checked_To_Wrapper<To1>::Policy, \
+ typename Native_Checked_To_Wrapper<To2>::Policy, \
+ typename Native_Checked_To_Wrapper<To3>::Policy, \
+ typename Native_Checked_From_Wrapper<From1>::Policy, \
+ typename Native_Checked_From_Wrapper<From2>::Policy> \
+ (Native_Checked_To_Wrapper<To1>::raw_value(to), \
+ Native_Checked_To_Wrapper<To2>::raw_value(s), \
+ Native_Checked_To_Wrapper<To3>::raw_value(t), \
+ Native_Checked_From_Wrapper<From1>::raw_value(x), \
+ Native_Checked_From_Wrapper<From2>::raw_value(y), \
+ rounding_dir(dir)), \
+ dir); \
}
PPL_DEFINE_FUNC4(gcdext_assign_r, gcdext_ext)
@@ -14137,7 +14178,7 @@ template <typename T, typename Policy> \
inline Checked_Number<T, Policy>& \
Checked_Number<T, Policy>::f() { \
Policy::handle_result((fun)(*this, *this, T(1), \
- Policy::ROUND_DEFAULT_OPERATOR)); \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
return *this; \
} \
template <typename T, typename Policy> \
@@ -14145,7 +14186,7 @@ inline Checked_Number<T, Policy> \
Checked_Number<T, Policy>::f(int) {\
T r = v;\
Policy::handle_result((fun)(*this, *this, T(1), \
- Policy::ROUND_DEFAULT_OPERATOR)); \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
return r;\
}
@@ -14174,14 +14215,14 @@ template <typename From_Policy> \
inline Checked_Number<T, Policy>& \
Checked_Number<T, Policy>::f(const Checked_Number<T, From_Policy>& y) { \
Policy::handle_result((fun)(*this, *this, y, \
- Policy::ROUND_DEFAULT_OPERATOR)); \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
return *this; \
} \
template <typename T, typename Policy> \
inline Checked_Number<T, Policy>& \
Checked_Number<T, Policy>::f(const T& y) { \
Policy::handle_result((fun)(*this, *this, y, \
- Policy::ROUND_DEFAULT_OPERATOR)); \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
return *this; \
} \
template <typename T, typename Policy> \
@@ -14191,7 +14232,7 @@ inline typename Enable_If<Is_Native_Or_Checked<From>::value, \
Checked_Number<T, Policy>::f(const From& y) { \
Checked_Number<T, Policy> cy(y); \
Policy::handle_result((fun)(*this, *this, cy, \
- Policy::ROUND_DEFAULT_OPERATOR)); \
+ Policy::ROUND_DEFAULT_OPERATOR)); \
return *this; \
}
@@ -14212,7 +14253,7 @@ inline Checked_Number<T, Policy> \
Policy::handle_result((fun)(r, x, y, Policy::ROUND_DEFAULT_OPERATOR)); \
return r; \
} \
-template <typename Type, typename T, typename Policy> \
+template <typename Type, typename T, typename Policy> \
inline \
typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
PPL_U(f)(const Type& x, const Checked_Number<T, Policy>& y) { \
@@ -14220,7 +14261,7 @@ typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
Policy::handle_result((fun)(r, r, y, Policy::ROUND_DEFAULT_OPERATOR)); \
return r; \
} \
-template <typename T, typename Policy, typename Type> \
+template <typename T, typename Policy, typename Type> \
inline \
typename Enable_If<Is_Native<Type>::value, Checked_Number<T, Policy> >::type \
PPL_U(f)(const Checked_Number<T, Policy>& x, const Type& y) { \
@@ -14238,17 +14279,17 @@ PPL_DEFINE_BINARY_OP(operator %, rem_assign_r)
#undef PPL_DEFINE_BINARY_OP
#define PPL_DEFINE_COMPARE_OP(f, fun) \
-template <typename T1, typename T2> \
-inline \
+template <typename T1, typename T2> \
+inline \
typename Enable_If<Is_Native_Or_Checked<T1>::value \
&& Is_Native_Or_Checked<T2>::value \
- && (Is_Checked<T1>::value || Is_Checked<T2>::value), \
- bool>::type \
+ && (Is_Checked<T1>::value || Is_Checked<T2>::value), \
+ bool>::type \
PPL_U(f)(const T1& x, const T2& y) { \
- return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
- typename Native_Checked_From_Wrapper<T2>::Policy> \
- (Native_Checked_From_Wrapper<T1>::raw_value(x), \
- Native_Checked_From_Wrapper<T2>::raw_value(y)); \
+ return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
+ typename Native_Checked_From_Wrapper<T2>::Policy> \
+ (Native_Checked_From_Wrapper<T1>::raw_value(x), \
+ Native_Checked_From_Wrapper<T2>::raw_value(y)); \
}
PPL_DEFINE_COMPARE_OP(operator ==, eq_ext)
@@ -14261,15 +14302,15 @@ PPL_DEFINE_COMPARE_OP(operator <, lt_ext)
#undef PPL_DEFINE_COMPARE_OP
#define PPL_DEFINE_COMPARE(f, fun) \
-template <typename T1, typename T2> \
-inline typename Enable_If<Is_Native_Or_Checked<T1>::value \
- && Is_Native_Or_Checked<T2>::value, \
- bool>::type \
+template <typename T1, typename T2> \
+inline typename Enable_If<Is_Native_Or_Checked<T1>::value \
+ && Is_Native_Or_Checked<T2>::value, \
+ bool>::type \
PPL_U(f)(const T1& x, const T2& y) { \
- return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
- typename Native_Checked_From_Wrapper<T2>::Policy> \
- (Native_Checked_From_Wrapper<T1>::raw_value(x), \
- Native_Checked_From_Wrapper<T2>::raw_value(y)); \
+ return Checked::fun<typename Native_Checked_From_Wrapper<T1>::Policy, \
+ typename Native_Checked_From_Wrapper<T2>::Policy> \
+ (Native_Checked_From_Wrapper<T1>::raw_value(x), \
+ Native_Checked_From_Wrapper<T2>::raw_value(y)); \
}
PPL_DEFINE_COMPARE(equal, eq_ext)
@@ -14301,7 +14342,7 @@ operator-(const Checked_Number<T, Policy>& x) {
template <typename T, typename Policy> \
inline void \
PPL_U(f)(Checked_Number<T, Policy>& x) { \
- Policy::handle_result((fun)(x, x, Policy::ROUND_DEFAULT_FUNCTION)); \
+ Policy::handle_result((fun)(x, x, Policy::ROUND_DEFAULT_FUNCTION)); \
}
#define PPL_DEFINE_ASSIGN_FUN2_2(f, fun) \
@@ -14319,13 +14360,13 @@ inline void \
Policy::handle_result((fun)(x, y, z, Policy::ROUND_DEFAULT_FUNCTION)); \
}
-#define PPL_DEFINE_ASSIGN_FUN5_5(f, fun) \
-template <typename T, typename Policy> \
-inline void \
+#define PPL_DEFINE_ASSIGN_FUN5_5(f, fun) \
+template <typename T, typename Policy> \
+inline void \
PPL_U(f)(Checked_Number<T, Policy>& x, \
- Checked_Number<T, Policy>& s, Checked_Number<T, Policy>& t, \
- const Checked_Number<T, Policy>& y, \
- const Checked_Number<T, Policy>& z) { \
+ Checked_Number<T, Policy>& s, Checked_Number<T, Policy>& t, \
+ const Checked_Number<T, Policy>& y, \
+ const Checked_Number<T, Policy>& z) { \
Policy::handle_result((fun)(x, s, t, y, z, Policy::ROUND_DEFAULT_FUNCTION)); \
}
@@ -14364,9 +14405,9 @@ PPL_DEFINE_ASSIGN_FUN3_3(lcm_assign, lcm_assign_r)
#undef PPL_DEFINE_ASSIGN_FUN3_3
#undef PPL_DEFINE_ASSIGN_FUN5_5
-#define PPL_DEFINE_ASSIGN_2EXP(f, fun) \
+#define PPL_DEFINE_ASSIGN_2EXP(f, fun) \
template <typename T, typename Policy> \
-inline void \
+inline void \
PPL_U(f)(Checked_Number<T, Policy>& x, \
const Checked_Number<T, Policy>& y, unsigned int exp) { \
Policy::handle_result((fun)(x, y, exp, Policy::ROUND_DEFAULT_FUNCTION)); \
@@ -14378,8 +14419,8 @@ PPL_DEFINE_ASSIGN_2EXP(div_2exp_assign, div_2exp_assign_r)
template <typename T, typename Policy>
inline void
exact_div_assign(Checked_Number<T, Policy>& x,
- const Checked_Number<T, Policy>& y,
- const Checked_Number<T, Policy>& z) {
+ const Checked_Number<T, Policy>& y,
+ const Checked_Number<T, Policy>& z) {
Policy::handle_result(div_assign_r(x, y, z, ROUND_NOT_NEEDED));
}
@@ -14410,7 +14451,7 @@ cmp(const From1& x, const From2& y) {
= Checked::cmp_ext<typename Native_Checked_From_Wrapper<From1>::Policy,
typename Native_Checked_From_Wrapper<From2>::Policy>
(Native_Checked_From_Wrapper<From1>::raw_value(x),
- Native_Checked_From_Wrapper<From2>::raw_value(y));
+ Native_Checked_From_Wrapper<From2>::raw_value(y));
switch (r) {
case VR_LT:
return -1;
@@ -14429,11 +14470,11 @@ typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
output(std::ostream& os, const T& x,
const Numeric_Format& format, Rounding_Dir dir) {
return check_result(Checked::output_ext<typename Native_Checked_From_Wrapper<T>::Policy>
- (os,
- Native_Checked_From_Wrapper<T>::raw_value(x),
- format,
- rounding_dir(dir)),
- dir);
+ (os,
+ Native_Checked_From_Wrapper<T>::raw_value(x),
+ format,
+ rounding_dir(dir)),
+ dir);
}
/*! \relates Checked_Number */
@@ -14449,16 +14490,16 @@ template <typename T>
typename Enable_If<Is_Native_Or_Checked<T>::value, Result>::type
input(T& x, std::istream& is, Rounding_Dir dir) {
return check_result(Checked::input_ext<typename Native_Checked_To_Wrapper<T>::Policy>
- (Native_Checked_To_Wrapper<T>::raw_value(x),
- is,
- rounding_dir(dir)),
- dir);
+ (Native_Checked_To_Wrapper<T>::raw_value(x),
+ is,
+ rounding_dir(dir)),
+ dir);
}
/*! \relates Checked_Number */
template <typename T, typename Policy>
inline std::istream& operator>>(std::istream& is,
- Checked_Number<T, Policy>& x) {
+ Checked_Number<T, Policy>& x) {
Result r = input(x, is, Policy::ROUND_DEFAULT_INPUT);
if (r == V_CVT_STR_UNK)
is.setstate(std::ios::failbit);
@@ -14511,12 +14552,12 @@ maybe_check_fpu_inexact() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Checked_Number.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_templates.hh line 1. */
/* Checked_Number class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Checked_Number.templates.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_templates.hh line 28. */
#include <iomanip>
#include <limits>
@@ -14638,52 +14679,52 @@ ascii_load(std::istream& s, T& t) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Checked_Number.defs.hh line 1067. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Checked_Number_defs.hh line 1067. */
-/* Automatically generated from PPL source file ../src/checked_numeric_limits.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/checked_numeric_limits.hh line 29. */
#include <limits>
namespace std {
using namespace Parma_Polyhedra_Library;
-#define PPL_SPECIALIZE_LIMITS_INT(T) \
- /*! \brief Partial specialization of std::numeric_limits. */ \
- template <typename Policy> \
+#define PPL_SPECIALIZE_LIMITS_INT(T) \
+ /*! \brief Partial specialization of std::numeric_limits. */ \
+ template <typename Policy> \
class numeric_limits<Checked_Number<PPL_U(T), Policy> > \
: public numeric_limits<PPL_U(T)> { \
- private: \
+ private: \
typedef Checked_Number<PPL_U(T), Policy> Type; \
\
- public: \
- static const bool has_infinity = Policy::has_infinity; \
+ public: \
+ static const bool has_infinity = Policy::has_infinity; \
static const bool has_quiet_NaN = Policy::has_nan; \
\
- static Type min() { \
- Type v; \
+ static Type min() { \
+ Type v; \
v.raw_value() = Checked::Extended_Int<Policy, PPL_U(T)>::min; \
- return v; \
- } \
+ return v; \
+ } \
\
- static Type max() { \
- Type v; \
+ static Type max() { \
+ Type v; \
v.raw_value() = Checked::Extended_Int<Policy, PPL_U(T)>::max; \
- return v; \
- } \
- \
- static Type infinity() { \
- Type v; \
- Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY, \
+ return v; \
+ } \
+ \
+ static Type infinity() { \
+ Type v; \
+ Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY, \
ROUND_IGNORE); \
- return v; \
- } \
- \
- static Type quiet_NaN() { \
- Type v; \
- Checked::assign_special<Policy>(v.raw_value(), VC_NAN, \
+ return v; \
+ } \
+ \
+ static Type quiet_NaN() { \
+ Type v; \
+ Checked::assign_special<Policy>(v.raw_value(), VC_NAN, \
ROUND_IGNORE); \
- return v; \
- } \
+ return v; \
+ } \
};
PPL_SPECIALIZE_LIMITS_INT(char)
@@ -14702,9 +14743,9 @@ PPL_SPECIALIZE_LIMITS_INT(unsigned long long)
#undef PPL_SPECIALIZE_LIMITS_INT
-#define PPL_SPECIALIZE_LIMITS_FLOAT(T) \
- /*! \brief Partial specialization of std::numeric_limits. */ \
- template <typename Policy> \
+#define PPL_SPECIALIZE_LIMITS_FLOAT(T) \
+ /*! \brief Partial specialization of std::numeric_limits. */ \
+ template <typename Policy> \
struct numeric_limits<Checked_Number<PPL_U(T), Policy> > \
: public numeric_limits<PPL_U(T)> { \
};
@@ -14738,7 +14779,7 @@ public:
static Type infinity() {
Type v;
Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY,
- ROUND_IGNORE);
+ ROUND_IGNORE);
return v;
}
@@ -14766,7 +14807,7 @@ public:
static Type infinity() {
Type v;
Checked::assign_special<Policy>(v.raw_value(), VC_PLUS_INFINITY,
- ROUND_IGNORE);
+ ROUND_IGNORE);
return v;
}
@@ -14779,12 +14820,12 @@ public:
} // namespace std
-/* Automatically generated from PPL source file ../src/stdiobuf.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/stdiobuf_defs.hh line 1. */
/* stdiobuf class declaration.
*/
-/* Automatically generated from PPL source file ../src/stdiobuf.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/stdiobuf_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -14793,7 +14834,7 @@ class stdiobuf;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/stdiobuf.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/stdiobuf_defs.hh line 28. */
#include <cstdio>
#include <streambuf>
@@ -14875,7 +14916,7 @@ private:
int_type unget_char_buf;
};
-/* Automatically generated from PPL source file ../src/stdiobuf.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/stdiobuf_inlines.hh line 1. */
/* stdiobuf class implementation: inline functions.
*/
@@ -14889,14 +14930,14 @@ stdiobuf::stdiobuf(FILE* file)
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/stdiobuf.defs.hh line 110. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/stdiobuf_defs.hh line 110. */
-/* Automatically generated from PPL source file ../src/c_streambuf.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/c_streambuf_defs.hh line 1. */
/* c_streambuf class declaration.
*/
-/* Automatically generated from PPL source file ../src/c_streambuf.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/c_streambuf_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -14905,7 +14946,7 @@ class c_streambuf;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/c_streambuf.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/c_streambuf_defs.hh line 28. */
#include <streambuf>
#include <cstddef>
@@ -15003,7 +15044,7 @@ private:
}
};
-/* Automatically generated from PPL source file ../src/c_streambuf.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/c_streambuf_inlines.hh line 1. */
/* c_streambuf class implementation: inline functions.
*/
@@ -15021,29 +15062,29 @@ c_streambuf::~c_streambuf() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/c_streambuf.defs.hh line 126. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/c_streambuf_defs.hh line 126. */
-/* Automatically generated from PPL source file ../src/Integer_Interval.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Integer_Interval.hh line 1. */
/* Integer_Interval class declaration and implementation.
*/
-/* Automatically generated from PPL source file ../src/Interval.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_defs.hh line 1. */
/* Declarations for the Interval class and its constituents.
*/
-/* Automatically generated from PPL source file ../src/assign_or_swap.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/assign_or_swap.hh line 1. */
/* The assign_or_swap() utility functions.
*/
-/* Automatically generated from PPL source file ../src/Has_Assign_Or_Swap.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Has_Assign_Or_Swap.hh line 1. */
/* Has_Assign_Or_Swap classes declarations.
*/
-/* Automatically generated from PPL source file ../src/Has_Assign_Or_Swap.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Has_Assign_Or_Swap.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -15063,14 +15104,14 @@ struct Has_Assign_Or_Swap : public False {
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename T>
struct Has_Assign_Or_Swap<T,
- typename Enable_If_Is<void (T::*)(T& x),
- &T::assign_or_swap>::type>
+ typename Enable_If_Is<void (T::*)(T& x),
+ &T::assign_or_swap>::type>
: public True {
};
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/assign_or_swap.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/assign_or_swap.hh line 30. */
namespace Parma_Polyhedra_Library {
@@ -15112,15 +15153,15 @@ assign_or_swap(T& to, T& from) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/intervals.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/intervals_defs.hh line 1. */
/* Helper classes for intervals.
*/
-/* Automatically generated from PPL source file ../src/intervals.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/intervals_defs.hh line 28. */
#include <cstdlib>
-/* Automatically generated from PPL source file ../src/intervals.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/intervals_defs.hh line 31. */
namespace Parma_Polyhedra_Library {
@@ -15229,7 +15270,7 @@ class Val_Or_Ref;
template <typename T, typename Criteria>
class Val_Or_Ref<T, Criteria,
- typename Enable_If<!Use_By_Ref<Criteria, T>::value>::type> {
+ typename Enable_If<!Use_By_Ref<Criteria, T>::value>::type> {
T value;
public:
typedef T Arg_Type;
@@ -15257,7 +15298,7 @@ public:
template <typename T, typename Criteria>
class Val_Or_Ref<T, Criteria,
- typename Enable_If<Use_By_Ref<Criteria, T>::value>::type> {
+ typename Enable_If<Use_By_Ref<Criteria, T>::value>::type> {
const T* ptr;
public:
typedef T& Arg_Type;
@@ -15307,7 +15348,7 @@ public:
r = assign_r(to, c.value(), (ROUND_UP | ROUND_STRICT_RELATION));
r = result_relation_class(r);
if (r == V_EQ)
- return V_LE;
+ return V_LE;
goto lt;
case V_LT:
r = assign_r(to, c.value(), ROUND_UP);
@@ -15317,20 +15358,20 @@ public:
case V_EMPTY:
case V_LT_PLUS_INFINITY:
case V_EQ_MINUS_INFINITY:
- return r;
+ return r;
case V_LT:
case V_LE:
case V_EQ:
- return V_LT;
+ return V_LT;
default:
- break;
+ break;
}
break;
case V_GE:
r = assign_r(to, c.value(), (ROUND_DOWN | ROUND_STRICT_RELATION));
r = result_relation_class(r);
if (r == V_EQ)
- return V_GE;
+ return V_GE;
goto gt;
case V_GT:
r = assign_r(to, c.value(), ROUND_DOWN);
@@ -15340,13 +15381,13 @@ public:
case V_EMPTY:
case V_GT_MINUS_INFINITY:
case V_EQ_PLUS_INFINITY:
- return r;
+ return r;
case V_LT:
case V_LE:
case V_EQ:
- return V_GT;
+ return V_GT;
default:
- break;
+ break;
}
break;
case V_EQ:
@@ -15354,16 +15395,16 @@ public:
r = result_relation_class(r);
PPL_ASSERT(r != V_LT && r != V_GT);
if (r == V_EQ)
- return V_EQ;
+ return V_EQ;
else
- return V_EMPTY;
+ return V_EMPTY;
case V_NE:
r = assign_r(to, c.value(), ROUND_CHECK);
r = result_relation_class(r);
if (r == V_EQ)
- return V_NE;
+ return V_NE;
else
- return V_LGE;
+ return V_LGE;
default:
break;
}
@@ -15401,8 +15442,8 @@ public:
case V_GE:
if (rel2 == V_LE && to1 == to2) {
eq:
- rel2 = V_EQ;
- return V_LGE;
+ rel2 = V_EQ;
+ return V_LGE;
}
/* Fall through*/
case V_GT:
@@ -15428,9 +15469,9 @@ public:
switch (rel) {
case V_LT:
if (is_integer(to)) {
- rel = sub_assign_r(to, to, T(1), (ROUND_UP | ROUND_STRICT_RELATION));
- rel = result_relation_class(rel);
- return (rel == V_EQ) ? V_LE : rel;
+ rel = sub_assign_r(to, to, T(1), (ROUND_UP | ROUND_STRICT_RELATION));
+ rel = result_relation_class(rel);
+ return (rel == V_EQ) ? V_LE : rel;
}
/* Fall through */
case V_LE:
@@ -15440,9 +15481,9 @@ public:
return V_LE;
case V_GT:
if (is_integer(to)) {
- rel = add_assign_r(to, to, T(1), (ROUND_DOWN | ROUND_STRICT_RELATION));
- rel = result_relation_class(rel);
- return (rel == V_EQ) ? V_GE : rel;
+ rel = add_assign_r(to, to, T(1), (ROUND_DOWN | ROUND_STRICT_RELATION));
+ rel = result_relation_class(rel);
+ return (rel == V_EQ) ? V_GE : rel;
}
/* Fall through */
case V_GE:
@@ -15452,11 +15493,11 @@ public:
return V_GE;
case V_EQ:
if (is_integer(to))
- return V_EQ;
+ return V_EQ;
return V_EMPTY;
case V_NE:
if (is_integer(to))
- return V_NE;
+ return V_NE;
return V_LGE;
default:
return rel;
@@ -15479,7 +15520,7 @@ struct I_Constraint_Rel {
};
template <typename T, typename Val_Or_Ref_Criteria = Use_Slow_Copy,
- bool extended = false>
+ bool extended = false>
class I_Constraint
: public I_Constraint_Common<I_Constraint<T, Val_Or_Ref_Criteria,
extended> > {
@@ -15563,7 +15604,7 @@ i_constraint(I_Constraint_Rel rel, T& v, const Val_Or_Ref_Criteria&) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -15573,17 +15614,17 @@ class Interval;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval_Info.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_Info_defs.hh line 1. */
/* Interval_Info class declaration and implementation.
*/
-/* Automatically generated from PPL source file ../src/Boundary.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Boundary_defs.hh line 1. */
/* Interval boundary functions.
*/
-/* Automatically generated from PPL source file ../src/Boundary.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Boundary_defs.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -15675,11 +15716,6 @@ set_unbounded(Boundary_Type type, T& x, Info& info) {
template <typename T, typename Info>
inline Result
set_minus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
- /*
- PPL_COMPILE_TIME_CHECK(Info::store_special
- || std::numeric_limits<T>::has_infinity,
- "minus infinity is not representable");
- */
if (open) {
PPL_ASSERT(type == LOWER);
}
@@ -15703,11 +15739,6 @@ set_minus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
template <typename T, typename Info>
inline Result
set_plus_infinity(Boundary_Type type, T& x, Info& info, bool open = false) {
- /*
- PPL_COMPILE_TIME_CHECK(Info::store_special
- || std::numeric_limits<T>::has_infinity,
- "minus infinity is not representable");
- */
if (open) {
PPL_ASSERT(type == UPPER);
}
@@ -15887,11 +15918,11 @@ eq(Boundary_Type type1, const T1& x1, const Info1& info1,
Boundary_Type type2, const T2& x2, const Info2& info2) {
if (type1 == type2) {
if (is_open(type1, x1, info1)
- != is_open(type2, x2, info2))
+ != is_open(type2, x2, info2))
return false;
}
else if (is_open(type1, x1, info1)
- || is_open(type2, x2, info2))
+ || is_open(type2, x2, info2))
return false;
if (is_minus_infinity(type1, x1, info1))
return is_minus_infinity(type2, x2, info2);
@@ -15910,18 +15941,18 @@ lt(Boundary_Type type1, const T1& x1, const Info1& info1,
Boundary_Type type2, const T2& x2, const Info2& info2) {
if (is_open(type1, x1, info1)) {
if (type1 == UPPER
- && (type2 == LOWER
- || !is_open(type2, x2, info2)))
+ && (type2 == LOWER
+ || !is_open(type2, x2, info2)))
goto le;
}
else if (type2 == LOWER
- && is_open(type2, x2, info2)) {
+ && is_open(type2, x2, info2)) {
le:
if (is_minus_infinity(type1, x1, info1)
- || is_plus_infinity(type2, x2, info2))
+ || is_plus_infinity(type2, x2, info2))
return true;
if (is_plus_infinity(type1, x1, info1)
- || is_minus_infinity(type2, x2, info2))
+ || is_minus_infinity(type2, x2, info2))
return false;
else
return less_or_equal(x1, x2);
@@ -15960,7 +15991,7 @@ ge(Boundary_Type type1, const T1& x1, const Info1& info1,
template <typename T, typename Info>
inline Result
adjust_boundary(Boundary_Type type, T& x, Info& info,
- bool open, Result r) {
+ bool open, Result r) {
r = result_relation_class(r);
if (type == LOWER) {
switch (r) {
@@ -15969,9 +16000,9 @@ adjust_boundary(Boundary_Type type, T& x, Info& info,
/* Fall through */
case V_EQ_MINUS_INFINITY:
if (!Info::store_special)
- return r;
+ return r;
if (open)
- info.set_boundary_property(type, OPEN);
+ info.set_boundary_property(type, OPEN);
return special_set_boundary_infinity(type, x, info);
case V_GT:
open = true;
@@ -15993,9 +16024,9 @@ adjust_boundary(Boundary_Type type, T& x, Info& info,
/* Fall through */
case V_EQ_PLUS_INFINITY:
if (!Info::store_special)
- return r;
+ return r;
if (open)
- info.set_boundary_property(type, OPEN);
+ info.set_boundary_property(type, OPEN);
return special_set_boundary_infinity(type, x, info);
case V_LT:
open = true;
@@ -16015,7 +16046,7 @@ adjust_boundary(Boundary_Type type, T& x, Info& info,
template <typename To, typename To_Info, typename T, typename Info>
inline Result
complement(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
+ Boundary_Type type, const T& x, const Info& info) {
PPL_ASSERT(to_type != type);
bool should_shrink;
if (info.get_boundary_property(type, SPECIAL)) {
@@ -16042,15 +16073,16 @@ assign(Boundary_Type to_type, To& to, To_Info& to_info,
return set_boundary_infinity(to_type, to, to_info, should_shrink);
}
should_shrink = (should_shrink || normal_is_open(type, x, info));
- bool check = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
- Result r = assign_r(to, x, round_dir_check(to_type, check));
+ const bool check
+ = (To_Info::check_inexact || (!should_shrink && To_Info::store_open));
+ const Result r = assign_r(to, x, round_dir_check(to_type, check));
return adjust_boundary(to_type, to, to_info, should_shrink, r);
}
template <typename To, typename To_Info, typename T, typename Info>
inline Result
min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
+ Boundary_Type type, const T& x, const Info& info) {
if (lt(type, x, info, to_type, to, to_info)) {
to_info.clear_boundary_properties(to_type);
return assign(to_type, to, to_info, type, x, info);
@@ -16061,8 +16093,8 @@ min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
if (lt(type1, x1, info1, type2, x2, info2))
return assign(to_type, to, to_info, type1, x1, info1);
else
@@ -16072,7 +16104,7 @@ min_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T, typename Info>
inline Result
max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
+ Boundary_Type type, const T& x, const Info& info) {
if (gt(type, x, info, to_type, to, to_info)) {
to_info.clear_boundary_properties(to_type);
return assign(to_type, to, to_info, type, x, info);
@@ -16083,8 +16115,8 @@ max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
if (gt(type1, x1, info1, type2, x2, info2))
return assign(to_type, to, to_info, type1, x1, info1);
else
@@ -16094,7 +16126,7 @@ max_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T, typename Info>
inline Result
neg_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info) {
+ Boundary_Type type, const T& x, const Info& info) {
PPL_ASSERT(to_type != type);
bool should_shrink;
if (info.get_boundary_property(type, SPECIAL)) {
@@ -16110,8 +16142,8 @@ neg_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
add_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
PPL_ASSERT(type1 == type2);
bool should_shrink;
if (is_boundary_infinity(type1, x1, info1)) {
@@ -16135,8 +16167,8 @@ add_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
sub_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
PPL_ASSERT(type1 != type2);
bool should_shrink;
if (is_boundary_infinity(type1, x1, info1)) {
@@ -16160,8 +16192,8 @@ sub_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
mul_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
bool should_shrink;
if (is_boundary_infinity(type1, x1, info1)) {
should_shrink = (boundary_infinity_is_open(type1, info1)
@@ -16193,14 +16225,14 @@ set_zero(Boundary_Type to_type, To& to, To_Info& to_info, bool should_shrink) {
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
mul_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
- Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
+ Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
+ Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
bool should_shrink;
if (x1s != 0) {
if (x2s != 0)
return mul_assign(to_type, to, to_info,
- type1, x1, info1,
- type2, x2, info2);
+ type1, x1, info1,
+ type2, x2, info2);
else
should_shrink = info2.get_boundary_property(type2, OPEN);
}
@@ -16214,8 +16246,8 @@ mul_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
div_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1,
- Boundary_Type type2, const T2& x2, const Info2& info2) {
+ Boundary_Type type1, const T1& x1, const Info1& info1,
+ Boundary_Type type2, const T2& x2, const Info2& info2) {
bool should_shrink;
if (is_boundary_infinity(type1, x1, info1)) {
should_shrink = boundary_infinity_is_open(type1, info1);
@@ -16238,13 +16270,13 @@ div_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T1, typename Info1, typename T2, typename Info2>
inline Result
div_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
- Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
+ Boundary_Type type1, const T1& x1, const Info1& info1, int x1s,
+ Boundary_Type type2, const T2& x2, const Info2& info2, int x2s) {
if (x1s != 0) {
if (x2s != 0)
return div_assign(to_type, to, to_info,
- type1, x1, info1,
- type2, x2, info2);
+ type1, x1, info1,
+ type2, x2, info2);
else {
return set_boundary_infinity(to_type, to, to_info, true);
}
@@ -16259,8 +16291,8 @@ div_assign_z(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T, typename Info>
inline Result
umod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info,
- unsigned int exp) {
+ Boundary_Type type, const T& x, const Info& info,
+ unsigned int exp) {
PPL_ASSERT(to_type == type);
bool should_shrink;
if (is_boundary_infinity(type, x, info)) {
@@ -16276,8 +16308,8 @@ umod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
template <typename To, typename To_Info, typename T, typename Info>
inline Result
smod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
- Boundary_Type type, const T& x, const Info& info,
- unsigned int exp) {
+ Boundary_Type type, const T& x, const Info& info,
+ unsigned int exp) {
PPL_ASSERT(to_type == type);
bool should_shrink;
if (is_boundary_infinity(type, x, info)) {
@@ -16294,7 +16326,7 @@ smod_2exp_assign(Boundary_Type to_type, To& to, To_Info& to_info,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval_Info.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_Info_defs.hh line 28. */
#include <iostream>
@@ -16468,18 +16500,18 @@ public:
switch (p.type) {
case Boundary_NS::Property::SPECIAL_:
if (store_special) {
- if (t == LOWER)
- set_bit(bitset, lower_special_bit, value);
- else
- set_bit(bitset, upper_special_bit, value);
+ if (t == LOWER)
+ set_bit(bitset, lower_special_bit, value);
+ else
+ set_bit(bitset, upper_special_bit, value);
}
break;
case Boundary_NS::Property::OPEN_:
if (store_open) {
- if (t == LOWER)
- set_bit(bitset, lower_open_bit, value);
- else
- set_bit(bitset, upper_open_bit, value);
+ if (t == LOWER)
+ set_bit(bitset, lower_open_bit, value);
+ else
+ set_bit(bitset, upper_open_bit, value);
}
break;
default:
@@ -16490,18 +16522,18 @@ public:
switch (p.type) {
case Boundary_NS::Property::SPECIAL_:
if (!store_special)
- return false;
+ return false;
if (t == LOWER)
- return get_bit(bitset, lower_special_bit);
+ return get_bit(bitset, lower_special_bit);
else
- return get_bit(bitset, upper_special_bit);
+ return get_bit(bitset, upper_special_bit);
case Boundary_NS::Property::OPEN_:
if (!store_open)
- return false;
+ return false;
else if (t == LOWER)
- return get_bit(bitset, lower_open_bit);
+ return get_bit(bitset, lower_open_bit);
else
- return get_bit(bitset, upper_open_bit);
+ return get_bit(bitset, upper_open_bit);
default:
return false;
}
@@ -16510,15 +16542,15 @@ public:
switch (p.type) {
case Interval_NS::Property::CARDINALITY_0_:
if (cache_empty)
- set_bit(bitset, cardinality_0_bit, value);
+ set_bit(bitset, cardinality_0_bit, value);
break;
case Interval_NS::Property::CARDINALITY_1_:
if (cache_singleton)
- set_bit(bitset, cardinality_1_bit, value);
+ set_bit(bitset, cardinality_1_bit, value);
break;
case Interval_NS::Property::CARDINALITY_IS_:
if (cache_empty || cache_singleton)
- set_bit(bitset, cardinality_is_bit, value);
+ set_bit(bitset, cardinality_is_bit, value);
break;
default:
break;
@@ -16550,7 +16582,7 @@ protected:
}
-/* Automatically generated from PPL source file ../src/Interval_Info.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_Info_inlines.hh line 1. */
/* Interval_Info class implementation: inline functions.
*/
@@ -16644,9 +16676,9 @@ swap(Interval_Info_Bitset<T, Policy>& x, Interval_Info_Bitset<T, Policy>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval_Info.defs.hh line 284. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_Info_defs.hh line 284. */
-/* Automatically generated from PPL source file ../src/Interval.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_defs.hh line 33. */
#include <iosfwd>
// Temporary!
@@ -16658,7 +16690,8 @@ enum Ternary { T_YES, T_NO, T_MAYBE };
inline I_Result
combine(Result l, Result u) {
- unsigned res = static_cast<unsigned>(l) | (static_cast<unsigned>(u) << 6);
+ const unsigned res
+ = static_cast<unsigned>(l) | (static_cast<unsigned>(u) << 6);
return static_cast<I_Result>(res);
}
@@ -16890,7 +16923,7 @@ public:
template <typename C1, typename C2>
typename Enable_If<Is_Same_Or_Derived<I_Constraint_Base, C1>::value
&&
- Is_Same_Or_Derived<I_Constraint_Base, C2>::value,
+ Is_Same_Or_Derived<I_Constraint_Base, C2>::value,
I_Result>::type
build(const C1& c1, const C2& c2) {
switch (c1.rel()) {
@@ -16910,7 +16943,7 @@ public:
break;
}
build(c1);
- I_Result r = add_constraint(c2);
+ const I_Result r = add_constraint(c2);
return r - (I_CHANGED | I_UNCHANGED);
}
@@ -16949,7 +16982,8 @@ public:
typename Enable_If<Is_Special<From>::value, I_Result>::type
assign(const From&) {
info().clear();
- Result rl, ru;
+ Result rl;
+ Result ru;
switch (From::vclass) {
case VC_MINUS_INFINITY:
rl = Boundary_NS::set_minus_infinity(LOWER, lower(), info());
@@ -17069,7 +17103,7 @@ public:
typename Enable_If<Is_Singleton<From>::value || Is_Interval<From>::value, I_Result>::type
wrap_assign(Bounded_Integer_Type_Width w,
Bounded_Integer_Type_Representation r,
- const From& refinement) {
+ const From& refinement) {
if (is_empty())
return I_EMPTY;
if (lower_is_boundary_infinity() || upper_is_boundary_infinity())
@@ -17082,15 +17116,15 @@ public:
switch (r) {
case UNSIGNED:
umod_2exp_assign(LOWER, lower(), info(),
- LOWER, lower(), info(), w);
+ LOWER, lower(), info(), w);
umod_2exp_assign(UPPER, upper(), info(),
- UPPER, upper(), info(), w);
+ UPPER, upper(), info(), w);
break;
case SIGNED_2_COMPLEMENT:
smod_2exp_assign(LOWER, lower(), info(),
- LOWER, lower(), info(), w);
+ LOWER, lower(), info(), w);
smod_2exp_assign(UPPER, upper(), info(),
- UPPER, upper(), info(), w);
+ UPPER, upper(), info(), w);
break;
default:
PPL_UNREACHABLE;
@@ -17101,7 +17135,7 @@ public:
PPL_DIRTY_TEMP(Interval, tmp);
tmp.info().clear();
Boundary_NS::assign(LOWER, tmp.lower(), tmp.info(),
- LOWER, lower(), info());
+ LOWER, lower(), info());
set_unbounded(UPPER, tmp.upper(), tmp.info());
tmp.intersect_assign(refinement);
lower_extend();
@@ -17129,13 +17163,13 @@ public:
if (is_open(LOWER, lower(), info())) {
if (is_plus_infinity(LOWER, lower(), info())) {
#ifndef NDEBUG
- std::cerr << "The lower boundary is +inf open.\n";
+ std::cerr << "The lower boundary is +inf open.\n";
#endif
}
}
else if (!Info::may_contain_infinity
- && (is_minus_infinity(LOWER, lower(), info())
- || is_plus_infinity(LOWER, lower(), info()))) {
+ && (is_minus_infinity(LOWER, lower(), info())
+ || is_plus_infinity(LOWER, lower(), info()))) {
#ifndef NDEBUG
std::cerr << "The lower boundary is unexpectedly infinity.\n";
#endif
@@ -17144,22 +17178,22 @@ public:
if (!info().get_boundary_property(LOWER, SPECIAL)) {
if (is_not_a_number(lower())) {
#ifndef NDEBUG
- std::cerr << "The lower boundary is not a number.\n";
+ std::cerr << "The lower boundary is not a number.\n";
#endif
- return false;
+ return false;
}
}
if (is_open(UPPER, upper(), info())) {
if (is_minus_infinity(UPPER, upper(), info())) {
#ifndef NDEBUG
- std::cerr << "The upper boundary is -inf open.\n";
+ std::cerr << "The upper boundary is -inf open.\n";
#endif
}
}
else if (!Info::may_contain_infinity
- && (is_minus_infinity(UPPER, upper(), info())
- || is_plus_infinity(UPPER, upper(), info()))) {
+ && (is_minus_infinity(UPPER, upper(), info())
+ || is_plus_infinity(UPPER, upper(), info()))) {
#ifndef NDEBUG
std::cerr << "The upper boundary is unexpectedly infinity."
<< std::endl;
@@ -17169,9 +17203,9 @@ public:
if (!info().get_boundary_property(UPPER, SPECIAL)) {
if (is_not_a_number(upper())) {
#ifndef NDEBUG
- std::cerr << "The upper boundary is not a number.\n";
+ std::cerr << "The upper boundary is not a number.\n";
#endif
- return false;
+ return false;
}
}
@@ -17227,7 +17261,7 @@ public:
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
join_assign(const From1& x, const From2& y);
@@ -17239,7 +17273,7 @@ public:
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
intersect_assign(const From1& x, const From2& y);
@@ -17259,7 +17293,7 @@ public:
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
difference_assign(const From1& x, const From2& y);
@@ -17338,22 +17372,22 @@ public:
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
add_assign(const From1& x, const From2& y);
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
sub_assign(const From1& x, const From2& y);
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
mul_assign(const From1& x, const From2& y);
template <typename From1, typename From2>
typename Enable_If<((Is_Singleton<From1>::value || Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
+ && (Is_Singleton<From2>::value || Is_Interval<From2>::value)), I_Result>::type
div_assign(const From1& x, const From2& y);
template <typename From, typename Iterator>
@@ -17372,7 +17406,7 @@ void swap(Interval<Boundary, Info>& x, Interval<Boundary, Info>& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_inlines.hh line 1. */
/* Inline functions for the Interval class and its constituents.
*/
@@ -17508,11 +17542,11 @@ check_empty_arg(const T& x) {
template <typename T1, typename T2>
inline typename Enable_If<((Is_Singleton<T1>::value
|| Is_Interval<T1>::value)
- && (Is_Singleton<T2>::value
+ && (Is_Singleton<T2>::value
|| Is_Interval<T2>::value)
- && (Is_Interval<T1>::value
+ && (Is_Interval<T1>::value
|| Is_Interval<T2>::value)),
- bool>::type
+ bool>::type
operator==(const T1& x, const T2& y) {
PPL_ASSERT(f_OK(x));
PPL_ASSERT(f_OK(y));
@@ -17527,11 +17561,11 @@ operator==(const T1& x, const T2& y) {
template <typename T1, typename T2>
inline typename Enable_If<((Is_Singleton<T1>::value
|| Is_Interval<T1>::value)
- && (Is_Singleton<T2>::value
+ && (Is_Singleton<T2>::value
|| Is_Interval<T2>::value)
- && (Is_Interval<T1>::value
+ && (Is_Interval<T1>::value
|| Is_Interval<T2>::value)),
- bool>::type
+ bool>::type
operator!=(const T1& x, const T2& y) {
return !(x == y);
}
@@ -17563,9 +17597,9 @@ Interval<Boundary, Info>::strictly_contains(const T& y) const {
if (check_empty_arg(*this))
return false;
return (lt(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
- && ge(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)))
+ && ge(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)))
|| (le(LOWER, lower(), info(), LOWER, f_lower(y), f_info(y))
- && gt(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)));
+ && gt(UPPER, upper(), info(), UPPER, f_upper(y), f_info(y)));
}
template <typename Boundary, typename Info>
@@ -17591,10 +17625,10 @@ Interval<To_Boundary, To_Info>::assign(const From& x) {
return assign(EMPTY);
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
- Result rl = Boundary_NS::assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x));
- Result ru = Boundary_NS::assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x));
+ const Result rl = Boundary_NS::assign(LOWER, lower(), to_info,
+ LOWER, f_lower(x), f_info(x));
+ const Result ru = Boundary_NS::assign(UPPER, upper(), to_info,
+ UPPER, f_upper(x), f_info(x));
assign_or_swap(info(), to_info);
PPL_ASSERT(OK());
return combine(rl, ru);
@@ -17610,7 +17644,8 @@ Interval<To_Boundary, To_Info>::join_assign(const From& x) {
return assign(x);
if (check_empty_arg(x))
return combine(V_EQ, V_EQ);
- Result rl, ru;
+ Result rl;
+ Result ru;
rl = min_assign(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
ru = max_assign(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
PPL_ASSERT(OK());
@@ -17621,7 +17656,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::join_assign(const From1& x, const From2& y) {
PPL_ASSERT(f_OK(x));
@@ -17632,13 +17667,14 @@ Interval<To_Boundary, To_Info>::join_assign(const From1& x, const From2& y) {
return assign(x);
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
- Result rl, ru;
+ Result rl;
+ Result ru;
rl = min_assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
ru = max_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
assign_or_swap(info(), to_info);
PPL_ASSERT(OK());
return combine(rl, ru);
@@ -17678,7 +17714,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::intersect_assign(const From1& x,
const From2& y) {
@@ -17708,7 +17744,8 @@ Interval<To_Boundary, To_Info>::difference_assign(const From& x) {
return combine(V_EQ, V_EQ);
bool nl = ge(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x));
bool nu = le(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x));
- Result rl = V_EQ, ru = V_EQ;
+ Result rl = V_EQ;
+ Result ru = V_EQ;
if (nl) {
if (nu)
return assign(EMPTY);
@@ -17729,7 +17766,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::difference_assign(const From1& x,
const From2& y) {
@@ -17742,7 +17779,8 @@ Interval<To_Boundary, To_Info>::difference_assign(const From1& x,
return assign(x);
bool nl = ge(LOWER, f_lower(x), f_info(x), LOWER, f_lower(y), f_info(y));
bool nu = le(UPPER, f_upper(x), f_info(x), UPPER, f_upper(y), f_info(y));
- Result rl = V_EQ, ru = V_EQ;
+ Result rl = V_EQ;
+ Result ru = V_EQ;
if (nl) {
if (nu)
return assign(EMPTY);
@@ -17775,37 +17813,37 @@ Interval<To_Boundary, To_Info>
case LESS_THAN:
{
if (lt(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(UPPER);
Boundary_NS::assign(UPPER, upper(), info(),
- UPPER, f_upper(x), f_info(x), true);
+ UPPER, f_upper(x), f_info(x), true);
return I_ANY;
}
case LESS_OR_EQUAL:
{
if (le(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(UPPER);
Boundary_NS::assign(UPPER, upper(), info(),
- UPPER, f_upper(x), f_info(x));
+ UPPER, f_upper(x), f_info(x));
return I_ANY;
}
case GREATER_THAN:
{
if (gt(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(LOWER);
Boundary_NS::assign(LOWER, lower(), info(),
- LOWER, f_lower(x), f_info(x), true);
+ LOWER, f_lower(x), f_info(x), true);
return I_ANY;
}
case GREATER_OR_EQUAL:
{
if (ge(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(LOWER);
Boundary_NS::assign(LOWER, lower(), info(),
- LOWER, f_lower(x), f_info(x));
+ LOWER, f_lower(x), f_info(x));
return I_ANY;
}
case EQUAL:
@@ -17813,13 +17851,13 @@ Interval<To_Boundary, To_Info>
case NOT_EQUAL:
{
if (!f_is_singleton(x))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
if (check_empty_arg(*this))
- return I_EMPTY;
+ return I_EMPTY;
if (eq(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- remove_inf();
+ remove_inf();
if (eq(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- remove_sup();
+ remove_sup();
return I_ANY;
}
default:
@@ -17842,10 +17880,10 @@ Interval<To_Boundary, To_Info>::refine_universal(Relation_Symbol rel,
case LESS_THAN:
{
if (lt(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(UPPER);
Result ru = Boundary_NS::assign(UPPER, upper(), info(),
- LOWER, f_lower(x), SCALAR_INFO,
+ LOWER, f_lower(x), SCALAR_INFO,
!is_open(LOWER, f_lower(x), f_info(x)));
PPL_USED(ru);
return I_ANY;
@@ -17853,20 +17891,20 @@ Interval<To_Boundary, To_Info>::refine_universal(Relation_Symbol rel,
case LESS_OR_EQUAL:
{
if (le(UPPER, upper(), info(), LOWER, f_lower(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(UPPER);
Result ru = Boundary_NS::assign(UPPER, upper(), info(),
- LOWER, f_lower(x), SCALAR_INFO);
+ LOWER, f_lower(x), SCALAR_INFO);
PPL_USED(ru);
return I_ANY;
}
case GREATER_THAN:
{
if (gt(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(LOWER);
Result rl = Boundary_NS::assign(LOWER, lower(), info(),
- UPPER, f_upper(x), SCALAR_INFO,
+ UPPER, f_upper(x), SCALAR_INFO,
!is_open(UPPER, f_upper(x), f_info(x)));
PPL_USED(rl);
return I_ANY;
@@ -17874,10 +17912,10 @@ Interval<To_Boundary, To_Info>::refine_universal(Relation_Symbol rel,
case GREATER_OR_EQUAL:
{
if (ge(LOWER, lower(), info(), UPPER, f_upper(x), f_info(x)))
- return combine(V_EQ, V_EQ);
+ return combine(V_EQ, V_EQ);
info().clear_boundary_properties(LOWER);
Result rl = Boundary_NS::assign(LOWER, lower(), info(),
- UPPER, f_upper(x), SCALAR_INFO);
+ UPPER, f_upper(x), SCALAR_INFO);
PPL_USED(rl);
return I_ANY;
}
@@ -17888,11 +17926,11 @@ Interval<To_Boundary, To_Info>::refine_universal(Relation_Symbol rel,
case NOT_EQUAL:
{
if (check_empty_arg(*this))
- return I_EMPTY;
+ return I_EMPTY;
if (eq(LOWER, lower(), info(), LOWER, f_lower(x), f_info(x)))
- remove_inf();
+ remove_inf();
if (eq(UPPER, upper(), info(), UPPER, f_upper(x), f_info(x)))
- remove_sup();
+ remove_sup();
return I_ANY;
}
default:
@@ -17911,7 +17949,8 @@ Interval<To_Boundary, To_Info>::neg_assign(const From& x) {
return assign(EMPTY);
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
- Result rl, ru;
+ Result rl;
+ Result ru;
PPL_DIRTY_TEMP(To_Boundary, to_lower);
rl = Boundary_NS::neg_assign(LOWER, to_lower, to_info, UPPER, f_upper(x), f_info(x));
ru = Boundary_NS::neg_assign(UPPER, upper(), to_info, LOWER, f_lower(x), f_info(x));
@@ -17925,7 +17964,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::add_assign(const From1& x, const From2& y) {
PPL_ASSERT(f_OK(x));
@@ -17946,11 +17985,11 @@ Interval<To_Boundary, To_Info>::add_assign(const From1& x, const From2& y) {
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
Result rl = Boundary_NS::add_assign(LOWER, lower(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
Result ru = Boundary_NS::add_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
assign_or_swap(info(), to_info);
PPL_ASSERT(OK());
return combine(rl, ru);
@@ -17960,7 +17999,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::sub_assign(const From1& x, const From2& y) {
PPL_ASSERT(f_OK(x));
@@ -17981,14 +18020,15 @@ Interval<To_Boundary, To_Info>::sub_assign(const From1& x, const From2& y) {
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
- Result rl, ru;
+ Result rl;
+ Result ru;
PPL_DIRTY_TEMP(To_Boundary, to_lower);
rl = Boundary_NS::sub_assign(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
+ LOWER, f_lower(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
ru = Boundary_NS::sub_assign(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
+ UPPER, f_upper(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
assign_or_swap(lower(), to_lower);
assign_or_swap(info(), to_info);
PPL_ASSERT(OK());
@@ -18011,7 +18051,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::mul_assign(const From1& x, const From2& y) {
PPL_ASSERT(f_OK(x));
@@ -18023,7 +18063,8 @@ Interval<To_Boundary, To_Info>::mul_assign(const From1& x, const From2& y) {
int yls = sgn_b(LOWER, f_lower(y), f_info(y));
int yus = (yls > 0) ? 1 : sgn_b(UPPER, f_upper(y), f_info(y));
int inf_sign = Parma_Polyhedra_Library::infinity_sign(x);
- int ls, us;
+ int ls;
+ int us;
if (inf_sign != 0) {
ls = yls;
us = yus;
@@ -18036,98 +18077,99 @@ Interval<To_Boundary, To_Info>::mul_assign(const From1& x, const From2& y) {
us = xus;
inf:
if (ls == 0 && us == 0)
- return assign(EMPTY);
+ return assign(EMPTY);
if (ls == -us)
- return set_infinities();
+ return set_infinities();
if (ls < 0 || us < 0)
- inf_sign = -inf_sign;
+ inf_sign = -inf_sign;
if (inf_sign < 0)
- return assign(MINUS_INFINITY);
+ return assign(MINUS_INFINITY);
else
- return assign(PLUS_INFINITY);
+ return assign(PLUS_INFINITY);
}
}
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
- Result rl, ru;
+ Result rl;
+ Result ru;
PPL_DIRTY_TEMP(To_Boundary, to_lower);
if (xls >= 0) {
if (yls >= 0) {
// 0 <= xl <= xu, 0 <= yl <= yu
rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
}
else if (yus <= 0) {
// 0 <= xl <= xu, yl <= yu <= 0
rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
}
else {
// 0 <= xl <= xu, yl < 0 < yu
rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
}
}
else if (xus <= 0) {
if (yls >= 0) {
// xl <= xu <= 0, 0 <= yl <= yu
rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
}
else if (yus <= 0) {
// xl <= xu <= 0, yl <= yu <= 0
rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
}
else {
// xl <= xu <= 0, yl < 0 < yu
rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
}
}
else if (yls >= 0) {
// xl < 0 < xu, 0 <= yl <= yu
rl = mul_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
ru = mul_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
}
else if (yus <= 0) {
// xl < 0 < xu, yl <= yu <= 0
rl = mul_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
ru = mul_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
}
else {
// xl < 0 < xu, yl < 0 < yu
@@ -18136,22 +18178,22 @@ Interval<To_Boundary, To_Info>::mul_assign(const From1& x, const From2& y) {
tmp_info.clear();
Result tmp_r;
tmp_r = Boundary_NS::mul_assign(LOWER, tmp, tmp_info,
- UPPER, f_upper(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
+ UPPER, f_upper(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
rl = Boundary_NS::mul_assign(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
+ LOWER, f_lower(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
if (gt(LOWER, to_lower, to_info, LOWER, tmp, tmp_info)) {
to_lower = tmp;
rl = tmp_r;
}
tmp_info.clear();
tmp_r = Boundary_NS::mul_assign(UPPER, tmp, tmp_info,
- UPPER, f_upper(x), f_info(x),
- UPPER, f_upper(y), f_info(y));
+ UPPER, f_upper(x), f_info(x),
+ UPPER, f_upper(y), f_info(y));
ru = Boundary_NS::mul_assign(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x),
- LOWER, f_lower(y), f_info(y));
+ LOWER, f_lower(x), f_info(x),
+ LOWER, f_lower(y), f_info(y));
if (lt(UPPER, upper(), to_info, UPPER, tmp, tmp_info)) {
upper() = tmp;
ru = tmp_r;
@@ -18178,7 +18220,7 @@ template <typename To_Boundary, typename To_Info>
template <typename From1, typename From2>
inline typename Enable_If<((Is_Singleton<From1>::value
|| Is_Interval<From1>::value)
- && (Is_Singleton<From2>::value
+ && (Is_Singleton<From2>::value
|| Is_Interval<From2>::value)), I_Result>::type
Interval<To_Boundary, To_Info>::div_assign(const From1& x, const From2& y) {
PPL_ASSERT(f_OK(x));
@@ -18207,58 +18249,59 @@ Interval<To_Boundary, To_Info>::div_assign(const From1& x, const From2& y) {
PPL_DIRTY_TEMP(To_Info, to_info);
to_info.clear();
- Result rl, ru;
+ Result rl;
+ Result ru;
PPL_DIRTY_TEMP(To_Boundary, to_lower);
if (yls >= 0) {
if (xls >= 0) {
rl = div_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
ru = div_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
}
else if (xus <= 0) {
rl = div_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
ru = div_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
}
else {
rl = div_assign_z(LOWER, to_lower, to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
ru = div_assign_z(UPPER, upper(), to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
}
}
else if (yus <= 0) {
if (xls >= 0) {
rl = div_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
ru = div_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- LOWER, f_lower(y), f_info(y), yls);
+ LOWER, f_lower(x), f_info(x), xls,
+ LOWER, f_lower(y), f_info(y), yls);
}
else if (xus <= 0) {
rl = div_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- LOWER, f_lower(y), f_info(y), yls);
+ UPPER, f_upper(x), f_info(x), xus,
+ LOWER, f_lower(y), f_info(y), yls);
ru = div_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
}
else {
rl = div_assign_z(LOWER, to_lower, to_info,
- UPPER, f_upper(x), f_info(x), xus,
- UPPER, f_upper(y), f_info(y), yus);
+ UPPER, f_upper(x), f_info(x), xus,
+ UPPER, f_upper(y), f_info(y), yus);
ru = div_assign_z(UPPER, upper(), to_info,
- LOWER, f_lower(x), f_info(x), xls,
- UPPER, f_upper(y), f_info(y), yus);
+ LOWER, f_lower(x), f_info(x), xls,
+ UPPER, f_upper(y), f_info(y), yus);
}
}
else {
@@ -18501,7 +18544,7 @@ swap(Interval<Boundary, Info>& x, Interval<Boundary, Info>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_templates.hh line 1. */
/* Interval class implementation: non-inline template functions.
*/
@@ -18568,8 +18611,8 @@ template <typename Boundary, typename Info>
template <typename From, typename Iterator>
typename Enable_If<Is_Interval<From>::value, void>::type
Interval<Boundary, Info>::CC76_widening_assign(const From& y,
- Iterator first,
- Iterator last) {
+ Iterator first,
+ Iterator last) {
// We assume that `y' is contained in or equal to `*this'.
PPL_ASSERT(contains(y));
Interval<Boundary, Info>& x = *this;
@@ -18582,11 +18625,11 @@ Interval<Boundary, Info>::CC76_widening_assign(const From& y,
if (y_ub < x_ub) {
Iterator k = std::lower_bound(first, last, x_ub);
if (k != last) {
- if (x_ub < *k)
- x_ub = *k;
+ if (x_ub < *k)
+ x_ub = *k;
}
else
- x.upper_extend();
+ x.upper_extend();
}
}
@@ -18598,12 +18641,12 @@ Interval<Boundary, Info>::CC76_widening_assign(const From& y,
if (y_lb > x_lb) {
Iterator k = std::lower_bound(first, last, x_lb);
if (k != last) {
- if (x_lb < *k) {
- if (k != first)
- x_lb = *--k;
- else
- x.lower_extend();
- }
+ if (x_lb < *k) {
+ if (k != first)
+ x_lb = *--k;
+ else
+ x.lower_extend();
+ }
}
else {
if (k != first)
@@ -18830,7 +18873,7 @@ operator>>(std::istream& is, Interval<Boundary, Info>& x) {
if (!lower_boundary_infinity
&& !upper_boundary_infinity
&& (lower_bound > upper_bound
- || (lower_open && lower_bound == upper_bound)))
+ || (lower_open && lower_bound == upper_bound)))
x.assign(EMPTY);
else {
if (lower_boundary_infinity)
@@ -18881,9 +18924,9 @@ Interval<Boundary, Info>::empty_intersection_assign(const From&) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Interval.defs.hh line 760. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Interval_defs.hh line 762. */
-/* Automatically generated from PPL source file ../src/Integer_Interval.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Integer_Interval.hh line 28. */
#include <gmpxx.h>
namespace Parma_Polyhedra_Library {
@@ -18909,17 +18952,17 @@ typedef Interval<mpz_class, Integer_Interval_Info> Integer_Interval;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/initializer.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/initializer.hh line 1. */
/* Nifty counter object for the initialization of the library.
*/
-/* Automatically generated from PPL source file ../src/Init.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Init_defs.hh line 1. */
/* Init class declaration.
*/
-/* Automatically generated from PPL source file ../src/Init.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Init_defs.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -18988,12 +19031,12 @@ private:
friend void restore_pre_PPL_rounding();
};
-/* Automatically generated from PPL source file ../src/Init.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Init_inlines.hh line 1. */
/* Init class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Init.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Init_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -19013,10 +19056,10 @@ restore_pre_PPL_rounding() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Init.defs.hh line 98. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Init_defs.hh line 98. */
-/* Automatically generated from PPL source file ../src/initializer.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/initializer.hh line 28. */
#ifndef PPL_NO_AUTOMATIC_INITIALIZATION
@@ -19051,12 +19094,12 @@ finalize() {
} //namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_defs.hh line 1. */
/* Linear_Expression_Impl class declaration.
*/
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -19066,32 +19109,23 @@ class Linear_Expression_Impl;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Congruence.types.hh line 1. */
-
-
-namespace Parma_Polyhedra_Library {
-
-class Congruence;
-
-}
-
-/* Automatically generated from PPL source file ../src/Coefficient.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_defs.hh line 1. */
/* Coefficient class declaration.
*/
-/* Automatically generated from PPL source file ../src/Coefficient.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_types.hh line 1. */
-/* Automatically generated from PPL source file ../src/Coefficient.types.hh line 17. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_types.hh line 17. */
#ifdef PPL_GMP_INTEGERS
-/* Automatically generated from PPL source file ../src/GMP_Integer.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_types.hh line 1. */
-/* Automatically generated from PPL source file ../src/GMP_Integer.types.hh line 17. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_types.hh line 17. */
#include <gmpxx.h>
-/* Automatically generated from PPL source file ../src/GMP_Integer.types.hh line 19. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_types.hh line 19. */
namespace Parma_Polyhedra_Library {
@@ -19118,7 +19152,7 @@ struct Coefficient_traits_template<GMP_Integer> {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Coefficient.types.hh line 20. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_types.hh line 20. */
#endif
#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
@@ -19281,20 +19315,20 @@ typedef Coefficient_traits_template<Coefficient> Coefficient_traits;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Coefficient.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_defs.hh line 28. */
#include <iosfwd>
#if defined(PPL_CHECKED_INTEGERS) || defined(PPL_NATIVE_INTEGERS)
-/* Automatically generated from PPL source file ../src/Coefficient.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_defs.hh line 33. */
#endif
#ifdef PPL_GMP_INTEGERS
-/* Automatically generated from PPL source file ../src/GMP_Integer.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_defs.hh line 1. */
/* GMP_Integer class declaration.
*/
-/* Automatically generated from PPL source file ../src/GMP_Integer.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_defs.hh line 29. */
#include <cstddef>
namespace Parma_Polyhedra_Library {
@@ -19334,12 +19368,12 @@ void abs_assign(GMP_Integer& x, const GMP_Integer& y);
//! Assigns to \p x the remainder of the division of \p y by \p z.
/*! \relates GMP_Integer */
void rem_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Assigns to \p x the greatest common divisor of \p y and \p z.
/*! \relates GMP_Integer */
void gcd_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Extended GCD.
/*! \relates GMP_Integer
@@ -19347,22 +19381,22 @@ void gcd_assign(GMP_Integer& x,
\p s and \p t the values such that \p y * \p s + \p z * \p t = \p x.
*/
void gcdext_assign(GMP_Integer& x, GMP_Integer& s, GMP_Integer& t,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Assigns to \p x the least common multiple of \p y and \p z.
/*! \relates GMP_Integer */
void lcm_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Assigns to \p x the value <CODE>x + y * z</CODE>.
/*! \relates GMP_Integer */
void add_mul_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Assigns to \p x the value <CODE>x - y * z</CODE>.
/*! \relates GMP_Integer */
void sub_mul_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Assigns to \p x the value \f$ y \cdot 2^\mathtt{exp} \f$.
/*! \relates GMP_Integer */
@@ -19380,7 +19414,7 @@ void div_2exp_assign(GMP_Integer& x, const GMP_Integer& y, unsigned int exp);
The behavior is undefined if \p z does not divide \p y.
*/
void exact_div_assign(GMP_Integer& x,
- const GMP_Integer& y, const GMP_Integer& z);
+ const GMP_Integer& y, const GMP_Integer& z);
//! Assigns to \p x the integer square root of \p y.
/*! \relates GMP_Integer */
@@ -19398,12 +19432,12 @@ int cmp(const GMP_Integer& x, const GMP_Integer& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/GMP_Integer.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_inlines.hh line 1. */
/* GMP_Integer class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/GMP_Integer.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -19439,10 +19473,10 @@ rem_assign(GMP_Integer& x, const GMP_Integer& y, const GMP_Integer& z) {
inline void
gcdext_assign(GMP_Integer& x, GMP_Integer& s, GMP_Integer& t,
- const GMP_Integer& y, const GMP_Integer& z) {
+ const GMP_Integer& y, const GMP_Integer& z) {
mpz_gcdext(x.get_mpz_t(),
- s.get_mpz_t(), t.get_mpz_t(),
- y.get_mpz_t(), z.get_mpz_t());
+ s.get_mpz_t(), t.get_mpz_t(),
+ y.get_mpz_t(), z.get_mpz_t());
}
inline void
@@ -19498,9 +19532,9 @@ raw_value(GMP_Integer& x) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/GMP_Integer.defs.hh line 133. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/GMP_Integer_defs.hh line 133. */
-/* Automatically generated from PPL source file ../src/Coefficient.defs.hh line 37. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_defs.hh line 37. */
#endif
namespace Parma_Polyhedra_Library {
@@ -19523,7 +19557,7 @@ Coefficient_traits::const_reference Coefficient_one();
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Coefficient.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_inlines.hh line 1. */
/* Coefficient class implementation: inline functions.
*/
@@ -19573,14 +19607,14 @@ Coefficient_one() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Coefficient.defs.hh line 60. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Coefficient_defs.hh line 60. */
-/* Automatically generated from PPL source file ../src/Variables_Set.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variables_Set_defs.hh line 1. */
/* Variables_Set class declaration.
*/
-/* Automatically generated from PPL source file ../src/Variables_Set.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variables_Set_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -19589,7 +19623,7 @@ class Variables_Set;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variables_Set.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variables_Set_defs.hh line 30. */
#include <iosfwd>
#include <set>
@@ -19665,12 +19699,12 @@ public:
PPL_OUTPUT_DECLARATIONS
};
-/* Automatically generated from PPL source file ../src/Variables_Set.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variables_Set_inlines.hh line 1. */
/* Variables_Set class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Variables_Set.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variables_Set_inlines.hh line 28. */
#include <stdexcept>
namespace Parma_Polyhedra_Library {
@@ -19718,14 +19752,14 @@ Variables_Set::total_memory_in_bytes() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variables_Set.defs.hh line 106. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variables_Set_defs.hh line 106. */
-/* Automatically generated from PPL source file ../src/Dense_Row.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_defs.hh line 1. */
/* Dense_Row class declaration.
*/
-/* Automatically generated from PPL source file ../src/Dense_Row.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -19734,11 +19768,11 @@ class Dense_Row;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Dense_Row.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Dense_Row.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_defs.hh line 30. */
-/* Automatically generated from PPL source file ../src/Sparse_Row.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -19747,7 +19781,7 @@ class Sparse_Row;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Dense_Row.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_defs.hh line 33. */
#include <memory>
#include <vector>
#include <limits>
@@ -20273,12 +20307,12 @@ void linear_combine(Dense_Row& x, const Dense_Row& y,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Dense_Row.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_inlines.hh line 1. */
/* Dense_Row class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Dense_Row.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_inlines.hh line 28. */
#include <cstddef>
#include <limits>
#include <algorithm>
@@ -20782,7 +20816,7 @@ iter_swap(std::vector<Dense_Row>::iterator x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Dense_Row.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_templates.hh line 1. */
/* Dense_Row class implementation: non-inline template functions.
*/
@@ -20816,21 +20850,21 @@ Dense_Row::combine(const Dense_Row& y, const Func1& /* f */, const Func2& g,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Dense_Row.defs.hh line 560. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Dense_Row_defs.hh line 560. */
-/* Automatically generated from PPL source file ../src/Sparse_Row.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_defs.hh line 1. */
/* Sparse_Row class declaration.
*/
-/* Automatically generated from PPL source file ../src/Sparse_Row.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/CO_Tree.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_defs.hh line 1. */
/* CO_Tree class declaration.
*/
-/* Automatically generated from PPL source file ../src/CO_Tree.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -20839,9 +20873,9 @@ class CO_Tree;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/CO_Tree.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/CO_Tree.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_defs.hh line 30. */
#include <memory>
#ifndef PPL_CO_TREE_EXTRA_DEBUG
@@ -21769,6 +21803,17 @@ private:
data_type_const_reference data,
tree_iterator itr);
+ //! Helper for \c insert_precise.
+ /*!
+ This helper method takes the same arguments as \c insert_precise,
+ but besides assuming that \p itr is a correct hint, it also assumes
+ that \p key and \p data are not in the tree; namely, a proper
+ insertion has to be done and the insertion can not invalidate \p data.
+ */
+ tree_iterator insert_precise_aux(dimension_type key,
+ data_type_const_reference data,
+ tree_iterator itr);
+
//! Inserts an element in the tree.
/*!
@@ -22357,7 +22402,7 @@ void swap(CO_Tree::iterator& x, CO_Tree::iterator& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/CO_Tree.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_inlines.hh line 1. */
/* CO_Tree class implementation: inline functions.
*/
@@ -22462,7 +22507,8 @@ CO_Tree::insert(dimension_type key, data_type_const_reference data1) {
tree_iterator itr(*this);
PPL_ASSERT(itr.index() != unused_index);
return iterator(itr);
- } else {
+ }
+ else {
tree_iterator itr(*this);
itr.go_down_searching_key(key);
return iterator(insert_precise(key, data1, itr));
@@ -22571,7 +22617,8 @@ inline CO_Tree::iterator
CO_Tree::bisect_in(iterator first, iterator last, dimension_type key) {
PPL_ASSERT(first != end());
PPL_ASSERT(last != end());
- dimension_type index = bisect_in(dfs_index(first), dfs_index(last), key);
+ const dimension_type index
+ = bisect_in(dfs_index(first), dfs_index(last), key);
return iterator(*this, index);
}
@@ -22580,7 +22627,8 @@ CO_Tree::bisect_in(const_iterator first, const_iterator last,
dimension_type key) const {
PPL_ASSERT(first != end());
PPL_ASSERT(last != end());
- dimension_type index = bisect_in(dfs_index(first), dfs_index(last), key);
+ const dimension_type index
+ = bisect_in(dfs_index(first), dfs_index(last), key);
return const_iterator(*this, index);
}
@@ -22588,7 +22636,8 @@ inline CO_Tree::iterator
CO_Tree::bisect_near(iterator hint, dimension_type key) {
if (hint == end())
return bisect(key);
- dimension_type index = bisect_near(dfs_index(hint), key);
+ const dimension_type index
+ = bisect_near(dfs_index(hint), key);
return iterator(*this, index);
}
@@ -22596,7 +22645,7 @@ inline CO_Tree::const_iterator
CO_Tree::bisect_near(const_iterator hint, dimension_type key) const {
if (hint == end())
return bisect(key);
- dimension_type index = bisect_near(dfs_index(hint), key);
+ const dimension_type index = bisect_near(dfs_index(hint), key);
return const_iterator(*this, index);
}
@@ -23101,12 +23150,12 @@ CO_Tree::tree_iterator::get_parent() {
inline void
CO_Tree::tree_iterator::follow_left_children_with_value() {
PPL_ASSERT(index() != unused_index);
- dimension_type* p = tree.indexes;
+ const dimension_type* p = tree.indexes;
p += i;
p -= (offset - 1);
while (*p == unused_index)
++p;
- ptrdiff_t distance = p - tree.indexes;
+ const ptrdiff_t distance = p - tree.indexes;
PPL_ASSERT(distance >= 0);
i = static_cast<dimension_type>(distance);
offset = least_significant_one_mask(i);
@@ -23116,12 +23165,12 @@ CO_Tree::tree_iterator::follow_left_children_with_value() {
inline void
CO_Tree::tree_iterator::follow_right_children_with_value() {
PPL_ASSERT(index() != unused_index);
- dimension_type* p = tree.indexes;
+ const dimension_type* p = tree.indexes;
p += i;
p += (offset - 1);
while (*p == unused_index)
--p;
- ptrdiff_t distance = p - tree.indexes;
+ const ptrdiff_t distance = p - tree.indexes;
PPL_ASSERT(distance >= 0);
i = static_cast<dimension_type>(distance);
offset = least_significant_one_mask(i);
@@ -23199,7 +23248,7 @@ swap(CO_Tree::iterator& x, CO_Tree::iterator& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/CO_Tree.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_templates.hh line 1. */
/* CO_Tree class implementation: non-inline template functions.
*/
@@ -23215,7 +23264,7 @@ CO_Tree::CO_Tree(Iterator i, dimension_type n) {
return;
}
- dimension_type new_max_depth = integer_log2(n) + 1;
+ const dimension_type new_max_depth = integer_log2(n) + 1;
reserved_size = (static_cast<dimension_type>(1) << new_max_depth) - 1;
if (is_greater_than_ratio(n, reserved_size, max_density_percent)
@@ -23290,14 +23339,16 @@ CO_Tree::CO_Tree(Iterator i, dimension_type n) {
if (top_n == 0) {
--stack_first_empty;
- } else {
+ }
+ else {
if (top_n == 1) {
PPL_ASSERT(root.index() == unused_index);
root.index() = i.index();
new (&(*root)) data_type(*i);
++i;
--stack_first_empty;
- } else {
+ }
+ else {
PPL_ASSERT(stack_first_empty + 3 < sizeof(stack)/sizeof(stack[0]));
const dimension_type half = (top_n + 1) / 2;
@@ -23316,9 +23367,9 @@ CO_Tree::CO_Tree(Iterator i, dimension_type n) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/CO_Tree.defs.hh line 1547. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/CO_Tree_defs.hh line 1558. */
-/* Automatically generated from PPL source file ../src/Sparse_Row.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_defs.hh line 32. */
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! A finite sparse sequence of coefficients.
@@ -24214,7 +24265,7 @@ void linear_combine(Sparse_Row& x, const Sparse_Row& y,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sparse_Row.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_inlines.hh line 1. */
/* Sparse_Row class implementation: inline functions.
*/
@@ -24570,7 +24621,7 @@ swap(Sparse_Row& x, Sparse_Row& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sparse_Row.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_templates.hh line 1. */
/* Sparse_Row class implementation: non-inline template functions.
*/
@@ -24585,7 +24636,8 @@ Sparse_Row::combine_needs_first(const Sparse_Row& y,
if (this == &y) {
for (iterator i = begin(), i_end = end(); i != i_end; ++i)
g(*i, *i);
- } else {
+ }
+ else {
iterator i = begin();
// This is a const reference to an internal iterator, that is kept valid.
// If we just stored a copy, that would be invalidated by the calls to
@@ -24601,14 +24653,16 @@ Sparse_Row::combine_needs_first(const Sparse_Row& y,
else
++i;
++j;
- } else
+ }
+ else
if (i.index() < j.index()) {
f(*i);
if (*i == 0)
i = reset(i);
else
++i;
- } else
+ }
+ else
j = y.lower_bound(j, i.index());
while (i != i_end) {
f(*i);
@@ -24641,7 +24695,8 @@ Sparse_Row::combine(const Sparse_Row& y, const Func1& f,
if (this == &y) {
for (iterator i = begin(), i_end = end(); i != i_end; ++i)
g(*i, *i);
- } else {
+ }
+ else {
iterator i = begin();
// This is a const reference to an internal iterator, that is kept valid.
// If we just stored a copy, that would be invalidated by the calls to
@@ -24657,14 +24712,16 @@ Sparse_Row::combine(const Sparse_Row& y, const Func1& f,
else
++i;
++j;
- } else
+ }
+ else
if (i.index() < j.index()) {
f(*i);
if (*i == 0)
i = reset(i);
else
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
i = insert(i, j.index());
h(*i, *j);
@@ -24695,16 +24752,16 @@ Sparse_Row::combine(const Sparse_Row& y, const Func1& f,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sparse_Row.defs.hh line 929. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sparse_Row_defs.hh line 929. */
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.defs.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_defs.hh line 33. */
#include <cstddef>
-/* Automatically generated from PPL source file ../src/Linear_Expression_Interface.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Interface_defs.hh line 1. */
/* Linear_Expression_Interface class declaration.
*/
-/* Automatically generated from PPL source file ../src/Linear_Expression_Interface.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Interface_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -24713,7 +24770,7 @@ class Linear_Expression_Interface;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression_Interface.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Interface_defs.hh line 33. */
#include <vector>
#include <set>
@@ -25170,7 +25227,7 @@ public:
virtual void get_row(Sparse_Row& row) const = 0;
};
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.defs.hh line 36. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_defs.hh line 35. */
namespace Parma_Polyhedra_Library {
@@ -25713,20 +25770,11 @@ public:
//! Implementation sizing constructor.
/*!
- The bool parameter is just to avoid problems with
- the constructor Linear_Expression_Impl(Coefficient_traits::const_reference n).
+ The bool parameter is just to avoid problems with the constructor
+ Linear_Expression_Impl(Coefficient_traits::const_reference n).
*/
Linear_Expression_Impl(dimension_type space_dim, bool);
- //! Builds the linear expression corresponding to congruence \p cg, and
- //! with the specified space dimension.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- builds the linear expression \f$\sum_{i=0}^{space_dim-1} a_i x_i + b\f$.
- */
- Linear_Expression_Impl(const Congruence& cg, dimension_type space_dim);
-
//! Linearly combines \p *this with \p y so that the coefficient of \p v
//! is 0.
/*!
@@ -26048,17 +26096,17 @@ Linear_Expression_Impl<Sparse_Row>::const_iterator::skip_zeroes_forward();
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_inlines.hh line 1. */
/* Linear_Expression_Impl class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/math_utilities.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/math_utilities_defs.hh line 1. */
/* Declarations of some math utility functions.
*/
-/* Automatically generated from PPL source file ../src/math_utilities.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/math_utilities_defs.hh line 29. */
#include <gmpxx.h>
namespace Parma_Polyhedra_Library {
@@ -26069,7 +26117,7 @@ namespace Parma_Polyhedra_Library {
template <typename T>
typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
numer_denom(const T& from,
- Coefficient& numer, Coefficient& denom);
+ Coefficient& numer, Coefficient& denom);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Divides \p x by \p y into \p to, rounding the result towards plus infinity.
@@ -26077,8 +26125,8 @@ numer_denom(const T& from,
template <typename T>
typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
div_round_up(T& to,
- Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y);
+ Coefficient_traits::const_reference x,
+ Coefficient_traits::const_reference y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Assigns to \p x the minimum between \p x and \p y.
@@ -26120,8 +26168,8 @@ is_additive_inverse(const T& x, const T& y);
#endif
void
normalize2(Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y,
- Coefficient& n_x, Coefficient& n_y);
+ Coefficient_traits::const_reference y,
+ Coefficient& n_x, Coefficient& n_y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Returns <CODE>true</CODE> if and only if \p x is in canonical form.
@@ -26138,21 +26186,21 @@ low_bits_mask(unsigned n);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/math_utilities.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/math_utilities_inlines.hh line 1. */
/* Implementation of some math utility functions: inline functions.
*/
-/* Automatically generated from PPL source file ../src/math_utilities.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/math_utilities_inlines.hh line 28. */
#include <limits>
-/* Automatically generated from PPL source file ../src/math_utilities.inlines.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/math_utilities_inlines.hh line 30. */
namespace Parma_Polyhedra_Library {
inline void
normalize2(Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y,
- Coefficient& n_x, Coefficient& n_y) {
+ Coefficient_traits::const_reference y,
+ Coefficient& n_x, Coefficient& n_y) {
PPL_DIRTY_TEMP_COEFFICIENT(gcd);
gcd_assign(gcd, x, y);
exact_div_assign(n_x, x, gcd);
@@ -26169,10 +26217,10 @@ low_bits_mask(const unsigned n) {
template <typename T>
inline typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
numer_denom(const T& from,
- Coefficient& numer, Coefficient& denom) {
+ Coefficient& numer, Coefficient& denom) {
PPL_ASSERT(!is_not_a_number(from)
- && !is_minus_infinity(from)
- && !is_plus_infinity(from));
+ && !is_minus_infinity(from)
+ && !is_plus_infinity(from));
PPL_DIRTY_TEMP(mpq_class, q);
assign_r(q, from, ROUND_NOT_NEEDED);
numer = q.get_num();
@@ -26182,8 +26230,8 @@ numer_denom(const T& from,
template <typename T>
inline typename Enable_If<Is_Native_Or_Checked<T>::value, void>::type
div_round_up(T& to,
- Coefficient_traits::const_reference x,
- Coefficient_traits::const_reference y) {
+ Coefficient_traits::const_reference x,
+ Coefficient_traits::const_reference y) {
PPL_DIRTY_TEMP(mpq_class, q_x);
PPL_DIRTY_TEMP(mpq_class, q_y);
// Note: this code assumes that a Coefficient is always convertible
@@ -26236,9 +26284,9 @@ is_canonical(const mpq_class& x) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/math_utilities.defs.hh line 109. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/math_utilities_defs.hh line 109. */
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_inlines.hh line 28. */
#include <stdexcept>
namespace Parma_Polyhedra_Library {
@@ -26305,7 +26353,7 @@ inline void
Linear_Expression_Impl<Row>
::set_coefficient(Variable v, Coefficient_traits::const_reference n) {
PPL_ASSERT(v.space_dimension() <= space_dimension());
- dimension_type i = v.space_dimension();
+ const dimension_type i = v.space_dimension();
if (n == 0)
row.reset(i);
else
@@ -26493,19 +26541,19 @@ operator<<(std::ostream& s, const Linear_Expression_Impl<Row>& e) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_templates.hh line 1. */
/* Linear_Expression_Impl class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.templates.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_templates.hh line 29. */
-/* Automatically generated from PPL source file ../src/Constraint.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_defs.hh line 1. */
/* Constraint class declaration.
*/
-/* Automatically generated from PPL source file ../src/Constraint.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26514,9 +26562,18 @@ class Constraint;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constraint.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_defs.hh line 28. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_types.hh line 1. */
+
+
+namespace Parma_Polyhedra_Library {
+
+class Congruence;
+
+}
-/* Automatically generated from PPL source file ../src/Polyhedron.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26525,7 +26582,7 @@ class Polyhedron;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/termination.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26534,7 +26591,7 @@ class Termination_Helpers;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26546,7 +26603,7 @@ class Octagonal_Shape_Helper;
}
-/* Automatically generated from PPL source file ../src/Grid.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26555,16 +26612,16 @@ class Grid;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constraint.defs.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_defs.hh line 35. */
-/* Automatically generated from PPL source file ../src/Linear_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_defs.hh line 1. */
/* Linear_Expression class declaration.
*/
-/* Automatically generated from PPL source file ../src/Linear_Expression.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Generator.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26573,7 +26630,7 @@ class Generator;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid_Generator.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26582,7 +26639,20 @@ class Grid_Generator;
}
-/* Automatically generated from PPL source file ../src/Constraint_System.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_types.hh line 1. */
+
+
+namespace Parma_Polyhedra_Library {
+
+template <typename Row>
+class Linear_System;
+
+template <typename Row>
+class Linear_System_With_Bit_Matrix_iterator;
+
+} // namespace Parma_Polyhedra_Library
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26592,20 +26662,16 @@ class Constraint_System_const_iterator;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_System_types.hh line 1. */
namespace Parma_Polyhedra_Library {
-template <typename Row>
-class Linear_System;
-
-template <typename Row>
-class Linear_System_With_Bit_Matrix_iterator;
+class Congruence_System;
-} // namespace Parma_Polyhedra_Library
+}
-/* Automatically generated from PPL source file ../src/PIP_Problem.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26623,7 +26689,7 @@ class PIP_Problem;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/BHRZ03_Certificate.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BHRZ03_Certificate_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26632,7 +26698,7 @@ class BHRZ03_Certificate;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Scalar_Products.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Scalar_Products_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26643,7 +26709,7 @@ class Topology_Adjusted_Scalar_Product_Assign;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/MIP_Problem.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -26663,50 +26729,455 @@ class MIP_Problem;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Congruence_System.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_types.hh line 1. */
namespace Parma_Polyhedra_Library {
-class Congruence_System;
+template <typename T>
+class BD_Shape;
-}
+class BD_Shape_Helpers;
-/* Automatically generated from PPL source file ../src/BD_Shape.types.hh line 1. */
+} // namespace Parma_Polyhedra_Library
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_defs.hh line 47. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Adapter_defs.hh line 1. */
+/* Expression_Adapter class declaration.
+*/
+
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Adapter_types.hh line 1. */
namespace Parma_Polyhedra_Library {
+class Expression_Adapter_Base;
+
template <typename T>
-class BD_Shape;
+class Expression_Adapter;
-class BD_Shape_Helpers;
+template <typename T>
+class Expression_Adapter_Transparent;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Adapter_defs.hh line 32. */
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! Adapters' base type (for template meta-programming).
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+class Parma_Polyhedra_Library::Expression_Adapter_Base {
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An adapter for Linear_Expression objects.
+/*!
+ The adapters are meant to provide read-only, customized access to the
+ Linear_Expression members in Constraint, Generator, Congruence and
+ Grid_Generator objects. They typically implement the user-level view
+ of these expressions.
+
+ \note
+ A few methods implement low-level access routines and will take
+ bare indexes as arguments (rather than Variable objects):
+ when such a bare index \c i is zero, the inhomogeneous term is meant;
+ when the bare index \c i is greater than zero, the coefficient of the
+ variable having id <CODE>i - 1</CODE> is meant.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Adapter
+ : public Expression_Adapter_Base {
+public:
+ //! The type of this object.
+ typedef Expression_Adapter<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename T::const_reference inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename T::raw_type raw_type;
+
+ //! Returns an adapter after one-level unwrapping.
+ inner_type inner() const;
+
+ //! The type of const iterators on coefficients.
+ typedef typename raw_type::const_iterator const_iterator;
+ //! Returns the current representation of \p *this.
+ Representation representation() const;
+
+ //! Iterator pointing to the first nonzero variable coefficient.
+ const_iterator begin() const;
+
+ //! Iterator pointing after the last nonzero variable coefficient.
+ const_iterator end() const;
+
+ //! Iterator pointing to the first nonzero variable coefficient
+ //! of a variable bigger than or equal to \p v.
+ const_iterator lower_bound(Variable v) const;
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns the inhomogeneous term of \p *this.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is zero.
+ bool is_zero() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are zero.
+ */
+ bool all_homogeneous_terms_are_zero() const;
+
+ /*! \brief Returns \p true if \p *this is equal to \p y.
+
+ Note that <CODE>(*this == y)</CODE> has a completely different meaning.
+ */
+ template <typename Expression>
+ bool is_equal_to(const Expression& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars is zero.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+ //! Returns the \p i -th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Returns the coefficient of variable \p v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is zero,
+ for each i in [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ //! Returns the number of zero coefficient in [start, end).
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end).
+ Returns zero if all the coefficients in the range are zero.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ //! Returns the index of the last nonzero element, or zero if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last),
+ //! or \p last if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there
+ //! are no nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from set \p x all the indexes of nonzero elements in \p *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \c true if <CODE>(*this)[i]</CODE> is equal to <CODE>y[i]</CODE>,
+ //! for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \c true if <CODE>(*this)[i]*c1</CODE> is equal to
+ //! <CODE>y[i]*c2</CODE>, for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Sparse_Row& row) const;
+
+ //! Returns \c true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both \p *this and \p y.
+ template <typename Expression>
+ bool have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const;
+
+protected:
+ //! Constructor.
+ explicit Expression_Adapter(const raw_type& expr);
+ //! The raw, completely unwrapped object subject to adaptation.
+ const raw_type& raw_;
+};
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! A transparent adapter for Linear_Expression objects.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Adapter_Transparent
+ : public Expression_Adapter<T> {
+ typedef Expression_Adapter<T> base_type;
+public:
+ //! The type of this object.
+ typedef Expression_Adapter_Transparent<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename base_type::inner_type inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename base_type::raw_type raw_type;
+
+ //! The type of const iterators on coefficients.
+ typedef typename base_type::const_iterator const_iterator;
+
+ //! Constructor.
+ explicit Expression_Adapter_Transparent(const raw_type& expr);
+};
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Adapter_inlines.hh line 1. */
+/* Expression_Adapter class implementation: inline functions.
+*/
+
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Adapter_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
+template <typename T>
+inline
+Expression_Adapter<T>::Expression_Adapter(const raw_type& expr)
+ : raw_(expr) {
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::inner_type
+Expression_Adapter<T>::inner() const {
+ return inner_type(raw_);
+}
+
+template <typename T>
+inline Representation
+Expression_Adapter<T>::representation() const {
+ return inner().representation();
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::const_iterator
+Expression_Adapter<T>::begin() const {
+ return inner().begin();
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::const_iterator
+Expression_Adapter<T>::end() const {
+ return inner().end();
+}
+
+template <typename T>
+inline typename Expression_Adapter<T>::const_iterator
+Expression_Adapter<T>::lower_bound(Variable v) const {
+ return inner().lower_bound(v);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::space_dimension() const {
+ return inner().space_dimension();
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::coefficient(Variable v) const {
+ return inner().coefficient(v);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::inhomogeneous_term() const {
+ return inner().inhomogeneous_term();
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>::is_zero() const {
+ return inner().is_zero();
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>::all_homogeneous_terms_are_zero() const {
+ return inner().all_homogeneous_terms_are_zero();
+}
+
+template <typename T>
template <typename Expression>
+inline bool
+Expression_Adapter<T>::is_equal_to(const Expression& y) const {
+ return inner().is_equal_to(y);
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>
+::all_zeroes(const Variables_Set& vars) const {
+ return inner().all_zeroes(vars);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::get(dimension_type i) const {
+ return inner().get(i);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Adapter<T>::get(Variable v) const {
+ return inner().get(v);
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ return inner().all_zeroes(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ return inner().num_zeroes(start, end);
+}
+
+template <typename T>
+inline Coefficient
+Expression_Adapter<T>::gcd(dimension_type start,
+ dimension_type end) const {
+ return inner().gcd(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::last_nonzero() const {
+ return inner().last_nonzero();
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::last_nonzero(dimension_type first,
+ dimension_type last) const {
+ return inner().last_nonzero(first, last);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Adapter<T>::first_nonzero(dimension_type first,
+ dimension_type last) const {
+ return inner().first_nonzero(first, last);
+}
+
+template <typename T>
+inline bool
+Expression_Adapter<T>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const {
+ return inner().all_zeroes_except(vars, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Adapter<T>
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
+ inner().has_a_free_dimension_helper(x);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>
+::is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const {
+ return inner().is_equal_to(y, start, end);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>
+::is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ return inner().is_equal_to(y, c1, c2, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Adapter<T>::get_row(Dense_Row& row) const {
+ inner().get_row(row);
+}
+
+template <typename T>
+inline void
+Expression_Adapter<T>::get_row(Sparse_Row& row) const {
+ inner().get_row(row);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Adapter<T>
+::have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const {
+ return inner().have_a_common_variable(y, first, last);
+}
+
+template <typename T>
+inline
+Expression_Adapter_Transparent<T>
+::Expression_Adapter_Transparent(const raw_type& expr)
+ : base_type(expr) {
+}
+
+} // namespace Parma_Polyhedra_Library
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Adapter_defs.hh line 215. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_types.hh line 1. */
+
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
class Expression_Hide_Inhomo;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_types.hh line 1. */
namespace Parma_Polyhedra_Library {
-template <typename Expression>
+template <typename T>
class Expression_Hide_Last;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression.defs.hh line 51. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_defs.hh line 51. */
-/* Automatically generated from PPL source file ../src/Linear_Expression.defs.hh line 54. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_defs.hh line 54. */
namespace Parma_Polyhedra_Library {
@@ -26943,77 +27414,64 @@ std::ostream& operator<<(std::ostream& s, const Linear_Expression& e);
*/
class Parma_Polyhedra_Library::Linear_Expression {
public:
-
static const Representation default_representation = SPARSE;
//! Default constructor: returns a copy of Linear_Expression::zero().
explicit Linear_Expression(Representation r = default_representation);
- //! Ordinary copy constructor.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
+ /*! \brief Ordinary copy constructor.
+ \note
+ The new expression will have the same representation as \p e
+ (not necessarily the default_representation).
+ */
Linear_Expression(const Linear_Expression& e);
//! Copy constructor that takes also a Representation.
Linear_Expression(const Linear_Expression& e, Representation r);
- //! Copy constructor from a Expression_Hide_Inhomo.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Inhomo<Expression>& e);
-
- //! Copy constructor from a Expression_Hide_Inhomo that takes a
- //! Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- Representation r);
-
- //! Copy constructor from a Expression_Hide_Inhomo that takes a space
- //! dimension.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim);
-
- //! Copy constructor from a Expression_Hide_Inhomo that takes a
- //! space dimension and a Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim, Representation r);
+ // Queried by expression adapters.
+ typedef const Linear_Expression& const_reference;
+ typedef Linear_Expression raw_type;
- //! Copy constructor from a Expression_Hide_Last.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Last<Expression>& e);
+ /*! \brief Copy constructor from a linear expression adapter.
+ \note
+ The new expression will have the same representation as \p e
+ (not necessarily the default_representation).
+ */
+ template <typename LE_Adapter>
+ explicit
+ Linear_Expression(const LE_Adapter& e,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
- //! Copy constructor from a Expression_Hide_Last that takes a
- //! Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Last<Expression>& e,
- Representation r);
+ /*! \brief Copy constructor from a linear expression adapter that takes a
+ Representation.
+ */
+ template <typename LE_Adapter>
+ Linear_Expression(const LE_Adapter& e, Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
- //! Copy constructor from a Expression_Hide_Last that takes a space
- //! dimension.
- //! Note that the representation of the new expression will be e's
- //! representation and not necessarily default_representation, so that
- //! the copy and e are indistinguishable.
- template <typename Expression>
- explicit Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim);
+ /*! \brief
+ Copy constructor from a linear expression adapter that takes a
+ space dimension.
+ \note
+ The new expression will have the same representation as \p e
+ (not necessarily default_representation).
+ */
+ template <typename LE_Adapter>
+ explicit
+ Linear_Expression(const LE_Adapter& e, dimension_type space_dim,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
- //! Copy constructor from a Expression_Hide_Last that takes a
- //! space dimension and a Representation.
- template <typename Expression>
- Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim, Representation r);
+ /*! \brief
+ Copy constructor from a linear expression adapter that takes a
+ space dimension and a Representation.
+ */
+ template <typename LE_Adapter>
+ Linear_Expression(const LE_Adapter& e,
+ dimension_type space_dim, Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type = 0);
+ //! Assignment operator.
Linear_Expression& operator=(const Linear_Expression& e);
//! Destructor.
@@ -27034,114 +27492,6 @@ public:
*/
Linear_Expression(Variable v, Representation r = default_representation);
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to constraint \p c.
- /*!
- Given the constraint
- \f$c = \bigl(\sum_{i=0}^{n-1} a_i x_i + b \relsym 0\bigr)\f$,
- where \f$\mathord{\relsym} \in \{ =, \geq, > \}\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
- If \p c is an inequality (resp., equality) constraint, then
- the built linear expression is unique up to a positive
- (resp., non-zero) factor.
-
- The constructed Linear_Expression has the same representation as \p c.
- */
- explicit Linear_Expression(const Constraint& c);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to constraint \p c.
- /*!
- Given the constraint
- \f$c = \bigl(\sum_{i=0}^{n-1} a_i x_i + b \relsym 0\bigr)\f$,
- where \f$\mathord{\relsym} \in \{ =, \geq, > \}\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
- If \p c is an inequality (resp., equality) constraint, then
- the built linear expression is unique up to a positive
- (resp., non-zero) factor.
- */
- explicit Linear_Expression(const Constraint& c, Representation r);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to generator \p g
- (for points and closure points, the divisor is not copied).
-
- Given the generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- (where, for lines and rays, we have \f$d = 1\f$),
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression will always be 0.
- If \p g is a ray, point or closure point (resp., a line), then
- the linear expression is unique up to a positive
- (resp., non-zero) factor.
-
- The constructed Linear_Expression has the same representation as \p g.
- */
- explicit Linear_Expression(const Generator& g);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to generator \p g
- (for points and closure points, the divisor is not copied).
-
- Given the generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- (where, for lines and rays, we have \f$d = 1\f$),
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression will always be 0.
- If \p g is a ray, point or closure point (resp., a line), then
- the linear expression is unique up to a positive
- (resp., non-zero) factor.
- */
- explicit Linear_Expression(const Generator& g, Representation r);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to grid generator \p g
- (for points, parameters and lines the divisor is not copied).
-
- Given the grid generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression is always 0.
-
- The constructed Linear_Expression has the same representation as \p g.
- */
- explicit Linear_Expression(const Grid_Generator& g);
-
- // TODO: Consider removing this.
- /*! \brief
- Builds the linear expression corresponding to grid generator \p g
- (for points, parameters and lines the divisor is not copied).
-
- Given the grid generator
- \f$g = (\frac{a_0}{d}, \ldots, \frac{a_{n-1}}{d})^\transpose\f$
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i\f$.
- The inhomogeneous term of the linear expression is always 0.
- */
- explicit Linear_Expression(const Grid_Generator& g, Representation r);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to congruence \p cg.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
-
- The constructed Linear_Expression has the same representation as \p cg.
- */
- explicit Linear_Expression(const Congruence& cg);
-
- // TODO: Consider removing this.
- //! Builds the linear expression corresponding to congruence \p cg.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression \f$\sum_{i=0}^{n-1} a_i x_i + b\f$.
- */
- explicit Linear_Expression(const Congruence& cg, Representation r);
-
//! Returns the current representation of *this.
Representation representation() const;
@@ -27424,29 +27774,6 @@ private:
Linear_Expression(dimension_type space_dim, bool,
Representation r = default_representation);
- //! Builds the linear expression corresponding to congruence \p cg, and
- //! with the specified space dimension.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression
- \f$\sum_{i=0}^{space_dim-1} a_i x_i + b\f$.
-
- The constructed Linear_Expression has the same representation as \p cg.
- */
- Linear_Expression(const Congruence& cg, dimension_type space_dim);
-
- //! Builds the linear expression corresponding to congruence \p cg, and
- //! with the specified space dimension.
- /*!
- Given the congruence
- \f$cg = \bigl(\sum_{i=0}^{n-1} a_i x_i + b = 0 \pmod{m}\bigr)\f$,
- this builds the linear expression
- \f$\sum_{i=0}^{space_dim-1} a_i x_i + b\f$.
- */
- Linear_Expression(const Congruence& cg, dimension_type space_dim,
- Representation r);
-
// NOTE: This method is public, but it's not exposed in Linear_Expression,
// so that it can be used internally in the PPL, by friends of
// Linear_Expression.
@@ -27539,8 +27866,8 @@ private:
dimension_type first_nonzero(dimension_type first, dimension_type last) const;
/*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
*/
bool all_zeroes_except(const Variables_Set& vars,
dimension_type start, dimension_type end) const;
@@ -27626,6 +27953,8 @@ private:
template <typename T>
friend class Box;
template <typename T>
+ friend class Expression_Adapter;
+ template <typename T>
friend class Expression_Hide_Inhomo;
template <typename T>
friend class Expression_Hide_Last;
@@ -27721,903 +28050,12 @@ void swap(Linear_Expression::const_iterator& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_inlines.hh line 1. */
/* Linear_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.defs.hh line 1. */
-/* Expression_Hide_Inhomo class declaration.
-*/
-
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.defs.hh line 28. */
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.defs.hh line 32. */
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A Linear_Expression-like object that hides the inhomogeneous term.
-//! The methods of this class always pretend that it's 0.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Expression>
-class Parma_Polyhedra_Library::Expression_Hide_Inhomo {
-public:
-
- //! Wraps `expr'. Note that `expr' must not be destroyed as long as this
- //! object is alive.
- explicit Expression_Hide_Inhomo(Expression& expr);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- typedef typename Expression::const_iterator const_iterator;
-
- //! Returns an iterator that points to the first nonzero coefficient in the
- //! expression.
- const_iterator begin() const;
-
- //! Returns an iterator that points to the last nonzero coefficient in the
- //! expression.
- const_iterator end() const;
-
- //! Returns an iterator that points to the first nonzero coefficient of a
- //! variable bigger than or equal to v.
- const_iterator lower_bound(Variable v) const;
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Returns the coefficient of \p v in \p *this.
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- bool is_zero() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- bool all_homogeneous_terms_are_zero() const;
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- template <typename Expression2>
- bool is_equal_to(const Expression2& x) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- bool all_zeroes(const Variables_Set& vars) const;
-
-private:
- Expression& expr;
-
- //! Returns the i-th coefficient.
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- //! Returns the coefficient of v.
- Coefficient_traits::const_reference get(Variable v) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- bool all_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- dimension_type num_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- Coefficient gcd(dimension_type start, dimension_type end) const;
-
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- dimension_type last_nonzero() const;
-
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- dimension_type last_nonzero(dimension_type first, dimension_type last) const;
-
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- dimension_type first_nonzero(dimension_type first, dimension_type last) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- bool all_zeroes_except(const Variables_Set& vars, dimension_type start, dimension_type end) const;
-
- //! Removes from the set x all the indexes of nonzero elements of *this.
- void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Dense_Row& row) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Sparse_Row& row) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- template <typename Expression2>
- bool have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const;
-
- // NOTE: The following classes are friends of Expression_Hide_Inhomo in
- // order to access its private methods.
- template <typename T>
- friend class Linear_System;
- friend class Box_Helpers;
- template <typename T>
- friend class Expression_Hide_Inhomo;
- template <typename T>
- friend class Expression_Hide_Last;
-};
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.inlines.hh line 1. */
-/* Expression_Hide_Inhomo class implementation: inline functions.
-*/
-
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.inlines.hh line 29. */
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Expression>
-inline
-Expression_Hide_Inhomo<Expression>
-::Expression_Hide_Inhomo(Expression& expr)
- : expr(expr) {
-}
-
-template <typename Expression>
-inline Representation
-Expression_Hide_Inhomo<Expression>::representation() const {
- return expr.representation();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Inhomo<Expression>::const_iterator
-Expression_Hide_Inhomo<Expression>::begin() const {
- return expr.begin();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Inhomo<Expression>::const_iterator
-Expression_Hide_Inhomo<Expression>::end() const {
- return expr.end();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Inhomo<Expression>::const_iterator
-Expression_Hide_Inhomo<Expression>::lower_bound(Variable v) const {
- return expr.lower_bound(v);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::space_dimension() const {
- return expr.space_dimension();
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::coefficient(Variable v) const {
- return expr.coefficient(v);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::inhomogeneous_term() const {
- return Coefficient_zero();
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::is_zero() const {
- // Don't check the inhomogeneous_term (i.e. pretend it's 0).
- return expr.all_homogeneous_terms_are_zero();
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::all_homogeneous_terms_are_zero() const {
- return expr.all_homogeneous_terms_are_zero();
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::is_equal_to(const Expression2& x) const {
- const dimension_type dim1 = space_dimension();
- const dimension_type dim2 = x.space_dimension();
- if (dim1 != dim2)
- return false;
- if (x.inhomogeneous_term() != 0)
- return false;
- // Note that the inhomogeneous term is not compared.
- return expr.is_equal_to(x, 1, dim1 + 1);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>::is_equal_to(const Expression2& x) const {
- const dimension_type dim1 = space_dimension();
- const dimension_type dim2 = x.space_dimension();
- if (dim1 != dim2)
- return false;
- if (x.inhomogeneous_term() != 0)
- return false;
- // Note that the inhomogeneous term is not compared.
- return x.is_equal_to(expr, 1, dim1 + 1);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::all_zeroes(const Variables_Set& vars) const {
- return expr.all_zeroes(vars);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::get(dimension_type i) const {
- if (i == 0)
- return Coefficient_zero();
- else
- return expr.get(i);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Inhomo<Expression>::get(Variable v) const {
- return expr.get(v);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>::all_zeroes(dimension_type start,
- dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.all_zeroes(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::num_zeroes(dimension_type start,
- dimension_type end) const {
- if (start == end)
- return 0;
- if (start == 0)
- return 1 + expr.num_zeroes(start + 1, end);
- else
- return expr.num_zeroes(start, end);
-}
-
-template <typename Expression>
-inline Coefficient
-Expression_Hide_Inhomo<Expression>::gcd(dimension_type start,
- dimension_type end) const {
- if (start == end)
- return Coefficient_zero();
- if (start == 0)
- ++start;
- return expr.gcd(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::last_nonzero() const {
- return expr.last_nonzero();
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::last_nonzero(dimension_type first,
- dimension_type last) const {
- return expr.last_nonzero(first, last);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Inhomo<Expression>::first_nonzero(dimension_type first,
- dimension_type last) const {
- if (first == last)
- return last;
- if (first == 0)
- ++first;
- return expr.first_nonzero(first, last);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.all_zeroes_except(vars, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Inhomo<Expression>
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
- bool had_0 = (x.count(0) == 1);
- expr.has_a_free_dimension_helper(x);
- if (had_0)
- x.insert(0);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.is_equal_to(x, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return x.is_equal_to(expr, start, end);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return expr.is_equal_to(x, c1, c2, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- if (start == end)
- return true;
- if (start == 0)
- ++start;
- return x.is_equal_to(expr, c2, c1, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Inhomo<Expression>::get_row(Dense_Row& row) const {
- expr.get_row(row);
- row.reset(0);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Inhomo<Expression>::get_row(Sparse_Row& row) const {
- expr.get_row(row);
- row.reset(0);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- return expr.have_a_common_variable(x, first, last);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Inhomo<Linear_Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- return x.have_a_common_variable(expr, first, last);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Inhomo.defs.hh line 175. */
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.defs.hh line 1. */
-/* Expression_Hide_Last class declaration.
-*/
-
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.defs.hh line 28. */
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.defs.hh line 32. */
-
-#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-//! A Linear_Expression-like object that may or may not hide the last
-//! coefficient.
-#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
-template <typename Expression>
-class Parma_Polyhedra_Library::Expression_Hide_Last {
-public:
-
- //! Wraps `expr'. Note that `expr' must not be destroyed as long as this
- //! object is alive.
- explicit Expression_Hide_Last(Expression& expr, bool hide_last = false);
-
- void set_hide_last(bool hide_last);
-
- //! Returns the current representation of *this.
- Representation representation() const;
-
- typedef typename Expression::const_iterator const_iterator;
-
- //! Returns an iterator that points to the first nonzero coefficient in the
- //! expression.
- const_iterator begin() const;
-
- //! Returns an iterator that points to the last nonzero coefficient in the
- //! expression.
- const_iterator end() const;
-
- //! Returns an iterator that points to the first nonzero coefficient of a
- //! variable bigger than or equal to v.
- const_iterator lower_bound(Variable v) const;
-
- //! Returns the dimension of the vector space enclosing \p *this.
- dimension_type space_dimension() const;
-
- //! Returns the coefficient of \p v in \p *this.
- Coefficient_traits::const_reference coefficient(Variable v) const;
-
- //! Returns the inhomogeneous term of \p *this.
- Coefficient_traits::const_reference inhomogeneous_term() const;
-
- //! Returns <CODE>true</CODE> if and only if \p *this is \f$0\f$.
- bool is_zero() const;
-
- /*! \brief
- Returns <CODE>true</CODE> if and only if all the homogeneous
- terms of \p *this are \f$0\f$.
- */
- bool all_homogeneous_terms_are_zero() const;
-
- //! Returns \p true if *this is equal to \p x.
- //! Note that (*this == x) has a completely different meaning.
- template <typename Expression2>
- bool is_equal_to(const Expression2& x) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if the coefficient of each variable in
- \p vars[i] is \f$0\f$.
- */
- bool all_zeroes(const Variables_Set& vars) const;
-
-private:
- Expression& expr;
- bool hide_last;
-
- //! Returns the i-th coefficient.
- Coefficient_traits::const_reference get(dimension_type i) const;
-
- //! Returns the coefficient of v.
- Coefficient_traits::const_reference get(Variable v) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if (*this)[i] is \f$0\f$, for each i in
- [start, end).
- */
- bool all_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the number of zero coefficient in [start, end).
- */
- dimension_type num_zeroes(dimension_type start, dimension_type end) const;
-
- /*! \brief
- Returns the gcd of the nonzero coefficients in [start,end). If all the
- coefficients in this range are 0 returns 0.
- */
- Coefficient gcd(dimension_type start, dimension_type end) const;
-
- //! Returns the index of the last nonzero element, or 0 if there are no
- //! nonzero elements.
- dimension_type last_nonzero() const;
-
- //! Returns the index of the last nonzero element in [first,last), or last
- //! if there are no nonzero elements.
- dimension_type last_nonzero(dimension_type first, dimension_type last) const;
-
- //! Returns the index of the first nonzero element, or \p last if there are no
- //! nonzero elements, considering only elements in [first,last).
- dimension_type first_nonzero(dimension_type first, dimension_type last) const;
-
- /*! \brief
- Returns <CODE>true</CODE> if each coefficient in [start,end) is *not* in
- \f$0\f$, disregarding coefficients of variables in \p vars.
- */
- bool all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const;
-
- //! Removes from the set x all the indexes of nonzero elements of *this.
- void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
-
- //! Returns \p true if (*this)[i] is equal to x[i], for each i in [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const;
-
- //! Returns \p true if (*this)[i]*c1 is equal to x[i]*c2, for each i in
- //! [start,end).
- template <typename Expression2>
- bool is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Dense_Row& row) const;
-
- //! Sets `row' to a copy of the row that implements *this.
- void get_row(Sparse_Row& row) const;
-
- //! Returns true if there is a variable in [first,last) whose coefficient
- //! is nonzero in both *this and x.
- template <typename Expression2>
- bool have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const;
-
- // NOTE: The following classes are friends of Expression_Hide_Last in
- // order to access its private methods.
- template <typename T>
- friend class Linear_System;
- friend class Box_Helpers;
- template <typename T>
- friend class Expression_Hide_Inhomo;
- template <typename T>
- friend class Expression_Hide_Last;
- friend class PIP_Problem;
- friend class MIP_Problem;
- template <typename T>
- friend class BD_Shape;
- friend class BHRZ03_Certificate;
- template <typename T>
- friend class Box;
- friend class Grid;
- template <typename T>
- friend class Octagonal_Shape;
- friend class Polyhedron;
- friend class Octagonal_Shape_Helper;
- friend class BD_Shape_Helpers;
-};
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.inlines.hh line 1. */
-/* Expression_Hide_Last class implementation: inline functions.
-*/
-
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.inlines.hh line 28. */
-
-namespace Parma_Polyhedra_Library {
-
-template <typename Expression>
-inline
-Expression_Hide_Last<Expression>
-::Expression_Hide_Last(Expression& expr, bool hide_last)
- : expr(expr), hide_last(hide_last) {
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>::set_hide_last(bool hide_last) {
- this->hide_last = hide_last;
-}
-
-template <typename Expression>
-inline Representation
-Expression_Hide_Last<Expression>::representation() const {
- return expr.representation();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Last<Expression>::const_iterator
-Expression_Hide_Last<Expression>::begin() const {
- return expr.begin();
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Last<Expression>::const_iterator
-Expression_Hide_Last<Expression>::end() const {
- if (hide_last) {
- PPL_ASSERT(expr.space_dimension() != 0);
- return expr.lower_bound(Variable(expr.space_dimension() - 1));
- } else {
- return expr.end();
- }
-}
-
-template <typename Expression>
-inline typename Expression_Hide_Last<Expression>::const_iterator
-Expression_Hide_Last<Expression>::lower_bound(Variable v) const {
- PPL_ASSERT(v.space_dimension() <= space_dimension() + 1);
- return expr.lower_bound(v);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::space_dimension() const {
- if (hide_last) {
- PPL_ASSERT(expr.space_dimension() != 0);
- return expr.space_dimension() - 1;
- } else
- return expr.space_dimension();
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::coefficient(Variable v) const {
- PPL_ASSERT(v.space_dimension() <= space_dimension());
- return expr.coefficient(v);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::inhomogeneous_term() const {
- return expr.inhomogeneous_term();
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::is_zero() const {
- return expr.all_zeroes(0, space_dimension() + 1);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::all_homogeneous_terms_are_zero() const {
- return expr.all_zeroes(1, space_dimension() + 1);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::is_equal_to(const Expression2& x) const {
- const dimension_type dim1 = space_dimension();
- const dimension_type dim2 = x.space_dimension();
- if (dim1 != dim2)
- return false;
- return is_equal_to(x, 0, dim1 + 1);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::all_zeroes(const Variables_Set& vars) const {
- PPL_ASSERT(vars.space_dimension() <= space_dimension());
- return expr.all_zeroes(vars);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::get(dimension_type i) const {
- PPL_ASSERT(i <= space_dimension());
- return expr.get(i);
-}
-
-template <typename Expression>
-inline Coefficient_traits::const_reference
-Expression_Hide_Last<Expression>::get(Variable v) const {
- PPL_ASSERT(v.space_dimension() <= space_dimension());
- return expr.get(v);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>::all_zeroes(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.all_zeroes(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::num_zeroes(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.num_zeroes(start, end);
-}
-
-template <typename Expression>
-inline Coefficient
-Expression_Hide_Last<Expression>::gcd(dimension_type start,
- dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.gcd(start, end);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::last_nonzero() const {
- return expr.last_nonzero(0, space_dimension() + 1);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::last_nonzero(dimension_type first,
- dimension_type last) const {
- PPL_ASSERT(last <= space_dimension() + 1);
- return expr.last_nonzero(first, last);
-}
-
-template <typename Expression>
-inline dimension_type
-Expression_Hide_Last<Expression>::first_nonzero(dimension_type first,
- dimension_type last) const {
- PPL_ASSERT(last <= space_dimension() + 1);
- return expr.first_nonzero(first, last);
-}
-
-template <typename Expression>
-inline bool
-Expression_Hide_Last<Expression>
-::all_zeroes_except(const Variables_Set& vars,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- return expr.all_zeroes_except(vars, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>
-::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
- if (x.empty())
- return;
- const dimension_type max_dim = *(x.end());
- PPL_ASSERT(max_dim <= space_dimension());
- expr.has_a_free_dimension_helper(x);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return expr.is_equal_to(x, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Linear_Expression>
-::is_equal_to(const Expression2& x,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return x.is_equal_to(expr, start, end);
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return expr.is_equal_to(x, c1, c2, start, end);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Linear_Expression>
-::is_equal_to(const Expression2& x,
- Coefficient_traits::const_reference c1,
- Coefficient_traits::const_reference c2,
- dimension_type start, dimension_type end) const {
- PPL_ASSERT(end <= space_dimension() + 1);
- PPL_ASSERT(end <= x.space_dimension() + 1);
- return x.is_equal_to(expr, c2, c1, start, end);
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>::get_row(Dense_Row& row) const {
- expr.get_row(row);
- if (hide_last) {
- PPL_ASSERT(row.size() != 0);
- row.resize(row.size() - 1);
- }
-}
-
-template <typename Expression>
-inline void
-Expression_Hide_Last<Expression>::get_row(Sparse_Row& row) const {
- expr.get_row(row);
- if (hide_last) {
- PPL_ASSERT(row.size() != 0);
- row.resize(row.size() - 1);
- }
-}
-
-template <typename Expression>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- PPL_ASSERT(last.space_dimension() <= space_dimension() + 1);
- PPL_ASSERT(last.space_dimension() <= x.space_dimension() + 1);
- return expr.have_a_common_variable(x, first, last);
-}
-
-template <>
-template <typename Expression2>
-inline bool
-Expression_Hide_Last<Linear_Expression>
-::have_a_common_variable(const Expression2& x,
- Variable first, Variable last) const {
- PPL_ASSERT(last.space_dimension() <= space_dimension() + 1);
- PPL_ASSERT(last.space_dimension() <= x.space_dimension() + 1);
- return x.have_a_common_variable(expr, first, last);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-/* Automatically generated from PPL source file ../src/Expression_Hide_Last.defs.hh line 192. */
-
-/* Automatically generated from PPL source file ../src/Linear_Expression.inlines.hh line 29. */
-
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -28751,7 +28189,8 @@ operator-(const Variable v, const Variable w) {
Linear_Expression e(v);
e -= w;
return e;
- } else {
+ }
+ else {
Linear_Expression e(w.space_dimension(), true);
e -= w;
e += v;
@@ -28819,7 +28258,8 @@ operator+(const Linear_Expression& e1, const Linear_Expression& e2) {
Linear_Expression e = e1;
e += e2;
return e;
- } else {
+ }
+ else {
Linear_Expression e = e2;
e += e1;
return e;
@@ -28854,7 +28294,8 @@ operator+(const Variable v, const Variable w) {
Linear_Expression e(v);
e += w;
return e;
- } else {
+ }
+ else {
Linear_Expression e(w);
e += v;
return e;
@@ -28876,7 +28317,8 @@ operator-(const Linear_Expression& e1, const Linear_Expression& e2) {
Linear_Expression e = e1;
e -= e2;
return e;
- } else {
+ }
+ else {
Linear_Expression e = e2;
neg_assign(e);
e += e1;
@@ -28969,8 +28411,8 @@ neg_assign(Linear_Expression& e) {
/*! \relates Parma_Polyhedra_Library::Linear_Expression */
inline Linear_Expression&
add_mul_assign(Linear_Expression& e,
- Coefficient_traits::const_reference n,
- const Variable v) {
+ Coefficient_traits::const_reference n,
+ const Variable v) {
e.impl->add_mul_assign(n, v);
return e;
}
@@ -28986,8 +28428,8 @@ sub_mul_assign(Linear_Expression& e,
inline void
add_mul_assign(Linear_Expression& e1,
- Coefficient_traits::const_reference factor,
- const Linear_Expression& e2) {
+ Coefficient_traits::const_reference factor,
+ const Linear_Expression& e2) {
e1.impl->add_mul_assign(factor, *e2.impl);
}
@@ -29065,7 +28507,9 @@ Linear_Expression::all_zeroes(const Variables_Set& vars) const {
}
inline bool
-Linear_Expression::all_zeroes_except(const Variables_Set& vars, dimension_type start, dimension_type end) const {
+Linear_Expression::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start,
+ dimension_type end) const {
return impl->all_zeroes_except(vars, start, end);
}
@@ -29306,111 +28750,47 @@ Linear_Expression
return const_iterator(impl->lower_bound(v));
}
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e)
- : impl(NULL) {
- Linear_Expression tmp(e.representation());
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
+template <typename LE_Adapter>
inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e, Representation r)
- : impl(NULL) {
- Linear_Expression tmp(r);
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim)
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
: impl(NULL) {
Linear_Expression tmp(e.representation());
tmp.set_space_dimension(e.space_dimension());
tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- itr_t i_end;
- if (space_dim <= e.space_dimension())
- i_end = e.lower_bound(Variable(space_dim));
- else
- i_end = e.end();
- for (itr_t i = e.begin(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Inhomo<Expression>& e,
- dimension_type space_dim, Representation r)
- : impl(NULL) {
- Linear_Expression tmp(r);
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Inhomo<Expression>::const_iterator itr_t;
- itr_t i_end;
- if (space_dim <= e.space_dimension())
- i_end = e.lower_bound(Variable(space_dim));
- else
- i_end = e.end();
- for (itr_t i = e.begin(); i != i_end; ++i)
- add_mul_assign(tmp, i.variable(), *i);
-}
-
-template <typename Expression>
-inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e)
- : impl(NULL) {
- using std::swap;
- Linear_Expression tmp(e.representation());
- tmp.set_space_dimension(e.space_dimension());
- tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
+ for (typename LE_Adapter::const_iterator i = e.begin(),
+ i_end = e.end(); i != i_end; ++i)
add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
swap(impl, tmp.impl);
}
-template <typename Expression>
+template <typename LE_Adapter>
inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e, Representation r)
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
: impl(NULL) {
- using std::swap;
Linear_Expression tmp(r);
tmp.set_space_dimension(e.space_dimension());
tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
- for (itr_t i = e.begin(), i_end = e.end(); i != i_end; ++i)
+ for (typename LE_Adapter::const_iterator i = e.begin(),
+ i_end = e.end(); i != i_end; ++i)
add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
swap(impl, tmp.impl);
}
-template <typename Expression>
+template <typename LE_Adapter>
inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim)
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ dimension_type space_dim,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
: impl(NULL) {
- using std::swap;
Linear_Expression tmp(e.representation());
tmp.set_space_dimension(space_dim);
tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
+ typedef typename LE_Adapter::const_iterator itr_t;
itr_t i_end;
if (space_dim <= e.space_dimension())
i_end = e.lower_bound(Variable(space_dim));
@@ -29418,20 +28798,21 @@ Linear_Expression
i_end = e.end();
for (itr_t i = e.begin(); i != i_end; ++i)
add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
swap(impl, tmp.impl);
}
-template <typename Expression>
+template <typename LE_Adapter>
inline
-Linear_Expression
-::Linear_Expression(const Expression_Hide_Last<Expression>& e,
- dimension_type space_dim, Representation r)
+Linear_Expression::Linear_Expression(const LE_Adapter& e,
+ dimension_type space_dim,
+ Representation r,
+ typename Enable_If<Is_Same_Or_Derived<Expression_Adapter_Base, LE_Adapter>::value, void*>::type)
: impl(NULL) {
- using std::swap;
Linear_Expression tmp(r);
tmp.set_space_dimension(space_dim);
tmp.set_inhomogeneous_term(e.inhomogeneous_term());
- typedef typename Expression_Hide_Last<Expression>::const_iterator itr_t;
+ typedef typename LE_Adapter::const_iterator itr_t;
itr_t i_end;
if (space_dim <= e.space_dimension())
i_end = e.lower_bound(Variable(space_dim));
@@ -29439,6 +28820,7 @@ Linear_Expression
i_end = e.end();
for (itr_t i = e.begin(); i != i_end; ++i)
add_mul_assign(tmp, *i, i.variable());
+ using std::swap;
swap(impl, tmp.impl);
}
@@ -29468,9 +28850,9 @@ swap(Linear_Expression::const_iterator& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression.defs.hh line 1069. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_defs.hh line 927. */
-/* Automatically generated from PPL source file ../src/Topology.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Topology_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -29486,7 +28868,367 @@ enum Topology {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constraint.defs.hh line 40. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_defs.hh line 1. */
+/* Expression_Hide_Last class declaration.
+*/
+
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_defs.hh line 28. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_defs.hh line 32. */
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+//! An adapter for Linear_Expression that maybe hides the last coefficient.
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Hide_Last
+ : public Expression_Adapter<T> {
+ typedef Expression_Adapter<T> base_type;
+public:
+ //! The type of this object.
+ typedef Expression_Hide_Last<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename base_type::inner_type inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename base_type::raw_type raw_type;
+
+ //! The type of const iterators on coefficients.
+ typedef typename base_type::const_iterator const_iterator;
+
+ //! Constructor.
+ explicit Expression_Hide_Last(const raw_type& expr, bool hide_last);
+
+ //! Iterator pointing after the last nonzero variable coefficient.
+ const_iterator end() const;
+
+ //! Iterator pointing to the first nonzero variable coefficient
+ //! of a variable bigger than or equal to \p v.
+ const_iterator lower_bound(Variable v) const;
+
+ //! Returns the dimension of the vector space enclosing \p *this.
+ dimension_type space_dimension() const;
+
+ //! Returns the coefficient of \p v in \p *this.
+ Coefficient_traits::const_reference coefficient(Variable v) const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is zero.
+ bool is_zero() const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if and only if all the homogeneous
+ terms of \p *this are zero.
+ */
+ bool all_homogeneous_terms_are_zero() const;
+
+ /*! \brief Returns \p true if \p *this is equal to \p y.
+
+ Note that <CODE>(*this == y)</CODE> has a completely different meaning.
+ */
+ template <typename Expression>
+ bool is_equal_to(const Expression& y) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars is zero.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+ //! Returns the \p i -th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Returns the coefficient of variable \p v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is zero,
+ for each i in [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ //! Returns the number of zero coefficient in [start, end).
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end).
+ Returns zero if all the coefficients in the range are zero.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ //! Returns the index of the last nonzero element, or zero if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last),
+ //! or \p last if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there are no
+ //! nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from set \p x all the indexes of nonzero elements in \p *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \c true if <CODE>(*this)[i]</CODE> is equal to <CODE>y[i]</CODE>,
+ //! for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \c true if <CODE>(*this)[i]*c1</CODE> is equal to
+ //! <CODE>y[i]*c2</CODE>, for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Sparse_Row& row) const;
+
+ //! Returns \c true if there is a variable in [first,last) whose coefficient
+ //! is nonzero in both \p *this and \p y.
+ template <typename Expression>
+ bool have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const;
+
+private:
+ //! Whether or not the last coefficient is hidden.
+ const bool hide_last_;
+};
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_inlines.hh line 1. */
+/* Expression_Hide_Last class implementation: inline functions.
+*/
+
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_inlines.hh line 28. */
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+inline
+Expression_Hide_Last<T>::Expression_Hide_Last(const raw_type& expr,
+ const bool hide_last)
+ : base_type(expr), hide_last_(hide_last) {
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::space_dimension() const {
+ dimension_type dim = this->inner().space_dimension();
+ if (hide_last_) {
+ PPL_ASSERT(dim > 0);
+ --dim;
+ }
+ return dim;
+}
+
+template <typename T>
+inline typename Expression_Hide_Last<T>::const_iterator
+Expression_Hide_Last<T>::end() const {
+ if (hide_last_) {
+ return this->inner().lower_bound(Variable(space_dimension()));
+ }
+ else {
+ return this->inner().end();
+ }
+}
+
+template <typename T>
+inline typename Expression_Hide_Last<T>::const_iterator
+Expression_Hide_Last<T>::lower_bound(Variable v) const {
+ PPL_ASSERT(v.space_dimension() <= space_dimension() + 1);
+ return this->inner().lower_bound(v);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Last<T>::coefficient(Variable v) const {
+ PPL_ASSERT(v.space_dimension() <= space_dimension());
+ return this->inner().coefficient(v);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::is_zero() const {
+ return this->inner().all_zeroes(0, space_dimension() + 1);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::all_homogeneous_terms_are_zero() const {
+ return this->inner().all_zeroes(1, space_dimension() + 1);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::is_equal_to(const Expression& y) const {
+ const dimension_type x_dim = space_dimension();
+ const dimension_type y_dim = y.space_dimension();
+ if (x_dim != y_dim)
+ return false;
+ return is_equal_to(y, 0, x_dim + 1);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::all_zeroes(const Variables_Set& vars) const {
+ PPL_ASSERT(vars.space_dimension() <= space_dimension());
+ return this->inner().all_zeroes(vars);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Last<T>::get(dimension_type i) const {
+ PPL_ASSERT(i <= space_dimension());
+ return this->inner().get(i);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Last<T>::get(Variable v) const {
+ PPL_ASSERT(v.space_dimension() <= space_dimension());
+ return this->inner().get(v);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().all_zeroes(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().num_zeroes(start, end);
+}
+
+template <typename T>
+inline Coefficient
+Expression_Hide_Last<T>::gcd(dimension_type start,
+ dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().gcd(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::last_nonzero() const {
+ return this->inner().last_nonzero(0, space_dimension() + 1);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::last_nonzero(dimension_type first,
+ dimension_type last) const {
+ PPL_ASSERT(last <= space_dimension() + 1);
+ return this->inner().last_nonzero(first, last);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Last<T>::first_nonzero(dimension_type first,
+ dimension_type last) const {
+ PPL_ASSERT(last <= space_dimension() + 1);
+ return this->inner().first_nonzero(first, last);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Last<T>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ return this->inner().all_zeroes_except(vars, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Last<T>
+::has_a_free_dimension_helper(std::set<dimension_type>& x) const {
+ if (x.empty())
+ return;
+ PPL_ASSERT(*(--x.end()) <= space_dimension());
+ this->inner().has_a_free_dimension_helper(x);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ PPL_ASSERT(end <= y.space_dimension() + 1);
+ return this->inner().is_equal_to(y, start, end);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ PPL_ASSERT(end <= space_dimension() + 1);
+ PPL_ASSERT(end <= y.space_dimension() + 1);
+ return this->inner().is_equal_to(y, c1, c2, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Last<T>::get_row(Dense_Row& row) const {
+ this->inner().get_row(row);
+ if (hide_last_) {
+ PPL_ASSERT(row.size() != 0);
+ row.resize(row.size() - 1);
+ }
+}
+
+template <typename T>
+inline void
+Expression_Hide_Last<T>::get_row(Sparse_Row& row) const {
+ this->inner().get_row(row);
+ if (hide_last_) {
+ PPL_ASSERT(row.size() != 0);
+ row.resize(row.size() - 1);
+ }
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Last<T>
+::have_a_common_variable(const Expression& y,
+ Variable first, Variable last) const {
+ PPL_ASSERT(last.space_dimension() <= space_dimension() + 1);
+ PPL_ASSERT(last.space_dimension() <= y.space_dimension() + 1);
+ return this->inner().have_a_common_variable(y, first, last);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Last_defs.hh line 164. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_defs.hh line 40. */
#include <iosfwd>
@@ -29967,13 +29709,10 @@ public:
*/
static const Constraint& epsilon_leq_one();
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Expression_Hide_Last<Linear_Expression> Expression;
-
- //! Allows user code to read the constraint's expression (but note that the
- //! return type is not Linear_Expression, not all operations are allowed).
- const Expression& expression() const;
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Hide_Last<Linear_Expression> expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
private:
@@ -29985,8 +29724,6 @@ private:
Linear_Expression expr;
- Expression wrapped_expr;
-
Kind kind_;
Topology topology_;
@@ -30109,8 +29846,8 @@ private:
*/
void
throw_dimension_incompatible(const char* method,
- const char* name_var,
- Variable v) const;
+ const char* name_var,
+ Variable v) const;
//! Returns the epsilon coefficient. The constraint must be NNC.
Coefficient_traits::const_reference epsilon_coefficient() const;
@@ -30286,13 +30023,12 @@ void swap(Constraint& x, Constraint& y);
} // namespace Parma_Polyhedra_Library
-
-/* Automatically generated from PPL source file ../src/Constraint.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_inlines.hh line 1. */
/* Constraint class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Constraint.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -30306,9 +30042,14 @@ Constraint::is_not_necessarily_closed() const {
return !is_necessarily_closed();
}
+inline Constraint::expr_type
+Constraint::expression() const {
+ return expr_type(expr, is_not_necessarily_closed());
+}
+
inline dimension_type
Constraint::space_dimension() const {
- return wrapped_expr.space_dimension();
+ return expression().space_dimension();
}
inline void
@@ -30348,11 +30089,10 @@ Constraint::set_topology(Topology x) {
if (topology() == NECESSARILY_CLOSED) {
// Add a column for the epsilon dimension.
expr.set_space_dimension(expr.space_dimension() + 1);
- wrapped_expr.set_hide_last(true);
- } else {
+ }
+ else {
PPL_ASSERT(expr.space_dimension() != 0);
expr.set_space_dimension(expr.space_dimension() - 1);
- wrapped_expr.set_hide_last(false);
}
topology_ = x;
}
@@ -30361,14 +30101,12 @@ inline void
Constraint::mark_as_necessarily_closed() {
PPL_ASSERT(is_not_necessarily_closed());
topology_ = NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(false);
}
inline void
Constraint::mark_as_not_necessarily_closed() {
PPL_ASSERT(is_necessarily_closed());
topology_ = NOT_NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(true);
}
inline void
@@ -30384,7 +30122,6 @@ Constraint::set_not_necessarily_closed() {
inline
Constraint::Constraint(Representation r)
: expr(r),
- wrapped_expr(expr, false),
kind_(RAY_OR_POINT_OR_INEQUALITY),
topology_(NECESSARILY_CLOSED) {
PPL_ASSERT(OK());
@@ -30394,7 +30131,6 @@ inline
Constraint::Constraint(dimension_type space_dim, Kind kind, Topology topology,
Representation r)
: expr(r),
- wrapped_expr(expr, topology == NOT_NECESSARILY_CLOSED),
kind_(kind),
topology_(topology) {
expr.set_space_dimension(space_dim + 1);
@@ -30404,8 +30140,7 @@ Constraint::Constraint(dimension_type space_dim, Kind kind, Topology topology,
inline
Constraint::Constraint(Linear_Expression& e, Kind kind, Topology topology)
- : wrapped_expr(expr, topology == NOT_NECESSARILY_CLOSED),
- kind_(kind),
+ : kind_(kind),
topology_(topology) {
PPL_ASSERT(kind != RAY_OR_POINT_OR_INEQUALITY || topology == NOT_NECESSARILY_CLOSED);
swap(expr, e);
@@ -30418,8 +30153,7 @@ Constraint::Constraint(Linear_Expression& e, Kind kind, Topology topology)
inline
Constraint::Constraint(Linear_Expression& e, Type type, Topology topology)
- : wrapped_expr(expr, topology == NOT_NECESSARILY_CLOSED),
- topology_(topology) {
+ : topology_(topology) {
PPL_ASSERT(type != STRICT_INEQUALITY || topology == NOT_NECESSARILY_CLOSED);
swap(expr, e);
if (topology == NOT_NECESSARILY_CLOSED)
@@ -30435,7 +30169,6 @@ Constraint::Constraint(Linear_Expression& e, Type type, Topology topology)
inline
Constraint::Constraint(const Constraint& c)
: expr(c.expr),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
kind_(c.kind_),
topology_(c.topology_) {
// NOTE: This does not call PPL_ASSERT(OK()) because this is called by OK().
@@ -30444,7 +30177,6 @@ Constraint::Constraint(const Constraint& c)
inline
Constraint::Constraint(const Constraint& c, Representation r)
: expr(c.expr, r),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
kind_(c.kind_),
topology_(c.topology_) {
PPL_ASSERT(OK());
@@ -30453,7 +30185,6 @@ Constraint::Constraint(const Constraint& c, Representation r)
inline
Constraint::Constraint(const Constraint& c, const dimension_type space_dim)
: expr(c.expr, c.is_necessarily_closed() ? space_dim : (space_dim + 1)),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
kind_(c.kind_), topology_(c.topology_) {
PPL_ASSERT(space_dimension() == space_dim);
PPL_ASSERT(OK());
@@ -30463,7 +30194,6 @@ inline
Constraint::Constraint(const Constraint& c, const dimension_type space_dim,
Representation r)
: expr(c.expr, c.is_necessarily_closed() ? space_dim : (space_dim + 1), r),
- wrapped_expr(expr, c.is_not_necessarily_closed()),
kind_(c.kind_), topology_(c.topology_) {
PPL_ASSERT(space_dimension() == space_dim);
PPL_ASSERT(OK());
@@ -30481,11 +30211,6 @@ Constraint::operator=(const Constraint& c) {
return *this;
}
-inline const Constraint::Expression&
-Constraint::expression() const {
- return wrapped_expr;
-}
-
inline Representation
Constraint::representation() const {
return expr.representation();
@@ -30506,12 +30231,14 @@ Constraint::set_space_dimension_no_ok(dimension_type space_dim) {
const dimension_type old_expr_space_dim = expr.space_dimension();
if (topology() == NECESSARILY_CLOSED) {
expr.set_space_dimension(space_dim);
- } else {
+ }
+ else {
const dimension_type old_space_dim = space_dimension();
if (space_dim > old_space_dim) {
expr.set_space_dimension(space_dim + 1);
expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- } else {
+ }
+ else {
expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
expr.set_space_dimension(space_dim + 1);
}
@@ -30829,8 +30556,6 @@ Constraint::m_swap(Constraint& y) {
swap(expr, y.expr);
swap(kind_, y.kind_);
swap(topology_, y.topology_);
- wrapped_expr.set_hide_last(is_not_necessarily_closed());
- y.wrapped_expr.set_hide_last(y.is_not_necessarily_closed());
}
inline Coefficient_traits::const_reference
@@ -30853,14 +30578,14 @@ swap(Constraint& x, Constraint& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constraint.defs.hh line 841. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_defs.hh line 835. */
-/* Automatically generated from PPL source file ../src/Generator.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_defs.hh line 1. */
/* Generator class declaration.
*/
-/* Automatically generated from PPL source file ../src/Generator_System.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_System_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -30870,7 +30595,7 @@ class Generator_System_const_iterator;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid_Generator_System.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_System_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -30879,14 +30604,14 @@ class Grid_Generator_System;
}
-/* Automatically generated from PPL source file ../src/Generator.defs.hh line 38. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_defs.hh line 38. */
-/* Automatically generated from PPL source file ../src/distances.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/distances_defs.hh line 1. */
/* Class declarations for several distances.
*/
-/* Automatically generated from PPL source file ../src/distances.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/distances_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -30902,7 +30627,7 @@ struct L_Infinity_Distance_Specialization;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/distances.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/distances_defs.hh line 29. */
template <typename Temp>
struct Parma_Polyhedra_Library::Rectilinear_Distance_Specialization {
@@ -30926,12 +30651,12 @@ struct Parma_Polyhedra_Library::L_Infinity_Distance_Specialization {
static void finalize(Temp&, Rounding_Dir);
};
-/* Automatically generated from PPL source file ../src/distances.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/distances_inlines.hh line 1. */
/* Inline functions implementing distances.
*/
-/* Automatically generated from PPL source file ../src/distances.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/distances_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -30975,8 +30700,8 @@ maybe_assign(const To*& top, To& tmp, const From& from, Rounding_Dir dir) {
template <typename Temp>
inline void
Rectilinear_Distance_Specialization<Temp>::combine(Temp& running,
- const Temp& current,
- Rounding_Dir dir) {
+ const Temp& current,
+ Rounding_Dir dir) {
add_assign_r(running, running, current, dir);
}
@@ -30988,8 +30713,8 @@ Rectilinear_Distance_Specialization<Temp>::finalize(Temp&, Rounding_Dir) {
template <typename Temp>
inline void
Euclidean_Distance_Specialization<Temp>::combine(Temp& running,
- Temp& current,
- Rounding_Dir dir) {
+ Temp& current,
+ Rounding_Dir dir) {
mul_assign_r(current, current, current, dir);
add_assign_r(running, running, current, dir);
}
@@ -30997,15 +30722,15 @@ Euclidean_Distance_Specialization<Temp>::combine(Temp& running,
template <typename Temp>
inline void
Euclidean_Distance_Specialization<Temp>::finalize(Temp& running,
- Rounding_Dir dir) {
+ Rounding_Dir dir) {
sqrt_assign_r(running, running, dir);
}
template <typename Temp>
inline void
L_Infinity_Distance_Specialization<Temp>::combine(Temp& running,
- const Temp& current,
- Rounding_Dir) {
+ const Temp& current,
+ Rounding_Dir) {
if (current > running)
running = current;
}
@@ -31017,9 +30742,328 @@ L_Infinity_Distance_Specialization<Temp>::finalize(Temp&, Rounding_Dir) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/distances.defs.hh line 53. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/distances_defs.hh line 53. */
-/* Automatically generated from PPL source file ../src/Generator.defs.hh line 46. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_defs.hh line 1. */
+/* Expression_Hide_Inhomo class declaration.
+*/
+
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_defs.hh line 28. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_defs.hh line 32. */
+
+#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
+/*! \brief
+ An adapter for Linear_Expression that hides the inhomogeneous term.
+
+ The methods of this class always pretend that the value of the
+ inhomogeneous term is zero.
+*/
+#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
+template <typename T>
+class Parma_Polyhedra_Library::Expression_Hide_Inhomo
+ : public Expression_Adapter<T> {
+ typedef Expression_Adapter<T> base_type;
+public:
+ //! The type of this object.
+ typedef Expression_Hide_Inhomo<T> const_reference;
+ //! The type obtained by one-level unwrapping.
+ typedef typename base_type::inner_type inner_type;
+ //! The raw, completely unwrapped type.
+ typedef typename base_type::raw_type raw_type;
+
+ //! Constructor.
+ explicit Expression_Hide_Inhomo(const raw_type& expr);
+
+public:
+ //! The type of const iterators on coefficients.
+ typedef typename base_type::const_iterator const_iterator;
+
+ //! Returns the constant zero.
+ Coefficient_traits::const_reference inhomogeneous_term() const;
+
+ //! Returns <CODE>true</CODE> if and only if \p *this is zero.
+ bool is_zero() const;
+
+ /*! \brief Returns \p true if \p *this is equal to \p y.
+
+ Note that <CODE>(*this == y)</CODE> has a completely different meaning.
+ */
+ template <typename Expression>
+ bool is_equal_to(const Expression& y) const;
+
+ //! Returns the i-th coefficient.
+ Coefficient_traits::const_reference get(dimension_type i) const;
+
+ //! Returns the coefficient of v.
+ Coefficient_traits::const_reference get(Variable v) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if the coefficient of each variable in
+ \p vars is zero.
+ */
+ bool all_zeroes(const Variables_Set& vars) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if (*this)[i] is zero,
+ for each i in [start, end).
+ */
+ bool all_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the number of zero coefficient in [start, end).
+ */
+ dimension_type num_zeroes(dimension_type start, dimension_type end) const;
+
+ /*! \brief
+ Returns the gcd of the nonzero coefficients in [start,end). If all the
+ coefficients in this range are zero, returns zero.
+ */
+ Coefficient gcd(dimension_type start, dimension_type end) const;
+
+ //! Returns the index of the last nonzero element, or zero if there are no
+ //! nonzero elements.
+ dimension_type last_nonzero() const;
+
+ //! Returns the index of the last nonzero element in [first,last), or last
+ //! if there are no nonzero elements.
+ dimension_type last_nonzero(dimension_type first, dimension_type last) const;
+
+ //! Returns the index of the first nonzero element, or \p last if there
+ //! are no nonzero elements, considering only elements in [first,last).
+ dimension_type first_nonzero(dimension_type first, dimension_type last) const;
+
+ /*! \brief
+ Returns <CODE>true</CODE> if all coefficients in [start,end),
+ except those corresponding to variables in \p vars, are zero.
+ */
+ bool all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const;
+
+ //! Removes from set \p x all the indexes of nonzero elements in \p *this.
+ void has_a_free_dimension_helper(std::set<dimension_type>& x) const;
+
+ //! Returns \c true if <CODE>(*this)[i]</CODE> is equal to <CODE>y[i]</CODE>,
+ //! for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const;
+
+ //! Returns \c true if <CODE>(*this)[i]*c1</CODE> is equal to
+ //! <CODE>y[i]*c2</CODE>, for each i in [start,end).
+ template <typename Expression>
+ bool is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Dense_Row& row) const;
+
+ //! Sets \p row to a copy of the row as adapted by \p *this.
+ void get_row(Sparse_Row& row) const;
+};
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_inlines.hh line 1. */
+/* Expression_Hide_Inhomo class implementation: inline functions.
+*/
+
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_inlines.hh line 28. */
+
+namespace Parma_Polyhedra_Library {
+
+template <typename T>
+Expression_Hide_Inhomo<T>::Expression_Hide_Inhomo(const raw_type& expr)
+ : base_type(expr) {
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Inhomo<T>::inhomogeneous_term() const {
+ // Pretend it is zero.
+ return Coefficient_zero();
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>::is_zero() const {
+ // Don't check the inhomogeneous_term (i.e., pretend it is zero).
+ return this->inner().all_homogeneous_terms_are_zero();
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Inhomo<T>
+::is_equal_to(const Expression& y) const {
+ const dimension_type x_dim = this->space_dimension();
+ const dimension_type y_dim = y.space_dimension();
+ if (x_dim != y_dim)
+ return false;
+ if (y.inhomogeneous_term() != 0)
+ return false;
+ // Note that the inhomogeneous term is not compared.
+ return this->inner().is_equal_to(y, 1, x_dim + 1);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Inhomo<T>::get(dimension_type i) const {
+ if (i == 0)
+ return Coefficient_zero();
+ else
+ return this->inner().get(i);
+}
+
+template <typename T>
+inline Coefficient_traits::const_reference
+Expression_Hide_Inhomo<T>::get(Variable v) const {
+ return this->inner().get(v);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>
+::all_zeroes(const Variables_Set& vars) const {
+ return this->inner().all_zeroes(vars);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>::all_zeroes(dimension_type start,
+ dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().all_zeroes(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::num_zeroes(dimension_type start,
+ dimension_type end) const {
+ if (start == end)
+ return 0;
+ dimension_type nz = 0;
+ if (start == 0) {
+ ++start;
+ ++nz;
+ }
+ nz += this->inner().num_zeroes(start, end);
+ return nz;
+}
+
+template <typename T>
+inline Coefficient
+Expression_Hide_Inhomo<T>::gcd(dimension_type start,
+ dimension_type end) const {
+ if (start == end)
+ return Coefficient_zero();
+ if (start == 0)
+ ++start;
+ return this->inner().gcd(start, end);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::last_nonzero() const {
+ return this->inner().last_nonzero();
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::last_nonzero(dimension_type first,
+ dimension_type last) const {
+ if (first == last)
+ return last;
+ if (first == 0)
+ ++first;
+ return this->inner().last_nonzero(first, last);
+}
+
+template <typename T>
+inline dimension_type
+Expression_Hide_Inhomo<T>::first_nonzero(dimension_type first,
+ dimension_type last) const {
+ if (first == last)
+ return last;
+ if (first == 0)
+ ++first;
+ return this->inner().first_nonzero(first, last);
+}
+
+template <typename T>
+inline bool
+Expression_Hide_Inhomo<T>
+::all_zeroes_except(const Variables_Set& vars,
+ dimension_type start, dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().all_zeroes_except(vars, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Inhomo<T>
+::has_a_free_dimension_helper(std::set<dimension_type>& y) const {
+ bool had_0 = (y.count(0) == 1);
+ this->inner().has_a_free_dimension_helper(y);
+ if (had_0)
+ y.insert(0);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Inhomo<T>
+::is_equal_to(const Expression& y,
+ dimension_type start, dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().is_equal_to(y, start, end);
+}
+
+template <typename T>
+template <typename Expression>
+inline bool
+Expression_Hide_Inhomo<T>
+::is_equal_to(const Expression& y,
+ Coefficient_traits::const_reference c1,
+ Coefficient_traits::const_reference c2,
+ dimension_type start, dimension_type end) const {
+ if (start == end)
+ return true;
+ if (start == 0)
+ ++start;
+ return this->inner().is_equal_to(y, c1, c2, start, end);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Inhomo<T>::get_row(Dense_Row& row) const {
+ this->inner().get_row(row);
+ row.reset(0);
+}
+
+template <typename T>
+inline void
+Expression_Hide_Inhomo<T>::get_row(Sparse_Row& row) const {
+ this->inner().get_row(row);
+ row.reset(0);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Expression_Hide_Inhomo_defs.hh line 146. */
+
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_defs.hh line 46. */
#include <iosfwd>
@@ -31503,13 +31547,11 @@ public:
//! Swaps \p *this with \p y.
void m_swap(Generator& y);
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> > Expression;
-
- //! Allows user code to read the internal expression (but note that this
- //! is a different type, not all operations are allowed).
- const Expression& expression() const;
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> >
+ expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
private:
//! The possible kinds of Generator objects.
@@ -31518,14 +31560,13 @@ private:
RAY_OR_POINT_OR_INEQUALITY = 1
};
+ //! The linear expression encoding \p *this.
Linear_Expression expr;
- Expression_Hide_Inhomo<Linear_Expression> semi_wrapped_expr;
-
- Expression wrapped_expr;
-
+ //! The kind of \p *this.
Kind kind_;
+ //! The topology of \p *this.
Topology topology_;
/*! \brief
@@ -31605,14 +31646,14 @@ private:
//! Marks the epsilon dimension as a standard dimension.
/*!
- The row topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
+ The row topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
the number of space dimensions is increased by 1.
*/
void mark_as_necessarily_closed();
//! Marks the last dimension as the epsilon dimension.
/*!
- The row topology is changed to <CODE>NECESSARILY_CLOSED</CODE>, and
+ The row topology is changed to <CODE>NOT_NECESSARILY_CLOSED</CODE>, and
the number of space dimensions is decreased by 1.
*/
void mark_as_not_necessarily_closed();
@@ -31646,8 +31687,8 @@ private:
*/
void
throw_dimension_incompatible(const char* method,
- const char* v_name,
- Variable v) const;
+ const char* v_name,
+ Variable v) const;
/*! \brief
Throw a <CODE>std::invalid_argument</CODE> exception
@@ -31700,10 +31741,14 @@ private:
*/
bool check_strong_normalized() const;
- //! Another print functions, with fancy output, more human-friendly.
- //! This is used by operator<<();
+ /*! \brief
+ A print function, with fancy, more human-friendly output.
+
+ This is used by operator<<().
+ */
void fancy_print(std::ostream& s) const;
+ friend class Expression_Adapter<Generator>;
friend class Linear_System<Generator>;
friend class Parma_Polyhedra_Library::Scalar_Products;
friend class Parma_Polyhedra_Library::Topology_Adjusted_Scalar_Product_Sign;
@@ -31717,13 +31762,9 @@ private:
friend class Parma_Polyhedra_Library::MIP_Problem;
friend class Parma_Polyhedra_Library::Grid;
- friend
- Parma_Polyhedra_Library
- ::Linear_Expression::Linear_Expression(const Generator& g);
-
friend std::ostream&
Parma_Polyhedra_Library::IO_Operators::operator<<(std::ostream& s,
- const Generator& g);
+ const Generator& g);
friend int
compare(const Generator& x, const Generator& y);
@@ -31809,7 +31850,7 @@ bool operator!=(const Generator& x, const Generator& y);
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
\note
Distances are \e only defined between generators that are points and/or
@@ -31830,7 +31871,7 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
\note
Distances are \e only defined between generators that are points and/or
@@ -31875,7 +31916,7 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
\note
Distances are \e only defined between generators that are points and/or
@@ -31896,7 +31937,7 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
\note
Distances are \e only defined between generators that are points and/or
@@ -31941,7 +31982,7 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
\note
Distances are \e only defined between generators that are points and/or
@@ -31962,7 +32003,7 @@ bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
\note
Distances are \e only defined between generators that are points and/or
@@ -32008,7 +32049,7 @@ std::ostream& operator<<(std::ostream& s, const Generator::Type& t);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Generator.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_inlines.hh line 1. */
/* Generator class implementation: inline functions.
*/
@@ -32025,9 +32066,14 @@ Generator::is_not_necessarily_closed() const {
return (topology() == NOT_NECESSARILY_CLOSED);
}
+inline Generator::expr_type
+Generator::expression() const {
+ return expr_type(expr, is_not_necessarily_closed());
+}
+
inline dimension_type
Generator::space_dimension() const {
- return wrapped_expr.space_dimension();
+ return expression().space_dimension();
}
inline bool
@@ -32062,11 +32108,10 @@ Generator::set_topology(Topology x) {
if (topology() == NECESSARILY_CLOSED) {
// Add a column for the epsilon dimension.
expr.set_space_dimension(expr.space_dimension() + 1);
- wrapped_expr.set_hide_last(true);
- } else {
+ }
+ else {
PPL_ASSERT(expr.space_dimension() > 0);
expr.set_space_dimension(expr.space_dimension() - 1);
- wrapped_expr.set_hide_last(false);
}
topology_ = x;
}
@@ -32075,14 +32120,12 @@ inline void
Generator::mark_as_necessarily_closed() {
PPL_ASSERT(is_not_necessarily_closed());
topology_ = NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(false);
}
inline void
Generator::mark_as_not_necessarily_closed() {
PPL_ASSERT(is_necessarily_closed());
topology_ = NOT_NECESSARILY_CLOSED;
- wrapped_expr.set_hide_last(true);
}
inline void
@@ -32098,8 +32141,6 @@ Generator::set_not_necessarily_closed() {
inline
Generator::Generator(Representation r)
: expr(r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, false),
kind_(RAY_OR_POINT_OR_INEQUALITY),
topology_(NECESSARILY_CLOSED) {
expr.set_inhomogeneous_term(Coefficient_one());
@@ -32111,8 +32152,6 @@ inline
Generator::Generator(dimension_type space_dim, Kind kind, Topology topology,
Representation r)
: expr(r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, topology == NOT_NECESSARILY_CLOSED),
kind_(kind),
topology_(topology) {
if (is_necessarily_closed())
@@ -32125,9 +32164,7 @@ Generator::Generator(dimension_type space_dim, Kind kind, Topology topology,
inline
Generator::Generator(Linear_Expression& e, Type type, Topology topology)
- : semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, topology == NOT_NECESSARILY_CLOSED),
- topology_(topology) {
+ : topology_(topology) {
PPL_ASSERT(type != CLOSURE_POINT || topology == NOT_NECESSARILY_CLOSED);
swap(expr, e);
if (topology == NOT_NECESSARILY_CLOSED)
@@ -32141,9 +32178,7 @@ Generator::Generator(Linear_Expression& e, Type type, Topology topology)
inline
Generator::Generator(Linear_Expression& e, Kind kind, Topology topology)
- : semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, topology == NOT_NECESSARILY_CLOSED),
- kind_(kind),
+ : kind_(kind),
topology_(topology) {
swap(expr, e);
if (topology == NOT_NECESSARILY_CLOSED)
@@ -32154,8 +32189,6 @@ Generator::Generator(Linear_Expression& e, Kind kind, Topology topology)
inline
Generator::Generator(const Generator& g)
: expr(g.expr),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
kind_(g.kind_),
topology_(g.topology_) {
}
@@ -32163,8 +32196,6 @@ Generator::Generator(const Generator& g)
inline
Generator::Generator(const Generator& g, Representation r)
: expr(g.expr, r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
kind_(g.kind_),
topology_(g.topology_) {
// This does not assert OK() because it's called by OK().
@@ -32174,8 +32205,6 @@ Generator::Generator(const Generator& g, Representation r)
inline
Generator::Generator(const Generator& g, dimension_type space_dim)
: expr(g.expr, g.is_necessarily_closed() ? space_dim : (space_dim + 1)),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
kind_(g.kind_),
topology_(g.topology_) {
PPL_ASSERT(OK());
@@ -32186,8 +32215,6 @@ inline
Generator::Generator(const Generator& g, dimension_type space_dim,
Representation r)
: expr(g.expr, g.is_necessarily_closed() ? space_dim : (space_dim + 1), r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, g.is_not_necessarily_closed()),
kind_(g.kind_),
topology_(g.topology_) {
PPL_ASSERT(OK());
@@ -32206,11 +32233,6 @@ Generator::operator=(const Generator& g) {
return *this;
}
-inline const Generator::Expression&
-Generator::expression() const {
- return wrapped_expr;
-}
-
inline Representation
Generator::representation() const {
return expr.representation();
@@ -32231,12 +32253,14 @@ Generator::set_space_dimension_no_ok(dimension_type space_dim) {
const dimension_type old_expr_space_dim = expr.space_dimension();
if (topology() == NECESSARILY_CLOSED) {
expr.set_space_dimension(space_dim);
- } else {
+ }
+ else {
const dimension_type old_space_dim = space_dimension();
if (space_dim > old_space_dim) {
expr.set_space_dimension(space_dim + 1);
expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- } else {
+ }
+ else {
expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
expr.set_space_dimension(space_dim + 1);
}
@@ -32326,7 +32350,7 @@ Generator::divisor() const {
Coefficient_traits::const_reference d = expr.inhomogeneous_term();
if (!is_ray_or_point() || d == 0)
throw_invalid_argument("divisor()",
- "*this is neither a point nor a closure point");
+ "*this is neither a point nor a closure point");
return d;
}
@@ -32527,8 +32551,6 @@ Generator::m_swap(Generator& y) {
swap(expr, y.expr);
swap(kind_, y.kind_);
swap(topology_, y.topology_);
- wrapped_expr.set_hide_last(is_not_necessarily_closed());
- y.wrapped_expr.set_hide_last(y.is_not_necessarily_closed());
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -32537,12 +32559,12 @@ Generator::m_swap(Generator& y) {
template <typename Specialization, typename Temp, typename To>
inline bool
l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
// Generator kind compatibility check: we only compute distances
// between (closure) points.
if (x.is_line_or_ray() || y.is_line_or_ray())
@@ -32596,12 +32618,12 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >
(r, x, y, dir, tmp0, tmp1, tmp2);
}
@@ -32610,9 +32632,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -32624,9 +32646,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
return rectilinear_distance_assign<To, To>(r, x, y, dir);
}
@@ -32634,12 +32656,12 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >
(r, x, y, dir, tmp0, tmp1, tmp2);
}
@@ -32648,9 +32670,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -32662,9 +32684,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
return euclidean_distance_assign<To, To>(r, x, y, dir);
}
@@ -32672,12 +32694,12 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >
(r, x, y, dir, tmp0, tmp1, tmp2);
}
@@ -32686,9 +32708,9 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -32700,9 +32722,9 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Generator& x,
- const Generator& y,
- const Rounding_Dir dir) {
+ const Generator& x,
+ const Generator& y,
+ const Rounding_Dir dir) {
return l_infinity_distance_assign<To, To>(r, x, y, dir);
}
@@ -32714,20 +32736,20 @@ swap(Generator& x, Generator& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Generator.defs.hh line 1035. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_defs.hh line 1032. */
-/* Automatically generated from PPL source file ../src/Grid_Generator.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_defs.hh line 1. */
/* Grid_Generator class declaration.
*/
-/* Automatically generated from PPL source file ../src/Grid_Generator.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_defs.hh line 29. */
-/* Automatically generated from PPL source file ../src/Grid_Generator.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_defs.hh line 33. */
-/* Automatically generated from PPL source file ../src/Grid_Generator.defs.hh line 39. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_defs.hh line 39. */
-/* Automatically generated from PPL source file ../src/Grid_Generator.defs.hh line 41. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_defs.hh line 41. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -33220,21 +33242,15 @@ public:
*/
void set_divisor(Coefficient_traits::const_reference d);
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> > Expression;
-
- //! Allows user code to read the internal expression (but note that this
- //! is a different type, not all operations are allowed).
- const Expression& expression() const;
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Hide_Last<Expression_Hide_Inhomo<Linear_Expression> >
+ expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
private:
Linear_Expression expr;
- Expression_Hide_Inhomo<Linear_Expression> semi_wrapped_expr;
-
- Expression wrapped_expr;
-
Kind kind_;
/*! \brief
@@ -33276,8 +33292,11 @@ private:
bool is_equal_at_dimension(dimension_type dim,
const Grid_Generator& gg) const;
- //! Another print functions, with fancy output, more human-friendly.
- //! This is used by operator<<();
+ /*! \brief
+ A print function, with fancy, more human-friendly output.
+
+ This is used by operator<<().
+ */
void fancy_print(std::ostream& s) const;
//! Converts the Grid_Generator into a parameter.
@@ -33394,6 +33413,7 @@ private:
friend int
compare(const Grid_Generator& x, const Grid_Generator& y);
+ friend class Expression_Adapter<Grid_Generator>;
friend class Grid_Generator_System;
friend class Grid;
friend class Linear_System<Grid_Generator>;
@@ -33483,7 +33503,7 @@ std::ostream& operator<<(std::ostream& s, const Grid_Generator::Type& t);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid_Generator.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_inlines.hh line 1. */
/* Grid Generator class implementation: inline functions.
*/
@@ -33542,8 +33562,7 @@ Grid_Generator::set_not_necessarily_closed() {
}
inline
-Grid_Generator::Grid_Generator(Linear_Expression& e, Type type)
- : semi_wrapped_expr(expr), wrapped_expr(semi_wrapped_expr, true) {
+Grid_Generator::Grid_Generator(Linear_Expression& e, Type type) {
swap(expr, e);
if (type == LINE)
kind_ = LINE_OR_EQUALITY;
@@ -33555,8 +33574,6 @@ Grid_Generator::Grid_Generator(Linear_Expression& e, Type type)
inline
Grid_Generator::Grid_Generator(Representation r)
: expr(Coefficient_one(), r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
kind_(RAY_OR_POINT_OR_INEQUALITY) {
expr.set_space_dimension(1);
PPL_ASSERT(OK());
@@ -33565,16 +33582,12 @@ Grid_Generator::Grid_Generator(Representation r)
inline
Grid_Generator::Grid_Generator(const Grid_Generator& g)
: expr(g.expr),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
kind_(g.kind_) {
}
inline
Grid_Generator::Grid_Generator(const Grid_Generator& g, Representation r)
: expr(g.expr, r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
kind_(g.kind_) {
}
@@ -33582,8 +33595,6 @@ inline
Grid_Generator::Grid_Generator(dimension_type space_dim, Kind kind,
Topology topology, Representation r)
: expr(r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
kind_(kind) {
PPL_USED(topology);
PPL_ASSERT(topology == NECESSARILY_CLOSED);
@@ -33595,8 +33606,6 @@ inline
Grid_Generator::Grid_Generator(const Grid_Generator& g,
dimension_type space_dim)
: expr(g.expr, space_dim + 1),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
kind_(g.kind_) {
PPL_ASSERT(OK());
PPL_ASSERT(space_dimension() == space_dim);
@@ -33606,8 +33615,6 @@ inline
Grid_Generator::Grid_Generator(const Grid_Generator& g,
dimension_type space_dim, Representation r)
: expr(g.expr, space_dim + 1, r),
- semi_wrapped_expr(expr),
- wrapped_expr(semi_wrapped_expr, true),
kind_(g.kind_) {
PPL_ASSERT(OK());
PPL_ASSERT(space_dimension() == space_dim);
@@ -33617,9 +33624,9 @@ inline
Grid_Generator::~Grid_Generator() {
}
-inline const Grid_Generator::Expression&
+inline Grid_Generator::expr_type
Grid_Generator::expression() const {
- return wrapped_expr;
+ return expr_type(expr, true);
}
inline Representation
@@ -33639,7 +33646,7 @@ Grid_Generator::max_space_dimension() {
inline dimension_type
Grid_Generator::space_dimension() const {
- return wrapped_expr.space_dimension();
+ return expression().space_dimension();
}
inline void
@@ -33648,7 +33655,8 @@ Grid_Generator::set_space_dimension(dimension_type space_dim) {
if (space_dim > old_space_dim) {
expr.set_space_dimension(space_dim + 1);
expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
- } else {
+ }
+ else {
expr.swap_space_dimensions(Variable(space_dim), Variable(old_space_dim));
expr.set_space_dimension(space_dim + 1);
}
@@ -33718,7 +33726,7 @@ Grid_Generator::divisor() const {
inline bool
Grid_Generator::is_equal_at_dimension(dimension_type dim,
- const Grid_Generator& y) const {
+ const Grid_Generator& y) const {
const Grid_Generator& x = *this;
return x.expr.get(dim) * y.divisor() == y.expr.get(dim) * x.divisor();
}
@@ -33776,7 +33784,6 @@ Grid_Generator::m_swap(Grid_Generator& y) {
using std::swap;
swap(expr, y.expr);
swap(kind_, y.kind_);
- // No need to modify wrapped_expr here.
}
/*! \relates Grid_Generator */
@@ -33843,18 +33850,18 @@ swap(Grid_Generator& x, Grid_Generator& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid_Generator.defs.hh line 797. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_defs.hh line 795. */
-/* Automatically generated from PPL source file ../src/Congruence.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_defs.hh line 1. */
/* Congruence class declaration.
*/
-/* Automatically generated from PPL source file ../src/Congruence.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Congruence.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_defs.hh line 31. */
-/* Automatically generated from PPL source file ../src/Congruence.defs.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_defs.hh line 37. */
#include <iosfwd>
#include <vector>
@@ -34031,11 +34038,10 @@ public:
void permute_space_dimensions(const std::vector<Variable>& cycles);
- //! The type returned by the expression() method, that provides most
- //! of the const methods in Linear_Expression.
- typedef Linear_Expression Expression;
-
- const Expression& expression() const;
+ //! The type of the (adapted) internal expression.
+ typedef Expression_Adapter_Transparent<Linear_Expression> expr_type;
+ //! Partial read access to the (adapted) internal expression.
+ expr_type expression() const;
//! Returns the coefficient of \p v in \p *this.
/*!
@@ -34267,8 +34273,8 @@ private:
*/
void
throw_dimension_incompatible(const char* method,
- const char* v_name,
- Variable v) const;
+ const char* v_name,
+ Variable v) const;
friend bool
operator==(const Congruence& x, const Congruence& y);
@@ -34276,6 +34282,7 @@ private:
friend bool
operator!=(const Congruence& x, const Congruence& y);
+ friend class Scalar_Products;
friend class Grid;
};
@@ -34322,7 +34329,7 @@ swap(Congruence& x, Congruence& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Congruence.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_inlines.hh line 1. */
/* Congruence class implementation: inline functions.
*/
@@ -34372,9 +34379,9 @@ Congruence::set_representation(Representation r) {
expr.set_representation(r);
}
-inline const Congruence::Expression&
+inline Congruence::expr_type
Congruence::expression() const {
- return expr;
+ return expr_type(expr);
}
inline void
@@ -34394,7 +34401,7 @@ Congruence::~Congruence() {
inline
Congruence::Congruence(Linear_Expression& le,
- Coefficient_traits::const_reference m,
+ Coefficient_traits::const_reference m,
Recycle_Input)
: modulus_(m) {
PPL_ASSERT(m >= 0);
@@ -34405,21 +34412,21 @@ Congruence::Congruence(Linear_Expression& le,
inline Congruence
Congruence::create(const Linear_Expression& e,
- Coefficient_traits::const_reference n,
+ Coefficient_traits::const_reference n,
Representation r) {
Linear_Expression diff(e, r);
diff -= n;
- Congruence cg(diff, 1, Recycle_Input());
+ const Congruence cg(diff, 1, Recycle_Input());
return cg;
}
inline Congruence
Congruence::create(Coefficient_traits::const_reference n,
- const Linear_Expression& e,
+ const Linear_Expression& e,
Representation r) {
Linear_Expression diff(e, r);
diff -= n;
- Congruence cg(diff, 1, Recycle_Input());
+ const Congruence cg(diff, 1, Recycle_Input());
return cg;
}
@@ -34546,7 +34553,7 @@ Congruence::is_equality() const {
inline bool
Congruence::is_equal_at_dimension(Variable v,
- const Congruence& cg) const {
+ const Congruence& cg) const {
return coefficient(v) * cg.modulus() == cg.coefficient(v) * modulus();
}
@@ -34581,34 +34588,39 @@ swap(Congruence& x, Congruence& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Congruence.defs.hh line 503. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_defs.hh line 505. */
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.templates.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_templates.hh line 34. */
#include <stdexcept>
#include <iostream>
namespace Parma_Polyhedra_Library {
template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Linear_Expression_Impl& e) {
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Impl& e) {
construct(e);
}
template <typename Row>
template <typename Row2>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Linear_Expression_Impl<Row2>& e) {
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Impl<Row2>& e) {
construct(e);
}
template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Linear_Expression_Interface& e) {
+Linear_Expression_Impl<Row>
+::Linear_Expression_Impl(const Linear_Expression_Interface& e) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
construct(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
construct(*p);
- } else {
+ }
+ else {
// Add implementations for other derived classes here.
PPL_UNREACHABLE;
}
@@ -34620,23 +34632,19 @@ Linear_Expression_Impl<Row>
dimension_type space_dim) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&e)) {
construct(*p, space_dim);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&e)) {
construct(*p, space_dim);
- } else {
+ }
+ else {
// Add implementations for other derived classes here.
PPL_UNREACHABLE;
}
}
template <typename Row>
-Linear_Expression_Impl<Row>::Linear_Expression_Impl(const Congruence& cg,
- dimension_type space_dim) {
- construct(*(cg.expression().impl), space_dim);
-}
-
-template <typename Row>
template <typename Row2>
void
Linear_Expression_Impl<Row>
@@ -34651,7 +34659,7 @@ template <typename Row2>
void
Linear_Expression_Impl<Row>
::linear_combine(const Linear_Expression_Impl<Row2>& y, dimension_type i) {
- Linear_Expression_Impl& x = *this;
+ const Linear_Expression_Impl& x = *this;
PPL_ASSERT(i < x.space_dimension() + 1);
PPL_ASSERT(x.space_dimension() == y.space_dimension());
Coefficient_traits::const_reference x_i = x.row.get(i);
@@ -34700,7 +34708,8 @@ Linear_Expression_Impl<Row>
template <typename Row>
template <typename Row2>
int
-Linear_Expression_Impl<Row>::compare(const Linear_Expression_Impl<Row2>& y) const {
+Linear_Expression_Impl<Row>
+::compare(const Linear_Expression_Impl<Row2>& y) const {
const Linear_Expression_Impl& x = *this;
// Compare all the coefficients of the row starting from position 1.
// NOTE: x and y may be of different size.
@@ -34710,21 +34719,21 @@ Linear_Expression_Impl<Row>::compare(const Linear_Expression_Impl<Row2>& y) cons
typename Row2::const_iterator j_end = y.row.end();
while (i != i_end && j != j_end) {
if (i.index() < j.index()) {
- int s = sgn(*i);
+ const int s = sgn(*i);
if (s != 0)
return 2*s;
++i;
continue;
}
if (i.index() > j.index()) {
- int s = sgn(*j);
+ const int s = sgn(*j);
if (s != 0)
return -2*s;
++j;
continue;
}
PPL_ASSERT(i.index() == j.index());
- int s = cmp(*i, *j);
+ const int s = cmp(*i, *j);
if (s < 0)
return -2;
if (s > 0)
@@ -34734,12 +34743,12 @@ Linear_Expression_Impl<Row>::compare(const Linear_Expression_Impl<Row2>& y) cons
++j;
}
for ( ; i != i_end; ++i) {
- int s = sgn(*i);
+ const int s = sgn(*i);
if (s != 0)
return 2*s;
}
for ( ; j != j_end; ++j) {
- int s = sgn(*j);
+ const int s = sgn(*j);
if (s != 0)
return -2*s;
}
@@ -34882,7 +34891,8 @@ Linear_Expression_Impl<Row>::operator*=(Coefficient_traits::const_reference n) {
PPL_ASSERT(OK());
return *this;
}
- for (typename Row::iterator i = row.begin(), i_end = row.end(); i != i_end; ++i)
+ for (typename Row::iterator i = row.begin(),
+ i_end = row.end(); i != i_end; ++i)
(*i) *= n;
PPL_ASSERT(OK());
return *this;
@@ -34909,7 +34919,8 @@ Linear_Expression_Impl<Row>::operator/=(Coefficient_traits::const_reference n) {
template <typename Row>
void
Linear_Expression_Impl<Row>::negate() {
- for (typename Row::iterator i = row.begin(), i_end = row.end(); i != i_end; ++i)
+ for (typename Row::iterator i = row.begin(),
+ i_end = row.end(); i != i_end; ++i)
neg_assign(*i);
PPL_ASSERT(OK());
}
@@ -35052,8 +35063,8 @@ Linear_Expression_Impl<Row>
// NOTE: Since all coefficients in [start,end) are multiple of c,
// each of the resulting coefficients will be nonzero iff the initial
// coefficient was.
- for (typename Row::iterator
- i = row.lower_bound(start), i_end = row.lower_bound(end); i != i_end; ++i)
+ for (typename Row::iterator i = row.lower_bound(start),
+ i_end = row.lower_bound(end); i != i_end; ++i)
Parma_Polyhedra_Library::exact_div_assign(*i, *i, c);
PPL_ASSERT(OK());
}
@@ -35068,7 +35079,8 @@ Linear_Expression_Impl<Row>
const typename Row::iterator& i_end = row.end();
while (i != i_end && i.index() < end)
i = row.reset(i);
- } else {
+ }
+ else {
for (typename Row::iterator
i = row.lower_bound(start), i_end = row.lower_bound(end); i != i_end; ++i)
(*i) *= c;
@@ -35107,7 +35119,8 @@ Linear_Expression_Impl<Row>
const typename Row::iterator& i_end = row.end();
while (i != i_end && i.index() < end)
i = row.reset(i);
- } else {
+ }
+ else {
PPL_ASSERT(c1 == 0);
PPL_ASSERT(c2 != 0);
@@ -35143,15 +35156,16 @@ Linear_Expression_Impl<Row>
++j;
}
}
- } else {
+ }
+ else {
if (c2 == 0) {
PPL_ASSERT(c1 != 0);
PPL_ASSERT(c2 == 0);
for (typename Row::iterator i = row.lower_bound(start),
- i_end = row.lower_bound(end);
- i != i_end; ++i)
+ i_end = row.lower_bound(end); i != i_end; ++i)
(*i) *= c1;
- } else {
+ }
+ else {
PPL_ASSERT(c1 != 0);
PPL_ASSERT(c2 != 0);
Parma_Polyhedra_Library::linear_combine(row, y.row, c1, c2, start, end);
@@ -35174,9 +35188,9 @@ Linear_Expression_Impl<Row>::sign_normalize() {
for ( ; i != i_end; ++i)
neg_assign(*i);
// Negate the first coefficient, too.
- typename Row::iterator i = row.begin();
- if (i != row.end() && i.index() == 0)
- neg_assign(*i);
+ typename Row::iterator first = row.begin();
+ if (first != row.end() && first.index() == 0)
+ neg_assign(*first);
}
PPL_ASSERT(OK());
}
@@ -35215,7 +35229,8 @@ template <typename Row>
template <typename Row2>
void
Linear_Expression_Impl<Row>
-::scalar_product_assign(Coefficient& result, const Linear_Expression_Impl<Row2>& y,
+::scalar_product_assign(Coefficient& result,
+ const Linear_Expression_Impl<Row2>& y,
dimension_type start, dimension_type end) const {
const Linear_Expression_Impl<Row>& x = *this;
PPL_ASSERT(start <= end);
@@ -35231,12 +35246,14 @@ Linear_Expression_Impl<Row>
Parma_Polyhedra_Library::add_mul_assign(result, *x_i, *y_i);
++x_i;
++y_i;
- } else {
+ }
+ else {
if (x_i.index() < y_i.index()) {
PPL_ASSERT(y.row.get(x_i.index()) == 0);
// (*x_i) * 0 == 0, nothing to do.
++x_i;
- } else {
+ }
+ else {
PPL_ASSERT(x.row.get(y_i.index()) == 0);
// 0 * (*y_i) == 0, nothing to do.
++y_i;
@@ -35279,12 +35296,14 @@ Linear_Expression_Impl<Row>
return false;
++i;
++j;
- } else {
+ }
+ else {
if (i.index() < j.index()) {
if (*i != 0)
return false;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
if (*j != 0)
return false;
@@ -35336,12 +35355,14 @@ Linear_Expression_Impl<Row>
return false;
++i;
++j;
- } else {
+ }
+ else {
if (i.index() < j.index()) {
if (*i != 0)
return false;
++i;
- } else {
+ }
+ else {
PPL_ASSERT(i.index() > j.index());
if (*j != 0)
return false;
@@ -35364,11 +35385,13 @@ Linear_Expression_Impl<Row>
::linear_combine(const Linear_Expression_Interface& y, Variable v) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
linear_combine(*p, v);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
linear_combine(*p, v);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35382,11 +35405,13 @@ Linear_Expression_Impl<Row>
Coefficient_traits::const_reference c2) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
linear_combine(*p, c1, c2);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
linear_combine(*p, c1, c2);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35400,11 +35425,13 @@ Linear_Expression_Impl<Row>
Coefficient_traits::const_reference c2) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
linear_combine_lax(*p, c1, c2);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
linear_combine_lax(*p, c1, c2);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35416,11 +35443,13 @@ Linear_Expression_Impl<Row>
::is_equal_to(const Linear_Expression_Interface& y) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return is_equal_to(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return is_equal_to(*p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return false;
@@ -35433,11 +35462,13 @@ Linear_Expression_Impl<Row>
::operator+=(const Linear_Expression_Interface& y) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return operator+=(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return operator+=(*p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return *this;
@@ -35450,11 +35481,13 @@ Linear_Expression_Impl<Row>
::operator-=(const Linear_Expression_Interface& y) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return operator-=(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return operator-=(*p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return *this;
@@ -35468,11 +35501,13 @@ Linear_Expression_Impl<Row>
const Linear_Expression_Interface& y) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
add_mul_assign(factor, *p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
add_mul_assign(factor, *p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35485,11 +35520,13 @@ Linear_Expression_Impl<Row>
const Linear_Expression_Interface& y) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
sub_mul_assign(factor, *p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
sub_mul_assign(factor, *p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35501,11 +35538,13 @@ Linear_Expression_Impl<Row>
::linear_combine(const Linear_Expression_Interface& y, dimension_type i) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
linear_combine(*p, i);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
linear_combine(*p, i);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35520,11 +35559,13 @@ Linear_Expression_Impl<Row>
dimension_type start, dimension_type end) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
linear_combine(*p, c1, c2, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
linear_combine(*p, c1, c2, start, end);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35539,11 +35580,13 @@ Linear_Expression_Impl<Row>
dimension_type start, dimension_type end) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
linear_combine_lax(*p, c1, c2, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
linear_combine_lax(*p, c1, c2, start, end);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35555,11 +35598,13 @@ Linear_Expression_Impl<Row>
::compare(const Linear_Expression_Interface& y) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return compare(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return compare(*p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return 0;
@@ -35572,11 +35617,13 @@ void
Linear_Expression_Impl<Row>::construct(const Linear_Expression_Interface& y) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return construct(*p);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return construct(*p);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35588,11 +35635,13 @@ Linear_Expression_Impl<Row>::construct(const Linear_Expression_Interface& y,
dimension_type space_dim) {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return construct(*p, space_dim);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return construct(*p, space_dim);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35606,11 +35655,13 @@ Linear_Expression_Impl<Row>
dimension_type start, dimension_type end) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
scalar_product_assign(result, *p, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
scalar_product_assign(result, *p, start, end);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
}
@@ -35623,11 +35674,13 @@ Linear_Expression_Impl<Row>
dimension_type start, dimension_type end) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return scalar_product_sign(*p, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return scalar_product_sign(*p, start, end);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return 0;
@@ -35641,11 +35694,13 @@ Linear_Expression_Impl<Row>
dimension_type start, dimension_type end) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return is_equal_to(*p, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return is_equal_to(*p, start, end);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return false;
@@ -35661,11 +35716,13 @@ Linear_Expression_Impl<Row>
dimension_type start, dimension_type end) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return is_equal_to(*p, c1, c2, start, end);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return is_equal_to(*p, c1, c2, start, end);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return false;
@@ -35679,11 +35736,13 @@ Linear_Expression_Impl<Row>
Variable first, Variable last) const {
typedef const Linear_Expression_Impl<Dense_Row>* Dense_Ptr;
typedef const Linear_Expression_Impl<Sparse_Row>* Sparse_Ptr;
- if (Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
+ if (const Dense_Ptr p = dynamic_cast<Dense_Ptr>(&y)) {
return have_a_common_variable(*p, first, last);
- } else if (Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
+ }
+ else if (const Sparse_Ptr p = dynamic_cast<Sparse_Ptr>(&y)) {
return have_a_common_variable(*p, first, last);
- } else {
+ }
+ else {
// Add implementations for new derived classes here.
PPL_UNREACHABLE;
return false;
@@ -35758,8 +35817,7 @@ template <typename Row>
bool
Linear_Expression_Impl<Row>::const_iterator
::operator==(const const_iterator_interface& x) const {
- const const_iterator* p
- = dynamic_cast<const const_iterator*>(&x);
+ const const_iterator* const p = dynamic_cast<const const_iterator*>(&x);
// Comparing iterators belonging to different rows is forbidden.
PPL_ASSERT(p != 0);
PPL_ASSERT(row == p->row);
@@ -35815,19 +35873,19 @@ Linear_Expression_Impl<Row>::OK() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_Expression_Impl.defs.hh line 915. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Expression_Impl_defs.hh line 905. */
-/* Automatically generated from PPL source file ../src/Linear_Form.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_templates.hh line 1. */
/* Linear_Form class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Box.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_defs.hh line 1. */
/* Box class declaration.
*/
-/* Automatically generated from PPL source file ../src/Poly_Con_Relation.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Con_Relation_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -35836,7 +35894,7 @@ class Poly_Con_Relation;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Poly_Gen_Relation.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Gen_Relation_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -35845,7 +35903,7 @@ class Poly_Gen_Relation;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -35870,7 +35928,7 @@ class Partially_Reduced_Product;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.defs.hh line 50. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_defs.hh line 50. */
#include <vector>
#include <iosfwd>
@@ -35917,14 +35975,14 @@ std::ostream& operator<<(std::ostream& s, const Box<ITV>& box);
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename ITV>
bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
/*! \relates Box
@@ -35935,14 +35993,14 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename ITV>
bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
//! Computes the rectilinear (or Manhattan) distance between \p x and \p y.
/*! \relates Box
@@ -35958,12 +36016,12 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
//! Computes the euclidean distance between \p x and \p y.
/*! \relates Box
@@ -35974,14 +36032,14 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename ITV>
bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
//! Computes the euclidean distance between \p x and \p y.
/*! \relates Box
@@ -35992,14 +36050,14 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename ITV>
bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
//! Computes the euclidean distance between \p x and \p y.
/*! \relates Box
@@ -36015,12 +36073,12 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
/*! \relates Box
@@ -36031,14 +36089,14 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename ITV>
bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
/*! \relates Box
@@ -36049,14 +36107,14 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename ITV>
bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir);
//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
/*! \relates Box
@@ -36072,12 +36130,12 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
/*! \relates Box
@@ -36085,12 +36143,12 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Specialization,
- typename Temp, typename To, typename ITV>
+ typename Temp, typename To, typename ITV>
bool
l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x, const Box<ITV>& y,
- Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2);
+ const Box<ITV>& x, const Box<ITV>& y,
+ Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2);
} // namespace Parma_Polyhedra_Library
@@ -36150,7 +36208,7 @@ public:
Specifies whether the universe or the empty box has to be built.
*/
explicit Box(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
+ Degenerate_Element kind = UNIVERSE);
//! Ordinary copy constructor.
/*!
@@ -36257,7 +36315,7 @@ public:
*/
template <typename T>
explicit Box(const BD_Shape<T>& bds,
- Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
+ Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
//! Builds a box containing the octagonal shape \p oct.
/*!
@@ -36266,7 +36324,7 @@ public:
*/
template <typename T>
explicit Box(const Octagonal_Shape<T>& oct,
- Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
+ Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
//! Builds a box containing the polyhedron \p ph.
/*!
@@ -36276,7 +36334,7 @@ public:
smallest one containing \p ph.
*/
explicit Box(const Polyhedron& ph,
- Complexity_Class complexity = ANY_COMPLEXITY);
+ Complexity_Class complexity = ANY_COMPLEXITY);
//! Builds a box containing the grid \p gr.
/*!
@@ -36284,7 +36342,7 @@ public:
The \p complexity argument is ignored.
*/
explicit Box(const Grid& gr,
- Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
+ Complexity_Class complexity = POLYNOMIAL_COMPLEXITY);
//! Builds a box containing the partially reduced product \p dp.
/*!
@@ -36293,7 +36351,7 @@ public:
*/
template <typename D1, typename D2, typename R>
explicit Box(const Partially_Reduced_Product<D1, D2, R>& dp,
- Complexity_Class complexity = ANY_COMPLEXITY);
+ Complexity_Class complexity = ANY_COMPLEXITY);
/*! \brief
The assignment operator
@@ -36419,7 +36477,7 @@ public:
and \p maximum are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -36450,8 +36508,8 @@ public:
and \p g are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -36478,7 +36536,7 @@ public:
and \p minimum are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -36509,8 +36567,8 @@ public:
and \p g are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if there exist a
@@ -36844,9 +36902,9 @@ public:
\p *this.
*/
void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
// FIXME: To be completed.
/*! \brief
@@ -36893,9 +36951,9 @@ public:
dimension-incompatible or if \p var is not a space dimension of \p *this.
*/
void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -36922,10 +36980,10 @@ public:
dimension-incompatible or if \p var is not a space dimension of \p *this.
*/
void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -36953,10 +37011,10 @@ public:
*/
void
generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -36977,8 +37035,8 @@ public:
Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs.
*/
void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -36999,8 +37057,8 @@ public:
Thrown if \p *this is dimension-incompatible with \p lhs or \p rhs.
*/
void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -37028,10 +37086,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -37059,10 +37117,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the result of computing the
@@ -37199,7 +37257,7 @@ public:
&& Is_Same_Or_Derived<Interval_Base, ITV>::value,
void>::type
CC76_widening_assign(const T& y,
- Iterator first, Iterator last);
+ Iterator first, Iterator last);
//! Same as CC76_widening_assign(y, tp).
void widening_assign(const Box& y, unsigned* tp = 0);
@@ -37225,8 +37283,8 @@ public:
if \p cs contains a strict inequality.
*/
void limited_CC76_extrapolation_assign(const Box& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
+ const Constraint_System& cs,
+ unsigned* tp = 0);
/*! \brief
Assigns to \p *this the result of restoring in \p y the constraints
@@ -37485,7 +37543,7 @@ public:
boundary of \f$I\f$ is closed (i.e., it is included in the interval).
*/
bool has_lower_bound(Variable var,
- Coefficient& n, Coefficient& d, bool& closed) const;
+ Coefficient& n, Coefficient& d, bool& closed) const;
/*! \brief
If the space dimension of \p var is unbounded above, return
@@ -37588,13 +37646,13 @@ private:
Sequence seq;
#define PPL_IN_Box_CLASS
-/* Automatically generated from PPL source file ../src/Box_Status.idefs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_Status_idefs.hh line 1. */
/* Box<ITV>::Status class declaration.
*/
#ifndef PPL_IN_Box_CLASS
-#error "Do not include Box_Status.idefs.hh directly; use Box.defs.hh instead"
+#error "Do not include Box_Status_idefs.hh directly; use Box_defs.hh instead"
#endif
//! A conjunctive assertion about a Box<ITV> object.
@@ -37681,7 +37739,7 @@ private:
void reset(flags_t mask);
};
-/* Automatically generated from PPL source file ../src/Box.defs.hh line 1768. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_defs.hh line 1768. */
#undef PPL_IN_Box_CLASS
//! The status flags to keep track of the internal state.
@@ -38044,9 +38102,9 @@ private:
\p included and \p g are left untouched.
*/
bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator& g) const;
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator& g) const;
//! Maximizes or minimizes \p expr subject to \p *this.
/*!
@@ -38074,8 +38132,8 @@ private:
\p included and \p point are left untouched.
*/
bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included) const;
/*! \brief
Adds to \p limiting_box the interval constraints in \p cs
@@ -38087,29 +38145,29 @@ private:
//! \name Exception Throwers
//@{
void throw_dimension_incompatible(const char* method,
- const Box& y) const;
+ const Box& y) const;
void throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const;
+ dimension_type required_dim) const;
void throw_dimension_incompatible(const char* method,
- const Constraint& c) const;
+ const Constraint& c) const;
void throw_dimension_incompatible(const char* method,
- const Congruence& cg) const;
+ const Congruence& cg) const;
void throw_dimension_incompatible(const char* method,
- const Constraint_System& cs) const;
+ const Constraint_System& cs) const;
void throw_dimension_incompatible(const char* method,
- const Congruence_System& cgs) const;
+ const Congruence_System& cgs) const;
void throw_dimension_incompatible(const char* method,
- const Generator& g) const;
+ const Generator& g) const;
void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
+ const char* le_name,
+ const Linear_Expression& le) const;
template <typename C>
void throw_dimension_incompatible(const char* method,
@@ -38119,7 +38177,7 @@ private:
static void throw_constraint_incompatible(const char* method);
static void throw_expression_too_complex(const char* method,
- const Linear_Expression& le);
+ const Linear_Expression& le);
static void throw_invalid_argument(const char* method, const char* reason);
//@} // Exception Throwers
@@ -38196,7 +38254,7 @@ public:
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box_Status.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_Status_inlines.hh line 1. */
/* Box<ITV>::Status class implementation: inline functions.
*/
@@ -38402,31 +38460,31 @@ Box<ITV>::Status::ascii_load(std::istream& s) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_inlines.hh line 1. */
/* Box class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Constraint_System.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_defs.hh line 1. */
/* Constraint_System class declaration.
*/
-/* Automatically generated from PPL source file ../src/Constraint_System.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Linear_System.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_defs.hh line 1. */
/* Linear_System class declaration.
*/
-/* Automatically generated from PPL source file ../src/Linear_System.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Swapping_Vector.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Swapping_Vector_defs.hh line 1. */
/* Swapping_Vector class declaration.
*/
-/* Automatically generated from PPL source file ../src/Swapping_Vector.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Swapping_Vector_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -38436,10 +38494,10 @@ class Swapping_Vector;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Swapping_Vector.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Swapping_Vector_defs.hh line 29. */
#include <vector>
-/* Automatically generated from PPL source file ../src/Swapping_Vector.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Swapping_Vector_defs.hh line 32. */
namespace Parma_Polyhedra_Library {
@@ -38504,7 +38562,7 @@ void swap(Swapping_Vector<T>& x, Swapping_Vector<T>& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Swapping_Vector.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Swapping_Vector_inlines.hh line 1. */
/* Swapping_Vector class implementation: inline functions.
*/
@@ -38716,11 +38774,11 @@ swap(Swapping_Vector<T>& vec1, Swapping_Vector<T>& vec2) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Swapping_Vector.defs.hh line 97. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Swapping_Vector_defs.hh line 97. */
-/* Automatically generated from PPL source file ../src/Linear_System.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_defs.hh line 33. */
-/* Automatically generated from PPL source file ../src/Bit_Row.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Row_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -38729,7 +38787,7 @@ class Bit_Row;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Bit_Matrix.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Matrix_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -38738,7 +38796,7 @@ class Bit_Matrix;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.defs.hh line 39. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_defs.hh line 39. */
// TODO: Check how much of this description is still true.
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -39279,17 +39337,17 @@ bool operator!=(const Linear_System<Row>& x, const Linear_System<Row>& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_inlines.hh line 1. */
/* Linear_System class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Bit_Row.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Row_defs.hh line 1. */
/* Bit_Row class declaration.
*/
-/* Automatically generated from PPL source file ../src/Bit_Row.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Row_defs.hh line 29. */
#include <iosfwd>
#include <gmpxx.h>
#include <vector>
@@ -39355,7 +39413,7 @@ bool subset_or_equal(const Bit_Row& x, const Bit_Row& y);
*/
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
bool subset_or_equal(const Bit_Row& x, const Bit_Row& y,
- bool& strict_subset);
+ bool& strict_subset);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Set-theoretic strict inclusion test.
@@ -39425,7 +39483,7 @@ public:
friend bool operator!=(const Bit_Row& x, const Bit_Row& y);
friend bool subset_or_equal(const Bit_Row& x, const Bit_Row& y);
friend bool subset_or_equal(const Bit_Row& x, const Bit_Row& y,
- bool& strict_subset);
+ bool& strict_subset);
friend bool strict_subset(const Bit_Row& x, const Bit_Row& y);
//! Returns the index of the first set bit or ULONG_MAX if no bit is set.
@@ -39473,12 +39531,12 @@ private:
void union_helper(const Bit_Row& y, const Bit_Row& z);
};
-/* Automatically generated from PPL source file ../src/Bit_Row.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Row_inlines.hh line 1. */
/* Bit_Row class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Bit_Row.inlines.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Row_inlines.hh line 30. */
// For the declaration of ffs(3).
#if defined(PPL_HAVE_STRINGS_H)
@@ -39549,7 +39607,7 @@ Bit_Row::clear_from(const unsigned long k) {
inline unsigned long
Bit_Row::count_ones() const {
- mp_size_t x_size = vec->_mp_size;
+ const mp_size_t x_size = vec->_mp_size;
PPL_ASSERT(x_size >= 0);
return (x_size == 0) ? 0 : mpn_popcount(vec->_mp_d, x_size);
}
@@ -39685,9 +39743,9 @@ iter_swap(std::vector<Bit_Row>::iterator x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Bit_Row.defs.hh line 213. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Row_defs.hh line 213. */
-/* Automatically generated from PPL source file ../src/Linear_System.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_inlines.hh line 29. */
#include <algorithm>
@@ -40028,16 +40086,17 @@ inline void
Linear_System<Row>::remove_row_no_ok(const dimension_type i,
const bool keep_sorted) {
PPL_ASSERT(i < num_rows());
- bool was_pending = (i >= index_first_pending);
+ const bool was_pending = (i >= index_first_pending);
if (sorted && keep_sorted && !was_pending) {
for (dimension_type j = i + 1; j < rows.size(); ++j)
swap(rows[j], rows[j-1]);
rows.pop_back();
- } else {
+ }
+ else {
if (!was_pending)
sorted = false;
- bool last_row_is_pending = (num_rows() - 1 >= index_first_pending);
+ const bool last_row_is_pending = (num_rows() - 1 >= index_first_pending);
if (was_pending == last_row_is_pending)
// Either both rows are pending or both rows are not pending.
swap(rows[i], rows.back());
@@ -40084,7 +40143,7 @@ Linear_System<Row>::remove_rows(dimension_type first,
// non-pending) status.
PPL_ASSERT(first >= index_first_pending || last <= index_first_pending);
- bool were_pending = (first >= index_first_pending);
+ const bool were_pending = (first >= index_first_pending);
// Move the rows in [first,last) at the end of the system.
if (sorted && keep_sorted && !were_pending) {
@@ -40104,7 +40163,7 @@ Linear_System<Row>::remove_rows(dimension_type first,
// We can ignore the row ordering, but we must not mix pending and
// non-pending rows.
- dimension_type offset = rows.size() - n - first;
+ const dimension_type offset = rows.size() - n - first;
// We want to swap the rows in [first, last) and
// [first + offset, last + offset) (note that these intervals may not be
// disjunct).
@@ -40119,7 +40178,8 @@ Linear_System<Row>::remove_rows(dimension_type first,
// `n' non-pending rows have been removed.
index_first_pending -= n;
- } else {
+ }
+ else {
// There are some pending rows in [first + offset, last + offset).
if (were_pending) {
// Both intervals contain only pending rows, because the second
@@ -40131,7 +40191,8 @@ Linear_System<Row>::remove_rows(dimension_type first,
// `n' non-pending rows have been removed.
index_first_pending -= n;
- } else {
+ }
+ else {
PPL_ASSERT(rows.size() - n < index_first_pending);
PPL_ASSERT(rows.size() > index_first_pending);
PPL_ASSERT(!were_pending);
@@ -40235,7 +40296,8 @@ Linear_System<Row>::remove_rows(const std::vector<dimension_type>& indexes) {
if (*itr == i) {
// The current row has to be removed, don't increment last_unused_row.
++itr;
- } else {
+ }
+ else {
// The current row must not be removed, swap it after the last used row.
swap(rows[last_unused_row], rows[i]);
++last_unused_row;
@@ -40258,11 +40320,13 @@ Linear_System<Row>::remove_rows(const std::vector<dimension_type>& indexes) {
// Adjust index_first_pending.
if (indexes[0] >= index_first_pending) {
// Removing pending rows only.
- } else {
+ }
+ else {
if (indexes.back() < index_first_pending) {
// Removing non-pending rows only.
index_first_pending -= indexes.size();
- } else {
+ }
+ else {
// Removing some pending and some non-pending rows, count the
// non-pending rows that must be removed.
// This exploits the fact that `indexes' is sorted by using binary
@@ -40351,17 +40415,17 @@ swap(Linear_System<Row>& x, Linear_System<Row>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_templates.hh line 1. */
/* Linear_System class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Bit_Matrix.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Matrix_defs.hh line 1. */
/* Bit_Matrix class declaration.
*/
-/* Automatically generated from PPL source file ../src/Bit_Matrix.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Matrix_defs.hh line 30. */
#include <vector>
#include <iosfwd>
@@ -40517,13 +40581,13 @@ bool operator!=(const Bit_Matrix& x, const Bit_Matrix& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Bit_Matrix.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Matrix_inlines.hh line 1. */
/* Bit_Matrix class implementation: inline functions.
*/
#include <algorithm>
-/* Automatically generated from PPL source file ../src/Bit_Matrix.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Matrix_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -40540,7 +40604,7 @@ Bit_Matrix::max_num_rows() {
inline
Bit_Matrix::Bit_Matrix(const dimension_type n_rows,
- const dimension_type n_columns)
+ const dimension_type n_columns)
: rows(n_rows),
row_size(n_columns) {
}
@@ -40627,7 +40691,7 @@ inline bool
Bit_Matrix::sorted_contains(const Bit_Row& row) const {
PPL_ASSERT(check_sorted());
return std::binary_search(rows.begin(), rows.end(), row,
- Bit_Row_Less_Than());
+ Bit_Row_Less_Than());
}
/*! \relates Bit_Matrix */
@@ -40644,14 +40708,14 @@ swap(Bit_Matrix& x, Bit_Matrix& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Bit_Matrix.defs.hh line 186. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Bit_Matrix_defs.hh line 186. */
-/* Automatically generated from PPL source file ../src/Scalar_Products.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Scalar_Products_defs.hh line 1. */
/* Scalar_Products class definition.
*/
-/* Automatically generated from PPL source file ../src/Scalar_Products.defs.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Scalar_Products_defs.hh line 34. */
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! A class implementing various scalar product functions.
@@ -40676,15 +40740,15 @@ public:
//! Computes the scalar product of \p c and \p g and assigns it to \p z.
static void assign(Coefficient& z,
- const Constraint& c, const Grid_Generator& gg);
+ const Constraint& c, const Grid_Generator& gg);
//! Computes the scalar product of \p g and \p cg and assigns it to \p z.
static void assign(Coefficient& z,
- const Grid_Generator& gg, const Congruence& cg);
+ const Grid_Generator& gg, const Congruence& cg);
//! Computes the scalar product of \p cg and \p g and assigns it to \p z.
static void assign(Coefficient& z,
- const Congruence& cg, const Grid_Generator& gg);
+ const Congruence& cg, const Grid_Generator& gg);
//! Returns the sign of the scalar product between \p x and \p y.
static int sign(const Linear_Expression& x, const Linear_Expression& y);
@@ -40704,7 +40768,7 @@ public:
and assigns the result to \p z.
*/
static void reduced_assign(Coefficient& z,
- const Linear_Expression& x,
+ const Linear_Expression& x,
const Linear_Expression& y);
/*! \brief
@@ -40713,7 +40777,7 @@ public:
and assigns the result to \p z.
*/
static void reduced_assign(Coefficient& z,
- const Constraint& c, const Generator& g);
+ const Constraint& c, const Generator& g);
/*! \brief
Computes the \e reduced scalar product of \p g and \p c,
@@ -40721,14 +40785,14 @@ public:
and assigns the result to \p z.
*/
static void reduced_assign(Coefficient& z,
- const Generator& g, const Constraint& c);
+ const Generator& g, const Constraint& c);
//! \brief
//! Computes the \e reduced scalar product of \p g and \p cg,
//! where the \f$\epsilon\f$ coefficient of \p g is ignored,
//! and assigns the result to \p z.
static void reduced_assign(Coefficient& z,
- const Grid_Generator& gg, const Congruence& cg);
+ const Grid_Generator& gg, const Congruence& cg);
/*! \brief
Returns the sign of the \e reduced scalar product of \p x and \p y,
@@ -40755,7 +40819,7 @@ public:
and assigns the result to \p z.
*/
static void homogeneous_assign(Coefficient& z,
- const Linear_Expression& x,
+ const Linear_Expression& x,
const Linear_Expression& y);
/*! \brief
Computes the \e homogeneous scalar product of \p e and \p g,
@@ -40763,15 +40827,15 @@ public:
and assigns the result to \p z.
*/
static void homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Generator& g);
+ const Linear_Expression& e,
+ const Generator& g);
//! \brief
//! Computes the \e homogeneous scalar product of \p gg and \p c,
//! where the inhomogeneous terms are ignored,
//! and assigns the result to \p z.
static void homogeneous_assign(Coefficient& z,
- const Grid_Generator& gg,
+ const Grid_Generator& gg,
const Constraint& c);
//! \brief
@@ -40779,7 +40843,7 @@ public:
//! where the inhomogeneous terms are ignored,
//! and assigns the result to \p z.
static void homogeneous_assign(Coefficient& z,
- const Grid_Generator& gg,
+ const Grid_Generator& gg,
const Congruence& cg);
//! \brief
@@ -40787,8 +40851,8 @@ public:
//! where the inhomogeneous terms are ignored,
//! and assigns the result to \p z.
static void homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Grid_Generator& g);
+ const Linear_Expression& e,
+ const Grid_Generator& g);
/*! \brief
Returns the sign of the \e homogeneous scalar product of \p x and \p y,
@@ -40807,7 +40871,7 @@ public:
//! Returns the sign of the \e homogeneous scalar product of \p e and \p g,
//! where the inhomogeneous terms are ignored,
static int homogeneous_sign(const Linear_Expression& e,
- const Grid_Generator& g);
+ const Grid_Generator& g);
//! \brief
//! Returns the sign of the \e homogeneous scalar product of \p g and \p c,
@@ -40835,21 +40899,22 @@ public:
private:
//! The type of the scalar product sign function pointer.
- typedef int (*SPS_type)(const Linear_Expression&, const Linear_Expression&);
+ typedef int (* const SPS_type)(const Linear_Expression&,
+ const Linear_Expression&);
//! The scalar product sign function pointer.
SPS_type sps_fp;
};
-// NOTE: Scalar_Products.inlines.hh is NOT included here, to avoid cyclic
+// NOTE: Scalar_Products_inlines.hh is NOT included here, to avoid cyclic
// include dependencies.
-/* Automatically generated from PPL source file ../src/Scalar_Products.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Scalar_Products_inlines.hh line 1. */
/* Scalar_Products class implementation (inline functions).
*/
-/* Automatically generated from PPL source file ../src/Scalar_Products.inlines.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Scalar_Products_inlines.hh line 32. */
namespace Parma_Polyhedra_Library {
@@ -40911,33 +40976,33 @@ Scalar_Products::reduced_sign(const Generator& g, const Constraint& c) {
inline void
Scalar_Products::homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Generator& g) {
+ const Linear_Expression& e,
+ const Generator& g) {
homogeneous_assign(z, e, g.expr);
}
inline void
Scalar_Products::homogeneous_assign(Coefficient& z,
- const Linear_Expression& e,
- const Grid_Generator& g) {
+ const Linear_Expression& e,
+ const Grid_Generator& g) {
homogeneous_assign(z, e, g.expr);
}
inline int
Scalar_Products::homogeneous_sign(const Linear_Expression& e,
- const Generator& g) {
+ const Generator& g) {
return homogeneous_sign(e, g.expr);
}
inline int
Scalar_Products::homogeneous_sign(const Linear_Expression& e,
- const Grid_Generator& g) {
+ const Grid_Generator& g) {
return homogeneous_sign(e, g.expr);
}
inline int
Scalar_Products::homogeneous_sign(const Grid_Generator& g,
- const Constraint& c) {
+ const Constraint& c) {
PPL_DIRTY_TEMP_COEFFICIENT(z);
homogeneous_assign(z, g, c);
return sgn(z);
@@ -40947,47 +41012,47 @@ inline
Topology_Adjusted_Scalar_Product_Sign
::Topology_Adjusted_Scalar_Product_Sign(const Constraint& c)
: sps_fp(c.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
}
inline
Topology_Adjusted_Scalar_Product_Sign
::Topology_Adjusted_Scalar_Product_Sign(const Generator& g)
: sps_fp(g.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)) {
}
inline int
Topology_Adjusted_Scalar_Product_Sign::operator()(const Constraint& c,
- const Generator& g) const {
+ const Generator& g) const {
PPL_ASSERT(c.space_dimension() <= g.space_dimension());
PPL_ASSERT(sps_fp == (c.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
return sps_fp(c.expr, g.expr);
}
inline int
Topology_Adjusted_Scalar_Product_Sign::operator()(const Generator& g,
- const Constraint& c) const {
+ const Constraint& c) const {
PPL_ASSERT(g.space_dimension() <= c.space_dimension());
PPL_ASSERT(sps_fp == (g.is_necessarily_closed()
- ? static_cast<SPS_type>(&Scalar_Products::sign)
- : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
+ ? static_cast<SPS_type>(&Scalar_Products::sign)
+ : static_cast<SPS_type>(&Scalar_Products::reduced_sign)));
return sps_fp(g.expr, c.expr);
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.templates.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_templates.hh line 31. */
#include <algorithm>
#include <iostream>
#include <string>
#include <deque>
-/* Automatically generated from PPL source file ../src/swapping_sort.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/swapping_sort_templates.hh line 1. */
/* Sorting objects for which copies cost more than swaps.
*/
@@ -41144,7 +41209,7 @@ swapping_unique(Iter first, Iter last) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.templates.hh line 37. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_templates.hh line 37. */
namespace Parma_Polyhedra_Library {
@@ -41177,9 +41242,9 @@ Linear_System<Row>::merge_rows_assign(const Linear_System& y) {
tmp.max_num_rows()));
dimension_type xi = 0;
- dimension_type x_num_rows = x.num_rows();
+ const dimension_type x_num_rows = x.num_rows();
dimension_type yi = 0;
- dimension_type y_num_rows = y.num_rows();
+ const dimension_type y_num_rows = y.num_rows();
while (xi < x_num_rows && yi < y_num_rows) {
const int comp = compare(x[xi], y[yi]);
@@ -41189,8 +41254,8 @@ Linear_System<Row>::merge_rows_assign(const Linear_System& y) {
swap(tmp.back(), x.rows[xi++]);
tmp.back().set_representation(representation());
if (comp == 0)
- // A duplicate element.
- ++yi;
+ // A duplicate element.
+ ++yi;
}
else {
// (comp > 0)
@@ -41229,8 +41294,8 @@ Linear_System<Row>::ascii_dump(std::ostream& s) const {
// Constraint_System and Generator_System take care of properly
// printing the contents of the system.
s << "topology " << (is_necessarily_closed()
- ? "NECESSARILY_CLOSED"
- : "NOT_NECESSARILY_CLOSED")
+ ? "NECESSARILY_CLOSED"
+ : "NOT_NECESSARILY_CLOSED")
<< "\n"
<< num_rows() << " x " << space_dimension() << " ";
Parma_Polyhedra_Library::ascii_dump(s, representation());
@@ -41282,7 +41347,7 @@ Linear_System<Row>::ascii_load(std::istream& s) {
if (!(s >> str) || (str != "(sorted)" && str != "(not_sorted)"))
return false;
- bool sortedness = (str == "(sorted)");
+ const bool sortedness = (str == "(sorted)");
dimension_type index;
if (!(s >> str) || str != "index_first_pending")
return false;
@@ -41351,11 +41416,12 @@ Linear_System<Row>::insert_pending_no_ok(Row& r, Recycle_Input) {
// TODO: A Grid_Generator_System may contain non-normalized lines that
// represent parameters, so this check is disabled. Consider re-enabling it
// when it's possibile.
- /*
- // The added row must be strongly normalized and have the same
- // number of elements as the existing rows of the system.
- PPL_ASSERT(r.check_strong_normalized());
- */
+#if 0
+ // The added row must be strongly normalized and have the same
+ // number of elements as the existing rows of the system.
+ PPL_ASSERT(r.check_strong_normalized());
+#endif
+
PPL_ASSERT(r.topology() == topology());
r.set_representation(representation());
@@ -41461,14 +41527,15 @@ Linear_System<Row>::remove_space_dimensions(const Variables_Set& vars) {
// NOTE: num_rows() is *not* constant, because it may be decreased by
// remove_row_no_ok().
for (dimension_type i = 0; i < num_rows(); ) {
- bool valid = rows[i].remove_space_dimensions(vars);
+ const bool valid = rows[i].remove_space_dimensions(vars);
if (!valid) {
// Remove the current row.
// We can't call remove_row(i) here, because the system is not OK as
// some rows already have the new space dimension and others still have
// the old one.
remove_row_no_ok(i, false);
- } else
+ }
+ else
++i;
}
@@ -41501,13 +41568,13 @@ Linear_System<Row>::sort_rows() {
template <typename Row>
void
Linear_System<Row>::sort_rows(const dimension_type first_row,
- const dimension_type last_row) {
+ const dimension_type last_row) {
PPL_ASSERT(first_row <= last_row && last_row <= num_rows());
// We cannot mix pending and non-pending rows.
PPL_ASSERT(first_row >= first_pending_row()
|| last_row <= first_pending_row());
- bool sorting_pending = (first_row >= first_pending_row());
+ const bool sorting_pending = (first_row >= first_pending_row());
const dimension_type old_num_pending = num_pending_rows();
const dimension_type num_elems = last_row - first_row;
@@ -41537,7 +41604,8 @@ Linear_System<Row>::sort_rows(const dimension_type first_row,
if (sorting_pending) {
PPL_ASSERT(old_num_pending >= num_duplicates);
index_first_pending = num_rows() - (old_num_pending - num_duplicates);
- } else {
+ }
+ else {
index_first_pending = num_rows() - old_num_pending;
}
@@ -41603,12 +41671,14 @@ Linear_System<Row>::sort_and_remove_with_sat(Bit_Matrix& sat) {
// Build the function objects implementing indirect sort comparison,
// indirect unique comparison and indirect swap operation.
typedef Swapping_Vector<Row> Cont;
- Implementation::Indirect_Sort_Compare<Cont, Row_Less_Than> sort_cmp(rows);
- Unique_Compare unique_cmp(rows);
- Implementation::Indirect_Swapper2<Cont, Bit_Matrix> swapper(rows, sat);
+ const Implementation::Indirect_Sort_Compare<Cont, Row_Less_Than>
+ sort_cmp(rows);
+ const Unique_Compare unique_cmp(rows);
+ const Implementation::Indirect_Swapper2<Cont, Bit_Matrix> swapper(rows, sat);
const dimension_type num_duplicates
- = Implementation::indirect_sort_and_unique(num_elems, sort_cmp, unique_cmp, swapper);
+ = Implementation::indirect_sort_and_unique(num_elems, sort_cmp,
+ unique_cmp, swapper);
const dimension_type new_first_pending_row
= first_pending_row() - num_duplicates;
@@ -41659,13 +41729,13 @@ Linear_System<Row>::gauss(const dimension_type n_lines_or_equalities) {
// Search for the first row having a non-zero coefficient
// (the pivot) in the j-th column.
if ((*this)[i].expr.get(j) == 0)
- continue;
+ continue;
// Pivot found: if needed, swap rows so that this one becomes
// the rank-th row in the linear system.
if (i > rank) {
- swap(rows[i], rows[rank]);
- // After swapping the system is no longer sorted.
- changed = true;
+ swap(rows[i], rows[rank]);
+ // After swapping the system is no longer sorted.
+ changed = true;
}
// Combine the row containing the pivot with all the lines or
// equalities following it, so that all the elements on the j-th
@@ -41716,7 +41786,7 @@ Linear_System<Row>
// looks for the last non-zero element.
// `j' will be the index of such a element.
Row& row_k = rows[k];
- dimension_type j = row_k.expr.last_nonzero();
+ const dimension_type j = row_k.expr.last_nonzero();
// TODO: Check this.
PPL_ASSERT(j != 0);
@@ -41724,16 +41794,16 @@ Linear_System<Row>
for (dimension_type i = k; i-- > 0; ) {
Row& row_i = rows[i];
if (row_i.expr.get(Variable(j - 1)) != 0) {
- // Combine linearly `row_i' with `row_k'
- // so that `row_i[j]' becomes zero.
+ // Combine linearly `row_i' with `row_k'
+ // so that `row_i[j]' becomes zero.
row_i.linear_combine(row_k, j);
- if (still_sorted) {
- // Trying to keep sortedness: remember which rows
- // have to be re-checked for sortedness at the end.
- if (i > 0)
- check_for_sortedness[i-1] = true;
- check_for_sortedness[i] = true;
- }
+ if (still_sorted) {
+ // Trying to keep sortedness: remember which rows
+ // have to be re-checked for sortedness at the end.
+ if (i > 0)
+ check_for_sortedness[i-1] = true;
+ check_for_sortedness[i] = true;
+ }
}
}
@@ -41755,16 +41825,16 @@ Linear_System<Row>
for (dimension_type i = n_lines_or_equalities; i < nrows; ++i) {
Row& row_i = rows[i];
if (row_i.expr.get(Variable(j - 1)) != 0) {
- // Combine linearly the `row_i' with `row_k'
- // so that `row_i[j]' becomes zero.
+ // Combine linearly the `row_i' with `row_k'
+ // so that `row_i[j]' becomes zero.
row_i.linear_combine(row_k, j);
- if (still_sorted) {
- // Trying to keep sortedness: remember which rows
- // have to be re-checked for sortedness at the end.
- if (i > n_lines_or_equalities)
- check_for_sortedness[i-1] = true;
- check_for_sortedness[i] = true;
- }
+ if (still_sorted) {
+ // Trying to keep sortedness: remember which rows
+ // have to be re-checked for sortedness at the end.
+ if (i > n_lines_or_equalities)
+ check_for_sortedness[i-1] = true;
+ check_for_sortedness[i] = true;
+ }
}
}
if (have_to_negate)
@@ -41799,9 +41869,9 @@ Linear_System<Row>::simplify() {
for (dimension_type i = 0; i < nrows; ++i)
if ((*this)[i].is_line_or_equality()) {
if (n_lines_or_equalities < i) {
- swap(rows[i], rows[n_lines_or_equalities]);
- // The system was not sorted.
- PPL_ASSERT(!sorted);
+ swap(rows[i], rows[n_lines_or_equalities]);
+ // The system was not sorted.
+ PPL_ASSERT(!sorted);
}
++n_lines_or_equalities;
}
@@ -41813,7 +41883,7 @@ Linear_System<Row>::simplify() {
n_rays_or_points_or_inequalities = nrows - n_lines_or_equalities;
const dimension_type
num_swaps = std::min(n_lines_or_equalities - rank,
- n_rays_or_points_or_inequalities);
+ n_rays_or_points_or_inequalities);
for (dimension_type i = num_swaps; i-- > 0; )
swap(rows[--nrows], rows[rank + i]);
remove_trailing_rows(old_nrows - nrows);
@@ -41853,7 +41923,8 @@ Linear_System<Row>
le += Variable(c);
Row r(le, Row::LINE_OR_EQUALITY, row_topology);
swap(r, rows[i]);
- } else {
+ }
+ else {
// Variable(c) is the epsilon dimension.
PPL_ASSERT(row_topology == NOT_NECESSARILY_CLOSED);
Linear_Expression le(Variable(c), representation());
@@ -41880,7 +41951,8 @@ Linear_System<Row>
Variable(old_space_dim - 1 + n));
PPL_ASSERT(rows[i].OK());
}
- } else {
+ }
+ else {
dimension_type old_eps_index = old_space_dim - 1;
// The upper-right corner of `rows' contains the J matrix:
// swap coefficients to preserve sortedness.
@@ -42000,7 +42072,7 @@ Linear_System<Row>::OK() const {
if (first_pending_row() > num_rows()) {
#ifndef NDEBUG
cerr << "Linear_System has a negative number of pending rows!"
- << endl;
+ << endl;
#endif
return false;
}
@@ -42011,8 +42083,8 @@ Linear_System<Row>::OK() const {
if (topology() != rows[i].topology()) {
#ifndef NDEBUG
cerr << "Topology mismatch between the system "
- << "and one of its rows!"
- << endl;
+ << "and one of its rows!"
+ << endl;
#endif
return false;
}
@@ -42020,7 +42092,7 @@ Linear_System<Row>::OK() const {
if (sorted && !check_sorted()) {
#ifndef NDEBUG
cerr << "The system declares itself to be sorted but it is not!"
- << endl;
+ << endl;
#endif
return false;
}
@@ -42031,11 +42103,11 @@ Linear_System<Row>::OK() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Linear_System.defs.hh line 581. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_System_defs.hh line 581. */
-/* Automatically generated from PPL source file ../src/Constraint_System.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_defs.hh line 31. */
-/* Automatically generated from PPL source file ../src/Constraint_System.defs.hh line 38. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_defs.hh line 38. */
#include <iterator>
#include <iosfwd>
@@ -42683,14 +42755,14 @@ num_constraints(const Constraint_System& cs);
} // namespace Parma_Polyhedra_Library
-// Constraint_System.inlines.hh is not included here on purpose.
+// Constraint_System_inlines.hh is not included here on purpose.
-/* Automatically generated from PPL source file ../src/Constraint_System.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_inlines.hh line 1. */
/* Constraint_System class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Constraint_System.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constraint_System_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -42723,7 +42795,7 @@ Constraint_System::Constraint_System(const Topology topol, Representation r)
inline
Constraint_System::Constraint_System(const Topology topol,
- const dimension_type space_dim,
+ const dimension_type space_dim,
Representation r)
: sys(topol, space_dim, r) {
}
@@ -42838,7 +42910,7 @@ Constraint_System_const_iterator::operator!=(const Constraint_System_const_itera
inline
Constraint_System_const_iterator::
Constraint_System_const_iterator(const Linear_System<Constraint>::const_iterator& iter,
- const Constraint_System& cs)
+ const Constraint_System& cs)
: i(iter), csp(&cs.sys) {
}
@@ -43102,12 +43174,12 @@ num_constraints(const Constraint_System& cs) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Congruence_System.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_System_defs.hh line 1. */
/* Congruence_System class declaration.
*/
-/* Automatically generated from PPL source file ../src/Congruence_System.defs.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_System_defs.hh line 35. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -43324,10 +43396,10 @@ public:
*/
class const_iterator
: public std::iterator<std::forward_iterator_tag,
- Congruence,
- ptrdiff_t,
- const Congruence*,
- const Congruence&> {
+ Congruence,
+ ptrdiff_t,
+ const Congruence*,
+ const Congruence&> {
public:
//! Default constructor.
const_iterator();
@@ -43376,7 +43448,7 @@ public:
//! Constructor.
const_iterator(const Swapping_Vector<Congruence>::const_iterator& iter,
- const Congruence_System& cgs);
+ const Congruence_System& cgs);
//! \p *this skips to the next non-trivial congruence.
void skip_forward();
@@ -43615,14 +43687,14 @@ swap(Congruence_System& x, Congruence_System& y);
} // namespace Parma_Polyhedra_Library
-// Congruence_System.inlines.hh is not included here on purpose.
+// Congruence_System_inlines.hh is not included here on purpose.
-/* Automatically generated from PPL source file ../src/Congruence_System.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_System_inlines.hh line 1. */
/* Congruence_System class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Congruence_System.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Congruence_System_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -43817,7 +43889,7 @@ Congruence_System::const_iterator::operator!=(const const_iterator& y) const {
inline
Congruence_System::const_iterator::
const_iterator(const Swapping_Vector<Congruence>::const_iterator& iter,
- const Congruence_System& cgs)
+ const Congruence_System& cgs)
: i(iter), csp(&cgs.rows) {
}
@@ -43867,7 +43939,7 @@ swap(Congruence_System& x, Congruence_System& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.inlines.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_inlines.hh line 33. */
namespace Parma_Polyhedra_Library {
@@ -44399,12 +44471,12 @@ Box<ITV>::unconstrain(const Variable var) {
template <typename Temp, typename To, typename ITV>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >
(r, x, y, dir, tmp0, tmp1, tmp2);
}
@@ -44413,9 +44485,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -44427,9 +44499,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename ITV>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
// FIXME: the following qualification is only to work around a bug
// in the Intel C/C++ compiler version 10.1.x.
return Parma_Polyhedra_Library
@@ -44440,12 +44512,12 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >
(r, x, y, dir, tmp0, tmp1, tmp2);
}
@@ -44454,9 +44526,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -44468,9 +44540,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename ITV>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
// FIXME: the following qualification is only to work around a bug
// in the Intel C/C++ compiler version 10.1.x.
return Parma_Polyhedra_Library
@@ -44481,12 +44553,12 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >
(r, x, y, dir, tmp0, tmp1, tmp2);
}
@@ -44495,9 +44567,9 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename ITV>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -44509,9 +44581,9 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename ITV>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x,
- const Box<ITV>& y,
- const Rounding_Dir dir) {
+ const Box<ITV>& x,
+ const Box<ITV>& y,
+ const Rounding_Dir dir) {
// FIXME: the following qualification is only to work around a bug
// in the Intel C/C++ compiler version 10.1.x.
return Parma_Polyhedra_Library
@@ -44527,24 +44599,24 @@ swap(Box<ITV>& x, Box<ITV>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_templates.hh line 1. */
/* Box class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Generator_System.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_System_defs.hh line 1. */
/* Generator_System class declaration.
*/
-/* Automatically generated from PPL source file ../src/Generator_System.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_System_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Poly_Con_Relation.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Con_Relation_defs.hh line 1. */
/* Poly_Con_Relation class declaration.
*/
-/* Automatically generated from PPL source file ../src/Poly_Con_Relation.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Con_Relation_defs.hh line 29. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -44562,7 +44634,7 @@ bool operator!=(const Poly_Con_Relation& x, const Poly_Con_Relation& y);
//! Yields the logical conjunction of \p x and \p y.
/*! \relates Poly_Con_Relation */
Poly_Con_Relation operator&&(const Poly_Con_Relation& x,
- const Poly_Con_Relation& y);
+ const Poly_Con_Relation& y);
/*! \brief
Yields the assertion with all the conjuncts of \p x
@@ -44571,7 +44643,7 @@ Poly_Con_Relation operator&&(const Poly_Con_Relation& x,
\relates Poly_Con_Relation
*/
Poly_Con_Relation operator-(const Poly_Con_Relation& x,
- const Poly_Con_Relation& y);
+ const Poly_Con_Relation& y);
namespace IO_Operators {
@@ -44680,7 +44752,7 @@ public:
bool OK() const;
};
-/* Automatically generated from PPL source file ../src/Poly_Con_Relation.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Con_Relation_inlines.hh line 1. */
/* Poly_Con_Relation class implementation: inline functions.
*/
@@ -44758,9 +44830,9 @@ operator-(const Poly_Con_Relation& x, const Poly_Con_Relation& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Poly_Con_Relation.defs.hh line 165. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Con_Relation_defs.hh line 165. */
-/* Automatically generated from PPL source file ../src/Generator_System.defs.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_System_defs.hh line 35. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -45243,7 +45315,7 @@ private:
contains closure points.
*/
bool adjust_topology_and_space_dimension(Topology new_topology,
- dimension_type new_space_dim);
+ dimension_type new_space_dim);
/*! \brief
For each unmatched closure point in \p *this, adds the
@@ -45338,8 +45410,8 @@ private:
\p expr is a constant parameter and unaltered by this computation.
*/
void affine_image(Variable v,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator);
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator);
//! Returns the number of lines of the system.
dimension_type num_lines() const;
@@ -45468,14 +45540,14 @@ private:
void skip_forward();
};
-// Generator_System.inlines.hh is not included here on purpose.
+// Generator_System_inlines.hh is not included here on purpose.
-/* Automatically generated from PPL source file ../src/Generator_System.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_System_inlines.hh line 1. */
/* Generator_System class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Generator_System.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Generator_System_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -45508,7 +45580,7 @@ Generator_System::Generator_System(const Topology topol, Representation r)
inline
Generator_System::Generator_System(const Topology topol,
- const dimension_type space_dim,
+ const dimension_type space_dim,
Representation r)
: sys(topol, space_dim, r) {
}
@@ -45859,12 +45931,12 @@ swap(Generator_System& x, Generator_System& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Poly_Gen_Relation.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Gen_Relation_defs.hh line 1. */
/* Poly_Gen_Relation class declaration.
*/
-/* Automatically generated from PPL source file ../src/Poly_Gen_Relation.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Gen_Relation_defs.hh line 29. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -45882,7 +45954,7 @@ bool operator!=(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y);
//! Yields the logical conjunction of \p x and \p y.
/*! \relates Poly_Gen_Relation */
Poly_Gen_Relation operator&&(const Poly_Gen_Relation& x,
- const Poly_Gen_Relation& y);
+ const Poly_Gen_Relation& y);
/*! \brief
Yields the assertion with all the conjuncts of \p x
@@ -45891,7 +45963,7 @@ Poly_Gen_Relation operator&&(const Poly_Gen_Relation& x,
\relates Poly_Gen_Relation
*/
Poly_Gen_Relation operator-(const Poly_Gen_Relation& x,
- const Poly_Gen_Relation& y);
+ const Poly_Gen_Relation& y);
namespace IO_Operators {
@@ -45973,7 +46045,7 @@ public:
bool OK() const;
};
-/* Automatically generated from PPL source file ../src/Poly_Gen_Relation.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Gen_Relation_inlines.hh line 1. */
/* Poly_Gen_Relation class implementation: inline functions.
*/
@@ -46036,14 +46108,14 @@ operator-(const Poly_Gen_Relation& x, const Poly_Gen_Relation& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Poly_Gen_Relation.defs.hh line 138. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Poly_Gen_Relation_defs.hh line 138. */
-/* Automatically generated from PPL source file ../src/Polyhedron.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_defs.hh line 1. */
/* Polyhedron class declaration.
*/
-/* Automatically generated from PPL source file ../src/H79_Certificate.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/H79_Certificate_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -46052,7 +46124,7 @@ class H79_Certificate;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron.defs.hh line 51. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_defs.hh line 51. */
#include <vector>
#include <iosfwd>
@@ -46409,8 +46481,8 @@ protected:
Specifies whether the universe or the empty polyhedron has to be built.
*/
Polyhedron(Topology topol,
- dimension_type num_dimensions,
- Degenerate_Element kind);
+ dimension_type num_dimensions,
+ Degenerate_Element kind);
//! Ordinary copy constructor.
/*!
@@ -46673,7 +46745,7 @@ public:
and \p maximum are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -46704,8 +46776,8 @@ public:
and \p g are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -46732,7 +46804,7 @@ public:
and \p minimum are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -46763,8 +46835,8 @@ public:
and \p g are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if there exist a
@@ -47202,14 +47274,14 @@ public:
is different from zero.
-# If the transformation is invertible, then we can write
\f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
- = a_\mathrm{var} x_\mathrm{var}
- + \sum_{i \neq var} a_i x_i + b,
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
+ = a_\mathrm{var} x_\mathrm{var}
+ + \sum_{i \neq var} a_i x_i + b,
\f]
so that the inverse transformation is
\f[
- a_\mathrm{var} x_\mathrm{var}
+ a_\mathrm{var} x_\mathrm{var}
= \mathrm{denominator} * {x'}_\mathrm{var}
- \sum_{i \neq j} a_i x_i - b.
\f]
@@ -47226,9 +47298,9 @@ public:
\vect{x} = (x_0, \ldots, x_{n-1})^\mathrm{T}
\bigm|
\vect{x} = \vect{\lambda} R + \vect{\mu} V,
- \vect{\lambda} \in \Rset^{m_1}_+,
- \vect{\mu} \in \Rset^{m_2}_+,
- \sum_{i = 0}^{m_2 - 1} \mu_i = 1
+ \vect{\lambda} \in \Rset^{m_1}_+,
+ \vect{\mu} \in \Rset^{m_2}_+,
+ \sum_{i = 0}^{m_2 - 1} \mu_i = 1
\,\bigr\}
\f]
and \f$T\f$ is the affine transformation to apply to \f$P\f$, then
@@ -47249,9 +47321,9 @@ public:
\endif
*/
void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
// FIXME: To be completed.
/*!
@@ -47320,14 +47392,14 @@ public:
is different from zero.
-# If the transformation is invertible, then we can write
\f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
= a_\mathrm{var} x_\mathrm{var}
+ \sum_{i \neq \mathrm{var}} a_i x_i + b,
\f],
the inverse transformation is
\f[
- a_\mathrm{var} x_\mathrm{var}
+ a_\mathrm{var} x_\mathrm{var}
= \mathrm{denominator} * {x'}_\mathrm{var}
- \sum_{i \neq j} a_i x_i - b.
\f].
@@ -47367,9 +47439,9 @@ public:
\endif
*/
void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -47398,10 +47470,10 @@ public:
relation symbol.
*/
void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -47431,10 +47503,10 @@ public:
*/
void
generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -47457,8 +47529,8 @@ public:
relation symbol.
*/
void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -47481,8 +47553,8 @@ public:
relation symbol.
*/
void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*!
\brief
@@ -47511,10 +47583,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*!
\brief
@@ -47543,10 +47615,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the result of computing the
@@ -47688,8 +47760,8 @@ public:
dimension-incompatible.
*/
void limited_BHRZ03_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
+ const Constraint_System& cs,
+ unsigned* tp = 0);
/*! \brief
Assigns to \p *this the result of computing the
@@ -47713,8 +47785,8 @@ public:
dimension-incompatible.
*/
void bounded_BHRZ03_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
+ const Constraint_System& cs,
+ unsigned* tp = 0);
/*! \brief
Assigns to \p *this the result of computing the
@@ -47759,8 +47831,8 @@ public:
dimension-incompatible.
*/
void limited_H79_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
+ const Constraint_System& cs,
+ unsigned* tp = 0);
/*! \brief
Assigns to \p *this the result of computing the
@@ -47784,8 +47856,8 @@ public:
dimension-incompatible.
*/
void bounded_H79_extrapolation_assign(const Polyhedron& y,
- const Constraint_System& cs,
- unsigned* tp = 0);
+ const Constraint_System& cs,
+ unsigned* tp = 0);
//@} // Space Dimension Preserving Member Functions that May Modify [...]
@@ -48033,13 +48105,13 @@ private:
Bit_Matrix sat_g;
#define PPL_IN_Polyhedron_CLASS
-/* Automatically generated from PPL source file ../src/Ph_Status.idefs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ph_Status_idefs.hh line 1. */
/* Polyhedron::Status class declaration.
*/
#ifndef PPL_IN_Polyhedron_CLASS
-#error "Do not include Ph_Status.idefs.hh directly; use Polyhedron.defs.hh instead"
+#error "Do not include Ph_Status_idefs.hh directly; use Polyhedron_defs.hh instead"
#endif
//! A conjunctive assertion about a polyhedron.
@@ -48194,7 +48266,7 @@ private:
void reset(flags_t mask);
};
-/* Automatically generated from PPL source file ../src/Polyhedron.defs.hh line 2032. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_defs.hh line 2032. */
#undef PPL_IN_Polyhedron_CLASS
//! The status flags to keep track of the polyhedron's internal state.
@@ -48624,9 +48696,9 @@ private:
\p included and \p g are left untouched.
*/
bool max_min(const Linear_Expression& expr,
- bool maximize,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator& g) const;
+ bool maximize,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator& g) const;
//! \name Widening- and Extrapolation-Related Functions
//@{
@@ -48636,7 +48708,7 @@ private:
to the definition of the CH78-widening of \p *this and \p y.
*/
void select_CH78_constraints(const Polyhedron& y,
- Constraint_System& cs_selection) const;
+ Constraint_System& cs_selection) const;
/*! \brief
Splits the constraints of `x' into two subsets, depending on whether
@@ -48644,21 +48716,21 @@ private:
of \p *this and \p y.
*/
void select_H79_constraints(const Polyhedron& y,
- Constraint_System& cs_selected,
- Constraint_System& cs_not_selected) const;
+ Constraint_System& cs_selected,
+ Constraint_System& cs_not_selected) const;
bool BHRZ03_combining_constraints(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79,
- const Constraint_System& x_minus_H79_cs);
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79,
+ const Constraint_System& x_minus_H79_cs);
bool BHRZ03_evolving_points(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79);
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79);
bool BHRZ03_evolving_rays(const Polyhedron& y,
- const BHRZ03_Certificate& y_cert,
- const Polyhedron& H79);
+ const BHRZ03_Certificate& y_cert,
+ const Polyhedron& H79);
static void modify_according_to_evolution(Linear_Expression& ray,
const Linear_Expression& x,
@@ -48696,10 +48768,10 @@ private:
*/
template <typename Linear_System1, typename Linear_System2>
static void add_space_dimensions(Linear_System1& sys1,
- Linear_System2& sys2,
- Bit_Matrix& sat1,
- Bit_Matrix& sat2,
- dimension_type add_dim);
+ Linear_System2& sys2,
+ Bit_Matrix& sat1,
+ Bit_Matrix& sat2,
+ dimension_type add_dim);
//! \name Minimization-Related Static Member Functions
//@{
@@ -48708,9 +48780,9 @@ private:
// Detailed Doxygen comment to be found in file minimize.cc.
template <typename Source_Linear_System, typename Dest_Linear_System>
static bool minimize(bool con_to_gen,
- Source_Linear_System& source,
- Dest_Linear_System& dest,
- Bit_Matrix& sat);
+ Source_Linear_System& source,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat);
/*! \brief
Adds given constraints and builds minimized corresponding generators
@@ -48720,10 +48792,10 @@ private:
template <typename Source_Linear_System1, typename Source_Linear_System2,
typename Dest_Linear_System>
static bool add_and_minimize(bool con_to_gen,
- Source_Linear_System1& source1,
- Dest_Linear_System& dest,
- Bit_Matrix& sat,
- const Source_Linear_System2& source2);
+ Source_Linear_System1& source1,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat,
+ const Source_Linear_System2& source2);
/*! \brief
Adds given constraints and builds minimized corresponding generators
@@ -48732,18 +48804,18 @@ private:
// Detailed Doxygen comment to be found in file minimize.cc.
template <typename Source_Linear_System, typename Dest_Linear_System>
static bool add_and_minimize(bool con_to_gen,
- Source_Linear_System& source,
- Dest_Linear_System& dest,
- Bit_Matrix& sat);
+ Source_Linear_System& source,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat);
//! Performs the conversion from constraints to generators and vice versa.
// Detailed Doxygen comment to be found in file conversion.cc.
template <typename Source_Linear_System, typename Dest_Linear_System>
static dimension_type conversion(Source_Linear_System& source,
- dimension_type start,
- Dest_Linear_System& dest,
- Bit_Matrix& sat,
- dimension_type num_lines_or_equalities);
+ dimension_type start,
+ Dest_Linear_System& dest,
+ Bit_Matrix& sat,
+ dimension_type num_lines_or_equalities);
/*! \brief
Uses Gauss' elimination method to simplify the result of
@@ -48810,57 +48882,57 @@ protected:
void throw_invalid_argument(const char* method, const char* reason) const;
void throw_topology_incompatible(const char* method,
- const char* ph_name,
- const Polyhedron& ph) const;
+ const char* ph_name,
+ const Polyhedron& ph) const;
void throw_topology_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const;
+ const char* c_name,
+ const Constraint& c) const;
void throw_topology_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const;
+ const char* g_name,
+ const Generator& g) const;
void throw_topology_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const;
+ const char* cs_name,
+ const Constraint_System& cs) const;
void throw_topology_incompatible(const char* method,
- const char* gs_name,
- const Generator_System& gs) const;
+ const char* gs_name,
+ const Generator_System& gs) const;
void throw_dimension_incompatible(const char* method,
- const char* other_name,
- dimension_type other_dim) const;
+ const char* other_name,
+ dimension_type other_dim) const;
void throw_dimension_incompatible(const char* method,
- const char* ph_name,
- const Polyhedron& ph) const;
+ const char* ph_name,
+ const Polyhedron& ph) const;
void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
+ const char* le_name,
+ const Linear_Expression& le) const;
void throw_dimension_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const;
+ const char* c_name,
+ const Constraint& c) const;
void throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const;
+ const char* g_name,
+ const Generator& g) const;
void throw_dimension_incompatible(const char* method,
- const char* cg_name,
- const Congruence& cg) const;
+ const char* cg_name,
+ const Congruence& cg) const;
void throw_dimension_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const;
+ const char* cs_name,
+ const Constraint_System& cs) const;
void throw_dimension_incompatible(const char* method,
- const char* gs_name,
- const Generator_System& gs) const;
+ const char* gs_name,
+ const Generator_System& gs) const;
void throw_dimension_incompatible(const char* method,
- const char* cgs_name,
- const Congruence_System& cgs) const;
+ const char* cgs_name,
+ const Congruence_System& cgs) const;
template <typename C>
void throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const;
+ const char* lf_name,
+ const Linear_Form<C>& lf) const;
void throw_dimension_incompatible(const char* method,
- const char* var_name,
- Variable var) const;
+ const char* var_name,
+ Variable var) const;
void throw_dimension_incompatible(const char* method,
- dimension_type required_space_dim) const;
+ dimension_type required_space_dim) const;
// Note: the following three methods need to be static, because they
// can be called inside constructors (before actually constructing the
@@ -48880,10 +48952,10 @@ protected:
const char* method, const char* reason);
void throw_invalid_generator(const char* method,
- const char* g_name) const;
+ const char* g_name) const;
void throw_invalid_generators(const char* method,
- const char* gs_name) const;
+ const char* gs_name) const;
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//@} // Exception Throwers
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
@@ -48951,7 +49023,7 @@ protected:
*/
template <typename FP_Format, typename Interval_Info>
static void convert_to_integer_expression(
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
const dimension_type lf_dimension,
Linear_Expression& result);
@@ -48998,7 +49070,7 @@ protected:
const Row2& eq);
};
-/* Automatically generated from PPL source file ../src/Ph_Status.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ph_Status_inlines.hh line 1. */
/* Polyhedron::Status class implementation: inline functions.
*/
@@ -49193,12 +49265,12 @@ Polyhedron::Status::set_sat_g_up_to_date() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_inlines.hh line 1. */
/* Polyhedron class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Polyhedron.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_inlines.hh line 29. */
#include <algorithm>
#include <deque>
@@ -49225,10 +49297,10 @@ Polyhedron::max_space_dimension() {
// One dimension is reserved to have a value of type dimension_type
// that does not represent a legal dimension.
return min(std::numeric_limits<dimension_type>::max() - 1,
- min(Constraint_System::max_space_dimension(),
- Generator_System::max_space_dimension()
- )
- );
+ min(Constraint_System::max_space_dimension(),
+ Generator_System::max_space_dimension()
+ )
+ );
}
inline Topology
@@ -49471,13 +49543,11 @@ Polyhedron::process_pending() const {
PPL_ASSERT(space_dim > 0 && !marked_empty());
PPL_ASSERT(has_something_pending());
- Polyhedron& x = const_cast<Polyhedron&>(*this);
+ if (has_pending_constraints())
+ return process_pending_constraints();
- if (x.has_pending_constraints())
- return x.process_pending_constraints();
-
- PPL_ASSERT(x.has_pending_generators());
- x.process_pending_generators();
+ PPL_ASSERT(has_pending_generators());
+ process_pending_generators();
return true;
}
@@ -49493,31 +49563,31 @@ Polyhedron::bounds_from_below(const Linear_Expression& expr) const {
inline bool
Polyhedron::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
Generator g(point());
return max_min(expr, true, sup_n, sup_d, maximum, g);
}
inline bool
Polyhedron::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const {
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const {
return max_min(expr, true, sup_n, sup_d, maximum, g);
}
inline bool
Polyhedron::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
Generator g(point());
return max_min(expr, false, inf_n, inf_d, minimum, g);
}
inline bool
Polyhedron::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const {
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const {
return max_min(expr, false, inf_n, inf_d, minimum, g);
}
@@ -49550,8 +49620,8 @@ Polyhedron::add_recycled_congruences(Congruence_System& cgs) {
template <typename FP_Format, typename Interval_Info>
inline void
Polyhedron::generalized_refine_with_linear_form_inequality(
- const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
- const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& left,
+ const Linear_Form< Interval<FP_Format, Interval_Info> >& right,
const Relation_Symbol relsym) {
switch (relsym) {
case EQUAL:
@@ -49609,13 +49679,13 @@ Polyhedron::strictly_contains(const Polyhedron& y) const {
inline void
Polyhedron::drop_some_non_integer_points(Complexity_Class complexity) {
- const Variables_Set* p_vs = 0;
+ const Variables_Set* const p_vs = 0;
drop_some_non_integer_points(p_vs, complexity);
}
inline void
Polyhedron::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity) {
+ Complexity_Class complexity) {
drop_some_non_integer_points(&vars, complexity);
}
@@ -49631,22 +49701,22 @@ is_necessarily_closed_for_interfaces(const Polyhedron& ph) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_templates.hh line 1. */
/* Polyhedron class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/MIP_Problem.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_defs.hh line 1. */
/* MIP_Problem class declaration.
*/
-/* Automatically generated from PPL source file ../src/Matrix.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Matrix_defs.hh line 1. */
/* Matrix class declaration.
*/
-/* Automatically generated from PPL source file ../src/Matrix.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Matrix_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -49656,7 +49726,7 @@ class Matrix;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Matrix.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Matrix_defs.hh line 31. */
#include <ostream>
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -50060,7 +50130,7 @@ bool operator!=(const Matrix<Row>& x, const Matrix<Row>& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Matrix.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Matrix_inlines.hh line 1. */
/* Matrix class implementation: inline functions.
*/
@@ -50238,7 +50308,7 @@ swap(Matrix<Row>& x, Matrix<Row>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Matrix.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Matrix_templates.hh line 1. */
/* Matrix class implementation: non-inline template functions.
*/
@@ -50274,7 +50344,8 @@ Matrix<Row>::resize(dimension_type num_rows, dimension_type num_columns) {
for (dimension_type i = 0; i < old_num_rows; ++i)
rows[i].resize(num_columns);
}
- } else
+ }
+ else
if (num_columns_ != num_columns) {
num_columns_ = num_columns;
for (dimension_type i = 0; i < num_rows; ++i)
@@ -50417,9 +50488,9 @@ operator!=(const Matrix<Row>& x, const Matrix<Row>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Matrix.defs.hh line 436. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Matrix_defs.hh line 436. */
-/* Automatically generated from PPL source file ../src/MIP_Problem.defs.hh line 37. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_defs.hh line 37. */
#include <vector>
#include <deque>
#include <iterator>
@@ -51014,12 +51085,7 @@ private:
void add_constraint_helper(const Constraint& c);
//! Processes the pending constraints of \p *this.
- /*!
- \return
- <CODE>true</CODE> if and only if the MIP problem is satisfiable after
- processing the pending constraints, <CODE>false</CODE> otherwise.
- */
- bool process_pending_constraints();
+ void process_pending_constraints();
/*! \brief
Optimizes the MIP problem using the second phase of the
@@ -51096,11 +51162,11 @@ private:
that the variable is nonnegative.
*/
bool parse_constraints(dimension_type& additional_tableau_rows,
- dimension_type& additional_slack_variables,
- std::deque<bool>& is_tableau_constraint,
- std::deque<bool>& is_satisfied_inequality,
- std::deque<bool>& is_nonnegative_variable,
- std::deque<bool>& is_remergeable_variable) const;
+ dimension_type& additional_slack_variables,
+ std::deque<bool>& is_tableau_constraint,
+ std::deque<bool>& is_satisfied_inequality,
+ std::deque<bool>& is_nonnegative_variable,
+ std::deque<bool>& is_remergeable_variable) const;
/*! \brief
Computes the row index of the variable exiting the base
@@ -51264,7 +51330,7 @@ private:
dimension_type end_artificials);
bool is_in_base(dimension_type var_index,
- dimension_type& row_index) const;
+ dimension_type& row_index) const;
/*! \brief
Computes a valid generator that satisfies all the constraints of the
@@ -51360,12 +51426,12 @@ private:
dimension_type& branching_index);
};
-/* Automatically generated from PPL source file ../src/MIP_Problem.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_inlines.hh line 1. */
/* MIP_Problem class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/MIP_Problem.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_inlines.hh line 28. */
#include <stdexcept>
namespace Parma_Polyhedra_Library {
@@ -51400,9 +51466,8 @@ MIP_Problem::MIP_Problem(const MIP_Problem& y)
last_generator(y.last_generator),
i_variables(y.i_variables) {
input_cs.reserve(y.input_cs.size());
- for (Constraint_Sequence::const_iterator
- i = y.input_cs.begin(), i_end = y.input_cs.end();
- i != i_end; ++i)
+ for (Constraint_Sequence::const_iterator i = y.input_cs.begin(),
+ i_end = y.input_cs.end(); i != i_end; ++i)
add_constraint_helper(*(*i));
PPL_ASSERT(OK());
}
@@ -51660,12 +51725,12 @@ swap(MIP_Problem& x, MIP_Problem& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/MIP_Problem.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_templates.hh line 1. */
/* MIP_Problem class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/MIP_Problem.templates.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_templates.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -51819,16 +51884,16 @@ MIP_Problem::MIP_Problem(dimension_type dim,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/MIP_Problem.defs.hh line 979. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/MIP_Problem_defs.hh line 974. */
-/* Automatically generated from PPL source file ../src/Polyhedron.templates.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_templates.hh line 31. */
// For static method overflows.
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Floating_Point_Expression class and its constituents.
*/
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -51838,14 +51903,13 @@ class Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_defs.hh line 31. */
#include <cmath>
#include <map>
namespace Parma_Polyhedra_Library {
-/*! \brief
- \ingroup PPL_CXX_Interface
+/*! \ingroup PPL_CXX_Interface \brief
A floating point expression on a given format.
This class represents a concrete <EM>floating point expression</EM>. This
@@ -51860,7 +51924,7 @@ namespace Parma_Polyhedra_Library {
- The class template type parameter \p FP_Format represents the floating
point format used in the concrete domain.
This parameter must be a struct similar to the ones defined in file
- Float.defs.hh, even though it is sufficient to define the three
+ Float_defs.hh, even though it is sufficient to define the three
fields BASE, MANTISSA_BITS and EXPONENT_BIAS.
*/
template <typename FP_Interval_Type, typename FP_Format>
@@ -52018,12 +52082,12 @@ FP_Interval_Type Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_inlines.hh line 1. */
/* Floating_Point_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -52050,13 +52114,13 @@ Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_templates.hh line 1. */
/* Floating_Point_Expression class implementation:
non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.templates.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_templates.hh line 29. */
#include <cmath>
namespace Parma_Polyhedra_Library {
@@ -52139,9 +52203,9 @@ Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Floating_Point_Expression.defs.hh line 212. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Floating_Point_Expression_defs.hh line 211. */
-/* Automatically generated from PPL source file ../src/Polyhedron.templates.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_templates.hh line 33. */
#include <algorithm>
#include <deque>
@@ -52263,9 +52327,9 @@ Polyhedron::map_space_dimensions(const Partial_Function& pfunc) {
if (pfunc.has_empty_codomain()) {
// All dimensions vanish: the polyhedron becomes zero_dimensional.
if (marked_empty()
- || (has_pending_constraints()
- && !remove_pending_to_obtain_generators())
- || (!generators_are_up_to_date() && !update_generators())) {
+ || (has_pending_constraints()
+ && !remove_pending_to_obtain_generators())
+ || (!generators_are_up_to_date() && !update_generators())) {
// Removing all dimensions from the empty polyhedron.
space_dim = 0;
con_sys.clear();
@@ -52354,28 +52418,28 @@ Polyhedron::map_space_dimensions(const Partial_Function& pfunc) {
Generator_System new_gensys;
for (Generator_System::const_iterator i = old_gensys.begin(),
- old_gensys_end = old_gensys.end(); i != old_gensys_end; ++i) {
+ old_gensys_end = old_gensys.end(); i != old_gensys_end; ++i) {
const Generator& old_g = *i;
- const Generator::Expression& old_e = old_g.expression();
+ const Generator::expr_type old_e = old_g.expression();
Linear_Expression expr;
expr.set_space_dimension(new_space_dimension);
bool all_zeroes = true;
- for (Generator::Expression::const_iterator j = old_e.begin(),
+ for (Generator::expr_type::const_iterator j = old_e.begin(),
j_end = old_e.end(); j != j_end; ++j) {
const dimension_type mapped_id = pfunc_maps[j.variable().id()];
if (mapped_id != not_a_dimension()) {
add_mul_assign(expr, *j, Variable(mapped_id));
- all_zeroes = false;
+ all_zeroes = false;
}
}
switch (old_g.type()) {
case Generator::LINE:
if (!all_zeroes)
- new_gensys.insert(line(expr));
+ new_gensys.insert(line(expr));
break;
case Generator::RAY:
if (!all_zeroes)
- new_gensys.insert(ray(expr));
+ new_gensys.insert(ray(expr));
break;
case Generator::POINT:
// A point in the origin has all zero homogeneous coefficients.
@@ -52607,7 +52671,7 @@ Polyhedron::convert_to_integer_expression(
template <typename FP_Format, typename Interval_Info>
void
Polyhedron::convert_to_integer_expressions(
- const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
+ const Linear_Form<Interval <FP_Format, Interval_Info> >& lf,
const dimension_type lf_dimension, Linear_Expression& res,
Coefficient& res_low_coeff, Coefficient& res_hi_coeff,
Coefficient& denominator) {
@@ -52669,8 +52733,8 @@ Polyhedron::convert_to_integer_expressions(
template <typename C>
void
Polyhedron::throw_dimension_incompatible(const char* method,
- const char* lf_name,
- const Linear_Form<C>& lf) const {
+ const char* lf_name,
+ const Linear_Form<C>& lf) const {
throw_dimension_incompatible(method, lf_name, lf.space_dimension());
}
@@ -52688,7 +52752,7 @@ Polyhedron::check_obj_space_dimension_overflow(Input& input,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron_chdims.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_chdims_templates.hh line 1. */
/* Polyhedron class implementation (non-inline template operators that
may change the dimension of the vector space).
*/
@@ -52729,12 +52793,12 @@ Polyhedron::add_space_dimensions(Linear_System1& sys1,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron_conversion.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_conversion_templates.hh line 1. */
/* Polyhedron class implementation: conversion().
*/
-/* Automatically generated from PPL source file ../src/Polyhedron_conversion.templates.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_conversion_templates.hh line 34. */
#include <cstddef>
#include <climits>
@@ -52802,7 +52866,7 @@ namespace Parma_Polyhedra_Library {
C\vect{x} \geq \vect{0}
\quad\iff\quad
\exists \vect{\lambda} \geq \vect{0} \mathrel{.}
- \vect{x} = G\vect{\lambda}.
+ \vect{x} = G\vect{\lambda}.
\f]
The term "double description" is quite natural in the sense that
@@ -52850,7 +52914,7 @@ namespace Parma_Polyhedra_Library {
-# \f$
\forall \vect{y}
\mathrel{:} (A\vect{y} \geq 0 \implies
- \langle \vect{y},\vect{c} \rangle \geq 0)
+ \langle \vect{y},\vect{c} \rangle \geq 0)
\f$;
-# \f$
\exists \vect{\lambda} \geq \vect{0}
@@ -53066,7 +53130,7 @@ Polyhedron::conversion(Source_Linear_System& source,
const dimension_type source_space_dim = source.space_dimension();
const dimension_type source_num_rows = source.num_rows();
const dimension_type source_num_columns = source_space_dim
- + (source.is_necessarily_closed() ? 1 : 2);
+ + (source.is_necessarily_closed() ? 1U : 2U);
dimension_type dest_num_rows = dest.num_rows();
@@ -53115,12 +53179,12 @@ Polyhedron::conversion(Source_Linear_System& source,
for ( ; index_non_zero < dest_num_rows; ++index_non_zero) {
WEIGHT_BEGIN();
Scalar_Products::assign(scalar_prod[index_non_zero],
- source_k,
- dest.sys.rows[index_non_zero]);
+ source_k,
+ dest.sys.rows[index_non_zero]);
WEIGHT_ADD_MUL(17, source_space_dim);
if (scalar_prod[index_non_zero] != 0)
- // The generator does not saturate the constraint.
- break;
+ // The generator does not saturate the constraint.
+ break;
// Check if the client has requested abandoning all expensive
// computations. If so, the exception specified by the client
// is thrown now.
@@ -53153,9 +53217,9 @@ Polyhedron::conversion(Source_Linear_System& source,
// the constraint (namely, the ray whose scalar product
// with the constraint gives a positive result).
if (scalar_prod[index_non_zero] < 0) {
- // The ray `dest_rows[index_non_zero]' lies on the wrong half-space:
- // we change it to have the opposite direction.
- neg_assign(scalar_prod[index_non_zero]);
+ // The ray `dest_rows[index_non_zero]' lies on the wrong half-space:
+ // we change it to have the opposite direction.
+ neg_assign(scalar_prod[index_non_zero]);
neg_assign(dest.sys.rows[index_non_zero].expr);
// The modified row may still not be OK(), so don't assert OK here.
// They are all checked at the end of this function.
@@ -53168,7 +53232,7 @@ Polyhedron::conversion(Source_Linear_System& source,
if (index_non_zero != num_lines_or_equalities) {
swap(dest.sys.rows[index_non_zero],
dest.sys.rows[num_lines_or_equalities]);
- swap(scalar_prod[index_non_zero],
+ swap(scalar_prod[index_non_zero],
scalar_prod[num_lines_or_equalities]);
}
const dest_row_type& dest_nle = dest.sys.rows[num_lines_or_equalities];
@@ -53191,34 +53255,34 @@ Polyhedron::conversion(Source_Linear_System& source,
Coefficient& scalar_prod_nle = scalar_prod[num_lines_or_equalities];
PPL_ASSERT(scalar_prod_nle != 0);
for (dimension_type
- i = index_non_zero; i < num_lines_or_equalities; ++i) {
- if (scalar_prod[i] != 0) {
- // The following fragment optimizes the computation of
- //
+ i = index_non_zero; i < num_lines_or_equalities; ++i) {
+ if (scalar_prod[i] != 0) {
+ // The following fragment optimizes the computation of
+ //
// <CODE>
- // Coefficient scale = scalar_prod[i];
- // scale.gcd_assign(scalar_prod_nle);
- // Coefficient normalized_sp_i = scalar_prod[i] / scale;
- // Coefficient normalized_sp_n = scalar_prod_nle / scale;
- // for (dimension_type c = dest_num_columns; c-- > 0; ) {
- // dest[i][c] *= normalized_sp_n;
- // dest[i][c] -= normalized_sp_i * dest_nle[c];
- // }
+ // Coefficient scale = scalar_prod[i];
+ // scale.gcd_assign(scalar_prod_nle);
+ // Coefficient normalized_sp_i = scalar_prod[i] / scale;
+ // Coefficient normalized_sp_n = scalar_prod_nle / scale;
+ // for (dimension_type c = dest_num_columns; c-- > 0; ) {
+ // dest[i][c] *= normalized_sp_n;
+ // dest[i][c] -= normalized_sp_i * dest_nle[c];
+ // }
// </CODE>
- normalize2(scalar_prod[i],
- scalar_prod_nle,
- normalized_sp_i,
- normalized_sp_o);
+ normalize2(scalar_prod[i],
+ scalar_prod_nle,
+ normalized_sp_i,
+ normalized_sp_o);
dest_row_type& dest_i = dest.sys.rows[i];
neg_assign(normalized_sp_i);
dest_i.expr.linear_combine(dest_nle.expr,
normalized_sp_o, normalized_sp_i);
- dest_i.strong_normalize();
+ dest_i.strong_normalize();
// The modified row may still not be OK(), so don't assert OK here.
// They are all checked at the end of this function.
- scalar_prod[i] = 0;
- // dest_sorted has already been set to false.
- }
+ scalar_prod[i] = 0;
+ // dest_sorted has already been set to false.
+ }
}
// Computing the new pointed cone.
@@ -53229,40 +53293,40 @@ Polyhedron::conversion(Source_Linear_System& source,
// are positively combined with the ray `dest_nle' so that the
// resulting new rays saturate the constraint.
for (dimension_type
- i = num_lines_or_equalities + 1; i < dest_num_rows; ++i) {
- if (scalar_prod[i] != 0) {
- // The following fragment optimizes the computation of
- //
+ i = num_lines_or_equalities + 1; i < dest_num_rows; ++i) {
+ if (scalar_prod[i] != 0) {
+ // The following fragment optimizes the computation of
+ //
// <CODE>
- // Coefficient scale = scalar_prod[i];
- // scale.gcd_assign(scalar_prod_nle);
- // Coefficient normalized_sp_i = scalar_prod[i] / scale;
- // Coefficient normalized_sp_n = scalar_prod_nle / scale;
- // for (dimension_type c = dest_num_columns; c-- > 0; ) {
- // dest[i][c] *= normalized_sp_n;
- // dest[i][c] -= normalized_sp_i * dest_nle[c];
- // }
+ // Coefficient scale = scalar_prod[i];
+ // scale.gcd_assign(scalar_prod_nle);
+ // Coefficient normalized_sp_i = scalar_prod[i] / scale;
+ // Coefficient normalized_sp_n = scalar_prod_nle / scale;
+ // for (dimension_type c = dest_num_columns; c-- > 0; ) {
+ // dest[i][c] *= normalized_sp_n;
+ // dest[i][c] -= normalized_sp_i * dest_nle[c];
+ // }
// </CODE>
- normalize2(scalar_prod[i],
- scalar_prod_nle,
- normalized_sp_i,
- normalized_sp_o);
+ normalize2(scalar_prod[i],
+ scalar_prod_nle,
+ normalized_sp_i,
+ normalized_sp_o);
dest_row_type& dest_i = dest.sys.rows[i];
WEIGHT_BEGIN();
neg_assign(normalized_sp_i);
dest_i.expr.linear_combine(dest_nle.expr,
normalized_sp_o, normalized_sp_i);
- dest_i.strong_normalize();
+ dest_i.strong_normalize();
// The modified row may still not be OK(), so don't assert OK here.
// They are all checked at the end of this function.
- scalar_prod[i] = 0;
- // `dest_sorted' has already been set to false.
+ scalar_prod[i] = 0;
+ // `dest_sorted' has already been set to false.
WEIGHT_ADD_MUL(41, source_space_dim);
- }
+ }
// Check if the client has requested abandoning all expensive
// computations. If so, the exception specified by the client
// is thrown now.
- maybe_abandon();
+ maybe_abandon();
}
// Since the `scalar_prod_nle' is positive (by construction), it
// does not saturate the constraint `source_k'. Therefore, if
@@ -53270,12 +53334,12 @@ Polyhedron::conversion(Source_Linear_System& source,
// corresponding element of `sat' ...
Bit_Row& sat_nle = sat[num_lines_or_equalities];
if (source_k.is_ray_or_point_or_inequality())
- sat_nle.set(k - redundant_source_rows.size());
+ sat_nle.set(k - redundant_source_rows.size());
// ... otherwise, the constraint is an equality which is
// violated by the generator `dest_nle': the generator has to be
// removed from `dest_rows'.
else {
- --dest_num_rows;
+ --dest_num_rows;
swap(dest.sys.rows[num_lines_or_equalities],
dest.sys.rows[dest_num_rows]);
recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
@@ -53283,9 +53347,9 @@ Polyhedron::conversion(Source_Linear_System& source,
dest.sys.rows.pop_back();
PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
- swap(scalar_prod_nle, scalar_prod[dest_num_rows]);
- swap(sat_nle, sat[dest_num_rows]);
- // dest_sorted has already been set to false.
+ swap(scalar_prod_nle, scalar_prod[dest_num_rows]);
+ swap(sat_nle, sat[dest_num_rows]);
+ // dest_sorted has already been set to false.
}
}
// Here we have `index_non_zero' >= `num_lines_or_equalities',
@@ -53308,46 +53372,47 @@ Polyhedron::conversion(Source_Linear_System& source,
// While we find saturating generators, we simply increment
// `lines_or_equal_bound'.
while (inf_bound > lines_or_equal_bound
- && scalar_prod[lines_or_equal_bound] == 0)
- ++lines_or_equal_bound;
+ && scalar_prod[lines_or_equal_bound] == 0)
+ ++lines_or_equal_bound;
dimension_type sup_bound = lines_or_equal_bound;
while (inf_bound > sup_bound) {
- const int sp_sign = sgn(scalar_prod[sup_bound]);
- if (sp_sign == 0) {
- // This generator has to be moved in Q=.
- swap(dest.sys.rows[sup_bound], dest.sys.rows[lines_or_equal_bound]);
- swap(scalar_prod[sup_bound], scalar_prod[lines_or_equal_bound]);
- swap(sat[sup_bound], sat[lines_or_equal_bound]);
- ++lines_or_equal_bound;
- ++sup_bound;
+ const int sp_sign = sgn(scalar_prod[sup_bound]);
+ if (sp_sign == 0) {
+ // This generator has to be moved in Q=.
+ swap(dest.sys.rows[sup_bound], dest.sys.rows[lines_or_equal_bound]);
+ swap(scalar_prod[sup_bound], scalar_prod[lines_or_equal_bound]);
+ swap(sat[sup_bound], sat[lines_or_equal_bound]);
+ ++lines_or_equal_bound;
+ ++sup_bound;
dest_sorted = false;
- }
- else if (sp_sign < 0) {
- // This generator has to be moved in Q-.
- --inf_bound;
+ }
+ else if (sp_sign < 0) {
+ // This generator has to be moved in Q-.
+ --inf_bound;
swap(dest.sys.rows[sup_bound], dest.sys.rows[inf_bound]);
- swap(sat[sup_bound], sat[inf_bound]);
- swap(scalar_prod[sup_bound], scalar_prod[inf_bound]);
+ swap(sat[sup_bound], sat[inf_bound]);
+ swap(scalar_prod[sup_bound], scalar_prod[inf_bound]);
dest_sorted = false;
- }
- else
- // sp_sign > 0: this generator has to be moved in Q+.
- ++sup_bound;
+ }
+ else
+ // sp_sign > 0: this generator has to be moved in Q+.
+ ++sup_bound;
}
if (sup_bound == dest_num_rows) {
- // Here the set Q- is empty.
- // If the constraint is an inequality, then all the generators
- // in Q= and Q+ satisfy the constraint. The constraint is redundant
- // and it can be safely removed from the constraint system.
- // This is why the `source' parameter is not declared `const'.
- if (source_k.is_ray_or_point_or_inequality()) {
+ // Here the set Q- is empty.
+ // If the constraint is an inequality, then all the generators
+ // in Q= and Q+ satisfy the constraint. The constraint is redundant
+ // and it can be safely removed from the constraint system.
+ // This is why the `source' parameter is not declared `const'.
+ if (source_k.is_ray_or_point_or_inequality()) {
redundant_source_rows.push_back(k);
- } else {
- // The constraint is an equality, so that all the generators
- // in Q+ violate it. Since the set Q- is empty, we can simply
- // remove from `dest_rows' all the generators of Q+.
- PPL_ASSERT(dest_num_rows >= lines_or_equal_bound);
+ }
+ else {
+ // The constraint is an equality, so that all the generators
+ // in Q+ violate it. Since the set Q- is empty, we can simply
+ // remove from `dest_rows' all the generators of Q+.
+ PPL_ASSERT(dest_num_rows >= lines_or_equal_bound);
while (dest_num_rows != lines_or_equal_bound) {
recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
swap(dest.sys.rows.back(), recyclable_dest_rows.back());
@@ -53358,13 +53423,13 @@ Polyhedron::conversion(Source_Linear_System& source,
}
}
else {
- // The set Q- is not empty, i.e., at least one generator
- // violates the constraint `source_k'.
- // We have to further distinguish two cases:
- if (sup_bound == num_lines_or_equalities) {
- // The set Q+ is empty, so that all generators that satisfy
- // the constraint also saturate it.
- // We can simply remove from `dest_rows' all the generators in Q-.
+ // The set Q- is not empty, i.e., at least one generator
+ // violates the constraint `source_k'.
+ // We have to further distinguish two cases:
+ if (sup_bound == num_lines_or_equalities) {
+ // The set Q+ is empty, so that all generators that satisfy
+ // the constraint also saturate it.
+ // We can simply remove from `dest_rows' all the generators in Q-.
PPL_ASSERT(dest_num_rows >= sup_bound);
while (dest_num_rows != sup_bound) {
recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
@@ -53373,111 +53438,112 @@ Polyhedron::conversion(Source_Linear_System& source,
--dest_num_rows;
}
PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
- } else {
- // The sets Q+ and Q- are both non-empty.
- // The generators of the new pointed cone are all those satisfying
- // the constraint `source_k' plus a set of new rays enjoying
- // the following properties:
- // -# they lie on the hyper-plane represented by the constraint
- // -# they are obtained as a positive combination of two
- // adjacent rays, the first taken from Q+ and the second
- // taken from Q-.
-
- // The adjacency property is necessary to have an irredundant
- // set of new rays (see proposition 2).
- const dimension_type bound = dest_num_rows;
-
- // In the following loop,
- // `i' runs through the generators in the set Q+ and
- // `j' runs through the generators in the set Q-.
- for (dimension_type i = lines_or_equal_bound; i < sup_bound; ++i) {
- for(dimension_type j = sup_bound; j < bound; ++j) {
- // Checking if generators `dest_rows[i]' and `dest_rows[j]' are
+ }
+ else {
+ // The sets Q+ and Q- are both non-empty.
+ // The generators of the new pointed cone are all those satisfying
+ // the constraint `source_k' plus a set of new rays enjoying
+ // the following properties:
+ // -# they lie on the hyper-plane represented by the constraint
+ // -# they are obtained as a positive combination of two
+ // adjacent rays, the first taken from Q+ and the second
+ // taken from Q-.
+
+ // The adjacency property is necessary to have an irredundant
+ // set of new rays (see proposition 2).
+ const dimension_type bound = dest_num_rows;
+
+ // In the following loop,
+ // `i' runs through the generators in the set Q+ and
+ // `j' runs through the generators in the set Q-.
+ for (dimension_type i = lines_or_equal_bound; i < sup_bound; ++i) {
+ for(dimension_type j = sup_bound; j < bound; ++j) {
+ // Checking if generators `dest_rows[i]' and `dest_rows[j]' are
// adjacent.
- // If there exist another generator that saturates
- // all the constraints saturated by both `dest_rows[i]' and
- // `dest_rows[j]', then they are NOT adjacent.
- PPL_ASSERT(sat[i].last() == C_Integer<unsigned long>::max
+ // If there exist another generator that saturates
+ // all the constraints saturated by both `dest_rows[i]' and
+ // `dest_rows[j]', then they are NOT adjacent.
+ PPL_ASSERT(sat[i].last() == C_Integer<unsigned long>::max
|| sat[i].last() < k);
- PPL_ASSERT(sat[j].last() == C_Integer<unsigned long>::max
+ PPL_ASSERT(sat[j].last() == C_Integer<unsigned long>::max
|| sat[j].last() < k);
- // Being the union of `sat[i]' and `sat[j]',
- // `new_satrow' corresponds to a ray that saturates all the
- // constraints saturated by both `dest_rows[i]' and
+ // Being the union of `sat[i]' and `sat[j]',
+ // `new_satrow' corresponds to a ray that saturates all the
+ // constraints saturated by both `dest_rows[i]' and
// `dest_rows[j]'.
- Bit_Row new_satrow(sat[i], sat[j]);
+ Bit_Row new_satrow(sat[i], sat[j]);
- // Compute the number of common saturators.
- // NOTE: this number has to be less than `k' because
- // we are treating the `k'-th constraint.
- const dimension_type num_common_satur
+ // Compute the number of common saturators.
+ // NOTE: this number has to be less than `k' because
+ // we are treating the `k'-th constraint.
+ const dimension_type num_common_satur
= k - redundant_source_rows.size() - new_satrow.count_ones();
- // Even before actually creating the new ray as a
- // positive combination of `dest_rows[i]' and `dest_rows[j]',
- // we exploit saturation information to check if
- // it can be an extremal ray. To this end, we refer
- // to the definition of a minimal proper face
- // (see comments in Polyhedron.defs.hh):
- // an extremal ray saturates at least `n' - `t' - 1
- // constraints, where `n' is the dimension of the space
- // and `t' is the dimension of the lineality space.
- // Since `n == source_num_columns - 1' and
- // `t == num_lines_or_equalities', we obtain that
- // an extremal ray saturates at least
- // `source_num_columns - num_lines_or_equalities - 2'
- // constraints.
- if (num_common_satur
- >= source_num_columns - num_lines_or_equalities - 2) {
- // The minimal proper face rule is satisfied.
- // Now we actually check for redundancy by computing
- // adjacency information.
- bool redundant = false;
- WEIGHT_BEGIN();
- for (dimension_type
- l = num_lines_or_equalities; l < bound; ++l)
- if (l != i && l != j
- && subset_or_equal(sat[l], new_satrow)) {
- // Found another generator saturating all the
- // constraints saturated by both `dest_rows[i]' and
+ // Even before actually creating the new ray as a
+ // positive combination of `dest_rows[i]' and `dest_rows[j]',
+ // we exploit saturation information to check if
+ // it can be an extremal ray. To this end, we refer
+ // to the definition of a minimal proper face
+ // (see comments in Polyhedron_defs.hh):
+ // an extremal ray saturates at least `n' - `t' - 1
+ // constraints, where `n' is the dimension of the space
+ // and `t' is the dimension of the lineality space.
+ // Since `n == source_num_columns - 1' and
+ // `t == num_lines_or_equalities', we obtain that
+ // an extremal ray saturates at least
+ // `source_num_columns - num_lines_or_equalities - 2'
+ // constraints.
+ if (num_common_satur
+ >= source_num_columns - num_lines_or_equalities - 2) {
+ // The minimal proper face rule is satisfied.
+ // Now we actually check for redundancy by computing
+ // adjacency information.
+ bool redundant = false;
+ WEIGHT_BEGIN();
+ for (dimension_type
+ l = num_lines_or_equalities; l < bound; ++l)
+ if (l != i && l != j
+ && subset_or_equal(sat[l], new_satrow)) {
+ // Found another generator saturating all the
+ // constraints saturated by both `dest_rows[i]' and
// `dest_rows[j]'.
- redundant = true;
- break;
- }
+ redundant = true;
+ break;
+ }
PPL_ASSERT(bound >= num_lines_or_equalities);
WEIGHT_ADD_MUL(15, bound - num_lines_or_equalities);
- if (!redundant) {
- // Adding the new ray to `dest_rows' and the corresponding
- // saturation row to `sat'.
- dest_row_type new_row;
- if (recyclable_dest_rows.empty()) {
- sat.add_recycled_row(new_satrow);
- }
- else {
+ if (!redundant) {
+ // Adding the new ray to `dest_rows' and the corresponding
+ // saturation row to `sat'.
+ dest_row_type new_row;
+ if (recyclable_dest_rows.empty()) {
+ sat.add_recycled_row(new_satrow);
+ }
+ else {
swap(new_row, recyclable_dest_rows.back());
recyclable_dest_rows.pop_back();
new_row.set_space_dimension_no_ok(source_space_dim);
swap(sat[dest_num_rows], new_satrow);
}
- // The following fragment optimizes the computation of
- //
+ // The following fragment optimizes the computation of
+ //
// <CODE>
- // Coefficient scale = scalar_prod[i];
- // scale.gcd_assign(scalar_prod[j]);
- // Coefficient normalized_sp_i = scalar_prod[i] / scale;
- // Coefficient normalized_sp_j = scalar_prod[j] / scale;
- // for (dimension_type c = dest_num_columns; c-- > 0; ) {
- // new_row[c] = normalized_sp_i * dest[j][c];
- // new_row[c] -= normalized_sp_j * dest[i][c];
- // }
+ // Coefficient scale = scalar_prod[i];
+ // scale.gcd_assign(scalar_prod[j]);
+ // Coefficient normalized_sp_i = scalar_prod[i] / scale;
+ // Coefficient normalized_sp_j = scalar_prod[j] / scale;
+ // for (dimension_type c = dest_num_columns; c-- > 0; ) {
+ // new_row[c] = normalized_sp_i * dest[j][c];
+ // new_row[c] -= normalized_sp_j * dest[i][c];
+ // }
// </CODE>
- normalize2(scalar_prod[i],
- scalar_prod[j],
- normalized_sp_i,
- normalized_sp_o);
- WEIGHT_BEGIN();
+ normalize2(scalar_prod[i],
+ scalar_prod[j],
+ normalized_sp_i,
+ normalized_sp_o);
+ WEIGHT_BEGIN();
neg_assign(normalized_sp_o);
new_row = dest.sys.rows[j];
@@ -53488,74 +53554,74 @@ Polyhedron::conversion(Source_Linear_System& source,
normalized_sp_i, normalized_sp_o);
WEIGHT_ADD_MUL(86, source_space_dim);
- new_row.strong_normalize();
+ new_row.strong_normalize();
// Don't assert new_row.OK() here, because it may fail if
// the parameter `dest' contained a row that wasn't ok.
- // Since we added a new generator to `dest_rows',
- // we also add a new element to `scalar_prod';
- // by construction, the new ray lies on the hyper-plane
- // represented by the constraint `source_k'.
- // Thus, the added scalar product is 0.
- PPL_ASSERT(scalar_prod.size() >= dest_num_rows);
- if (scalar_prod.size() <= dest_num_rows)
- scalar_prod.push_back(Coefficient_zero());
- else
- scalar_prod[dest_num_rows] = Coefficient_zero();
+ // Since we added a new generator to `dest_rows',
+ // we also add a new element to `scalar_prod';
+ // by construction, the new ray lies on the hyper-plane
+ // represented by the constraint `source_k'.
+ // Thus, the added scalar product is 0.
+ PPL_ASSERT(scalar_prod.size() >= dest_num_rows);
+ if (scalar_prod.size() <= dest_num_rows)
+ scalar_prod.push_back(Coefficient_zero());
+ else
+ scalar_prod[dest_num_rows] = Coefficient_zero();
dest.sys.rows.resize(dest.sys.rows.size() + 1);
swap(dest.sys.rows.back(), new_row);
- // Increment the number of generators.
- ++dest_num_rows;
- } // if (!redundant)
- }
- }
+ // Increment the number of generators.
+ ++dest_num_rows;
+ } // if (!redundant)
+ }
+ }
// Check if the client has requested abandoning all expensive
// computations. If so, the exception specified by the client
// is thrown now.
- maybe_abandon();
- }
- // Now we substitute the rays in Q- (i.e., the rays violating
- // the constraint) with the newly added rays.
- dimension_type j;
- if (source_k.is_ray_or_point_or_inequality()) {
- // The constraint is an inequality:
- // the violating generators are those in Q-.
- j = sup_bound;
- // For all the generators in Q+, set to 1 the corresponding
- // entry for the constraint `source_k' in the saturation matrix.
+ maybe_abandon();
+ }
+ // Now we substitute the rays in Q- (i.e., the rays violating
+ // the constraint) with the newly added rays.
+ dimension_type j;
+ if (source_k.is_ray_or_point_or_inequality()) {
+ // The constraint is an inequality:
+ // the violating generators are those in Q-.
+ j = sup_bound;
+ // For all the generators in Q+, set to 1 the corresponding
+ // entry for the constraint `source_k' in the saturation matrix.
// After the removal of redundant rows in `source', the k-th
// row will have index `new_k'.
const dimension_type new_k = k - redundant_source_rows.size();
for (dimension_type l = lines_or_equal_bound; l < sup_bound; ++l)
sat[l].set(new_k);
- }
- else
- // The constraint is an equality:
- // the violating generators are those in the union of Q+ and Q-.
- j = lines_or_equal_bound;
-
- // Swapping the newly added rays
- // (index `i' running through `dest_num_rows - 1' down-to `bound')
- // with the generators violating the constraint
- // (index `j' running through `j' up-to `bound - 1').
- dimension_type i = dest_num_rows;
- while (j < bound && i > bound) {
- --i;
+ }
+ else
+ // The constraint is an equality:
+ // the violating generators are those in the union of Q+ and Q-.
+ j = lines_or_equal_bound;
+
+ // Swapping the newly added rays
+ // (index `i' running through `dest_num_rows - 1' down-to `bound')
+ // with the generators violating the constraint
+ // (index `j' running through `j' up-to `bound - 1').
+ dimension_type i = dest_num_rows;
+ while (j < bound && i > bound) {
+ --i;
swap(dest.sys.rows[i], dest.sys.rows[j]);
- swap(scalar_prod[i], scalar_prod[j]);
- swap(sat[i], sat[j]);
- ++j;
- dest_sorted = false;
- }
- // Setting the number of generators in `dest':
- // - if the number of generators violating the constraint
- // is less than or equal to the number of the newly added
- // generators, we assign `i' to `dest_num_rows' because
- // all generators above this index are significant;
- // - otherwise, we assign `j' to `dest_num_rows' because
- // all generators below index `j-1' violates the constraint.
- dimension_type new_num_rows = (j == bound) ? i : j;
+ swap(scalar_prod[i], scalar_prod[j]);
+ swap(sat[i], sat[j]);
+ ++j;
+ dest_sorted = false;
+ }
+ // Setting the number of generators in `dest':
+ // - if the number of generators violating the constraint
+ // is less than or equal to the number of the newly added
+ // generators, we assign `i' to `dest_num_rows' because
+ // all generators above this index are significant;
+ // - otherwise, we assign `j' to `dest_num_rows' because
+ // all generators below index `j-1' violates the constraint.
+ const dimension_type new_num_rows = (j == bound) ? i : j;
PPL_ASSERT(dest_num_rows >= new_num_rows);
while (dest_num_rows != new_num_rows) {
recyclable_dest_rows.resize(recyclable_dest_rows.size() + 1);
@@ -53564,7 +53630,7 @@ Polyhedron::conversion(Source_Linear_System& source,
--dest_num_rows;
}
PPL_ASSERT(dest_num_rows == dest.sys.rows.size());
- }
+ }
}
}
}
@@ -53600,8 +53666,8 @@ Polyhedron::conversion(Source_Linear_System& source,
// pending generators.
for (dimension_type i = dest_first_pending_row; i < dest_num_rows; ++i)
if (compare(dest.sys.rows[i - 1], dest.sys.rows[i]) > 0) {
- dest_sorted = false;
- break;
+ dest_sorted = false;
+ break;
}
#ifndef NDEBUG
@@ -53620,12 +53686,12 @@ Polyhedron::conversion(Source_Linear_System& source,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron_minimize.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_minimize_templates.hh line 1. */
/* Polyhedron class implementation: minimize() and add_and_minimize().
*/
-/* Automatically generated from PPL source file ../src/Polyhedron_minimize.templates.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_minimize_templates.hh line 29. */
#include <stdexcept>
namespace Parma_Polyhedra_Library {
@@ -53744,7 +53810,7 @@ Polyhedron::minimize(const bool con_to_gen,
// and the 5th parameter (representing the number of lines in `dest'),
// by construction, is equal to `dest_num_rows'.
const dimension_type num_lines_or_equalities
- = conversion(source, 0, dest, tmp_sat, dest_num_rows);
+ = conversion(source, 0U, dest, tmp_sat, dest_num_rows);
// conversion() may have modified the number of rows in `dest'.
dest_num_rows = dest.num_rows();
@@ -53766,7 +53832,8 @@ Polyhedron::minimize(const bool con_to_gen,
++first_point)
if (dest[first_point].expr.inhomogeneous_term() > 0)
break;
- } else {
+ }
+ else {
for (first_point = num_lines_or_equalities;
first_point < dest_num_rows;
++first_point)
@@ -53971,8 +54038,8 @@ Polyhedron::add_and_minimize(const bool con_to_gen,
// Parameter `start' is set to the index of the first pending constraint.
const dimension_type num_lines_or_equalities
= conversion(source, source.first_pending_row(),
- dest, sat,
- dest.num_lines_or_equalities());
+ dest, sat,
+ dest.num_lines_or_equalities());
// conversion() may have modified the number of rows in `dest'.
const dimension_type dest_num_rows = dest.num_rows();
@@ -53990,7 +54057,8 @@ Polyhedron::add_and_minimize(const bool con_to_gen,
++first_point)
if (dest[first_point].expr.inhomogeneous_term() > 0)
break;
- } else {
+ }
+ else {
for (first_point = num_lines_or_equalities;
first_point < dest_num_rows;
++first_point)
@@ -54032,12 +54100,12 @@ Polyhedron::add_and_minimize(const bool con_to_gen,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron_simplify.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_simplify_templates.hh line 1. */
/* Polyhedron class implementation: simplify().
*/
-/* Automatically generated from PPL source file ../src/Polyhedron_simplify.templates.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_simplify_templates.hh line 29. */
#include <cstddef>
#include <limits>
@@ -54105,7 +54173,7 @@ Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
// Looking for the first inequality in `sys'.
dimension_type num_lines_or_equalities = 0;
while (num_lines_or_equalities < num_rows
- && sys[num_lines_or_equalities].is_line_or_equality())
+ && sys[num_lines_or_equalities].is_line_or_equality())
++num_lines_or_equalities;
// `num_saturators[i]' will contain the number of generators
@@ -54120,7 +54188,7 @@ Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
simplify_num_saturators_p = new dimension_type[new_size];
simplify_num_saturators_size = new_size;
}
- dimension_type* num_saturators = simplify_num_saturators_p;
+ dimension_type* const num_saturators = simplify_num_saturators_p;
bool sys_sorted = sys.is_sorted();
@@ -54139,8 +54207,8 @@ Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
// so that system `sys_rows' keeps its partial sortedness.
if (i != num_lines_or_equalities) {
sys.sys.rows[i].m_swap(sys.sys.rows[num_lines_or_equalities]);
- swap(sat[i], sat[num_lines_or_equalities]);
- swap(num_saturators[i], num_saturators[num_lines_or_equalities]);
+ swap(sat[i], sat[num_lines_or_equalities]);
+ swap(num_saturators[i], num_saturators[num_lines_or_equalities]);
}
++num_lines_or_equalities;
// `sys' is no longer sorted.
@@ -54180,10 +54248,10 @@ Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
// redundant equalities or because we have moved all the
// inequalities.
for (dimension_type redundant = rank,
- erasing = num_rows;
- redundant < num_lines_or_equalities
- && erasing > num_lines_or_equalities;
- ) {
+ erasing = num_rows;
+ redundant < num_lines_or_equalities
+ && erasing > num_lines_or_equalities;
+ ) {
--erasing;
sys.remove_row(redundant);
swap(sat[redundant], sat[erasing]);
@@ -54268,44 +54336,44 @@ Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
// sat[k])'.
for (dimension_type j = num_lines_or_equalities; j < num_rows; ) {
if (i == j)
- // We want to compare different rows of `sys'.
- ++j;
+ // We want to compare different rows of `sys'.
+ ++j;
else {
- // Let us recall that each generator lies on a facet of the
- // polyhedron (see the Introduction).
- // Given two constraints `c_1' and `c_2', if there are `m'
- // generators lying on the hyper-plane corresponding to `c_1',
- // the same `m' generators lie on the hyper-plane
- // corresponding to `c_2', too, and there is another one lying
- // on the latter but not on the former, then `c_2' is more
- // restrictive than `c_1', i.e., `c_1' is redundant.
- bool strict_subset;
- if (subset_or_equal(sat[j], sat[i], strict_subset))
- if (strict_subset) {
- // All the saturators of the inequality `sys[i]' are
- // saturators of the inequality `sys[j]' too,
- // and there exists at least one saturator of `sys[j]'
- // which is not a saturator of `sys[i]'.
- // It follows that inequality `sys[i]' is redundant.
- redundant = true;
- break;
- }
- else {
- // We have `sat[j] == sat[i]'. Hence inequalities
- // `sys[i]' and `sys[j]' are saturated by the same set of
- // generators. Then we can remove either one of the two
- // inequalities: we remove `sys[j]'.
- --num_rows;
+ // Let us recall that each generator lies on a facet of the
+ // polyhedron (see the Introduction).
+ // Given two constraints `c_1' and `c_2', if there are `m'
+ // generators lying on the hyper-plane corresponding to `c_1',
+ // the same `m' generators lie on the hyper-plane
+ // corresponding to `c_2', too, and there is another one lying
+ // on the latter but not on the former, then `c_2' is more
+ // restrictive than `c_1', i.e., `c_1' is redundant.
+ bool strict_subset;
+ if (subset_or_equal(sat[j], sat[i], strict_subset))
+ if (strict_subset) {
+ // All the saturators of the inequality `sys[i]' are
+ // saturators of the inequality `sys[j]' too,
+ // and there exists at least one saturator of `sys[j]'
+ // which is not a saturator of `sys[i]'.
+ // It follows that inequality `sys[i]' is redundant.
+ redundant = true;
+ break;
+ }
+ else {
+ // We have `sat[j] == sat[i]'. Hence inequalities
+ // `sys[i]' and `sys[j]' are saturated by the same set of
+ // generators. Then we can remove either one of the two
+ // inequalities: we remove `sys[j]'.
+ --num_rows;
sys.remove_row(j);
PPL_ASSERT(sys.num_rows() == num_rows);
- swap(sat[j], sat[num_rows]);
- swap(num_saturators[j], num_saturators[num_rows]);
- }
- else
- // If we reach this point then we know that `sat[i]' does
- // not contain (and is different from) `sat[j]', so that
- // `sys[i]' is not made redundant by inequality `sys[j]'.
- ++j;
+ swap(sat[j], sat[num_rows]);
+ swap(num_saturators[j], num_saturators[num_rows]);
+ }
+ else
+ // If we reach this point then we know that `sat[i]' does
+ // not contain (and is different from) `sat[j]', so that
+ // `sys[i]' is not made redundant by inequality `sys[j]'.
+ ++j;
}
}
if (redundant) {
@@ -54349,21 +54417,21 @@ Polyhedron::simplify(Linear_System1& sys, Bit_Matrix& sat) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Polyhedron.defs.hh line 2842. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Polyhedron_defs.hh line 2842. */
-/* Automatically generated from PPL source file ../src/Grid.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_defs.hh line 1. */
/* Grid class declaration.
*/
-/* Automatically generated from PPL source file ../src/Grid_Generator_System.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_System_defs.hh line 1. */
/* Grid_Generator_System class declaration.
*/
-/* Automatically generated from PPL source file ../src/Grid_Generator_System.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_System_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Grid_Generator_System.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_System_defs.hh line 33. */
#include <iosfwd>
namespace Parma_Polyhedra_Library {
@@ -54387,7 +54455,7 @@ void swap(Grid_Generator_System& x, Grid_Generator_System& y);
//! Returns <CODE>true</CODE> if and only if \p x and \p y are identical.
/*! \relates Grid_Generator_System */
bool operator==(const Grid_Generator_System& x,
- const Grid_Generator_System& y);
+ const Grid_Generator_System& y);
} // namespace Parma_Polyhedra_Library
@@ -54610,10 +54678,10 @@ public:
*/
class const_iterator
: public std::iterator<std::forward_iterator_tag,
- Grid_Generator,
- ptrdiff_t,
- const Grid_Generator*,
- const Grid_Generator&> {
+ Grid_Generator,
+ ptrdiff_t,
+ const Grid_Generator*,
+ const Grid_Generator&> {
public:
//! Default constructor.
const_iterator();
@@ -54843,14 +54911,14 @@ private:
friend class Grid;
};
-// Grid_Generator_System.inlines.hh is not included here on purpose.
+// Grid_Generator_System_inlines.hh is not included here on purpose.
-/* Automatically generated from PPL source file ../src/Grid_Generator_System.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_System_inlines.hh line 1. */
/* Grid_Generator_System class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Grid_Generator_System.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Generator_System_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -55090,7 +55158,7 @@ Grid_Generator_System::first_pending_row() const {
/*! \relates Grid_Generator_System */
inline bool
operator==(const Grid_Generator_System& x,
- const Grid_Generator_System& y) {
+ const Grid_Generator_System& y) {
return x.is_equal_to(y);
}
@@ -55102,7 +55170,7 @@ swap(Grid_Generator_System& x, Grid_Generator_System& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid_Certificate.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Certificate_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -55111,7 +55179,7 @@ class Grid_Certificate;
}
-/* Automatically generated from PPL source file ../src/Grid.defs.hh line 47. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_defs.hh line 47. */
#include <vector>
#include <iosfwd>
@@ -55461,7 +55529,7 @@ public:
dimension.
*/
explicit Grid(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
+ Degenerate_Element kind = UNIVERSE);
//! Builds a grid, copying a system of congruences.
/*!
@@ -55830,7 +55898,7 @@ public:
maximum are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -55864,8 +55932,8 @@ public:
and \p point are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& point) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& point) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -55895,7 +55963,7 @@ public:
and \p minimum are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -55929,8 +55997,8 @@ public:
and \p point are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& point) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& point) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -56283,14 +56351,14 @@ public:
is different from zero.
-# If the transformation is invertible, then we can write
\f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
- = a_\mathrm{var} x_\mathrm{var}
- + \sum_{i \neq var} a_i x_i + b,
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
+ = a_\mathrm{var} x_\mathrm{var}
+ + \sum_{i \neq var} a_i x_i + b,
\f]
so that the inverse transformation is
\f[
- a_\mathrm{var} x_\mathrm{var}
+ a_\mathrm{var} x_\mathrm{var}
= \mathrm{denominator} * {x'}_\mathrm{var}
- \sum_{i \neq j} a_i x_i - b.
\f]
@@ -56302,9 +56370,9 @@ public:
\endif
*/
void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the \ref Grid_Affine_Transformation
@@ -56347,14 +56415,14 @@ public:
is different from zero.
-# If the transformation is invertible, then we can write
\f[
- \mathrm{denominator} * {x'}_\mathrm{var}
- = \sum_{i = 0}^{n - 1} a_i x_i + b
+ \mathrm{denominator} * {x'}_\mathrm{var}
+ = \sum_{i = 0}^{n - 1} a_i x_i + b
= a_\mathrm{var} x_\mathrm{var}
+ \sum_{i \neq \mathrm{var}} a_i x_i + b,
\f],
the inverse transformation is
\f[
- a_\mathrm{var} x_\mathrm{var}
+ a_\mathrm{var} x_\mathrm{var}
= \mathrm{denominator} * {x'}_\mathrm{var}
- \sum_{i \neq j} a_i x_i - b.
\f].
@@ -56366,9 +56434,9 @@ public:
\endif
*/
void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to
@@ -56402,12 +56470,12 @@ public:
*/
void
generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one(),
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one(),
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -56441,12 +56509,12 @@ public:
*/
void
generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one(),
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one(),
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
/*! \brief
Assigns to \p *this the image of \p *this with respect to
@@ -56474,10 +56542,10 @@ public:
*/
void
generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs,
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs,
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -56505,10 +56573,10 @@ public:
*/
void
generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs,
- Coefficient_traits::const_reference modulus
- = Coefficient_zero());
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs,
+ Coefficient_traits::const_reference modulus
+ = Coefficient_zero());
/*!
\brief
@@ -56537,10 +56605,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*!
\brief
@@ -56569,10 +56637,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the result of computing the \ref Grid_Time_Elapse
@@ -56742,8 +56810,8 @@ public:
Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
*/
void limited_congruence_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp = NULL);
+ const Congruence_System& cgs,
+ unsigned* tp = NULL);
/*! \brief
Improves the result of the generator variant of the
@@ -56766,8 +56834,8 @@ public:
Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
*/
void limited_generator_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp = NULL);
+ const Congruence_System& cgs,
+ unsigned* tp = NULL);
/*! \brief
Improves the result of the \ref Grid_Widening "Grid widening"
@@ -56789,8 +56857,8 @@ public:
Thrown if \p *this, \p y and \p cgs are dimension-incompatible.
*/
void limited_extrapolation_assign(const Grid& y,
- const Congruence_System& cgs,
- unsigned* tp = NULL);
+ const Congruence_System& cgs,
+ unsigned* tp = NULL);
//@} // Space Dimension Preserving Member Functions that May Modify [...]
@@ -57041,13 +57109,13 @@ private:
Grid_Generator_System gen_sys;
#define PPL_IN_Grid_CLASS
-/* Automatically generated from PPL source file ../src/Grid_Status.idefs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Status_idefs.hh line 1. */
/* Grid::Status class declaration.
*/
#ifndef PPL_IN_Grid_CLASS
-#error "Do not include Grid_Status.idefs.hh directly; use Grid.defs.hh instead"
+#error "Do not include Grid_Status_idefs.hh directly; use Grid_defs.hh instead"
#endif
//! A conjunctive assertion about a grid.
@@ -57187,7 +57255,7 @@ private:
void reset(flags_t mask);
};
-/* Automatically generated from PPL source file ../src/Grid.defs.hh line 1977. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_defs.hh line 1977. */
#undef PPL_IN_Grid_CLASS
//! The status flags to keep track of the grid's internal state.
@@ -57418,9 +57486,9 @@ private:
\p included and \p point are left untouched.
*/
bool max_min(const Linear_Expression& expr,
- const char* method_call,
- Coefficient& ext_n, Coefficient& ext_d, bool& included,
- Generator* point = NULL) const;
+ const char* method_call,
+ Coefficient& ext_n, Coefficient& ext_d, bool& included,
+ Generator* point = NULL) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -57455,8 +57523,8 @@ private:
empty, then the behavior is undefined.
*/
bool frequency_no_check(const Linear_Expression& expr,
- Coefficient& freq_n, Coefficient& freq_d,
- Coefficient& val_n, Coefficient& val_d) const;
+ Coefficient& freq_n, Coefficient& freq_d,
+ Coefficient& val_n, Coefficient& val_d) const;
//! Checks if and how \p expr is bounded in \p *this.
/*!
@@ -57513,7 +57581,7 @@ private:
//! Copies a widened selection of congruences from \p y to \p selected_cgs.
void select_wider_congruences(const Grid& y,
- Congruence_System& selected_cgs) const;
+ Congruence_System& selected_cgs) const;
//! Copies widened generators from \p y to \p widened_ggs.
void select_wider_generators(const Grid& y,
@@ -57536,8 +57604,8 @@ private:
<CODE>add_space_dimensions_and_embed()</CODE>.
*/
void add_space_dimensions(Congruence_System& cgs,
- Grid_Generator_System& gs,
- dimension_type dims);
+ Grid_Generator_System& gs,
+ dimension_type dims);
//! Adds new space dimensions to the given systems.
/*!
@@ -57554,8 +57622,8 @@ private:
<CODE>add_space_dimensions_and_project()</CODE>.
*/
void add_space_dimensions(Grid_Generator_System& gs,
- Congruence_System& cgs,
- dimension_type dims);
+ Congruence_System& cgs,
+ dimension_type dims);
//! \name Minimization-related Static Member Functions
//@{
@@ -57580,8 +57648,8 @@ private:
*/
static void
normalize_divisors(Grid_Generator_System& sys,
- Coefficient& divisor,
- const Grid_Generator* first_point = NULL);
+ Coefficient& divisor,
+ const Grid_Generator* first_point = NULL);
//! Normalizes the divisors in \p sys.
/*!
@@ -57613,23 +57681,23 @@ private:
Thrown if all rows in \p gen_sys are lines and/or parameters.
*/
static void normalize_divisors(Grid_Generator_System& sys,
- Grid_Generator_System& gen_sys);
+ Grid_Generator_System& gen_sys);
/*! \brief
Converts generator system \p dest to be equivalent to congruence
system \p source.
*/
static void conversion(Congruence_System& source,
- Grid_Generator_System& dest,
- Dimension_Kinds& dim_kinds);
+ Grid_Generator_System& dest,
+ Dimension_Kinds& dim_kinds);
/*! \brief
Converts congruence system \p dest to be equivalent to generator
system \p source.
*/
static void conversion(Grid_Generator_System& source,
- Congruence_System& dest,
- Dimension_Kinds& dim_kinds);
+ Congruence_System& dest,
+ Dimension_Kinds& dim_kinds);
//! Converts \p cgs to upper triangular (i.e. minimized) form.
/*!
@@ -57637,14 +57705,14 @@ private:
otherwise returns <CODE>false</CODE>.
*/
static bool simplify(Congruence_System& cgs,
- Dimension_Kinds& dim_kinds);
+ Dimension_Kinds& dim_kinds);
//! Converts \p gs to lower triangular (i.e. minimized) form.
/*!
Expects \p gs to contain at least one point.
*/
static void simplify(Grid_Generator_System& ggs,
- Dimension_Kinds& dim_kinds);
+ Dimension_Kinds& dim_kinds);
//! Reduces the line \p row using the line \p pivot.
/*!
@@ -57653,8 +57721,8 @@ private:
*/
// A member of Grid for access to Matrix<Dense_Row>::rows.
static void reduce_line_with_line(Grid_Generator& row,
- Grid_Generator& pivot,
- dimension_type column);
+ Grid_Generator& pivot,
+ dimension_type column);
//! Reduces the equality \p row using the equality \p pivot.
/*!
@@ -57664,8 +57732,8 @@ private:
*/
// A member of Grid for access to Matrix<Dense_Row>::rows.
static void reduce_equality_with_equality(Congruence& row,
- const Congruence& pivot,
- dimension_type column);
+ const Congruence& pivot,
+ dimension_type column);
//! Reduces \p row using \p pivot.
/*!
@@ -57682,10 +57750,10 @@ private:
// Part of Grid for access to Matrix<Dense_Row>::rows.
template <typename R>
static void reduce_pc_with_pc(R& row,
- R& pivot,
- dimension_type column,
- dimension_type start,
- dimension_type end);
+ R& pivot,
+ dimension_type column,
+ dimension_type start,
+ dimension_type end);
//! Reduce \p row using \p pivot.
/*!
@@ -57698,9 +57766,9 @@ private:
// NOTE: This may invalidate `row' and the rows in `sys'. Client code must
// fix/check this.
static void reduce_parameter_with_line(Grid_Generator& row,
- const Grid_Generator& pivot,
- dimension_type column,
- Swapping_Vector<Grid_Generator>& sys,
+ const Grid_Generator& pivot,
+ dimension_type column,
+ Swapping_Vector<Grid_Generator>& sys,
dimension_type num_columns);
//! Reduce \p row using \p pivot.
@@ -57713,9 +57781,9 @@ private:
// This takes a parameter with type Swapping_Vector<Congruence> (instead of
// Congruence_System) to simplify the implementation of `conversion()'.
static void reduce_congruence_with_equality(Congruence& row,
- const Congruence& pivot,
- dimension_type column,
- Swapping_Vector<Congruence>& sys);
+ const Congruence& pivot,
+ dimension_type column,
+ Swapping_Vector<Congruence>& sys);
//! Reduce column \p dim in rows preceding \p pivot_index in \p sys.
/*!
@@ -57757,19 +57825,19 @@ private:
// fix/check this.
static void reduce_reduced(Swapping_Vector<typename M::row_type>& sys,
dimension_type dim,
- dimension_type pivot_index,
- dimension_type start, dimension_type end,
- const Dimension_Kinds& sys_dim_kinds,
- bool generators = true);
+ dimension_type pivot_index,
+ dimension_type start, dimension_type end,
+ const Dimension_Kinds& sys_dim_kinds,
+ bool generators = true);
//! Multiply the elements of \p dest by \p multiplier.
// A member of Grid for access to Matrix<Dense_Row>::rows and cgs::operator[].
// The type of `dest' is Swapping_Vector<Congruence> instead of
// Congruence_System to simplify the implementation of conversion().
static void multiply_grid(const Coefficient& multiplier,
- Congruence& cg,
+ Congruence& cg,
Swapping_Vector<Congruence>& dest,
- dimension_type num_rows);
+ dimension_type num_rows);
//! Multiply the elements of \p dest by \p multiplier.
// A member of Grid for access to Grid_Generator::operator[].
@@ -57778,23 +57846,23 @@ private:
// NOTE: This does not check whether the rows are OK(). Client code
// should do that.
static void multiply_grid(const Coefficient& multiplier,
- Grid_Generator& gen,
- Swapping_Vector<Grid_Generator>& dest,
- dimension_type num_rows);
+ Grid_Generator& gen,
+ Swapping_Vector<Grid_Generator>& dest,
+ dimension_type num_rows);
/*! \brief
If \p sys is lower triangular return <CODE>true</CODE>, else
return <CODE>false</CODE>.
*/
static bool lower_triangular(const Congruence_System& sys,
- const Dimension_Kinds& dim_kinds);
+ const Dimension_Kinds& dim_kinds);
/*! \brief
If \p sys is upper triangular return <CODE>true</CODE>, else
return <CODE>false</CODE>.
*/
static bool upper_triangular(const Grid_Generator_System& sys,
- const Dimension_Kinds& dim_kinds);
+ const Dimension_Kinds& dim_kinds);
#ifndef NDEBUG
//! Checks that trailing rows contain only zero terms.
@@ -57808,9 +57876,9 @@ private:
*/
template <typename M, typename R>
static bool rows_are_zero(M& system,
- dimension_type first,
- dimension_type last,
- dimension_type row_size);
+ dimension_type first,
+ dimension_type last,
+ dimension_type row_size);
#endif
//@} // Minimization-Related Static Member Functions
@@ -57821,40 +57889,40 @@ private:
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
protected:
void throw_dimension_incompatible(const char* method,
- const char* other_name,
- dimension_type other_dim) const;
+ const char* other_name,
+ dimension_type other_dim) const;
void throw_dimension_incompatible(const char* method,
- const char* gr_name,
- const Grid& gr) const;
+ const char* gr_name,
+ const Grid& gr) const;
void throw_dimension_incompatible(const char* method,
- const char* le_name,
- const Linear_Expression& le) const;
+ const char* le_name,
+ const Linear_Expression& le) const;
void throw_dimension_incompatible(const char* method,
- const char* cg_name,
- const Congruence& cg) const;
+ const char* cg_name,
+ const Congruence& cg) const;
void throw_dimension_incompatible(const char* method,
- const char* c_name,
- const Constraint& c) const;
+ const char* c_name,
+ const Constraint& c) const;
void throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Grid_Generator& g) const;
+ const char* g_name,
+ const Grid_Generator& g) const;
void throw_dimension_incompatible(const char* method,
- const char* g_name,
- const Generator& g) const;
+ const char* g_name,
+ const Generator& g) const;
void throw_dimension_incompatible(const char* method,
- const char* cgs_name,
- const Congruence_System& cgs) const;
+ const char* cgs_name,
+ const Congruence_System& cgs) const;
void throw_dimension_incompatible(const char* method,
- const char* cs_name,
- const Constraint_System& cs) const;
+ const char* cs_name,
+ const Constraint_System& cs) const;
void throw_dimension_incompatible(const char* method,
- const char* gs_name,
- const Grid_Generator_System& gs) const;
+ const char* gs_name,
+ const Grid_Generator_System& gs) const;
void throw_dimension_incompatible(const char* method,
- const char* var_name,
- Variable var) const;
+ const char* var_name,
+ Variable var) const;
void throw_dimension_incompatible(const char* method,
- dimension_type required_space_dim) const;
+ dimension_type required_space_dim) const;
static void throw_invalid_argument(const char* method,
const char* reason);
@@ -57872,7 +57940,7 @@ protected:
};
-/* Automatically generated from PPL source file ../src/Grid_Status.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Status_inlines.hh line 1. */
/* Grid::Status class implementation: inline functions.
*/
@@ -58067,12 +58135,12 @@ Grid::Status::set_sat_g_up_to_date() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_inlines.hh line 1. */
/* Grid class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Grid.inlines.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_inlines.hh line 30. */
#include <algorithm>
namespace Parma_Polyhedra_Library {
@@ -58158,15 +58226,15 @@ Grid::max_space_dimension() {
// One dimension is reserved to have a value of type dimension_type
// that does not represent a legal dimension.
return std::min(std::numeric_limits<dimension_type>::max() - 1,
- std::min(Congruence_System::max_space_dimension(),
- Grid_Generator_System::max_space_dimension()
- )
- );
+ std::min(Congruence_System::max_space_dimension(),
+ Grid_Generator_System::max_space_dimension()
+ )
+ );
}
inline
Grid::Grid(dimension_type num_dimensions,
- const Degenerate_Element kind)
+ const Degenerate_Element kind)
: con_sys(),
gen_sys(check_space_dimension_overflow(num_dimensions,
max_space_dimension(),
@@ -58371,27 +58439,27 @@ Grid::bounds_from_below(const Linear_Expression& expr) const {
inline bool
Grid::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const {
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const {
return max_min(expr, "maximize(e, ...)", sup_n, sup_d, maximum);
}
inline bool
Grid::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& point) const {
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& point) const {
return max_min(expr, "maximize(e, ...)", sup_n, sup_d, maximum, &point);
}
inline bool
Grid::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const {
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const {
return max_min(expr, "minimize(e, ...)", inf_n, inf_d, minimum);
}
inline bool
Grid::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& point) const {
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& point) const {
return max_min(expr, "minimize(e, ...)", inf_n, inf_d, minimum, &point);
}
@@ -58426,12 +58494,12 @@ swap(Grid& x, Grid& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_templates.hh line 1. */
/* Grid class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Grid.templates.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_templates.hh line 30. */
#include <algorithm>
#include <deque>
@@ -58473,37 +58541,37 @@ Grid::Grid(const Box<Interval>& box, Complexity_Class)
bool closed = false;
// TODO: Consider producing the system(s) in minimized form.
if (box.has_lower_bound(v_k, l_n, l_d, closed)) {
- if (box.has_upper_bound(v_k, u_n, u_d, closed))
- if (l_n * u_d == u_n * l_d) {
- // A point interval sets dimension k of every point to a
- // single value.
- con_sys.insert(l_d * v_k == l_n);
+ if (box.has_upper_bound(v_k, u_n, u_d, closed))
+ if (l_n * u_d == u_n * l_d) {
+ // A point interval sets dimension k of every point to a
+ // single value.
+ con_sys.insert(l_d * v_k == l_n);
// This is declared here because it may be invalidated
// by the call to gen_sys.insert() at the end of the loop.
Grid_Generator& point = gen_sys.sys.rows[0];
- // Scale the point to use as divisor the lcm of the
- // divisors of the existing point and the lower bound.
- const Coefficient& point_divisor = point.divisor();
- gcd_assign(u_n, l_d, point_divisor);
- // `u_n' now holds the gcd.
- exact_div_assign(u_n, point_divisor, u_n);
- if (l_d < 0)
- neg_assign(u_n);
- // l_d * u_n == abs(l_d * (point_divisor / gcd(l_d, point_divisor)))
- point.scale_to_divisor(l_d * u_n);
- // Set dimension k of the point to the lower bound.
- if (l_d < 0)
- neg_assign(u_n);
- // point[k + 1] = l_n * point_divisor / gcd(l_d, point_divisor)
- point.expr.set(Variable(k), l_n * u_n);
+ // Scale the point to use as divisor the lcm of the
+ // divisors of the existing point and the lower bound.
+ const Coefficient& point_divisor = point.divisor();
+ gcd_assign(u_n, l_d, point_divisor);
+ // `u_n' now holds the gcd.
+ exact_div_assign(u_n, point_divisor, u_n);
+ if (l_d < 0)
+ neg_assign(u_n);
+ // l_d * u_n == abs(l_d * (point_divisor / gcd(l_d, point_divisor)))
+ point.scale_to_divisor(l_d * u_n);
+ // Set dimension k of the point to the lower bound.
+ if (l_d < 0)
+ neg_assign(u_n);
+ // point[k + 1] = l_n * point_divisor / gcd(l_d, point_divisor)
+ point.expr.set(Variable(k), l_n * u_n);
PPL_ASSERT(point.OK());
PPL_ASSERT(gen_sys.sys.OK());
- continue;
- }
+ continue;
+ }
}
// A universe interval allows any value in dimension k.
gen_sys.insert(grid_line(v_k));
@@ -58524,7 +58592,7 @@ Grid::map_space_dimensions(const Partial_Function& pfunc) {
if (pfunc.has_empty_codomain()) {
// All dimensions vanish: the grid becomes zero_dimensional.
if (marked_empty()
- || (!generators_are_up_to_date() && !update_generators())) {
+ || (!generators_are_up_to_date() && !update_generators())) {
// Removing all dimensions from the empty grid.
space_dim = 0;
set_empty();
@@ -58553,23 +58621,23 @@ Grid::map_space_dimensions(const Partial_Function& pfunc) {
for (dimension_type i = space_dim; i-- > 0; ) {
if (!visited[i]) {
- dimension_type j = i;
- do {
- visited[j] = true;
- // The following initialization is only to make the compiler happy.
- dimension_type k = 0;
- if (!pfunc.maps(j, k))
- throw_invalid_argument("map_space_dimensions(pfunc)",
- " pfunc is inconsistent");
- if (k == j)
- break;
-
- cycle.push_back(Variable(j));
- // Go along the cycle.
- j = k;
- } while (!visited[j]);
-
- // End of cycle.
+ dimension_type j = i;
+ do {
+ visited[j] = true;
+ // The following initialization is only to make the compiler happy.
+ dimension_type k = 0;
+ if (!pfunc.maps(j, k))
+ throw_invalid_argument("map_space_dimensions(pfunc)",
+ " pfunc is inconsistent");
+ if (k == j)
+ break;
+
+ cycle.push_back(Variable(j));
+ // Go along the cycle.
+ j = k;
+ } while (!visited[j]);
+
+ // End of cycle.
// Avoid calling clear_*_minimized() if cycle.size() is less than 2,
// to improve efficiency.
@@ -58628,26 +58696,26 @@ Grid::map_space_dimensions(const Partial_Function& pfunc) {
const Coefficient& system_divisor = i->divisor();
for (i = old_gensys.begin(); i != old_gensys_end; ++i) {
const Grid_Generator& old_g = *i;
- const Grid_Generator::Expression& old_g_e = old_g.expression();
+ const Grid_Generator::expr_type old_g_e = old_g.expression();
Linear_Expression expr;
expr.set_space_dimension(new_space_dimension);
bool all_zeroes = true;
- for (Grid_Generator::Expression::const_iterator j = old_g_e.begin(),
+ for (Grid_Generator::expr_type::const_iterator j = old_g_e.begin(),
j_end = old_g_e.end(); j != j_end; ++j) {
const dimension_type mapped_id = pfunc_maps[j.variable().id()];
if (mapped_id != not_a_dimension()) {
add_mul_assign(expr, *j, Variable(mapped_id));
- all_zeroes = false;
+ all_zeroes = false;
}
}
switch (old_g.type()) {
case Grid_Generator::LINE:
if (!all_zeroes)
- new_gensys.insert(grid_line(expr));
+ new_gensys.insert(grid_line(expr));
break;
case Grid_Generator::PARAMETER:
if (!all_zeroes)
- new_gensys.insert(parameter(expr, system_divisor));
+ new_gensys.insert(parameter(expr, system_divisor));
break;
case Grid_Generator::POINT:
new_gensys.insert(grid_point(expr, old_g.divisor()));
@@ -58666,12 +58734,12 @@ Grid::map_space_dimensions(const Partial_Function& pfunc) {
template <typename M>
void
Grid::reduce_reduced(Swapping_Vector<typename M::row_type>& rows,
- const dimension_type dim,
- const dimension_type pivot_index,
- const dimension_type start,
- const dimension_type end,
- const Dimension_Kinds& sys_dim_kinds,
- const bool generators) {
+ const dimension_type dim,
+ const dimension_type pivot_index,
+ const dimension_type start,
+ const dimension_type end,
+ const Dimension_Kinds& sys_dim_kinds,
+ const bool generators) {
// TODO: Remove this.
typedef typename M::row_type M_row_type;
@@ -58706,8 +58774,8 @@ Grid::reduce_reduced(Swapping_Vector<typename M::row_type>& rows,
// row_kind CONGRUENCE is included as PARAMETER
if (row_is_line_or_equality
- || (row_kind == PARAMETER
- && sys_dim_kinds[kinds_index] == PARAMETER)) {
+ || (row_kind == PARAMETER
+ && sys_dim_kinds[kinds_index] == PARAMETER)) {
M_row_type& row = rows[row_index];
const Coefficient& row_dim = row.expr.get(dim);
@@ -58720,11 +58788,11 @@ Grid::reduce_reduced(Swapping_Vector<typename M::row_type>& rows,
// -5 < row_dim <= 5.
row_dim_remainder = row_dim % pivot_dim;
if (row_dim_remainder < 0) {
- if (row_dim_remainder <= -pivot_dim_half)
- --num_rows_to_subtract;
+ if (row_dim_remainder <= -pivot_dim_half)
+ --num_rows_to_subtract;
}
else if (row_dim_remainder > 0 && row_dim_remainder > pivot_dim_half)
- ++num_rows_to_subtract;
+ ++num_rows_to_subtract;
// Subtract num_rows_to_subtract copies of pivot from row i. Only the
// entries from dim need to be subtracted, as the preceding
@@ -58741,19 +58809,19 @@ Grid::reduce_reduced(Swapping_Vector<typename M::row_type>& rows,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid.defs.hh line 2664. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_defs.hh line 2664. */
-/* Automatically generated from PPL source file ../src/BD_Shape.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_defs.hh line 1. */
/* BD_Shape class declaration.
*/
-/* Automatically generated from PPL source file ../src/DB_Matrix.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_defs.hh line 1. */
/* DB_Matrix class declaration.
*/
-/* Automatically generated from PPL source file ../src/DB_Matrix.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -58763,12 +58831,12 @@ class DB_Matrix;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/DB_Row.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_defs.hh line 1. */
/* DB_Row class declaration.
*/
-/* Automatically generated from PPL source file ../src/DB_Row.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -58781,12 +58849,12 @@ class DB_Row;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Ptr_Iterator.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ptr_Iterator_defs.hh line 1. */
/* Ptr_Iterator class declaration.
*/
-/* Automatically generated from PPL source file ../src/Ptr_Iterator.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ptr_Iterator_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -58800,7 +58868,7 @@ class Ptr_Iterator;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Ptr_Iterator.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ptr_Iterator_defs.hh line 28. */
#include <iterator>
namespace Parma_Polyhedra_Library {
@@ -58831,7 +58899,7 @@ operator-(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y);
template<typename P>
Ptr_Iterator<P> operator+(typename Ptr_Iterator<P>::difference_type m,
- const Ptr_Iterator<P>& y);
+ const Ptr_Iterator<P>& y);
} // namespace Implementation
@@ -58843,10 +58911,10 @@ Ptr_Iterator<P> operator+(typename Ptr_Iterator<P>::difference_type m,
template <typename P>
class Parma_Polyhedra_Library::Implementation::Ptr_Iterator
: public std::iterator<typename std::iterator_traits<P>::iterator_category,
- typename std::iterator_traits<P>::value_type,
- typename std::iterator_traits<P>::difference_type,
- typename std::iterator_traits<P>::pointer,
- typename std::iterator_traits<P>::reference> {
+ typename std::iterator_traits<P>::value_type,
+ typename std::iterator_traits<P>::difference_type,
+ typename std::iterator_traits<P>::pointer,
+ typename std::iterator_traits<P>::reference> {
public:
typedef typename std::iterator_traits<P>::difference_type difference_type;
typedef typename std::iterator_traits<P>::reference reference;
@@ -58940,16 +59008,16 @@ private:
friend Ptr_Iterator<P>
Parma_Polyhedra_Library::Implementation::
operator+<>(typename Ptr_Iterator<P>::difference_type m,
- const Ptr_Iterator<P>& y);
+ const Ptr_Iterator<P>& y);
};
-/* Automatically generated from PPL source file ../src/Ptr_Iterator.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ptr_Iterator_inlines.hh line 1. */
/* Ptr_Iterator class implementation: inline functions.
*/
#include <algorithm>
-/* Automatically generated from PPL source file ../src/Ptr_Iterator.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ptr_Iterator_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -59102,7 +59170,7 @@ operator-(const Ptr_Iterator<P>& x, const Ptr_Iterator<Q>& y) {
template<typename P>
inline Ptr_Iterator<P>
operator+(typename Ptr_Iterator<P>::difference_type m,
- const Ptr_Iterator<P>& y) {
+ const Ptr_Iterator<P>& y) {
return Ptr_Iterator<P>(m + y.base());
}
@@ -59110,9 +59178,9 @@ operator+(typename Ptr_Iterator<P>::difference_type m,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Ptr_Iterator.defs.hh line 171. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Ptr_Iterator_defs.hh line 171. */
-/* Automatically generated from PPL source file ../src/DB_Row.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_defs.hh line 30. */
#include <cstddef>
#include <vector>
@@ -59244,7 +59312,7 @@ public:
*/
template <typename U>
void construct_upward_approximation(const DB_Row<U>& y,
- dimension_type capacity);
+ dimension_type capacity);
//@}
@@ -59406,7 +59474,7 @@ void swap(DB_Row<T>& x, DB_Row<T>& y);
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename T>
void iter_swap(typename std::vector<DB_Row<T> >::iterator x,
- typename std::vector<DB_Row<T> >::iterator y);
+ typename std::vector<DB_Row<T> >::iterator y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! \name Classical comparison operators.
@@ -59534,9 +59602,9 @@ private:
//! The vector of coefficients.
T vec_[
#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- 0
+ 0
#else
- 1
+ 1
#endif
];
@@ -59550,12 +59618,12 @@ private:
void copy_construct(const Impl& y);
};
-/* Automatically generated from PPL source file ../src/DB_Row.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_inlines.hh line 1. */
/* DB_Row class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/DB_Row.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_inlines.hh line 29. */
#include <cstddef>
#include <limits>
#include <algorithm>
@@ -59566,7 +59634,7 @@ namespace Parma_Polyhedra_Library {
template <typename T>
inline void*
DB_Row_Impl_Handler<T>::Impl::operator new(const size_t fixed_size,
- const dimension_type capacity) {
+ const dimension_type capacity) {
#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
return ::operator new(fixed_size + capacity*sizeof(T));
#else
@@ -59703,9 +59771,9 @@ template <typename T>
inline void
DB_Row<T>::allocate(
#if PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
- const
+ const
#endif
- dimension_type capacity) {
+ dimension_type capacity) {
DB_Row<T>& x = *this;
PPL_ASSERT(capacity <= max_size());
#if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
@@ -59746,7 +59814,7 @@ template <typename T>
template <typename U>
inline void
DB_Row<T>::construct_upward_approximation(const DB_Row<U>& y,
- const dimension_type capacity) {
+ const dimension_type capacity) {
DB_Row<T>& x = *this;
PPL_ASSERT(y.size() <= capacity && capacity <= max_size());
allocate(capacity);
@@ -59757,7 +59825,7 @@ DB_Row<T>::construct_upward_approximation(const DB_Row<U>& y,
template <typename T>
inline void
DB_Row<T>::construct(const dimension_type sz,
- const dimension_type capacity) {
+ const dimension_type capacity) {
PPL_ASSERT(sz <= capacity && capacity <= max_size());
allocate(capacity);
expand_within_capacity(sz);
@@ -59772,7 +59840,7 @@ DB_Row<T>::construct(const dimension_type sz) {
template <typename T>
inline
DB_Row<T>::DB_Row(const dimension_type sz,
- const dimension_type capacity)
+ const dimension_type capacity)
: DB_Row_Impl_Handler<T>() {
construct(sz, capacity);
}
@@ -59796,7 +59864,7 @@ DB_Row<T>::DB_Row(const DB_Row& y)
template <typename T>
inline
DB_Row<T>::DB_Row(const DB_Row& y,
- const dimension_type capacity)
+ const dimension_type capacity)
: DB_Row_Impl_Handler<T>() {
PPL_ASSERT(y.impl);
PPL_ASSERT(y.size() <= capacity && capacity <= max_size());
@@ -59807,8 +59875,8 @@ DB_Row<T>::DB_Row(const DB_Row& y,
template <typename T>
inline
DB_Row<T>::DB_Row(const DB_Row& y,
- const dimension_type sz,
- const dimension_type capacity)
+ const dimension_type sz,
+ const dimension_type capacity)
: DB_Row_Impl_Handler<T>() {
PPL_ASSERT(y.impl);
PPL_ASSERT(y.size() <= sz && sz <= capacity && capacity <= max_size());
@@ -59949,18 +60017,18 @@ swap(DB_Row<T>& x, DB_Row<T>& y) {
template <typename T>
inline void
iter_swap(typename std::vector<DB_Row<T> >::iterator x,
- typename std::vector<DB_Row<T> >::iterator y) {
+ typename std::vector<DB_Row<T> >::iterator y) {
swap(*x, *y);
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/DB_Row.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_templates.hh line 1. */
/* DB_Row class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/DB_Row.templates.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_templates.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -60060,11 +60128,11 @@ DB_Row_Impl_Handler<T>::Impl::external_memory_in_bytes() const {
template <typename T>
bool
DB_Row<T>::OK(const dimension_type row_size,
- const dimension_type
+ const dimension_type
#if PPL_DB_ROW_EXTRA_DEBUG
- row_capacity
+ row_capacity
#endif
- ) const {
+ ) const {
#ifndef NDEBUG
using std::endl;
using std::cerr;
@@ -60077,7 +60145,7 @@ DB_Row<T>::OK(const dimension_type row_size,
# if !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
if (x.capacity_ == 0) {
cerr << "Illegal row capacity: is 0, should be at least 1"
- << endl;
+ << endl;
is_broken = true;
}
else if (x.capacity_ == 1 && row_capacity == 0)
@@ -60087,8 +60155,8 @@ DB_Row<T>::OK(const dimension_type row_size,
# endif // !PPL_CXX_SUPPORTS_ZERO_LENGTH_ARRAYS
if (x.capacity_ != row_capacity) {
cerr << "DB_Row capacity mismatch: is " << x.capacity_
- << ", should be " << row_capacity << "."
- << endl;
+ << ", should be " << row_capacity << "."
+ << endl;
is_broken = true;
}
#endif // PPL_DB_ROW_EXTRA_DEBUG
@@ -60096,8 +60164,8 @@ DB_Row<T>::OK(const dimension_type row_size,
if (x.size() != row_size) {
#ifndef NDEBUG
cerr << "DB_Row size mismatch: is " << x.size()
- << ", should be " << row_size << "."
- << endl;
+ << ", should be " << row_size << "."
+ << endl;
#endif
is_broken = true;
}
@@ -60106,8 +60174,8 @@ DB_Row<T>::OK(const dimension_type row_size,
if (x.capacity_ < x.size()) {
#ifndef NDEBUG
cerr << "DB_Row is completely broken: capacity is " << x.capacity_
- << ", size is " << x.size() << "."
- << endl;
+ << ", size is " << x.size() << "."
+ << endl;
#endif
is_broken = true;
}
@@ -60124,7 +60192,7 @@ DB_Row<T>::OK(const dimension_type row_size,
if (is_not_a_number(element)) {
#ifndef NDEBUG
cerr << "Not-a-number found in DB_Row."
- << endl;
+ << endl;
#endif
is_broken = true;
break;
@@ -60148,9 +60216,9 @@ operator==(const DB_Row<T>& x, const DB_Row<T>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/DB_Row.defs.hh line 469. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Row_defs.hh line 469. */
-/* Automatically generated from PPL source file ../src/DB_Matrix.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_defs.hh line 32. */
#include <vector>
#include <cstddef>
#include <iosfwd>
@@ -60388,12 +60456,12 @@ bool operator!=(const DB_Matrix<T>& x, const DB_Matrix<T>& y);
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Temp, typename To, typename T>
bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Computes the euclidean distance between \p x and \p y.
@@ -60410,12 +60478,12 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Temp, typename To, typename T>
bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
@@ -60441,12 +60509,12 @@ bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/DB_Matrix.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_inlines.hh line 1. */
/* DB_Matrix class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/DB_Matrix.inlines.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_inlines.hh line 31. */
#include <iostream>
namespace Parma_Polyhedra_Library {
@@ -60626,12 +60694,12 @@ DB_Matrix<T>::operator=(const DB_Matrix& y) {
template <typename Specialization, typename Temp, typename To, typename T>
inline bool
l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
const dimension_type x_num_rows = x.num_rows();
if (x_num_rows != y.num_rows())
return false;
@@ -60643,26 +60711,26 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
const T& x_i_j = x_i[j];
const T& y_i_j = y_i[j];
if (is_plus_infinity(x_i_j)) {
- if (is_plus_infinity(y_i_j))
- continue;
- else {
- pinf:
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
- }
+ if (is_plus_infinity(y_i_j))
+ continue;
+ else {
+ pinf:
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
+ }
}
else if (is_plus_infinity(y_i_j))
- goto pinf;
+ goto pinf;
const Temp* tmp1p;
const Temp* tmp2p;
if (x_i_j > y_i_j) {
- maybe_assign(tmp1p, tmp1, x_i_j, dir);
- maybe_assign(tmp2p, tmp2, y_i_j, inverse(dir));
+ maybe_assign(tmp1p, tmp1, x_i_j, dir);
+ maybe_assign(tmp2p, tmp2, y_i_j, inverse(dir));
}
else {
- maybe_assign(tmp1p, tmp1, y_i_j, dir);
- maybe_assign(tmp2p, tmp2, x_i_j, inverse(dir));
+ maybe_assign(tmp1p, tmp1, y_i_j, dir);
+ maybe_assign(tmp2p, tmp2, x_i_j, inverse(dir));
}
sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
PPL_ASSERT(sgn(tmp1) >= 0);
@@ -60680,18 +60748,18 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return
l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
}
@@ -60701,18 +60769,18 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return
l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -60721,18 +60789,18 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const DB_Matrix<T>& x,
- const DB_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const DB_Matrix<T>& x,
+ const DB_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return
l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -60746,7 +60814,7 @@ swap(DB_Matrix<T>& x, DB_Matrix<T>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/DB_Matrix.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_templates.hh line 1. */
/* DB_Matrix class implementation: non-inline template functions.
*/
@@ -60786,27 +60854,27 @@ DB_Matrix<T>::grow(const dimension_type new_n_rows) {
if (new_n_rows <= row_capacity) {
// We can recycle the old rows.
if (rows.capacity() < new_n_rows) {
- // Reallocation will take place.
- std::vector<DB_Row<T> > new_rows;
- new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
- new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
- // Construct the new rows.
- dimension_type i = new_n_rows;
- while (i-- > old_n_rows)
- new_rows[i].construct(new_n_rows, row_capacity);
- // Steal the old rows.
- ++i;
- while (i-- > 0)
- swap(new_rows[i], rows[i]);
- // Put the new vector into place.
+ // Reallocation will take place.
+ std::vector<DB_Row<T> > new_rows;
+ new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
+ new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
+ // Construct the new rows.
+ dimension_type i = new_n_rows;
+ while (i-- > old_n_rows)
+ new_rows[i].construct(new_n_rows, row_capacity);
+ // Steal the old rows.
+ ++i;
+ while (i-- > 0)
+ swap(new_rows[i], rows[i]);
+ // Put the new vector into place.
using std::swap;
- swap(rows, new_rows);
+ swap(rows, new_rows);
}
else {
- // Reallocation will NOT take place.
- rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
- for (dimension_type i = new_n_rows; i-- > old_n_rows; )
- rows[i].construct(new_n_rows, row_capacity);
+ // Reallocation will NOT take place.
+ rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
+ for (dimension_type i = new_n_rows; i-- > old_n_rows; )
+ rows[i].construct(new_n_rows, row_capacity);
}
}
else {
@@ -60817,19 +60885,19 @@ DB_Matrix<T>::grow(const dimension_type new_n_rows) {
// Construct the new rows.
new_matrix.row_size = new_n_rows;
new_matrix.row_capacity = compute_capacity(new_n_rows,
- max_num_columns());
+ max_num_columns());
dimension_type i = new_n_rows;
while (i-- > old_n_rows)
- new_matrix.rows[i].construct(new_matrix.row_size,
- new_matrix.row_capacity);
+ new_matrix.rows[i].construct(new_matrix.row_size,
+ new_matrix.row_capacity);
// Copy the old rows.
++i;
while (i-- > 0) {
- // FIXME: copying may be unnecessarily costly.
- DB_Row<T> new_row(rows[i],
- new_matrix.row_size,
- new_matrix.row_capacity);
- swap(new_matrix.rows[i], new_row);
+ // FIXME: copying may be unnecessarily costly.
+ DB_Row<T> new_row(rows[i],
+ new_matrix.row_size,
+ new_matrix.row_capacity);
+ swap(new_matrix.rows[i], new_row);
}
// Put the new vector into place.
m_swap(new_matrix);
@@ -60842,16 +60910,16 @@ DB_Matrix<T>::grow(const dimension_type new_n_rows) {
if (new_n_rows <= row_capacity)
// But we have enough capacity: we resize existing rows.
for (dimension_type i = old_n_rows; i-- > 0; )
- rows[i].expand_within_capacity(new_n_rows);
+ rows[i].expand_within_capacity(new_n_rows);
else {
// Capacity exhausted: we must reallocate the rows and
// make sure all the rows have the same capacity.
const dimension_type new_row_capacity
- = compute_capacity(new_n_rows, max_num_columns());
+ = compute_capacity(new_n_rows, max_num_columns());
for (dimension_type i = old_n_rows; i-- > 0; ) {
- // FIXME: copying may be unnecessarily costly.
- DB_Row<T> new_row(rows[i], new_n_rows, new_row_capacity);
- swap(rows[i], new_row);
+ // FIXME: copying may be unnecessarily costly.
+ DB_Row<T> new_row(rows[i], new_n_rows, new_row_capacity);
+ swap(rows[i], new_row);
}
row_capacity = new_row_capacity;
}
@@ -60870,30 +60938,30 @@ DB_Matrix<T>::resize_no_copy(const dimension_type new_n_rows) {
if (new_n_rows <= row_capacity) {
// We can recycle the old rows.
if (rows.capacity() < new_n_rows) {
- // Reallocation (of vector `rows') will take place.
- std::vector<DB_Row<T> > new_rows;
- new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
- new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
- // Construct the new rows (be careful: each new row must have
- // the same capacity as each one of the old rows).
- dimension_type i = new_n_rows;
- while (i-- > old_n_rows)
- new_rows[i].construct(new_n_rows, row_capacity);
- // Steal the old rows.
- ++i;
- while (i-- > 0)
- swap(new_rows[i], rows[i]);
- // Put the new vector into place.
+ // Reallocation (of vector `rows') will take place.
+ std::vector<DB_Row<T> > new_rows;
+ new_rows.reserve(compute_capacity(new_n_rows, max_num_rows()));
+ new_rows.insert(new_rows.end(), new_n_rows, DB_Row<T>());
+ // Construct the new rows (be careful: each new row must have
+ // the same capacity as each one of the old rows).
+ dimension_type i = new_n_rows;
+ while (i-- > old_n_rows)
+ new_rows[i].construct(new_n_rows, row_capacity);
+ // Steal the old rows.
+ ++i;
+ while (i-- > 0)
+ swap(new_rows[i], rows[i]);
+ // Put the new vector into place.
using std::swap;
- swap(rows, new_rows);
+ swap(rows, new_rows);
}
else {
- // Reallocation (of vector `rows') will NOT take place.
- rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
- // Be careful: each new row must have
- // the same capacity as each one of the old rows.
- for (dimension_type i = new_n_rows; i-- > old_n_rows; )
- rows[i].construct(new_n_rows, row_capacity);
+ // Reallocation (of vector `rows') will NOT take place.
+ rows.insert(rows.end(), new_n_rows - old_n_rows, DB_Row<T>());
+ // Be careful: each new row must have
+ // the same capacity as each one of the old rows.
+ for (dimension_type i = new_n_rows; i-- > old_n_rows; )
+ rows[i].construct(new_n_rows, row_capacity);
}
}
else {
@@ -60917,15 +60985,15 @@ DB_Matrix<T>::resize_no_copy(const dimension_type new_n_rows) {
if (new_n_rows <= row_capacity)
// But we have enough capacity: we resize existing rows.
for (dimension_type i = old_n_rows; i-- > 0; )
- rows[i].expand_within_capacity(new_n_rows);
+ rows[i].expand_within_capacity(new_n_rows);
else {
// Capacity exhausted: we must reallocate the rows and
// make sure all the rows have the same capacity.
const dimension_type new_row_capacity
- = compute_capacity(new_n_rows, max_num_columns());
+ = compute_capacity(new_n_rows, max_num_columns());
for (dimension_type i = old_n_rows; i-- > 0; ) {
- DB_Row<T> new_row(new_n_rows, new_row_capacity);
- swap(rows[i], new_row);
+ DB_Row<T> new_row(new_n_rows, new_row_capacity);
+ swap(rows[i], new_row);
}
row_capacity = new_row_capacity;
}
@@ -60964,7 +61032,7 @@ DB_Matrix<T>::ascii_load(std::istream& s) {
for (dimension_type j = 0; j < nrows; ++j) {
Result r = input(x[i][j], s, ROUND_CHECK);
if (result_relation(r) != VR_EQ || is_minus_infinity(x[i][j]))
- return false;
+ return false;
}
// Check invariants.
@@ -61008,9 +61076,9 @@ DB_Matrix<T>::OK() const {
if (num_rows() != row_size) {
#ifndef NDEBUG
cerr << "DB_Matrix has fewer columns than rows:\n"
- << "row_size is " << row_size
- << ", num_rows() is " << num_rows() << "!"
- << endl;
+ << "row_size is " << row_size
+ << ", num_rows() is " << num_rows() << "!"
+ << endl;
#endif
return false;
}
@@ -61043,19 +61111,19 @@ IO_Operators::operator<<(std::ostream& s, const DB_Matrix<T>& c) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/DB_Matrix.defs.hh line 324. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/DB_Matrix_defs.hh line 324. */
-/* Automatically generated from PPL source file ../src/WRD_coefficient_types.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/WRD_coefficient_types_defs.hh line 1. */
/* Coefficient types of weakly-relational domains: declarations.
*/
-/* Automatically generated from PPL source file ../src/WRD_coefficient_types.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/WRD_coefficient_types_defs.hh line 28. */
namespace Parma_Polyhedra_Library {
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
The production policy for checked numbers used in weakly-relational
domains.
*/
@@ -61114,7 +61182,7 @@ struct WRD_Extended_Number_Policy {
};
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
The debugging policy for checked numbers used in weakly-relational
domains.
*/
@@ -61174,7 +61242,7 @@ struct Debug_WRD_Extended_Number_Policy {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/WRD_coefficient_types.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/WRD_coefficient_types_inlines.hh line 1. */
/* Coefficient types of weakly-relational domains: inline functions.
*/
@@ -61195,9 +61263,9 @@ Debug_WRD_Extended_Number_Policy::handle_result(Result r) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/WRD_coefficient_types.defs.hh line 152. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/WRD_coefficient_types_defs.hh line 152. */
-/* Automatically generated from PPL source file ../src/BD_Shape.defs.hh line 52. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_defs.hh line 52. */
#include <cstddef>
#include <iosfwd>
#include <vector>
@@ -61250,7 +61318,7 @@ bool operator!=(const BD_Shape<T>& x, const BD_Shape<T>& y);
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename T>
bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -61267,7 +61335,7 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename T>
bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -61304,7 +61372,7 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename T>
bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -61321,7 +61389,7 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename T>
bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -61358,7 +61426,7 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename T>
bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -61375,7 +61443,7 @@ bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename T>
bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -63086,13 +63154,13 @@ private:
DB_Matrix<N> dbm;
#define PPL_IN_BD_Shape_CLASS
-/* Automatically generated from PPL source file ../src/BDS_Status.idefs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BDS_Status_idefs.hh line 1. */
/* BD_Shape<T>::Status class declaration.
*/
#ifndef PPL_IN_BD_Shape_CLASS
-#error "Do not include BDS_Status.idefs.hh directly; use BD_Shape.defs.hh instead"
+#error "Do not include BDS_Status_idefs.hh directly; use BD_Shape_defs.hh instead"
#endif
//! A conjunctive assertion about a BD_Shape<T> object.
@@ -63181,7 +63249,7 @@ private:
void reset(flags_t mask);
};
-/* Automatically generated from PPL source file ../src/BD_Shape.defs.hh line 1941. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_defs.hh line 1941. */
#undef PPL_IN_BD_Shape_CLASS
//! The status flags to keep track of the internal state.
@@ -63458,64 +63526,68 @@ private:
Coefficient_traits::const_reference sc_denom,
const N& ub_v);
- /* \brief
+ /*! \brief
Auxiliary function for \ref affine_form_relation "affine form image" that
- handle the general case: \f$l \equal c\f$
+ handle the general case: \f$l = c\f$
*/
template <typename Interval_Info>
void inhomogeneous_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b);
+ const Interval<T, Interval_Info>& b);
- /* \brief
- Auxiliary function for \ref affine_form_relation "affine form image" that
- handle the general case: \f$l \equal ax + c\f$
+ /*! \brief
+ Auxiliary function for \ref affine_form_relation "affine form
+ image" that handle the general case: \f$l = ax + c\f$
*/
template <typename Interval_Info>
- void one_variable_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b,
- const Interval<T, Interval_Info>& w_coeff,
- const dimension_type& w_id,
- const dimension_type& space_dim);
+ void one_variable_affine_form_image
+ (const dimension_type& var_id,
+ const Interval<T, Interval_Info>& b,
+ const Interval<T, Interval_Info>& w_coeff,
+ const dimension_type& w_id,
+ const dimension_type& space_dim);
- /* \brief
+ /*! \brief
Auxiliary function for \ref affine_form_relation "affine form image" that
- handle the general case: \f$l \equal ax + by + c\f$
+ handle the general case: \f$l = ax + by + c\f$
*/
template <typename Interval_Info>
- void two_variables_affine_form_image(const dimension_type& var_id,
- const Linear_Form<Interval<T,Interval_Info> >& lf,
- const dimension_type& space_dim);
+ void two_variables_affine_form_image
+ (const dimension_type& var_id,
+ const Linear_Form<Interval<T,Interval_Info> >& lf,
+ const dimension_type& space_dim);
- /* \brief
+ /*! \brief
Auxiliary function for refine with linear form that handle
- the general case: \f$l \equal ax + c\f$
+ the general case: \f$l = ax + c\f$
*/
template <typename Interval_Info>
- void left_inhomogeneous_refine(const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
+ void left_inhomogeneous_refine
+ (const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
- /* \brief
+ /*! \brief
Auxiliary function for refine with linear form that handle
- the general case: \f$ax +b \equal cy + d\f$
+ the general case: \f$ax + b = cy + d\f$
*/
template <typename Interval_Info>
- void left_one_var_refine(const dimension_type& left_w_id,
- const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
+ void left_one_var_refine
+ (const dimension_type& left_w_id,
+ const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
-/* \brief
+ /*! \brief
Auxiliary function for refine with linear form that handle
the general case.
*/
template <typename Interval_Info>
void general_refine(const dimension_type& left_w_id,
- const dimension_type& right_w_id,
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right);
+ const dimension_type& right_w_id,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right);
template <typename Interval_Info>
void linear_form_upper_bound(const Linear_Form<Interval<T, Interval_Info> >&
@@ -63604,7 +63676,7 @@ private:
//@} // Exception Throwers
};
-/* Automatically generated from PPL source file ../src/BDS_Status.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BDS_Status_inlines.hh line 1. */
/* BD_Shape<T>::Status class implementation: inline functions.
*/
@@ -63740,7 +63812,7 @@ BD_Shape<T>::Status::OK() const {
else {
#ifndef NDEBUG
std::cerr << "The empty flag is incompatible with any other one."
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -63753,8 +63825,8 @@ BD_Shape<T>::Status::OK() const {
else {
#ifndef NDEBUG
std::cerr << "The shortest-path reduction flag should also imply "
- << "the closure flag."
- << std::endl;
+ << "the closure flag."
+ << std::endl;
#endif
return false;
}
@@ -63850,17 +63922,17 @@ BD_Shape<T>::Status::ascii_load(std::istream& s) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/BD_Shape.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_inlines.hh line 1. */
/* BD_Shape class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/C_Polyhedron.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Polyhedron_defs.hh line 1. */
/* C_Polyhedron class declaration.
*/
-/* Automatically generated from PPL source file ../src/C_Polyhedron.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Polyhedron_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -63869,7 +63941,7 @@ class C_Polyhedron;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/NNC_Polyhedron.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/NNC_Polyhedron_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -63878,7 +63950,7 @@ class NNC_Polyhedron;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/C_Polyhedron.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Polyhedron_defs.hh line 33. */
//! A closed convex polyhedron.
/*! \ingroup PPL_CXX_interface
@@ -63922,7 +63994,7 @@ public:
by default, a 0-dimension space universe C polyhedron is built.
*/
explicit C_Polyhedron(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
+ Degenerate_Element kind = UNIVERSE);
//! Builds a C polyhedron from a system of constraints.
/*!
@@ -64124,7 +64196,7 @@ public:
bool upper_bound_assign_if_exact(const C_Polyhedron& y);
};
-/* Automatically generated from PPL source file ../src/C_Polyhedron.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Polyhedron_inlines.hh line 1. */
/* C_Polyhedron class implementation: inline functions.
*/
@@ -64140,14 +64212,14 @@ C_Polyhedron::~C_Polyhedron() {
inline
C_Polyhedron::C_Polyhedron(dimension_type num_dimensions,
- Degenerate_Element kind)
+ Degenerate_Element kind)
: Polyhedron(NECESSARILY_CLOSED,
check_space_dimension_overflow(num_dimensions,
NECESSARILY_CLOSED,
"C_Polyhedron(n, k)",
"n exceeds the maximum "
"allowed space dimension"),
- kind) {
+ kind) {
}
inline
@@ -64168,7 +64240,7 @@ C_Polyhedron::C_Polyhedron(Constraint_System& cs, Recycle_Input)
"the space dimension of cs "
"exceeds the maximum allowed "
"space dimension"),
- Recycle_Input()) {
+ Recycle_Input()) {
}
inline
@@ -64189,7 +64261,7 @@ C_Polyhedron::C_Polyhedron(Generator_System& gs, Recycle_Input)
"the space dimension of gs "
"exceeds the maximum allowed "
"space dimension"),
- Recycle_Input()) {
+ Recycle_Input()) {
}
template <typename Interval>
@@ -64256,19 +64328,19 @@ C_Polyhedron::upper_bound_assign_if_exact(const C_Polyhedron& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/C_Polyhedron.defs.hh line 279. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/C_Polyhedron_defs.hh line 279. */
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_defs.hh line 1. */
/* Octagonal_Shape class declaration.
*/
-/* Automatically generated from PPL source file ../src/OR_Matrix.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_defs.hh line 1. */
/* OR_Matrix class declaration.
*/
-/* Automatically generated from PPL source file ../src/OR_Matrix.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -64278,7 +64350,7 @@ class OR_Matrix;
}
-/* Automatically generated from PPL source file ../src/OR_Matrix.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_defs.hh line 31. */
#include <cstddef>
#include <iosfwd>
@@ -64802,12 +64874,12 @@ bool operator!=(const OR_Matrix<T>& x, const OR_Matrix<T>& y);
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Temp, typename To, typename T>
bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Computes the euclidean distance between \p x and \p y.
@@ -64824,12 +64896,12 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Temp, typename To, typename T>
bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Computes the \f$L_\infty\f$ distance between \p x and \p y.
@@ -64846,21 +64918,21 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Temp, typename To, typename T>
bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2);
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/OR_Matrix.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_inlines.hh line 1. */
/* OR_Matrix class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/OR_Matrix.inlines.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_inlines.hh line 33. */
#include <algorithm>
namespace Parma_Polyhedra_Library {
@@ -64904,9 +64976,9 @@ template <typename U>
inline
OR_Matrix<T>::Pseudo_Row<U>::Pseudo_Row(U& y
#if PPL_OR_MATRIX_EXTRA_DEBUG
- , dimension_type s
+ , dimension_type s
#endif
- )
+ )
: first(&y)
#if PPL_OR_MATRIX_EXTRA_DEBUG
, size_(s)
@@ -64974,9 +65046,9 @@ inline
OR_Matrix<T>::any_row_iterator<U>::any_row_iterator(U& base)
: value(base
#if PPL_OR_MATRIX_EXTRA_DEBUG
- , OR_Matrix<T>::row_size(0)
+ , OR_Matrix<T>::row_size(0)
#endif
- ),
+ ),
e(0),
i(0) {
}
@@ -65281,7 +65353,7 @@ isqrt(dimension_type x) {
dimension_type r = 0;
const dimension_type FIRST_BIT_MASK = 0x40000000U;
for (dimension_type t = FIRST_BIT_MASK; t != 0; t >>= 2) {
- dimension_type s = r + t;
+ const dimension_type s = r + t;
if (s <= x) {
x -= s;
r = s + t;
@@ -65296,7 +65368,7 @@ inline dimension_type
OR_Matrix<T>::max_num_rows() {
// Compute the maximum number of rows that are contained in a DB_Row
// that allocates a pseudo-triangular matrix.
- dimension_type k = isqrt(2*DB_Row<T>::max_size() + 1);
+ const dimension_type k = isqrt(2*DB_Row<T>::max_size() + 1);
return (k - 1) - (k - 1) % 2;
}
@@ -65324,9 +65396,9 @@ inline typename OR_Matrix<T>::row_reference_type
OR_Matrix<T>::operator[](dimension_type k) {
return row_reference_type(vec[row_first_element_index(k)]
#if PPL_OR_MATRIX_EXTRA_DEBUG
- , row_size(k)
+ , row_size(k)
#endif
- );
+ );
}
template <typename T>
@@ -65334,9 +65406,9 @@ inline typename OR_Matrix<T>::const_row_reference_type
OR_Matrix<T>::operator[](dimension_type k) const {
return const_row_reference_type(vec[row_first_element_index(k)]
#if PPL_OR_MATRIX_EXTRA_DEBUG
- , row_size(k)
+ , row_size(k)
#endif
- );
+ );
}
template <typename T>
@@ -65421,8 +65493,8 @@ OR_Matrix<T>::grow(const dimension_type new_dim) {
OR_Matrix<T> new_matrix(new_dim);
element_iterator j = new_matrix.element_begin();
for (element_iterator i = element_begin(),
- mend = element_end(); i != mend; ++i, ++j)
- assign_or_swap(*j, *i);
+ mend = element_end(); i != mend; ++i, ++j)
+ assign_or_swap(*j, *i);
m_swap(new_matrix);
}
}
@@ -65463,27 +65535,27 @@ OR_Matrix<T>::resize_no_copy(const dimension_type new_dim) {
template <typename Specialization, typename Temp, typename To, typename T>
inline bool
l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
if (x.num_rows() != y.num_rows())
return false;
assign_r(tmp0, 0, ROUND_NOT_NEEDED);
for (typename OR_Matrix<T>::const_element_iterator
- i = x.element_begin(), j = y.element_begin(),
- mat_end = x.element_end(); i != mat_end; ++i, ++j) {
+ i = x.element_begin(), j = y.element_begin(),
+ mat_end = x.element_end(); i != mat_end; ++i, ++j) {
const T& x_i = *i;
const T& y_i = *j;
if (is_plus_infinity(x_i)) {
if (is_plus_infinity(y_i))
- continue;
+ continue;
else {
pinf:
- assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
- return true;
+ assign_r(r, PLUS_INFINITY, ROUND_NOT_NEEDED);
+ return true;
}
}
else if (is_plus_infinity(y_i))
@@ -65516,18 +65588,18 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return
l_m_distance_assign<Rectilinear_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -65536,18 +65608,18 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return
l_m_distance_assign<Euclidean_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
}
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -65556,18 +65628,18 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const OR_Matrix<T>& x,
- const OR_Matrix<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const OR_Matrix<T>& x,
+ const OR_Matrix<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
return
l_m_distance_assign<L_Infinity_Distance_Specialization<Temp> >(r, x, y,
- dir,
- tmp0,
- tmp1,
- tmp2);
+ dir,
+ tmp0,
+ tmp1,
+ tmp2);
}
/*! \relates OR_Matrix */
@@ -65579,7 +65651,7 @@ swap(OR_Matrix<T>& x, OR_Matrix<T>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/OR_Matrix.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_templates.hh line 1. */
/* OR_Matrix class implementation: non-inline template functions.
*/
@@ -65628,7 +65700,7 @@ OR_Matrix<T>::ascii_dump(std::ostream& s) const {
dimension_type space = x.space_dimension();
s << space << separator << "\n";
for (const_row_iterator i = x.row_begin(),
- x_row_end = x.row_end(); i != x_row_end; ++i) {
+ x_row_end = x.row_end(); i != x_row_end; ++i) {
const_row_reference_type r = *i;
dimension_type rs = i.row_size();
for (dimension_type j = 0; j < rs; ++j) {
@@ -65649,13 +65721,13 @@ OR_Matrix<T>::ascii_load(std::istream& s) {
return false;
resize_no_copy(space);
for (row_iterator i = row_begin(),
- this_row_end = row_end(); i != this_row_end; ++i) {
+ this_row_end = row_end(); i != this_row_end; ++i) {
row_reference_type r_i = *i;
const dimension_type rs = i.row_size();
for (dimension_type j = 0; j < rs; ++j) {
Result r = input(r_i[j], s, ROUND_CHECK);
if (result_relation(r) != VR_EQ || is_minus_infinity(r_i[j]))
- return false;
+ return false;
}
}
PPL_ASSERT(OK());
@@ -65669,7 +65741,7 @@ template <typename T>
std::ostream&
IO_Operators::operator<<(std::ostream& s, const OR_Matrix<T>& m) {
for (typename OR_Matrix<T>::const_row_iterator m_iter = m.row_begin(),
- m_end = m.row_end(); m_iter != m_end; ++m_iter) {
+ m_end = m.row_end(); m_iter != m_end; ++m_iter) {
typename OR_Matrix<T>::const_row_reference_type r_m = *m_iter;
const dimension_type mr_size = m_iter.row_size();
for (dimension_type j = 0; j < mr_size; ++j)
@@ -65681,9 +65753,9 @@ IO_Operators::operator<<(std::ostream& s, const OR_Matrix<T>& m) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/OR_Matrix.defs.hh line 609. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/OR_Matrix_defs.hh line 609. */
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.defs.hh line 50. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_defs.hh line 50. */
#include <vector>
#include <cstddef>
#include <climits>
@@ -65741,7 +65813,7 @@ bool operator!=(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y);
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename T>
bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -65758,7 +65830,7 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename T>
bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -65795,7 +65867,7 @@ bool rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename T>
bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -65812,7 +65884,7 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename T>
bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -65849,7 +65921,7 @@ bool euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<To, Extended_Number_Policy>.
+ <CODE>Checked_Number\<To, Extended_Number_Policy\></CODE>.
*/
template <typename To, typename T>
bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -65866,7 +65938,7 @@ bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
The direction of the approximation is specified by \p dir.
All computations are performed using variables of type
- Checked_Number<Temp, Extended_Number_Policy>.
+ <CODE>Checked_Number\<Temp, Extended_Number_Policy\></CODE>.
*/
template <typename Temp, typename To, typename T>
bool l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
@@ -67550,19 +67622,19 @@ private:
dimension_type space_dim;
// Please, do not move the following include directive:
- // `Og_Status.idefs.hh' must be included exactly at this point.
+ // `Og_Status_idefs.hh' must be included exactly at this point.
// And please do not remove the space separating `#' from `include':
// this ensures that the directive will not be moved during the
// procedure that automatically creates the library's include file
// (see `Makefile.am' in the `src' directory).
#define PPL_IN_Octagonal_Shape_CLASS
-/* Automatically generated from PPL source file ../src/Og_Status.idefs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Og_Status_idefs.hh line 1. */
/* Octagonal_Shape<T>::Status class declaration.
*/
#ifndef PPL_IN_Octagonal_Shape_CLASS
-#error "Do not include Og_Status.idefs.hh directly; use Octagonal_Shape.defs.hh instead"
+#error "Do not include Og_Status_idefs.hh directly; use Octagonal_Shape_defs.hh instead"
#endif
//! A conjunctive assertion about a Octagonal_Shape<T> object.
@@ -67646,7 +67718,7 @@ private:
};
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.defs.hh line 1923. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_defs.hh line 1923. */
#undef PPL_IN_Octagonal_Shape_CLASS
//! The status flags to keep track of the internal state.
@@ -67698,7 +67770,7 @@ private:
*/
template <typename Interval_Info>
void linear_form_upper_bound(
- const Linear_Form< Interval<T, Interval_Info> >& lf,
+ const Linear_Form< Interval<T, Interval_Info> >& lf,
N& result) const;
// FIXME: this function is currently not used. Consider removing it.
@@ -68044,7 +68116,7 @@ private:
//@} // Exception Throwers
};
-/* Automatically generated from PPL source file ../src/Og_Status.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Og_Status_inlines.hh line 1. */
/* Octagonal_Shape<T>::Status class implementation: inline functions.
*/
@@ -68160,7 +68232,7 @@ Octagonal_Shape<T>::Status::OK() const {
else {
#ifndef NDEBUG
std::cerr << "The empty flag is incompatible with any other one."
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -68247,17 +68319,17 @@ Octagonal_Shape<T>::Status::ascii_load(std::istream& s) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_inlines.hh line 1. */
/* Octagonal_Shape class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/wrap_assign.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/wrap_assign.hh line 1. */
/* Generic implementation of the wrap_assign() function.
*/
-/* Automatically generated from PPL source file ../src/wrap_assign.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/wrap_assign.hh line 32. */
namespace Parma_Polyhedra_Library {
@@ -68509,7 +68581,7 @@ wrap_assign(PSET& pointset,
div_2exp_assign_r(l_n, l_n, w, ROUND_DOWN);
div_2exp_assign_r(u_n, u_n, w, ROUND_DOWN);
Coefficient& first_quadrant = l_n;
- Coefficient& last_quadrant = u_n;
+ const Coefficient& last_quadrant = u_n;
// Special case: this variable does not need wrapping.
if (first_quadrant == 0 && last_quadrant == 0)
@@ -68606,7 +68678,7 @@ wrap_assign(PSET& pointset,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.inlines.hh line 36. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_inlines.hh line 36. */
#include <algorithm>
namespace Parma_Polyhedra_Library {
@@ -68679,7 +68751,7 @@ Octagonal_Shape<T>::reset_strongly_closed() {
template <typename T>
inline
Octagonal_Shape<T>::Octagonal_Shape(const dimension_type num_dimensions,
- const Degenerate_Element kind)
+ const Degenerate_Element kind)
: matrix(num_dimensions), space_dim(num_dimensions), status() {
if (kind == EMPTY)
set_empty();
@@ -68849,34 +68921,34 @@ Octagonal_Shape<T>::bounds_from_below(const Linear_Expression& expr) const {
template <typename T>
inline bool
Octagonal_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
return max_min(expr, true, sup_n, sup_d, maximum);
}
template <typename T>
inline bool
Octagonal_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum,
- Generator& g) const {
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum,
+ Generator& g) const {
return max_min(expr, true, sup_n, sup_d, maximum, g);
}
template <typename T>
inline bool
Octagonal_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
return max_min(expr, false, inf_n, inf_d, minimum);
}
template <typename T>
inline bool
Octagonal_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum,
- Generator& g) const {
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum,
+ Generator& g) const {
return max_min(expr, false, inf_n, inf_d, minimum, g);
}
@@ -68929,7 +69001,7 @@ operator!=(const Octagonal_Shape<T>& x, const Octagonal_Shape<T>& y) {
template <typename T>
inline const typename Octagonal_Shape<T>::coefficient_type&
Octagonal_Shape<T>::matrix_at(const dimension_type i,
- const dimension_type j) const {
+ const dimension_type j) const {
PPL_ASSERT(i < matrix.num_rows() && j < matrix.num_rows());
using namespace Implementation::Octagonal_Shapes;
return (j < matrix.row_size(i))
@@ -68940,7 +69012,7 @@ Octagonal_Shape<T>::matrix_at(const dimension_type i,
template <typename T>
inline typename Octagonal_Shape<T>::coefficient_type&
Octagonal_Shape<T>::matrix_at(const dimension_type i,
- const dimension_type j) {
+ const dimension_type j) {
PPL_ASSERT(i < matrix.num_rows() && j < matrix.num_rows());
using namespace Implementation::Octagonal_Shapes;
return (j < matrix.row_size(i))
@@ -68958,8 +69030,8 @@ Octagonal_Shape<T>::minimized_constraints() const {
template <typename T>
inline void
Octagonal_Shape<T>::add_octagonal_constraint(const dimension_type i,
- const dimension_type j,
- const N& k) {
+ const dimension_type j,
+ const N& k) {
// Private method: the caller has to ensure the following.
#ifndef NDEBUG
PPL_ASSERT(i < 2*space_dim && j < 2*space_dim && i != j);
@@ -68978,9 +69050,9 @@ template <typename T>
inline void
Octagonal_Shape<T>
::add_octagonal_constraint(const dimension_type i,
- const dimension_type j,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
+ const dimension_type j,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
#ifndef NDEBUG
// Private method: the caller has to ensure the following.
PPL_ASSERT(i < 2*space_dim && j < 2*space_dim && i != j);
@@ -69041,7 +69113,7 @@ Octagonal_Shape<T>::refine_with_constraints(const Constraint_System& cs) {
"cs and *this are space-dimension incompatible");
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
refine_no_check(*i);
}
@@ -69066,7 +69138,7 @@ Octagonal_Shape<T>::refine_with_congruences(const Congruence_System& cgs) {
"cgs and *this are space-dimension incompatible");
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
+ cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
refine_no_check(*i);
}
@@ -69107,7 +69179,7 @@ Octagonal_Shape<T>
// Dimension-compatibility check.
if (new_dimension > space_dim)
throw_dimension_incompatible("remove_higher_space_dimension(nd)",
- new_dimension);
+ new_dimension);
// The removal of no dimensions from any octagon is a no-op.
// Note that this case also captures the only legal removal of
// dimensions from an octagon in a 0-dim space.
@@ -69150,7 +69222,7 @@ Octagonal_Shape<T>::widening_assign(const Octagonal_Shape& y, unsigned* tp) {
template <typename T>
inline void
Octagonal_Shape<T>::CC76_extrapolation_assign(const Octagonal_Shape& y,
- unsigned* tp) {
+ unsigned* tp) {
static N stop_points[] = {
N(-2, ROUND_UP),
N(-1, ROUND_UP),
@@ -69159,10 +69231,10 @@ Octagonal_Shape<T>::CC76_extrapolation_assign(const Octagonal_Shape& y,
N( 2, ROUND_UP)
};
CC76_extrapolation_assign(y,
- stop_points,
- stop_points
- + sizeof(stop_points)/sizeof(stop_points[0]),
- tp);
+ stop_points,
+ stop_points
+ + sizeof(stop_points)/sizeof(stop_points[0]),
+ tp);
}
template <typename T>
@@ -69192,8 +69264,8 @@ template <typename T>
template <typename Interval_Info>
inline void
Octagonal_Shape<T>::generalized_refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right,
const Relation_Symbol relsym) {
switch (relsym) {
case EQUAL:
@@ -69222,7 +69294,7 @@ template <typename Interval_Info>
inline void
Octagonal_Shape<T>::
refine_fp_interval_abstract_store(
- Box< Interval<T, Interval_Info> >& store) const {
+ Box< Interval<T, Interval_Info> >& store) const {
// Check that T is a floating point type.
PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
@@ -69238,12 +69310,12 @@ refine_fp_interval_abstract_store(
template <typename Temp, typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
// Dimension-compatibility check.
if (x.space_dim != y.space_dim)
return false;
@@ -69272,16 +69344,16 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
}
return rectilinear_distance_assign(r, x.matrix, y.matrix, dir,
- tmp0, tmp1, tmp2);
+ tmp0, tmp1, tmp2);
}
/*! \relates Octagonal_Shape */
template <typename Temp, typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -69293,9 +69365,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
return rectilinear_distance_assign<To, To, T>(r, x, y, dir);
}
@@ -69303,12 +69375,12 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
// Dimension-compatibility check.
if (x.space_dim != y.space_dim)
return false;
@@ -69337,16 +69409,16 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
}
return euclidean_distance_assign(r, x.matrix, y.matrix, dir,
- tmp0, tmp1, tmp2);
+ tmp0, tmp1, tmp2);
}
/*! \relates Octagonal_Shape */
template <typename Temp, typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -69358,9 +69430,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
return euclidean_distance_assign<To, To, T>(r, x, y, dir);
}
@@ -69368,12 +69440,12 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
// Dimension-compatibility check.
if (x.space_dim != y.space_dim)
return false;
@@ -69402,16 +69474,16 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
}
return l_infinity_distance_assign(r, x.matrix, y.matrix, dir,
- tmp0, tmp1, tmp2);
+ tmp0, tmp1, tmp2);
}
/*! \relates Octagonal_Shape */
template <typename Temp, typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -69423,9 +69495,9 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Octagonal_Shape<T>& x,
- const Octagonal_Shape<T>& y,
- const Rounding_Dir dir) {
+ const Octagonal_Shape<T>& x,
+ const Octagonal_Shape<T>& y,
+ const Rounding_Dir dir) {
return l_infinity_distance_assign<To, To, T>(r, x, y, dir);
}
@@ -69463,12 +69535,12 @@ swap(Octagonal_Shape<T>& x, Octagonal_Shape<T>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_templates.hh line 1. */
/* Octagonal_Shape class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.templates.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_templates.hh line 35. */
#include <vector>
#include <deque>
#include <string>
@@ -69539,8 +69611,10 @@ Octagonal_Shape<T>::Octagonal_Shape(const Polyhedron& ph,
for (Constraint_System::const_iterator i = ph_cs.begin(),
ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
const Constraint& c = *i;
- if (c.is_strict_inequality())
- lp.add_constraint(Linear_Expression(c) >= 0);
+ if (c.is_strict_inequality()) {
+ Linear_Expression expr(c.expression());
+ lp.add_constraint(expr >= 0);
+ }
else
lp.add_constraint(c);
}
@@ -69650,7 +69724,7 @@ Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
return;
}
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typename OR_Matrix<N>::row_iterator mat_begin = matrix.row_begin();
PPL_DIRTY_TEMP(N, tmp);
@@ -69674,8 +69748,8 @@ Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
for (dimension_type i = 0; i < space_dim; ++i) {
const Coefficient& g_i = g.coefficient(Variable(i));
const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
for (dimension_type j = 0; j < i; ++j) {
const Coefficient& g_j = g.coefficient(Variable(j));
const dimension_type dj = 2*j;
@@ -69704,8 +69778,8 @@ Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
for (dimension_type i = 0; i < space_dim; ++i) {
const Coefficient& g_i = g.coefficient(Variable(i));
const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
for (dimension_type j = 0; j < i; ++j) {
const Coefficient& g_j = g.coefficient(Variable(j));
const dimension_type dj = 2*j;
@@ -69754,8 +69828,8 @@ Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
for (dimension_type i = 0; i < space_dim; ++i) {
const Coefficient& g_i = g.coefficient(Variable(i));
const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
for (dimension_type j = 0; j < i; ++j) {
const Coefficient& g_j = g.coefficient(Variable(j));
const dimension_type dj = 2*j;
@@ -69785,8 +69859,8 @@ Octagonal_Shape<T>::Octagonal_Shape(const Generator_System& gs)
for (dimension_type i = 0; i < space_dim; ++i) {
const Coefficient& g_i = g.coefficient(Variable(i));
const dimension_type di = 2*i;
- Row_Reference x_i = *(mat_begin + di);
- Row_Reference x_ii = *(mat_begin + (di + 1));
+ row_reference x_i = *(mat_begin + di);
+ row_reference x_ii = *(mat_begin + (di + 1));
for (dimension_type j = 0; j < i; ++j) {
const Coefficient& g_j = g.coefficient(Variable(j));
const dimension_type dj = 2*j;
@@ -69938,8 +70012,8 @@ template <typename T>
template <typename Interval_Info>
void
Octagonal_Shape<T>::refine_with_linear_form_inequality(
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
// Check that T is a floating point type.
PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
@@ -69991,8 +70065,8 @@ Octagonal_Shape<T>::refine_with_linear_form_inequality(
right_w_id = i;
}
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
typedef Interval<T, Interval_Info> FP_Interval_Type;
@@ -70012,7 +70086,7 @@ Octagonal_Shape<T>::refine_with_linear_form_inequality(
// The constraint has the form [a-, a+] <= [b-, b+] + [c-, c+] * x.
// Reduce it to the constraint +/-x <= b+ - a- if [c-, c+] = +/-[1, 1].
const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
+ right.coefficient(Variable(right_w_id));
if (right_w_coeff == 1) {
const dimension_type n_right = right_w_id * 2;
PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
@@ -70047,7 +70121,7 @@ Octagonal_Shape<T>::refine_with_linear_form_inequality(
// The constraint has the form [b-, b+] + [c-, c+] * x <= [a-, a+]
// Reduce it to the constraint +/-x <= a+ - b- if [c-, c+] = +/-[1, 1].
const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
+ left.coefficient(Variable(left_w_id));
if (left_w_coeff == 1) {
const dimension_type n_left = left_w_id * 2;
PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
@@ -70085,7 +70159,7 @@ Octagonal_Shape<T>::refine_with_linear_form_inequality(
const FP_Interval_Type& left_w_coeff =
left.coefficient(Variable(left_w_id));
const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
+ right.coefficient(Variable(right_w_id));
bool is_left_coeff_one = (left_w_coeff == 1);
bool is_left_coeff_minus_one = (left_w_coeff == -1);
bool is_right_coeff_one = (right_w_coeff == 1);
@@ -70311,15 +70385,15 @@ Octagonal_Shape<T>::refine_with_linear_form_inequality(
Now move the newly computed coefficients from the main diagonal to
their proper place, and restore +infinity on the diagonal.
*/
- Row_Iterator m_ite = matrix.row_begin();
- Row_Iterator m_end = matrix.row_end();
+ row_iterator m_ite = matrix.row_begin();
+ row_iterator m_end = matrix.row_end();
for (dimension_type i = 0; m_ite != m_end; i += 2) {
- Row_Reference upper = *m_ite;
+ row_reference upper = *m_ite;
N& ul = upper[i];
add_octagonal_constraint(i, i + 1, ul);
assign_r(ul, PLUS_INFINITY, ROUND_NOT_NEEDED);
++m_ite;
- Row_Reference lower = *m_ite;
+ row_reference lower = *m_ite;
N& lr = lower[i + 1];
add_octagonal_constraint(i + 1, i, lr);
assign_r(lr, PLUS_INFINITY, ROUND_NOT_NEEDED);
@@ -70623,27 +70697,27 @@ Octagonal_Shape<T>::is_disjoint_from(const Octagonal_Shape& y) const {
const dimension_type n_rows = matrix.num_rows();
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
- const Row_Iterator y_begin = y.matrix.row_begin();
+ const row_iterator y_begin = y.matrix.row_begin();
PPL_DIRTY_TEMP(N, neg_y_ci_cj);
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
using namespace Implementation::Octagonal_Shapes;
const dimension_type i = i_iter.index();
const dimension_type ci = coherent_index(i);
const dimension_type rs_i = i_iter.row_size();
- Row_Reference m_i = *i_iter;
+ row_reference m_i = *i_iter;
for (dimension_type j = 0; j < n_rows; ++j) {
const dimension_type cj = coherent_index(j);
- Row_Reference m_cj = *(m_begin + cj);
+ row_reference m_cj = *(m_begin + cj);
const N& m_i_j = (j < rs_i) ? m_i[j] : m_cj[ci];
- Row_Reference y_ci = *(y_begin + ci);
- Row_Reference y_j = *(y_begin + j);
+ row_reference y_ci = *(y_begin + ci);
+ row_reference y_j = *(y_begin + j);
const N& y_ci_cj = (j < rs_i) ? y_ci[cj] : y_j[i];
neg_assign_r(neg_y_ci_cj, y_ci_cj, ROUND_UP);
if (m_i_j < neg_y_ci_cj)
@@ -70791,16 +70865,16 @@ Octagonal_Shape<T>::frequency(const Linear_Expression& expr,
// than `v' and are already in `le', then this is set to true.
bool constant_v = false;
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
PPL_DIRTY_TEMP_COEFFICIENT(val_denom);
val_denom = 1;
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
constant_v = false;
dimension_type i = i_iter.index();
const Variable v(i/2);
@@ -70810,8 +70884,8 @@ Octagonal_Shape<T>::frequency(const Linear_Expression& expr,
continue;
}
// We check the unary constraints.
- Row_Reference m_i = *i_iter;
- Row_Reference m_ii = *(i_iter + 1);
+ row_reference m_i = *i_iter;
+ row_reference m_ii = *(i_iter + 1);
const N& m_i_ii = m_i[i + 1];
const N& m_ii_i = m_ii[i];
if ((!is_plus_infinity(m_i_ii) && !is_plus_infinity(m_ii_i))
@@ -70832,7 +70906,7 @@ Octagonal_Shape<T>::frequency(const Linear_Expression& expr,
PPL_ASSERT(!constant_v);
using namespace Implementation::Octagonal_Shapes;
const dimension_type ci = coherent_index(i);
- for (Row_Iterator j_iter = i_iter; j_iter != m_end; j_iter += 2) {
+ for (row_iterator j_iter = i_iter; j_iter != m_end; j_iter += 2) {
dimension_type j = j_iter.index();
const Variable vj(j/2);
coeff_j = le.coefficient(vj);
@@ -70842,8 +70916,8 @@ Octagonal_Shape<T>::frequency(const Linear_Expression& expr,
const dimension_type cj = coherent_index(j);
const dimension_type cjj = coherent_index(j + 1);
- Row_Reference m_j = *(m_begin + j);
- Row_Reference m_cj = *(m_begin + cj);
+ row_reference m_j = *(m_begin + j);
+ row_reference m_cj = *(m_begin + cj);
const N& m_j_i = m_j[i];
const N& m_i_j = m_cj[ci];
if ((!is_plus_infinity(m_i_j) && !is_plus_infinity(m_j_i))
@@ -71226,7 +71300,7 @@ Octagonal_Shape<T>::relation_with(const Congruence& cg) const {
// Find the lower bound for a hyperplane with direction
// defined by the congruence.
- Linear_Expression le = Linear_Expression(cg);
+ Linear_Expression le(cg.expression());
PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
bool min_included;
@@ -71567,21 +71641,21 @@ Octagonal_Shape<T>::relation_with(const Generator& g) const {
// studying the sign of the scalar product between the generator and
// all the constraints in the octagon.
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
PPL_DIRTY_TEMP_COEFFICIENT(numer);
PPL_DIRTY_TEMP_COEFFICIENT(denom);
PPL_DIRTY_TEMP_COEFFICIENT(product);
// We find in `*this' all the constraints.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; i_iter += 2) {
dimension_type i = i_iter.index();
- Row_Reference m_i = *i_iter;
- Row_Reference m_ii = *(i_iter + 1);
+ row_reference m_i = *i_iter;
+ row_reference m_ii = *(i_iter + 1);
const N& m_i_ii = m_i[i + 1];
const N& m_ii_i = m_ii[i];
// We have the unary constraints.
@@ -71657,10 +71731,10 @@ Octagonal_Shape<T>::relation_with(const Generator& g) const {
}
// We have the binary constraints.
- for (Row_Iterator i_iter = m_begin ; i_iter != m_end; i_iter += 2) {
+ for (row_iterator i_iter = m_begin ; i_iter != m_end; i_iter += 2) {
dimension_type i = i_iter.index();
- Row_Reference m_i = *i_iter;
- Row_Reference m_ii = *(i_iter + 1);
+ row_reference m_i = *i_iter;
+ row_reference m_ii = *(i_iter + 1);
for (dimension_type j = 0; j < i; j += 2) {
const N& m_i_j = m_i[j];
const N& m_ii_jj = m_ii[j + 1];
@@ -71822,15 +71896,15 @@ Octagonal_Shape<T>::strong_closure_assign() const {
// is going to be modified by the closure algorithm.
Octagonal_Shape& x = const_cast<Octagonal_Shape<T>&>(*this);
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
const dimension_type n_rows = x.matrix.num_rows();
- const Row_Iterator m_begin = x.matrix.row_begin();
- const Row_Iterator m_end = x.matrix.row_end();
+ const row_iterator m_begin = x.matrix.row_begin();
+ const row_iterator m_end = x.matrix.row_end();
// Fill the main diagonal with zeros.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
+ for (row_iterator i = m_begin; i != m_end; ++i) {
PPL_ASSERT(is_plus_infinity((*i)[i.index()]));
assign_r((*i)[i.index()], 0, ROUND_NOT_NEEDED);
}
@@ -71851,17 +71925,17 @@ Octagonal_Shape<T>::strong_closure_assign() const {
std::vector<N> vec_ck(n_rows);
PPL_DIRTY_TEMP(N, sum1);
PPL_DIRTY_TEMP(N, sum2);
- Row_Reference x_k;
- Row_Reference x_ck;
- Row_Reference x_i;
- Row_Reference x_ci;
+ row_reference x_k;
+ row_reference x_ck;
+ row_reference x_i;
+ row_reference x_ci;
// Since the index `j' of the inner loop will go from 0 up to `i',
// the three nested loops have to be executed twice.
for (int twice = 0; twice < 2; ++twice) {
- Row_Iterator x_k_iter = m_begin;
- Row_Iterator x_i_iter = m_begin;
+ row_iterator x_k_iter = m_begin;
+ row_iterator x_i_iter = m_begin;
for (dimension_type k = 0; k < n_rows; k += 2) {
const dimension_type ck = k + 1;
// Re-initialize the element iterator.
@@ -71936,7 +72010,7 @@ Octagonal_Shape<T>::strong_closure_assign() const {
// Check for emptiness: the octagon is empty if and only if there is a
// negative value in the main diagonal.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
+ for (row_iterator i = m_begin; i != m_end; ++i) {
N& x_i_i = (*i)[i.index()];
if (sgn(x_i_i) < 0) {
x.set_empty();
@@ -72051,14 +72125,14 @@ Octagonal_Shape<T>
Octagonal_Shape& x = const_cast<Octagonal_Shape<T>&>(*this);
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
- const Row_Iterator m_begin = x.matrix.row_begin();
- const Row_Iterator m_end = x.matrix.row_end();
+ const row_iterator m_begin = x.matrix.row_begin();
+ const row_iterator m_end = x.matrix.row_end();
// Fill the main diagonal with zeros.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
+ for (row_iterator i = m_begin; i != m_end; ++i) {
PPL_ASSERT(is_plus_infinity((*i)[i.index()]));
assign_r((*i)[i.index()], 0, ROUND_NOT_NEEDED);
}
@@ -72067,27 +72141,27 @@ Octagonal_Shape<T>
// Step 1: Improve all constraints on variable `var'.
const dimension_type v = 2*var.id();
const dimension_type cv = v + 1;
- Row_Iterator v_iter = m_begin + v;
- Row_Iterator cv_iter = v_iter + 1;
- Row_Reference x_v = *v_iter;
- Row_Reference x_cv = *cv_iter;
+ row_iterator v_iter = m_begin + v;
+ row_iterator cv_iter = v_iter + 1;
+ row_reference x_v = *v_iter;
+ row_reference x_cv = *cv_iter;
const dimension_type rs_v = v_iter.row_size();
const dimension_type n_rows = x.matrix.num_rows();
PPL_DIRTY_TEMP(N, sum);
using namespace Implementation::Octagonal_Shapes;
- for (Row_Iterator k_iter = m_begin; k_iter != m_end; ++k_iter) {
+ for (row_iterator k_iter = m_begin; k_iter != m_end; ++k_iter) {
const dimension_type k = k_iter.index();
const dimension_type ck = coherent_index(k);
const dimension_type rs_k = k_iter.row_size();
- Row_Reference x_k = *k_iter;
- Row_Reference x_ck = (k % 2 != 0) ? *(k_iter-1) : *(k_iter + 1);
+ row_reference x_k = *k_iter;
+ row_reference x_ck = (k % 2 != 0) ? *(k_iter-1) : *(k_iter + 1);
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
const dimension_type i = i_iter.index();
const dimension_type ci = coherent_index(i);
const dimension_type rs_i = i_iter.row_size();
- Row_Reference x_i = *i_iter;
- Row_Reference x_ci = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
+ row_reference x_i = *i_iter;
+ row_reference x_ci = (i % 2 != 0) ? *(i_iter-1) : *(i_iter + 1);
const N& x_i_k = (k < rs_i) ? x_i[k] : x_ck[ci];
if (!is_plus_infinity(x_i_k)) {
@@ -72125,18 +72199,18 @@ Octagonal_Shape<T>
// Step 2: improve the other bounds by using the precise bounds
// for the constraints on `var'.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ++i_iter) {
const dimension_type i = i_iter.index();
const dimension_type ci = coherent_index(i);
const dimension_type rs_i = i_iter.row_size();
- Row_Reference x_i = *i_iter;
+ row_reference x_i = *i_iter;
const N& x_i_v = (v < rs_i) ? x_i[v] : x_cv[ci];
// TODO: see if it is possible to optimize this inner loop
// by splitting it into several parts, so as to avoid
// conditional expressions.
for (dimension_type j = 0; j < n_rows; ++j) {
const dimension_type cj = coherent_index(j);
- Row_Reference x_cj = *(m_begin + cj);
+ row_reference x_cj = *(m_begin + cj);
N& x_i_j = (j < rs_i) ? x_i[j] : x_cj[ci];
if (!is_plus_infinity(x_i_v)) {
const N& x_v_j = (j < rs_v) ? x_v[j] : x_cj[cv];
@@ -72158,7 +72232,7 @@ Octagonal_Shape<T>
// Check for emptiness: the octagon is empty if and only if there is a
// negative value on the main diagonal.
- for (Row_Iterator i = m_begin; i != m_end; ++i) {
+ for (row_iterator i = m_begin; i != m_end; ++i) {
N& x_i_i = (*i)[i.index()];
if (sgn(x_i_i) < 0) {
x.set_empty();
@@ -72515,7 +72589,7 @@ Octagonal_Shape<T>::difference_assign(const Octagonal_Shape& y) {
if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
continue;
Octagonal_Shape z = x;
- const Linear_Expression e = Linear_Expression(c);
+ const Linear_Expression e(c.expression());
z.add_constraint(e <= 0);
if (!z.is_empty())
new_oct.upper_bound_assign(z);
@@ -72927,12 +73001,12 @@ Octagonal_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
// We create a new matrix with the new space dimension.
OR_Matrix<N> x(new_space_dim);
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
- Row_Iterator m_begin = x.row_begin();
+ row_iterator m_begin = x.row_begin();
- for (Row_Iterator i_iter = matrix.row_begin(), i_end = matrix.row_end();
+ for (row_iterator i_iter = matrix.row_begin(), i_end = matrix.row_end();
i_iter != i_end; i_iter += 2) {
dimension_type new_i;
dimension_type i = i_iter.index()/2;
@@ -72940,12 +73014,12 @@ Octagonal_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
// the `matrix' that refer to both mapped variables,
// the variable `i' and `j'.
if (pfunc.maps(i, new_i)) {
- Row_Reference r_i = *i_iter;
- Row_Reference r_ii = *(i_iter + 1);
+ row_reference r_i = *i_iter;
+ row_reference r_ii = *(i_iter + 1);
dimension_type double_new_i = 2*new_i;
- Row_Iterator x_iter = m_begin + double_new_i;
- Row_Reference x_i = *x_iter;
- Row_Reference x_ii = *(x_iter + 1);
+ row_iterator x_iter = m_begin + double_new_i;
+ row_reference x_i = *x_iter;
+ row_reference x_ii = *(x_iter + 1);
for (dimension_type j = 0; j <= i; ++j) {
dimension_type new_j;
// If also the second variable is mapped, we work.
@@ -72963,9 +73037,9 @@ Octagonal_Shape<T>::map_space_dimensions(const Partial_Function& pfunc) {
assign_or_swap(x_i[double_new_j + 1], r_i[dj + 1]);
}
else {
- Row_Iterator x_j_iter = m_begin + double_new_j;
- Row_Reference x_j = *x_j_iter;
- Row_Reference x_jj = *(x_j_iter + 1);
+ row_iterator x_j_iter = m_begin + double_new_j;
+ row_reference x_j = *x_j_iter;
+ row_reference x_jj = *(x_j_iter + 1);
assign_or_swap(x_jj[double_new_i + 1], r_i[dj]);
assign_or_swap(x_jj[double_new_i], r_ii[dj]);
assign_or_swap(x_j[double_new_i + 1], r_i[dj + 1]);
@@ -73124,15 +73198,15 @@ Octagonal_Shape<T>
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
Row_iterator m_begin = matrix.row_begin();
// Select the cell to be modified for the "<=" part of the constraint.
Row_iterator i_iter = m_begin + i;
Row_reference m_i = *i_iter;
OR_Matrix<N>& lo_mat = limiting_octagon.matrix;
- Row_Iterator lo_iter = lo_mat.row_begin() + i;
- Row_Reference lo_m_i = *lo_iter;
+ row_iterator lo_iter = lo_mat.row_begin() + i;
+ row_reference lo_m_i = *lo_iter;
N& lo_m_i_j = lo_m_i[j];
if (coeff < 0)
neg_assign(coeff);
@@ -73155,7 +73229,7 @@ Octagonal_Shape<T>
--lo_iter;
}
Row_reference m_ci = *i_iter;
- Row_Reference lo_m_ci = *lo_iter;
+ row_reference lo_m_ci = *lo_iter;
// Select the right column of the cell.
using namespace Implementation::Octagonal_Shapes;
dimension_type cj = coherent_index(j);
@@ -73721,12 +73795,12 @@ Octagonal_Shape<T>::refine(const Variable var,
// - If t == 0, then expr == b, with `b' a constant;
// - If t == 1, then expr == a*j + b, where `j != v';
// - If t == 2, then `expr' is of the general form.
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
+ const row_iterator m_begin = matrix.row_begin();
const dimension_type n_var = 2*var_id;
PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
neg_assign(minus_denom, denominator);
@@ -74079,14 +74153,14 @@ Octagonal_Shape<T>::refine(const Variable var,
PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
// Note: indices above `w_id' can be disregarded, as they all have
// a zero coefficient in `expr'.
- for (Row_Iterator m_iter = m_begin,
+ for (row_iterator m_iter = m_begin,
m_iter_end = m_begin + (2 * w_id + 2);
m_iter != m_iter_end; ) {
const dimension_type n_i = m_iter.index();
const dimension_type id = n_i/2;
- Row_Reference m_i = *m_iter;
+ row_reference m_i = *m_iter;
++m_iter;
- Row_Reference m_ci = *m_iter;
+ row_reference m_ci = *m_iter;
++m_iter;
const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
const int sign_i = sgn(sc_i);
@@ -74164,14 +74238,14 @@ Octagonal_Shape<T>::refine(const Variable var,
PPL_DIRTY_TEMP(N, coeff_i);
PPL_DIRTY_TEMP(N, approx_i);
PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
- for (Row_Iterator m_iter = m_begin,
+ for (row_iterator m_iter = m_begin,
m_iter_end = m_begin + (2 * w_id + 2);
m_iter != m_iter_end; ) {
const dimension_type n_i = m_iter.index();
const dimension_type id = n_i/2;
- Row_Reference m_i = *m_iter;
+ row_reference m_i = *m_iter;
++m_iter;
- Row_Reference m_ci = *m_iter;
+ row_reference m_ci = *m_iter;
++m_iter;
const Coefficient& sc_i = sc_expr.coefficient(Variable(id));
const int sign_i = sgn(sc_i);
@@ -74289,8 +74363,8 @@ Octagonal_Shape<T>::affine_image(const Variable var,
--w_id;
}
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
using std::swap;
@@ -74341,12 +74415,12 @@ Octagonal_Shape<T>::affine_image(const Variable var,
div_round_up(minus_d, b, minus_denom);
if (sign_symmetry)
swap(d, minus_d);
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
++m_iter;
- Row_Reference m_cv = *m_iter;
+ row_reference m_cv = *m_iter;
++m_iter;
// NOTE: delay update of unary constraints on `var'.
for (dimension_type j = n_var; j-- > 0; ) {
@@ -74358,7 +74432,7 @@ Octagonal_Shape<T>::affine_image(const Variable var,
swap(m_v_j, m_cv_j);
}
for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
+ row_reference m_i = *m_iter;
N& m_i_v = m_i[n_var];
add_assign_r(m_i_v, m_i_v, d, ROUND_UP);
N& m_i_cv = m_i[n_var + 1];
@@ -74460,7 +74534,7 @@ Octagonal_Shape<T>::affine_image(const Variable var,
PPL_DIRTY_TEMP_COEFFICIENT(minus_sc_i);
// Note: indices above `w' can be disregarded, as they all have
// a zero coefficient in `sc_expr'.
- const Row_Iterator m_begin = matrix.row_begin();
+ const row_iterator m_begin = matrix.row_begin();
for (Row_iterator m_iter = m_begin, m_iter_end = m_begin + (2 * w_id + 2);
m_iter != m_iter_end; ) {
const dimension_type n_i = m_iter.index();
@@ -74677,8 +74751,8 @@ Octagonal_Shape<T>::affine_form_image(const Variable var,
w_id = i;
}
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
typedef Interval<T, Interval_Info> FP_Interval_Type;
@@ -74732,12 +74806,12 @@ Octagonal_Shape<T>::affine_form_image(const Variable var,
// `b_ub' or subtracting the value `b_lb'.
if (is_w_coeff_minus_one)
swap(b_ub, b_mlb);
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
++m_iter;
- Row_Reference m_cv = *m_iter;
+ row_reference m_cv = *m_iter;
++m_iter;
// NOTE: delay update of unary constraints on `var'.
for (dimension_type j = n_var; j-- > 0; ) {
@@ -74749,7 +74823,7 @@ Octagonal_Shape<T>::affine_form_image(const Variable var,
swap(m_v_j, m_cv_j);
}
for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
+ row_reference m_i = *m_iter;
N& m_i_v = m_i[n_var];
add_assign_r(m_i_v, m_i_v, b_ub, ROUND_UP);
N& m_i_cv = m_i[n_var + 1];
@@ -74817,13 +74891,13 @@ Octagonal_Shape<T>::affine_form_image(const Variable var,
// Declare temporaries outside the loop.
PPL_DIRTY_TEMP(N, upper_bound);
- Row_Iterator m_iter = matrix.row_begin();
+ row_iterator m_iter = matrix.row_begin();
m_iter += n_var;
- Row_Reference var_ite = *m_iter;
+ row_reference var_ite = *m_iter;
++m_iter;
- Row_Reference var_cv_ite = *m_iter;
+ row_reference var_cv_ite = *m_iter;
++m_iter;
- Row_Iterator m_end = matrix.row_end();
+ row_iterator m_end = matrix.row_end();
// Update binary constraints on var FIRST.
for (dimension_type curr_var = var_id,
@@ -74840,9 +74914,9 @@ Octagonal_Shape<T>::affine_form_image(const Variable var,
n_curr_var -= 2;
}
for (dimension_type curr_var = var_id + 1; m_iter != m_end; ++m_iter) {
- Row_Reference m_v_ite = *m_iter;
+ row_reference m_v_ite = *m_iter;
++m_iter;
- Row_Reference m_cv_ite = *m_iter;
+ row_reference m_cv_ite = *m_iter;
Variable current(curr_var);
linear_form_upper_bound(lf + current, upper_bound);
assign_r(m_cv_ite[n_var], upper_bound, ROUND_NOT_NEEDED);
@@ -75148,13 +75222,13 @@ Octagonal_Shape<T>
--w_id;
}
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
const dimension_type n_var = 2*var_id;
const Coefficient& b = expr.inhomogeneous_term();
PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
@@ -75214,16 +75288,16 @@ Octagonal_Shape<T>
// Translate all the constraints of the form `v - w <= cost'
// into the constraint `v - w <= cost + b/denominator';
// forget each constraint `w - v <= cost1'.
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
N& m_v_cv = m_v[n_var + 1];
++m_iter;
- Row_Reference m_cv = *m_iter;
+ row_reference m_cv = *m_iter;
N& m_cv_v = m_cv[n_var];
++m_iter;
// NOTE: delay update of m_v_cv and m_cv_v.
for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
+ row_reference m_i = *m_iter;
N& m_i_v = m_i[n_var];
add_assign_r(m_i_v, m_i_v, d, ROUND_UP);
assign_r(m_i[n_var + 1], PLUS_INFINITY, ROUND_NOT_NEEDED);
@@ -75282,16 +75356,16 @@ Octagonal_Shape<T>
// Translate each constraint `w - v <= cost'
// into the constraint `w - v <= cost - b/denominator';
// forget each constraint `v - w <= cost1'.
- Row_Iterator m_iter = m_begin + n_var;
- Row_Reference m_v = *m_iter;
+ row_iterator m_iter = m_begin + n_var;
+ row_reference m_v = *m_iter;
N& m_v_cv = m_v[n_var + 1];
++m_iter;
- Row_Reference m_cv = *m_iter;
+ row_reference m_cv = *m_iter;
N& m_cv_v = m_cv[n_var];
++m_iter;
// NOTE: delay update of m_v_cv and m_cv_v.
for ( ; m_iter != m_end; ++m_iter) {
- Row_Reference m_i = *m_iter;
+ row_reference m_i = *m_iter;
assign_r(m_i[n_var], PLUS_INFINITY, ROUND_NOT_NEEDED);
add_assign_r(m_i[n_var + 1], m_i[n_var + 1], d, ROUND_UP);
}
@@ -75817,12 +75891,12 @@ Octagonal_Shape<T>::bounded_affine_image(const Variable var,
--w_id;
}
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
+ const row_iterator m_begin = matrix.row_begin();
const dimension_type n_var = 2*var_id;
const Coefficient& b = lb_expr.inhomogeneous_term();
PPL_DIRTY_TEMP_COEFFICIENT(minus_denom);
@@ -76387,17 +76461,17 @@ Octagonal_Shape<T>::constraints() const {
return cs;
}
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
- Row_Iterator m_begin = matrix.row_begin();
- Row_Iterator m_end = matrix.row_end();
+ row_iterator m_begin = matrix.row_begin();
+ row_iterator m_end = matrix.row_end();
PPL_DIRTY_TEMP_COEFFICIENT(a);
PPL_DIRTY_TEMP_COEFFICIENT(b);
// Go through all the unary constraints in `matrix'.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
const dimension_type i = i_iter.index();
const Variable x(i/2);
const N& c_i_ii = (*i_iter)[i + 1];
@@ -76426,11 +76500,11 @@ Octagonal_Shape<T>::constraints() const {
}
}
// Go through all the binary constraints in `matrix'.
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
const dimension_type i = i_iter.index();
- Row_Reference r_i = *i_iter;
+ row_reference r_i = *i_iter;
++i_iter;
- Row_Reference r_ii = *i_iter;
+ row_reference r_ii = *i_iter;
++i_iter;
const Variable y(i/2);
for (dimension_type j = 0; j < i; j += 2) {
@@ -76505,22 +76579,22 @@ Octagonal_Shape<T>::expand_space_dimension(Variable var, dimension_type m) {
// For each constraints involving variable `var', we add a
// similar constraint with the new variable substituted for
// variable `var'.
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
typedef typename OR_Matrix<N>::const_row_iterator Row_iterator;
typedef typename OR_Matrix<N>::const_row_reference_type Row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
- const Row_Iterator m_end = matrix.row_end();
+ const row_iterator m_begin = matrix.row_begin();
+ const row_iterator m_end = matrix.row_end();
const dimension_type n_var = 2*var_id;
Row_iterator v_iter = m_begin + n_var;
Row_reference m_v = *v_iter;
Row_reference m_cv = *(v_iter + 1);
- for (Row_Iterator i_iter = m_begin + old_num_rows; i_iter != m_end;
+ for (row_iterator i_iter = m_begin + old_num_rows; i_iter != m_end;
i_iter += 2) {
- Row_Reference m_i = *i_iter;
- Row_Reference m_ci = *(i_iter + 1);
+ row_reference m_i = *i_iter;
+ row_reference m_ci = *(i_iter + 1);
const dimension_type i = i_iter.index();
const dimension_type ci = i + 1;
m_i[ci] = m_v[n_var + 1];
@@ -76530,8 +76604,8 @@ Octagonal_Shape<T>::expand_space_dimension(Variable var, dimension_type m) {
m_ci[j] = m_cv[j];
}
for (dimension_type j = n_var + 2; j < old_num_rows; ++j) {
- Row_Iterator j_iter = m_begin + j;
- Row_Reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
+ row_iterator j_iter = m_begin + j;
+ row_reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
m_i[j] = m_cj[n_var + 1];
m_ci[j] = m_cj[n_var];
}
@@ -76569,24 +76643,24 @@ Octagonal_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
// to variable `dest' by taking the join of their value with the
// value of the corresponding elements in the row and column of the
// variable `vars'.
- typedef typename OR_Matrix<N>::row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
- const Row_Iterator m_begin = matrix.row_begin();
+ const row_iterator m_begin = matrix.row_begin();
strong_closure_assign();
const dimension_type n_rows = matrix.num_rows();
const dimension_type n_dest = 2*dest.id();
- Row_Iterator v_iter = m_begin + n_dest;
- Row_Reference m_v = *v_iter;
- Row_Reference m_cv = *(v_iter + 1);
+ row_iterator v_iter = m_begin + n_dest;
+ row_reference m_v = *v_iter;
+ row_reference m_cv = *(v_iter + 1);
for (Variables_Set::const_iterator i = vars.begin(),
vs_end = vars.end(); i != vs_end; ++i) {
const dimension_type tbf_id = *i;
const dimension_type tbf_var = 2*tbf_id;
- Row_Iterator tbf_iter = m_begin + tbf_var;
- Row_Reference m_tbf = *tbf_iter;
- Row_Reference m_ctbf = *(tbf_iter + 1);
+ row_iterator tbf_iter = m_begin + tbf_var;
+ row_reference m_tbf = *tbf_iter;
+ row_reference m_ctbf = *(tbf_iter + 1);
max_assign(m_v[n_dest + 1], m_tbf[tbf_var + 1]);
max_assign(m_cv[n_dest], m_ctbf[tbf_var]);
@@ -76603,9 +76677,9 @@ Octagonal_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
}
for (dimension_type j = min_id + 2; j < max_id; ++j) {
const dimension_type cj = coherent_index(j);
- Row_Iterator j_iter = m_begin + j;
- Row_Reference m_j = *j_iter;
- Row_Reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
+ row_iterator j_iter = m_begin + j;
+ row_reference m_j = *j_iter;
+ row_reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
if (n_dest == min_id) {
max_assign(m_cj[n_dest + 1], m_tbf[j]);
max_assign(m_cj[n_dest], m_ctbf[j]);
@@ -76620,9 +76694,9 @@ Octagonal_Shape<T>::fold_space_dimensions(const Variables_Set& vars,
}
}
for (dimension_type j = max_id + 2; j < n_rows; ++j) {
- Row_Iterator j_iter = m_begin + j;
- Row_Reference m_j = *j_iter;
- Row_Reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
+ row_iterator j_iter = m_begin + j;
+ row_reference m_j = *j_iter;
+ row_reference m_cj = (j % 2 != 0) ? *(j_iter-1) : *(j_iter + 1);
max_assign(m_cj[n_dest + 1], m_cj[tbf_var + 1]);
max_assign(m_cj[n_dest], m_cj[tbf_var]);
max_assign(m_j[n_dest], m_j[tbf_var]);
@@ -76681,21 +76755,21 @@ Octagonal_Shape<T>::upper_bound_assign_if_exact(const Octagonal_Shape& y) {
PPL_DIRTY_TEMP(N, temp_zero);
assign_r(temp_zero, 0, ROUND_NOT_NEEDED);
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
const dimension_type n_rows = x.matrix.num_rows();
- const Row_Iterator x_m_begin = x.matrix.row_begin();
- const Row_Iterator y_m_begin = y.matrix.row_begin();
- const Row_Iterator ub_m_begin = ub.matrix.row_begin();
+ const row_iterator x_m_begin = x.matrix.row_begin();
+ const row_iterator y_m_begin = y.matrix.row_begin();
+ const row_iterator ub_m_begin = ub.matrix.row_begin();
for (dimension_type i = n_rows; i-- > 0; ) {
const Bit_Row& x_non_red_i = x_non_red[i];
using namespace Implementation::Octagonal_Shapes;
const dimension_type ci = coherent_index(i);
const dimension_type row_size_i = OR_Matrix<N>::row_size(i);
- Row_Reference x_i = *(x_m_begin + i);
- Row_Reference y_i = *(y_m_begin + i);
- Row_Reference ub_i = *(ub_m_begin + i);
+ row_reference x_i = *(x_m_begin + i);
+ row_reference y_i = *(y_m_begin + i);
+ row_reference ub_i = *(ub_m_begin + i);
const N& ub_i_ci = ub_i[ci];
for (dimension_type j = row_size_i; j-- > 0; ) {
// Check redundancy of x_i_j.
@@ -76707,15 +76781,15 @@ Octagonal_Shape<T>::upper_bound_assign_if_exact(const Octagonal_Shape& y) {
continue;
const dimension_type cj = coherent_index(j);
const dimension_type row_size_cj = OR_Matrix<N>::row_size(cj);
- Row_Reference ub_cj = *(ub_m_begin + cj);
+ row_reference ub_cj = *(ub_m_begin + cj);
const N& ub_cj_j = ub_cj[j];
for (dimension_type k = 0; k < n_rows; ++k) {
const Bit_Row& y_non_red_k = y_non_red[k];
const dimension_type ck = coherent_index(k);
const dimension_type row_size_k = OR_Matrix<N>::row_size(k);
- Row_Reference x_k = *(x_m_begin + k);
- Row_Reference y_k = *(y_m_begin + k);
- Row_Reference ub_k = *(ub_m_begin + k);
+ row_reference x_k = *(x_m_begin + k);
+ row_reference y_k = *(y_m_begin + k);
+ row_reference ub_k = *(ub_m_begin + k);
const N& ub_k_ck = ub_k[ck];
// Be careful: for each index h, the diagonal element m[h][h]
// is (by convention) +infty in our implementation; however,
@@ -76738,7 +76812,7 @@ Octagonal_Shape<T>::upper_bound_assign_if_exact(const Octagonal_Shape& y) {
if (y_k_ell >= x_k[ell])
continue;
const dimension_type cell = coherent_index(ell);
- Row_Reference ub_cell = *(ub_m_begin + cell);
+ row_reference ub_cell = *(ub_m_begin + cell);
const N& ub_i_ell
= (i == ell)
? temp_zero
@@ -76867,21 +76941,21 @@ Octagonal_Shape<T>
PPL_DIRTY_TEMP(N, temp_two);
assign_r(temp_two, 2, ROUND_NOT_NEEDED);
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
const dimension_type n_rows = tx.matrix.num_rows();
- const Row_Iterator tx_m_begin = tx.matrix.row_begin();
- const Row_Iterator ty_m_begin = ty.matrix.row_begin();
- const Row_Iterator ub_m_begin = ub.matrix.row_begin();
+ const row_iterator tx_m_begin = tx.matrix.row_begin();
+ const row_iterator ty_m_begin = ty.matrix.row_begin();
+ const row_iterator ub_m_begin = ub.matrix.row_begin();
for (dimension_type i = n_rows; i-- > 0; ) {
const Bit_Row& tx_non_red_i = tx_non_red[i];
using namespace Implementation::Octagonal_Shapes;
const dimension_type ci = coherent_index(i);
const dimension_type row_size_i = OR_Matrix<N>::row_size(i);
- Row_Reference tx_i = *(tx_m_begin + i);
- Row_Reference ty_i = *(ty_m_begin + i);
- Row_Reference ub_i = *(ub_m_begin + i);
+ row_reference tx_i = *(tx_m_begin + i);
+ row_reference ty_i = *(ty_m_begin + i);
+ row_reference ub_i = *(ub_m_begin + i);
const N& ub_i_ci = ub_i[ci];
for (dimension_type j = row_size_i; j-- > 0; ) {
// Check redundancy of tx_i_j.
@@ -76895,15 +76969,15 @@ Octagonal_Shape<T>
if (lhs_i_j > ty_i[j])
continue;
const dimension_type row_size_cj = OR_Matrix<N>::row_size(cj);
- Row_Reference ub_cj = *(ub_m_begin + cj);
+ row_reference ub_cj = *(ub_m_begin + cj);
const N& ub_cj_j = ub_cj[j];
for (dimension_type k = 0; k < n_rows; ++k) {
const Bit_Row& ty_non_red_k = ty_non_red[k];
const dimension_type ck = coherent_index(k);
const dimension_type row_size_k = OR_Matrix<N>::row_size(k);
- Row_Reference tx_k = *(tx_m_begin + k);
- Row_Reference ty_k = *(ty_m_begin + k);
- Row_Reference ub_k = *(ub_m_begin + k);
+ row_reference tx_k = *(tx_m_begin + k);
+ row_reference ty_k = *(ty_m_begin + k);
+ row_reference ub_k = *(ub_m_begin + k);
const N& ub_k_ck = ub_k[ck];
// Be careful: for each index h, the diagonal element m[h][h]
// is (by convention) +infty in our implementation; however,
@@ -76928,7 +77002,7 @@ Octagonal_Shape<T>
add_assign_r(lhs_k_ell, ty_k_ell, eps_k_ell, ROUND_NOT_NEEDED);
if (lhs_k_ell > tx_k[ell])
continue;
- Row_Reference ub_cell = *(ub_m_begin + cell);
+ row_reference ub_cell = *(ub_m_begin + cell);
const N& ub_i_ell
= (i == ell)
? temp_zero
@@ -77041,12 +77115,12 @@ Octagonal_Shape<T>
const Variables_Set::const_iterator v_begin = vars.begin();
const Variables_Set::const_iterator v_end = vars.end();
PPL_ASSERT(v_begin != v_end);
- typedef typename OR_Matrix<N>::row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::row_reference_type row_reference;
for (Variables_Set::const_iterator v_i = v_begin; v_i != v_end; ++v_i) {
const dimension_type i = 2 * (*v_i);
const dimension_type ci = i + 1;
- Row_Reference m_i = matrix[i];
- Row_Reference m_ci = matrix[ci];
+ row_reference m_i = matrix[i];
+ row_reference m_ci = matrix[ci];
// Unary constraints: should be even integers.
N& m_i_ci = m_i[ci];
@@ -77140,21 +77214,21 @@ IO_Operators::operator<<(std::ostream& s, const Octagonal_Shape<T>& oct) {
}
typedef typename Octagonal_Shape<T>::coefficient_type N;
- typedef typename OR_Matrix<N>::const_row_iterator Row_Iterator;
- typedef typename OR_Matrix<N>::const_row_reference_type Row_Reference;
+ typedef typename OR_Matrix<N>::const_row_iterator row_iterator;
+ typedef typename OR_Matrix<N>::const_row_reference_type row_reference;
// Records whether or not we still have to print the first constraint.
bool first = true;
- Row_Iterator m_begin = oct.matrix.row_begin();
- Row_Iterator m_end = oct.matrix.row_end();
+ row_iterator m_begin = oct.matrix.row_begin();
+ row_iterator m_end = oct.matrix.row_end();
// Temporaries.
PPL_DIRTY_TEMP(N, negation);
PPL_DIRTY_TEMP(N, half);
// Go through all the unary constraints.
// (Note: loop iterator is incremented in the loop body.)
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
const dimension_type i = i_iter.index();
const Variable v_i(i/2);
const N& c_i_ii = (*i_iter)[i + 1];
@@ -77214,12 +77288,12 @@ IO_Operators::operator<<(std::ostream& s, const Octagonal_Shape<T>& oct) {
// Go through all the binary constraints.
// (Note: loop iterator is incremented in the loop body.)
- for (Row_Iterator i_iter = m_begin; i_iter != m_end; ) {
+ for (row_iterator i_iter = m_begin; i_iter != m_end; ) {
const dimension_type i = i_iter.index();
const Variable v_i(i/2);
- Row_Reference r_i = *i_iter;
+ row_reference r_i = *i_iter;
++i_iter;
- Row_Reference r_ii = *i_iter;
+ row_reference r_ii = *i_iter;
++i_iter;
for (dimension_type j = 0; j < i; j += 2) {
@@ -77547,9 +77621,9 @@ Octagonal_Shape<T>::throw_invalid_argument(const char* method,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Octagonal_Shape.defs.hh line 2323. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Octagonal_Shape_defs.hh line 2323. */
-/* Automatically generated from PPL source file ../src/BD_Shape.inlines.hh line 38. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_inlines.hh line 38. */
#include <vector>
#include <iostream>
#include <algorithm>
@@ -77562,7 +77636,7 @@ BD_Shape<T>::max_space_dimension() {
// One dimension is reserved to have a value of type dimension_type
// that does not represent a legal dimension.
return std::min(DB_Matrix<N>::max_num_rows() - 1,
- DB_Matrix<N>::max_num_columns() - 1);
+ DB_Matrix<N>::max_num_columns() - 1);
}
template <typename T>
@@ -77628,7 +77702,7 @@ BD_Shape<T>::reset_shortest_path_reduced() {
template <typename T>
inline
BD_Shape<T>::BD_Shape(const dimension_type num_dimensions,
- const Degenerate_Element kind)
+ const Degenerate_Element kind)
: dbm(num_dimensions + 1), status(), redundancy_dbm() {
if (kind == EMPTY)
set_empty();
@@ -77674,7 +77748,7 @@ template <typename T>
inline void
BD_Shape<T>::add_constraints(const Constraint_System& cs) {
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
add_constraint(*i);
}
@@ -77688,7 +77762,7 @@ template <typename T>
inline void
BD_Shape<T>::add_congruences(const Congruence_System& cgs) {
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
+ cgs_end = cgs.end(); i != cgs_end; ++i)
add_congruence(*i);
}
@@ -77719,7 +77793,7 @@ BD_Shape<T>::refine_with_constraints(const Constraint_System& cs) {
"cs and *this are space-dimension incompatible");
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
refine_no_check(*i);
}
@@ -77744,7 +77818,7 @@ BD_Shape<T>::refine_with_congruences(const Congruence_System& cgs) {
"cgs and *this are space-dimension incompatible");
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
+ cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
refine_no_check(*i);
}
@@ -77888,32 +77962,32 @@ BD_Shape<T>::bounds_from_below(const Linear_Expression& expr) const {
template <typename T>
inline bool
BD_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d,
- bool& maximum) const {
+ Coefficient& sup_n, Coefficient& sup_d,
+ bool& maximum) const {
return max_min(expr, true, sup_n, sup_d, maximum);
}
template <typename T>
inline bool
BD_Shape<T>::maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const {
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const {
return max_min(expr, true, sup_n, sup_d, maximum, g);
}
template <typename T>
inline bool
BD_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d,
- bool& minimum) const {
+ Coefficient& inf_n, Coefficient& inf_d,
+ bool& minimum) const {
return max_min(expr, false, inf_n, inf_d, minimum);
}
template <typename T>
inline bool
BD_Shape<T>::minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const {
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const {
return max_min(expr, false, inf_n, inf_d, minimum, g);
}
@@ -77977,12 +78051,12 @@ operator!=(const BD_Shape<T>& x, const BD_Shape<T>& y) {
template <typename Temp, typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
const dimension_type x_space_dim = x.space_dimension();
// Dimension-compatibility check.
if (x_space_dim != y.space_dimension())
@@ -78018,9 +78092,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -78032,9 +78106,9 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename T>
inline bool
rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
return rectilinear_distance_assign<To, To, T>(r, x, y, dir);
}
@@ -78042,12 +78116,12 @@ rectilinear_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
const dimension_type x_space_dim = x.space_dimension();
// Dimension-compatibility check.
if (x_space_dim != y.space_dimension())
@@ -78083,9 +78157,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -78097,9 +78171,9 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename T>
inline bool
euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
return euclidean_distance_assign<To, To, T>(r, x, y, dir);
}
@@ -78107,12 +78181,12 @@ euclidean_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir,
- Temp& tmp0,
- Temp& tmp1,
- Temp& tmp2) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0,
+ Temp& tmp1,
+ Temp& tmp2) {
const dimension_type x_space_dim = x.space_dimension();
// Dimension-compatibility check.
if (x_space_dim != y.space_dimension())
@@ -78148,9 +78222,9 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename Temp, typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
typedef Checked_Number<Temp, Extended_Number_Policy> Checked_Temp;
PPL_DIRTY_TEMP(Checked_Temp, tmp0);
PPL_DIRTY_TEMP(Checked_Temp, tmp1);
@@ -78162,17 +78236,17 @@ l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
template <typename To, typename T>
inline bool
l_infinity_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const BD_Shape<T>& x,
- const BD_Shape<T>& y,
- const Rounding_Dir dir) {
+ const BD_Shape<T>& x,
+ const BD_Shape<T>& y,
+ const Rounding_Dir dir) {
return l_infinity_distance_assign<To, To, T>(r, x, y, dir);
}
template <typename T>
inline void
BD_Shape<T>::add_dbm_constraint(const dimension_type i,
- const dimension_type j,
- const N& k) {
+ const dimension_type j,
+ const N& k) {
// Private method: the caller has to ensure the following.
PPL_ASSERT(i <= space_dimension() && j <= space_dimension() && i != j);
N& dbm_ij = dbm[i][j];
@@ -78186,9 +78260,9 @@ BD_Shape<T>::add_dbm_constraint(const dimension_type i,
template <typename T>
inline void
BD_Shape<T>::add_dbm_constraint(const dimension_type i,
- const dimension_type j,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
+ const dimension_type j,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
// Private method: the caller has to ensure the following.
PPL_ASSERT(i <= space_dimension() && j <= space_dimension() && i != j);
PPL_ASSERT(denom != 0);
@@ -78254,7 +78328,7 @@ BD_Shape<T>
const dimension_type space_dim = space_dimension();
if (new_dimension > space_dim)
throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
- new_dimension);
+ new_dimension);
// The removal of no dimensions from any BDS is a no-op.
// Note that this case also captures the only legal removal of
@@ -78306,10 +78380,10 @@ BD_Shape<T>::CC76_extrapolation_assign(const BD_Shape& y, unsigned* tp) {
N( 2, ROUND_UP)
};
CC76_extrapolation_assign(y,
- stop_points,
- stop_points
- + sizeof(stop_points)/sizeof(stop_points[0]),
- tp);
+ stop_points,
+ stop_points
+ + sizeof(stop_points)/sizeof(stop_points[0]),
+ tp);
}
template <typename T>
@@ -78334,8 +78408,8 @@ BD_Shape<T>::widening_assign(const BD_Shape& y, unsigned* tp) {
template <typename T>
inline void
BD_Shape<T>::limited_H79_extrapolation_assign(const BD_Shape& y,
- const Constraint_System& cs,
- unsigned* tp) {
+ const Constraint_System& cs,
+ unsigned* tp) {
// Compute the limited H79 extrapolation on polyhedra.
// TODO: provide a direct implementation.
C_Polyhedron ph_x(constraints());
@@ -78362,8 +78436,8 @@ template <typename T>
template <typename Interval_Info>
inline void
BD_Shape<T>::generalized_refine_with_linear_form_inequality(
- const Linear_Form<Interval<T, Interval_Info> >& left,
- const Linear_Form<Interval<T, Interval_Info> >& right,
+ const Linear_Form<Interval<T, Interval_Info> >& left,
+ const Linear_Form<Interval<T, Interval_Info> >& right,
const Relation_Symbol relsym) {
switch (relsym) {
case EQUAL:
@@ -78422,12 +78496,12 @@ swap(BD_Shape<T>& x, BD_Shape<T>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/BD_Shape.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_templates.hh line 1. */
/* BD_Shape class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/BD_Shape.templates.hh line 40. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_templates.hh line 40. */
#include <vector>
#include <deque>
#include <iostream>
@@ -78476,17 +78550,21 @@ BD_Shape<T>::BD_Shape(const Generator_System& gs)
dbm_initialized = true;
const Coefficient& d = g.divisor();
// TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
+ // Generator::expr_type::const_iterator.
for (dimension_type i = space_dim; i > 0; --i) {
const Coefficient& g_i = g.expression().get(Variable(i - 1));
DB_Row<N>& dbm_i = dbm[i];
for (dimension_type j = space_dim; j > 0; --j)
- if (i != j)
- div_round_up(dbm_i[j], g.expression().get(Variable(j - 1)) - g_i, d);
+ if (i != j) {
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(dbm_i[j], g_j - g_i, d);
+ }
div_round_up(dbm_i[0], -g_i, d);
}
- for (dimension_type j = space_dim; j > 0; --j)
- div_round_up(dbm_0[j], g.expression().get(Variable(j - 1)), d);
+ for (dimension_type j = space_dim; j > 0; --j) {
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(dbm_0[j], g_j, d);
+ }
// Note: no need to initialize the first element of the main diagonal.
}
else {
@@ -78494,20 +78572,22 @@ BD_Shape<T>::BD_Shape(const Generator_System& gs)
// valid values and we must compute maxima.
const Coefficient& d = g.divisor();
// TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
+ // Generator::expr_type::const_iterator.
for (dimension_type i = space_dim; i > 0; --i) {
const Coefficient& g_i = g.expression().get(Variable(i - 1));
DB_Row<N>& dbm_i = dbm[i];
// The loop correctly handles the case when i == j.
for (dimension_type j = space_dim; j > 0; --j) {
- div_round_up(tmp, g.expression().get(Variable(j - 1)) - g_i, d);
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(tmp, g_j - g_i, d);
max_assign(dbm_i[j], tmp);
}
div_round_up(tmp, -g_i, d);
max_assign(dbm_i[0], tmp);
}
for (dimension_type j = space_dim; j > 0; --j) {
- div_round_up(tmp, g.expression().get(Variable(j - 1)), d);
+ const Coefficient& g_j = g.expression().get(Variable(j - 1));
+ div_round_up(tmp, g_j, d);
max_assign(dbm_0[j], tmp);
}
}
@@ -78531,7 +78611,7 @@ BD_Shape<T>::BD_Shape(const Generator_System& gs)
switch (g.type()) {
case Generator::LINE:
// TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
+ // Generator::expr_type::const_iterator.
for (dimension_type i = space_dim; i > 0; --i) {
const Coefficient& g_i = g.expression().get(Variable(i - 1));
DB_Row<N>& dbm_i = dbm[i];
@@ -78542,14 +78622,14 @@ BD_Shape<T>::BD_Shape(const Generator_System& gs)
if (g_i != 0)
assign_r(dbm_i[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
}
- for (Generator::Expression::const_iterator i = g.expression().begin(),
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
i_end = g.expression().end(); i != i_end; ++i)
assign_r(dbm_0[i.variable().space_dimension()],
PLUS_INFINITY, ROUND_NOT_NEEDED);
break;
case Generator::RAY:
// TODO: Check if the following loop can be optimized used
- // Generator::Expression::const_iterator.
+ // Generator::expr_type::const_iterator.
for (dimension_type i = space_dim; i > 0; --i) {
const Coefficient& g_i = g.expression().get(Variable(i - 1));
DB_Row<N>& dbm_i = dbm[i];
@@ -78560,7 +78640,7 @@ BD_Shape<T>::BD_Shape(const Generator_System& gs)
if (g_i < 0)
assign_r(dbm_i[0], PLUS_INFINITY, ROUND_NOT_NEEDED);
}
- for (Generator::Expression::const_iterator i = g.expression().begin(),
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
i_end = g.expression().end(); i != i_end; ++i)
if (*i > 0)
assign_r(dbm_0[i.variable().space_dimension()],
@@ -78634,8 +78714,10 @@ BD_Shape<T>::BD_Shape(const Polyhedron& ph, const Complexity_Class complexity)
for (Constraint_System::const_iterator i = ph_cs.begin(),
ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
const Constraint& c = *i;
- if (c.is_strict_inequality())
- lp.add_constraint(Linear_Expression(c) >= 0);
+ if (c.is_strict_inequality()) {
+ Linear_Expression expr(c.expression());
+ lp.add_constraint(expr >= 0);
+ }
else
lp.add_constraint(c);
}
@@ -79744,7 +79826,7 @@ BD_Shape<T>::relation_with(const Congruence& cg) const {
// Find the lower bound for a hyperplane with direction
// defined by the congruence.
- Linear_Expression le = Linear_Expression(cg);
+ Linear_Expression le = Linear_Expression(cg.expression());
PPL_DIRTY_TEMP_COEFFICIENT(min_numer);
PPL_DIRTY_TEMP_COEFFICIENT(min_denom);
bool min_included;
@@ -79849,7 +79931,7 @@ BD_Shape<T>::relation_with(const Constraint& c) const {
// Find the linear expression for the constraint and use that to
// find if the expression is bounded from above or below and if it
// is, find the maximum and minimum values.
- Linear_Expression le(c);
+ Linear_Expression le(c.expression());
le.set_inhomogeneous_term(Coefficient_zero());
PPL_DIRTY_TEMP(Coefficient, max_numer);
@@ -80772,7 +80854,7 @@ BD_Shape<T>::difference_assign(const BD_Shape& y) {
if (x.relation_with(c).implies(Poly_Con_Relation::is_included()))
continue;
BD_Shape z = x;
- const Linear_Expression e = Linear_Expression(c);
+ const Linear_Expression e(c.expression());
z.add_constraint(e <= 0);
if (!z.is_empty())
new_bd_shape.upper_bound_assign(z);
@@ -81394,7 +81476,7 @@ BD_Shape<T>::get_limiting_shape(const Constraint_System& cs,
ls_x = d;
changed = true;
}
- }
+ }
else {
// Compute the bound for `y', rounding towards plus infinity.
neg_assign(minus_c_term, c.inhomogeneous_term());
@@ -81402,10 +81484,10 @@ BD_Shape<T>::get_limiting_shape(const Constraint_System& cs,
if (y <= d1) {
N& ls_x = negative ? ls_dbm[i][j] : ls_dbm[j][i];
N& ls_y = negative ? ls_dbm[j][i] : ls_dbm[i][j];
- if ((ls_x >= d && ls_y > d1) || (ls_x > d && ls_y >= d1)) {
- ls_x = d;
- ls_y = d1;
- changed = true;
+ if ((ls_x >= d && ls_y > d1) || (ls_x > d && ls_y >= d1)) {
+ ls_x = d;
+ ls_y = d1;
+ changed = true;
}
}
}
@@ -82555,7 +82637,7 @@ BD_Shape<T>::affine_form_image(const Variable var,
// Check that T is a floating point type.
PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "BD_Shape<T>::affine_form_image(Variable, Linear_Form):"
+ "BD_Shape<T>::affine_form_image(Variable, Linear_Form):"
" T not a floating point type.");
// Dimension-compatibility checks.
@@ -82646,10 +82728,10 @@ template <typename T>
template <typename Interval_Info>
void BD_Shape<T>
::one_variable_affine_form_image(const dimension_type& var_id,
- const Interval<T, Interval_Info>& b,
- const Interval<T, Interval_Info>& w_coeff,
- const dimension_type& w_id,
- const dimension_type& space_dim) {
+ const Interval<T, Interval_Info>& b,
+ const Interval<T, Interval_Info>& w_coeff,
+ const dimension_type& w_id,
+ const dimension_type& space_dim) {
PPL_DIRTY_TEMP(N, b_ub);
assign_r(b_ub, b.upper(), ROUND_NOT_NEEDED);
@@ -82786,8 +82868,8 @@ void BD_Shape<T>::refine_with_linear_form_inequality(
const Linear_Form< Interval<T, Interval_Info> >& right) {
// Check that T is a floating point type.
PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
- "Octagonal_Shape<T>::refine_with_linear_form_inequality:"
- " T not a floating point type.");
+ "Octagonal_Shape<T>::refine_with_linear_form_inequality:"
+ " T not a floating point type.");
//We assume that the analyzer will not try to apply an unreachable filter.
PPL_ASSERT(!marked_empty());
@@ -82858,9 +82940,9 @@ void BD_Shape<T>::refine_with_linear_form_inequality(
else if (left_t == 1) {
if (left_w_coeff == 1 || left_w_coeff == -1) {
if (right_t == 0 || (right_w_coeff == 1 || right_w_coeff == -1)) {
- left_one_var_refine(left_w_id, right_t, right_w_id, left, right);
- PPL_ASSERT(OK());
- return;
+ left_one_var_refine(left_w_id, right_t, right_w_id, left, right);
+ PPL_ASSERT(OK());
+ return;
}
}
}
@@ -82914,9 +82996,9 @@ template <typename T>
template <typename Interval_Info>
void
BD_Shape<T>::left_inhomogeneous_refine(const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
+ const dimension_type& right_w_id,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
typedef Interval<T, Interval_Info> FP_Interval_Type;
@@ -82924,7 +83006,7 @@ BD_Shape<T>::left_inhomogeneous_refine(const dimension_type& right_t,
// The constraint has the form [a-, a+] <= [b-, b+] + [c-, c+] * x.
// Reduce it to the constraint +/-x <= b+ - a- if [c-, c+] = +/-[1, 1].
const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
+ right.coefficient(Variable(right_w_id));
if (right_w_coeff == 1) {
PPL_DIRTY_TEMP(N, b_plus_minus_a_minus);
const FP_Interval_Type& left_a = left.inhomogeneous_term();
@@ -82953,10 +83035,10 @@ template <typename Interval_Info>
void
BD_Shape<T>
::left_one_var_refine(const dimension_type& left_w_id,
- const dimension_type& right_t,
- const dimension_type& right_w_id,
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
+ const dimension_type& right_t,
+ const dimension_type& right_w_id,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
typedef Interval<T, Interval_Info> FP_Interval_Type;
@@ -82964,7 +83046,7 @@ BD_Shape<T>
// The constraint has the form [b-, b+] + [c-, c+] * x <= [a-, a+]
// Reduce it to the constraint +/-x <= a+ - b- if [c-, c+] = +/-[1, 1].
const FP_Interval_Type& left_w_coeff =
- left.coefficient(Variable(left_w_id));
+ left.coefficient(Variable(left_w_id));
if (left_w_coeff == 1) {
PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
@@ -82995,7 +83077,7 @@ BD_Shape<T>
left.coefficient(Variable(left_w_id));
const FP_Interval_Type& right_w_coeff =
- right.coefficient(Variable(right_w_id));
+ right.coefficient(Variable(right_w_id));
bool is_left_coeff_one = (left_w_coeff == 1);
bool is_left_coeff_minus_one = (left_w_coeff == -1);
@@ -83022,7 +83104,7 @@ BD_Shape<T>
}
if (is_left_coeff_minus_one && is_right_coeff_one) {
// We fall back to a previous case.
- PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
+ PPL_DIRTY_TEMP(N, a_plus_minus_b_minus);
const FP_Interval_Type& left_b = left.inhomogeneous_term();
const FP_Interval_Type& right_a = right.inhomogeneous_term();
sub_assign_r(a_plus_minus_b_minus, right_a.upper(), left_b.lower(),
@@ -83077,16 +83159,16 @@ BD_Shape<T>
add_assign_r(ub, ub, a_plus_minus_b_minus, ROUND_UP);
add_dbm_constraint(0, right_w_id + 1, ub);
}
- return;
+ return;
}
if (is_left_coeff_one && is_right_coeff_one) {
- PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
- const FP_Interval_Type& left_a = left.inhomogeneous_term();
+ PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
+ const FP_Interval_Type& left_a = left.inhomogeneous_term();
const FP_Interval_Type& right_c = right.inhomogeneous_term();
sub_assign_r(c_plus_minus_a_minus, right_c.upper(), left_a.lower(),
ROUND_UP);
add_dbm_constraint(right_w_id+1, left_w_id+1, c_plus_minus_a_minus);
- return;
+ return;
}
if (is_left_coeff_minus_one && is_right_coeff_minus_one) {
PPL_DIRTY_TEMP(N, c_plus_minus_a_minus);
@@ -83105,9 +83187,9 @@ template <typename Interval_Info>
void
BD_Shape<T>
::general_refine(const dimension_type& left_w_id,
- const dimension_type& right_w_id,
- const Linear_Form< Interval<T, Interval_Info> >& left,
- const Linear_Form< Interval<T, Interval_Info> >& right) {
+ const dimension_type& right_w_id,
+ const Linear_Form< Interval<T, Interval_Info> >& left,
+ const Linear_Form< Interval<T, Interval_Info> >& right) {
typedef Interval<T, Interval_Info> FP_Interval_Type;
Linear_Form<FP_Interval_Type> right_minus_left(right);
@@ -83124,13 +83206,13 @@ BD_Shape<T>
for (dimension_type second_v = first_v+1;
second_v <= max_w_id; ++second_v) {
const FP_Interval_Type& lfv_coefficient =
- left.coefficient(Variable(first_v));
+ left.coefficient(Variable(first_v));
const FP_Interval_Type& lsv_coefficient =
- left.coefficient(Variable(second_v));
+ left.coefficient(Variable(second_v));
const FP_Interval_Type& rfv_coefficient =
- right.coefficient(Variable(first_v));
+ right.coefficient(Variable(first_v));
const FP_Interval_Type& rsv_coefficient =
- right.coefficient(Variable(second_v));
+ right.coefficient(Variable(second_v));
// We update the constraints only when both variables appear in at
// least one argument.
bool do_update = false;
@@ -83217,7 +83299,7 @@ template <typename Interval_Info>
void
BD_Shape<T>::
linear_form_upper_bound(const Linear_Form< Interval<T, Interval_Info> >& lf,
- N& result) const {
+ N& result) const {
// Check that T is a floating point type.
PPL_COMPILE_TIME_CHECK(!std::numeric_limits<T>::is_exact,
@@ -83244,8 +83326,8 @@ linear_form_upper_bound(const Linear_Form< Interval<T, Interval_Info> >& lf,
for (dimension_type curr_var = 0, n_var = 0; curr_var < lf_space_dimension;
++curr_var) {
n_var = curr_var + 1;
- const FP_Interval_Type& curr_coefficient =
- lf.coefficient(Variable(curr_var));
+ const FP_Interval_Type&
+ curr_coefficient = lf.coefficient(Variable(curr_var));
assign_r(curr_lb, curr_coefficient.lower(), ROUND_NOT_NEEDED);
assign_r(curr_ub, curr_coefficient.upper(), ROUND_NOT_NEEDED);
if (curr_lb != 0 || curr_ub != 0) {
@@ -85149,7 +85231,7 @@ void
BD_Shape<T>::throw_dimension_incompatible(const char* method,
const char* lf_name,
const Linear_Form< Interval<T,
- Interval_Info> >& lf) const {
+ Interval_Info> >& lf) const {
std::ostringstream s;
s << "PPL::BD_Shape::" << method << ":" << std::endl
<< "this->space_dimension() == " << space_dimension()
@@ -85169,14 +85251,14 @@ BD_Shape<T>::throw_invalid_argument(const char* method, const char* reason) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/BD_Shape.defs.hh line 2366. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BD_Shape_defs.hh line 2370. */
-/* Automatically generated from PPL source file ../src/Rational_Interval.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rational_Interval.hh line 1. */
/* Rational_Interval class declaration and implementation.
*/
-/* Automatically generated from PPL source file ../src/Rational_Interval.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rational_Interval.hh line 28. */
#include <gmpxx.h>
namespace Parma_Polyhedra_Library {
@@ -85203,7 +85285,7 @@ typedef Interval<mpq_class, Rational_Interval_Info> Rational_Interval;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.templates.hh line 42. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_templates.hh line 42. */
#include <vector>
#include <map>
#include <iostream>
@@ -85307,36 +85389,36 @@ Box<ITV>::Box(const Generator_System& gs)
bool point_seen = false;
// Going through all the points.
for (Generator_System::const_iterator
- gs_i = gs_begin; gs_i != gs_end; ++gs_i) {
+ gs_i = gs_begin; gs_i != gs_end; ++gs_i) {
const Generator& g = *gs_i;
if (g.is_point()) {
const Coefficient& d = g.divisor();
if (point_seen) {
- // This is not the first point: `seq' already contains valid values.
- // TODO: If the variables in the expression that have coefficient 0
+ // This is not the first point: `seq' already contains valid values.
+ // TODO: If the variables in the expression that have coefficient 0
// have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i-- > 0; ) {
- assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
- q.canonicalize();
- PPL_DIRTY_TEMP(ITV, iq);
- iq.build(i_constraint(EQUAL, q));
- seq[i].join_assign(iq);
- }
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ PPL_DIRTY_TEMP(ITV, iq);
+ iq.build(i_constraint(EQUAL, q));
+ seq[i].join_assign(iq);
+ }
}
else {
- // This is the first point seen: initialize `seq'.
- point_seen = true;
+ // This is the first point seen: initialize `seq'.
+ point_seen = true;
// TODO: If the variables in the expression that have coefficient 0
// have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i-- > 0; ) {
- assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
- q.canonicalize();
- seq[i].build(i_constraint(EQUAL, q));
- }
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ seq[i].build(i_constraint(EQUAL, q));
+ }
}
}
}
@@ -85344,51 +85426,50 @@ Box<ITV>::Box(const Generator_System& gs)
if (!point_seen)
// The generator system is not empty, but contains no points.
throw std::invalid_argument("PPL::Box<ITV>::Box(gs):\n"
- "the non-empty generator system gs "
- "contains no points.");
+ "the non-empty generator system gs "
+ "contains no points.");
// Going through all the lines, rays and closure points.
- ITV q_interval;
for (Generator_System::const_iterator gs_i = gs_begin;
gs_i != gs_end; ++gs_i) {
const Generator& g = *gs_i;
switch (g.type()) {
case Generator::LINE:
- for (Generator::Expression::const_iterator i = g.expression().begin(),
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
i_end = g.expression().end();
i != i_end; ++i)
- seq[i.variable().id()].assign(UNIVERSE);
+ seq[i.variable().id()].assign(UNIVERSE);
break;
case Generator::RAY:
- for (Generator::Expression::const_iterator i = g.expression().begin(),
+ for (Generator::expr_type::const_iterator i = g.expression().begin(),
i_end = g.expression().end();
i != i_end; ++i)
- switch (sgn(*i)) {
- case 1:
- seq[i.variable().id()].upper_extend();
- break;
- case -1:
- seq[i.variable().id()].lower_extend();
- break;
- default:
+ switch (sgn(*i)) {
+ case 1:
+ seq[i.variable().id()].upper_extend();
+ break;
+ case -1:
+ seq[i.variable().id()].lower_extend();
+ break;
+ default:
PPL_UNREACHABLE;
- break;
- }
+ break;
+ }
break;
case Generator::CLOSURE_POINT:
{
- const Coefficient& d = g.divisor();
+ const Coefficient& d = g.divisor();
// TODO: If the variables in the expression that have coefficient 0
// have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
- for (dimension_type i = space_dim; i-- > 0; ) {
- assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
- assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
- q.canonicalize();
- ITV& seq_i = seq[i];
- seq_i.lower_extend(i_constraint(GREATER_THAN, q));
- seq_i.upper_extend(i_constraint(LESS_THAN, q));
- }
+ // Generator::expr_type::const_iterator.
+ for (dimension_type i = space_dim; i-- > 0; ) {
+ assign_r(q.get_num(), g.coefficient(Variable(i)), ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), d, ROUND_NOT_NEEDED);
+ q.canonicalize();
+ ITV& seq_i = seq[i];
+ seq_i.lower_extend(i_constraint(GREATER_THAN, q));
+ seq_i.upper_extend(i_constraint(LESS_THAN, q));
+ }
}
break;
default:
@@ -85544,7 +85625,7 @@ Box<ITV>::Box(const Polyhedron& ph, Complexity_Class complexity)
for (dimension_type i = space_dim; i-- > 0; )
seq[i].assign(UNIVERSE);
// Get a simplified version of the constraints.
- Constraint_System cs = ph.simplified_constraints();
+ const Constraint_System cs = ph.simplified_constraints();
// Propagate easy-to-find bounds from the constraints,
// allowing for a limited number of iterations.
// FIXME: 20 is just a wild guess.
@@ -85559,12 +85640,14 @@ Box<ITV>::Box(const Polyhedron& ph, Complexity_Class complexity)
else
// Adding to `lp' a topologically closed version of `ph_cs'.
for (Constraint_System::const_iterator i = ph_cs.begin(),
- ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
- const Constraint& c = *i;
- if (c.is_strict_inequality())
- lp.add_constraint(Linear_Expression(c) >= 0);
- else
- lp.add_constraint(c);
+ ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) {
+ const Constraint& c = *i;
+ if (c.is_strict_inequality()) {
+ const Linear_Expression expr(c.expression());
+ lp.add_constraint(expr >= 0);
+ }
+ else
+ lp.add_constraint(c);
}
// Check for unsatisfiability.
if (!lp.is_satisfiable()) {
@@ -85585,22 +85668,22 @@ Box<ITV>::Box(const Polyhedron& ph, Complexity_Class complexity)
// Evaluate upper bound.
lp.set_optimization_mode(MAXIMIZATION);
if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, bound_numer, bound_denom);
- assign_r(upper_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
- assign_r(upper_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
- PPL_ASSERT(is_canonical(upper_bound));
- upper.set(LESS_OR_EQUAL, upper_bound);
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, bound_numer, bound_denom);
+ assign_r(upper_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
+ assign_r(upper_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
+ PPL_ASSERT(is_canonical(upper_bound));
+ upper.set(LESS_OR_EQUAL, upper_bound);
}
// Evaluate optimal lower bound.
lp.set_optimization_mode(MINIMIZATION);
if (lp.solve() == OPTIMIZED_MIP_PROBLEM) {
- g = lp.optimizing_point();
- lp.evaluate_objective_function(g, bound_numer, bound_denom);
- assign_r(lower_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
- assign_r(lower_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
- PPL_ASSERT(is_canonical(lower_bound));
- lower.set(GREATER_OR_EQUAL, lower_bound);
+ g = lp.optimizing_point();
+ lp.evaluate_objective_function(g, bound_numer, bound_denom);
+ assign_r(lower_bound.get_num(), bound_numer, ROUND_NOT_NEEDED);
+ assign_r(lower_bound.get_den(), bound_denom, ROUND_NOT_NEEDED);
+ PPL_ASSERT(is_canonical(lower_bound));
+ lower.set(GREATER_OR_EQUAL, lower_bound);
}
seq_i.build(lower, upper);
}
@@ -85745,8 +85828,8 @@ Box<ITV>::bounds(const Linear_Expression& expr, const bool from_above) const {
const dimension_type space_dim = space_dimension();
if (space_dim < expr_space_dim)
throw_dimension_incompatible((from_above
- ? "bounds_from_above(e)"
- : "bounds_from_below(e)"), "e", expr);
+ ? "bounds_from_above(e)"
+ : "bounds_from_below(e)"), "e", expr);
// A zero-dimensional or empty Box bounds everything.
if (space_dim == 0 || is_empty())
return true;
@@ -85760,14 +85843,14 @@ Box<ITV>::bounds(const Linear_Expression& expr, const bool from_above) const {
switch (sgn(*i) * from_above_sign) {
case 1:
if (seq[v.id()].upper_is_boundary_infinity())
- return false;
+ return false;
break;
case 0:
PPL_UNREACHABLE;
break;
case -1:
if (seq[v.id()].lower_is_boundary_infinity())
- return false;
+ return false;
break;
}
}
@@ -85777,9 +85860,9 @@ Box<ITV>::bounds(const Linear_Expression& expr, const bool from_above) const {
template <typename ITV>
Poly_Con_Relation
interval_relation(const ITV& i,
- const Constraint::Type constraint_type,
- Coefficient_traits::const_reference numer,
- Coefficient_traits::const_reference denom) {
+ const Constraint::Type constraint_type,
+ Coefficient_traits::const_reference numer,
+ Coefficient_traits::const_reference denom) {
if (i.is_universe())
return Poly_Con_Relation::strictly_intersects();
@@ -85799,13 +85882,13 @@ interval_relation(const ITV& i,
sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
switch (sgn(bound_diff)) {
case 1:
- return Poly_Con_Relation::strictly_intersects();
+ return Poly_Con_Relation::strictly_intersects();
case 0:
- return i.upper_is_open()
- ? Poly_Con_Relation::is_disjoint()
- : Poly_Con_Relation::strictly_intersects();
+ return i.upper_is_open()
+ ? Poly_Con_Relation::is_disjoint()
+ : Poly_Con_Relation::strictly_intersects();
case -1:
- return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_disjoint();
}
}
else {
@@ -85813,32 +85896,32 @@ interval_relation(const ITV& i,
sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
switch (sgn(bound_diff)) {
case 1:
- return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_disjoint();
case 0:
- if (i.lower_is_open())
- return Poly_Con_Relation::is_disjoint();
+ if (i.lower_is_open())
+ return Poly_Con_Relation::is_disjoint();
if (i.is_singleton())
return Poly_Con_Relation::is_included()
&& Poly_Con_Relation::saturates();
return Poly_Con_Relation::strictly_intersects();
case -1:
- if (i.upper_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (i.upper_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
+ if (i.upper_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (i.upper_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
}
}
}
@@ -85851,15 +85934,15 @@ interval_relation(const ITV& i,
sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
switch (sgn(bound_diff)) {
case 1:
- return Poly_Con_Relation::strictly_intersects();
+ return Poly_Con_Relation::strictly_intersects();
case 0:
- if (constraint_type == Constraint::STRICT_INEQUALITY
- || i.upper_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
+ if (constraint_type == Constraint::STRICT_INEQUALITY
+ || i.upper_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
case -1:
- return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_disjoint();
}
}
else {
@@ -85867,43 +85950,43 @@ interval_relation(const ITV& i,
sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
switch (sgn(bound_diff)) {
case 1:
- return Poly_Con_Relation::is_included();
+ return Poly_Con_Relation::is_included();
case 0:
- if (constraint_type == Constraint::NONSTRICT_INEQUALITY
- || i.lower_is_open()) {
- Poly_Con_Relation result = Poly_Con_Relation::is_included();
- if (i.is_singleton())
- result = result && Poly_Con_Relation::saturates();
- return result;
- }
- else {
- PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
- && !i.lower_is_open());
- if (i.is_singleton())
- return Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates();
- else
- return Poly_Con_Relation::strictly_intersects();
- }
+ if (constraint_type == Constraint::NONSTRICT_INEQUALITY
+ || i.lower_is_open()) {
+ Poly_Con_Relation result = Poly_Con_Relation::is_included();
+ if (i.is_singleton())
+ result = result && Poly_Con_Relation::saturates();
+ return result;
+ }
+ else {
+ PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
+ && !i.lower_is_open());
+ if (i.is_singleton())
+ return Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ }
case -1:
- if (i.upper_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case 1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (constraint_type == Constraint::STRICT_INEQUALITY
- || i.upper_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case -1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
+ if (i.upper_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.upper(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case 1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (constraint_type == Constraint::STRICT_INEQUALITY
+ || i.upper_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case -1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
}
}
}
@@ -85916,43 +85999,43 @@ interval_relation(const ITV& i,
sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
switch (sgn(bound_diff)) {
case -1:
- return Poly_Con_Relation::is_included();
+ return Poly_Con_Relation::is_included();
case 0:
- if (constraint_type == Constraint::NONSTRICT_INEQUALITY
- || i.upper_is_open()) {
- Poly_Con_Relation result = Poly_Con_Relation::is_included();
- if (i.is_singleton())
- result = result && Poly_Con_Relation::saturates();
- return result;
- }
- else {
- PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
- && !i.upper_is_open());
- if (i.is_singleton())
- return Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates();
- else
- return Poly_Con_Relation::strictly_intersects();
- }
+ if (constraint_type == Constraint::NONSTRICT_INEQUALITY
+ || i.upper_is_open()) {
+ Poly_Con_Relation result = Poly_Con_Relation::is_included();
+ if (i.is_singleton())
+ result = result && Poly_Con_Relation::saturates();
+ return result;
+ }
+ else {
+ PPL_ASSERT(constraint_type == Constraint::STRICT_INEQUALITY
+ && !i.upper_is_open());
+ if (i.is_singleton())
+ return Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ }
case 1:
- if (i.lower_is_boundary_infinity())
- return Poly_Con_Relation::strictly_intersects();
- else {
- assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
- sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
- switch (sgn(bound_diff)) {
- case -1:
- return Poly_Con_Relation::strictly_intersects();
- case 0:
- if (constraint_type == Constraint::STRICT_INEQUALITY
- || i.lower_is_open())
- return Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::strictly_intersects();
- case 1:
- return Poly_Con_Relation::is_disjoint();
- }
- }
+ if (i.lower_is_boundary_infinity())
+ return Poly_Con_Relation::strictly_intersects();
+ else {
+ assign_r(bound_diff, i.lower(), ROUND_NOT_NEEDED);
+ sub_assign_r(bound_diff, bound_diff, bound, ROUND_NOT_NEEDED);
+ switch (sgn(bound_diff)) {
+ case -1:
+ return Poly_Con_Relation::strictly_intersects();
+ case 0:
+ if (constraint_type == Constraint::STRICT_INEQUALITY
+ || i.lower_is_open())
+ return Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::strictly_intersects();
+ case 1:
+ return Poly_Con_Relation::is_disjoint();
+ }
+ }
}
}
}
@@ -85982,7 +86065,7 @@ Box<ITV>::relation_with(const Congruence& cg) const {
return Poly_Con_Relation::is_disjoint();
else
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
}
if (cg.is_equality()) {
@@ -85994,7 +86077,7 @@ Box<ITV>::relation_with(const Congruence& cg) const {
PPL_DIRTY_TEMP(Rational_Interval, t);
PPL_DIRTY_TEMP(mpq_class, m);
r = 0;
- for (Congruence::Expression::const_iterator i = cg.expression().begin(),
+ for (Congruence::expr_type::const_iterator i = cg.expression().begin(),
i_end = cg.expression().end(); i != i_end; ++i) {
const Coefficient& cg_i = *i;
const Variable v = i.variable();
@@ -86041,16 +86124,16 @@ Box<ITV>::relation_with(const Constraint& c) const {
if (space_dim == 0) {
if ((c.is_equality() && c.inhomogeneous_term() != 0)
- || (c.is_inequality() && c.inhomogeneous_term() < 0))
+ || (c.is_inequality() && c.inhomogeneous_term() < 0))
return Poly_Con_Relation::is_disjoint();
else if (c.is_strict_inequality() && c.inhomogeneous_term() == 0)
// The constraint 0 > 0 implicitly defines the hyperplane 0 = 0;
// thus, the zero-dimensional point also saturates it.
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
+ && Poly_Con_Relation::is_disjoint();
else if (c.is_equality() || c.inhomogeneous_term() == 0)
return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ && Poly_Con_Relation::is_included();
else
// The zero-dimensional point saturates
// neither the positivity constraint 1 >= 0,
@@ -86066,23 +86149,23 @@ Box<ITV>::relation_with(const Constraint& c) const {
// c is a trivial constraint.
switch (sgn(c.inhomogeneous_term())) {
case -1:
- return Poly_Con_Relation::is_disjoint();
+ return Poly_Con_Relation::is_disjoint();
case 0:
- if (c.is_strict_inequality())
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint();
- else
- return Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included();
+ if (c.is_strict_inequality())
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint();
+ else
+ return Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included();
case 1:
- return Poly_Con_Relation::is_included();
+ return Poly_Con_Relation::is_included();
}
else {
// c is an interval constraint.
return interval_relation(seq[c_only_var],
- c.type(),
- c.inhomogeneous_term(),
- c.coefficient(Variable(c_only_var)));
+ c.type(),
+ c.inhomogeneous_term(),
+ c.coefficient(Variable(c_only_var)));
}
else {
// Deal with a non-trivial and non-interval constraint.
@@ -86090,8 +86173,8 @@ Box<ITV>::relation_with(const Constraint& c) const {
PPL_DIRTY_TEMP(Rational_Interval, t);
PPL_DIRTY_TEMP(mpq_class, m);
r = 0;
- const Constraint::Expression& e = c.expression();
- for (Constraint::Expression::const_iterator i = e.begin(), i_end = e.end();
+ const Constraint::expr_type& e = c.expression();
+ for (Constraint::expr_type::const_iterator i = e.begin(), i_end = e.end();
i != i_end; ++i) {
assign_r(m, *i, ROUND_NOT_NEEDED);
const Variable v = i.variable();
@@ -86101,8 +86184,8 @@ Box<ITV>::relation_with(const Constraint& c) const {
r += t;
}
return interval_relation(r,
- c.type(),
- c.inhomogeneous_term());
+ c.type(),
+ c.inhomogeneous_term());
}
// Quiet a compiler warning: this program point is unreachable.
@@ -86131,32 +86214,32 @@ Box<ITV>::relation_with(const Generator& g) const {
if (g.is_line_or_ray()) {
if (g.is_line()) {
- const Generator::Expression& e = g.expression();
- for (Generator::Expression::const_iterator i = e.begin(), i_end = e.end();
+ const Generator::expr_type& e = g.expression();
+ for (Generator::expr_type::const_iterator i = e.begin(), i_end = e.end();
i != i_end; ++i)
- if (!seq[i.variable().id()].is_universe())
- return Poly_Gen_Relation::nothing();
+ if (!seq[i.variable().id()].is_universe())
+ return Poly_Gen_Relation::nothing();
return Poly_Gen_Relation::subsumes();
}
else {
PPL_ASSERT(g.is_ray());
- const Generator::Expression& e = g.expression();
- for (Generator::Expression::const_iterator i = e.begin(), i_end = e.end();
+ const Generator::expr_type& e = g.expression();
+ for (Generator::expr_type::const_iterator i = e.begin(), i_end = e.end();
i != i_end; ++i) {
const Variable v = i.variable();
- switch (sgn(*i)) {
- case 1:
- if (!seq[v.id()].upper_is_boundary_infinity())
- return Poly_Gen_Relation::nothing();
- break;
- case 0:
+ switch (sgn(*i)) {
+ case 1:
+ if (!seq[v.id()].upper_is_boundary_infinity())
+ return Poly_Gen_Relation::nothing();
+ break;
+ case 0:
PPL_UNREACHABLE;
- break;
- case -1:
- if (!seq[v.id()].lower_is_boundary_infinity())
- return Poly_Gen_Relation::nothing();
- break;
- }
+ break;
+ case -1:
+ if (!seq[v.id()].lower_is_boundary_infinity())
+ return Poly_Gen_Relation::nothing();
+ break;
+ }
}
return Poly_Gen_Relation::subsumes();
}
@@ -86168,7 +86251,7 @@ Box<ITV>::relation_with(const Generator& g) const {
PPL_DIRTY_TEMP(mpq_class, bound);
// TODO: If the variables in the expression that have coefficient 0
// have no effect on seq[i], this loop can be optimized using
- // Generator::Expression::const_iterator.
+ // Generator::expr_type::const_iterator.
for (dimension_type i = g_space_dim; i-- > 0; ) {
const ITV& seq_i = seq[i];
if (seq_i.is_universe())
@@ -86180,24 +86263,24 @@ Box<ITV>::relation_with(const Generator& g) const {
if (!seq_i.lower_is_boundary_infinity()) {
assign_r(bound, seq_i.lower(), ROUND_NOT_NEEDED);
if (g_coord <= bound) {
- if (seq_i.lower_is_open()) {
- if (g.is_point() || g_coord != bound)
- return Poly_Gen_Relation::nothing();
- }
- else if (g_coord != bound)
- return Poly_Gen_Relation::nothing();
+ if (seq_i.lower_is_open()) {
+ if (g.is_point() || g_coord != bound)
+ return Poly_Gen_Relation::nothing();
+ }
+ else if (g_coord != bound)
+ return Poly_Gen_Relation::nothing();
}
}
// Check upper bound.
if (!seq_i.upper_is_boundary_infinity()) {
assign_r(bound, seq_i.upper(), ROUND_NOT_NEEDED);
if (g_coord >= bound) {
- if (seq_i.upper_is_open()) {
- if (g.is_point() || g_coord != bound)
- return Poly_Gen_Relation::nothing();
- }
- else if (g_coord != bound)
- return Poly_Gen_Relation::nothing();
+ if (seq_i.upper_is_open()) {
+ if (g.is_point() || g_coord != bound)
+ return Poly_Gen_Relation::nothing();
+ }
+ else if (g_coord != bound)
+ return Poly_Gen_Relation::nothing();
}
}
}
@@ -86216,8 +86299,8 @@ Box<ITV>::max_min(const Linear_Expression& expr,
const dimension_type expr_space_dim = expr.space_dimension();
if (space_dim < expr_space_dim)
throw_dimension_incompatible((maximize
- ? "maximize(e, ...)"
- : "minimize(e, ...)"), "e", expr);
+ ? "maximize(e, ...)"
+ : "minimize(e, ...)"), "e", expr);
// Deal with zero-dim Box first.
if (space_dim == 0) {
if (marked_empty())
@@ -86247,22 +86330,22 @@ Box<ITV>::max_min(const Linear_Expression& expr,
switch (sgn(expr_i) * maximize_sign) {
case 1:
if (seq_i.upper_is_boundary_infinity())
- return false;
+ return false;
assign_r(bound_i, seq_i.upper(), ROUND_NOT_NEEDED);
add_mul_assign_r(result, bound_i, expr_i, ROUND_NOT_NEEDED);
if (seq_i.upper_is_open())
- is_included = false;
+ is_included = false;
break;
case 0:
PPL_UNREACHABLE;
break;
case -1:
if (seq_i.lower_is_boundary_infinity())
- return false;
+ return false;
assign_r(bound_i, seq_i.lower(), ROUND_NOT_NEEDED);
add_mul_assign_r(result, bound_i, expr_i, ROUND_NOT_NEEDED);
if (seq_i.lower_is_open())
- is_included = false;
+ is_included = false;
break;
}
}
@@ -86307,36 +86390,36 @@ Box<ITV>::max_min(const Linear_Expression& expr,
// (and directly proceed to the next iteration).
// FIXME: name qualification issue.
if (seq_i.contains(0))
- continue;
+ continue;
if (!seq_i.lower_is_boundary_infinity())
- if (seq_i.lower_is_open())
- if (!seq_i.upper_is_boundary_infinity())
- if (seq_i.upper_is_open()) {
- // Bounded and open interval: compute middle point.
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
- PPL_DIRTY_TEMP(mpq_class, q_seq_i_upper);
- assign_r(q_seq_i_upper, seq_i.upper(), ROUND_NOT_NEEDED);
- g_coord += q_seq_i_upper;
- g_coord /= 2;
- }
- else
- // The upper bound is in the interval.
- assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
- else {
- // Lower is open, upper is unbounded.
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
- ++g_coord;
- }
- else
- // The lower bound is in the interval.
- assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ if (seq_i.lower_is_open())
+ if (!seq_i.upper_is_boundary_infinity())
+ if (seq_i.upper_is_open()) {
+ // Bounded and open interval: compute middle point.
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ PPL_DIRTY_TEMP(mpq_class, q_seq_i_upper);
+ assign_r(q_seq_i_upper, seq_i.upper(), ROUND_NOT_NEEDED);
+ g_coord += q_seq_i_upper;
+ g_coord /= 2;
+ }
+ else
+ // The upper bound is in the interval.
+ assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
+ else {
+ // Lower is open, upper is unbounded.
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
+ ++g_coord;
+ }
+ else
+ // The lower bound is in the interval.
+ assign_r(g_coord, seq_i.lower(), ROUND_NOT_NEEDED);
else {
- // Lower is unbounded, hence upper is bounded
- // (since we know that 0 does not belong to the interval).
- PPL_ASSERT(!seq_i.upper_is_boundary_infinity());
- assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
- if (seq_i.upper_is_open())
- --g_coord;
+ // Lower is unbounded, hence upper is bounded
+ // (since we know that 0 does not belong to the interval).
+ PPL_ASSERT(!seq_i.upper_is_boundary_infinity());
+ assign_r(g_coord, seq_i.upper(), ROUND_NOT_NEEDED);
+ if (seq_i.upper_is_open())
+ --g_coord;
}
break;
case -1:
@@ -86459,7 +86542,7 @@ Box<ITV>::OK() const {
if (tmp.check_empty()) {
#ifndef NDEBUG
std::cerr << "The box is empty, but it is marked as non-empty."
- << std::endl;
+ << std::endl;
#endif // NDEBUG
return false;
}
@@ -86469,7 +86552,7 @@ Box<ITV>::OK() const {
if (!marked_empty()) {
for (dimension_type k = seq.size(); k-- > 0; )
if (!seq[k].OK())
- return false;
+ return false;
}
return true;
@@ -86998,7 +87081,7 @@ Box<ITV>::concatenate_assign(const Box& y) {
// Here neither `x' nor `y' are marked empty: concatenate them.
std::copy(y.seq.begin(), y.seq.end(),
- std::back_insert_iterator<Sequence>(x.seq));
+ std::back_insert_iterator<Sequence>(x.seq));
// Update the `empty_up_to_date' flag.
if (!y.status.test_empty_up_to_date())
reset_empty_up_to_date();
@@ -87170,10 +87253,10 @@ Box<ITV>::time_elapse_assign(const Box& y) {
const ITV& y_seq_i = y.seq[i];
if (!x_seq_i.lower_is_boundary_infinity())
if (y_seq_i.lower_is_boundary_infinity() || y_seq_i.lower() < 0)
- x_seq_i.lower_extend();
+ x_seq_i.lower_extend();
if (!x_seq_i.upper_is_boundary_infinity())
if (y_seq_i.upper_is_boundary_infinity() || y_seq_i.upper() > 0)
- x_seq_i.upper_extend();
+ x_seq_i.upper_extend();
}
PPL_ASSERT(x.OK());
}
@@ -87195,7 +87278,7 @@ Box<ITV>::remove_space_dimensions(const Variables_Set& vars) {
const dimension_type vsi_space_dim = vars.space_dimension();
if (old_space_dim < vsi_space_dim)
throw_dimension_incompatible("remove_space_dimensions(vs)",
- vsi_space_dim);
+ vsi_space_dim);
const dimension_type new_space_dim = old_space_dim - vars.size();
@@ -87239,7 +87322,7 @@ Box<ITV>::remove_higher_space_dimensions(const dimension_type new_dimension) {
const dimension_type space_dim = space_dimension();
if (new_dimension > space_dim)
throw_dimension_incompatible("remove_higher_space_dimensions(nd)",
- new_dimension);
+ new_dimension);
// The removal of no dimensions from any box is a no-op.
// Note that this case also captures the only legal removal of
@@ -87302,7 +87385,7 @@ Box<ITV>::fold_space_dimensions(const Variables_Set& vars,
// All variables in `vars' should be dimensions of the box.
if (vars.space_dimension() > space_dim)
throw_dimension_incompatible("fold_space_dimensions(vs, v)",
- vars.space_dimension());
+ vars.space_dimension());
// Moreover, `dest.id()' should not occur in `vars'.
if (vars.find(dest.id()) != vars.end())
@@ -87315,7 +87398,7 @@ Box<ITV>::fold_space_dimensions(const Variables_Set& vars,
// corresponding to the variables in `vars'.
ITV& seq_v = seq[dest.id()];
for (Variables_Set::const_iterator i = vars.begin(),
- vs_end = vars.end(); i != vs_end; ++i)
+ vs_end = vars.end(); i != vs_end; ++i)
seq_v.join_assign(seq[*i]);
}
remove_space_dimensions(vars);
@@ -87349,7 +87432,7 @@ Box<ITV>::add_constraint_no_check(const Constraint& c) {
// Dealing with a trivial constraint.
if (n < 0
|| (c.is_equality() && n != 0)
- || (c.is_strict_inequality() && n == 0))
+ || (c.is_strict_inequality() && n == 0))
set_empty();
return;
}
@@ -87367,7 +87450,7 @@ Box<ITV>::add_constraints_no_check(const Constraint_System& cs) {
// through all the constraints to fulfill the method's contract
// for what concerns exception throwing.
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
add_constraint_no_check(*i);
PPL_ASSERT(OK());
}
@@ -87423,7 +87506,7 @@ Box<ITV>::add_congruences_no_check(const Congruence_System& cgs) {
// through all the congruences to fulfill the method's contract
// for what concerns exception throwing.
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
+ cgs_end = cgs.end(); i != cgs_end; ++i)
add_congruence_no_check(*i);
PPL_ASSERT(OK());
}
@@ -87462,7 +87545,7 @@ void
Box<ITV>::refine_no_check(const Constraint_System& cs) {
PPL_ASSERT(cs.space_dimension() <= space_dimension());
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
+ cs_end = cs.end(); !marked_empty() && i != cs_end; ++i)
refine_no_check(*i);
PPL_ASSERT(OK());
}
@@ -87492,7 +87575,7 @@ void
Box<ITV>::refine_no_check(const Congruence_System& cgs) {
PPL_ASSERT(cgs.space_dimension() <= space_dimension());
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
+ cgs_end = cgs.end(); !marked_empty() && i != cgs_end; ++i)
refine_no_check(*i);
PPL_ASSERT(OK());
}
@@ -87547,7 +87630,8 @@ Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
const Coefficient& c_inhomogeneous_term = c.inhomogeneous_term();
// Find a space dimension having a non-zero coefficient (if any).
- dimension_type last_k = c.expression().last_nonzero(1, c_space_dim + 1);
+ const dimension_type last_k
+ = c.expression().last_nonzero(1, c_space_dim + 1);
if (last_k == c_space_dim + 1) {
// Constraint c is trivial: check if it is inconsistent.
if (c_inhomogeneous_term < 0
@@ -87563,144 +87647,146 @@ Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
Temp_Boundary_Type t_a;
Temp_Boundary_Type t_x;
Ternary open;
- const Constraint::Expression& c_e = c.expression();
- for (Constraint::Expression::const_iterator k = c_e.begin(),
+ const Constraint::expr_type c_e = c.expression();
+ for (Constraint::expr_type::const_iterator k = c_e.begin(),
k_end = c_e.lower_bound(Variable(last_k)); k != k_end; ++k) {
const Coefficient& a_k = *k;
const Variable k_var = k.variable();
- int sgn_a_k = sgn(a_k);
+ const int sgn_a_k = sgn(a_k);
if (sgn_a_k == 0)
continue;
Result r;
if (sgn_a_k > 0) {
open = (c_type == Constraint::STRICT_INEQUALITY) ? T_YES : T_NO;
if (open == T_NO)
- maybe_reset_fpu_inexact<Temp_Boundary_Type>();
+ maybe_reset_fpu_inexact<Temp_Boundary_Type>();
r = assign_r(t_bound, c_inhomogeneous_term, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
+ goto maybe_refine_upper_1;
r = neg_assign_r(t_bound, t_bound, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
+ goto maybe_refine_upper_1;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
i_end = c_e.lower_bound(Variable(last_k)); i != i_end; ++i) {
const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.lower_is_boundary_infinity())
- goto maybe_refine_upper_1;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.upper_is_boundary_infinity())
- goto maybe_refine_upper_1;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
- }
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.lower_is_boundary_infinity())
+ goto maybe_refine_upper_1;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.upper_is_boundary_infinity())
+ goto maybe_refine_upper_1;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_1;
+ }
}
r = assign_r(t_a, a_k, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
+ goto maybe_refine_upper_1;
r = div_assign_r(t_bound, t_bound, t_a, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_1;
+ goto maybe_refine_upper_1;
// Refine the lower bound of `seq[k]' with `t_bound'.
if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
{
- Relation_Symbol rel = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
+ const Relation_Symbol rel
+ = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
}
reset_empty_up_to_date();
maybe_refine_upper_1:
if (c_type != Constraint::EQUALITY)
- continue;
+ continue;
open = T_NO;
maybe_reset_fpu_inexact<Temp_Boundary_Type>();
r = assign_r(t_bound, c_inhomogeneous_term, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto next_k;
+ goto next_k;
r = neg_assign_r(t_bound, t_bound, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto next_k;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
+ goto next_k;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.upper_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.lower_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.upper_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.lower_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
}
r = assign_r(t_a, a_k, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto next_k;
+ goto next_k;
r = div_assign_r(t_bound, t_bound, t_a, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto next_k;
+ goto next_k;
// Refine the upper bound of seq[k] with t_bound.
if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
- Relation_Symbol rel = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
+ const Relation_Symbol rel
+ = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
reset_empty_up_to_date();
}
@@ -87708,132 +87794,134 @@ Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
PPL_ASSERT(sgn_a_k < 0);
open = (c_type == Constraint::STRICT_INEQUALITY) ? T_YES : T_NO;
if (open == T_NO)
- maybe_reset_fpu_inexact<Temp_Boundary_Type>();
+ maybe_reset_fpu_inexact<Temp_Boundary_Type>();
r = assign_r(t_bound, c_inhomogeneous_term, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
+ goto maybe_refine_upper_2;
r = neg_assign_r(t_bound, t_bound, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
+ goto maybe_refine_upper_2;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.lower_is_boundary_infinity())
- goto maybe_refine_upper_2;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.upper_is_boundary_infinity())
- goto maybe_refine_upper_2;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
- }
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.lower_is_boundary_infinity())
+ goto maybe_refine_upper_2;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.upper_is_boundary_infinity())
+ goto maybe_refine_upper_2;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto maybe_refine_upper_2;
+ }
}
r = assign_r(t_a, a_k, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
+ goto maybe_refine_upper_2;
r = div_assign_r(t_bound, t_bound, t_a, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto maybe_refine_upper_2;
+ goto maybe_refine_upper_2;
// Refine the upper bound of seq[k] with t_bound.
if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
{
- Relation_Symbol rel = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
+ const Relation_Symbol rel
+ = (open == T_YES) ? LESS_THAN : LESS_OR_EQUAL;
seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
}
reset_empty_up_to_date();
maybe_refine_upper_2:
if (c_type != Constraint::EQUALITY)
- continue;
+ continue;
open = T_NO;
maybe_reset_fpu_inexact<Temp_Boundary_Type>();
r = assign_r(t_bound, c_inhomogeneous_term, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto next_k;
+ goto next_k;
r = neg_assign_r(t_bound, t_bound, ROUND_UP);
if (propagate_constraint_check_result(r, open))
- goto next_k;
- for (Constraint::Expression::const_iterator i = c_e.begin(),
+ goto next_k;
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
const Variable i_var = i.variable();
- if (i_var.id() == k_var.id())
- continue;
- const Coefficient& a_i = *i;
- int sgn_a_i = sgn(a_i);
- ITV& x_i = seq[i_var.id()];
- if (sgn_a_i < 0) {
- if (x_i.upper_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.upper(), ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.upper_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
- else {
- PPL_ASSERT(sgn_a_i > 0);
- if (x_i.lower_is_boundary_infinity())
- goto next_k;
- r = assign_r(t_a, a_i, ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- if (x_i.lower_is_open())
- open = T_YES;
- r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
- if (propagate_constraint_check_result(r, open))
- goto next_k;
- }
+ if (i_var.id() == k_var.id())
+ continue;
+ const Coefficient& a_i = *i;
+ const int sgn_a_i = sgn(a_i);
+ ITV& x_i = seq[i_var.id()];
+ if (sgn_a_i < 0) {
+ if (x_i.upper_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.upper(), ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.upper_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
+ else {
+ PPL_ASSERT(sgn_a_i > 0);
+ if (x_i.lower_is_boundary_infinity())
+ goto next_k;
+ r = assign_r(t_a, a_i, ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ r = assign_r(t_x, x_i.lower(), ROUND_DOWN);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ if (x_i.lower_is_open())
+ open = T_YES;
+ r = sub_mul_assign_r(t_bound, t_a, t_x, ROUND_UP);
+ if (propagate_constraint_check_result(r, open))
+ goto next_k;
+ }
}
r = assign_r(t_a, a_k, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto next_k;
+ goto next_k;
r = div_assign_r(t_bound, t_bound, t_a, ROUND_DOWN);
if (propagate_constraint_check_result(r, open))
- goto next_k;
+ goto next_k;
// Refine the lower bound of seq[k] with t_bound.
if (open == T_MAYBE
- && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
- open = T_YES;
- Relation_Symbol rel = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
+ && maybe_check_fpu_inexact<Temp_Boundary_Type>() == 1)
+ open = T_YES;
+ const Relation_Symbol rel
+ = (open == T_YES) ? GREATER_THAN : GREATER_OR_EQUAL;
seq[k_var.id()].add_constraint(i_constraint(rel, t_bound));
reset_empty_up_to_date();
}
@@ -87852,7 +87940,7 @@ Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
dimension_type c_space_dim = c.space_dimension();
ITV k[c_space_dim];
ITV p[c_space_dim];
- for (Constraint::Expression::const_iterator i = c_e.begin(),
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
const Variable i_var = i.variable();
k[i_var.id()] = *i;
@@ -87861,16 +87949,16 @@ Box<ITV>::propagate_constraint_no_check(const Constraint& c) {
p_i.mul_assign(p_i, k[i_var.id()]);
}
const Coefficient& inhomogeneous_term = c.inhomogeneous_term();
- for (Constraint::Expression::const_iterator i = c_e.begin(),
+ for (Constraint::expr_type::const_iterator i = c_e.begin(),
i_end = c_e.lower_bound(Variable(c_space_dim)); i != i_end; ++i) {
const Variable i_var = i.variable();
int sgn_coefficient_i = sgn(*i);
ITV q(inhomogeneous_term);
- for (Constraint::Expression::const_iterator j = c_e.begin(),
+ for (Constraint::expr_type::const_iterator j = c_e.begin(),
j_end = c_e.lower_bound(Variable(c_space_dim)); j != j_end; ++j) {
const Variable j_var = j.variable();
if (i_var == j_var)
- continue;
+ continue;
q.add_assign(q, p[j_var.id()]);
}
q.div_assign(q, k[i_var.id()]);
@@ -87964,7 +88052,9 @@ Box<ITV>::affine_image(const Variable var,
if (is_empty())
return;
- Tmp_Interval_Type expr_value, temp0, temp1;
+ Tmp_Interval_Type expr_value;
+ Tmp_Interval_Type temp0;
+ Tmp_Interval_Type temp1;
expr_value.assign(expr.inhomogeneous_term());
for (Linear_Expression::const_iterator i = expr.begin(),
i_end = expr.end(); i != i_end; ++i) {
@@ -88044,7 +88134,9 @@ Box<ITV>::affine_preimage(const Variable var,
const Coefficient& expr_v = expr.coefficient(var);
const bool invertible = (expr_v != 0);
if (!invertible) {
- Tmp_Interval_Type expr_value, temp0, temp1;
+ Tmp_Interval_Type expr_value;
+ Tmp_Interval_Type temp0;
+ Tmp_Interval_Type temp1;
expr_value.assign(expr.inhomogeneous_term());
for (Linear_Expression::const_iterator i = expr.begin(),
i_end = expr.end(); i != i_end; ++i) {
@@ -88095,11 +88187,11 @@ Box<ITV>
const dimension_type lb_space_dim = lb_expr.space_dimension();
if (space_dim < lb_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "lb", lb_expr);
+ "lb", lb_expr);
const dimension_type ub_space_dim = ub_expr.space_dimension();
if (space_dim < ub_space_dim)
throw_dimension_incompatible("bounded_affine_image(v, lb, ub, d)",
- "ub", ub_expr);
+ "ub", ub_expr);
// `var' should be one of the dimensions of the box.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
@@ -88119,9 +88211,9 @@ Box<ITV>
if (lb_expr.coefficient(var) == 0) {
// Here `var' can only occur in `ub_expr'.
generalized_affine_image(var,
- LESS_OR_EQUAL,
- ub_expr,
- denominator);
+ LESS_OR_EQUAL,
+ ub_expr,
+ denominator);
if (denominator > 0)
refine_with_constraint(lb_expr <= denominator*var);
else
@@ -88130,9 +88222,9 @@ Box<ITV>
else if (ub_expr.coefficient(var) == 0) {
// Here `var' can only occur in `lb_expr'.
generalized_affine_image(var,
- GREATER_OR_EQUAL,
- lb_expr,
- denominator);
+ GREATER_OR_EQUAL,
+ lb_expr,
+ denominator);
if (denominator > 0)
refine_with_constraint(denominator*var <= ub_expr);
else
@@ -88152,42 +88244,42 @@ Box<ITV>
ITV& seq_v = seq[var.id()];
if (maximize(ub_expr, max_numer, max_denom, max_included)) {
if (minimize(lb_expr, min_numer, min_denom, min_included)) {
- // The `ub_expr' has a maximum value and the `lb_expr'
- // has a minimum value for the box.
- // Set the bounds for `var' using the minimum for `lb_expr'.
- min_denom *= denominator;
- PPL_DIRTY_TEMP(mpq_class, q1);
- PPL_DIRTY_TEMP(mpq_class, q2);
- assign_r(q1.get_num(), min_numer, ROUND_NOT_NEEDED);
- assign_r(q1.get_den(), min_denom, ROUND_NOT_NEEDED);
- q1.canonicalize();
- // Now make the maximum of lb_expr the upper bound. If the
- // maximum is not at a box point, then inequality is strict.
- max_denom *= denominator;
- assign_r(q2.get_num(), max_numer, ROUND_NOT_NEEDED);
- assign_r(q2.get_den(), max_denom, ROUND_NOT_NEEDED);
- q2.canonicalize();
+ // The `ub_expr' has a maximum value and the `lb_expr'
+ // has a minimum value for the box.
+ // Set the bounds for `var' using the minimum for `lb_expr'.
+ min_denom *= denominator;
+ PPL_DIRTY_TEMP(mpq_class, q1);
+ PPL_DIRTY_TEMP(mpq_class, q2);
+ assign_r(q1.get_num(), min_numer, ROUND_NOT_NEEDED);
+ assign_r(q1.get_den(), min_denom, ROUND_NOT_NEEDED);
+ q1.canonicalize();
+ // Now make the maximum of lb_expr the upper bound. If the
+ // maximum is not at a box point, then inequality is strict.
+ max_denom *= denominator;
+ assign_r(q2.get_num(), max_numer, ROUND_NOT_NEEDED);
+ assign_r(q2.get_den(), max_denom, ROUND_NOT_NEEDED);
+ q2.canonicalize();
if (denominator > 0) {
Relation_Symbol gr = min_included ? GREATER_OR_EQUAL : GREATER_THAN;
Relation_Symbol lr = max_included ? LESS_OR_EQUAL : LESS_THAN;
seq_v.build(i_constraint(gr, q1), i_constraint(lr, q2));
}
- else {
+ else {
Relation_Symbol gr = max_included ? GREATER_OR_EQUAL : GREATER_THAN;
Relation_Symbol lr = min_included ? LESS_OR_EQUAL : LESS_THAN;
seq_v.build(i_constraint(gr, q2), i_constraint(lr, q1));
}
}
else {
- // The `ub_expr' has a maximum value but the `lb_expr'
- // has no minimum value for the box.
- // Set the bounds for `var' using the maximum for `lb_expr'.
- PPL_DIRTY_TEMP(mpq_class, q);
- max_denom *= denominator;
- assign_r(q.get_num(), max_numer, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), max_denom, ROUND_NOT_NEEDED);
- q.canonicalize();
+ // The `ub_expr' has a maximum value but the `lb_expr'
+ // has no minimum value for the box.
+ // Set the bounds for `var' using the maximum for `lb_expr'.
+ PPL_DIRTY_TEMP(mpq_class, q);
+ max_denom *= denominator;
+ assign_r(q.get_num(), max_numer, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), max_denom, ROUND_NOT_NEEDED);
+ q.canonicalize();
Relation_Symbol rel = (denominator > 0)
? (max_included ? LESS_OR_EQUAL : LESS_THAN)
: (max_included ? GREATER_OR_EQUAL : GREATER_THAN);
@@ -88195,14 +88287,14 @@ Box<ITV>
}
}
else if (minimize(lb_expr, min_numer, min_denom, min_included)) {
- // The `ub_expr' has no maximum value but the `lb_expr'
- // has a minimum value for the box.
- // Set the bounds for `var' using the minimum for `lb_expr'.
- min_denom *= denominator;
- PPL_DIRTY_TEMP(mpq_class, q);
- assign_r(q.get_num(), min_numer, ROUND_NOT_NEEDED);
- assign_r(q.get_den(), min_denom, ROUND_NOT_NEEDED);
- q.canonicalize();
+ // The `ub_expr' has no maximum value but the `lb_expr'
+ // has a minimum value for the box.
+ // Set the bounds for `var' using the minimum for `lb_expr'.
+ min_denom *= denominator;
+ PPL_DIRTY_TEMP(mpq_class, q);
+ assign_r(q.get_num(), min_numer, ROUND_NOT_NEEDED);
+ assign_r(q.get_den(), min_denom, ROUND_NOT_NEEDED);
+ q.canonicalize();
Relation_Symbol rel = (denominator > 0)
? (min_included ? GREATER_OR_EQUAL : GREATER_THAN)
@@ -88236,17 +88328,17 @@ Box<ITV>
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "v", var);
+ "v", var);
// The dimension of `lb_expr' and `ub_expr' should not be
// greater than the dimension of `*this'.
const dimension_type lb_space_dim = lb_expr.space_dimension();
if (space_dim < lb_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "lb", lb_expr);
+ "lb", lb_expr);
const dimension_type ub_space_dim = ub_expr.space_dimension();
if (space_dim < ub_space_dim)
throw_dimension_incompatible("bounded_affine_preimage(v, lb, ub, d)",
- "ub", ub_expr);
+ "ub", ub_expr);
// Any preimage of an empty polyhedron is empty.
if (marked_empty())
@@ -88406,12 +88498,12 @@ Box<ITV>
// of `*this'.
if (space_dim < expr.space_dimension())
throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "e", expr);
+ "e", expr);
// `var' should be one of the dimensions of the box.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("generalized_affine_image(v, r, e, d)",
- "v", var);
+ "v", var);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
@@ -88474,12 +88566,12 @@ Box<ITV>
// of `*this'.
if (space_dim < expr.space_dimension())
throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "e", expr);
+ "e", expr);
// `var' should be one of the dimensions of the box.
const dimension_type var_space_dim = var.space_dimension();
if (space_dim < var_space_dim)
throw_dimension_incompatible("generalized_affine_preimage(v, r, e, d)",
- "v", var);
+ "v", var);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
throw_invalid_argument("generalized_affine_preimage(v, r, e, d)",
@@ -88525,7 +88617,7 @@ Box<ITV>
? relsym
: reversed_relsym;
generalized_affine_image(var, inverse_relsym, inverse_expr,
- inverse_denominator);
+ inverse_denominator);
return;
}
@@ -88613,13 +88705,13 @@ Box<ITV>
const dimension_type space_dim = space_dimension();
if (space_dim < lhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
+ "e1", lhs);
// The dimension of `rhs' should not be greater than the dimension
// of `*this'.
const dimension_type rhs_space_dim = rhs.space_dimension();
if (space_dim < rhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
+ "e2", rhs);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
@@ -88712,16 +88804,16 @@ Box<ITV>
seq_var.assign(UNIVERSE);
break;
case EQUAL:
- {
- I_Constraint<mpq_class> l;
- I_Constraint<mpq_class> u;
- if (max_rhs)
- u.set(max_included ? LESS_OR_EQUAL : LESS_THAN, q_max);
- if (min_rhs)
- l.set(min_included ? GREATER_OR_EQUAL : GREATER_THAN, q_min);
- seq_var.build(l, u);
+ {
+ I_Constraint<mpq_class> l;
+ I_Constraint<mpq_class> u;
+ if (max_rhs)
+ u.set(max_included ? LESS_OR_EQUAL : LESS_THAN, q_max);
+ if (min_rhs)
+ l.set(min_included ? GREATER_OR_EQUAL : GREATER_THAN, q_min);
+ seq_var.build(l, u);
break;
- }
+ }
case GREATER_OR_EQUAL:
if (min_rhs) {
Relation_Symbol rel = min_included ? GREATER_OR_EQUAL : GREATER_THAN;
@@ -88759,16 +88851,16 @@ Box<ITV>
seq_var.assign(UNIVERSE);
break;
case EQUAL:
- {
- I_Constraint<mpq_class> l;
- I_Constraint<mpq_class> u;
- if (max_rhs)
- l.set(max_included ? GREATER_OR_EQUAL : GREATER_THAN, q_max);
- if (min_rhs)
- u.set(min_included ? LESS_OR_EQUAL : LESS_THAN, q_min);
- seq_var.build(l, u);
+ {
+ I_Constraint<mpq_class> l;
+ I_Constraint<mpq_class> u;
+ if (max_rhs)
+ l.set(max_included ? GREATER_OR_EQUAL : GREATER_THAN, q_max);
+ if (min_rhs)
+ u.set(min_included ? LESS_OR_EQUAL : LESS_THAN, q_min);
+ seq_var.build(l, u);
break;
- }
+ }
case LESS_OR_EQUAL:
if (max_rhs) {
Relation_Symbol rel = max_included ? GREATER_OR_EQUAL : GREATER_THAN;
@@ -88831,13 +88923,13 @@ Box<ITV>::generalized_affine_preimage(const Linear_Expression& lhs,
const dimension_type space_dim = space_dimension();
if (space_dim < lhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e1", lhs);
+ "e1", lhs);
// The dimension of `rhs' should not be greater than the dimension
// of `*this'.
const dimension_type rhs_space_dim = rhs.space_dimension();
if (space_dim < rhs_space_dim)
throw_dimension_incompatible("generalized_affine_image(e1, r, e2)",
- "e2", rhs);
+ "e2", rhs);
// The relation symbol cannot be a disequality.
if (relsym == NOT_EQUAL)
@@ -88906,9 +88998,9 @@ Box<ITV>::CC76_widening_assign(const T& y, unsigned* tp) {
return;
}
x.CC76_widening_assign(y,
- stop_points,
- stop_points
- + sizeof(stop_points)/sizeof(stop_points[0]));
+ stop_points,
+ stop_points
+ + sizeof(stop_points)/sizeof(stop_points[0]));
}
template <typename ITV>
@@ -89016,12 +89108,12 @@ Box<ITV>::CC76_narrowing_assign(const T& y) {
ITV& x_i = seq[i];
const ITV& y_i = y.seq[i];
if (!x_i.lower_is_boundary_infinity()
- && !y_i.lower_is_boundary_infinity()
- && x_i.lower() != y_i.lower())
+ && !y_i.lower_is_boundary_infinity()
+ && x_i.lower() != y_i.lower())
x_i.lower() = y_i.lower();
if (!x_i.upper_is_boundary_infinity()
- && !y_i.upper_is_boundary_infinity()
- && x_i.upper() != y_i.upper())
+ && !y_i.upper_is_boundary_infinity()
+ && x_i.upper() != y_i.upper())
x_i.upper() = y_i.upper();
}
PPL_ASSERT(OK());
@@ -89162,13 +89254,13 @@ IO_Operators::operator<<(std::ostream& s, const Box<ITV>& box) {
s << "true";
else
for (dimension_type k = 0,
- space_dim = box.space_dimension(); k < space_dim; ) {
+ space_dim = box.space_dimension(); k < space_dim; ) {
s << Variable(k) << " in " << box[k];
++k;
if (k < space_dim)
- s << ", ";
+ s << ", ";
else
- break;
+ break;
}
return s;
}
@@ -89229,7 +89321,7 @@ template <typename ITV>
void
Box<ITV>
::throw_dimension_incompatible(const char* method,
- dimension_type required_dim) const {
+ dimension_type required_dim) const {
std::ostringstream s;
s << "PPL::Box::" << method << ":" << std::endl
<< "this->space_dimension() == " << space_dimension()
@@ -89352,12 +89444,12 @@ Box<ITV>::throw_invalid_argument(const char* method, const char* reason) {
/*! \relates Box */
#endif // defined(PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS)
template <typename Specialization,
- typename Temp, typename To, typename ITV>
+ typename Temp, typename To, typename ITV>
bool
l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
- const Box<ITV>& x, const Box<ITV>& y,
- const Rounding_Dir dir,
- Temp& tmp0, Temp& tmp1, Temp& tmp2) {
+ const Box<ITV>& x, const Box<ITV>& y,
+ const Rounding_Dir dir,
+ Temp& tmp0, Temp& tmp1, Temp& tmp2) {
const dimension_type x_space_dim = x.space_dimension();
// Dimension-compatibility check.
if (x_space_dim != y.space_dimension())
@@ -89393,7 +89485,7 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
// Dealing with the lower bounds.
if (x_i.lower_is_boundary_infinity()) {
if (!y_i.lower_is_boundary_infinity())
- goto pinf;
+ goto pinf;
}
else if (y_i.lower_is_boundary_infinity())
goto pinf;
@@ -89401,12 +89493,12 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
const Temp* tmp1p;
const Temp* tmp2p;
if (x_i.lower() > y_i.lower()) {
- maybe_assign(tmp1p, tmp1, x_i.lower(), dir);
- maybe_assign(tmp2p, tmp2, y_i.lower(), inverse(dir));
+ maybe_assign(tmp1p, tmp1, x_i.lower(), dir);
+ maybe_assign(tmp2p, tmp2, y_i.lower(), inverse(dir));
}
else {
- maybe_assign(tmp1p, tmp1, y_i.lower(), dir);
- maybe_assign(tmp2p, tmp2, x_i.lower(), inverse(dir));
+ maybe_assign(tmp1p, tmp1, y_i.lower(), dir);
+ maybe_assign(tmp2p, tmp2, x_i.lower(), inverse(dir));
}
sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
PPL_ASSERT(sgn(tmp1) >= 0);
@@ -89415,21 +89507,21 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
// Dealing with the lower bounds.
if (x_i.upper_is_boundary_infinity())
if (y_i.upper_is_boundary_infinity())
- continue;
+ continue;
else
- goto pinf;
+ goto pinf;
else if (y_i.upper_is_boundary_infinity())
goto pinf;
else {
const Temp* tmp1p;
const Temp* tmp2p;
if (x_i.upper() > y_i.upper()) {
- maybe_assign(tmp1p, tmp1, x_i.upper(), dir);
- maybe_assign(tmp2p, tmp2, y_i.upper(), inverse(dir));
+ maybe_assign(tmp1p, tmp1, x_i.upper(), dir);
+ maybe_assign(tmp2p, tmp2, y_i.upper(), inverse(dir));
}
else {
- maybe_assign(tmp1p, tmp1, y_i.upper(), dir);
- maybe_assign(tmp2p, tmp2, x_i.upper(), inverse(dir));
+ maybe_assign(tmp1p, tmp1, y_i.upper(), dir);
+ maybe_assign(tmp2p, tmp2, x_i.upper(), inverse(dir));
}
sub_assign_r(tmp1, *tmp1p, *tmp2p, dir);
PPL_ASSERT(sgn(tmp1) >= 0);
@@ -89447,9 +89539,9 @@ l_m_distance_assign(Checked_Number<To, Extended_Number_Policy>& r,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Box.defs.hh line 2285. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Box_defs.hh line 2285. */
-/* Automatically generated from PPL source file ../src/Linear_Form.templates.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Linear_Form_templates.hh line 30. */
#include <stdexcept>
#include <iostream>
#include <cmath>
@@ -89689,7 +89781,7 @@ operator+=(Linear_Form<C>& f, const Variable v) {
if (v_space_dim > Linear_Form<C>::max_space_dimension())
throw std::length_error("Linear_Form<C>& "
"operator+=(e, v):\n"
- "v exceeds the maximum allowed space dimension.");
+ "v exceeds the maximum allowed space dimension.");
if (v_space_dim > f.space_dimension())
f.extend(v_space_dim+1);
f[v_space_dim] += C(typename C::boundary_type(1));
@@ -89717,7 +89809,7 @@ operator-=(Linear_Form<C>& f, const Variable v) {
if (v_space_dim > Linear_Form<C>::max_space_dimension())
throw std::length_error("Linear_Form<C>& "
"operator-=(e, v):\n"
- "v exceeds the maximum allowed space dimension.");
+ "v exceeds the maximum allowed space dimension.");
if (v_space_dim > f.space_dimension())
f.extend(v_space_dim+1);
f[v_space_dim] -= C(typename C::boundary_type(1));
@@ -89805,7 +89897,7 @@ Linear_Form<C>::OK() const {
template <typename C>
void
Linear_Form<C>::relative_error(
- const Floating_Point_Format analyzed_format,
+ const Floating_Point_Format analyzed_format,
Linear_Form& result) const {
typedef typename C::boundary_type analyzer_format;
@@ -89928,7 +90020,7 @@ IO_Operators::operator<<(std::ostream& s, const Linear_Form<C>& f) {
const C& it = f[0];
if (it != 0) {
if (!first)
- s << " + ";
+ s << " + ";
else
first = false;
s << it;
@@ -89947,17 +90039,17 @@ C Linear_Form<C>::zero(typename C::boundary_type(0));
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/linearize.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/linearize.hh line 1. */
/* Linearization function implementation.
*/
-/* Automatically generated from PPL source file ../src/Concrete_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Concrete_Expression_defs.hh line 1. */
/* Concrete_Expression class declaration.
*/
-/* Automatically generated from PPL source file ../src/Concrete_Expression.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Concrete_Expression_defs.hh line 30. */
namespace Parma_Polyhedra_Library {
@@ -90058,20 +90150,20 @@ public:
//! Returns the kind of \* this.
Concrete_Expression_Kind kind() const;
- //! Tests if \p *this has the same kind as <CODE>Derived<Target></CODE>.
+ //! Tests if \p *this has the same kind as <CODE>Derived\<Target\></CODE>.
template <template <typename T> class Derived>
bool is() const;
/*! \brief
Returns a pointer to \p *this converted to type
- <CODE>Derived<Target>*</CODE>.
+ <CODE>Derived\<Target\>*</CODE>.
*/
template <template <typename T> class Derived>
Derived<Target>* as();
/*! \brief
Returns a pointer to \p *this converted to type
- <CODE>const Derived<Target>*</CODE>.
+ <CODE>const Derived\<Target\>*</CODE>.
*/
template <template <typename T> class Derived>
const Derived<Target>* as() const;
@@ -90127,7 +90219,7 @@ class Approximable_Reference_Common {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Concrete_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Concrete_Expression_inlines.hh line 1. */
/* Concrete_Expression class implementation: inline functions.
*/
@@ -90180,25 +90272,25 @@ Concrete_Expression_Type::is_floating_point() const {
inline Bounded_Integer_Type_Width
Concrete_Expression_Type::bounded_integer_type_width() const {
- unsigned int u = impl.bounded_integer_type_width;
+ const unsigned int u = impl.bounded_integer_type_width;
return static_cast<Bounded_Integer_Type_Width>(u);
}
inline Bounded_Integer_Type_Representation
Concrete_Expression_Type::bounded_integer_type_representation() const {
- unsigned int u = impl.bounded_integer_type_representation;
+ const unsigned int u = impl.bounded_integer_type_representation;
return static_cast<Bounded_Integer_Type_Representation>(u);
}
inline Bounded_Integer_Type_Overflow
Concrete_Expression_Type::bounded_integer_type_overflow() const {
- unsigned int u = impl.bounded_integer_type_overflow;
+ const unsigned int u = impl.bounded_integer_type_overflow;
return static_cast<Bounded_Integer_Type_Overflow>(u);
}
inline Floating_Point_Format
Concrete_Expression_Type::floating_point_format() const {
- unsigned int u = impl.floating_point_format;
+ const unsigned int u = impl.floating_point_format;
return static_cast<Floating_Point_Format>(u);
}
@@ -90228,9 +90320,9 @@ Concrete_Expression_Common<Target>::as() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Concrete_Expression.defs.hh line 200. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Concrete_Expression_defs.hh line 200. */
-/* Automatically generated from PPL source file ../src/linearize.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/linearize.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -91029,7 +91121,7 @@ linearize(const Concrete_Expression<Target>& expr,
result = FP_Linear_Form(variable_value->second);
/* FIXME: do we really need to contemplate the possibility
- that an unbounded linear form was saved into lf_store? */
+ that an unbounded linear form was saved into lf_store? */
return !result.overflows();
}
@@ -91071,12 +91163,12 @@ linearize(const Concrete_Expression<Target>& expr,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/PIP_Tree.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Tree_defs.hh line 1. */
/* PIP_Tree_Node class declaration.
*/
-/* Automatically generated from PPL source file ../src/PIP_Tree.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Tree_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -91089,17 +91181,17 @@ typedef const PIP_Tree_Node* PIP_Tree;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/PIP_Problem.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_defs.hh line 1. */
/* PIP_Problem class declaration.
*/
-/* Automatically generated from PPL source file ../src/PIP_Problem.defs.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_defs.hh line 35. */
#include <vector>
#include <deque>
#include <iosfwd>
-/* Automatically generated from PPL source file ../src/PIP_Problem.defs.hh line 40. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_defs.hh line 40. */
namespace Parma_Polyhedra_Library {
@@ -91601,7 +91693,7 @@ public:
*/
template <typename In>
PIP_Problem(dimension_type dim, In first, In last,
- const Variables_Set& p_vars);
+ const Variables_Set& p_vars);
//! Ordinary copy-constructor.
PIP_Problem(const PIP_Problem& y);
@@ -91891,7 +91983,7 @@ private:
friend class PIP_Solution_Node;
};
-/* Automatically generated from PPL source file ../src/PIP_Problem.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_inlines.hh line 1. */
/* PIP_Problem class implementation: inline functions.
*/
@@ -91965,12 +92057,12 @@ swap(PIP_Problem& x, PIP_Problem& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/PIP_Problem.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_templates.hh line 1. */
/* PIP_Problem class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/PIP_Problem.templates.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_templates.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -92024,11 +92116,11 @@ PIP_Problem::PIP_Problem(dimension_type dim,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/PIP_Problem.defs.hh line 833. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Problem_defs.hh line 833. */
-/* Automatically generated from PPL source file ../src/PIP_Tree.defs.hh line 36. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Tree_defs.hh line 36. */
-/* Automatically generated from PPL source file ../src/PIP_Tree.defs.hh line 40. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Tree_defs.hh line 40. */
namespace Parma_Polyhedra_Library {
@@ -92055,7 +92147,7 @@ protected:
/*! \brief
Returns \c true if and only if all the nodes in the subtree
- rooted in \p *this is owned by \p *pip.
+ rooted in \p *this are owned by \p *owner.
*/
virtual bool check_ownership(const PIP_Problem* owner) const = 0;
@@ -92823,7 +92915,7 @@ std::ostream& operator<<(std::ostream& os,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/PIP_Tree.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Tree_inlines.hh line 1. */
/* PIP_Tree related class implementation: inline functions.
*/
@@ -92941,14 +93033,14 @@ swap(PIP_Tree_Node::Artificial_Parameter& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/PIP_Tree.defs.hh line 835. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/PIP_Tree_defs.hh line 835. */
-/* Automatically generated from PPL source file ../src/BHRZ03_Certificate.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BHRZ03_Certificate_defs.hh line 1. */
/* BHRZ03_Certificate class declaration.
*/
-/* Automatically generated from PPL source file ../src/BHRZ03_Certificate.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BHRZ03_Certificate_defs.hh line 31. */
#include <vector>
//! The convergence certificate for the BHRZ03 widening operator.
@@ -93006,7 +93098,7 @@ public:
struct Compare {
//! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
bool operator()(const BHRZ03_Certificate& x,
- const BHRZ03_Certificate& y) const;
+ const BHRZ03_Certificate& y) const;
};
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -93034,7 +93126,7 @@ private:
std::vector<dimension_type> num_rays_null_coord;
};
-/* Automatically generated from PPL source file ../src/BHRZ03_Certificate.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BHRZ03_Certificate_inlines.hh line 1. */
/* BHRZ03_Certificate class implementation: inline functions.
*/
@@ -93067,7 +93159,7 @@ BHRZ03_Certificate::is_stabilizing(const Polyhedron& ph) const {
inline bool
BHRZ03_Certificate::Compare::operator()(const BHRZ03_Certificate& x,
- const BHRZ03_Certificate& y) const {
+ const BHRZ03_Certificate& y) const {
// For an efficient evaluation of the multiset ordering based
// on this LGO relation, we want larger elements to come first.
return x.compare(y) == 1;
@@ -93075,14 +93167,14 @@ BHRZ03_Certificate::Compare::operator()(const BHRZ03_Certificate& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/BHRZ03_Certificate.defs.hh line 117. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/BHRZ03_Certificate_defs.hh line 117. */
-/* Automatically generated from PPL source file ../src/H79_Certificate.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/H79_Certificate_defs.hh line 1. */
/* H79_Certificate class declaration.
*/
-/* Automatically generated from PPL source file ../src/H79_Certificate.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/H79_Certificate_defs.hh line 31. */
#include <vector>
//! A convergence certificate for the H79 widening operator.
@@ -93138,7 +93230,7 @@ public:
struct Compare {
//! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
bool operator()(const H79_Certificate& x,
- const H79_Certificate& y) const;
+ const H79_Certificate& y) const;
};
private:
@@ -93148,12 +93240,12 @@ private:
dimension_type num_constraints;
};
-/* Automatically generated from PPL source file ../src/H79_Certificate.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/H79_Certificate_inlines.hh line 1. */
/* H79_Certificate class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/H79_Certificate.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/H79_Certificate_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -93174,7 +93266,7 @@ H79_Certificate::~H79_Certificate() {
inline bool
H79_Certificate::Compare::operator()(const H79_Certificate& x,
- const H79_Certificate& y) const {
+ const H79_Certificate& y) const {
// For an efficient evaluation of the multiset ordering based
// on this LGO relation, we want larger elements to come first.
return x.compare(y) == 1;
@@ -93197,16 +93289,16 @@ H79_Certificate::compare(const PH& ph) const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/H79_Certificate.defs.hh line 97. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/H79_Certificate_defs.hh line 97. */
-/* Automatically generated from PPL source file ../src/Grid_Certificate.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Certificate_defs.hh line 1. */
/* Grid_Certificate class declaration.
*/
-/* Automatically generated from PPL source file ../src/Grid_Certificate.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Certificate_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/Grid_Certificate.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Certificate_defs.hh line 32. */
#include <vector>
//! The convergence certificate for the Grid widening operator.
@@ -93260,7 +93352,7 @@ public:
struct Compare {
//! Returns <CODE>true</CODE> if and only if \p x comes before \p y.
bool operator()(const Grid_Certificate& x,
- const Grid_Certificate& y) const;
+ const Grid_Certificate& y) const;
};
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -93277,7 +93369,7 @@ private:
dimension_type num_proper_congruences;
};
-/* Automatically generated from PPL source file ../src/Grid_Certificate.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Certificate_inlines.hh line 1. */
/* Grid_Certificate class implementation: inline functions.
*/
@@ -93308,7 +93400,7 @@ Grid_Certificate::is_stabilizing(const Grid& gr) const {
inline bool
Grid_Certificate::Compare::operator()(const Grid_Certificate& x,
- const Grid_Certificate& y) const {
+ const Grid_Certificate& y) const {
// For an efficient evaluation of the multiset ordering based
// on this LGO relation, we want larger elements to come first.
return x.compare(y) == 1;
@@ -93316,14 +93408,14 @@ Grid_Certificate::Compare::operator()(const Grid_Certificate& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Grid_Certificate.defs.hh line 103. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Grid_Certificate_defs.hh line 103. */
-/* Automatically generated from PPL source file ../src/Partial_Function.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partial_Function_defs.hh line 1. */
/* Partial_Function class declaration.
*/
-/* Automatically generated from PPL source file ../src/Partial_Function.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partial_Function_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -93332,7 +93424,7 @@ class Partial_Function;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partial_Function.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partial_Function_defs.hh line 29. */
#include <vector>
#ifndef NDEBUG
#include <set>
@@ -93389,13 +93481,13 @@ private:
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partial_Function.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partial_Function_inlines.hh line 1. */
/* Partial_Function class implementation: inline functions.
*/
#include <stdexcept>
-/* Automatically generated from PPL source file ../src/Partial_Function.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partial_Function_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -93414,7 +93506,7 @@ inline dimension_type
Partial_Function::max_in_codomain() const {
if (has_empty_codomain())
throw std::runtime_error("Partial_Function::max_in_codomain() called"
- " when has_empty_codomain()");
+ " when has_empty_codomain()");
PPL_ASSERT(codomain.begin() != codomain.end()
&& max == *codomain.rbegin());
return max;
@@ -93448,7 +93540,7 @@ inline bool
Partial_Function::maps(dimension_type i, dimension_type& j) const {
if (i >= vec.size())
return false;
- dimension_type vec_i = vec[i];
+ const dimension_type vec_i = vec[i];
if (vec_i == not_a_dimension())
return false;
j = vec_i;
@@ -93457,14 +93549,14 @@ Partial_Function::maps(dimension_type i, dimension_type& j) const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partial_Function.defs.hh line 86. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partial_Function_defs.hh line 86. */
-/* Automatically generated from PPL source file ../src/Widening_Function.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Widening_Function_defs.hh line 1. */
/* Widening_Function class declaration.
*/
-/* Automatically generated from PPL source file ../src/Widening_Function.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Widening_Function_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -93477,7 +93569,7 @@ class Limited_Widening_Function;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Widening_Function.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Widening_Function_defs.hh line 29. */
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
//! Wraps a widening method into a function object.
@@ -93527,7 +93619,7 @@ public:
The constraint system limiting the widening.
*/
Limited_Widening_Function(Limited_Widening_Method lwm,
- const CSYS& cs);
+ const CSYS& cs);
//! Function-application operator.
/*!
@@ -93570,16 +93662,16 @@ widen_fun_ref(void (PSET::* wm)(const PSET&, unsigned*));
template <typename PSET, typename CSYS>
Limited_Widening_Function<PSET, CSYS>
widen_fun_ref(void (PSET::* lwm)(const PSET&, const CSYS&, unsigned*),
- const CSYS& cs);
+ const CSYS& cs);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Widening_Function.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Widening_Function_inlines.hh line 1. */
/* Widening_Function class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Widening_Function.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Widening_Function_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -93598,7 +93690,7 @@ operator()(PSET& x, const PSET& y, unsigned* tp) const {
template <typename PSET, typename CSYS>
Limited_Widening_Function<PSET, CSYS>::
Limited_Widening_Function(Limited_Widening_Method lwm,
- const CSYS& cs)
+ const CSYS& cs)
: lw_method(lwm), limiting_cs(cs) {
}
@@ -93620,26 +93712,26 @@ widen_fun_ref(void (PSET::* wm)(const PSET&, unsigned*)) {
template <typename PSET, typename CSYS>
inline Limited_Widening_Function<PSET, CSYS>
widen_fun_ref(void (PSET::* lwm)(const PSET&, const CSYS&, unsigned*),
- const CSYS& cs) {
+ const CSYS& cs) {
return Limited_Widening_Function<PSET, CSYS>(lwm, cs);
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Widening_Function.defs.hh line 126. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Widening_Function_defs.hh line 126. */
-/* Automatically generated from PPL source file ../src/max_space_dimension.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/max_space_dimension.hh line 1. */
/* Definition of functions yielding maximal space dimensions.
*/
-/* Automatically generated from PPL source file ../src/NNC_Polyhedron.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/NNC_Polyhedron_defs.hh line 1. */
/* NNC_Polyhedron class declaration.
*/
-/* Automatically generated from PPL source file ../src/NNC_Polyhedron.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/NNC_Polyhedron_defs.hh line 31. */
//! A not necessarily closed convex polyhedron.
/*! \ingroup PPL_CXX_interface
@@ -93672,7 +93764,7 @@ public:
by default, a 0-dimension space universe NNC polyhedron is built.
*/
explicit NNC_Polyhedron(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
+ Degenerate_Element kind = UNIVERSE);
//! Builds an NNC polyhedron from a system of constraints.
/*!
@@ -93863,12 +93955,12 @@ public:
bool upper_bound_assign_if_exact(const NNC_Polyhedron& y);
};
-/* Automatically generated from PPL source file ../src/NNC_Polyhedron.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/NNC_Polyhedron_inlines.hh line 1. */
/* NNC_Polyhedron class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/NNC_Polyhedron.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/NNC_Polyhedron_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -93878,14 +93970,14 @@ NNC_Polyhedron::~NNC_Polyhedron() {
inline
NNC_Polyhedron::NNC_Polyhedron(dimension_type num_dimensions,
- Degenerate_Element kind)
+ Degenerate_Element kind)
: Polyhedron(NOT_NECESSARILY_CLOSED,
check_space_dimension_overflow(num_dimensions,
NOT_NECESSARILY_CLOSED,
"NNC_Polyhedron(n, k)",
"n exceeds the maximum "
"allowed space dimension"),
- kind) {
+ kind) {
}
inline
@@ -93906,7 +93998,7 @@ NNC_Polyhedron::NNC_Polyhedron(Constraint_System& cs, Recycle_Input)
"the space dimension of cs "
"exceeds the maximum allowed "
"space dimension"),
- Recycle_Input()) {
+ Recycle_Input()) {
}
inline
@@ -93927,7 +94019,7 @@ NNC_Polyhedron::NNC_Polyhedron(Generator_System& gs, Recycle_Input)
"the space dimension of gs "
"exceeds the maximum allowed "
"space dimension"),
- Recycle_Input()) {
+ Recycle_Input()) {
}
template <typename Interval>
@@ -93994,14 +94086,14 @@ NNC_Polyhedron::upper_bound_assign_if_exact(const NNC_Polyhedron& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/NNC_Polyhedron.defs.hh line 255. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/NNC_Polyhedron_defs.hh line 255. */
-/* Automatically generated from PPL source file ../src/Rational_Box.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rational_Box.hh line 1. */
/* Rational_Box class declaration and implementation.
*/
-/* Automatically generated from PPL source file ../src/Rational_Box.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Rational_Box.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -94012,7 +94104,7 @@ typedef Box<Rational_Interval> Rational_Box;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/max_space_dimension.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/max_space_dimension.hh line 34. */
#include <algorithm>
namespace Parma_Polyhedra_Library {
@@ -94056,17 +94148,17 @@ max_space_dimension() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/algorithms.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/algorithms.hh line 1. */
/* A collection of useful convex polyhedra algorithms: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_defs.hh line 1. */
/* Pointset_Powerset class declaration.
*/
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -94076,12 +94168,12 @@ class Pointset_Powerset;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_defs.hh line 1. */
/* Partially_Reduced_Product class declaration.
*/
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.defs.hh line 49. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_defs.hh line 49. */
namespace Parma_Polyhedra_Library {
@@ -94102,7 +94194,7 @@ operator<<(std::ostream& s, const Partially_Reduced_Product<D1, D2, R>& dp);
/*! \relates Partially_Reduced_Product */
template <typename D1, typename D2, typename R>
void swap(Partially_Reduced_Product<D1, D2, R>& x,
- Partially_Reduced_Product<D1, D2, R>& y);
+ Partially_Reduced_Product<D1, D2, R>& y);
/*! \brief
Returns <CODE>true</CODE> if and only if the components of \p x and \p y
@@ -94114,7 +94206,7 @@ void swap(Partially_Reduced_Product<D1, D2, R>& x,
*/
template <typename D1, typename D2, typename R>
bool operator==(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y);
+ const Partially_Reduced_Product<D1, D2, R>& y);
/*! \brief
Returns <CODE>true</CODE> if and only if the components of \p x and \p y
@@ -94126,7 +94218,7 @@ bool operator==(const Partially_Reduced_Product<D1, D2, R>& x,
*/
template <typename D1, typename D2, typename R>
bool operator!=(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y);
+ const Partially_Reduced_Product<D1, D2, R>& y);
} // namespace Parma_Polyhedra_Library
@@ -94347,11 +94439,11 @@ public:
<CODE>C_Polyhedron</CODE>,
<CODE>NNC_Polyhedron</CODE>,
<CODE>Grid</CODE>,
- <CODE>Octagonal_Shape<T></CODE>,
- <CODE>BD_Shape<T></CODE>,
- <CODE>Box<T></CODE>.
+ <CODE>Octagonal_Shape\<T\></CODE>,
+ <CODE>BD_Shape\<T\></CODE>,
+ <CODE>Box\<T\></CODE>.
- An object of the class <CODE>Partially_Reduced_Product<D1, D2, R></CODE>
+ An object of the class <CODE>Partially_Reduced_Product\<D1, D2, R\></CODE>
represents the (partially reduced) product of two pointset domains \p D1
and \p D2 where the form of any reduction is defined by the
reduction class \p R.
@@ -94372,8 +94464,8 @@ public:
The operations are defined to be the result of applying the corresponding
operations on each of the components provided the product is already reduced
by the reduction method defined by \p R.
- In particular, if \p R is the <CODE>No_Reduction<D1, D2></CODE> class,
- then the class <CODE>Partially_Reduced_Product<D1, D2, R></CODE> domain
+ In particular, if \p R is the <CODE>No_Reduction\<D1, D2\></CODE> class,
+ then the class <CODE>Partially_Reduced_Product\<D1, D2, R\></CODE> domain
is the direct product as defined in \ref CC79 "[CC79]".
How the results on the components are interpreted and
@@ -94392,7 +94484,7 @@ public:
\par
In all the examples it is assumed that the template \c R is the
- <CODE>No_Reduction<D1, D2></CODE> class and that variables
+ <CODE>No_Reduction\<D1, D2\></CODE> class and that variables
\c x and \c y are defined (where they are used) as follows:
\code
Variable x(0);
@@ -94472,7 +94564,7 @@ public:
dimension.
*/
explicit Partially_Reduced_Product(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
+ Degenerate_Element kind = UNIVERSE);
//! Builds a pair, copying a system of congruences.
/*!
@@ -94838,7 +94930,7 @@ public:
maximum are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -94869,8 +94961,8 @@ public:
and \p g are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -94897,7 +94989,7 @@ public:
and \p minimum are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty and
@@ -94928,8 +95020,8 @@ public:
and \p point are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if each component of \p *this
@@ -95150,9 +95242,9 @@ public:
*/
void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the \ref Single_Update_Affine_Functions
@@ -95175,9 +95267,9 @@ public:
dimension-incompatible or if \p var is not a space dimension of \p *this.
*/
void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -95207,10 +95299,10 @@ public:
relation symbol.
*/
void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -95241,10 +95333,10 @@ public:
*/
void
generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -95268,8 +95360,8 @@ public:
relation symbol.
*/
void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -95293,8 +95385,8 @@ public:
relation symbol.
*/
void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*!
\brief
@@ -95323,10 +95415,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*!
\brief
@@ -95355,10 +95447,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the result of computing the \ref Time_Elapse_Operator
@@ -95603,7 +95695,7 @@ public:
//@} // Member Functions that May Modify the Dimension of the Vector Space
friend bool operator==<>(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y);
+ const Partially_Reduced_Product<D1, D2, R>& y);
friend std::ostream&
Parma_Polyhedra_Library::IO_Operators::
@@ -95695,8 +95787,8 @@ namespace Parma_Polyhedra_Library {
be supported in C++.
When template typedefs will be supported in C++, what now is verbosely
- denoted by Domain_Product<Domain1, Domain2>::Direct_Product will simply
- be denoted by Direct_Product<Domain1, Domain2>.
+ denoted by <CODE>Domain_Product\<Domain1, Domain2\>::%Direct_Product</CODE>
+ will simply be denoted by <CODE>Direct_Product\<Domain1, Domain2\></CODE>.
*/
template <typename D1, typename D2>
class Domain_Product {
@@ -95719,12 +95811,12 @@ public:
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_inlines.hh line 1. */
/* Partially_Reduced_Product class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.inlines.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_inlines.hh line 32. */
namespace Parma_Polyhedra_Library {
@@ -95740,7 +95832,7 @@ template <typename D1, typename D2, typename R>
inline
Partially_Reduced_Product<D1, D2, R>
::Partially_Reduced_Product(dimension_type num_dimensions,
- const Degenerate_Element kind)
+ const Degenerate_Element kind)
: d1(num_dimensions <= max_space_dimension()
? num_dimensions
: (throw_space_dimension_overflow("Partially_Reduced_Product(n, k)",
@@ -95852,14 +95944,11 @@ inline
Partially_Reduced_Product<D1, D2, R>
::Partially_Reduced_Product(const Partially_Reduced_Product<E1, E2, S>& y,
Complexity_Class complexity)
- : d1(y.space_dimension()), d2(y.space_dimension()) {
+ : d1(y.space_dimension()), d2(y.space_dimension()), reduced(false) {
Partially_Reduced_Product<D1, D2, R> pg1(y.domain1(), complexity);
Partially_Reduced_Product<D1, D2, R> pg2(y.domain2(), complexity);
pg1.intersection_assign(pg2);
m_swap(pg1);
- /* Even if y is reduced, the built product may not be reduced as
- the reduction method may have changed (i.e., S != R). */
- clear_reduced_flag();
}
template <typename D1, typename D2, typename R>
@@ -95964,8 +96053,8 @@ template <typename D1, typename D2, typename R>
inline void
Partially_Reduced_Product<D1, D2, R>
::affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
d1.affine_image(var, expr, denominator);
d2.affine_image(var, expr, denominator);
clear_reduced_flag();
@@ -95975,8 +96064,8 @@ template <typename D1, typename D2, typename R>
inline void
Partially_Reduced_Product<D1, D2, R>
::affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
d1.affine_preimage(var, expr, denominator);
d2.affine_preimage(var, expr, denominator);
clear_reduced_flag();
@@ -95986,9 +96075,9 @@ template <typename D1, typename D2, typename R>
inline void
Partially_Reduced_Product<D1, D2, R>
::generalized_affine_image(Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
d1.generalized_affine_image(var, relsym, expr, denominator);
d2.generalized_affine_image(var, relsym, expr, denominator);
clear_reduced_flag();
@@ -95998,9 +96087,9 @@ template <typename D1, typename D2, typename R>
inline void
Partially_Reduced_Product<D1, D2, R>
::generalized_affine_preimage(Variable var,
- const Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator) {
d1.generalized_affine_preimage(var, relsym, expr, denominator);
d2.generalized_affine_preimage(var, relsym, expr, denominator);
clear_reduced_flag();
@@ -96010,8 +96099,8 @@ template <typename D1, typename D2, typename R>
inline void
Partially_Reduced_Product<D1, D2, R>
::generalized_affine_image(const Linear_Expression& lhs,
- const Relation_Symbol relsym,
- const Linear_Expression& rhs) {
+ const Relation_Symbol relsym,
+ const Linear_Expression& rhs) {
d1.generalized_affine_image(lhs, relsym, rhs);
d2.generalized_affine_image(lhs, relsym, rhs);
clear_reduced_flag();
@@ -96338,7 +96427,7 @@ template <typename D1, typename D2, typename R>
inline void
Partially_Reduced_Product<D1, D2, R>
::fold_space_dimensions(const Variables_Set& vars,
- Variable dest) {
+ Variable dest) {
d1.fold_space_dimensions(vars, dest);
d2.fold_space_dimensions(vars, dest);
}
@@ -96418,7 +96507,7 @@ Partially_Reduced_Product<D1, D2, R>::hash_code() const {
template <typename D1, typename D2, typename R>
inline bool
operator==(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y) {
+ const Partially_Reduced_Product<D1, D2, R>& y) {
x.reduce();
y.reduce();
return x.d1 == y.d1 && x.d2 == y.d2;
@@ -96428,7 +96517,7 @@ operator==(const Partially_Reduced_Product<D1, D2, R>& x,
template <typename D1, typename D2, typename R>
inline bool
operator!=(const Partially_Reduced_Product<D1, D2, R>& x,
- const Partially_Reduced_Product<D1, D2, R>& y) {
+ const Partially_Reduced_Product<D1, D2, R>& y) {
return !(x == y);
}
@@ -96438,9 +96527,9 @@ inline std::ostream&
IO_Operators::operator<<(std::ostream& s,
const Partially_Reduced_Product<D1, D2, R>& dp) {
return s << "Domain 1:\n"
- << dp.d1
- << "Domain 2:\n"
- << dp.d2;
+ << dp.d1
+ << "Domain 2:\n"
+ << dp.d2;
}
} // namespace Parma_Polyhedra_Library
@@ -96511,13 +96600,13 @@ swap(Partially_Reduced_Product<D1, D2, R>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_templates.hh line 1. */
/* Partially_Reduced_Product class implementation:
non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.templates.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_templates.hh line 31. */
#include <algorithm>
#include <deque>
@@ -96541,7 +96630,7 @@ Partially_Reduced_Product<D1, D2, R>::constraints() const {
Constraint_System cs = d2.constraints();
const Constraint_System& cs1 = d1.constraints();
for (Constraint_System::const_iterator i = cs1.begin(),
- cs_end = cs1.end(); i != cs_end; ++i)
+ cs_end = cs1.end(); i != cs_end; ++i)
cs.insert(*i);
return cs;
}
@@ -96553,7 +96642,7 @@ Partially_Reduced_Product<D1, D2, R>::minimized_constraints() const {
Constraint_System cs = d2.constraints();
const Constraint_System& cs1 = d1.constraints();
for (Constraint_System::const_iterator i = cs1.begin(),
- cs_end = cs1.end(); i != cs_end; ++i)
+ cs_end = cs1.end(); i != cs_end; ++i)
cs.insert(*i);
if (cs.has_strict_inequalities()) {
NNC_Polyhedron ph(cs);
@@ -96572,7 +96661,7 @@ Partially_Reduced_Product<D1, D2, R>::congruences() const {
Congruence_System cgs = d2.congruences();
const Congruence_System& cgs1 = d1.congruences();
for (Congruence_System::const_iterator i = cgs1.begin(),
- cgs_end = cgs1.end(); i != cgs_end; ++i)
+ cgs_end = cgs1.end(); i != cgs_end; ++i)
cgs.insert(*i);
return cgs;
}
@@ -96584,7 +96673,7 @@ Partially_Reduced_Product<D1, D2, R>::minimized_congruences() const {
Congruence_System cgs = d2.congruences();
const Congruence_System& cgs1 = d1.congruences();
for (Congruence_System::const_iterator i = cgs1.begin(),
- cgs_end = cgs1.end(); i != cgs_end; ++i)
+ cgs_end = cgs1.end(); i != cgs_end; ++i)
cgs.insert(*i);
Grid gr(cgs);
return gr.minimized_congruences();
@@ -96698,9 +96787,9 @@ template <typename D1, typename D2, typename R>
bool
Partially_Reduced_Product<D1, D2, R>
::maximize(const Linear_Expression& expr,
- Coefficient& sup_n,
- Coefficient& sup_d,
- bool& maximum) const {
+ Coefficient& sup_n,
+ Coefficient& sup_d,
+ bool& maximum) const {
reduce();
if (is_empty())
@@ -96749,9 +96838,9 @@ template <typename D1, typename D2, typename R>
bool
Partially_Reduced_Product<D1, D2, R>
::minimize(const Linear_Expression& expr,
- Coefficient& inf_n,
- Coefficient& inf_d,
- bool& minimum) const {
+ Coefficient& inf_n,
+ Coefficient& inf_d,
+ bool& minimum) const {
reduce();
if (is_empty())
@@ -96801,10 +96890,10 @@ template <typename D1, typename D2, typename R>
bool
Partially_Reduced_Product<D1, D2, R>
::maximize(const Linear_Expression& expr,
- Coefficient& sup_n,
- Coefficient& sup_d,
- bool& maximum,
- Generator& g) const {
+ Coefficient& sup_n,
+ Coefficient& sup_d,
+ bool& maximum,
+ Generator& g) const {
reduce();
if (is_empty())
@@ -96860,10 +96949,10 @@ template <typename D1, typename D2, typename R>
bool
Partially_Reduced_Product<D1, D2, R>
::minimize(const Linear_Expression& expr,
- Coefficient& inf_n,
- Coefficient& inf_d,
- bool& minimum,
- Generator& g) const {
+ Coefficient& inf_n,
+ Coefficient& inf_d,
+ bool& minimum,
+ Generator& g) const {
reduce();
if (is_empty())
@@ -97008,7 +97097,7 @@ bool shrink_to_congruence_no_check(D1& d1, D2& d2, const Congruence& cg) {
// It is assumed that cg is satisfied by all points in d1.
PPL_ASSERT(d1.relation_with(cg) == Poly_Con_Relation::is_included());
- Linear_Expression e(cg);
+ Linear_Expression e(cg.expression());
// Find the maximum and minimum bounds for the domain element d with the
// linear expression e.
@@ -97081,7 +97170,7 @@ bool shrink_to_congruence_no_check(D1& d1, D2& d2, const Congruence& cg) {
template <typename D1, typename D2>
void
- Congruences_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
+Congruences_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
if (d1.is_empty() || d2.is_empty()) {
// If one of the components is empty, do the smash reduction and return.
Parma_Polyhedra_Library::Smash_Reduction<D1, D2> sr;
@@ -97118,12 +97207,12 @@ void
template <typename D1, typename D2>
void
- Shape_Preserving_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
- // First do the congruences reduction.
- Parma_Polyhedra_Library::Congruences_Reduction<D1, D2> cgr;
- cgr.product_reduce(d1, d2);
- if (d1.is_empty())
- return;
+Shape_Preserving_Reduction<D1, D2>::product_reduce(D1& d1, D2& d2) {
+ // First do the congruences reduction.
+ Parma_Polyhedra_Library::Congruences_Reduction<D1, D2> cgr;
+ cgr.product_reduce(d1, d2);
+ if (d1.is_empty())
+ return;
PPL_DIRTY_TEMP_COEFFICIENT(freq_n);
PPL_DIRTY_TEMP_COEFFICIENT(freq_d);
@@ -97140,7 +97229,7 @@ void
continue;
// Check the frequency and value of the linear expression for
// the constraint `c'.
- Linear_Expression le(c);
+ Linear_Expression le(c.expression());
if (!d1.frequency(le, freq_n, freq_d, val_n, val_d))
// Nothing to do.
continue;
@@ -97170,7 +97259,7 @@ void
continue;
// Check the frequency and value of the linear expression for
// the constraint `c'.
- Linear_Expression le(c);
+ Linear_Expression le(c.expression());
if (!d2.frequency(le, freq_n, freq_d, val_n, val_d))
// Nothing to do.
continue;
@@ -97197,14 +97286,14 @@ void
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Partially_Reduced_Product.defs.hh line 1688. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Partially_Reduced_Product_defs.hh line 1688. */
-/* Automatically generated from PPL source file ../src/Determinate.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_defs.hh line 1. */
/* Determinate class declaration.
*/
-/* Automatically generated from PPL source file ../src/Determinate.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -97214,9 +97303,9 @@ class Determinate;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Determinate.defs.hh line 32. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_defs.hh line 32. */
#include <iosfwd>
-/* Automatically generated from PPL source file ../src/Determinate.defs.hh line 34. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_defs.hh line 34. */
namespace Parma_Polyhedra_Library {
@@ -97261,7 +97350,7 @@ operator<<(std::ostream&, const Determinate<PSET>&);
in \ref Bag98 "[Bag98]".
The implementation uses a copy-on-write optimization, making the
- class suitable for constructions, like the <EM>finite powerset</EM></A>
+ class suitable for constructions, like the <EM>finite powerset</EM>
and <EM>ask-and-tell</EM> of \ref Bag98 "[Bag98]", that are likely
to perform many copies.
@@ -97512,19 +97601,19 @@ private:
operator!=<PSET>(const Determinate<PSET>& x, const Determinate<PSET>& y);
};
-/* Automatically generated from PPL source file ../src/Determinate.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_inlines.hh line 1. */
/* Determinate class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Determinate.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
template <typename PSET>
inline
Determinate<PSET>::Rep::Rep(dimension_type num_dimensions,
- Degenerate_Element kind)
+ Degenerate_Element kind)
: references(0), pset(num_dimensions, kind) {
}
@@ -97638,7 +97727,7 @@ template <typename PSET>
inline void
Determinate<PSET>::mutate() {
if (prep->is_shared()) {
- Rep* new_prep = new Rep(prep->pset);
+ Rep* const new_prep = new Rep(prep->pset);
(void) prep->del_reference();
new_prep->new_reference();
prep = new_prep;
@@ -97795,14 +97884,14 @@ swap(Determinate<PSET>& x, Determinate<PSET>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Determinate.defs.hh line 330. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Determinate_defs.hh line 330. */
-/* Automatically generated from PPL source file ../src/Powerset.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_defs.hh line 1. */
/* Powerset class declaration.
*/
-/* Automatically generated from PPL source file ../src/Powerset.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -97812,12 +97901,12 @@ class Powerset;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/iterator_to_const.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/iterator_to_const_defs.hh line 1. */
/* iterator_to_const and const_iterator_to_const class declarations.
*/
-/* Automatically generated from PPL source file ../src/iterator_to_const.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/iterator_to_const_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -97830,8 +97919,8 @@ class const_iterator_to_const;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/iterator_to_const.defs.hh line 29. */
-//#include "Ask_Tell.types.hh"
+/* Automatically generated from PPL source file ../../ppl/ppl/src/iterator_to_const_defs.hh line 29. */
+//#include "Ask_Tell_types.hh"
#include <iterator>
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
@@ -98004,7 +98093,7 @@ namespace Parma_Polyhedra_Library {
template <typename Container>
bool
operator==(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y);
+ const const_iterator_to_const<Container>& y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
/*! \brief
@@ -98017,11 +98106,11 @@ operator==(const iterator_to_const<Container>& x,
template <typename Container>
bool
operator!=(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y);
+ const const_iterator_to_const<Container>& y);
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/iterator_to_const.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/iterator_to_const_inlines.hh line 1. */
/* iterator_to_const and const_iterator_to_const class implementations:
inline functions.
*/
@@ -98187,7 +98276,7 @@ const_iterator_to_const<Container>
template <typename Container>
inline bool
operator==(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y) {
+ const const_iterator_to_const<Container>& y) {
return const_iterator_to_const<Container>(x).operator==(y);
}
@@ -98195,15 +98284,15 @@ operator==(const iterator_to_const<Container>& x,
template <typename Container>
inline bool
operator!=(const iterator_to_const<Container>& x,
- const const_iterator_to_const<Container>& y) {
+ const const_iterator_to_const<Container>& y) {
return !(x == y);
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/iterator_to_const.defs.hh line 220. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/iterator_to_const_defs.hh line 220. */
-/* Automatically generated from PPL source file ../src/Powerset.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_defs.hh line 30. */
#include <iosfwd>
#include <iterator>
#include <list>
@@ -98583,8 +98672,8 @@ protected:
it will be reduced upon successful return from the method.
*/
iterator add_non_bottom_disjunct_preserve_reduction(const D& d,
- iterator first,
- iterator last);
+ iterator first,
+ iterator last);
/*! \brief
Adds to \p *this the disjunct \p d, assuming \p d is not the
@@ -98605,7 +98694,7 @@ protected:
*/
template <typename Binary_Operator_Assign>
void pairwise_apply_assign(const Powerset& y,
- Binary_Operator_Assign op_assign);
+ Binary_Operator_Assign op_assign);
private:
/*! \brief
@@ -98621,13 +98710,13 @@ private:
void collapse(Sequence_iterator sink);
};
-/* Automatically generated from PPL source file ../src/Powerset.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_inlines.hh line 1. */
/* Powerset class implementation: inline functions.
*/
#include <algorithm>
-/* Automatically generated from PPL source file ../src/Powerset.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -98830,14 +98919,14 @@ swap(Powerset<D>& x, Powerset<D>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Powerset.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_templates.hh line 1. */
/* Powerset class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Powerset.templates.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_templates.hh line 28. */
#include <algorithm>
-/* Automatically generated from PPL source file ../src/Powerset.templates.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_templates.hh line 30. */
#include <iostream>
namespace Parma_Polyhedra_Library {
@@ -98885,17 +98974,17 @@ Powerset<D>::omega_reduce() const {
bool dropping_xi = false;
for (iterator yi = x.begin(); yi != x.end(); )
if (xi == yi)
- ++yi;
+ ++yi;
else {
- const D& yv = *yi;
- if (yv.definitely_entails(xv))
- yi = x.drop_disjunct(yi);
- else if (xv.definitely_entails(yv)) {
- dropping_xi = true;
- break;
- }
- else
- ++yi;
+ const D& yv = *yi;
+ if (yv.definitely_entails(xv))
+ yi = x.drop_disjunct(yi);
+ else if (xv.definitely_entails(yv)) {
+ dropping_xi = true;
+ break;
+ }
+ else
+ ++yi;
}
if (dropping_xi)
xi = x.drop_disjunct(xi);
@@ -98934,16 +99023,16 @@ template <typename D>
bool
Powerset<D>::check_omega_reduced() const {
for (const_iterator x_begin = begin(), x_end = end(),
- xi = x_begin; xi != x_end; ++xi) {
+ xi = x_begin; xi != x_end; ++xi) {
const D& xv = *xi;
if (xv.is_bottom())
return false;
for (const_iterator yi = x_begin; yi != x_end; ++yi) {
if (xi == yi)
- continue;
+ continue;
const D& yv = *yi;
if (xv.definitely_entails(yv) || yv.definitely_entails(xv))
- return false;
+ return false;
}
}
return true;
@@ -98960,8 +99049,8 @@ Powerset<D>::is_omega_reduced() const {
template <typename D>
typename Powerset<D>::iterator
Powerset<D>::add_non_bottom_disjunct_preserve_reduction(const D& d,
- iterator first,
- iterator last) {
+ iterator first,
+ iterator last) {
PPL_ASSERT_HEAVY(!d.is_bottom());
for (iterator xi = first; xi != last; ) {
const D& xv = *xi;
@@ -98969,7 +99058,7 @@ Powerset<D>::add_non_bottom_disjunct_preserve_reduction(const D& d,
return first;
else if (xv.definitely_entails(d)) {
if (xi == first)
- ++first;
+ ++first;
xi = drop_disjunct(xi);
}
else
@@ -98986,10 +99075,10 @@ Powerset<D>::definitely_entails(const Powerset& y) const {
const Powerset<D>& x = *this;
bool found = true;
for (const_iterator xi = x.begin(),
- x_end = x.end(); found && xi != x_end; ++xi) {
+ x_end = x.end(); found && xi != x_end; ++xi) {
found = false;
for (const_iterator yi = y.begin(),
- y_end = y.end(); !found && yi != y_end; ++yi)
+ y_end = y.end(); !found && yi != y_end; ++yi)
found = (*xi).definitely_entails(*yi);
}
return found;
@@ -99006,7 +99095,7 @@ operator==(const Powerset<D>& x, const Powerset<D>& y) {
// Take a copy of `y' and work with it.
Powerset<D> z = y;
for (typename Powerset<D>::const_iterator xi = x.begin(),
- x_end = x.end(); xi != x_end; ++xi) {
+ x_end = x.end(); xi != x_end; ++xi) {
typename Powerset<D>::iterator zi = z.begin();
typename Powerset<D>::iterator z_end = z.end();
zi = std::find(zi, z_end, *xi);
@@ -99022,18 +99111,18 @@ template <typename D>
template <typename Binary_Operator_Assign>
void
Powerset<D>::pairwise_apply_assign(const Powerset& y,
- Binary_Operator_Assign op_assign) {
+ Binary_Operator_Assign op_assign) {
// Ensure omega-reduction here, since what follows has quadratic complexity.
omega_reduce();
y.omega_reduce();
Sequence new_sequence;
for (const_iterator xi = begin(), x_end = end(),
- y_begin = y.begin(), y_end = y.end(); xi != x_end; ++xi)
+ y_begin = y.begin(), y_end = y.end(); xi != x_end; ++xi)
for (const_iterator yi = y_begin; yi != y_end; ++yi) {
D zi = *xi;
op_assign(zi, *yi);
if (!zi.is_bottom())
- new_sequence.push_back(zi);
+ new_sequence.push_back(zi);
}
// Put the new sequence in place.
using std::swap;
@@ -99052,8 +99141,8 @@ Powerset<D>::least_upper_bound_assign(const Powerset& y) {
iterator old_end = end();
for (const_iterator i = y.begin(), y_end = y.end(); i != y_end; ++i)
old_begin = add_non_bottom_disjunct_preserve_reduction(*i,
- old_begin,
- old_end);
+ old_begin,
+ old_end);
PPL_ASSERT_HEAVY(OK());
}
@@ -99069,11 +99158,11 @@ operator<<(std::ostream& s, const Powerset<D>& x) {
s << "true";
else
for (typename Powerset<D>::const_iterator i = x.begin(),
- x_end = x.end(); i != x_end; ) {
+ x_end = x.end(); i != x_end; ) {
s << "{ " << *i << " }";
++i;
if (i != x_end)
- s << ", ";
+ s << ", ";
}
return s;
}
@@ -99103,7 +99192,7 @@ Powerset<D>::OK(const bool disallow_bottom) const {
if (disallow_bottom && xi->is_bottom()) {
#ifndef NDEBUG
std::cerr << "Bottom element in powerset!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -99111,7 +99200,7 @@ Powerset<D>::OK(const bool disallow_bottom) const {
if (reduced && !check_omega_reduced()) {
#ifndef NDEBUG
std::cerr << "Powerset claims to be reduced, but it is not!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -99120,25 +99209,24 @@ Powerset<D>::OK(const bool disallow_bottom) const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Powerset.defs.hh line 449. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Powerset_defs.hh line 449. */
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.defs.hh line 44. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_defs.hh line 44. */
#include <iosfwd>
#include <list>
#include <map>
//! The powerset construction instantiated on PPL pointset domains.
-/*! \ingroup PPL_CXX_interface */
-/*!
+/*! \ingroup PPL_CXX_interface
\warning
At present, the supported instantiations for the
disjunct domain template \p PSET are the simple pointset domains:
<CODE>C_Polyhedron</CODE>,
<CODE>NNC_Polyhedron</CODE>,
<CODE>Grid</CODE>,
- <CODE>Octagonal_Shape<T></CODE>,
- <CODE>BD_Shape<T></CODE>,
- <CODE>Box<T></CODE>.
+ <CODE>Octagonal_Shape\<T\></CODE>,
+ <CODE>BD_Shape\<T\></CODE>,
+ <CODE>Box\<T\></CODE>.
*/
template <typename PSET>
class Parma_Polyhedra_Library::Pointset_Powerset
@@ -99168,7 +99256,7 @@ public:
*/
explicit
Pointset_Powerset(dimension_type num_dimensions = 0,
- Degenerate_Element kind = UNIVERSE);
+ Degenerate_Element kind = UNIVERSE);
//! Ordinary copy constructor.
/*!
@@ -99448,7 +99536,7 @@ public:
and \p maximum are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -99479,8 +99567,8 @@ public:
and \p g are left untouched.
*/
bool maximize(const Linear_Expression& expr,
- Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
- Generator& g) const;
+ Coefficient& sup_n, Coefficient& sup_d, bool& maximum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this is not empty
@@ -99507,7 +99595,7 @@ public:
and \p minimum are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum) const;
/*! \brief
@@ -99539,8 +99627,8 @@ public:
and \p g are left untouched.
*/
bool minimize(const Linear_Expression& expr,
- Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
- Generator& g) const;
+ Coefficient& inf_n, Coefficient& inf_d, bool& minimum,
+ Generator& g) const;
/*! \brief
Returns <CODE>true</CODE> if and only if \p *this geometrically
@@ -99850,9 +99938,9 @@ public:
\p *this.
*/
void affine_image(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the
@@ -99876,9 +99964,9 @@ public:
\p *this.
*/
void affine_preimage(Variable var,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -99907,10 +99995,10 @@ public:
relation symbol.
*/
void generalized_affine_image(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -99940,10 +100028,10 @@ public:
*/
void
generalized_affine_preimage(Variable var,
- Relation_Symbol relsym,
- const Linear_Expression& expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ Relation_Symbol relsym,
+ const Linear_Expression& expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the image of \p *this with respect to the
@@ -99966,8 +100054,8 @@ public:
relation symbol.
*/
void generalized_affine_image(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*! \brief
Assigns to \p *this the preimage of \p *this with respect to the
@@ -99990,8 +100078,8 @@ public:
relation symbol.
*/
void generalized_affine_preimage(const Linear_Expression& lhs,
- Relation_Symbol relsym,
- const Linear_Expression& rhs);
+ Relation_Symbol relsym,
+ const Linear_Expression& rhs);
/*!
\brief
@@ -100020,10 +100108,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_image(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*!
\brief
@@ -100052,10 +100140,10 @@ public:
dimension of \p *this.
*/
void bounded_affine_preimage(Variable var,
- const Linear_Expression& lb_expr,
- const Linear_Expression& ub_expr,
- Coefficient_traits::const_reference denominator
- = Coefficient_one());
+ const Linear_Expression& lb_expr,
+ const Linear_Expression& ub_expr,
+ Coefficient_traits::const_reference denominator
+ = Coefficient_one());
/*! \brief
Assigns to \p *this the result of computing the
@@ -100160,8 +100248,8 @@ public:
*/
template <typename Widening>
void BGP99_extrapolation_assign(const Pointset_Powerset& y,
- Widening widen_fun,
- unsigned max_disjuncts);
+ Widening widen_fun,
+ unsigned max_disjuncts);
/*! \brief
Assigns to \p *this the result of computing the
@@ -100366,7 +100454,7 @@ private:
//! Records in \p cert_ms the certificates for this set of disjuncts.
template <typename Cert>
void collect_certificates(std::map<Cert, size_type,
- typename Cert::Compare>& cert_ms) const;
+ typename Cert::Compare>& cert_ms) const;
/*! \brief
Returns <CODE>true</CODE> if and only if the current set of disjuncts
@@ -100375,7 +100463,7 @@ private:
template <typename Cert>
bool is_cert_multiset_stabilizing(const std::map<Cert, size_type,
typename Cert::Compare>&
- y_cert_ms) const;
+ y_cert_ms) const;
// FIXME: here it should be enough to befriend the template constructor
// template <typename QH>
@@ -100423,7 +100511,7 @@ linear_partition(const PSET& p, const PSET& q);
*/
bool
check_containment(const NNC_Polyhedron& ph,
- const Pointset_Powerset<NNC_Polyhedron>& ps);
+ const Pointset_Powerset<NNC_Polyhedron>& ps);
/*! \brief
@@ -100458,7 +100546,7 @@ approximate_partition(const Grid& p, const Grid& q, bool& finite_partition);
*/
bool
check_containment(const Grid& ph,
- const Pointset_Powerset<Grid>& ps);
+ const Pointset_Powerset<Grid>& ps);
/*! \brief
Returns <CODE>true</CODE> if and only if the union of
@@ -100526,12 +100614,12 @@ Pointset_Powerset<Grid>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_inlines.hh line 1. */
/* Pointset_Powerset class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.inlines.hh line 35. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_inlines.hh line 35. */
#include <algorithm>
#include <deque>
@@ -100552,7 +100640,7 @@ Pointset_Powerset<PSET>::max_space_dimension() {
template <typename PSET>
inline
Pointset_Powerset<PSET>::Pointset_Powerset(dimension_type num_dimensions,
- Degenerate_Element kind)
+ Degenerate_Element kind)
: Base(), space_dim(num_dimensions) {
Pointset_Powerset& x = *this;
if (kind == UNIVERSE)
@@ -100563,14 +100651,14 @@ Pointset_Powerset<PSET>::Pointset_Powerset(dimension_type num_dimensions,
template <typename PSET>
inline
Pointset_Powerset<PSET>::Pointset_Powerset(const Pointset_Powerset& y,
- Complexity_Class)
+ Complexity_Class)
: Base(y), space_dim(y.space_dim) {
}
template <typename PSET>
inline
Pointset_Powerset<PSET>::Pointset_Powerset(const C_Polyhedron& ph,
- Complexity_Class complexity)
+ Complexity_Class complexity)
: Base(), space_dim(ph.space_dimension()) {
Pointset_Powerset& x = *this;
if (complexity == ANY_COMPLEXITY) {
@@ -100587,7 +100675,7 @@ Pointset_Powerset<PSET>::Pointset_Powerset(const C_Polyhedron& ph,
template <typename PSET>
inline
Pointset_Powerset<PSET>::Pointset_Powerset(const NNC_Polyhedron& ph,
- Complexity_Class complexity)
+ Complexity_Class complexity)
: Base(), space_dim(ph.space_dimension()) {
Pointset_Powerset& x = *this;
if (complexity == ANY_COMPLEXITY) {
@@ -100603,7 +100691,7 @@ Pointset_Powerset<PSET>::Pointset_Powerset(const NNC_Polyhedron& ph,
template <typename PSET>
inline
Pointset_Powerset<PSET>::Pointset_Powerset(const Grid& gr,
- Complexity_Class)
+ Complexity_Class)
: Base(), space_dim(gr.space_dimension()) {
Pointset_Powerset& x = *this;
if (!gr.is_empty()) {
@@ -100634,7 +100722,7 @@ Pointset_Powerset<PSET>
template <typename PSET>
template <typename Interval>
Pointset_Powerset<PSET>::Pointset_Powerset(const Box<Interval>& box,
- Complexity_Class)
+ Complexity_Class)
: Base(), space_dim(box.space_dimension()) {
Pointset_Powerset& x = *this;
if (!box.is_empty())
@@ -100645,7 +100733,7 @@ Pointset_Powerset<PSET>::Pointset_Powerset(const Box<Interval>& box,
template <typename PSET>
template <typename T>
Pointset_Powerset<PSET>::Pointset_Powerset(const Octagonal_Shape<T>& os,
- Complexity_Class)
+ Complexity_Class)
: Base(), space_dim(os.space_dimension()) {
Pointset_Powerset& x = *this;
if (!os.is_empty())
@@ -100656,7 +100744,7 @@ Pointset_Powerset<PSET>::Pointset_Powerset(const Octagonal_Shape<T>& os,
template <typename PSET>
template <typename T>
Pointset_Powerset<PSET>::Pointset_Powerset(const BD_Shape<T>& bds,
- Complexity_Class)
+ Complexity_Class)
: Base(), space_dim(bds.space_dimension()) {
Pointset_Powerset& x = *this;
if (!bds.is_empty())
@@ -100803,9 +100891,9 @@ check_containment(const PSET& ph, const Pointset_Powerset<PSET>& ps) {
template <>
inline bool
check_containment(const C_Polyhedron& ph,
- const Pointset_Powerset<C_Polyhedron>& ps) {
+ const Pointset_Powerset<C_Polyhedron>& ps) {
return check_containment(NNC_Polyhedron(ph),
- Pointset_Powerset<NNC_Polyhedron>(ps));
+ Pointset_Powerset<NNC_Polyhedron>(ps));
}
/*! \relates Pointset_Powerset */
@@ -100817,12 +100905,12 @@ swap(Pointset_Powerset<PSET>& x, Pointset_Powerset<PSET>& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_templates.hh line 1. */
/* Pointset_Powerset class implementation: non-inline template functions.
*/
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.templates.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_templates.hh line 33. */
#include <algorithm>
#include <deque>
#include <string>
@@ -100856,9 +100944,9 @@ Pointset_Powerset<NNC_Polyhedron>
: Base(), space_dim(y.space_dimension()) {
Pointset_Powerset& x = *this;
for (typename Pointset_Powerset<QH>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
+ y_end = y.end(); i != y_end; ++i)
x.sequence.push_back(Determinate<NNC_Polyhedron>
- (NNC_Polyhedron(i->pointset(), complexity)));
+ (NNC_Polyhedron(i->pointset(), complexity)));
// FIXME: If the domain elements can be represented _exactly_ as NNC
// polyhedra, then having x.reduced = y.reduced is correct. This is
@@ -100882,7 +100970,7 @@ Pointset_Powerset<PSET>
: Base(), space_dim(y.space_dimension()) {
Pointset_Powerset& x = *this;
for (typename Pointset_Powerset<QH>::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
+ y_end = y.end(); i != y_end; ++i)
x.sequence.push_back(Determinate<PSET>(PSET(i->pointset(), complexity)));
// Note: this might be non-reduced even when `y' is known to be
// omega-reduced, because the constructor of PSET may have made
@@ -100900,7 +100988,7 @@ Pointset_Powerset<PSET>::concatenate_assign(const Pointset_Powerset& y) {
y.omega_reduce();
Pointset_Powerset<PSET> new_x(x.space_dim + y.space_dim, EMPTY);
for (const_iterator xi = x.begin(), x_end = x.end(),
- y_begin = y.begin(), y_end = y.end(); xi != x_end; ) {
+ y_begin = y.begin(), y_end = y.end(); xi != x_end; ) {
for (const_iterator yi = y_begin; yi != y_end; ++yi) {
Det_PSET zi = *xi;
zi.concatenate_assign(*yi);
@@ -100913,11 +101001,11 @@ Pointset_Powerset<PSET>::concatenate_assign(const Pointset_Powerset& y) {
// Hurry up!
PSET x_ph = xi->pointset();
for (++xi; xi != x_end; ++xi)
- x_ph.upper_bound_assign(xi->pointset());
+ x_ph.upper_bound_assign(xi->pointset());
const_iterator yi = y_begin;
PSET y_ph = yi->pointset();
for (++yi; yi != y_end; ++yi)
- y_ph.upper_bound_assign(yi->pointset());
+ y_ph.upper_bound_assign(yi->pointset());
x_ph.concatenate_assign(y_ph);
swap(x, new_x);
x.add_disjunct(x_ph);
@@ -100934,7 +101022,7 @@ void
Pointset_Powerset<PSET>::add_constraint(const Constraint& c) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().add_constraint(c);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -100945,7 +101033,7 @@ void
Pointset_Powerset<PSET>::refine_with_constraint(const Constraint& c) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().refine_with_constraint(c);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -100956,7 +101044,7 @@ void
Pointset_Powerset<PSET>::add_constraints(const Constraint_System& cs) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().add_constraints(cs);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -100967,7 +101055,7 @@ void
Pointset_Powerset<PSET>::refine_with_constraints(const Constraint_System& cs) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().refine_with_constraints(cs);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -100978,7 +101066,7 @@ void
Pointset_Powerset<PSET>::add_congruence(const Congruence& cg) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().add_congruence(cg);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -100989,7 +101077,7 @@ void
Pointset_Powerset<PSET>::refine_with_congruence(const Congruence& cg) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().refine_with_congruence(cg);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -101000,7 +101088,7 @@ void
Pointset_Powerset<PSET>::add_congruences(const Congruence_System& cgs) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().add_congruences(cgs);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -101011,7 +101099,7 @@ void
Pointset_Powerset<PSET>::refine_with_congruences(const Congruence_System& cgs) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().refine_with_congruences(cgs);
x.reduced = false;
PPL_ASSERT_HEAVY(x.OK());
@@ -101046,7 +101134,7 @@ void
Pointset_Powerset<PSET>::add_space_dimensions_and_embed(dimension_type m) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().add_space_dimensions_and_embed(m);
x.space_dim += m;
PPL_ASSERT_HEAVY(x.OK());
@@ -101057,7 +101145,7 @@ void
Pointset_Powerset<PSET>::add_space_dimensions_and_project(dimension_type m) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().add_space_dimensions_and_project(m);
x.space_dim += m;
PPL_ASSERT_HEAVY(x.OK());
@@ -101070,7 +101158,7 @@ Pointset_Powerset<PSET>::remove_space_dimensions(const Variables_Set& vars) {
Variables_Set::size_type num_removed = vars.size();
if (num_removed > 0) {
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
+ s_end = x.sequence.end(); si != s_end; ++si) {
si->pointset().remove_space_dimensions(vars);
x.reduced = false;
}
@@ -101086,7 +101174,7 @@ Pointset_Powerset<PSET>
Pointset_Powerset& x = *this;
if (new_dimension < x.space_dim) {
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si) {
+ s_end = x.sequence.end(); si != s_end; ++si) {
si->pointset().remove_higher_space_dimensions(new_dimension);
x.reduced = false;
}
@@ -101105,14 +101193,14 @@ Pointset_Powerset<PSET>::map_space_dimensions(const Partial_Function& pfunc) {
for (dimension_type i = x.space_dim; i-- > 0; ) {
dimension_type new_i;
if (pfunc.maps(i, new_i))
- ++n;
+ ++n;
}
x.space_dim = n;
}
else {
Sequence_iterator s_begin = x.sequence.begin();
for (Sequence_iterator si = s_begin,
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().map_space_dimensions(pfunc);
x.space_dim = s_begin->pointset().space_dimension();
x.reduced = false;
@@ -101422,7 +101510,7 @@ template <typename PSET>
void
Pointset_Powerset<PSET>
::drop_some_non_integer_points(const Variables_Set& vars,
- Complexity_Class complexity) {
+ Complexity_Class complexity) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
s_end = x.sequence.end(); si != s_end; ++si)
@@ -101962,7 +102050,7 @@ Pointset_Powerset<PSET>::wrap_assign(const Variables_Set& vars,
bool wrap_individually) {
Pointset_Powerset& x = *this;
for (Sequence_iterator si = x.sequence.begin(),
- s_end = x.sequence.end(); si != s_end; ++si)
+ s_end = x.sequence.end(); si != s_end; ++si)
si->pointset().wrap_assign(vars, w, r, o, cs_p,
complexity_threshold, wrap_individually);
x.reduced = false;
@@ -101987,21 +102075,21 @@ Pointset_Powerset<PSET>::pairwise_reduce() {
unsigned si_index = 0;
for (Sequence_iterator si = s_begin; si != s_end; ++si, ++si_index) {
if (marked[si_index])
- continue;
+ continue;
PSET& pi = si->pointset();
Sequence_const_iterator sj = si;
unsigned sj_index = si_index;
for (++sj, ++sj_index; sj != s_end; ++sj, ++sj_index) {
- if (marked[sj_index])
- continue;
- const PSET& pj = sj->pointset();
- if (pi.upper_bound_assign_if_exact(pj)) {
- marked[si_index] = true;
+ if (marked[sj_index])
+ continue;
+ const PSET& pj = sj->pointset();
+ if (pi.upper_bound_assign_if_exact(pj)) {
+ marked[si_index] = true;
marked[sj_index] = true;
- new_x.add_non_bottom_disjunct_preserve_reduction(pi);
- ++deleted;
- goto next;
- }
+ new_x.add_non_bottom_disjunct_preserve_reduction(pi);
+ ++deleted;
+ goto next;
+ }
}
next:
;
@@ -102010,9 +102098,9 @@ Pointset_Powerset<PSET>::pairwise_reduce() {
iterator new_x_end = new_x.end();
unsigned xi_index = 0;
for (const_iterator xi = x.begin(),
- x_end = x.end(); xi != x_end; ++xi, ++xi_index)
+ x_end = x.end(); xi != x_end; ++xi, ++xi_index)
if (!marked[xi_index])
- new_x_begin
+ new_x_begin
= new_x.add_non_bottom_disjunct_preserve_reduction(*xi,
new_x_begin,
new_x_end);
@@ -102047,15 +102135,15 @@ BGP99_heuristics_assign(const Pointset_Powerset& y, Widening widen_fun) {
const_iterator x_end = x.end();
unsigned i_index = 0;
for (const_iterator i = x_begin,
- y_begin = y.begin(), y_end = y.end(); i != x_end; ++i, ++i_index)
+ y_begin = y.begin(), y_end = y.end(); i != x_end; ++i, ++i_index)
for (const_iterator j = y_begin; j != y_end; ++j) {
const PSET& pi = i->pointset();
const PSET& pj = j->pointset();
if (pi.contains(pj)) {
- PSET pi_copy = pi;
- widen_fun(pi_copy, pj);
- new_x.add_non_bottom_disjunct_preserve_reduction(pi_copy);
- marked[i_index] = true;
+ PSET pi_copy = pi;
+ widen_fun(pi_copy, pj);
+ new_x.add_non_bottom_disjunct_preserve_reduction(pi_copy);
+ marked[i_index] = true;
}
}
iterator new_x_begin = new_x.begin();
@@ -102078,8 +102166,8 @@ template <typename Widening>
void
Pointset_Powerset<PSET>::
BGP99_extrapolation_assign(const Pointset_Powerset& y,
- Widening widen_fun,
- unsigned max_disjuncts) {
+ Widening widen_fun,
+ unsigned max_disjuncts) {
// `x' is the current iteration value.
Pointset_Powerset& x = *this;
@@ -102122,11 +102210,10 @@ is_cert_multiset_stabilizing(const std::map<Cert, size_type,
typedef std::map<Cert, size_type, typename Cert::Compare> Cert_Multiset;
Cert_Multiset x_cert_ms;
collect_certificates(x_cert_ms);
- typename Cert_Multiset::const_iterator
- xi = x_cert_ms.begin(),
- x_cert_ms_end = x_cert_ms.end(),
- yi = y_cert_ms.begin(),
- y_cert_ms_end = y_cert_ms.end();
+ typename Cert_Multiset::const_iterator xi = x_cert_ms.begin();
+ typename Cert_Multiset::const_iterator x_cert_ms_end = x_cert_ms.end();
+ typename Cert_Multiset::const_iterator yi = y_cert_ms.begin();
+ typename Cert_Multiset::const_iterator y_cert_ms_end = y_cert_ms.end();
while (xi != x_cert_ms_end && yi != y_cert_ms_end) {
const Cert& xi_cert = xi->first;
const Cert& yi_cert = yi->first;
@@ -102134,17 +102221,17 @@ is_cert_multiset_stabilizing(const std::map<Cert, size_type,
case 0:
// xi_cert == yi_cert: check the number of multiset occurrences.
{
- const size_type& xi_count = xi->second;
- const size_type& yi_count = yi->second;
- if (xi_count == yi_count) {
- // Same number of occurrences: compare the next pair.
- ++xi;
- ++yi;
- }
- else
- // Different number of occurrences: can decide ordering.
- return xi_count < yi_count;
- break;
+ const size_type& xi_count = xi->second;
+ const size_type& yi_count = yi->second;
+ if (xi_count == yi_count) {
+ // Same number of occurrences: compare the next pair.
+ ++xi;
+ ++yi;
+ }
+ else
+ // Different number of occurrences: can decide ordering.
+ return xi_count < yi_count;
+ break;
}
case 1:
// xi_cert > yi_cert: it is not stabilizing.
@@ -102226,7 +102313,7 @@ Pointset_Powerset<PSET>::BHZ03_widening_assign(const Pointset_Powerset& y,
// Compute the poly-hull of `bgp99_heuristics'.
PSET bgp99_heuristics_hull(x.space_dim, EMPTY);
for (const_iterator i = bgp99_heuristics.begin(),
- b_h_end = bgp99_heuristics.end(); i != b_h_end; ++i)
+ b_h_end = bgp99_heuristics.end(); i != b_h_end; ++i)
bgp99_heuristics_hull.upper_bound_assign(i->pointset());
// Check for stabilization and, if successful,
@@ -102333,9 +102420,9 @@ Pointset_Powerset<PSET>::OK() const {
if (pi.space_dimension() != x.space_dim) {
#ifndef NDEBUG
std::cerr << "Space dimension mismatch: is " << pi.space_dimension()
- << " in an element of the sequence,\nshould be "
- << x.space_dim << "."
- << std::endl;
+ << " in an element of the sequence,\nshould be "
+ << x.space_dim << "."
+ << std::endl;
#endif
return false;
}
@@ -102358,9 +102445,9 @@ namespace Pointset_Powersets {
template <typename PSET>
void
linear_partition_aux(const Constraint& c,
- PSET& pset,
- Pointset_Powerset<NNC_Polyhedron>& r) {
- Linear_Expression le(c);
+ PSET& pset,
+ Pointset_Powerset<NNC_Polyhedron>& r) {
+ const Linear_Expression le(c.expression());
const Constraint& neg_c = c.is_strict_inequality() ? (le <= 0) : (le < 0);
NNC_Polyhedron nnc_ph_pset(pset);
nnc_ph_pset.add_constraint(neg_c);
@@ -102384,12 +102471,12 @@ linear_partition(const PSET& p, const PSET& q) {
PSET pset = q;
const Constraint_System& p_constraints = p.constraints();
for (Constraint_System::const_iterator i = p_constraints.begin(),
- p_constraints_end = p_constraints.end();
+ p_constraints_end = p_constraints.end();
i != p_constraints_end;
++i) {
const Constraint& c = *i;
if (c.is_equality()) {
- Linear_Expression le(c);
+ const Linear_Expression le(c.expression());
linear_partition_aux(le <= 0, pset, r);
linear_partition_aux(le >= 0, pset, r);
}
@@ -102401,11 +102488,11 @@ linear_partition(const PSET& p, const PSET& q) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pointset_Powerset.defs.hh line 1449. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pointset_Powerset_defs.hh line 1448. */
-/* Automatically generated from PPL source file ../src/algorithms.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/algorithms.hh line 29. */
#include <utility>
-/* Automatically generated from PPL source file ../src/algorithms.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/algorithms.hh line 31. */
namespace Parma_Polyhedra_Library {
@@ -102447,14 +102534,14 @@ poly_hull_assign_if_exact(PH& p, const PH& q) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/termination.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_defs.hh line 1. */
/* Utilities for termination analysis: declarations.
*/
-/* Automatically generated from PPL source file ../src/termination.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_defs.hh line 28. */
-/* Automatically generated from PPL source file ../src/termination.defs.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_defs.hh line 33. */
namespace Parma_Polyhedra_Library {
@@ -102485,7 +102572,7 @@ public:
//! \name Functions for the Synthesis of Linear Rankings
//@{
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Termination test using an improvement of the method by Mesnard and
Serebrenik \ref BMPZ10 "[BMPZ10]".
@@ -102518,7 +102605,7 @@ template <typename PSET>
bool
termination_test_MS(const PSET& pset);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Termination test using an improvement of the method by Mesnard and
Serebrenik \ref BMPZ10 "[BMPZ10]".
@@ -102560,7 +102647,7 @@ template <typename PSET>
bool
termination_test_MS_2(const PSET& pset_before, const PSET& pset_after);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Termination test with witness ranking function using an improvement
of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
@@ -102602,7 +102689,7 @@ template <typename PSET>
bool
one_affine_ranking_function_MS(const PSET& pset, Generator& mu);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Termination test with witness ranking function using an improvement
of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
@@ -102652,10 +102739,10 @@ one_affine_ranking_function_MS(const PSET& pset, Generator& mu);
template <typename PSET>
bool
one_affine_ranking_function_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu);
+ const PSET& pset_after,
+ Generator& mu);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Termination test with ranking function space using an improvement
of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
@@ -102697,7 +102784,7 @@ template <typename PSET>
void
all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Termination test with ranking function space using an improvement
of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
@@ -102747,10 +102834,10 @@ all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space);
template <typename PSET>
void
all_affine_ranking_functions_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- C_Polyhedron& mu_space);
+ const PSET& pset_after,
+ C_Polyhedron& mu_space);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Computes the spaces of affine \e quasi ranking functions
using an improvement of the method by Mesnard and Serebrenik
\ref BMPZ10 "[BMPZ10]".
@@ -102802,7 +102889,7 @@ all_affine_quasi_ranking_functions_MS(const PSET& pset,
C_Polyhedron& decreasing_mu_space,
C_Polyhedron& bounded_mu_space);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Computes the spaces of affine \e quasi ranking functions
using an improvement of the method by Mesnard and Serebrenik
\ref BMPZ10 "[BMPZ10]".
@@ -102864,7 +102951,7 @@ all_affine_quasi_ranking_functions_MS_2(const PSET& pset_before,
C_Polyhedron& decreasing_mu_space,
C_Polyhedron& bounded_mu_space);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Like termination_test_MS() but using the method by Podelski and
Rybalchenko \ref BMPZ10 "[BMPZ10]".
*/
@@ -102872,7 +102959,7 @@ template <typename PSET>
bool
termination_test_PR(const PSET& pset);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Like termination_test_MS_2() but using an alternative formalization
of the method by Podelski and Rybalchenko \ref BMPZ10 "[BMPZ10]".
*/
@@ -102880,7 +102967,7 @@ template <typename PSET>
bool
termination_test_PR_2(const PSET& pset_before, const PSET& pset_after);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Like one_affine_ranking_function_MS() but using the method by Podelski
and Rybalchenko \ref BMPZ10 "[BMPZ10]".
*/
@@ -102888,7 +102975,7 @@ template <typename PSET>
bool
one_affine_ranking_function_PR(const PSET& pset, Generator& mu);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Like one_affine_ranking_function_MS_2() but using an alternative
formalization of the method by Podelski and Rybalchenko
\ref BMPZ10 "[BMPZ10]".
@@ -102896,10 +102983,10 @@ one_affine_ranking_function_PR(const PSET& pset, Generator& mu);
template <typename PSET>
bool
one_affine_ranking_function_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu);
+ const PSET& pset_after,
+ Generator& mu);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Like all_affine_ranking_functions_MS() but using the method by Podelski
and Rybalchenko \ref BMPZ10 "[BMPZ10]".
*/
@@ -102907,7 +102994,7 @@ template <typename PSET>
void
all_affine_ranking_functions_PR(const PSET& pset, NNC_Polyhedron& mu_space);
-/*! \brief \ingroup PPL_CXX_interface
+/*! \ingroup PPL_CXX_interface \brief
Like all_affine_ranking_functions_MS_2() but using an alternative
formalization of the method by Podelski and Rybalchenko
\ref BMPZ10 "[BMPZ10]".
@@ -102915,19 +103002,19 @@ all_affine_ranking_functions_PR(const PSET& pset, NNC_Polyhedron& mu_space);
template <typename PSET>
void
all_affine_ranking_functions_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- NNC_Polyhedron& mu_space);
+ const PSET& pset_after,
+ NNC_Polyhedron& mu_space);
//@} // Functions for the Synthesis of Linear Rankings
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/termination.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_templates.hh line 1. */
/* Utilities for termination analysis: template functions.
*/
-/* Automatically generated from PPL source file ../src/termination.templates.hh line 33. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_templates.hh line 33. */
#include <stdexcept>
@@ -102991,7 +103078,7 @@ output_function_MS(std::ostream& s, const Variable v) {
else if (id == output_function_MS_n)
s << "mu0";
else if (output_function_MS_which == 2
- && id <= output_function_MS_n + output_function_MS_m + 2)
+ && id <= output_function_MS_n + output_function_MS_m + 2)
s << "z" << id - output_function_MS_n;
else
s << "WHAT?";
@@ -103037,30 +103124,30 @@ output_function_PR(std::ostream& s, const Variable v) {
void
assign_all_inequalities_approximation(const Constraint_System& cs_in,
- Constraint_System& cs_out);
+ Constraint_System& cs_out);
template <typename PSET>
inline void
assign_all_inequalities_approximation(const PSET& pset,
- Constraint_System& cs) {
+ Constraint_System& cs) {
assign_all_inequalities_approximation(pset.minimized_constraints(), cs);
}
template <>
void
assign_all_inequalities_approximation(const C_Polyhedron& ph,
- Constraint_System& cs);
+ Constraint_System& cs);
bool
termination_test_MS(const Constraint_System& cs);
bool
one_affine_ranking_function_MS(const Constraint_System& cs,
- Generator& mu);
+ Generator& mu);
void
all_affine_ranking_functions_MS(const Constraint_System& cs,
- C_Polyhedron& mu_space);
+ C_Polyhedron& mu_space);
void
all_affine_quasi_ranking_functions_MS(const Constraint_System& cs,
@@ -103069,17 +103156,17 @@ all_affine_quasi_ranking_functions_MS(const Constraint_System& cs,
bool
termination_test_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after);
+ const Constraint_System& cs_after);
bool
one_affine_ranking_function_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- Generator& mu);
+ const Constraint_System& cs_after,
+ Generator& mu);
void
all_affine_ranking_functions_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- NNC_Polyhedron& mu_space);
+ const Constraint_System& cs_after,
+ NNC_Polyhedron& mu_space);
bool
termination_test_PR_original(const Constraint_System& cs);
@@ -103174,8 +103261,8 @@ one_affine_ranking_function_MS(const PSET& pset, Generator& mu) {
template <typename PSET>
bool
one_affine_ranking_function_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu) {
+ const PSET& pset_after,
+ Generator& mu) {
const dimension_type before_space_dim = pset_before.space_dimension();
const dimension_type after_space_dim = pset_after.space_dimension();
if (after_space_dim != 2*before_space_dim) {
@@ -103220,8 +103307,8 @@ all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space) {
template <typename PSET>
void
all_affine_ranking_functions_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- C_Polyhedron& mu_space) {
+ const PSET& pset_after,
+ C_Polyhedron& mu_space) {
const dimension_type before_space_dim = pset_before.space_dimension();
const dimension_type after_space_dim = pset_after.space_dimension();
if (after_space_dim != 2*before_space_dim) {
@@ -103351,8 +103438,8 @@ termination_test_PR(const PSET& pset) {
template <typename PSET>
bool
one_affine_ranking_function_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu) {
+ const PSET& pset_after,
+ Generator& mu) {
const dimension_type before_space_dim = pset_before.space_dimension();
const dimension_type after_space_dim = pset_after.space_dimension();
if (after_space_dim != 2*before_space_dim) {
@@ -103394,8 +103481,8 @@ one_affine_ranking_function_PR(const PSET& pset, Generator& mu) {
template <typename PSET>
void
all_affine_ranking_functions_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- NNC_Polyhedron& mu_space) {
+ const PSET& pset_after,
+ NNC_Polyhedron& mu_space) {
const dimension_type before_space_dim = pset_before.space_dimension();
const dimension_type after_space_dim = pset_after.space_dimension();
if (after_space_dim != 2*before_space_dim) {
@@ -103424,7 +103511,7 @@ all_affine_ranking_functions_PR_2(const PSET& pset_before,
template <typename PSET>
void
all_affine_ranking_functions_PR(const PSET& pset,
- NNC_Polyhedron& mu_space) {
+ NNC_Polyhedron& mu_space) {
const dimension_type space_dim = pset.space_dimension();
if (space_dim % 2 != 0) {
std::ostringstream s;
@@ -103447,14 +103534,14 @@ all_affine_ranking_functions_PR(const PSET& pset,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/termination.defs.hh line 501. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/termination_defs.hh line 501. */
-/* Automatically generated from PPL source file ../src/wrap_string.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/wrap_string.hh line 1. */
/* Declaration of string wrapping function.
*/
-/* Automatically generated from PPL source file ../src/wrap_string.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/wrap_string.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -103479,21 +103566,21 @@ namespace IO_Operators {
*/
std::string
wrap_string(const std::string& src_string,
- unsigned indent_depth,
- unsigned preferred_first_line_length,
- unsigned preferred_line_length);
+ unsigned indent_depth,
+ unsigned preferred_first_line_length,
+ unsigned preferred_line_length);
} // namespace IO_Operators
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Cast_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -103503,7 +103590,7 @@ class Cast_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -103639,7 +103726,7 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Cast_Floating_Point_Expression(
- const Cast_Floating_Point_Expression& y);
+ const Cast_Floating_Point_Expression& y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
/*! \brief
@@ -103647,18 +103734,18 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAIL
Cast_Floating_Point_Expression& operator=(
- const Cast_Floating_Point_Expression& y);
+ const Cast_Floating_Point_Expression& y);
}; // class Cast_Floating_Point_Expression
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_inlines.hh line 1. */
/* Cast_Floating_Point_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -103695,9 +103782,9 @@ swap(Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.defs.hh line 181. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_defs.hh line 181. */
-/* Automatically generated from PPL source file ../src/Cast_Floating_Point_Expression.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Cast_Floating_Point_Expression_templates.hh line 1. */
/* Cast_Floating_Point_Expression class implementation:
non-inline template functions.
*/
@@ -103721,13 +103808,13 @@ bool Cast_Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constant_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constant_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Constant_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Constant_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constant_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -103737,7 +103824,7 @@ class Constant_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constant_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constant_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -103864,7 +103951,7 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Constant_Floating_Point_Expression(
- const Constant_Floating_Point_Expression& y);
+ const Constant_Floating_Point_Expression& y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
/*! \brief
@@ -103872,18 +103959,18 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAIL
Constant_Floating_Point_Expression& operator=(
- const Constant_Floating_Point_Expression& y);
+ const Constant_Floating_Point_Expression& y);
}; // class Constant_Floating_Point_Expression
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constant_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constant_Floating_Point_Expression_inlines.hh line 1. */
/* Constant_Floating_Point_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Constant_Floating_Point_Expression.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constant_Floating_Point_Expression_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -103936,15 +104023,15 @@ swap(Constant_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Constant_Floating_Point_Expression.defs.hh line 172. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Constant_Floating_Point_Expression_defs.hh line 172. */
-/* Automatically generated from PPL source file ../src/Variable_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Variable_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Variable_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -103954,7 +104041,7 @@ class Variable_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variable_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_Floating_Point_Expression_defs.hh line 31. */
#include <map>
#include <utility>
@@ -104092,7 +104179,7 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Variable_Floating_Point_Expression(
- const Variable_Floating_Point_Expression& y);
+ const Variable_Floating_Point_Expression& y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
/*! \brief
@@ -104100,7 +104187,7 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Variable_Floating_Point_Expression& operator=(
- const Variable_Floating_Point_Expression& y);
+ const Variable_Floating_Point_Expression& y);
//! The index of the variable.
dimension_type variable_index;
@@ -104109,12 +104196,12 @@ private:
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variable_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_Floating_Point_Expression_inlines.hh line 1. */
/* Variable_Floating_Point_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Variable_Floating_Point_Expression.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_Floating_Point_Expression_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -104181,15 +104268,15 @@ swap(Variable_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Variable_Floating_Point_Expression.defs.hh line 186. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Variable_Floating_Point_Expression_defs.hh line 186. */
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Sum_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -104199,7 +104286,7 @@ class Sum_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -104208,7 +104295,7 @@ namespace Parma_Polyhedra_Library {
/*! \relates Sum_Floating_Point_Expression */
template <typename FP_Interval_Type, typename FP_Format>
void swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+ Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
/*! \brief
A generic Sum Floating Point Expression.
@@ -104314,7 +104401,7 @@ public:
corresponding to \p x \f$\oplus\f$ \p y.
*/
Sum_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
//! Destructor.
@@ -104372,20 +104459,20 @@ private:
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
operator=(const Sum_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
+ FP_Format>& e);
}; // class Sum_Floating_Point_Expression
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_inlines.hh line 1. */
/* Sum_Floating_Point_Expression class implementation: inline
functions.
*/
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -104427,7 +104514,7 @@ swap(Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_templates.hh line 1. */
/* Sum_Floating_Point_Expression class implementation:
non-inline template functions.
*/
@@ -104458,15 +104545,15 @@ bool Sum_Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Sum_Floating_Point_Expression.defs.hh line 212. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Sum_Floating_Point_Expression_defs.hh line 212. */
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Difference_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -104476,7 +104563,7 @@ class Difference_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -104597,7 +104684,7 @@ public:
expression corresponding to \p x \f$\ominus\f$ \p y.
*/
Difference_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
//! Destructor.
@@ -104657,20 +104744,20 @@ private:
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
operator=(const Difference_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
+ FP_Format>& e);
}; // class Difference_Floating_Point_Expression
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_inlines.hh line 1. */
/* Difference_Floating_Point_Expression class implementation: inline
functions.
*/
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -104712,7 +104799,7 @@ swap(Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_templates.hh line 1. */
/* Difference_Floating_Point_Expression class implementation:
non-inline template functions.
*/
@@ -104743,15 +104830,15 @@ bool Difference_Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Difference_Floating_Point_Expression.defs.hh line 220. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Difference_Floating_Point_Expression_defs.hh line 220. */
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Multiplication_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -104761,7 +104848,7 @@ class Multiplication_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -104912,7 +104999,7 @@ public:
expression corresponding to \p x \f$\otimes\f$ \p y.
*/
Multiplication_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const x,
Floating_Point_Expression<FP_Interval_Type, FP_Format>* const y);
//! Destructor.
@@ -104942,7 +105029,7 @@ public:
is computed.
*/
bool linearize(const FP_Interval_Abstract_Store& int_store,
- const FP_Linear_Form_Abstract_Store& lf_store,
+ const FP_Linear_Form_Abstract_Store& lf_store,
FP_Linear_Form& result) const;
//! Swaps \p *this with \p y.
@@ -104972,20 +105059,20 @@ private:
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
operator=(const Multiplication_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
+ FP_Format>& e);
}; // class Multiplication_Floating_Point_Expression
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_inlines.hh line 1. */
/* Multiplication_Floating_Point_Expression class implementation: inline
functions.
*/
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.inlines.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_inlines.hh line 29. */
namespace Parma_Polyhedra_Library {
@@ -105028,7 +105115,7 @@ swap(Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_templates.hh line 1. */
/* Multiplication_Floating_Point_Expression class implementation:
non-inline template functions.
*/
@@ -105115,15 +105202,15 @@ bool Multiplication_Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Multiplication_Floating_Point_Expression.defs.hh line 250. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Multiplication_Floating_Point_Expression_defs.hh line 250. */
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Division_Floating_Point_Expression class and its
constituents.
*/
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105133,7 +105220,7 @@ class Division_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -105142,7 +105229,7 @@ namespace Parma_Polyhedra_Library {
/*! \relates Division_Floating_Point_Expression */
template <typename FP_Interval_Type, typename FP_Format>
void swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
- Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
+ Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& y);
/*! \brief
A generic Division Floating Point Expression.
@@ -105271,7 +105358,7 @@ public:
expression corresponding to \p num \f$\oslash\f$ \p den.
*/
Division_Floating_Point_Expression(
- Floating_Point_Expression<FP_Interval_Type, FP_Format>* const num,
+ Floating_Point_Expression<FP_Interval_Type, FP_Format>* const num,
Floating_Point_Expression<FP_Interval_Type, FP_Format>* const den);
//! Destructor.
@@ -105306,7 +105393,7 @@ public:
//! Swaps \p *this with \p y.
void m_swap(Division_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& y);
+ FP_Format>& y);
private:
@@ -105331,19 +105418,18 @@ private:
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>&
operator=(const Division_Floating_Point_Expression<FP_Interval_Type,
- FP_Format>& e);
-
+ FP_Format>& e);
}; // class Division_Floating_Point_Expression
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_inlines.hh line 1. */
/* Division_Floating_Point_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -105356,7 +105442,7 @@ Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
: first_operand(num), second_operand(den) {
assert(num != 0);
assert(den != 0);
- }
+}
template <typename FP_Interval_Type, typename FP_Format>
inline
@@ -105385,7 +105471,7 @@ swap(Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_templates.hh line 1. */
/* Division_Floating_Point_Expression class implementation:
non-inline template functions.
*/
@@ -105424,15 +105510,15 @@ bool Division_Floating_Point_Expression<FP_Interval_Type, FP_Format>
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Division_Floating_Point_Expression.defs.hh line 237. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Division_Floating_Point_Expression_defs.hh line 236. */
-/* Automatically generated from PPL source file ../src/Opposite_Floating_Point_Expression.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Opposite_Floating_Point_Expression_defs.hh line 1. */
/* Declarations for the Opposite_Floating_Point_Expression class and
its constituents.
*/
-/* Automatically generated from PPL source file ../src/Opposite_Floating_Point_Expression.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Opposite_Floating_Point_Expression_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105442,7 +105528,7 @@ class Opposite_Floating_Point_Expression;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Opposite_Floating_Point_Expression.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Opposite_Floating_Point_Expression_defs.hh line 31. */
#include <map>
namespace Parma_Polyhedra_Library {
@@ -105498,40 +105584,40 @@ class Opposite_Floating_Point_Expression
public:
- /* \brief
- Alias for the Linear_Form<FP_Interval_Type> from
- Floating_Point_Expression
+ /*! \brief
+ Alias for the Linear_Form<FP_Interval_Type> from
+ Floating_Point_Expression
*/
typedef typename
Floating_Point_Expression<FP_Interval_Type, FP_Format>::
FP_Linear_Form FP_Linear_Form;
- /* \brief
- Alias for the std::map<dimension_type, FP_Interval_Type> from
- Floating_Point_Expression.
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Interval_Type> from
+ Floating_Point_Expression.
*/
typedef typename
Floating_Point_Expression<FP_Interval_Type, FP_Format>::
FP_Interval_Abstract_Store FP_Interval_Abstract_Store;
- /* \brief
- Alias for the std::map<dimension_type, FP_Linear_Form> from
- Floating_Point_Expression.
+ /*! \brief
+ Alias for the std::map<dimension_type, FP_Linear_Form> from
+ Floating_Point_Expression.
*/
typedef typename
Floating_Point_Expression<FP_Interval_Type, FP_Format>::
FP_Linear_Form_Abstract_Store FP_Linear_Form_Abstract_Store;
- /* \brief
- Alias for the FP_Interval_Type::boundary_type from
- Floating_Point_Expression.
+ /*! \brief
+ Alias for the FP_Interval_Type::boundary_type from
+ Floating_Point_Expression.
*/
typedef typename
Floating_Point_Expression<FP_Interval_Type, FP_Format>::boundary_type
boundary_type;
- /* \brief
- Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
+ /*! \brief
+ Alias for the FP_Interval_Type::info_type from Floating_Point_Expression.
*/
typedef typename
Floating_Point_Expression<FP_Interval_Type, FP_Format>::info_type info_type;
@@ -105586,7 +105672,7 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Opposite_Floating_Point_Expression(
- const Opposite_Floating_Point_Expression& y);
+ const Opposite_Floating_Point_Expression& y);
#ifdef PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
/*! \brief
@@ -105594,7 +105680,7 @@ private:
*/
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
Opposite_Floating_Point_Expression& operator=(
- const Opposite_Floating_Point_Expression& y);
+ const Opposite_Floating_Point_Expression& y);
//! Pointer to the operand.
Floating_Point_Expression<FP_Interval_Type, FP_Format>* operand;
@@ -105603,12 +105689,12 @@ private:
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Opposite_Floating_Point_Expression.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Opposite_Floating_Point_Expression_inlines.hh line 1. */
/* Opposite_Floating_Point_Expression class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Opposite_Floating_Point_Expression.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Opposite_Floating_Point_Expression_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -105660,14 +105746,14 @@ swap(Opposite_Floating_Point_Expression<FP_Interval_Type, FP_Format>& x,
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Opposite_Floating_Point_Expression.defs.hh line 192. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Opposite_Floating_Point_Expression_defs.hh line 192. */
-/* Automatically generated from PPL source file ../src/Watchdog.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Watchdog_defs.hh line 1. */
/* Watchdog and associated classes' declaration and inline functions.
*/
-/* Automatically generated from PPL source file ../src/Watchdog.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Watchdog_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105676,12 +105762,12 @@ class Watchdog;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Time.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Time_defs.hh line 1. */
/* Time class declaration.
*/
-/* Automatically generated from PPL source file ../src/Time.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Time_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105698,7 +105784,7 @@ class Time;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Time.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Time_defs.hh line 28. */
namespace Parma_Polyhedra_Library {
@@ -105795,7 +105881,7 @@ private:
long microsecs;
};
-/* Automatically generated from PPL source file ../src/Time.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Time_inlines.hh line 1. */
/* Time class implementation: inline functions.
*/
@@ -105928,9 +106014,9 @@ operator>=(const Time& x, const Time& y) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Time.defs.hh line 125. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Time_defs.hh line 125. */
-/* Automatically generated from PPL source file ../src/Handler.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Handler_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105952,12 +106038,12 @@ class Handler_Function;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pending_List.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_List_defs.hh line 1. */
/* Pending_List class declaration.
*/
-/* Automatically generated from PPL source file ../src/Pending_List.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_List_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105975,12 +106061,12 @@ class Pending_List;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pending_Element.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_Element_defs.hh line 1. */
/* Pending_Element class declaration.
*/
-/* Automatically generated from PPL source file ../src/Pending_Element.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_Element_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -105998,68 +106084,56 @@ class Pending_Element;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Doubly_Linked_Object.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Doubly_Linked_Object_defs.hh line 1. */
/* Doubly_Linked_Object class declaration.
*/
-/* Automatically generated from PPL source file ../src/Doubly_Linked_Object.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Doubly_Linked_Object_types.hh line 1. */
namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
class Doubly_Linked_Object;
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/EList.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_types.hh line 1. */
namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
template <typename T>
class EList;
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/EList_Iterator.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_Iterator_types.hh line 1. */
namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
template <typename T>
class EList_Iterator;
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Doubly_Linked_Object.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Doubly_Linked_Object_defs.hh line 30. */
//! A (base) class for doubly linked objects.
-class Parma_Polyhedra_Library::Implementation::Watchdog::Doubly_Linked_Object {
+class Parma_Polyhedra_Library::Implementation::Doubly_Linked_Object {
public:
//! Default constructor.
Doubly_Linked_Object();
@@ -106090,7 +106164,7 @@ private:
template <typename T> friend class EList_Iterator;
};
-/* Automatically generated from PPL source file ../src/Doubly_Linked_Object.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Doubly_Linked_Object_inlines.hh line 1. */
/* Doubly_Linked_Object class implementation: inline functions.
*/
@@ -106099,15 +106173,13 @@ namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
inline
Doubly_Linked_Object::Doubly_Linked_Object() {
}
inline
Doubly_Linked_Object::Doubly_Linked_Object(Doubly_Linked_Object* f,
- Doubly_Linked_Object* b)
+ Doubly_Linked_Object* b)
: next(f),
prev(b) {
}
@@ -106140,15 +106212,13 @@ Doubly_Linked_Object::~Doubly_Linked_Object() {
erase();
}
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Doubly_Linked_Object.defs.hh line 64. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Doubly_Linked_Object_defs.hh line 64. */
-/* Automatically generated from PPL source file ../src/Pending_Element.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_Element_defs.hh line 30. */
//! A class for pending watchdog events with embedded links.
/*!
@@ -106163,13 +106233,13 @@ class Parma_Polyhedra_Library::Implementation::Watchdog::Pending_Element
public:
//! Constructs an element with the given attributes.
Pending_Element(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag);
+ const Handler& handler,
+ bool& expired_flag);
//! Modifies \p *this so that it has the given attributes.
void assign(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag);
+ const Handler& handler,
+ bool& expired_flag);
//! Returns the deadline of the event.
const Threshold& deadline() const;
@@ -106194,7 +106264,7 @@ private:
bool* p_f;
};
-/* Automatically generated from PPL source file ../src/Pending_Element.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_Element_inlines.hh line 1. */
/* Pending_Element class implementation: inline functions.
*/
@@ -106216,8 +106286,8 @@ Pending_Element<Threshold>::OK() const {
template <typename Threshold>
inline
Pending_Element<Threshold>::Pending_Element(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag)
+ const Handler& handler,
+ bool& expired_flag)
: d(deadline), p_h(&handler), p_f(&expired_flag) {
assert(OK());
}
@@ -106225,8 +106295,8 @@ Pending_Element<Threshold>::Pending_Element(const Threshold& deadline,
template <typename Threshold>
inline void
Pending_Element<Threshold>::assign(const Threshold& deadline,
- const Handler& handler,
- bool& expired_flag) {
+ const Handler& handler,
+ bool& expired_flag) {
d = deadline;
p_h = &handler;
p_f = &expired_flag;
@@ -106257,26 +106327,24 @@ Pending_Element<Threshold>::expired_flag() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pending_Element.defs.hh line 76. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_Element_defs.hh line 76. */
-/* Automatically generated from PPL source file ../src/EList.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_defs.hh line 1. */
/* EList class declaration.
*/
-/* Automatically generated from PPL source file ../src/EList_Iterator.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_Iterator_defs.hh line 1. */
/* EList_Iterator class declaration.
*/
-/* Automatically generated from PPL source file ../src/EList_Iterator.defs.hh line 29. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_Iterator_defs.hh line 29. */
namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
//! Returns <CODE>true</CODE> if and only if \p x and \p y are equal.
template <typename T>
bool operator==(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
@@ -106285,15 +106353,13 @@ bool operator==(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
template <typename T>
bool operator!=(const EList_Iterator<T>& x, const EList_Iterator<T>& y);
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
//! A class providing iterators for embedded lists.
template <typename T>
-class Parma_Polyhedra_Library::Implementation::Watchdog::EList_Iterator {
+class Parma_Polyhedra_Library::Implementation::EList_Iterator {
public:
//! Constructs an iterator pointing to nothing.
EList_Iterator();
@@ -106331,19 +106397,17 @@ private:
friend bool operator!=<T>(const EList_Iterator& x, const EList_Iterator& y);
};
-/* Automatically generated from PPL source file ../src/EList_Iterator.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_Iterator_inlines.hh line 1. */
/* EList_Iterator class implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/EList_Iterator.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_Iterator_inlines.hh line 28. */
namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
template <typename T>
inline
EList_Iterator<T>::EList_Iterator() {
@@ -106416,29 +106480,27 @@ operator!=(const EList_Iterator<T>& x, const EList_Iterator<T>& y) {
return x.ptr != y.ptr;
}
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/EList_Iterator.defs.hh line 91. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_Iterator_defs.hh line 87. */
-/* Automatically generated from PPL source file ../src/EList.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_defs.hh line 30. */
/*! \brief
A simple kind of embedded list (i.e., a doubly linked objects
where the links are embedded in the objects themselves).
*/
template <typename T>
-class Parma_Polyhedra_Library::Implementation::Watchdog::EList
+class Parma_Polyhedra_Library::Implementation::EList
: private Doubly_Linked_Object {
public:
//! A const iterator to traverse the list.
- typedef EList_Iterator<const T> Const_Iterator;
+ typedef EList_Iterator<const T> const_iterator;
//! A non-const iterator to traverse the list.
- typedef EList_Iterator<T> Iterator;
+ typedef EList_Iterator<T> iterator;
//! Constructs an empty list.
EList();
@@ -106456,34 +106518,34 @@ public:
Inserts \p obj just before \p position and returns an iterator
that points to the inserted object.
*/
- Iterator insert(Iterator position, T& obj);
+ iterator insert(iterator position, T& obj);
/*! \brief
Removes the element pointed to by \p position, returning
an iterator pointing to the next element, if any, or end(), otherwise.
*/
- Iterator erase(Iterator position);
+ iterator erase(iterator position);
//! Returns <CODE>true</CODE> if and only if the list is empty.
bool empty() const;
//! Returns an iterator pointing to the beginning of the list.
- Iterator begin();
+ iterator begin();
//! Returns an iterator pointing one past the last element in the list.
- Iterator end();
+ iterator end();
//! Returns a const iterator pointing to the beginning of the list.
- Const_Iterator begin() const;
+ const_iterator begin() const;
//! Returns a const iterator pointing one past the last element in the list.
- Const_Iterator end() const;
+ const_iterator end() const;
//! Checks if all the invariants are satisfied.
bool OK() const;
};
-/* Automatically generated from PPL source file ../src/EList.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_inlines.hh line 1. */
/* EList class implementation: inline functions.
*/
@@ -106494,8 +106556,6 @@ namespace Parma_Polyhedra_Library {
namespace Implementation {
-namespace Watchdog {
-
template <typename T>
inline
EList<T>::EList()
@@ -106515,34 +106575,34 @@ EList<T>::push_back(T& obj) {
}
template <typename T>
-inline typename EList<T>::Iterator
-EList<T>::insert(Iterator position, T& obj) {
+inline typename EList<T>::iterator
+EList<T>::insert(iterator position, T& obj) {
position->insert_before(obj);
- return Iterator(&obj);
+ return iterator(&obj);
}
template <typename T>
-inline typename EList<T>::Iterator
+inline typename EList<T>::iterator
EList<T>::begin() {
- return Iterator(next);
+ return iterator(next);
}
template <typename T>
-inline typename EList<T>::Iterator
+inline typename EList<T>::iterator
EList<T>::end() {
- return Iterator(this);
+ return iterator(this);
}
template <typename T>
-inline typename EList<T>::Const_Iterator
+inline typename EList<T>::const_iterator
EList<T>::begin() const {
- return Const_Iterator(next);
+ return const_iterator(next);
}
template <typename T>
-inline typename EList<T>::Const_Iterator
+inline typename EList<T>::const_iterator
EList<T>::end() const {
- return Const_Iterator(const_cast<EList<T>*>(this));
+ return const_iterator(const_cast<EList<T>*>(this));
}
template <typename T>
@@ -106552,17 +106612,17 @@ EList<T>::empty() const {
}
template <typename T>
-inline typename EList<T>::Iterator
-EList<T>::erase(Iterator position) {
+inline typename EList<T>::iterator
+EList<T>::erase(iterator position) {
assert(!empty());
- return Iterator(position->erase());
+ return iterator(position->erase());
}
template <typename T>
inline
EList<T>::~EList() {
// Erase and deallocate all the elements.
- for (Iterator i = begin(), lend = end(), next; i != lend; i = next) {
+ for (iterator i = begin(), lend = end(), next; i != lend; i = next) {
next = erase(i);
delete &*i;
}
@@ -106571,32 +106631,30 @@ EList<T>::~EList() {
template <typename T>
inline bool
EList<T>::OK() const {
- for (Const_Iterator i = begin(), lend = end(); i != lend; ++i)
+ for (const_iterator i = begin(), lend = end(); i != lend; ++i)
if (!i->OK())
return false;
return true;
}
-} // namespace Watchdog
-
} // namespace Implementation
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/EList.defs.hh line 89. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/EList_defs.hh line 89. */
-/* Automatically generated from PPL source file ../src/Pending_List.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_List_defs.hh line 31. */
//! An ordered list for recording pending watchdog events.
template <typename Traits>
class Parma_Polyhedra_Library::Implementation::Watchdog::Pending_List {
public:
//! A non-const iterator to traverse the list.
- typedef typename EList<Pending_Element<typename Traits::Threshold> >::Iterator Iterator;
+ typedef typename EList<Pending_Element<typename Traits::Threshold> >::iterator iterator;
//! A const iterator to traverse the list.
- typedef typename EList<Pending_Element<typename Traits::Threshold> >::Const_Iterator Const_Iterator;
+ typedef typename EList<Pending_Element<typename Traits::Threshold> >::const_iterator const_iterator;
//! Constructs an empty list.
Pending_List();
@@ -106605,24 +106663,24 @@ public:
~Pending_List();
//! Inserts a new Pending_Element object with the given attributes.
- Iterator insert(const typename Traits::Threshold& deadline,
- const Handler& handler,
- bool& expired_flag);
+ iterator insert(const typename Traits::Threshold& deadline,
+ const Handler& handler,
+ bool& expired_flag);
/*! \brief
Removes the element pointed to by \p position, returning
an iterator pointing to the next element, if any, or end(), otherwise.
*/
- Iterator erase(Iterator position);
+ iterator erase(iterator position);
//! Returns <CODE>true</CODE> if and only if the list is empty.
bool empty() const;
//! Returns an iterator pointing to the beginning of the list.
- Iterator begin();
+ iterator begin();
//! Returns an iterator pointing one past the last element in the list.
- Iterator end();
+ iterator end();
//! Checks if all the invariants are satisfied.
bool OK() const;
@@ -106632,7 +106690,7 @@ private:
EList<Pending_Element<typename Traits::Threshold> > free_list;
};
-/* Automatically generated from PPL source file ../src/Pending_List.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_List_inlines.hh line 1. */
/* Pending_List class implementation: inline functions.
*/
@@ -106659,13 +106717,13 @@ Pending_List<Traits>::~Pending_List() {
}
template <typename Traits>
-inline typename Pending_List<Traits>::Iterator
+inline typename Pending_List<Traits>::iterator
Pending_List<Traits>::begin() {
return active_list.begin();
}
template <typename Traits>
-inline typename Pending_List<Traits>::Iterator
+inline typename Pending_List<Traits>::iterator
Pending_List<Traits>::end() {
return active_list.end();
}
@@ -106677,10 +106735,10 @@ Pending_List<Traits>::empty() const {
}
template <typename Traits>
-inline typename Pending_List<Traits>::Iterator
-Pending_List<Traits>::erase(Iterator position) {
+inline typename Pending_List<Traits>::iterator
+Pending_List<Traits>::erase(iterator position) {
assert(!empty());
- Iterator next = active_list.erase(position);
+ iterator next = active_list.erase(position);
free_list.push_back(*position);
assert(OK());
return next;
@@ -106692,7 +106750,7 @@ Pending_List<Traits>::erase(Iterator position) {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pending_List.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_List_templates.hh line 1. */
/* Pending_List class implementation.
*/
@@ -106706,17 +106764,17 @@ namespace Implementation {
namespace Watchdog {
template <typename Traits>
-typename Pending_List<Traits>::Iterator
+typename Pending_List<Traits>::iterator
Pending_List<Traits>::insert(const typename Traits::Threshold& deadline,
- const Handler& handler,
- bool& expired_flag) {
- Iterator position = active_list.begin();
- for (Iterator active_list_end = active_list.end();
+ const Handler& handler,
+ bool& expired_flag) {
+ iterator position = active_list.begin();
+ for (iterator active_list_end = active_list.end();
position != active_list_end
&& Traits::less_than(position->deadline(), deadline);
++position)
;
- Iterator pending_element_p;
+ iterator pending_element_p;
// Only allocate a new element if the free list is empty.
if (free_list.empty())
pending_element_p
@@ -106728,7 +106786,7 @@ Pending_List<Traits>::insert(const typename Traits::Threshold& deadline,
free_list.erase(pending_element_p);
pending_element_p->assign(deadline, handler, expired_flag);
}
- Iterator r = active_list.insert(position, *pending_element_p);
+ iterator r = active_list.insert(position, *pending_element_p);
assert(OK());
return r;
}
@@ -106743,15 +106801,15 @@ Pending_List<Traits>::OK() const {
return false;
const typename Traits::Threshold* old;
- Const_Iterator i = active_list.begin();
+ const_iterator i = active_list.begin();
old = &i->deadline();
++i;
- for (Const_Iterator active_list_end = active_list.end(); i != active_list_end; ++i) {
+ for (const_iterator active_list_end = active_list.end(); i != active_list_end; ++i) {
const typename Traits::Threshold& t = i->deadline();
if (Traits::less_than(t, *old)) {
#ifndef NDEBUG
std::cerr << "The active list is not sorted!"
- << std::endl;
+ << std::endl;
#endif
return false;
}
@@ -106766,9 +106824,9 @@ Pending_List<Traits>::OK() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Pending_List.defs.hh line 78. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Pending_List_defs.hh line 78. */
-/* Automatically generated from PPL source file ../src/Watchdog.defs.hh line 31. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Watchdog_defs.hh line 31. */
#include <cassert>
#include <functional>
@@ -106798,7 +106856,7 @@ public:
Constructor: if not reset, the watchdog will trigger after \p csecs
centiseconds, invoking handler \p function.
*/
- Watchdog(long csecs, void (*function)());
+ Watchdog(long csecs, void (* const function)());
//! Destructor.
~Watchdog();
@@ -106821,7 +106879,7 @@ private:
WD_Handler;
const WD_Handler& handler;
- WD_Pending_List::Iterator pending_position;
+ WD_Pending_List::iterator pending_position;
// Private and not implemented: copy construction is not allowed.
Watchdog(const Watchdog&);
@@ -106862,13 +106920,13 @@ private:
static void handle_timeout(int);
//! Handles the addition of a new watchdog event.
- static WD_Pending_List::Iterator
+ static WD_Pending_List::iterator
new_watchdog_event(long csecs,
const WD_Handler& handler,
bool& expired_flag);
//! Handles the removal of the watchdog event referred by \p position.
- void remove_watchdog_event(WD_Pending_List::Iterator position);
+ void remove_watchdog_event(WD_Pending_List::iterator position);
//! Whether the alarm clock is running.
static volatile bool alarm_clock_running;
@@ -106883,17 +106941,17 @@ private:
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Watchdog.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Watchdog_inlines.hh line 1. */
/* Watchdog and associated classes' implementation: inline functions.
*/
-/* Automatically generated from PPL source file ../src/Handler.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Handler_defs.hh line 1. */
/* Handler and derived classes' declaration.
*/
-/* Automatically generated from PPL source file ../src/Handler.defs.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Handler_defs.hh line 28. */
//! Abstract base class for handlers of the watchdog events.
class Parma_Polyhedra_Library::Implementation::Watchdog::Handler {
@@ -106907,8 +106965,9 @@ public:
//! A kind of Handler that installs a flag onto a flag-holder.
/*!
- The template class Handler_Flag<Flag_Base, Flag> is an handler whose
- job is to install a flag onto an <EM>holder</EM> for the flag.
+ The template class <CODE>Handler_Flag\<Flag_Base, Flag\></CODE>
+ is an handler whose job is to install a flag onto an <EM>holder</EM>
+ for the flag.
The flag is of type \p Flag and the holder is a (volatile) pointer
to \p Flag_Base. Installing the flag onto the holder means making
the holder point to the flag, so that it must be possible to assign
@@ -106949,17 +107008,17 @@ class Parma_Polyhedra_Library::Implementation::Watchdog::Handler_Function
: public Handler {
public:
//! Constructor with a given function.
- Handler_Function(void (*function)());
+ Handler_Function(void (* const function)());
//! Does its job: calls the embedded function.
virtual void act() const;
private:
//! Pointer to the embedded function.
- void (*f)();
+ void (* const f)();
};
-/* Automatically generated from PPL source file ../src/Handler.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Handler_inlines.hh line 1. */
/* Handler and derived classes' implementation: inline functions.
*/
@@ -106976,7 +107035,7 @@ Handler::~Handler() {
template <typename Flag_Base, typename Flag>
Handler_Flag<Flag_Base, Flag>::Handler_Flag(const Flag_Base* volatile& holder,
- Flag& flag)
+ Flag& flag)
: h(holder), f(flag) {
}
@@ -106988,7 +107047,7 @@ Handler_Flag<Flag_Base, Flag>::act() const {
}
inline
-Handler_Function::Handler_Function(void (*function)())
+Handler_Function::Handler_Function(void (* const function)())
: f(function) {
}
@@ -107003,9 +107062,9 @@ Handler_Function::act() const {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Handler.defs.hh line 94. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Handler_defs.hh line 95. */
-/* Automatically generated from PPL source file ../src/Watchdog.inlines.hh line 28. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Watchdog_inlines.hh line 28. */
#include <stdexcept>
namespace Parma_Polyhedra_Library {
@@ -107014,7 +107073,7 @@ namespace Parma_Polyhedra_Library {
template <typename Flag_Base, typename Flag>
Watchdog::Watchdog(long csecs,
- const Flag_Base* volatile& holder,
+ const Flag_Base* volatile& holder,
Flag& flag)
: expired(false),
handler(*new
@@ -107022,19 +107081,19 @@ Watchdog::Watchdog(long csecs,
flag)) {
if (csecs == 0)
throw std::invalid_argument("Watchdog constructor called with a"
- " non-positive number of centiseconds");
+ " non-positive number of centiseconds");
in_critical_section = true;
pending_position = new_watchdog_event(csecs, handler, expired);
in_critical_section = false;
}
inline
-Watchdog::Watchdog(long csecs, void (*function)())
+Watchdog::Watchdog(long csecs, void (* const function)())
: expired(false),
handler(*new Implementation::Watchdog::Handler_Function(function)) {
if (csecs == 0)
throw std::invalid_argument("Watchdog constructor called with a"
- " non-positive number of centiseconds");
+ " non-positive number of centiseconds");
in_critical_section = true;
pending_position = new_watchdog_event(csecs, handler, expired);
in_critical_section = false;
@@ -107059,7 +107118,7 @@ Watchdog::reschedule() {
template <typename Flag_Base, typename Flag>
Watchdog::Watchdog(long /* csecs */,
- const Flag_Base* volatile& /* holder */,
+ const Flag_Base* volatile& /* holder */,
Flag& /* flag */) {
throw std::logic_error("PPL::Watchdog::Watchdog objects not supported:"
" system does not provide setitimer()");
@@ -107079,15 +107138,15 @@ Watchdog::~Watchdog() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Watchdog.defs.hh line 146. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Watchdog_defs.hh line 146. */
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.defs.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_defs.hh line 1. */
/* Threshold_Watcher and associated classes' declaration and inline functions.
*/
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.types.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_types.hh line 1. */
namespace Parma_Polyhedra_Library {
@@ -107097,7 +107156,7 @@ class Threshold_Watcher;
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.defs.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_defs.hh line 30. */
#include <cassert>
/*! \brief
@@ -107126,7 +107185,7 @@ private:
bool expired;
const TW_Handler& handler;
- typename TW_Pending_List::Iterator pending_position;
+ typename TW_Pending_List::iterator pending_position;
// Just to prevent their use.
Threshold_Watcher(const Threshold_Watcher&);
@@ -107139,14 +107198,14 @@ private:
static Initialize init;
// Handle the addition of a new threshold.
- static typename TW_Pending_List::Iterator
+ static typename TW_Pending_List::iterator
add_threshold(typename Traits::Threshold threshold,
- const TW_Handler& handler,
- bool& expired_flag);
+ const TW_Handler& handler,
+ bool& expired_flag);
// Handle the removal of a threshold.
- static typename TW_Pending_List::Iterator
- remove_threshold(typename TW_Pending_List::Iterator position);
+ static typename TW_Pending_List::iterator
+ remove_threshold(typename TW_Pending_List::iterator position);
//! Check threshold reaching.
static void check();
@@ -107160,14 +107219,14 @@ typename
Parma_Polyhedra_Library::Threshold_Watcher<Traits>::Initialize
Parma_Polyhedra_Library::Threshold_Watcher<Traits>::init;
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.inlines.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_inlines.hh line 1. */
/* Threshold_Watcher and associated classes' implementation: inline functions.
*/
#include <stdexcept>
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.inlines.hh line 30. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_inlines.hh line 30. */
namespace Parma_Polyhedra_Library {
@@ -107185,7 +107244,7 @@ Threshold_Watcher<Traits>
Traits::from_delta(threshold, delta);
if (!Traits::less_than(Traits::get(), threshold))
throw std::invalid_argument("Threshold_Watcher constructor called with a"
- " threshold already reached");
+ " threshold already reached");
pending_position = add_threshold(threshold, handler, expired);
}
@@ -107198,13 +107257,13 @@ Threshold_Watcher<Traits>::Threshold_Watcher(const typename Traits::Delta& delta
Traits::from_delta(threshold, delta);
if (!Traits::less_than(Traits::get(), threshold))
throw std::invalid_argument("Threshold_Watcher constructor called with a"
- " threshold already reached");
+ " threshold already reached");
pending_position = add_threshold(threshold, handler, expired);
}
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.templates.hh line 1. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_templates.hh line 1. */
/* Threshold_Watcher and associated classes'.
*/
@@ -107212,7 +107271,7 @@ Threshold_Watcher<Traits>::Threshold_Watcher(const typename Traits::Delta& delta
namespace Parma_Polyhedra_Library {
template <typename Traits>
-typename Threshold_Watcher<Traits>::TW_Pending_List::Iterator
+typename Threshold_Watcher<Traits>::TW_Pending_List::iterator
Threshold_Watcher<Traits>::add_threshold(typename Traits::Threshold threshold,
const TW_Handler& handler,
bool& expired_flag) {
@@ -107221,10 +107280,10 @@ Threshold_Watcher<Traits>::add_threshold(typename Traits::Threshold threshold,
}
template <typename Traits>
-typename Threshold_Watcher<Traits>::TW_Pending_List::Iterator
+typename Threshold_Watcher<Traits>::TW_Pending_List::iterator
Threshold_Watcher<Traits>
-::remove_threshold(typename TW_Pending_List::Iterator position) {
- typename TW_Pending_List::Iterator i = init.pending.erase(position);
+::remove_threshold(typename TW_Pending_List::iterator position) {
+ typename TW_Pending_List::iterator i = init.pending.erase(position);
if (init.pending.empty())
Traits::check_function = 0;
return i;
@@ -107240,7 +107299,7 @@ Threshold_Watcher<Traits>::~Threshold_Watcher() {
template <typename Traits>
void
Threshold_Watcher<Traits>::check() {
- typename TW_Pending_List::Iterator i = init.pending.begin();
+ typename TW_Pending_List::iterator i = init.pending.begin();
assert(i != init.pending.end());
const typename Traits::Threshold& current = Traits::get();
while (!Traits::less_than(current, i->deadline())) {
@@ -107254,7 +107313,7 @@ Threshold_Watcher<Traits>::check() {
} // namespace Parma_Polyhedra_Library
-/* Automatically generated from PPL source file ../src/Threshold_Watcher.defs.hh line 94. */
+/* Automatically generated from PPL source file ../../ppl/ppl/src/Threshold_Watcher_defs.hh line 94. */
diff --git a/src/ppl_header.hh b/src/ppl_header.hh
index d661ea8..ca25513 100644
--- a/src/ppl_header.hh
+++ b/src/ppl_header.hh
@@ -1,6 +1,6 @@
/* This is the header file of the Parma Polyhedra Library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/stdiobuf.cc b/src/stdiobuf.cc
index a10a7ed..318c07b 100644
--- a/src/stdiobuf.cc
+++ b/src/stdiobuf.cc
@@ -1,6 +1,6 @@
/* stdiobuf class implementation (non-inline functions).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "stdiobuf.defs.hh"
-#include "globals.defs.hh"
+#include "stdiobuf_defs.hh"
+#include "globals_defs.hh"
#include "assert.hh"
#include <cstddef>
@@ -37,14 +37,14 @@ stdiobuf::uflow() {
stdiobuf::int_type
stdiobuf::underflow() {
- int_type c = getc(fp);
+ const int_type c = getc(fp);
return ungetc(c, fp);
}
std::streamsize
stdiobuf::xsgetn(char_type* s, std::streamsize n) {
PPL_ASSERT(n >= 0);
- size_t r = fread(s, 1, static_cast<size_t>(n), fp);
+ const size_t r = fread(s, 1, static_cast<size_t>(n), fp);
if (r > 0)
unget_char_buf = traits_type::to_int_type(s[r - 1]);
else
@@ -55,7 +55,7 @@ stdiobuf::xsgetn(char_type* s, std::streamsize n) {
stdiobuf::int_type
stdiobuf::pbackfail(int_type c) {
const int_type eof = traits_type::eof();
- int_type u = traits_type::eq_int_type(c, eof) ? unget_char_buf : c;
+ const int_type u = traits_type::eq_int_type(c, eof) ? unget_char_buf : c;
unget_char_buf = eof;
return traits_type::eq_int_type(u, eof) ? eof : ungetc(u, fp);
}
@@ -63,7 +63,7 @@ stdiobuf::pbackfail(int_type c) {
std::streamsize
stdiobuf::xsputn(const char_type* s, std::streamsize n) {
PPL_ASSERT(n >= 0);
- size_t r = fwrite(s, 1, static_cast<size_t>(n), fp);
+ const size_t r = fwrite(s, 1, static_cast<size_t>(n), fp);
return static_cast<std::streamsize>(r);
}
diff --git a/src/stdiobuf.defs.hh b/src/stdiobuf.defs.hh
deleted file mode 100644
index 235f5e5..0000000
--- a/src/stdiobuf.defs.hh
+++ /dev/null
@@ -1,111 +0,0 @@
-/* stdiobuf class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_stdiobuf_defs_hh
-#define PPL_stdiobuf_defs_hh 1
-
-#include "stdiobuf.types.hh"
-#include <cstdio>
-#include <streambuf>
-
-class Parma_Polyhedra_Library::stdiobuf
- : public std::basic_streambuf<char, std::char_traits<char> > {
-public:
- //! Constructor.
- stdiobuf(FILE* file);
-
-protected:
- /*! \brief
- Gets a character in case of underflow.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
- */
- virtual int_type underflow();
-
- /*! \brief
- In case of underflow, gets a character and advances the next pointer.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
- */
- virtual int_type uflow();
-
- /*! \brief
- Gets a sequence of characters.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
- */
- virtual std::streamsize xsgetn(char_type* s, std::streamsize n);
-
- /*! \brief
- Puts character back in case of backup underflow.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.4.
- */
- virtual int_type pbackfail(int_type c = traits_type::eof());
-
- /*! \brief
- Writes a sequence of characters.
-
- \remarks
- Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
- */
- virtual std::streamsize xsputn(const char_type* s, std::streamsize n);
-
- /*! \brief
- Writes a character in case of overflow.
-
- Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
- */
- virtual int_type overflow(int_type c);
-
- /*! \brief
- Synchronizes the stream buffer.
-
- Specified by ISO/IEC 14882:1998: 27.5.2.4.2.
- */
- virtual int sync();
-
-private:
- //! Character type of the streambuf.
- typedef char char_type;
-
- //! Traits type of the streambuf.
- typedef std::char_traits<char_type> traits_type;
-
- //! Integer type of the streambuf.
- typedef traits_type::int_type int_type;
-
- //! The encapsulated stdio file.
- FILE* fp;
-
- //! Buffer for the last character read.
- int_type unget_char_buf;
-};
-
-#include "stdiobuf.inlines.hh"
-
-#endif // !defined(PPL_stdiobuf_defs_hh)
diff --git a/src/stdiobuf.inlines.hh b/src/stdiobuf.inlines.hh
deleted file mode 100644
index 44c85b9..0000000
--- a/src/stdiobuf.inlines.hh
+++ /dev/null
@@ -1,36 +0,0 @@
-/* stdiobuf class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_stdiobuf_inlines_hh
-#define PPL_stdiobuf_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-stdiobuf::stdiobuf(FILE* file)
- : fp(file), unget_char_buf(traits_type::eof()) {
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_stdiobuf_inlines_hh)
diff --git a/src/stdiobuf.types.hh b/src/stdiobuf.types.hh
deleted file mode 100644
index 9da3559..0000000
--- a/src/stdiobuf.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_stdiobuf_types_hh
-#define PPL_stdiobuf_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class stdiobuf;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_stdiobuf_types_hh)
diff --git a/src/stdiobuf_defs.hh b/src/stdiobuf_defs.hh
new file mode 100644
index 0000000..103e480
--- /dev/null
+++ b/src/stdiobuf_defs.hh
@@ -0,0 +1,111 @@
+/* stdiobuf class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_stdiobuf_defs_hh
+#define PPL_stdiobuf_defs_hh 1
+
+#include "stdiobuf_types.hh"
+#include <cstdio>
+#include <streambuf>
+
+class Parma_Polyhedra_Library::stdiobuf
+ : public std::basic_streambuf<char, std::char_traits<char> > {
+public:
+ //! Constructor.
+ stdiobuf(FILE* file);
+
+protected:
+ /*! \brief
+ Gets a character in case of underflow.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
+ */
+ virtual int_type underflow();
+
+ /*! \brief
+ In case of underflow, gets a character and advances the next pointer.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
+ */
+ virtual int_type uflow();
+
+ /*! \brief
+ Gets a sequence of characters.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.3.
+ */
+ virtual std::streamsize xsgetn(char_type* s, std::streamsize n);
+
+ /*! \brief
+ Puts character back in case of backup underflow.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.4.
+ */
+ virtual int_type pbackfail(int_type c = traits_type::eof());
+
+ /*! \brief
+ Writes a sequence of characters.
+
+ \remarks
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
+ */
+ virtual std::streamsize xsputn(const char_type* s, std::streamsize n);
+
+ /*! \brief
+ Writes a character in case of overflow.
+
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.5.
+ */
+ virtual int_type overflow(int_type c);
+
+ /*! \brief
+ Synchronizes the stream buffer.
+
+ Specified by ISO/IEC 14882:1998: 27.5.2.4.2.
+ */
+ virtual int sync();
+
+private:
+ //! Character type of the streambuf.
+ typedef char char_type;
+
+ //! Traits type of the streambuf.
+ typedef std::char_traits<char_type> traits_type;
+
+ //! Integer type of the streambuf.
+ typedef traits_type::int_type int_type;
+
+ //! The encapsulated stdio file.
+ FILE* fp;
+
+ //! Buffer for the last character read.
+ int_type unget_char_buf;
+};
+
+#include "stdiobuf_inlines.hh"
+
+#endif // !defined(PPL_stdiobuf_defs_hh)
diff --git a/src/stdiobuf_inlines.hh b/src/stdiobuf_inlines.hh
new file mode 100644
index 0000000..53b8c44
--- /dev/null
+++ b/src/stdiobuf_inlines.hh
@@ -0,0 +1,36 @@
+/* stdiobuf class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_stdiobuf_inlines_hh
+#define PPL_stdiobuf_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+stdiobuf::stdiobuf(FILE* file)
+ : fp(file), unget_char_buf(traits_type::eof()) {
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_stdiobuf_inlines_hh)
diff --git a/src/stdiobuf_types.hh b/src/stdiobuf_types.hh
new file mode 100644
index 0000000..f028d2a
--- /dev/null
+++ b/src/stdiobuf_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_stdiobuf_types_hh
+#define PPL_stdiobuf_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class stdiobuf;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_stdiobuf_types_hh)
diff --git a/src/swapping_sort.templates.hh b/src/swapping_sort.templates.hh
deleted file mode 100644
index 39dcdd3..0000000
--- a/src/swapping_sort.templates.hh
+++ /dev/null
@@ -1,179 +0,0 @@
-/* Sorting objects for which copies cost more than swaps.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_swapping_sort_templates_hh
-#define PPL_swapping_sort_templates_hh 1
-
-#include <vector>
-#include <algorithm>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-template <typename RA_Container, typename Compare>
-struct Indirect_Sort_Compare {
- typedef typename RA_Container::size_type size_type;
-
- Indirect_Sort_Compare(const RA_Container& cont,
- size_type base = 0,
- Compare comp = Compare())
- : container(cont), base_index(base), compare(comp) {
- }
-
- bool operator()(size_type i, size_type j) const {
- return compare(container[base_index + i], container[base_index + j]);
- }
-
- const RA_Container& container;
- const size_type base_index;
- const Compare compare;
-}; // struct Indirect_Sort_Compare
-
-template <typename RA_Container>
-struct Indirect_Unique_Compare {
- typedef typename RA_Container::size_type size_type;
-
- Indirect_Unique_Compare(const RA_Container& cont, size_type base = 0)
- : container(cont), base_index(base) {
- }
-
- bool operator()(size_type i, size_type j) const {
- return container[base_index + i] == container[base_index + j];
- }
-
- const RA_Container& container;
- const size_type base_index;
-}; // struct Indirect_Unique_Compare
-
-template <typename RA_Container>
-struct Indirect_Swapper {
- typedef typename RA_Container::size_type size_type;
-
- Indirect_Swapper(RA_Container& cont, size_type base = 0)
- : container(cont), base_index(base) {
- }
-
- void operator()(size_type i, size_type j) const {
- using std::swap;
- swap(container[base_index + i], container[base_index + j]);
- }
-
- RA_Container& container;
- const size_type base_index;
-}; // struct Indirect_Swapper
-
-template <typename RA_Container1, typename RA_Container2>
-struct Indirect_Swapper2 {
- typedef typename RA_Container1::size_type size_type;
-
- Indirect_Swapper2(RA_Container1& cont1, RA_Container2& cont2)
- : container1(cont1), container2(cont2) {
- }
-
- void operator()(size_type i, size_type j) const {
- using std::swap;
- swap(container1[i], container1[j]);
- swap(container2[i], container2[j]);
- }
-
- RA_Container1& container1;
- RA_Container2& container2;
-}; // struct Indirect_Swapper2
-
-template <typename Sort_Comparer, typename Unique_Comparer, typename Swapper>
-typename Sort_Comparer::size_type
-indirect_sort_and_unique(typename Sort_Comparer::size_type num_elems,
- Sort_Comparer sort_cmp,
- Unique_Comparer unique_cmp,
- Swapper indirect_swap) {
- typedef typename Sort_Comparer::size_type index_type;
- // `iv' is a vector of indices for the portion of rows to be sorted.
- PPL_ASSERT(num_elems >= 2);
- std::vector<index_type> iv;
- iv.reserve(num_elems);
- for (index_type i = 0, i_end = num_elems; i != i_end; ++i)
- iv.push_back(i);
-
- typedef typename std::vector<index_type>::iterator Iter;
- const Iter iv_begin = iv.begin();
- Iter iv_end = iv.end();
-
- // Sort `iv' by comparing the rows indexed by its elements.
- std::sort(iv_begin, iv_end, sort_cmp);
-
- // Swap the indexed rows according to `iv':
- // for each index `i', the element that should be placed in
- // position dst = i is the one placed in position src = iv[i].
- for (index_type i = num_elems; i-- > 0; ) {
- if (i != iv[i]) {
- index_type dst = i;
- index_type src = iv[i];
- do {
- indirect_swap(src, dst);
- iv[dst] = dst;
- dst = src;
- src = iv[dst];
- } while (i != src);
- iv[dst] = dst;
- }
- }
-
- // Restore `iv' indices to 0 .. num_elems-1 for the call to unique.
- for (index_type i = num_elems; i-- > 0; )
- iv[i] = i;
-
- // Unique `iv' by comparing the rows indexed by its elements.
- iv_end = std::unique(iv_begin, iv_end, unique_cmp);
-
- const index_type num_sorted = static_cast<index_type>(iv_end - iv_begin);
- const index_type num_duplicates = num_elems - num_sorted;
- if (num_duplicates == 0)
- return 0;
-
- // There were duplicates: swap the rows according to `iv'.
- index_type dst = 0;
- while (dst < num_sorted && dst == iv[dst])
- ++dst;
- if (dst == num_sorted)
- return num_duplicates;
- do {
- const index_type src = iv[dst];
- indirect_swap(src, dst);
- ++dst;
- }
- while (dst < num_sorted);
- return num_duplicates;
-}
-
-template <typename Iter>
-Iter
-swapping_unique(Iter first, Iter last) {
- return swapping_unique(first, last, std::iter_swap<Iter, Iter>);
-}
-
-} // namespace Implementation
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_swapping_sort_templates_hh)
diff --git a/src/swapping_sort_templates.hh b/src/swapping_sort_templates.hh
new file mode 100644
index 0000000..6535621
--- /dev/null
+++ b/src/swapping_sort_templates.hh
@@ -0,0 +1,179 @@
+/* Sorting objects for which copies cost more than swaps.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_swapping_sort_templates_hh
+#define PPL_swapping_sort_templates_hh 1
+
+#include <vector>
+#include <algorithm>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+template <typename RA_Container, typename Compare>
+struct Indirect_Sort_Compare {
+ typedef typename RA_Container::size_type size_type;
+
+ Indirect_Sort_Compare(const RA_Container& cont,
+ size_type base = 0,
+ Compare comp = Compare())
+ : container(cont), base_index(base), compare(comp) {
+ }
+
+ bool operator()(size_type i, size_type j) const {
+ return compare(container[base_index + i], container[base_index + j]);
+ }
+
+ const RA_Container& container;
+ const size_type base_index;
+ const Compare compare;
+}; // struct Indirect_Sort_Compare
+
+template <typename RA_Container>
+struct Indirect_Unique_Compare {
+ typedef typename RA_Container::size_type size_type;
+
+ Indirect_Unique_Compare(const RA_Container& cont, size_type base = 0)
+ : container(cont), base_index(base) {
+ }
+
+ bool operator()(size_type i, size_type j) const {
+ return container[base_index + i] == container[base_index + j];
+ }
+
+ const RA_Container& container;
+ const size_type base_index;
+}; // struct Indirect_Unique_Compare
+
+template <typename RA_Container>
+struct Indirect_Swapper {
+ typedef typename RA_Container::size_type size_type;
+
+ Indirect_Swapper(RA_Container& cont, size_type base = 0)
+ : container(cont), base_index(base) {
+ }
+
+ void operator()(size_type i, size_type j) const {
+ using std::swap;
+ swap(container[base_index + i], container[base_index + j]);
+ }
+
+ RA_Container& container;
+ const size_type base_index;
+}; // struct Indirect_Swapper
+
+template <typename RA_Container1, typename RA_Container2>
+struct Indirect_Swapper2 {
+ typedef typename RA_Container1::size_type size_type;
+
+ Indirect_Swapper2(RA_Container1& cont1, RA_Container2& cont2)
+ : container1(cont1), container2(cont2) {
+ }
+
+ void operator()(size_type i, size_type j) const {
+ using std::swap;
+ swap(container1[i], container1[j]);
+ swap(container2[i], container2[j]);
+ }
+
+ RA_Container1& container1;
+ RA_Container2& container2;
+}; // struct Indirect_Swapper2
+
+template <typename Sort_Comparer, typename Unique_Comparer, typename Swapper>
+typename Sort_Comparer::size_type
+indirect_sort_and_unique(typename Sort_Comparer::size_type num_elems,
+ Sort_Comparer sort_cmp,
+ Unique_Comparer unique_cmp,
+ Swapper indirect_swap) {
+ typedef typename Sort_Comparer::size_type index_type;
+ // `iv' is a vector of indices for the portion of rows to be sorted.
+ PPL_ASSERT(num_elems >= 2);
+ std::vector<index_type> iv;
+ iv.reserve(num_elems);
+ for (index_type i = 0, i_end = num_elems; i != i_end; ++i)
+ iv.push_back(i);
+
+ typedef typename std::vector<index_type>::iterator Iter;
+ const Iter iv_begin = iv.begin();
+ Iter iv_end = iv.end();
+
+ // Sort `iv' by comparing the rows indexed by its elements.
+ std::sort(iv_begin, iv_end, sort_cmp);
+
+ // Swap the indexed rows according to `iv':
+ // for each index `i', the element that should be placed in
+ // position dst = i is the one placed in position src = iv[i].
+ for (index_type i = num_elems; i-- > 0; ) {
+ if (i != iv[i]) {
+ index_type dst = i;
+ index_type src = iv[i];
+ do {
+ indirect_swap(src, dst);
+ iv[dst] = dst;
+ dst = src;
+ src = iv[dst];
+ } while (i != src);
+ iv[dst] = dst;
+ }
+ }
+
+ // Restore `iv' indices to 0 .. num_elems-1 for the call to unique.
+ for (index_type i = num_elems; i-- > 0; )
+ iv[i] = i;
+
+ // Unique `iv' by comparing the rows indexed by its elements.
+ iv_end = std::unique(iv_begin, iv_end, unique_cmp);
+
+ const index_type num_sorted = static_cast<index_type>(iv_end - iv_begin);
+ const index_type num_duplicates = num_elems - num_sorted;
+ if (num_duplicates == 0)
+ return 0;
+
+ // There were duplicates: swap the rows according to `iv'.
+ index_type dst = 0;
+ while (dst < num_sorted && dst == iv[dst])
+ ++dst;
+ if (dst == num_sorted)
+ return num_duplicates;
+ do {
+ const index_type src = iv[dst];
+ indirect_swap(src, dst);
+ ++dst;
+ }
+ while (dst < num_sorted);
+ return num_duplicates;
+}
+
+template <typename Iter>
+Iter
+swapping_unique(Iter first, Iter last) {
+ return swapping_unique(first, last, std::iter_swap<Iter, Iter>);
+}
+
+} // namespace Implementation
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_swapping_sort_templates_hh)
diff --git a/src/termination.cc b/src/termination.cc
index ddee538..18e7abd 100644
--- a/src/termination.cc
+++ b/src/termination.cc
@@ -1,6 +1,6 @@
/* Utilities for termination analysis: non-inline, non-template functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,8 +22,8 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl-config.h"
-#include "termination.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
+#include "termination_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -33,7 +33,7 @@ namespace Termination {
void
assign_all_inequalities_approximation(const Constraint_System& cs_in,
- Constraint_System& cs_out) {
+ Constraint_System& cs_out) {
if (cs_in.has_strict_inequalities() || cs_in.has_equalities()) {
// Here we have some strict inequality and/or equality constraints:
// translate them into non-strict inequality constraints.
@@ -42,12 +42,15 @@ assign_all_inequalities_approximation(const Constraint_System& cs_in,
const Constraint& c = *i;
if (c.is_equality()) {
// Insert the two corresponding opposing inequalities.
- cs_out.insert(Linear_Expression(c) >= 0);
- cs_out.insert(Linear_Expression(c) <= 0);
+ const Linear_Expression expr(c.expression());
+ cs_out.insert(expr >= 0);
+ cs_out.insert(expr <= 0);
}
- else if (c.is_strict_inequality())
+ else if (c.is_strict_inequality()) {
// Insert the non-strict approximation.
- cs_out.insert(Linear_Expression(c) >= 0);
+ const Linear_Expression expr(c.expression());
+ cs_out.insert(expr >= 0);
+ }
else
// Insert as is.
cs_out.insert(c);
@@ -61,21 +64,22 @@ assign_all_inequalities_approximation(const Constraint_System& cs_in,
template <>
void
assign_all_inequalities_approximation(const C_Polyhedron& ph,
- Constraint_System& cs) {
+ Constraint_System& cs) {
const Constraint_System& ph_cs = ph.minimized_constraints();
if (ph_cs.has_equalities()) {
// Translate equalities into inequalities.
for (Constraint_System::const_iterator i = ph_cs.begin(),
- i_end = ph_cs.end(); i != i_end; ++i) {
+ i_end = ph_cs.end(); i != i_end; ++i) {
const Constraint& c = *i;
if (c.is_equality()) {
- // Insert the two corresponding opposing inequalities.
- cs.insert(Linear_Expression(c) >= 0);
- cs.insert(Linear_Expression(c) <= 0);
+ // Insert the two corresponding opposing inequalities.
+ const Linear_Expression expr(c.expression());
+ cs.insert(expr >= 0);
+ cs.insert(expr <= 0);
}
else
- // Insert as is.
- cs.insert(c);
+ // Insert as is.
+ cs.insert(c);
}
}
else
@@ -124,8 +128,8 @@ assign_all_inequalities_approximation(const C_Polyhedron& ph,
*/
void
fill_constraint_systems_MS(const Constraint_System& cs,
- Constraint_System& cs_out1,
- Constraint_System& cs_out2) {
+ Constraint_System& cs_out1,
+ Constraint_System& cs_out2) {
PPL_ASSERT(cs.space_dimension() % 2 == 0);
const dimension_type n = cs.space_dimension() / 2;
const dimension_type m = num_constraints(cs);
@@ -144,8 +148,8 @@ fill_constraint_systems_MS(const Constraint_System& cs,
std::cout << cs << std::endl;
#endif
- dimension_type y_begin = n+1;
- dimension_type z_begin = y_begin + ((&cs_out1 == &cs_out2) ? m : 0);
+ const dimension_type y_begin = n+1;
+ const dimension_type z_begin = y_begin + ((&cs_out1 == &cs_out2) ? m : 0);
// Make sure linear expressions have the correct space dimension.
Linear_Expression y_le;
@@ -158,9 +162,9 @@ fill_constraint_systems_MS(const Constraint_System& cs,
dimension_type y = y_begin;
dimension_type z = z_begin;
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i) {
- Variable v_y(y);
- Variable v_z(z);
+ cs_end = cs.end(); i != cs_end; ++i) {
+ const Variable v_y(y);
+ const Variable v_z(z);
++y;
++z;
cs_out1.insert(v_y >= 0);
@@ -173,7 +177,7 @@ fill_constraint_systems_MS(const Constraint_System& cs,
sub_mul_assign(y_le, b_i, v_y);
sub_mul_assign(z_le, b_i, v_z);
}
- for (Constraint::Expression::const_iterator j = c_i.expression().begin(),
+ for (Constraint::expr_type::const_iterator j = c_i.expression().begin(),
j_end = c_i.expression().end(); j != j_end; ++j) {
Coefficient_traits::const_reference a_i_j = *j;
const Variable v = j.variable();
@@ -338,9 +342,9 @@ fill_constraint_systems_MS(const Constraint_System& cs,
*/
void
fill_constraint_system_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- Constraint_System& cs_out,
- Linear_Expression& le_out) {
+ const Constraint_System& cs_after,
+ Constraint_System& cs_out,
+ Linear_Expression& le_out) {
PPL_ASSERT(cs_after.space_dimension() % 2 == 0);
PPL_ASSERT(2*cs_before.space_dimension() == cs_after.space_dimension());
const dimension_type n = cs_before.space_dimension();
@@ -355,13 +359,13 @@ fill_constraint_system_PR(const Constraint_System& cs_before,
dimension_type row_index = 0;
for (Constraint_System::const_iterator i = cs_before.begin(),
- cs_before_end = cs_before.end();
+ cs_before_end = cs_before.end();
i != cs_before_end;
++i, ++row_index) {
- Variable u1_i(m + row_index);
- Variable u2_i(s + row_index);
- const Constraint::Expression& e_i = i->expression();
- for (Constraint::Expression::const_iterator
+ const Variable u1_i(m + row_index);
+ const Variable u2_i(s + row_index);
+ const Constraint::expr_type e_i = i->expression();
+ for (Constraint::expr_type::const_iterator
j = e_i.begin(), j_end = e_i.end(); j != j_end; ++j) {
Coefficient_traits::const_reference A_ij_B = *j;
const Variable v = j.variable();
@@ -379,26 +383,26 @@ fill_constraint_system_PR(const Constraint_System& cs_before,
row_index = 0;
for (Constraint_System::const_iterator i = cs_after.begin(),
- cs_after_end = cs_after.end();
+ cs_after_end = cs_after.end();
i != cs_after_end;
++i, ++row_index) {
- Variable u3_i(row_index);
- const Constraint::Expression& e_i = i->expression();
- for (Constraint::Expression::const_iterator
- i = e_i.lower_bound(Variable(n)),
- i_end = e_i.end(); i != i_end; ++i) {
- Coefficient_traits::const_reference A_ij_C = *i;
- const Variable v = i.variable();
+ const Variable u3_i(row_index);
+ const Constraint::expr_type e_i = i->expression();
+ for (Constraint::expr_type::const_iterator
+ j = e_i.lower_bound(Variable(n)),
+ j_end = e_i.end(); j != j_end; ++j) {
+ Coefficient_traits::const_reference A_ij_C = *j;
+ const Variable v = j.variable();
// - u3 A_C, in the context of the j-th constraint.
sub_mul_assign(les_eq[v.id() - n], A_ij_C, u3_i);
// u3 A_C, in the context of the (j+n)-th constraint.
add_mul_assign(les_eq[v.id()], A_ij_C, u3_i);
}
- for (Constraint::Expression::const_iterator i = e_i.begin(),
- i_end = e_i.lower_bound(Variable(n)); i != i_end; ++i) {
- Coefficient_traits::const_reference Ap_ij_C = *i;
+ for (Constraint::expr_type::const_iterator j = e_i.begin(),
+ j_end = e_i.lower_bound(Variable(n)); j != j_end; ++j) {
+ Coefficient_traits::const_reference Ap_ij_C = *j;
// u3 Ap_C, in the context of the (j+n)-th constraint.
- add_mul_assign(les_eq[i.variable().id() + n], Ap_ij_C, u3_i);
+ add_mul_assign(les_eq[j.variable().id() + n], Ap_ij_C, u3_i);
}
Coefficient_traits::const_reference b_C = e_i.inhomogeneous_term();
if (b_C != 0)
@@ -429,24 +433,24 @@ fill_constraint_system_PR_original(const Constraint_System& cs,
dimension_type row_index = 0;
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i, ++row_index) {
- const Constraint::Expression& e_i = i->expression();
+ cs_end = cs.end(); i != cs_end; ++i, ++row_index) {
+ const Constraint::expr_type e_i = i->expression();
const Variable lambda1_i(row_index);
const Variable lambda2_i(m + row_index);
- for (Constraint::Expression::const_iterator i = e_i.begin(),
- i_end = e_i.lower_bound(Variable(n)); i != i_end; ++i) {
- Coefficient_traits::const_reference Ap_ij = *i;
- const Variable v = i.variable();
+ for (Constraint::expr_type::const_iterator j = e_i.begin(),
+ j_end = e_i.lower_bound(Variable(n)); j != j_end; ++j) {
+ Coefficient_traits::const_reference Ap_ij = *j;
+ const Variable v = j.variable();
// lambda_1 A'
add_mul_assign(les_eq[v.id()], Ap_ij, lambda1_i);
// lambda_2 A'
add_mul_assign(les_eq[v.id()+n+n], Ap_ij, lambda2_i);
}
- for (Constraint::Expression::const_iterator
- i = e_i.lower_bound(Variable(n)),
- i_end = e_i.end(); i != i_end; ++i) {
- Coefficient_traits::const_reference A_ij = *i;
- const Variable v = i.variable();
+ for (Constraint::expr_type::const_iterator
+ j = e_i.lower_bound(Variable(n)),
+ j_end = e_i.end(); j != j_end; ++j) {
+ Coefficient_traits::const_reference A_ij = *j;
+ const Variable v = j.variable();
// (lambda_1 - lambda_2) A
add_mul_assign(les_eq[v.id()], A_ij, lambda1_i);
sub_mul_assign(les_eq[v.id()], A_ij, lambda2_i);
@@ -472,7 +476,7 @@ termination_test_MS(const Constraint_System& cs) {
Constraint_System cs_mip;
fill_constraint_systems_MS(cs, cs_mip, cs_mip);
- MIP_Problem mip = MIP_Problem(cs_mip.space_dimension(), cs_mip);
+ const MIP_Problem mip = MIP_Problem(cs_mip.space_dimension(), cs_mip);
return mip.is_satisfiable();
}
@@ -481,21 +485,21 @@ one_affine_ranking_function_MS(const Constraint_System& cs, Generator& mu) {
Constraint_System cs_mip;
fill_constraint_systems_MS(cs, cs_mip, cs_mip);
- MIP_Problem mip = MIP_Problem(cs_mip.space_dimension(), cs_mip);
+ const MIP_Problem mip = MIP_Problem(cs_mip.space_dimension(), cs_mip);
if (!mip.is_satisfiable())
return false;
- Generator fp = mip.feasible_point();
+ const Generator fp = mip.feasible_point();
PPL_ASSERT(fp.is_point());
const dimension_type n = cs.space_dimension() / 2;
- Linear_Expression le(fp.expression(), n + 1);
+ const Linear_Expression le(fp.expression(), n + 1);
mu = point(le, fp.divisor());
return true;
}
void
all_affine_ranking_functions_MS(const Constraint_System& cs,
- C_Polyhedron& mu_space) {
+ C_Polyhedron& mu_space) {
Constraint_System cs_out1;
Constraint_System cs_out2;
fill_constraint_systems_MS(cs, cs_out1, cs_out2);
@@ -586,13 +590,13 @@ termination_test_PR_original(const Constraint_System& cs) {
// Turn minimization problem into satisfiability.
cs_mip.insert(le_ineq <= -1);
- MIP_Problem mip(cs_mip.space_dimension(), cs_mip);
+ const MIP_Problem mip(cs_mip.space_dimension(), cs_mip);
return mip.is_satisfiable();
}
bool
termination_test_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after) {
+ const Constraint_System& cs_after) {
Constraint_System cs_mip;
Linear_Expression le_ineq;
fill_constraint_system_PR(cs_before, cs_after, cs_mip, le_ineq);
@@ -617,14 +621,14 @@ termination_test_PR(const Constraint_System& cs_before,
// Turn minimization problem into satisfiability.
cs_mip.insert(le_ineq <= -1);
- MIP_Problem mip(cs_mip.space_dimension(), cs_mip);
+ const MIP_Problem mip(cs_mip.space_dimension(), cs_mip);
return mip.is_satisfiable();
}
bool
one_affine_ranking_function_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- Generator& mu) {
+ const Constraint_System& cs_after,
+ Generator& mu) {
return Termination_Helpers
::one_affine_ranking_function_PR(cs_before, cs_after, mu);
}
@@ -637,8 +641,8 @@ one_affine_ranking_function_PR_original(const Constraint_System& cs,
void
all_affine_ranking_functions_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- NNC_Polyhedron& mu_space) {
+ const Constraint_System& cs_after,
+ NNC_Polyhedron& mu_space) {
Termination_Helpers::all_affine_ranking_functions_PR(cs_before, cs_after,
mu_space);
}
@@ -683,7 +687,7 @@ Termination_Helpers
// Turn minimization problem into satisfiability.
cs_mip.insert(le_ineq <= -1);
- MIP_Problem mip(cs_mip.space_dimension(), cs_mip);
+ const MIP_Problem mip(cs_mip.space_dimension(), cs_mip);
if (!mip.is_satisfiable())
return false;
@@ -735,7 +739,7 @@ Termination_Helpers
// Turn minimization problem into satisfiability.
cs_mip.insert(le_ineq <= -1);
- MIP_Problem mip = MIP_Problem(cs_mip.space_dimension(), cs_mip);
+ const MIP_Problem mip = MIP_Problem(cs_mip.space_dimension(), cs_mip);
if (!mip.is_satisfiable())
return false;
@@ -749,7 +753,7 @@ Termination_Helpers
dimension_type row_index = m;
for (Constraint_System::const_iterator i = cs.begin(),
cs_end = cs.end(); i != cs_end; ++i, ++row_index) {
- Variable lambda_2(row_index);
+ const Variable lambda_2(row_index);
Coefficient_traits::const_reference fp_i = fp.coefficient(lambda_2);
if (fp_i != 0)
le.linear_combine(i->expr, 1, -fp_i, 1, n + 1);
@@ -871,7 +875,7 @@ Termination_Helpers
NNC_Polyhedron ph(cs_eqs);
ph.add_constraint(le_ineq < 0);
// lambda_2 corresponds to space dimensions m, ..., 2*m-1.
- Variables_Set lambda1(Variable(0), Variable(m-1));
+ const Variables_Set lambda1(Variable(0), Variable(m-1));
ph.remove_space_dimensions(lambda1);
#if PRINT_DEBUG_INFO
@@ -897,7 +901,7 @@ Termination_Helpers
dimension_type row_index = 0;
for (Constraint_System::const_iterator i = cs.begin(),
cs_end = cs.end(); i != cs_end; ++i, ++row_index) {
- Variable lambda2_i(row_index);
+ const Variable lambda2_i(row_index);
Coefficient_traits::const_reference g_i = g.coefficient(lambda2_i);
if (g_i != 0)
le.linear_combine(i->expr, 1, -g_i, 1, n + 1);
diff --git a/src/termination.defs.hh b/src/termination.defs.hh
deleted file mode 100644
index f8151ee..0000000
--- a/src/termination.defs.hh
+++ /dev/null
@@ -1,502 +0,0 @@
-/* Utilities for termination analysis: declarations.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_termination_defs_hh
-#define PPL_termination_defs_hh 1
-
-#include "termination.types.hh"
-
-#include "Generator.types.hh"
-#include "C_Polyhedron.types.hh"
-#include "NNC_Polyhedron.types.hh"
-#include "Constraint_System.types.hh"
-
-namespace Parma_Polyhedra_Library {
-
-class Termination_Helpers {
-public:
- static void
- all_affine_ranking_functions_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- NNC_Polyhedron& mu_space);
- static bool
- one_affine_ranking_function_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- Generator& mu);
- static bool
- one_affine_ranking_function_PR_original(const Constraint_System& cs,
- Generator& mu);
- static void
- all_affine_ranking_functions_PR_original(const Constraint_System& cs,
- NNC_Polyhedron& mu_space);
-
- template <typename PSET>
- static void
- assign_all_inequalities_approximation(const PSET& pset_before,
- const PSET& pset_after,
- Constraint_System& cs);
-}; // class Termination_Helpers
-
-//! \name Functions for the Synthesis of Linear Rankings
-//@{
-
-/*! \brief \ingroup PPL_CXX_interface
- Termination test using an improvement of the method by Mesnard and
- Serebrenik \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset
- A pointset approximating the behavior of a loop whose termination
- is being analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
- .
- where unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update.
-
- \return
- <CODE>true</CODE> if any loop approximated by \p pset definitely
- terminates; <CODE>false</CODE> if the test is inconclusive.
- However, if \p pset <EM>precisely</EM> characterizes the effect
- of the loop body onto the loop-relevant program variables,
- then <CODE>true</CODE> is returned <EM>if and only if</EM>
- the loop terminates.
-*/
-template <typename PSET>
-bool
-termination_test_MS(const PSET& pset);
-
-/*! \brief \ingroup PPL_CXX_interface
- Termination test using an improvement of the method by Mesnard and
- Serebrenik \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset_before
- A pointset approximating the values of loop-relevant variables
- <EM>before</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$.
-
- \param pset_after
- A pointset approximating the values of loop-relevant variables
- <EM>after</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
-
- Note that unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update. Note also that unprimed variables are assigned
- to different space dimensions in \p pset_before and \p pset_after.
-
- \return
- <CODE>true</CODE> if any loop approximated by \p pset definitely
- terminates; <CODE>false</CODE> if the test is inconclusive.
- However, if \p pset_before and \p pset_after <EM>precisely</EM>
- characterize the effect of the loop body onto the loop-relevant
- program variables, then <CODE>true</CODE> is returned
- <EM>if and only if</EM> the loop terminates.
-*/
-template <typename PSET>
-bool
-termination_test_MS_2(const PSET& pset_before, const PSET& pset_after);
-
-/*! \brief \ingroup PPL_CXX_interface
- Termination test with witness ranking function using an improvement
- of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset
- A pointset approximating the behavior of a loop whose termination
- is being analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
- .
- where unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update.
-
- \param mu
- When <CODE>true</CODE> is returned, this is assigned a point
- of space dimension \f$ n+1 \f$ encoding one (not further specified)
- affine ranking function for the loop being analyzed.
- The ranking function is of the form \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
- where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ are the coefficients
- of \p mu corresponding to the space dimensions \f$ n, 0, \ldots, n-1 \f$,
- respectively.
-
- \return
- <CODE>true</CODE> if any loop approximated by \p pset definitely
- terminates; <CODE>false</CODE> if the test is inconclusive.
- However, if \p pset <EM>precisely</EM> characterizes the effect
- of the loop body onto the loop-relevant program variables,
- then <CODE>true</CODE> is returned <EM>if and only if</EM>
- the loop terminates.
-*/
-template <typename PSET>
-bool
-one_affine_ranking_function_MS(const PSET& pset, Generator& mu);
-
-/*! \brief \ingroup PPL_CXX_interface
- Termination test with witness ranking function using an improvement
- of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset_before
- A pointset approximating the values of loop-relevant variables
- <EM>before</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$.
-
- \param pset_after
- A pointset approximating the values of loop-relevant variables
- <EM>after</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
-
- Note that unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update. Note also that unprimed variables are assigned
- to different space dimensions in \p pset_before and \p pset_after.
-
- \param mu
- When <CODE>true</CODE> is returned, this is assigned a point
- of space dimension \f$ n+1 \f$ encoding one (not further specified)
- affine ranking function for the loop being analyzed.
- The ranking function is of the form \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
- where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ are the coefficients
- of \p mu corresponding to the space dimensions \f$ n, 0, \ldots, n-1 \f$,
- respectively.
-
- \return
- <CODE>true</CODE> if any loop approximated by \p pset definitely
- terminates; <CODE>false</CODE> if the test is inconclusive.
- However, if \p pset_before and \p pset_after <EM>precisely</EM>
- characterize the effect of the loop body onto the loop-relevant
- program variables, then <CODE>true</CODE> is returned
- <EM>if and only if</EM> the loop terminates.
-*/
-template <typename PSET>
-bool
-one_affine_ranking_function_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu);
-
-/*! \brief \ingroup PPL_CXX_interface
- Termination test with ranking function space using an improvement
- of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset
- A pointset approximating the behavior of a loop whose termination
- is being analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
- .
- where unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update.
-
- \param mu_space
- This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
- representing the space of all the affine ranking functions for the loops
- that are precisely characterized by \p pset.
- These ranking functions are of the form
- \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
- where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
- \p mu_space polyhedron.
- The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
- correspond to the space dimensions of \p mu_space
- \f$ n, 0, \ldots, n-1 \f$, respectively.
- When \p mu_space is empty, it means that the test is inconclusive.
- However, if \p pset <EM>precisely</EM> characterizes the effect
- of the loop body onto the loop-relevant program variables,
- then \p mu_space is empty <EM>if and only if</EM>
- the loop does <EM>not</EM> terminate.
-*/
-template <typename PSET>
-void
-all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space);
-
-/*! \brief \ingroup PPL_CXX_interface
- Termination test with ranking function space using an improvement
- of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset_before
- A pointset approximating the values of loop-relevant variables
- <EM>before</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$.
-
- \param pset_after
- A pointset approximating the values of loop-relevant variables
- <EM>after</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
-
- Note that unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update. Note also that unprimed variables are assigned
- to different space dimensions in \p pset_before and \p pset_after.
-
- \param mu_space
- This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
- representing the space of all the affine ranking functions for the loops
- that are precisely characterized by \p pset.
- These ranking functions are of the form
- \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
- where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
- \p mu_space polyhedron.
- The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
- correspond to the space dimensions of \p mu_space
- \f$ n, 0, \ldots, n-1 \f$, respectively.
- When \p mu_space is empty, it means that the test is inconclusive.
- However, if \p pset_before and \p pset_after <EM>precisely</EM>
- characterize the effect of the loop body onto the loop-relevant
- program variables, then \p mu_space is empty <EM>if and only if</EM>
- the loop does <EM>not</EM> terminate.
-*/
-template <typename PSET>
-void
-all_affine_ranking_functions_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- C_Polyhedron& mu_space);
-
-/*! \brief \ingroup PPL_CXX_interface
- Computes the spaces of affine \e quasi ranking functions
- using an improvement of the method by Mesnard and Serebrenik
- \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset
- A pointset approximating the behavior of a loop whose termination
- is being analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
- .
- where unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update.
-
- \param decreasing_mu_space
- This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
- representing the space of all the decreasing affine functions
- for the loops that are precisely characterized by \p pset.
-
- \param bounded_mu_space
- This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
- representing the space of all the lower bounded affine functions
- for the loops that are precisely characterized by \p pset.
-
- These quasi-ranking functions are of the form
- \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
- where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
- \p decreasing_mu_space and \p bounded_mu_space polyhedrons.
- The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
- correspond to the space dimensions \f$ n, 0, \ldots, n-1 \f$, respectively.
- When \p decreasing_mu_space (resp., \p bounded_mu_space) is empty,
- it means that the test is inconclusive.
- However, if \p pset <EM>precisely</EM> characterizes the effect
- of the loop body onto the loop-relevant program variables,
- then \p decreasing_mu_space (resp., \p bounded_mu_space) will be empty
- <EM>if and only if</EM> there is no decreasing (resp., lower bounded)
- affine function, so that the loop does not terminate.
-*/
-template <typename PSET>
-void
-all_affine_quasi_ranking_functions_MS(const PSET& pset,
- C_Polyhedron& decreasing_mu_space,
- C_Polyhedron& bounded_mu_space);
-
-/*! \brief \ingroup PPL_CXX_interface
- Computes the spaces of affine \e quasi ranking functions
- using an improvement of the method by Mesnard and Serebrenik
- \ref BMPZ10 "[BMPZ10]".
-
- \tparam PSET
- Any pointset supported by the PPL that provides the
- <CODE>minimized_constraints()</CODE> method.
-
- \param pset_before
- A pointset approximating the values of loop-relevant variables
- <EM>before</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$.
-
- \param pset_after
- A pointset approximating the values of loop-relevant variables
- <EM>after</EM> the update performed in the loop body that is being
- analyzed. The variables indices are allocated as follows:
- - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
- \f$ 0, \ldots, n-1 \f$,
- - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
- \f$ n, \ldots, 2n-1 \f$,
-
- Note that unprimed variables represent the values of the loop-relevant
- program variables before the update performed in the loop body,
- and primed variables represent the values of those program variables
- after the update. Note also that unprimed variables are assigned
- to different space dimensions in \p pset_before and \p pset_after.
-
- \param decreasing_mu_space
- This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
- representing the space of all the decreasing affine functions
- for the loops that are precisely characterized by \p pset.
-
- \param bounded_mu_space
- This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
- representing the space of all the lower bounded affine functions
- for the loops that are precisely characterized by \p pset.
-
- These ranking functions are of the form
- \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
- where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
- \p decreasing_mu_space and \p bounded_mu_space polyhedrons.
- The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
- correspond to the space dimensions \f$ n, 0, \ldots, n-1 \f$, respectively.
- When \p decreasing_mu_space (resp., \p bounded_mu_space) is empty,
- it means that the test is inconclusive.
- However, if \p pset_before and \p pset_after <EM>precisely</EM>
- characterize the effect of the loop body onto the loop-relevant
- program variables, then \p decreasing_mu_space (resp., \p bounded_mu_space)
- will be empty <EM>if and only if</EM> there is no decreasing
- (resp., lower bounded) affine function, so that the loop does not terminate.
-*/
-template <typename PSET>
-void
-all_affine_quasi_ranking_functions_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- C_Polyhedron& decreasing_mu_space,
- C_Polyhedron& bounded_mu_space);
-
-/*! \brief \ingroup PPL_CXX_interface
- Like termination_test_MS() but using the method by Podelski and
- Rybalchenko \ref BMPZ10 "[BMPZ10]".
-*/
-template <typename PSET>
-bool
-termination_test_PR(const PSET& pset);
-
-/*! \brief \ingroup PPL_CXX_interface
- Like termination_test_MS_2() but using an alternative formalization
- of the method by Podelski and Rybalchenko \ref BMPZ10 "[BMPZ10]".
-*/
-template <typename PSET>
-bool
-termination_test_PR_2(const PSET& pset_before, const PSET& pset_after);
-
-/*! \brief \ingroup PPL_CXX_interface
- Like one_affine_ranking_function_MS() but using the method by Podelski
- and Rybalchenko \ref BMPZ10 "[BMPZ10]".
-*/
-template <typename PSET>
-bool
-one_affine_ranking_function_PR(const PSET& pset, Generator& mu);
-
-/*! \brief \ingroup PPL_CXX_interface
- Like one_affine_ranking_function_MS_2() but using an alternative
- formalization of the method by Podelski and Rybalchenko
- \ref BMPZ10 "[BMPZ10]".
-*/
-template <typename PSET>
-bool
-one_affine_ranking_function_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu);
-
-/*! \brief \ingroup PPL_CXX_interface
- Like all_affine_ranking_functions_MS() but using the method by Podelski
- and Rybalchenko \ref BMPZ10 "[BMPZ10]".
-*/
-template <typename PSET>
-void
-all_affine_ranking_functions_PR(const PSET& pset, NNC_Polyhedron& mu_space);
-
-/*! \brief \ingroup PPL_CXX_interface
- Like all_affine_ranking_functions_MS_2() but using an alternative
- formalization of the method by Podelski and Rybalchenko
- \ref BMPZ10 "[BMPZ10]".
-*/
-template <typename PSET>
-void
-all_affine_ranking_functions_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- NNC_Polyhedron& mu_space);
-
-//@} // Functions for the Synthesis of Linear Rankings
-
-} // namespace Parma_Polyhedra_Library
-
-#include "termination.templates.hh"
-
-#endif // !defined(PPL_termination_defs_hh)
diff --git a/src/termination.templates.hh b/src/termination.templates.hh
deleted file mode 100644
index 9038218..0000000
--- a/src/termination.templates.hh
+++ /dev/null
@@ -1,552 +0,0 @@
-/* Utilities for termination analysis: template functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_termination_templates_hh
-#define PPL_termination_templates_hh 1
-
-#include "globals.defs.hh"
-#include "Variable.defs.hh"
-#include "Generator.defs.hh"
-#include "Constraint_System.defs.hh"
-#include "C_Polyhedron.defs.hh"
-#include "NNC_Polyhedron.defs.hh"
-
-#include <stdexcept>
-
-#define PRINT_DEBUG_INFO 0
-
-#if PRINT_DEBUG_INFO
-#include <iostream>
-#endif
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-
-namespace Termination {
-
-#if PRINT_DEBUG_INFO
-static dimension_type output_function_MS_n;
-static dimension_type output_function_MS_m;
-
-/* Encodes which object are we printing:
-
- 0 means input constraint system;
- 1 means first output constraint system;
- 2 means second output constraint system;
- 3 means only output constraint system
- (i.e., when first and second are the same);
- 4 means mu space.
-*/
-static int output_function_MS_which = -1;
-
-/*
- Debugging output function. See the documentation of
- fill_constraint_systems_MS() for the allocation of variable indices.
-*/
-inline void
-output_function_MS(std::ostream& s, const Variable v) {
- dimension_type id = v.id();
- switch (output_function_MS_which) {
- case 0:
- if (id < output_function_MS_n)
- s << "x'" << id + 1;
- else if (id < 2*output_function_MS_n)
- s << "x" << id - output_function_MS_n + 1;
- else
- s << "WHAT?";
- break;
- case 1:
- if (id < output_function_MS_n)
- s << "mu" << id + 1;
- else if (id == output_function_MS_n)
- s << "WHAT?";
- else if (id <= output_function_MS_n + output_function_MS_m)
- s << "y" << id - output_function_MS_n;
- else
- s << "WHAT?";
- break;
- case 2:
- case 4:
- if (id < output_function_MS_n)
- s << "mu" << id + 1;
- else if (id == output_function_MS_n)
- s << "mu0";
- else if (output_function_MS_which == 2
- && id <= output_function_MS_n + output_function_MS_m + 2)
- s << "z" << id - output_function_MS_n;
- else
- s << "WHAT?";
- break;
- case 3:
- if (id < output_function_MS_n)
- s << "mu" << id + 1;
- else if (id == output_function_MS_n)
- s << "mu0";
- else if (id <= output_function_MS_n + output_function_MS_m)
- s << "y" << id - output_function_MS_n;
- else if (id <= output_function_MS_n + 2*output_function_MS_m + 2)
- s << "z" << id - (output_function_MS_n + output_function_MS_m);
- else
- s << "WHAT?";
- break;
- default:
- abort();
- break;
- }
-}
-
-static dimension_type output_function_PR_s;
-static dimension_type output_function_PR_r;
-
-/*
- Debugging output function. See the documentation of
- fill_constraint_system_PR() for the allocation of variable indices.
-*/
-inline void
-output_function_PR(std::ostream& s, const Variable v) {
- dimension_type id = v.id();
- if (id < output_function_PR_s)
- s << "u3_" << id + 1;
- else if (id < output_function_PR_s + output_function_PR_r)
- s << "u2_" << id - output_function_PR_s + 1;
- else if (id < output_function_PR_s + 2*output_function_PR_r)
- s << "u1_" << id - (output_function_PR_s + output_function_PR_r) + 1;
- else
- s << "WHAT?";
-}
-#endif
-
-void
-assign_all_inequalities_approximation(const Constraint_System& cs_in,
- Constraint_System& cs_out);
-
-template <typename PSET>
-inline void
-assign_all_inequalities_approximation(const PSET& pset,
- Constraint_System& cs) {
- assign_all_inequalities_approximation(pset.minimized_constraints(), cs);
-}
-
-template <>
-void
-assign_all_inequalities_approximation(const C_Polyhedron& ph,
- Constraint_System& cs);
-
-bool
-termination_test_MS(const Constraint_System& cs);
-
-bool
-one_affine_ranking_function_MS(const Constraint_System& cs,
- Generator& mu);
-
-void
-all_affine_ranking_functions_MS(const Constraint_System& cs,
- C_Polyhedron& mu_space);
-
-void
-all_affine_quasi_ranking_functions_MS(const Constraint_System& cs,
- C_Polyhedron& decreasing_mu_space,
- C_Polyhedron& bounded_mu_space);
-
-bool
-termination_test_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after);
-
-bool
-one_affine_ranking_function_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- Generator& mu);
-
-void
-all_affine_ranking_functions_PR(const Constraint_System& cs_before,
- const Constraint_System& cs_after,
- NNC_Polyhedron& mu_space);
-
-bool
-termination_test_PR_original(const Constraint_System& cs);
-
-bool
-one_affine_ranking_function_PR_original(const Constraint_System& cs,
- Generator& mu);
-
-void
-all_affine_ranking_functions_PR_original(const Constraint_System& cs,
- NNC_Polyhedron& mu_space);
-
-} // namespace Termination
-
-} // namespace Implementation
-
-template <typename PSET>
-void
-Termination_Helpers
-::assign_all_inequalities_approximation(const PSET& pset_before,
- const PSET& pset_after,
- Constraint_System& cs) {
- Implementation::Termination
- ::assign_all_inequalities_approximation(pset_before, cs);
- cs.shift_space_dimensions(Variable(0), cs.space_dimension());
- Constraint_System cs_after;
- Implementation::Termination
- ::assign_all_inequalities_approximation(pset_after, cs_after);
- // FIXME: provide an "append" for constraint systems.
- for (Constraint_System::const_iterator i = cs_after.begin(),
- cs_after_end = cs_after.end(); i != cs_after_end; ++i)
- cs.insert(*i);
-}
-
-template <typename PSET>
-bool
-termination_test_MS(const PSET& pset) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::termination_test_MS(pset):\n"
- "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- return termination_test_MS(cs);
-}
-
-template <typename PSET>
-bool
-termination_test_MS_2(const PSET& pset_before, const PSET& pset_after) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::termination_test_MS_2(pset_before, pset_after):\n"
- "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- Termination_Helpers
- ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
- return termination_test_MS(cs);
-}
-
-template <typename PSET>
-bool
-one_affine_ranking_function_MS(const PSET& pset, Generator& mu) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::one_affine_ranking_function_MS(pset, mu):\n"
- "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- return one_affine_ranking_function_MS(cs, mu);
-}
-
-template <typename PSET>
-bool
-one_affine_ranking_function_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::one_affine_ranking_function_MS_2(pset_before, pset_after, mu):\n"
- "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- Termination_Helpers
- ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
- return one_affine_ranking_function_MS(cs, mu);
-}
-
-template <typename PSET>
-void
-all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::all_affine_ranking_functions_MS(pset, mu_space):\n"
- "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- if (pset.is_empty()) {
- mu_space = C_Polyhedron(1 + space_dim/2, UNIVERSE);
- return;
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- all_affine_ranking_functions_MS(cs, mu_space);
-}
-
-template <typename PSET>
-void
-all_affine_ranking_functions_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- C_Polyhedron& mu_space) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::all_affine_ranking_functions_MS_2"
- << "(pset_before, pset_after, mu_space):\n"
- << "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- if (pset_before.is_empty()) {
- mu_space = C_Polyhedron(1 + before_space_dim, UNIVERSE);
- return;
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- Termination_Helpers
- ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
- all_affine_ranking_functions_MS(cs, mu_space);
-}
-
-template <typename PSET>
-void
-all_affine_quasi_ranking_functions_MS(const PSET& pset,
- C_Polyhedron& decreasing_mu_space,
- C_Polyhedron& bounded_mu_space) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::all_affine_quasi_ranking_functions_MS"
- << "(pset, decr_space, bounded_space):\n"
- << "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- if (pset.is_empty()) {
- decreasing_mu_space = C_Polyhedron(1 + space_dim/2, UNIVERSE);
- bounded_mu_space = decreasing_mu_space;
- return;
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- all_affine_quasi_ranking_functions_MS(cs,
- decreasing_mu_space,
- bounded_mu_space);
-}
-
-template <typename PSET>
-void
-all_affine_quasi_ranking_functions_MS_2(const PSET& pset_before,
- const PSET& pset_after,
- C_Polyhedron& decreasing_mu_space,
- C_Polyhedron& bounded_mu_space) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::all_affine_quasi_ranking_functions_MS_2"
- << "(pset_before, pset_after, decr_space, bounded_space):\n"
- << "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- if (pset_before.is_empty()) {
- decreasing_mu_space = C_Polyhedron(1 + before_space_dim, UNIVERSE);
- bounded_mu_space = decreasing_mu_space;
- return;
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- Termination_Helpers
- ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
- all_affine_quasi_ranking_functions_MS(cs,
- decreasing_mu_space,
- bounded_mu_space);
-}
-
-template <typename PSET>
-bool
-termination_test_PR_2(const PSET& pset_before, const PSET& pset_after) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::termination_test_PR_2(pset_before, pset_after):\n"
- << "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs_before;
- Constraint_System cs_after;
- assign_all_inequalities_approximation(pset_before, cs_before);
- assign_all_inequalities_approximation(pset_after, cs_after);
- return termination_test_PR(cs_before, cs_after);
-}
-
-template <typename PSET>
-bool
-termination_test_PR(const PSET& pset) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::termination_test_PR(pset):\n"
- << "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- return termination_test_PR_original(cs);
-}
-
-template <typename PSET>
-bool
-one_affine_ranking_function_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- Generator& mu) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::one_affine_ranking_function_PR_2"
- << "(pset_before, pset_after, mu):\n"
- << "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs_before;
- Constraint_System cs_after;
- assign_all_inequalities_approximation(pset_before, cs_before);
- assign_all_inequalities_approximation(pset_after, cs_after);
- return one_affine_ranking_function_PR(cs_before, cs_after, mu);
-}
-
-template <typename PSET>
-bool
-one_affine_ranking_function_PR(const PSET& pset, Generator& mu) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::one_affine_ranking_function_PR(pset, mu):\n"
- << "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- return one_affine_ranking_function_PR_original(cs, mu);
-}
-
-template <typename PSET>
-void
-all_affine_ranking_functions_PR_2(const PSET& pset_before,
- const PSET& pset_after,
- NNC_Polyhedron& mu_space) {
- const dimension_type before_space_dim = pset_before.space_dimension();
- const dimension_type after_space_dim = pset_after.space_dimension();
- if (after_space_dim != 2*before_space_dim) {
- std::ostringstream s;
- s << "PPL::all_affine_ranking_functions_MS_2"
- << "(pset_before, pset_after, mu_space):\n"
- << "pset_before.space_dimension() == " << before_space_dim
- << ", pset_after.space_dimension() == " << after_space_dim
- << ";\nthe latter should be twice the former.";
- throw std::invalid_argument(s.str());
- }
-
- if (pset_before.is_empty()) {
- mu_space = NNC_Polyhedron(1 + before_space_dim);
- return;
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs_before;
- Constraint_System cs_after;
- assign_all_inequalities_approximation(pset_before, cs_before);
- assign_all_inequalities_approximation(pset_after, cs_after);
- all_affine_ranking_functions_PR(cs_before, cs_after, mu_space);
-}
-
-template <typename PSET>
-void
-all_affine_ranking_functions_PR(const PSET& pset,
- NNC_Polyhedron& mu_space) {
- const dimension_type space_dim = pset.space_dimension();
- if (space_dim % 2 != 0) {
- std::ostringstream s;
- s << "PPL::all_affine_ranking_functions_PR(pset, mu_space):\n"
- << "pset.space_dimension() == " << space_dim
- << " is odd.";
- throw std::invalid_argument(s.str());
- }
-
- if (pset.is_empty()) {
- mu_space = NNC_Polyhedron(1 + space_dim/2);
- return;
- }
-
- using namespace Implementation::Termination;
- Constraint_System cs;
- assign_all_inequalities_approximation(pset, cs);
- all_affine_ranking_functions_PR_original(cs, mu_space);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_termination_templates_hh)
diff --git a/src/termination.types.hh b/src/termination.types.hh
deleted file mode 100644
index a7d3685..0000000
--- a/src/termination.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_termination_types_hh
-#define PPL_termination_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Termination_Helpers;
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_termination_types_hh)
diff --git a/src/termination_defs.hh b/src/termination_defs.hh
new file mode 100644
index 0000000..e4334bf
--- /dev/null
+++ b/src/termination_defs.hh
@@ -0,0 +1,502 @@
+/* Utilities for termination analysis: declarations.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_termination_defs_hh
+#define PPL_termination_defs_hh 1
+
+#include "termination_types.hh"
+
+#include "Generator_types.hh"
+#include "C_Polyhedron_types.hh"
+#include "NNC_Polyhedron_types.hh"
+#include "Constraint_System_types.hh"
+
+namespace Parma_Polyhedra_Library {
+
+class Termination_Helpers {
+public:
+ static void
+ all_affine_ranking_functions_PR(const Constraint_System& cs_before,
+ const Constraint_System& cs_after,
+ NNC_Polyhedron& mu_space);
+ static bool
+ one_affine_ranking_function_PR(const Constraint_System& cs_before,
+ const Constraint_System& cs_after,
+ Generator& mu);
+ static bool
+ one_affine_ranking_function_PR_original(const Constraint_System& cs,
+ Generator& mu);
+ static void
+ all_affine_ranking_functions_PR_original(const Constraint_System& cs,
+ NNC_Polyhedron& mu_space);
+
+ template <typename PSET>
+ static void
+ assign_all_inequalities_approximation(const PSET& pset_before,
+ const PSET& pset_after,
+ Constraint_System& cs);
+}; // class Termination_Helpers
+
+//! \name Functions for the Synthesis of Linear Rankings
+//@{
+
+/*! \ingroup PPL_CXX_interface \brief
+ Termination test using an improvement of the method by Mesnard and
+ Serebrenik \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset
+ A pointset approximating the behavior of a loop whose termination
+ is being analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+ .
+ where unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update.
+
+ \return
+ <CODE>true</CODE> if any loop approximated by \p pset definitely
+ terminates; <CODE>false</CODE> if the test is inconclusive.
+ However, if \p pset <EM>precisely</EM> characterizes the effect
+ of the loop body onto the loop-relevant program variables,
+ then <CODE>true</CODE> is returned <EM>if and only if</EM>
+ the loop terminates.
+*/
+template <typename PSET>
+bool
+termination_test_MS(const PSET& pset);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Termination test using an improvement of the method by Mesnard and
+ Serebrenik \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset_before
+ A pointset approximating the values of loop-relevant variables
+ <EM>before</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$.
+
+ \param pset_after
+ A pointset approximating the values of loop-relevant variables
+ <EM>after</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+
+ Note that unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update. Note also that unprimed variables are assigned
+ to different space dimensions in \p pset_before and \p pset_after.
+
+ \return
+ <CODE>true</CODE> if any loop approximated by \p pset definitely
+ terminates; <CODE>false</CODE> if the test is inconclusive.
+ However, if \p pset_before and \p pset_after <EM>precisely</EM>
+ characterize the effect of the loop body onto the loop-relevant
+ program variables, then <CODE>true</CODE> is returned
+ <EM>if and only if</EM> the loop terminates.
+*/
+template <typename PSET>
+bool
+termination_test_MS_2(const PSET& pset_before, const PSET& pset_after);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Termination test with witness ranking function using an improvement
+ of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset
+ A pointset approximating the behavior of a loop whose termination
+ is being analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+ .
+ where unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update.
+
+ \param mu
+ When <CODE>true</CODE> is returned, this is assigned a point
+ of space dimension \f$ n+1 \f$ encoding one (not further specified)
+ affine ranking function for the loop being analyzed.
+ The ranking function is of the form \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
+ where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ are the coefficients
+ of \p mu corresponding to the space dimensions \f$ n, 0, \ldots, n-1 \f$,
+ respectively.
+
+ \return
+ <CODE>true</CODE> if any loop approximated by \p pset definitely
+ terminates; <CODE>false</CODE> if the test is inconclusive.
+ However, if \p pset <EM>precisely</EM> characterizes the effect
+ of the loop body onto the loop-relevant program variables,
+ then <CODE>true</CODE> is returned <EM>if and only if</EM>
+ the loop terminates.
+*/
+template <typename PSET>
+bool
+one_affine_ranking_function_MS(const PSET& pset, Generator& mu);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Termination test with witness ranking function using an improvement
+ of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset_before
+ A pointset approximating the values of loop-relevant variables
+ <EM>before</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$.
+
+ \param pset_after
+ A pointset approximating the values of loop-relevant variables
+ <EM>after</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+
+ Note that unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update. Note also that unprimed variables are assigned
+ to different space dimensions in \p pset_before and \p pset_after.
+
+ \param mu
+ When <CODE>true</CODE> is returned, this is assigned a point
+ of space dimension \f$ n+1 \f$ encoding one (not further specified)
+ affine ranking function for the loop being analyzed.
+ The ranking function is of the form \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
+ where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ are the coefficients
+ of \p mu corresponding to the space dimensions \f$ n, 0, \ldots, n-1 \f$,
+ respectively.
+
+ \return
+ <CODE>true</CODE> if any loop approximated by \p pset definitely
+ terminates; <CODE>false</CODE> if the test is inconclusive.
+ However, if \p pset_before and \p pset_after <EM>precisely</EM>
+ characterize the effect of the loop body onto the loop-relevant
+ program variables, then <CODE>true</CODE> is returned
+ <EM>if and only if</EM> the loop terminates.
+*/
+template <typename PSET>
+bool
+one_affine_ranking_function_MS_2(const PSET& pset_before,
+ const PSET& pset_after,
+ Generator& mu);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Termination test with ranking function space using an improvement
+ of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset
+ A pointset approximating the behavior of a loop whose termination
+ is being analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+ .
+ where unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update.
+
+ \param mu_space
+ This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
+ representing the space of all the affine ranking functions for the loops
+ that are precisely characterized by \p pset.
+ These ranking functions are of the form
+ \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
+ where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
+ \p mu_space polyhedron.
+ The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
+ correspond to the space dimensions of \p mu_space
+ \f$ n, 0, \ldots, n-1 \f$, respectively.
+ When \p mu_space is empty, it means that the test is inconclusive.
+ However, if \p pset <EM>precisely</EM> characterizes the effect
+ of the loop body onto the loop-relevant program variables,
+ then \p mu_space is empty <EM>if and only if</EM>
+ the loop does <EM>not</EM> terminate.
+*/
+template <typename PSET>
+void
+all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Termination test with ranking function space using an improvement
+ of the method by Mesnard and Serebrenik \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset_before
+ A pointset approximating the values of loop-relevant variables
+ <EM>before</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$.
+
+ \param pset_after
+ A pointset approximating the values of loop-relevant variables
+ <EM>after</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+
+ Note that unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update. Note also that unprimed variables are assigned
+ to different space dimensions in \p pset_before and \p pset_after.
+
+ \param mu_space
+ This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
+ representing the space of all the affine ranking functions for the loops
+ that are precisely characterized by \p pset.
+ These ranking functions are of the form
+ \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
+ where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
+ \p mu_space polyhedron.
+ The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
+ correspond to the space dimensions of \p mu_space
+ \f$ n, 0, \ldots, n-1 \f$, respectively.
+ When \p mu_space is empty, it means that the test is inconclusive.
+ However, if \p pset_before and \p pset_after <EM>precisely</EM>
+ characterize the effect of the loop body onto the loop-relevant
+ program variables, then \p mu_space is empty <EM>if and only if</EM>
+ the loop does <EM>not</EM> terminate.
+*/
+template <typename PSET>
+void
+all_affine_ranking_functions_MS_2(const PSET& pset_before,
+ const PSET& pset_after,
+ C_Polyhedron& mu_space);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Computes the spaces of affine \e quasi ranking functions
+ using an improvement of the method by Mesnard and Serebrenik
+ \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset
+ A pointset approximating the behavior of a loop whose termination
+ is being analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+ .
+ where unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update.
+
+ \param decreasing_mu_space
+ This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
+ representing the space of all the decreasing affine functions
+ for the loops that are precisely characterized by \p pset.
+
+ \param bounded_mu_space
+ This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
+ representing the space of all the lower bounded affine functions
+ for the loops that are precisely characterized by \p pset.
+
+ These quasi-ranking functions are of the form
+ \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
+ where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
+ \p decreasing_mu_space and \p bounded_mu_space polyhedrons.
+ The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
+ correspond to the space dimensions \f$ n, 0, \ldots, n-1 \f$, respectively.
+ When \p decreasing_mu_space (resp., \p bounded_mu_space) is empty,
+ it means that the test is inconclusive.
+ However, if \p pset <EM>precisely</EM> characterizes the effect
+ of the loop body onto the loop-relevant program variables,
+ then \p decreasing_mu_space (resp., \p bounded_mu_space) will be empty
+ <EM>if and only if</EM> there is no decreasing (resp., lower bounded)
+ affine function, so that the loop does not terminate.
+*/
+template <typename PSET>
+void
+all_affine_quasi_ranking_functions_MS(const PSET& pset,
+ C_Polyhedron& decreasing_mu_space,
+ C_Polyhedron& bounded_mu_space);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Computes the spaces of affine \e quasi ranking functions
+ using an improvement of the method by Mesnard and Serebrenik
+ \ref BMPZ10 "[BMPZ10]".
+
+ \tparam PSET
+ Any pointset supported by the PPL that provides the
+ <CODE>minimized_constraints()</CODE> method.
+
+ \param pset_before
+ A pointset approximating the values of loop-relevant variables
+ <EM>before</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$.
+
+ \param pset_after
+ A pointset approximating the values of loop-relevant variables
+ <EM>after</EM> the update performed in the loop body that is being
+ analyzed. The variables indices are allocated as follows:
+ - \f$ x'_1, \ldots, x'_n \f$ go onto space dimensions
+ \f$ 0, \ldots, n-1 \f$,
+ - \f$ x_1, \ldots, x_n \f$ go onto space dimensions
+ \f$ n, \ldots, 2n-1 \f$,
+
+ Note that unprimed variables represent the values of the loop-relevant
+ program variables before the update performed in the loop body,
+ and primed variables represent the values of those program variables
+ after the update. Note also that unprimed variables are assigned
+ to different space dimensions in \p pset_before and \p pset_after.
+
+ \param decreasing_mu_space
+ This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
+ representing the space of all the decreasing affine functions
+ for the loops that are precisely characterized by \p pset.
+
+ \param bounded_mu_space
+ This is assigned a closed polyhedron of space dimension \f$ n+1 \f$
+ representing the space of all the lower bounded affine functions
+ for the loops that are precisely characterized by \p pset.
+
+ These ranking functions are of the form
+ \f$ \mu_0 + \sum_{i=1}^n \mu_i x_i \f$
+ where \f$ \mu_0, \mu_1, \ldots, \mu_n \f$ identify any point of the
+ \p decreasing_mu_space and \p bounded_mu_space polyhedrons.
+ The variables \f$ \mu_0, \mu_1, \ldots, \mu_n \f$
+ correspond to the space dimensions \f$ n, 0, \ldots, n-1 \f$, respectively.
+ When \p decreasing_mu_space (resp., \p bounded_mu_space) is empty,
+ it means that the test is inconclusive.
+ However, if \p pset_before and \p pset_after <EM>precisely</EM>
+ characterize the effect of the loop body onto the loop-relevant
+ program variables, then \p decreasing_mu_space (resp., \p bounded_mu_space)
+ will be empty <EM>if and only if</EM> there is no decreasing
+ (resp., lower bounded) affine function, so that the loop does not terminate.
+*/
+template <typename PSET>
+void
+all_affine_quasi_ranking_functions_MS_2(const PSET& pset_before,
+ const PSET& pset_after,
+ C_Polyhedron& decreasing_mu_space,
+ C_Polyhedron& bounded_mu_space);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Like termination_test_MS() but using the method by Podelski and
+ Rybalchenko \ref BMPZ10 "[BMPZ10]".
+*/
+template <typename PSET>
+bool
+termination_test_PR(const PSET& pset);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Like termination_test_MS_2() but using an alternative formalization
+ of the method by Podelski and Rybalchenko \ref BMPZ10 "[BMPZ10]".
+*/
+template <typename PSET>
+bool
+termination_test_PR_2(const PSET& pset_before, const PSET& pset_after);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Like one_affine_ranking_function_MS() but using the method by Podelski
+ and Rybalchenko \ref BMPZ10 "[BMPZ10]".
+*/
+template <typename PSET>
+bool
+one_affine_ranking_function_PR(const PSET& pset, Generator& mu);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Like one_affine_ranking_function_MS_2() but using an alternative
+ formalization of the method by Podelski and Rybalchenko
+ \ref BMPZ10 "[BMPZ10]".
+*/
+template <typename PSET>
+bool
+one_affine_ranking_function_PR_2(const PSET& pset_before,
+ const PSET& pset_after,
+ Generator& mu);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Like all_affine_ranking_functions_MS() but using the method by Podelski
+ and Rybalchenko \ref BMPZ10 "[BMPZ10]".
+*/
+template <typename PSET>
+void
+all_affine_ranking_functions_PR(const PSET& pset, NNC_Polyhedron& mu_space);
+
+/*! \ingroup PPL_CXX_interface \brief
+ Like all_affine_ranking_functions_MS_2() but using an alternative
+ formalization of the method by Podelski and Rybalchenko
+ \ref BMPZ10 "[BMPZ10]".
+*/
+template <typename PSET>
+void
+all_affine_ranking_functions_PR_2(const PSET& pset_before,
+ const PSET& pset_after,
+ NNC_Polyhedron& mu_space);
+
+//@} // Functions for the Synthesis of Linear Rankings
+
+} // namespace Parma_Polyhedra_Library
+
+#include "termination_templates.hh"
+
+#endif // !defined(PPL_termination_defs_hh)
diff --git a/src/termination_templates.hh b/src/termination_templates.hh
new file mode 100644
index 0000000..b106e52
--- /dev/null
+++ b/src/termination_templates.hh
@@ -0,0 +1,552 @@
+/* Utilities for termination analysis: template functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_termination_templates_hh
+#define PPL_termination_templates_hh 1
+
+#include "globals_defs.hh"
+#include "Variable_defs.hh"
+#include "Generator_defs.hh"
+#include "Constraint_System_defs.hh"
+#include "C_Polyhedron_defs.hh"
+#include "NNC_Polyhedron_defs.hh"
+
+#include <stdexcept>
+
+#define PRINT_DEBUG_INFO 0
+
+#if PRINT_DEBUG_INFO
+#include <iostream>
+#endif
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+
+namespace Termination {
+
+#if PRINT_DEBUG_INFO
+static dimension_type output_function_MS_n;
+static dimension_type output_function_MS_m;
+
+/* Encodes which object are we printing:
+
+ 0 means input constraint system;
+ 1 means first output constraint system;
+ 2 means second output constraint system;
+ 3 means only output constraint system
+ (i.e., when first and second are the same);
+ 4 means mu space.
+*/
+static int output_function_MS_which = -1;
+
+/*
+ Debugging output function. See the documentation of
+ fill_constraint_systems_MS() for the allocation of variable indices.
+*/
+inline void
+output_function_MS(std::ostream& s, const Variable v) {
+ dimension_type id = v.id();
+ switch (output_function_MS_which) {
+ case 0:
+ if (id < output_function_MS_n)
+ s << "x'" << id + 1;
+ else if (id < 2*output_function_MS_n)
+ s << "x" << id - output_function_MS_n + 1;
+ else
+ s << "WHAT?";
+ break;
+ case 1:
+ if (id < output_function_MS_n)
+ s << "mu" << id + 1;
+ else if (id == output_function_MS_n)
+ s << "WHAT?";
+ else if (id <= output_function_MS_n + output_function_MS_m)
+ s << "y" << id - output_function_MS_n;
+ else
+ s << "WHAT?";
+ break;
+ case 2:
+ case 4:
+ if (id < output_function_MS_n)
+ s << "mu" << id + 1;
+ else if (id == output_function_MS_n)
+ s << "mu0";
+ else if (output_function_MS_which == 2
+ && id <= output_function_MS_n + output_function_MS_m + 2)
+ s << "z" << id - output_function_MS_n;
+ else
+ s << "WHAT?";
+ break;
+ case 3:
+ if (id < output_function_MS_n)
+ s << "mu" << id + 1;
+ else if (id == output_function_MS_n)
+ s << "mu0";
+ else if (id <= output_function_MS_n + output_function_MS_m)
+ s << "y" << id - output_function_MS_n;
+ else if (id <= output_function_MS_n + 2*output_function_MS_m + 2)
+ s << "z" << id - (output_function_MS_n + output_function_MS_m);
+ else
+ s << "WHAT?";
+ break;
+ default:
+ abort();
+ break;
+ }
+}
+
+static dimension_type output_function_PR_s;
+static dimension_type output_function_PR_r;
+
+/*
+ Debugging output function. See the documentation of
+ fill_constraint_system_PR() for the allocation of variable indices.
+*/
+inline void
+output_function_PR(std::ostream& s, const Variable v) {
+ dimension_type id = v.id();
+ if (id < output_function_PR_s)
+ s << "u3_" << id + 1;
+ else if (id < output_function_PR_s + output_function_PR_r)
+ s << "u2_" << id - output_function_PR_s + 1;
+ else if (id < output_function_PR_s + 2*output_function_PR_r)
+ s << "u1_" << id - (output_function_PR_s + output_function_PR_r) + 1;
+ else
+ s << "WHAT?";
+}
+#endif
+
+void
+assign_all_inequalities_approximation(const Constraint_System& cs_in,
+ Constraint_System& cs_out);
+
+template <typename PSET>
+inline void
+assign_all_inequalities_approximation(const PSET& pset,
+ Constraint_System& cs) {
+ assign_all_inequalities_approximation(pset.minimized_constraints(), cs);
+}
+
+template <>
+void
+assign_all_inequalities_approximation(const C_Polyhedron& ph,
+ Constraint_System& cs);
+
+bool
+termination_test_MS(const Constraint_System& cs);
+
+bool
+one_affine_ranking_function_MS(const Constraint_System& cs,
+ Generator& mu);
+
+void
+all_affine_ranking_functions_MS(const Constraint_System& cs,
+ C_Polyhedron& mu_space);
+
+void
+all_affine_quasi_ranking_functions_MS(const Constraint_System& cs,
+ C_Polyhedron& decreasing_mu_space,
+ C_Polyhedron& bounded_mu_space);
+
+bool
+termination_test_PR(const Constraint_System& cs_before,
+ const Constraint_System& cs_after);
+
+bool
+one_affine_ranking_function_PR(const Constraint_System& cs_before,
+ const Constraint_System& cs_after,
+ Generator& mu);
+
+void
+all_affine_ranking_functions_PR(const Constraint_System& cs_before,
+ const Constraint_System& cs_after,
+ NNC_Polyhedron& mu_space);
+
+bool
+termination_test_PR_original(const Constraint_System& cs);
+
+bool
+one_affine_ranking_function_PR_original(const Constraint_System& cs,
+ Generator& mu);
+
+void
+all_affine_ranking_functions_PR_original(const Constraint_System& cs,
+ NNC_Polyhedron& mu_space);
+
+} // namespace Termination
+
+} // namespace Implementation
+
+template <typename PSET>
+void
+Termination_Helpers
+::assign_all_inequalities_approximation(const PSET& pset_before,
+ const PSET& pset_after,
+ Constraint_System& cs) {
+ Implementation::Termination
+ ::assign_all_inequalities_approximation(pset_before, cs);
+ cs.shift_space_dimensions(Variable(0), cs.space_dimension());
+ Constraint_System cs_after;
+ Implementation::Termination
+ ::assign_all_inequalities_approximation(pset_after, cs_after);
+ // FIXME: provide an "append" for constraint systems.
+ for (Constraint_System::const_iterator i = cs_after.begin(),
+ cs_after_end = cs_after.end(); i != cs_after_end; ++i)
+ cs.insert(*i);
+}
+
+template <typename PSET>
+bool
+termination_test_MS(const PSET& pset) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::termination_test_MS(pset):\n"
+ "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ return termination_test_MS(cs);
+}
+
+template <typename PSET>
+bool
+termination_test_MS_2(const PSET& pset_before, const PSET& pset_after) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::termination_test_MS_2(pset_before, pset_after):\n"
+ "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ Termination_Helpers
+ ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
+ return termination_test_MS(cs);
+}
+
+template <typename PSET>
+bool
+one_affine_ranking_function_MS(const PSET& pset, Generator& mu) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::one_affine_ranking_function_MS(pset, mu):\n"
+ "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ return one_affine_ranking_function_MS(cs, mu);
+}
+
+template <typename PSET>
+bool
+one_affine_ranking_function_MS_2(const PSET& pset_before,
+ const PSET& pset_after,
+ Generator& mu) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::one_affine_ranking_function_MS_2(pset_before, pset_after, mu):\n"
+ "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ Termination_Helpers
+ ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
+ return one_affine_ranking_function_MS(cs, mu);
+}
+
+template <typename PSET>
+void
+all_affine_ranking_functions_MS(const PSET& pset, C_Polyhedron& mu_space) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::all_affine_ranking_functions_MS(pset, mu_space):\n"
+ "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ if (pset.is_empty()) {
+ mu_space = C_Polyhedron(1 + space_dim/2, UNIVERSE);
+ return;
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ all_affine_ranking_functions_MS(cs, mu_space);
+}
+
+template <typename PSET>
+void
+all_affine_ranking_functions_MS_2(const PSET& pset_before,
+ const PSET& pset_after,
+ C_Polyhedron& mu_space) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::all_affine_ranking_functions_MS_2"
+ << "(pset_before, pset_after, mu_space):\n"
+ << "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ if (pset_before.is_empty()) {
+ mu_space = C_Polyhedron(1 + before_space_dim, UNIVERSE);
+ return;
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ Termination_Helpers
+ ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
+ all_affine_ranking_functions_MS(cs, mu_space);
+}
+
+template <typename PSET>
+void
+all_affine_quasi_ranking_functions_MS(const PSET& pset,
+ C_Polyhedron& decreasing_mu_space,
+ C_Polyhedron& bounded_mu_space) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::all_affine_quasi_ranking_functions_MS"
+ << "(pset, decr_space, bounded_space):\n"
+ << "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ if (pset.is_empty()) {
+ decreasing_mu_space = C_Polyhedron(1 + space_dim/2, UNIVERSE);
+ bounded_mu_space = decreasing_mu_space;
+ return;
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ all_affine_quasi_ranking_functions_MS(cs,
+ decreasing_mu_space,
+ bounded_mu_space);
+}
+
+template <typename PSET>
+void
+all_affine_quasi_ranking_functions_MS_2(const PSET& pset_before,
+ const PSET& pset_after,
+ C_Polyhedron& decreasing_mu_space,
+ C_Polyhedron& bounded_mu_space) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::all_affine_quasi_ranking_functions_MS_2"
+ << "(pset_before, pset_after, decr_space, bounded_space):\n"
+ << "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ if (pset_before.is_empty()) {
+ decreasing_mu_space = C_Polyhedron(1 + before_space_dim, UNIVERSE);
+ bounded_mu_space = decreasing_mu_space;
+ return;
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ Termination_Helpers
+ ::assign_all_inequalities_approximation(pset_before, pset_after, cs);
+ all_affine_quasi_ranking_functions_MS(cs,
+ decreasing_mu_space,
+ bounded_mu_space);
+}
+
+template <typename PSET>
+bool
+termination_test_PR_2(const PSET& pset_before, const PSET& pset_after) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::termination_test_PR_2(pset_before, pset_after):\n"
+ << "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs_before;
+ Constraint_System cs_after;
+ assign_all_inequalities_approximation(pset_before, cs_before);
+ assign_all_inequalities_approximation(pset_after, cs_after);
+ return termination_test_PR(cs_before, cs_after);
+}
+
+template <typename PSET>
+bool
+termination_test_PR(const PSET& pset) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::termination_test_PR(pset):\n"
+ << "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ return termination_test_PR_original(cs);
+}
+
+template <typename PSET>
+bool
+one_affine_ranking_function_PR_2(const PSET& pset_before,
+ const PSET& pset_after,
+ Generator& mu) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::one_affine_ranking_function_PR_2"
+ << "(pset_before, pset_after, mu):\n"
+ << "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs_before;
+ Constraint_System cs_after;
+ assign_all_inequalities_approximation(pset_before, cs_before);
+ assign_all_inequalities_approximation(pset_after, cs_after);
+ return one_affine_ranking_function_PR(cs_before, cs_after, mu);
+}
+
+template <typename PSET>
+bool
+one_affine_ranking_function_PR(const PSET& pset, Generator& mu) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::one_affine_ranking_function_PR(pset, mu):\n"
+ << "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ return one_affine_ranking_function_PR_original(cs, mu);
+}
+
+template <typename PSET>
+void
+all_affine_ranking_functions_PR_2(const PSET& pset_before,
+ const PSET& pset_after,
+ NNC_Polyhedron& mu_space) {
+ const dimension_type before_space_dim = pset_before.space_dimension();
+ const dimension_type after_space_dim = pset_after.space_dimension();
+ if (after_space_dim != 2*before_space_dim) {
+ std::ostringstream s;
+ s << "PPL::all_affine_ranking_functions_MS_2"
+ << "(pset_before, pset_after, mu_space):\n"
+ << "pset_before.space_dimension() == " << before_space_dim
+ << ", pset_after.space_dimension() == " << after_space_dim
+ << ";\nthe latter should be twice the former.";
+ throw std::invalid_argument(s.str());
+ }
+
+ if (pset_before.is_empty()) {
+ mu_space = NNC_Polyhedron(1 + before_space_dim);
+ return;
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs_before;
+ Constraint_System cs_after;
+ assign_all_inequalities_approximation(pset_before, cs_before);
+ assign_all_inequalities_approximation(pset_after, cs_after);
+ all_affine_ranking_functions_PR(cs_before, cs_after, mu_space);
+}
+
+template <typename PSET>
+void
+all_affine_ranking_functions_PR(const PSET& pset,
+ NNC_Polyhedron& mu_space) {
+ const dimension_type space_dim = pset.space_dimension();
+ if (space_dim % 2 != 0) {
+ std::ostringstream s;
+ s << "PPL::all_affine_ranking_functions_PR(pset, mu_space):\n"
+ << "pset.space_dimension() == " << space_dim
+ << " is odd.";
+ throw std::invalid_argument(s.str());
+ }
+
+ if (pset.is_empty()) {
+ mu_space = NNC_Polyhedron(1 + space_dim/2);
+ return;
+ }
+
+ using namespace Implementation::Termination;
+ Constraint_System cs;
+ assign_all_inequalities_approximation(pset, cs);
+ all_affine_ranking_functions_PR_original(cs, mu_space);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_termination_templates_hh)
diff --git a/src/termination_types.hh b/src/termination_types.hh
new file mode 100644
index 0000000..314c0b9
--- /dev/null
+++ b/src/termination_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_termination_types_hh
+#define PPL_termination_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Termination_Helpers;
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_termination_types_hh)
diff --git a/src/version.cc b/src/version.cc
index fbfc395..3337409 100644
--- a/src/version.cc
+++ b/src/version.cc
@@ -1,6 +1,6 @@
/* Definition of functions providing version and licensing information.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -33,7 +33,7 @@ const char version_string[] = PPL_PACKAGE_VERSION;
const char banner_string[] =
"This is "PPL_PACKAGE_NAME" (PPL) version "PPL_PACKAGE_VERSION".\n"
"Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>\n"
-"Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)\n"
+"Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)\n"
"\n"
"The PPL is free software; see the source for copying conditions.\n"
"There is NO warranty; not even for MERCHANTABILITY or FITNESS FOR A\n"
diff --git a/src/version.hh.in b/src/version.hh.in
index 0c40ac2..4d0fd20 100644
--- a/src/version.hh.in
+++ b/src/version.hh.in
@@ -1,7 +1,7 @@
/* Declaration of macros and functions providing version -*- C++ -*-
and licensing information.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/src/wrap_assign.hh b/src/wrap_assign.hh
index 3703a57..d45f9d6 100644
--- a/src/wrap_assign.hh
+++ b/src/wrap_assign.hh
@@ -1,6 +1,6 @@
/* Generic implementation of the wrap_assign() function.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,10 +24,10 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_wrap_assign_hh
#define PPL_wrap_assign_hh 1
-#include "globals.defs.hh"
-#include "Coefficient.defs.hh"
-#include "Variable.defs.hh"
-#include "Constraint_System.defs.hh"
+#include "globals_defs.hh"
+#include "Coefficient_defs.hh"
+#include "Variable_defs.hh"
+#include "Constraint_System_defs.hh"
#include "assert.hh"
namespace Parma_Polyhedra_Library {
@@ -280,7 +280,7 @@ wrap_assign(PSET& pointset,
div_2exp_assign_r(l_n, l_n, w, ROUND_DOWN);
div_2exp_assign_r(u_n, u_n, w, ROUND_DOWN);
Coefficient& first_quadrant = l_n;
- Coefficient& last_quadrant = u_n;
+ const Coefficient& last_quadrant = u_n;
// Special case: this variable does not need wrapping.
if (first_quadrant == 0 && last_quadrant == 0)
diff --git a/src/wrap_string.cc b/src/wrap_string.cc
index b9ba6f4..e789f3a 100644
--- a/src/wrap_string.cc
+++ b/src/wrap_string.cc
@@ -1,6 +1,6 @@
/* String wrapping helper function.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -32,9 +32,9 @@ namespace IO_Operators {
std::string
wrap_string(const std::string& src_string,
- const unsigned indent_depth,
- const unsigned preferred_first_line_length,
- const unsigned preferred_line_length) {
+ const unsigned indent_depth,
+ const unsigned preferred_first_line_length,
+ const unsigned preferred_line_length) {
const unsigned npos = C_Integer<unsigned>::max;
std::string dst_string;
const char *src = src_string.c_str();
@@ -48,29 +48,29 @@ wrap_string(const std::string& src_string,
unsigned idx;
for (idx = 0; idx <= line_length; ++idx) {
if (src[idx] == '\0' || src[idx] == '\n') {
- split_pos = idx;
- break;
+ split_pos = idx;
+ break;
}
if (src[idx] == ',' && idx < line_length)
- last_comma = idx;
+ last_comma = idx;
if (is_space(src[idx]) && (idx == 0 || !is_space(src[idx-1])))
- last_space = idx;
+ last_space = idx;
}
if (split_pos == npos) {
if (last_comma != npos)
- split_pos = last_comma + 1;
+ split_pos = last_comma + 1;
else if (last_space != npos)
- split_pos = last_space;
+ split_pos = last_space;
else {
- for ( ; src[idx] != '\0'; ++idx) {
- if (src[idx] == ',') {
- ++idx;
- break;
- }
- if (is_space(src[idx]))
- break;
- }
- split_pos = idx;
+ for ( ; src[idx] != '\0'; ++idx) {
+ if (src[idx] == ',') {
+ ++idx;
+ break;
+ }
+ if (is_space(src[idx]))
+ break;
+ }
+ split_pos = idx;
}
}
PPL_ASSERT(split_pos != npos);
diff --git a/src/wrap_string.hh b/src/wrap_string.hh
index 17af66b..fa278c7 100644
--- a/src/wrap_string.hh
+++ b/src/wrap_string.hh
@@ -1,6 +1,6 @@
/* Declaration of string wrapping function.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,7 +24,7 @@ site: http://bugseng.com/products/ppl/ . */
#ifndef PPL_wrap_hh
#define PPL_wrap_hh 1
-#include "globals.defs.hh"
+#include "globals_defs.hh"
namespace Parma_Polyhedra_Library {
@@ -49,9 +49,9 @@ namespace IO_Operators {
*/
std::string
wrap_string(const std::string& src_string,
- unsigned indent_depth,
- unsigned preferred_first_line_length,
- unsigned preferred_line_length);
+ unsigned indent_depth,
+ unsigned preferred_first_line_length,
+ unsigned preferred_line_length);
} // namespace IO_Operators
diff --git a/tests/BD_Shape/Makefile.am b/tests/BD_Shape/Makefile.am
index 930d68e..a517149 100644
--- a/tests/BD_Shape/Makefile.am
+++ b/tests/BD_Shape/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/BD_Shape/Makefile.in b/tests/BD_Shape/Makefile.in
index 54c8f44..a051377 100644
--- a/tests/BD_Shape/Makefile.in
+++ b/tests/BD_Shape/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -94,7 +110,8 @@ check_PROGRAMS = addconstraints1$(EXEEXT) addspacedims1$(EXEEXT) \
XFAIL_TESTS =
subdir = tests/BD_Shape
DIST_COMMON = $(dist_check_SCRIPTS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -136,6 +153,7 @@ addconstraints1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_addspacedims1_OBJECTS = addspacedims1.$(OBJEXT)
addspacedims1_OBJECTS = $(am_addspacedims1_OBJECTS)
addspacedims1_LDADD = $(LDADD)
@@ -588,6 +606,18 @@ writebdshape1_LDADD = $(LDADD)
writebdshape1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -600,20 +630,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addconstraints1_SOURCES) $(addspacedims1_SOURCES) \
$(affinedimension1_SOURCES) $(affineimage1_SOURCES) \
$(affineimage2_SOURCES) $(affinepreimage1_SOURCES) \
@@ -690,10 +716,17 @@ DIST_SOURCES = $(addconstraints1_SOURCES) $(addspacedims1_SOURCES) \
$(unconstrain1_SOURCES) $(universe1_SOURCES) \
$(upperbound1_SOURCES) $(upperboundifexact1_SOURCES) \
$(wrap1_SOURCES) $(writebdshape1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -1421,6 +1454,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1434,7 +1481,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -1661,8 +1708,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/BD_Shape/addconstraints1.cc b/tests/BD_Shape/addconstraints1.cc
index 4e91fd7..36c855c 100644
--- a/tests/BD_Shape/addconstraints1.cc
+++ b/tests/BD_Shape/addconstraints1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::add_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/addspacedims1.cc b/tests/BD_Shape/addspacedims1.cc
index 09bae2a..b5a2bf6 100644
--- a/tests/BD_Shape/addspacedims1.cc
+++ b/tests/BD_Shape/addspacedims1.cc
@@ -1,7 +1,7 @@
/* Test BD_Shape::add_space_dimensions_and_embed():
we add two variables to a BD_Shape.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/affinedimension1.cc b/tests/BD_Shape/affinedimension1.cc
index c34095a..5b06632 100644
--- a/tests/BD_Shape/affinedimension1.cc
+++ b/tests/BD_Shape/affinedimension1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::affine_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/affineimage1.cc b/tests/BD_Shape/affineimage1.cc
index 2f00331..eb9de6a 100644
--- a/tests/BD_Shape/affineimage1.cc
+++ b/tests/BD_Shape/affineimage1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/affineimage2.cc b/tests/BD_Shape/affineimage2.cc
index 0e802be..07cfca4 100644
--- a/tests/BD_Shape/affineimage2.cc
+++ b/tests/BD_Shape/affineimage2.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/affinepreimage1.cc b/tests/BD_Shape/affinepreimage1.cc
index 5196067..268cee8 100644
--- a/tests/BD_Shape/affinepreimage1.cc
+++ b/tests/BD_Shape/affinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/ascii_dump_load1.cc b/tests/BD_Shape/ascii_dump_load1.cc
index 3613e70..5161c4c 100644
--- a/tests/BD_Shape/ascii_dump_load1.cc
+++ b/tests/BD_Shape/ascii_dump_load1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::ascii_dump() and BD_Shape::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/bgp99extrapolation1.cc b/tests/BD_Shape/bgp99extrapolation1.cc
index 6cad928..e44b969 100644
--- a/tests/BD_Shape/bgp99extrapolation1.cc
+++ b/tests/BD_Shape/bgp99extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BGP99_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/bhmz05widening1.cc b/tests/BD_Shape/bhmz05widening1.cc
index 826afff..b742e0d 100644
--- a/tests/BD_Shape/bhmz05widening1.cc
+++ b/tests/BD_Shape/bhmz05widening1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BHMZ05_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/bhz03widening1.cc b/tests/BD_Shape/bhz03widening1.cc
index 789ac0a..bdc1f10 100644
--- a/tests/BD_Shape/bhz03widening1.cc
+++ b/tests/BD_Shape/bhz03widening1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BHZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/bounded1.cc b/tests/BD_Shape/bounded1.cc
index fcbecdf..205a00f 100644
--- a/tests/BD_Shape/bounded1.cc
+++ b/tests/BD_Shape/bounded1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/boundedaffineimage1.cc b/tests/BD_Shape/boundedaffineimage1.cc
index 793bb6f..f1b2ad5 100644
--- a/tests/BD_Shape/boundedaffineimage1.cc
+++ b/tests/BD_Shape/boundedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/boundedaffinepreimage1.cc b/tests/BD_Shape/boundedaffinepreimage1.cc
index 917842b..e0f39f9 100644
--- a/tests/BD_Shape/boundedaffinepreimage1.cc
+++ b/tests/BD_Shape/boundedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::bounded_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/bounds1.cc b/tests/BD_Shape/bounds1.cc
index b170e0f..63fea67 100644
--- a/tests/BD_Shape/bounds1.cc
+++ b/tests/BD_Shape/bounds1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::bounds_from_below() and BD_Shape::bounds_from_above().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/cc76extrapolation1.cc b/tests/BD_Shape/cc76extrapolation1.cc
index 46101ad..7e0c5c4 100644
--- a/tests/BD_Shape/cc76extrapolation1.cc
+++ b/tests/BD_Shape/cc76extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::CC76_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/cc76narrowing1.cc b/tests/BD_Shape/cc76narrowing1.cc
index cc915d8..9783a85 100644
--- a/tests/BD_Shape/cc76narrowing1.cc
+++ b/tests/BD_Shape/cc76narrowing1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::CC76_narrowing_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/closure1.cc b/tests/BD_Shape/closure1.cc
index bad5ee7..f86472f 100644
--- a/tests/BD_Shape/closure1.cc
+++ b/tests/BD_Shape/closure1.cc
@@ -1,6 +1,6 @@
/* Test shortest path closure.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/concatenate1.cc b/tests/BD_Shape/concatenate1.cc
index 5e2fe8f..8ea7dad 100644
--- a/tests/BD_Shape/concatenate1.cc
+++ b/tests/BD_Shape/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::concatenate_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/congruences1.cc b/tests/BD_Shape/congruences1.cc
index 759b479..4aaac30 100644
--- a/tests/BD_Shape/congruences1.cc
+++ b/tests/BD_Shape/congruences1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/constrains1.cc b/tests/BD_Shape/constrains1.cc
index 5e70a55..091dd44 100644
--- a/tests/BD_Shape/constrains1.cc
+++ b/tests/BD_Shape/constrains1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::constrains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,16 +23,16 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#define TEST_PREDICATE_TRUE(pred) \
- if (!pred) { \
- nout << "!" #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_TRUE(pred) \
+ if (!pred) { \
+ nout << "!" #pred << endl; \
+ ok = false; \
}
-#define TEST_PREDICATE_FALSE(pred) \
- if (pred) { \
- nout << #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_FALSE(pred) \
+ if (pred) { \
+ nout << #pred << endl; \
+ ok = false; \
}
namespace {
diff --git a/tests/BD_Shape/constraints1.cc b/tests/BD_Shape/constraints1.cc
index 3f94621..5e90c46 100644
--- a/tests/BD_Shape/constraints1.cc
+++ b/tests/BD_Shape/constraints1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/contains1.cc b/tests/BD_Shape/contains1.cc
index e434d97..99514f9 100644
--- a/tests/BD_Shape/contains1.cc
+++ b/tests/BD_Shape/contains1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::contains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/containsintegerpoint1.cc b/tests/BD_Shape/containsintegerpoint1.cc
index 3702215..66b3063 100644
--- a/tests/BD_Shape/containsintegerpoint1.cc
+++ b/tests/BD_Shape/containsintegerpoint1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::contains_integer_point().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/difference1.cc b/tests/BD_Shape/difference1.cc
index 8acbfa0..7bdc0cf 100644
--- a/tests/BD_Shape/difference1.cc
+++ b/tests/BD_Shape/difference1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::difference_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/discrete1.cc b/tests/BD_Shape/discrete1.cc
index 4b2dc8a..a9a56e5 100644
--- a/tests/BD_Shape/discrete1.cc
+++ b/tests/BD_Shape/discrete1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::is_discrete().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/disjoint1.cc b/tests/BD_Shape/disjoint1.cc
index 0537917..0474325 100644
--- a/tests/BD_Shape/disjoint1.cc
+++ b/tests/BD_Shape/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::is_disjoint_from(const BD_Shape& y).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/dropsomenonintegerpoints1.cc b/tests/BD_Shape/dropsomenonintegerpoints1.cc
index efd322c..f383155 100644
--- a/tests/BD_Shape/dropsomenonintegerpoints1.cc
+++ b/tests/BD_Shape/dropsomenonintegerpoints1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::drop_some_non_integer_points().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/empty1.cc b/tests/BD_Shape/empty1.cc
index c65ea7e..5990f0b 100644
--- a/tests/BD_Shape/empty1.cc
+++ b/tests/BD_Shape/empty1.cc
@@ -1,6 +1,6 @@
/* Different ways of creating an empty BD_Shape.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/equality1.cc b/tests/BD_Shape/equality1.cc
index 2089f29..cd96684 100644
--- a/tests/BD_Shape/equality1.cc
+++ b/tests/BD_Shape/equality1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::operator==().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/expandspacedim1.cc b/tests/BD_Shape/expandspacedim1.cc
index 0d03d92..3e286a0 100644
--- a/tests/BD_Shape/expandspacedim1.cc
+++ b/tests/BD_Shape/expandspacedim1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::expand_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/foldspacedims1.cc b/tests/BD_Shape/foldspacedims1.cc
index e885b56..36a3aa1 100644
--- a/tests/BD_Shape/foldspacedims1.cc
+++ b/tests/BD_Shape/foldspacedims1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::fold_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/frequency1.cc b/tests/BD_Shape/frequency1.cc
index 1306ca6..ca980b2 100644
--- a/tests/BD_Shape/frequency1.cc
+++ b/tests/BD_Shape/frequency1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::frequency().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/frombdshape1.cc b/tests/BD_Shape/frombdshape1.cc
index 828234f..982576d 100644
--- a/tests/BD_Shape/frombdshape1.cc
+++ b/tests/BD_Shape/frombdshape1.cc
@@ -1,7 +1,7 @@
/* Test BD_Shape copy construct, construction from other
BD shapes and assignment.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/frombox1.cc b/tests/BD_Shape/frombox1.cc
index 0125482..9482023 100644
--- a/tests/BD_Shape/frombox1.cc
+++ b/tests/BD_Shape/frombox1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const Box<Interval>&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/fromgensys1.cc b/tests/BD_Shape/fromgensys1.cc
index e022b7e..313dc09 100644
--- a/tests/BD_Shape/fromgensys1.cc
+++ b/tests/BD_Shape/fromgensys1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const Generator_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/fromgrid1.cc b/tests/BD_Shape/fromgrid1.cc
index 0f7e691..3bbb65c 100644
--- a/tests/BD_Shape/fromgrid1.cc
+++ b/tests/BD_Shape/fromgrid1.cc
@@ -1,7 +1,7 @@
/* Test C_Polyhedron::C_Polyhedron(const Grid&)
and NNC_Polyhedron::NNC_Polyhedron(const Grid&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/fromoctagonalshape1.cc b/tests/BD_Shape/fromoctagonalshape1.cc
index 85d0b9b..51ed504 100644
--- a/tests/BD_Shape/fromoctagonalshape1.cc
+++ b/tests/BD_Shape/fromoctagonalshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const Octagonal_Shape&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/frompolyhedron1.cc b/tests/BD_Shape/frompolyhedron1.cc
index dca7317..95c2cdd 100644
--- a/tests/BD_Shape/frompolyhedron1.cc
+++ b/tests/BD_Shape/frompolyhedron1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/fromspacedim1.cc b/tests/BD_Shape/fromspacedim1.cc
index 937826e..97aa7a4 100644
--- a/tests/BD_Shape/fromspacedim1.cc
+++ b/tests/BD_Shape/fromspacedim1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(dimension_type, Degenerate_Element).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/generalizedaffineimage1.cc b/tests/BD_Shape/generalizedaffineimage1.cc
index ae57b1e..9c533c3 100644
--- a/tests/BD_Shape/generalizedaffineimage1.cc
+++ b/tests/BD_Shape/generalizedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/generalizedaffineimage2.cc b/tests/BD_Shape/generalizedaffineimage2.cc
index 3d00e76..35bad23 100644
--- a/tests/BD_Shape/generalizedaffineimage2.cc
+++ b/tests/BD_Shape/generalizedaffineimage2.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/generalizedaffinepreimage1.cc b/tests/BD_Shape/generalizedaffinepreimage1.cc
index c1a8551..336e7d9 100644
--- a/tests/BD_Shape/generalizedaffinepreimage1.cc
+++ b/tests/BD_Shape/generalizedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/generalizedaffinepreimage2.cc b/tests/BD_Shape/generalizedaffinepreimage2.cc
index f0d5ae0..63f19a3 100644
--- a/tests/BD_Shape/generalizedaffinepreimage2.cc
+++ b/tests/BD_Shape/generalizedaffinepreimage2.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/generalizedaffinepreimage3.cc b/tests/BD_Shape/generalizedaffinepreimage3.cc
index b1aa63b..90b3388 100644
--- a/tests/BD_Shape/generalizedaffinepreimage3.cc
+++ b/tests/BD_Shape/generalizedaffinepreimage3.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/geomcovers1.cc b/tests/BD_Shape/geomcovers1.cc
index 3e24f00..0a734f9 100644
--- a/tests/BD_Shape/geomcovers1.cc
+++ b/tests/BD_Shape/geomcovers1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<BD_Shape>::geometrically_covers().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/h79widening1.cc b/tests/BD_Shape/h79widening1.cc
index 658b0b9..da59149 100644
--- a/tests/BD_Shape/h79widening1.cc
+++ b/tests/BD_Shape/h79widening1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::H79_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/integerupperboundifexact1.cc b/tests/BD_Shape/integerupperboundifexact1.cc
index fc9bbc8..b222eab 100644
--- a/tests/BD_Shape/integerupperboundifexact1.cc
+++ b/tests/BD_Shape/integerupperboundifexact1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::integer_upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/intersection1.cc b/tests/BD_Shape/intersection1.cc
index 85d7e6c..4a02ae5 100644
--- a/tests/BD_Shape/intersection1.cc
+++ b/tests/BD_Shape/intersection1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/limitedbhmz05extrapolation1.cc b/tests/BD_Shape/limitedbhmz05extrapolation1.cc
index c8f7f77..9c33473 100644
--- a/tests/BD_Shape/limitedbhmz05extrapolation1.cc
+++ b/tests/BD_Shape/limitedbhmz05extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::limited_BHMZ05_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/limitedcc76extrapolation1.cc b/tests/BD_Shape/limitedcc76extrapolation1.cc
index 5987046..ceb222c 100644
--- a/tests/BD_Shape/limitedcc76extrapolation1.cc
+++ b/tests/BD_Shape/limitedcc76extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::limited_CC76_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/limitedh79extrapolation1.cc b/tests/BD_Shape/limitedh79extrapolation1.cc
index a51f5b2..95836c2 100644
--- a/tests/BD_Shape/limitedh79extrapolation1.cc
+++ b/tests/BD_Shape/limitedh79extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::limited_H79_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/mapspacedims1.cc b/tests/BD_Shape/mapspacedims1.cc
index d8889f4..84b1223 100644
--- a/tests/BD_Shape/mapspacedims1.cc
+++ b/tests/BD_Shape/mapspacedims1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::map_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/max_min1.cc b/tests/BD_Shape/max_min1.cc
index 3b713ac..283592b 100644
--- a/tests/BD_Shape/max_min1.cc
+++ b/tests/BD_Shape/max_min1.cc
@@ -1,7 +1,7 @@
/* Test BD_Shape::maximize(const Linear_Expression&, ...)
and BD_Shape::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/max_min2.cc b/tests/BD_Shape/max_min2.cc
index d783ccf..11001ca 100644
--- a/tests/BD_Shape/max_min2.cc
+++ b/tests/BD_Shape/max_min2.cc
@@ -1,7 +1,7 @@
/* Test BD_Shape::maximize(const Linear_Expression&, ...)
and BD_Shape::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/maxspacedim1.cc b/tests/BD_Shape/maxspacedim1.cc
index 8cb0b55..c3cb1b6 100644
--- a/tests/BD_Shape/maxspacedim1.cc
+++ b/tests/BD_Shape/maxspacedim1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::max_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/membytes1.cc b/tests/BD_Shape/membytes1.cc
index a17c9bd..d43396b 100644
--- a/tests/BD_Shape/membytes1.cc
+++ b/tests/BD_Shape/membytes1.cc
@@ -1,6 +1,6 @@
/* Test the total_memory_in_bytes() and external_memory_in_bytes() methods.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/minconstraints1.cc b/tests/BD_Shape/minconstraints1.cc
index 3b70ddb..08cb03d 100644
--- a/tests/BD_Shape/minconstraints1.cc
+++ b/tests/BD_Shape/minconstraints1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape<T>::minimized_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/relations1.cc b/tests/BD_Shape/relations1.cc
index ec64084..4cf7b40 100644
--- a/tests/BD_Shape/relations1.cc
+++ b/tests/BD_Shape/relations1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/relations2.cc b/tests/BD_Shape/relations2.cc
index cde8853..0ed503b 100644
--- a/tests/BD_Shape/relations2.cc
+++ b/tests/BD_Shape/relations2.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/relations3.cc b/tests/BD_Shape/relations3.cc
index 43063b7..db5aae6 100644
--- a/tests/BD_Shape/relations3.cc
+++ b/tests/BD_Shape/relations3.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/relations4.cc b/tests/BD_Shape/relations4.cc
index 451bb7c..4519c68 100644
--- a/tests/BD_Shape/relations4.cc
+++ b/tests/BD_Shape/relations4.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/removespacedims1.cc b/tests/BD_Shape/removespacedims1.cc
index 6df6496..3972733 100644
--- a/tests/BD_Shape/removespacedims1.cc
+++ b/tests/BD_Shape/removespacedims1.cc
@@ -1,6 +1,6 @@
/* Remove some variables from the space.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/run_tests b/tests/BD_Shape/run_tests
index 2d572a2..ad5730e 100755
--- a/tests/BD_Shape/run_tests
+++ b/tests/BD_Shape/run_tests
@@ -2,7 +2,7 @@
# Run the BD_Shape tests.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/BD_Shape/simplifyusingcontext1.cc b/tests/BD_Shape/simplifyusingcontext1.cc
index fe67333..cbe21a7 100644
--- a/tests/BD_Shape/simplifyusingcontext1.cc
+++ b/tests/BD_Shape/simplifyusingcontext1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::simplify_using_context_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/timeelapse1.cc b/tests/BD_Shape/timeelapse1.cc
index 5ac4ed8..71e9e60 100644
--- a/tests/BD_Shape/timeelapse1.cc
+++ b/tests/BD_Shape/timeelapse1.cc
@@ -1,6 +1,6 @@
/* Test time_elapse_assign() for particular polyhedra.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/unconstrain1.cc b/tests/BD_Shape/unconstrain1.cc
index 215d2e1..747a36e 100644
--- a/tests/BD_Shape/unconstrain1.cc
+++ b/tests/BD_Shape/unconstrain1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::unconstrain().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/universe1.cc b/tests/BD_Shape/universe1.cc
index 427e40b..1d4b9eb 100644
--- a/tests/BD_Shape/universe1.cc
+++ b/tests/BD_Shape/universe1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::is_universe().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/upperbound1.cc b/tests/BD_Shape/upperbound1.cc
index 9d635d2..05a8c15 100644
--- a/tests/BD_Shape/upperbound1.cc
+++ b/tests/BD_Shape/upperbound1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::upper_bound_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/upperboundifexact1.cc b/tests/BD_Shape/upperboundifexact1.cc
index ed18f67..cc90f37 100644
--- a/tests/BD_Shape/upperboundifexact1.cc
+++ b/tests/BD_Shape/upperboundifexact1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/wrap1.cc b/tests/BD_Shape/wrap1.cc
index 2f66b3e..fdfcdf4 100644
--- a/tests/BD_Shape/wrap1.cc
+++ b/tests/BD_Shape/wrap1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::wrap_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/BD_Shape/writebdshape1.cc b/tests/BD_Shape/writebdshape1.cc
index 019f696..bf04e8e 100644
--- a/tests/BD_Shape/writebdshape1.cc
+++ b/tests/BD_Shape/writebdshape1.cc
@@ -1,6 +1,6 @@
/* Test operator<<(ostream&, const BD_Shape&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/Makefile.am b/tests/Box/Makefile.am
index 3d923cf..7b82a18 100644
--- a/tests/Box/Makefile.am
+++ b/tests/Box/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Box/Makefile.in b/tests/Box/Makefile.in
index 32134de..ca12c22 100644
--- a/tests/Box/Makefile.in
+++ b/tests/Box/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_3) $(am__EXEEXT_4)
subdir = tests/Box
DIST_COMMON = $(dist_check_SCRIPTS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -138,6 +155,7 @@ addconstraints1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_addspacedims1_OBJECTS = addspacedims1.$(OBJEXT)
addspacedims1_OBJECTS = $(am_addspacedims1_OBJECTS)
addspacedims1_LDADD = $(LDADD)
@@ -587,6 +605,18 @@ writebox1_LDADD = $(LDADD)
writebox1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -599,20 +629,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addconstraints1_SOURCES) $(addspacedims1_SOURCES) \
$(affinedimension1_SOURCES) $(affineimage1_SOURCES) \
$(affinepreimage1_SOURCES) $(ascii_dump_load1_SOURCES) \
@@ -693,10 +719,17 @@ DIST_SOURCES = $(addconstraints1_SOURCES) $(addspacedims1_SOURCES) \
$(universe1_SOURCES) $(upperbound1_SOURCES) \
$(upperboundifexact1_SOURCES) $(wrap1_SOURCES) \
$(writebox1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -1510,6 +1543,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1523,7 +1570,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -1750,8 +1797,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Box/addconstraints1.cc b/tests/Box/addconstraints1.cc
index d713a8c..0dfee27 100644
--- a/tests/Box/addconstraints1.cc
+++ b/tests/Box/addconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Box::add_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/addspacedims1.cc b/tests/Box/addspacedims1.cc
index 428d8a5..0e7f489 100644
--- a/tests/Box/addspacedims1.cc
+++ b/tests/Box/addspacedims1.cc
@@ -1,7 +1,7 @@
/* Test Box::add_space_dimensions_and_embed():
we add two variables to a Box.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/affinedimension1.cc b/tests/Box/affinedimension1.cc
index 65f4685..cd5efe7 100644
--- a/tests/Box/affinedimension1.cc
+++ b/tests/Box/affinedimension1.cc
@@ -1,6 +1,6 @@
/* Test Box::affine_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/affineimage1.cc b/tests/Box/affineimage1.cc
index 5339750..cf91d94 100644
--- a/tests/Box/affineimage1.cc
+++ b/tests/Box/affineimage1.cc
@@ -1,6 +1,6 @@
/* Test Box::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/affinepreimage1.cc b/tests/Box/affinepreimage1.cc
index 1f3ddb7..32bca96 100644
--- a/tests/Box/affinepreimage1.cc
+++ b/tests/Box/affinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Box::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/ascii_dump_load1.cc b/tests/Box/ascii_dump_load1.cc
index f9237a5..704b472 100644
--- a/tests/Box/ascii_dump_load1.cc
+++ b/tests/Box/ascii_dump_load1.cc
@@ -1,6 +1,6 @@
/* Test Box::ascii_dump() and Box::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/bgp99extrapolation1.cc b/tests/Box/bgp99extrapolation1.cc
index c056082..0022d4f 100644
--- a/tests/Box/bgp99extrapolation1.cc
+++ b/tests/Box/bgp99extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BGP99_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/bhz03widening1.cc b/tests/Box/bhz03widening1.cc
index 19ef69a..106ffc5 100644
--- a/tests/Box/bhz03widening1.cc
+++ b/tests/Box/bhz03widening1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BHZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/bounded1.cc b/tests/Box/bounded1.cc
index 42ddb21..dabdf00 100644
--- a/tests/Box/bounded1.cc
+++ b/tests/Box/bounded1.cc
@@ -1,6 +1,6 @@
/* Test Box::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/boundedaffineimage1.cc b/tests/Box/boundedaffineimage1.cc
index c39fcf3..4ee40a2 100644
--- a/tests/Box/boundedaffineimage1.cc
+++ b/tests/Box/boundedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Box::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/boundedaffinepreimage1.cc b/tests/Box/boundedaffinepreimage1.cc
index 1eee1b7..ce740dc 100644
--- a/tests/Box/boundedaffinepreimage1.cc
+++ b/tests/Box/boundedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Box::bounded_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/cc76narrowing1.cc b/tests/Box/cc76narrowing1.cc
index 172dc24..0d87fc1 100644
--- a/tests/Box/cc76narrowing1.cc
+++ b/tests/Box/cc76narrowing1.cc
@@ -1,6 +1,6 @@
/* Test Box::CC76_narrowing_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/cc76widening.cc b/tests/Box/cc76widening.cc
index 4c80c4d..b125612 100644
--- a/tests/Box/cc76widening.cc
+++ b/tests/Box/cc76widening.cc
@@ -1,6 +1,6 @@
/* Test Box::CC76_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/concatenate1.cc b/tests/Box/concatenate1.cc
index 53f1496..45e7aa8 100644
--- a/tests/Box/concatenate1.cc
+++ b/tests/Box/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test Box::concatenate_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/congruences1.cc b/tests/Box/congruences1.cc
index 860e24b..861779f 100644
--- a/tests/Box/congruences1.cc
+++ b/tests/Box/congruences1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const Congruence_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/constrains1.cc b/tests/Box/constrains1.cc
index 76a1835..ce7bee4 100644
--- a/tests/Box/constrains1.cc
+++ b/tests/Box/constrains1.cc
@@ -1,6 +1,6 @@
/* Test Box::constrains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,16 +23,16 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#define TEST_PREDICATE_TRUE(pred) \
- if (!pred) { \
- nout << "!" #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_TRUE(pred) \
+ if (!pred) { \
+ nout << "!" #pred << endl; \
+ ok = false; \
}
-#define TEST_PREDICATE_FALSE(pred) \
- if (pred) { \
- nout << #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_FALSE(pred) \
+ if (pred) { \
+ nout << #pred << endl; \
+ ok = false; \
}
namespace {
diff --git a/tests/Box/constraints1.cc b/tests/Box/constraints1.cc
index 033d5c8..49ae495 100644
--- a/tests/Box/constraints1.cc
+++ b/tests/Box/constraints1.cc
@@ -1,6 +1,6 @@
/* Test Box::constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/contains1.cc b/tests/Box/contains1.cc
index 4eb2b5c..0e09726 100644
--- a/tests/Box/contains1.cc
+++ b/tests/Box/contains1.cc
@@ -1,6 +1,6 @@
/* Test Box::contains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/containsintegerpoint1.cc b/tests/Box/containsintegerpoint1.cc
index 4ce414f..bb87bda 100644
--- a/tests/Box/containsintegerpoint1.cc
+++ b/tests/Box/containsintegerpoint1.cc
@@ -1,6 +1,6 @@
/* Test Box::contains_integer_point().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/difference1.cc b/tests/Box/difference1.cc
index 623b58e..208ac5c 100644
--- a/tests/Box/difference1.cc
+++ b/tests/Box/difference1.cc
@@ -1,6 +1,6 @@
/* Test Box::difference_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/discrete1.cc b/tests/Box/discrete1.cc
index 78f51be..f69b0b2 100644
--- a/tests/Box/discrete1.cc
+++ b/tests/Box/discrete1.cc
@@ -1,6 +1,6 @@
/* Test Box::is_discrete().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/disjoint1.cc b/tests/Box/disjoint1.cc
index 64ac523..44861d2 100644
--- a/tests/Box/disjoint1.cc
+++ b/tests/Box/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test Box::is_disjoint_from(const Box& y).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/empty1.cc b/tests/Box/empty1.cc
index 26b894e..dd60569 100644
--- a/tests/Box/empty1.cc
+++ b/tests/Box/empty1.cc
@@ -1,6 +1,6 @@
/* Different ways of creating an empty Box.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/equality1.cc b/tests/Box/equality1.cc
index 30f6e72..df59182 100644
--- a/tests/Box/equality1.cc
+++ b/tests/Box/equality1.cc
@@ -1,6 +1,6 @@
/* Test Box::operator==().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/expandspacedim1.cc b/tests/Box/expandspacedim1.cc
index d8410b4..e11ad1a 100644
--- a/tests/Box/expandspacedim1.cc
+++ b/tests/Box/expandspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Box::expand_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/foldspacedims1.cc b/tests/Box/foldspacedims1.cc
index a3bb7e0..a6cb5ba 100644
--- a/tests/Box/foldspacedims1.cc
+++ b/tests/Box/foldspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Box::fold_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/frequency1.cc b/tests/Box/frequency1.cc
index 22f56e5..7ab5a4e 100644
--- a/tests/Box/frequency1.cc
+++ b/tests/Box/frequency1.cc
@@ -1,6 +1,6 @@
/* Test Box::frequency().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/frombdshape1.cc b/tests/Box/frombdshape1.cc
index e39ef4b..9f28610 100644
--- a/tests/Box/frombdshape1.cc
+++ b/tests/Box/frombdshape1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const BD_Shape&, Complexity_Class).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/frombox1.cc b/tests/Box/frombox1.cc
index 739e3db..742c36a 100644
--- a/tests/Box/frombox1.cc
+++ b/tests/Box/frombox1.cc
@@ -1,6 +1,6 @@
/* Test Box<Interval>::Box(const Box<Other_Interval>&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/fromgensys1.cc b/tests/Box/fromgensys1.cc
index e5a806c..44df261 100644
--- a/tests/Box/fromgensys1.cc
+++ b/tests/Box/fromgensys1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const Generator_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/fromgrid1.cc b/tests/Box/fromgrid1.cc
index 8d17e23..3aea0f3 100644
--- a/tests/Box/fromgrid1.cc
+++ b/tests/Box/fromgrid1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const Grid&, Complexity_Class).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/frompartiallyreducedproduct1.cc b/tests/Box/frompartiallyreducedproduct1.cc
index f6b758a..2000dd1 100644
--- a/tests/Box/frompartiallyreducedproduct1.cc
+++ b/tests/Box/frompartiallyreducedproduct1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const Direct_Product<D1, D2>&, Complexity_Class).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/frompolyhedron1.cc b/tests/Box/frompolyhedron1.cc
index e9578f9..eeb56fd 100644
--- a/tests/Box/frompolyhedron1.cc
+++ b/tests/Box/frompolyhedron1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const Polyhedron&, Complexity_Class).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/frompolyhedron2.cc b/tests/Box/frompolyhedron2.cc
index 7441e14..f88d563 100644
--- a/tests/Box/frompolyhedron2.cc
+++ b/tests/Box/frompolyhedron2.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(const NNC_Polyhedron&, Complexity_Class).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/fromspacedim1.cc b/tests/Box/fromspacedim1.cc
index aa736e3..6aa0aee 100644
--- a/tests/Box/fromspacedim1.cc
+++ b/tests/Box/fromspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Box::Box(dimension_type, Degenerate_Element).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/generalizedaffineimage1.cc b/tests/Box/generalizedaffineimage1.cc
index 789fb1d..7792965 100644
--- a/tests/Box/generalizedaffineimage1.cc
+++ b/tests/Box/generalizedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Box::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/generalizedaffineimage2.cc b/tests/Box/generalizedaffineimage2.cc
index 10c44e2..2270dd3 100644
--- a/tests/Box/generalizedaffineimage2.cc
+++ b/tests/Box/generalizedaffineimage2.cc
@@ -1,6 +1,6 @@
/* Test Box::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/generalizedaffinepreimage1.cc b/tests/Box/generalizedaffinepreimage1.cc
index 1de8021..816edcc 100644
--- a/tests/Box/generalizedaffinepreimage1.cc
+++ b/tests/Box/generalizedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/*Test Box::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/geomcovers1.cc b/tests/Box/geomcovers1.cc
index 7e10521..8b95cc5 100644
--- a/tests/Box/geomcovers1.cc
+++ b/tests/Box/geomcovers1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<Box>::geometrically_covers().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/intersection1.cc b/tests/Box/intersection1.cc
index f1e5bcb..015e7a4 100644
--- a/tests/Box/intersection1.cc
+++ b/tests/Box/intersection1.cc
@@ -1,6 +1,6 @@
/* Test Box::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/interval1.cc b/tests/Box/interval1.cc
index 4c59a54..5d8efbe 100644
--- a/tests/Box/interval1.cc
+++ b/tests/Box/interval1.cc
@@ -1,7 +1,7 @@
/* Test Box::add_space_dimensions_and_embed():
we add two variables to a Box.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/limitedcc76extrapolation1.cc b/tests/Box/limitedcc76extrapolation1.cc
index a2be344..a15caab 100644
--- a/tests/Box/limitedcc76extrapolation1.cc
+++ b/tests/Box/limitedcc76extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Box::limited_CC76_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/mapspacedims1.cc b/tests/Box/mapspacedims1.cc
index 1e90432..d194122 100644
--- a/tests/Box/mapspacedims1.cc
+++ b/tests/Box/mapspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Box::map_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/max_min1.cc b/tests/Box/max_min1.cc
index 513eac8..81eec69 100644
--- a/tests/Box/max_min1.cc
+++ b/tests/Box/max_min1.cc
@@ -1,7 +1,7 @@
/* Test Box::maximize(const Linear_Expression&, ...)
and Box::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/maxspacedim1.cc b/tests/Box/maxspacedim1.cc
index 35e10a1..b194d6c 100644
--- a/tests/Box/maxspacedim1.cc
+++ b/tests/Box/maxspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Box::max_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/membytes1.cc b/tests/Box/membytes1.cc
index 4649659..a2a99c5 100644
--- a/tests/Box/membytes1.cc
+++ b/tests/Box/membytes1.cc
@@ -1,6 +1,6 @@
/* Test the total_memory_in_bytes() and external_memory_in_bytes() methods.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/minconstraints1.cc b/tests/Box/minconstraints1.cc
index d9960f5..c21ac34 100644
--- a/tests/Box/minconstraints1.cc
+++ b/tests/Box/minconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Box<T>::minimized_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/propagateconstraints1.cc b/tests/Box/propagateconstraints1.cc
index b7aac8f..79a3d24 100644
--- a/tests/Box/propagateconstraints1.cc
+++ b/tests/Box/propagateconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Box::propagate_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/propagateconstraints2.cc b/tests/Box/propagateconstraints2.cc
index a17acb8..3a18d5f 100644
--- a/tests/Box/propagateconstraints2.cc
+++ b/tests/Box/propagateconstraints2.cc
@@ -1,6 +1,6 @@
/* Test Box::propagate_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/refinewithcongruence1.cc b/tests/Box/refinewithcongruence1.cc
index 6b61c50..9def123 100644
--- a/tests/Box/refinewithcongruence1.cc
+++ b/tests/Box/refinewithcongruence1.cc
@@ -1,6 +1,6 @@
/* Test Box::refine_with_congruences(const Congruence_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -191,5 +191,7 @@ BEGIN_MAIN
DO_TEST(test02);
DO_TEST(test03);
DO_TEST(test04);
+ DO_TEST(test05);
+ DO_TEST(test06);
DO_TEST(test07);
END_MAIN
diff --git a/tests/Box/refinewithcongruences1.cc b/tests/Box/refinewithcongruences1.cc
index 020fb90..3f4a8d0 100644
--- a/tests/Box/refinewithcongruences1.cc
+++ b/tests/Box/refinewithcongruences1.cc
@@ -1,6 +1,6 @@
/* Test Box::refine_with_congruences(const Congruence_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -122,7 +122,8 @@ test05() {
cgs.insert(B %= 0);
cgs.insert(C %= 7);
- TBox box(cgs);
+ TBox box(3);
+ box.refine_with_congruences(cgs);
TBox box1(box.congruences());
@@ -147,16 +148,13 @@ test06() {
Congruence_System cgs;
cgs.insert((A %= 7) / 0);
cgs.insert((B %= 3) / 0);
- // This inconsistent equality is ignored when congruences
- // are added to the box.
cgs.insert((A + B %= 0) / 0);
cgs.insert(C %= 7);
- TBox box(cgs);
+ TBox box(3);
+ box.refine_with_congruences(cgs);
- Rational_Box known_result(3);
- known_result.add_constraint(A == 7);
- known_result.add_constraint(B == 3);
+ Rational_Box known_result(3, EMPTY);
bool ok = check_result(box, known_result);
@@ -376,6 +374,8 @@ BEGIN_MAIN
DO_TEST(test02);
DO_TEST(test03);
DO_TEST(test04);
+ DO_TEST(test05);
+ DO_TEST(test06);
DO_TEST(test07);
DO_TEST(test08);
DO_TEST(test09);
diff --git a/tests/Box/refinewithconstraint1.cc b/tests/Box/refinewithconstraint1.cc
index fbb7acc..50d9f0f 100644
--- a/tests/Box/refinewithconstraint1.cc
+++ b/tests/Box/refinewithconstraint1.cc
@@ -1,6 +1,6 @@
/* Test Box::refine_with_constraint(const Constraint&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/refinewithconstraint2.cc b/tests/Box/refinewithconstraint2.cc
index c5b71b0..98934db 100644
--- a/tests/Box/refinewithconstraint2.cc
+++ b/tests/Box/refinewithconstraint2.cc
@@ -1,6 +1,6 @@
/* Test Box::refine_with_constraint(const Constraint&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/refinewithconstraints1.cc b/tests/Box/refinewithconstraints1.cc
index fc986c6..2f2de64 100644
--- a/tests/Box/refinewithconstraints1.cc
+++ b/tests/Box/refinewithconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Box::refine_with_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/refinewithconstraints2.cc b/tests/Box/refinewithconstraints2.cc
index 39f04fb..3e30eda 100644
--- a/tests/Box/refinewithconstraints2.cc
+++ b/tests/Box/refinewithconstraints2.cc
@@ -1,7 +1,7 @@
/* Test Box::refine_with_constraints(const Constraint_System&) with
instances that may require a watchdog timer.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/relations1.cc b/tests/Box/relations1.cc
index 5d4732c..af5a5a2 100644
--- a/tests/Box/relations1.cc
+++ b/tests/Box/relations1.cc
@@ -1,6 +1,6 @@
/* Test Box::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/relations2.cc b/tests/Box/relations2.cc
index cbc8620..bd1833d 100644
--- a/tests/Box/relations2.cc
+++ b/tests/Box/relations2.cc
@@ -1,6 +1,6 @@
/* Test Box::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/relations3.cc b/tests/Box/relations3.cc
index 350a283..4a20c8a 100644
--- a/tests/Box/relations3.cc
+++ b/tests/Box/relations3.cc
@@ -1,6 +1,6 @@
/* Test Box::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/relations4.cc b/tests/Box/relations4.cc
index 83b1f02..342d2f3 100644
--- a/tests/Box/relations4.cc
+++ b/tests/Box/relations4.cc
@@ -1,6 +1,6 @@
/* Test Box::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/removespacedims1.cc b/tests/Box/removespacedims1.cc
index 4ace914..4ebc992 100644
--- a/tests/Box/removespacedims1.cc
+++ b/tests/Box/removespacedims1.cc
@@ -1,6 +1,6 @@
/* Remove some variables from the space.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/run_tests b/tests/Box/run_tests
index dff47d6..6a9c2b4 100755
--- a/tests/Box/run_tests
+++ b/tests/Box/run_tests
@@ -2,7 +2,7 @@
# Run the Box tests.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Box/simplifyusingcontext1.cc b/tests/Box/simplifyusingcontext1.cc
index 7afc558..83a2e53 100644
--- a/tests/Box/simplifyusingcontext1.cc
+++ b/tests/Box/simplifyusingcontext1.cc
@@ -1,6 +1,6 @@
/* Test Box::simplify_using_context_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/timeelapse1.cc b/tests/Box/timeelapse1.cc
index c6c4a2c..06af25c 100644
--- a/tests/Box/timeelapse1.cc
+++ b/tests/Box/timeelapse1.cc
@@ -1,6 +1,6 @@
/* Test Box<Interval>::time_elapse_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/topclosed1.cc b/tests/Box/topclosed1.cc
index f299abe..9a32cb8 100644
--- a/tests/Box/topclosed1.cc
+++ b/tests/Box/topclosed1.cc
@@ -1,6 +1,6 @@
/* Test Box::is_topologically_closed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/unconstrain1.cc b/tests/Box/unconstrain1.cc
index 94c70f7..00ac3ca 100644
--- a/tests/Box/unconstrain1.cc
+++ b/tests/Box/unconstrain1.cc
@@ -1,6 +1,6 @@
/* Test Box::unconstrain().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/universe1.cc b/tests/Box/universe1.cc
index a25513d..e169b3f 100644
--- a/tests/Box/universe1.cc
+++ b/tests/Box/universe1.cc
@@ -1,6 +1,6 @@
/* Test Box::is_universe().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/upperbound1.cc b/tests/Box/upperbound1.cc
index d011423..f46b881 100644
--- a/tests/Box/upperbound1.cc
+++ b/tests/Box/upperbound1.cc
@@ -1,6 +1,6 @@
/* Test Box::upper_bound_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/upperboundifexact1.cc b/tests/Box/upperboundifexact1.cc
index 52e7a65..0022fd3 100644
--- a/tests/Box/upperboundifexact1.cc
+++ b/tests/Box/upperboundifexact1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/wrap1.cc b/tests/Box/wrap1.cc
index 87e722f..a579d0e 100644
--- a/tests/Box/wrap1.cc
+++ b/tests/Box/wrap1.cc
@@ -1,6 +1,6 @@
/* Test Box::wrap_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Box/writebox1.cc b/tests/Box/writebox1.cc
index d7231ae..a54a49e 100644
--- a/tests/Box/writebox1.cc
+++ b/tests/Box/writebox1.cc
@@ -1,6 +1,6 @@
/* Test operator<<(ostream&, const Box&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/CO_Tree/Makefile.am b/tests/CO_Tree/Makefile.am
index a7a8cee..12048cc 100644
--- a/tests/CO_Tree/Makefile.am
+++ b/tests/CO_Tree/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/CO_Tree/Makefile.in b/tests/CO_Tree/Makefile.in
index d09f082..ea17ce8 100644
--- a/tests/CO_Tree/Makefile.in
+++ b/tests/CO_Tree/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ TESTS = cotree1$(EXEEXT)
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1) $(am__EXEEXT_2)
subdir = tests/CO_Tree
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -104,6 +121,19 @@ cotree1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -116,26 +146,29 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(cotree1_SOURCES)
DIST_SOURCES = $(cotree1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -488,6 +521,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -501,7 +548,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -724,8 +771,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/CO_Tree/cotree1.cc b/tests/CO_Tree/cotree1.cc
index b65d6ef..c0a5361 100644
--- a/tests/CO_Tree/cotree1.cc
+++ b/tests/CO_Tree/cotree1.cc
@@ -1,6 +1,6 @@
/* Test the CO_Tree class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/C_Expr.cc b/tests/Concrete_Expression/C_Expr.cc
index 25c8c79..977b71b 100644
--- a/tests/Concrete_Expression/C_Expr.cc
+++ b/tests/Concrete_Expression/C_Expr.cc
@@ -1,7 +1,7 @@
/* Definitions for the C_Expr class and its subclasses: non-inline,
non-template functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -24,7 +24,7 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#include "C_Expr.defs.hh"
+#include "C_Expr_defs.hh"
int
main() {
diff --git a/tests/Concrete_Expression/C_Expr.defs.hh b/tests/Concrete_Expression/C_Expr.defs.hh
deleted file mode 100644
index 9e109bc..0000000
--- a/tests/Concrete_Expression/C_Expr.defs.hh
+++ /dev/null
@@ -1,257 +0,0 @@
-/* Declarations for the C_Expr class and its subclasses.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_C_Expr_defs_hh
-#define PPL_C_Expr_defs_hh 1
-
-#include "Concrete_Expression.defs.hh"
-
-namespace Parma_Polyhedra_Library {
-
-struct C_Expr;
-
-enum C_Expr_Kind {
- BOP,
- UOP,
- CAST,
- INT_CON,
- FP_CON,
- APPROX_REF
-};
-
-//! Toy class for testing analysis of floating point computations.
-template <>
-class Concrete_Expression<C_Expr> : public Concrete_Expression_Common<C_Expr> {
-public:
- //! Builds a concrete expression of the given kind.
- Concrete_Expression<C_Expr>(Concrete_Expression_Type type, C_Expr_Kind KIND);
-
- //! Returns the type of \* this.
- Concrete_Expression_Type type() const;
-
- //! Returns the kind of \* this.
- Concrete_Expression_Kind kind() const;
-
- //! The expression's type.
- Concrete_Expression_Type expr_type;
-
- //! The expression's kind.
- C_Expr_Kind expr_kind;
-};
-
-template <>
-class Binary_Operator<C_Expr> : public Concrete_Expression<C_Expr>,
- public Binary_Operator_Common<C_Expr> {
-public:
- //! Constructor from operator, lhs and rhs.
- Binary_Operator<C_Expr>(Concrete_Expression_Type type,
- Concrete_Expression_BOP binary_operator,
- const Concrete_Expression<C_Expr>* left_hand_side,
- const Concrete_Expression<C_Expr>* right_hand_side);
-
- //! Do-nothing destructor.
- ~Binary_Operator<C_Expr>();
-
- //! Returns the type of \p *this.
- Concrete_Expression_Type type() const;
-
- //! Returns the binary operator of \p *this.
- Concrete_Expression_BOP binary_operator() const;
-
- //! Returns the left-hand side of \p *this.
- const Concrete_Expression<C_Expr>* left_hand_side() const;
-
- //! Returns the right-hand side of \p *this.
- const Concrete_Expression<C_Expr>* right_hand_side() const;
-
- //! Constant identifying binary operator nodes.
- enum Kind {
- KIND = BOP
- };
-
- //! Constants encoding the different binary operators.
- enum Operation {
- ADD,
- SUB,
- MUL,
- DIV,
- REM,
- BAND,
- BOR,
- BXOR,
- LSHIFT,
- RSHIFT
- };
-
- //! The operator of \p *this.
- const Concrete_Expression_BOP bop;
-
- //! The left-hand side of \p *this.
- const Concrete_Expression<C_Expr>* lhs;
-
- //! The right-hand side of \p *this.
- const Concrete_Expression<C_Expr>* rhs;
-};
-
-template <>
-class Unary_Operator<C_Expr> : public Concrete_Expression<C_Expr>,
- public Unary_Operator_Common<C_Expr> {
-public:
- //! Constructor from operator and argument.
- Unary_Operator<C_Expr>(Concrete_Expression_Type type,
- Concrete_Expression_UOP unary_operator,
- const Concrete_Expression<C_Expr>* argument);
-
- //! Do-nothing destructor.
- ~Unary_Operator<C_Expr>();
-
- //! Returns the type of \p *this.
- Concrete_Expression_Type type() const;
-
- //! Returns the unary operator of \p *this.
- Concrete_Expression_UOP unary_operator() const;
-
- //! Returns the argument of \p *this.
- const Concrete_Expression<C_Expr>* argument() const;
-
- //! Constant identifying unary operator nodes.
- enum Kind {
- KIND = UOP
- };
-
- //! Constants encoding the different unary operators.
- enum Operation {
- UPLUS,
- UMINUS,
- BNOT
- };
-
- //! The operator of \p *this.
- const Concrete_Expression_UOP uop;
-
- //! The argument of \p *this.
- const Concrete_Expression<C_Expr>* arg;
-};
-
-template <>
-class Cast_Operator<C_Expr>
- : public Concrete_Expression<C_Expr>,
- public Cast_Operator_Common<C_Expr> {
-public:
- //! Constructor from cast type and argument.
- Cast_Operator<C_Expr>(Concrete_Expression_Type type,
- const Concrete_Expression<C_Expr>* ar);
-
- //! Do-nothing destructor.
- ~Cast_Operator<C_Expr>();
-
- //! Returns the type of \p *this.
- Concrete_Expression_Type type() const;
-
- //! Returns the casted expression.
- const Concrete_Expression<C_Expr>* argument() const;
-
- //! Constant identifying cast nodes.
- enum Kind { KIND = CAST };
-
- //! The casted expression.
- const Concrete_Expression<C_Expr>* arg;
-};
-
-template <>
-class Integer_Constant<C_Expr>
- : public Concrete_Expression<C_Expr>,
- public Integer_Constant_Common<C_Expr> {
-public:
- //! Constructor from type and value.
- Integer_Constant<C_Expr>(Concrete_Expression_Type type,
- const Integer_Interval& val);
-
- //! Do-nothing destructor.
- ~Integer_Constant<C_Expr>();
-
- //! Returns the type of \p *this.
- Concrete_Expression_Type type() const;
-
- //! Constant identifying integer constant nodes.
- enum Kind { KIND = INT_CON };
-
- //! An interval in which the value of the constant falls.
- Integer_Interval value;
-};
-
-template <>
-class Floating_Point_Constant<C_Expr>
- : public Concrete_Expression<C_Expr>,
- public Floating_Point_Constant_Common<C_Expr> {
-public:
- //! Constructor from value.
- Floating_Point_Constant<C_Expr>(const char* value_string,
- unsigned int string_size);
-
- //! Do-nothing destructor.
- ~Floating_Point_Constant<C_Expr>();
-
- //! Returns the type of \p *this.
- Concrete_Expression_Type type() const;
-
- //! Constant identifying floating constant nodes.
- enum Kind { KIND = FP_CON };
-
- //! The floating point constant as written.
- char* value;
-};
-
-// The use of Integer_Interval here is for simplicity only.
-template <>
-class Approximable_Reference<C_Expr>
- : public Concrete_Expression<C_Expr>,
- public Approximable_Reference_Common<C_Expr> {
-public:
- //! Builds a reference to the entity having the given index.
- Approximable_Reference<C_Expr>(Concrete_Expression_Type type,
- const Integer_Interval& val,
- dimension_type index);
-
- //! Do-nothing destructor.
- ~Approximable_Reference<C_Expr>();
-
- //! Returns the type of \p *this.
- Concrete_Expression_Type type() const;
-
- //! Constant identifying approximable reference nodes.
- enum Kind { KIND = APPROX_REF };
-
- //! An interval in which the referenced entity's value falls.
- Integer_Interval value;
-
- //! The set of possible indexes for the referenced entity.
- std::set<dimension_type> dimensions;
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "C_Expr.inlines.hh"
-//#include "C_Expr.templates.hh"
-
-#endif // !defined(PPL_C_Expr_defs_hh)
diff --git a/tests/Concrete_Expression/C_Expr.inlines.hh b/tests/Concrete_Expression/C_Expr.inlines.hh
deleted file mode 100644
index 8ae81fd..0000000
--- a/tests/Concrete_Expression/C_Expr.inlines.hh
+++ /dev/null
@@ -1,187 +0,0 @@
-/* Definitions for the C_Expr class and its subclasses: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_C_Expr_inlines_hh
-#define PPL_C_Expr_inlines_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-inline
-Concrete_Expression<C_Expr>::
-Concrete_Expression(const Concrete_Expression_Type type,
- const C_Expr_Kind KIND)
- : expr_type(type),
- expr_kind(KIND) {
-}
-
-inline Concrete_Expression_Kind
-Concrete_Expression<C_Expr>::kind() const {
- return expr_kind;
-}
-
-inline Concrete_Expression_Type
-Concrete_Expression<C_Expr>::type() const {
- return expr_type;
-}
-
-inline
-Binary_Operator<C_Expr>
-::Binary_Operator(const Concrete_Expression_Type type,
- const Concrete_Expression_BOP binary_operator,
- const Concrete_Expression<C_Expr>* left_hand_side,
- const Concrete_Expression<C_Expr>* right_hand_side)
- : Concrete_Expression<C_Expr>(type, BOP),
- bop(binary_operator),
- lhs(left_hand_side),
- rhs(right_hand_side) {
-}
-
-inline
-Binary_Operator<C_Expr>::~Binary_Operator<C_Expr>() {
-}
-
-inline Concrete_Expression_Type
-Binary_Operator<C_Expr>::type() const {
- return expr_type;
-}
-
-inline Concrete_Expression_BOP
-Binary_Operator<C_Expr>::binary_operator() const {
- return bop;
-}
-
-inline const Concrete_Expression<C_Expr>*
-Binary_Operator<C_Expr>::left_hand_side() const {
- return lhs;
-}
-
-inline const Concrete_Expression<C_Expr>*
-Binary_Operator<C_Expr>::right_hand_side() const {
- return rhs;
-}
-
-inline
-Unary_Operator<C_Expr>
-::Unary_Operator(const Concrete_Expression_Type type,
- const Concrete_Expression_UOP unary_operator,
- const Concrete_Expression<C_Expr>* argument)
- : Concrete_Expression<C_Expr>(type, UOP),
- uop(unary_operator),
- arg(argument) {
-}
-
-inline
-Unary_Operator<C_Expr>::~Unary_Operator<C_Expr>() {
-}
-
-inline Concrete_Expression_Type
-Unary_Operator<C_Expr>::type() const {
- return expr_type;
-}
-
-inline Concrete_Expression_BOP
-Unary_Operator<C_Expr>::unary_operator() const {
- return uop;
-}
-
-inline const Concrete_Expression<C_Expr>*
-Unary_Operator<C_Expr>::argument() const {
- return arg;
-}
-
-inline
-Cast_Operator<C_Expr>::
-Cast_Operator(const Concrete_Expression_Type type,
- const Concrete_Expression<C_Expr>* ar)
- : Concrete_Expression<C_Expr>(type, CAST),
- arg(ar) {
-}
-
-inline
-Cast_Operator<C_Expr>::~Cast_Operator<C_Expr>() {
-}
-
-inline Concrete_Expression_Type
-Cast_Operator<C_Expr>::type() const {
- return expr_type;
-}
-
-inline const Concrete_Expression<C_Expr>*
-Cast_Operator<C_Expr>::argument() const {
- return arg;
-}
-
-inline
-Integer_Constant<C_Expr>::
-Integer_Constant(Concrete_Expression_Type type,
- const Integer_Interval& val)
- : Concrete_Expression<C_Expr>(type, INT_CON),
- value(val) {
-}
-
-inline
-Integer_Constant<C_Expr>::~Integer_Constant<C_Expr>() {
-}
-
-inline
-Floating_Point_Constant<C_Expr>::
-Floating_Point_Constant(const char* value_string,
- const unsigned int string_size)
- : Concrete_Expression<C_Expr>(Concrete_Expression_Type::floating_point(ANALYZED_FP_FORMAT), FP_CON),
- value(new char[string_size]) {
- strcpy(value, value_string);
-}
-
-inline
-Floating_Point_Constant<C_Expr>::~Floating_Point_Constant<C_Expr>() {
- delete[] value;
-}
-
-inline Concrete_Expression_Type
-Floating_Point_Constant<C_Expr>::type() const {
- return expr_type;
-}
-
-inline
-Approximable_Reference<C_Expr>::
-Approximable_Reference(Concrete_Expression_Type type,
- const Integer_Interval& val,
- dimension_type index)
- : Concrete_Expression<C_Expr>(type, APPROX_REF),
- value(val),
- dimensions() {
- dimensions.insert(index);
-}
-
-inline
-Approximable_Reference<C_Expr>::~Approximable_Reference<C_Expr>() {
-}
-
-inline Concrete_Expression_Type
-Approximable_Reference<C_Expr>::type() const {
- return expr_type;
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_C_Expr_inlines_hh)
diff --git a/tests/Concrete_Expression/C_Expr_defs.hh b/tests/Concrete_Expression/C_Expr_defs.hh
new file mode 100644
index 0000000..a635a19
--- /dev/null
+++ b/tests/Concrete_Expression/C_Expr_defs.hh
@@ -0,0 +1,257 @@
+/* Declarations for the C_Expr class and its subclasses.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_C_Expr_defs_hh
+#define PPL_C_Expr_defs_hh 1
+
+#include "Concrete_Expression_defs.hh"
+
+namespace Parma_Polyhedra_Library {
+
+struct C_Expr;
+
+enum C_Expr_Kind {
+ BOP,
+ UOP,
+ CAST,
+ INT_CON,
+ FP_CON,
+ APPROX_REF
+};
+
+//! Toy class for testing analysis of floating point computations.
+template <>
+class Concrete_Expression<C_Expr> : public Concrete_Expression_Common<C_Expr> {
+public:
+ //! Builds a concrete expression of the given kind.
+ Concrete_Expression<C_Expr>(Concrete_Expression_Type type, C_Expr_Kind KIND);
+
+ //! Returns the type of \* this.
+ Concrete_Expression_Type type() const;
+
+ //! Returns the kind of \* this.
+ Concrete_Expression_Kind kind() const;
+
+ //! The expression's type.
+ Concrete_Expression_Type expr_type;
+
+ //! The expression's kind.
+ C_Expr_Kind expr_kind;
+};
+
+template <>
+class Binary_Operator<C_Expr> : public Concrete_Expression<C_Expr>,
+ public Binary_Operator_Common<C_Expr> {
+public:
+ //! Constructor from operator, lhs and rhs.
+ Binary_Operator<C_Expr>(Concrete_Expression_Type type,
+ Concrete_Expression_BOP binary_operator,
+ const Concrete_Expression<C_Expr>* left_hand_side,
+ const Concrete_Expression<C_Expr>* right_hand_side);
+
+ //! Do-nothing destructor.
+ ~Binary_Operator<C_Expr>();
+
+ //! Returns the type of \p *this.
+ Concrete_Expression_Type type() const;
+
+ //! Returns the binary operator of \p *this.
+ Concrete_Expression_BOP binary_operator() const;
+
+ //! Returns the left-hand side of \p *this.
+ const Concrete_Expression<C_Expr>* left_hand_side() const;
+
+ //! Returns the right-hand side of \p *this.
+ const Concrete_Expression<C_Expr>* right_hand_side() const;
+
+ //! Constant identifying binary operator nodes.
+ enum Kind {
+ KIND = BOP
+ };
+
+ //! Constants encoding the different binary operators.
+ enum Operation {
+ ADD,
+ SUB,
+ MUL,
+ DIV,
+ REM,
+ BAND,
+ BOR,
+ BXOR,
+ LSHIFT,
+ RSHIFT
+ };
+
+ //! The operator of \p *this.
+ const Concrete_Expression_BOP bop;
+
+ //! The left-hand side of \p *this.
+ const Concrete_Expression<C_Expr>* lhs;
+
+ //! The right-hand side of \p *this.
+ const Concrete_Expression<C_Expr>* rhs;
+};
+
+template <>
+class Unary_Operator<C_Expr> : public Concrete_Expression<C_Expr>,
+ public Unary_Operator_Common<C_Expr> {
+public:
+ //! Constructor from operator and argument.
+ Unary_Operator<C_Expr>(Concrete_Expression_Type type,
+ Concrete_Expression_UOP unary_operator,
+ const Concrete_Expression<C_Expr>* argument);
+
+ //! Do-nothing destructor.
+ ~Unary_Operator<C_Expr>();
+
+ //! Returns the type of \p *this.
+ Concrete_Expression_Type type() const;
+
+ //! Returns the unary operator of \p *this.
+ Concrete_Expression_UOP unary_operator() const;
+
+ //! Returns the argument of \p *this.
+ const Concrete_Expression<C_Expr>* argument() const;
+
+ //! Constant identifying unary operator nodes.
+ enum Kind {
+ KIND = UOP
+ };
+
+ //! Constants encoding the different unary operators.
+ enum Operation {
+ UPLUS,
+ UMINUS,
+ BNOT
+ };
+
+ //! The operator of \p *this.
+ const Concrete_Expression_UOP uop;
+
+ //! The argument of \p *this.
+ const Concrete_Expression<C_Expr>* arg;
+};
+
+template <>
+class Cast_Operator<C_Expr>
+ : public Concrete_Expression<C_Expr>,
+ public Cast_Operator_Common<C_Expr> {
+public:
+ //! Constructor from cast type and argument.
+ Cast_Operator<C_Expr>(Concrete_Expression_Type type,
+ const Concrete_Expression<C_Expr>* ar);
+
+ //! Do-nothing destructor.
+ ~Cast_Operator<C_Expr>();
+
+ //! Returns the type of \p *this.
+ Concrete_Expression_Type type() const;
+
+ //! Returns the casted expression.
+ const Concrete_Expression<C_Expr>* argument() const;
+
+ //! Constant identifying cast nodes.
+ enum Kind { KIND = CAST };
+
+ //! The casted expression.
+ const Concrete_Expression<C_Expr>* arg;
+};
+
+template <>
+class Integer_Constant<C_Expr>
+ : public Concrete_Expression<C_Expr>,
+ public Integer_Constant_Common<C_Expr> {
+public:
+ //! Constructor from type and value.
+ Integer_Constant<C_Expr>(Concrete_Expression_Type type,
+ const Integer_Interval& val);
+
+ //! Do-nothing destructor.
+ ~Integer_Constant<C_Expr>();
+
+ //! Returns the type of \p *this.
+ Concrete_Expression_Type type() const;
+
+ //! Constant identifying integer constant nodes.
+ enum Kind { KIND = INT_CON };
+
+ //! An interval in which the value of the constant falls.
+ Integer_Interval value;
+};
+
+template <>
+class Floating_Point_Constant<C_Expr>
+ : public Concrete_Expression<C_Expr>,
+ public Floating_Point_Constant_Common<C_Expr> {
+public:
+ //! Constructor from value.
+ Floating_Point_Constant<C_Expr>(const char* value_string,
+ unsigned int string_size);
+
+ //! Do-nothing destructor.
+ ~Floating_Point_Constant<C_Expr>();
+
+ //! Returns the type of \p *this.
+ Concrete_Expression_Type type() const;
+
+ //! Constant identifying floating constant nodes.
+ enum Kind { KIND = FP_CON };
+
+ //! The floating point constant as written.
+ char* value;
+};
+
+// The use of Integer_Interval here is for simplicity only.
+template <>
+class Approximable_Reference<C_Expr>
+ : public Concrete_Expression<C_Expr>,
+ public Approximable_Reference_Common<C_Expr> {
+public:
+ //! Builds a reference to the entity having the given index.
+ Approximable_Reference<C_Expr>(Concrete_Expression_Type type,
+ const Integer_Interval& val,
+ dimension_type index);
+
+ //! Do-nothing destructor.
+ ~Approximable_Reference<C_Expr>();
+
+ //! Returns the type of \p *this.
+ Concrete_Expression_Type type() const;
+
+ //! Constant identifying approximable reference nodes.
+ enum Kind { KIND = APPROX_REF };
+
+ //! An interval in which the referenced entity's value falls.
+ Integer_Interval value;
+
+ //! The set of possible indexes for the referenced entity.
+ std::set<dimension_type> dimensions;
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "C_Expr_inlines.hh"
+//#include "C_Expr_templates.hh"
+
+#endif // !defined(PPL_C_Expr_defs_hh)
diff --git a/tests/Concrete_Expression/C_Expr_inlines.hh b/tests/Concrete_Expression/C_Expr_inlines.hh
new file mode 100644
index 0000000..c35f888
--- /dev/null
+++ b/tests/Concrete_Expression/C_Expr_inlines.hh
@@ -0,0 +1,187 @@
+/* Definitions for the C_Expr class and its subclasses: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_C_Expr_inlines_hh
+#define PPL_C_Expr_inlines_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+inline
+Concrete_Expression<C_Expr>::
+Concrete_Expression(const Concrete_Expression_Type type,
+ const C_Expr_Kind KIND)
+ : expr_type(type),
+ expr_kind(KIND) {
+}
+
+inline Concrete_Expression_Kind
+Concrete_Expression<C_Expr>::kind() const {
+ return expr_kind;
+}
+
+inline Concrete_Expression_Type
+Concrete_Expression<C_Expr>::type() const {
+ return expr_type;
+}
+
+inline
+Binary_Operator<C_Expr>
+::Binary_Operator(const Concrete_Expression_Type type,
+ const Concrete_Expression_BOP binary_operator,
+ const Concrete_Expression<C_Expr>* left_hand_side,
+ const Concrete_Expression<C_Expr>* right_hand_side)
+ : Concrete_Expression<C_Expr>(type, BOP),
+ bop(binary_operator),
+ lhs(left_hand_side),
+ rhs(right_hand_side) {
+}
+
+inline
+Binary_Operator<C_Expr>::~Binary_Operator<C_Expr>() {
+}
+
+inline Concrete_Expression_Type
+Binary_Operator<C_Expr>::type() const {
+ return expr_type;
+}
+
+inline Concrete_Expression_BOP
+Binary_Operator<C_Expr>::binary_operator() const {
+ return bop;
+}
+
+inline const Concrete_Expression<C_Expr>*
+Binary_Operator<C_Expr>::left_hand_side() const {
+ return lhs;
+}
+
+inline const Concrete_Expression<C_Expr>*
+Binary_Operator<C_Expr>::right_hand_side() const {
+ return rhs;
+}
+
+inline
+Unary_Operator<C_Expr>
+::Unary_Operator(const Concrete_Expression_Type type,
+ const Concrete_Expression_UOP unary_operator,
+ const Concrete_Expression<C_Expr>* argument)
+ : Concrete_Expression<C_Expr>(type, UOP),
+ uop(unary_operator),
+ arg(argument) {
+}
+
+inline
+Unary_Operator<C_Expr>::~Unary_Operator<C_Expr>() {
+}
+
+inline Concrete_Expression_Type
+Unary_Operator<C_Expr>::type() const {
+ return expr_type;
+}
+
+inline Concrete_Expression_BOP
+Unary_Operator<C_Expr>::unary_operator() const {
+ return uop;
+}
+
+inline const Concrete_Expression<C_Expr>*
+Unary_Operator<C_Expr>::argument() const {
+ return arg;
+}
+
+inline
+Cast_Operator<C_Expr>::
+Cast_Operator(const Concrete_Expression_Type type,
+ const Concrete_Expression<C_Expr>* ar)
+ : Concrete_Expression<C_Expr>(type, CAST),
+ arg(ar) {
+}
+
+inline
+Cast_Operator<C_Expr>::~Cast_Operator<C_Expr>() {
+}
+
+inline Concrete_Expression_Type
+Cast_Operator<C_Expr>::type() const {
+ return expr_type;
+}
+
+inline const Concrete_Expression<C_Expr>*
+Cast_Operator<C_Expr>::argument() const {
+ return arg;
+}
+
+inline
+Integer_Constant<C_Expr>::
+Integer_Constant(Concrete_Expression_Type type,
+ const Integer_Interval& val)
+ : Concrete_Expression<C_Expr>(type, INT_CON),
+ value(val) {
+}
+
+inline
+Integer_Constant<C_Expr>::~Integer_Constant<C_Expr>() {
+}
+
+inline
+Floating_Point_Constant<C_Expr>::
+Floating_Point_Constant(const char* value_string,
+ const unsigned int string_size)
+ : Concrete_Expression<C_Expr>(Concrete_Expression_Type::floating_point(ANALYZED_FP_FORMAT), FP_CON),
+ value(new char[string_size]) {
+ strcpy(value, value_string);
+}
+
+inline
+Floating_Point_Constant<C_Expr>::~Floating_Point_Constant<C_Expr>() {
+ delete[] value;
+}
+
+inline Concrete_Expression_Type
+Floating_Point_Constant<C_Expr>::type() const {
+ return expr_type;
+}
+
+inline
+Approximable_Reference<C_Expr>::
+Approximable_Reference(Concrete_Expression_Type type,
+ const Integer_Interval& val,
+ dimension_type index)
+ : Concrete_Expression<C_Expr>(type, APPROX_REF),
+ value(val),
+ dimensions() {
+ dimensions.insert(index);
+}
+
+inline
+Approximable_Reference<C_Expr>::~Approximable_Reference<C_Expr>() {
+}
+
+inline Concrete_Expression_Type
+Approximable_Reference<C_Expr>::type() const {
+ return expr_type;
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_C_Expr_inlines_hh)
diff --git a/tests/Concrete_Expression/Makefile.am b/tests/Concrete_Expression/Makefile.am
index 428d71d..8e43812 100644
--- a/tests/Concrete_Expression/Makefile.am
+++ b/tests/Concrete_Expression/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -140,7 +140,7 @@ print_INSTANCES:
# Sources for the tests
#
-C_Expr_SOURCES = C_Expr.defs.hh C_Expr.inlines.hh C_Expr.cc
+C_Expr_SOURCES = C_Expr_defs.hh C_Expr_inlines.hh C_Expr.cc
bdshape1_SOURCES = bdshape1.cc
diff --git a/tests/Concrete_Expression/Makefile.in b/tests/Concrete_Expression/Makefile.in
index 51db3fd..68c3ecf 100644
--- a/tests/Concrete_Expression/Makefile.in
+++ b/tests/Concrete_Expression/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -62,7 +78,8 @@ host_triplet = @host@
XFAIL_TESTS =
subdir = tests/Concrete_Expression
DIST_COMMON = $(dist_check_SCRIPTS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -109,6 +126,7 @@ C_Expr_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_bdshape1_OBJECTS = bdshape1.$(OBJEXT)
bdshape1_OBJECTS = $(am_bdshape1_OBJECTS)
bdshape1_LDADD = $(LDADD)
@@ -163,6 +181,18 @@ polyhedron2_LDADD = $(LDADD)
polyhedron2_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -175,17 +205,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -194,17 +223,16 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(C_Expr_SOURCES) $(bdshape1_SOURCES) $(bdshape2_SOURCES) \
$(digitalfilters1_SOURCES) $(linearform1_SOURCES) \
$(linearize_SOURCES) $(octagonalshape1_SOURCES) \
@@ -215,10 +243,17 @@ DIST_SOURCES = $(C_Expr_SOURCES) $(bdshape1_SOURCES) \
$(linearform1_SOURCES) $(linearize_SOURCES) \
$(octagonalshape1_SOURCES) $(octagonalshape2_SOURCES) \
$(polyhedron1_SOURCES) $(polyhedron2_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -488,7 +523,7 @@ $(LONG_DOUBLE_INSTANCES)
#
# Sources for the tests
#
-C_Expr_SOURCES = C_Expr.defs.hh C_Expr.inlines.hh C_Expr.cc
+C_Expr_SOURCES = C_Expr_defs.hh C_Expr_inlines.hh C_Expr.cc
bdshape1_SOURCES = bdshape1.cc
bdshape2_SOURCES = bdshape2.cc
digitalfilters1_SOURCES = digitalfilters1.cc
@@ -671,6 +706,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -684,7 +733,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -910,8 +959,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Concrete_Expression/bdshape1.cc b/tests/Concrete_Expression/bdshape1.cc
index d686412..f94e8d1 100644
--- a/tests/Concrete_Expression/bdshape1.cc
+++ b/tests/Concrete_Expression/bdshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::affine_form_image on interval linear forms.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/bdshape2.cc b/tests/Concrete_Expression/bdshape2.cc
index 6436762..2f36e90 100644
--- a/tests/Concrete_Expression/bdshape2.cc
+++ b/tests/Concrete_Expression/bdshape2.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::refine_wiht_linear_form_inequaity on interval linear forms.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/digitalfilters1.cc b/tests/Concrete_Expression/digitalfilters1.cc
index 2d00d3a..ef83d12 100644
--- a/tests/Concrete_Expression/digitalfilters1.cc
+++ b/tests/Concrete_Expression/digitalfilters1.cc
@@ -1,6 +1,6 @@
/* Test Rate Limiter on differents abstract domains.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#include "C_Expr.defs.hh"
+#include "C_Expr_defs.hh"
namespace {
diff --git a/tests/Concrete_Expression/linearform1.cc b/tests/Concrete_Expression/linearform1.cc
index e29f9af..e6417c8 100644
--- a/tests/Concrete_Expression/linearform1.cc
+++ b/tests/Concrete_Expression/linearform1.cc
@@ -1,6 +1,6 @@
/* Testing Linear_Form on floating point intervals.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/linearize.cc b/tests/Concrete_Expression/linearize.cc
index 45d5b7d..6b909b8 100644
--- a/tests/Concrete_Expression/linearize.cc
+++ b/tests/Concrete_Expression/linearize.cc
@@ -1,6 +1,6 @@
/* Testing linearization algorithm ad its related functions.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -22,7 +22,7 @@ For the most up-to-date information see the Parma Polyhedra Library
site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#include "C_Expr.defs.hh"
+#include "C_Expr_defs.hh"
namespace {
diff --git a/tests/Concrete_Expression/octagonalshape1.cc b/tests/Concrete_Expression/octagonalshape1.cc
index 2fc1f5f..e7e5a3b 100644
--- a/tests/Concrete_Expression/octagonalshape1.cc
+++ b/tests/Concrete_Expression/octagonalshape1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::affine_form_image on interval linear forms.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/octagonalshape2.cc b/tests/Concrete_Expression/octagonalshape2.cc
index ec42c0b..d00e9c1 100644
--- a/tests/Concrete_Expression/octagonalshape2.cc
+++ b/tests/Concrete_Expression/octagonalshape2.cc
@@ -1,7 +1,7 @@
/* Test Octagonal_Shape::refine_fp_interval_abstract_store and
Octagonal_Shape::refine_with_linear_form_inequality.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/polyhedron1.cc b/tests/Concrete_Expression/polyhedron1.cc
index 8c82f15..48efb2b 100644
--- a/tests/Concrete_Expression/polyhedron1.cc
+++ b/tests/Concrete_Expression/polyhedron1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::affine_form_image on interval linear forms.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Concrete_Expression/polyhedron2.cc b/tests/Concrete_Expression/polyhedron2.cc
index 8ac9cf3..9b4a65f 100644
--- a/tests/Concrete_Expression/polyhedron2.cc
+++ b/tests/Concrete_Expression/polyhedron2.cc
@@ -2,7 +2,7 @@
Polyhedron::refine_with_linear_form_inequality and
Polyhedron::generalized_refine_with_linear_form_inequality.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -85,13 +85,13 @@ test03() {
C_Polyhedron ph(3);
ph.refine_with_linear_form_inequality(-FP_Linear_Form(A),
- FP_Linear_Form(FP_Interval(0)));
+ FP_Linear_Form(FP_Interval(0)));
ph.refine_with_linear_form_inequality(FP_Linear_Form(A),
- FP_Linear_Form(FP_Interval(2)));
+ FP_Linear_Form(FP_Interval(2)));
ph.refine_with_linear_form_inequality(-FP_Linear_Form(A),
- FP_Linear_Form(FP_Interval(1)));
+ FP_Linear_Form(FP_Interval(1)));
ph.refine_with_linear_form_inequality(-FP_Linear_Form(B),
- FP_Linear_Form(FP_Interval(-1)));
+ FP_Linear_Form(FP_Interval(-1)));
ph.generalized_refine_with_linear_form_inequality(
FP_Linear_Form(C), FP_Linear_Form(tmp), EQUAL);
ph.generalized_refine_with_linear_form_inequality(
@@ -119,27 +119,26 @@ test04() {
FP_Interval_Abstract_Store store(2);
store.set_interval(A, tmp0);
store.set_interval(B, tmp0);
- FP_Interval tmp(tmp0);
- tmp = 2;
- tmp /= FP_Interval(3);
FP_Linear_Form la(A);
FP_Linear_Form lb(B);
- FP_Linear_Form lk(tmp);
+
+ FP_Interval tmp(2);
+ tmp /= FP_Interval(3);
C_Polyhedron ph(2);
ph.generalized_refine_with_linear_form_inequality(
- lk, la, GREATER_THAN);
- tmp = 1;
- lk -= tmp;
+ FP_Linear_Form(tmp), la, GREATER_THAN);
+ tmp = -1;
+ tmp /= FP_Interval(3);
ph.generalized_refine_with_linear_form_inequality(
- lk, -la, GREATER_OR_EQUAL);
+ FP_Linear_Form(tmp), -la, GREATER_OR_EQUAL);
+ tmp = 1;
+ tmp /= FP_Interval(3);
ph.generalized_refine_with_linear_form_inequality(
- lb, -lk, LESS_OR_EQUAL);
+ lb, FP_Linear_Form(tmp), LESS_OR_EQUAL);
tmp = 0;
- lk = FP_Linear_Form(tmp);
ph.generalized_refine_with_linear_form_inequality(
- -lb, lk, LESS_THAN);
- print_constraints(ph, "*** ph ***");
+ -lb, FP_Linear_Form(tmp), LESS_THAN);
C_Polyhedron known_result1(2);
known_result1.add_constraint(3*A >= 1);
@@ -148,11 +147,17 @@ test04() {
known_result1.add_constraint(3*B <= 1);
print_constraints(known_result1, "*** known_result1 ***");
+ Box<FP_Interval> box(ph);
+ print_constraints(ph, "*** ph ***");
+ print_constraints(box, "*** box ***");
+
bool ok1 = ph.contains(known_result1);
ph.refine_fp_interval_abstract_store(store);
nout << "*** FP_Interval_Abstract_Store ***" << endl;
+ nout << "tmp0 = " << tmp0 << endl;
+
nout << "A = " << store.get_interval(A) << endl;
bool ok2 = tmp0.contains(store.get_interval(A));
diff --git a/tests/Concrete_Expression/run_tests b/tests/Concrete_Expression/run_tests
index 7922901..2f4ce05 100755
--- a/tests/Concrete_Expression/run_tests
+++ b/tests/Concrete_Expression/run_tests
@@ -2,7 +2,7 @@
# Run the Floating_Point_Expression tests.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Grid/Makefile.am b/tests/Grid/Makefile.am
index acfb4d5..1f250f0 100644
--- a/tests/Grid/Makefile.am
+++ b/tests/Grid/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Grid/Makefile.in b/tests/Grid/Makefile.in
index 0c8f9e9..b6594a7 100644
--- a/tests/Grid/Makefile.in
+++ b/tests/Grid/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -106,7 +122,8 @@ TESTS = addcongruence1$(EXEEXT) addcongruences1$(EXEEXT) \
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1)
subdir = tests/Grid
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -195,6 +212,7 @@ addcongruence1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_addcongruences1_OBJECTS = addcongruences1.$(OBJEXT)
addcongruences1_OBJECTS = $(am_addcongruences1_OBJECTS)
addcongruences1_LDADD = $(LDADD)
@@ -791,6 +809,18 @@ writecongruencesystem_DEPENDENCIES = \
$(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -803,20 +833,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addcongruence1_SOURCES) $(addcongruences1_SOURCES) \
$(addconstraint1_SOURCES) $(addconstraints1_SOURCES) \
$(addgenerator1_SOURCES) $(addgenerators1_SOURCES) \
@@ -919,10 +945,17 @@ DIST_SOURCES = $(addcongruence1_SOURCES) $(addcongruences1_SOURCES) \
$(upperbound2_SOURCES) $(widening1_SOURCES) \
$(widening2_SOURCES) $(widening3_SOURCES) $(wrap1_SOURCES) \
$(writecongruencesystem_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -1747,6 +1780,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1760,7 +1807,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -1984,8 +2031,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Grid/addcongruence1.cc b/tests/Grid/addcongruence1.cc
index 894732e..0afc774 100644
--- a/tests/Grid/addcongruence1.cc
+++ b/tests/Grid/addcongruence1.cc
@@ -1,6 +1,6 @@
/* Test methods which add a single congruence to a grid.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -48,7 +48,7 @@ test01() {
bool ok = (gr == known_gr) ;
print_congruences(gr,
- "*** gr.add_congruence((A + B %= 0) / 3) ***");
+ "*** gr.add_congruence((A + B %= 0) / 3) ***");
return ok;
}
diff --git a/tests/Grid/addcongruences1.cc b/tests/Grid/addcongruences1.cc
index 662ec5e..40365af 100644
--- a/tests/Grid/addcongruences1.cc
+++ b/tests/Grid/addcongruences1.cc
@@ -1,6 +1,6 @@
/* Test methods which can add multiple congruences to a grid.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -148,7 +148,7 @@ test05() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_recycled_congruences(cgs) ***");
+ "*** gr.add_recycled_congruences(cgs) ***");
return ok;
}
@@ -195,7 +195,7 @@ test07() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_recycled_congruences(cgs) ***");
+ "*** gr.add_recycled_congruences(cgs) ***");
return ok;
}
@@ -223,7 +223,7 @@ test08() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_recycled_congruences(cgs) ***");
+ "*** gr.add_recycled_congruences(cgs) ***");
return ok;
}
@@ -250,7 +250,7 @@ test09() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_recycled_congruences(cgs) ***");
+ "*** gr.add_recycled_congruences(cgs) ***");
return ok;
}
@@ -310,7 +310,7 @@ test11() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_recycled_congruences(cgs) ***");
+ "*** gr.add_recycled_congruences(cgs) ***");
return ok;
}
diff --git a/tests/Grid/addconstraint1.cc b/tests/Grid/addconstraint1.cc
index 144479e..8fa2cb4 100644
--- a/tests/Grid/addconstraint1.cc
+++ b/tests/Grid/addconstraint1.cc
@@ -1,6 +1,6 @@
/* Test adding single constraints to grids.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -71,7 +71,7 @@ test02() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_constraint(*ph.constraints().begin()) ***");
+ "*** gr.add_constraint(*ph.constraints().begin()) ***");
return ok;
}
diff --git a/tests/Grid/addconstraints1.cc b/tests/Grid/addconstraints1.cc
index e43ba70..784634d 100644
--- a/tests/Grid/addconstraints1.cc
+++ b/tests/Grid/addconstraints1.cc
@@ -1,6 +1,6 @@
/* Test adding constraints to a grid.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/addgenerator1.cc b/tests/Grid/addgenerator1.cc
index e5181bc..529ddfb 100644
--- a/tests/Grid/addgenerator1.cc
+++ b/tests/Grid/addgenerator1.cc
@@ -1,6 +1,6 @@
/* Test Grid::add_grid_generator().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -110,7 +110,7 @@ test04() {
print_congruences(gr, "*** gr ***");
for (Grid_Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
gr.add_grid_generator(*i);
Grid known_gr(2);
@@ -170,7 +170,7 @@ test06() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_grid_generator(grid_point(12*A + 7*D)) ***");
+ "*** gr.add_grid_generator(grid_point(12*A + 7*D)) ***");
return ok;
}
@@ -199,7 +199,7 @@ test07() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_grid_generator(grid_point(B, 3)) ***");
+ "*** gr.add_grid_generator(grid_point(B, 3)) ***");
return ok;
}
diff --git a/tests/Grid/addgenerators1.cc b/tests/Grid/addgenerators1.cc
index 8ef159a..e47a33f 100644
--- a/tests/Grid/addgenerators1.cc
+++ b/tests/Grid/addgenerators1.cc
@@ -1,6 +1,6 @@
/* Test method which can add multiple generators to a grid.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -132,7 +132,7 @@ test05() {
bool ok = (gr == known_gr);
print_generators(gr,
- "*** gr.add_recycled_grid_generators(gs) ***");
+ "*** gr.add_recycled_grid_generators(gs) ***");
return ok;
}
@@ -151,7 +151,7 @@ test06() {
bool ok = (gr == known_gr);
print_generators(gr,
- "*** gr.add_grid_generators(Grid_Generator_System::zero_dim_univ()) ***");
+ "*** gr.add_grid_generators(Grid_Generator_System::zero_dim_univ()) ***");
return ok;
}
diff --git a/tests/Grid/addspacedims1.cc b/tests/Grid/addspacedims1.cc
index 1e05231..d13203e 100644
--- a/tests/Grid/addspacedims1.cc
+++ b/tests/Grid/addspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Grid::add_space_dimensions_and_embed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/affinedim1.cc b/tests/Grid/affinedim1.cc
index 361f704..c9564be 100644
--- a/tests/Grid/affinedim1.cc
+++ b/tests/Grid/affinedim1.cc
@@ -1,6 +1,6 @@
/* Test Grid::affine_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/affineimage1.cc b/tests/Grid/affineimage1.cc
index c82e3a8..8d0055e 100644
--- a/tests/Grid/affineimage1.cc
+++ b/tests/Grid/affineimage1.cc
@@ -1,6 +1,6 @@
/* Test Grid::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/affineimage2.cc b/tests/Grid/affineimage2.cc
index 3aec6c8..273b740 100644
--- a/tests/Grid/affineimage2.cc
+++ b/tests/Grid/affineimage2.cc
@@ -1,6 +1,6 @@
/* Test Grid::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/affinepreimage1.cc b/tests/Grid/affinepreimage1.cc
index ae39f7f..2510b11 100644
--- a/tests/Grid/affinepreimage1.cc
+++ b/tests/Grid/affinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Grid::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/affinepreimage2.cc b/tests/Grid/affinepreimage2.cc
index 225ed1d..159450d 100644
--- a/tests/Grid/affinepreimage2.cc
+++ b/tests/Grid/affinepreimage2.cc
@@ -1,6 +1,6 @@
/* Test Grid::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/approximatepartition1.cc b/tests/Grid/approximatepartition1.cc
index 2a490ab..8843c98 100644
--- a/tests/Grid/approximatepartition1.cc
+++ b/tests/Grid/approximatepartition1.cc
@@ -1,6 +1,6 @@
/* Test approximate_partition().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -82,10 +82,10 @@ test02() {
result = approximate_partition(q, p, finite_partition);
print_congruences(result.first,
- "*** result.first ***");
+ "*** result.first ***");
print_congruences(result.second,
- "*** result.second ***");
+ "*** result.second ***");
if (finite_partition)
return false;
diff --git a/tests/Grid/asciidumpload1.cc b/tests/Grid/asciidumpload1.cc
index 46d93bd..a59b18f 100644
--- a/tests/Grid/asciidumpload1.cc
+++ b/tests/Grid/asciidumpload1.cc
@@ -1,6 +1,6 @@
/* Test Grid::ascii_dump() and Grid::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/asciidumpload2.cc b/tests/Grid/asciidumpload2.cc
index ff23400..b6814d3 100644
--- a/tests/Grid/asciidumpload2.cc
+++ b/tests/Grid/asciidumpload2.cc
@@ -1,6 +1,6 @@
/* Test Grid::ascii_dump() and Grid::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/asciidumpload3.cc b/tests/Grid/asciidumpload3.cc
index 0881544..8faabbc 100644
--- a/tests/Grid/asciidumpload3.cc
+++ b/tests/Grid/asciidumpload3.cc
@@ -1,6 +1,6 @@
/* Test Congruence::ascii_dump() and Congruence::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/asciidumpload4.cc b/tests/Grid/asciidumpload4.cc
index 8db258b..bcc0d6a 100644
--- a/tests/Grid/asciidumpload4.cc
+++ b/tests/Grid/asciidumpload4.cc
@@ -1,6 +1,6 @@
/* Test Congruence_System ascii_dump() and ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/asciidumpload5.cc b/tests/Grid/asciidumpload5.cc
index 0e84a6d..e9f571e 100644
--- a/tests/Grid/asciidumpload5.cc
+++ b/tests/Grid/asciidumpload5.cc
@@ -1,6 +1,6 @@
/* Test Grid_Generator ascii_dump() and ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/asciidumpload6.cc b/tests/Grid/asciidumpload6.cc
index d04c6b6..91a35d2 100644
--- a/tests/Grid/asciidumpload6.cc
+++ b/tests/Grid/asciidumpload6.cc
@@ -1,6 +1,6 @@
/* Test Generator_System ascii_dump() and ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/bhz03widening1.cc b/tests/Grid/bhz03widening1.cc
index 378af81..b451163 100644
--- a/tests/Grid/bhz03widening1.cc
+++ b/tests/Grid/bhz03widening1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<Grid>::BHZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/bounded1.cc b/tests/Grid/bounded1.cc
index 5730c89..8e5a869 100644
--- a/tests/Grid/bounded1.cc
+++ b/tests/Grid/bounded1.cc
@@ -1,6 +1,6 @@
/* Test Grid::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/boundedaffineimage1.cc b/tests/Grid/boundedaffineimage1.cc
index d82cc1e..5ab38ad 100644
--- a/tests/Grid/boundedaffineimage1.cc
+++ b/tests/Grid/boundedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Grid::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/boundedaffinepreimage1.cc b/tests/Grid/boundedaffinepreimage1.cc
index b2eef5b..0307a89 100644
--- a/tests/Grid/boundedaffinepreimage1.cc
+++ b/tests/Grid/boundedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Grid::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/bounds1.cc b/tests/Grid/bounds1.cc
index dea1510..d024ad7 100644
--- a/tests/Grid/bounds1.cc
+++ b/tests/Grid/bounds1.cc
@@ -1,6 +1,6 @@
/* Test Grid::bounds_from_above() and Grid::bounds_from_below().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -31,7 +31,7 @@ test01() {
Grid gr(7, EMPTY);
bool ok = (gr.bounds_from_above(Linear_Expression(0))
- && gr.bounds_from_below(Linear_Expression(0)));
+ && gr.bounds_from_below(Linear_Expression(0)));
print_congruences(gr, "*** gr ***");
@@ -44,7 +44,7 @@ test02() {
Grid gr(0, EMPTY);
bool ok = (gr.bounds_from_above(Linear_Expression(3))
- && gr.bounds_from_below(Linear_Expression(3)));
+ && gr.bounds_from_below(Linear_Expression(3)));
print_congruences(gr, "*** gr ***");
@@ -57,7 +57,7 @@ test03() {
Grid gr(0);
bool ok = (gr.bounds_from_above(Linear_Expression(1))
- && gr.bounds_from_below(Linear_Expression(1)));
+ && gr.bounds_from_below(Linear_Expression(1)));
print_congruences(gr, "*** gr ***");
diff --git a/tests/Grid/certificate1.cc b/tests/Grid/certificate1.cc
index ec3800d..2767649 100644
--- a/tests/Grid/certificate1.cc
+++ b/tests/Grid/certificate1.cc
@@ -1,6 +1,6 @@
/* Test class Grid_Certificate.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/concatenate1.cc b/tests/Grid/concatenate1.cc
index 2b0192f..570b40f 100644
--- a/tests/Grid/concatenate1.cc
+++ b/tests/Grid/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test Grid::concatenate_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/congruence1.cc b/tests/Grid/congruence1.cc
index 01ab2e7..668c3cf 100644
--- a/tests/Grid/congruence1.cc
+++ b/tests/Grid/congruence1.cc
@@ -1,6 +1,6 @@
/* Test class Congruence.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -34,7 +34,7 @@ public:
};
// Negative inhomogeneous term.
-static bool
+bool
test01() {
Variable A(0);
Variable B(1);
@@ -55,7 +55,7 @@ test01() {
}
// Positive inhomogeneous term.
-static bool
+bool
test02() {
Variable A(0);
Variable B(1);
@@ -76,7 +76,7 @@ test02() {
}
// Common factors and reducible positive inhomogeneous term.
-static bool
+bool
test03() {
Variable A(0);
Variable B(1);
@@ -97,7 +97,7 @@ test03() {
}
// Negative first coefficient.
-static bool
+bool
test04() {
Variable A(0);
Variable B(1);
@@ -118,7 +118,7 @@ test04() {
}
// Constructed with only the %= operator.
-static bool
+bool
test05() {
Variable A(0);
Variable B(1);
@@ -142,7 +142,7 @@ test05() {
}
// Equality congruence (a modulus of 0).
-static bool
+bool
test06() {
Variable A(0);
Variable B(1);
@@ -163,7 +163,7 @@ test06() {
}
// Constructed from a Constraint with the `/' operator.
-static bool
+bool
test07() {
Variable A(0);
Variable B(1);
@@ -184,7 +184,7 @@ test07() {
}
// Constructed from a Constraint.
-static bool
+bool
test08() {
Variable A(0);
Variable B(1);
@@ -205,7 +205,7 @@ test08() {
}
// Set modulus with `/='.
-static bool
+bool
test09() {
Variable A(0);
Variable B(1);
@@ -228,7 +228,7 @@ test09() {
}
// is_tautological and is_inconsistent.
-static bool
+bool
test10() {
Variable A(0);
Variable B(1);
@@ -287,7 +287,7 @@ test10() {
}
// Negative moduli.
-static bool
+bool
test11() {
Variable A(0);
Variable B(1);
@@ -308,7 +308,7 @@ test11() {
}
// Negative modulus and negative first coefficient.
-static bool
+bool
test12() {
Variable A(0);
Variable B(1);
@@ -331,7 +331,7 @@ test12() {
}
// Create from empty linear expression.
-static bool
+bool
test13() {
Linear_Expression le;
Test_Congruence a(le %= le);
@@ -349,7 +349,7 @@ test13() {
}
// Linear expressions on both sides.
-static bool
+bool
test14() {
Variable A(0);
Variable B(1);
@@ -370,7 +370,7 @@ test14() {
}
// Try construct congruence from inequality constraint.
-static bool
+bool
test15() {
Variable A(0);
Variable C(2);
@@ -389,7 +389,7 @@ test15() {
// Try access the coefficient of a space dimension higher than that of
// a congruence.
-static bool
+bool
test16() {
Variable A(0);
Variable C(2);
@@ -409,7 +409,7 @@ test16() {
}
// Check if the congruences are equivalent.
-static bool
+bool
test17() {
Variable A(0);
Variable B(1);
diff --git a/tests/Grid/congruences1.cc b/tests/Grid/congruences1.cc
index 53d59fd..0a08531 100644
--- a/tests/Grid/congruences1.cc
+++ b/tests/Grid/congruences1.cc
@@ -1,6 +1,6 @@
/* Test Grid::congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/congruences2.cc b/tests/Grid/congruences2.cc
index e0814e6..8072568 100644
--- a/tests/Grid/congruences2.cc
+++ b/tests/Grid/congruences2.cc
@@ -1,6 +1,6 @@
/* Test Congruence_System::satisfies_all_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -190,8 +190,8 @@ test07() {
*/
bool
satisfies(const Grid_Generator& g,
- const Test_Congruence_System& cgs,
- bool expected = true) {
+ const Test_Congruence_System& cgs,
+ bool expected = true) {
if (cgs.satisfies_all_congruences(g) == expected)
return true;
@@ -208,7 +208,7 @@ satisfies(const Grid_Generator& g,
inline bool
fails_to_satisfy(const Grid_Generator& g,
- const Congruence_System& cgs) {
+ const Congruence_System& cgs) {
return satisfies(g, cgs, false);
}
@@ -252,7 +252,7 @@ test08() {
cgs0.insert((A %= 0) / 2);
ok &= (fails_to_satisfy(grid_line(3*A), cgs0));
print_congruences(cgs0,
- "*** cgs0.clear(); cgs0.insert((A %= 0) / 2) ***");
+ "*** cgs0.clear(); cgs0.insert((A %= 0) / 2) ***");
return ok;
}
@@ -265,7 +265,7 @@ test09() {
Test_Congruence_System cgs0((A - B %= 0) / 7);
print_congruences(cgs0,
- "*** cgs0((A - B %= 0) / 7) ***");
+ "*** cgs0((A - B %= 0) / 7) ***");
// Points.
@@ -297,7 +297,7 @@ test09() {
cgs0.insert((A %= 0) / 2);
ok &= (fails_to_satisfy(grid_line(3*A), cgs0));
print_congruences(cgs0,
- "*** cgs0.clear(); cgs0.insert((A %= 0) / 2) ***");
+ "*** cgs0.clear(); cgs0.insert((A %= 0) / 2) ***");
return ok;
}
diff --git a/tests/Grid/constraints1.cc b/tests/Grid/constraints1.cc
index b7e29a3..1afa37f 100644
--- a/tests/Grid/constraints1.cc
+++ b/tests/Grid/constraints1.cc
@@ -1,6 +1,6 @@
/* Test Grid::congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/contains1.cc b/tests/Grid/contains1.cc
index c585d0a..ead6055 100644
--- a/tests/Grid/contains1.cc
+++ b/tests/Grid/contains1.cc
@@ -1,6 +1,6 @@
/* Test Grid::contains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/containsintegerpoint1.cc b/tests/Grid/containsintegerpoint1.cc
index 84e7244..7f89045 100644
--- a/tests/Grid/containsintegerpoint1.cc
+++ b/tests/Grid/containsintegerpoint1.cc
@@ -1,6 +1,6 @@
/* Test Grid::contains_integer_point().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/discrete1.cc b/tests/Grid/discrete1.cc
index 6bd168a..8cc08d1 100644
--- a/tests/Grid/discrete1.cc
+++ b/tests/Grid/discrete1.cc
@@ -1,6 +1,6 @@
/* Test Grid::is_pointed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/disjoint1.cc b/tests/Grid/disjoint1.cc
index 0f28a89..e279f89 100644
--- a/tests/Grid/disjoint1.cc
+++ b/tests/Grid/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test Grid::is_disjoint_from().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/dropnonintegerpoints1.cc b/tests/Grid/dropnonintegerpoints1.cc
index 826ca60..13fd988 100644
--- a/tests/Grid/dropnonintegerpoints1.cc
+++ b/tests/Grid/dropnonintegerpoints1.cc
@@ -1,6 +1,6 @@
/* Test Grid::drop_some_non_integer_points().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/equals1.cc b/tests/Grid/equals1.cc
index 4abd116..535b760 100644
--- a/tests/Grid/equals1.cc
+++ b/tests/Grid/equals1.cc
@@ -1,7 +1,7 @@
/* Test operator==(const Grid&, const Grid&)
and operator!=(const Grid&, const Grid&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/expandspacedim1.cc b/tests/Grid/expandspacedim1.cc
index 46f9b98..5272ee2 100644
--- a/tests/Grid/expandspacedim1.cc
+++ b/tests/Grid/expandspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Grid::expand_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/foldspacedims1.cc b/tests/Grid/foldspacedims1.cc
index 5a6d2ea..4564ef0 100644
--- a/tests/Grid/foldspacedims1.cc
+++ b/tests/Grid/foldspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Grid::fold_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/frequency1.cc b/tests/Grid/frequency1.cc
index aba6d3a..a377192 100644
--- a/tests/Grid/frequency1.cc
+++ b/tests/Grid/frequency1.cc
@@ -1,6 +1,6 @@
/* Test Grid::frequency().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/frombdshape1.cc b/tests/Grid/frombdshape1.cc
index a043de3..72051cd 100644
--- a/tests/Grid/frombdshape1.cc
+++ b/tests/Grid/frombdshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/frombox1.cc b/tests/Grid/frombox1.cc
index 2817186..8f280ad 100644
--- a/tests/Grid/frombox1.cc
+++ b/tests/Grid/frombox1.cc
@@ -1,6 +1,6 @@
/* Test Grid::Grid(const Box&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/fromgrid1.cc b/tests/Grid/fromgrid1.cc
index 1927e68..21272fc 100644
--- a/tests/Grid/fromgrid1.cc
+++ b/tests/Grid/fromgrid1.cc
@@ -1,6 +1,6 @@
/* Test copy construction and assignment for grids.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/fromoctagonalshape1.cc b/tests/Grid/fromoctagonalshape1.cc
index 2a20c20..091ebda 100644
--- a/tests/Grid/fromoctagonalshape1.cc
+++ b/tests/Grid/fromoctagonalshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/frompolyhedron1.cc b/tests/Grid/frompolyhedron1.cc
index e11f3a1..e74d03a 100644
--- a/tests/Grid/frompolyhedron1.cc
+++ b/tests/Grid/frompolyhedron1.cc
@@ -1,6 +1,6 @@
/* Test construction of grids from polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/generalizedaffineimage1.cc b/tests/Grid/generalizedaffineimage1.cc
index af48a1b..18105ed 100644
--- a/tests/Grid/generalizedaffineimage1.cc
+++ b/tests/Grid/generalizedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Grid::generalized_affine_image(var, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -44,7 +44,7 @@ test01() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, Linear_Expression::zero(), 1, 0) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, Linear_Expression::zero(), 1, 0) ***");
return ok;
}
@@ -71,7 +71,7 @@ test02() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, Linear_Expression::zero(), 2, 1) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, Linear_Expression::zero(), 2, 1) ***");
return ok;
}
@@ -98,7 +98,7 @@ test03() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, A + 1, 1, 1) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, A + 1, 1, 1) ***");
return ok;
}
@@ -125,7 +125,7 @@ test04() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, A + 1, 2, 1) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, A + 1, 2, 1) ***");
return ok;
}
@@ -152,7 +152,7 @@ test05() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, A + 1, 2, 3) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, A + 1, 2, 3) ***");
return ok;
}
@@ -179,7 +179,7 @@ test06() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, A + 2, -2, 1) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, A + 2, -2, 1) ***");
return ok;
}
@@ -206,7 +206,7 @@ test07() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, EQUAL, A + 2, 1, -7) ***");
+ "*** gr.generalized_affine_image(B, EQUAL, A + 2, 1, -7) ***");
return ok;
}
@@ -236,7 +236,7 @@ test08() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, EQUAL, A - C + 2, 1, 5) ***");
+ "*** gr.generalized_affine_image(A, EQUAL, A - C + 2, 1, 5) ***");
return ok;
}
@@ -266,7 +266,7 @@ test09() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, EQUAL, A - C + 2, 1, 0) ***");
+ "*** gr.generalized_affine_image(A, EQUAL, A - C + 2, 1, 0) ***");
return ok;
}
@@ -289,7 +289,7 @@ test10() {
bool ok = (gr == known_gr);
print_generators(gr,
- "*** gr.generalized_affine_image(A, EQUAL, A - 2*C + 3, 4, 7) ***");
+ "*** gr.generalized_affine_image(A, EQUAL, A - 2*C + 3, 4, 7) ***");
return ok;
}
@@ -312,7 +312,7 @@ test11() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, EQUAL, A + 2, 1, 1) ***");
+ "*** gr.generalized_affine_image(A, EQUAL, A + 2, 1, 1) ***");
return ok;
}
@@ -333,7 +333,7 @@ test12() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, EQUAL, A + 2, 1, 1) ***");
+ "*** gr.generalized_affine_image(A, EQUAL, A + 2, 1, 1) ***");
return ok;
}
@@ -429,7 +429,7 @@ test16() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - B + C, EQUAL, 2*A - B - C, 5) ***");
+ "*** gr.generalized_affine_image(A - B + C, EQUAL, 2*A - B - C, 5) ***");
return ok;
}
@@ -454,7 +454,7 @@ test17() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - B, EQUAL, 2*A - 2*B, 5) ***");
+ "*** gr.generalized_affine_image(A - B, EQUAL, 2*A - 2*B, 5) ***");
return ok;
}
@@ -478,7 +478,7 @@ test18() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(2*A - 2*B, EQUAL, A - B, 5) ***");
+ "*** gr.generalized_affine_image(2*A - 2*B, EQUAL, A - B, 5) ***");
return ok;
}
diff --git a/tests/Grid/generalizedaffineimage2.cc b/tests/Grid/generalizedaffineimage2.cc
index 592ddf3..cfc93e6 100644
--- a/tests/Grid/generalizedaffineimage2.cc
+++ b/tests/Grid/generalizedaffineimage2.cc
@@ -1,6 +1,6 @@
/* Test Grid::generalized_affine_image(lhs, rhs, modulus).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -49,7 +49,7 @@ test01() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(1*B, Linear_Expression::zero(), 0) ***");
+ "*** gr.generalized_affine_image(1*B, Linear_Expression::zero(), 0) ***");
return ok;
}
@@ -76,7 +76,7 @@ test02() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(2*B, Linear_Expression::zero()) ***");
+ "*** gr.generalized_affine_image(2*B, Linear_Expression::zero()) ***");
return ok;
}
@@ -262,7 +262,7 @@ test09() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(1*A, A - C + 2, 5) ***");
+ "*** gr.generalized_affine_image(1*A, A - C + 2, 5) ***");
return ok;
}
@@ -291,7 +291,7 @@ test10() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(1*A, A - C + 2, 0) ***");
+ "*** gr.generalized_affine_image(1*A, A - C + 2, 0) ***");
return ok;
}
@@ -372,7 +372,7 @@ test14() {
print_congruences(gr, "*** gr ***");
gr.generalized_affine_image(Linear_Expression::zero(), EQUAL,
- Linear_Expression(1), 1);
+ Linear_Expression(1), 1);
Grid known_gr(2, EMPTY);
known_gr.add_grid_generator(grid_point());
@@ -382,7 +382,7 @@ test14() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(Linear_Expression::zero(), EQUAL, Linear_Expression(1), 1) ***");
+ "*** gr.generalized_affine_image(Linear_Expression::zero(), EQUAL, Linear_Expression(1), 1) ***");
return ok;
}
@@ -408,7 +408,7 @@ test15() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(Linear_Expression::zero(), EQUAL, A - B, 5) ***");
+ "*** gr.generalized_affine_image(Linear_Expression::zero(), EQUAL, A - B, 5) ***");
return ok;
}
@@ -437,7 +437,7 @@ test16() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - B, EQUAL, C, 1) ***");
+ "*** gr.generalized_affine_image(A - B, EQUAL, C, 1) ***");
return ok;
}
@@ -460,7 +460,7 @@ test17() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - B, EQUAL, A) ***");
+ "*** gr.generalized_affine_image(A - B, EQUAL, A) ***");
return ok;
}
@@ -487,7 +487,7 @@ test18() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A + 2*B, EQUAL, A - B, 3) ***");
+ "*** gr.generalized_affine_image(A + 2*B, EQUAL, A - B, 3) ***");
return ok;
}
@@ -514,7 +514,7 @@ test19() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - C, EQUAL, B + 3, 0) ***");
+ "*** gr.generalized_affine_image(A - C, EQUAL, B + 3, 0) ***");
return ok;
}
diff --git a/tests/Grid/generalizedaffineimage3.cc b/tests/Grid/generalizedaffineimage3.cc
index d2290d2..1d014ff 100644
--- a/tests/Grid/generalizedaffineimage3.cc
+++ b/tests/Grid/generalizedaffineimage3.cc
@@ -1,6 +1,6 @@
/* Test Grid::generalized_affine_image(var, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -45,7 +45,7 @@ test01() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(B, LESS_OR_EQUAL, Linear_Expression::zero()) ***");
+ "*** gr.generalized_affine_image(B, LESS_OR_EQUAL, Linear_Expression::zero()) ***");
return ok;
}
@@ -69,7 +69,7 @@ test02() {
bool ok = (gr == known_gr);
print_generators(gr,
- "*** gr.generalized_affine_image(A, GREATER_OR_EQUAL, A - 2*C + 3, 4) ***");
+ "*** gr.generalized_affine_image(A, GREATER_OR_EQUAL, A - 2*C + 3, 4) ***");
return ok;
}
@@ -92,7 +92,7 @@ test03() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, LESS_THAN, A + 2, 1, 0) ***");
+ "*** gr.generalized_affine_image(A, LESS_THAN, A + 2, 1, 0) ***");
return ok;
}
@@ -211,7 +211,7 @@ test08() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - B + C, GREATER_THAN, 2*A - B - C) ***");
+ "*** gr.generalized_affine_image(A - B + C, GREATER_THAN, 2*A - B - C) ***");
return ok;
}
@@ -237,7 +237,7 @@ test09() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A - B, GREATER_THAN, 2*A - 2*B, 0) ***");
+ "*** gr.generalized_affine_image(A - B, GREATER_THAN, 2*A - 2*B, 0) ***");
return ok;
}
@@ -305,7 +305,7 @@ test12() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, GREATER_THAN , A + 2, 1, 1) ***");
+ "*** gr.generalized_affine_image(A, GREATER_THAN , A + 2, 1, 1) ***");
return ok;
}
@@ -352,7 +352,7 @@ test14() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_image(A, LESS_THAN, A + 2) ***");
+ "*** gr.generalized_affine_image(A, LESS_THAN, A + 2) ***");
return ok;
}
diff --git a/tests/Grid/generalizedaffinepreimage1.cc b/tests/Grid/generalizedaffinepreimage1.cc
index eb9b081..f40e168 100644
--- a/tests/Grid/generalizedaffinepreimage1.cc
+++ b/tests/Grid/generalizedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Grid::generalized_affine_preimage(var, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -251,7 +251,7 @@ test06() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, EQUAL, A - C + 2, 1, 5) ***");
+ "*** gr.generalized_affine_preimage(A, EQUAL, A - C + 2, 1, 5) ***");
return ok;
}
@@ -280,7 +280,7 @@ test07() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, EQUAL, A - C + 2, 1, 0) ***");
+ "*** gr.generalized_affine_preimage(A, EQUAL, A - C + 2, 1, 0) ***");
return ok;
}
@@ -303,7 +303,7 @@ test08() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, EQUAL, A - 2*C + 3, 4, 7) ***");
+ "*** gr.generalized_affine_preimage(A, EQUAL, A - 2*C + 3, 4, 7) ***");
return ok;
}
@@ -326,7 +326,7 @@ test09() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, EQUAL, A + 2, 1, 1) ***");
+ "*** gr.generalized_affine_preimage(A, EQUAL, A + 2, 1, 1) ***");
return ok;
}
@@ -347,7 +347,7 @@ test10() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, EQUAL, A + 2, 1, 1) ***");
+ "*** gr.generalized_affine_preimage(A, EQUAL, A + 2, 1, 1) ***");
return ok;
}
@@ -447,7 +447,7 @@ test14() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(B, EQUAL, A + B, 1, 0) ***");
+ "*** gr.generalized_affine_preimage(B, EQUAL, A + B, 1, 0) ***");
return ok;
}
@@ -476,7 +476,7 @@ test15() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(B, EQUAL, A + B, 1, -7) ***");
+ "*** gr.generalized_affine_preimage(B, EQUAL, A + B, 1, -7) ***");
return ok;
}
@@ -511,7 +511,7 @@ test16() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A + 2*B, EQUAL, A - B, 3) ***");
+ "*** gr.generalized_affine_preimage(A + 2*B, EQUAL, A - B, 3) ***");
return ok;
}
diff --git a/tests/Grid/generalizedaffinepreimage2.cc b/tests/Grid/generalizedaffinepreimage2.cc
index 0aeab54..d6f06c1 100644
--- a/tests/Grid/generalizedaffinepreimage2.cc
+++ b/tests/Grid/generalizedaffinepreimage2.cc
@@ -1,6 +1,6 @@
/* Test Grid::generalized_affine_preimage(lhs, rhs, modulus).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -37,7 +37,7 @@ test01() {
print_congruences(gr, "*** gr ***");
gr.generalized_affine_preimage(Linear_Expression::zero(), EQUAL,
- Linear_Expression(1), 1);
+ Linear_Expression(1), 1);
Grid known_gr(2, EMPTY);
known_gr.add_grid_generator(grid_point());
@@ -47,7 +47,7 @@ test01() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(Linear_Expression::zero(), EQUAL, Linear_Expression(1), 1) ***");
+ "*** gr.generalized_affine_preimage(Linear_Expression::zero(), EQUAL, Linear_Expression(1), 1) ***");
return ok;
}
@@ -73,7 +73,7 @@ test02() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(Linear_Expression::zero(), EQUAL, A - B, 5) ***");
+ "*** gr.generalized_affine_preimage(Linear_Expression::zero(), EQUAL, A - B, 5) ***");
return ok;
}
@@ -125,7 +125,7 @@ test04() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A - B, EQUAL, A, 0) ***");
+ "*** gr.generalized_affine_preimage(A - B, EQUAL, A, 0) ***");
return ok;
}
@@ -176,7 +176,7 @@ test06() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A - B + C, EQUAL, 2*A - B - C, 5) ***");
+ "*** gr.generalized_affine_preimage(A - B + C, EQUAL, 2*A - B - C, 5) ***");
return ok;
}
@@ -201,7 +201,7 @@ test07() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A - B, EQUAL, 2*A - 2*B, 5) ***");
+ "*** gr.generalized_affine_preimage(A - B, EQUAL, 2*A - 2*B, 5) ***");
return ok;
}
@@ -226,7 +226,7 @@ test08() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(2*A - 2*B, EQUAL, A - B, 5) ***");
+ "*** gr.generalized_affine_preimage(2*A - 2*B, EQUAL, A - B, 5) ***");
return ok;
}
@@ -299,7 +299,7 @@ test11() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A - B, EQUAL, C, -5) ***");
+ "*** gr.generalized_affine_preimage(A - B, EQUAL, C, -5) ***");
return ok;
}
diff --git a/tests/Grid/generalizedaffinepreimage3.cc b/tests/Grid/generalizedaffinepreimage3.cc
index 42e54b5..84722b5 100644
--- a/tests/Grid/generalizedaffinepreimage3.cc
+++ b/tests/Grid/generalizedaffinepreimage3.cc
@@ -1,6 +1,6 @@
/* Test Grid::generalized_affine_preimage(var, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -97,7 +97,7 @@ test03() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, LESS_OR_EQUAL, A - 2*C + 3, 4) ***");
+ "*** gr.generalized_affine_preimage(A, LESS_OR_EQUAL, A - 2*C + 3, 4) ***");
return ok;
}
@@ -120,7 +120,7 @@ test04() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, LESS_THAN A + 2, 1) ***");
+ "*** gr.generalized_affine_preimage(A, LESS_THAN A + 2, 1) ***");
return ok;
}
@@ -141,7 +141,7 @@ test05() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, LESS_THAN, A + 2, 1) ***");
+ "*** gr.generalized_affine_preimage(A, LESS_THAN, A + 2, 1) ***");
return ok;
}
@@ -266,7 +266,7 @@ test10() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(B, GREATER_THAN, A + B) ***");
+ "*** gr.generalized_affine_preimage(B, GREATER_THAN, A + B) ***");
return ok;
}
@@ -291,7 +291,7 @@ test11() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A - B + C, GREATER_THAN, 2*A - B - C) ***");
+ "*** gr.generalized_affine_preimage(A - B + C, GREATER_THAN, 2*A - B - C) ***");
return ok;
}
@@ -317,7 +317,7 @@ test12() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A - B, GREATER_THAN, 2*A - 2*B, 0) ***");
+ "*** gr.generalized_affine_preimage(A - B, GREATER_THAN, 2*A - 2*B, 0) ***");
return ok;
}
@@ -385,7 +385,7 @@ test15() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, GREATER_THAN , A + 2, 1, 1) ***");
+ "*** gr.generalized_affine_preimage(A, GREATER_THAN , A + 2, 1, 1) ***");
return ok;
}
@@ -432,7 +432,7 @@ test17() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.generalized_affine_preimage(A, LESS_THAN, A + 2) ***");
+ "*** gr.generalized_affine_preimage(A, LESS_THAN, A + 2) ***");
return ok;
}
diff --git a/tests/Grid/generator1.cc b/tests/Grid/generator1.cc
index c558e13..784e0cc 100644
--- a/tests/Grid/generator1.cc
+++ b/tests/Grid/generator1.cc
@@ -1,6 +1,6 @@
/* Test class Grid_Generator.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -26,7 +26,7 @@ site: http://bugseng.com/products/ppl/ . */
namespace {
// Point.
-static bool
+bool
test01() {
Variable A(0);
Variable B(1);
@@ -45,7 +45,7 @@ test01() {
}
// Point with divisor.
-static bool
+bool
test02() {
Variable A(0);
Variable B(1);
@@ -64,7 +64,7 @@ test02() {
}
// Line.
-static bool
+bool
test03() {
Variable A(0);
Variable B(1);
@@ -83,7 +83,7 @@ test03() {
}
// Parameter.
-static bool
+bool
test04() {
Variable A(0);
Variable B(1);
@@ -102,7 +102,7 @@ test04() {
}
// Parameter with divisor.
-static bool
+bool
test05() {
Variable A(0);
Variable B(1);
@@ -121,7 +121,7 @@ test05() {
}
// Negative first coefficient.
-static bool
+bool
test06() {
Variable A(0);
Variable B(1);
@@ -140,7 +140,7 @@ test06() {
}
// Construction from Generator.
-static bool
+bool
test07() {
Variable A(0);
Variable B(1);
@@ -159,7 +159,7 @@ test07() {
}
// Construction from reference to Generator.
-static bool
+bool
test08() {
Variable A(0);
Variable B(1);
@@ -181,7 +181,7 @@ test08() {
}
// Create from empty linear expression.
-static bool
+bool
test09() {
Linear_Expression le;
Grid_Generator a(grid_point(le));
@@ -197,7 +197,7 @@ test09() {
}
// Parameter with negative divisor.
-static bool
+bool
test10() {
Variable A(0);
Variable B(1);
@@ -216,7 +216,7 @@ test10() {
}
// Point with negative divisor.
-static bool
+bool
test11() {
Variable A(0);
Variable B(1);
@@ -235,7 +235,7 @@ test11() {
}
// Parameter with zero divisor.
-static bool
+bool
test12() {
Variable A(0);
Variable B(1);
@@ -254,7 +254,7 @@ test12() {
}
// Point with zero divisor.
-static bool
+bool
test13() {
Variable A(0);
Variable B(1);
@@ -273,7 +273,7 @@ test13() {
}
// Line.
-static bool
+bool
test14() {
Variable A(0);
Variable B(1);
@@ -292,7 +292,7 @@ test14() {
}
// is_equivalent_to() and is_equal_to(): generators have different types
-static bool
+bool
test15() {
Variable A(0);
@@ -321,7 +321,7 @@ test15() {
}
// is_equivalent_to(): generators have different space dimensions
-static bool
+bool
test16() {
Variable A(0);
Variable B(1);
@@ -348,8 +348,8 @@ test16() {
}
// Getting coefficients of dimensions and rebuilding a generator from
-// them. This is based on Example 6 in Grid_Generator.defs.hh
-static bool
+// them. This is based on Example 6 in Grid_Generator_defs.hh
+bool
test17() {
Variable A(0);
Variable B(1);
@@ -373,7 +373,7 @@ test17() {
}
// Copy construction of a grid generator.
-static bool
+bool
test18() {
Variable A(0);
Variable B(1);
@@ -392,7 +392,7 @@ test18() {
}
// Method zero_dim_point.
-static bool
+bool
test19() {
Grid_Generator a(Grid_Generator::zero_dim_point());
@@ -407,7 +407,7 @@ test19() {
}
// Method `type'.
-static bool
+bool
test20() {
Variable C(2);
@@ -424,7 +424,7 @@ test20() {
}
// Exception when trying to get the divisor of a line.
-static bool
+bool
test21() {
Variable C(2);
@@ -444,15 +444,12 @@ test21() {
return false;
}
-// Method zero_dim_point.
-static bool
+bool
test22() {
Variable A(0);
Variable B(1);
Variable C(2);
- Linear_Expression le(grid_point(A - B - 2*C));
-
bool ok = (grid_point(A - B - 2*C) == grid_point(A - B - 2*C));
return ok;
diff --git a/tests/Grid/generators1.cc b/tests/Grid/generators1.cc
index 774729c..07f8eab 100644
--- a/tests/Grid/generators1.cc
+++ b/tests/Grid/generators1.cc
@@ -1,6 +1,6 @@
/* Test Grid::generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -353,7 +353,7 @@ test14() {
// test clear() for empty generator system.
// This test showed a bug in the code for clear() in
-// Grid_Generator_System.inlines.hh which is now corrected.
+// Grid_Generator_System_inlines.hh which is now corrected.
bool
test15() {
Grid_Generator_System gs;
diff --git a/tests/Grid/generators2.cc b/tests/Grid/generators2.cc
index f388a7b..8a6e8a7 100644
--- a/tests/Grid/generators2.cc
+++ b/tests/Grid/generators2.cc
@@ -1,6 +1,6 @@
/* Test class Grid_Generator_System.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/grid1.cc b/tests/Grid/grid1.cc
index f4d2a77..3f6f6f8 100644
--- a/tests/Grid/grid1.cc
+++ b/tests/Grid/grid1.cc
@@ -1,6 +1,6 @@
/* Test reduction and conversion of grids created from generators.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -46,7 +46,7 @@ test01() {
bool ok = (gr == known_gr);
print_congruences(gr,
- "*** gr.add_grid_generator(grid_point(2*A)) ***");
+ "*** gr.add_grid_generator(grid_point(2*A)) ***");
return ok;
}
diff --git a/tests/Grid/grid2.cc b/tests/Grid/grid2.cc
index 55a3eb1..1d22076 100644
--- a/tests/Grid/grid2.cc
+++ b/tests/Grid/grid2.cc
@@ -1,6 +1,6 @@
/* Test reduction and conversion of grids created from congruences.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/grid3.cc b/tests/Grid/grid3.cc
index 2875977..673e6b5 100644
--- a/tests/Grid/grid3.cc
+++ b/tests/Grid/grid3.cc
@@ -1,6 +1,6 @@
/* Test construction of grids from constraints.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/griddifference1.cc b/tests/Grid/griddifference1.cc
index 4ec29ee..8555d4d 100644
--- a/tests/Grid/griddifference1.cc
+++ b/tests/Grid/griddifference1.cc
@@ -1,6 +1,6 @@
/* Test Grid::difference_assign() (a.k.a. Grid::difference_assign()).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/intersection1.cc b/tests/Grid/intersection1.cc
index a3fbd94..691c415 100644
--- a/tests/Grid/intersection1.cc
+++ b/tests/Grid/intersection1.cc
@@ -1,6 +1,6 @@
/* Test Grid::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -203,7 +203,7 @@ bool
test07() {
Congruence_System cgs;
Linear_Expression le;
- cgs.insert((le %= le) / 1); // (0 %= 0) / 1
+ cgs.insert((le %= le) / 1); // (0 %= 0) / 1
Grid gr1(cgs);
print_congruences(gr1, "*** gr1 ***");
diff --git a/tests/Grid/isempty1.cc b/tests/Grid/isempty1.cc
index dbc2509..8c52503 100644
--- a/tests/Grid/isempty1.cc
+++ b/tests/Grid/isempty1.cc
@@ -1,6 +1,6 @@
/* Test Grid::is_empty().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/isuniverse1.cc b/tests/Grid/isuniverse1.cc
index ea4068f..5a03998 100644
--- a/tests/Grid/isuniverse1.cc
+++ b/tests/Grid/isuniverse1.cc
@@ -1,6 +1,6 @@
/* Test Grid::is_universe().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/limitedextrapolation1.cc b/tests/Grid/limitedextrapolation1.cc
index 7554e9e..4dd0933 100644
--- a/tests/Grid/limitedextrapolation1.cc
+++ b/tests/Grid/limitedextrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Grid::limited_congruence_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/limitedextrapolation2.cc b/tests/Grid/limitedextrapolation2.cc
index 2a2a07f..59701ef 100644
--- a/tests/Grid/limitedextrapolation2.cc
+++ b/tests/Grid/limitedextrapolation2.cc
@@ -1,6 +1,6 @@
/* Test Grid::limited_generator_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/limitedextrapolation3.cc b/tests/Grid/limitedextrapolation3.cc
index ae7ede1..eca8ec1 100644
--- a/tests/Grid/limitedextrapolation3.cc
+++ b/tests/Grid/limitedextrapolation3.cc
@@ -1,6 +1,6 @@
/* Test Grid::limited_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/mapspacedims1.cc b/tests/Grid/mapspacedims1.cc
index 4412c3e..749ef8d 100644
--- a/tests/Grid/mapspacedims1.cc
+++ b/tests/Grid/mapspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Grid::map_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/maxmin1.cc b/tests/Grid/maxmin1.cc
index 0974b7e..14d00f5 100644
--- a/tests/Grid/maxmin1.cc
+++ b/tests/Grid/maxmin1.cc
@@ -1,7 +1,7 @@
/* Test Grid::maximize(const Linear_Expression&, ...)
and Grid::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -31,13 +31,13 @@ namespace {
bool
check_both(Grid& gr, const Linear_Expression& le,
- const std::string grid_name) {
+ const std::string grid_name) {
Generator ext_pnt(point());
bool dummy;
Coefficient ext_n, ext_d;
bool ok = (!gr.maximize(le, ext_n, ext_d, dummy, ext_pnt)
- && !gr.minimize(le, ext_n, ext_d, dummy, ext_pnt));
+ && !gr.minimize(le, ext_n, ext_d, dummy, ext_pnt));
if (!ok)
nout << grid_name << " bounded expr" << endl;
@@ -47,46 +47,46 @@ check_both(Grid& gr, const Linear_Expression& le,
bool
check_minimize(Grid& gr, const Linear_Expression& le,
- Coefficient_traits::const_reference expected_n,
- Coefficient_traits::const_reference expected_d,
- const Generator& expected_pnt,
- const std::string grid_name) {
+ Coefficient_traits::const_reference expected_n,
+ Coefficient_traits::const_reference expected_d,
+ const Generator& expected_pnt,
+ const std::string grid_name) {
Generator inf_pnt(point());
bool dummy;
Coefficient inf_n, inf_d;
bool ok = (gr.minimize(le, inf_n, inf_d, dummy, inf_pnt)
- && inf_n == expected_n
- && inf_d == expected_d
- && inf_pnt == expected_pnt);
+ && inf_n == expected_n
+ && inf_d == expected_d
+ && inf_pnt == expected_pnt);
if (!ok)
nout << "grid name " << grid_name << " min point " << inf_pnt
- << " (expected " << expected_pnt << ")" << endl;
+ << " (expected " << expected_pnt << ")" << endl;
return ok;
}
bool
check_maximize(Grid& gr, const Linear_Expression& le,
- Coefficient_traits::const_reference expected_n,
- Coefficient_traits::const_reference expected_d,
- const Generator& expected_pnt,
- const std::string grid_name) {
+ Coefficient_traits::const_reference expected_n,
+ Coefficient_traits::const_reference expected_d,
+ const Generator& expected_pnt,
+ const std::string grid_name) {
Generator sup_pnt(point());
bool dummy;
Coefficient sup_n, sup_d;
bool ok = (gr.maximize(le, sup_n, sup_d, dummy, sup_pnt)
- && sup_n == expected_n
- && sup_d == expected_d
- && sup_pnt == expected_pnt);
+ && sup_n == expected_n
+ && sup_d == expected_d
+ && sup_pnt == expected_pnt);
if (!ok)
nout << "grid name " << grid_name << " max point " << sup_pnt
- << " (expected " << expected_pnt << ")" << endl;
+ << " (expected " << expected_pnt << ")" << endl;
return ok;
}
@@ -101,7 +101,7 @@ test01() {
Generator pnt(point());
bool ok = (!gr.maximize(Linear_Expression(0), extr_n, extr_d, dummy, pnt)
- && !gr.minimize(Linear_Expression(0), extr_n, extr_d, dummy, pnt));
+ && !gr.minimize(Linear_Expression(0), extr_n, extr_d, dummy, pnt));
return ok;
}
diff --git a/tests/Grid/membytes1.cc b/tests/Grid/membytes1.cc
index d073ff6..98e456f 100644
--- a/tests/Grid/membytes1.cc
+++ b/tests/Grid/membytes1.cc
@@ -1,7 +1,7 @@
/* Test Grid::total_memory_in_bytes() and
Grid::external_memory_in_bytes().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -168,7 +168,7 @@ test01() {
Grid gr2(3, EMPTY);
unsigned n = 0;
for (Grid_Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i) {
+ gs_end = gs.end(); i != gs_end; ++i) {
add_grid_generator(gr2, *i);
if (++n % 4 == 0)
minimize(gr2);
@@ -182,7 +182,7 @@ test01() {
memory_size_type cgs_elements_size = 0;
for (Congruence_System::const_iterator i = cgs.begin(),
- cgs_end = cgs.end(); i != cgs_end; ++i)
+ cgs_end = cgs.end(); i != cgs_end; ++i)
cgs_elements_size += i->total_memory_in_bytes();
nout << "Sum of sizes of contained congruences = " << cgs_elements_size
@@ -194,7 +194,7 @@ test01() {
memory_size_type gs_elements_size = 0;
for (Grid_Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
gs_elements_size += i->total_memory_in_bytes();
nout << "Sum of sizes of contained generators = " << gs_elements_size
diff --git a/tests/Grid/mincongruences1.cc b/tests/Grid/mincongruences1.cc
index 4a57984..8a1d41d 100644
--- a/tests/Grid/mincongruences1.cc
+++ b/tests/Grid/mincongruences1.cc
@@ -1,6 +1,6 @@
/* Test Grid::minimized_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/mingenerators1.cc b/tests/Grid/mingenerators1.cc
index 543432f..1c28e64 100644
--- a/tests/Grid/mingenerators1.cc
+++ b/tests/Grid/mingenerators1.cc
@@ -1,6 +1,6 @@
/* Test Grid::minimized_grid_generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/outputoperator1.cc b/tests/Grid/outputoperator1.cc
index 6ac29de..5422174 100644
--- a/tests/Grid/outputoperator1.cc
+++ b/tests/Grid/outputoperator1.cc
@@ -1,6 +1,6 @@
/* Test IO_Operators::operator<<(s, gr).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/outputoperator2.cc b/tests/Grid/outputoperator2.cc
index 6ee2af0..9340008 100644
--- a/tests/Grid/outputoperator2.cc
+++ b/tests/Grid/outputoperator2.cc
@@ -1,6 +1,6 @@
/* Test Grid_Generator IO operators.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/outputoperator3.cc b/tests/Grid/outputoperator3.cc
index 4741099..b467c0e 100644
--- a/tests/Grid/outputoperator3.cc
+++ b/tests/Grid/outputoperator3.cc
@@ -1,6 +1,6 @@
/* Test Grid_Generator_System IO operators.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/partition1.cc b/tests/Grid/partition1.cc
index 2f298ba..e5cbd3d 100644
--- a/tests/Grid/partition1.cc
+++ b/tests/Grid/partition1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<Grid>.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -33,11 +33,11 @@ site: http://bugseng.com/products/ppl/ . */
#endif // PPL_DOXYGEN_INCLUDE_IMPLEMENTATION_DETAILS
void
partition_aux(const Congruence& c,
- Grid& qq,
- Pointset_Powerset<Grid>& r) {
+ Grid& qq,
+ Pointset_Powerset<Grid>& r) {
const Coefficient& c_modulus = c.modulus();
const Coefficient& c_inhomogeneous_term = c.inhomogeneous_term();
- Linear_Expression le(c);
+ Linear_Expression le(c.expression());
le -= c_inhomogeneous_term;
PPL_DIRTY_TEMP_COEFFICIENT(n);
rem_assign(n, c_inhomogeneous_term, c_modulus);
@@ -47,7 +47,7 @@ partition_aux(const Congruence& c,
Grid qqq(qq);
qqq.add_congruence((le+i %= 0) / c_modulus);
if (qqq.is_empty())
- r.add_disjunct(qqq);
+ r.add_disjunct(qqq);
}
qq.add_congruence(c);
}
@@ -59,7 +59,7 @@ partition(const Grid& p, const Grid& q) {
Grid qq = q;
const Congruence_System& pcs = p.congruences();
for (Congruence_System::const_iterator i = pcs.begin(),
- pcs_end = pcs.end(); i != pcs_end; ++i)
+ pcs_end = pcs.end(); i != pcs_end; ++i)
partition_aux(*i, qq, r);
return std::pair<Grid, Pointset_Powerset<Grid> >(qq, r);
}
diff --git a/tests/Grid/powersetdifference1.cc b/tests/Grid/powersetdifference1.cc
index 8efdb6a..2aec297 100644
--- a/tests/Grid/powersetdifference1.cc
+++ b/tests/Grid/powersetdifference1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<Grid>.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/powersetgeometricallycovers1.cc b/tests/Grid/powersetgeometricallycovers1.cc
index 11b1cff..8060451 100644
--- a/tests/Grid/powersetgeometricallycovers1.cc
+++ b/tests/Grid/powersetgeometricallycovers1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<Grid>.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/powersetgeometricallyequals1.cc b/tests/Grid/powersetgeometricallyequals1.cc
index f6c965f..3e2b5e1 100644
--- a/tests/Grid/powersetgeometricallyequals1.cc
+++ b/tests/Grid/powersetgeometricallyequals1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<Grid>.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/refinewithcongruences1.cc b/tests/Grid/refinewithcongruences1.cc
index 04cfabc..deed92e 100644
--- a/tests/Grid/refinewithcongruences1.cc
+++ b/tests/Grid/refinewithcongruences1.cc
@@ -1,6 +1,6 @@
/* Test refine_with_congruence() and refine_with_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/refinewithconstraints1.cc b/tests/Grid/refinewithconstraints1.cc
index dd25f4d..540ac5f 100644
--- a/tests/Grid/refinewithconstraints1.cc
+++ b/tests/Grid/refinewithconstraints1.cc
@@ -1,6 +1,6 @@
/* Test refine_with_constraint() and refine_with_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/relations1.cc b/tests/Grid/relations1.cc
index 42880f4..e325139 100644
--- a/tests/Grid/relations1.cc
+++ b/tests/Grid/relations1.cc
@@ -1,6 +1,6 @@
/* Test Grid::relation_with(g).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -98,7 +98,7 @@ test05() {
print_congruences(gr, "*** gr ***");
bool ok = (gr.relation_with(grid_point()) == Poly_Gen_Relation::nothing()
- && gr.relation_with(grid_point(-B)) == Poly_Gen_Relation::nothing());
+ && gr.relation_with(grid_point(-B)) == Poly_Gen_Relation::nothing());
return ok;
}
@@ -235,7 +235,7 @@ test14() {
print_congruences(gr, "*** gr ***");
bool ok = (gr.relation_with(point()) == Poly_Gen_Relation::nothing()
- && gr.relation_with(point(-B)) == Poly_Gen_Relation::nothing());
+ && gr.relation_with(point(-B)) == Poly_Gen_Relation::nothing());
return ok;
}
diff --git a/tests/Grid/relations2.cc b/tests/Grid/relations2.cc
index ccd648b..991c17b 100644
--- a/tests/Grid/relations2.cc
+++ b/tests/Grid/relations2.cc
@@ -1,6 +1,6 @@
/* Test Grid::relation_with(cg).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -121,9 +121,9 @@ test06() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with((B %= 0) / 2)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -147,19 +147,19 @@ test07() {
// Proper congruence.
&& gr.relation_with(Linear_Expression(1) %= 1)
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
+ && Poly_Con_Relation::saturates())
// Proper congruence.
&& gr.relation_with((Linear_Expression(5) %= 1) / 4)
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
+ && Poly_Con_Relation::saturates())
// Equality.
&& gr.relation_with(Linear_Expression(1) %= 1)
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
+ && Poly_Con_Relation::saturates())
// Integrality congruence.
&& gr.relation_with(Congruence::zero_dim_integrality())
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -212,7 +212,7 @@ test10() {
== Poly_Con_Relation::is_disjoint()
&& gr.relation_with((2*A %= 1) / 0)
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
+ && Poly_Con_Relation::saturates())
&& gr.relation_with(2*A %= 1)
== Poly_Con_Relation::is_included());
@@ -230,7 +230,7 @@ test11() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with((10*A %= 1) / 0)
- == Poly_Con_Relation::is_disjoint());
+ == Poly_Con_Relation::is_disjoint());
return ok;
}
@@ -304,8 +304,8 @@ test15() {
bool ok
= (gr.relation_with((B %= 0) / 2)
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -376,8 +376,8 @@ test19() {
bool ok
= (gr.relation_with((A %= 0) / 8)
== (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
return ok;
}
diff --git a/tests/Grid/relations3.cc b/tests/Grid/relations3.cc
index 08a56b9..5bc8244 100644
--- a/tests/Grid/relations3.cc
+++ b/tests/Grid/relations3.cc
@@ -1,6 +1,6 @@
/* Test Grid::relation_with(const Constraint&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -54,19 +54,19 @@ test02() {
using namespace Parma_Polyhedra_Library::IO_Operators;
bool ok = (gr.relation_with(A + 0*B == 0)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(B > -2)
- == Poly_Con_Relation::is_included()
- && gr.relation_with(B > 2)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(B >= 2)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(B < -2)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(B <= -2)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(B == -2)
- == Poly_Con_Relation::is_disjoint());
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(B > -2)
+ == Poly_Con_Relation::is_included()
+ && gr.relation_with(B > 2)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(B >= 2)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(B < -2)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(B <= -2)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(B == -2)
+ == Poly_Con_Relation::is_disjoint());
return ok;
}
@@ -82,8 +82,8 @@ test03() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(B == 1)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -98,13 +98,13 @@ test04() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(B == 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates())
- && gr.relation_with(B > 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates())
+ && gr.relation_with(B > 0)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -116,24 +116,24 @@ test05() {
print_generators(gr, "*** gr ***");
bool ok = (// False.
- gr.relation_with(Linear_Expression(1) == 0)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(Linear_Expression(0) > 0)
- == (Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_disjoint())
- // True.
- && gr.relation_with(Linear_Expression(1) == 1)
- == (Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included())
- && gr.relation_with(Linear_Expression(0) >= 0)
- == (Poly_Con_Relation::saturates()
- && Poly_Con_Relation::is_included())
- // False.
- && gr.relation_with(Linear_Expression(1) < 0)
- == Poly_Con_Relation::is_disjoint()
- // True.
- && gr.relation_with(Linear_Expression(1) >= 0)
- == Poly_Con_Relation::is_included());
+ gr.relation_with(Linear_Expression(1) == 0)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(Linear_Expression(0) > 0)
+ == (Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_disjoint())
+ // True.
+ && gr.relation_with(Linear_Expression(1) == 1)
+ == (Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included())
+ && gr.relation_with(Linear_Expression(0) >= 0)
+ == (Poly_Con_Relation::saturates()
+ && Poly_Con_Relation::is_included())
+ // False.
+ && gr.relation_with(Linear_Expression(1) < 0)
+ == Poly_Con_Relation::is_disjoint()
+ // True.
+ && gr.relation_with(Linear_Expression(1) >= 0)
+ == Poly_Con_Relation::is_included());
return ok;
}
@@ -150,11 +150,11 @@ test06() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(5*A - 2*B == 1)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(5*A - 2*B > 1)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(5*A - 2*B >= 1)
- == Poly_Con_Relation::is_disjoint());
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(5*A - 2*B > 1)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(5*A - 2*B >= 1)
+ == Poly_Con_Relation::is_disjoint());
return ok;
}
@@ -169,15 +169,15 @@ test07() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A == 3)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(2*A == 1)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- && gr.relation_with(2*A < 1)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(2*A >= 1)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(2*A == 1)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ && gr.relation_with(2*A < 1)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(2*A >= 1)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -193,9 +193,9 @@ test08() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(10*A == 1)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(Linear_Expression(10) > 10)
- == Poly_Con_Relation::is_disjoint());
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(Linear_Expression(10) > 10)
+ == Poly_Con_Relation::is_disjoint());
return ok;
}
@@ -211,11 +211,11 @@ test09() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(Linear_Expression(10) == 10)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- && gr.relation_with(Linear_Expression(10) >= 10)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ && gr.relation_with(Linear_Expression(10) >= 10)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -232,9 +232,9 @@ test10() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A + B == 0)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(A + B >= 0)
- == Poly_Con_Relation::strictly_intersects());
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(A + B >= 0)
+ == Poly_Con_Relation::strictly_intersects());
return ok;
}
@@ -272,13 +272,13 @@ test12() {
print_congruences(gr, "*** gr ***");
bool ok = (gr.relation_with(B == 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates())
- && gr.relation_with(B >= 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates())
+ && gr.relation_with(B >= 0)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -294,7 +294,7 @@ test13() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A == 0)
- == Poly_Con_Relation::is_disjoint());
+ == Poly_Con_Relation::is_disjoint());
return ok;
}
@@ -312,7 +312,7 @@ test14() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A + B == 0)
- == Poly_Con_Relation::strictly_intersects());
+ == Poly_Con_Relation::strictly_intersects());
return ok;
}
@@ -330,7 +330,7 @@ test15() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A + B == 0)
- == Poly_Con_Relation::strictly_intersects());
+ == Poly_Con_Relation::strictly_intersects());
return ok;
}
@@ -347,13 +347,13 @@ test16() {
print_congruences(gr, "*** gr ***");
bool ok = (gr.relation_with(A + B == 8)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates())
- && gr.relation_with(A + B > 8)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates())
+ && gr.relation_with(A + B > 8)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -370,13 +370,13 @@ test17() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A > 1)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(A >= 1)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(A < 1)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(A <= 1)
- == Poly_Con_Relation::strictly_intersects());
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(A >= 1)
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(A < 1)
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(A <= 1)
+ == Poly_Con_Relation::strictly_intersects());
return ok;
}
@@ -396,14 +396,14 @@ test18() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(A + B + C == 0)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(A + B == 0)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(A == 0)
- == Poly_Con_Relation::strictly_intersects()
- && gr.relation_with(Linear_Expression(0) == 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(A + B == 0)
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(A == 0)
+ == Poly_Con_Relation::strictly_intersects()
+ && gr.relation_with(Linear_Expression(0) == 0)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -415,25 +415,25 @@ test19() {
print_generators(gr, "*** gr ***");
bool ok = (// False.
- gr.relation_with(Linear_Expression(1) == 0)
- == (Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- // True.
- && gr.relation_with(Linear_Expression(1) == 1)
- == (Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- // False.
- && gr.relation_with(Linear_Expression(1) < 0)
- == (Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- // True.
- && gr.relation_with(Linear_Expression(1) >= 0)
- == (Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ gr.relation_with(Linear_Expression(1) == 0)
+ == (Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ // True.
+ && gr.relation_with(Linear_Expression(1) == 1)
+ == (Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ // False.
+ && gr.relation_with(Linear_Expression(1) < 0)
+ == (Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ // True.
+ && gr.relation_with(Linear_Expression(1) >= 0)
+ == (Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
return ok;
}
@@ -452,11 +452,11 @@ test20() {
print_generators(gr, "*** gr ***");
bool ok = (gr.relation_with(5*A - 2*B == 1)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(5*A - 2*B > 1)
- == Poly_Con_Relation::is_disjoint()
- && gr.relation_with(5*A - 2*B >= 1)
- == Poly_Con_Relation::is_disjoint());
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(5*A - 2*B > 1)
+ == Poly_Con_Relation::is_disjoint()
+ && gr.relation_with(5*A - 2*B >= 1)
+ == Poly_Con_Relation::is_disjoint());
return ok;
}
diff --git a/tests/Grid/removespacedims1.cc b/tests/Grid/removespacedims1.cc
index 202851c..cf97d9e 100644
--- a/tests/Grid/removespacedims1.cc
+++ b/tests/Grid/removespacedims1.cc
@@ -1,6 +1,6 @@
/* Test Grid::remove_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/removespacedims2.cc b/tests/Grid/removespacedims2.cc
index aa0ba4c..b11f2be 100644
--- a/tests/Grid/removespacedims2.cc
+++ b/tests/Grid/removespacedims2.cc
@@ -1,6 +1,6 @@
/* Test Grid::remove_higher_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/simplifyusingcontext1.cc b/tests/Grid/simplifyusingcontext1.cc
index 4b1742a..0f0e13f 100644
--- a/tests/Grid/simplifyusingcontext1.cc
+++ b/tests/Grid/simplifyusingcontext1.cc
@@ -1,6 +1,6 @@
/* Test Grid::simplify_using_context_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/timeelapse1.cc b/tests/Grid/timeelapse1.cc
index 564a5a4..5048665 100644
--- a/tests/Grid/timeelapse1.cc
+++ b/tests/Grid/timeelapse1.cc
@@ -1,6 +1,6 @@
/* Test Grid::time_elapse_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/topclosed1.cc b/tests/Grid/topclosed1.cc
index 1ee052c..8a0ef5c 100644
--- a/tests/Grid/topclosed1.cc
+++ b/tests/Grid/topclosed1.cc
@@ -1,6 +1,6 @@
/* Test Grid::is_topologically_closed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/topclosure1.cc b/tests/Grid/topclosure1.cc
index 1a05bcf..4c8f269 100644
--- a/tests/Grid/topclosure1.cc
+++ b/tests/Grid/topclosure1.cc
@@ -1,6 +1,6 @@
/* Test Grid::topological_closure_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/unconstrain1.cc b/tests/Grid/unconstrain1.cc
index fcc1cdf..dc3189a 100644
--- a/tests/Grid/unconstrain1.cc
+++ b/tests/Grid/unconstrain1.cc
@@ -1,6 +1,6 @@
/* Test Grid::unconstrain().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/upperbound1.cc b/tests/Grid/upperbound1.cc
index 94078fa..b3fae44 100644
--- a/tests/Grid/upperbound1.cc
+++ b/tests/Grid/upperbound1.cc
@@ -1,6 +1,6 @@
/* Test Grid::upper_bound_assign()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/upperbound2.cc b/tests/Grid/upperbound2.cc
index b84e414..4054767 100644
--- a/tests/Grid/upperbound2.cc
+++ b/tests/Grid/upperbound2.cc
@@ -1,6 +1,6 @@
/* Test Grid::upper_bound_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/widening1.cc b/tests/Grid/widening1.cc
index 6da3845..2b93614 100644
--- a/tests/Grid/widening1.cc
+++ b/tests/Grid/widening1.cc
@@ -1,6 +1,6 @@
/* Test Grid::congruence_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/widening2.cc b/tests/Grid/widening2.cc
index fd954d7..4f58f62 100644
--- a/tests/Grid/widening2.cc
+++ b/tests/Grid/widening2.cc
@@ -1,6 +1,6 @@
/* Test Grid::generator_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/widening3.cc b/tests/Grid/widening3.cc
index ccd249f..a1316bd 100644
--- a/tests/Grid/widening3.cc
+++ b/tests/Grid/widening3.cc
@@ -1,6 +1,6 @@
/* Test Grid::widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/wrap1.cc b/tests/Grid/wrap1.cc
index c826567..dc8101e 100644
--- a/tests/Grid/wrap1.cc
+++ b/tests/Grid/wrap1.cc
@@ -1,6 +1,6 @@
/* Test Grid::wrap_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Grid/writecongruencesystem.cc b/tests/Grid/writecongruencesystem.cc
index 6f8563d..422dfab 100644
--- a/tests/Grid/writecongruencesystem.cc
+++ b/tests/Grid/writecongruencesystem.cc
@@ -1,6 +1,6 @@
/* Test operator<<(std::ostream&, const Congruence_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/MIP_Problem/Makefile.am b/tests/MIP_Problem/Makefile.am
index 434e050..100f0bc 100644
--- a/tests/MIP_Problem/Makefile.am
+++ b/tests/MIP_Problem/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/MIP_Problem/Makefile.in b/tests/MIP_Problem/Makefile.in
index 9ed7ced..fcd7aa6 100644
--- a/tests/MIP_Problem/Makefile.in
+++ b/tests/MIP_Problem/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -62,7 +78,8 @@ TESTS = ascii_dump_load1$(EXEEXT) exceptions1$(EXEEXT) \
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1) $(am__EXEEXT_2)
subdir = tests/MIP_Problem
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -108,6 +125,7 @@ ascii_dump_load1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_exceptions1_OBJECTS = exceptions1.$(OBJEXT)
exceptions1_OBJECTS = $(am_exceptions1_OBJECTS)
exceptions1_LDADD = $(LDADD)
@@ -138,6 +156,18 @@ mipproblem4_LDADD = $(LDADD)
mipproblem4_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -150,30 +180,33 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(ascii_dump_load1_SOURCES) $(exceptions1_SOURCES) \
$(mipproblem1_SOURCES) $(mipproblem2_SOURCES) \
$(mipproblem3_SOURCES) $(mipproblem4_SOURCES)
DIST_SOURCES = $(ascii_dump_load1_SOURCES) $(exceptions1_SOURCES) \
$(mipproblem1_SOURCES) $(mipproblem2_SOURCES) \
$(mipproblem3_SOURCES) $(mipproblem4_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -555,6 +588,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -568,7 +615,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -792,8 +839,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/MIP_Problem/ascii_dump_load1.cc b/tests/MIP_Problem/ascii_dump_load1.cc
index 8eb1777..f34a673 100644
--- a/tests/MIP_Problem/ascii_dump_load1.cc
+++ b/tests/MIP_Problem/ascii_dump_load1.cc
@@ -1,6 +1,6 @@
/* Test MIP_Problem::ascii_dump() and MIP_Problem::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/MIP_Problem/exceptions1.cc b/tests/MIP_Problem/exceptions1.cc
index 2ea9c94..51aecdd 100644
--- a/tests/MIP_Problem/exceptions1.cc
+++ b/tests/MIP_Problem/exceptions1.cc
@@ -1,6 +1,6 @@
/* Test that the right exceptions are thrown in case of incorrect uses.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -227,7 +227,7 @@ test10() {
try {
// This tries to overflow the maximum space dimension.
MIP_Problem mip(MIP_Problem::max_space_dimension() + 1,
- cs, cost, MAXIMIZATION);
+ cs, cost, MAXIMIZATION);
}
catch (std::length_error& e) {
nout << "length_error: " << e.what() << endl << endl;
@@ -394,8 +394,8 @@ test16() {
try {
// This tries to overflow the maximum space dimension.
MIP_Problem mip(MIP_Problem::max_space_dimension() + 1,
- cs.begin(), cs.end(),
- A + B, MAXIMIZATION);
+ cs.begin(), cs.end(),
+ A + B, MAXIMIZATION);
}
catch (std::length_error& e) {
nout << "length_error: " << e.what() << endl << endl;
@@ -421,8 +421,8 @@ test17() {
try {
// This tries to let exceed the objective function space dimension.
MIP_Problem mip(cs.space_dimension(),
- cs.begin(), cs.end(),
- A + B + C, MAXIMIZATION);
+ cs.begin(), cs.end(),
+ A + B + C, MAXIMIZATION);
}
catch (std::invalid_argument& e) {
nout << "invalid_argument: " << e.what() << endl << endl;
@@ -447,7 +447,7 @@ test18() {
try {
// This tries to build an MIP_Problem with strict inequalities..
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(),
- A + B, MAXIMIZATION);
+ A + B, MAXIMIZATION);
}
catch (std::invalid_argument& e) {
nout << "invalid_argument: " << e.what() << endl << endl;
@@ -472,7 +472,7 @@ test19() {
try {
// This tries to build an MIP_Problem with a wrong space dimension.
MIP_Problem mip(cs.space_dimension() - 1, cs.begin(), cs.end(),
- A + B, MAXIMIZATION);
+ A + B, MAXIMIZATION);
}
catch (std::invalid_argument& e) {
nout << "invalid_argument: " << e.what() << endl << endl;
diff --git a/tests/MIP_Problem/mipproblem1.cc b/tests/MIP_Problem/mipproblem1.cc
index 46eb895..099082e 100644
--- a/tests/MIP_Problem/mipproblem1.cc
+++ b/tests/MIP_Problem/mipproblem1.cc
@@ -1,6 +1,6 @@
/* Test the MIP_Problem class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -74,10 +74,10 @@ test01() {
cs.insert(X02 - Coefficient("3152519739159347")*X14 >= 0);
cs.insert(X06 + X07 + X08 + X09 - X14 - X15 == 0);
cs.insert(Coefficient("2386907802506363")*X06
- + Coefficient("2386907802506363")*X07
- + Coefficient("1080863910568919")*X08
- + Coefficient("7746191359077253")*X09
- - X16 == 0);
+ + Coefficient("2386907802506363")*X07
+ + Coefficient("1080863910568919")*X08
+ + Coefficient("7746191359077253")*X09
+ - X16 == 0);
cs.insert(-X06 + X10 >= -80);
cs.insert(-X07 + X11 >= 0);
cs.insert(-X08 + X12 >= 0);
@@ -87,30 +87,30 @@ test01() {
cs.insert(-X22 >= -500);
cs.insert(X23 - Coefficient("3152519739159347")*X36 >= 0);
cs.insert(Coefficient("7746191359077253")*X28
- + Coefficient("7746191359077253")*X29
- + Coefficient("3512807709348987")*X30
- + Coefficient("3332663724254167")*X31
- - X38 == 0);
+ + Coefficient("7746191359077253")*X29
+ + Coefficient("3512807709348987")*X30
+ + Coefficient("3332663724254167")*X31
+ - X38 == 0);
cs.insert(X28 + X29 + X30 + X31 - X36 + X37 + X39 == 44);
cs.insert(-X28 + X32 >= -500);
cs.insert(-X29 + X33 >= 0);
cs.insert(-X30 + X34 >= 0);
cs.insert(-X31 + X35 >= 0);
cs.insert(Coefficient("-2661627379775963")*X10
- - Coefficient("2686397177726501")*X11
- - Coefficient("5422333951354077")*X12
- - Coefficient("5469621747441467")*X13
- + X25
- - Coefficient("2466846695892189")*X32
- - Coefficient("4996743786567565")*X33
- - Coefficient("5064297780978123")*X34
- - Coefficient("641481471923585")*X35 >= 0);
+ - Coefficient("2686397177726501")*X11
+ - Coefficient("5422333951354077")*X12
+ - Coefficient("5469621747441467")*X13
+ + X25
+ - Coefficient("2466846695892189")*X32
+ - Coefficient("4996743786567565")*X33
+ - Coefficient("5064297780978123")*X34
+ - Coefficient("641481471923585")*X35 >= 0);
cs.insert(X03 - Coefficient("7854277750134145")*X22 >= 0);
cs.insert(X15
- - Coefficient("7854277750134145")*X28
- - Coefficient("7782220156096217")*X29
- - Coefficient("7782220156096217")*X30
- - Coefficient("7710162562058289")*X31 >= 0);
+ - Coefficient("7854277750134145")*X28
+ - Coefficient("7782220156096217")*X29
+ - Coefficient("7782220156096217")*X30
+ - Coefficient("7710162562058289")*X31 >= 0);
cs.insert(Coefficient("-5422333951354077")*X01 + X24 >= 0);
cs.insert(X21 >= 2);
cs.insert(-X16 - X38 >= -300);
@@ -217,8 +217,8 @@ test02() {
nout << "Optimizing point = ";
print_generator(pg);
pg_kr = point(17100*A + 26174*B + 2274482*C
- + 1063871*D + 388070456*E + 18627830*F + 0*H,
- 94392);
+ + 1063871*D + 388070456*E + 18627830*F + 0*H,
+ 94392);
if (pg != pg_kr)
return false;
@@ -239,485 +239,485 @@ test03() {
Constraint_System cs;
cs.insert(Coefficient("2251799813685248")*A
- >= Coefficient("-5895288448651847"));
+ >= Coefficient("-5895288448651847"));
cs.insert(Coefficient("5895288437392848")*A
- + Coefficient("3643488632714799")*B
- - Coefficient("2251799813685248")*C
- >= Coefficient("-19077554137963492"));
+ + Coefficient("3643488632714799")*B
+ - Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554137963492"));
cs.insert(Coefficient("5895288437392848")*A +
- Coefficient("3643488632714799")*B
- + Coefficient("2251799813685248")*C >=
- Coefficient("-19077554137963492"));
+ Coefficient("3643488632714799")*B
+ + Coefficient("2251799813685248")*C >=
+ Coefficient("-19077554137963492"));
cs.insert(Coefficient("11790576874785696")*A
- + Coefficient("4503599627370496")*B
- + Coefficient("7286977274436797")*D
- >= Coefficient("-38155108284934184"));
+ + Coefficient("4503599627370496")*B
+ + Coefficient("7286977274436797")*D
+ >= Coefficient("-38155108284934184"));
cs.insert(Coefficient("11790576874785696")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*D
- >= Coefficient("-38155108284934184"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("7286977274436797")*D
+ >= Coefficient("-38155108284934184"));
cs.insert(Coefficient("11790576879289294")*A
- + Coefficient("7286977274436797")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ + Coefficient("7286977274436797")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- + Coefficient("7286977274436797")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ + Coefficient("7286977274436797")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- - Coefficient("7286977274436797")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ - Coefficient("7286977274436797")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- - Coefficient("7286977274436797")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ - Coefficient("7286977274436797")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("2947644225451823")*A
- - Coefficient("1125899906842624")*B
- + Coefficient("1821744319735099")*D
- >= Coefficient("-9538777088122044"));
+ - Coefficient("1125899906842624")*B
+ + Coefficient("1821744319735099")*D
+ >= Coefficient("-9538777088122044"));
cs.insert(Coefficient("11790576892800094")*A
- - Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*D
- >= Coefficient("-38155108325466584"));
+ - Coefficient("4503599627370496")*B
+ - Coefficient("7286977274436797")*D
+ >= Coefficient("-38155108325466584"));
cs.insert(Coefficient("5895288437392848")*A
- - Coefficient("3643488630462999")*B
- + Coefficient("2251799813685248")*C
- >= Coefficient("-19077554133459892"));
+ - Coefficient("3643488630462999")*B
+ + Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554133459892"));
cs.insert(Coefficient("2947644218696424")*A
- - Coefficient("1821744320860999")*B
- - Coefficient("1125899906842624")*C
- >= Coefficient("-9538777072359446"));
+ - Coefficient("1821744320860999")*B
+ - Coefficient("1125899906842624")*C
+ >= Coefficient("-9538777072359446"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("11790576924325290")*B
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108379509776"));
+ + Coefficient("11790576924325290")*B
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108379509776"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("11790576924325290")*B
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108379509776"));
+ + Coefficient("11790576924325290")*B
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108379509776"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644226577723"));
+ + Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644226577723"));
+ + Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644225451823"));
+ + Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644225451823"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644225451823"));
+ + Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644225451823"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("4503599627370496")*B
- + Coefficient("11790576865778496")*C
- >= Coefficient("-38155108266919784"));
+ + Coefficient("4503599627370496")*B
+ + Coefficient("11790576865778496")*C
+ >= Coefficient("-38155108266919784"));
cs.insert(Coefficient("7286977251918799")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("11790576870282096")*C
- >= Coefficient("-38155108244401792"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("11790576870282096")*C
+ >= Coefficient("-38155108244401792"));
cs.insert(Coefficient("1821744320860999")*A
- + Coefficient("1125899906842624")*C
- + Coefficient("2947644226577723")*D
- >= Coefficient("-9538777093751544"));
+ + Coefficient("1125899906842624")*C
+ + Coefficient("2947644226577723")*D
+ >= Coefficient("-9538777093751544"));
cs.insert(Coefficient("1821744320860999")*A
- + Coefficient("1125899906842624")*C
- - Coefficient("2947644226577723")*
- D >= Coefficient("-9538777093751544"));
+ + Coefficient("1125899906842624")*C
+ - Coefficient("2947644226577723")*
+ D >= Coefficient("-9538777093751544"));
cs.insert(Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- + Coefficient("2947644228829523")*D
- >= Coefficient("-9538777096003344"));
+ - Coefficient("1125899906842624")*C
+ + Coefficient("2947644228829523")*D
+ >= Coefficient("-9538777096003344"));
cs.insert(Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- - Coefficient("2947644228829523")*D
- >= Coefficient("-9538777096003344"));
+ - Coefficient("1125899906842624")*C
+ - Coefficient("2947644228829523")*D
+ >= Coefficient("-9538777096003344"));
cs.insert(Coefficient("3643488664239996")*A
- - Coefficient("2251799813685248")*B
- + Coefficient("5895288468918045")*C
- >= Coefficient("-19077554257308884"));
+ - Coefficient("2251799813685248")*B
+ + Coefficient("5895288468918045")*C
+ >= Coefficient("-19077554257308884"));
cs.insert(Coefficient("3643488652980997")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("5895288468918045")*C
- >= Coefficient("-19077554232539084"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("5895288468918045")*C
+ >= Coefficient("-19077554232539084"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644226577723"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644229392473"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644229392473"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644227140673"));
+ - Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644227140673"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644227703623"));
+ - Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644227703623"));
cs.insert(Coefficient("7286977314969193")*A
- - Coefficient("11790576906310892")*B
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108447063768"));
+ - Coefficient("11790576906310892")*B
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108447063768"));
cs.insert(Coefficient("3643488655232797")*A
- - Coefficient("5895288446400047")*B
- - Coefficient("2251799813685248")*D
- >= Coefficient("-19077554203265688"));
+ - Coefficient("5895288446400047")*B
+ - Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554203265688"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576753188506")*B
- + Coefficient("7286977179861205")*C
- >= Coefficient("-38155107920142616"));
+ + Coefficient("11790576753188506")*B
+ + Coefficient("7286977179861205")*C
+ >= Coefficient("-38155107920142616"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576766699304")*B
- - Coefficient("7286977179861205")*C
- >= Coefficient("-38155107965178608"));
+ + Coefficient("11790576766699304")*B
+ - Coefficient("7286977179861205")*C
+ >= Coefficient("-38155107965178608"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("7286977157343207")*B
- + Coefficient("11790576712656108")*D
- >= Coefficient("-38155107816559824"));
+ + Coefficient("7286977157343207")*B
+ + Coefficient("11790576712656108")*D
+ >= Coefficient("-38155107816559824"));
cs.insert(Coefficient("2251799813685248")*A
- + Coefficient("3643488592182402")*B
- - Coefficient("5895288374342453")*D
- >= Coefficient("-19077553960071308"));
+ + Coefficient("3643488592182402")*B
+ - Coefficient("5895288374342453")*D
+ >= Coefficient("-19077553960071308"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576753188506")*C
- + Coefficient("7286977175357605")*D
- >= Coefficient("-38155107924646216"));
+ + Coefficient("11790576753188506")*C
+ + Coefficient("7286977175357605")*D
+ >= Coefficient("-38155107924646216"));
cs.insert(Coefficient("2251799813685248")*A
- + Coefficient("5895288390105051")*C
- - Coefficient("3643488594434202")*D
- >= Coefficient("-19077553996100104"));
+ + Coefficient("5895288390105051")*C
+ - Coefficient("3643488594434202")*D
+ >= Coefficient("-19077553996100104"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("5895288421630249")*C
- + Coefficient("3643488619204000")*D
- >= Coefficient("-19077554088423896"));
+ - Coefficient("5895288421630249")*C
+ + Coefficient("3643488619204000")*D
+ >= Coefficient("-19077554088423896"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("11790576865778496")*C
- - Coefficient("7286977247415199")*D
- >= Coefficient("-38155108244401792"));
+ - Coefficient("11790576865778496")*C
+ - Coefficient("7286977247415199")*D
+ >= Coefficient("-38155108244401792"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("7286977247415199")*B
- + Coefficient("11790576888296494")*D
- >= Coefficient("-38155108307452184"));
+ - Coefficient("7286977247415199")*B
+ + Coefficient("11790576888296494")*D
+ >= Coefficient("-38155108307452184"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("3643488639470198")*B
- - Coefficient("5895288464414445")*D
- >= Coefficient("-19077554210021088"));
+ - Coefficient("3643488639470198")*B
+ - Coefficient("5895288464414445")*D
+ >= Coefficient("-19077554210021088"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("5895288428385648")*B
- + Coefficient("3643488630462999")*C
- >= Coefficient("-19077554131208092"));
+ - Coefficient("5895288428385648")*B
+ + Coefficient("3643488630462999")*C
+ >= Coefficient("-19077554131208092"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("11790576843260498")*B
- - Coefficient("7286977224897201")*C
- >= Coefficient("-38155108163336992"));
+ - Coefficient("11790576843260498")*B
+ - Coefficient("7286977224897201")*C
+ >= Coefficient("-38155108163336992"));
cs.insert(Coefficient("1125899906842624")*B
- >= Coefficient("-2947644227703623"));
+ >= Coefficient("-2947644227703623"));
cs.insert(Coefficient("5895288459910846")*B
- + Coefficient("2251799813685248")*C
- + Coefficient("3643488630462999")*D
- >= Coefficient("-19077554198762088"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("3643488630462999")*D
+ >= Coefficient("-19077554198762088"));
cs.insert(Coefficient("5895288457659046")*B
- + Coefficient("2251799813685248")*C
- - Coefficient("3643488628211199")*D
- >= Coefficient("-19077554189754888"));
+ + Coefficient("2251799813685248")*C
+ - Coefficient("3643488628211199")*D
+ >= Coefficient("-19077554189754888"));
cs.insert(Coefficient("11790576915318092")*B
- - Coefficient("4503599627370496")*C
- + Coefficient("7286977269933197")*D
- >= Coefficient("-38155108393020576"));
+ - Coefficient("4503599627370496")*C
+ + Coefficient("7286977269933197")*D
+ >= Coefficient("-38155108393020576"));
cs.insert(Coefficient("5895288457659046")*B
- - Coefficient("2251799813685248")*C
- - Coefficient("3643488632714799")*D
- >= Coefficient("-19077554187503088"));
+ - Coefficient("2251799813685248")*C
+ - Coefficient("3643488632714799")*D
+ >= Coefficient("-19077554187503088"));
cs.insert(Coefficient("7286977292451195")*B
- + Coefficient("11790576919821692")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108433552976"));
+ + Coefficient("11790576919821692")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108433552976"));
cs.insert(Coefficient("3643488664239996")*B
- + Coefficient("5895288486932443")*C
- - Coefficient("2251799813685248")*D
- >= Coefficient("-19077554304596680"));
+ + Coefficient("5895288486932443")*C
+ - Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554304596680"));
cs.insert(Coefficient("3643488643973798")*B
- - Coefficient("5895288446400047")*C
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077554180747688"));
+ - Coefficient("5895288446400047")*C
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554180747688"));
cs.insert(Coefficient("7286977314969193")*B
- - Coefficient("11790576937836090")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108510114168"));
+ - Coefficient("11790576937836090")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108510114168"));
cs.insert(Coefficient("4503599627370496")*B
- + Coefficient("7286977247415199")*C
- + Coefficient("11790576883792894")*D
- >= Coefficient("-38155108289437784"));
+ + Coefficient("7286977247415199")*C
+ + Coefficient("11790576883792894")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("4503599627370496")*B
- + Coefficient("7286977251918799")*C
- - Coefficient("11790576883792894")*D
- >= Coefficient("-38155108280430584"));
+ + Coefficient("7286977251918799")*C
+ - Coefficient("11790576883792894")*D
+ >= Coefficient("-38155108280430584"));
cs.insert(Coefficient("4503599627370496")*B
- - Coefficient("7286977229400801")*C
- + Coefficient("11790576852267696")*D
- >= Coefficient("-38155108181351392"));
+ - Coefficient("7286977229400801")*C
+ + Coefficient("11790576852267696")*D
+ >= Coefficient("-38155108181351392"));
cs.insert(Coefficient("1125899906842624")*D
- >= Coefficient("-2947644225451823"));
+ >= Coefficient("-2947644225451823"));
cs.insert(Coefficient("4503599627370496")*B
- - Coefficient("7286977229400801")*C
- - Coefficient("11790576852267696")*D
- >= Coefficient("-38155108167840592"));
+ - Coefficient("7286977229400801")*C
+ - Coefficient("11790576852267696")*D
+ >= Coefficient("-38155108167840592"));
cs.insert(Coefficient("-2251799813685248")*D
- >= Coefficient("-5895288448651847"));
+ >= Coefficient("-5895288448651847"));
cs.insert(Coefficient("2251799813685248")*C
- >= Coefficient("-5895288446400047"));
+ >= Coefficient("-5895288446400047"));
cs.insert(Coefficient("-2251799813685248")*C
- >= Coefficient("-5895288444148247"));
+ >= Coefficient("-5895288444148247"));
cs.insert(Coefficient("-1125899906842624")*B
- + Coefficient("1821744321986899")*C
- + Coefficient("2947644226577723")*D
- >= Coefficient("-9538777088122044"));
+ + Coefficient("1821744321986899")*C
+ + Coefficient("2947644226577723")*D
+ >= Coefficient("-9538777088122044"));
cs.insert(Coefficient("-3643488607945001")*B
- + Coefficient("5895288414874849")*C
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077554059150500"));
+ + Coefficient("5895288414874849")*C
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554059150500"));
cs.insert(Coefficient("-4503599627370496")*B
- + Coefficient("7286977292451195")*C
- - Coefficient("11790576906310892")*D
- >= Coefficient("-38155108343480984"));
+ + Coefficient("7286977292451195")*C
+ - Coefficient("11790576906310892")*D
+ >= Coefficient("-38155108343480984"));
cs.insert(Coefficient("-7286977220393601")*B
- + Coefficient("11790576829749698")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108086775800"));
+ + Coefficient("11790576829749698")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108086775800"));
cs.insert(Coefficient("-4503599627370496")*B
- - Coefficient("7286977274436797")*C
- + Coefficient("11790576901807292")*D
- >= Coefficient("-38155108325466584"));
+ - Coefficient("7286977274436797")*C
+ + Coefficient("11790576901807292")*D
+ >= Coefficient("-38155108325466584"));
cs.insert(Coefficient("-3643488605693201")*B
- - Coefficient("5895288414874849")*C
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077554059150500"));
+ - Coefficient("5895288414874849")*C
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554059150500"));
cs.insert(Coefficient("-1125899906842624")*B
- - Coefficient("1821744319735099")*C
- - Coefficient("2947644225451823")*D
- >= Coefficient("-9538777079114846"));
+ - Coefficient("1821744319735099")*C
+ - Coefficient("2947644225451823")*D
+ >= Coefficient("-9538777079114846"));
cs.insert(Coefficient("-7286977220393601")*B
- - Coefficient("11790576834253298")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108113797400"));
+ - Coefficient("11790576834253298")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108113797400"));
cs.insert(Coefficient("-5895288462162645")*B
- + Coefficient("2251799813685248")*C
- + Coefficient("3643488639470198")*D
- >= Coefficient("-19077554144718892"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("3643488639470198")*D
+ >= Coefficient("-19077554144718892"));
cs.insert(Coefficient("-11790576924325290")*B
- - Coefficient("4503599627370496")*C
- + Coefficient("7286977292451195")*D
- >= Coefficient("-38155108320962984"));
+ - Coefficient("4503599627370496")*C
+ + Coefficient("7286977292451195")*D
+ >= Coefficient("-38155108320962984"));
cs.insert(Coefficient("-5895288468918045")*B
- + Coefficient("2251799813685248")*C
- - Coefficient("3643488641721998")*D
- >= Coefficient("-19077554160481492"));
+ + Coefficient("2251799813685248")*C
+ - Coefficient("3643488641721998")*D
+ >= Coefficient("-19077554160481492"));
cs.insert(Coefficient("-11790576928828890")*B
- - Coefficient("4503599627370496")*C
- - Coefficient("7286977292451195")*D
- >= Coefficient("-38155108329970184"));
+ - Coefficient("4503599627370496")*C
+ - Coefficient("7286977292451195")*D
+ >= Coefficient("-38155108329970184"));
cs.insert(Coefficient("-281474976710656")*B
- >= Coefficient("-736911053829681"));
+ >= Coefficient("-736911053829681"));
cs.insert(Coefficient("-4503599627370496")*A
- + Coefficient("11790576658612912")*B
- + Coefficient("7286977125818009")*C
- >= Coefficient("-38155107627408640"));
+ + Coefficient("11790576658612912")*B
+ + Coefficient("7286977125818009")*C
+ >= Coefficient("-38155107627408640"));
cs.insert(Coefficient("-2251799813685248")*A
- + Coefficient("5895288336061856")*B
- - Coefficient("3643488560657205")*C
- >= Coefficient("-19077553829466920"));
+ + Coefficient("5895288336061856")*B
+ - Coefficient("3643488560657205")*C
+ >= Coefficient("-19077553829466920"));
cs.insert(Coefficient("-2251799813685248")*A
- + Coefficient("3643488535887407")*B
- + Coefficient("5895288288774060")*D
- >= Coefficient("-19077553683099932"));
+ + Coefficient("3643488535887407")*B
+ + Coefficient("5895288288774060")*D
+ >= Coefficient("-19077553683099932"));
cs.insert(Coefficient("-7286977274436797")*A
- + Coefficient("11790576766699304")*B
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108032732608"));
+ + Coefficient("11790576766699304")*B
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108032732608"));
cs.insert(Coefficient("-4503599627370496")*A
- + Coefficient("7286977098796411")*B
- - Coefficient("11790576609073318")*D
- >= Coefficient("-38155107483293448"));
+ + Coefficient("7286977098796411")*B
+ - Coefficient("11790576609073318")*D
+ >= Coefficient("-38155107483293448"));
cs.insert(Coefficient("-7286977301458395")*A
- + Coefficient("11790576735174106")*B
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155107983193008"));
+ + Coefficient("11790576735174106")*B
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155107983193008"));
cs.insert(Coefficient("-4503599627370496")*A
- + Coefficient("11790576708152508")*C
- + Coefficient("7286977148336007")*D
- >= Coefficient("-38155107771523824"));
+ + Coefficient("11790576708152508")*C
+ + Coefficient("7286977148336007")*D
+ >= Coefficient("-38155107771523824"));
cs.insert(Coefficient("-281474976710656")*A
- + Coefficient("281474976710656")*B
- + Coefficient("281474976710656")*C
- + Coefficient("281474976710656")*D
- >= Coefficient("-1473822119481311"));
+ + Coefficient("281474976710656")*B
+ + Coefficient("281474976710656")*C
+ + Coefficient("281474976710656")*D
+ >= Coefficient("-1473822119481311"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("2947644178164027")*C
- - Coefficient("1821744285958102")*D
- >= Coefficient("-9538776941755056"));
+ + Coefficient("2947644178164027")*C
+ - Coefficient("1821744285958102")*D
+ >= Coefficient("-9538776941755056"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("1125899906842624")*B
- + Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= Coefficient("-5895288471169845"));
+ + Coefficient("1125899906842624")*B
+ + Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288471169845"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("11790576856771296")*C
- + Coefficient("7286977247415199")*D
- >= Coefficient("-38155108221883792"));
+ - Coefficient("11790576856771296")*C
+ + Coefficient("7286977247415199")*D
+ >= Coefficient("-38155108221883792"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- + Coefficient("1125899906842624")*D
- >= Coefficient("-5895288471169845"));
+ + Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ + Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288471169845"));
cs.insert(Coefficient("-140737488355328")*A
- - Coefficient("368455526774103")*C
- - Coefficient("227718038700250")*D
- >= Coefficient("-1192347131793131"));
+ - Coefficient("368455526774103")*C
+ - Coefficient("227718038700250")*D
+ >= Coefficient("-1192347131793131"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= Coefficient("-5895288464414445"));
+ + Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288464414445"));
cs.insert(Coefficient("-3643488643973798")*A
- + Coefficient("2251799813685248")*B
- + Coefficient("5895288441896447")*C
- >= Coefficient("-19077554158229692"));
+ + Coefficient("2251799813685248")*B
+ + Coefficient("5895288441896447")*C
+ >= Coefficient("-19077554158229692"));
cs.insert(Coefficient("-7286977296954795")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("11790576892800094")*C
- >= Coefficient("-38155108352488176"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("11790576892800094")*C
+ >= Coefficient("-38155108352488176"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("7286977269933197")*B
- + Coefficient("11790576924325290")*D
- >= Coefficient("-38155108411034976"));
+ - Coefficient("7286977269933197")*B
+ + Coefficient("11790576924325290")*D
+ >= Coefficient("-38155108411034976"));
cs.insert(Coefficient("-3643488639470198")*A
- + Coefficient("2251799813685248")*C
- + Coefficient("5895288466666245")*D
- >= Coefficient("-19077554219028288"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("5895288466666245")*D
+ >= Coefficient("-19077554219028288"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("7286977296954795")*B
- - Coefficient("11790576955850488")*D
- >= Coefficient("-38155108514617768"));
+ - Coefficient("7286977296954795")*B
+ - Coefficient("11790576955850488")*D
+ >= Coefficient("-38155108514617768"));
cs.insert(Coefficient("-7286977251918799")*A
- + Coefficient("4503599627370496")*C
- - Coefficient("11790576892800094")*D
- >= Coefficient("-38155108311955784"));
+ + Coefficient("4503599627370496")*C
+ - Coefficient("11790576892800094")*D
+ >= Coefficient("-38155108311955784"));
cs.insert(Coefficient("-3643488655232797")*A
- - Coefficient("2251799813685248")*C
- + Coefficient("5895288480177044")*D
- >= Coefficient("-19077554264064284"));
+ - Coefficient("2251799813685248")*C
+ + Coefficient("5895288480177044")*D
+ >= Coefficient("-19077554264064284"));
cs.insert(Coefficient("-1821744320860999")*A
- - Coefficient("1125899906842624")*C
- - Coefficient("2947644229955423")*D
- >= Coefficient("-9538777099381044"));
+ - Coefficient("1125899906842624")*C
+ - Coefficient("2947644229955423")*D
+ >= Coefficient("-9538777099381044"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("11790576874785696")*B
- + Coefficient("7286977269933197")*C
- >= Coefficient("-38155108302948584"));
+ - Coefficient("11790576874785696")*B
+ + Coefficient("7286977269933197")*C
+ >= Coefficient("-38155108302948584"));
cs.insert(Coefficient("-7286977274436797")*A
- - Coefficient("4503599627370496")*B
- + Coefficient("11790576937836090")*C
- >= Coefficient("-38155108424545776"));
+ - Coefficient("4503599627370496")*B
+ + Coefficient("11790576937836090")*C
+ >= Coefficient("-38155108424545776"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("11790576802728102")*B
- - Coefficient("7286977197875603")*C
- >= Coefficient("-38155108019221808"));
+ - Coefficient("11790576802728102")*B
+ - Coefficient("7286977197875603")*C
+ >= Coefficient("-38155108019221808"));
cs.insert(Coefficient("-3643488664239996")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("5895288493687843")*C
- >= Coefficient("-19077554284330480"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("5895288493687843")*C
+ >= Coefficient("-19077554284330480"));
cs.insert(Coefficient("-562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644250784571"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644250784571"));
cs.insert(Coefficient("-281474976710656")*A
- - Coefficient("281474976710656")*B
- + Coefficient("281474976710656")*C
- - Coefficient("281474976710656")*D
- >= Coefficient("-1473822131021785"));
+ - Coefficient("281474976710656")*B
+ + Coefficient("281474976710656")*C
+ - Coefficient("281474976710656")*D
+ >= Coefficient("-1473822131021785"));
cs.insert(Coefficient("-1125899906842624")*A
- - Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- + Coefficient("1125899906842624")*D
- >= Coefficient("-5895288464414445"));
+ - Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ + Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288464414445"));
cs.insert(Coefficient("-1125899906842624")*A
- - Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= Coefficient("-5895288468918045"));
+ - Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288468918045"));
cs.insert(Coefficient("-3643488412038417")*A
- - Coefficient("5895288318047457")*B
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077553665085532"));
+ - Coefficient("5895288318047457")*B
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077553665085532"));
cs.insert(Coefficient("-1821744199263809")*A
- - Coefficient("2947644153394229")*B
- - Coefficient("1125899906842624")*D
- >= Coefficient("-9538776813402468"));
+ - Coefficient("2947644153394229")*B
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-9538776813402468"));
cs.insert(Coefficient("-5895288378846052")*A
- + Coefficient("3643488632714799")*B
- + Coefficient("2251799813685248")*C
- >= Coefficient("-19077554023121704"));
+ + Coefficient("3643488632714799")*B
+ + Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554023121704"));
cs.insert(Coefficient("-11790576834253298")*A
- + Coefficient("7286977314969193")*B
- - Coefficient("4503599627370496")*C
- >= Coefficient("-38155108302948584"));
+ + Coefficient("7286977314969193")*B
+ - Coefficient("4503599627370496")*C
+ >= Coefficient("-38155108302948584"));
cs.insert(Coefficient("-736911041726257")*A
- + Coefficient("281474976710656")*B
- + Coefficient("455436077400500")*D
- >= Coefficient("-2384694241068264"));
+ + Coefficient("281474976710656")*B
+ + Coefficient("455436077400500")*D
+ >= Coefficient("-2384694241068264"));
cs.insert(Coefficient("-5895288347320855")*A
- + Coefficient("2251799813685248")*B
- - Coefficient("3643488616952200")*D
- >= Coefficient("-19077553951064108"));
+ + Coefficient("2251799813685248")*B
+ - Coefficient("3643488616952200")*D
+ >= Coefficient("-19077553951064108"));
cs.insert(Coefficient("-2947644201807925")*A
- + Coefficient("1821744319735099")*C
- + Coefficient("1125899906842624")*D
- >= Coefficient("-9538777048715548"));
+ + Coefficient("1821744319735099")*C
+ + Coefficient("1125899906842624")*D
+ >= Coefficient("-9538777048715548"));
cs.insert(Coefficient("-11790576820742500")*A
- + Coefficient("7286977296954795")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108248905384"));
+ + Coefficient("7286977296954795")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108248905384"));
cs.insert(Coefficient("-11790576996382886")*A
- - Coefficient("7286977251918799")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108523624968"));
+ - Coefficient("7286977251918799")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108523624968"));
cs.insert(Coefficient("-5895288507198642")*A
- - Coefficient("3643488632714799")*C
- - Coefficient("2251799813685248")*D
- >= Coefficient("-19077554291085880"));
+ - Coefficient("3643488632714799")*C
+ - Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554291085880"));
cs.insert(Coefficient("-11790577113476476")*A
- - Coefficient("4503599627370496")*B
- + Coefficient("7286977319472793")*D
- >= Coefficient("-38155108861394936"));
+ - Coefficient("4503599627370496")*B
+ + Coefficient("7286977319472793")*D
+ >= Coefficient("-38155108861394936"));
cs.insert(Coefficient("-5895288572500836")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("3643488652980997")*D
- >= Coefficient("-19077554450963668"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("3643488652980997")*D
+ >= Coefficient("-19077554450963668"));
cs.insert(Coefficient("-5895288484680644")*A
- - Coefficient("3643488607945001")*B
- + Coefficient("2251799813685248")*C
- >= Coefficient("-19077554212272888"));
+ - Coefficient("3643488607945001")*B
+ + Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554212272888"));
cs.insert(Coefficient("-2947644274991419")*A
- - Coefficient("1821744320860999")*B
- - Coefficient("1125899906842624")*C
- >= Coefficient("-9538777190578936"));
+ - Coefficient("1821744320860999")*B
+ - Coefficient("1125899906842624")*C
+ >= Coefficient("-9538777190578936"));
cs.insert(Coefficient("-2251799813685248")*A
- >= Coefficient("-5895288448651847"));
+ >= Coefficient("-5895288448651847"));
// Cost function
Linear_Expression cost(10*A + 21*B + 31*C + 45*D);
@@ -815,8 +815,8 @@ test04() {
nout << "Optimizing point = ";
print_generator(pg);
pg_kr = point(17100*A + 26174*B + 2274482*C
- + 1063871*D + 388070456*E + 18627830*F + 0*H,
- 94392);
+ + 1063871*D + 388070456*E + 18627830*F + 0*H,
+ 94392);
if (pg != pg_kr)
return false;
@@ -838,485 +838,485 @@ test05() {
Variable D(3);
Constraint_System cs;
cs.insert(Coefficient("2251799813685248")*A
- >= Coefficient("-5895288448651847"));
+ >= Coefficient("-5895288448651847"));
cs.insert(Coefficient("5895288437392848")*A
- + Coefficient("3643488632714799")*B
- - Coefficient("2251799813685248")*C
- >= Coefficient("-19077554137963492"));
+ + Coefficient("3643488632714799")*B
+ - Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554137963492"));
cs.insert(Coefficient("5895288437392848")*A +
- Coefficient("3643488632714799")*B
- + Coefficient("2251799813685248")*C >=
- Coefficient("-19077554137963492"));
+ Coefficient("3643488632714799")*B
+ + Coefficient("2251799813685248")*C >=
+ Coefficient("-19077554137963492"));
cs.insert(Coefficient("11790576874785696")*A
- + Coefficient("4503599627370496")*B
- + Coefficient("7286977274436797")*D
- >= Coefficient("-38155108284934184"));
+ + Coefficient("4503599627370496")*B
+ + Coefficient("7286977274436797")*D
+ >= Coefficient("-38155108284934184"));
cs.insert(Coefficient("11790576874785696")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*D
- >= Coefficient("-38155108284934184"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("7286977274436797")*D
+ >= Coefficient("-38155108284934184"));
cs.insert(Coefficient("11790576879289294")*A
- + Coefficient("7286977274436797")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ + Coefficient("7286977274436797")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- + Coefficient("7286977274436797")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ + Coefficient("7286977274436797")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- - Coefficient("7286977274436797")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ - Coefficient("7286977274436797")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- - Coefficient("7286977274436797")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108289437784"));
+ - Coefficient("7286977274436797")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("2947644225451823")*A
- - Coefficient("1125899906842624")*B
- + Coefficient("1821744319735099")*D
- >= Coefficient("-9538777088122044"));
+ - Coefficient("1125899906842624")*B
+ + Coefficient("1821744319735099")*D
+ >= Coefficient("-9538777088122044"));
cs.insert(Coefficient("11790576892800094")*A
- - Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*D
- >= Coefficient("-38155108325466584"));
+ - Coefficient("4503599627370496")*B
+ - Coefficient("7286977274436797")*D
+ >= Coefficient("-38155108325466584"));
cs.insert(Coefficient("5895288437392848")*A
- - Coefficient("3643488630462999")*B
- + Coefficient("2251799813685248")*C
- >= Coefficient("-19077554133459892"));
+ - Coefficient("3643488630462999")*B
+ + Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554133459892"));
cs.insert(Coefficient("2947644218696424")*A
- - Coefficient("1821744320860999")*B
- - Coefficient("1125899906842624")*C
- >= Coefficient("-9538777072359446"));
+ - Coefficient("1821744320860999")*B
+ - Coefficient("1125899906842624")*C
+ >= Coefficient("-9538777072359446"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("11790576924325290")*B
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108379509776"));
+ + Coefficient("11790576924325290")*B
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108379509776"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("11790576924325290")*B
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108379509776"));
+ + Coefficient("11790576924325290")*B
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108379509776"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644226577723"));
+ + Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644226577723"));
+ + Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644225451823"));
+ + Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644225451823"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644225451823"));
+ + Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644225451823"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("4503599627370496")*B
- + Coefficient("11790576865778496")*C
- >= Coefficient("-38155108266919784"));
+ + Coefficient("4503599627370496")*B
+ + Coefficient("11790576865778496")*C
+ >= Coefficient("-38155108266919784"));
cs.insert(Coefficient("7286977251918799")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("11790576870282096")*C
- >= Coefficient("-38155108244401792"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("11790576870282096")*C
+ >= Coefficient("-38155108244401792"));
cs.insert(Coefficient("1821744320860999")*A
- + Coefficient("1125899906842624")*C
- + Coefficient("2947644226577723")*D
- >= Coefficient("-9538777093751544"));
+ + Coefficient("1125899906842624")*C
+ + Coefficient("2947644226577723")*D
+ >= Coefficient("-9538777093751544"));
cs.insert(Coefficient("1821744320860999")*A
- + Coefficient("1125899906842624")*C
- - Coefficient("2947644226577723")*
- D >= Coefficient("-9538777093751544"));
+ + Coefficient("1125899906842624")*C
+ - Coefficient("2947644226577723")*
+ D >= Coefficient("-9538777093751544"));
cs.insert(Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- + Coefficient("2947644228829523")*D
- >= Coefficient("-9538777096003344"));
+ - Coefficient("1125899906842624")*C
+ + Coefficient("2947644228829523")*D
+ >= Coefficient("-9538777096003344"));
cs.insert(Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- - Coefficient("2947644228829523")*D
- >= Coefficient("-9538777096003344"));
+ - Coefficient("1125899906842624")*C
+ - Coefficient("2947644228829523")*D
+ >= Coefficient("-9538777096003344"));
cs.insert(Coefficient("3643488664239996")*A
- - Coefficient("2251799813685248")*B
- + Coefficient("5895288468918045")*C
- >= Coefficient("-19077554257308884"));
+ - Coefficient("2251799813685248")*B
+ + Coefficient("5895288468918045")*C
+ >= Coefficient("-19077554257308884"));
cs.insert(Coefficient("3643488652980997")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("5895288468918045")*C
- >= Coefficient("-19077554232539084"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("5895288468918045")*C
+ >= Coefficient("-19077554232539084"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644226577723"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644229392473"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644229392473"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644227140673"));
+ - Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644227140673"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= Coefficient("-2947644227703623"));
+ - Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= Coefficient("-2947644227703623"));
cs.insert(Coefficient("7286977314969193")*A
- - Coefficient("11790576906310892")*B
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108447063768"));
+ - Coefficient("11790576906310892")*B
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108447063768"));
cs.insert(Coefficient("3643488655232797")*A
- - Coefficient("5895288446400047")*B
- - Coefficient("2251799813685248")*D
- >= Coefficient("-19077554203265688"));
+ - Coefficient("5895288446400047")*B
+ - Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554203265688"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576753188506")*B
- + Coefficient("7286977179861205")*C
- >= Coefficient("-38155107920142616"));
+ + Coefficient("11790576753188506")*B
+ + Coefficient("7286977179861205")*C
+ >= Coefficient("-38155107920142616"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576766699304")*B
- - Coefficient("7286977179861205")*C
- >= Coefficient("-38155107965178608"));
+ + Coefficient("11790576766699304")*B
+ - Coefficient("7286977179861205")*C
+ >= Coefficient("-38155107965178608"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("7286977157343207")*B
- + Coefficient("11790576712656108")*D
- >= Coefficient("-38155107816559824"));
+ + Coefficient("7286977157343207")*B
+ + Coefficient("11790576712656108")*D
+ >= Coefficient("-38155107816559824"));
cs.insert(Coefficient("2251799813685248")*A
- + Coefficient("3643488592182402")*B
- - Coefficient("5895288374342453")*D
- >= Coefficient("-19077553960071308"));
+ + Coefficient("3643488592182402")*B
+ - Coefficient("5895288374342453")*D
+ >= Coefficient("-19077553960071308"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576753188506")*C
- + Coefficient("7286977175357605")*D
- >= Coefficient("-38155107924646216"));
+ + Coefficient("11790576753188506")*C
+ + Coefficient("7286977175357605")*D
+ >= Coefficient("-38155107924646216"));
cs.insert(Coefficient("2251799813685248")*A
- + Coefficient("5895288390105051")*C
- - Coefficient("3643488594434202")*D
- >= Coefficient("-19077553996100104"));
+ + Coefficient("5895288390105051")*C
+ - Coefficient("3643488594434202")*D
+ >= Coefficient("-19077553996100104"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("5895288421630249")*C
- + Coefficient("3643488619204000")*D
- >= Coefficient("-19077554088423896"));
+ - Coefficient("5895288421630249")*C
+ + Coefficient("3643488619204000")*D
+ >= Coefficient("-19077554088423896"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("11790576865778496")*C
- - Coefficient("7286977247415199")*D
- >= Coefficient("-38155108244401792"));
+ - Coefficient("11790576865778496")*C
+ - Coefficient("7286977247415199")*D
+ >= Coefficient("-38155108244401792"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("7286977247415199")*B
- + Coefficient("11790576888296494")*D
- >= Coefficient("-38155108307452184"));
+ - Coefficient("7286977247415199")*B
+ + Coefficient("11790576888296494")*D
+ >= Coefficient("-38155108307452184"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("3643488639470198")*B
- - Coefficient("5895288464414445")*D
- >= Coefficient("-19077554210021088"));
+ - Coefficient("3643488639470198")*B
+ - Coefficient("5895288464414445")*D
+ >= Coefficient("-19077554210021088"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("5895288428385648")*B
- + Coefficient("3643488630462999")*C
- >= Coefficient("-19077554131208092"));
+ - Coefficient("5895288428385648")*B
+ + Coefficient("3643488630462999")*C
+ >= Coefficient("-19077554131208092"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("11790576843260498")*B
- - Coefficient("7286977224897201")*C
- >= Coefficient("-38155108163336992"));
+ - Coefficient("11790576843260498")*B
+ - Coefficient("7286977224897201")*C
+ >= Coefficient("-38155108163336992"));
cs.insert(Coefficient("1125899906842624")*B
- >= Coefficient("-2947644227703623"));
+ >= Coefficient("-2947644227703623"));
cs.insert(Coefficient("5895288459910846")*B
- + Coefficient("2251799813685248")*C
- + Coefficient("3643488630462999")*D
- >= Coefficient("-19077554198762088"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("3643488630462999")*D
+ >= Coefficient("-19077554198762088"));
cs.insert(Coefficient("5895288457659046")*B
- + Coefficient("2251799813685248")*C
- - Coefficient("3643488628211199")*D
- >= Coefficient("-19077554189754888"));
+ + Coefficient("2251799813685248")*C
+ - Coefficient("3643488628211199")*D
+ >= Coefficient("-19077554189754888"));
cs.insert(Coefficient("11790576915318092")*B
- - Coefficient("4503599627370496")*C
- + Coefficient("7286977269933197")*D
- >= Coefficient("-38155108393020576"));
+ - Coefficient("4503599627370496")*C
+ + Coefficient("7286977269933197")*D
+ >= Coefficient("-38155108393020576"));
cs.insert(Coefficient("5895288457659046")*B
- - Coefficient("2251799813685248")*C
- - Coefficient("3643488632714799")*D
- >= Coefficient("-19077554187503088"));
+ - Coefficient("2251799813685248")*C
+ - Coefficient("3643488632714799")*D
+ >= Coefficient("-19077554187503088"));
cs.insert(Coefficient("7286977292451195")*B
- + Coefficient("11790576919821692")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108433552976"));
+ + Coefficient("11790576919821692")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108433552976"));
cs.insert(Coefficient("3643488664239996")*B
- + Coefficient("5895288486932443")*C
- - Coefficient("2251799813685248")*D
- >= Coefficient("-19077554304596680"));
+ + Coefficient("5895288486932443")*C
+ - Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554304596680"));
cs.insert(Coefficient("3643488643973798")*B
- - Coefficient("5895288446400047")*C
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077554180747688"));
+ - Coefficient("5895288446400047")*C
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554180747688"));
cs.insert(Coefficient("7286977314969193")*B
- - Coefficient("11790576937836090")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108510114168"));
+ - Coefficient("11790576937836090")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108510114168"));
cs.insert(Coefficient("4503599627370496")*B
- + Coefficient("7286977247415199")*C
- + Coefficient("11790576883792894")*D
- >= Coefficient("-38155108289437784"));
+ + Coefficient("7286977247415199")*C
+ + Coefficient("11790576883792894")*D
+ >= Coefficient("-38155108289437784"));
cs.insert(Coefficient("4503599627370496")*B
- + Coefficient("7286977251918799")*C
- - Coefficient("11790576883792894")*D
- >= Coefficient("-38155108280430584"));
+ + Coefficient("7286977251918799")*C
+ - Coefficient("11790576883792894")*D
+ >= Coefficient("-38155108280430584"));
cs.insert(Coefficient("4503599627370496")*B
- - Coefficient("7286977229400801")*C
- + Coefficient("11790576852267696")*D
- >= Coefficient("-38155108181351392"));
+ - Coefficient("7286977229400801")*C
+ + Coefficient("11790576852267696")*D
+ >= Coefficient("-38155108181351392"));
cs.insert(Coefficient("1125899906842624")*D
- >= Coefficient("-2947644225451823"));
+ >= Coefficient("-2947644225451823"));
cs.insert(Coefficient("4503599627370496")*B
- - Coefficient("7286977229400801")*C
- - Coefficient("11790576852267696")*D
- >= Coefficient("-38155108167840592"));
+ - Coefficient("7286977229400801")*C
+ - Coefficient("11790576852267696")*D
+ >= Coefficient("-38155108167840592"));
cs.insert(Coefficient("-2251799813685248")*D
- >= Coefficient("-5895288448651847"));
+ >= Coefficient("-5895288448651847"));
cs.insert(Coefficient("2251799813685248")*C
- >= Coefficient("-5895288446400047"));
+ >= Coefficient("-5895288446400047"));
cs.insert(Coefficient("-2251799813685248")*C
- >= Coefficient("-5895288444148247"));
+ >= Coefficient("-5895288444148247"));
cs.insert(Coefficient("-1125899906842624")*B
- + Coefficient("1821744321986899")*C
- + Coefficient("2947644226577723")*D
- >= Coefficient("-9538777088122044"));
+ + Coefficient("1821744321986899")*C
+ + Coefficient("2947644226577723")*D
+ >= Coefficient("-9538777088122044"));
cs.insert(Coefficient("-3643488607945001")*B
- + Coefficient("5895288414874849")*C
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077554059150500"));
+ + Coefficient("5895288414874849")*C
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554059150500"));
cs.insert(Coefficient("-4503599627370496")*B
- + Coefficient("7286977292451195")*C
- - Coefficient("11790576906310892")*D
- >= Coefficient("-38155108343480984"));
+ + Coefficient("7286977292451195")*C
+ - Coefficient("11790576906310892")*D
+ >= Coefficient("-38155108343480984"));
cs.insert(Coefficient("-7286977220393601")*B
- + Coefficient("11790576829749698")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108086775800"));
+ + Coefficient("11790576829749698")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108086775800"));
cs.insert(Coefficient("-4503599627370496")*B
- - Coefficient("7286977274436797")*C
- + Coefficient("11790576901807292")*D
- >= Coefficient("-38155108325466584"));
+ - Coefficient("7286977274436797")*C
+ + Coefficient("11790576901807292")*D
+ >= Coefficient("-38155108325466584"));
cs.insert(Coefficient("-3643488605693201")*B
- - Coefficient("5895288414874849")*C
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077554059150500"));
+ - Coefficient("5895288414874849")*C
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554059150500"));
cs.insert(Coefficient("-1125899906842624")*B
- - Coefficient("1821744319735099")*C
- - Coefficient("2947644225451823")*D
- >= Coefficient("-9538777079114846"));
+ - Coefficient("1821744319735099")*C
+ - Coefficient("2947644225451823")*D
+ >= Coefficient("-9538777079114846"));
cs.insert(Coefficient("-7286977220393601")*B
- - Coefficient("11790576834253298")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108113797400"));
+ - Coefficient("11790576834253298")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108113797400"));
cs.insert(Coefficient("-5895288462162645")*B
- + Coefficient("2251799813685248")*C
- + Coefficient("3643488639470198")*D
- >= Coefficient("-19077554144718892"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("3643488639470198")*D
+ >= Coefficient("-19077554144718892"));
cs.insert(Coefficient("-11790576924325290")*B
- - Coefficient("4503599627370496")*C
- + Coefficient("7286977292451195")*D
- >= Coefficient("-38155108320962984"));
+ - Coefficient("4503599627370496")*C
+ + Coefficient("7286977292451195")*D
+ >= Coefficient("-38155108320962984"));
cs.insert(Coefficient("-5895288468918045")*B
- + Coefficient("2251799813685248")*C
- - Coefficient("3643488641721998")*D
- >= Coefficient("-19077554160481492"));
+ + Coefficient("2251799813685248")*C
+ - Coefficient("3643488641721998")*D
+ >= Coefficient("-19077554160481492"));
cs.insert(Coefficient("-11790576928828890")*B
- - Coefficient("4503599627370496")*C
- - Coefficient("7286977292451195")*D
- >= Coefficient("-38155108329970184"));
+ - Coefficient("4503599627370496")*C
+ - Coefficient("7286977292451195")*D
+ >= Coefficient("-38155108329970184"));
cs.insert(Coefficient("-281474976710656")*B
- >= Coefficient("-736911053829681"));
+ >= Coefficient("-736911053829681"));
cs.insert(Coefficient("-4503599627370496")*A
- + Coefficient("11790576658612912")*B
- + Coefficient("7286977125818009")*C
- >= Coefficient("-38155107627408640"));
+ + Coefficient("11790576658612912")*B
+ + Coefficient("7286977125818009")*C
+ >= Coefficient("-38155107627408640"));
cs.insert(Coefficient("-2251799813685248")*A
- + Coefficient("5895288336061856")*B
- - Coefficient("3643488560657205")*C
- >= Coefficient("-19077553829466920"));
+ + Coefficient("5895288336061856")*B
+ - Coefficient("3643488560657205")*C
+ >= Coefficient("-19077553829466920"));
cs.insert(Coefficient("-2251799813685248")*A
- + Coefficient("3643488535887407")*B
- + Coefficient("5895288288774060")*D
- >= Coefficient("-19077553683099932"));
+ + Coefficient("3643488535887407")*B
+ + Coefficient("5895288288774060")*D
+ >= Coefficient("-19077553683099932"));
cs.insert(Coefficient("-7286977274436797")*A
- + Coefficient("11790576766699304")*B
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108032732608"));
+ + Coefficient("11790576766699304")*B
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108032732608"));
cs.insert(Coefficient("-4503599627370496")*A
- + Coefficient("7286977098796411")*B
- - Coefficient("11790576609073318")*D
- >= Coefficient("-38155107483293448"));
+ + Coefficient("7286977098796411")*B
+ - Coefficient("11790576609073318")*D
+ >= Coefficient("-38155107483293448"));
cs.insert(Coefficient("-7286977301458395")*A
- + Coefficient("11790576735174106")*B
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155107983193008"));
+ + Coefficient("11790576735174106")*B
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155107983193008"));
cs.insert(Coefficient("-4503599627370496")*A
- + Coefficient("11790576708152508")*C
- + Coefficient("7286977148336007")*D
- >= Coefficient("-38155107771523824"));
+ + Coefficient("11790576708152508")*C
+ + Coefficient("7286977148336007")*D
+ >= Coefficient("-38155107771523824"));
cs.insert(Coefficient("-281474976710656")*A
- + Coefficient("281474976710656")*B
- + Coefficient("281474976710656")*C
- + Coefficient("281474976710656")*D
- >= Coefficient("-1473822119481311"));
+ + Coefficient("281474976710656")*B
+ + Coefficient("281474976710656")*C
+ + Coefficient("281474976710656")*D
+ >= Coefficient("-1473822119481311"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("2947644178164027")*C
- - Coefficient("1821744285958102")*D
- >= Coefficient("-9538776941755056"));
+ + Coefficient("2947644178164027")*C
+ - Coefficient("1821744285958102")*D
+ >= Coefficient("-9538776941755056"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("1125899906842624")*B
- + Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= Coefficient("-5895288471169845"));
+ + Coefficient("1125899906842624")*B
+ + Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288471169845"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("11790576856771296")*C
- + Coefficient("7286977247415199")*D
- >= Coefficient("-38155108221883792"));
+ - Coefficient("11790576856771296")*C
+ + Coefficient("7286977247415199")*D
+ >= Coefficient("-38155108221883792"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- + Coefficient("1125899906842624")*D
- >= Coefficient("-5895288471169845"));
+ + Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ + Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288471169845"));
cs.insert(Coefficient("-140737488355328")*A
- - Coefficient("368455526774103")*C
- - Coefficient("227718038700250")*D
- >= Coefficient("-1192347131793131"));
+ - Coefficient("368455526774103")*C
+ - Coefficient("227718038700250")*D
+ >= Coefficient("-1192347131793131"));
cs.insert(Coefficient("-1125899906842624")*A
- + Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= Coefficient("-5895288464414445"));
+ + Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288464414445"));
cs.insert(Coefficient("-3643488643973798")*A
- + Coefficient("2251799813685248")*B
- + Coefficient("5895288441896447")*C
- >= Coefficient("-19077554158229692"));
+ + Coefficient("2251799813685248")*B
+ + Coefficient("5895288441896447")*C
+ >= Coefficient("-19077554158229692"));
cs.insert(Coefficient("-7286977296954795")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("11790576892800094")*C
- >= Coefficient("-38155108352488176"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("11790576892800094")*C
+ >= Coefficient("-38155108352488176"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("7286977269933197")*B
- + Coefficient("11790576924325290")*D
- >= Coefficient("-38155108411034976"));
+ - Coefficient("7286977269933197")*B
+ + Coefficient("11790576924325290")*D
+ >= Coefficient("-38155108411034976"));
cs.insert(Coefficient("-3643488639470198")*A
- + Coefficient("2251799813685248")*C
- + Coefficient("5895288466666245")*D
- >= Coefficient("-19077554219028288"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("5895288466666245")*D
+ >= Coefficient("-19077554219028288"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("7286977296954795")*B
- - Coefficient("11790576955850488")*D
- >= Coefficient("-38155108514617768"));
+ - Coefficient("7286977296954795")*B
+ - Coefficient("11790576955850488")*D
+ >= Coefficient("-38155108514617768"));
cs.insert(Coefficient("-7286977251918799")*A
- + Coefficient("4503599627370496")*C
- - Coefficient("11790576892800094")*D
- >= Coefficient("-38155108311955784"));
+ + Coefficient("4503599627370496")*C
+ - Coefficient("11790576892800094")*D
+ >= Coefficient("-38155108311955784"));
cs.insert(Coefficient("-3643488655232797")*A
- - Coefficient("2251799813685248")*C
- + Coefficient("5895288480177044")*D
- >= Coefficient("-19077554264064284"));
+ - Coefficient("2251799813685248")*C
+ + Coefficient("5895288480177044")*D
+ >= Coefficient("-19077554264064284"));
cs.insert(Coefficient("-1821744320860999")*A
- - Coefficient("1125899906842624")*C
- - Coefficient("2947644229955423")*D
- >= Coefficient("-9538777099381044"));
+ - Coefficient("1125899906842624")*C
+ - Coefficient("2947644229955423")*D
+ >= Coefficient("-9538777099381044"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("11790576874785696")*B
- + Coefficient("7286977269933197")*C
- >= Coefficient("-38155108302948584"));
+ - Coefficient("11790576874785696")*B
+ + Coefficient("7286977269933197")*C
+ >= Coefficient("-38155108302948584"));
cs.insert(Coefficient("-7286977274436797")*A
- - Coefficient("4503599627370496")*B
- + Coefficient("11790576937836090")*C
- >= Coefficient("-38155108424545776"));
+ - Coefficient("4503599627370496")*B
+ + Coefficient("11790576937836090")*C
+ >= Coefficient("-38155108424545776"));
cs.insert(Coefficient("-4503599627370496")*A
- - Coefficient("11790576802728102")*B
- - Coefficient("7286977197875603")*C
- >= Coefficient("-38155108019221808"));
+ - Coefficient("11790576802728102")*B
+ - Coefficient("7286977197875603")*C
+ >= Coefficient("-38155108019221808"));
cs.insert(Coefficient("-3643488664239996")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("5895288493687843")*C
- >= Coefficient("-19077554284330480"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("5895288493687843")*C
+ >= Coefficient("-19077554284330480"));
cs.insert(Coefficient("-562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= Coefficient("-2947644250784571"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= Coefficient("-2947644250784571"));
cs.insert(Coefficient("-281474976710656")*A
- - Coefficient("281474976710656")*B
- + Coefficient("281474976710656")*C
- - Coefficient("281474976710656")*D
- >= Coefficient("-1473822131021785"));
+ - Coefficient("281474976710656")*B
+ + Coefficient("281474976710656")*C
+ - Coefficient("281474976710656")*D
+ >= Coefficient("-1473822131021785"));
cs.insert(Coefficient("-1125899906842624")*A
- - Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- + Coefficient("1125899906842624")*D
- >= Coefficient("-5895288464414445"));
+ - Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ + Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288464414445"));
cs.insert(Coefficient("-1125899906842624")*A
- - Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= Coefficient("-5895288468918045"));
+ - Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-5895288468918045"));
cs.insert(Coefficient("-3643488412038417")*A
- - Coefficient("5895288318047457")*B
- + Coefficient("2251799813685248")*D
- >= Coefficient("-19077553665085532"));
+ - Coefficient("5895288318047457")*B
+ + Coefficient("2251799813685248")*D
+ >= Coefficient("-19077553665085532"));
cs.insert(Coefficient("-1821744199263809")*A
- - Coefficient("2947644153394229")*B
- - Coefficient("1125899906842624")*D
- >= Coefficient("-9538776813402468"));
+ - Coefficient("2947644153394229")*B
+ - Coefficient("1125899906842624")*D
+ >= Coefficient("-9538776813402468"));
cs.insert(Coefficient("-5895288378846052")*A
- + Coefficient("3643488632714799")*B
- + Coefficient("2251799813685248")*C
- >= Coefficient("-19077554023121704"));
+ + Coefficient("3643488632714799")*B
+ + Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554023121704"));
cs.insert(Coefficient("-11790576834253298")*A
- + Coefficient("7286977314969193")*B
- - Coefficient("4503599627370496")*C
- >= Coefficient("-38155108302948584"));
+ + Coefficient("7286977314969193")*B
+ - Coefficient("4503599627370496")*C
+ >= Coefficient("-38155108302948584"));
cs.insert(Coefficient("-736911041726257")*A
- + Coefficient("281474976710656")*B
- + Coefficient("455436077400500")*D
- >= Coefficient("-2384694241068264"));
+ + Coefficient("281474976710656")*B
+ + Coefficient("455436077400500")*D
+ >= Coefficient("-2384694241068264"));
cs.insert(Coefficient("-5895288347320855")*A
- + Coefficient("2251799813685248")*B
- - Coefficient("3643488616952200")*D
- >= Coefficient("-19077553951064108"));
+ + Coefficient("2251799813685248")*B
+ - Coefficient("3643488616952200")*D
+ >= Coefficient("-19077553951064108"));
cs.insert(Coefficient("-2947644201807925")*A
- + Coefficient("1821744319735099")*C
- + Coefficient("1125899906842624")*D
- >= Coefficient("-9538777048715548"));
+ + Coefficient("1821744319735099")*C
+ + Coefficient("1125899906842624")*D
+ >= Coefficient("-9538777048715548"));
cs.insert(Coefficient("-11790576820742500")*A
- + Coefficient("7286977296954795")*C
- - Coefficient("4503599627370496")*D
- >= Coefficient("-38155108248905384"));
+ + Coefficient("7286977296954795")*C
+ - Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108248905384"));
cs.insert(Coefficient("-11790576996382886")*A
- - Coefficient("7286977251918799")*C
- + Coefficient("4503599627370496")*D
- >= Coefficient("-38155108523624968"));
+ - Coefficient("7286977251918799")*C
+ + Coefficient("4503599627370496")*D
+ >= Coefficient("-38155108523624968"));
cs.insert(Coefficient("-5895288507198642")*A
- - Coefficient("3643488632714799")*C
- - Coefficient("2251799813685248")*D
- >= Coefficient("-19077554291085880"));
+ - Coefficient("3643488632714799")*C
+ - Coefficient("2251799813685248")*D
+ >= Coefficient("-19077554291085880"));
cs.insert(Coefficient("-11790577113476476")*A
- - Coefficient("4503599627370496")*B
- + Coefficient("7286977319472793")*D
- >= Coefficient("-38155108861394936"));
+ - Coefficient("4503599627370496")*B
+ + Coefficient("7286977319472793")*D
+ >= Coefficient("-38155108861394936"));
cs.insert(Coefficient("-5895288572500836")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("3643488652980997")*D
- >= Coefficient("-19077554450963668"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("3643488652980997")*D
+ >= Coefficient("-19077554450963668"));
cs.insert(Coefficient("-5895288484680644")*A
- - Coefficient("3643488607945001")*B
- + Coefficient("2251799813685248")*C
- >= Coefficient("-19077554212272888"));
+ - Coefficient("3643488607945001")*B
+ + Coefficient("2251799813685248")*C
+ >= Coefficient("-19077554212272888"));
cs.insert(Coefficient("-2947644274991419")*A
- - Coefficient("1821744320860999")*B
- - Coefficient("1125899906842624")*C
- >= Coefficient("-9538777190578936"));
+ - Coefficient("1821744320860999")*B
+ - Coefficient("1125899906842624")*C
+ >= Coefficient("-9538777190578936"));
cs.insert(Coefficient("-2251799813685248")*A
- >= Coefficient("-5895288448651847"));
+ >= Coefficient("-5895288448651847"));
// Cost function
Linear_Expression cost(10*A + 21*B + 31*C + 45*D);
@@ -1517,7 +1517,7 @@ test08() {
if (num != num_kr || den != den_kr)
return false;
pg_kr = point(Coefficient("6651564805")*A + 196469466*B + 232165453*C + 0*D,
- Coefficient("6651564805"));
+ Coefficient("6651564805"));
nout << "Optimizing point = ";
print_generator(pg);
if (pg != pg_kr)
@@ -1667,7 +1667,7 @@ test10() {
Linear_Expression cost(-2*A - 3*B - 4*C);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), ivs, cost,
- MINIMIZATION);
+ MINIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
diff --git a/tests/MIP_Problem/mipproblem2.cc b/tests/MIP_Problem/mipproblem2.cc
index 60a07b0..73b74fa 100644
--- a/tests/MIP_Problem/mipproblem2.cc
+++ b/tests/MIP_Problem/mipproblem2.cc
@@ -1,6 +1,6 @@
/* Test the MIP_Problem class with instances that require a watchdog timer.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,7 +27,7 @@ site: http://bugseng.com/products/ppl/ . */
namespace {
class Timeout : virtual public std::exception,
- public Parma_Polyhedra_Library::Throwable {
+ public Parma_Polyhedra_Library::Throwable {
public:
const char* what() const throw() {
return "Timeout in refine1.cc";
diff --git a/tests/MIP_Problem/mipproblem3.cc b/tests/MIP_Problem/mipproblem3.cc
index f44b7ed..6b2d8a0 100644
--- a/tests/MIP_Problem/mipproblem3.cc
+++ b/tests/MIP_Problem/mipproblem3.cc
@@ -1,6 +1,6 @@
/* Test the MIP_Problem class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -44,7 +44,7 @@ test01() {
Linear_Expression cost(A - 2*B);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), ivs, cost,
- MAXIMIZATION);
+ MAXIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
@@ -72,13 +72,13 @@ test02() {
Variable B(1);
Constraint_System cs;
cs.insert(Coefficient("-3152519739159347")*A
- - Coefficient("4503599627370496")*B
- >= Coefficient("-2837267765243412480"));
+ - Coefficient("4503599627370496")*B
+ >= Coefficient("-2837267765243412480"));
cs.insert(Coefficient("-14411518807585588")*A
- - Coefficient("3602879701896397")*B
- >= Coefficient("-19455550390240542720"));
+ - Coefficient("3602879701896397")*B
+ >= Coefficient("-19455550390240542720"));
cs.insert(Coefficient("6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712")*A
- >= Coefficient("134217729"));
+ >= Coefficient("134217729"));
cs.insert(B >= 20);
cs.insert(-B >= -500);
@@ -89,10 +89,10 @@ test02() {
Linear_Expression cost(-4*A - B);
MIP_Problem mip = MIP_Problem(cs.space_dimension(),
- cs.begin(), cs.end(),
- ivs,
- cost,
- MINIMIZATION);
+ cs.begin(), cs.end(),
+ ivs,
+ cost,
+ MINIMIZATION);
Generator pg = mip.optimizing_point();
nout << "Optimizing point = ";
@@ -159,7 +159,7 @@ test05() {
Linear_Expression cost(A + B);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), ivs, cost,
- MAXIMIZATION);
+ MAXIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
@@ -189,7 +189,7 @@ test06() {
Linear_Expression cost(A + B);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), cost,
- MAXIMIZATION);
+ MAXIMIZATION);
// Disallow floating point based steepest-edge pricing, so that
// predictable overflow behavior is obtained when configured
// to use checked 8-bit integers as coefficients.
@@ -224,7 +224,7 @@ test07() {
Linear_Expression cost(10*A + 6*B);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), cost,
- MINIMIZATION);
+ MINIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
@@ -254,485 +254,485 @@ test08() {
// Feasible region.
Constraint_System cs;
cs.insert(Coefficient("2251799813685248")*A
- >= -Coefficient("5895288448651847"));
+ >= -Coefficient("5895288448651847"));
cs.insert(Coefficient("5895288437392848")*A
- + Coefficient("3643488632714799")*B
- - Coefficient("2251799813685248")*C
- >= -Coefficient("19077554137963492"));
+ + Coefficient("3643488632714799")*B
+ - Coefficient("2251799813685248")*C
+ >= -Coefficient("19077554137963492"));
cs.insert(Coefficient("5895288437392848")*A
- + Coefficient("3643488632714799")*B
- + Coefficient("2251799813685248")*C
- >= -Coefficient("19077554137963492"));
+ + Coefficient("3643488632714799")*B
+ + Coefficient("2251799813685248")*C
+ >= -Coefficient("19077554137963492"));
cs.insert(Coefficient("11790576874785696")*A
- + Coefficient("4503599627370496")*B
- + Coefficient("7286977274436797")*D
- >= -Coefficient("38155108284934184"));
+ + Coefficient("4503599627370496")*B
+ + Coefficient("7286977274436797")*D
+ >= -Coefficient("38155108284934184"));
cs.insert(Coefficient("11790576874785696")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*D
- >= -Coefficient("38155108284934184"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("7286977274436797")*D
+ >= -Coefficient("38155108284934184"));
cs.insert(Coefficient("11790576879289294")*A
- + Coefficient("7286977274436797")*C
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108289437784"));
+ + Coefficient("7286977274436797")*C
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- + Coefficient("7286977274436797")*C
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108289437784"));
+ + Coefficient("7286977274436797")*C
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- - Coefficient("7286977274436797")*C
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108289437784"));
+ - Coefficient("7286977274436797")*C
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108289437784"));
cs.insert(Coefficient("11790576879289294")*A
- - Coefficient("7286977274436797")*C
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108289437784"));
+ - Coefficient("7286977274436797")*C
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108289437784"));
cs.insert(Coefficient("2947644225451823")*A
- - Coefficient("1125899906842624")*B
- + Coefficient("1821744319735099")*D
- >= -Coefficient("9538777088122044"));
+ - Coefficient("1125899906842624")*B
+ + Coefficient("1821744319735099")*D
+ >= -Coefficient("9538777088122044"));
cs.insert(Coefficient("11790576892800094")*A
- - Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*D
- >= -Coefficient("38155108325466584"));
+ - Coefficient("4503599627370496")*B
+ - Coefficient("7286977274436797")*D
+ >= -Coefficient("38155108325466584"));
cs.insert(Coefficient("5895288437392848")*A
- - Coefficient("3643488630462999")*B
- + Coefficient("2251799813685248")*C
- >= -Coefficient("19077554133459892"));
+ - Coefficient("3643488630462999")*B
+ + Coefficient("2251799813685248")*C
+ >= -Coefficient("19077554133459892"));
cs.insert(Coefficient("2947644218696424")*A
- - Coefficient("1821744320860999")*B
- - Coefficient("1125899906842624")*C
- >= -Coefficient("9538777072359446"));
+ - Coefficient("1821744320860999")*B
+ - Coefficient("1125899906842624")*C
+ >= -Coefficient("9538777072359446"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("11790576924325290")*B
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108379509776"));
+ + Coefficient("11790576924325290")*B
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108379509776"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("11790576924325290")*B
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108379509776"));
+ + Coefficient("11790576924325290")*B
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108379509776"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= -Coefficient("2947644226577723"));
+ + Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= -Coefficient("2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= -Coefficient("2947644226577723"));
+ + Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= -Coefficient("2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= -Coefficient("2947644225451823"));
+ + Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= -Coefficient("2947644225451823"));
cs.insert(Coefficient("562949953421312")*A
- + Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= -Coefficient("2947644225451823"));
+ + Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= -Coefficient("2947644225451823"));
cs.insert(Coefficient("7286977269933197")*A
- + Coefficient("4503599627370496")*B
- + Coefficient("11790576865778496")*C
- >= -Coefficient("38155108266919784"));
+ + Coefficient("4503599627370496")*B
+ + Coefficient("11790576865778496")*C
+ >= -Coefficient("38155108266919784"));
cs.insert(Coefficient("7286977251918799")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("11790576870282096")*C
- >= -Coefficient("38155108244401792"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("11790576870282096")*C
+ >= -Coefficient("38155108244401792"));
cs.insert(Coefficient("1821744320860999")*A
- + Coefficient("1125899906842624")*C
- + Coefficient("2947644226577723")*D
- >= -Coefficient("9538777093751544"));
+ + Coefficient("1125899906842624")*C
+ + Coefficient("2947644226577723")*D
+ >= -Coefficient("9538777093751544"));
cs.insert(Coefficient("1821744320860999")*A
- + Coefficient("1125899906842624")*C
- - Coefficient("2947644226577723")*D
- >= -Coefficient("9538777093751544"));
+ + Coefficient("1125899906842624")*C
+ - Coefficient("2947644226577723")*D
+ >= -Coefficient("9538777093751544"));
cs.insert(Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- + Coefficient("2947644228829523")*D
- >= -Coefficient("9538777096003344"));
+ - Coefficient("1125899906842624")*C
+ + Coefficient("2947644228829523")*D
+ >= -Coefficient("9538777096003344"));
cs.insert(Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- - Coefficient("2947644228829523")*D
- >= -Coefficient("9538777096003344"));
+ - Coefficient("1125899906842624")*C
+ - Coefficient("2947644228829523")*D
+ >= -Coefficient("9538777096003344"));
cs.insert(Coefficient("3643488664239996")*A
- - Coefficient("2251799813685248")*B
- + Coefficient("5895288468918045")*C
- >= -Coefficient("19077554257308884"));
+ - Coefficient("2251799813685248")*B
+ + Coefficient("5895288468918045")*C
+ >= -Coefficient("19077554257308884"));
cs.insert(Coefficient("3643488652980997")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("5895288468918045")*C
- >= -Coefficient("19077554232539084"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("5895288468918045")*C
+ >= -Coefficient("19077554232539084"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= -Coefficient("2947644226577723"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= -Coefficient("2947644226577723"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= -Coefficient("2947644229392473"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= -Coefficient("2947644229392473"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= -Coefficient("2947644227140673"));
+ - Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= -Coefficient("2947644227140673"));
cs.insert(Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- - Coefficient("562949953421312")*C
- - Coefficient("562949953421312")*D
- >= -Coefficient("2947644227703623"));
+ - Coefficient("562949953421312")*B
+ - Coefficient("562949953421312")*C
+ - Coefficient("562949953421312")*D
+ >= -Coefficient("2947644227703623"));
cs.insert(Coefficient("7286977314969193")*A
- - Coefficient("11790576906310892")*B
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108447063768"));
+ - Coefficient("11790576906310892")*B
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108447063768"));
cs.insert(Coefficient("3643488655232797")*A
- - Coefficient("5895288446400047")*B
- - Coefficient("2251799813685248")*D
- >= -Coefficient("19077554203265688"));
+ - Coefficient("5895288446400047")*B
+ - Coefficient("2251799813685248")*D
+ >= -Coefficient("19077554203265688"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576753188506")*B
- + Coefficient("7286977179861205")*C
- >= -Coefficient("38155107920142616"));
+ + Coefficient("11790576753188506")*B
+ + Coefficient("7286977179861205")*C
+ >= -Coefficient("38155107920142616"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576766699304")*B
- - Coefficient("7286977179861205")*C
- >= -Coefficient("38155107965178608"));
+ + Coefficient("11790576766699304")*B
+ - Coefficient("7286977179861205")*C
+ >= -Coefficient("38155107965178608"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("7286977157343207")*B
- + Coefficient("11790576712656108")*D
- >= -Coefficient("38155107816559824"));
+ + Coefficient("7286977157343207")*B
+ + Coefficient("11790576712656108")*D
+ >= -Coefficient("38155107816559824"));
cs.insert(Coefficient("2251799813685248")*A
- + Coefficient("3643488592182402")*B
- - Coefficient("5895288374342453")*D
- >= -Coefficient("19077553960071308"));
+ + Coefficient("3643488592182402")*B
+ - Coefficient("5895288374342453")*D
+ >= -Coefficient("19077553960071308"));
cs.insert(Coefficient("4503599627370496")*A
- + Coefficient("11790576753188506")*C
- + Coefficient("7286977175357605")*D
- >= -Coefficient("38155107924646216"));
+ + Coefficient("11790576753188506")*C
+ + Coefficient("7286977175357605")*D
+ >= -Coefficient("38155107924646216"));
cs.insert(Coefficient("2251799813685248")*A
- + Coefficient("5895288390105051")*C
- - Coefficient("3643488594434202")*D
- >= -Coefficient("19077553996100104"));
+ + Coefficient("5895288390105051")*C
+ - Coefficient("3643488594434202")*D
+ >= -Coefficient("19077553996100104"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("5895288421630249")*C
- + Coefficient("3643488619204000")*D
- >= -Coefficient("19077554088423896"));
+ - Coefficient("5895288421630249")*C
+ + Coefficient("3643488619204000")*D
+ >= -Coefficient("19077554088423896"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("11790576865778496")*C
- - Coefficient("7286977247415199")*D
- >= -Coefficient("38155108244401792"));
+ - Coefficient("11790576865778496")*C
+ - Coefficient("7286977247415199")*D
+ >= -Coefficient("38155108244401792"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("7286977247415199")*B
- + Coefficient("11790576888296494")*D
- >= -Coefficient("38155108307452184"));
+ - Coefficient("7286977247415199")*B
+ + Coefficient("11790576888296494")*D
+ >= -Coefficient("38155108307452184"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("3643488639470198")*B
- - Coefficient("5895288464414445")*D
- >= -Coefficient("19077554210021088"));
+ - Coefficient("3643488639470198")*B
+ - Coefficient("5895288464414445")*D
+ >= -Coefficient("19077554210021088"));
cs.insert(Coefficient("2251799813685248")*A
- - Coefficient("5895288428385648")*B
- + Coefficient("3643488630462999")*C
- >= -Coefficient("19077554131208092"));
+ - Coefficient("5895288428385648")*B
+ + Coefficient("3643488630462999")*C
+ >= -Coefficient("19077554131208092"));
cs.insert(Coefficient("4503599627370496")*A
- - Coefficient("11790576843260498")*B
- - Coefficient("7286977224897201")*C
- >= -Coefficient("38155108163336992"));
+ - Coefficient("11790576843260498")*B
+ - Coefficient("7286977224897201")*C
+ >= -Coefficient("38155108163336992"));
cs.insert(Coefficient("1125899906842624")*B
- >= -Coefficient("2947644227703623"));
+ >= -Coefficient("2947644227703623"));
cs.insert(Coefficient("5895288459910846")*B
- + Coefficient("2251799813685248")*C
- + Coefficient("3643488630462999")*D
- >= -Coefficient("19077554198762088"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("3643488630462999")*D
+ >= -Coefficient("19077554198762088"));
cs.insert(Coefficient("5895288457659046")*B
- + Coefficient("2251799813685248")*C
- - Coefficient("3643488628211199")*D
- >= -Coefficient("19077554189754888"));
+ + Coefficient("2251799813685248")*C
+ - Coefficient("3643488628211199")*D
+ >= -Coefficient("19077554189754888"));
cs.insert(Coefficient("11790576915318092")*B
- - Coefficient("4503599627370496")*C
- + Coefficient("7286977269933197")*D
- >= -Coefficient("38155108393020576"));
+ - Coefficient("4503599627370496")*C
+ + Coefficient("7286977269933197")*D
+ >= -Coefficient("38155108393020576"));
cs.insert(Coefficient("5895288457659046")*B
- - Coefficient("2251799813685248")*C
- - Coefficient("3643488632714799")*D
- >= -Coefficient("19077554187503088"));
+ - Coefficient("2251799813685248")*C
+ - Coefficient("3643488632714799")*D
+ >= -Coefficient("19077554187503088"));
cs.insert(Coefficient("7286977292451195")*B
- + Coefficient("11790576919821692")*C
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108433552976"));
+ + Coefficient("11790576919821692")*C
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108433552976"));
cs.insert(Coefficient("3643488664239996")*B
- + Coefficient("5895288486932443")*C
- - Coefficient("2251799813685248")*D
- >= -Coefficient("19077554304596680"));
+ + Coefficient("5895288486932443")*C
+ - Coefficient("2251799813685248")*D
+ >= -Coefficient("19077554304596680"));
cs.insert(Coefficient("3643488643973798")*B
- - Coefficient("5895288446400047")*C
- + Coefficient("2251799813685248")*D
- >= -Coefficient("19077554180747688"));
+ - Coefficient("5895288446400047")*C
+ + Coefficient("2251799813685248")*D
+ >= -Coefficient("19077554180747688"));
cs.insert(Coefficient("7286977314969193")*B
- - Coefficient("11790576937836090")*C
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108510114168"));
+ - Coefficient("11790576937836090")*C
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108510114168"));
cs.insert(Coefficient("4503599627370496")*B
- + Coefficient("7286977247415199")*C
- + Coefficient("11790576883792894")*D
- >= -Coefficient("38155108289437784"));
+ + Coefficient("7286977247415199")*C
+ + Coefficient("11790576883792894")*D
+ >= -Coefficient("38155108289437784"));
cs.insert(Coefficient("4503599627370496")*B
- + Coefficient("7286977251918799")*C
- - Coefficient("11790576883792894")*D
- >= -Coefficient("38155108280430584"));
+ + Coefficient("7286977251918799")*C
+ - Coefficient("11790576883792894")*D
+ >= -Coefficient("38155108280430584"));
cs.insert(Coefficient("4503599627370496")*B
- - Coefficient("7286977229400801")*C
- + Coefficient("11790576852267696")*D
- >= -Coefficient("38155108181351392"));
+ - Coefficient("7286977229400801")*C
+ + Coefficient("11790576852267696")*D
+ >= -Coefficient("38155108181351392"));
cs.insert(Coefficient("1125899906842624")*D
- >= -Coefficient("2947644225451823"));
+ >= -Coefficient("2947644225451823"));
cs.insert(Coefficient("4503599627370496")*B
- - Coefficient("7286977229400801")*C
- - Coefficient("11790576852267696")*D
- >= -Coefficient("38155108167840592"));
+ - Coefficient("7286977229400801")*C
+ - Coefficient("11790576852267696")*D
+ >= -Coefficient("38155108167840592"));
cs.insert(-Coefficient("2251799813685248")*D
- >= -Coefficient("5895288448651847"));
+ >= -Coefficient("5895288448651847"));
cs.insert(Coefficient("2251799813685248")*C
- >= -Coefficient("5895288446400047"));
+ >= -Coefficient("5895288446400047"));
cs.insert(-Coefficient("2251799813685248")*C
- >= -Coefficient("5895288444148247"));
+ >= -Coefficient("5895288444148247"));
cs.insert(-Coefficient("1125899906842624")*B
- + Coefficient("1821744321986899")*C
- + Coefficient("2947644226577723")*D
- >= -Coefficient("9538777088122044"));
+ + Coefficient("1821744321986899")*C
+ + Coefficient("2947644226577723")*D
+ >= -Coefficient("9538777088122044"));
cs.insert(-Coefficient("3643488607945001")*B
- + Coefficient("5895288414874849")*C
- + Coefficient("2251799813685248")*D
- >= -Coefficient("19077554059150500"));
+ + Coefficient("5895288414874849")*C
+ + Coefficient("2251799813685248")*D
+ >= -Coefficient("19077554059150500"));
cs.insert(-Coefficient("4503599627370496")*B
- + Coefficient("7286977292451195")*C
- - Coefficient("11790576906310892")*D
- >= -Coefficient("38155108343480984"));
+ + Coefficient("7286977292451195")*C
+ - Coefficient("11790576906310892")*D
+ >= -Coefficient("38155108343480984"));
cs.insert(-Coefficient("7286977220393601")*B
- + Coefficient("11790576829749698")*C
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108086775800"));
+ + Coefficient("11790576829749698")*C
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108086775800"));
cs.insert(-Coefficient("4503599627370496")*B
- - Coefficient("7286977274436797")*C
- + Coefficient("11790576901807292")*D
- >= -Coefficient("38155108325466584"));
+ - Coefficient("7286977274436797")*C
+ + Coefficient("11790576901807292")*D
+ >= -Coefficient("38155108325466584"));
cs.insert(-Coefficient("3643488605693201")*B
- - Coefficient("5895288414874849")*C
- + Coefficient("2251799813685248")*D
- >= -Coefficient("19077554059150500"));
+ - Coefficient("5895288414874849")*C
+ + Coefficient("2251799813685248")*D
+ >= -Coefficient("19077554059150500"));
cs.insert(-Coefficient("1125899906842624")*B
- - Coefficient("1821744319735099")*C
- - Coefficient("2947644225451823")*D
- >= -Coefficient("9538777079114846"));
+ - Coefficient("1821744319735099")*C
+ - Coefficient("2947644225451823")*D
+ >= -Coefficient("9538777079114846"));
cs.insert(-Coefficient("7286977220393601")*B
- - Coefficient("11790576834253298")*C
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108113797400"));
+ - Coefficient("11790576834253298")*C
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108113797400"));
cs.insert(-Coefficient("5895288462162645")*B
- + Coefficient("2251799813685248")*C
- + Coefficient("3643488639470198")*D
- >= -Coefficient("19077554144718892"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("3643488639470198")*D
+ >= -Coefficient("19077554144718892"));
cs.insert(-Coefficient("11790576924325290")*B
- - Coefficient("4503599627370496")*C
- + Coefficient("7286977292451195")*D
- >= -Coefficient("38155108320962984"));
+ - Coefficient("4503599627370496")*C
+ + Coefficient("7286977292451195")*D
+ >= -Coefficient("38155108320962984"));
cs.insert(-Coefficient("5895288468918045")*B
- + Coefficient("2251799813685248")*C
- - Coefficient("3643488641721998")*D
- >= -Coefficient("19077554160481492"));
+ + Coefficient("2251799813685248")*C
+ - Coefficient("3643488641721998")*D
+ >= -Coefficient("19077554160481492"));
cs.insert(-Coefficient("11790576928828890")*B
- - Coefficient("4503599627370496")*C
- - Coefficient("7286977292451195")*D
- >= -Coefficient("38155108329970184"));
+ - Coefficient("4503599627370496")*C
+ - Coefficient("7286977292451195")*D
+ >= -Coefficient("38155108329970184"));
cs.insert(-Coefficient("281474976710656")*B
- >= -Coefficient("736911053829681"));
+ >= -Coefficient("736911053829681"));
cs.insert(-Coefficient("4503599627370496")*A
- + Coefficient("11790576658612912")*B
- + Coefficient("7286977125818009")*C
- >= -Coefficient("38155107627408640"));
+ + Coefficient("11790576658612912")*B
+ + Coefficient("7286977125818009")*C
+ >= -Coefficient("38155107627408640"));
cs.insert(-Coefficient("2251799813685248")*A
- + Coefficient("5895288336061856")*B
- - Coefficient("3643488560657205")*C
- >= -Coefficient("19077553829466920"));
+ + Coefficient("5895288336061856")*B
+ - Coefficient("3643488560657205")*C
+ >= -Coefficient("19077553829466920"));
cs.insert(-Coefficient("2251799813685248")*A
- + Coefficient("3643488535887407")*B
- + Coefficient("5895288288774060")*D
- >= -Coefficient("19077553683099932"));
+ + Coefficient("3643488535887407")*B
+ + Coefficient("5895288288774060")*D
+ >= -Coefficient("19077553683099932"));
cs.insert(-Coefficient("7286977274436797")*A
- + Coefficient("11790576766699304")*B
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108032732608"));
+ + Coefficient("11790576766699304")*B
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108032732608"));
cs.insert(-Coefficient("4503599627370496")*A
- + Coefficient("7286977098796411")*B
- - Coefficient("11790576609073318")*D
- >= -Coefficient("38155107483293448"));
+ + Coefficient("7286977098796411")*B
+ - Coefficient("11790576609073318")*D
+ >= -Coefficient("38155107483293448"));
cs.insert(-Coefficient("7286977301458395")*A
- + Coefficient("11790576735174106")*B
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155107983193008"));
+ + Coefficient("11790576735174106")*B
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155107983193008"));
cs.insert(-Coefficient("4503599627370496")*A
- + Coefficient("11790576708152508")*C
- + Coefficient("7286977148336007")*D
- >= -Coefficient("38155107771523824"));
+ + Coefficient("11790576708152508")*C
+ + Coefficient("7286977148336007")*D
+ >= -Coefficient("38155107771523824"));
cs.insert(-Coefficient("281474976710656")*A
- + Coefficient("281474976710656")*B
- + Coefficient("281474976710656")*C
- + Coefficient("281474976710656")*D
- >= -Coefficient("1473822119481311"));
+ + Coefficient("281474976710656")*B
+ + Coefficient("281474976710656")*C
+ + Coefficient("281474976710656")*D
+ >= -Coefficient("1473822119481311"));
cs.insert(-Coefficient("1125899906842624")*A
- + Coefficient("2947644178164027")*C
- - Coefficient("1821744285958102")*D
- >= -Coefficient("9538776941755056"));
+ + Coefficient("2947644178164027")*C
+ - Coefficient("1821744285958102")*D
+ >= -Coefficient("9538776941755056"));
cs.insert(-Coefficient("1125899906842624")*A
- + Coefficient("1125899906842624")*B
- + Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= -Coefficient("5895288471169845"));
+ + Coefficient("1125899906842624")*B
+ + Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= -Coefficient("5895288471169845"));
cs.insert(-Coefficient("4503599627370496")*A
- - Coefficient("11790576856771296")*C
- + Coefficient("7286977247415199")*D
- >= -Coefficient("38155108221883792"));
+ - Coefficient("11790576856771296")*C
+ + Coefficient("7286977247415199")*D
+ >= -Coefficient("38155108221883792"));
cs.insert(-Coefficient("1125899906842624")*A
- + Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- + Coefficient("1125899906842624")*D
- >= -Coefficient("5895288471169845"));
+ + Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ + Coefficient("1125899906842624")*D
+ >= -Coefficient("5895288471169845"));
cs.insert(-Coefficient("140737488355328")*A
- - Coefficient("368455526774103")*C
- - Coefficient("227718038700250")*D
- >= -Coefficient("1192347131793131"));
+ - Coefficient("368455526774103")*C
+ - Coefficient("227718038700250")*D
+ >= -Coefficient("1192347131793131"));
cs.insert(-Coefficient("1125899906842624")*A
- + Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= -Coefficient("5895288464414445"));
+ + Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= -Coefficient("5895288464414445"));
cs.insert(-Coefficient("3643488643973798")*A
- + Coefficient("2251799813685248")*B
- + Coefficient("5895288441896447")*C
- >= -Coefficient("19077554158229692"));
+ + Coefficient("2251799813685248")*B
+ + Coefficient("5895288441896447")*C
+ >= -Coefficient("19077554158229692"));
cs.insert(-Coefficient("7286977296954795")*A
- + Coefficient("4503599627370496")*B
- - Coefficient("11790576892800094")*C
- >= -Coefficient("38155108352488176"));
+ + Coefficient("4503599627370496")*B
+ - Coefficient("11790576892800094")*C
+ >= -Coefficient("38155108352488176"));
cs.insert(-Coefficient("4503599627370496")*A
- - Coefficient("7286977269933197")*B
- + Coefficient("11790576924325290")*D
- >= -Coefficient("38155108411034976"));
+ - Coefficient("7286977269933197")*B
+ + Coefficient("11790576924325290")*D
+ >= -Coefficient("38155108411034976"));
cs.insert(-Coefficient("3643488639470198")*A
- + Coefficient("2251799813685248")*C
- + Coefficient("5895288466666245")*D
- >= -Coefficient("19077554219028288"));
+ + Coefficient("2251799813685248")*C
+ + Coefficient("5895288466666245")*D
+ >= -Coefficient("19077554219028288"));
cs.insert(-Coefficient("4503599627370496")*A
- - Coefficient("7286977296954795")*B
- - Coefficient("11790576955850488")*D
- >= -Coefficient("38155108514617768"));
+ - Coefficient("7286977296954795")*B
+ - Coefficient("11790576955850488")*D
+ >= -Coefficient("38155108514617768"));
cs.insert(-Coefficient("7286977251918799")*A
- + Coefficient("4503599627370496")*C
- - Coefficient("11790576892800094")*D
- >= -Coefficient("38155108311955784"));
+ + Coefficient("4503599627370496")*C
+ - Coefficient("11790576892800094")*D
+ >= -Coefficient("38155108311955784"));
cs.insert(-Coefficient("3643488655232797")*A
- - Coefficient("2251799813685248")*C
- + Coefficient("5895288480177044")*D
- >= -Coefficient("19077554264064284"));
+ - Coefficient("2251799813685248")*C
+ + Coefficient("5895288480177044")*D
+ >= -Coefficient("19077554264064284"));
cs.insert(-Coefficient("1821744320860999")*A
- - Coefficient("1125899906842624")*C
- - Coefficient("2947644229955423")*D
- >= -Coefficient("9538777099381044"));
+ - Coefficient("1125899906842624")*C
+ - Coefficient("2947644229955423")*D
+ >= -Coefficient("9538777099381044"));
cs.insert(-Coefficient("4503599627370496")*A
- - Coefficient("11790576874785696")*B
- + Coefficient("7286977269933197")*C
- >= -Coefficient("38155108302948584"));
+ - Coefficient("11790576874785696")*B
+ + Coefficient("7286977269933197")*C
+ >= -Coefficient("38155108302948584"));
cs.insert(-Coefficient("7286977274436797")*A
- - Coefficient("4503599627370496")*B
- + Coefficient("11790576937836090")*C
- >= -Coefficient("38155108424545776"));
+ - Coefficient("4503599627370496")*B
+ + Coefficient("11790576937836090")*C
+ >= -Coefficient("38155108424545776"));
cs.insert(-Coefficient("4503599627370496")*A
- - Coefficient("11790576802728102")*B
- - Coefficient("7286977197875603")*C
- >= -Coefficient("38155108019221808"));
+ - Coefficient("11790576802728102")*B
+ - Coefficient("7286977197875603")*C
+ >= -Coefficient("38155108019221808"));
cs.insert(-Coefficient("3643488664239996")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("5895288493687843")*C
- >= -Coefficient("19077554284330480"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("5895288493687843")*C
+ >= -Coefficient("19077554284330480"));
cs.insert(-Coefficient("562949953421312")*A
- - Coefficient("562949953421312")*B
- + Coefficient("562949953421312")*C
- + Coefficient("562949953421312")*D
- >= -Coefficient("2947644250784571"));
+ - Coefficient("562949953421312")*B
+ + Coefficient("562949953421312")*C
+ + Coefficient("562949953421312")*D
+ >= -Coefficient("2947644250784571"));
cs.insert(-Coefficient("281474976710656")*A
- - Coefficient("281474976710656")*B
- + Coefficient("281474976710656")*C
- - Coefficient("281474976710656")*D
- >= -Coefficient("1473822131021785"));
+ - Coefficient("281474976710656")*B
+ + Coefficient("281474976710656")*C
+ - Coefficient("281474976710656")*D
+ >= -Coefficient("1473822131021785"));
cs.insert(-Coefficient("1125899906842624")*A
- - Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- + Coefficient("1125899906842624")*D
- >= -Coefficient("5895288464414445"));
+ - Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ + Coefficient("1125899906842624")*D
+ >= -Coefficient("5895288464414445"));
cs.insert(-Coefficient("1125899906842624")*A
- - Coefficient("1125899906842624")*B
- - Coefficient("1125899906842624")*C
- - Coefficient("1125899906842624")*D
- >= -Coefficient("5895288468918045"));
+ - Coefficient("1125899906842624")*B
+ - Coefficient("1125899906842624")*C
+ - Coefficient("1125899906842624")*D
+ >= -Coefficient("5895288468918045"));
cs.insert(-Coefficient("3643488412038417")*A
- - Coefficient("5895288318047457")*B
- + Coefficient("2251799813685248")*D
- >= -Coefficient("19077553665085532"));
+ - Coefficient("5895288318047457")*B
+ + Coefficient("2251799813685248")*D
+ >= -Coefficient("19077553665085532"));
cs.insert(-Coefficient("1821744199263809")*A
- - Coefficient("2947644153394229")*B
- - Coefficient("1125899906842624")*D
- >= -Coefficient("9538776813402468"));
+ - Coefficient("2947644153394229")*B
+ - Coefficient("1125899906842624")*D
+ >= -Coefficient("9538776813402468"));
cs.insert(-Coefficient("5895288378846052")*A
- + Coefficient("3643488632714799")*B
- + Coefficient("2251799813685248")*C
- >= -Coefficient("19077554023121704"));
+ + Coefficient("3643488632714799")*B
+ + Coefficient("2251799813685248")*C
+ >= -Coefficient("19077554023121704"));
cs.insert(-Coefficient("11790576834253298")*A
- + Coefficient("7286977314969193")*B
- - Coefficient("4503599627370496")*C
- >= -Coefficient("38155108302948584"));
+ + Coefficient("7286977314969193")*B
+ - Coefficient("4503599627370496")*C
+ >= -Coefficient("38155108302948584"));
cs.insert(-Coefficient("736911041726257")*A
- + Coefficient("281474976710656")*B
- + Coefficient("455436077400500")*D
- >= -Coefficient("2384694241068264"));
+ + Coefficient("281474976710656")*B
+ + Coefficient("455436077400500")*D
+ >= -Coefficient("2384694241068264"));
cs.insert(-Coefficient("5895288347320855")*A
- + Coefficient("2251799813685248")*B
- - Coefficient("3643488616952200")*D
- >= -Coefficient("19077553951064108"));
+ + Coefficient("2251799813685248")*B
+ - Coefficient("3643488616952200")*D
+ >= -Coefficient("19077553951064108"));
cs.insert(-Coefficient("2947644201807925")*A
- + Coefficient("1821744319735099")*C
- + Coefficient("1125899906842624")*D
- >= -Coefficient("9538777048715548"));
+ + Coefficient("1821744319735099")*C
+ + Coefficient("1125899906842624")*D
+ >= -Coefficient("9538777048715548"));
cs.insert(-Coefficient("11790576820742500")*A
- + Coefficient("7286977296954795")*C
- - Coefficient("4503599627370496")*D
- >= -Coefficient("38155108248905384"));
+ + Coefficient("7286977296954795")*C
+ - Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108248905384"));
cs.insert(-Coefficient("11790576996382886")*A
- - Coefficient("7286977251918799")*C
- + Coefficient("4503599627370496")*D
- >= -Coefficient("38155108523624968"));
+ - Coefficient("7286977251918799")*C
+ + Coefficient("4503599627370496")*D
+ >= -Coefficient("38155108523624968"));
cs.insert(-Coefficient("5895288507198642")*A
- - Coefficient("3643488632714799")*C
- - Coefficient("2251799813685248")*D
- >= -Coefficient("19077554291085880"));
+ - Coefficient("3643488632714799")*C
+ - Coefficient("2251799813685248")*D
+ >= -Coefficient("19077554291085880"));
cs.insert(-Coefficient("11790577113476476")*A
- - Coefficient("4503599627370496")*B
- + Coefficient("7286977319472793")*D
- >= -Coefficient("38155108861394936"));
+ - Coefficient("4503599627370496")*B
+ + Coefficient("7286977319472793")*D
+ >= -Coefficient("38155108861394936"));
cs.insert(-Coefficient("5895288572500836")*A
- - Coefficient("2251799813685248")*B
- - Coefficient("3643488652980997")*D
- >= -Coefficient("19077554450963668"));
+ - Coefficient("2251799813685248")*B
+ - Coefficient("3643488652980997")*D
+ >= -Coefficient("19077554450963668"));
cs.insert(-Coefficient("5895288484680644")*A
- - Coefficient("3643488607945001")*B
- + Coefficient("2251799813685248")*C
- >= -Coefficient("19077554212272888"));
+ - Coefficient("3643488607945001")*B
+ + Coefficient("2251799813685248")*C
+ >= -Coefficient("19077554212272888"));
cs.insert(-Coefficient("2947644274991419")*A
- - Coefficient("1821744320860999")*B
- - Coefficient("1125899906842624")*C
- >= -Coefficient("9538777190578936"));
+ - Coefficient("1821744320860999")*B
+ - Coefficient("1125899906842624")*C
+ >= -Coefficient("9538777190578936"));
cs.insert(-Coefficient("2251799813685248")*A
- >= -Coefficient("5895288448651847"));
+ >= -Coefficient("5895288448651847"));
// Cost function.
Linear_Expression cost(A + B + C + D);
@@ -741,7 +741,7 @@ test08() {
Variables_Set ivs(A, D);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), ivs, cost,
- MINIMIZATION);
+ MINIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
@@ -796,7 +796,7 @@ test09() {
Linear_Expression cost(12*A + 6*B + 4*C + 3*D);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), cost,
- MAXIMIZATION);
+ MAXIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
@@ -825,13 +825,13 @@ test10() {
// Feasible region.
Constraint_System cs;
cs.insert(Coefficient("-3152519739159347")*x1
- - Coefficient("4503599627370496")*x2
- >= Coefficient("-2837267765243412480"));
+ - Coefficient("4503599627370496")*x2
+ >= Coefficient("-2837267765243412480"));
cs.insert(Coefficient("-14411518807585588")*x1
- - Coefficient("3602879701896397")*x2
- >= Coefficient("-19455550390240542720"));
+ - Coefficient("3602879701896397")*x2
+ >= Coefficient("-19455550390240542720"));
cs.insert(Coefficient("25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848")*x1
- >= Coefficient("17591821432561"));
+ >= Coefficient("17591821432561"));
cs.insert(x2 >= 20);
cs.insert(-x2 >= -500);
@@ -839,7 +839,7 @@ test10() {
Linear_Expression cost(4*x1 + x2);
MIP_Problem mip(cs.space_dimension(), cs.begin(), cs.end(), cost,
- MAXIMIZATION);
+ MAXIMIZATION);
if (mip.solve() != OPTIMIZED_MIP_PROBLEM)
return false;
@@ -855,8 +855,8 @@ test10() {
nout << "Maximum value = " << num << "/" << den << endl;
if (pg != point(Coefficient("2747195772696002560")*x1
- + Coefficient("63050394783186940")*x2,
- Coefficient("3152519739159347"))
+ + Coefficient("63050394783186940")*x2,
+ Coefficient("3152519739159347"))
|| num != Coefficient("11051833485567197180")
|| den != Coefficient("3152519739159347"))
return false;
diff --git a/tests/MIP_Problem/mipproblem4.cc b/tests/MIP_Problem/mipproblem4.cc
index 9514128..ead6d5e 100644
--- a/tests/MIP_Problem/mipproblem4.cc
+++ b/tests/MIP_Problem/mipproblem4.cc
@@ -1,6 +1,6 @@
/* Test the MIP_Problem class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -34,8 +34,22 @@ test01() {
return true;
}
+bool
+test02() {
+ Variable A(0);
+ Variable B(1);
+ MIP_Problem mip(1);
+ Generator p1 = mip.optimizing_point();
+ bool ok1 = (p1 == point(0*A));
+ mip.add_space_dimensions_and_embed(1);
+ Generator p2 = mip.optimizing_point();
+ bool ok2 = (p2 == point(0*A + 0*B));
+ return ok1 && ok2;
+}
+
} // namespace
BEGIN_MAIN
DO_TEST(test01);
+ DO_TEST(test02);
END_MAIN
diff --git a/tests/Makefile.am b/tests/Makefile.am
index 77b8864..065145f 100644
--- a/tests/Makefile.am
+++ b/tests/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -52,8 +52,8 @@ libppl_tests.a \
noinst_HEADERS = \
ppl_test.hh \
-Random_Number_Generator.defs.hh \
-Random_Number_Generator.inlines.hh \
-Random_Number_Generator.types.hh
+Random_Number_Generator_defs.hh \
+Random_Number_Generator_inlines.hh \
+Random_Number_Generator_types.hh
EXTRA_DIST = valgrind_suppressions
diff --git a/tests/Makefile.in b/tests/Makefile.in
index e051b7a..214dca6 100644
--- a/tests/Makefile.in
+++ b/tests/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -59,7 +75,8 @@ build_triplet = @build@
host_triplet = @host@
subdir = tests
DIST_COMMON = README $(noinst_HEADERS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -95,14 +112,24 @@ CONFIG_CLEAN_VPATH_FILES =
ARFLAGS = cru
AM_V_AR = $(am__v_AR_ at AM_V@)
am__v_AR_ = $(am__v_AR_ at AM_DEFAULT_V@)
-am__v_AR_0 = @echo " AR " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_AR_0 = @echo " AR " $@;
+am__v_AR_1 =
libppl_tests_a_AR = $(AR) $(ARFLAGS)
libppl_tests_a_LIBADD =
am_libppl_tests_a_OBJECTS = files.$(OBJEXT) ppl_test.$(OBJEXT)
libppl_tests_a_OBJECTS = $(am_libppl_tests_a_OBJECTS)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -112,20 +139,23 @@ CXXCOMPILE = $(CXX) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=compile $(CXX) $(DEFS) \
$(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -134,17 +164,16 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_tests_a_SOURCES)
DIST_SOURCES = $(libppl_tests_a_SOURCES)
RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
@@ -154,6 +183,11 @@ RECURSIVE_TARGETS = all-recursive check-recursive dvi-recursive \
install-pdf-recursive install-ps-recursive install-recursive \
installcheck-recursive installdirs-recursive pdf-recursive \
ps-recursive uninstall-recursive
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
HEADERS = $(noinst_HEADERS)
RECURSIVE_CLEAN_TARGETS = mostlyclean-recursive clean-recursive \
distclean-recursive maintainer-clean-recursive
@@ -410,9 +444,9 @@ libppl_tests.a \
noinst_HEADERS = \
ppl_test.hh \
-Random_Number_Generator.defs.hh \
-Random_Number_Generator.inlines.hh \
-Random_Number_Generator.types.hh
+Random_Number_Generator_defs.hh \
+Random_Number_Generator_inlines.hh \
+Random_Number_Generator_types.hh
EXTRA_DIST = valgrind_suppressions
all: all-recursive
@@ -494,12 +528,12 @@ clean-libtool:
-rm -rf .libs _libs
# This directory's subdirectories are mostly independent; you can cd
-# into them and run `make' without going through this Makefile.
-# To change the values of `make' variables: instead of editing Makefiles,
-# (1) if the variable is set in `config.status', edit `config.status'
-# (which will cause the Makefiles to be regenerated when you run `make');
-# (2) otherwise, pass the desired values on the `make' command line.
-$(RECURSIVE_TARGETS):
+# into them and run 'make' without going through this Makefile.
+# To change the values of 'make' variables: instead of editing Makefiles,
+# (1) if the variable is set in 'config.status', edit 'config.status'
+# (which will cause the Makefiles to be regenerated when you run 'make');
+# (2) otherwise, pass the desired values on the 'make' command line.
+$(RECURSIVE_TARGETS) $(RECURSIVE_CLEAN_TARGETS):
@fail= failcom='exit 1'; \
for f in x $$MAKEFLAGS; do \
case $$f in \
@@ -509,7 +543,11 @@ $(RECURSIVE_TARGETS):
done; \
dot_seen=no; \
target=`echo $@ | sed s/-recursive//`; \
- list='$(SUBDIRS)'; for subdir in $$list; do \
+ case "$@" in \
+ distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
+ *) list='$(SUBDIRS)' ;; \
+ esac; \
+ for subdir in $$list; do \
echo "Making $$target in $$subdir"; \
if test "$$subdir" = "."; then \
dot_seen=yes; \
@@ -523,37 +561,6 @@ $(RECURSIVE_TARGETS):
if test "$$dot_seen" = "no"; then \
$(MAKE) $(AM_MAKEFLAGS) "$$target-am" || exit 1; \
fi; test -z "$$fail"
-
-$(RECURSIVE_CLEAN_TARGETS):
- @fail= failcom='exit 1'; \
- for f in x $$MAKEFLAGS; do \
- case $$f in \
- *=* | --[!k]*);; \
- *k*) failcom='fail=yes';; \
- esac; \
- done; \
- dot_seen=no; \
- case "$@" in \
- distclean-* | maintainer-clean-*) list='$(DIST_SUBDIRS)' ;; \
- *) list='$(SUBDIRS)' ;; \
- esac; \
- rev=''; for subdir in $$list; do \
- if test "$$subdir" = "."; then :; else \
- rev="$$subdir $$rev"; \
- fi; \
- done; \
- rev="$$rev ."; \
- target=`echo $@ | sed s/-recursive//`; \
- for subdir in $$rev; do \
- echo "Making $$target in $$subdir"; \
- if test "$$subdir" = "."; then \
- local_target="$$target-am"; \
- else \
- local_target="$$target"; \
- fi; \
- ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) $$local_target) \
- || eval $$failcom; \
- done && test -z "$$fail"
tags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) tags); \
@@ -562,6 +569,10 @@ ctags-recursive:
list='$(SUBDIRS)'; for subdir in $$list; do \
test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) ctags); \
done
+cscopelist-recursive:
+ list='$(SUBDIRS)'; for subdir in $$list; do \
+ test "$$subdir" = . || ($(am__cd) $$subdir && $(MAKE) $(AM_MAKEFLAGS) cscopelist); \
+ done
ID: $(HEADERS) $(SOURCES) $(LISP) $(TAGS_FILES)
list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
@@ -625,6 +636,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: cscopelist-recursive $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -660,13 +685,10 @@ distdir: $(DISTFILES)
done
@list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
if test "$$subdir" = .; then :; else \
- test -d "$(distdir)/$$subdir" \
- || $(MKDIR_P) "$(distdir)/$$subdir" \
- || exit 1; \
- fi; \
- done
- @list='$(DIST_SUBDIRS)'; for subdir in $$list; do \
- if test "$$subdir" = .; then :; else \
+ $(am__make_dryrun) \
+ || test -d "$(distdir)/$$subdir" \
+ || $(MKDIR_P) "$(distdir)/$$subdir" \
+ || exit 1; \
dir1=$$subdir; dir2="$(distdir)/$$subdir"; \
$(am__relativize); \
new_distdir=$$reldir; \
@@ -794,22 +816,23 @@ ps-am:
uninstall-am:
.MAKE: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) check-am \
- ctags-recursive install-am install-strip tags-recursive
+ cscopelist-recursive ctags-recursive install-am install-strip \
+ tags-recursive
.PHONY: $(RECURSIVE_CLEAN_TARGETS) $(RECURSIVE_TARGETS) CTAGS GTAGS \
all all-am check check-am clean clean-checkLIBRARIES \
- clean-generic clean-libtool ctags ctags-recursive distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-data install-data-am install-dvi \
- install-dvi-am install-exec install-exec-am install-html \
- install-html-am install-info install-info-am install-man \
- install-pdf install-pdf-am install-ps install-ps-am \
- install-strip installcheck installcheck-am installdirs \
- installdirs-am maintainer-clean maintainer-clean-generic \
- mostlyclean mostlyclean-compile mostlyclean-generic \
- mostlyclean-libtool pdf pdf-am ps ps-am tags tags-recursive \
- uninstall uninstall-am
+ clean-generic clean-libtool cscopelist cscopelist-recursive \
+ ctags ctags-recursive distclean distclean-compile \
+ distclean-generic distclean-libtool distclean-tags distdir dvi \
+ dvi-am html html-am info info-am install install-am \
+ install-data install-data-am install-dvi install-dvi-am \
+ install-exec install-exec-am install-html install-html-am \
+ install-info install-info-am install-man install-pdf \
+ install-pdf-am install-ps install-ps-am install-strip \
+ installcheck installcheck-am installdirs installdirs-am \
+ maintainer-clean maintainer-clean-generic mostlyclean \
+ mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
+ pdf pdf-am ps ps-am tags tags-recursive uninstall uninstall-am
# Tell versions [3.59,3.63) of GNU make to not export all variables.
diff --git a/tests/Octagonal_Shape/Makefile.am b/tests/Octagonal_Shape/Makefile.am
index b9648a3..1250565 100644
--- a/tests/Octagonal_Shape/Makefile.am
+++ b/tests/Octagonal_Shape/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Octagonal_Shape/Makefile.in b/tests/Octagonal_Shape/Makefile.in
index e751430..0891997 100644
--- a/tests/Octagonal_Shape/Makefile.in
+++ b/tests/Octagonal_Shape/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -96,7 +112,8 @@ check_PROGRAMS = addspacedims1$(EXEEXT) affinedimension1$(EXEEXT) \
XFAIL_TESTS =
subdir = tests/Octagonal_Shape
DIST_COMMON = $(dist_check_SCRIPTS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -138,6 +155,7 @@ addspacedims1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_affinedimension1_OBJECTS = affinedimension1.$(OBJEXT)
affinedimension1_OBJECTS = $(am_affinedimension1_OBJECTS)
affinedimension1_LDADD = $(LDADD)
@@ -592,6 +610,18 @@ writeoctagon1_LDADD = $(LDADD)
writeoctagon1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -604,20 +634,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addspacedims1_SOURCES) $(affinedimension1_SOURCES) \
$(affineimage1_SOURCES) $(affineimage2_SOURCES) \
$(affinepreimage1_SOURCES) $(affinepreimage2_SOURCES) \
@@ -698,10 +724,17 @@ DIST_SOURCES = $(addspacedims1_SOURCES) $(affinedimension1_SOURCES) \
$(unconstrain1_SOURCES) $(universe1_SOURCES) \
$(upperbound1_SOURCES) $(upperboundifexact1_SOURCES) \
$(wrap1_SOURCES) $(writeoctagon1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -1424,6 +1457,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1437,7 +1484,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -1664,8 +1711,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Octagonal_Shape/addspacedims1.cc b/tests/Octagonal_Shape/addspacedims1.cc
index 917d3cd..e002767 100644
--- a/tests/Octagonal_Shape/addspacedims1.cc
+++ b/tests/Octagonal_Shape/addspacedims1.cc
@@ -1,7 +1,7 @@
/* Test Octagonal_Shape::add_space_dimensions_and_embed() and
Octagonal_Shape::add_space_dimensions_and_project().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/affinedimension1.cc b/tests/Octagonal_Shape/affinedimension1.cc
index c092107..dc93425 100644
--- a/tests/Octagonal_Shape/affinedimension1.cc
+++ b/tests/Octagonal_Shape/affinedimension1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::affine_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/affineimage1.cc b/tests/Octagonal_Shape/affineimage1.cc
index a0a7940..4e4385a 100644
--- a/tests/Octagonal_Shape/affineimage1.cc
+++ b/tests/Octagonal_Shape/affineimage1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/affineimage2.cc b/tests/Octagonal_Shape/affineimage2.cc
index b367e06..fc413ae 100644
--- a/tests/Octagonal_Shape/affineimage2.cc
+++ b/tests/Octagonal_Shape/affineimage2.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/affinepreimage1.cc b/tests/Octagonal_Shape/affinepreimage1.cc
index 5c3b28f..5fdd4fd 100644
--- a/tests/Octagonal_Shape/affinepreimage1.cc
+++ b/tests/Octagonal_Shape/affinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/affinepreimage2.cc b/tests/Octagonal_Shape/affinepreimage2.cc
index 545799c..e058320 100644
--- a/tests/Octagonal_Shape/affinepreimage2.cc
+++ b/tests/Octagonal_Shape/affinepreimage2.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/ascii_dump_load1.cc b/tests/Octagonal_Shape/ascii_dump_load1.cc
index 77341df..46076e9 100644
--- a/tests/Octagonal_Shape/ascii_dump_load1.cc
+++ b/tests/Octagonal_Shape/ascii_dump_load1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::ascii_dump() and Octagonal_Shape::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/bhmz05widening1.cc b/tests/Octagonal_Shape/bhmz05widening1.cc
index b360aad..7400712 100644
--- a/tests/Octagonal_Shape/bhmz05widening1.cc
+++ b/tests/Octagonal_Shape/bhmz05widening1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::BHMZ05_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/bhz03widening1.cc b/tests/Octagonal_Shape/bhz03widening1.cc
index dc801fb..7eac4a7 100644
--- a/tests/Octagonal_Shape/bhz03widening1.cc
+++ b/tests/Octagonal_Shape/bhz03widening1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BHZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/bounded1.cc b/tests/Octagonal_Shape/bounded1.cc
index 76f336e..7adf68f 100644
--- a/tests/Octagonal_Shape/bounded1.cc
+++ b/tests/Octagonal_Shape/bounded1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/boundedaffineimage1.cc b/tests/Octagonal_Shape/boundedaffineimage1.cc
index f3dd792..cfa67be 100644
--- a/tests/Octagonal_Shape/boundedaffineimage1.cc
+++ b/tests/Octagonal_Shape/boundedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/boundedaffinepreimage1.cc b/tests/Octagonal_Shape/boundedaffinepreimage1.cc
index 0323db4..2b93086 100644
--- a/tests/Octagonal_Shape/boundedaffinepreimage1.cc
+++ b/tests/Octagonal_Shape/boundedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::bounded_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/bounds1.cc b/tests/Octagonal_Shape/bounds1.cc
index b2c37d4..4109060 100644
--- a/tests/Octagonal_Shape/bounds1.cc
+++ b/tests/Octagonal_Shape/bounds1.cc
@@ -1,7 +1,7 @@
/* Test OctagonalShape::bounds_from_below() and
Octagonal_Shape::bounds_from_above().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/cc76extrapolation1.cc b/tests/Octagonal_Shape/cc76extrapolation1.cc
index c05cc02..cc418a2 100644
--- a/tests/Octagonal_Shape/cc76extrapolation1.cc
+++ b/tests/Octagonal_Shape/cc76extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::CC76_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/cc76narrowing1.cc b/tests/Octagonal_Shape/cc76narrowing1.cc
index 3a2a8df..dd4087f 100644
--- a/tests/Octagonal_Shape/cc76narrowing1.cc
+++ b/tests/Octagonal_Shape/cc76narrowing1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::CC76_narrowing_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/chinainit.cc b/tests/Octagonal_Shape/chinainit.cc
index 33cd26b..f0adb75 100644
--- a/tests/Octagonal_Shape/chinainit.cc
+++ b/tests/Octagonal_Shape/chinainit.cc
@@ -1,6 +1,6 @@
/* Simulate the initialization phase of the China analyzer.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/concatenate1.cc b/tests/Octagonal_Shape/concatenate1.cc
index da6bbea..aea79aa 100644
--- a/tests/Octagonal_Shape/concatenate1.cc
+++ b/tests/Octagonal_Shape/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::concatenate_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/congruences1.cc b/tests/Octagonal_Shape/congruences1.cc
index 0a21225..e309700 100644
--- a/tests/Octagonal_Shape/congruences1.cc
+++ b/tests/Octagonal_Shape/congruences1.cc
@@ -2,7 +2,7 @@
congruences of an octagon that is defined by a system of
congruences that contains only a trivially false congruence.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/constrains1.cc b/tests/Octagonal_Shape/constrains1.cc
index d1c0437..35217a9 100644
--- a/tests/Octagonal_Shape/constrains1.cc
+++ b/tests/Octagonal_Shape/constrains1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::constrains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,16 +23,16 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#define TEST_PREDICATE_TRUE(pred) \
- if (!pred) { \
- nout << "!" #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_TRUE(pred) \
+ if (!pred) { \
+ nout << "!" #pred << endl; \
+ ok = false; \
}
-#define TEST_PREDICATE_FALSE(pred) \
- if (pred) { \
- nout << #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_FALSE(pred) \
+ if (pred) { \
+ nout << #pred << endl; \
+ ok = false; \
}
namespace {
diff --git a/tests/Octagonal_Shape/constraints1.cc b/tests/Octagonal_Shape/constraints1.cc
index 62b50e7..9c891b6 100644
--- a/tests/Octagonal_Shape/constraints1.cc
+++ b/tests/Octagonal_Shape/constraints1.cc
@@ -2,7 +2,7 @@
constraints of an octagon that is defined by a system of
constraints that contains only a trivially false constraint.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/contains1.cc b/tests/Octagonal_Shape/contains1.cc
index 649f3ea..ddc4df7 100644
--- a/tests/Octagonal_Shape/contains1.cc
+++ b/tests/Octagonal_Shape/contains1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::contains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/containsintegerpoint1.cc b/tests/Octagonal_Shape/containsintegerpoint1.cc
index dedc6e9..7e335a1 100644
--- a/tests/Octagonal_Shape/containsintegerpoint1.cc
+++ b/tests/Octagonal_Shape/containsintegerpoint1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::contains_integer_point().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/difference1.cc b/tests/Octagonal_Shape/difference1.cc
index 37737f9..f406344 100644
--- a/tests/Octagonal_Shape/difference1.cc
+++ b/tests/Octagonal_Shape/difference1.cc
@@ -2,7 +2,7 @@
contained in `oct2', the result of `oct1.difference_assign(oct2)'
is an empty octagon.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/discrete1.cc b/tests/Octagonal_Shape/discrete1.cc
index a933408..0ba31df 100644
--- a/tests/Octagonal_Shape/discrete1.cc
+++ b/tests/Octagonal_Shape/discrete1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::is_discrete().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/disjoint1.cc b/tests/Octagonal_Shape/disjoint1.cc
index 83973d3..bd28dbe 100644
--- a/tests/Octagonal_Shape/disjoint1.cc
+++ b/tests/Octagonal_Shape/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::is_disjoint_from(const Octagonal_Shape& y).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/dropsomenonintegerpoints1.cc b/tests/Octagonal_Shape/dropsomenonintegerpoints1.cc
index ae9bf5e..7a12d83 100644
--- a/tests/Octagonal_Shape/dropsomenonintegerpoints1.cc
+++ b/tests/Octagonal_Shape/dropsomenonintegerpoints1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::drop_some_non_integer_points().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/empty1.cc b/tests/Octagonal_Shape/empty1.cc
index 37ced2a..a14832e 100644
--- a/tests/Octagonal_Shape/empty1.cc
+++ b/tests/Octagonal_Shape/empty1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::is_empty() .
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/expandspacedim1.cc b/tests/Octagonal_Shape/expandspacedim1.cc
index ed2c496..125371f 100644
--- a/tests/Octagonal_Shape/expandspacedim1.cc
+++ b/tests/Octagonal_Shape/expandspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::expand_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/foldspacedims1.cc b/tests/Octagonal_Shape/foldspacedims1.cc
index 9ca5634..9816cc5 100644
--- a/tests/Octagonal_Shape/foldspacedims1.cc
+++ b/tests/Octagonal_Shape/foldspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::fold_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/frequency1.cc b/tests/Octagonal_Shape/frequency1.cc
index c97081c..2959faf 100644
--- a/tests/Octagonal_Shape/frequency1.cc
+++ b/tests/Octagonal_Shape/frequency1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::frequency().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/frombdshape1.cc b/tests/Octagonal_Shape/frombdshape1.cc
index ce15faa..71eff8b 100644
--- a/tests/Octagonal_Shape/frombdshape1.cc
+++ b/tests/Octagonal_Shape/frombdshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/frombox1.cc b/tests/Octagonal_Shape/frombox1.cc
index f0c88a9..de330f3 100644
--- a/tests/Octagonal_Shape/frombox1.cc
+++ b/tests/Octagonal_Shape/frombox1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::Octagonal_Shape(const Box<Interval>&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/fromgensys1.cc b/tests/Octagonal_Shape/fromgensys1.cc
index b8426fa..3ed4315 100644
--- a/tests/Octagonal_Shape/fromgensys1.cc
+++ b/tests/Octagonal_Shape/fromgensys1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::Octagonal_Shape(const Generator_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/fromgrid1.cc b/tests/Octagonal_Shape/fromgrid1.cc
index fddbb7f..4ca9147 100644
--- a/tests/Octagonal_Shape/fromgrid1.cc
+++ b/tests/Octagonal_Shape/fromgrid1.cc
@@ -1,7 +1,7 @@
/* Test C_Polyhedron::C_Polyhedron(const Grid&)
and NNC_Polyhedron::NNC_Polyhedron(const Grid&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/fromoctagonalshape1.cc b/tests/Octagonal_Shape/fromoctagonalshape1.cc
index 91f3f39..c9754ad 100644
--- a/tests/Octagonal_Shape/fromoctagonalshape1.cc
+++ b/tests/Octagonal_Shape/fromoctagonalshape1.cc
@@ -1,7 +1,7 @@
/* Test Octagonal_Shape copy construct, construction from other
Octagonal shapes and assignment.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/frompolyhedron1.cc b/tests/Octagonal_Shape/frompolyhedron1.cc
index db5646e..c036e5e 100644
--- a/tests/Octagonal_Shape/frompolyhedron1.cc
+++ b/tests/Octagonal_Shape/frompolyhedron1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::Octagonal_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/fromspacedim1.cc b/tests/Octagonal_Shape/fromspacedim1.cc
index 818deea..21ba78f 100644
--- a/tests/Octagonal_Shape/fromspacedim1.cc
+++ b/tests/Octagonal_Shape/fromspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::Octagonal_Shape(dimension_type, Degenerate_Element).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffineimage1.cc b/tests/Octagonal_Shape/generalizedaffineimage1.cc
index 345d99a..860b721 100644
--- a/tests/Octagonal_Shape/generalizedaffineimage1.cc
+++ b/tests/Octagonal_Shape/generalizedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffineimage2.cc b/tests/Octagonal_Shape/generalizedaffineimage2.cc
index 1417f50..5a470e1 100644
--- a/tests/Octagonal_Shape/generalizedaffineimage2.cc
+++ b/tests/Octagonal_Shape/generalizedaffineimage2.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffineimage3.cc b/tests/Octagonal_Shape/generalizedaffineimage3.cc
index 2cff451..7242b2b 100644
--- a/tests/Octagonal_Shape/generalizedaffineimage3.cc
+++ b/tests/Octagonal_Shape/generalizedaffineimage3.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffineimage4.cc b/tests/Octagonal_Shape/generalizedaffineimage4.cc
index b284b04..bb11643 100644
--- a/tests/Octagonal_Shape/generalizedaffineimage4.cc
+++ b/tests/Octagonal_Shape/generalizedaffineimage4.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffineimage5.cc b/tests/Octagonal_Shape/generalizedaffineimage5.cc
index 7335aaf..c865a08 100644
--- a/tests/Octagonal_Shape/generalizedaffineimage5.cc
+++ b/tests/Octagonal_Shape/generalizedaffineimage5.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffinepreimage1.cc b/tests/Octagonal_Shape/generalizedaffinepreimage1.cc
index 41d7244..dc3c7c1 100644
--- a/tests/Octagonal_Shape/generalizedaffinepreimage1.cc
+++ b/tests/Octagonal_Shape/generalizedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffinepreimage2.cc b/tests/Octagonal_Shape/generalizedaffinepreimage2.cc
index dc7dc0c..e9ee9f1 100644
--- a/tests/Octagonal_Shape/generalizedaffinepreimage2.cc
+++ b/tests/Octagonal_Shape/generalizedaffinepreimage2.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffinepreimage3.cc b/tests/Octagonal_Shape/generalizedaffinepreimage3.cc
index cfcadaa..410b6e9 100644
--- a/tests/Octagonal_Shape/generalizedaffinepreimage3.cc
+++ b/tests/Octagonal_Shape/generalizedaffinepreimage3.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/generalizedaffinepreimage4.cc b/tests/Octagonal_Shape/generalizedaffinepreimage4.cc
index 4caf678..0078fd1 100644
--- a/tests/Octagonal_Shape/generalizedaffinepreimage4.cc
+++ b/tests/Octagonal_Shape/generalizedaffinepreimage4.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/integerupperboundifexact1.cc b/tests/Octagonal_Shape/integerupperboundifexact1.cc
index 9bf39e3..e0c8a8f 100644
--- a/tests/Octagonal_Shape/integerupperboundifexact1.cc
+++ b/tests/Octagonal_Shape/integerupperboundifexact1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::integer_upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/intersection1.cc b/tests/Octagonal_Shape/intersection1.cc
index 8422839..57eff5e 100644
--- a/tests/Octagonal_Shape/intersection1.cc
+++ b/tests/Octagonal_Shape/intersection1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/limitedbhmz05extrapolation1.cc b/tests/Octagonal_Shape/limitedbhmz05extrapolation1.cc
index 9294b9b..a9a57b3 100644
--- a/tests/Octagonal_Shape/limitedbhmz05extrapolation1.cc
+++ b/tests/Octagonal_Shape/limitedbhmz05extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::limited_BHMZ05_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/limitedcc76extrapolation1.cc b/tests/Octagonal_Shape/limitedcc76extrapolation1.cc
index 702e04e..2880e84 100644
--- a/tests/Octagonal_Shape/limitedcc76extrapolation1.cc
+++ b/tests/Octagonal_Shape/limitedcc76extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::limited_CC76_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/mapspacedims1.cc b/tests/Octagonal_Shape/mapspacedims1.cc
index f816a0b..bb92cc1 100644
--- a/tests/Octagonal_Shape/mapspacedims1.cc
+++ b/tests/Octagonal_Shape/mapspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::map_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/max_min1.cc b/tests/Octagonal_Shape/max_min1.cc
index 8792161..a5270d4 100644
--- a/tests/Octagonal_Shape/max_min1.cc
+++ b/tests/Octagonal_Shape/max_min1.cc
@@ -1,7 +1,7 @@
/* Test Octagonal_Shape::maximize(const Linear_Expression&, ...)
and Octagonal_Shape::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/max_min2.cc b/tests/Octagonal_Shape/max_min2.cc
index b325fc3..627bf06 100644
--- a/tests/Octagonal_Shape/max_min2.cc
+++ b/tests/Octagonal_Shape/max_min2.cc
@@ -1,7 +1,7 @@
/* Test Octagonal_Shape::maximize(const Linear_Expression&, ...)
and Octagonal_Shape::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/maxspacedim1.cc b/tests/Octagonal_Shape/maxspacedim1.cc
index 6274aee..1bfc423 100644
--- a/tests/Octagonal_Shape/maxspacedim1.cc
+++ b/tests/Octagonal_Shape/maxspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::max_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/membytes1.cc b/tests/Octagonal_Shape/membytes1.cc
index 531c5ed..a6482cb 100644
--- a/tests/Octagonal_Shape/membytes1.cc
+++ b/tests/Octagonal_Shape/membytes1.cc
@@ -1,6 +1,6 @@
/* Test the total_memory_in_bytes() and external_memory_in_bytes() methods.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/minconstraints1.cc b/tests/Octagonal_Shape/minconstraints1.cc
index a0b541c..666962e 100644
--- a/tests/Octagonal_Shape/minconstraints1.cc
+++ b/tests/Octagonal_Shape/minconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape<T>::minimized_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/relatwithcons1.cc b/tests/Octagonal_Shape/relatwithcons1.cc
index 8896420..f16186d 100644
--- a/tests/Octagonal_Shape/relatwithcons1.cc
+++ b/tests/Octagonal_Shape/relatwithcons1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::relation_with(c).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/relatwithcons2.cc b/tests/Octagonal_Shape/relatwithcons2.cc
index 3f33723..286720b 100644
--- a/tests/Octagonal_Shape/relatwithcons2.cc
+++ b/tests/Octagonal_Shape/relatwithcons2.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::relation_with(c).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/relatwithcons3.cc b/tests/Octagonal_Shape/relatwithcons3.cc
index 48ef8a2..97d6e02 100644
--- a/tests/Octagonal_Shape/relatwithcons3.cc
+++ b/tests/Octagonal_Shape/relatwithcons3.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/relatwithgen1.cc b/tests/Octagonal_Shape/relatwithgen1.cc
index 9cffb4e..a3ba655 100644
--- a/tests/Octagonal_Shape/relatwithgen1.cc
+++ b/tests/Octagonal_Shape/relatwithgen1.cc
@@ -1,7 +1,7 @@
/* Test Octagonal_Shape::relation_with(g): we verify that a generator
is not subsumed by an empty octagon.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/removespacedims1.cc b/tests/Octagonal_Shape/removespacedims1.cc
index fd4fca5..2977601 100644
--- a/tests/Octagonal_Shape/removespacedims1.cc
+++ b/tests/Octagonal_Shape/removespacedims1.cc
@@ -1,6 +1,6 @@
/* Remove the higher variables from the space.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/run_tests b/tests/Octagonal_Shape/run_tests
index 2aec4dc..7f5e33b 100755
--- a/tests/Octagonal_Shape/run_tests
+++ b/tests/Octagonal_Shape/run_tests
@@ -2,7 +2,7 @@
# Run the Octagonal_Shape tests.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Octagonal_Shape/simplifyusingcontext1.cc b/tests/Octagonal_Shape/simplifyusingcontext1.cc
index acca4f3..2b8163a 100644
--- a/tests/Octagonal_Shape/simplifyusingcontext1.cc
+++ b/tests/Octagonal_Shape/simplifyusingcontext1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::simplify_using_context_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/timeelapse1.cc b/tests/Octagonal_Shape/timeelapse1.cc
index 0fd18e2..2c191f7 100644
--- a/tests/Octagonal_Shape/timeelapse1.cc
+++ b/tests/Octagonal_Shape/timeelapse1.cc
@@ -1,6 +1,6 @@
/* Test time_elapse_assign() for particular polyhedra.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/unconstrain1.cc b/tests/Octagonal_Shape/unconstrain1.cc
index 3b3b90b..57e0814 100644
--- a/tests/Octagonal_Shape/unconstrain1.cc
+++ b/tests/Octagonal_Shape/unconstrain1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::unconstrain().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/universe1.cc b/tests/Octagonal_Shape/universe1.cc
index 4946fc5..9f3ce1e 100644
--- a/tests/Octagonal_Shape/universe1.cc
+++ b/tests/Octagonal_Shape/universe1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::is_universe().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/upperbound1.cc b/tests/Octagonal_Shape/upperbound1.cc
index 531a371..d3ee77a 100644
--- a/tests/Octagonal_Shape/upperbound1.cc
+++ b/tests/Octagonal_Shape/upperbound1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::poly_hull_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/upperboundifexact1.cc b/tests/Octagonal_Shape/upperboundifexact1.cc
index d56d3a1..64d9cd7 100644
--- a/tests/Octagonal_Shape/upperboundifexact1.cc
+++ b/tests/Octagonal_Shape/upperboundifexact1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/wrap1.cc b/tests/Octagonal_Shape/wrap1.cc
index 11946f4..d31ebaa 100644
--- a/tests/Octagonal_Shape/wrap1.cc
+++ b/tests/Octagonal_Shape/wrap1.cc
@@ -1,6 +1,6 @@
/* Test Octagonal_Shape::wrap_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Octagonal_Shape/writeoctagon1.cc b/tests/Octagonal_Shape/writeoctagon1.cc
index 9f1915e..276e012 100644
--- a/tests/Octagonal_Shape/writeoctagon1.cc
+++ b/tests/Octagonal_Shape/writeoctagon1.cc
@@ -1,6 +1,6 @@
/* Test operator<<(ostream&, const Octagonal_Shape&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/PIP_Problem/Makefile.am b/tests/PIP_Problem/Makefile.am
index 8bab0f7..d64b2ea 100644
--- a/tests/PIP_Problem/Makefile.am
+++ b/tests/PIP_Problem/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/PIP_Problem/Makefile.in b/tests/PIP_Problem/Makefile.in
index e5a2100..b65ad7a 100644
--- a/tests/PIP_Problem/Makefile.in
+++ b/tests/PIP_Problem/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -62,7 +78,8 @@ TESTS = ascii_dump_load1$(EXEEXT) exceptions1$(EXEEXT) \
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1) $(am__EXEEXT_2)
subdir = tests/PIP_Problem
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -108,6 +125,7 @@ ascii_dump_load1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_exceptions1_OBJECTS = exceptions1.$(OBJEXT)
exceptions1_OBJECTS = $(am_exceptions1_OBJECTS)
exceptions1_LDADD = $(LDADD)
@@ -138,6 +156,18 @@ weightwatch1_LDADD = $(LDADD)
weightwatch1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -150,30 +180,33 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(ascii_dump_load1_SOURCES) $(exceptions1_SOURCES) \
$(pipproblem1_SOURCES) $(pipproblem2_SOURCES) \
$(pipproblem3_SOURCES) $(weightwatch1_SOURCES)
DIST_SOURCES = $(ascii_dump_load1_SOURCES) $(exceptions1_SOURCES) \
$(pipproblem1_SOURCES) $(pipproblem2_SOURCES) \
$(pipproblem3_SOURCES) $(weightwatch1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -556,6 +589,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -569,7 +616,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -793,8 +840,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/PIP_Problem/ascii_dump_load1.cc b/tests/PIP_Problem/ascii_dump_load1.cc
index 30e6fec..49cd163 100644
--- a/tests/PIP_Problem/ascii_dump_load1.cc
+++ b/tests/PIP_Problem/ascii_dump_load1.cc
@@ -1,6 +1,6 @@
/* Test PIP_Problem::ascii_dump() and PIP_Problem::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/PIP_Problem/exceptions1.cc b/tests/PIP_Problem/exceptions1.cc
index b5f9a6c..f5bcd0b 100644
--- a/tests/PIP_Problem/exceptions1.cc
+++ b/tests/PIP_Problem/exceptions1.cc
@@ -1,6 +1,6 @@
/* Test that the right exceptions are thrown in case of incorrect uses.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/PIP_Problem/pipproblem1.cc b/tests/PIP_Problem/pipproblem1.cc
index 0c2f23d..21e0f7c 100644
--- a/tests/PIP_Problem/pipproblem1.cc
+++ b/tests/PIP_Problem/pipproblem1.cc
@@ -1,6 +1,6 @@
/* Test the PIP_Problem class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/PIP_Problem/pipproblem2.cc b/tests/PIP_Problem/pipproblem2.cc
index eee0986..dcf0562 100644
--- a/tests/PIP_Problem/pipproblem2.cc
+++ b/tests/PIP_Problem/pipproblem2.cc
@@ -1,6 +1,6 @@
/* Test the PIP_Problem class
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/PIP_Problem/pipproblem3.cc b/tests/PIP_Problem/pipproblem3.cc
index fd75b32..a876364 100644
--- a/tests/PIP_Problem/pipproblem3.cc
+++ b/tests/PIP_Problem/pipproblem3.cc
@@ -1,6 +1,6 @@
/* Test the PIP_Problem class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/PIP_Problem/weightwatch1.cc b/tests/PIP_Problem/weightwatch1.cc
index 0218b12..0d65f8f 100644
--- a/tests/PIP_Problem/weightwatch1.cc
+++ b/tests/PIP_Problem/weightwatch1.cc
@@ -1,6 +1,6 @@
/* Test PIP_Problem (and MIP_Problem) with respect to deterministic timeouts.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/Makefile.am b/tests/Partially_Reduced_Product/Makefile.am
index 731141b..b803761 100644
--- a/tests/Partially_Reduced_Product/Makefile.am
+++ b/tests/Partially_Reduced_Product/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Partially_Reduced_Product/Makefile.in b/tests/Partially_Reduced_Product/Makefile.in
index 8df89f4..5144f98 100644
--- a/tests/Partially_Reduced_Product/Makefile.in
+++ b/tests/Partially_Reduced_Product/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -39,6 +38,23 @@
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -62,7 +78,8 @@ XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_3)
subdir = tests/Partially_Reduced_Product
DIST_COMMON = $(noinst_HEADERS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -128,6 +145,7 @@ addcongruences1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_affineimage1_OBJECTS = affineimage1.$(OBJEXT)
affineimage1_OBJECTS = $(am_affineimage1_OBJECTS)
affineimage1_LDADD = $(LDADD)
@@ -451,6 +469,18 @@ upperbound1_LDADD = $(LDADD)
upperbound1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -463,20 +493,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addcongruences1_SOURCES) $(affineimage1_SOURCES) \
$(asciidumpload1_SOURCES) $(bounded1_SOURCES) \
$(boundedaffineimage1_SOURCES) $(bounds1_SOURCES) \
@@ -529,11 +555,18 @@ DIST_SOURCES = $(addcongruences1_SOURCES) $(affineimage1_SOURCES) \
$(spacedims1_SOURCES) $(timeelapse1_SOURCES) \
$(topclosed1_SOURCES) $(topclosure1_SOURCES) \
$(upperbound1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
HEADERS = $(noinst_HEADERS)
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -1257,6 +1290,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1270,7 +1317,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -1494,8 +1541,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Partially_Reduced_Product/addcongruences1.cc b/tests/Partially_Reduced_Product/addcongruences1.cc
index 8f21326..f5e3372 100644
--- a/tests/Partially_Reduced_Product/addcongruences1.cc
+++ b/tests/Partially_Reduced_Product/addcongruences1.cc
@@ -1,6 +1,6 @@
/* Test Smash_Product.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/affineimage1.cc b/tests/Partially_Reduced_Product/affineimage1.cc
index c9446a1..6bbe194 100644
--- a/tests/Partially_Reduced_Product/affineimage1.cc
+++ b/tests/Partially_Reduced_Product/affineimage1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/asciidumpload1.cc b/tests/Partially_Reduced_Product/asciidumpload1.cc
index 8b06fb6..c6eee38 100644
--- a/tests/Partially_Reduced_Product/asciidumpload1.cc
+++ b/tests/Partially_Reduced_Product/asciidumpload1.cc
@@ -1,6 +1,6 @@
/* Test Direct_Product<nnc_ph, gr> ascii_dump() and ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/bounded1.cc b/tests/Partially_Reduced_Product/bounded1.cc
index 917b733..2c12b75 100644
--- a/tests/Partially_Reduced_Product/bounded1.cc
+++ b/tests/Partially_Reduced_Product/bounded1.cc
@@ -1,6 +1,6 @@
/* Test Product<>::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/boundedaffineimage1.cc b/tests/Partially_Reduced_Product/boundedaffineimage1.cc
index 35634d4..7b77d24 100644
--- a/tests/Partially_Reduced_Product/boundedaffineimage1.cc
+++ b/tests/Partially_Reduced_Product/boundedaffineimage1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::bounds_from_above() and
Product<NNC_Polyhedron, Grid>::bounds_from_below()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -37,7 +37,7 @@ test01() {
Product prp(7, EMPTY);
bool ok = (prp.bounds_from_above(Linear_Expression(0))
- && prp.bounds_from_below(Linear_Expression(0)));
+ && prp.bounds_from_below(Linear_Expression(0)));
print_congruences(prp, "*** prp congruences ***");
print_constraints(prp, "*** prp constraints ***");
@@ -51,7 +51,7 @@ test02() {
Product prp(0, EMPTY);
bool ok = (prp.bounds_from_above(Linear_Expression(3))
- && prp.bounds_from_below(Linear_Expression(3)));
+ && prp.bounds_from_below(Linear_Expression(3)));
print_congruences(prp, "*** prp congruences ***");
print_constraints(prp, "*** prp constraints ***");
@@ -65,7 +65,7 @@ test03() {
Product prp(0);
bool ok = (prp.bounds_from_above(Linear_Expression(1))
- && prp.bounds_from_below(Linear_Expression(1)));
+ && prp.bounds_from_below(Linear_Expression(1)));
print_congruences(prp, "*** prp congruences ***");
print_constraints(prp, "*** prp constraints ***");
@@ -196,7 +196,7 @@ test08() {
// Non-empty product. bounded_affine_preimage/3
bool
-test16() {
+test09() {
Variable A(0);
Variable B(1);
Variable C(2);
@@ -229,7 +229,7 @@ test16() {
// Empty product. bounded_affine_preimage/3
bool
-test09() {
+test10() {
Variable A(0);
Variable B(1);
Variable C(2);
@@ -266,4 +266,5 @@ BEGIN_MAIN
DO_TEST(test07);
DO_TEST(test08);
DO_TEST(test09);
+ DO_TEST(test10);
END_MAIN
diff --git a/tests/Partially_Reduced_Product/bounds1.cc b/tests/Partially_Reduced_Product/bounds1.cc
index 2a740ba..1a45043 100644
--- a/tests/Partially_Reduced_Product/bounds1.cc
+++ b/tests/Partially_Reduced_Product/bounds1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::bounds_from_above() and
Product<NNC_Polyhedron, Grid>::bounds_from_below()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -37,7 +37,7 @@ test01() {
Product prp(7, EMPTY);
bool ok = (prp.bounds_from_above(Linear_Expression(0))
- && prp.bounds_from_below(Linear_Expression(0)));
+ && prp.bounds_from_below(Linear_Expression(0)));
print_congruences(prp, "*** prp congruences ***");
print_constraints(prp, "*** prp constraints ***");
@@ -51,7 +51,7 @@ test02() {
Product prp(0, EMPTY);
bool ok = (prp.bounds_from_above(Linear_Expression(3))
- && prp.bounds_from_below(Linear_Expression(3)));
+ && prp.bounds_from_below(Linear_Expression(3)));
print_congruences(prp, "*** prp congruences ***");
print_constraints(prp, "*** prp constraints ***");
@@ -65,7 +65,7 @@ test03() {
Product prp(0);
bool ok = (prp.bounds_from_above(Linear_Expression(1))
- && prp.bounds_from_below(Linear_Expression(1)));
+ && prp.bounds_from_below(Linear_Expression(1)));
print_congruences(prp, "*** prp congruences ***");
print_constraints(prp, "*** prp constraints ***");
diff --git a/tests/Partially_Reduced_Product/concatenate1.cc b/tests/Partially_Reduced_Product/concatenate1.cc
index d6a92d8..0c10b47 100644
--- a/tests/Partially_Reduced_Product/concatenate1.cc
+++ b/tests/Partially_Reduced_Product/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::concatenate_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/congruences1.cc b/tests/Partially_Reduced_Product/congruences1.cc
index ef52529..e1d4bfc 100644
--- a/tests/Partially_Reduced_Product/congruences1.cc
+++ b/tests/Partially_Reduced_Product/congruences1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/congruencesproduct1.cc b/tests/Partially_Reduced_Product/congruencesproduct1.cc
index 2cf6f0a..173dd39 100644
--- a/tests/Partially_Reduced_Product/congruencesproduct1.cc
+++ b/tests/Partially_Reduced_Product/congruencesproduct1.cc
@@ -1,6 +1,6 @@
/* Test Partially_Reduced_Product<>:: Congruences_Reduction()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/constraints1.cc b/tests/Partially_Reduced_Product/constraints1.cc
index 609cd76..042369b 100644
--- a/tests/Partially_Reduced_Product/constraints1.cc
+++ b/tests/Partially_Reduced_Product/constraints1.cc
@@ -1,6 +1,6 @@
/* Test constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/constraintsproduct1.cc b/tests/Partially_Reduced_Product/constraintsproduct1.cc
index 48713ac..6c532f1 100644
--- a/tests/Partially_Reduced_Product/constraintsproduct1.cc
+++ b/tests/Partially_Reduced_Product/constraintsproduct1.cc
@@ -1,6 +1,6 @@
/* Test Partially_Reduced_Product<>:: Shrink_Using_Congruences_Reduction()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/contains1.cc b/tests/Partially_Reduced_Product/contains1.cc
index fd32700..5630207 100644
--- a/tests/Partially_Reduced_Product/contains1.cc
+++ b/tests/Partially_Reduced_Product/contains1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::contains() and
Product<NNC_Polyhedron, Grid>::strictly_contains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/difference1.cc b/tests/Partially_Reduced_Product/difference1.cc
index b3b4dac..7ece934 100644
--- a/tests/Partially_Reduced_Product/difference1.cc
+++ b/tests/Partially_Reduced_Product/difference1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::difference_assign() and.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/dimension1.cc b/tests/Partially_Reduced_Product/dimension1.cc
index 5df0564..e27ad53 100644
--- a/tests/Partially_Reduced_Product/dimension1.cc
+++ b/tests/Partially_Reduced_Product/dimension1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::space_dimension() and
Product<NNC_Polyhedron, Grid>::affine_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/directproduct1.cc b/tests/Partially_Reduced_Product/directproduct1.cc
index 48579d2..fbf02e6 100644
--- a/tests/Partially_Reduced_Product/directproduct1.cc
+++ b/tests/Partially_Reduced_Product/directproduct1.cc
@@ -1,6 +1,6 @@
/* Test Direct_Product<NNC_Polyhedron, Grid>.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/discrete1.cc b/tests/Partially_Reduced_Product/discrete1.cc
index 9563de6..e298d8b 100644
--- a/tests/Partially_Reduced_Product/discrete1.cc
+++ b/tests/Partially_Reduced_Product/discrete1.cc
@@ -1,6 +1,6 @@
/* Test Product<>::is_discrete().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/disjoint1.cc b/tests/Partially_Reduced_Product/disjoint1.cc
index 753811d..b1a00ba 100644
--- a/tests/Partially_Reduced_Product/disjoint1.cc
+++ b/tests/Partially_Reduced_Product/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test Product<>::is_disjoint().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/dropsomenonintegerpoints1.cc b/tests/Partially_Reduced_Product/dropsomenonintegerpoints1.cc
index 45312d7..3bd0b1f 100644
--- a/tests/Partially_Reduced_Product/dropsomenonintegerpoints1.cc
+++ b/tests/Partially_Reduced_Product/dropsomenonintegerpoints1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::drop_some_non_integer_points().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/equals1.cc b/tests/Partially_Reduced_Product/equals1.cc
index b3c01f4..c38acef 100644
--- a/tests/Partially_Reduced_Product/equals1.cc
+++ b/tests/Partially_Reduced_Product/equals1.cc
@@ -1,6 +1,6 @@
/* Test operator==() and operator!=().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/frombdshape1.cc b/tests/Partially_Reduced_Product/frombdshape1.cc
index 97dfc32..56a8f16 100644
--- a/tests/Partially_Reduced_Product/frombdshape1.cc
+++ b/tests/Partially_Reduced_Product/frombdshape1.cc
@@ -1,6 +1,6 @@
/* Test construction of product from BD_Shape.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/frombox1.cc b/tests/Partially_Reduced_Product/frombox1.cc
index 393e6da..7eb7c05 100644
--- a/tests/Partially_Reduced_Product/frombox1.cc
+++ b/tests/Partially_Reduced_Product/frombox1.cc
@@ -1,6 +1,6 @@
/* Test construction of product from a Box.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/fromgrid1.cc b/tests/Partially_Reduced_Product/fromgrid1.cc
index 99c27a4..67cb6d7 100644
--- a/tests/Partially_Reduced_Product/fromgrid1.cc
+++ b/tests/Partially_Reduced_Product/fromgrid1.cc
@@ -1,6 +1,6 @@
/* Test construction of product from a grid.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/fromoctagonalshape1.cc b/tests/Partially_Reduced_Product/fromoctagonalshape1.cc
index 5159c7e..51fe88f 100644
--- a/tests/Partially_Reduced_Product/fromoctagonalshape1.cc
+++ b/tests/Partially_Reduced_Product/fromoctagonalshape1.cc
@@ -1,6 +1,6 @@
/* Test construction of product from octagonal shape.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/frompolyhedron1.cc b/tests/Partially_Reduced_Product/frompolyhedron1.cc
index 8c4c87b..0969988 100644
--- a/tests/Partially_Reduced_Product/frompolyhedron1.cc
+++ b/tests/Partially_Reduced_Product/frompolyhedron1.cc
@@ -1,6 +1,6 @@
/* Test construction of product from a polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/fromproduct1.cc b/tests/Partially_Reduced_Product/fromproduct1.cc
index 94f0c3d..2f34301 100644
--- a/tests/Partially_Reduced_Product/fromproduct1.cc
+++ b/tests/Partially_Reduced_Product/fromproduct1.cc
@@ -1,6 +1,6 @@
/* Test construction of product from another product.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/generalizedaffineimage1.cc b/tests/Partially_Reduced_Product/generalizedaffineimage1.cc
index 6db9fc6..25791ca 100644
--- a/tests/Partially_Reduced_Product/generalizedaffineimage1.cc
+++ b/tests/Partially_Reduced_Product/generalizedaffineimage1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::generalized_affine_image() and
Product<NNC_Polyhedron, Grid>::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/intersection1.cc b/tests/Partially_Reduced_Product/intersection1.cc
index 72b7ab0..ae33049 100644
--- a/tests/Partially_Reduced_Product/intersection1.cc
+++ b/tests/Partially_Reduced_Product/intersection1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/isempty1.cc b/tests/Partially_Reduced_Product/isempty1.cc
index 5325dbe..abc31be 100644
--- a/tests/Partially_Reduced_Product/isempty1.cc
+++ b/tests/Partially_Reduced_Product/isempty1.cc
@@ -1,6 +1,6 @@
/* Test Product<>::is_empty().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/isuniverse1.cc b/tests/Partially_Reduced_Product/isuniverse1.cc
index 8106c01..01b932f 100644
--- a/tests/Partially_Reduced_Product/isuniverse1.cc
+++ b/tests/Partially_Reduced_Product/isuniverse1.cc
@@ -1,6 +1,6 @@
/* Test Product<>::is_universe1().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/maxmin1.cc b/tests/Partially_Reduced_Product/maxmin1.cc
index 11e19fa..b171f03 100644
--- a/tests/Partially_Reduced_Product/maxmin1.cc
+++ b/tests/Partially_Reduced_Product/maxmin1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::maximize() and
Product<NNC_Polyhedron, Grid>::minimize()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/partially_reduced_product_test.hh b/tests/Partially_Reduced_Product/partially_reduced_product_test.hh
index fa4dc49..e05b6fb 100644
--- a/tests/Partially_Reduced_Product/partially_reduced_product_test.hh
+++ b/tests/Partially_Reduced_Product/partially_reduced_product_test.hh
@@ -1,6 +1,6 @@
/* Header file for partially_reduced_product test programs.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/refinewithcongruences1.cc b/tests/Partially_Reduced_Product/refinewithcongruences1.cc
index 7f3c989..ef37833 100644
--- a/tests/Partially_Reduced_Product/refinewithcongruences1.cc
+++ b/tests/Partially_Reduced_Product/refinewithcongruences1.cc
@@ -1,6 +1,6 @@
/* Test refine_with_congruence() and refine_with_congruences()..
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/refinewithconstraints1.cc b/tests/Partially_Reduced_Product/refinewithconstraints1.cc
index d5ad49f..f86ce29 100644
--- a/tests/Partially_Reduced_Product/refinewithconstraints1.cc
+++ b/tests/Partially_Reduced_Product/refinewithconstraints1.cc
@@ -1,6 +1,6 @@
/* Test refine_with_constraint() and refine_with_constraints()..
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/relations1.cc b/tests/Partially_Reduced_Product/relations1.cc
index 4f077aa..8f46ced 100644
--- a/tests/Partially_Reduced_Product/relations1.cc
+++ b/tests/Partially_Reduced_Product/relations1.cc
@@ -1,6 +1,6 @@
/* Test relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -80,13 +80,13 @@ test03() {
dp.refine_with_congruence((A %= 2) / 0);
bool ok = (dp.relation_with(B == 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates())
- && dp.relation_with(B >= 0)
- == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates())
+ && dp.relation_with(B >= 0)
+ == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
print_constraints(dp, "*** dp constraints ***");
print_congruences(dp, "*** dp congruences ***");
@@ -126,13 +126,13 @@ test04() {
Poly_Con_Relation rel7 = dp.relation_with(2*A + B >= 3);
Poly_Con_Relation rel8 = dp.relation_with(3*A + 3*B + C >= 7);
bool ok = (rel3 == Poly_Con_Relation::nothing()
- && rel4 == Poly_Con_Relation::nothing()
- && rel5 == Poly_Con_Relation::nothing()
- && rel6 == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- && rel7 == Poly_Con_Relation::is_included()
- && rel8 == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ && rel4 == Poly_Con_Relation::nothing()
+ && rel5 == Poly_Con_Relation::nothing()
+ && rel6 == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ && rel7 == Poly_Con_Relation::is_included()
+ && rel8 == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
nout << "dp.relation_with(A + B + C %= 0) == " << rel3 << endl;
nout << "dp.relation_with(A + B %= 0) == " << rel4 << endl;
@@ -211,8 +211,8 @@ test07() {
Poly_Con_Relation rel = dp.relation_with(B %= 0);
bool ok = (rel == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::is_disjoint()
- && Poly_Con_Relation::saturates()));
+ && Poly_Con_Relation::is_disjoint()
+ && Poly_Con_Relation::saturates()));
nout << "dp.relation_with(B %= 0) == " << rel << endl;
print_constraints(dp, "*** dp constraints ***");
@@ -253,13 +253,13 @@ test08() {
Poly_Con_Relation rel7 = dp.relation_with(2*A + B %= 3);
Poly_Con_Relation rel8 = dp.relation_with(3*A + 3*B + C %= 7);
bool ok = (rel3 == Poly_Con_Relation::nothing()
- && rel4 == Poly_Con_Relation::nothing()
- && rel5 == Poly_Con_Relation::nothing()
- && rel6 == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates())
- && rel7 == Poly_Con_Relation::is_included()
- && rel8 == (Poly_Con_Relation::is_included()
- && Poly_Con_Relation::saturates()));
+ && rel4 == Poly_Con_Relation::nothing()
+ && rel5 == Poly_Con_Relation::nothing()
+ && rel6 == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates())
+ && rel7 == Poly_Con_Relation::is_included()
+ && rel8 == (Poly_Con_Relation::is_included()
+ && Poly_Con_Relation::saturates()));
nout << "dp.relation_with(A + B + C %= 0) == " << rel3 << endl;
nout << "dp.relation_with(A + B %= 0) == " << rel4 << endl;
@@ -285,14 +285,14 @@ test09() {
dp.refine_with_congruence(6*A + 3*B %= 0);
bool okdp1 = (dp.domain1().relation_with(2*A + B %= 3)
- == Poly_Con_Relation::strictly_intersects());
+ == Poly_Con_Relation::strictly_intersects());
bool okdp2 = (dp.domain2().relation_with(2*A + B %= 3)
- == Poly_Con_Relation::strictly_intersects());
+ == Poly_Con_Relation::strictly_intersects());
Poly_Con_Relation rel = dp.relation_with(2*A + B %= 3);
bool ok = (okdp1 && okdp2
- && rel == Poly_Con_Relation::nothing());
+ && rel == Poly_Con_Relation::nothing());
print_constraints(dp, "*** dp constraints ***");
print_congruences(dp, "*** dp congruences ***");
diff --git a/tests/Partially_Reduced_Product/shapepreservingproduct1.cc b/tests/Partially_Reduced_Product/shapepreservingproduct1.cc
index 96a495e..af03d55 100644
--- a/tests/Partially_Reduced_Product/shapepreservingproduct1.cc
+++ b/tests/Partially_Reduced_Product/shapepreservingproduct1.cc
@@ -1,6 +1,6 @@
/* Test Partially_Reduced_Product<>:: Shape_Preserving_Reduction()
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/smashproduct1.cc b/tests/Partially_Reduced_Product/smashproduct1.cc
index a7ee2c1..4529ff3 100644
--- a/tests/Partially_Reduced_Product/smashproduct1.cc
+++ b/tests/Partially_Reduced_Product/smashproduct1.cc
@@ -1,6 +1,6 @@
/* Test Smash_Product.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -424,7 +424,7 @@ test14() {
sp2.refine_with_congruence((B %= 1) / 3);
bool smash_ok = (!sp1.upper_bound_assign_if_exact(sp2)
- && !sp2.upper_bound_assign_if_exact(sp1));
+ && !sp2.upper_bound_assign_if_exact(sp1));
if (!smash_ok) {
print_congruences(sp1, "*** sp1 congruences ub exact ***");
diff --git a/tests/Partially_Reduced_Product/spacedims1.cc b/tests/Partially_Reduced_Product/spacedims1.cc
index 33c1382..439cebd 100644
--- a/tests/Partially_Reduced_Product/spacedims1.cc
+++ b/tests/Partially_Reduced_Product/spacedims1.cc
@@ -7,7 +7,7 @@
Product<NNC_Polyhedron, Grid>::expand_space_dimension() and
Product<NNC_Polyhedron, Grid>::map_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/timeelapse1.cc b/tests/Partially_Reduced_Product/timeelapse1.cc
index 32ed612..5eec79e 100644
--- a/tests/Partially_Reduced_Product/timeelapse1.cc
+++ b/tests/Partially_Reduced_Product/timeelapse1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::time_elapse_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/topclosed1.cc b/tests/Partially_Reduced_Product/topclosed1.cc
index 2cc1c90..1edcd74 100644
--- a/tests/Partially_Reduced_Product/topclosed1.cc
+++ b/tests/Partially_Reduced_Product/topclosed1.cc
@@ -1,6 +1,6 @@
/* Test Product<>::is_topologically_closed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/topclosure1.cc b/tests/Partially_Reduced_Product/topclosure1.cc
index bd81270..f9a0a5e 100644
--- a/tests/Partially_Reduced_Product/topclosure1.cc
+++ b/tests/Partially_Reduced_Product/topclosure1.cc
@@ -1,6 +1,6 @@
/* Test Product<NNC_Polyhedron, Grid>::topological_closure_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Partially_Reduced_Product/upperbound1.cc b/tests/Partially_Reduced_Product/upperbound1.cc
index 4ea6787..3b14537 100644
--- a/tests/Partially_Reduced_Product/upperbound1.cc
+++ b/tests/Partially_Reduced_Product/upperbound1.cc
@@ -1,7 +1,7 @@
/* Test Product<NNC_Polyhedron, Grid>::upper_bound_assign()
Product<NNC_Polyhedron, Grid>::upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -136,7 +136,7 @@ test04() {
prp2.refine_with_congruence((B %= 1) / 3);
bool cons_ok = (!prp1.upper_bound_assign_if_exact(prp2)
- && !prp2.upper_bound_assign_if_exact(prp1));
+ && !prp2.upper_bound_assign_if_exact(prp1));
if (!cons_ok) {
print_congruences(prp1, "*** prp1 congruences ub exact ***");
diff --git a/tests/Polyhedron/Makefile.am b/tests/Polyhedron/Makefile.am
index 5bcc76d..fcfcc69 100644
--- a/tests/Polyhedron/Makefile.am
+++ b/tests/Polyhedron/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Polyhedron/Makefile.in b/tests/Polyhedron/Makefile.in
index e8348d2..43834db 100644
--- a/tests/Polyhedron/Makefile.in
+++ b/tests/Polyhedron/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ TESTS = $(am__EXEEXT_1) $(am__EXEEXT_2)
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_3) $(am__EXEEXT_4)
subdir = tests/Polyhedron
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -205,6 +222,7 @@ addcongruence1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_addcongruences1_OBJECTS = addcongruences1.$(OBJEXT)
addcongruences1_OBJECTS = $(am_addcongruences1_OBJECTS)
addcongruences1_LDADD = $(LDADD)
@@ -1808,6 +1826,18 @@ writevariable1_LDADD = $(LDADD)
writevariable1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -1820,20 +1850,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addcongruence1_SOURCES) $(addcongruences1_SOURCES) \
$(addconstraint1_SOURCES) $(addconstraints1_SOURCES) \
$(addconstraints2_SOURCES) $(addgenerator1_SOURCES) \
@@ -2054,10 +2080,17 @@ DIST_SOURCES = $(addcongruence1_SOURCES) $(addcongruences1_SOURCES) \
$(writeconsys1_SOURCES) $(writegensys1_SOURCES) \
$(writepolyhedron1_SOURCES) $(writepolyhedron2_SOURCES) \
$(writerelation1_SOURCES) $(writevariable1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -4687,6 +4720,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -4700,7 +4747,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -4924,8 +4971,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Polyhedron/addcongruence1.cc b/tests/Polyhedron/addcongruence1.cc
index 281fdd9..9bb09aa 100644
--- a/tests/Polyhedron/addcongruence1.cc
+++ b/tests/Polyhedron/addcongruence1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_congruence().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/addcongruences1.cc b/tests/Polyhedron/addcongruences1.cc
index 823733a..7f238ce 100644
--- a/tests/Polyhedron/addcongruences1.cc
+++ b/tests/Polyhedron/addcongruences1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/addconstraint1.cc b/tests/Polyhedron/addconstraint1.cc
index c9a4b60..abcd094 100644
--- a/tests/Polyhedron/addconstraint1.cc
+++ b/tests/Polyhedron/addconstraint1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_constraint().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -38,7 +38,7 @@ test01() {
C_Polyhedron ph2(2);
for (Constraint_System::const_iterator i = ph1.constraints().begin(),
- cs_end = ph1.constraints().end(); i != cs_end; ++i)
+ cs_end = ph1.constraints().end(); i != cs_end; ++i)
ph2.add_constraint(*i);
C_Polyhedron known_result(2);
diff --git a/tests/Polyhedron/addconstraints1.cc b/tests/Polyhedron/addconstraints1.cc
index e16c2af..a1d3d60 100644
--- a/tests/Polyhedron/addconstraints1.cc
+++ b/tests/Polyhedron/addconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_constrains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -46,8 +46,8 @@ test01() {
C_Polyhedron univ_result;
bool ok = (ph1 == empty_result
- && ph2 == empty_result
- && ph3 == univ_result);
+ && ph2 == empty_result
+ && ph3 == univ_result);
print_constraints(ph1, "*** ph1 ***");
print_constraints(ph2, "*** ph2 ***");
diff --git a/tests/Polyhedron/addconstraints2.cc b/tests/Polyhedron/addconstraints2.cc
index 568152b..9b20536 100644
--- a/tests/Polyhedron/addconstraints2.cc
+++ b/tests/Polyhedron/addconstraints2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_constrains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/addgenerator1.cc b/tests/Polyhedron/addgenerator1.cc
index e235537..96f4a9c 100644
--- a/tests/Polyhedron/addgenerator1.cc
+++ b/tests/Polyhedron/addgenerator1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_generator().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/addgenerator2.cc b/tests/Polyhedron/addgenerator2.cc
index 483140b..d9d295d 100644
--- a/tests/Polyhedron/addgenerator2.cc
+++ b/tests/Polyhedron/addgenerator2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_generator().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -45,7 +45,7 @@ test01() {
const Generator_System& gs1 = ph1.minimized_generators();
for (Generator_System::const_iterator i = gs1.begin(),
- gs1_end = gs1.end(); i != gs1_end; ++i)
+ gs1_end = gs1.end(); i != gs1_end; ++i)
ph2.add_generator(*i);
C_Polyhedron known_result(2);
@@ -75,7 +75,7 @@ test02() {
const Generator_System& gs1 = ph1.minimized_generators();
for (Generator_System::const_iterator i = gs1.begin(),
- gs1_end = gs1.end(); i != gs1_end; ++i)
+ gs1_end = gs1.end(); i != gs1_end; ++i)
ph2.add_generator(*i);
C_Polyhedron known_result(2);
@@ -104,7 +104,7 @@ test03() {
C_Polyhedron ph(2, EMPTY);
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
if (!(*i).is_closure_point())
ph.add_generator(*i);
diff --git a/tests/Polyhedron/addgenerators1.cc b/tests/Polyhedron/addgenerators1.cc
index d726073..2797566 100644
--- a/tests/Polyhedron/addgenerators1.cc
+++ b/tests/Polyhedron/addgenerators1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/addgenerators2.cc b/tests/Polyhedron/addgenerators2.cc
index 85d5196..12ed28a 100644
--- a/tests/Polyhedron/addgenerators2.cc
+++ b/tests/Polyhedron/addgenerators2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::add_generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -64,7 +64,7 @@ test01() {
C_Polyhedron closed_known_result(known_result);
bool ok = (ph == known_result
- && closed_ph == closed_known_result);
+ && closed_ph == closed_known_result);
print_generators(ph, "*** after add_generators(gs) ***");
print_generators(closed_ph, "*** closed_ph ***");
diff --git a/tests/Polyhedron/addspacedims1.cc b/tests/Polyhedron/addspacedims1.cc
index fd5ae37..e8a87c6 100644
--- a/tests/Polyhedron/addspacedims1.cc
+++ b/tests/Polyhedron/addspacedims1.cc
@@ -1,7 +1,7 @@
/* Test Polyhedron::add_space_dimensions_and_project()
and Polyhedron::add_space_dimensions_and_embed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -71,7 +71,7 @@ test02() {
C_Polyhedron known_result(7, EMPTY);
bool ok = (computed_result1 == known_result
- && computed_result2 == known_result);
+ && computed_result2 == known_result);
print_constraints(computed_result1, "*** computed_result1 ***");
print_constraints(computed_result2, "*** computed_result2 ***");
@@ -159,7 +159,7 @@ test05() {
bool ok = (ph == known_result);
print_constraints(ph,
- "*** after ph.add_space_dimensions_and_project(1) ***");
+ "*** after ph.add_space_dimensions_and_project(1) ***");
return ok;
}
@@ -183,9 +183,9 @@ test06() {
bool ok = (ph1 == ph2);
print_constraints(ph1,
- "*** after ph1.add_space_dimensions_and_embed(0) ***");
+ "*** after ph1.add_space_dimensions_and_embed(0) ***");
print_constraints(ph2,
- "*** after ph2.add_space_dimensions_and_project(0) ***");
+ "*** after ph2.add_space_dimensions_and_project(0) ***");
return ok;
}
diff --git a/tests/Polyhedron/addspacedims2.cc b/tests/Polyhedron/addspacedims2.cc
index c50301d..5f07e06 100644
--- a/tests/Polyhedron/addspacedims2.cc
+++ b/tests/Polyhedron/addspacedims2.cc
@@ -1,7 +1,7 @@
/* Test Polyhedron::add_space_dimensions_and_project()
and Polyhedron::add_space_dimensions_and_embed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -210,7 +210,7 @@ test06() {
bool ok = (ph1 == known_result);
print_constraints(ph1,
- "*** after ph1.add_space_dimensions_and_embed(1) ***");
+ "*** after ph1.add_space_dimensions_and_embed(1) ***");
print_generators(ph1, "*** after ph1.add_space_dimensions_and_embed(1) ***");
return ok;
diff --git a/tests/Polyhedron/affineimage1.cc b/tests/Polyhedron/affineimage1.cc
index 7814145..b411e3e 100644
--- a/tests/Polyhedron/affineimage1.cc
+++ b/tests/Polyhedron/affineimage1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -221,7 +221,7 @@ test08() {
print_generators(ph, "*** after ph.affine_image(A, A + 1) ***");
print_generators(copy_ph,
- "*** after copy_ph.affine_image(A, -A - 1, -1) ***");
+ "*** after copy_ph.affine_image(A, -A - 1, -1) ***");
return ok;
}
@@ -246,7 +246,7 @@ test09() {
print_generators(ph, "*** after ph.affine_image(B, A + 1) ***");
print_generators(copy_ph,
- "*** after copy_ph.affine_image(B, -A - 1, -1) ***");
+ "*** after copy_ph.affine_image(B, -A - 1, -1) ***");
return ok;
}
diff --git a/tests/Polyhedron/affineimage2.cc b/tests/Polyhedron/affineimage2.cc
index 840a068..818f37c 100644
--- a/tests/Polyhedron/affineimage2.cc
+++ b/tests/Polyhedron/affineimage2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/affinepreimage1.cc b/tests/Polyhedron/affinepreimage1.cc
index 44ed059..a11c33c 100644
--- a/tests/Polyhedron/affinepreimage1.cc
+++ b/tests/Polyhedron/affinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -297,7 +297,7 @@ test11() {
print_generators(ph, "*** after ph.affine_preimage(A, A + 1) ***");
print_generators(copy_ph,
- "*** after copy_ph.affine_preimage(A, -A - 1, -1) ***");
+ "*** after copy_ph.affine_preimage(A, -A - 1, -1) ***");
return ok;
}
@@ -321,7 +321,7 @@ test12() {
print_generators(ph, "*** after ph.affine_preimage(B, A + 1) ***");
print_generators(copy_ph,
- "*** after copy_ph.affine_preimage(B, -A - 1, -1) ***");
+ "*** after copy_ph.affine_preimage(B, -A - 1, -1) ***");
return ok;
}
diff --git a/tests/Polyhedron/affinetrans.cc b/tests/Polyhedron/affinetrans.cc
index 048c23b..e928e16 100644
--- a/tests/Polyhedron/affinetrans.cc
+++ b/tests/Polyhedron/affinetrans.cc
@@ -1,6 +1,6 @@
/* Use of the functions affine_image and affine_preimage.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/append1.cc b/tests/Polyhedron/append1.cc
index d3e2aeb..5dac713 100644
--- a/tests/Polyhedron/append1.cc
+++ b/tests/Polyhedron/append1.cc
@@ -1,6 +1,6 @@
/* An example of iteration to a post-fixpoint.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,8 +27,8 @@ namespace {
void
shift_rename_add(const C_Polyhedron& p,
- dimension_type offset,
- C_Polyhedron& q) {
+ dimension_type offset,
+ C_Polyhedron& q) {
C_Polyhedron r(offset);
r.concatenate_assign(p);
q.intersection_assign(r);
diff --git a/tests/Polyhedron/append2.cc b/tests/Polyhedron/append2.cc
index 40deb6b..c87c2fb 100644
--- a/tests/Polyhedron/append2.cc
+++ b/tests/Polyhedron/append2.cc
@@ -1,6 +1,6 @@
/* An example of iteration to a post-fixpoint.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,8 +27,8 @@ namespace {
void
shift_rename_add(const C_Polyhedron& p,
- dimension_type offset,
- C_Polyhedron& q) {
+ dimension_type offset,
+ C_Polyhedron& q) {
C_Polyhedron r(offset);
r.concatenate_assign(p);
q.intersection_assign(r);
@@ -37,7 +37,7 @@ shift_rename_add(const C_Polyhedron& p,
void
append_init(C_Polyhedron& base, C_Polyhedron& induct, C_Polyhedron& expect,
dimension_type& offset, unsigned int& arity,
- unsigned int& num_vars) {
+ unsigned int& num_vars) {
offset = 3;
arity = 3;
num_vars = 6;
diff --git a/tests/Polyhedron/ascii_dump_load1.cc b/tests/Polyhedron/ascii_dump_load1.cc
index 0fd23fa..319b600 100644
--- a/tests/Polyhedron/ascii_dump_load1.cc
+++ b/tests/Polyhedron/ascii_dump_load1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::ascii_dump() and Polyhedron::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/ascii_dump_load2.cc b/tests/Polyhedron/ascii_dump_load2.cc
index e8f3eb7..b91e485 100644
--- a/tests/Polyhedron/ascii_dump_load2.cc
+++ b/tests/Polyhedron/ascii_dump_load2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::ascii_dump() and Polyhedron::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/ascii_dump_load3.cc b/tests/Polyhedron/ascii_dump_load3.cc
index c0ca78a..c7f5f43 100644
--- a/tests/Polyhedron/ascii_dump_load3.cc
+++ b/tests/Polyhedron/ascii_dump_load3.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::ascii_dump() and Polyhedron::ascii_load().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/bgp99extrapolation1.cc b/tests/Polyhedron/bgp99extrapolation1.cc
index 916e625..1ecf2cb 100644
--- a/tests/Polyhedron/bgp99extrapolation1.cc
+++ b/tests/Polyhedron/bgp99extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BGP99_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -89,8 +89,8 @@ aux2_test01(unsigned n) {
case 1:
nout << "S" << n << " = { "
- << "P" << p_base + 1 << ", "
- << "P" << p_base + 3 << " }" << endl;
+ << "P" << p_base + 1 << ", "
+ << "P" << p_base + 3 << " }" << endl;
s.add_disjunct(aux1_test01(p_base + 1));
s.add_disjunct(aux1_test01(p_base + 3));
@@ -98,8 +98,8 @@ aux2_test01(unsigned n) {
case 2:
nout << "S" << n << " = { "
- << "P" << p_base + 2 << ", "
- << "P" << p_base + 3 << " }" << endl;
+ << "P" << p_base + 2 << ", "
+ << "P" << p_base + 3 << " }" << endl;
s.add_disjunct(aux1_test01(p_base + 2));
s.add_disjunct(aux1_test01(p_base + 3));
@@ -107,8 +107,8 @@ aux2_test01(unsigned n) {
case 0:
nout << "S" << n << " = { "
- << "P" << p_base + 2 << ", "
- << "P" << p_base + 4 << " }" << endl;
+ << "P" << p_base + 2 << ", "
+ << "P" << p_base + 4 << " }" << endl;
s.add_disjunct(aux1_test01(p_base + 2));
s.add_disjunct(aux1_test01(p_base + 4));
diff --git a/tests/Polyhedron/bgp99extrapolation2.cc b/tests/Polyhedron/bgp99extrapolation2.cc
index 4290272..d4f4ef3 100644
--- a/tests/Polyhedron/bgp99extrapolation2.cc
+++ b/tests/Polyhedron/bgp99extrapolation2.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BGP99_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/bhrz03widening1.cc b/tests/Polyhedron/bhrz03widening1.cc
index e85f86c..052d618 100644
--- a/tests/Polyhedron/bhrz03widening1.cc
+++ b/tests/Polyhedron/bhrz03widening1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::BHRZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -352,7 +352,7 @@ test09() {
for (unsigned i = 1; i <= 100; ++i) {
print_generators(q_i_minus_1.generators(),
- "*** Result of the previous iteration ***");
+ "*** Result of the previous iteration ***");
C_Polyhedron p_i = aux2_test09(i);
print_generators(p_i.generators(), "*** New stuff ***");
@@ -360,11 +360,11 @@ test09() {
C_Polyhedron q_i = q_i_minus_1;
q_i.upper_bound_assign(p_i);
print_generators(q_i.generators(),
- "*** Poly-hull of previous with new ***");
+ "*** Poly-hull of previous with new ***");
q_i.BHRZ03_widening_assign(q_i_minus_1);
print_generators(q_i.generators(),
- "*** Result of widening poly-hull with new ***");
+ "*** Result of widening poly-hull with new ***");
if (q_i == q_i_minus_1) {
diff --git a/tests/Polyhedron/bhrz03widening2.cc b/tests/Polyhedron/bhrz03widening2.cc
index 4b67376..35b7dd4 100644
--- a/tests/Polyhedron/bhrz03widening2.cc
+++ b/tests/Polyhedron/bhrz03widening2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::BHRZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/bhrz03widening3.cc b/tests/Polyhedron/bhrz03widening3.cc
index 9a5aac1..37fe98f 100644
--- a/tests/Polyhedron/bhrz03widening3.cc
+++ b/tests/Polyhedron/bhrz03widening3.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::BHRZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -162,7 +162,7 @@ test03() {
for (unsigned i = 1; i <= 100; ++i) {
print_generators(q_i_minus_1.generators(),
- "*** Result of the previous iteration ***");
+ "*** Result of the previous iteration ***");
C_Polyhedron p_i = aux3_test03(i);
print_generators(p_i.generators(), "*** New stuff ***");
@@ -170,11 +170,11 @@ test03() {
C_Polyhedron q_i = q_i_minus_1;
q_i.upper_bound_assign(p_i);
print_generators(q_i.generators(),
- "*** Poly-hull of previous with new ***");
+ "*** Poly-hull of previous with new ***");
q_i.BHRZ03_widening_assign(q_i_minus_1);
print_generators(q_i.generators(),
- "*** Result of widening poly-hull with new ***");
+ "*** Result of widening poly-hull with new ***");
if (q_i == q_i_minus_1) {
C_Polyhedron known_result(2);
@@ -206,16 +206,19 @@ aux1_test04() {
Generator
aux2_test04(const Generator& p1, const Generator& p2, unsigned magic_number) {
// Splitting segment.
+ Linear_Expression expr1(p1.expression());
+ Linear_Expression expr2(p2.expression());
const Coefficient& d1 = p1.divisor();
const Coefficient& d2 = p2.divisor();
- Linear_Expression expr = d2 * Linear_Expression(p1);
- expr += d1 * Linear_Expression(p2);
+ expr1 *= d2;
+ expr2 *= d1;
+ expr1 += expr2;
// The divisor for the average is 2 * d1 * d2.
// by carefully taking a smaller divisor, we obtain a point
// that won't be redundant in the polyhedron.
// NOTE: I am not *sure* this dirty kludge of using such
// a magic number will always succeed.
- return point((magic_number+1)*expr, magic_number*2*d1*d2);
+ return point((magic_number+1)*expr1, magic_number*2*d1*d2);
}
Generator_System
@@ -284,7 +287,7 @@ test04() {
for (unsigned i = 1; i <= 100; ++i) {
print_generators(q_i_minus_1.generators(),
- "*** Result of the previous iteration ***");
+ "*** Result of the previous iteration ***");
C_Polyhedron p_i = aux4_test04(i);
print_generators(p_i.generators(), "*** New stuff ***");
@@ -292,11 +295,11 @@ test04() {
C_Polyhedron q_i = q_i_minus_1;
q_i.upper_bound_assign(p_i);
print_generators(q_i.generators(),
- "*** Poly-hull of previous with new ***");
+ "*** Poly-hull of previous with new ***");
q_i.BHRZ03_widening_assign(q_i_minus_1);
print_generators(q_i.generators(),
- "*** Result of widening poly-hull with new ***");
+ "*** Result of widening poly-hull with new ***");
if (q_i == q_i_minus_1) {
C_Polyhedron known_result(2);
@@ -333,15 +336,14 @@ aux2_test05(const Generator& r1, const Generator& r2, unsigned magic_number) {
// Variable A(0);
// Variable B(1);
Variable C(2);
-
- Linear_Expression expr;
- expr += Linear_Expression(r1);
- expr += Linear_Expression(r2);
+ Linear_Expression expr1(r1.expression());
+ Linear_Expression expr2(r2.expression());
+ expr1 += expr2;
// NOTE: I am not *sure* this dirty kludge of using such
// a magic number will always succeed.
- expr *= magic_number + 1;
- expr -= C;
- return ray(expr);
+ expr1 *= (magic_number + 1);
+ expr1 -= C;
+ return ray(expr1);
}
Generator_System
diff --git a/tests/Polyhedron/bhz03widening1.cc b/tests/Polyhedron/bhz03widening1.cc
index 719a48d..d2886a1 100644
--- a/tests/Polyhedron/bhz03widening1.cc
+++ b/tests/Polyhedron/bhz03widening1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::BHZ03_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -91,8 +91,8 @@ aux2_test01(unsigned n) {
case 1:
nout << "S" << n << " = { "
- << "P" << p_base + 1 << ", "
- << "P" << p_base + 3 << " }" << endl;
+ << "P" << p_base + 1 << ", "
+ << "P" << p_base + 3 << " }" << endl;
s.add_disjunct(aux1_test01(p_base + 1));
s.add_disjunct(aux1_test01(p_base + 3));
@@ -100,8 +100,8 @@ aux2_test01(unsigned n) {
case 2:
nout << "S" << n << " = { "
- << "P" << p_base + 2 << ", "
- << "P" << p_base + 3 << " }" << endl;
+ << "P" << p_base + 2 << ", "
+ << "P" << p_base + 3 << " }" << endl;
s.add_disjunct(aux1_test01(p_base + 2));
s.add_disjunct(aux1_test01(p_base + 3));
@@ -109,8 +109,8 @@ aux2_test01(unsigned n) {
case 0:
nout << "S" << n << " = { "
- << "P" << p_base + 2 << ", "
- << "P" << p_base + 4 << " }" << endl;
+ << "P" << p_base + 2 << ", "
+ << "P" << p_base + 4 << " }" << endl;
s.add_disjunct(aux1_test01(p_base + 2));
s.add_disjunct(aux1_test01(p_base + 4));
@@ -321,8 +321,8 @@ aux2_test04(unsigned n) {
case 1:
nout << "S" << n << " = { "
- << "P" << p_base + 1 << ", "
- << "P" << p_base + 3 << " }" << endl;
+ << "P" << p_base + 1 << ", "
+ << "P" << p_base + 3 << " }" << endl;
s.add_disjunct(aux1_test04(p_base + 1));
s.add_disjunct(aux1_test04(p_base + 3));
@@ -330,8 +330,8 @@ aux2_test04(unsigned n) {
case 2:
nout << "S" << n << " = { "
- << "P" << p_base + 2 << ", "
- << "P" << p_base + 3 << " }" << endl;
+ << "P" << p_base + 2 << ", "
+ << "P" << p_base + 3 << " }" << endl;
s.add_disjunct(aux1_test04(p_base + 2));
s.add_disjunct(aux1_test04(p_base + 3));
@@ -339,8 +339,8 @@ aux2_test04(unsigned n) {
case 0:
nout << "S" << n << " = { "
- << "P" << p_base + 2 << ", "
- << "P" << p_base + 4 << " }" << endl;
+ << "P" << p_base + 2 << ", "
+ << "P" << p_base + 4 << " }" << endl;
s.add_disjunct(aux1_test04(p_base + 2));
s.add_disjunct(aux1_test04(p_base + 4));
diff --git a/tests/Polyhedron/bounded1.cc b/tests/Polyhedron/bounded1.cc
index 1d2cb04..db12664 100644
--- a/tests/Polyhedron/bounded1.cc
+++ b/tests/Polyhedron/bounded1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/boundedaffineimage1.cc b/tests/Polyhedron/boundedaffineimage1.cc
index ffb3a4c..e52ee53 100644
--- a/tests/Polyhedron/boundedaffineimage1.cc
+++ b/tests/Polyhedron/boundedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -52,7 +52,7 @@ test01() {
bool ok = (ph == kr1);
print_generators(ph,
- "*** ph.bounded_affine_image(A, 7-B, B+3) ***");
+ "*** ph.bounded_affine_image(A, 7-B, B+3) ***");
return ok;
}
@@ -84,9 +84,9 @@ test02() {
bool ok = (ph == kr1);
print_generators(ph,
- "*** ph.bounded_affine_image(A, 7-3*A+2*B, B+5*A-3) ***");
+ "*** ph.bounded_affine_image(A, 7-3*A+2*B, B+5*A-3) ***");
print_generators(kr1,
- "*** kr1.bounded_affine_image(A, 7-3*A+2*B, B+5*A-3) ***");
+ "*** kr1.bounded_affine_image(A, 7-3*A+2*B, B+5*A-3) ***");
return ok;
}
@@ -140,10 +140,10 @@ test04() {
bool ok = (kr1 == ph);
print_constraints(ph,
- "*** ph.bounded_affine_image("
- "x, -2*x+y+1, -2*x+y+1, -1) ***");
+ "*** ph.bounded_affine_image("
+ "x, -2*x+y+1, -2*x+y+1, -1) ***");
print_constraints(kr1,
- "*** kr1 ***");
+ "*** kr1 ***");
return ok;
}
@@ -174,10 +174,10 @@ test05() {
bool ok = (kr1 == ph);
print_constraints(ph,
- "*** ph.bounded_affine_image("
- "x, 2*x+y+1, 2*x+y+1, -1) ***");
+ "*** ph.bounded_affine_image("
+ "x, 2*x+y+1, 2*x+y+1, -1) ***");
print_constraints(kr1,
- "*** kr1 ***");
+ "*** kr1 ***");
return ok;
}
@@ -208,10 +208,10 @@ test06() {
bool ok = (kr1 == ph);
print_constraints(ph,
- "*** ph.bounded_affine_image("
- "x, -2*x+y+1, -2*x+y+1) ***");
+ "*** ph.bounded_affine_image("
+ "x, -2*x+y+1, -2*x+y+1) ***");
print_constraints(kr1,
- "*** kr1 ***");
+ "*** kr1 ***");
return ok;
}
diff --git a/tests/Polyhedron/boundedaffinepreimage1.cc b/tests/Polyhedron/boundedaffinepreimage1.cc
index b5915a0..53be8ee 100644
--- a/tests/Polyhedron/boundedaffinepreimage1.cc
+++ b/tests/Polyhedron/boundedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::bounded_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -88,7 +88,7 @@ test02() {
bool ok = (ph == known_result);
print_generators(ph, "*** "
- "ph.bounded_affine_preimage(B, 7-3*A+2*B, B+5*A-3) ***");
+ "ph.bounded_affine_preimage(B, 7-3*A+2*B, B+5*A-3) ***");
return ok;
}
diff --git a/tests/Polyhedron/boundedbhrz03extrapolation1.cc b/tests/Polyhedron/boundedbhrz03extrapolation1.cc
index 9d4e205..8250529 100644
--- a/tests/Polyhedron/boundedbhrz03extrapolation1.cc
+++ b/tests/Polyhedron/boundedbhrz03extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::bounded_BHRZ03_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/boundedh79extrapolation1.cc b/tests/Polyhedron/boundedh79extrapolation1.cc
index bb8025a..ce27ef8 100644
--- a/tests/Polyhedron/boundedh79extrapolation1.cc
+++ b/tests/Polyhedron/boundedh79extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::bounded_H79_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -62,8 +62,8 @@ test01() {
bool ok = (ph2 == known_result);
print_constraints(ph2,
- "*** after ph2.bounded_H79_extrapolation_assign(ph1, cs) "
- "***");
+ "*** after ph2.bounded_H79_extrapolation_assign(ph1, cs) "
+ "***");
return ok;
}
diff --git a/tests/Polyhedron/bounds1.cc b/tests/Polyhedron/bounds1.cc
index b4122b6..9ee3b59 100644
--- a/tests/Polyhedron/bounds1.cc
+++ b/tests/Polyhedron/bounds1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::bounds_from_below() and Polyhedron::bounds_from_above().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/cnncconversion1.cc b/tests/Polyhedron/cnncconversion1.cc
index f0e9741..092a48f 100644
--- a/tests/Polyhedron/cnncconversion1.cc
+++ b/tests/Polyhedron/cnncconversion1.cc
@@ -1,6 +1,6 @@
/* Test conversions between C_Polyhedron and NNC_Polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/concatenate1.cc b/tests/Polyhedron/concatenate1.cc
index 8854d9a..a222d52 100644
--- a/tests/Polyhedron/concatenate1.cc
+++ b/tests/Polyhedron/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::concatenate_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/congruences1.cc b/tests/Polyhedron/congruences1.cc
index 4189a0a..da0af52 100644
--- a/tests/Polyhedron/congruences1.cc
+++ b/tests/Polyhedron/congruences1.cc
@@ -1,6 +1,6 @@
/* Test C_Polyhedron(Congruence_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/constrains1.cc b/tests/Polyhedron/constrains1.cc
index 03e3534..8fb2a87 100644
--- a/tests/Polyhedron/constrains1.cc
+++ b/tests/Polyhedron/constrains1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::constrains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,16 +23,16 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#define TEST_PREDICATE_TRUE(pred) \
- if (!pred) { \
- nout << "!" #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_TRUE(pred) \
+ if (!pred) { \
+ nout << "!" #pred << endl; \
+ ok = false; \
}
-#define TEST_PREDICATE_FALSE(pred) \
- if (pred) { \
- nout << #pred << endl; \
- ok = false; \
+#define TEST_PREDICATE_FALSE(pred) \
+ if (pred) { \
+ nout << #pred << endl; \
+ ok = false; \
}
namespace {
diff --git a/tests/Polyhedron/constraints1.cc b/tests/Polyhedron/constraints1.cc
index 85d86f9..39f9827 100644
--- a/tests/Polyhedron/constraints1.cc
+++ b/tests/Polyhedron/constraints1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/contains1.cc b/tests/Polyhedron/contains1.cc
index deb572f..212f846 100644
--- a/tests/Polyhedron/contains1.cc
+++ b/tests/Polyhedron/contains1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::contains(const Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/contains2.cc b/tests/Polyhedron/contains2.cc
index 7a222cc..69fa50a 100644
--- a/tests/Polyhedron/contains2.cc
+++ b/tests/Polyhedron/contains2.cc
@@ -1,6 +1,6 @@
/* Test NNC_Polyhedron::contains(const Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/containsintegerpoint1.cc b/tests/Polyhedron/containsintegerpoint1.cc
index 1c63fbf..0c31432 100644
--- a/tests/Polyhedron/containsintegerpoint1.cc
+++ b/tests/Polyhedron/containsintegerpoint1.cc
@@ -1,6 +1,6 @@
/* Test C_Polyhedron::contains_integer_point().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/disjoint1.cc b/tests/Polyhedron/disjoint1.cc
index bba2243..39ec4ad 100644
--- a/tests/Polyhedron/disjoint1.cc
+++ b/tests/Polyhedron/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::is_disjoint_from(const Polyhedron& y).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -52,7 +52,7 @@ C_Polyhedron
half_strip(const Generator& p, const Linear_Expression& e) {
assert(p.is_point());
- Linear_Expression e1(p);
+ Linear_Expression e1(p.expression());
e1 += 3*Variable(0);
Generator_System gs;
diff --git a/tests/Polyhedron/disjoint2.cc b/tests/Polyhedron/disjoint2.cc
index a8d1225..54d1646 100644
--- a/tests/Polyhedron/disjoint2.cc
+++ b/tests/Polyhedron/disjoint2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::is_disjoint_from(const Polyhedron& y).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,11 +27,11 @@ namespace {
NNC_Polyhedron
half_strip(const Generator& p,
- const Linear_Expression& e,
- bool closed = true) {
+ const Linear_Expression& e,
+ bool closed = true) {
assert((p.is_point() && closed) || (p.is_closure_point() && ! closed));
- Linear_Expression e1(p);
+ Linear_Expression e1(p.expression());
e1 += 3*Variable(0);
Generator_System gs;
diff --git a/tests/Polyhedron/dropsomenonintegerpoints1.cc b/tests/Polyhedron/dropsomenonintegerpoints1.cc
index d6e9071..a1851e9 100644
--- a/tests/Polyhedron/dropsomenonintegerpoints1.cc
+++ b/tests/Polyhedron/dropsomenonintegerpoints1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::drop_some_non_integer_points().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/dropsomenonintegerpoints2.cc b/tests/Polyhedron/dropsomenonintegerpoints2.cc
index 4adcce6..42176d9 100644
--- a/tests/Polyhedron/dropsomenonintegerpoints2.cc
+++ b/tests/Polyhedron/dropsomenonintegerpoints2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::drop_some_non_integer_points().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -150,6 +150,40 @@ test05() {
return ok;
}
+bool
+test06() {
+ Variable A(0);
+ Variable B(1);
+
+ C_Polyhedron ph(2, EMPTY);
+ ph.add_generator(point(A, 2));
+ ph.add_generator(point(B, 2));
+
+ print_generators(ph, "*** ph ***");
+
+ ph.drop_some_non_integer_points(Variables_Set(B));
+
+ C_Polyhedron known_result1(2, EMPTY);
+ known_result1.add_generator(point(A, 2));
+
+ bool ok = (ph == known_result1);
+
+ print_constraints(ph, "*** after ph.drop_some_non_integer_points({B}) ***");
+
+ if (!ok)
+ return ok;
+
+ ph.drop_some_non_integer_points(Variables_Set(A));
+
+ C_Polyhedron known_result2(2, EMPTY);
+
+ ok = (ph == known_result2);
+
+ print_constraints(ph, "*** after ph.drop_some_non_integer_points({A}) ***");
+
+ return ok;
+}
+
} // namespace
BEGIN_MAIN
@@ -158,4 +192,5 @@ BEGIN_MAIN
DO_TEST(test03);
DO_TEST(test04);
DO_TEST(test05);
+ DO_TEST(test06);
END_MAIN
diff --git a/tests/Polyhedron/dualhypercubes.cc b/tests/Polyhedron/dualhypercubes.cc
index f6d3ffa..ea46875 100644
--- a/tests/Polyhedron/dualhypercubes.cc
+++ b/tests/Polyhedron/dualhypercubes.cc
@@ -1,6 +1,6 @@
/* Exploit smf when computing the intersection of NNC dual hypercubes.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -39,9 +39,9 @@ namespace {
void
closure_points_dual_hypercube(const dimension_type dims,
- const Linear_Expression& weight_center,
- const Coefficient& half_diagonal,
- Generator_System& gs) {
+ const Linear_Expression& weight_center,
+ const Coefficient& half_diagonal,
+ Generator_System& gs) {
// An ill-formed (it has no points at all) generator system
// for a dual hypercube.
for (dimension_type axis = dims; axis-- > 0; ) {
@@ -52,12 +52,12 @@ closure_points_dual_hypercube(const dimension_type dims,
void
add_facets(dimension_type& to_be_added,
- Generator_System& gs,
- const Linear_Expression& expr,
- const dimension_type axis,
- const dimension_type dims,
- const Linear_Expression& weight_center,
- const Coefficient& half_diagonal) {
+ Generator_System& gs,
+ const Linear_Expression& expr,
+ const dimension_type axis,
+ const dimension_type dims,
+ const Linear_Expression& weight_center,
+ const Coefficient& half_diagonal) {
// Return if we have already added all facets.
if (to_be_added == 0)
return;
@@ -81,20 +81,20 @@ add_facets(dimension_type& to_be_added,
// First recursive call with variable with index `axis'
// having coordinate 1/dims.
add_facets(to_be_added, gs, expr1,
- axis-1, dims, weight_center, half_diagonal);
+ axis-1, dims, weight_center, half_diagonal);
if (to_be_added == 0)
return;
// Second recursive call with variable with index `axis'
// having coordinate -1/dims.
add_facets(to_be_added, gs, expr2,
- axis-1, dims, weight_center, half_diagonal);
+ axis-1, dims, weight_center, half_diagonal);
}
NNC_Polyhedron
NNC_dual_hypercube(const dimension_type dims,
- const Linear_Expression& weight_center,
- const Coefficient& half_diagonal,
- const int facet_percentage) {
+ const Linear_Expression& weight_center,
+ const Coefficient& half_diagonal,
+ const int facet_percentage) {
Generator_System gs;
closure_points_dual_hypercube(dims, weight_center, half_diagonal, gs);
// Number of facets in the closed dual hypercube.
@@ -107,15 +107,15 @@ NNC_dual_hypercube(const dimension_type dims,
gs.insert(point(weight_center));
else
add_facets(facets_to_be_added, gs, Linear_Expression(0),
- dims-1, dims, weight_center, half_diagonal);
+ dims-1, dims, weight_center, half_diagonal);
// Actually build the polyhedron.
return NNC_Polyhedron(gs);
}
void
build_polyhedra(const dimension_type dims,
- const int percentage,
- std::vector<NNC_Polyhedron>& ph) {
+ const int percentage,
+ std::vector<NNC_Polyhedron>& ph) {
Linear_Expression weight_center;
@@ -346,10 +346,10 @@ test01() {
for (int percentage = 25; percentage <= 50; percentage += 25) {
nout << endl
- << "++++++++ DIMENSIONS = " << dims << " ++++++++"
- << endl
- << "++++++++ PERCENTAGE = " << percentage << " ++++++++"
- << endl;
+ << "++++++++ DIMENSIONS = " << dims << " ++++++++"
+ << endl
+ << "++++++++ PERCENTAGE = " << percentage << " ++++++++"
+ << endl;
// Standard evaluation strategy.
ph.clear();
@@ -359,11 +359,11 @@ test01() {
// Check if there is a known result.
known_result = standard_cardinalities.find(make_pair(dims, percentage));
if (known_result != standard_cardinalities.end()
- && known_result->second != standard_eval_card) {
- ++num_errors;
- nout << "Cardinality mismatch: "
- << "expected " << known_result->second << ", "
- << "obtained " << standard_eval_card << ".\n";
+ && known_result->second != standard_eval_card) {
+ ++num_errors;
+ nout << "Cardinality mismatch: "
+ << "expected " << known_result->second << ", "
+ << "obtained " << standard_eval_card << ".\n";
}
// Enhanced evaluation strategy.
@@ -374,11 +374,11 @@ test01() {
// Check if there is a known result.
known_result = enhanced_cardinalities.find(make_pair(dims, percentage));
if (known_result != enhanced_cardinalities.end()
- && known_result->second != enhanced_eval_card) {
- ++num_errors;
- nout << "Cardinality mismatch: "
- << "expected " << known_result->second << ", "
- << "obtained " << enhanced_eval_card <<".\n";
+ && known_result->second != enhanced_eval_card) {
+ ++num_errors;
+ nout << "Cardinality mismatch: "
+ << "expected " << known_result->second << ", "
+ << "obtained " << enhanced_eval_card <<".\n";
}
}
diff --git a/tests/Polyhedron/empty1.cc b/tests/Polyhedron/empty1.cc
index 8960bf5..3f9cf06 100644
--- a/tests/Polyhedron/empty1.cc
+++ b/tests/Polyhedron/empty1.cc
@@ -1,6 +1,6 @@
/* Different ways of creating an empty polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/equals1.cc b/tests/Polyhedron/equals1.cc
index 146bb64..1998212 100644
--- a/tests/Polyhedron/equals1.cc
+++ b/tests/Polyhedron/equals1.cc
@@ -1,6 +1,6 @@
/* Test operator==(const Polyhedron&, const Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/exceptions1.cc b/tests/Polyhedron/exceptions1.cc
index 261c321..ec8dba0 100644
--- a/tests/Polyhedron/exceptions1.cc
+++ b/tests/Polyhedron/exceptions1.cc
@@ -1,6 +1,6 @@
/* Test that the right exceptions are thrown in case of incorrect uses.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/exceptions2.cc b/tests/Polyhedron/exceptions2.cc
index 278976b..70381b3 100644
--- a/tests/Polyhedron/exceptions2.cc
+++ b/tests/Polyhedron/exceptions2.cc
@@ -1,6 +1,6 @@
/* Test that the right exceptions are thrown in case of incorrect uses.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/exceptions3.cc b/tests/Polyhedron/exceptions3.cc
index 5a47a38..8967dc4 100644
--- a/tests/Polyhedron/exceptions3.cc
+++ b/tests/Polyhedron/exceptions3.cc
@@ -1,6 +1,6 @@
/* Test that the right exceptions are thrown in case of incorrect uses.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -206,7 +206,7 @@ test09() {
// vector space will have a dimension greater than
// C_Polyhedron::max_space_dimension().
ph.expand_space_dimension(Variable(0),
- C_Polyhedron::max_space_dimension());
+ C_Polyhedron::max_space_dimension());
// It is an error if the exception is not thrown.
}
diff --git a/tests/Polyhedron/expandspacedim1.cc b/tests/Polyhedron/expandspacedim1.cc
index cdcc4a3..5a890f5 100644
--- a/tests/Polyhedron/expandspacedim1.cc
+++ b/tests/Polyhedron/expandspacedim1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::expand_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -215,8 +215,8 @@ test07() {
bool ok = (ph1 == known_result);
print_constraints(ph1,
- "*** after ph1.expand_space_dimension(A, 1);"
- " ph1.expand_space_dimension(C, 1) ***");
+ "*** after ph1.expand_space_dimension(A, 1);"
+ " ph1.expand_space_dimension(C, 1) ***");
return ok;
}
diff --git a/tests/Polyhedron/expandspacedim2.cc b/tests/Polyhedron/expandspacedim2.cc
index e6a6395..d9dee50 100644
--- a/tests/Polyhedron/expandspacedim2.cc
+++ b/tests/Polyhedron/expandspacedim2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::expand_space_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/foldspacedims1.cc b/tests/Polyhedron/foldspacedims1.cc
index a5f6a04..48db5a3 100644
--- a/tests/Polyhedron/foldspacedims1.cc
+++ b/tests/Polyhedron/foldspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::fold_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/foldspacedims2.cc b/tests/Polyhedron/foldspacedims2.cc
index 6fd5dd5..7580197 100644
--- a/tests/Polyhedron/foldspacedims2.cc
+++ b/tests/Polyhedron/foldspacedims2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::fold_space_dimensions() for non-closed polyhedra.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/frequency1.cc b/tests/Polyhedron/frequency1.cc
index 935d923..1e068ca 100644
--- a/tests/Polyhedron/frequency1.cc
+++ b/tests/Polyhedron/frequency1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::frequency().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/frombdshape1.cc b/tests/Polyhedron/frombdshape1.cc
index 52264ba..df03661 100644
--- a/tests/Polyhedron/frombdshape1.cc
+++ b/tests/Polyhedron/frombdshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/frombox1.cc b/tests/Polyhedron/frombox1.cc
index 39c8922..0a44c5f 100644
--- a/tests/Polyhedron/frombox1.cc
+++ b/tests/Polyhedron/frombox1.cc
@@ -1,7 +1,7 @@
/* Test C_Polyhedron::C_Polyhedron(const Box<Interval>&)
and NNC_Polyhedron::NNC_Polyhedron(const Box<Interval>&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/frombox2.cc b/tests/Polyhedron/frombox2.cc
index 3671a9d..2c2c1d7 100644
--- a/tests/Polyhedron/frombox2.cc
+++ b/tests/Polyhedron/frombox2.cc
@@ -1,6 +1,6 @@
/* Test NNC_Polyhedron::NNC_Polyhedron(const Box<Interval>&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/fromgrid1.cc b/tests/Polyhedron/fromgrid1.cc
index bb3daa8..1c997cc 100644
--- a/tests/Polyhedron/fromgrid1.cc
+++ b/tests/Polyhedron/fromgrid1.cc
@@ -1,7 +1,7 @@
/* Test C_Polyhedron::C_Polyhedron(const Grid&)
and NNC_Polyhedron::NNC_Polyhedron(const Grid&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/fromoctagonalshape1.cc b/tests/Polyhedron/fromoctagonalshape1.cc
index 063e50f..10ffbac 100644
--- a/tests/Polyhedron/fromoctagonalshape1.cc
+++ b/tests/Polyhedron/fromoctagonalshape1.cc
@@ -1,6 +1,6 @@
/* Test BD_Shape::BD_Shape(const C_Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/generalizedaffineimage1.cc b/tests/Polyhedron/generalizedaffineimage1.cc
index cb84724..90db9cd 100644
--- a/tests/Polyhedron/generalizedaffineimage1.cc
+++ b/tests/Polyhedron/generalizedaffineimage1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -48,8 +48,8 @@ test01() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, GREATER_OR_EQUAL, A+2)"
- " ***");
+ "ph.generalized_affine_image(B, GREATER_OR_EQUAL, A+2)"
+ " ***");
return ok;
}
@@ -77,8 +77,8 @@ test02() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, GREATER_OR_EQUAL,"
- " A+2, -2) ***");
+ "ph.generalized_affine_image(B, GREATER_OR_EQUAL,"
+ " A+2, -2) ***");
return ok;
}
@@ -106,8 +106,8 @@ test03() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, LESS_OR_EQUAL,"
- " A-B+2, -3) ***");
+ "ph.generalized_affine_image(B, LESS_OR_EQUAL,"
+ " A-B+2, -3) ***");
return ok;
}
@@ -132,8 +132,8 @@ test04() {
bool ok = (ph == known_result);
print_generators(ph,
- "*** after ph.generalized_affine_image"
- "(A, EQUAL, A + 2) ***");
+ "*** after ph.generalized_affine_image"
+ "(A, EQUAL, A + 2) ***");
return ok;
}
@@ -159,8 +159,8 @@ test05() {
bool ok = (ph == known_result);
print_generators(ph,
- "*** after ph.generalized_affine_image"
- "(A + B, GREATER_OR_EQUAL, 2*A - B + 2) ***");
+ "*** after ph.generalized_affine_image"
+ "(A + B, GREATER_OR_EQUAL, 2*A - B + 2) ***");
return ok;
}
@@ -181,7 +181,7 @@ test06() {
bool ok = (ph1 == known_result);
print_constraints(ph1, "*** after ph1.generalized_affine_image"
- "(A, LESS_OR_EQUAL, B + 1) ***");
+ "(A, LESS_OR_EQUAL, B + 1) ***");
return ok;
}
@@ -202,7 +202,7 @@ test07() {
bool ok = (ph1 == known_result);
print_constraints(ph1, "*** after ph1.generalized_affine_image"
- "(A + B, GREATER_OR_EQUAL, A + B + 1) ***");
+ "(A + B, GREATER_OR_EQUAL, A + B + 1) ***");
return ok;
}
@@ -224,8 +224,8 @@ test08() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(A, GREATER_OR_EQUAL, A+2)"
- " ***");
+ "ph.generalized_affine_image(A, GREATER_OR_EQUAL, A+2)"
+ " ***");
return ok;
}
@@ -247,9 +247,9 @@ test09() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image"
+ "ph.generalized_affine_image"
"(A+1, GREATER_OR_EQUAL, A+2)"
- " ***");
+ " ***");
return ok;
}
diff --git a/tests/Polyhedron/generalizedaffineimage2.cc b/tests/Polyhedron/generalizedaffineimage2.cc
index 1f04d5f..c31a2a6 100644
--- a/tests/Polyhedron/generalizedaffineimage2.cc
+++ b/tests/Polyhedron/generalizedaffineimage2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::generalized_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -50,7 +50,7 @@ test01() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, LESS_THAN, B+2) ***");
+ "ph.generalized_affine_image(B, LESS_THAN, B+2) ***");
return ok;
}
@@ -76,8 +76,8 @@ test02() {
bool ok = (ph == ph2);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, GREATER_OR_EQUAL,"
- " A+2) ***");
+ "ph.generalized_affine_image(B, GREATER_OR_EQUAL,"
+ " A+2) ***");
return ok;
}
@@ -103,8 +103,8 @@ test03() {
bool ok = (ph == ph2);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, GREATER_OR_EQUAL,"
- " A+2, -2) ***");
+ "ph.generalized_affine_image(B, GREATER_OR_EQUAL,"
+ " A+2, -2) ***");
return ok;
}
@@ -130,8 +130,8 @@ test04() {
bool ok = (ph == ph2);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, LESS_OR_EQUAL,"
- " A-B+2, -3) ***");
+ "ph.generalized_affine_image(B, LESS_OR_EQUAL,"
+ " A-B+2, -3) ***");
return ok;
}
@@ -157,7 +157,7 @@ test05() {
bool ok = (ph == ph2);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_image(B, LESS_THAN, B+2) ***");
+ "ph.generalized_affine_image(B, LESS_THAN, B+2) ***");
return ok;
}
@@ -181,8 +181,8 @@ test06() {
bool ok = (ph == ph2);
print_generators(ph,
- "*** after ph.generalized_affine_image"
- "(A, EQUAL, A + 2) ***");
+ "*** after ph.generalized_affine_image"
+ "(A, EQUAL, A + 2) ***");
return ok;
}
@@ -204,14 +204,14 @@ test07() {
ph.generalized_affine_image(A + B, GREATER_OR_EQUAL, 2*A - B + 2);
ph2.generalized_affine_image(-3*(A + B),
- LESS_OR_EQUAL,
- -3*(2*A - B + 2));
+ LESS_OR_EQUAL,
+ -3*(2*A - B + 2));
bool ok = (ph == ph2);
print_generators(ph,
- "*** after ph.generalized_affine_image"
- "(A + B, GREATER_OR_EQUAL, 2*A - B + 2) ***");
+ "*** after ph.generalized_affine_image"
+ "(A + B, GREATER_OR_EQUAL, 2*A - B + 2) ***");
return ok;
}
@@ -238,9 +238,9 @@ test08() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(B, GREATER_THAN, A + B + 1) ***");
+ "(B, GREATER_THAN, A + B + 1) ***");
print_generators(ph, "*** after ph.generalized_affine_image"
- "(B, GREATER_THAN, A + B + 1) ***");
+ "(B, GREATER_THAN, A + B + 1) ***");
return ok;
}
@@ -265,7 +265,7 @@ test09() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(Linear_Expression(2), EQUAL, A + B) ***");
+ "(Linear_Expression(2), EQUAL, A + B) ***");
return ok;
}
@@ -284,16 +284,16 @@ test10() {
print_constraints(ph, "*** ph ***");
ph.generalized_affine_image(Linear_Expression(2),
- GREATER_OR_EQUAL,
- A + B);
+ GREATER_OR_EQUAL,
+ A + B);
known_result.add_constraint(2 >= A + B);
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(Linear_Expression(2), GREATER_OR_EQUAL, A + B)"
- "***");
+ "(Linear_Expression(2), GREATER_OR_EQUAL, A + B)"
+ "***");
return ok;
}
@@ -317,7 +317,7 @@ test11() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(Linear_Expression(2), LESS_OR_EQUAL, A + B) ***");
+ "(Linear_Expression(2), LESS_OR_EQUAL, A + B) ***");
return ok;
}
@@ -342,7 +342,7 @@ test12() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(Linear_Expression(2), GREATER_THAN, A + B) ***");
+ "(Linear_Expression(2), GREATER_THAN, A + B) ***");
return ok;
}
@@ -367,7 +367,7 @@ test13() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(Linear_Expression(2), LESS_THAN, A + B) ***");
+ "(Linear_Expression(2), LESS_THAN, A + B) ***");
return ok;
}
@@ -393,9 +393,9 @@ test14() {
bool ok = (ph == known_result);
print_generators(ph, "*** after ph.generalized_affine_image"
- "(A - C, EQUAL, B + 3) ***");
+ "(A - C, EQUAL, B + 3) ***");
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - C, EQUAL, B + 3) ***");
+ "(A - C, EQUAL, B + 3) ***");
return ok;
}
@@ -421,9 +421,9 @@ test15() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - C, GREATER_OR_EQUAL, B + 3) ***");
+ "(A - C, GREATER_OR_EQUAL, B + 3) ***");
print_generators(ph, "*** after ph.generalized_affine_image"
- "(A - C, GREATER_OR_EQUAL, B + 3) ***");
+ "(A - C, GREATER_OR_EQUAL, B + 3) ***");
return ok;
}
@@ -448,9 +448,9 @@ test16() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - C, LESS_OR_EQUAL, B - 1) ***");
+ "(A - C, LESS_OR_EQUAL, B - 1) ***");
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - C, LESS_OR_EQUAL, B - 1) ***");
+ "(A - C, LESS_OR_EQUAL, B - 1) ***");
return ok;
}
@@ -475,9 +475,9 @@ test17() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - 2*C, LESS_THAN, B - 1) ***");
+ "(A - 2*C, LESS_THAN, B - 1) ***");
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - 2*C, LESS_THAN, B - 1) ***");
+ "(A - 2*C, LESS_THAN, B - 1) ***");
return ok;
}
@@ -502,9 +502,9 @@ test18() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - 2*C + 3, GREATER_THAN, B - 1) ***");
+ "(A - 2*C + 3, GREATER_THAN, B - 1) ***");
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A - 2*C + 3, GREATER_THAN, B - 1) ***");
+ "(A - 2*C + 3, GREATER_THAN, B - 1) ***");
return ok;
}
@@ -530,7 +530,7 @@ test19() {
bool ok = (ph == known_result);
print_constraints(ph, "*** after ph.generalized_affine_image"
- "(A + B, LESS_THAN, 2*A - 3*B) ***");
+ "(A + B, LESS_THAN, 2*A - 3*B) ***");
return ok;
}
diff --git a/tests/Polyhedron/generalizedaffinepreimage1.cc b/tests/Polyhedron/generalizedaffinepreimage1.cc
index 744b336..527a2bb 100644
--- a/tests/Polyhedron/generalizedaffinepreimage1.cc
+++ b/tests/Polyhedron/generalizedaffinepreimage1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -47,8 +47,8 @@ test01() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_preimage"
- "(B, GREATER_OR_EQUAL, A+2) ***");
+ "ph.generalized_affine_preimage"
+ "(B, GREATER_OR_EQUAL, A+2) ***");
return ok;
}
@@ -76,7 +76,7 @@ test02() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_preimage"
+ "ph.generalized_affine_preimage"
"(B, GREATER_OR_EQUAL, A+2, -2) ***");
return ok;
@@ -109,8 +109,8 @@ test03() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_preimage"
- "(B, LESS_OR_EQUAL, A-B+2, -3) ***");
+ "ph.generalized_affine_preimage"
+ "(B, LESS_OR_EQUAL, A-B+2, -3) ***");
return ok;
}
diff --git a/tests/Polyhedron/generalizedaffinepreimage2.cc b/tests/Polyhedron/generalizedaffinepreimage2.cc
index e136e76..c4a12c9 100644
--- a/tests/Polyhedron/generalizedaffinepreimage2.cc
+++ b/tests/Polyhedron/generalizedaffinepreimage2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::generalized_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -52,7 +52,7 @@ test01() {
bool ok = (ph == known_result);
print_generators(ph, "*** ph after "
- "ph.generalized_affine_preimage(B, LESS_THAN, B+2) ***");
+ "ph.generalized_affine_preimage(B, LESS_THAN, B+2) ***");
return ok;
}
diff --git a/tests/Polyhedron/generators1.cc b/tests/Polyhedron/generators1.cc
index 8848f09..b03ac65 100644
--- a/tests/Polyhedron/generators1.cc
+++ b/tests/Polyhedron/generators1.cc
@@ -1,6 +1,6 @@
/* Test the construction of a polyhedron using generators.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -69,8 +69,8 @@ test02() {
C_Polyhedron ph(gs);
bool ok = (gs.space_dimension() == known_result.space_dimension()
- && gs.begin() == gs.end()
- && ph == known_result);
+ && gs.begin() == gs.end()
+ && ph == known_result);
print_generators(ph, "*** ph ***");
@@ -101,8 +101,8 @@ test03() {
known_result2.insert(point());
bool ok = (gs1.begin() == gs1.end()
- && C_Polyhedron(gs2) == C_Polyhedron(known_result2)
- && gs3.begin() == gs3.end());
+ && C_Polyhedron(gs2) == C_Polyhedron(known_result2)
+ && gs3.begin() == gs3.end());
print_generators(gs1, "*** gs1 ***");
print_generators(gs2, "*** gs2 ***");
diff --git a/tests/Polyhedron/geomcovers1.cc b/tests/Polyhedron/geomcovers1.cc
index e06aa05..3d55be0 100644
--- a/tests/Polyhedron/geomcovers1.cc
+++ b/tests/Polyhedron/geomcovers1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::geometrically_covers().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/h79widening1.cc b/tests/Polyhedron/h79widening1.cc
index ad44d9e..900d63e 100644
--- a/tests/Polyhedron/h79widening1.cc
+++ b/tests/Polyhedron/h79widening1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::H79_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/h79widening2.cc b/tests/Polyhedron/h79widening2.cc
index 0e97e13..3e667fc 100644
--- a/tests/Polyhedron/h79widening2.cc
+++ b/tests/Polyhedron/h79widening2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::H79_widening_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/hybrid.cc b/tests/Polyhedron/hybrid.cc
index 3dc0011..33e0cac 100644
--- a/tests/Polyhedron/hybrid.cc
+++ b/tests/Polyhedron/hybrid.cc
@@ -1,7 +1,7 @@
/* Test three examples for linear hybrid systems. These are based on
the examples in HalbwachsPR94 and HalbwachsPR97 papers.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -475,8 +475,8 @@ test03() {
ph_t2.H79_widening_assign(ph_t2_prev);
if (ph_idle == ph_idle_prev
- && ph_t1 == ph_t1_prev
- && ph_t2 == ph_t2_prev) {
+ && ph_t1 == ph_t1_prev
+ && ph_t2 == ph_t2_prev) {
NNC_Polyhedron known_result_idle(6);
known_result_idle.add_constraint(c2 >= 0);
@@ -775,8 +775,8 @@ test04() {
// The simpler test disjunct_covers() which is sufficient here
// should be more efficient than geometrically_covers().
if (disjunct_covers(ph_idle_prev, ph_idle)
- && disjunct_covers(ph_t1_prev, ph_t1)
- && disjunct_covers(ph_t2_prev, ph_t2)) {
+ && disjunct_covers(ph_t1_prev, ph_t1)
+ && disjunct_covers(ph_t2_prev, ph_t2)) {
// if (ph_idle_prev.geometrically_covers(ph_idle)
// && ph_t1_prev.geometrically_covers(ph_t1)
diff --git a/tests/Polyhedron/intersection1.cc b/tests/Polyhedron/intersection1.cc
index 26ba39d..cc8b8a1 100644
--- a/tests/Polyhedron/intersection1.cc
+++ b/tests/Polyhedron/intersection1.cc
@@ -1,6 +1,6 @@
/* Testing Polyhedron::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -119,12 +119,12 @@ test02() {
int num_points_below;
} ph_nv[]
= { {-1*(pyramid_height/4), 5, 0},
- { 0*(pyramid_height/4), 5, 4},
- { 1*(pyramid_height/4), 5, 8},
- { 2*(pyramid_height/4), 5, 8},
- { 3*(pyramid_height/4), 5, 8},
- { 4*(pyramid_height/4), 1, 5},
- { 5*(pyramid_height/4), 0, 5}
+ { 0*(pyramid_height/4), 5, 4},
+ { 1*(pyramid_height/4), 5, 8},
+ { 2*(pyramid_height/4), 5, 8},
+ { 3*(pyramid_height/4), 5, 8},
+ { 4*(pyramid_height/4), 1, 5},
+ { 5*(pyramid_height/4), 0, 5}
};
Generator_System gs;
@@ -149,7 +149,7 @@ test02() {
computed_result.intersection_assign(hyper_space_above);
if (ok
- && aux_test02(computed_result) != ph_nv[i].num_points_above)
+ && aux_test02(computed_result) != ph_nv[i].num_points_above)
ok = false;
print_constraints(hyper_space_above, "*** hyper_space_above ***");
@@ -163,7 +163,7 @@ test02() {
computed_result.intersection_assign(hyper_space_below);
if (ok
- && aux_test02(computed_result) != ph_nv[i].num_points_below)
+ && aux_test02(computed_result) != ph_nv[i].num_points_below)
ok = false;
print_constraints(hyper_space_below, "*** hyper_space_below ***");
@@ -232,7 +232,7 @@ test04() {
C_Polyhedron known_result(2, EMPTY);
bool ok = (computed_result1 == known_result
- && computed_result2 == known_result);
+ && computed_result2 == known_result);
print_constraints(computed_result1, "*** after intersection_assign ***");
print_constraints(computed_result2, "*** after intersection_assign ***");
@@ -308,9 +308,9 @@ test06() {
bool
aux_test07(C_Polyhedron& ph1,
- const C_Polyhedron& ph2,
- // Note intentional call-by-value!
- C_Polyhedron known_result) {
+ const C_Polyhedron& ph2,
+ // Note intentional call-by-value!
+ C_Polyhedron known_result) {
print_constraints(ph1, "*** ph1 ***");
print_constraints(ph2, "*** ph2 ***");
diff --git a/tests/Polyhedron/limitedbhrz03extrapolation1.cc b/tests/Polyhedron/limitedbhrz03extrapolation1.cc
index ae75aea..83e86bf 100644
--- a/tests/Polyhedron/limitedbhrz03extrapolation1.cc
+++ b/tests/Polyhedron/limitedbhrz03extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::limited_BHRZ03_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/limitedh79extrapolation1.cc b/tests/Polyhedron/limitedh79extrapolation1.cc
index 628978d..44b2b98 100644
--- a/tests/Polyhedron/limitedh79extrapolation1.cc
+++ b/tests/Polyhedron/limitedh79extrapolation1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::limited_H79_extrapolation_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -67,7 +67,7 @@ test01() {
known_result.add_constraint(x <= 5);
print_constraints(computed_result,
- "*** after limited_H79_extrapolation_assign ***");
+ "*** after limited_H79_extrapolation_assign ***");
return computed_result == known_result;
}
@@ -109,7 +109,7 @@ test02() {
known_result.add_generator(point(5*x + 5*y));
print_constraints(computed_result,
- "*** after limited_H79_extrapolation_assign ***");
+ "*** after limited_H79_extrapolation_assign ***");
return computed_result == known_result;
}
@@ -142,7 +142,7 @@ test03() {
C_Polyhedron known_result(cs);
print_constraints(computed_result,
- "*** after limited_H79_extrapolation_assign ***");
+ "*** after limited_H79_extrapolation_assign ***");
return computed_result == known_result;
}
@@ -173,8 +173,8 @@ test04() {
bool ok = (ph2 == known_result);
print_constraints(ph2,
- "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
- " ***");
+ "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
+ " ***");
return ok;
}
@@ -200,8 +200,8 @@ test05() {
bool ok = (ph2 == known_result);
print_constraints(ph2,
- "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
- " ***");
+ "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
+ " ***");
return ok;
}
@@ -225,8 +225,8 @@ test06() {
bool ok = (ph2 == known_result);
print_constraints(ph2,
- "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
- " ***");
+ "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
+ " ***");
return ok;
}
@@ -256,8 +256,8 @@ test07() {
bool ok = (ph2 == known_result);
print_constraints(ph2,
- "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
- " ***");
+ "*** after ph2.limited_H79_extrapolation_assign(ph1, cs)"
+ " ***");
return ok;
}
diff --git a/tests/Polyhedron/linearexpression1.cc b/tests/Polyhedron/linearexpression1.cc
index a87c807..a934216 100644
--- a/tests/Polyhedron/linearexpression1.cc
+++ b/tests/Polyhedron/linearexpression1.cc
@@ -1,6 +1,6 @@
/* Testing Linear_Expression.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/linearpartition1.cc b/tests/Polyhedron/linearpartition1.cc
index 71aad94..98b5e4d 100644
--- a/tests/Polyhedron/linearpartition1.cc
+++ b/tests/Polyhedron/linearpartition1.cc
@@ -1,6 +1,6 @@
/* Test linear_partition().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,9 +27,9 @@ namespace {
bool
aux_test01(const C_Polyhedron& p,
- const C_Polyhedron& q,
- const std::pair<C_Polyhedron,
- Pointset_Powerset<NNC_Polyhedron> >& partition) {
+ const C_Polyhedron& q,
+ const std::pair<C_Polyhedron,
+ Pointset_Powerset<NNC_Polyhedron> >& partition) {
const C_Polyhedron& r = partition.first;
// `r' must be a subset of or equal to `q'.
if (!q.contains(r))
@@ -50,7 +50,7 @@ aux_test01(const C_Polyhedron& p,
const NNC_Polyhedron& b = j->pointset();
// All elements of `s' must be pairwise disjoint.
if (!a.is_disjoint_from(b))
- return false;
+ return false;
}
the_union.upper_bound_assign(a);
}
@@ -100,9 +100,9 @@ test01() {
bool
aux_test02(const C_Polyhedron& p,
- const C_Polyhedron& q,
- const std::pair<C_Polyhedron,
- Pointset_Powerset<NNC_Polyhedron> >& partition) {
+ const C_Polyhedron& q,
+ const std::pair<C_Polyhedron,
+ Pointset_Powerset<NNC_Polyhedron> >& partition) {
const C_Polyhedron& r = partition.first;
// `r' must be a subset of or equal to `q'.
if (!q.contains(r))
@@ -123,7 +123,7 @@ aux_test02(const C_Polyhedron& p,
const NNC_Polyhedron& b = j->pointset();
// All elements of `s' must be pairwise disjoint.
if (!a.is_disjoint_from(b))
- return false;
+ return false;
}
the_union.upper_bound_assign(a);
}
@@ -173,9 +173,9 @@ test02() {
bool
aux_test03(const C_Polyhedron& p,
- const C_Polyhedron& q,
- const std::pair<C_Polyhedron,
- Pointset_Powerset<NNC_Polyhedron> >& partition) {
+ const C_Polyhedron& q,
+ const std::pair<C_Polyhedron,
+ Pointset_Powerset<NNC_Polyhedron> >& partition) {
const C_Polyhedron& r = partition.first;
// `r' must be a subset of or equal to `q'.
if (!q.contains(r))
@@ -196,7 +196,7 @@ aux_test03(const C_Polyhedron& p,
const NNC_Polyhedron& b = j->pointset();
// All elements of `s' must be pairwise disjoint.
if (!a.is_disjoint_from(b))
- return false;
+ return false;
}
the_union.upper_bound_assign(a);
}
diff --git a/tests/Polyhedron/linearsystem1.cc b/tests/Polyhedron/linearsystem1.cc
index 49aa01c..6e1ca90 100644
--- a/tests/Polyhedron/linearsystem1.cc
+++ b/tests/Polyhedron/linearsystem1.cc
@@ -1,6 +1,6 @@
/* Test some functionality of class Linear_System.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -57,16 +57,16 @@ test01() {
// The following workaround is to avoid trivial positive overflows
// when using bounded coefficients.
if (std::numeric_limits<Coefficient>::is_bounded
- && c == std::numeric_limits<Coefficient>::min())
- // Here the randomly generated coefficients is equal to the
- // allowed minimum value for a signed integer data type that
- // might adopt the 2's complement representation
- // (e.g., -128 for 8 bit signed integers).
- // Thus, it would cause a positive overflow during the normalization
- // of the Linear_Row, because the GCD computation will try to negate
- // such a coefficient.
- // To avoid the problem, we simply increment the coefficient.
- ++c;
+ && c == std::numeric_limits<Coefficient>::min())
+ // Here the randomly generated coefficients is equal to the
+ // allowed minimum value for a signed integer data type that
+ // might adopt the 2's complement representation
+ // (e.g., -128 for 8 bit signed integers).
+ // Thus, it would cause a positive overflow during the normalization
+ // of the Linear_Row, because the GCD computation will try to negate
+ // such a coefficient.
+ // To avoid the problem, we simply increment the coefficient.
+ ++c;
if (col == 0)
e += c;
@@ -92,7 +92,7 @@ test01() {
continue;
nout << "Linear_System<Constraint>::ascii_dump/load test failed." << endl
- << "m1.ascii_dump() gives" << endl;
+ << "m1.ascii_dump() gives" << endl;
ls1.ascii_dump(nout);
nout << "m2.ascii_dump() gives" << endl;
ls2.ascii_dump(nout);
diff --git a/tests/Polyhedron/mapspacedims1.cc b/tests/Polyhedron/mapspacedims1.cc
index 2b101f0..4d9ddea 100644
--- a/tests/Polyhedron/mapspacedims1.cc
+++ b/tests/Polyhedron/mapspacedims1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::map_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/matrix1.cc b/tests/Polyhedron/matrix1.cc
index 730c779..823bf59 100644
--- a/tests/Polyhedron/matrix1.cc
+++ b/tests/Polyhedron/matrix1.cc
@@ -1,6 +1,6 @@
/* Test some functionality of class Matrix.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -41,8 +41,8 @@ test01() {
for (dimension_type num_cols = 0; num_cols <= 3; ++num_cols) {
Matrix<Dense_Row> m1(num_rows, num_cols);
for (dimension_type row = 0; row < num_rows; ++row)
- for (dimension_type col = 0; col < num_cols; ++col)
- r.get(m1[row][col], 0);
+ for (dimension_type col = 0; col < num_cols; ++col)
+ r.get(m1[row][col], 0);
std::fstream f;
open(f, data_file, std::ios_base::out);
@@ -56,13 +56,13 @@ test01() {
if (m1 != m2) {
- nout << "Matrix<Dense_Row>::ascii_dump/load test failed." << endl
- << "m1.ascii_dump() gives" << endl;
- m1.ascii_dump(nout);
- nout << "m2.ascii_dump() gives" << endl;
- m2.ascii_dump(nout);
+ nout << "Matrix<Dense_Row>::ascii_dump/load test failed." << endl
+ << "m1.ascii_dump() gives" << endl;
+ m1.ascii_dump(nout);
+ nout << "m2.ascii_dump() gives" << endl;
+ m2.ascii_dump(nout);
- return false;
+ return false;
}
}
return true;
diff --git a/tests/Polyhedron/max_min1.cc b/tests/Polyhedron/max_min1.cc
index 64e5008..572d3ce 100644
--- a/tests/Polyhedron/max_min1.cc
+++ b/tests/Polyhedron/max_min1.cc
@@ -1,7 +1,7 @@
/* Test Polyhedron::maximize(const Linear_Expression&, ...)
and Polyhedron::minimize(const Linear_Expression&, ...).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/maxspacedim1.cc b/tests/Polyhedron/maxspacedim1.cc
index 646a51c..3842a8b 100644
--- a/tests/Polyhedron/maxspacedim1.cc
+++ b/tests/Polyhedron/maxspacedim1.cc
@@ -1,6 +1,6 @@
/* Test the *::max_space_dimension() methods.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -23,10 +23,10 @@ site: http://bugseng.com/products/ppl/ . */
#include "ppl_test.hh"
-#define test01_DO_CLASS(T) \
- nout << #T "::max_space_dimension() = " \
- << T::max_space_dimension() << endl; \
- if (T::max_space_dimension() < max_space_dimension()) \
+#define test01_DO_CLASS(T) \
+ nout << #T "::max_space_dimension() = " \
+ << T::max_space_dimension() << endl; \
+ if (T::max_space_dimension() < max_space_dimension()) \
return false
#if PPL_SUPPORTED_FLOAT
@@ -45,21 +45,21 @@ site: http://bugseng.com/products/ppl/ . */
#define test01_DO_WRD_LONG_DOUBLE(WRD)
#endif
-#define test01_DO_WRD(WRD) \
- test01_DO_CLASS(WRD<int8_t>); \
- test01_DO_CLASS(WRD<int16_t>); \
- test01_DO_CLASS(WRD<int32_t>); \
- test01_DO_CLASS(WRD<int64_t>); \
- test01_DO_CLASS(WRD<mpz_class>); \
- test01_DO_CLASS(WRD<mpq_class>); \
+#define test01_DO_WRD(WRD) \
+ test01_DO_CLASS(WRD<int8_t>); \
+ test01_DO_CLASS(WRD<int16_t>); \
+ test01_DO_CLASS(WRD<int32_t>); \
+ test01_DO_CLASS(WRD<int64_t>); \
+ test01_DO_CLASS(WRD<mpz_class>); \
+ test01_DO_CLASS(WRD<mpq_class>); \
test01_DO_WRD_FLOAT(WRD); \
test01_DO_WRD_DOUBLE(WRD); \
test01_DO_WRD_LONG_DOUBLE(WRD)
-#define test01_DO_CONSTR_CLASS(CONSTR, T) \
- nout << #CONSTR "<" #T ">::max_space_dimension() = " \
- << CONSTR<T>::max_space_dimension() << endl; \
- if (CONSTR<T>::max_space_dimension() < max_space_dimension()) \
+#define test01_DO_CONSTR_CLASS(CONSTR, T) \
+ nout << #CONSTR "<" #T ">::max_space_dimension() = " \
+ << CONSTR<T>::max_space_dimension() << endl; \
+ if (CONSTR<T>::max_space_dimension() < max_space_dimension()) \
return false
#if PPL_SUPPORTED_FLOAT
@@ -81,13 +81,13 @@ site: http://bugseng.com/products/ppl/ . */
#define test01_DO_CONSTR_WRD_LONG_DOUBLE(CONSTR, WRD)
#endif
-#define test01_DO_CONSTR_WRD(CONSTR, WRD) \
- test01_DO_CONSTR_CLASS(CONSTR, WRD<int8_t>); \
- test01_DO_CONSTR_CLASS(CONSTR, WRD<int16_t>); \
- test01_DO_CONSTR_CLASS(CONSTR, WRD<int32_t>); \
- test01_DO_CONSTR_CLASS(CONSTR, WRD<int64_t>); \
- test01_DO_CONSTR_CLASS(CONSTR, WRD<mpz_class>); \
- test01_DO_CONSTR_CLASS(CONSTR, WRD<mpq_class>); \
+#define test01_DO_CONSTR_WRD(CONSTR, WRD) \
+ test01_DO_CONSTR_CLASS(CONSTR, WRD<int8_t>); \
+ test01_DO_CONSTR_CLASS(CONSTR, WRD<int16_t>); \
+ test01_DO_CONSTR_CLASS(CONSTR, WRD<int32_t>); \
+ test01_DO_CONSTR_CLASS(CONSTR, WRD<int64_t>); \
+ test01_DO_CONSTR_CLASS(CONSTR, WRD<mpz_class>); \
+ test01_DO_CONSTR_CLASS(CONSTR, WRD<mpq_class>); \
test01_DO_CONSTR_WRD_FLOAT(CONSTR, WRD); \
test01_DO_CONSTR_WRD_DOUBLE(CONSTR, WRD); \
test01_DO_CONSTR_WRD_LONG_DOUBLE(CONSTR, WRD)
diff --git a/tests/Polyhedron/mc91.cc b/tests/Polyhedron/mc91.cc
index d5b5974..ecb7e95 100644
--- a/tests/Polyhedron/mc91.cc
+++ b/tests/Polyhedron/mc91.cc
@@ -1,6 +1,6 @@
/* Test the Pointset_Powerset construction with McCarthy's 91 function.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/membytes1.cc b/tests/Polyhedron/membytes1.cc
index 32494a2..5cdcd7b 100644
--- a/tests/Polyhedron/membytes1.cc
+++ b/tests/Polyhedron/membytes1.cc
@@ -1,6 +1,6 @@
/* Test the total_memory_in_bytes() and external_memory_in_bytes() methods.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -182,7 +182,7 @@ test01() {
C_Polyhedron qh(3, EMPTY);
unsigned n = 0;
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i) {
+ gs_end = gs.end(); i != gs_end; ++i) {
add_generator(qh, *i);
if (++n % 4 == 0)
minimize(qh);
@@ -197,7 +197,7 @@ test01() {
memory_size_type cs_elements_size = 0;
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
cs_elements_size += i->total_memory_in_bytes();
nout << "Sum of sizes of contained constraints = " << cs_elements_size
@@ -210,7 +210,7 @@ test01() {
memory_size_type gs_elements_size = 0;
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
gs_elements_size += i->total_memory_in_bytes();
nout << "Sum of sizes of contained generators = " << gs_elements_size
diff --git a/tests/Polyhedron/memory1.cc b/tests/Polyhedron/memory1.cc
index fadae8d..c8f1e72 100644
--- a/tests/Polyhedron/memory1.cc
+++ b/tests/Polyhedron/memory1.cc
@@ -1,6 +1,6 @@
/* Test the allocation error recovery facility of the library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -83,16 +83,16 @@ compute_open_hypercube_generators(dimension_type dimension) {
}
#define LIMIT(WHAT) \
- do { \
- if (getrlimit(WHAT, &t) != 0) { \
- std::cerr << "getrlimit failed: " << strerror(errno) << endl; \
- exit(1); \
- } \
- t.rlim_cur = bytes; \
- if (setrlimit(WHAT, &t) != 0) { \
- std::cerr << "setrlimit failed: " << strerror(errno) << endl; \
- exit(1); \
- } \
+ do { \
+ if (getrlimit(WHAT, &t) != 0) { \
+ std::cerr << "getrlimit failed: " << strerror(errno) << endl; \
+ exit(1); \
+ } \
+ t.rlim_cur = bytes; \
+ if (setrlimit(WHAT, &t) != 0) { \
+ std::cerr << "setrlimit failed: " << strerror(errno) << endl; \
+ exit(1); \
+ } \
} while (0)
void
@@ -118,7 +118,7 @@ limit_memory(unsigned long bytes) {
bool
guarded_compute_open_hypercube_generators(dimension_type dimension,
- unsigned long max_memory_in_bytes) {
+ unsigned long max_memory_in_bytes) {
try {
limit_memory(max_memory_in_bytes);
compute_open_hypercube_generators(dimension);
diff --git a/tests/Polyhedron/memory2.cc b/tests/Polyhedron/memory2.cc
index 6c1ccdb..fcd2c84 100644
--- a/tests/Polyhedron/memory2.cc
+++ b/tests/Polyhedron/memory2.cc
@@ -1,6 +1,6 @@
/* Test the allocation error recovery facility of the library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -49,7 +49,7 @@ unsigned long realloc_threshold = 0;
void
reset_allocators(unsigned long new_malloc_threshold,
- unsigned long new_realloc_threshold) {
+ unsigned long new_realloc_threshold) {
mallocated = reallocated = freed = 0;
malloc_threshold = new_malloc_threshold;
realloc_threshold = new_realloc_threshold;
@@ -59,13 +59,13 @@ void
fail_if_leaked() {
if (mallocated != freed) {
nout << "Memory leak: allocated " << mallocated
- << ", freed " << freed
- << endl;
+ << ", freed " << freed
+ << endl;
exit(1);
}
else {
nout << "allocated = freed = " << mallocated
- << endl;
+ << endl;
}
}
@@ -187,7 +187,7 @@ test_every_allocation(const dimension_type d, const Threshold threshold) {
C_Polyhedron ph(d);
ph.add_constraint(Variable(0) == ULONG_MAX);
for (dimension_type i = 1; i < d; ++i)
- ph.add_constraint(Variable(i) == ULONG_MAX*Variable(i-1));
+ ph.add_constraint(Variable(i) == ULONG_MAX*Variable(i-1));
(void) ph.minimized_generators();
}
@@ -224,11 +224,11 @@ test3() {
} // namespace
-#define IGNORE_OVERFLOWS(fun) \
- try { \
- fun; \
- } \
- catch (const std::overflow_error&) { \
+#define IGNORE_OVERFLOWS(fun) \
+ try { \
+ fun; \
+ } \
+ catch (const std::overflow_error&) { \
}
extern "C" void
diff --git a/tests/Polyhedron/minconstraints1.cc b/tests/Polyhedron/minconstraints1.cc
index 7f8092f..ad02887 100644
--- a/tests/Polyhedron/minconstraints1.cc
+++ b/tests/Polyhedron/minconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::minimized_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/minconstraints2.cc b/tests/Polyhedron/minconstraints2.cc
index 552dd02..fecb201 100644
--- a/tests/Polyhedron/minconstraints2.cc
+++ b/tests/Polyhedron/minconstraints2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::minimized_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -37,7 +37,7 @@ test01() {
const Constraint_System& min_cs = ph2.minimized_constraints();
bool ok = (ph1 == ph2
- && min_cs.begin() == min_cs.end());
+ && min_cs.begin() == min_cs.end());
print_constraints(ph1, "*** ph1 ***");
print_constraints(cs, "*** cs ***");
diff --git a/tests/Polyhedron/mingenerators1.cc b/tests/Polyhedron/mingenerators1.cc
index c1e316a..ad6ebb8 100644
--- a/tests/Polyhedron/mingenerators1.cc
+++ b/tests/Polyhedron/mingenerators1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::minimized_generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/mingenerators2.cc b/tests/Polyhedron/mingenerators2.cc
index c86ec5c..8dbb799 100644
--- a/tests/Polyhedron/mingenerators2.cc
+++ b/tests/Polyhedron/mingenerators2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::minimized_generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/nncminimize1.cc b/tests/Polyhedron/nncminimize1.cc
index a988454..6b8da8c 100644
--- a/tests/Polyhedron/nncminimize1.cc
+++ b/tests/Polyhedron/nncminimize1.cc
@@ -1,6 +1,6 @@
/* Test minimization of NNC polyhedra.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -265,9 +265,9 @@ test04() {
print_generators(ph.generators(), "*** ph generators ***");
print_constraints(known_result.constraints(),
- "*** known_result constraints ***");
+ "*** known_result constraints ***");
print_generators(known_result.generators(),
- "*** known_result generators ***");
+ "*** known_result generators ***");
return ok && ok1;
}
@@ -301,7 +301,7 @@ test05() {
const Constraint_System& ph1_min_cs = ph1.minimized_constraints();
const int num_minimized_constraints = std::distance(ph1_min_cs.begin(),
- ph1_min_cs.end());
+ ph1_min_cs.end());
print_constraints(ph1, "*** after ph1.minimized_constraints() ***");
nout << "num_constraints = " << num_constraints << endl;
@@ -310,7 +310,7 @@ test05() {
int num_points = 0;
for (Generator_System::const_iterator i = copy_ph1.generators().begin(),
- gs_end = copy_ph1.generators().end(); i != gs_end; ++i)
+ gs_end = copy_ph1.generators().end(); i != gs_end; ++i)
if ((*i).is_point() || (*i).is_closure_point())
++num_points;
@@ -318,15 +318,15 @@ test05() {
int num_minimized_points = 0;
for (Generator_System::const_iterator i = copy_ph1.generators().begin(),
- gs_end = copy_ph1.generators().end(); i != gs_end; ++i)
+ gs_end = copy_ph1.generators().end(); i != gs_end; ++i)
if ((*i).is_point() || (*i).is_closure_point())
++num_minimized_points;
bool ok = (num_constraints == num_minimized_constraints + 1
- && num_points == num_minimized_points + 1);
+ && num_points == num_minimized_points + 1);
print_generators(copy_ph1,
- "*** after copy_ph1_minimized_generators() ***");
+ "*** after copy_ph1_minimized_generators() ***");
nout << "num_points = " << num_points << endl;
nout << "num_minimized_points = "
<< num_minimized_points << endl;
diff --git a/tests/Polyhedron/nncminimize2.cc b/tests/Polyhedron/nncminimize2.cc
index acffd11..e6cd0bc 100644
--- a/tests/Polyhedron/nncminimize2.cc
+++ b/tests/Polyhedron/nncminimize2.cc
@@ -1,6 +1,6 @@
/* Test NNC_Polyhedron::ph.minimized_generators().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/numberinput1.cc b/tests/Polyhedron/numberinput1.cc
index 086c822..890e322 100644
--- a/tests/Polyhedron/numberinput1.cc
+++ b/tests/Polyhedron/numberinput1.cc
@@ -1,6 +1,6 @@
/* Test number input.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -56,9 +56,9 @@ Test_Extended_Number_Policy::handle_result(Result r) {
bool
aux_test(std::string input_string,
- std::string expected_output,
- std::string expected_residual,
- Result expected_result) {
+ std::string expected_output,
+ std::string expected_residual,
+ Result expected_result) {
std::stringstream input_stream(input_string);
Checked_Number<mpq_class, Test_Extended_Number_Policy> value;
Result result = input(value, input_stream, ROUND_UP);
@@ -72,8 +72,8 @@ aux_test(std::string input_string,
std::string output = output_stream.str();
bool ok = (result == expected_result
- && residual == expected_residual
- && output == expected_output);
+ && residual == expected_residual
+ && output == expected_output);
nout << "input = \"" << input_string << "\""
<< endl
@@ -124,12 +124,12 @@ test03() {
&& aux_test("15", "15", "", V_EQ)
&& aux_test("34976098", "34976098", "", V_EQ)
&& aux_test("34976098349760983497609834976098",
- "34976098349760983497609834976098", "", V_EQ)
+ "34976098349760983497609834976098", "", V_EQ)
&& aux_test("3/-inf", "nan", "", V_CVT_STR_UNK)
&& aux_test("+77", "77", "", V_EQ)
&& aux_test("-77", "-77", "", V_EQ)
&& aux_test("-7777777777777777777777777",
- "-7777777777777777777777777", "", V_EQ)
+ "-7777777777777777777777777", "", V_EQ)
&& aux_test("-77 ", "-77", " ", V_EQ)
&& aux_test("-77 ", "-77", " ", V_EQ)
&& aux_test("-77ab", "-77", "ab", V_EQ)
@@ -143,8 +143,8 @@ test04() {
return aux_test("71.3", "713/10", "", V_EQ)
&& aux_test("0.123456", "1929/15625", "", V_EQ)
&& aux_test("12345678910111213141516.12345678910111213141516",
- "308641972752780328537903086419727527803285379/25000000000000000000000",
- "", V_EQ)
+ "308641972752780328537903086419727527803285379/25000000000000000000000",
+ "", V_EQ)
&& aux_test("0.123456 101", "1929/15625", " 101", V_EQ)
&& aux_test("0.123456 101", "1929/15625", " 101", V_EQ)
&& aux_test("0.123456 ", "1929/15625", " ", V_EQ)
@@ -162,8 +162,8 @@ test05() {
&& aux_test("15*^8", "1500000000", "", V_EQ)
&& aux_test("1*^009", "1000000000", "", V_EQ)
&& aux_test("15*^111",
- "15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
- "", V_EQ)
+ "15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+ "", V_EQ)
&& aux_test("151515e+1", "1515150", "", V_EQ)
&& aux_test("151515151515151515e+1", "1515151515151515150", "", V_EQ)
&& aux_test("9200e-2", "92", "", V_EQ)
@@ -231,14 +231,14 @@ test08() {
// Fraction and exponent.
&& aux_test("0x0.1*^3", "256", "", V_EQ)
&& aux_test("-0x29382a093589c501594f729e672567.2f09f342582b4598*^-2",
- "-493504168323155221903720496056512238754896365637429427/590295810358705651712",
- "", V_EQ)
+ "-493504168323155221903720496056512238754896365637429427/590295810358705651712",
+ "", V_EQ)
&& aux_test("-0x29382a093589c501594f729e672567.2f09f342582b4598*^-20",
- "-493504168323155221903720496056512238754896365637429427/2787593149816327892691964784081045188247552",
- "", V_EQ)
+ "-493504168323155221903720496056512238754896365637429427/2787593149816327892691964784081045188247552",
+ "", V_EQ)
&& aux_test("-0x29382a093589c501594f729e672567.2f09f342582b4598*^-20b",
- "-493504168323155221903720496056512238754896365637429427/2787593149816327892691964784081045188247552",
- "b", V_EQ)
+ "-493504168323155221903720496056512238754896365637429427/2787593149816327892691964784081045188247552",
+ "b", V_EQ)
&& aux_test("0x0.1*^3 -0", "256", " -0", V_EQ);
}
@@ -319,7 +319,7 @@ test13() {
// Hexadecimal.
aux_test("0xf/0x3", "5", "", V_EQ)
&& aux_test("3048227.23429e3/0x230abc43",
- "304822723429/58790611500", "", V_EQ)
+ "304822723429/58790611500", "", V_EQ)
&& aux_test("0xf/0x3g", "5", "g", V_EQ)
// Base.
&& aux_test("16^^f/4^^3.0e0*^3", "5", "*^3", V_EQ);
diff --git a/tests/Polyhedron/onepoint.cc b/tests/Polyhedron/onepoint.cc
index b233df1..3494347 100644
--- a/tests/Polyhedron/onepoint.cc
+++ b/tests/Polyhedron/onepoint.cc
@@ -1,6 +1,6 @@
/* Creation of a one-point polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/permute.cc b/tests/Polyhedron/permute.cc
index 255076a..b460bcc 100644
--- a/tests/Polyhedron/permute.cc
+++ b/tests/Polyhedron/permute.cc
@@ -1,6 +1,6 @@
/* An example of iteration to a post-fixpoint.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -27,8 +27,8 @@ namespace {
void
shift_rename_add(const C_Polyhedron& p,
- dimension_type offset,
- C_Polyhedron& q) {
+ dimension_type offset,
+ C_Polyhedron& q) {
C_Polyhedron r(offset);
r.concatenate_assign(p);
q.intersection_assign(r);
diff --git a/tests/Polyhedron/polydifference1.cc b/tests/Polyhedron/polydifference1.cc
index 0ea6ec2..f58ebdc 100644
--- a/tests/Polyhedron/polydifference1.cc
+++ b/tests/Polyhedron/polydifference1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::difference_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/polydifference2.cc b/tests/Polyhedron/polydifference2.cc
index 55d38aa..663d002 100644
--- a/tests/Polyhedron/polydifference2.cc
+++ b/tests/Polyhedron/polydifference2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::difference_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/polyhull1.cc b/tests/Polyhedron/polyhull1.cc
index be2c71e..0a62855 100644
--- a/tests/Polyhedron/polyhull1.cc
+++ b/tests/Polyhedron/polyhull1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::upper_bound_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -89,7 +89,7 @@ test02() {
bool ok = (computed_result1 == known_result);
print_generators(computed_result1,
- "*** after upper_bound_assign ***");
+ "*** after upper_bound_assign ***");
return ok;
}
@@ -131,8 +131,8 @@ test03() {
bool
aux_test04(C_Polyhedron& ph1, const C_Polyhedron& ph2,
- // Note intentional call-by-value!
- C_Polyhedron known_result) {
+ // Note intentional call-by-value!
+ C_Polyhedron known_result) {
print_constraints(ph1, "*** ph1 ***");
print_constraints(ph2, "*** ph2 ***");
@@ -190,7 +190,7 @@ test05() {
bool ok = (ph1 == known_result);
print_generators(ph1,
- "*** after ph1.upper_bound_assign(ph2) ***");
+ "*** after ph1.upper_bound_assign(ph2) ***");
return ok;
}
@@ -210,7 +210,7 @@ test06() {
bool ok = (ph1 == known_result);
print_generators(ph1,
- "*** after ph1.upper_bound_assign(ph2) ***");
+ "*** after ph1.upper_bound_assign(ph2) ***");
return ok;
}
@@ -246,7 +246,7 @@ test07() {
bool ok = (ph1 == known_result);
print_generators(ph1,
- "*** after ph1.upper_bound_assign(ph2) ***");
+ "*** after ph1.upper_bound_assign(ph2) ***");
return ok;
}
@@ -318,7 +318,7 @@ test10() {
print_generators(ph1, "*** after upper_bound_assign ***");
print_generators(copy_ph1,
- "*** after upper_bound_assign ***");
+ "*** after upper_bound_assign ***");
return ok;
}
@@ -352,7 +352,7 @@ test11() {
print_generators(ph1, "*** after upper_bound_assign ***");
print_generators(copy_ph1,
- "*** after upper_bound_assign ***");
+ "*** after upper_bound_assign ***");
return ok;
}
diff --git a/tests/Polyhedron/polyhull2.cc b/tests/Polyhedron/polyhull2.cc
index 3b2f681..75fed42 100644
--- a/tests/Polyhedron/polyhull2.cc
+++ b/tests/Polyhedron/polyhull2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::upper_bound_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/polyhullifexact1.cc b/tests/Polyhedron/polyhullifexact1.cc
index 12bcb2b..8d6064f 100644
--- a/tests/Polyhedron/polyhullifexact1.cc
+++ b/tests/Polyhedron/polyhullifexact1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -364,10 +364,10 @@ test10() {
cs.insert(X02 - Coefficient("3152519739159347")*X14 >= 0);
cs.insert(X06 + X07 + X08 + X09 - X14 - X15 == 0);
cs.insert(Coefficient("2386907802506363")*X06
- + Coefficient("2386907802506363")*X07
- + Coefficient("1080863910568919")*X08
- + Coefficient("7746191359077253")*X09
- - X16 == 0);
+ + Coefficient("2386907802506363")*X07
+ + Coefficient("1080863910568919")*X08
+ + Coefficient("7746191359077253")*X09
+ - X16 == 0);
cs.insert(-X06 + X10 >= -80);
cs.insert(-X07 + X11 >= 0);
cs.insert(-X08 + X12 >= 0);
@@ -377,30 +377,30 @@ test10() {
cs.insert(-X22 >= -500);
cs.insert(X23 - Coefficient("3152519739159347")*X36 >= 0);
cs.insert(Coefficient("7746191359077253")*X28
- + Coefficient("7746191359077253")*X29
- + Coefficient("3512807709348987")*X30
- + Coefficient("3332663724254167")*X31
- - X38 == 0);
+ + Coefficient("7746191359077253")*X29
+ + Coefficient("3512807709348987")*X30
+ + Coefficient("3332663724254167")*X31
+ - X38 == 0);
cs.insert(X28 + X29 + X30 + X31 - X36 + X37 + X39 == 44);
cs.insert(-X28 + X32 >= -500);
cs.insert(-X29 + X33 >= 0);
cs.insert(-X30 + X34 >= 0);
cs.insert(-X31 + X35 >= 0);
cs.insert(Coefficient("-2661627379775963")*X10
- - Coefficient("2686397177726501")*X11
- - Coefficient("5422333951354077")*X12
- - Coefficient("5469621747441467")*X13
- + X25
- - Coefficient("2466846695892189")*X32
- - Coefficient("4996743786567565")*X33
- - Coefficient("5064297780978123")*X34
- - Coefficient("641481471923585")*X35 >= 0);
+ - Coefficient("2686397177726501")*X11
+ - Coefficient("5422333951354077")*X12
+ - Coefficient("5469621747441467")*X13
+ + X25
+ - Coefficient("2466846695892189")*X32
+ - Coefficient("4996743786567565")*X33
+ - Coefficient("5064297780978123")*X34
+ - Coefficient("641481471923585")*X35 >= 0);
cs.insert(X03 - Coefficient("7854277750134145")*X22 >= 0);
cs.insert(X15
- - Coefficient("7854277750134145")*X28
- - Coefficient("7782220156096217")*X29
- - Coefficient("7782220156096217")*X30
- - Coefficient("7710162562058289")*X31 >= 0);
+ - Coefficient("7854277750134145")*X28
+ - Coefficient("7782220156096217")*X29
+ - Coefficient("7782220156096217")*X30
+ - Coefficient("7710162562058289")*X31 >= 0);
cs.insert(Coefficient("-5422333951354077")*X01 + X24 >= 0);
cs.insert(X21 >= 2);
cs.insert(-X16 - X38 >= -300);
diff --git a/tests/Polyhedron/polyhullifexact2.cc b/tests/Polyhedron/polyhullifexact2.cc
index 4c56434..d3d124b 100644
--- a/tests/Polyhedron/polyhullifexact2.cc
+++ b/tests/Polyhedron/polyhullifexact2.cc
@@ -1,6 +1,6 @@
/* Test NNC_Polyhedron::upper_bound_assign_if_exact().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/randphull1.cc b/tests/Polyhedron/randphull1.cc
index eb43cdd..554c64a 100644
--- a/tests/Polyhedron/randphull1.cc
+++ b/tests/Polyhedron/randphull1.cc
@@ -1,6 +1,6 @@
/* Compute poly-hulls of random polytopes.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -38,7 +38,7 @@ count_points(const C_Polyhedron& ph) {
int count = 0;
const Generator_System& gs = ph.minimized_generators();
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
if (i->type() == Generator::POINT)
++count;
return count;
@@ -95,8 +95,8 @@ namespace test02_namespace {
void
point_on_the_unit_n_sphere(unsigned n,
- const std::vector<float>& theta,
- std::vector<float>& coordinate) {
+ const std::vector<float>& theta,
+ std::vector<float>& coordinate) {
assert(n >= 2);
if (n == 2) {
@@ -114,9 +114,9 @@ point_on_the_unit_n_sphere(unsigned n,
void
random_polytope(C_Polyhedron& ph,
- unsigned dimension,
- unsigned num_points,
- float radius = 1.0) {
+ unsigned dimension,
+ unsigned num_points,
+ float radius = 1.0) {
assert(dimension >= 2);
// This setting and resetting of the rounding mode was prompted by
@@ -172,23 +172,23 @@ test02() {
const Constraint_System& cs = ph.minimized_constraints();
unsigned num_constraints = 0;
for (Constraint_System::const_iterator i = cs.begin(),
- cs_end = cs.end(); i != cs_end; ++i)
+ cs_end = cs.end(); i != cs_end; ++i)
++num_constraints;
// Count the number of generators.
const Generator_System& gs = ph.minimized_generators();
unsigned num_points = 0;
for (Generator_System::const_iterator i = gs.begin(),
- gs_end = gs.end(); i != gs_end; ++i)
+ gs_end = gs.end(); i != gs_end; ++i)
if (i->type() == Generator::POINT)
- ++num_points;
+ ++num_points;
else {
- using namespace Parma_Polyhedra_Library::IO_Operators;
- nout << "i->type() == " << i->type() << endl;
- return false;
+ using namespace Parma_Polyhedra_Library::IO_Operators;
+ nout << "i->type() == " << i->type() << endl;
+ return false;
}
nout << "dimension = " << dimension
- << ", points = " << num_points << " (" << dimension*dimension << ")"
- << ", constraints = " << num_constraints << endl;
+ << ", points = " << num_points << " (" << dimension*dimension << ")"
+ << ", constraints = " << num_constraints << endl;
}
return true;
}
diff --git a/tests/Polyhedron/refinewithcongruence1.cc b/tests/Polyhedron/refinewithcongruence1.cc
index 91cb8eb..7fa0ea7 100644
--- a/tests/Polyhedron/refinewithcongruence1.cc
+++ b/tests/Polyhedron/refinewithcongruence1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::refine_with_congruence().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -93,7 +93,7 @@ test03() {
bool ok = (ph == known_result);
print_constraints(ph,
- "*** after ph.refine_with_congruence(B >= 1) ***");
+ "*** after ph.refine_with_congruence(B >= 1) ***");
return ok;
}
diff --git a/tests/Polyhedron/refinewithcongruences1.cc b/tests/Polyhedron/refinewithcongruences1.cc
index 68905e9..fcb6925 100644
--- a/tests/Polyhedron/refinewithcongruences1.cc
+++ b/tests/Polyhedron/refinewithcongruences1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::refine_with_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -89,7 +89,7 @@ test03() {
bool ok = (computed_result == ph);
print_constraints(computed_result,
- "*** after refine_with_congruences ***");
+ "*** after refine_with_congruences ***");
return ok;
}
diff --git a/tests/Polyhedron/refinewithconstraint1.cc b/tests/Polyhedron/refinewithconstraint1.cc
index ba7a42b..95ce198 100644
--- a/tests/Polyhedron/refinewithconstraint1.cc
+++ b/tests/Polyhedron/refinewithconstraint1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::refine_with_constraint().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -39,7 +39,7 @@ test01() {
C_Polyhedron ph2(2);
for (Constraint_System::const_iterator i = ph1.constraints().begin(),
- cs_end = ph1.constraints().end(); i != cs_end; ++i)
+ cs_end = ph1.constraints().end(); i != cs_end; ++i)
ph2.refine_with_constraint(*i);
C_Polyhedron known_result(2);
@@ -96,7 +96,7 @@ test03() {
bool ok = (ph == known_result);
print_constraints(ph,
- "*** after ph.refine_with_constraint(B >= 1) ***");
+ "*** after ph.refine_with_constraint(B >= 1) ***");
return ok;
}
diff --git a/tests/Polyhedron/refinewithconstraints1.cc b/tests/Polyhedron/refinewithconstraints1.cc
index 879b4b3..cca5c02 100644
--- a/tests/Polyhedron/refinewithconstraints1.cc
+++ b/tests/Polyhedron/refinewithconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::refine_with_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -95,7 +95,7 @@ test03() {
bool ok = (computed_result == ph);
print_constraints(computed_result,
- "*** after refine_with_constraints ***");
+ "*** after refine_with_constraints ***");
return ok;
}
diff --git a/tests/Polyhedron/relations1.cc b/tests/Polyhedron/relations1.cc
index 6bc93c2..b733baa 100644
--- a/tests/Polyhedron/relations1.cc
+++ b/tests/Polyhedron/relations1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::relation_with(g) and Polyhedron::relation_with(c).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/relations2.cc b/tests/Polyhedron/relations2.cc
index b3e018f..f1c3cfa 100644
--- a/tests/Polyhedron/relations2.cc
+++ b/tests/Polyhedron/relations2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::relation_with(c) and Polyhedron::relation_with(g).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/relations3.cc b/tests/Polyhedron/relations3.cc
index a1ced07..8cd07a2 100644
--- a/tests/Polyhedron/relations3.cc
+++ b/tests/Polyhedron/relations3.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::relation_with(c) and Polyhedron::relation_with(g).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -124,7 +124,7 @@ test05() {
NNC_Polyhedron ph(gs);
Generator_System gs1;
for (Generator_System::const_iterator i = ph.generators().begin(),
- gs_end = ph.generators().end(); i != gs_end; ++i)
+ gs_end = ph.generators().end(); i != gs_end; ++i)
if (!(*i).is_closure_point())
gs.insert(*i);
C_Polyhedron ph1(gs);
@@ -154,7 +154,7 @@ test06() {
ph1.add_constraint(B == 1);
Generator_System gs1;
for (Generator_System::const_iterator i = ph.generators().begin(),
- gs_end = ph.generators().end(); i != gs_end; ++i)
+ gs_end = ph.generators().end(); i != gs_end; ++i)
if (!(*i).is_closure_point())
gs1.insert(*i);
ph1.add_generators(gs1);
diff --git a/tests/Polyhedron/removespacedims1.cc b/tests/Polyhedron/removespacedims1.cc
index 4e07eac..cc6c264 100644
--- a/tests/Polyhedron/removespacedims1.cc
+++ b/tests/Polyhedron/removespacedims1.cc
@@ -1,6 +1,6 @@
/* Removing space dimensions from a polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -233,7 +233,7 @@ test07() {
bool ok = (ph == known_result);
print_constraints(ph,
- "*** after ph.remove_space_dimensions(to_be_removed) ***");
+ "*** after ph.remove_space_dimensions(to_be_removed) ***");
return ok;
}
diff --git a/tests/Polyhedron/removespacedims2.cc b/tests/Polyhedron/removespacedims2.cc
index cd38d81..fea8601 100644
--- a/tests/Polyhedron/removespacedims2.cc
+++ b/tests/Polyhedron/removespacedims2.cc
@@ -1,6 +1,6 @@
/* Removing space dimensions form an NNC polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -55,7 +55,7 @@ test01() {
print_constraints(ph1, "*** after remove_higher_space_dimensions(1) ***");
print_constraints(ph2,
- "*** after remove_space_dimensions(to_be_removed) ***");
+ "*** after remove_space_dimensions(to_be_removed) ***");
return ok;
}
diff --git a/tests/Polyhedron/simplifyusingcontext1.cc b/tests/Polyhedron/simplifyusingcontext1.cc
index 822f047..f7b0496 100644
--- a/tests/Polyhedron/simplifyusingcontext1.cc
+++ b/tests/Polyhedron/simplifyusingcontext1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::simplify_using_context_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/smm1.cc b/tests/Polyhedron/smm1.cc
index 71bbb19..fa438ed 100644
--- a/tests/Polyhedron/smm1.cc
+++ b/tests/Polyhedron/smm1.cc
@@ -1,6 +1,6 @@
/* SEND + MORE = MONEY.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -46,18 +46,18 @@ less_than(C_Polyhedron& ph, Variable X, Variable Y) {
void
constraints(C_Polyhedron& ph,
- Variable S,
- Variable E,
- Variable N,
- Variable D,
- Variable M,
- Variable O,
- Variable R,
- Variable Y,
- int C1,
- int C2,
- int C3,
- int C4) {
+ Variable S,
+ Variable E,
+ Variable N,
+ Variable D,
+ Variable M,
+ Variable O,
+ Variable R,
+ Variable Y,
+ int C1,
+ int C2,
+ int C3,
+ int C4) {
ph.add_constraint(S >= 0);
ph.add_constraint(E >= 0);
ph.add_constraint(N >= 0);
@@ -109,39 +109,39 @@ test01() {
for (int C1 = 0; C1 <= 1; ++C1)
for (int C2 = 0; C2 <= 1; ++C2)
for (int C3 = 0; C3 <= 1; ++C3)
- for (int C4 = 0; C4 <= 1; ++C4) {
- C_Polyhedron ph(8);
- test01_namespace::constraints(ph,
- S, E, N, D, M, O, R, Y,
- C1, C2, C3, C4);
- if (ph.is_empty())
- continue;
-
- nout << "Solution constraints" << endl;
- const Constraint_System& cs = ph.constraints();
- std::copy(cs.begin(), cs.end(),
- std::ostream_iterator<Constraint>(nout, "\n"));
- nout << "Solution generators" << endl;
- const Generator_System& gs = ph.generators();
- std::copy(gs.begin(), gs.end(),
- std::ostream_iterator<Generator>(nout, "\n"));
- if (solution_found)
- return true;
- solution_found = true;
-
- C_Polyhedron expected(8);
- expected.add_constraint(S == 9);
- expected.add_constraint(E == 5);
- expected.add_constraint(N == 6);
- expected.add_constraint(D == 7);
- expected.add_constraint(M == 1);
- expected.add_constraint(O == 0);
- expected.add_constraint(R == 8);
- expected.add_constraint(Y == 2);
-
- if (ph != expected)
- return false;
- }
+ for (int C4 = 0; C4 <= 1; ++C4) {
+ C_Polyhedron ph(8);
+ test01_namespace::constraints(ph,
+ S, E, N, D, M, O, R, Y,
+ C1, C2, C3, C4);
+ if (ph.is_empty())
+ continue;
+
+ nout << "Solution constraints" << endl;
+ const Constraint_System& cs = ph.constraints();
+ std::copy(cs.begin(), cs.end(),
+ std::ostream_iterator<Constraint>(nout, "\n"));
+ nout << "Solution generators" << endl;
+ const Generator_System& gs = ph.generators();
+ std::copy(gs.begin(), gs.end(),
+ std::ostream_iterator<Generator>(nout, "\n"));
+ if (solution_found)
+ return true;
+ solution_found = true;
+
+ C_Polyhedron expected(8);
+ expected.add_constraint(S == 9);
+ expected.add_constraint(E == 5);
+ expected.add_constraint(N == 6);
+ expected.add_constraint(D == 7);
+ expected.add_constraint(M == 1);
+ expected.add_constraint(O == 0);
+ expected.add_constraint(R == 8);
+ expected.add_constraint(Y == 2);
+
+ if (ph != expected)
+ return false;
+ }
return true;
}
diff --git a/tests/Polyhedron/sparserow1.cc b/tests/Polyhedron/sparserow1.cc
index 5849b2a..744e846 100644
--- a/tests/Polyhedron/sparserow1.cc
+++ b/tests/Polyhedron/sparserow1.cc
@@ -1,6 +1,6 @@
/* Test the Sparse_Matrix class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/termination1.cc b/tests/Polyhedron/termination1.cc
index 4c8d68a..1e35daf 100644
--- a/tests/Polyhedron/termination1.cc
+++ b/tests/Polyhedron/termination1.cc
@@ -1,6 +1,6 @@
/* Test the termination analysis facilities of the PPL.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/termination2.cc b/tests/Polyhedron/termination2.cc
index dc333cf..05a8c7e 100644
--- a/tests/Polyhedron/termination2.cc
+++ b/tests/Polyhedron/termination2.cc
@@ -1,6 +1,6 @@
/* Test the termination analysis facilities of the PPL.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/timeelapse1.cc b/tests/Polyhedron/timeelapse1.cc
index e184cd1..588b14b 100644
--- a/tests/Polyhedron/timeelapse1.cc
+++ b/tests/Polyhedron/timeelapse1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::time_elapse_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/timeelapse2.cc b/tests/Polyhedron/timeelapse2.cc
index cdd926a..a0d8f32 100644
--- a/tests/Polyhedron/timeelapse2.cc
+++ b/tests/Polyhedron/timeelapse2.cc
@@ -1,6 +1,6 @@
/* Test time_elapse_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/topclosed1.cc b/tests/Polyhedron/topclosed1.cc
index 123b314..a2e6c79 100644
--- a/tests/Polyhedron/topclosed1.cc
+++ b/tests/Polyhedron/topclosed1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::is_topologically_closed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/topclosure1.cc b/tests/Polyhedron/topclosure1.cc
index 110f263..c41adf3 100644
--- a/tests/Polyhedron/topclosure1.cc
+++ b/tests/Polyhedron/topclosure1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::topological_closure_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/unconstrain1.cc b/tests/Polyhedron/unconstrain1.cc
index f827bcf..dfb04e0 100644
--- a/tests/Polyhedron/unconstrain1.cc
+++ b/tests/Polyhedron/unconstrain1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::unconstrain().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/universe1.cc b/tests/Polyhedron/universe1.cc
index 8e812b4..0a53180 100644
--- a/tests/Polyhedron/universe1.cc
+++ b/tests/Polyhedron/universe1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::is_universe().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/universe2.cc b/tests/Polyhedron/universe2.cc
index 980bedd..913f662 100644
--- a/tests/Polyhedron/universe2.cc
+++ b/tests/Polyhedron/universe2.cc
@@ -1,6 +1,6 @@
/* Test the function is_universe() for a NNC_polyhedron.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/variablesset1.cc b/tests/Polyhedron/variablesset1.cc
index 41b1f65..6c2881a 100644
--- a/tests/Polyhedron/variablesset1.cc
+++ b/tests/Polyhedron/variablesset1.cc
@@ -1,6 +1,6 @@
/* Test the Variables_Set class.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -103,23 +103,23 @@ test04() {
Variables_Set vs_intersection;
std::set_union(vs1.begin(), vs1.end(),
- vs2.begin(), vs2.end(),
- std::inserter(vs_union, vs_union.begin()));
+ vs2.begin(), vs2.end(),
+ std::inserter(vs_union, vs_union.begin()));
nout << "*** vs_union ***" << endl << vs_union << endl;
if (vs_union != Variables_Set(A, I))
return false;
std::set_difference(vs1.begin(), vs1.end(),
- vs2.begin(), vs2.end(),
- std::inserter(vs_difference, vs_difference.begin()));
+ vs2.begin(), vs2.end(),
+ std::inserter(vs_difference, vs_difference.begin()));
nout << "*** vs_difference ***" << endl << vs_difference << endl;
if (vs_difference != Variables_Set(A, B))
return false;
std::set_intersection(vs1.begin(), vs1.end(),
- vs2.begin(), vs2.end(),
- std::inserter(vs_intersection,
- vs_intersection.begin()));
+ vs2.begin(), vs2.end(),
+ std::inserter(vs_intersection,
+ vs_intersection.begin()));
nout << "*** vs_intersection ***" << endl << vs_intersection << endl;
if (vs_intersection != Variables_Set(C))
return false;
diff --git a/tests/Polyhedron/watchdog1.cc b/tests/Polyhedron/watchdog1.cc
index 21f067e..69f2f09 100644
--- a/tests/Polyhedron/watchdog1.cc
+++ b/tests/Polyhedron/watchdog1.cc
@@ -1,6 +1,6 @@
/* Test the timeout facility of the library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -38,7 +38,7 @@ compute_open_hypercube_generators(dimension_type dimension) {
}
class Timeout : virtual public std::exception,
- public Parma_Polyhedra_Library::Throwable {
+ public Parma_Polyhedra_Library::Throwable {
public:
const char* what() const throw() {
return "timeout in watchdog1.cc";
diff --git a/tests/Polyhedron/weightwatch1.cc b/tests/Polyhedron/weightwatch1.cc
index 28d903e..a5a3649 100644
--- a/tests/Polyhedron/weightwatch1.cc
+++ b/tests/Polyhedron/weightwatch1.cc
@@ -1,6 +1,6 @@
/* Test the weightwatch (i.e., deterministic timeout) facility of the library.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/wrap1.cc b/tests/Polyhedron/wrap1.cc
index 5b06914..d87faf2 100644
--- a/tests/Polyhedron/wrap1.cc
+++ b/tests/Polyhedron/wrap1.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::wrap_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/wrap2.cc b/tests/Polyhedron/wrap2.cc
index 16b123e..9e26ea6 100644
--- a/tests/Polyhedron/wrap2.cc
+++ b/tests/Polyhedron/wrap2.cc
@@ -1,6 +1,6 @@
/* Test Polyhedron::wrap_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/writeconsys1.cc b/tests/Polyhedron/writeconsys1.cc
index a679a92..1b15530 100644
--- a/tests/Polyhedron/writeconsys1.cc
+++ b/tests/Polyhedron/writeconsys1.cc
@@ -1,6 +1,6 @@
/* Test operator<<(std::ostream&, const Constraint_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/writegensys1.cc b/tests/Polyhedron/writegensys1.cc
index af772e4..24a3086 100644
--- a/tests/Polyhedron/writegensys1.cc
+++ b/tests/Polyhedron/writegensys1.cc
@@ -1,6 +1,6 @@
/* Test operator<<(std::ostream&, const Generator_System&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/writepolyhedron1.cc b/tests/Polyhedron/writepolyhedron1.cc
index 9c5ad10..039509c 100644
--- a/tests/Polyhedron/writepolyhedron1.cc
+++ b/tests/Polyhedron/writepolyhedron1.cc
@@ -1,6 +1,6 @@
/* Test operator<<(std::ostream&, const Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/writepolyhedron2.cc b/tests/Polyhedron/writepolyhedron2.cc
index dadde05..3022794 100644
--- a/tests/Polyhedron/writepolyhedron2.cc
+++ b/tests/Polyhedron/writepolyhedron2.cc
@@ -1,6 +1,6 @@
/* Test operator<<(std::ostream&, const Polyhedron&).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/writerelation1.cc b/tests/Polyhedron/writerelation1.cc
index bd98f50..5bc0158 100644
--- a/tests/Polyhedron/writerelation1.cc
+++ b/tests/Polyhedron/writerelation1.cc
@@ -1,7 +1,7 @@
/* Test operator<<(std::ostream& s, const Poly_Con_Relation& r)
and operator<<(std::ostream& s, const Poly_Gen_Relation& r).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Polyhedron/writevariable1.cc b/tests/Polyhedron/writevariable1.cc
index 0c2b5b5..79bd3ef 100644
--- a/tests/Polyhedron/writevariable1.cc
+++ b/tests/Polyhedron/writevariable1.cc
@@ -1,7 +1,7 @@
/* Test operator<<(std::ostream& s, Variable v)
and the related machinery.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -73,7 +73,7 @@ main() TRY {
write_variables();
// ... read back.
read_variables_and_check("A F K P U Z E1 J1 O1 T1 Y1 "
- "D2 I2 N2 S2 X2 C3 H3 M3 R3 W3 ");
+ "D2 I2 N2 S2 X2 C3 H3 M3 R3 W3 ");
// Save the default output function.
Variable::output_function_type* p_default_output_function
@@ -90,7 +90,7 @@ main() TRY {
write_variables();
// ... read back.
read_variables_and_check("x0 x5 x10 x15 x20 x25 x30 x35 x40 x45 "
- "x50 x55 x60 x65 x70 x75 x80 x85 x90 x95 x100 ");
+ "x50 x55 x60 x65 x70 x75 x80 x85 x90 x95 x100 ");
// Restore the default output function.
Variable::set_output_function(p_default_output_function);
diff --git a/tests/Powerset/Makefile.am b/tests/Powerset/Makefile.am
index d750ccd..16c6046 100644
--- a/tests/Powerset/Makefile.am
+++ b/tests/Powerset/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Powerset/Makefile.in b/tests/Powerset/Makefile.in
index 4320a1b..28ea95d 100644
--- a/tests/Powerset/Makefile.in
+++ b/tests/Powerset/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ .
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -76,7 +92,8 @@ TESTS = addcongruences1$(EXEEXT) addconstraints1$(EXEEXT) \
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1)
subdir = tests/Powerset
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -135,6 +152,7 @@ addcongruences1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
am_addconstraints1_OBJECTS = addconstraints1.$(OBJEXT)
addconstraints1_OBJECTS = $(am_addconstraints1_OBJECTS)
addconstraints1_LDADD = $(LDADD)
@@ -379,6 +397,18 @@ upperbound1_LDADD = $(LDADD)
upperbound1_DEPENDENCIES = $(top_builddir)/utils/libppl_utils.a \
$(top_builddir)/tests/libppl_tests.a \
$(top_builddir)/src/libppl.la
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -391,20 +421,16 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(addcongruences1_SOURCES) $(addconstraints1_SOURCES) \
$(affinedimension1_SOURCES) $(affineimage1_SOURCES) \
$(affinepreimage1_SOURCES) $(bounded1_SOURCES) \
@@ -441,10 +467,17 @@ DIST_SOURCES = $(addcongruences1_SOURCES) $(addconstraints1_SOURCES) \
$(relationwith1_SOURCES) $(simplifyusingcontext1_SOURCES) \
$(size1_SOURCES) $(spacedims1_SOURCES) $(universe1_SOURCES) \
$(upperbound1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -995,6 +1028,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -1008,7 +1055,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -1231,8 +1278,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Powerset/addcongruences1.cc b/tests/Powerset/addcongruences1.cc
index 5c557ef..5053689 100644
--- a/tests/Powerset/addcongruences1.cc
+++ b/tests/Powerset/addcongruences1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::add_congruence().
Pointset_Powerset<PH>::add_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/addconstraints1.cc b/tests/Powerset/addconstraints1.cc
index 5964347..664ad47 100644
--- a/tests/Powerset/addconstraints1.cc
+++ b/tests/Powerset/addconstraints1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::add_constraint().
Pointset_Powerset<PH>::add_constraints().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/affinedimension1.cc b/tests/Powerset/affinedimension1.cc
index e27d6aa..8c0d0c9 100644
--- a/tests/Powerset/affinedimension1.cc
+++ b/tests/Powerset/affinedimension1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::affine_dimension().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/affineimage1.cc b/tests/Powerset/affineimage1.cc
index d50e772..41d6db4 100644
--- a/tests/Powerset/affineimage1.cc
+++ b/tests/Powerset/affineimage1.cc
@@ -2,7 +2,7 @@
Pointset_Powerset<PH>::generalized_affine_image(),
Pointset_Powerset<PH>::bounded_affine_image().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/affinepreimage1.cc b/tests/Powerset/affinepreimage1.cc
index 6b7b490..04f4158 100644
--- a/tests/Powerset/affinepreimage1.cc
+++ b/tests/Powerset/affinepreimage1.cc
@@ -2,7 +2,7 @@
Pointset_Powerset<PH>::generalized_affine_preimage(),
Pointset_Powerset<PH>::bounded_affine_preimage().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/bounded1.cc b/tests/Powerset/bounded1.cc
index 28031e7..4cae2ad 100644
--- a/tests/Powerset/bounded1.cc
+++ b/tests/Powerset/bounded1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::is_bounded().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/bounds1.cc b/tests/Powerset/bounds1.cc
index c54a29f..2f09478 100644
--- a/tests/Powerset/bounds1.cc
+++ b/tests/Powerset/bounds1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::bounds_from_above(),
Pointset_Powerset<PH>::bounds_from_below().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/closed1.cc b/tests/Powerset/closed1.cc
index 910b24b..60cbfb3 100644
--- a/tests/Powerset/closed1.cc
+++ b/tests/Powerset/closed1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::is_topologically_closed().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/closure1.cc b/tests/Powerset/closure1.cc
index a373764..524debc 100644
--- a/tests/Powerset/closure1.cc
+++ b/tests/Powerset/closure1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::topological_closure_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/collapse1.cc b/tests/Powerset/collapse1.cc
index ff8ad59..fe1a92f 100644
--- a/tests/Powerset/collapse1.cc
+++ b/tests/Powerset/collapse1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::collapse().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/concatenate1.cc b/tests/Powerset/concatenate1.cc
index 188e9b3..235d98b 100644
--- a/tests/Powerset/concatenate1.cc
+++ b/tests/Powerset/concatenate1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::concatenate().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/contains1.cc b/tests/Powerset/contains1.cc
index 68e61e0..5c38033 100644
--- a/tests/Powerset/contains1.cc
+++ b/tests/Powerset/contains1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::contains(),
Pointset_Powerset<PH>::strictly_contains().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/containsintegerpoint1.cc b/tests/Powerset/containsintegerpoint1.cc
index f03e6f7..18dd0ef 100644
--- a/tests/Powerset/containsintegerpoint1.cc
+++ b/tests/Powerset/containsintegerpoint1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::contains_integer_point(),
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/difference1.cc b/tests/Powerset/difference1.cc
index 40031b8..543754a 100644
--- a/tests/Powerset/difference1.cc
+++ b/tests/Powerset/difference1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::difference_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -119,11 +119,11 @@ test03() {
// intersection will consist of objects of affine dimension at most 1.
bool ok1 = true;
for (Pointset_Powerset<C_Polyhedron>::const_iterator
- i = intersection.begin(), in_end = intersection.end();
+ i = intersection.begin(), in_end = intersection.end();
i != in_end; ++i)
if (i->pointset().affine_dimension() > 1) {
nout << "intersection contains " << i->pointset() << "," << endl
- << "which is of affine dimension greater than 1" << endl;
+ << "which is of affine dimension greater than 1" << endl;
ok1 = false;
}
diff --git a/tests/Powerset/discrete1.cc b/tests/Powerset/discrete1.cc
index 457ba7b..c46522a 100644
--- a/tests/Powerset/discrete1.cc
+++ b/tests/Powerset/discrete1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::is_discrete().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/disjoint1.cc b/tests/Powerset/disjoint1.cc
index f51c697..6c171ce 100644
--- a/tests/Powerset/disjoint1.cc
+++ b/tests/Powerset/disjoint1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::is_disjoint_from().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/disjunct1.cc b/tests/Powerset/disjunct1.cc
index 9ddf32e..bf01aa5 100644
--- a/tests/Powerset/disjunct1.cc
+++ b/tests/Powerset/disjunct1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::add_disjunct().
Pointset_Powerset<PH>::drop_disjunct().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/empty1.cc b/tests/Powerset/empty1.cc
index 63744b1..1a6bc7c 100644
--- a/tests/Powerset/empty1.cc
+++ b/tests/Powerset/empty1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::is_empty(),
Pointset_Powerset<PH>::empty().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/entails1.cc b/tests/Powerset/entails1.cc
index 0de60a5..837d5d8 100644
--- a/tests/Powerset/entails1.cc
+++ b/tests/Powerset/entails1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::definitely_entails().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/equals1.cc b/tests/Powerset/equals1.cc
index 3200197..6f66873 100644
--- a/tests/Powerset/equals1.cc
+++ b/tests/Powerset/equals1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::equals(),
Pointset_Powerset<PH>::geometrically_equals().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/frombdshape1.cc b/tests/Powerset/frombdshape1.cc
index 6f2804b..9104bdc 100644
--- a/tests/Powerset/frombdshape1.cc
+++ b/tests/Powerset/frombdshape1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::Pointset_Powerset(BD_Shape<T>),
Pointset_Powerset<PH>::Pointset_Powerset(Pointset_Powerset(BD_Shape<T>)).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/frombox1.cc b/tests/Powerset/frombox1.cc
index 96b9bae..aafdbdf 100644
--- a/tests/Powerset/frombox1.cc
+++ b/tests/Powerset/frombox1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::Pointset_Powerset(Box<T>),
Pointset_Powerset<PH>::Pointset_Powerset(Pointset_Powerset(Box<T>)).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/fromcongruences1.cc b/tests/Powerset/fromcongruences1.cc
index d1bf145..adf53e8 100644
--- a/tests/Powerset/fromcongruences1.cc
+++ b/tests/Powerset/fromcongruences1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::
Pointset_Powerset(Congruence_System).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/fromconstraints1.cc b/tests/Powerset/fromconstraints1.cc
index 5518696..c9800a7 100644
--- a/tests/Powerset/fromconstraints1.cc
+++ b/tests/Powerset/fromconstraints1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::Pointset_Powerset(Constraint_System).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -177,4 +177,6 @@ BEGIN_MAIN
DO_TEST(test08);
DO_TEST(test09);
DO_TEST(test10);
+ DO_TEST(test11);
+ DO_TEST(test12);
END_MAIN
diff --git a/tests/Powerset/fromgrid1.cc b/tests/Powerset/fromgrid1.cc
index 8711bb6..dbac760 100644
--- a/tests/Powerset/fromgrid1.cc
+++ b/tests/Powerset/fromgrid1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::Pointset_Powerset(Grid),
Pointset_Powerset<PH>::Pointset_Powerset(Pointset_Powerset(Grid)).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/fromoctagonalshape1.cc b/tests/Powerset/fromoctagonalshape1.cc
index 0e6c44a..6d3da9d 100644
--- a/tests/Powerset/fromoctagonalshape1.cc
+++ b/tests/Powerset/fromoctagonalshape1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::Pointset_Powerset(BD_Shape<T>),
Pointset_Powerset<PH>::Pointset_Powerset(Pointset_Powerset(BD_Shape<T>)).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/frompolyhedron1.cc b/tests/Powerset/frompolyhedron1.cc
index ded28d4..e663f0a 100644
--- a/tests/Powerset/frompolyhedron1.cc
+++ b/tests/Powerset/frompolyhedron1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::Pointset_Powerset(C_Polyhedron),
Pointset_Powerset<PH>::Pointset_Powerset(NNC_Polyhedron).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/fromspacedimension1.cc b/tests/Powerset/fromspacedimension1.cc
index f98575d..08656cc 100644
--- a/tests/Powerset/fromspacedimension1.cc
+++ b/tests/Powerset/fromspacedimension1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::
Pointset_Powerset(dimension_type, Degenerate_Element).
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/intersection1.cc b/tests/Powerset/intersection1.cc
index 09cf667..fff3652 100644
--- a/tests/Powerset/intersection1.cc
+++ b/tests/Powerset/intersection1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::intersection_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/maxmin1.cc b/tests/Powerset/maxmin1.cc
index a1ca637..a08d224 100644
--- a/tests/Powerset/maxmin1.cc
+++ b/tests/Powerset/maxmin1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::maximize().
Pointset_Powerset<PH>::minimize().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/meet1.cc b/tests/Powerset/meet1.cc
index 949bba3..981cf70 100644
--- a/tests/Powerset/meet1.cc
+++ b/tests/Powerset/meet1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::meet_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/membytes1.cc b/tests/Powerset/membytes1.cc
index 0a22665..ea127ef 100644
--- a/tests/Powerset/membytes1.cc
+++ b/tests/Powerset/membytes1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::total_memory_in_bytes().
Pointset_Powerset<PH>::external_memory_in_bytes().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/powerset1.cc b/tests/Powerset/powerset1.cc
index e534968..215bd3a 100644
--- a/tests/Powerset/powerset1.cc
+++ b/tests/Powerset/powerset1.cc
@@ -1,6 +1,6 @@
/* Test Powerset<D>.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -90,7 +90,7 @@ test01() {
// Constant reverse iterator.
count = 0;
for (PSET::const_reverse_iterator i = ps3.rbegin(),
- ps3_rend = ps3.rend(); i != ps3_rend; ++i)
+ ps3_rend = ps3.rend(); i != ps3_rend; ++i)
++count;
if (count != 1)
return false;
diff --git a/tests/Powerset/reduce1.cc b/tests/Powerset/reduce1.cc
index 225bd72..b424eea 100644
--- a/tests/Powerset/reduce1.cc
+++ b/tests/Powerset/reduce1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::omega_reduce().
Pointset_Powerset<PH>::pairwise_reduce().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/refinewith1.cc b/tests/Powerset/refinewith1.cc
index 43fa8a5..db886be 100644
--- a/tests/Powerset/refinewith1.cc
+++ b/tests/Powerset/refinewith1.cc
@@ -3,7 +3,7 @@
Pointset_Powerset<PH>::refine_with_congruence().
Pointset_Powerset<PH>::refine_with_congruences().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/relationwith1.cc b/tests/Powerset/relationwith1.cc
index 8e4693a..d587f85 100644
--- a/tests/Powerset/relationwith1.cc
+++ b/tests/Powerset/relationwith1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::relation_with().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/simplifyusingcontext1.cc b/tests/Powerset/simplifyusingcontext1.cc
index 42e6715..28af59e 100644
--- a/tests/Powerset/simplifyusingcontext1.cc
+++ b/tests/Powerset/simplifyusingcontext1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset::simplify_using_context_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/size1.cc b/tests/Powerset/size1.cc
index b1f592b..dad4020 100644
--- a/tests/Powerset/size1.cc
+++ b/tests/Powerset/size1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::size().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/spacedims1.cc b/tests/Powerset/spacedims1.cc
index dbc0d04..1bdef39 100644
--- a/tests/Powerset/spacedims1.cc
+++ b/tests/Powerset/spacedims1.cc
@@ -4,7 +4,7 @@
Pointset_Powerset<PH>::expand_space_dimensions(),
Pointset_Powerset<PH>::fold_space_dimensions().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/universe1.cc b/tests/Powerset/universe1.cc
index c4cb171..6f67d28 100644
--- a/tests/Powerset/universe1.cc
+++ b/tests/Powerset/universe1.cc
@@ -1,6 +1,6 @@
/* Test Pointset_Powerset<PH>::is_universe().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/Powerset/upperbound1.cc b/tests/Powerset/upperbound1.cc
index 912cb66..ecd9b86 100644
--- a/tests/Powerset/upperbound1.cc
+++ b/tests/Powerset/upperbound1.cc
@@ -1,7 +1,7 @@
/* Test Pointset_Powerset<PH>::upper_bound_assign(),
Pointset_Powerset<PH>::least_upper_bound_assign().
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/README b/tests/README
index 82826d1..efcc5f2 100644
--- a/tests/README
+++ b/tests/README
@@ -1,5 +1,5 @@
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
See below for the copying conditions.
How To Use the Test Programs (If You Really Want To Use Them)
@@ -86,7 +86,7 @@ f) Run `mytest' and enjoy!
--------
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This document describes the Parma Polyhedra Library (PPL).
diff --git a/tests/Random_Number_Generator.defs.hh b/tests/Random_Number_Generator.defs.hh
deleted file mode 100644
index 8514a58..0000000
--- a/tests/Random_Number_Generator.defs.hh
+++ /dev/null
@@ -1,47 +0,0 @@
-/* Random_Number_Generator class declaration.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Random_Number_Generator_defs_hh
-#define PPL_Random_Number_Generator_defs_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Random_Number_Generator {
-public:
- Random_Number_Generator();
-
- explicit Random_Number_Generator(unsigned long seed);
-
- template <typename T>
- void get(T& x, unsigned int info);
-
-private:
- gmp_randclass rand;
- unsigned int max_bits;
-};
-
-} // namespace Parma_Polyhedra_Library
-
-#include "Random_Number_Generator.inlines.hh"
-
-#endif // !defined(PPL_Random_Number_Generator_defs_hh)
diff --git a/tests/Random_Number_Generator.inlines.hh b/tests/Random_Number_Generator.inlines.hh
deleted file mode 100644
index 89f8513..0000000
--- a/tests/Random_Number_Generator.inlines.hh
+++ /dev/null
@@ -1,92 +0,0 @@
-/* Random_Number_Generator class implementation: inline functions.
- Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is part of the Parma Polyhedra Library (PPL).
-
-The PPL is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 3 of the License, or (at your
-option) any later version.
-
-The PPL is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with this program; if not, write to the Free Software Foundation,
-Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
-
-For the most up-to-date information see the Parma Polyhedra Library
-site: http://bugseng.com/products/ppl/ . */
-
-#ifndef PPL_Random_Number_Generator_inlines_hh
-#define PPL_Random_Number_Generator_inlines_hh 1
-
-#include <ctime>
-
-namespace Parma_Polyhedra_Library {
-
-namespace Implementation {
-namespace Random_Numbers {
-
-template <typename T>
-class Random_Number_Generator_Aux {
-public:
- Random_Number_Generator_Aux(unsigned int max_bits) {
- if (std::numeric_limits<T>::is_bounded) {
- assign_r(zmin, std::numeric_limits<T>::min(), ROUND_NOT_NEEDED);
- assign_r(zrange, std::numeric_limits<T>::max(), ROUND_NOT_NEEDED);
- zrange -= zmin;
- ++zrange;
- }
- else if (std::numeric_limits<T>::is_signed) {
- zmin = 1;
- zmin <<= (max_bits - 1);
- zmin = -zmin;
- }
- else {
- assign_r(zmin, std::numeric_limits<T>::min(), ROUND_NOT_NEEDED);
- }
- }
- mpz_class zmin;
- mpz_class zrange;
-};
-
-} // namespace Random_Numbers
-} // namespace Implementation
-
-inline
-Random_Number_Generator::Random_Number_Generator()
- : rand(gmp_randinit_default), max_bits(512) {
- // Seed the random number generator with the current time.
- rand.seed((unsigned long) time(0));
-}
-
-inline
-Random_Number_Generator::Random_Number_Generator(const unsigned long seed)
- : rand(gmp_randinit_default), max_bits(512) {
- // Seed the random number generator with the given value.
- rand.seed(seed);
-}
-
-template <typename T>
-inline void
-Random_Number_Generator::get(T& x, unsigned int) {
- using Implementation::Random_Numbers::Random_Number_Generator_Aux;
- static Random_Number_Generator_Aux<T> aux(max_bits);
- mpz_class n;
- if (std::numeric_limits<T>::is_bounded) {
- n = rand.get_z_range(aux.zrange);
- }
- else {
- n = rand.get_z_bits(max_bits);
- }
- n += aux.zmin;
- assign_r(x, n, ROUND_NOT_NEEDED);
-}
-
-} // namespace Parma_Polyhedra_Library
-
-#endif // !defined(PPL_Random_Number_Generator_inlines_hh)
diff --git a/tests/Random_Number_Generator.types.hh b/tests/Random_Number_Generator.types.hh
deleted file mode 100644
index 60b4b96..0000000
--- a/tests/Random_Number_Generator.types.hh
+++ /dev/null
@@ -1,22 +0,0 @@
-/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
-
-This file is free software; as a special exception the author gives
-unlimited permission to copy and/or distribute it, with or without
-modifications, as long as this notice is preserved.
-
-This program is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
-implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
-PURPOSE. */
-
-#ifndef PPL_Random_Number_Generator_types_hh
-#define PPL_Random_Number_Generator_types_hh 1
-
-namespace Parma_Polyhedra_Library {
-
-class Random_Number_Generator;
-
-}
-
-#endif // !defined(PPL_Random_Number_Generator_types_hh)
diff --git a/tests/Random_Number_Generator_defs.hh b/tests/Random_Number_Generator_defs.hh
new file mode 100644
index 0000000..6dd7f96
--- /dev/null
+++ b/tests/Random_Number_Generator_defs.hh
@@ -0,0 +1,47 @@
+/* Random_Number_Generator class declaration.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Random_Number_Generator_defs_hh
+#define PPL_Random_Number_Generator_defs_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Random_Number_Generator {
+public:
+ Random_Number_Generator();
+
+ explicit Random_Number_Generator(unsigned long seed);
+
+ template <typename T>
+ void get(T& x, unsigned int info);
+
+private:
+ gmp_randclass rand;
+ unsigned int max_bits;
+};
+
+} // namespace Parma_Polyhedra_Library
+
+#include "Random_Number_Generator_inlines.hh"
+
+#endif // !defined(PPL_Random_Number_Generator_defs_hh)
diff --git a/tests/Random_Number_Generator_inlines.hh b/tests/Random_Number_Generator_inlines.hh
new file mode 100644
index 0000000..885f2b0
--- /dev/null
+++ b/tests/Random_Number_Generator_inlines.hh
@@ -0,0 +1,92 @@
+/* Random_Number_Generator class implementation: inline functions.
+ Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is part of the Parma Polyhedra Library (PPL).
+
+The PPL is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3 of the License, or (at your
+option) any later version.
+
+The PPL is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with this program; if not, write to the Free Software Foundation,
+Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA.
+
+For the most up-to-date information see the Parma Polyhedra Library
+site: http://bugseng.com/products/ppl/ . */
+
+#ifndef PPL_Random_Number_Generator_inlines_hh
+#define PPL_Random_Number_Generator_inlines_hh 1
+
+#include <ctime>
+
+namespace Parma_Polyhedra_Library {
+
+namespace Implementation {
+namespace Random_Numbers {
+
+template <typename T>
+class Random_Number_Generator_Aux {
+public:
+ Random_Number_Generator_Aux(unsigned int max_bits) {
+ if (std::numeric_limits<T>::is_bounded) {
+ assign_r(zmin, std::numeric_limits<T>::min(), ROUND_NOT_NEEDED);
+ assign_r(zrange, std::numeric_limits<T>::max(), ROUND_NOT_NEEDED);
+ zrange -= zmin;
+ ++zrange;
+ }
+ else if (std::numeric_limits<T>::is_signed) {
+ zmin = 1;
+ zmin <<= (max_bits - 1);
+ zmin = -zmin;
+ }
+ else {
+ assign_r(zmin, std::numeric_limits<T>::min(), ROUND_NOT_NEEDED);
+ }
+ }
+ mpz_class zmin;
+ mpz_class zrange;
+};
+
+} // namespace Random_Numbers
+} // namespace Implementation
+
+inline
+Random_Number_Generator::Random_Number_Generator()
+ : rand(gmp_randinit_default), max_bits(512) {
+ // Seed the random number generator with the current time.
+ rand.seed((unsigned long) time(0));
+}
+
+inline
+Random_Number_Generator::Random_Number_Generator(const unsigned long seed)
+ : rand(gmp_randinit_default), max_bits(512) {
+ // Seed the random number generator with the given value.
+ rand.seed(seed);
+}
+
+template <typename T>
+inline void
+Random_Number_Generator::get(T& x, unsigned int) {
+ using Implementation::Random_Numbers::Random_Number_Generator_Aux;
+ static Random_Number_Generator_Aux<T> aux(max_bits);
+ mpz_class n;
+ if (std::numeric_limits<T>::is_bounded) {
+ n = rand.get_z_range(aux.zrange);
+ }
+ else {
+ n = rand.get_z_bits(max_bits);
+ }
+ n += aux.zmin;
+ assign_r(x, n, ROUND_NOT_NEEDED);
+}
+
+} // namespace Parma_Polyhedra_Library
+
+#endif // !defined(PPL_Random_Number_Generator_inlines_hh)
diff --git a/tests/Random_Number_Generator_types.hh b/tests/Random_Number_Generator_types.hh
new file mode 100644
index 0000000..45e2bf5
--- /dev/null
+++ b/tests/Random_Number_Generator_types.hh
@@ -0,0 +1,22 @@
+/* Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
+
+This file is free software; as a special exception the author gives
+unlimited permission to copy and/or distribute it, with or without
+modifications, as long as this notice is preserved.
+
+This program is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY, to the extent permitted by law; without even the
+implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+PURPOSE. */
+
+#ifndef PPL_Random_Number_Generator_types_hh
+#define PPL_Random_Number_Generator_types_hh 1
+
+namespace Parma_Polyhedra_Library {
+
+class Random_Number_Generator;
+
+}
+
+#endif // !defined(PPL_Random_Number_Generator_types_hh)
diff --git a/tests/Watchdog/Makefile.am b/tests/Watchdog/Makefile.am
index 7d0e822..dbb66ca 100644
--- a/tests/Watchdog/Makefile.am
+++ b/tests/Watchdog/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/tests/Watchdog/Makefile.in b/tests/Watchdog/Makefile.in
index 723f4c9..0e55033 100644
--- a/tests/Watchdog/Makefile.in
+++ b/tests/Watchdog/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -38,6 +37,23 @@
# For the most up-to-date information see the Parma Polyhedra Library
# site: http://bugseng.com/products/ppl/ . */
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ TESTS = watchdog1$(EXEEXT)
XFAIL_TESTS =
check_PROGRAMS = $(am__EXEEXT_1)
subdir = tests/Watchdog
-DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in \
+ $(top_srcdir)/depcomp $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -102,6 +119,19 @@ watchdog1_DEPENDENCIES = $(top_builddir)/tests/libppl_tests.a \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -114,26 +144,29 @@ LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
SOURCES = $(watchdog1_SOURCES)
DIST_SOURCES = $(watchdog1_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
-am__tty_colors = \
-red=; grn=; lgn=; blu=; std=
+am__tty_colors_dummy = \
+ mgn= red= grn= lgn= blu= brg= std=; \
+ am__color_tests=no
+am__tty_colors = $(am__tty_colors_dummy)
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
ACLOCAL = @ACLOCAL@
AMTAR = @AMTAR@
@@ -483,6 +516,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -496,7 +543,7 @@ check-TESTS: $(TESTS)
if test -f ./$$tst; then dir=./; \
elif test -f $$tst; then dir=; \
else dir="$(srcdir)/"; fi; \
- if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst $(AM_TESTS_FD_REDIRECT); then \
all=`expr $$all + 1`; \
case " $(XFAIL_TESTS) " in \
*[\ \ ]$$tst[\ \ ]*) \
@@ -719,8 +766,8 @@ uninstall-am:
.MAKE: check-am install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
- clean-checkPROGRAMS clean-generic clean-libtool ctags \
- distclean distclean-compile distclean-generic \
+ clean-checkPROGRAMS clean-generic clean-libtool cscopelist \
+ ctags distclean distclean-compile distclean-generic \
distclean-libtool distclean-tags distdir dvi dvi-am html \
html-am info info-am install install-am install-data \
install-data-am install-dvi install-dvi-am install-exec \
diff --git a/tests/Watchdog/watchdog1.cc b/tests/Watchdog/watchdog1.cc
index 33ad705..5738a38 100644
--- a/tests/Watchdog/watchdog1.cc
+++ b/tests/Watchdog/watchdog1.cc
@@ -1,6 +1,6 @@
/* Some simple tests for the basic functionality of PPL::Watchdog.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/files.cc b/tests/files.cc
index 8c542b9..2fe1004 100644
--- a/tests/files.cc
+++ b/tests/files.cc
@@ -1,6 +1,6 @@
/* Definition of simple helper functions to open and close files.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/files.hh b/tests/files.hh
index b716ed1..a9531f2 100644
--- a/tests/files.hh
+++ b/tests/files.hh
@@ -1,6 +1,6 @@
/* Declaration of simple helper functions to open and close files.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
diff --git a/tests/ppl_test.cc b/tests/ppl_test.cc
index d59ab16..ad9d6df 100644
--- a/tests/ppl_test.cc
+++ b/tests/ppl_test.cc
@@ -1,6 +1,6 @@
/* Implementation of utility functions used in test programs.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -52,7 +52,7 @@ void
fpe_sigaction(int sig, siginfo_t* sip, void*) {
if (sig != SIGFPE) {
std::cerr << "fpe_handler called on signal different from SIGFPE"
- << std::endl;
+ << std::endl;
exit(1);
}
const char* s = 0;
@@ -86,10 +86,10 @@ fpe_sigaction(int sig, siginfo_t* sip, void*) {
}
if (s != 0)
std::cerr << "SIGFPE caught (cause: " << s << ")"
- << std::endl;
+ << std::endl;
else {
std::cerr << "SIGFPE caught (unknown si_code " << sip->si_code << ")"
- << std::endl;
+ << std::endl;
#if defined(PPL_HAVE_FENV_H)
std::cerr << "Inquire with fetestexcept(): ";
#ifdef FE_INEXACT
@@ -124,7 +124,7 @@ void
fpe_handler(int sig) {
if (sig != SIGFPE) {
std::cerr << "fpe_handler called on signal different from SIGFPE"
- << std::endl;
+ << std::endl;
exit(1);
}
std::cerr << "SIGFPE caught"
@@ -180,7 +180,7 @@ set_handlers() {
#endif // !defined(PPL_HAVE_SIGINFO_T) || !defined(SA_SIGINFO)
if (sigaction(SIGFPE, &action, NULL) != 0) {
std::cerr << "sigaction() failed"
- << std::endl;
+ << std::endl;
abort();
}
#endif // PPL_HAVE_DECL_SIGACTION
@@ -204,7 +204,7 @@ check_distance(const Checked_Number<mpq_class, Extended_Number_Policy>& d,
else
nout << raw_value(d).get_d() << " (rounded towards zero)";
nout << ": should be at most " << max_d << "."
- << std::endl;
+ << std::endl;
return false;
}
else
@@ -213,7 +213,7 @@ check_distance(const Checked_Number<mpq_class, Extended_Number_Policy>& d,
bool
check_result(const BD_Shape<mpq_class>& computed_result,
- const BD_Shape<mpq_class>& known_result) {
+ const BD_Shape<mpq_class>& known_result) {
if (computed_result == known_result)
return true;
else {
@@ -230,7 +230,7 @@ check_result(const BD_Shape<mpq_class>& computed_result,
bool
check_result(const Rational_Box& computed_result,
- const Rational_Box& known_result) {
+ const Rational_Box& known_result) {
if (computed_result == known_result)
return true;
else {
@@ -327,7 +327,7 @@ std::ostream&
operator<<(std::ostream& s, const FCAIBVP& x) {
s << "{";
for (FCAIBVP::Set::const_iterator i = x.set.begin(),
- x_end = x.set.end(); i != x_end; ) {
+ x_end = x.set.end(); i != x_end; ) {
const Variable v(*i++);
using IO_Operators::operator<<;
s << v;
@@ -340,7 +340,7 @@ operator<<(std::ostream& s, const FCAIBVP& x) {
void
print_constraint(const Constraint& c,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
using IO_Operators::operator<<;
@@ -349,21 +349,21 @@ print_constraint(const Constraint& c,
void
print_constraints(const Polyhedron& ph,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
print_constraints(ph.constraints(), intro, s);
}
#if 0
void
print_constraints(const Affine_Space& affs,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
print_constraints(affs.constraints(), intro, s);
}
#endif
void
print_constraints(const Constraint_System& cs,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
Constraint_System::const_iterator i = cs.begin();
@@ -380,7 +380,7 @@ print_constraints(const Constraint_System& cs,
void
print_congruence(const Congruence& c,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
using IO_Operators::operator<<;
@@ -389,7 +389,7 @@ print_congruence(const Congruence& c,
void
print_congruences(const Congruence_System& cs,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << std::endl;
Congruence_System::const_iterator i = cs.begin();
@@ -406,13 +406,13 @@ print_congruences(const Congruence_System& cs,
void
print_congruences(const Grid& gr,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
print_congruences(gr.congruences(), intro, s);
}
void
print_generator(const Generator& g,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
using IO_Operators::operator<<;
@@ -421,7 +421,7 @@ print_generator(const Generator& g,
void
print_generator(const Grid_Generator& g,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
using IO_Operators::operator<<;
@@ -430,19 +430,19 @@ print_generator(const Grid_Generator& g,
void
print_generators(const Polyhedron& ph,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
print_generators(ph.generators(), intro, s);
}
void
print_generators(const Grid& gr,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
print_generators(gr.grid_generators(), intro, s);
}
void
print_generators(const Generator_System& gs,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
Generator_System::const_iterator i = gs.begin();
@@ -459,7 +459,7 @@ print_generators(const Generator_System& gs,
void
print_generators(const Grid_Generator_System& gs,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << "\n";
Grid_Generator_System::const_iterator i = gs.begin();
@@ -476,7 +476,7 @@ print_generators(const Grid_Generator_System& gs,
void
print_function(const Parma_Polyhedra_Library::Partial_Function& function,
- const std::string& intro, std::ostream& s) {
+ const std::string& intro, std::ostream& s) {
if (!intro.empty())
s << intro << std::endl;
function.print(s);
diff --git a/tests/ppl_test.hh b/tests/ppl_test.hh
index 1eacfa6..e45338b 100644
--- a/tests/ppl_test.hh
+++ b/tests/ppl_test.hh
@@ -1,6 +1,6 @@
/* Header file for test programs.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -25,7 +25,7 @@ site: http://bugseng.com/products/ppl/ . */
#define PPL_ppl_test_hh 1
#include "ppl_header.hh"
-#include "Random_Number_Generator.defs.hh"
+#include "Random_Number_Generator_defs.hh"
#include <stdexcept>
#include <sstream>
#include <list>
@@ -70,67 +70,67 @@ main() try { \
std::list<std::string> failed_tests; \
std::list<std::string> unexpectedly_succeeded_tests;
-#define END_MAIN \
- if (!failed_tests.empty()) { \
- std::cerr << "tests failed: "; \
+#define END_MAIN \
+ if (!failed_tests.empty()) { \
+ std::cerr << "tests failed: "; \
std::copy(failed_tests.begin(), \
failed_tests.end(), \
- std::ostream_iterator<std::string>(std::cerr, " ")); \
- std::cerr << std::endl; \
- return 1; \
- } \
- if (!unexpectedly_succeeded_tests.empty()) { \
+ std::ostream_iterator<std::string>(std::cerr, " ")); \
+ std::cerr << std::endl; \
+ return 1; \
+ } \
+ if (!unexpectedly_succeeded_tests.empty()) { \
std::cerr << "tests unexpectedly succeeded: "; \
std::copy(unexpectedly_succeeded_tests.begin(), \
unexpectedly_succeeded_tests.end(), \
- std::ostream_iterator<std::string>(std::cerr, " ")); \
- std::cerr << std::endl; \
- return 1; \
- } \
- return 0; \
-} \
-catch (const std::overflow_error& e) { \
- std::cerr << "arithmetic overflow (" << e.what() << ")" \
- << std::endl; \
- exit(1); \
-} \
-catch (const std::exception& e) { \
- std::cerr << "std::exception caught: " \
- << e.what() << " (type == " << typeid(e).name() << ")" \
- << std::endl; \
- exit(1); \
+ std::ostream_iterator<std::string>(std::cerr, " ")); \
+ std::cerr << std::endl; \
+ return 1; \
+ } \
+ return 0; \
+} \
+catch (const std::overflow_error& e) { \
+ std::cerr << "arithmetic overflow (" << e.what() << ")" \
+ << std::endl; \
+ exit(1); \
+} \
+catch (const std::exception& e) { \
+ std::cerr << "std::exception caught: " \
+ << e.what() << " (type == " << typeid(e).name() << ")" \
+ << std::endl; \
+ exit(1); \
}
-#define ANNOUNCE_TEST(test) \
+#define ANNOUNCE_TEST(test) \
nout << "\n=== " #test " ===" << std::endl
-#define RUN_TEST(test) \
- try { \
- overflow = false; \
- succeeded = test(); \
- } \
- catch (const std::overflow_error& e) { \
- nout << "arithmetic overflow (" << e.what() << ")" \
- << std::endl; \
- overflow = true; \
- succeeded = false; \
- } \
- catch (const std::exception& e) { \
- nout << "std::exception caught: " \
- << e.what() << " (type == " << typeid(e).name() << ")" \
- << std::endl; \
- succeeded = false; \
- } \
- catch (...) { \
- nout << "unknown exception caught" \
- << std::endl; \
- succeeded = false; \
+#define RUN_TEST(test) \
+ try { \
+ overflow = false; \
+ succeeded = test(); \
+ } \
+ catch (const std::overflow_error& e) { \
+ nout << "arithmetic overflow (" << e.what() << ")" \
+ << std::endl; \
+ overflow = true; \
+ succeeded = false; \
+ } \
+ catch (const std::exception& e) { \
+ nout << "std::exception caught: " \
+ << e.what() << " (type == " << typeid(e).name() << ")" \
+ << std::endl; \
+ succeeded = false; \
+ } \
+ catch (...) { \
+ nout << "unknown exception caught" \
+ << std::endl; \
+ succeeded = false; \
}
-#define DO_TEST(test) \
- ANNOUNCE_TEST(test); \
- RUN_TEST(test); \
- if (!succeeded) \
+#define DO_TEST(test) \
+ ANNOUNCE_TEST(test); \
+ RUN_TEST(test); \
+ if (!succeeded) \
failed_tests.push_back(#test);
#define DO_TEST_F(test) \
@@ -147,11 +147,11 @@ catch (const std::exception& e) { \
else if (!overflow) \
failed_tests.push_back(#test);
-#define DO_TEST_MAY_OVERFLOW_IF_INEXACT(test, shape) \
- ANNOUNCE_TEST(test); \
- RUN_TEST(test); \
- if (!succeeded) \
- if (!overflow || has_exact_coefficient_type(shape(0, EMPTY))) \
+#define DO_TEST_MAY_OVERFLOW_IF_INEXACT(test, shape) \
+ ANNOUNCE_TEST(test); \
+ RUN_TEST(test); \
+ if (!succeeded) \
+ if (!overflow || has_exact_coefficient_type(shape(0, EMPTY))) \
failed_tests.push_back(#test);
@@ -389,10 +389,10 @@ private:
public:
noisy_ostream(const std::basic_ostream<CharT, Traits>& os,
- const char* environment_variable)
+ const char* environment_variable)
: std::basic_ostream<CharT, Traits>(check_noisy(environment_variable)
- ? os.rdbuf()
- : &black_hole) {
+ ? os.rdbuf()
+ : &black_hole) {
}
};
@@ -510,26 +510,26 @@ has_exact_coefficient_type(const Box<Interval>&) {
bool
check_distance(const Checked_Number<mpq_class, Extended_Number_Policy>& d,
- const char* max_d_s, const char* d_name);
+ const char* max_d_s, const char* d_name);
template <typename T>
bool
check_result_i(const BD_Shape<T>& computed_result,
- const BD_Shape<mpq_class>& known_result,
- const char* max_r_d_s,
- const char* max_e_d_s,
- const char* max_l_d_s) {
+ const BD_Shape<mpq_class>& known_result,
+ const char* max_r_d_s,
+ const char* max_e_d_s,
+ const char* max_l_d_s) {
BD_Shape<mpq_class> q_computed_result(computed_result);
// Handle in a more efficient way the case where equality is expected.
if (max_r_d_s == 0 && max_e_d_s == 0 && max_l_d_s == 0) {
if (q_computed_result != known_result) {
using IO_Operators::operator<<;
nout << "Equality does not hold:"
- << "\ncomputed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << "\ncomputed result is\n"
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
return false;
}
else
@@ -539,11 +539,11 @@ check_result_i(const BD_Shape<T>& computed_result,
if (!q_computed_result.contains(known_result)) {
using IO_Operators::operator<<;
nout << "Containment does not hold:"
- << "\ncomputed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << "\ncomputed result is\n"
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
return false;
}
@@ -560,10 +560,10 @@ check_result_i(const BD_Shape<T>& computed_result,
if (!ok) {
using IO_Operators::operator<<;
nout << "Computed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
}
return ok;
}
@@ -571,21 +571,21 @@ check_result_i(const BD_Shape<T>& computed_result,
template <typename T>
bool
check_result(const BD_Shape<T>& computed_result,
- const BD_Shape<mpq_class>& known_result,
- const char* max_r_d_s,
- const char* max_e_d_s,
- const char* max_l_d_s) {
+ const BD_Shape<mpq_class>& known_result,
+ const char* max_r_d_s,
+ const char* max_e_d_s,
+ const char* max_l_d_s) {
return std::numeric_limits<T>::is_integer
? check_result_i(computed_result, known_result,
- "+inf", "+inf", "+inf")
+ "+inf", "+inf", "+inf")
: check_result_i(computed_result, known_result,
- max_r_d_s, max_e_d_s, max_l_d_s);
+ max_r_d_s, max_e_d_s, max_l_d_s);
}
template <typename T>
bool
check_result(const BD_Shape<T>& computed_result,
- const BD_Shape<T>& known_result) {
+ const BD_Shape<T>& known_result) {
if (computed_result == known_result)
return true;
else {
@@ -603,7 +603,7 @@ check_result(const BD_Shape<T>& computed_result,
template <typename T>
bool
check_result(const BD_Shape<T>& computed_result,
- const BD_Shape<mpq_class>& known_result) {
+ const BD_Shape<mpq_class>& known_result) {
return std::numeric_limits<T>::is_integer
? check_result_i(computed_result, known_result, "+inf", "+inf", "+inf")
: check_result_i(computed_result, known_result, 0, 0, 0);
@@ -611,26 +611,26 @@ check_result(const BD_Shape<T>& computed_result,
bool
check_result(const BD_Shape<mpq_class>& computed_result,
- const BD_Shape<mpq_class>& known_result);
+ const BD_Shape<mpq_class>& known_result);
template <typename T>
bool
check_result_i(const Octagonal_Shape<T>& computed_result,
- const Octagonal_Shape<mpq_class>& known_result,
- const char* max_r_d_s,
- const char* max_e_d_s,
- const char* max_l_d_s) {
+ const Octagonal_Shape<mpq_class>& known_result,
+ const char* max_r_d_s,
+ const char* max_e_d_s,
+ const char* max_l_d_s) {
Octagonal_Shape<mpq_class> q_computed_result(computed_result);
// Handle in a more efficient way the case where equality is expected.
if (max_r_d_s == 0 && max_e_d_s == 0 && max_l_d_s == 0) {
if (q_computed_result != known_result) {
using IO_Operators::operator<<;
nout << "Equality does not hold:"
- << "\ncomputed result is\n"
+ << "\ncomputed result is\n"
<< q_computed_result
- << "\nknown result is\n"
+ << "\nknown result is\n"
<< known_result
- << std::endl;
+ << std::endl;
return false;
}
else
@@ -640,11 +640,11 @@ check_result_i(const Octagonal_Shape<T>& computed_result,
if (!q_computed_result.contains(known_result)) {
using IO_Operators::operator<<;
nout << "Containment does not hold:"
- << "\ncomputed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << "\ncomputed result is\n"
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
return false;
}
@@ -661,10 +661,10 @@ check_result_i(const Octagonal_Shape<T>& computed_result,
if (!ok) {
using IO_Operators::operator<<;
nout << "Computed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
}
return ok;
}
@@ -672,32 +672,32 @@ check_result_i(const Octagonal_Shape<T>& computed_result,
template <typename T>
bool
check_result(const Octagonal_Shape<T>& computed_result,
- const Octagonal_Shape<mpq_class>& known_result,
- const char* max_r_d_s,
- const char* max_e_d_s,
- const char* max_l_d_s) {
+ const Octagonal_Shape<mpq_class>& known_result,
+ const char* max_r_d_s,
+ const char* max_e_d_s,
+ const char* max_l_d_s) {
return std::numeric_limits<T>::is_integer
? check_result_i(computed_result, known_result,
- "+inf", "+inf", "+inf")
+ "+inf", "+inf", "+inf")
: check_result_i(computed_result, known_result,
- max_r_d_s, max_e_d_s, max_l_d_s);
+ max_r_d_s, max_e_d_s, max_l_d_s);
}
template <>
inline bool
check_result(const Octagonal_Shape<mpq_class>& computed_result,
- const Octagonal_Shape<mpq_class>& known_result,
- const char*,
- const char*,
- const char*) {
+ const Octagonal_Shape<mpq_class>& known_result,
+ const char*,
+ const char*,
+ const char*) {
return check_result_i(computed_result, known_result,
- 0, 0, 0);
+ 0, 0, 0);
}
template <typename T>
bool
check_result(const Octagonal_Shape<T>& computed_result,
- const Octagonal_Shape<mpq_class>& known_result) {
+ const Octagonal_Shape<mpq_class>& known_result) {
return std::numeric_limits<T>::is_integer
? check_result_i(computed_result, known_result, "+inf", "+inf", "+inf")
: check_result_i(computed_result, known_result, 0, 0, 0);
@@ -707,21 +707,21 @@ check_result(const Octagonal_Shape<T>& computed_result,
template <typename Interval>
bool
check_result_i(const Box<Interval>& computed_result,
- const Rational_Box& known_result,
- const char* max_r_d_s,
- const char* max_e_d_s,
- const char* max_l_d_s) {
+ const Rational_Box& known_result,
+ const char* max_r_d_s,
+ const char* max_e_d_s,
+ const char* max_l_d_s) {
Rational_Box q_computed_result(computed_result);
// Handle in a more efficient way the case where equality is expected.
if (max_r_d_s == 0 && max_e_d_s == 0 && max_l_d_s == 0) {
if (q_computed_result != known_result) {
using IO_Operators::operator<<;
nout << "Equality does not hold:"
- << "\ncomputed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << "\ncomputed result is\n"
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
return false;
}
else
@@ -731,22 +731,22 @@ check_result_i(const Box<Interval>& computed_result,
if (!q_computed_result.contains(known_result)) {
using IO_Operators::operator<<;
nout << "Containment does not hold:"
- << "\ncomputed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << "\ncomputed result is\n"
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
nout << "Individual dimensions where containment does not hold"
- << "\n(Variable: computed-result known-result):\n";
+ << "\n(Variable: computed-result known-result):\n";
for (dimension_type i = 0; i < computed_result.space_dimension(); ++i) {
if (!q_computed_result.get_interval(Variable(i))
.contains(known_result.get_interval(Variable(i)))) {
using IO_Operators::operator<<;
- nout << Variable(i) << ": "
- << q_computed_result.get_interval(Variable(i))
- << ' '
- << known_result.get_interval(Variable(i))
- << std::endl;
+ nout << Variable(i) << ": "
+ << q_computed_result.get_interval(Variable(i))
+ << ' '
+ << known_result.get_interval(Variable(i))
+ << std::endl;
}
}
return false;
@@ -765,10 +765,10 @@ check_result_i(const Box<Interval>& computed_result,
if (!ok) {
using IO_Operators::operator<<;
nout << "Computed result is\n"
- << q_computed_result
- << "\nknown result is\n"
- << known_result
- << std::endl;
+ << q_computed_result
+ << "\nknown result is\n"
+ << known_result
+ << std::endl;
}
return ok;
}
@@ -776,21 +776,21 @@ check_result_i(const Box<Interval>& computed_result,
template <typename Interval>
bool
check_result(const Box<Interval>& computed_result,
- const Rational_Box& known_result,
- const char* max_r_d_s,
- const char* max_e_d_s,
- const char* max_l_d_s) {
+ const Rational_Box& known_result,
+ const char* max_r_d_s,
+ const char* max_e_d_s,
+ const char* max_l_d_s) {
return std::numeric_limits<typename Interval::boundary_type>::is_integer
? check_result_i(computed_result, known_result,
- "+inf", "+inf", "+inf")
+ "+inf", "+inf", "+inf")
: check_result_i(computed_result, known_result,
- max_r_d_s, max_e_d_s, max_l_d_s);
+ max_r_d_s, max_e_d_s, max_l_d_s);
}
template <typename Interval>
bool
check_result(const Box<Interval>& computed_result,
- const Box<Interval>& known_result) {
+ const Box<Interval>& known_result) {
if (computed_result == known_result)
return true;
else {
@@ -808,7 +808,7 @@ check_result(const Box<Interval>& computed_result,
template <typename Interval>
bool
check_result(const Box<Interval>& computed_result,
- const Rational_Box& known_result) {
+ const Rational_Box& known_result) {
return std::numeric_limits<typename Interval::boundary_type>::is_integer
? check_result_i(computed_result, known_result, "+inf", "+inf", "+inf")
: check_result_i(computed_result, known_result, 0, 0, 0);
@@ -816,7 +816,7 @@ check_result(const Box<Interval>& computed_result,
bool
check_result(const Rational_Box& computed_result,
- const Rational_Box& known_result);
+ const Rational_Box& known_result);
bool
check_result(const Generator& computed_result,
@@ -904,7 +904,7 @@ inline
FCAIBVP::FCAIBVP(const Variables_Set& y)
: set() {
for (Variables_Set::const_iterator i = y.begin(),
- y_end = y.end(); i != y_end; ++i)
+ y_end = y.end(); i != y_end; ++i)
set.insert(*i);
}
@@ -912,7 +912,7 @@ inline
FCAIBVP::FCAIBVP(const FCAIBVP& y, unsigned offset)
: set() {
for (Set::const_iterator i = y.set.begin(),
- y_set_end = y.set.end(); i != y_set_end; ++i)
+ y_set_end = y.set.end(); i != y_set_end; ++i)
set.insert(*i + offset);
}
@@ -935,7 +935,7 @@ inline bool
FCAIBVP::definitely_entails(const FCAIBVP& y) const{
const FCAIBVP& x = *this;
return std::includes(x.set.begin(), x.set.end(),
- y.set.begin(), y.set.end());
+ y.set.begin(), y.set.end());
}
inline void
@@ -943,8 +943,8 @@ FCAIBVP::upper_bound_assign(const FCAIBVP& y) {
FCAIBVP& x = *this;
FCAIBVP z;
std::set_intersection(x.set.begin(), x.set.end(),
- y.set.begin(), y.set.end(),
- std::inserter(z.set, z.set.begin()));
+ y.set.begin(), y.set.end(),
+ std::inserter(z.set, z.set.begin()));
using std::swap;
swap(x, z);
}
@@ -954,8 +954,8 @@ FCAIBVP::difference_assign(const FCAIBVP& y) {
FCAIBVP& x = *this;
FCAIBVP z;
std::set_difference(x.set.begin(), x.set.end(),
- y.set.begin(), y.set.end(),
- std::inserter(z.set, z.set.begin()));
+ y.set.begin(), y.set.end(),
+ std::inserter(z.set, z.set.begin()));
using std::swap;
swap(x, z);
}
@@ -992,31 +992,31 @@ operator!=(const FCAIBVP& x, const FCAIBVP& y) {
void
print_constraint(const Constraint& c,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_constraints(const Constraint_System& cs,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_constraints(const Polyhedron& ph,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
#if 0
void
print_constraints(const Affine_Space& affs,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
#endif
template <typename Interval>
void
print_constraints(const Box<Interval>& box,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
if (!intro.empty())
s << intro << std::endl;
using IO_Operators::operator<<;
@@ -1026,8 +1026,8 @@ print_constraints(const Box<Interval>& box,
template <typename T>
void
print_constraints(const BD_Shape<T>& bd,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
if (!intro.empty())
s << intro << std::endl;
using IO_Operators::operator<<;
@@ -1037,8 +1037,8 @@ print_constraints(const BD_Shape<T>& bd,
template <typename T>
void
print_constraints(const Octagonal_Shape<T>& oc,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
if (!intro.empty())
s << intro << std::endl;
using IO_Operators::operator<<;
@@ -1048,8 +1048,8 @@ print_constraints(const Octagonal_Shape<T>& oc,
template <typename PH>
void
print_constraints(const Pointset_Powerset<PH>& pps,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
if (!intro.empty())
s << intro << std::endl;
using IO_Operators::operator<<;
@@ -1059,8 +1059,8 @@ print_constraints(const Pointset_Powerset<PH>& pps,
template <typename PH>
void
print_congruences(const Pointset_Powerset<PH>& pps,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
if (!intro.empty())
s << intro << std::endl;
using IO_Operators::operator<<;
@@ -1071,8 +1071,8 @@ print_congruences(const Pointset_Powerset<PH>& pps,
template <typename PH>
void
print_constraints(const Pointset_Ask_Tell<PH>& pat,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
if (!intro.empty())
s << intro << std::endl;
using IO_Operators::operator<<;
@@ -1082,69 +1082,69 @@ print_constraints(const Pointset_Ask_Tell<PH>& pat,
void
print_congruence(const Congruence& c,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_congruences(const Congruence_System& cgs,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_congruences(const Grid& gr,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_generator(const Generator& g,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_generator(const Grid_Generator& g,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_generators(const Generator_System& gs,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_generators(const Grid_Generator_System& gs,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_generators(const Polyhedron& ph,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
void
print_generators(const Grid& gr,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
template <typename D1, typename D2, typename R>
void
print_constraints(const Partially_Reduced_Product<D1, D2, R>& pd,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
print_constraints(pd.constraints(), intro, s);
}
template <typename D1, typename D2, typename R>
void
print_congruences(const Partially_Reduced_Product<D1, D2, R>& pd,
- const std::string& intro = "",
- std::ostream& s = nout) {
+ const std::string& intro = "",
+ std::ostream& s = nout) {
print_congruences(pd.congruences(), intro, s);
}
void
print_function(const Parma_Polyhedra_Library::Partial_Function& function,
- const std::string& intro = "",
- std::ostream& s = nout);
+ const std::string& intro = "",
+ std::ostream& s = nout);
} // namespace Test
diff --git a/utils/Makefile.am b/utils/Makefile.am
index 73261d0..5ab9309 100644
--- a/utils/Makefile.am
+++ b/utils/Makefile.am
@@ -1,6 +1,6 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/utils/Makefile.in b/utils/Makefile.in
index b702504..b42c82b 100644
--- a/utils/Makefile.in
+++ b/utils/Makefile.in
@@ -1,9 +1,8 @@
-# Makefile.in generated by automake 1.11.3 from Makefile.am.
+# Makefile.in generated by automake 1.12.6 from Makefile.am.
# @configure_input@
-# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
-# 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software
-# Foundation, Inc.
+# Copyright (C) 1994-2012 Free Software Foundation, Inc.
+
# This Makefile.in is free software; the Free Software Foundation
# gives unlimited permission to copy and/or distribute it,
# with or without modifications, as long as this notice is preserved.
@@ -17,7 +16,7 @@
# Automake source file for the Parma Polyhedra Library.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
@@ -40,6 +39,23 @@
VPATH = @srcdir@
+am__make_dryrun = \
+ { \
+ am__dry=no; \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ echo 'am--echo: ; @echo "AM" OK' | $(MAKE) -f - 2>/dev/null \
+ | grep '^AM OK$$' >/dev/null || am__dry=yes;; \
+ *) \
+ for am__flg in $$MAKEFLAGS; do \
+ case $$am__flg in \
+ *=*|--*) ;; \
+ *n*) am__dry=yes; break;; \
+ esac; \
+ done;; \
+ esac; \
+ test $$am__dry = yes; \
+ }
pkgdatadir = $(datadir)/@PACKAGE@
pkgincludedir = $(includedir)/@PACKAGE@
pkglibdir = $(libdir)/@PACKAGE@
@@ -60,7 +76,8 @@ build_triplet = @build@
host_triplet = @host@
subdir = utils
DIST_COMMON = $(dist_noinst_SCRIPTS) $(srcdir)/Makefile.am \
- $(srcdir)/Makefile.in
+ $(srcdir)/Makefile.in $(top_srcdir)/depcomp \
+ $(top_srcdir)/mkinstalldirs
ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
am__aclocal_m4_deps = $(top_srcdir)/m4/ac_check_ciao.m4 \
$(top_srcdir)/m4/ac_check_fpu_control.m4 \
@@ -97,15 +114,25 @@ LIBRARIES = $(noinst_LIBRARIES)
ARFLAGS = cru
AM_V_AR = $(am__v_AR_ at AM_V@)
am__v_AR_ = $(am__v_AR_ at AM_DEFAULT_V@)
-am__v_AR_0 = @echo " AR " $@;
-AM_V_at = $(am__v_at_ at AM_V@)
-am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
-am__v_at_0 = @
+am__v_AR_0 = @echo " AR " $@;
+am__v_AR_1 =
libppl_utils_a_AR = $(AR) $(ARFLAGS)
libppl_utils_a_LIBADD =
am_libppl_utils_a_OBJECTS = timings.$(OBJEXT)
libppl_utils_a_OBJECTS = $(am_libppl_utils_a_OBJECTS)
SCRIPTS = $(dist_noinst_SCRIPTS) $(noinst_SCRIPTS)
+AM_V_P = $(am__v_P_ at AM_V@)
+am__v_P_ = $(am__v_P_ at AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_ at AM_V@)
+am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_ at AM_V@)
+am__v_at_ = $(am__v_at_ at AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
DEFAULT_INCLUDES = -I. at am__isrc@ -I$(top_builddir)
depcomp = $(SHELL) $(top_srcdir)/depcomp
am__depfiles_maybe = depfiles
@@ -115,20 +142,23 @@ CXXCOMPILE = $(CXX) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \
AM_V_lt = $(am__v_lt_ at AM_V@)
am__v_lt_ = $(am__v_lt_ at AM_DEFAULT_V@)
am__v_lt_0 = --silent
+am__v_lt_1 =
LTCXXCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=compile $(CXX) $(DEFS) \
$(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) \
$(AM_CXXFLAGS) $(CXXFLAGS)
AM_V_CXX = $(am__v_CXX_ at AM_V@)
am__v_CXX_ = $(am__v_CXX_ at AM_DEFAULT_V@)
-am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_0 = @echo " CXX " $@;
+am__v_CXX_1 =
CXXLD = $(CXX)
CXXLINK = $(LIBTOOL) $(AM_V_lt) --tag=CXX $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CXXLD) $(AM_CXXFLAGS) \
$(CXXFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CXXLD = $(am__v_CXXLD_ at AM_V@)
am__v_CXXLD_ = $(am__v_CXXLD_ at AM_DEFAULT_V@)
-am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_0 = @echo " CXXLD " $@;
+am__v_CXXLD_1 =
COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
@@ -137,19 +167,23 @@ LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(AM_CFLAGS) $(CFLAGS)
AM_V_CC = $(am__v_CC_ at AM_V@)
am__v_CC_ = $(am__v_CC_ at AM_DEFAULT_V@)
-am__v_CC_0 = @echo " CC " $@;
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
CCLD = $(CC)
LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
$(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
$(AM_LDFLAGS) $(LDFLAGS) -o $@
AM_V_CCLD = $(am__v_CCLD_ at AM_V@)
am__v_CCLD_ = $(am__v_CCLD_ at AM_DEFAULT_V@)
-am__v_CCLD_0 = @echo " CCLD " $@;
-AM_V_GEN = $(am__v_GEN_ at AM_V@)
-am__v_GEN_ = $(am__v_GEN_ at AM_DEFAULT_V@)
-am__v_GEN_0 = @echo " GEN " $@;
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
SOURCES = $(libppl_utils_a_SOURCES)
DIST_SOURCES = $(libppl_utils_a_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
ETAGS = etags
CTAGS = ctags
DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
@@ -494,6 +528,20 @@ GTAGS:
&& $(am__cd) $(top_srcdir) \
&& gtags -i $(GTAGS_ARGS) "$$here"
+cscopelist: $(HEADERS) $(SOURCES) $(LISP)
+ list='$(SOURCES) $(HEADERS) $(LISP)'; \
+ case "$(srcdir)" in \
+ [\\/]* | ?:[\\/]*) sdir="$(srcdir)" ;; \
+ *) sdir=$(subdir)/$(srcdir) ;; \
+ esac; \
+ for i in $$list; do \
+ if test -f "$$i"; then \
+ echo "$(subdir)/$$i"; \
+ else \
+ echo "$$sdir/$$i"; \
+ fi; \
+ done >> $(top_builddir)/cscope.files
+
distclean-tags:
-rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
@@ -639,17 +687,18 @@ uninstall-am:
.MAKE: install-am install-strip
.PHONY: CTAGS GTAGS all all-am check check-am clean clean-generic \
- clean-libtool clean-noinstLIBRARIES ctags dist-hook distclean \
- distclean-compile distclean-generic distclean-libtool \
- distclean-tags distdir dvi dvi-am html html-am info info-am \
- install install-am install-data install-data-am install-dvi \
- install-dvi-am install-exec install-exec-am install-html \
- install-html-am install-info install-info-am install-man \
- install-pdf install-pdf-am install-ps install-ps-am \
- install-strip installcheck installcheck-am installdirs \
- maintainer-clean maintainer-clean-generic mostlyclean \
- mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
- pdf pdf-am ps ps-am tags uninstall uninstall-am
+ clean-libtool clean-noinstLIBRARIES cscopelist ctags dist-hook \
+ distclean distclean-compile distclean-generic \
+ distclean-libtool distclean-tags distdir dvi dvi-am html \
+ html-am info info-am install install-am install-data \
+ install-data-am install-dvi install-dvi-am install-exec \
+ install-exec-am install-html install-html-am install-info \
+ install-info-am install-man install-pdf install-pdf-am \
+ install-ps install-ps-am install-strip installcheck \
+ installcheck-am installdirs maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-compile \
+ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
+ tags uninstall uninstall-am
# Even if the scripts listed in noinst_SCRIPTS are not distributed
diff --git a/utils/build_header.in b/utils/build_header.in
index f563eef..8e0f139 100644
--- a/utils/build_header.in
+++ b/utils/build_header.in
@@ -7,7 +7,7 @@ eval 'case $# in 0) exec @PERL@ -S "$0";; *) exec @PERL@ -S "$0" "$@";; esac'
# Builds a self-contained C++ header file by performing recursive inclusion.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/utils/cm_cleaner.sh b/utils/cm_cleaner.sh
index afd3674..c81a14f 100755
--- a/utils/cm_cleaner.sh
+++ b/utils/cm_cleaner.sh
@@ -2,7 +2,7 @@
# Erases all files listed in the cutting markers found on stdin.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/utils/cm_splitter.sh b/utils/cm_splitter.sh
index b9d2617..9d9e6e0 100755
--- a/utils/cm_splitter.sh
+++ b/utils/cm_splitter.sh
@@ -2,7 +2,7 @@
# Splits stdin according to cutting markers.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/utils/text2cxxarray.in b/utils/text2cxxarray.in
index e484735..e3dc569 100644
--- a/utils/text2cxxarray.in
+++ b/utils/text2cxxarray.in
@@ -7,7 +7,7 @@ eval 'case $# in 0) exec @PERL@ -S "$0";; *) exec @PERL@ -S "$0" "$@";; esac'
# Convert an ASCII text into the declaration of a C++ array.
# Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
-# Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+# Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
#
# This file is part of the Parma Polyhedra Library (PPL).
#
diff --git a/utils/timings.cc b/utils/timings.cc
index 20b94fd..f0029b4 100644
--- a/utils/timings.cc
+++ b/utils/timings.cc
@@ -1,6 +1,6 @@
/* Definitions of simple functions for printing timings.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
@@ -70,29 +70,29 @@ print_clock(ostream& s) {
exit(1);
}
else {
- time_t current_secs = usage.ru_utime.tv_sec;
- time_t current_usecs = usage.ru_utime.tv_usec;
- time_t saved_secs = saved_ru_utime.tv_sec;
- time_t saved_usecs = saved_ru_utime.tv_usec;
+ const time_t current_secs = usage.ru_utime.tv_sec;
+ const time_t current_usecs = usage.ru_utime.tv_usec;
+ const time_t saved_secs = saved_ru_utime.tv_sec;
+ const time_t saved_usecs = saved_ru_utime.tv_usec;
time_t secs;
time_t csecs;
secs = current_secs - saved_secs;
if (current_usecs < saved_usecs) {
csecs = (((1000000 + current_usecs) - saved_usecs) + 5000) / 10000;
if (csecs < 100)
- --secs;
+ --secs;
else
- csecs = 0;
+ csecs = 0;
}
else {
csecs = ((current_usecs - saved_usecs) + 5000) / 10000;
if (csecs == 100) {
- ++secs;
- csecs = 0;
+ ++secs;
+ csecs = 0;
}
}
assert(csecs >= 0 && csecs < 100 && secs >= 0);
- char fill_char = s.fill();
+ const char fill_char = s.fill();
s << secs << "." << setfill('0') << setw(2) << csecs;
s.fill(fill_char);
}
diff --git a/utils/timings.hh b/utils/timings.hh
index 2c0eeaf..0fac175 100644
--- a/utils/timings.hh
+++ b/utils/timings.hh
@@ -1,6 +1,6 @@
/* Declaration of simple functions for printing timings.
Copyright (C) 2001-2010 Roberto Bagnara <bagnara at cs.unipr.it>
- Copyright (C) 2010-2012 BUGSENG srl (http://bugseng.com)
+ Copyright (C) 2010-2013 BUGSENG srl (http://bugseng.com)
This file is part of the Parma Polyhedra Library (PPL).
--
Alioth's /usr/local/bin/git-commit-notice on /srv/git.debian.org/git/debian-science/packages/ppl.git
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